%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP172^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 10:24:33 AM UTC 2026
% Result : Theorem 99.29s 20.03s
% Output : CNFRefutation 99.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 166
% Syntax : Number of formulae : 4131 (1029 unt; 0 typ; 0 def)
% Number of atoms : 30439 (20227 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 65810 (15157 ~;12013 |; 105 &;37902 @)
% ( 0 <=>; 633 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Number of types : 26 ( 25 usr)
% Number of type conns : 4640 (4640 >; 0 *; 0 +; 0 <<)
% Number of symbols : 410 ( 407 usr; 18 con; 0-5 aty)
% Number of variables : 16359 ( 56 ^;16246 !; 57 ?;16359 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_char,type,
char: $tType ).
thf(tp_docume1935157360tr_d_e,type,
docume1935157360tr_d_e: $tType ).
thf(tp_element_ptr_a,type,
element_ptr_a: $tType ).
thf(tp_fset_d1663890464tr_d_e,type,
fset_d1663890464tr_d_e: $tType ).
thf(tp_heap_S1465075775_j_k_l,type,
heap_S1465075775_j_k_l: $tType ).
thf(tp_list_char,type,
list_char: $tType ).
thf(tp_list_l118626078tr_b_c,type,
list_l118626078tr_b_c: $tType ).
thf(tp_list_list_char,type,
list_list_char: $tType ).
thf(tp_list_n282880152tr_b_c,type,
list_n282880152tr_b_c: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_node_p1234578834tr_b_c,type,
node_p1234578834tr_b_c: $tType ).
thf(tp_object945351580_d_e_f,type,
object945351580_d_e_f: $tType ).
thf(tp_option1330818496tr_d_e,type,
option1330818496tr_d_e: $tType ).
thf(tp_option1749760295_j_k_l,type,
option1749760295_j_k_l: $tType ).
thf(tp_option2026120038on_j_k,type,
option2026120038on_j_k: $tType ).
thf(tp_option841825948on_j_k,type,
option841825948on_j_k: $tType ).
thf(tp_option_element_ptr_a,type,
option_element_ptr_a: $tType ).
thf(tp_product_unit,type,
product_unit: $tType ).
thf(tp_rDocum326988203on_j_k,type,
rDocum326988203on_j_k: $tType ).
thf(tp_rObjec103300152t_unit,type,
rObjec103300152t_unit: $tType ).
thf(tp_rObjec1413572695_j_k_l,type,
rObjec1413572695_j_k_l: $tType ).
thf(tp_rObjec1617416918on_j_k,type,
rObjec1617416918on_j_k: $tType ).
thf(tp_set_nat,type,
set_nat: $tType ).
thf(tp_sum_su1221287958on_j_k,type,
sum_su1221287958on_j_k: $tType ).
thf(tp_sum_su1576157353tr_d_e,type,
sum_su1576157353tr_d_e: $tType ).
thf(tp_append846395565tr_b_c,type,
append846395565tr_b_c: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_append_char,type,
append_char: list_char > list_char > list_char ).
thf(tp_bind_S287509021_ptr_a,type,
bind_S287509021_ptr_a: option2026120038on_j_k > ( sum_su1221287958on_j_k > option_element_ptr_a ) > option_element_ptr_a ).
thf(tp_bind_S607117548on_j_k,type,
bind_S607117548on_j_k: option2026120038on_j_k > ( sum_su1221287958on_j_k > option2026120038on_j_k ) > option2026120038on_j_k ).
thf(tp_bind_e1012152651on_j_k,type,
bind_e1012152651on_j_k: option_element_ptr_a > ( element_ptr_a > option2026120038on_j_k ) > option2026120038on_j_k ).
thf(tp_bind_e22036734_ptr_a,type,
bind_e22036734_ptr_a: option_element_ptr_a > ( element_ptr_a > option_element_ptr_a ) > option_element_ptr_a ).
thf(tp_bot_bo1111241908tr_d_e,type,
bot_bo1111241908tr_d_e: fset_d1663890464tr_d_e ).
thf(tp_bot_bot_nat,type,
bot_bot_nat: nat ).
thf(tp_bot_bot_set_nat,type,
bot_bot_set_nat: set_nat ).
thf(tp_cast_D1252964113_h_i_l,type,
cast_D1252964113_h_i_l: rObjec1617416918on_j_k > rObjec1413572695_j_k_l ).
thf(tp_cast_O1034441233_j_k_l,type,
cast_O1034441233_j_k_l: rObjec1413572695_j_k_l > option841825948on_j_k ).
thf(tp_cast_d1608273229_b_c_f,type,
cast_d1608273229_b_c_f: docume1935157360tr_d_e > object945351580_d_e_f ).
thf(tp_cast_o761049241_d_e_f,type,
cast_o761049241_d_e_f: object945351580_d_e_f > option1330818496tr_d_e ).
thf(tp_collect_nat,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(tp_cons_char,type,
cons_char: char > list_char > list_char ).
thf(tp_cons_l1809994318tr_b_c,type,
cons_l1809994318tr_b_c: list_n282880152tr_b_c > list_l118626078tr_b_c > list_l118626078tr_b_c ).
thf(tp_cons_list_char,type,
cons_list_char: list_char > list_list_char > list_list_char ).
thf(tp_cons_n413985352tr_b_c,type,
cons_n413985352tr_b_c: node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_count_2128515342tr_b_c,type,
count_2128515342tr_b_c: list_n282880152tr_b_c > node_p1234578834tr_b_c > nat ).
thf(tp_count_list_char,type,
count_list_char: list_char > char > nat ).
thf(tp_discon442323090on_j_k,type,
discon442323090on_j_k: ( list_n282880152tr_b_c > list_n282880152tr_b_c ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).
thf(tp_discon866287741on_j_k,type,
discon866287741on_j_k: rObjec1617416918on_j_k > list_n282880152tr_b_c ).
thf(tp_doctyp68000440on_j_k,type,
doctyp68000440on_j_k: ( list_char > list_char ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).
thf(tp_doctyp814403297on_j_k,type,
doctyp814403297on_j_k: rObjec1617416918on_j_k > list_char ).
thf(tp_docume1070804385_j_k_l,type,
docume1070804385_j_k_l: heap_S1465075775_j_k_l > fset_d1663890464tr_d_e ).
thf(tp_docume1175131570on_j_k,type,
docume1175131570on_j_k: rObjec1617416918on_j_k > option_element_ptr_a ).
thf(tp_docume1511108976tr_d_e,type,
docume1511108976tr_d_e: nat > docume1935157360tr_d_e ).
thf(tp_docume1799427087tr_d_e,type,
docume1799427087tr_d_e: ( sum_su1576157353tr_d_e > nat ) > docume1935157360tr_d_e > nat ).
thf(tp_docume1825929374tr_d_e,type,
docume1825929374tr_d_e: sum_su1576157353tr_d_e > docume1935157360tr_d_e ).
thf(tp_docume244715269on_j_k,type,
docume244715269on_j_k: ( option_element_ptr_a > option_element_ptr_a ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).
thf(tp_extend1066431834on_j_k,type,
extend1066431834on_j_k: rObjec103300152t_unit > rDocum326988203on_j_k > rObjec1617416918on_j_k ).
thf(tp_extend_Product_unit,type,
extend_Product_unit: rObjec103300152t_unit > product_unit > rObjec103300152t_unit ).
thf(tp_gen_le170886571tr_b_c,type,
gen_le170886571tr_b_c: nat > list_l118626078tr_b_c > nat ).
thf(tp_gen_le955068453tr_b_c,type,
gen_le955068453tr_b_c: nat > list_n282880152tr_b_c > nat ).
thf(tp_gen_length_char,type,
gen_length_char: nat > list_char > nat ).
thf(tp_gen_length_list_char,type,
gen_length_list_char: nat > list_list_char > nat ).
thf(tp_get_D_1192261494_j_k_l,type,
get_D_1192261494_j_k_l: docume1935157360tr_d_e > heap_S1465075775_j_k_l > option841825948on_j_k ).
thf(tp_get_O_623850005_j_k_l,type,
get_O_623850005_j_k_l: object945351580_d_e_f > heap_S1465075775_j_k_l > option1749760295_j_k_l ).
thf(tp_h,type,
h: heap_S1465075775_j_k_l ).
thf(tp_h2,type,
h2: heap_S1465075775_j_k_l ).
thf(tp_insert678865070tr_b_c,type,
insert678865070tr_b_c: node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_insert_char,type,
insert_char: char > list_char > list_char ).
thf(tp_is_doc1417632087_j_k_l,type,
is_doc1417632087_j_k_l: rObjec1413572695_j_k_l > $o ).
thf(tp_is_doc2037328342tr_d_e,type,
is_doc2037328342tr_d_e: docume1935157360tr_d_e > $o ).
thf(tp_list_e469495899tr_b_c,type,
list_e469495899tr_b_c: ( node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ).
thf(tp_list_e529904353tr_b_c,type,
list_e529904353tr_b_c: ( list_n282880152tr_b_c > $o ) > list_l118626078tr_b_c > $o ).
thf(tp_list_ex1_char,type,
list_ex1_char: ( char > $o ) > list_char > $o ).
thf(tp_list_ex1_list_char,type,
list_ex1_list_char: ( list_char > $o ) > list_list_char > $o ).
thf(tp_member_nat,type,
member_nat: nat > set_nat > $o ).
thf(tp_more_Product_unit,type,
more_Product_unit: rObjec103300152t_unit > product_unit ).
thf(tp_more_R1625109589on_j_k,type,
more_R1625109589on_j_k: rObjec1617416918on_j_k > rDocum326988203on_j_k ).
thf(tp_more_c1453068134on_j_k,type,
more_c1453068134on_j_k: rObjec1617416918on_j_k > option2026120038on_j_k ).
thf(tp_more_u1044474223_c_a_b,type,
more_u1044474223_c_a_b: ( option2026120038on_j_k > option2026120038on_j_k ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).
thf(tp_n_list1807568544tr_b_c,type,
n_list1807568544tr_b_c: nat > list_n282880152tr_b_c > list_l118626078tr_b_c ).
thf(tp_n_lists_char,type,
n_lists_char: nat > list_char > list_list_char ).
thf(tp_nat_set_decode,type,
nat_set_decode: nat > set_nat ).
thf(tp_nat_set_encode,type,
nat_set_encode: set_nat > nat ).
thf(tp_nat_triangle,type,
nat_triangle: nat > nat ).
thf(tp_nil_char,type,
nil_char: list_char ).
thf(tp_nil_li198338206tr_b_c,type,
nil_li198338206tr_b_c: list_l118626078tr_b_c ).
thf(tp_nil_list_char,type,
nil_list_char: list_list_char ).
thf(tp_nil_no279930520tr_b_c,type,
nil_no279930520tr_b_c: list_n282880152tr_b_c ).
thf(tp_none_R1587534007on_j_k,type,
none_R1587534007on_j_k: option841825948on_j_k ).
thf(tp_none_R1773662646_j_k_l,type,
none_R1773662646_j_k_l: option1749760295_j_k_l ).
thf(tp_none_S1393028981on_j_k,type,
none_S1393028981on_j_k: option2026120038on_j_k ).
thf(tp_none_d1458959567tr_d_e,type,
none_d1458959567tr_d_e: option1330818496tr_d_e ).
thf(tp_none_element_ptr_a,type,
none_element_ptr_a: option_element_ptr_a ).
thf(tp_nothin1105341917on_j_k,type,
nothin1105341917on_j_k: ( product_unit > product_unit ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).
thf(tp_nothin1567949605on_j_k,type,
nothin1567949605on_j_k: rObjec1617416918on_j_k > product_unit ).
thf(tp_nothin757132294on_j_k,type,
nothin757132294on_j_k: rObjec1617416918on_j_k > product_unit ).
thf(tp_nothing_Product_unit,type,
nothing_Product_unit: rObjec103300152t_unit > product_unit ).
thf(tp_nths_char,type,
nths_char: list_char > set_nat > list_char ).
thf(tp_nths_n1256675478tr_b_c,type,
nths_n1256675478tr_b_c: list_n282880152tr_b_c > set_nat > list_n282880152tr_b_c ).
thf(tp_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(tp_produc1509350401tr_b_c,type,
produc1509350401tr_b_c: list_l118626078tr_b_c > list_l118626078tr_b_c ).
thf(tp_product_Unity,type,
product_Unity: product_unit ).
thf(tp_product_lists_char,type,
product_lists_char: list_list_char > list_list_char ).
thf(tp_put_D_2126422573_h_i_l,type,
put_D_2126422573_h_i_l: docume1935157360tr_d_e > rObjec1617416918on_j_k > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).
thf(tp_put_O_834343516_j_k_l,type,
put_O_834343516_j_k_l: object945351580_d_e_f > rObjec1413572695_j_k_l > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l ).
thf(tp_rDocum427676485on_j_k,type,
rDocum427676485on_j_k: product_unit > list_char > option_element_ptr_a > list_n282880152tr_b_c > option2026120038on_j_k > rDocum326988203on_j_k ).
thf(tp_rObjec1303043984on_j_k,type,
rObjec1303043984on_j_k: product_unit > rDocum326988203on_j_k > rObjec1617416918on_j_k ).
thf(tp_rObjec730108904t_unit,type,
rObjec730108904t_unit: product_unit > product_unit > rObjec103300152t_unit ).
thf(tp_sK100_SY1484,type,
sK100_SY1484: list_char > list_char > ( list_char > list_char > $o ) > char ).
thf(tp_sK101_SY1343,type,
sK101_SY1343: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK102_SY1343,type,
sK102_SY1343: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK103_SY1085,type,
sK103_SY1085: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK104_SY1652,type,
sK104_SY1652: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK105_SY1653,type,
sK105_SY1653: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK106_SY1107,type,
sK106_SY1107: list_char > ( list_char > $o ) > char ).
thf(tp_sK107_SY1655,type,
sK107_SY1655: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK108_SY1658,type,
sK108_SY1658: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK109_SY1659,type,
sK109_SY1659: ( char > char > $o ) > list_char > ( ( char > char > $o ) > list_char > $o ) > list_char ).
thf(tp_sK10_SY1008,type,
sK10_SY1008: rDocum326988203on_j_k > ( rDocum326988203on_j_k > $o ) > product_unit ).
thf(tp_sK110_SY1660,type,
sK110_SY1660: ( list_char > $o ) > list_char > char ).
thf(tp_sK111_SY1662,type,
sK111_SY1662: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK112_SY1160,type,
sK112_SY1160: list_char > ( list_char > $o ) > char ).
thf(tp_sK113_SY1663,type,
sK113_SY1663: list_l118626078tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK114_SY820,type,
sK114_SY820: list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK115_SY1665,type,
sK115_SY1665: list_char > ( list_char > $o ) > char ).
thf(tp_sK116_SY1181,type,
sK116_SY1181: ( option2026120038on_j_k > $o ) > sum_su1221287958on_j_k ).
thf(tp_sK117_SY831,type,
sK117_SY831: option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK118_SY1667,type,
sK118_SY1667: list_char > char ).
thf(tp_sK119_SY1669,type,
sK119_SY1669: ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK11_SY690,type,
sK11_SY690: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK120_SY1671,type,
sK120_SY1671: list_list_char > list_char ).
thf(tp_sK121_SY1255,type,
sK121_SY1255: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK122_SY1258,type,
sK122_SY1258: ( option_element_ptr_a > $o ) > element_ptr_a ).
thf(tp_sK123_SY950,type,
sK123_SY950: list_char > char ).
thf(tp_sK124_SY965,type,
sK124_SY965: option_element_ptr_a > element_ptr_a ).
thf(tp_sK125_SY1673,type,
sK125_SY1673: list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK126_SY1675,type,
sK126_SY1675: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK127_SY1491,type,
sK127_SY1491: list_char > list_char > list_char > char ).
thf(tp_sK128_SY1491,type,
sK128_SY1491: list_char > list_char > list_char > char ).
thf(tp_sK129_SY1678,type,
sK129_SY1678: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK12_SY701,type,
sK12_SY701: list_n282880152tr_b_c > ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).
thf(tp_sK130_SY1679,type,
sK130_SY1679: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK131_SY665,type,
sK131_SY665: list_char > list_char > ( list_char > list_char > $o ) > char ).
thf(tp_sK132_SY675,type,
sK132_SY675: list_n282880152tr_b_c > list_char > ( list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK133_SY1680,type,
sK133_SY1680: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK134_SY1681,type,
sK134_SY1681: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK135_SY1682,type,
sK135_SY1682: list_char > ( list_char > $o ) > list_char ).
thf(tp_sK136_SY1373,type,
sK136_SY1373: ( option2026120038on_j_k > option_element_ptr_a > $o ) > option_element_ptr_a > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK137_SY1683,type,
sK137_SY1683: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK138_SY1381,type,
sK138_SY1381: ( option_element_ptr_a > option2026120038on_j_k > $o ) > option2026120038on_j_k > option_element_ptr_a > element_ptr_a ).
thf(tp_sK139_SY760,type,
sK139_SY760: list_char > list_char > ( list_char > list_char > $o ) > char ).
thf(tp_sK13_SY712,type,
sK13_SY712: list_char > list_char ).
thf(tp_sK140_SY1685,type,
sK140_SY1685: ( list_char > $o ) > list_char > list_char ).
thf(tp_sK141_SY1686,type,
sK141_SY1686: list_char > ( list_char > $o ) > list_char ).
thf(tp_sK142_SY1414,type,
sK142_SY1414: ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK143_SY1687,type,
sK143_SY1687: list_l118626078tr_b_c > list_l118626078tr_b_c ).
thf(tp_sK144_SY1689,type,
sK144_SY1689: list_char > ( list_char > $o ) > list_char ).
thf(tp_sK145_SY1690,type,
sK145_SY1690: list_char > list_char ).
thf(tp_sK146_SY854,type,
sK146_SY854: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK147_SY862,type,
sK147_SY862: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK148_SY1208,type,
sK148_SY1208: ( option2026120038on_j_k > $o ) > option2026120038on_j_k ).
thf(tp_sK149_SY1691,type,
sK149_SY1691: ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK14_SY739,type,
sK14_SY739: list_n282880152tr_b_c > ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).
thf(tp_sK150_SY1692,type,
sK150_SY1692: list_list_char > list_list_char ).
thf(tp_sK151_SY1221,type,
sK151_SY1221: ( option_element_ptr_a > $o ) > option_element_ptr_a ).
thf(tp_sK152_SY1693,type,
sK152_SY1693: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK153_SY1464,type,
sK153_SY1464: ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > option_element_ptr_a > element_ptr_a ).
thf(tp_sK154_SY1695,type,
sK154_SY1695: list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK155_SY982,type,
sK155_SY982: list_char > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_char > $o ) > char ).
thf(tp_sK156_SY1696,type,
sK156_SY1696: ( list_char > list_char > $o ) > list_char > list_char > char ).
thf(tp_sK157_SY1698,type,
sK157_SY1698: list_char > list_char > list_char > list_char ).
thf(tp_sK158_SY1699,type,
sK158_SY1699: list_char > list_char > list_char > list_char ).
thf(tp_sK159_SY1700,type,
sK159_SY1700: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK15_SY746,type,
sK15_SY746: list_char > ( char > char > $o ) > ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).
thf(tp_sK160_SY1701,type,
sK160_SY1701: list_char > list_n282880152tr_b_c > ( list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK161_SY704,type,
sK161_SY704: list_n282880152tr_b_c > ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).
thf(tp_sK162_SY1373,type,
sK162_SY1373: ( option2026120038on_j_k > option_element_ptr_a > $o ) > option_element_ptr_a > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK163_SY1373,type,
sK163_SY1373: ( option2026120038on_j_k > option_element_ptr_a > $o ) > option_element_ptr_a > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK164_SY1702,type,
sK164_SY1702: option_element_ptr_a > ( option2026120038on_j_k > option_element_ptr_a > $o ) > option2026120038on_j_k > element_ptr_a ).
thf(tp_sK165_SY1703,type,
sK165_SY1703: ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK166_SY1381,type,
sK166_SY1381: ( option_element_ptr_a > option2026120038on_j_k > $o ) > option2026120038on_j_k > option_element_ptr_a > element_ptr_a ).
thf(tp_sK167_SY1381,type,
sK167_SY1381: ( option_element_ptr_a > option2026120038on_j_k > $o ) > option2026120038on_j_k > option_element_ptr_a > element_ptr_a ).
thf(tp_sK168_SY1704,type,
sK168_SY1704: option2026120038on_j_k > ( option_element_ptr_a > option2026120038on_j_k > $o ) > option_element_ptr_a > sum_su1221287958on_j_k ).
thf(tp_sK169_SY1705,type,
sK169_SY1705: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK16_SY1568,type,
sK16_SY1568: rObjec1617416918on_j_k > option_element_ptr_a ).
thf(tp_sK170_SY1404,type,
sK170_SY1404: ( element_ptr_a > option2026120038on_j_k ) > ( option2026120038on_j_k > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK171_SY1414,type,
sK171_SY1414: ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK172_SY1414,type,
sK172_SY1414: ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK173_SY1708,type,
sK173_SY1708: option2026120038on_j_k > ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK174_SY1416,type,
sK174_SY1416: ( sum_su1221287958on_j_k > option_element_ptr_a ) > ( option_element_ptr_a > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK175_SY831,type,
sK175_SY831: sum_su1221287958on_j_k > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK176_SY1524,type,
sK176_SY1524: list_char > list_char > list_char > ( list_char > list_char > list_char > $o ) > char ).
thf(tp_sK177_SY1709,type,
sK177_SY1709: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK178_SY1712,type,
sK178_SY1712: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK179_SY1209,type,
sK179_SY1209: ( option2026120038on_j_k > $o ) > sum_su1221287958on_j_k ).
thf(tp_sK17_SY758,type,
sK17_SY758: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK180_SY1222,type,
sK180_SY1222: ( option_element_ptr_a > $o ) > element_ptr_a ).
thf(tp_sK181_SY1530,type,
sK181_SY1530: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK182_SY1463,type,
sK182_SY1463: ( sum_su1221287958on_j_k > option2026120038on_j_k ) > ( option2026120038on_j_k > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK183_SY1464,type,
sK183_SY1464: ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > option_element_ptr_a > element_ptr_a ).
thf(tp_sK184_SY1464,type,
sK184_SY1464: ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > option_element_ptr_a > element_ptr_a ).
thf(tp_sK185_SY1713,type,
sK185_SY1713: option_element_ptr_a > ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK186_SY1466,type,
sK186_SY1466: ( element_ptr_a > option_element_ptr_a ) > ( option_element_ptr_a > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK187_SY961,type,
sK187_SY961: list_char > ( char > char > $o ) > ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).
thf(tp_sK188_SY965,type,
sK188_SY965: element_ptr_a > option_element_ptr_a > element_ptr_a ).
thf(tp_sK189_SY1714,type,
sK189_SY1714: list_n282880152tr_b_c > list_char > ( list_n282880152tr_b_c > list_char > $o ) > list_char ).
thf(tp_sK18_SY772,type,
sK18_SY772: list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK190_SY1715,type,
sK190_SY1715: ( list_char > list_char > $o ) > list_char > list_char > list_char ).
thf(tp_sK191_SY1716,type,
sK191_SY1716: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK192_SY1373,type,
sK192_SY1373: ( option2026120038on_j_k > option_element_ptr_a > $o ) > option_element_ptr_a > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK193_SY1719,type,
sK193_SY1719: option_element_ptr_a > ( option2026120038on_j_k > option_element_ptr_a > $o ) > option2026120038on_j_k > element_ptr_a ).
thf(tp_sK194_SY1720,type,
sK194_SY1720: option_element_ptr_a > ( option2026120038on_j_k > option_element_ptr_a > $o ) > option2026120038on_j_k > element_ptr_a ).
thf(tp_sK195_SY1379,type,
sK195_SY1379: ( element_ptr_a > option2026120038on_j_k ) > ( option2026120038on_j_k > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK196_SY1380,type,
sK196_SY1380: ( sum_su1221287958on_j_k > option_element_ptr_a ) > ( option_element_ptr_a > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK197_SY1381,type,
sK197_SY1381: ( option_element_ptr_a > option2026120038on_j_k > $o ) > option2026120038on_j_k > option_element_ptr_a > element_ptr_a ).
thf(tp_sK198_SY1721,type,
sK198_SY1721: option2026120038on_j_k > ( option_element_ptr_a > option2026120038on_j_k > $o ) > option_element_ptr_a > sum_su1221287958on_j_k ).
thf(tp_sK199_SY1722,type,
sK199_SY1722: option2026120038on_j_k > ( option_element_ptr_a > option2026120038on_j_k > $o ) > option_element_ptr_a > sum_su1221287958on_j_k ).
thf(tp_sK19_SY785,type,
sK19_SY785: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK1_SY750,type,
sK1_SY750: rObjec1617416918on_j_k > product_unit ).
thf(tp_sK200_SY1723,type,
sK200_SY1723: list_char > list_char > ( list_char > list_char > $o ) > char ).
thf(tp_sK201_SY1403,type,
sK201_SY1403: ( element_ptr_a > option_element_ptr_a ) > ( option_element_ptr_a > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK202_SY1404,type,
sK202_SY1404: ( element_ptr_a > option2026120038on_j_k ) > ( option2026120038on_j_k > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK203_SY1414,type,
sK203_SY1414: ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK204_SY1725,type,
sK204_SY1725: option2026120038on_j_k > ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK205_SY1726,type,
sK205_SY1726: option2026120038on_j_k > ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK206_SY1416,type,
sK206_SY1416: ( sum_su1221287958on_j_k > option_element_ptr_a ) > ( option_element_ptr_a > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK207_SY1688,type,
sK207_SY1688: list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK208_SY1727,type,
sK208_SY1727: list_char > list_char > list_char > ( list_char > list_char > list_char > $o ) > list_char ).
thf(tp_sK209_SY1732,type,
sK209_SY1732: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK20_SY792,type,
sK20_SY792: option_element_ptr_a > element_ptr_a ).
thf(tp_sK210_SY1208,type,
sK210_SY1208: option2026120038on_j_k > ( option2026120038on_j_k > $o ) > option2026120038on_j_k ).
thf(tp_sK211_SY1221,type,
sK211_SY1221: option_element_ptr_a > ( option_element_ptr_a > $o ) > option_element_ptr_a ).
thf(tp_sK212_SY1734,type,
sK212_SY1734: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK213_SY1463,type,
sK213_SY1463: ( sum_su1221287958on_j_k > option2026120038on_j_k ) > ( option2026120038on_j_k > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK214_SY1464,type,
sK214_SY1464: ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > option_element_ptr_a > element_ptr_a ).
thf(tp_sK215_SY1739,type,
sK215_SY1739: option_element_ptr_a > ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK216_SY1740,type,
sK216_SY1740: option_element_ptr_a > ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK217_SY1466,type,
sK217_SY1466: ( element_ptr_a > option_element_ptr_a ) > ( option_element_ptr_a > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK218_SY1694,type,
sK218_SY1694: list_char > list_char ).
thf(tp_sK219_SY1741,type,
sK219_SY1741: ( char > char > $o ) > list_char > ( ( char > char > $o ) > list_char > $o ) > char ).
thf(tp_sK21_SY1571,type,
sK21_SY1571: rObjec1617416918on_j_k > ( rObjec1617416918on_j_k > $o ) > rDocum326988203on_j_k ).
thf(tp_sK220_SY1488,type,
sK220_SY1488: ( sum_su1221287958on_j_k > option2026120038on_j_k ) > ( option2026120038on_j_k > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK221_SY1744,type,
sK221_SY1744: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK222_SY1746,type,
sK222_SY1746: option_element_ptr_a > ( option2026120038on_j_k > option_element_ptr_a > $o ) > option2026120038on_j_k > element_ptr_a ).
thf(tp_sK223_SY1379,type,
sK223_SY1379: ( element_ptr_a > option2026120038on_j_k ) > ( option2026120038on_j_k > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK224_SY1380,type,
sK224_SY1380: ( sum_su1221287958on_j_k > option_element_ptr_a ) > ( option_element_ptr_a > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK225_SY1747,type,
sK225_SY1747: option2026120038on_j_k > ( option_element_ptr_a > option2026120038on_j_k > $o ) > option_element_ptr_a > sum_su1221287958on_j_k ).
thf(tp_sK226_SY1748,type,
sK226_SY1748: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK227_SY1403,type,
sK227_SY1403: ( element_ptr_a > option_element_ptr_a ) > ( option_element_ptr_a > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK228_SY1749,type,
sK228_SY1749: option2026120038on_j_k > ( option2026120038on_j_k > option2026120038on_j_k > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK229_SY1750,type,
sK229_SY1750: ( list_char > list_char > list_char > $o ) > list_char > list_char > list_char > char ).
thf(tp_sK22_SY848,type,
sK22_SY848: list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK230_SY1754,type,
sK230_SY1754: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK231_SY1209,type,
sK231_SY1209: option2026120038on_j_k > ( option2026120038on_j_k > $o ) > sum_su1221287958on_j_k ).
thf(tp_sK232_SY1208,type,
sK232_SY1208: sum_su1221287958on_j_k > ( option2026120038on_j_k > $o ) > option2026120038on_j_k ).
thf(tp_sK233_SY1222,type,
sK233_SY1222: option_element_ptr_a > ( option_element_ptr_a > $o ) > element_ptr_a ).
thf(tp_sK234_SY1221,type,
sK234_SY1221: element_ptr_a > ( option_element_ptr_a > $o ) > option_element_ptr_a ).
thf(tp_sK235_SY1755,type,
sK235_SY1755: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK236_SY1759,type,
sK236_SY1759: option_element_ptr_a > ( option_element_ptr_a > option_element_ptr_a > $o ) > option_element_ptr_a > element_ptr_a ).
thf(tp_sK237_SY1760,type,
sK237_SY1760: ( char > char > $o ) > list_char > ( ( char > char > $o ) > list_char > $o ) > char ).
thf(tp_sK238_SY1488,type,
sK238_SY1488: ( sum_su1221287958on_j_k > option2026120038on_j_k ) > ( option2026120038on_j_k > $o ) > option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK239_SY667,type,
sK239_SY667: list_char > list_char > ( list_char > list_char > $o ) > char ).
thf(tp_sK23_SY852,type,
sK23_SY852: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK240_SY677,type,
sK240_SY677: list_n282880152tr_b_c > list_char > ( list_char > list_n282880152tr_b_c > $o ) > char ).
thf(tp_sK241_SY1762,type,
sK241_SY1762: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK242_SY820,type,
sK242_SY820: list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK243_SY1763,type,
sK243_SY1763: ( list_char > list_char > list_char > $o ) > list_char > list_char > list_char > list_char ).
thf(tp_sK244_SY864,type,
sK244_SY864: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK245_SY1209,type,
sK245_SY1209: sum_su1221287958on_j_k > ( option2026120038on_j_k > $o ) > sum_su1221287958on_j_k ).
thf(tp_sK246_SY1222,type,
sK246_SY1222: element_ptr_a > ( option_element_ptr_a > $o ) > element_ptr_a ).
thf(tp_sK247_SY1766,type,
sK247_SY1766: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK248_SY1577,type,
sK248_SY1577: list_char > list_char > list_char > list_char > ( list_char > list_char > list_char > list_char > $o ) > char ).
thf(tp_sK249_SY950,type,
sK249_SY950: list_char > char > list_char > char ).
thf(tp_sK24_SY1572,type,
sK24_SY1572: rObjec1617416918on_j_k > ( rObjec1617416918on_j_k > $o ) > product_unit ).
thf(tp_sK250_SY1769,type,
sK250_SY1769: ( char > char > $o ) > list_char > ( ( char > char > $o ) > list_char > $o ) > list_char ).
thf(tp_sK251_SY984,type,
sK251_SY984: list_char > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK252_SY1770,type,
sK252_SY1770: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK253_SY1773,type,
sK253_SY1773: list_char > list_n282880152tr_b_c > ( list_char > list_n282880152tr_b_c > $o ) > list_char ).
thf(tp_sK254_SY1522,type,
sK254_SY1522: list_char > list_char > list_char > char > list_char ).
thf(tp_sK255_SY1522,type,
sK255_SY1522: list_char > list_char > list_char > char > list_char ).
thf(tp_sK256_SY1523,type,
sK256_SY1523: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK257_SY1523,type,
sK257_SY1523: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK258_SY1777,type,
sK258_SY1777: ( list_char > list_char > list_char > $o ) > list_char > list_char > list_char > char ).
thf(tp_sK259_SY1779,type,
sK259_SY1779: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK25_SY936,type,
sK25_SY936: option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK260_SY1782,type,
sK260_SY1782: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK261_SY1784,type,
sK261_SY1784: list_char > list_char > list_char > list_char > ( list_char > list_char > list_char > list_char > $o ) > list_char ).
thf(tp_sK262_SY1551,type,
sK262_SY1551: list_char > list_char > char > list_char > list_char ).
thf(tp_sK263_SY1551,type,
sK263_SY1551: list_char > list_char > char > list_char > list_char ).
thf(tp_sK264_SY1792,type,
sK264_SY1792: list_n282880152tr_b_c > list_char > ( list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).
thf(tp_sK265_SY1552,type,
sK265_SY1552: list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK266_SY1552,type,
sK266_SY1552: list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK267_SY1795,type,
sK267_SY1795: list_char > list_char > ( list_char > list_char > $o ) > char ).
thf(tp_sK268_SY1797,type,
sK268_SY1797: list_n282880152tr_b_c > list_char > ( list_char > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK269_SY1799,type,
sK269_SY1799: ( list_char > list_char > list_char > $o ) > list_char > list_char > list_char > list_char ).
thf(tp_sK26_SY958,type,
sK26_SY958: list_char > ( char > char > $o ) > ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).
thf(tp_sK270_SY1800,type,
sK270_SY1800: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK271_SY1802,type,
sK271_SY1802: ( list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK272_SY1803,type,
sK272_SY1803: ( list_char > list_char > list_char > list_char > $o ) > list_char > list_char > list_char > list_char > char ).
thf(tp_sK273_SY1809,type,
sK273_SY1809: list_char > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_char > $o ) > char ).
thf(tp_sK274_SY1811,type,
sK274_SY1811: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK275_SY1812,type,
sK275_SY1812: list_n282880152tr_b_c > list_char > ( list_char > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK276_SY1776,type,
sK276_SY1776: node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK277_SY1813,type,
sK277_SY1813: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK278_SY1814,type,
sK278_SY1814: ( list_char > list_char > list_char > list_char > $o ) > list_char > list_char > list_char > list_char > list_char ).
thf(tp_sK279_SY1791,type,
sK279_SY1791: char > list_char > list_char > list_char ).
thf(tp_sK27_SY994,type,
sK27_SY994: option_element_ptr_a > element_ptr_a ).
thf(tp_sK280_SY1819,type,
sK280_SY1819: list_char > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_char > $o ) > list_char ).
thf(tp_sK281_SY1820,type,
sK281_SY1820: ( list_char > list_char > list_char > list_char > $o ) > list_char > list_char > list_char > list_char > char ).
thf(tp_sK282_SY1824,type,
sK282_SY1824: ( list_char > list_char > list_char > list_char > $o ) > list_char > list_char > list_char > list_char > list_char ).
thf(tp_sK283_SY1522,type,
sK283_SY1522: list_char > list_char > list_char > char > list_char ).
thf(tp_sK284_SY1522,type,
sK284_SY1522: list_char > list_char > list_char > char > list_char ).
thf(tp_sK285_SY1523,type,
sK285_SY1523: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK286_SY1523,type,
sK286_SY1523: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK287_SY1827,type,
sK287_SY1827: ( list_char > list_char > list_char > list_char > $o ) > list_char > list_char > list_char > list_char > char ).
thf(tp_sK288_SY1551,type,
sK288_SY1551: list_char > list_char > char > list_char > list_char ).
thf(tp_sK289_SY1551,type,
sK289_SY1551: list_char > list_char > char > list_char > list_char ).
thf(tp_sK28_SY1006,type,
sK28_SY1006: option2026120038on_j_k > sum_su1221287958on_j_k ).
thf(tp_sK290_SY1552,type,
sK290_SY1552: list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK291_SY1552,type,
sK291_SY1552: list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK292_SY1829,type,
sK292_SY1829: ( list_char > list_char > list_char > list_char > $o ) > list_char > list_char > list_char > list_char > list_char ).
thf(tp_sK293_SY1522,type,
sK293_SY1522: list_char > list_char > list_char > list_char > char > list_char ).
thf(tp_sK294_SY1522,type,
sK294_SY1522: list_char > list_char > list_char > list_char > char > list_char ).
thf(tp_sK295_SY1523,type,
sK295_SY1523: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK296_SY1523,type,
sK296_SY1523: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK297_SY1551,type,
sK297_SY1551: list_char > list_char > list_char > char > list_char > list_char ).
thf(tp_sK298_SY1551,type,
sK298_SY1551: list_char > list_char > list_char > char > list_char > list_char ).
thf(tp_sK299_SY1552,type,
sK299_SY1552: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK29_SY1590,type,
sK29_SY1590: rDocum326988203on_j_k > ( rDocum326988203on_j_k > $o ) > list_char ).
thf(tp_sK2_SY770,type,
sK2_SY770: rObjec1617416918on_j_k > product_unit ).
thf(tp_sK300_SY1552,type,
sK300_SY1552: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > node_p1234578834tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK30_SY1015,type,
sK30_SY1015: list_char > char ).
thf(tp_sK31_SY695,type,
sK31_SY695: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK32_SY1599,type,
sK32_SY1599: list_char > char ).
thf(tp_sK33_SY728,type,
sK33_SY728: list_char > ( list_char > $o ) > char ).
thf(tp_sK34_SY1600,type,
sK34_SY1600: rObjec1617416918on_j_k > list_n282880152tr_b_c ).
thf(tp_sK35_SY765,type,
sK35_SY765: list_char > ( list_char > $o ) > char ).
thf(tp_sK36_SY1602,type,
sK36_SY1602: list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_sK37_SY803,type,
sK37_SY803: list_char > ( list_char > $o ) > char ).
thf(tp_sK38_SY816,type,
sK38_SY816: list_l118626078tr_b_c > list_l118626078tr_b_c ).
thf(tp_sK39_SY823,type,
sK39_SY823: list_char > ( list_char > $o ) > char ).
thf(tp_sK3_SY791,type,
sK3_SY791: rObjec103300152t_unit > product_unit ).
thf(tp_sK40_SY1180,type,
sK40_SY1180: ( option2026120038on_j_k > $o ) > option2026120038on_j_k ).
thf(tp_sK41_SY844,type,
sK41_SY844: list_char > char ).
thf(tp_sK42_SY1603,type,
sK42_SY1603: list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK43_SY1604,type,
sK43_SY1604: rObjec1617416918on_j_k > ( rObjec1617416918on_j_k > $o ) > list_char ).
thf(tp_sK44_SY882,type,
sK44_SY882: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK45_SY886,type,
sK45_SY886: list_list_char > list_list_char ).
thf(tp_sK46_SY1257,type,
sK46_SY1257: ( option_element_ptr_a > $o ) > option_element_ptr_a ).
thf(tp_sK47_SY945,type,
sK47_SY945: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK48_SY967,type,
sK48_SY967: option2026120038on_j_k > ( option2026120038on_j_k > $o ) > sum_su1221287958on_j_k ).
thf(tp_sK49_SY969,type,
sK49_SY969: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK4_SY1391,type,
sK4_SY1391: rObjec1617416918on_j_k > product_unit ).
thf(tp_sK50_SY972,type,
sK50_SY972: list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK51_SY977,type,
sK51_SY977: option_element_ptr_a > ( option_element_ptr_a > $o ) > element_ptr_a ).
thf(tp_sK52_SY1612,type,
sK52_SY1612: rDocum326988203on_j_k > ( rDocum326988203on_j_k > $o ) > option_element_ptr_a ).
thf(tp_sK53_SY1615,type,
sK53_SY1615: list_char > list_char ).
thf(tp_sK54_SY663,type,
sK54_SY663: list_char > list_char > ( list_char > list_char > $o ) > char ).
thf(tp_sK55_SY673,type,
sK55_SY673: list_n282880152tr_b_c > list_char > ( list_char > list_n282880152tr_b_c > $o ) > char ).
thf(tp_sK56_SY1084,type,
sK56_SY1084: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK57_SY1106,type,
sK57_SY1106: list_char > ( list_char > $o ) > char ).
thf(tp_sK58_SY1616,type,
sK58_SY1616: list_char > ( list_char > $o ) > list_char ).
thf(tp_sK59_SY743,type,
sK59_SY743: rObjec1413572695_j_k_l > rObjec1617416918on_j_k ).
thf(tp_sK5_SY1402,type,
sK5_SY1402: rObjec1617416918on_j_k > rDocum326988203on_j_k ).
thf(tp_sK60_SY1617,type,
sK60_SY1617: rObjec1617416918on_j_k > option2026120038on_j_k ).
thf(tp_sK61_SY1159,type,
sK61_SY1159: list_char > ( list_char > $o ) > char ).
thf(tp_sK62_SY1618,type,
sK62_SY1618: list_char > ( list_char > $o ) > list_char ).
thf(tp_sK63_SY860,type,
sK63_SY860: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK64_SY1620,type,
sK64_SY1620: rObjec1617416918on_j_k > ( rObjec1617416918on_j_k > $o ) > option_element_ptr_a ).
thf(tp_sK65_SY1254,type,
sK65_SY1254: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK66_SY1626,type,
sK66_SY1626: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK67_SY1628,type,
sK67_SY1628: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK68_SY980,type,
sK68_SY980: list_char > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_char > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK69_SY1629,type,
sK69_SY1629: rDocum326988203on_j_k > ( rDocum326988203on_j_k > $o ) > list_n282880152tr_b_c ).
thf(tp_sK6_SY1518,type,
sK6_SY1518: rObjec1617416918on_j_k > list_char ).
thf(tp_sK70_SY1631,type,
sK70_SY1631: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK71_SY1632,type,
sK71_SY1632: list_char > list_n282880152tr_b_c > ( list_char > list_n282880152tr_b_c > $o ) > list_char ).
thf(tp_sK72_SY691,type,
sK72_SY691: list_char > list_char > ( list_char > list_char > $o ) > char ).
thf(tp_sK73_SY702,type,
sK73_SY702: list_n282880152tr_b_c > ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).
thf(tp_sK74_SY740,type,
sK74_SY740: list_n282880152tr_b_c > ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ).
thf(tp_sK75_SY747,type,
sK75_SY747: list_char > ( char > char > $o ) > ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).
thf(tp_sK76_SY759,type,
sK76_SY759: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK77_SY786,type,
sK77_SY786: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK78_SY853,type,
sK78_SY853: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK79_SY1633,type,
sK79_SY1633: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK7_SY790,type,
sK7_SY790: rObjec103300152t_unit > ( rObjec103300152t_unit > $o ) > product_unit ).
thf(tp_sK80_SY1634,type,
sK80_SY1634: rObjec1617416918on_j_k > ( rObjec1617416918on_j_k > $o ) > list_n282880152tr_b_c ).
thf(tp_sK81_SY959,type,
sK81_SY959: list_char > ( char > char > $o ) > ( ( char > char > $o ) > list_char > $o ) > char > char > $o ).
thf(tp_sK82_SY1638,type,
sK82_SY1638: list_n282880152tr_b_c > list_char > ( list_n282880152tr_b_c > list_char > $o ) > list_n282880152tr_b_c ).
thf(tp_sK83_SY1639,type,
sK83_SY1639: rDocum326988203on_j_k > ( rDocum326988203on_j_k > $o ) > option2026120038on_j_k ).
thf(tp_sK84_SY1640,type,
sK84_SY1640: list_char > list_char > ( list_char > list_char > $o ) > list_char ).
thf(tp_sK85_SY696,type,
sK85_SY696: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK86_SY1642,type,
sK86_SY1642: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK87_SY1375,type,
sK87_SY1375: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK88_SY1643,type,
sK88_SY1643: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > ( ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK89_SY1645,type,
sK89_SY1645: ( char > char > $o ) > list_char > ( ( char > char > $o ) > list_char > $o ) > char ).
thf(tp_sK8_SY842,type,
sK8_SY842: rObjec1617416918on_j_k > ( rObjec1617416918on_j_k > $o ) > product_unit ).
thf(tp_sK90_SY766,type,
sK90_SY766: list_char > ( list_char > $o ) > char ).
thf(tp_sK91_SY1647,type,
sK91_SY1647: list_n282880152tr_b_c > list_n282880152tr_b_c > ( list_n282880152tr_b_c > list_n282880152tr_b_c > $o ) > list_n282880152tr_b_c ).
thf(tp_sK92_SY817,type,
sK92_SY817: list_l118626078tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK93_SY824,type,
sK93_SY824: list_char > ( list_char > $o ) > char ).
thf(tp_sK94_SY845,type,
sK94_SY845: list_char > char ).
thf(tp_sK95_SY1649,type,
sK95_SY1649: rObjec1617416918on_j_k > ( rObjec1617416918on_j_k > $o ) > option2026120038on_j_k ).
thf(tp_sK96_SY883,type,
sK96_SY883: list_n282880152tr_b_c > ( list_n282880152tr_b_c > $o ) > node_p1234578834tr_b_c ).
thf(tp_sK97_SY887,type,
sK97_SY887: list_list_char > char ).
thf(tp_sK98_SY1651,type,
sK98_SY1651: ( char > char > $o ) > list_char > ( ( char > char > $o ) > list_char > $o ) > char ).
thf(tp_sK99_SY973,type,
sK99_SY973: list_n282880152tr_b_c > node_p1234578834tr_b_c ).
thf(tp_sK9_SY871,type,
sK9_SY871: rObjec1617416918on_j_k > ( rObjec1617416918on_j_k > $o ) > product_unit ).
thf(tp_size_o1591053974_ptr_a,type,
size_o1591053974_ptr_a: ( element_ptr_a > nat ) > option_element_ptr_a > nat ).
thf(tp_size_o1635055885tr_d_e,type,
size_o1635055885tr_d_e: ( docume1935157360tr_d_e > nat ) > option1330818496tr_d_e > nat ).
thf(tp_size_o1777465779on_j_k,type,
size_o1777465779on_j_k: ( sum_su1221287958on_j_k > nat ) > option2026120038on_j_k > nat ).
thf(tp_size_o26122489on_j_k,type,
size_o26122489on_j_k: ( rObjec1617416918on_j_k > nat ) > option841825948on_j_k > nat ).
thf(tp_size_o310046708_j_k_l,type,
size_o310046708_j_k_l: ( rObjec1413572695_j_k_l > nat ) > option1749760295_j_k_l > nat ).
thf(tp_size_s1129069050on_j_k,type,
size_s1129069050on_j_k: option2026120038on_j_k > nat ).
thf(tp_size_s1129684517_ptr_a,type,
size_s1129684517_ptr_a: option_element_ptr_a > nat ).
thf(tp_size_s2008079621t_char,type,
size_s2008079621t_char: list_list_char > nat ).
thf(tp_size_s2106487044tr_b_c,type,
size_s2106487044tr_b_c: list_n282880152tr_b_c > nat ).
thf(tp_size_s724035844tr_d_e,type,
size_s724035844tr_d_e: docume1935157360tr_d_e > nat ).
thf(tp_size_s7667464on_j_k,type,
size_s7667464on_j_k: option841825948on_j_k > nat ).
thf(tp_size_s9369994tr_b_c,type,
size_s9369994tr_b_c: list_l118626078tr_b_c > nat ).
thf(tp_size_size_list_char,type,
size_size_list_char: list_char > nat ).
thf(tp_some_R1598191922_j_k_l,type,
some_R1598191922_j_k_l: rObjec1413572695_j_k_l > option1749760295_j_k_l ).
thf(tp_some_R67702331on_j_k,type,
some_R67702331on_j_k: rObjec1617416918on_j_k > option841825948on_j_k ).
thf(tp_some_S1960742641on_j_k,type,
some_S1960742641on_j_k: sum_su1221287958on_j_k > option2026120038on_j_k ).
thf(tp_some_d1631029323tr_d_e,type,
some_d1631029323tr_d_e: docume1935157360tr_d_e > option1330818496tr_d_e ).
thf(tp_some_element_ptr_a,type,
some_element_ptr_a: element_ptr_a > option_element_ptr_a ).
thf(tp_splice1294941035tr_b_c,type,
splice1294941035tr_b_c: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c ).
thf(tp_splice_char,type,
splice_char: list_char > list_char > list_char ).
thf(tp_subseq1828679783tr_b_c,type,
subseq1828679783tr_b_c: list_n282880152tr_b_c > list_l118626078tr_b_c ).
thf(tp_subseqs_char,type,
subseqs_char: list_char > list_list_char ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_type_w92696601_j_k_l,type,
type_w92696601_j_k_l: heap_S1465075775_j_k_l > $o ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(1,axiom,
! [A: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ nil_no279930520tr_b_c @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_338_append_Oleft__neutral) ).
thf(2,axiom,
! [A: list_char] :
( ( append_char @ nil_char @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_337_append_Oleft__neutral) ).
thf(3,axiom,
! [Ys: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ nil_no279930520tr_b_c @ Ys )
= Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_336_append__Nil) ).
thf(4,axiom,
! [Ys: list_char] :
( ( append_char @ nil_char @ Ys )
= Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_335_append__Nil) ).
thf(5,axiom,
! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( Xs = Ys )
=> ( Xs
= ( append846395565tr_b_c @ nil_no279930520tr_b_c @ Ys ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_334_eq__Nil__appendI) ).
thf(6,axiom,
! [Xs: list_char,Ys: list_char] :
( ( Xs = Ys )
=> ( Xs
= ( append_char @ nil_char @ Ys ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_333_eq__Nil__appendI) ).
thf(7,axiom,
! [Xs: list_n282880152tr_b_c,P: list_n282880152tr_b_c > $o] :
( ( Xs != nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( Xs2 != nil_no279930520tr_b_c )
=> ( ( P @ Xs2 )
=> ( P @ ( append846395565tr_b_c @ Xs2 @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) ) ) ) )
=> ( P @ Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_332_rev__nonempty__induct) ).
thf(8,axiom,
! [Xs: list_char,P: list_char > $o] :
( ( Xs != nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Xs2: list_char] :
( ( Xs2 != nil_char )
=> ( ( P @ Xs2 )
=> ( P @ ( append_char @ Xs2 @ ( cons_char @ X3 @ nil_char ) ) ) ) )
=> ( P @ Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_331_rev__nonempty__induct) ).
thf(9,axiom,
! [Ys: list_n282880152tr_b_c,Zs2: list_n282880152tr_b_c,X: node_p1234578834tr_b_c,Xs: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Ys @ Zs2 )
= ( cons_n413985352tr_b_c @ X @ Xs ) )
= ( ( ( Ys = nil_no279930520tr_b_c )
& ( Zs2
= ( cons_n413985352tr_b_c @ X @ Xs ) ) )
| ? [Ys4: list_n282880152tr_b_c] :
( ( Ys
= ( cons_n413985352tr_b_c @ X @ Ys4 ) )
& ( ( append846395565tr_b_c @ Ys4 @ Zs2 )
= Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_330_append__eq__Cons__conv) ).
thf(10,axiom,
! [Ys: list_char,Zs2: list_char,X: char,Xs: list_char] :
( ( ( append_char @ Ys @ Zs2 )
= ( cons_char @ X @ Xs ) )
= ( ( ( Ys = nil_char )
& ( Zs2
= ( cons_char @ X @ Xs ) ) )
| ? [Ys4: list_char] :
( ( Ys
= ( cons_char @ X @ Ys4 ) )
& ( ( append_char @ Ys4 @ Zs2 )
= Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_329_append__eq__Cons__conv) ).
thf(11,axiom,
! [X: node_p1234578834tr_b_c,Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c,Zs2: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ X @ Xs )
= ( append846395565tr_b_c @ Ys @ Zs2 ) )
= ( ( ( Ys = nil_no279930520tr_b_c )
& ( ( cons_n413985352tr_b_c @ X @ Xs )
= Zs2 ) )
| ? [Ys4: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ X @ Ys4 )
= Ys )
& ( Xs
= ( append846395565tr_b_c @ Ys4 @ Zs2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_328_Cons__eq__append__conv) ).
thf(12,axiom,
! [X: char,Xs: list_char,Ys: list_char,Zs2: list_char] :
( ( ( cons_char @ X @ Xs )
= ( append_char @ Ys @ Zs2 ) )
= ( ( ( Ys = nil_char )
& ( ( cons_char @ X @ Xs )
= Zs2 ) )
| ? [Ys4: list_char] :
( ( ( cons_char @ X @ Ys4 )
= Ys )
& ( Xs
= ( append_char @ Ys4 @ Zs2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_Cons__eq__append__conv) ).
thf(13,axiom,
! [Xs: list_n282880152tr_b_c] :
( ( Xs != nil_no279930520tr_b_c )
=> ~ ! [Ys3: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c] :
( Xs
!= ( append846395565tr_b_c @ Ys3 @ ( cons_n413985352tr_b_c @ Y3 @ nil_no279930520tr_b_c ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_326_rev__exhaust) ).
thf(14,axiom,
! [Xs: list_char] :
( ( Xs != nil_char )
=> ~ ! [Ys3: list_char,Y3: char] :
( Xs
!= ( append_char @ Ys3 @ ( cons_char @ Y3 @ nil_char ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_325_rev__exhaust) ).
thf(15,axiom,
! [P: list_n282880152tr_b_c > $o,Xs: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( P @ Xs2 )
=> ( P @ ( append846395565tr_b_c @ Xs2 @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) ) ) )
=> ( P @ Xs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_rev__induct) ).
thf(16,axiom,
! [P: list_char > $o,Xs: list_char] :
( ( P @ nil_char )
=> ( ! [X3: char,Xs2: list_char] :
( ( P @ Xs2 )
=> ( P @ ( append_char @ Xs2 @ ( cons_char @ X3 @ nil_char ) ) ) )
=> ( P @ Xs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_323_rev__induct) ).
thf(17,axiom,
! [Xs: list_n282880152tr_b_c,X: node_p1234578834tr_b_c,Ys: list_n282880152tr_b_c,Y: node_p1234578834tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ ( cons_n413985352tr_b_c @ X @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ Ys @ ( cons_n413985352tr_b_c @ Y @ nil_no279930520tr_b_c ) ) )
= ( ( Xs = Ys )
& ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_322_append1__eq__conv) ).
thf(18,axiom,
! [Xs: list_char,X: char,Ys: list_char,Y: char] :
( ( ( append_char @ Xs @ ( cons_char @ X @ nil_char ) )
= ( append_char @ Ys @ ( cons_char @ Y @ nil_char ) ) )
= ( ( Xs = Ys )
& ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_321_append1__eq__conv) ).
thf(20,axiom,
! [A: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ A @ nil_no279930520tr_b_c )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_319_append_Oright__neutral) ).
thf(21,axiom,
! [A: list_char] :
( ( append_char @ A @ nil_char )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_318_append_Oright__neutral) ).
thf(22,axiom,
! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ Ys )
= nil_no279930520tr_b_c )
= ( ( Xs = nil_no279930520tr_b_c )
& ( Ys = nil_no279930520tr_b_c ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_317_append__is__Nil__conv) ).
thf(23,axiom,
! [Xs: list_char,Ys: list_char] :
( ( ( append_char @ Xs @ Ys )
= nil_char )
= ( ( Xs = nil_char )
& ( Ys = nil_char ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_316_append__is__Nil__conv) ).
thf(24,axiom,
! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ Xs @ Ys ) )
= ( ( Xs = nil_no279930520tr_b_c )
& ( Ys = nil_no279930520tr_b_c ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_315_Nil__is__append__conv) ).
thf(25,axiom,
! [Xs: list_char,Ys: list_char] :
( ( nil_char
= ( append_char @ Xs @ Ys ) )
= ( ( Xs = nil_char )
& ( Ys = nil_char ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_314_Nil__is__append__conv) ).
thf(26,axiom,
! [Ys: list_n282880152tr_b_c,Xs: list_n282880152tr_b_c] :
( ( Ys
= ( append846395565tr_b_c @ Xs @ Ys ) )
= ( Xs = nil_no279930520tr_b_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_313_self__append__conv2) ).
thf(27,axiom,
! [Ys: list_char,Xs: list_char] :
( ( Ys
= ( append_char @ Xs @ Ys ) )
= ( Xs = nil_char ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_312_self__append__conv2) ).
thf(28,axiom,
! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ Ys )
= Ys )
= ( Xs = nil_no279930520tr_b_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_311_append__self__conv2) ).
thf(29,axiom,
! [Xs: list_char,Ys: list_char] :
( ( ( append_char @ Xs @ Ys )
= Ys )
= ( Xs = nil_char ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_310_append__self__conv2) ).
thf(30,axiom,
! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( Xs
= ( append846395565tr_b_c @ Xs @ Ys ) )
= ( Ys = nil_no279930520tr_b_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_309_self__append__conv) ).
thf(31,axiom,
! [Xs: list_char,Ys: list_char] :
( ( Xs
= ( append_char @ Xs @ Ys ) )
= ( Ys = nil_char ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_self__append__conv) ).
thf(32,axiom,
! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ Ys )
= Xs )
= ( Ys = nil_no279930520tr_b_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_307_append__self__conv) ).
thf(33,axiom,
! [Xs: list_char,Ys: list_char] :
( ( ( append_char @ Xs @ Ys )
= Xs )
= ( Ys = nil_char ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_306_append__self__conv) ).
thf(34,axiom,
! [Xs: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ Xs @ nil_no279930520tr_b_c )
= Xs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_305_append__Nil2) ).
thf(35,axiom,
! [Xs: list_char] :
( ( append_char @ Xs @ nil_char )
= Xs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_304_append__Nil2) ).
thf(40,axiom,
! [F: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( bind_S607117548on_j_k @ none_S1393028981on_j_k @ F )
= none_S1393028981on_j_k ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_bind_Obind__lzero) ).
thf(41,axiom,
! [F: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( bind_S287509021_ptr_a @ none_S1393028981on_j_k @ F )
= none_element_ptr_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_bind_Obind__lzero) ).
thf(42,axiom,
! [F: element_ptr_a > option2026120038on_j_k] :
( ( bind_e1012152651on_j_k @ none_element_ptr_a @ F )
= none_S1393028981on_j_k ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_bind_Obind__lzero) ).
thf(43,axiom,
! [F: element_ptr_a > option_element_ptr_a] :
( ( bind_e22036734_ptr_a @ none_element_ptr_a @ F )
= none_element_ptr_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_bind_Obind__lzero) ).
thf(44,axiom,
! [P: option2026120038on_j_k > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( P @ ( bind_S607117548on_j_k @ M2 @ F ) )
= ( ( ( M2 = none_S1393028981on_j_k )
=> ( P @ none_S1393028981on_j_k ) )
& ! [V3: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_bind__split) ).
thf(45,axiom,
! [P: option_element_ptr_a > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( P @ ( bind_S287509021_ptr_a @ M2 @ F ) )
= ( ( ( M2 = none_S1393028981on_j_k )
=> ( P @ none_element_ptr_a ) )
& ! [V3: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_bind__split) ).
thf(46,axiom,
! [P: option2026120038on_j_k > $o,M2: option_element_ptr_a,F: element_ptr_a > option2026120038on_j_k] :
( ( P @ ( bind_e1012152651on_j_k @ M2 @ F ) )
= ( ( ( M2 = none_element_ptr_a )
=> ( P @ none_S1393028981on_j_k ) )
& ! [V3: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_293_bind__split) ).
thf(47,axiom,
! [P: option_element_ptr_a > $o,M2: option_element_ptr_a,F: element_ptr_a > option_element_ptr_a] :
( ( P @ ( bind_e22036734_ptr_a @ M2 @ F ) )
= ( ( ( M2 = none_element_ptr_a )
=> ( P @ none_element_ptr_a ) )
& ! [V3: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_292_bind__split) ).
thf(48,axiom,
! [P: option2026120038on_j_k > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( P @ ( bind_S607117548on_j_k @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_S1393028981on_j_k )
& ~ ( P @ none_S1393028981on_j_k ) )
| ? [X4: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_291_bind__split__asm) ).
thf(49,axiom,
! [P: option_element_ptr_a > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( P @ ( bind_S287509021_ptr_a @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_S1393028981on_j_k )
& ~ ( P @ none_element_ptr_a ) )
| ? [X4: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_bind__split__asm) ).
thf(50,axiom,
! [P: option2026120038on_j_k > $o,M2: option_element_ptr_a,F: element_ptr_a > option2026120038on_j_k] :
( ( P @ ( bind_e1012152651on_j_k @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_element_ptr_a )
& ~ ( P @ none_S1393028981on_j_k ) )
| ? [X4: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289_bind__split__asm) ).
thf(51,axiom,
! [P: option_element_ptr_a > $o,M2: option_element_ptr_a,F: element_ptr_a > option_element_ptr_a] :
( ( P @ ( bind_e22036734_ptr_a @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_element_ptr_a )
& ~ ( P @ none_element_ptr_a ) )
| ? [X4: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_bind__split__asm) ).
thf(52,axiom,
! [Xs: list_n282880152tr_b_c] :
( ( nths_n1256675478tr_b_c @ Xs @ bot_bot_set_nat )
= nil_no279930520tr_b_c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_nths__empty) ).
thf(53,axiom,
! [Xs: list_char] :
( ( nths_char @ Xs @ bot_bot_set_nat )
= nil_char ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_nths__empty) ).
thf(54,axiom,
! [A2: set_nat] :
( ( nths_n1256675478tr_b_c @ nil_no279930520tr_b_c @ A2 )
= nil_no279930520tr_b_c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_nths__nil) ).
thf(55,axiom,
! [A2: set_nat] :
( ( nths_char @ nil_char @ A2 )
= nil_char ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_nths__nil) ).
thf(58,axiom,
! [X: node_p1234578834tr_b_c] :
( ( insert678865070tr_b_c @ X @ nil_no279930520tr_b_c )
= ( cons_n413985352tr_b_c @ X @ nil_no279930520tr_b_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_281_insert__Nil) ).
thf(59,axiom,
! [X: char] :
( ( insert_char @ X @ nil_char )
= ( cons_char @ X @ nil_char ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_insert__Nil) ).
thf(60,axiom,
( ( subseq1828679783tr_b_c @ nil_no279930520tr_b_c )
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ nil_li198338206tr_b_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_279_subseqs_Osimps_I1_J) ).
thf(61,axiom,
( ( subseqs_char @ nil_char )
= ( cons_list_char @ nil_char @ nil_list_char ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_278_subseqs_Osimps_I1_J) ).
thf(62,axiom,
( ( produc1509350401tr_b_c @ nil_li198338206tr_b_c )
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ nil_li198338206tr_b_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_product__lists_Osimps_I1_J) ).
thf(63,axiom,
( ( product_lists_char @ nil_list_char )
= ( cons_list_char @ nil_char @ nil_list_char ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_276_product__lists_Osimps_I1_J) ).
thf(69,axiom,
! [X: list_n282880152tr_b_c,Xa: list_n282880152tr_b_c,Y: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ X @ Xa )
= Y )
=> ( ( ( X = nil_no279930520tr_b_c )
=> ( Y != Xa ) )
=> ~ ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( X
= ( cons_n413985352tr_b_c @ X3 @ Xs2 ) )
=> ( Y
!= ( cons_n413985352tr_b_c @ X3 @ ( splice1294941035tr_b_c @ Xa @ Xs2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_270_splice_Oelims) ).
thf(70,axiom,
! [X: list_char,Xa: list_char,Y: list_char] :
( ( ( splice_char @ X @ Xa )
= Y )
=> ( ( ( X = nil_char )
=> ( Y != Xa ) )
=> ~ ! [X3: char,Xs2: list_char] :
( ( X
= ( cons_char @ X3 @ Xs2 ) )
=> ( Y
!= ( cons_char @ X3 @ ( splice_char @ Xa @ Xs2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_splice_Oelims) ).
thf(71,axiom,
! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c,P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ Xs )
= ( size_s2106487044tr_b_c @ Ys ) )
=> ( ( P @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ Xs2 )
= ( size_s2106487044tr_b_c @ Ys3 ) )
=> ( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) ) )
=> ( P @ Xs @ Ys ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_list__induct2) ).
thf(74,axiom,
! [Xs: list_char,Ys: list_char,P: list_char > list_char > $o] :
( ( ( size_size_list_char @ Xs )
= ( size_size_list_char @ Ys ) )
=> ( ( P @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char] :
( ( ( size_size_list_char @ Xs2 )
= ( size_size_list_char @ Ys3 ) )
=> ( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) ) )
=> ( P @ Xs @ Ys ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_list__induct2) ).
thf(75,axiom,
! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c,Zs2: list_n282880152tr_b_c,P: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ Xs )
= ( size_s2106487044tr_b_c @ Ys ) )
=> ( ( ( size_s2106487044tr_b_c @ Ys )
= ( size_s2106487044tr_b_c @ Zs2 ) )
=> ( ( P @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c,Z: node_p1234578834tr_b_c,Zs: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ Xs2 )
= ( size_s2106487044tr_b_c @ Ys3 ) )
=> ( ( ( size_s2106487044tr_b_c @ Ys3 )
= ( size_s2106487044tr_b_c @ Zs ) )
=> ( ( P @ Xs2 @ Ys3 @ Zs )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) @ ( cons_n413985352tr_b_c @ Z @ Zs ) ) ) ) )
=> ( P @ Xs @ Ys @ Zs2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_list__induct3) ).
thf(82,axiom,
! [Xs: list_char,Ys: list_char,Zs2: list_char,P: list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ Xs )
= ( size_size_list_char @ Ys ) )
=> ( ( ( size_size_list_char @ Ys )
= ( size_size_list_char @ Zs2 ) )
=> ( ( P @ nil_char @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char,Z: char,Zs: list_char] :
( ( ( size_size_list_char @ Xs2 )
= ( size_size_list_char @ Ys3 ) )
=> ( ( ( size_size_list_char @ Ys3 )
= ( size_size_list_char @ Zs ) )
=> ( ( P @ Xs2 @ Ys3 @ Zs )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) @ ( cons_char @ Z @ Zs ) ) ) ) )
=> ( P @ Xs @ Ys @ Zs2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_list__induct3) ).
thf(92,axiom,
! [Xs: list_char,Ys: list_char,Zs2: list_char,Ws: list_char,P: list_char > list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ Xs )
= ( size_size_list_char @ Ys ) )
=> ( ( ( size_size_list_char @ Ys )
= ( size_size_list_char @ Zs2 ) )
=> ( ( ( size_size_list_char @ Zs2 )
= ( size_size_list_char @ Ws ) )
=> ( ( P @ nil_char @ nil_char @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char,Z: char,Zs: list_char,W: char,Ws2: list_char] :
( ( ( size_size_list_char @ Xs2 )
= ( size_size_list_char @ Ys3 ) )
=> ( ( ( size_size_list_char @ Ys3 )
= ( size_size_list_char @ Zs ) )
=> ( ( ( size_size_list_char @ Zs )
= ( size_size_list_char @ Ws2 ) )
=> ( ( P @ Xs2 @ Ys3 @ Zs @ Ws2 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) @ ( cons_char @ Z @ Zs ) @ ( cons_char @ W @ Ws2 ) ) ) ) ) )
=> ( P @ Xs @ Ys @ Zs2 @ Ws ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_list__induct4) ).
thf(93,axiom,
! [Xs: list_n282880152tr_b_c,P: list_n282880152tr_b_c > $o] :
( ( Xs != nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( Xs2 != nil_no279930520tr_b_c )
=> ( ( P @ Xs2 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) ) ) )
=> ( P @ Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_list__nonempty__induct) ).
thf(94,axiom,
! [Xs: list_char,P: list_char > $o] :
( ( Xs != nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Xs2: list_char] :
( ( Xs2 != nil_char )
=> ( ( P @ Xs2 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) ) ) )
=> ( P @ Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_245_list__nonempty__induct) ).
thf(95,axiom,
! [P: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o,A0: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,A1: list_n282880152tr_b_c] :
( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( P @ P4 @ nil_no279930520tr_b_c )
=> ( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,X3: node_p1234578834tr_b_c] : ( P @ P4 @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( P @ P4 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) )
=> ( P @ P4 @ ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_successively_Oinduct) ).
thf(96,axiom,
! [P: ( char > char > $o ) > list_char > $o,A0: char > char > $o,A1: list_char] :
( ! [P4: char > char > $o] : ( P @ P4 @ nil_char )
=> ( ! [P4: char > char > $o,X3: char] : ( P @ P4 @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [P4: char > char > $o,X3: char,Y3: char,Xs2: list_char] :
( ( P @ P4 @ ( cons_char @ Y3 @ Xs2 ) )
=> ( P @ P4 @ ( cons_char @ X3 @ ( cons_char @ Y3 @ Xs2 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_243_successively_Oinduct) ).
thf(97,axiom,
! [P: list_n282880152tr_b_c > $o,A0: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( ( X3 = Y3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) ) )
=> ( ( ( X3 != Y3 )
=> ( P @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) ) ) )
=> ( P @ A0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_remdups__adj_Oinduct) ).
thf(98,axiom,
! [P: list_char > $o,A0: list_char] :
( ( P @ nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Y3: char,Xs2: list_char] :
( ( ( X3 = Y3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) ) )
=> ( ( ( X3 != Y3 )
=> ( P @ ( cons_char @ Y3 @ Xs2 ) ) )
=> ( P @ ( cons_char @ X3 @ ( cons_char @ Y3 @ Xs2 ) ) ) ) )
=> ( P @ A0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_remdups__adj_Oinduct) ).
thf(99,axiom,
! [P: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o,A0: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,A1: list_n282880152tr_b_c] :
( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( P @ P4 @ nil_no279930520tr_b_c )
=> ( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,X3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ P4 @ Ys3 )
=> ( P @ P4 @ ( cons_n413985352tr_b_c @ X3 @ Ys3 ) ) )
=> ( P @ A0 @ A1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_sorted__wrt_Oinduct) ).
thf(100,axiom,
! [P: ( char > char > $o ) > list_char > $o,A0: char > char > $o,A1: list_char] :
( ! [P4: char > char > $o] : ( P @ P4 @ nil_char )
=> ( ! [P4: char > char > $o,X3: char,Ys3: list_char] :
( ( P @ P4 @ Ys3 )
=> ( P @ P4 @ ( cons_char @ X3 @ Ys3 ) ) )
=> ( P @ A0 @ A1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_sorted__wrt_Oinduct) ).
thf(101,axiom,
! [X: list_n282880152tr_b_c] :
( ( X != nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] :
( X
!= ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ~ ! [X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( X
!= ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_remdups__adj_Ocases) ).
thf(102,axiom,
! [X: list_char] :
( ( X != nil_char )
=> ( ! [X3: char] :
( X
!= ( cons_char @ X3 @ nil_char ) )
=> ~ ! [X3: char,Y3: char,Xs2: list_char] :
( X
!= ( cons_char @ X3 @ ( cons_char @ Y3 @ Xs2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_237_remdups__adj_Ocases) ).
thf(103,axiom,
! [P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,A0: list_n282880152tr_b_c,A1: list_n282880152tr_b_c] :
( ! [X_12: list_n282880152tr_b_c] : ( P @ nil_no279930520tr_b_c @ X_12 )
=> ( ! [Xs2: list_n282880152tr_b_c] : ( P @ Xs2 @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Xs2 @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) )
=> ( ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_shuffles_Oinduct) ).
thf(104,axiom,
! [P: list_char > list_char > $o,A0: list_char,A1: list_char] :
( ! [X_12: list_char] : ( P @ nil_char @ X_12 )
=> ( ! [Xs2: list_char] : ( P @ Xs2 @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char] :
( ( P @ Xs2 @ ( cons_char @ Y3 @ Ys3 ) )
=> ( ( P @ ( cons_char @ X3 @ Xs2 ) @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_235_shuffles_Oinduct) ).
thf(105,axiom,
! [P: list_n282880152tr_b_c > $o,Xs: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Zs: list_n282880152tr_b_c] :
( ( P @ Zs )
=> ( ( P @ ( cons_n413985352tr_b_c @ Y3 @ Zs ) )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Zs ) ) ) ) )
=> ( P @ Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_induct__list012) ).
thf(106,axiom,
! [P: list_char > $o,Xs: list_char] :
( ( P @ nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Y3: char,Zs: list_char] :
( ( P @ Zs )
=> ( ( P @ ( cons_char @ Y3 @ Zs ) )
=> ( P @ ( cons_char @ X3 @ ( cons_char @ Y3 @ Zs ) ) ) ) )
=> ( P @ Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_induct__list012) ).
thf(107,axiom,
! [P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,A0: list_n282880152tr_b_c,A1: list_n282880152tr_b_c] :
( ! [X_12: list_n282880152tr_b_c] : ( P @ nil_no279930520tr_b_c @ X_12 )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Ys3 @ Xs2 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ Ys3 ) )
=> ( P @ A0 @ A1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_splice_Oinduct) ).
thf(108,axiom,
! [P: list_char > list_char > $o,A0: list_char,A1: list_char] :
( ! [X_12: list_char] : ( P @ nil_char @ X_12 )
=> ( ! [X3: char,Xs2: list_char,Ys3: list_char] :
( ( P @ Ys3 @ Xs2 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ Ys3 ) )
=> ( P @ A0 @ A1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_splice_Oinduct) ).
thf(109,axiom,
! [P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ nil_no279930520tr_b_c )
=> ( ! [Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] : ( P @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_list__induct2_H) ).
thf(110,axiom,
! [P: list_n282880152tr_b_c > list_char > $o,Xs: list_n282880152tr_b_c,Ys: list_char] :
( ( P @ nil_no279930520tr_b_c @ nil_char )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ nil_char )
=> ( ! [Y3: char,Ys3: list_char] : ( P @ nil_no279930520tr_b_c @ ( cons_char @ Y3 @ Ys3 ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: char,Ys3: list_char] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_229_list__induct2_H) ).
thf(111,axiom,
! [P: list_char > list_n282880152tr_b_c > $o,Xs: list_char,Ys: list_n282880152tr_b_c] :
( ( P @ nil_char @ nil_no279930520tr_b_c )
=> ( ! [X3: char,Xs2: list_char] : ( P @ ( cons_char @ X3 @ Xs2 ) @ nil_no279930520tr_b_c )
=> ( ! [Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] : ( P @ nil_char @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) )
=> ( ! [X3: char,Xs2: list_char,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_228_list__induct2_H) ).
thf(112,axiom,
! [P: list_char > list_char > $o,Xs: list_char,Ys: list_char] :
( ( P @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char] : ( P @ ( cons_char @ X3 @ Xs2 ) @ nil_char )
=> ( ! [Y3: char,Ys3: list_char] : ( P @ nil_char @ ( cons_char @ Y3 @ Ys3 ) )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_list__induct2_H) ).
thf(113,axiom,
! [Xs: list_n282880152tr_b_c] :
( ( Xs != nil_no279930520tr_b_c )
= ( ? [Y4: node_p1234578834tr_b_c,Ys2: list_n282880152tr_b_c] :
( Xs
= ( cons_n413985352tr_b_c @ Y4 @ Ys2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_neq__Nil__conv) ).
thf(114,axiom,
! [Xs: list_char] :
( ( Xs != nil_char )
= ( ? [Y4: char,Ys2: list_char] :
( Xs
= ( cons_char @ Y4 @ Ys2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_225_neq__Nil__conv) ).
thf(115,axiom,
! [P: list_n282880152tr_b_c > $o,List: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X12: node_p1234578834tr_b_c,X22: list_n282880152tr_b_c] :
( ( P @ X22 )
=> ( P @ ( cons_n413985352tr_b_c @ X12 @ X22 ) ) )
=> ( P @ List ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_list_Oinducts) ).
thf(116,axiom,
! [P: list_char > $o,List: list_char] :
( ( P @ nil_char )
=> ( ! [X12: char,X22: list_char] :
( ( P @ X22 )
=> ( P @ ( cons_char @ X12 @ X22 ) ) )
=> ( P @ List ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_list_Oinducts) ).
thf(117,axiom,
! [Y: list_n282880152tr_b_c] :
( ( Y != nil_no279930520tr_b_c )
=> ~ ! [X212: node_p1234578834tr_b_c,X223: list_n282880152tr_b_c] :
( Y
!= ( cons_n413985352tr_b_c @ X212 @ X223 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_list_Oexhaust) ).
thf(118,axiom,
! [Y: list_char] :
( ( Y != nil_char )
=> ~ ! [X212: char,X223: list_char] :
( Y
!= ( cons_char @ X212 @ X223 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_list_Oexhaust) ).
thf(119,axiom,
! [List: list_n282880152tr_b_c,X21: node_p1234578834tr_b_c,X222: list_n282880152tr_b_c] :
( ( List
= ( cons_n413985352tr_b_c @ X21 @ X222 ) )
=> ( List != nil_no279930520tr_b_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_list_OdiscI) ).
thf(120,axiom,
! [List: list_char,X21: char,X222: list_char] :
( ( List
= ( cons_char @ X21 @ X222 ) )
=> ( List != nil_char ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_219_list_OdiscI) ).
thf(121,axiom,
! [X21: node_p1234578834tr_b_c,X222: list_n282880152tr_b_c] :
( nil_no279930520tr_b_c
!= ( cons_n413985352tr_b_c @ X21 @ X222 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_list_Odistinct_I1_J) ).
thf(122,axiom,
! [X21: char,X222: list_char] :
( nil_char
!= ( cons_char @ X21 @ X222 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_list_Odistinct_I1_J) ).
thf(123,axiom,
! [X: list_l118626078tr_b_c] :
( ( X != nil_li198338206tr_b_c )
=> ( ! [Xss: list_l118626078tr_b_c] :
( X
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ Xss ) )
=> ~ ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Xss: list_l118626078tr_b_c] :
( X
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ Xss ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_transpose_Ocases) ).
thf(124,axiom,
! [X: list_list_char] :
( ( X != nil_list_char )
=> ( ! [Xss: list_list_char] :
( X
!= ( cons_list_char @ nil_char @ Xss ) )
=> ~ ! [X3: char,Xs2: list_char,Xss: list_list_char] :
( X
!= ( cons_list_char @ ( cons_char @ X3 @ Xs2 ) @ Xss ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_transpose_Ocases) ).
thf(126,axiom,
! [Y: node_p1234578834tr_b_c] :
( ( count_2128515342tr_b_c @ nil_no279930520tr_b_c @ Y )
= zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_count__list_Osimps_I1_J) ).
thf(127,axiom,
! [Y: char] :
( ( count_list_char @ nil_char @ Y )
= zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_count__list_Osimps_I1_J) ).
thf(129,axiom,
! [Ys: list_n282880152tr_b_c] :
( ( splice1294941035tr_b_c @ nil_no279930520tr_b_c @ Ys )
= Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_210_splice_Osimps_I1_J) ).
thf(130,axiom,
! [Ys: list_char] :
( ( splice_char @ nil_char @ Ys )
= Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_splice_Osimps_I1_J) ).
thf(131,axiom,
! [Xs: list_n282880152tr_b_c] :
( ( splice1294941035tr_b_c @ Xs @ nil_no279930520tr_b_c )
= Xs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_splice__Nil2) ).
thf(132,axiom,
! [Xs: list_char] :
( ( splice_char @ Xs @ nil_char )
= Xs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_splice__Nil2) ).
thf(133,axiom,
! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ Xs @ Ys )
= nil_no279930520tr_b_c )
= ( ( Xs = nil_no279930520tr_b_c )
& ( Ys = nil_no279930520tr_b_c ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_split__Nil__iff) ).
thf(134,axiom,
! [Xs: list_char,Ys: list_char] :
( ( ( splice_char @ Xs @ Ys )
= nil_char )
= ( ( Xs = nil_char )
& ( Ys = nil_char ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_205_split__Nil__iff) ).
thf(138,axiom,
! [X: option2026120038on_j_k,P: option2026120038on_j_k > option2026120038on_j_k > $o,Y: option2026120038on_j_k] :
( ( ( X = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ! [A4: sum_su1221287958on_j_k,B4: sum_su1221287958on_j_k] :
( ( X
= ( some_S1960742641on_j_k @ A4 ) )
=> ( ( Y
= ( some_S1960742641on_j_k @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_combine__options__cases) ).
thf(139,axiom,
! [X: option2026120038on_j_k,P: option2026120038on_j_k > option_element_ptr_a > $o,Y: option_element_ptr_a] :
( ( ( X = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ! [A4: sum_su1221287958on_j_k,B4: element_ptr_a] :
( ( X
= ( some_S1960742641on_j_k @ A4 ) )
=> ( ( Y
= ( some_element_ptr_a @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_combine__options__cases) ).
thf(140,axiom,
! [X: option_element_ptr_a,P: option_element_ptr_a > option2026120038on_j_k > $o,Y: option2026120038on_j_k] :
( ( ( X = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ! [A4: element_ptr_a,B4: sum_su1221287958on_j_k] :
( ( X
= ( some_element_ptr_a @ A4 ) )
=> ( ( Y
= ( some_S1960742641on_j_k @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_combine__options__cases) ).
thf(141,axiom,
! [X: option_element_ptr_a,P: option_element_ptr_a > option_element_ptr_a > $o,Y: option_element_ptr_a] :
( ( ( X = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ! [A4: element_ptr_a,B4: element_ptr_a] :
( ( X
= ( some_element_ptr_a @ A4 ) )
=> ( ( Y
= ( some_element_ptr_a @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_combine__options__cases) ).
thf(142,axiom,
( ( ^ [P2: option2026120038on_j_k > $o] :
! [X5: option2026120038on_j_k] : ( P2 @ X5 ) )
= ( ^ [P3: option2026120038on_j_k > $o] :
( ( P3 @ none_S1393028981on_j_k )
& ! [X4: sum_su1221287958on_j_k] : ( P3 @ ( some_S1960742641on_j_k @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_split__option__all) ).
thf(143,axiom,
( ( ^ [P2: option_element_ptr_a > $o] :
! [X5: option_element_ptr_a] : ( P2 @ X5 ) )
= ( ^ [P3: option_element_ptr_a > $o] :
( ( P3 @ none_element_ptr_a )
& ! [X4: element_ptr_a] : ( P3 @ ( some_element_ptr_a @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_split__option__all) ).
thf(144,axiom,
( ( ^ [P2: option2026120038on_j_k > $o] :
? [X5: option2026120038on_j_k] : ( P2 @ X5 ) )
= ( ^ [P3: option2026120038on_j_k > $o] :
( ( P3 @ none_S1393028981on_j_k )
| ? [X4: sum_su1221287958on_j_k] : ( P3 @ ( some_S1960742641on_j_k @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_split__option__ex) ).
thf(145,axiom,
( ( ^ [P2: option_element_ptr_a > $o] :
? [X5: option_element_ptr_a] : ( P2 @ X5 ) )
= ( ^ [P3: option_element_ptr_a > $o] :
( ( P3 @ none_element_ptr_a )
| ? [X4: element_ptr_a] : ( P3 @ ( some_element_ptr_a @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_split__option__ex) ).
thf(146,axiom,
! [P: option2026120038on_j_k > $o,Option: option2026120038on_j_k] :
( ( P @ none_S1393028981on_j_k )
=> ( ! [X3: sum_su1221287958on_j_k] : ( P @ ( some_S1960742641on_j_k @ X3 ) )
=> ( P @ Option ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_option_Oinducts) ).
thf(147,axiom,
! [P: option_element_ptr_a > $o,Option: option_element_ptr_a] :
( ( P @ none_element_ptr_a )
=> ( ! [X3: element_ptr_a] : ( P @ ( some_element_ptr_a @ X3 ) )
=> ( P @ Option ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_option_Oinducts) ).
thf(148,axiom,
! [Y: option2026120038on_j_k] :
( ( Y != none_S1393028981on_j_k )
=> ~ ! [X22: sum_su1221287958on_j_k] :
( Y
!= ( some_S1960742641on_j_k @ X22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_option_Oexhaust) ).
thf(149,axiom,
! [Y: option_element_ptr_a] :
( ( Y != none_element_ptr_a )
=> ~ ! [X22: element_ptr_a] :
( Y
!= ( some_element_ptr_a @ X22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_option_Oexhaust) ).
thf(150,axiom,
! [Option: option2026120038on_j_k,X2: sum_su1221287958on_j_k] :
( ( Option
= ( some_S1960742641on_j_k @ X2 ) )
=> ( Option != none_S1393028981on_j_k ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_option_OdiscI) ).
thf(151,axiom,
! [Option: option_element_ptr_a,X2: element_ptr_a] :
( ( Option
= ( some_element_ptr_a @ X2 ) )
=> ( Option != none_element_ptr_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_option_OdiscI) ).
thf(155,axiom,
! [X2: sum_su1221287958on_j_k] :
( none_S1393028981on_j_k
!= ( some_S1960742641on_j_k @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_option_Odistinct_I1_J) ).
thf(156,axiom,
! [X2: element_ptr_a] :
( none_element_ptr_a
!= ( some_element_ptr_a @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_option_Odistinct_I1_J) ).
thf(160,axiom,
! [Obj: rObjec1413572695_j_k_l,Document2: rObjec1617416918on_j_k] :
( ( ( cast_O1034441233_j_k_l @ Obj )
= ( some_R67702331on_j_k @ Document2 ) )
= ( ( cast_D1252964113_h_i_l @ Document2 )
= Obj ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__some) ).
thf(161,axiom,
! [Document2: rObjec1617416918on_j_k] :
( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ Document2 ) )
= ( some_R67702331on_j_k @ Document2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_178_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__inv) ).
thf(163,axiom,
! [X: option2026120038on_j_k] :
( ( X != none_S1393028981on_j_k )
= ( ? [Y4: sum_su1221287958on_j_k] :
( X
= ( some_S1960742641on_j_k @ Y4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_not__None__eq) ).
thf(164,axiom,
! [X: option_element_ptr_a] :
( ( X != none_element_ptr_a )
= ( ? [Y4: element_ptr_a] :
( X
= ( some_element_ptr_a @ Y4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_not__None__eq) ).
thf(168,axiom,
! [X: option2026120038on_j_k] :
( ( ! [Y4: sum_su1221287958on_j_k] :
( X
!= ( some_S1960742641on_j_k @ Y4 ) ) )
= ( X = none_S1393028981on_j_k ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_not__Some__eq) ).
thf(169,axiom,
! [X: option_element_ptr_a] :
( ( ! [Y4: element_ptr_a] :
( X
!= ( some_element_ptr_a @ Y4 ) ) )
= ( X = none_element_ptr_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_not__Some__eq) ).
thf(187,axiom,
! [N: nat] :
( ( gen_le955068453tr_b_c @ N @ nil_no279930520tr_b_c )
= N ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_gen__length__code_I1_J) ).
thf(188,axiom,
! [N: nat] :
( ( gen_length_char @ N @ nil_char )
= N ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_gen__length__code_I1_J) ).
thf(224,axiom,
( is_doc1417632087_j_k_l
= ( ^ [Ptr: rObjec1413572695_j_k_l] :
( ( cast_O1034441233_j_k_l @ Ptr )
!= none_R1587534007on_j_k ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_is__document__kind__def) ).
thf(225,axiom,
! [P: node_p1234578834tr_b_c > $o] :
~ ( list_e469495899tr_b_c @ P @ nil_no279930520tr_b_c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_list__ex1__simps_I1_J) ).
thf(226,axiom,
! [P: char > $o] :
~ ( list_ex1_char @ P @ nil_char ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_list__ex1__simps_I1_J) ).
thf(229,axiom,
! [Obj: rObjec1413572695_j_k_l] :
( ( ( cast_O1034441233_j_k_l @ Obj )
= none_R1587534007on_j_k )
= ( ~ ? [Document: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ Document )
= Obj ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__none) ).
thf(233,axiom,
! [X: sum_su1221287958on_j_k > nat] :
( ( size_o1777465779on_j_k @ X @ none_S1393028981on_j_k )
= ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_option_Osize__gen_I1_J) ).
thf(234,axiom,
! [X: element_ptr_a > nat] :
( ( size_o1591053974_ptr_a @ X @ none_element_ptr_a )
= ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_option_Osize__gen_I1_J) ).
thf(241,axiom,
! [Nothing: product_unit,More: rDocum326988203on_j_k] :
( ( nothin1567949605on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ More ) )
= Nothing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_RObject_Oselect__convs_I1_J) ).
thf(251,axiom,
! [R: rObjec1617416918on_j_k] :
( R
= ( rObjec1303043984on_j_k @ ( nothin1567949605on_j_k @ R ) @ ( more_R1625109589on_j_k @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_RObject_Osurjective) ).
thf(253,axiom,
( ( size_s2106487044tr_b_c @ nil_no279930520tr_b_c )
= zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_list_Osize_I3_J) ).
thf(254,axiom,
( ( size_size_list_char @ nil_char )
= zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_list_Osize_I3_J) ).
thf(257,axiom,
( ( size_s1129069050on_j_k @ none_S1393028981on_j_k )
= ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_option_Osize_I3_J) ).
thf(258,axiom,
( ( size_s1129684517_ptr_a @ none_element_ptr_a )
= ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_option_Osize_I3_J) ).
thf(262,axiom,
! [Xs: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ Xs )
= zero_zero_nat )
= ( Xs = nil_no279930520tr_b_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_length__0__conv) ).
thf(263,axiom,
! [Xs: list_char] :
( ( ( size_size_list_char @ Xs )
= zero_zero_nat )
= ( Xs = nil_char ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_length__0__conv) ).
thf(276,axiom,
! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( nothin757132294on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Nothinga ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_RDocument_Oselect__convs_I1_J) ).
thf(277,axiom,
! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( doctyp814403297on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Doctype ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_RDocument_Oselect__convs_I2_J) ).
thf(278,axiom,
! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( docume1175131570on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Document_element ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_RDocument_Oselect__convs_I3_J) ).
thf(279,axiom,
! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( discon866287741on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Disconnected_nodes ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_RDocument_Oselect__convs_I4_J) ).
thf(280,axiom,
! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( more_c1453068134on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= More ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_RDocument_Oselect__convs_I5_J) ).
thf(282,axiom,
! [More2: option2026120038on_j_k > option2026120038on_j_k,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( more_u1044474223_c_a_b @ More2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ ( More2 @ More ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_RDocument_Oupdate__convs_I5_J) ).
thf(287,axiom,
! [Nothing: product_unit,More: rDocum326988203on_j_k] :
( ( more_R1625109589on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ More ) )
= More ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_RObject_Oselect__convs_I2_J) ).
thf(293,axiom,
! [Disconnected_nodes2: list_n282880152tr_b_c > list_n282880152tr_b_c,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( discon442323090on_j_k @ Disconnected_nodes2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ ( Disconnected_nodes2 @ Disconnected_nodes ) @ More ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_RDocument_Oupdate__convs_I4_J) ).
thf(294,axiom,
! [Document_element2: option_element_ptr_a > option_element_ptr_a,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( docume244715269on_j_k @ Document_element2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ ( Document_element2 @ Document_element ) @ Disconnected_nodes @ More ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_RDocument_Oupdate__convs_I3_J) ).
thf(295,axiom,
! [Doctype2: list_char > list_char,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( doctyp68000440on_j_k @ Doctype2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ ( Doctype2 @ Doctype ) @ Document_element @ Disconnected_nodes @ More ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_RDocument_Oupdate__convs_I2_J) ).
thf(296,axiom,
! [Nothing2: product_unit > product_unit,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( nothin1105341917on_j_k @ Nothing2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ ( Nothing2 @ Nothinga ) @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_RDocument_Oupdate__convs_I1_J) ).
thf(299,axiom,
! [X: rObjec103300152t_unit] :
( ( rObjec730108904t_unit @ product_Unity @ ( more_Product_unit @ X ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_object__empty) ).
thf(300,axiom,
! [X: rObjec1617416918on_j_k] :
( ( rObjec1303043984on_j_k @ product_Unity @ ( more_R1625109589on_j_k @ X ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_object__empty) ).
thf(303,axiom,
( put_D_2126422573_h_i_l
= ( ^ [Document_ptr: docume1935157360tr_d_e,Document: rObjec1617416918on_j_k] : ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ Document_ptr ) @ ( cast_D1252964113_h_i_l @ Document ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_put_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__def) ).
thf(319,axiom,
! [P: rDocum326988203on_j_k > $o,R: rDocum326988203on_j_k] :
( ! [Nothinga3: product_unit,Doctype3: list_char,Document_element3: option_element_ptr_a,Disconnected_nodes3: list_n282880152tr_b_c,More3: option2026120038on_j_k] : ( P @ ( rDocum427676485on_j_k @ Nothinga3 @ Doctype3 @ Document_element3 @ Disconnected_nodes3 @ More3 ) )
=> ( P @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_RDocument_Oext__induct) ).
thf(321,axiom,
! [R: rObjec1617416918on_j_k] :
~ ! [Nothing3: product_unit,More3: rDocum326988203on_j_k] :
( R
!= ( rObjec1303043984on_j_k @ Nothing3 @ More3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_RObject_Ocases__scheme) ).
thf(323,axiom,
! [P: rObjec1617416918on_j_k > $o,R: rObjec1617416918on_j_k] :
( ! [Nothing3: product_unit,More3: rDocum326988203on_j_k] : ( P @ ( rObjec1303043984on_j_k @ Nothing3 @ More3 ) )
=> ( P @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_RObject_Oinduct__scheme) ).
thf(327,axiom,
! [R: rObjec103300152t_unit] :
~ ! [Nothing3: product_unit] :
( R
!= ( rObjec730108904t_unit @ Nothing3 @ product_Unity ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_RObject_Ocases) ).
thf(328,axiom,
! [P: rObjec103300152t_unit > $o,R: rObjec103300152t_unit] :
( ! [Nothing3: product_unit] : ( P @ ( rObjec730108904t_unit @ Nothing3 @ product_Unity ) )
=> ( P @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_RObject_Oinduct) ).
thf(330,axiom,
! [P: rObjec1617416918on_j_k > $o,R: rObjec1617416918on_j_k] :
( ! [Nothing3: product_unit,Nothinga3: product_unit,Doctype3: list_char,Document_element3: option_element_ptr_a,Disconnected_nodes3: list_n282880152tr_b_c,More3: option2026120038on_j_k] : ( P @ ( rObjec1303043984on_j_k @ Nothing3 @ ( rDocum427676485on_j_k @ Nothinga3 @ Doctype3 @ Document_element3 @ Disconnected_nodes3 @ More3 ) ) )
=> ( P @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_RDocument_Oinduct__scheme) ).
thf(331,axiom,
! [R: rObjec1617416918on_j_k] :
~ ! [Nothing3: product_unit,Nothinga3: product_unit,Doctype3: list_char,Document_element3: option_element_ptr_a,Disconnected_nodes3: list_n282880152tr_b_c,More3: option2026120038on_j_k] :
( R
!= ( rObjec1303043984on_j_k @ Nothing3 @ ( rDocum427676485on_j_k @ Nothinga3 @ Doctype3 @ Document_element3 @ Disconnected_nodes3 @ More3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_RDocument_Ocases__scheme) ).
thf(335,axiom,
! [Nothing: product_unit,More: rDocum326988203on_j_k,Nothing2: product_unit,More2: rDocum326988203on_j_k] :
( ( ( rObjec1303043984on_j_k @ Nothing @ More )
= ( rObjec1303043984on_j_k @ Nothing2 @ More2 ) )
= ( ( Nothing = Nothing2 )
& ( More = More2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_RObject_Oext__inject) ).
thf(336,axiom,
! [Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k,Nothinga2: product_unit,Doctype2: list_char,Document_element2: option_element_ptr_a,Disconnected_nodes2: list_n282880152tr_b_c,More2: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More )
= ( rDocum427676485on_j_k @ Nothinga2 @ Doctype2 @ Document_element2 @ Disconnected_nodes2 @ More2 ) )
= ( ( Nothinga = Nothinga2 )
& ( Doctype = Doctype2 )
& ( Document_element = Document_element2 )
& ( Disconnected_nodes = Disconnected_nodes2 )
& ( More = More2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_RDocument_Oext__inject) ).
thf(339,axiom,
! [X: rObjec1617416918on_j_k,Y: rObjec1617416918on_j_k] :
( ( ( cast_D1252964113_h_i_l @ X )
= ( cast_D1252964113_h_i_l @ Y ) )
= ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cast_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t__inject) ).
thf(343,conjecture,
is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
thf(344,negated_conjecture,
( ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[343]) ).
thf(345,plain,
( ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[344]) ).
thf(346,plain,
( ( ! [A: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ nil_no279930520tr_b_c @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(347,plain,
( ( ! [A: list_char] :
( ( append_char @ nil_char @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(348,plain,
( ( ! [Ys: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ nil_no279930520tr_b_c @ Ys )
= Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(349,plain,
( ( ! [Ys: list_char] :
( ( append_char @ nil_char @ Ys )
= Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(350,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( Xs = Ys )
=> ( Xs
= ( append846395565tr_b_c @ nil_no279930520tr_b_c @ Ys ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(351,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( Xs = Ys )
=> ( Xs
= ( append_char @ nil_char @ Ys ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(352,plain,
( ( ! [Xs: list_n282880152tr_b_c,P: list_n282880152tr_b_c > $o] :
( ( Xs != nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( Xs2 != nil_no279930520tr_b_c )
=> ( ( P @ Xs2 )
=> ( P @ ( append846395565tr_b_c @ Xs2 @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(353,plain,
( ( ! [Xs: list_char,P: list_char > $o] :
( ( Xs != nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Xs2: list_char] :
( ( Xs2 != nil_char )
=> ( ( P @ Xs2 )
=> ( P @ ( append_char @ Xs2 @ ( cons_char @ X3 @ nil_char ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(354,plain,
( ( ! [Ys: list_n282880152tr_b_c,Zs2: list_n282880152tr_b_c,X: node_p1234578834tr_b_c,Xs: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Ys @ Zs2 )
= ( cons_n413985352tr_b_c @ X @ Xs ) )
= ( ( ( Ys = nil_no279930520tr_b_c )
& ( Zs2
= ( cons_n413985352tr_b_c @ X @ Xs ) ) )
| ? [Ys4: list_n282880152tr_b_c] :
( ( Ys
= ( cons_n413985352tr_b_c @ X @ Ys4 ) )
& ( ( append846395565tr_b_c @ Ys4 @ Zs2 )
= Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(355,plain,
( ( ! [Ys: list_char,Zs2: list_char,X: char,Xs: list_char] :
( ( ( append_char @ Ys @ Zs2 )
= ( cons_char @ X @ Xs ) )
= ( ( ( Ys = nil_char )
& ( Zs2
= ( cons_char @ X @ Xs ) ) )
| ? [Ys4: list_char] :
( ( Ys
= ( cons_char @ X @ Ys4 ) )
& ( ( append_char @ Ys4 @ Zs2 )
= Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(356,plain,
( ( ! [X: node_p1234578834tr_b_c,Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c,Zs2: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ X @ Xs )
= ( append846395565tr_b_c @ Ys @ Zs2 ) )
= ( ( ( Ys = nil_no279930520tr_b_c )
& ( ( cons_n413985352tr_b_c @ X @ Xs )
= Zs2 ) )
| ? [Ys4: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ X @ Ys4 )
= Ys )
& ( Xs
= ( append846395565tr_b_c @ Ys4 @ Zs2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(357,plain,
( ( ! [X: char,Xs: list_char,Ys: list_char,Zs2: list_char] :
( ( ( cons_char @ X @ Xs )
= ( append_char @ Ys @ Zs2 ) )
= ( ( ( Ys = nil_char )
& ( ( cons_char @ X @ Xs )
= Zs2 ) )
| ? [Ys4: list_char] :
( ( ( cons_char @ X @ Ys4 )
= Ys )
& ( Xs
= ( append_char @ Ys4 @ Zs2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(358,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( Xs != nil_no279930520tr_b_c )
=> ~ ! [Ys3: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c] :
( Xs
!= ( append846395565tr_b_c @ Ys3 @ ( cons_n413985352tr_b_c @ Y3 @ nil_no279930520tr_b_c ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(359,plain,
( ( ! [Xs: list_char] :
( ( Xs != nil_char )
=> ~ ! [Ys3: list_char,Y3: char] :
( Xs
!= ( append_char @ Ys3 @ ( cons_char @ Y3 @ nil_char ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(360,plain,
( ( ! [P: list_n282880152tr_b_c > $o,Xs: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( P @ Xs2 )
=> ( P @ ( append846395565tr_b_c @ Xs2 @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) ) ) )
=> ( P @ Xs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(361,plain,
( ( ! [P: list_char > $o,Xs: list_char] :
( ( P @ nil_char )
=> ( ! [X3: char,Xs2: list_char] :
( ( P @ Xs2 )
=> ( P @ ( append_char @ Xs2 @ ( cons_char @ X3 @ nil_char ) ) ) )
=> ( P @ Xs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(362,plain,
( ( ! [Xs: list_n282880152tr_b_c,X: node_p1234578834tr_b_c,Ys: list_n282880152tr_b_c,Y: node_p1234578834tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ ( cons_n413985352tr_b_c @ X @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ Ys @ ( cons_n413985352tr_b_c @ Y @ nil_no279930520tr_b_c ) ) )
= ( ( Xs = Ys )
& ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(363,plain,
( ( ! [Xs: list_char,X: char,Ys: list_char,Y: char] :
( ( ( append_char @ Xs @ ( cons_char @ X @ nil_char ) )
= ( append_char @ Ys @ ( cons_char @ Y @ nil_char ) ) )
= ( ( Xs = Ys )
& ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(364,plain,
( ( ! [A: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ A @ nil_no279930520tr_b_c )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(365,plain,
( ( ! [A: list_char] :
( ( append_char @ A @ nil_char )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(366,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ Ys )
= nil_no279930520tr_b_c )
= ( ( Xs = nil_no279930520tr_b_c )
& ( Ys = nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(367,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( ( append_char @ Xs @ Ys )
= nil_char )
= ( ( Xs = nil_char )
& ( Ys = nil_char ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(368,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ Xs @ Ys ) )
= ( ( Xs = nil_no279930520tr_b_c )
& ( Ys = nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(369,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( nil_char
= ( append_char @ Xs @ Ys ) )
= ( ( Xs = nil_char )
& ( Ys = nil_char ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(370,plain,
( ( ! [Ys: list_n282880152tr_b_c,Xs: list_n282880152tr_b_c] :
( ( Ys
= ( append846395565tr_b_c @ Xs @ Ys ) )
= ( Xs = nil_no279930520tr_b_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(371,plain,
( ( ! [Ys: list_char,Xs: list_char] :
( ( Ys
= ( append_char @ Xs @ Ys ) )
= ( Xs = nil_char ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(372,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ Ys )
= Ys )
= ( Xs = nil_no279930520tr_b_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(373,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( ( append_char @ Xs @ Ys )
= Ys )
= ( Xs = nil_char ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(374,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( Xs
= ( append846395565tr_b_c @ Xs @ Ys ) )
= ( Ys = nil_no279930520tr_b_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(375,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( Xs
= ( append_char @ Xs @ Ys ) )
= ( Ys = nil_char ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(376,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ Ys )
= Xs )
= ( Ys = nil_no279930520tr_b_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(377,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( ( append_char @ Xs @ Ys )
= Xs )
= ( Ys = nil_char ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(378,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ Xs @ nil_no279930520tr_b_c )
= Xs ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(379,plain,
( ( ! [Xs: list_char] :
( ( append_char @ Xs @ nil_char )
= Xs ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(380,plain,
( ( ! [F: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( bind_S607117548on_j_k @ none_S1393028981on_j_k @ F )
= none_S1393028981on_j_k ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(381,plain,
( ( ! [F: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( bind_S287509021_ptr_a @ none_S1393028981on_j_k @ F )
= none_element_ptr_a ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(382,plain,
( ( ! [F: element_ptr_a > option2026120038on_j_k] :
( ( bind_e1012152651on_j_k @ none_element_ptr_a @ F )
= none_S1393028981on_j_k ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(383,plain,
( ( ! [F: element_ptr_a > option_element_ptr_a] :
( ( bind_e22036734_ptr_a @ none_element_ptr_a @ F )
= none_element_ptr_a ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(384,plain,
( ( ! [P: option2026120038on_j_k > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( P @ ( bind_S607117548on_j_k @ M2 @ F ) )
= ( ( ( M2 = none_S1393028981on_j_k )
=> ( P @ none_S1393028981on_j_k ) )
& ! [V3: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(385,plain,
( ( ! [P: option_element_ptr_a > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( P @ ( bind_S287509021_ptr_a @ M2 @ F ) )
= ( ( ( M2 = none_S1393028981on_j_k )
=> ( P @ none_element_ptr_a ) )
& ! [V3: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(386,plain,
( ( ! [P: option2026120038on_j_k > $o,M2: option_element_ptr_a,F: element_ptr_a > option2026120038on_j_k] :
( ( P @ ( bind_e1012152651on_j_k @ M2 @ F ) )
= ( ( ( M2 = none_element_ptr_a )
=> ( P @ none_S1393028981on_j_k ) )
& ! [V3: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(387,plain,
( ( ! [P: option_element_ptr_a > $o,M2: option_element_ptr_a,F: element_ptr_a > option_element_ptr_a] :
( ( P @ ( bind_e22036734_ptr_a @ M2 @ F ) )
= ( ( ( M2 = none_element_ptr_a )
=> ( P @ none_element_ptr_a ) )
& ! [V3: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(388,plain,
( ( ! [P: option2026120038on_j_k > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( P @ ( bind_S607117548on_j_k @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_S1393028981on_j_k )
& ~ ( P @ none_S1393028981on_j_k ) )
| ? [X4: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(389,plain,
( ( ! [P: option_element_ptr_a > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( P @ ( bind_S287509021_ptr_a @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_S1393028981on_j_k )
& ~ ( P @ none_element_ptr_a ) )
| ? [X4: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(390,plain,
( ( ! [P: option2026120038on_j_k > $o,M2: option_element_ptr_a,F: element_ptr_a > option2026120038on_j_k] :
( ( P @ ( bind_e1012152651on_j_k @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_element_ptr_a )
& ~ ( P @ none_S1393028981on_j_k ) )
| ? [X4: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(391,plain,
( ( ! [P: option_element_ptr_a > $o,M2: option_element_ptr_a,F: element_ptr_a > option_element_ptr_a] :
( ( P @ ( bind_e22036734_ptr_a @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_element_ptr_a )
& ~ ( P @ none_element_ptr_a ) )
| ? [X4: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(392,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( nths_n1256675478tr_b_c @ Xs @ bot_bot_set_nat )
= nil_no279930520tr_b_c ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(393,plain,
( ( ! [Xs: list_char] :
( ( nths_char @ Xs @ bot_bot_set_nat )
= nil_char ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(394,plain,
( ( ! [A2: set_nat] :
( ( nths_n1256675478tr_b_c @ nil_no279930520tr_b_c @ A2 )
= nil_no279930520tr_b_c ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(395,plain,
( ( ! [A2: set_nat] :
( ( nths_char @ nil_char @ A2 )
= nil_char ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(396,plain,
( ( ! [X: node_p1234578834tr_b_c] :
( ( insert678865070tr_b_c @ X @ nil_no279930520tr_b_c )
= ( cons_n413985352tr_b_c @ X @ nil_no279930520tr_b_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(397,plain,
( ( ! [X: char] :
( ( insert_char @ X @ nil_char )
= ( cons_char @ X @ nil_char ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(398,plain,
( ( ( subseq1828679783tr_b_c @ nil_no279930520tr_b_c )
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ nil_li198338206tr_b_c ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(399,plain,
( ( ( subseqs_char @ nil_char )
= ( cons_list_char @ nil_char @ nil_list_char ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(400,plain,
( ( ( produc1509350401tr_b_c @ nil_li198338206tr_b_c )
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ nil_li198338206tr_b_c ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(401,plain,
( ( ( product_lists_char @ nil_list_char )
= ( cons_list_char @ nil_char @ nil_list_char ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(402,plain,
( ( ! [X: list_n282880152tr_b_c,Xa: list_n282880152tr_b_c,Y: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ X @ Xa )
= Y )
=> ( ( ( X = nil_no279930520tr_b_c )
=> ( Y != Xa ) )
=> ~ ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( X
= ( cons_n413985352tr_b_c @ X3 @ Xs2 ) )
=> ( Y
!= ( cons_n413985352tr_b_c @ X3 @ ( splice1294941035tr_b_c @ Xa @ Xs2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(403,plain,
( ( ! [X: list_char,Xa: list_char,Y: list_char] :
( ( ( splice_char @ X @ Xa )
= Y )
=> ( ( ( X = nil_char )
=> ( Y != Xa ) )
=> ~ ! [X3: char,Xs2: list_char] :
( ( X
= ( cons_char @ X3 @ Xs2 ) )
=> ( Y
!= ( cons_char @ X3 @ ( splice_char @ Xa @ Xs2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(404,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c,P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ Xs )
= ( size_s2106487044tr_b_c @ Ys ) )
=> ( ( P @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ Xs2 )
= ( size_s2106487044tr_b_c @ Ys3 ) )
=> ( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) ) )
=> ( P @ Xs @ Ys ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(405,plain,
( ( ! [Xs: list_char,Ys: list_char,P: list_char > list_char > $o] :
( ( ( size_size_list_char @ Xs )
= ( size_size_list_char @ Ys ) )
=> ( ( P @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char] :
( ( ( size_size_list_char @ Xs2 )
= ( size_size_list_char @ Ys3 ) )
=> ( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) ) )
=> ( P @ Xs @ Ys ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(406,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c,Zs2: list_n282880152tr_b_c,P: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ Xs )
= ( size_s2106487044tr_b_c @ Ys ) )
=> ( ( ( size_s2106487044tr_b_c @ Ys )
= ( size_s2106487044tr_b_c @ Zs2 ) )
=> ( ( P @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c,Z: node_p1234578834tr_b_c,Zs: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ Xs2 )
= ( size_s2106487044tr_b_c @ Ys3 ) )
=> ( ( ( size_s2106487044tr_b_c @ Ys3 )
= ( size_s2106487044tr_b_c @ Zs ) )
=> ( ( P @ Xs2 @ Ys3 @ Zs )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) @ ( cons_n413985352tr_b_c @ Z @ Zs ) ) ) ) )
=> ( P @ Xs @ Ys @ Zs2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(407,plain,
( ( ! [Xs: list_char,Ys: list_char,Zs2: list_char,P: list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ Xs )
= ( size_size_list_char @ Ys ) )
=> ( ( ( size_size_list_char @ Ys )
= ( size_size_list_char @ Zs2 ) )
=> ( ( P @ nil_char @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char,Z: char,Zs: list_char] :
( ( ( size_size_list_char @ Xs2 )
= ( size_size_list_char @ Ys3 ) )
=> ( ( ( size_size_list_char @ Ys3 )
= ( size_size_list_char @ Zs ) )
=> ( ( P @ Xs2 @ Ys3 @ Zs )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) @ ( cons_char @ Z @ Zs ) ) ) ) )
=> ( P @ Xs @ Ys @ Zs2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(408,plain,
( ( ! [Xs: list_char,Ys: list_char,Zs2: list_char,Ws: list_char,P: list_char > list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ Xs )
= ( size_size_list_char @ Ys ) )
=> ( ( ( size_size_list_char @ Ys )
= ( size_size_list_char @ Zs2 ) )
=> ( ( ( size_size_list_char @ Zs2 )
= ( size_size_list_char @ Ws ) )
=> ( ( P @ nil_char @ nil_char @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char,Z: char,Zs: list_char,W: char,Ws2: list_char] :
( ( ( size_size_list_char @ Xs2 )
= ( size_size_list_char @ Ys3 ) )
=> ( ( ( size_size_list_char @ Ys3 )
= ( size_size_list_char @ Zs ) )
=> ( ( ( size_size_list_char @ Zs )
= ( size_size_list_char @ Ws2 ) )
=> ( ( P @ Xs2 @ Ys3 @ Zs @ Ws2 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) @ ( cons_char @ Z @ Zs ) @ ( cons_char @ W @ Ws2 ) ) ) ) ) )
=> ( P @ Xs @ Ys @ Zs2 @ Ws ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(409,plain,
( ( ! [Xs: list_n282880152tr_b_c,P: list_n282880152tr_b_c > $o] :
( ( Xs != nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( Xs2 != nil_no279930520tr_b_c )
=> ( ( P @ Xs2 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(410,plain,
( ( ! [Xs: list_char,P: list_char > $o] :
( ( Xs != nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Xs2: list_char] :
( ( Xs2 != nil_char )
=> ( ( P @ Xs2 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(411,plain,
( ( ! [P: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o,A0: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,A1: list_n282880152tr_b_c] :
( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( P @ P4 @ nil_no279930520tr_b_c )
=> ( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,X3: node_p1234578834tr_b_c] : ( P @ P4 @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( P @ P4 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) )
=> ( P @ P4 @ ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(412,plain,
( ( ! [P: ( char > char > $o ) > list_char > $o,A0: char > char > $o,A1: list_char] :
( ! [P4: char > char > $o] : ( P @ P4 @ nil_char )
=> ( ! [P4: char > char > $o,X3: char] : ( P @ P4 @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [P4: char > char > $o,X3: char,Y3: char,Xs2: list_char] :
( ( P @ P4 @ ( cons_char @ Y3 @ Xs2 ) )
=> ( P @ P4 @ ( cons_char @ X3 @ ( cons_char @ Y3 @ Xs2 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(413,plain,
( ( ! [P: list_n282880152tr_b_c > $o,A0: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( ( X3 = Y3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) ) )
=> ( ( ( X3 != Y3 )
=> ( P @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) ) ) )
=> ( P @ A0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(414,plain,
( ( ! [P: list_char > $o,A0: list_char] :
( ( P @ nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Y3: char,Xs2: list_char] :
( ( ( X3 = Y3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) ) )
=> ( ( ( X3 != Y3 )
=> ( P @ ( cons_char @ Y3 @ Xs2 ) ) )
=> ( P @ ( cons_char @ X3 @ ( cons_char @ Y3 @ Xs2 ) ) ) ) )
=> ( P @ A0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(415,plain,
( ( ! [P: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o,A0: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,A1: list_n282880152tr_b_c] :
( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( P @ P4 @ nil_no279930520tr_b_c )
=> ( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,X3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ P4 @ Ys3 )
=> ( P @ P4 @ ( cons_n413985352tr_b_c @ X3 @ Ys3 ) ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(416,plain,
( ( ! [P: ( char > char > $o ) > list_char > $o,A0: char > char > $o,A1: list_char] :
( ! [P4: char > char > $o] : ( P @ P4 @ nil_char )
=> ( ! [P4: char > char > $o,X3: char,Ys3: list_char] :
( ( P @ P4 @ Ys3 )
=> ( P @ P4 @ ( cons_char @ X3 @ Ys3 ) ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(417,plain,
( ( ! [X: list_n282880152tr_b_c] :
( ( X != nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] :
( X
!= ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ~ ! [X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( X
!= ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(418,plain,
( ( ! [X: list_char] :
( ( X != nil_char )
=> ( ! [X3: char] :
( X
!= ( cons_char @ X3 @ nil_char ) )
=> ~ ! [X3: char,Y3: char,Xs2: list_char] :
( X
!= ( cons_char @ X3 @ ( cons_char @ Y3 @ Xs2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(419,plain,
( ( ! [P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,A0: list_n282880152tr_b_c,A1: list_n282880152tr_b_c] :
( ! [X_12: list_n282880152tr_b_c] : ( P @ nil_no279930520tr_b_c @ X_12 )
=> ( ! [Xs2: list_n282880152tr_b_c] : ( P @ Xs2 @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Xs2 @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) )
=> ( ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(420,plain,
( ( ! [P: list_char > list_char > $o,A0: list_char,A1: list_char] :
( ! [X_12: list_char] : ( P @ nil_char @ X_12 )
=> ( ! [Xs2: list_char] : ( P @ Xs2 @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char] :
( ( P @ Xs2 @ ( cons_char @ Y3 @ Ys3 ) )
=> ( ( P @ ( cons_char @ X3 @ Xs2 ) @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(421,plain,
( ( ! [P: list_n282880152tr_b_c > $o,Xs: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Zs: list_n282880152tr_b_c] :
( ( P @ Zs )
=> ( ( P @ ( cons_n413985352tr_b_c @ Y3 @ Zs ) )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Zs ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(422,plain,
( ( ! [P: list_char > $o,Xs: list_char] :
( ( P @ nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Y3: char,Zs: list_char] :
( ( P @ Zs )
=> ( ( P @ ( cons_char @ Y3 @ Zs ) )
=> ( P @ ( cons_char @ X3 @ ( cons_char @ Y3 @ Zs ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(423,plain,
( ( ! [P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,A0: list_n282880152tr_b_c,A1: list_n282880152tr_b_c] :
( ! [X_12: list_n282880152tr_b_c] : ( P @ nil_no279930520tr_b_c @ X_12 )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Ys3 @ Xs2 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ Ys3 ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(424,plain,
( ( ! [P: list_char > list_char > $o,A0: list_char,A1: list_char] :
( ! [X_12: list_char] : ( P @ nil_char @ X_12 )
=> ( ! [X3: char,Xs2: list_char,Ys3: list_char] :
( ( P @ Ys3 @ Xs2 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ Ys3 ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(425,plain,
( ( ! [P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ nil_no279930520tr_b_c )
=> ( ! [Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] : ( P @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(426,plain,
( ( ! [P: list_n282880152tr_b_c > list_char > $o,Xs: list_n282880152tr_b_c,Ys: list_char] :
( ( P @ nil_no279930520tr_b_c @ nil_char )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ nil_char )
=> ( ! [Y3: char,Ys3: list_char] : ( P @ nil_no279930520tr_b_c @ ( cons_char @ Y3 @ Ys3 ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: char,Ys3: list_char] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(427,plain,
( ( ! [P: list_char > list_n282880152tr_b_c > $o,Xs: list_char,Ys: list_n282880152tr_b_c] :
( ( P @ nil_char @ nil_no279930520tr_b_c )
=> ( ! [X3: char,Xs2: list_char] : ( P @ ( cons_char @ X3 @ Xs2 ) @ nil_no279930520tr_b_c )
=> ( ! [Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] : ( P @ nil_char @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) )
=> ( ! [X3: char,Xs2: list_char,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(428,plain,
( ( ! [P: list_char > list_char > $o,Xs: list_char,Ys: list_char] :
( ( P @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char] : ( P @ ( cons_char @ X3 @ Xs2 ) @ nil_char )
=> ( ! [Y3: char,Ys3: list_char] : ( P @ nil_char @ ( cons_char @ Y3 @ Ys3 ) )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(429,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( Xs != nil_no279930520tr_b_c )
= ( ? [Y4: node_p1234578834tr_b_c,Ys2: list_n282880152tr_b_c] :
( Xs
= ( cons_n413985352tr_b_c @ Y4 @ Ys2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(430,plain,
( ( ! [Xs: list_char] :
( ( Xs != nil_char )
= ( ? [Y4: char,Ys2: list_char] :
( Xs
= ( cons_char @ Y4 @ Ys2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(431,plain,
( ( ! [P: list_n282880152tr_b_c > $o,List: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X12: node_p1234578834tr_b_c,X22: list_n282880152tr_b_c] :
( ( P @ X22 )
=> ( P @ ( cons_n413985352tr_b_c @ X12 @ X22 ) ) )
=> ( P @ List ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(432,plain,
( ( ! [P: list_char > $o,List: list_char] :
( ( P @ nil_char )
=> ( ! [X12: char,X22: list_char] :
( ( P @ X22 )
=> ( P @ ( cons_char @ X12 @ X22 ) ) )
=> ( P @ List ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(433,plain,
( ( ! [Y: list_n282880152tr_b_c] :
( ( Y != nil_no279930520tr_b_c )
=> ~ ! [X212: node_p1234578834tr_b_c,X223: list_n282880152tr_b_c] :
( Y
!= ( cons_n413985352tr_b_c @ X212 @ X223 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(434,plain,
( ( ! [Y: list_char] :
( ( Y != nil_char )
=> ~ ! [X212: char,X223: list_char] :
( Y
!= ( cons_char @ X212 @ X223 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(435,plain,
( ( ! [List: list_n282880152tr_b_c,X21: node_p1234578834tr_b_c,X222: list_n282880152tr_b_c] :
( ( List
= ( cons_n413985352tr_b_c @ X21 @ X222 ) )
=> ( List != nil_no279930520tr_b_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(436,plain,
( ( ! [List: list_char,X21: char,X222: list_char] :
( ( List
= ( cons_char @ X21 @ X222 ) )
=> ( List != nil_char ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(437,plain,
( ( ! [X21: node_p1234578834tr_b_c,X222: list_n282880152tr_b_c] :
( nil_no279930520tr_b_c
!= ( cons_n413985352tr_b_c @ X21 @ X222 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(438,plain,
( ( ! [X21: char,X222: list_char] :
( nil_char
!= ( cons_char @ X21 @ X222 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(439,plain,
( ( ! [X: list_l118626078tr_b_c] :
( ( X != nil_li198338206tr_b_c )
=> ( ! [Xss: list_l118626078tr_b_c] :
( X
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ Xss ) )
=> ~ ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Xss: list_l118626078tr_b_c] :
( X
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ Xss ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(440,plain,
( ( ! [X: list_list_char] :
( ( X != nil_list_char )
=> ( ! [Xss: list_list_char] :
( X
!= ( cons_list_char @ nil_char @ Xss ) )
=> ~ ! [X3: char,Xs2: list_char,Xss: list_list_char] :
( X
!= ( cons_list_char @ ( cons_char @ X3 @ Xs2 ) @ Xss ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(441,plain,
( ( ! [Y: node_p1234578834tr_b_c] :
( ( count_2128515342tr_b_c @ nil_no279930520tr_b_c @ Y )
= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(442,plain,
( ( ! [Y: char] :
( ( count_list_char @ nil_char @ Y )
= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(443,plain,
( ( ! [Ys: list_n282880152tr_b_c] :
( ( splice1294941035tr_b_c @ nil_no279930520tr_b_c @ Ys )
= Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(444,plain,
( ( ! [Ys: list_char] :
( ( splice_char @ nil_char @ Ys )
= Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(445,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( splice1294941035tr_b_c @ Xs @ nil_no279930520tr_b_c )
= Xs ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(446,plain,
( ( ! [Xs: list_char] :
( ( splice_char @ Xs @ nil_char )
= Xs ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(447,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ Xs @ Ys )
= nil_no279930520tr_b_c )
= ( ( Xs = nil_no279930520tr_b_c )
& ( Ys = nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(448,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( ( splice_char @ Xs @ Ys )
= nil_char )
= ( ( Xs = nil_char )
& ( Ys = nil_char ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(449,plain,
( ( ! [X: option2026120038on_j_k,P: option2026120038on_j_k > option2026120038on_j_k > $o,Y: option2026120038on_j_k] :
( ( ( X = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ! [A4: sum_su1221287958on_j_k,B4: sum_su1221287958on_j_k] :
( ( X
= ( some_S1960742641on_j_k @ A4 ) )
=> ( ( Y
= ( some_S1960742641on_j_k @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(450,plain,
( ( ! [X: option2026120038on_j_k,P: option2026120038on_j_k > option_element_ptr_a > $o,Y: option_element_ptr_a] :
( ( ( X = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ! [A4: sum_su1221287958on_j_k,B4: element_ptr_a] :
( ( X
= ( some_S1960742641on_j_k @ A4 ) )
=> ( ( Y
= ( some_element_ptr_a @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(451,plain,
( ( ! [X: option_element_ptr_a,P: option_element_ptr_a > option2026120038on_j_k > $o,Y: option2026120038on_j_k] :
( ( ( X = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ! [A4: element_ptr_a,B4: sum_su1221287958on_j_k] :
( ( X
= ( some_element_ptr_a @ A4 ) )
=> ( ( Y
= ( some_S1960742641on_j_k @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(452,plain,
( ( ! [X: option_element_ptr_a,P: option_element_ptr_a > option_element_ptr_a > $o,Y: option_element_ptr_a] :
( ( ( X = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ! [A4: element_ptr_a,B4: element_ptr_a] :
( ( X
= ( some_element_ptr_a @ A4 ) )
=> ( ( Y
= ( some_element_ptr_a @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(453,plain,
( ( ( ^ [P2: option2026120038on_j_k > $o] :
! [X5: option2026120038on_j_k] : ( P2 @ X5 ) )
= ( ^ [P3: option2026120038on_j_k > $o] :
( ( P3 @ none_S1393028981on_j_k )
& ! [X4: sum_su1221287958on_j_k] : ( P3 @ ( some_S1960742641on_j_k @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(454,plain,
( ( ( ^ [P2: option_element_ptr_a > $o] :
! [X5: option_element_ptr_a] : ( P2 @ X5 ) )
= ( ^ [P3: option_element_ptr_a > $o] :
( ( P3 @ none_element_ptr_a )
& ! [X4: element_ptr_a] : ( P3 @ ( some_element_ptr_a @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(455,plain,
( ( ( ^ [P2: option2026120038on_j_k > $o] :
? [X5: option2026120038on_j_k] : ( P2 @ X5 ) )
= ( ^ [P3: option2026120038on_j_k > $o] :
( ( P3 @ none_S1393028981on_j_k )
| ? [X4: sum_su1221287958on_j_k] : ( P3 @ ( some_S1960742641on_j_k @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(456,plain,
( ( ( ^ [P2: option_element_ptr_a > $o] :
? [X5: option_element_ptr_a] : ( P2 @ X5 ) )
= ( ^ [P3: option_element_ptr_a > $o] :
( ( P3 @ none_element_ptr_a )
| ? [X4: element_ptr_a] : ( P3 @ ( some_element_ptr_a @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(457,plain,
( ( ! [P: option2026120038on_j_k > $o,Option: option2026120038on_j_k] :
( ( P @ none_S1393028981on_j_k )
=> ( ! [X3: sum_su1221287958on_j_k] : ( P @ ( some_S1960742641on_j_k @ X3 ) )
=> ( P @ Option ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(458,plain,
( ( ! [P: option_element_ptr_a > $o,Option: option_element_ptr_a] :
( ( P @ none_element_ptr_a )
=> ( ! [X3: element_ptr_a] : ( P @ ( some_element_ptr_a @ X3 ) )
=> ( P @ Option ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(459,plain,
( ( ! [Y: option2026120038on_j_k] :
( ( Y != none_S1393028981on_j_k )
=> ~ ! [X22: sum_su1221287958on_j_k] :
( Y
!= ( some_S1960742641on_j_k @ X22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(460,plain,
( ( ! [Y: option_element_ptr_a] :
( ( Y != none_element_ptr_a )
=> ~ ! [X22: element_ptr_a] :
( Y
!= ( some_element_ptr_a @ X22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(461,plain,
( ( ! [Option: option2026120038on_j_k,X2: sum_su1221287958on_j_k] :
( ( Option
= ( some_S1960742641on_j_k @ X2 ) )
=> ( Option != none_S1393028981on_j_k ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(462,plain,
( ( ! [Option: option_element_ptr_a,X2: element_ptr_a] :
( ( Option
= ( some_element_ptr_a @ X2 ) )
=> ( Option != none_element_ptr_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(463,plain,
( ( ! [X2: sum_su1221287958on_j_k] :
( none_S1393028981on_j_k
!= ( some_S1960742641on_j_k @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(464,plain,
( ( ! [X2: element_ptr_a] :
( none_element_ptr_a
!= ( some_element_ptr_a @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(465,plain,
( ( ! [Obj: rObjec1413572695_j_k_l,Document2: rObjec1617416918on_j_k] :
( ( ( cast_O1034441233_j_k_l @ Obj )
= ( some_R67702331on_j_k @ Document2 ) )
= ( ( cast_D1252964113_h_i_l @ Document2 )
= Obj ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(466,plain,
( ( ! [Document2: rObjec1617416918on_j_k] :
( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ Document2 ) )
= ( some_R67702331on_j_k @ Document2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(467,plain,
( ( ! [X: option2026120038on_j_k] :
( ( X != none_S1393028981on_j_k )
= ( ? [Y4: sum_su1221287958on_j_k] :
( X
= ( some_S1960742641on_j_k @ Y4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(468,plain,
( ( ! [X: option_element_ptr_a] :
( ( X != none_element_ptr_a )
= ( ? [Y4: element_ptr_a] :
( X
= ( some_element_ptr_a @ Y4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(469,plain,
( ( ! [X: option2026120038on_j_k] :
( ( ! [Y4: sum_su1221287958on_j_k] :
( X
!= ( some_S1960742641on_j_k @ Y4 ) ) )
= ( X = none_S1393028981on_j_k ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(470,plain,
( ( ! [X: option_element_ptr_a] :
( ( ! [Y4: element_ptr_a] :
( X
!= ( some_element_ptr_a @ Y4 ) ) )
= ( X = none_element_ptr_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(471,plain,
( ( ! [N: nat] :
( ( gen_le955068453tr_b_c @ N @ nil_no279930520tr_b_c )
= N ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(472,plain,
( ( ! [N: nat] :
( ( gen_length_char @ N @ nil_char )
= N ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(473,plain,
( ( is_doc1417632087_j_k_l
= ( ^ [Ptr: rObjec1413572695_j_k_l] :
( ( cast_O1034441233_j_k_l @ Ptr )
!= none_R1587534007on_j_k ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(474,plain,
( ( ! [P: node_p1234578834tr_b_c > $o] :
~ ( list_e469495899tr_b_c @ P @ nil_no279930520tr_b_c ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(475,plain,
( ( ! [P: char > $o] :
~ ( list_ex1_char @ P @ nil_char ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(476,plain,
( ( ! [Obj: rObjec1413572695_j_k_l] :
( ( ( cast_O1034441233_j_k_l @ Obj )
= none_R1587534007on_j_k )
= ( ~ ? [Document: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ Document )
= Obj ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(477,plain,
( ( ! [X: sum_su1221287958on_j_k > nat] :
( ( size_o1777465779on_j_k @ X @ none_S1393028981on_j_k )
= ( suc @ zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(478,plain,
( ( ! [X: element_ptr_a > nat] :
( ( size_o1591053974_ptr_a @ X @ none_element_ptr_a )
= ( suc @ zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(479,plain,
( ( ! [Nothing: product_unit,More: rDocum326988203on_j_k] :
( ( nothin1567949605on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ More ) )
= Nothing ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(480,plain,
( ( ! [R: rObjec1617416918on_j_k] :
( R
= ( rObjec1303043984on_j_k @ ( nothin1567949605on_j_k @ R ) @ ( more_R1625109589on_j_k @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(481,plain,
( ( ( size_s2106487044tr_b_c @ nil_no279930520tr_b_c )
= zero_zero_nat )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(482,plain,
( ( ( size_size_list_char @ nil_char )
= zero_zero_nat )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(483,plain,
( ( ( size_s1129069050on_j_k @ none_S1393028981on_j_k )
= ( suc @ zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(484,plain,
( ( ( size_s1129684517_ptr_a @ none_element_ptr_a )
= ( suc @ zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(485,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ Xs )
= zero_zero_nat )
= ( Xs = nil_no279930520tr_b_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(486,plain,
( ( ! [Xs: list_char] :
( ( ( size_size_list_char @ Xs )
= zero_zero_nat )
= ( Xs = nil_char ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(487,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( nothin757132294on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Nothinga ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(488,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( doctyp814403297on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Doctype ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(489,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( docume1175131570on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Document_element ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(490,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( discon866287741on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Disconnected_nodes ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(491,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( more_c1453068134on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= More ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(492,plain,
( ( ! [More2: option2026120038on_j_k > option2026120038on_j_k,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( more_u1044474223_c_a_b @ More2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ ( More2 @ More ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(493,plain,
( ( ! [Nothing: product_unit,More: rDocum326988203on_j_k] :
( ( more_R1625109589on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ More ) )
= More ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(494,plain,
( ( ! [Disconnected_nodes2: list_n282880152tr_b_c > list_n282880152tr_b_c,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( discon442323090on_j_k @ Disconnected_nodes2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ ( Disconnected_nodes2 @ Disconnected_nodes ) @ More ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(495,plain,
( ( ! [Document_element2: option_element_ptr_a > option_element_ptr_a,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( docume244715269on_j_k @ Document_element2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ ( Document_element2 @ Document_element ) @ Disconnected_nodes @ More ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(496,plain,
( ( ! [Doctype2: list_char > list_char,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( doctyp68000440on_j_k @ Doctype2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ ( Doctype2 @ Doctype ) @ Document_element @ Disconnected_nodes @ More ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(497,plain,
( ( ! [Nothing2: product_unit > product_unit,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( nothin1105341917on_j_k @ Nothing2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ ( Nothing2 @ Nothinga ) @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(498,plain,
( ( ! [X: rObjec103300152t_unit] :
( ( rObjec730108904t_unit @ product_Unity @ ( more_Product_unit @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(499,plain,
( ( ! [X: rObjec1617416918on_j_k] :
( ( rObjec1303043984on_j_k @ product_Unity @ ( more_R1625109589on_j_k @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(500,plain,
( ( put_D_2126422573_h_i_l
= ( ^ [Document_ptr: docume1935157360tr_d_e,Document: rObjec1617416918on_j_k] : ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ Document_ptr ) @ ( cast_D1252964113_h_i_l @ Document ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(501,plain,
( ( ! [P: rDocum326988203on_j_k > $o,R: rDocum326988203on_j_k] :
( ! [Nothinga3: product_unit,Doctype3: list_char,Document_element3: option_element_ptr_a,Disconnected_nodes3: list_n282880152tr_b_c,More3: option2026120038on_j_k] : ( P @ ( rDocum427676485on_j_k @ Nothinga3 @ Doctype3 @ Document_element3 @ Disconnected_nodes3 @ More3 ) )
=> ( P @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(502,plain,
( ( ! [R: rObjec1617416918on_j_k] :
~ ! [Nothing3: product_unit,More3: rDocum326988203on_j_k] :
( R
!= ( rObjec1303043984on_j_k @ Nothing3 @ More3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(503,plain,
( ( ! [P: rObjec1617416918on_j_k > $o,R: rObjec1617416918on_j_k] :
( ! [Nothing3: product_unit,More3: rDocum326988203on_j_k] : ( P @ ( rObjec1303043984on_j_k @ Nothing3 @ More3 ) )
=> ( P @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(504,plain,
( ( ! [R: rObjec103300152t_unit] :
~ ! [Nothing3: product_unit] :
( R
!= ( rObjec730108904t_unit @ Nothing3 @ product_Unity ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(505,plain,
( ( ! [P: rObjec103300152t_unit > $o,R: rObjec103300152t_unit] :
( ! [Nothing3: product_unit] : ( P @ ( rObjec730108904t_unit @ Nothing3 @ product_Unity ) )
=> ( P @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(506,plain,
( ( ! [P: rObjec1617416918on_j_k > $o,R: rObjec1617416918on_j_k] :
( ! [Nothing3: product_unit,Nothinga3: product_unit,Doctype3: list_char,Document_element3: option_element_ptr_a,Disconnected_nodes3: list_n282880152tr_b_c,More3: option2026120038on_j_k] : ( P @ ( rObjec1303043984on_j_k @ Nothing3 @ ( rDocum427676485on_j_k @ Nothinga3 @ Doctype3 @ Document_element3 @ Disconnected_nodes3 @ More3 ) ) )
=> ( P @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(507,plain,
( ( ! [R: rObjec1617416918on_j_k] :
~ ! [Nothing3: product_unit,Nothinga3: product_unit,Doctype3: list_char,Document_element3: option_element_ptr_a,Disconnected_nodes3: list_n282880152tr_b_c,More3: option2026120038on_j_k] :
( R
!= ( rObjec1303043984on_j_k @ Nothing3 @ ( rDocum427676485on_j_k @ Nothinga3 @ Doctype3 @ Document_element3 @ Disconnected_nodes3 @ More3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(508,plain,
( ( ! [Nothing: product_unit,More: rDocum326988203on_j_k,Nothing2: product_unit,More2: rDocum326988203on_j_k] :
( ( ( rObjec1303043984on_j_k @ Nothing @ More )
= ( rObjec1303043984on_j_k @ Nothing2 @ More2 ) )
= ( ( Nothing = Nothing2 )
& ( More = More2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(509,plain,
( ( ! [Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k,Nothinga2: product_unit,Doctype2: list_char,Document_element2: option_element_ptr_a,Disconnected_nodes2: list_n282880152tr_b_c,More2: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More )
= ( rDocum427676485on_j_k @ Nothinga2 @ Doctype2 @ Document_element2 @ Disconnected_nodes2 @ More2 ) )
= ( ( Nothinga = Nothinga2 )
& ( Doctype = Doctype2 )
& ( Document_element = Document_element2 )
& ( Disconnected_nodes = Disconnected_nodes2 )
& ( More = More2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(510,plain,
( ( ! [X: rObjec1617416918on_j_k,Y: rObjec1617416918on_j_k] :
( ( ( cast_D1252964113_h_i_l @ X )
= ( cast_D1252964113_h_i_l @ Y ) )
= ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(511,plain,
( ( ~ ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[345]) ).
thf(512,plain,
( ( ! [X: rObjec1617416918on_j_k,Y: rObjec1617416918on_j_k] :
( ( ( cast_D1252964113_h_i_l @ X )
= ( cast_D1252964113_h_i_l @ Y ) )
= ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(513,plain,
( ( ! [Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k,Nothinga2: product_unit,Doctype2: list_char,Document_element2: option_element_ptr_a,Disconnected_nodes2: list_n282880152tr_b_c,More2: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More )
= ( rDocum427676485on_j_k @ Nothinga2 @ Doctype2 @ Document_element2 @ Disconnected_nodes2 @ More2 ) )
= ( ( Nothinga = Nothinga2 )
& ( Doctype = Doctype2 )
& ( Document_element = Document_element2 )
& ( Disconnected_nodes = Disconnected_nodes2 )
& ( More = More2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(514,plain,
( ( ! [Nothing: product_unit,More: rDocum326988203on_j_k,Nothing2: product_unit,More2: rDocum326988203on_j_k] :
( ( ( rObjec1303043984on_j_k @ Nothing @ More )
= ( rObjec1303043984on_j_k @ Nothing2 @ More2 ) )
= ( ( Nothing = Nothing2 )
& ( More = More2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[508]) ).
thf(515,plain,
( ( ! [R: rObjec1617416918on_j_k] :
~ ! [Nothing3: product_unit,Nothinga3: product_unit,Doctype3: list_char,Document_element3: option_element_ptr_a,Disconnected_nodes3: list_n282880152tr_b_c,More3: option2026120038on_j_k] :
( R
!= ( rObjec1303043984on_j_k @ Nothing3 @ ( rDocum427676485on_j_k @ Nothinga3 @ Doctype3 @ Document_element3 @ Disconnected_nodes3 @ More3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(516,plain,
( ( ! [P: rObjec1617416918on_j_k > $o,R: rObjec1617416918on_j_k] :
( ! [Nothing3: product_unit,Nothinga3: product_unit,Doctype3: list_char,Document_element3: option_element_ptr_a,Disconnected_nodes3: list_n282880152tr_b_c,More3: option2026120038on_j_k] : ( P @ ( rObjec1303043984on_j_k @ Nothing3 @ ( rDocum427676485on_j_k @ Nothinga3 @ Doctype3 @ Document_element3 @ Disconnected_nodes3 @ More3 ) ) )
=> ( P @ R ) ) )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(517,plain,
( ( ! [P: rObjec103300152t_unit > $o,R: rObjec103300152t_unit] :
( ! [Nothing3: product_unit] : ( P @ ( rObjec730108904t_unit @ Nothing3 @ product_Unity ) )
=> ( P @ R ) ) )
= $true ),
inference(copy,[status(thm)],[505]) ).
thf(518,plain,
( ( ! [R: rObjec103300152t_unit] :
~ ! [Nothing3: product_unit] :
( R
!= ( rObjec730108904t_unit @ Nothing3 @ product_Unity ) ) )
= $true ),
inference(copy,[status(thm)],[504]) ).
thf(519,plain,
( ( ! [P: rObjec1617416918on_j_k > $o,R: rObjec1617416918on_j_k] :
( ! [Nothing3: product_unit,More3: rDocum326988203on_j_k] : ( P @ ( rObjec1303043984on_j_k @ Nothing3 @ More3 ) )
=> ( P @ R ) ) )
= $true ),
inference(copy,[status(thm)],[503]) ).
thf(520,plain,
( ( ! [R: rObjec1617416918on_j_k] :
~ ! [Nothing3: product_unit,More3: rDocum326988203on_j_k] :
( R
!= ( rObjec1303043984on_j_k @ Nothing3 @ More3 ) ) )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(521,plain,
( ( ! [P: rDocum326988203on_j_k > $o,R: rDocum326988203on_j_k] :
( ! [Nothinga3: product_unit,Doctype3: list_char,Document_element3: option_element_ptr_a,Disconnected_nodes3: list_n282880152tr_b_c,More3: option2026120038on_j_k] : ( P @ ( rDocum427676485on_j_k @ Nothinga3 @ Doctype3 @ Document_element3 @ Disconnected_nodes3 @ More3 ) )
=> ( P @ R ) ) )
= $true ),
inference(copy,[status(thm)],[501]) ).
thf(522,plain,
( ( put_D_2126422573_h_i_l
= ( ^ [Document_ptr: docume1935157360tr_d_e,Document: rObjec1617416918on_j_k] : ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ Document_ptr ) @ ( cast_D1252964113_h_i_l @ Document ) ) ) )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(523,plain,
( ( ! [X: rObjec1617416918on_j_k] :
( ( rObjec1303043984on_j_k @ product_Unity @ ( more_R1625109589on_j_k @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(524,plain,
( ( ! [X: rObjec103300152t_unit] :
( ( rObjec730108904t_unit @ product_Unity @ ( more_Product_unit @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(525,plain,
( ( ! [Nothing2: product_unit > product_unit,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( nothin1105341917on_j_k @ Nothing2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ ( Nothing2 @ Nothinga ) @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) ) )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(526,plain,
( ( ! [Doctype2: list_char > list_char,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( doctyp68000440on_j_k @ Doctype2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ ( Doctype2 @ Doctype ) @ Document_element @ Disconnected_nodes @ More ) ) ) )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(527,plain,
( ( ! [Document_element2: option_element_ptr_a > option_element_ptr_a,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( docume244715269on_j_k @ Document_element2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ ( Document_element2 @ Document_element ) @ Disconnected_nodes @ More ) ) ) )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(528,plain,
( ( ! [Disconnected_nodes2: list_n282880152tr_b_c > list_n282880152tr_b_c,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( discon442323090on_j_k @ Disconnected_nodes2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ ( Disconnected_nodes2 @ Disconnected_nodes ) @ More ) ) ) )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(529,plain,
( ( ! [Nothing: product_unit,More: rDocum326988203on_j_k] :
( ( more_R1625109589on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ More ) )
= More ) )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(530,plain,
( ( ! [More2: option2026120038on_j_k > option2026120038on_j_k,Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( more_u1044474223_c_a_b @ More2 @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ ( More2 @ More ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(531,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( more_c1453068134on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= More ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(532,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( discon866287741on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Disconnected_nodes ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(533,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( docume1175131570on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Document_element ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(534,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( doctyp814403297on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Doctype ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(535,plain,
( ( ! [Nothing: product_unit,Nothinga: product_unit,Doctype: list_char,Document_element: option_element_ptr_a,Disconnected_nodes: list_n282880152tr_b_c,More: option2026120038on_j_k] :
( ( nothin757132294on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ ( rDocum427676485on_j_k @ Nothinga @ Doctype @ Document_element @ Disconnected_nodes @ More ) ) )
= Nothinga ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(536,plain,
( ( ! [Xs: list_char] :
( ( ( size_size_list_char @ Xs )
= zero_zero_nat )
= ( Xs = nil_char ) ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(537,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ Xs )
= zero_zero_nat )
= ( Xs = nil_no279930520tr_b_c ) ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(538,plain,
( ( ( size_s1129684517_ptr_a @ none_element_ptr_a )
= ( suc @ zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(539,plain,
( ( ( size_s1129069050on_j_k @ none_S1393028981on_j_k )
= ( suc @ zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(540,plain,
( ( ( size_size_list_char @ nil_char )
= zero_zero_nat )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(541,plain,
( ( ( size_s2106487044tr_b_c @ nil_no279930520tr_b_c )
= zero_zero_nat )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(542,plain,
( ( ! [R: rObjec1617416918on_j_k] :
( R
= ( rObjec1303043984on_j_k @ ( nothin1567949605on_j_k @ R ) @ ( more_R1625109589on_j_k @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(543,plain,
( ( ! [Nothing: product_unit,More: rDocum326988203on_j_k] :
( ( nothin1567949605on_j_k @ ( rObjec1303043984on_j_k @ Nothing @ More ) )
= Nothing ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(544,plain,
( ( ! [X: element_ptr_a > nat] :
( ( size_o1591053974_ptr_a @ X @ none_element_ptr_a )
= ( suc @ zero_zero_nat ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(545,plain,
( ( ! [X: sum_su1221287958on_j_k > nat] :
( ( size_o1777465779on_j_k @ X @ none_S1393028981on_j_k )
= ( suc @ zero_zero_nat ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(546,plain,
( ( ! [Obj: rObjec1413572695_j_k_l] :
( ( ( cast_O1034441233_j_k_l @ Obj )
= none_R1587534007on_j_k )
= ( ~ ? [Document: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ Document )
= Obj ) ) ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(547,plain,
( ( ! [P: char > $o] :
~ ( list_ex1_char @ P @ nil_char ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(548,plain,
( ( ! [P: node_p1234578834tr_b_c > $o] :
~ ( list_e469495899tr_b_c @ P @ nil_no279930520tr_b_c ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(549,plain,
( ( is_doc1417632087_j_k_l
= ( ^ [Ptr: rObjec1413572695_j_k_l] :
( ( cast_O1034441233_j_k_l @ Ptr )
!= none_R1587534007on_j_k ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(550,plain,
( ( ! [N: nat] :
( ( gen_length_char @ N @ nil_char )
= N ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(551,plain,
( ( ! [N: nat] :
( ( gen_le955068453tr_b_c @ N @ nil_no279930520tr_b_c )
= N ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(552,plain,
( ( ! [X: option_element_ptr_a] :
( ( ! [Y4: element_ptr_a] :
( X
!= ( some_element_ptr_a @ Y4 ) ) )
= ( X = none_element_ptr_a ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(553,plain,
( ( ! [X: option2026120038on_j_k] :
( ( ! [Y4: sum_su1221287958on_j_k] :
( X
!= ( some_S1960742641on_j_k @ Y4 ) ) )
= ( X = none_S1393028981on_j_k ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(554,plain,
( ( ! [X: option_element_ptr_a] :
( ( X != none_element_ptr_a )
= ( ? [Y4: element_ptr_a] :
( X
= ( some_element_ptr_a @ Y4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(555,plain,
( ( ! [X: option2026120038on_j_k] :
( ( X != none_S1393028981on_j_k )
= ( ? [Y4: sum_su1221287958on_j_k] :
( X
= ( some_S1960742641on_j_k @ Y4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(556,plain,
( ( ! [Document2: rObjec1617416918on_j_k] :
( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ Document2 ) )
= ( some_R67702331on_j_k @ Document2 ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(557,plain,
( ( ! [Obj: rObjec1413572695_j_k_l,Document2: rObjec1617416918on_j_k] :
( ( ( cast_O1034441233_j_k_l @ Obj )
= ( some_R67702331on_j_k @ Document2 ) )
= ( ( cast_D1252964113_h_i_l @ Document2 )
= Obj ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(558,plain,
( ( ! [X2: element_ptr_a] :
( none_element_ptr_a
!= ( some_element_ptr_a @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(559,plain,
( ( ! [X2: sum_su1221287958on_j_k] :
( none_S1393028981on_j_k
!= ( some_S1960742641on_j_k @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(560,plain,
( ( ! [Option: option_element_ptr_a,X2: element_ptr_a] :
( ( Option
= ( some_element_ptr_a @ X2 ) )
=> ( Option != none_element_ptr_a ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(561,plain,
( ( ! [Option: option2026120038on_j_k,X2: sum_su1221287958on_j_k] :
( ( Option
= ( some_S1960742641on_j_k @ X2 ) )
=> ( Option != none_S1393028981on_j_k ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(562,plain,
( ( ! [Y: option_element_ptr_a] :
( ( Y != none_element_ptr_a )
=> ~ ! [X22: element_ptr_a] :
( Y
!= ( some_element_ptr_a @ X22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(563,plain,
( ( ! [Y: option2026120038on_j_k] :
( ( Y != none_S1393028981on_j_k )
=> ~ ! [X22: sum_su1221287958on_j_k] :
( Y
!= ( some_S1960742641on_j_k @ X22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(564,plain,
( ( ! [P: option_element_ptr_a > $o,Option: option_element_ptr_a] :
( ( P @ none_element_ptr_a )
=> ( ! [X3: element_ptr_a] : ( P @ ( some_element_ptr_a @ X3 ) )
=> ( P @ Option ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(565,plain,
( ( ! [P: option2026120038on_j_k > $o,Option: option2026120038on_j_k] :
( ( P @ none_S1393028981on_j_k )
=> ( ! [X3: sum_su1221287958on_j_k] : ( P @ ( some_S1960742641on_j_k @ X3 ) )
=> ( P @ Option ) ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(566,plain,
( ( ( ^ [P2: option_element_ptr_a > $o] :
? [X5: option_element_ptr_a] : ( P2 @ X5 ) )
= ( ^ [P3: option_element_ptr_a > $o] :
( ( P3 @ none_element_ptr_a )
| ? [X4: element_ptr_a] : ( P3 @ ( some_element_ptr_a @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(567,plain,
( ( ( ^ [P2: option2026120038on_j_k > $o] :
? [X5: option2026120038on_j_k] : ( P2 @ X5 ) )
= ( ^ [P3: option2026120038on_j_k > $o] :
( ( P3 @ none_S1393028981on_j_k )
| ? [X4: sum_su1221287958on_j_k] : ( P3 @ ( some_S1960742641on_j_k @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(568,plain,
( ( ( ^ [P2: option_element_ptr_a > $o] :
! [X5: option_element_ptr_a] : ( P2 @ X5 ) )
= ( ^ [P3: option_element_ptr_a > $o] :
( ( P3 @ none_element_ptr_a )
& ! [X4: element_ptr_a] : ( P3 @ ( some_element_ptr_a @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(569,plain,
( ( ( ^ [P2: option2026120038on_j_k > $o] :
! [X5: option2026120038on_j_k] : ( P2 @ X5 ) )
= ( ^ [P3: option2026120038on_j_k > $o] :
( ( P3 @ none_S1393028981on_j_k )
& ! [X4: sum_su1221287958on_j_k] : ( P3 @ ( some_S1960742641on_j_k @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(570,plain,
( ( ! [X: option_element_ptr_a,P: option_element_ptr_a > option_element_ptr_a > $o,Y: option_element_ptr_a] :
( ( ( X = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ! [A4: element_ptr_a,B4: element_ptr_a] :
( ( X
= ( some_element_ptr_a @ A4 ) )
=> ( ( Y
= ( some_element_ptr_a @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(571,plain,
( ( ! [X: option_element_ptr_a,P: option_element_ptr_a > option2026120038on_j_k > $o,Y: option2026120038on_j_k] :
( ( ( X = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ! [A4: element_ptr_a,B4: sum_su1221287958on_j_k] :
( ( X
= ( some_element_ptr_a @ A4 ) )
=> ( ( Y
= ( some_S1960742641on_j_k @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(572,plain,
( ( ! [X: option2026120038on_j_k,P: option2026120038on_j_k > option_element_ptr_a > $o,Y: option_element_ptr_a] :
( ( ( X = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_element_ptr_a )
=> ( P @ X @ Y ) )
=> ( ! [A4: sum_su1221287958on_j_k,B4: element_ptr_a] :
( ( X
= ( some_S1960742641on_j_k @ A4 ) )
=> ( ( Y
= ( some_element_ptr_a @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(573,plain,
( ( ! [X: option2026120038on_j_k,P: option2026120038on_j_k > option2026120038on_j_k > $o,Y: option2026120038on_j_k] :
( ( ( X = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ( ( Y = none_S1393028981on_j_k )
=> ( P @ X @ Y ) )
=> ( ! [A4: sum_su1221287958on_j_k,B4: sum_su1221287958on_j_k] :
( ( X
= ( some_S1960742641on_j_k @ A4 ) )
=> ( ( Y
= ( some_S1960742641on_j_k @ B4 ) )
=> ( P @ X @ Y ) ) )
=> ( P @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(574,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( ( splice_char @ Xs @ Ys )
= nil_char )
= ( ( Xs = nil_char )
& ( Ys = nil_char ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(575,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ Xs @ Ys )
= nil_no279930520tr_b_c )
= ( ( Xs = nil_no279930520tr_b_c )
& ( Ys = nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(576,plain,
( ( ! [Xs: list_char] :
( ( splice_char @ Xs @ nil_char )
= Xs ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(577,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( splice1294941035tr_b_c @ Xs @ nil_no279930520tr_b_c )
= Xs ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(578,plain,
( ( ! [Ys: list_char] :
( ( splice_char @ nil_char @ Ys )
= Ys ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(579,plain,
( ( ! [Ys: list_n282880152tr_b_c] :
( ( splice1294941035tr_b_c @ nil_no279930520tr_b_c @ Ys )
= Ys ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(580,plain,
( ( ! [Y: char] :
( ( count_list_char @ nil_char @ Y )
= zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(581,plain,
( ( ! [Y: node_p1234578834tr_b_c] :
( ( count_2128515342tr_b_c @ nil_no279930520tr_b_c @ Y )
= zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(582,plain,
( ( ! [X: list_list_char] :
( ( X != nil_list_char )
=> ( ! [Xss: list_list_char] :
( X
!= ( cons_list_char @ nil_char @ Xss ) )
=> ~ ! [X3: char,Xs2: list_char,Xss: list_list_char] :
( X
!= ( cons_list_char @ ( cons_char @ X3 @ Xs2 ) @ Xss ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(583,plain,
( ( ! [X: list_l118626078tr_b_c] :
( ( X != nil_li198338206tr_b_c )
=> ( ! [Xss: list_l118626078tr_b_c] :
( X
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ Xss ) )
=> ~ ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Xss: list_l118626078tr_b_c] :
( X
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ Xss ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(584,plain,
( ( ! [X21: char,X222: list_char] :
( nil_char
!= ( cons_char @ X21 @ X222 ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(585,plain,
( ( ! [X21: node_p1234578834tr_b_c,X222: list_n282880152tr_b_c] :
( nil_no279930520tr_b_c
!= ( cons_n413985352tr_b_c @ X21 @ X222 ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(586,plain,
( ( ! [List: list_char,X21: char,X222: list_char] :
( ( List
= ( cons_char @ X21 @ X222 ) )
=> ( List != nil_char ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(587,plain,
( ( ! [List: list_n282880152tr_b_c,X21: node_p1234578834tr_b_c,X222: list_n282880152tr_b_c] :
( ( List
= ( cons_n413985352tr_b_c @ X21 @ X222 ) )
=> ( List != nil_no279930520tr_b_c ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(588,plain,
( ( ! [Y: list_char] :
( ( Y != nil_char )
=> ~ ! [X212: char,X223: list_char] :
( Y
!= ( cons_char @ X212 @ X223 ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(589,plain,
( ( ! [Y: list_n282880152tr_b_c] :
( ( Y != nil_no279930520tr_b_c )
=> ~ ! [X212: node_p1234578834tr_b_c,X223: list_n282880152tr_b_c] :
( Y
!= ( cons_n413985352tr_b_c @ X212 @ X223 ) ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(590,plain,
( ( ! [P: list_char > $o,List: list_char] :
( ( P @ nil_char )
=> ( ! [X12: char,X22: list_char] :
( ( P @ X22 )
=> ( P @ ( cons_char @ X12 @ X22 ) ) )
=> ( P @ List ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(591,plain,
( ( ! [P: list_n282880152tr_b_c > $o,List: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X12: node_p1234578834tr_b_c,X22: list_n282880152tr_b_c] :
( ( P @ X22 )
=> ( P @ ( cons_n413985352tr_b_c @ X12 @ X22 ) ) )
=> ( P @ List ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(592,plain,
( ( ! [Xs: list_char] :
( ( Xs != nil_char )
= ( ? [Y4: char,Ys2: list_char] :
( Xs
= ( cons_char @ Y4 @ Ys2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(593,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( Xs != nil_no279930520tr_b_c )
= ( ? [Y4: node_p1234578834tr_b_c,Ys2: list_n282880152tr_b_c] :
( Xs
= ( cons_n413985352tr_b_c @ Y4 @ Ys2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(594,plain,
( ( ! [P: list_char > list_char > $o,Xs: list_char,Ys: list_char] :
( ( P @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char] : ( P @ ( cons_char @ X3 @ Xs2 ) @ nil_char )
=> ( ! [Y3: char,Ys3: list_char] : ( P @ nil_char @ ( cons_char @ Y3 @ Ys3 ) )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(595,plain,
( ( ! [P: list_char > list_n282880152tr_b_c > $o,Xs: list_char,Ys: list_n282880152tr_b_c] :
( ( P @ nil_char @ nil_no279930520tr_b_c )
=> ( ! [X3: char,Xs2: list_char] : ( P @ ( cons_char @ X3 @ Xs2 ) @ nil_no279930520tr_b_c )
=> ( ! [Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] : ( P @ nil_char @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) )
=> ( ! [X3: char,Xs2: list_char,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(596,plain,
( ( ! [P: list_n282880152tr_b_c > list_char > $o,Xs: list_n282880152tr_b_c,Ys: list_char] :
( ( P @ nil_no279930520tr_b_c @ nil_char )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ nil_char )
=> ( ! [Y3: char,Ys3: list_char] : ( P @ nil_no279930520tr_b_c @ ( cons_char @ Y3 @ Ys3 ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: char,Ys3: list_char] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(597,plain,
( ( ! [P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ nil_no279930520tr_b_c )
=> ( ! [Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] : ( P @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) )
=> ( P @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(598,plain,
( ( ! [P: list_char > list_char > $o,A0: list_char,A1: list_char] :
( ! [X_12: list_char] : ( P @ nil_char @ X_12 )
=> ( ! [X3: char,Xs2: list_char,Ys3: list_char] :
( ( P @ Ys3 @ Xs2 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ Ys3 ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(599,plain,
( ( ! [P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,A0: list_n282880152tr_b_c,A1: list_n282880152tr_b_c] :
( ! [X_12: list_n282880152tr_b_c] : ( P @ nil_no279930520tr_b_c @ X_12 )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Ys3 @ Xs2 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ Ys3 ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(600,plain,
( ( ! [P: list_char > $o,Xs: list_char] :
( ( P @ nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Y3: char,Zs: list_char] :
( ( P @ Zs )
=> ( ( P @ ( cons_char @ Y3 @ Zs ) )
=> ( P @ ( cons_char @ X3 @ ( cons_char @ Y3 @ Zs ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(601,plain,
( ( ! [P: list_n282880152tr_b_c > $o,Xs: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Zs: list_n282880152tr_b_c] :
( ( P @ Zs )
=> ( ( P @ ( cons_n413985352tr_b_c @ Y3 @ Zs ) )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Zs ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(602,plain,
( ( ! [P: list_char > list_char > $o,A0: list_char,A1: list_char] :
( ! [X_12: list_char] : ( P @ nil_char @ X_12 )
=> ( ! [Xs2: list_char] : ( P @ Xs2 @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char] :
( ( P @ Xs2 @ ( cons_char @ Y3 @ Ys3 ) )
=> ( ( P @ ( cons_char @ X3 @ Xs2 ) @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(603,plain,
( ( ! [P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,A0: list_n282880152tr_b_c,A1: list_n282880152tr_b_c] :
( ! [X_12: list_n282880152tr_b_c] : ( P @ nil_no279930520tr_b_c @ X_12 )
=> ( ! [Xs2: list_n282880152tr_b_c] : ( P @ Xs2 @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ Xs2 @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) )
=> ( ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(604,plain,
( ( ! [X: list_char] :
( ( X != nil_char )
=> ( ! [X3: char] :
( X
!= ( cons_char @ X3 @ nil_char ) )
=> ~ ! [X3: char,Y3: char,Xs2: list_char] :
( X
!= ( cons_char @ X3 @ ( cons_char @ Y3 @ Xs2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(605,plain,
( ( ! [X: list_n282880152tr_b_c] :
( ( X != nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] :
( X
!= ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ~ ! [X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( X
!= ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(606,plain,
( ( ! [P: ( char > char > $o ) > list_char > $o,A0: char > char > $o,A1: list_char] :
( ! [P4: char > char > $o] : ( P @ P4 @ nil_char )
=> ( ! [P4: char > char > $o,X3: char,Ys3: list_char] :
( ( P @ P4 @ Ys3 )
=> ( P @ P4 @ ( cons_char @ X3 @ Ys3 ) ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(607,plain,
( ( ! [P: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o,A0: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,A1: list_n282880152tr_b_c] :
( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( P @ P4 @ nil_no279930520tr_b_c )
=> ( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,X3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( P @ P4 @ Ys3 )
=> ( P @ P4 @ ( cons_n413985352tr_b_c @ X3 @ Ys3 ) ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(608,plain,
( ( ! [P: list_char > $o,A0: list_char] :
( ( P @ nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Y3: char,Xs2: list_char] :
( ( ( X3 = Y3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) ) )
=> ( ( ( X3 != Y3 )
=> ( P @ ( cons_char @ Y3 @ Xs2 ) ) )
=> ( P @ ( cons_char @ X3 @ ( cons_char @ Y3 @ Xs2 ) ) ) ) )
=> ( P @ A0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(609,plain,
( ( ! [P: list_n282880152tr_b_c > $o,A0: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( ( X3 = Y3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) ) )
=> ( ( ( X3 != Y3 )
=> ( P @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) ) ) )
=> ( P @ A0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(610,plain,
( ( ! [P: ( char > char > $o ) > list_char > $o,A0: char > char > $o,A1: list_char] :
( ! [P4: char > char > $o] : ( P @ P4 @ nil_char )
=> ( ! [P4: char > char > $o,X3: char] : ( P @ P4 @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [P4: char > char > $o,X3: char,Y3: char,Xs2: list_char] :
( ( P @ P4 @ ( cons_char @ Y3 @ Xs2 ) )
=> ( P @ P4 @ ( cons_char @ X3 @ ( cons_char @ Y3 @ Xs2 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(611,plain,
( ( ! [P: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o,A0: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,A1: list_n282880152tr_b_c] :
( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( P @ P4 @ nil_no279930520tr_b_c )
=> ( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,X3: node_p1234578834tr_b_c] : ( P @ P4 @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [P4: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,X3: node_p1234578834tr_b_c,Y3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( P @ P4 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) )
=> ( P @ P4 @ ( cons_n413985352tr_b_c @ X3 @ ( cons_n413985352tr_b_c @ Y3 @ Xs2 ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(612,plain,
( ( ! [Xs: list_char,P: list_char > $o] :
( ( Xs != nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Xs2: list_char] :
( ( Xs2 != nil_char )
=> ( ( P @ Xs2 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(613,plain,
( ( ! [Xs: list_n282880152tr_b_c,P: list_n282880152tr_b_c > $o] :
( ( Xs != nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( Xs2 != nil_no279930520tr_b_c )
=> ( ( P @ Xs2 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(614,plain,
( ( ! [Xs: list_char,Ys: list_char,Zs2: list_char,Ws: list_char,P: list_char > list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ Xs )
= ( size_size_list_char @ Ys ) )
=> ( ( ( size_size_list_char @ Ys )
= ( size_size_list_char @ Zs2 ) )
=> ( ( ( size_size_list_char @ Zs2 )
= ( size_size_list_char @ Ws ) )
=> ( ( P @ nil_char @ nil_char @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char,Z: char,Zs: list_char,W: char,Ws2: list_char] :
( ( ( size_size_list_char @ Xs2 )
= ( size_size_list_char @ Ys3 ) )
=> ( ( ( size_size_list_char @ Ys3 )
= ( size_size_list_char @ Zs ) )
=> ( ( ( size_size_list_char @ Zs )
= ( size_size_list_char @ Ws2 ) )
=> ( ( P @ Xs2 @ Ys3 @ Zs @ Ws2 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) @ ( cons_char @ Z @ Zs ) @ ( cons_char @ W @ Ws2 ) ) ) ) ) )
=> ( P @ Xs @ Ys @ Zs2 @ Ws ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(615,plain,
( ( ! [Xs: list_char,Ys: list_char,Zs2: list_char,P: list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ Xs )
= ( size_size_list_char @ Ys ) )
=> ( ( ( size_size_list_char @ Ys )
= ( size_size_list_char @ Zs2 ) )
=> ( ( P @ nil_char @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char,Z: char,Zs: list_char] :
( ( ( size_size_list_char @ Xs2 )
= ( size_size_list_char @ Ys3 ) )
=> ( ( ( size_size_list_char @ Ys3 )
= ( size_size_list_char @ Zs ) )
=> ( ( P @ Xs2 @ Ys3 @ Zs )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) @ ( cons_char @ Z @ Zs ) ) ) ) )
=> ( P @ Xs @ Ys @ Zs2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(616,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c,Zs2: list_n282880152tr_b_c,P: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ Xs )
= ( size_s2106487044tr_b_c @ Ys ) )
=> ( ( ( size_s2106487044tr_b_c @ Ys )
= ( size_s2106487044tr_b_c @ Zs2 ) )
=> ( ( P @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c,Z: node_p1234578834tr_b_c,Zs: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ Xs2 )
= ( size_s2106487044tr_b_c @ Ys3 ) )
=> ( ( ( size_s2106487044tr_b_c @ Ys3 )
= ( size_s2106487044tr_b_c @ Zs ) )
=> ( ( P @ Xs2 @ Ys3 @ Zs )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) @ ( cons_n413985352tr_b_c @ Z @ Zs ) ) ) ) )
=> ( P @ Xs @ Ys @ Zs2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(617,plain,
( ( ! [Xs: list_char,Ys: list_char,P: list_char > list_char > $o] :
( ( ( size_size_list_char @ Xs )
= ( size_size_list_char @ Ys ) )
=> ( ( P @ nil_char @ nil_char )
=> ( ! [X3: char,Xs2: list_char,Y3: char,Ys3: list_char] :
( ( ( size_size_list_char @ Xs2 )
= ( size_size_list_char @ Ys3 ) )
=> ( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_char @ X3 @ Xs2 ) @ ( cons_char @ Y3 @ Ys3 ) ) ) )
=> ( P @ Xs @ Ys ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(618,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c,P: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ Xs )
= ( size_s2106487044tr_b_c @ Ys ) )
=> ( ( P @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c,Ys3: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ Xs2 )
= ( size_s2106487044tr_b_c @ Ys3 ) )
=> ( ( P @ Xs2 @ Ys3 )
=> ( P @ ( cons_n413985352tr_b_c @ X3 @ Xs2 ) @ ( cons_n413985352tr_b_c @ Y3 @ Ys3 ) ) ) )
=> ( P @ Xs @ Ys ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(619,plain,
( ( ! [X: list_char,Xa: list_char,Y: list_char] :
( ( ( splice_char @ X @ Xa )
= Y )
=> ( ( ( X = nil_char )
=> ( Y != Xa ) )
=> ~ ! [X3: char,Xs2: list_char] :
( ( X
= ( cons_char @ X3 @ Xs2 ) )
=> ( Y
!= ( cons_char @ X3 @ ( splice_char @ Xa @ Xs2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(620,plain,
( ( ! [X: list_n282880152tr_b_c,Xa: list_n282880152tr_b_c,Y: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ X @ Xa )
= Y )
=> ( ( ( X = nil_no279930520tr_b_c )
=> ( Y != Xa ) )
=> ~ ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( X
= ( cons_n413985352tr_b_c @ X3 @ Xs2 ) )
=> ( Y
!= ( cons_n413985352tr_b_c @ X3 @ ( splice1294941035tr_b_c @ Xa @ Xs2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(621,plain,
( ( ( product_lists_char @ nil_list_char )
= ( cons_list_char @ nil_char @ nil_list_char ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(622,plain,
( ( ( produc1509350401tr_b_c @ nil_li198338206tr_b_c )
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ nil_li198338206tr_b_c ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(623,plain,
( ( ( subseqs_char @ nil_char )
= ( cons_list_char @ nil_char @ nil_list_char ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(624,plain,
( ( ( subseq1828679783tr_b_c @ nil_no279930520tr_b_c )
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ nil_li198338206tr_b_c ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(625,plain,
( ( ! [X: char] :
( ( insert_char @ X @ nil_char )
= ( cons_char @ X @ nil_char ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(626,plain,
( ( ! [X: node_p1234578834tr_b_c] :
( ( insert678865070tr_b_c @ X @ nil_no279930520tr_b_c )
= ( cons_n413985352tr_b_c @ X @ nil_no279930520tr_b_c ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(627,plain,
( ( ! [A2: set_nat] :
( ( nths_char @ nil_char @ A2 )
= nil_char ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(628,plain,
( ( ! [A2: set_nat] :
( ( nths_n1256675478tr_b_c @ nil_no279930520tr_b_c @ A2 )
= nil_no279930520tr_b_c ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(629,plain,
( ( ! [Xs: list_char] :
( ( nths_char @ Xs @ bot_bot_set_nat )
= nil_char ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(630,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( nths_n1256675478tr_b_c @ Xs @ bot_bot_set_nat )
= nil_no279930520tr_b_c ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(631,plain,
( ( ! [P: option_element_ptr_a > $o,M2: option_element_ptr_a,F: element_ptr_a > option_element_ptr_a] :
( ( P @ ( bind_e22036734_ptr_a @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_element_ptr_a )
& ~ ( P @ none_element_ptr_a ) )
| ? [X4: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(632,plain,
( ( ! [P: option2026120038on_j_k > $o,M2: option_element_ptr_a,F: element_ptr_a > option2026120038on_j_k] :
( ( P @ ( bind_e1012152651on_j_k @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_element_ptr_a )
& ~ ( P @ none_S1393028981on_j_k ) )
| ? [X4: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(633,plain,
( ( ! [P: option_element_ptr_a > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( P @ ( bind_S287509021_ptr_a @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_S1393028981on_j_k )
& ~ ( P @ none_element_ptr_a ) )
| ? [X4: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(634,plain,
( ( ! [P: option2026120038on_j_k > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( P @ ( bind_S607117548on_j_k @ M2 @ F ) )
= ( ~ ( ( ( M2 = none_S1393028981on_j_k )
& ~ ( P @ none_S1393028981on_j_k ) )
| ? [X4: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ X4 ) )
& ~ ( P @ ( F @ X4 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(635,plain,
( ( ! [P: option_element_ptr_a > $o,M2: option_element_ptr_a,F: element_ptr_a > option_element_ptr_a] :
( ( P @ ( bind_e22036734_ptr_a @ M2 @ F ) )
= ( ( ( M2 = none_element_ptr_a )
=> ( P @ none_element_ptr_a ) )
& ! [V3: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(636,plain,
( ( ! [P: option2026120038on_j_k > $o,M2: option_element_ptr_a,F: element_ptr_a > option2026120038on_j_k] :
( ( P @ ( bind_e1012152651on_j_k @ M2 @ F ) )
= ( ( ( M2 = none_element_ptr_a )
=> ( P @ none_S1393028981on_j_k ) )
& ! [V3: element_ptr_a] :
( ( M2
= ( some_element_ptr_a @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(637,plain,
( ( ! [P: option_element_ptr_a > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( P @ ( bind_S287509021_ptr_a @ M2 @ F ) )
= ( ( ( M2 = none_S1393028981on_j_k )
=> ( P @ none_element_ptr_a ) )
& ! [V3: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(638,plain,
( ( ! [P: option2026120038on_j_k > $o,M2: option2026120038on_j_k,F: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( P @ ( bind_S607117548on_j_k @ M2 @ F ) )
= ( ( ( M2 = none_S1393028981on_j_k )
=> ( P @ none_S1393028981on_j_k ) )
& ! [V3: sum_su1221287958on_j_k] :
( ( M2
= ( some_S1960742641on_j_k @ V3 ) )
=> ( P @ ( F @ V3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(639,plain,
( ( ! [F: element_ptr_a > option_element_ptr_a] :
( ( bind_e22036734_ptr_a @ none_element_ptr_a @ F )
= none_element_ptr_a ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(640,plain,
( ( ! [F: element_ptr_a > option2026120038on_j_k] :
( ( bind_e1012152651on_j_k @ none_element_ptr_a @ F )
= none_S1393028981on_j_k ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(641,plain,
( ( ! [F: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( bind_S287509021_ptr_a @ none_S1393028981on_j_k @ F )
= none_element_ptr_a ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(642,plain,
( ( ! [F: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( bind_S607117548on_j_k @ none_S1393028981on_j_k @ F )
= none_S1393028981on_j_k ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(643,plain,
( ( ! [Xs: list_char] :
( ( append_char @ Xs @ nil_char )
= Xs ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(644,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ Xs @ nil_no279930520tr_b_c )
= Xs ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(645,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( ( append_char @ Xs @ Ys )
= Xs )
= ( Ys = nil_char ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(646,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ Ys )
= Xs )
= ( Ys = nil_no279930520tr_b_c ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(647,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( Xs
= ( append_char @ Xs @ Ys ) )
= ( Ys = nil_char ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(648,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( Xs
= ( append846395565tr_b_c @ Xs @ Ys ) )
= ( Ys = nil_no279930520tr_b_c ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(649,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( ( append_char @ Xs @ Ys )
= Ys )
= ( Xs = nil_char ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(650,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ Ys )
= Ys )
= ( Xs = nil_no279930520tr_b_c ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(651,plain,
( ( ! [Ys: list_char,Xs: list_char] :
( ( Ys
= ( append_char @ Xs @ Ys ) )
= ( Xs = nil_char ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(652,plain,
( ( ! [Ys: list_n282880152tr_b_c,Xs: list_n282880152tr_b_c] :
( ( Ys
= ( append846395565tr_b_c @ Xs @ Ys ) )
= ( Xs = nil_no279930520tr_b_c ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(653,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( nil_char
= ( append_char @ Xs @ Ys ) )
= ( ( Xs = nil_char )
& ( Ys = nil_char ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(654,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ Xs @ Ys ) )
= ( ( Xs = nil_no279930520tr_b_c )
& ( Ys = nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(655,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( ( append_char @ Xs @ Ys )
= nil_char )
= ( ( Xs = nil_char )
& ( Ys = nil_char ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(656,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ Ys )
= nil_no279930520tr_b_c )
= ( ( Xs = nil_no279930520tr_b_c )
& ( Ys = nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(657,plain,
( ( ! [A: list_char] :
( ( append_char @ A @ nil_char )
= A ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(658,plain,
( ( ! [A: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ A @ nil_no279930520tr_b_c )
= A ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(659,plain,
( ( ! [Xs: list_char,X: char,Ys: list_char,Y: char] :
( ( ( append_char @ Xs @ ( cons_char @ X @ nil_char ) )
= ( append_char @ Ys @ ( cons_char @ Y @ nil_char ) ) )
= ( ( Xs = Ys )
& ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(660,plain,
( ( ! [Xs: list_n282880152tr_b_c,X: node_p1234578834tr_b_c,Ys: list_n282880152tr_b_c,Y: node_p1234578834tr_b_c] :
( ( ( append846395565tr_b_c @ Xs @ ( cons_n413985352tr_b_c @ X @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ Ys @ ( cons_n413985352tr_b_c @ Y @ nil_no279930520tr_b_c ) ) )
= ( ( Xs = Ys )
& ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(661,plain,
( ( ! [P: list_char > $o,Xs: list_char] :
( ( P @ nil_char )
=> ( ! [X3: char,Xs2: list_char] :
( ( P @ Xs2 )
=> ( P @ ( append_char @ Xs2 @ ( cons_char @ X3 @ nil_char ) ) ) )
=> ( P @ Xs ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(662,plain,
( ( ! [P: list_n282880152tr_b_c > $o,Xs: list_n282880152tr_b_c] :
( ( P @ nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( P @ Xs2 )
=> ( P @ ( append846395565tr_b_c @ Xs2 @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) ) ) )
=> ( P @ Xs ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(663,plain,
( ( ! [Xs: list_char] :
( ( Xs != nil_char )
=> ~ ! [Ys3: list_char,Y3: char] :
( Xs
!= ( append_char @ Ys3 @ ( cons_char @ Y3 @ nil_char ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(664,plain,
( ( ! [Xs: list_n282880152tr_b_c] :
( ( Xs != nil_no279930520tr_b_c )
=> ~ ! [Ys3: list_n282880152tr_b_c,Y3: node_p1234578834tr_b_c] :
( Xs
!= ( append846395565tr_b_c @ Ys3 @ ( cons_n413985352tr_b_c @ Y3 @ nil_no279930520tr_b_c ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(665,plain,
( ( ! [X: char,Xs: list_char,Ys: list_char,Zs2: list_char] :
( ( ( cons_char @ X @ Xs )
= ( append_char @ Ys @ Zs2 ) )
= ( ( ( Ys = nil_char )
& ( ( cons_char @ X @ Xs )
= Zs2 ) )
| ? [Ys4: list_char] :
( ( ( cons_char @ X @ Ys4 )
= Ys )
& ( Xs
= ( append_char @ Ys4 @ Zs2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(666,plain,
( ( ! [X: node_p1234578834tr_b_c,Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c,Zs2: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ X @ Xs )
= ( append846395565tr_b_c @ Ys @ Zs2 ) )
= ( ( ( Ys = nil_no279930520tr_b_c )
& ( ( cons_n413985352tr_b_c @ X @ Xs )
= Zs2 ) )
| ? [Ys4: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ X @ Ys4 )
= Ys )
& ( Xs
= ( append846395565tr_b_c @ Ys4 @ Zs2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(667,plain,
( ( ! [Ys: list_char,Zs2: list_char,X: char,Xs: list_char] :
( ( ( append_char @ Ys @ Zs2 )
= ( cons_char @ X @ Xs ) )
= ( ( ( Ys = nil_char )
& ( Zs2
= ( cons_char @ X @ Xs ) ) )
| ? [Ys4: list_char] :
( ( Ys
= ( cons_char @ X @ Ys4 ) )
& ( ( append_char @ Ys4 @ Zs2 )
= Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(668,plain,
( ( ! [Ys: list_n282880152tr_b_c,Zs2: list_n282880152tr_b_c,X: node_p1234578834tr_b_c,Xs: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ Ys @ Zs2 )
= ( cons_n413985352tr_b_c @ X @ Xs ) )
= ( ( ( Ys = nil_no279930520tr_b_c )
& ( Zs2
= ( cons_n413985352tr_b_c @ X @ Xs ) ) )
| ? [Ys4: list_n282880152tr_b_c] :
( ( Ys
= ( cons_n413985352tr_b_c @ X @ Ys4 ) )
& ( ( append846395565tr_b_c @ Ys4 @ Zs2 )
= Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(669,plain,
( ( ! [Xs: list_char,P: list_char > $o] :
( ( Xs != nil_char )
=> ( ! [X3: char] : ( P @ ( cons_char @ X3 @ nil_char ) )
=> ( ! [X3: char,Xs2: list_char] :
( ( Xs2 != nil_char )
=> ( ( P @ Xs2 )
=> ( P @ ( append_char @ Xs2 @ ( cons_char @ X3 @ nil_char ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(670,plain,
( ( ! [Xs: list_n282880152tr_b_c,P: list_n282880152tr_b_c > $o] :
( ( Xs != nil_no279930520tr_b_c )
=> ( ! [X3: node_p1234578834tr_b_c] : ( P @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) )
=> ( ! [X3: node_p1234578834tr_b_c,Xs2: list_n282880152tr_b_c] :
( ( Xs2 != nil_no279930520tr_b_c )
=> ( ( P @ Xs2 )
=> ( P @ ( append846395565tr_b_c @ Xs2 @ ( cons_n413985352tr_b_c @ X3 @ nil_no279930520tr_b_c ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(671,plain,
( ( ! [Xs: list_char,Ys: list_char] :
( ( Xs = Ys )
=> ( Xs
= ( append_char @ nil_char @ Ys ) ) ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(672,plain,
( ( ! [Xs: list_n282880152tr_b_c,Ys: list_n282880152tr_b_c] :
( ( Xs = Ys )
=> ( Xs
= ( append846395565tr_b_c @ nil_no279930520tr_b_c @ Ys ) ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(673,plain,
( ( ! [Ys: list_char] :
( ( append_char @ nil_char @ Ys )
= Ys ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(674,plain,
( ( ! [Ys: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ nil_no279930520tr_b_c @ Ys )
= Ys ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(675,plain,
( ( ! [A: list_char] :
( ( append_char @ nil_char @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(676,plain,
( ( ! [A: list_n282880152tr_b_c] :
( ( append846395565tr_b_c @ nil_no279930520tr_b_c @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(677,plain,
( ( ~ ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[511]) ).
thf(678,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c,SX2: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ SX0 @ SX1 )
!= SX2 )
| ~ ( ( SX0 != nil_no279930520tr_b_c )
| ( SX2 != SX1 ) )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c] :
( ( SX0
!= ( cons_n413985352tr_b_c @ SX3 @ SX4 ) )
| ( SX2
!= ( cons_n413985352tr_b_c @ SX3 @ ( splice1294941035tr_b_c @ SX1 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[620]) ).
thf(679,plain,
( ( ! [SX0: list_char > list_char > $o,SX1: list_char,SX2: list_char] :
( ~ ( SX0 @ nil_char @ nil_char )
| ~ ! [SX3: char,SX4: list_char] : ( SX0 @ ( cons_char @ SX3 @ SX4 ) @ nil_char )
| ~ ! [SX3: char,SX4: list_char] : ( SX0 @ nil_char @ ( cons_char @ SX3 @ SX4 ) )
| ~ ! [SX3: char,SX4: list_char,SX5: char,SX6: list_char] :
( ~ ( SX0 @ SX4 @ SX6 )
| ( SX0 @ ( cons_char @ SX3 @ SX4 ) @ ( cons_char @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[594]) ).
thf(680,plain,
( ( ! [SX0: list_char > list_n282880152tr_b_c > $o,SX1: list_char,SX2: list_n282880152tr_b_c] :
( ~ ( SX0 @ nil_char @ nil_no279930520tr_b_c )
| ~ ! [SX3: char,SX4: list_char] : ( SX0 @ ( cons_char @ SX3 @ SX4 ) @ nil_no279930520tr_b_c )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c] : ( SX0 @ nil_char @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) )
| ~ ! [SX3: char,SX4: list_char,SX5: node_p1234578834tr_b_c,SX6: list_n282880152tr_b_c] :
( ~ ( SX0 @ SX4 @ SX6 )
| ( SX0 @ ( cons_char @ SX3 @ SX4 ) @ ( cons_n413985352tr_b_c @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[595]) ).
thf(681,plain,
( ( is_doc1417632087_j_k_l
= ( ^ [SX0: rObjec1413572695_j_k_l] :
( ( cast_O1034441233_j_k_l @ SX0 )
!= none_R1587534007on_j_k ) ) )
= $true ),
inference(unfold_def,[status(thm)],[549]) ).
thf(682,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c > $o] :
( ~ ( ( SX0 != nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c] : ( SX1 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c,SX3: list_n282880152tr_b_c] :
( ~ ( ( SX3 != nil_no279930520tr_b_c ) )
| ~ ( SX1 @ SX3 )
| ( SX1 @ ( append846395565tr_b_c @ SX3 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) ) ) )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[670]) ).
thf(683,plain,
( ( ! [SX0: list_char,SX1: char,SX2: list_char,SX3: char] :
( ( ( append_char @ SX0 @ ( cons_char @ SX1 @ nil_char ) )
= ( append_char @ SX2 @ ( cons_char @ SX3 @ nil_char ) ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[659]) ).
thf(684,plain,
( ( ! [SX0: list_char > list_char > $o,SX1: list_char,SX2: list_char] :
( ~ ! [SX3: list_char] : ( SX0 @ nil_char @ SX3 )
| ~ ! [SX3: char,SX4: list_char,SX5: list_char] :
( ~ ( SX0 @ SX5 @ SX4 )
| ( SX0 @ ( cons_char @ SX3 @ SX4 ) @ SX5 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[598]) ).
thf(685,plain,
( ( ! [SX0: list_n282880152tr_b_c > $o,SX1: list_n282880152tr_b_c] :
( ~ ( SX0 @ nil_no279930520tr_b_c )
| ~ ! [SX2: node_p1234578834tr_b_c] : ( SX0 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c,SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c] :
( ~ ( SX0 @ SX4 )
| ~ ( SX0 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) )
| ( SX0 @ ( cons_n413985352tr_b_c @ SX2 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[601]) ).
thf(686,plain,
( ( ! [SX0: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o,SX1: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SX2: list_n282880152tr_b_c] :
( ~ ! [SX3: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SX0 @ SX3 @ nil_no279930520tr_b_c )
| ~ ! [SX3: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SX4: node_p1234578834tr_b_c] : ( SX0 @ SX3 @ ( cons_n413985352tr_b_c @ SX4 @ nil_no279930520tr_b_c ) )
| ~ ! [SX3: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SX4: node_p1234578834tr_b_c,SX5: node_p1234578834tr_b_c,SX6: list_n282880152tr_b_c] :
( ~ ( SX0 @ SX3 @ ( cons_n413985352tr_b_c @ SX5 @ SX6 ) )
| ( SX0 @ SX3 @ ( cons_n413985352tr_b_c @ SX4 @ ( cons_n413985352tr_b_c @ SX5 @ SX6 ) ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[611]) ).
thf(687,plain,
( ( ! [SX0: list_char,SX1: list_char > $o] :
( ~ ( ( SX0 != nil_char ) )
| ~ ! [SX2: char] : ( SX1 @ ( cons_char @ SX2 @ nil_char ) )
| ~ ! [SX2: char,SX3: list_char] :
( ~ ( ( SX3 != nil_char ) )
| ~ ( SX1 @ SX3 )
| ( SX1 @ ( cons_char @ SX2 @ SX3 ) ) )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[612]) ).
thf(688,plain,
( ( ! [SX0: list_char] :
( ~ ( ( SX0 != nil_char ) )
| ~ ! [SX1: list_char,SX2: char] :
( SX0
!= ( append_char @ SX1 @ ( cons_char @ SX2 @ nil_char ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[663]) ).
thf(689,plain,
( ( ! [SX0: option2026120038on_j_k,SX1: option2026120038on_j_k > option_element_ptr_a > $o,SX2: option_element_ptr_a] :
( ~ ( ( SX0 != none_S1393028981on_j_k )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ( ( SX2 != none_element_ptr_a )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ! [SX3: sum_su1221287958on_j_k,SX4: element_ptr_a] :
( ( SX0
!= ( some_S1960742641on_j_k @ SX3 ) )
| ( SX2
!= ( some_element_ptr_a @ SX4 ) )
| ( SX1 @ SX0 @ SX2 ) )
| ( SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[572]) ).
thf(690,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c,SX2: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ SX0 )
!= ( size_s2106487044tr_b_c @ SX1 ) )
| ~ ( SX2 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c,SX5: node_p1234578834tr_b_c,SX6: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SX4 )
!= ( size_s2106487044tr_b_c @ SX6 ) )
| ~ ( SX2 @ SX4 @ SX6 )
| ( SX2 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ ( cons_n413985352tr_b_c @ SX5 @ SX6 ) ) )
| ( SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[618]) ).
thf(691,plain,
( ( ! [SX0: option2026120038on_j_k > $o,SX1: option_element_ptr_a,SX2: element_ptr_a > option2026120038on_j_k] :
( ( SX0 @ ( bind_e1012152651on_j_k @ SX1 @ SX2 ) )
= ( ~ ( ~ ( ( SX1 != none_element_ptr_a )
| ~ ~ ( SX0 @ none_S1393028981on_j_k ) )
| ~ ! [SX3: element_ptr_a] :
~ ~ ( ( SX1
!= ( some_element_ptr_a @ SX3 ) )
| ~ ~ ( SX0 @ ( SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[632]) ).
thf(692,plain,
( ( ! [SX0: list_char > $o,SX1: list_char] :
( ~ ( SX0 @ nil_char )
| ~ ! [SX2: char,SX3: list_char] :
( ~ ( SX0 @ SX3 )
| ( SX0 @ ( append_char @ SX3 @ ( cons_char @ SX2 @ nil_char ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[661]) ).
thf(693,plain,
( ( ! [SX0: option_element_ptr_a > $o,SX1: option2026120038on_j_k,SX2: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( SX0 @ ( bind_S287509021_ptr_a @ SX1 @ SX2 ) )
= ( ~ ( ~ ( ( SX1 != none_S1393028981on_j_k )
| ~ ~ ( SX0 @ none_element_ptr_a ) )
| ~ ! [SX3: sum_su1221287958on_j_k] :
~ ~ ( ( SX1
!= ( some_S1960742641on_j_k @ SX3 ) )
| ~ ~ ( SX0 @ ( SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[633]) ).
thf(694,plain,
( ( ! [SX0: option_element_ptr_a,SX1: option_element_ptr_a > option2026120038on_j_k > $o,SX2: option2026120038on_j_k] :
( ~ ( ( SX0 != none_element_ptr_a )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ( ( SX2 != none_S1393028981on_j_k )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ! [SX3: element_ptr_a,SX4: sum_su1221287958on_j_k] :
( ( SX0
!= ( some_element_ptr_a @ SX3 ) )
| ( SX2
!= ( some_S1960742641on_j_k @ SX4 ) )
| ( SX1 @ SX0 @ SX2 ) )
| ( SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[571]) ).
thf(695,plain,
( ( ! [SX0: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o,SX1: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SX2: list_n282880152tr_b_c] :
( ~ ! [SX3: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SX0 @ SX3 @ nil_no279930520tr_b_c )
| ~ ! [SX3: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SX4: node_p1234578834tr_b_c,SX5: list_n282880152tr_b_c] :
( ~ ( SX0 @ SX3 @ SX5 )
| ( SX0 @ SX3 @ ( cons_n413985352tr_b_c @ SX4 @ SX5 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[607]) ).
thf(696,plain,
( ( ! [SX0: rObjec1413572695_j_k_l] :
( ( ( cast_O1034441233_j_k_l @ SX0 )
= none_R1587534007on_j_k )
= ( ~ ~ ! [SX1: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SX1 )
!= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[546]) ).
thf(697,plain,
( ( ! [SX0: ( char > char > $o ) > list_char > $o,SX1: char > char > $o,SX2: list_char] :
( ~ ! [SX3: char > char > $o] : ( SX0 @ SX3 @ nil_char )
| ~ ! [SX3: char > char > $o,SX4: char,SX5: list_char] :
( ~ ( SX0 @ SX3 @ SX5 )
| ( SX0 @ SX3 @ ( cons_char @ SX4 @ SX5 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[606]) ).
thf(698,plain,
( ( ! [SX0: rObjec1617416918on_j_k] :
~ ! [SX1: product_unit,SX2: product_unit,SX3: list_char,SX4: option_element_ptr_a,SX5: list_n282880152tr_b_c,SX6: option2026120038on_j_k] :
( SX0
!= ( rObjec1303043984on_j_k @ SX1 @ ( rDocum427676485on_j_k @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(699,plain,
( ( ! [SX0: list_char > list_char > $o,SX1: list_char,SX2: list_char] :
( ~ ! [SX3: list_char] : ( SX0 @ nil_char @ SX3 )
| ~ ! [SX3: list_char] : ( SX0 @ SX3 @ nil_char )
| ~ ! [SX3: char,SX4: list_char,SX5: char,SX6: list_char] :
( ~ ( SX0 @ SX4 @ ( cons_char @ SX5 @ SX6 ) )
| ~ ( SX0 @ ( cons_char @ SX3 @ SX4 ) @ SX6 )
| ( SX0 @ ( cons_char @ SX3 @ SX4 ) @ ( cons_char @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[602]) ).
thf(700,plain,
( ( ! [SX0: list_char > $o,SX1: list_char] :
( ~ ( SX0 @ nil_char )
| ~ ! [SX2: char] : ( SX0 @ ( cons_char @ SX2 @ nil_char ) )
| ~ ! [SX2: char,SX3: char,SX4: list_char] :
( ~ ( ( SX2 != SX3 )
| ( SX0 @ ( cons_char @ SX2 @ SX4 ) ) )
| ~ ( ~ ( ( SX2 != SX3 ) )
| ( SX0 @ ( cons_char @ SX3 @ SX4 ) ) )
| ( SX0 @ ( cons_char @ SX2 @ ( cons_char @ SX3 @ SX4 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[608]) ).
thf(701,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SX0 @ SX1 )
= nil_no279930520tr_b_c )
= ( ~ ( ( SX0 != nil_no279930520tr_b_c )
| ( SX1 != nil_no279930520tr_b_c ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[656]) ).
thf(702,plain,
( ( ! [SX0: rObjec1617416918on_j_k] :
~ ! [SX1: product_unit,SX2: rDocum326988203on_j_k] :
( SX0
!= ( rObjec1303043984on_j_k @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(703,plain,
( ( ! [SX0: list_n282880152tr_b_c] :
( ~ ( ( SX0 != nil_no279930520tr_b_c ) )
| ~ ! [SX1: node_p1234578834tr_b_c,SX2: list_n282880152tr_b_c] :
( SX0
!= ( cons_n413985352tr_b_c @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[589]) ).
thf(704,plain,
( ( ! [SX0: option_element_ptr_a > $o,SX1: option_element_ptr_a,SX2: element_ptr_a > option_element_ptr_a] :
( ( SX0 @ ( bind_e22036734_ptr_a @ SX1 @ SX2 ) )
= ( ~ ( ~ ( ( SX1 != none_element_ptr_a )
| ~ ~ ( SX0 @ none_element_ptr_a ) )
| ~ ! [SX3: element_ptr_a] :
~ ~ ( ( SX1
!= ( some_element_ptr_a @ SX3 ) )
| ~ ~ ( SX0 @ ( SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[631]) ).
thf(705,plain,
( ( ! [SX0: option2026120038on_j_k > $o,SX1: option_element_ptr_a,SX2: element_ptr_a > option2026120038on_j_k] :
( ( SX0 @ ( bind_e1012152651on_j_k @ SX1 @ SX2 ) )
= ( ~ ( ~ ( ( SX1 != none_element_ptr_a )
| ( SX0 @ none_S1393028981on_j_k ) )
| ~ ! [SX3: element_ptr_a] :
( ( SX1
!= ( some_element_ptr_a @ SX3 ) )
| ( SX0 @ ( SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[636]) ).
thf(706,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: node_p1234578834tr_b_c,SX2: list_n282880152tr_b_c,SX3: node_p1234578834tr_b_c] :
( ( ( append846395565tr_b_c @ SX0 @ ( cons_n413985352tr_b_c @ SX1 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SX2 @ ( cons_n413985352tr_b_c @ SX3 @ nil_no279930520tr_b_c ) ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[660]) ).
thf(707,plain,
( ( ! [SX0: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SX1: list_n282880152tr_b_c,SX2: list_n282880152tr_b_c] :
( ~ ! [SX3: list_n282880152tr_b_c] : ( SX0 @ nil_no279930520tr_b_c @ SX3 )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c,SX5: list_n282880152tr_b_c] :
( ~ ( SX0 @ SX5 @ SX4 )
| ( SX0 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ SX5 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[599]) ).
thf(708,plain,
( ( ! [SX0: rObjec103300152t_unit > $o,SX1: rObjec103300152t_unit] :
( ~ ! [SX2: product_unit] : ( SX0 @ ( rObjec730108904t_unit @ SX2 @ product_Unity ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(709,plain,
( ( ! [SX0: rObjec103300152t_unit] :
~ ! [SX1: product_unit] :
( SX0
!= ( rObjec730108904t_unit @ SX1 @ product_Unity ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(710,plain,
( ( ! [SX0: option_element_ptr_a] :
( ( ! [SX1: element_ptr_a] :
( SX0
!= ( some_element_ptr_a @ SX1 ) ) )
= ( SX0 = none_element_ptr_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[552]) ).
thf(711,plain,
( ( ! [SX0: list_char,SX1: list_char > $o] :
( ~ ( ( SX0 != nil_char ) )
| ~ ! [SX2: char] : ( SX1 @ ( cons_char @ SX2 @ nil_char ) )
| ~ ! [SX2: char,SX3: list_char] :
( ~ ( ( SX3 != nil_char ) )
| ~ ( SX1 @ SX3 )
| ( SX1 @ ( append_char @ SX3 @ ( cons_char @ SX2 @ nil_char ) ) ) )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[669]) ).
thf(712,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c] :
( ( SX0 != SX1 )
| ( SX0
= ( append846395565tr_b_c @ nil_no279930520tr_b_c @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[672]) ).
thf(713,plain,
( ( ! [SX0: char,SX1: list_char,SX2: list_char,SX3: list_char] :
( ( ( cons_char @ SX0 @ SX1 )
= ( append_char @ SX2 @ SX3 ) )
= ( ~ ( ( SX2 != nil_char )
| ( ( cons_char @ SX0 @ SX1 )
!= SX3 ) )
| ~ ! [SX4: list_char] :
~ ~ ( ( ( cons_char @ SX0 @ SX4 )
!= SX2 )
| ( SX1
!= ( append_char @ SX4 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[665]) ).
thf(714,plain,
( ( ! [SX0: list_char > $o,SX1: list_char] :
( ~ ( SX0 @ nil_char )
| ~ ! [SX2: char,SX3: list_char] :
( ~ ( SX0 @ SX3 )
| ( SX0 @ ( cons_char @ SX2 @ SX3 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[590]) ).
thf(715,plain,
( ( ! [SX0: node_p1234578834tr_b_c,SX1: list_n282880152tr_b_c,SX2: list_n282880152tr_b_c,SX3: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ SX0 @ SX1 )
= ( append846395565tr_b_c @ SX2 @ SX3 ) )
= ( ~ ( ( SX2 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SX0 @ SX1 )
!= SX3 ) )
| ~ ! [SX4: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SX0 @ SX4 )
!= SX2 )
| ( SX1
!= ( append846395565tr_b_c @ SX4 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[666]) ).
thf(716,plain,
( ( ! [SX0: option2026120038on_j_k,SX1: option2026120038on_j_k > option2026120038on_j_k > $o,SX2: option2026120038on_j_k] :
( ~ ( ( SX0 != none_S1393028981on_j_k )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ( ( SX2 != none_S1393028981on_j_k )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ! [SX3: sum_su1221287958on_j_k,SX4: sum_su1221287958on_j_k] :
( ( SX0
!= ( some_S1960742641on_j_k @ SX3 ) )
| ( SX2
!= ( some_S1960742641on_j_k @ SX4 ) )
| ( SX1 @ SX0 @ SX2 ) )
| ( SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[573]) ).
thf(717,plain,
( ( ! [SX0: option_element_ptr_a > $o,SX1: option2026120038on_j_k,SX2: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( SX0 @ ( bind_S287509021_ptr_a @ SX1 @ SX2 ) )
= ( ~ ( ~ ( ( SX1 != none_S1393028981on_j_k )
| ( SX0 @ none_element_ptr_a ) )
| ~ ! [SX3: sum_su1221287958on_j_k] :
( ( SX1
!= ( some_S1960742641on_j_k @ SX3 ) )
| ( SX0 @ ( SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[637]) ).
thf(718,plain,
( ( ! [SX0: list_l118626078tr_b_c] :
( ~ ( ( SX0 != nil_li198338206tr_b_c ) )
| ~ ! [SX1: list_l118626078tr_b_c] :
( SX0
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ SX1 ) )
| ~ ! [SX1: node_p1234578834tr_b_c,SX2: list_n282880152tr_b_c,SX3: list_l118626078tr_b_c] :
( SX0
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SX1 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[583]) ).
thf(719,plain,
( ( ! [SX0: list_n282880152tr_b_c] :
( ( SX0 != nil_no279930520tr_b_c )
= ( ~ ! [SX1: node_p1234578834tr_b_c] :
~ ~ ! [SX2: list_n282880152tr_b_c] :
( SX0
!= ( cons_n413985352tr_b_c @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[593]) ).
thf(720,plain,
( ( ! [SX0: list_char > $o,SX1: list_char] :
( ~ ( SX0 @ nil_char )
| ~ ! [SX2: char] : ( SX0 @ ( cons_char @ SX2 @ nil_char ) )
| ~ ! [SX2: char,SX3: char,SX4: list_char] :
( ~ ( SX0 @ SX4 )
| ~ ( SX0 @ ( cons_char @ SX3 @ SX4 ) )
| ( SX0 @ ( cons_char @ SX2 @ ( cons_char @ SX3 @ SX4 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[600]) ).
thf(721,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: node_p1234578834tr_b_c,SX2: list_n282880152tr_b_c] :
( ( SX0
!= ( cons_n413985352tr_b_c @ SX1 @ SX2 ) )
| ( SX0 != nil_no279930520tr_b_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[587]) ).
thf(722,plain,
( ( ( ^ [SX0: option2026120038on_j_k > $o] :
! [SX1: option2026120038on_j_k] : ( SX0 @ SX1 ) )
= ( ^ [SX0: option2026120038on_j_k > $o] :
~ ( ~ ( SX0 @ none_S1393028981on_j_k )
| ~ ! [SX1: sum_su1221287958on_j_k] : ( SX0 @ ( some_S1960742641on_j_k @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[569]) ).
thf(723,plain,
( ( ! [SX0: option2026120038on_j_k] :
( ( SX0 != none_S1393028981on_j_k )
= ( ~ ! [SX1: sum_su1221287958on_j_k] :
( SX0
!= ( some_S1960742641on_j_k @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[555]) ).
thf(724,plain,
( ( ! [SX0: list_char,SX1: list_char,SX2: list_char,SX3: list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ SX0 )
!= ( size_size_list_char @ SX1 ) )
| ( ( size_size_list_char @ SX1 )
!= ( size_size_list_char @ SX2 ) )
| ~ ( SX3 @ nil_char @ nil_char @ nil_char )
| ~ ! [SX4: char,SX5: list_char,SX6: char,SX7: list_char,SX8: char,SX9: list_char] :
( ( ( size_size_list_char @ SX5 )
!= ( size_size_list_char @ SX7 ) )
| ( ( size_size_list_char @ SX7 )
!= ( size_size_list_char @ SX9 ) )
| ~ ( SX3 @ SX5 @ SX7 @ SX9 )
| ( SX3 @ ( cons_char @ SX4 @ SX5 ) @ ( cons_char @ SX6 @ SX7 ) @ ( cons_char @ SX8 @ SX9 ) ) )
| ( SX3 @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[615]) ).
thf(725,plain,
( ( ! [SX0: rObjec1617416918on_j_k > $o,SX1: rObjec1617416918on_j_k] :
( ~ ! [SX2: product_unit,SX3: rDocum326988203on_j_k] : ( SX0 @ ( rObjec1303043984on_j_k @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(726,plain,
( ( ! [SX0: list_char] :
( ~ ( ( SX0 != nil_char ) )
| ~ ! [SX1: char] :
( SX0
!= ( cons_char @ SX1 @ nil_char ) )
| ~ ! [SX1: char,SX2: char,SX3: list_char] :
( SX0
!= ( cons_char @ SX1 @ ( cons_char @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[604]) ).
thf(727,plain,
( ( ! [SX0: list_n282880152tr_b_c] :
( ~ ( ( SX0 != nil_no279930520tr_b_c ) )
| ~ ! [SX1: list_n282880152tr_b_c,SX2: node_p1234578834tr_b_c] :
( SX0
!= ( append846395565tr_b_c @ SX1 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[664]) ).
thf(728,plain,
( ( ! [SX0: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SX1: list_n282880152tr_b_c,SX2: list_n282880152tr_b_c] :
( ~ ! [SX3: list_n282880152tr_b_c] : ( SX0 @ nil_no279930520tr_b_c @ SX3 )
| ~ ! [SX3: list_n282880152tr_b_c] : ( SX0 @ SX3 @ nil_no279930520tr_b_c )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c,SX5: node_p1234578834tr_b_c,SX6: list_n282880152tr_b_c] :
( ~ ( SX0 @ SX4 @ ( cons_n413985352tr_b_c @ SX5 @ SX6 ) )
| ~ ( SX0 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ SX6 )
| ( SX0 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ ( cons_n413985352tr_b_c @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[603]) ).
thf(729,plain,
( ( ! [SX0: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SX1: list_n282880152tr_b_c,SX2: list_n282880152tr_b_c] :
( ~ ( SX0 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c] : ( SX0 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ nil_no279930520tr_b_c )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c] : ( SX0 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c,SX5: node_p1234578834tr_b_c,SX6: list_n282880152tr_b_c] :
( ~ ( SX0 @ SX4 @ SX6 )
| ( SX0 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ ( cons_n413985352tr_b_c @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[597]) ).
thf(730,plain,
( ( ( ^ [SX0: option2026120038on_j_k > $o] :
~ ! [SX1: option2026120038on_j_k] :
~ ( SX0 @ SX1 ) )
= ( ^ [SX0: option2026120038on_j_k > $o] :
( ( SX0 @ none_S1393028981on_j_k )
| ~ ! [SX1: sum_su1221287958on_j_k] :
~ ( SX0 @ ( some_S1960742641on_j_k @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[567]) ).
thf(731,plain,
( ( ! [SX0: rObjec1617416918on_j_k > $o,SX1: rObjec1617416918on_j_k] :
( ~ ! [SX2: product_unit,SX3: product_unit,SX4: list_char,SX5: option_element_ptr_a,SX6: list_n282880152tr_b_c,SX7: option2026120038on_j_k] : ( SX0 @ ( rObjec1303043984on_j_k @ SX2 @ ( rDocum427676485on_j_k @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(732,plain,
( ( ! [SX0: list_char,SX1: char,SX2: list_char] :
( ( SX0
!= ( cons_char @ SX1 @ SX2 ) )
| ( SX0 != nil_char ) ) )
= $true ),
inference(unfold_def,[status(thm)],[586]) ).
thf(733,plain,
( ( ! [SX0: char,SX1: list_char] :
( nil_char
!= ( cons_char @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[584]) ).
thf(734,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ SX0 @ SX1 )
= nil_no279930520tr_b_c )
= ( ~ ( ( SX0 != nil_no279930520tr_b_c )
| ( SX1 != nil_no279930520tr_b_c ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[575]) ).
thf(735,plain,
( ( ! [SX0: list_n282880152tr_b_c > $o,SX1: list_n282880152tr_b_c] :
( ~ ( SX0 @ nil_no279930520tr_b_c )
| ~ ! [SX2: node_p1234578834tr_b_c] : ( SX0 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c,SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c] :
( ~ ( ( SX2 != SX3 )
| ( SX0 @ ( cons_n413985352tr_b_c @ SX2 @ SX4 ) ) )
| ~ ( ~ ( ( SX2 != SX3 ) )
| ( SX0 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) ) )
| ( SX0 @ ( cons_n413985352tr_b_c @ SX2 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[609]) ).
thf(736,plain,
( ( ! [SX0: list_list_char] :
( ~ ( ( SX0 != nil_list_char ) )
| ~ ! [SX1: list_list_char] :
( SX0
!= ( cons_list_char @ nil_char @ SX1 ) )
| ~ ! [SX1: char,SX2: list_char,SX3: list_list_char] :
( SX0
!= ( cons_list_char @ ( cons_char @ SX1 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[582]) ).
thf(737,plain,
( ( ( ^ [SX0: option_element_ptr_a > $o] :
~ ! [SX1: option_element_ptr_a] :
~ ( SX0 @ SX1 ) )
= ( ^ [SX0: option_element_ptr_a > $o] :
( ( SX0 @ none_element_ptr_a )
| ~ ! [SX1: element_ptr_a] :
~ ( SX0 @ ( some_element_ptr_a @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[566]) ).
thf(738,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c,SX2: list_n282880152tr_b_c,SX3: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ SX0 )
!= ( size_s2106487044tr_b_c @ SX1 ) )
| ( ( size_s2106487044tr_b_c @ SX1 )
!= ( size_s2106487044tr_b_c @ SX2 ) )
| ~ ( SX3 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SX4: node_p1234578834tr_b_c,SX5: list_n282880152tr_b_c,SX6: node_p1234578834tr_b_c,SX7: list_n282880152tr_b_c,SX8: node_p1234578834tr_b_c,SX9: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SX5 )
!= ( size_s2106487044tr_b_c @ SX7 ) )
| ( ( size_s2106487044tr_b_c @ SX7 )
!= ( size_s2106487044tr_b_c @ SX9 ) )
| ~ ( SX3 @ SX5 @ SX7 @ SX9 )
| ( SX3 @ ( cons_n413985352tr_b_c @ SX4 @ SX5 ) @ ( cons_n413985352tr_b_c @ SX6 @ SX7 ) @ ( cons_n413985352tr_b_c @ SX8 @ SX9 ) ) )
| ( SX3 @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[616]) ).
thf(739,plain,
( ( ! [SX0: list_char,SX1: list_char] :
( ( ( splice_char @ SX0 @ SX1 )
= nil_char )
= ( ~ ( ( SX0 != nil_char )
| ( SX1 != nil_char ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[574]) ).
thf(740,plain,
( ( ! [SX0: list_char,SX1: list_char] :
( ( nil_char
= ( append_char @ SX0 @ SX1 ) )
= ( ~ ( ( SX0 != nil_char )
| ( SX1 != nil_char ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[653]) ).
thf(741,plain,
( ( ! [SX0: list_char,SX1: list_char] :
( ( ( append_char @ SX0 @ SX1 )
= nil_char )
= ( ~ ( ( SX0 != nil_char )
| ( SX1 != nil_char ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[655]) ).
thf(742,plain,
( ( ! [SX0: list_char,SX1: list_char,SX2: list_char,SX3: list_char,SX4: list_char > list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ SX0 )
!= ( size_size_list_char @ SX1 ) )
| ( ( size_size_list_char @ SX1 )
!= ( size_size_list_char @ SX2 ) )
| ( ( size_size_list_char @ SX2 )
!= ( size_size_list_char @ SX3 ) )
| ~ ( SX4 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SX5: char,SX6: list_char,SX7: char,SX8: list_char,SX9: char,SX10: list_char,SX11: char,SX12: list_char] :
( ( ( size_size_list_char @ SX6 )
!= ( size_size_list_char @ SX8 ) )
| ( ( size_size_list_char @ SX8 )
!= ( size_size_list_char @ SX10 ) )
| ( ( size_size_list_char @ SX10 )
!= ( size_size_list_char @ SX12 ) )
| ~ ( SX4 @ SX6 @ SX8 @ SX10 @ SX12 )
| ( SX4 @ ( cons_char @ SX5 @ SX6 ) @ ( cons_char @ SX7 @ SX8 ) @ ( cons_char @ SX9 @ SX10 ) @ ( cons_char @ SX11 @ SX12 ) ) )
| ( SX4 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[614]) ).
thf(743,plain,
( ( ! [SX0: product_unit,SX1: rDocum326988203on_j_k,SX2: product_unit,SX3: rDocum326988203on_j_k] :
( ( ( rObjec1303043984on_j_k @ SX0 @ SX1 )
= ( rObjec1303043984on_j_k @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(744,plain,
( ( ! [SX0: option2026120038on_j_k,SX1: sum_su1221287958on_j_k] :
( ( SX0
!= ( some_S1960742641on_j_k @ SX1 ) )
| ( SX0 != none_S1393028981on_j_k ) ) )
= $true ),
inference(unfold_def,[status(thm)],[561]) ).
thf(745,plain,
( ( ! [SX0: product_unit,SX1: list_char,SX2: option_element_ptr_a,SX3: list_n282880152tr_b_c,SX4: option2026120038on_j_k,SX5: product_unit,SX6: list_char,SX7: option_element_ptr_a,SX8: list_n282880152tr_b_c,SX9: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
= ( rDocum427676485on_j_k @ SX5 @ SX6 @ SX7 @ SX8 @ SX9 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX0 != SX5 )
| ( SX1 != SX6 ) )
| ( SX2 != SX7 ) )
| ( SX3 != SX8 ) )
| ( SX4 != SX9 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[513]) ).
thf(746,plain,
( ( ! [SX0: option2026120038on_j_k > $o,SX1: option2026120038on_j_k,SX2: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( SX0 @ ( bind_S607117548on_j_k @ SX1 @ SX2 ) )
= ( ~ ( ~ ( ( SX1 != none_S1393028981on_j_k )
| ( SX0 @ none_S1393028981on_j_k ) )
| ~ ! [SX3: sum_su1221287958on_j_k] :
( ( SX1
!= ( some_S1960742641on_j_k @ SX3 ) )
| ( SX0 @ ( SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[638]) ).
thf(747,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c > $o] :
( ~ ( ( SX0 != nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c] : ( SX1 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c,SX3: list_n282880152tr_b_c] :
( ~ ( ( SX3 != nil_no279930520tr_b_c ) )
| ~ ( SX1 @ SX3 )
| ( SX1 @ ( cons_n413985352tr_b_c @ SX2 @ SX3 ) ) )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[613]) ).
thf(748,plain,
( ( ! [SX0: option2026120038on_j_k] :
( ( ! [SX1: sum_su1221287958on_j_k] :
( SX0
!= ( some_S1960742641on_j_k @ SX1 ) ) )
= ( SX0 = none_S1393028981on_j_k ) ) )
= $true ),
inference(unfold_def,[status(thm)],[553]) ).
thf(749,plain,
( ( ! [SX0: option_element_ptr_a,SX1: element_ptr_a] :
( ( SX0
!= ( some_element_ptr_a @ SX1 ) )
| ( SX0 != none_element_ptr_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[560]) ).
thf(750,plain,
( ( ( ^ [SX0: option_element_ptr_a > $o] :
! [SX1: option_element_ptr_a] : ( SX0 @ SX1 ) )
= ( ^ [SX0: option_element_ptr_a > $o] :
~ ( ~ ( SX0 @ none_element_ptr_a )
| ~ ! [SX1: element_ptr_a] : ( SX0 @ ( some_element_ptr_a @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[568]) ).
thf(751,plain,
( ( ! [SX0: option_element_ptr_a,SX1: option_element_ptr_a > option_element_ptr_a > $o,SX2: option_element_ptr_a] :
( ~ ( ( SX0 != none_element_ptr_a )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ( ( SX2 != none_element_ptr_a )
| ( SX1 @ SX0 @ SX2 ) )
| ~ ! [SX3: element_ptr_a,SX4: element_ptr_a] :
( ( SX0
!= ( some_element_ptr_a @ SX3 ) )
| ( SX2
!= ( some_element_ptr_a @ SX4 ) )
| ( SX1 @ SX0 @ SX2 ) )
| ( SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[570]) ).
thf(752,plain,
( ( ! [SX0: list_n282880152tr_b_c > $o,SX1: list_n282880152tr_b_c] :
( ~ ( SX0 @ nil_no279930520tr_b_c )
| ~ ! [SX2: node_p1234578834tr_b_c,SX3: list_n282880152tr_b_c] :
( ~ ( SX0 @ SX3 )
| ( SX0 @ ( append846395565tr_b_c @ SX3 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[662]) ).
thf(753,plain,
( ( ! [SX0: element_ptr_a] :
( none_element_ptr_a
!= ( some_element_ptr_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[558]) ).
thf(754,plain,
( ( ! [SX0: option_element_ptr_a > $o,SX1: option_element_ptr_a,SX2: element_ptr_a > option_element_ptr_a] :
( ( SX0 @ ( bind_e22036734_ptr_a @ SX1 @ SX2 ) )
= ( ~ ( ~ ( ( SX1 != none_element_ptr_a )
| ( SX0 @ none_element_ptr_a ) )
| ~ ! [SX3: element_ptr_a] :
( ( SX1
!= ( some_element_ptr_a @ SX3 ) )
| ( SX0 @ ( SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[635]) ).
thf(755,plain,
( ( ! [SX0: list_char] :
( ( SX0 != nil_char )
= ( ~ ! [SX1: char] :
~ ~ ! [SX2: list_char] :
( SX0
!= ( cons_char @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[592]) ).
thf(756,plain,
( ( ! [SX0: list_char,SX1: list_char,SX2: char,SX3: list_char] :
( ( ( append_char @ SX0 @ SX1 )
= ( cons_char @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != nil_char )
| ( SX1
!= ( cons_char @ SX2 @ SX3 ) ) )
| ~ ! [SX4: list_char] :
~ ~ ( ( SX0
!= ( cons_char @ SX2 @ SX4 ) )
| ( ( append_char @ SX4 @ SX1 )
!= SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[667]) ).
thf(757,plain,
( ( ! [SX0: ( char > char > $o ) > list_char > $o,SX1: char > char > $o,SX2: list_char] :
( ~ ! [SX3: char > char > $o] : ( SX0 @ SX3 @ nil_char )
| ~ ! [SX3: char > char > $o,SX4: char] : ( SX0 @ SX3 @ ( cons_char @ SX4 @ nil_char ) )
| ~ ! [SX3: char > char > $o,SX4: char,SX5: char,SX6: list_char] :
( ~ ( SX0 @ SX3 @ ( cons_char @ SX5 @ SX6 ) )
| ( SX0 @ SX3 @ ( cons_char @ SX4 @ ( cons_char @ SX5 @ SX6 ) ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[610]) ).
thf(758,plain,
( ( ! [SX0: option_element_ptr_a] :
( ( SX0 != none_element_ptr_a )
= ( ~ ! [SX1: element_ptr_a] :
( SX0
!= ( some_element_ptr_a @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[554]) ).
thf(759,plain,
( ( ! [SX0: option2026120038on_j_k > $o,SX1: option2026120038on_j_k] :
( ~ ( SX0 @ none_S1393028981on_j_k )
| ~ ! [SX2: sum_su1221287958on_j_k] : ( SX0 @ ( some_S1960742641on_j_k @ SX2 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[565]) ).
thf(760,plain,
( ( ! [SX0: list_n282880152tr_b_c > $o,SX1: list_n282880152tr_b_c] :
( ~ ( SX0 @ nil_no279930520tr_b_c )
| ~ ! [SX2: node_p1234578834tr_b_c,SX3: list_n282880152tr_b_c] :
( ~ ( SX0 @ SX3 )
| ( SX0 @ ( cons_n413985352tr_b_c @ SX2 @ SX3 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[591]) ).
thf(761,plain,
( ( ! [SX0: list_char,SX1: list_char] :
( ( SX0 != SX1 )
| ( SX0
= ( append_char @ nil_char @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[671]) ).
thf(762,plain,
( ( ! [SX0: list_n282880152tr_b_c] :
( ~ ( ( SX0 != nil_no279930520tr_b_c ) )
| ~ ! [SX1: node_p1234578834tr_b_c] :
( SX0
!= ( cons_n413985352tr_b_c @ SX1 @ nil_no279930520tr_b_c ) )
| ~ ! [SX1: node_p1234578834tr_b_c,SX2: node_p1234578834tr_b_c,SX3: list_n282880152tr_b_c] :
( SX0
!= ( cons_n413985352tr_b_c @ SX1 @ ( cons_n413985352tr_b_c @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[605]) ).
thf(763,plain,
( ( ! [SX0: option_element_ptr_a > $o,SX1: option_element_ptr_a] :
( ~ ( SX0 @ none_element_ptr_a )
| ~ ! [SX2: element_ptr_a] : ( SX0 @ ( some_element_ptr_a @ SX2 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[564]) ).
thf(764,plain,
( ( ! [SX0: list_n282880152tr_b_c > list_char > $o,SX1: list_n282880152tr_b_c,SX2: list_char] :
( ~ ( SX0 @ nil_no279930520tr_b_c @ nil_char )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c] : ( SX0 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ nil_char )
| ~ ! [SX3: char,SX4: list_char] : ( SX0 @ nil_no279930520tr_b_c @ ( cons_char @ SX3 @ SX4 ) )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c,SX5: char,SX6: list_char] :
( ~ ( SX0 @ SX4 @ SX6 )
| ( SX0 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ ( cons_char @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[596]) ).
thf(765,plain,
( ( ! [SX0: list_char,SX1: list_char,SX2: list_char > list_char > $o] :
( ( ( size_size_list_char @ SX0 )
!= ( size_size_list_char @ SX1 ) )
| ~ ( SX2 @ nil_char @ nil_char )
| ~ ! [SX3: char,SX4: list_char,SX5: char,SX6: list_char] :
( ( ( size_size_list_char @ SX4 )
!= ( size_size_list_char @ SX6 ) )
| ~ ( SX2 @ SX4 @ SX6 )
| ( SX2 @ ( cons_char @ SX3 @ SX4 ) @ ( cons_char @ SX5 @ SX6 ) ) )
| ( SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[617]) ).
thf(766,plain,
( ( ! [SX0: option_element_ptr_a] :
( ~ ( ( SX0 != none_element_ptr_a ) )
| ~ ! [SX1: element_ptr_a] :
( SX0
!= ( some_element_ptr_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[562]) ).
thf(767,plain,
( ( ! [SX0: option2026120038on_j_k > $o,SX1: option2026120038on_j_k,SX2: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( SX0 @ ( bind_S607117548on_j_k @ SX1 @ SX2 ) )
= ( ~ ( ~ ( ( SX1 != none_S1393028981on_j_k )
| ~ ~ ( SX0 @ none_S1393028981on_j_k ) )
| ~ ! [SX3: sum_su1221287958on_j_k] :
~ ~ ( ( SX1
!= ( some_S1960742641on_j_k @ SX3 ) )
| ~ ~ ( SX0 @ ( SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[634]) ).
thf(768,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c,SX2: node_p1234578834tr_b_c,SX3: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SX0 @ SX1 )
= ( cons_n413985352tr_b_c @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != nil_no279930520tr_b_c )
| ( SX1
!= ( cons_n413985352tr_b_c @ SX2 @ SX3 ) ) )
| ~ ! [SX4: list_n282880152tr_b_c] :
~ ~ ( ( SX0
!= ( cons_n413985352tr_b_c @ SX2 @ SX4 ) )
| ( ( append846395565tr_b_c @ SX4 @ SX1 )
!= SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[668]) ).
thf(769,plain,
( ( ! [SX0: list_char,SX1: list_char,SX2: list_char] :
( ( ( splice_char @ SX0 @ SX1 )
!= SX2 )
| ~ ( ( SX0 != nil_char )
| ( SX2 != SX1 ) )
| ~ ! [SX3: char,SX4: list_char] :
( ( SX0
!= ( cons_char @ SX3 @ SX4 ) )
| ( SX2
!= ( cons_char @ SX3 @ ( splice_char @ SX1 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[619]) ).
thf(770,plain,
( ( ! [SX0: option2026120038on_j_k] :
( ~ ( ( SX0 != none_S1393028981on_j_k ) )
| ~ ! [SX1: sum_su1221287958on_j_k] :
( SX0
!= ( some_S1960742641on_j_k @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[563]) ).
thf(771,plain,
( ( ! [SX0: rDocum326988203on_j_k > $o,SX1: rDocum326988203on_j_k] :
( ~ ! [SX2: product_unit,SX3: list_char,SX4: option_element_ptr_a,SX5: list_n282880152tr_b_c,SX6: option2026120038on_j_k] : ( SX0 @ ( rDocum427676485on_j_k @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(772,plain,
( ( ! [SX0: node_p1234578834tr_b_c,SX1: list_n282880152tr_b_c] :
( nil_no279930520tr_b_c
!= ( cons_n413985352tr_b_c @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[585]) ).
thf(773,plain,
( ( ! [SX0: sum_su1221287958on_j_k] :
( none_S1393028981on_j_k
!= ( some_S1960742641on_j_k @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[559]) ).
thf(774,plain,
( ( ! [SX0: list_n282880152tr_b_c,SX1: list_n282880152tr_b_c] :
( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SX0 @ SX1 ) )
= ( ~ ( ( SX0 != nil_no279930520tr_b_c )
| ( SX1 != nil_no279930520tr_b_c ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[654]) ).
thf(775,plain,
( ( ! [SX0: list_char] :
( ~ ( ( SX0 != nil_char ) )
| ~ ! [SX1: char,SX2: list_char] :
( SX0
!= ( cons_char @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[588]) ).
thf(776,plain,
! [SV1: rObjec1617416918on_j_k] :
( ( ! [SY589: rObjec1617416918on_j_k] :
( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SY589 ) )
= ( SV1 = SY589 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(777,plain,
( ( ! [SV2: docume1935157360tr_d_e] :
( ( put_D_2126422573_h_i_l @ SV2 )
= ( ^ [SY590: rObjec1617416918on_j_k] : ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ SV2 ) @ ( cast_D1252964113_h_i_l @ SY590 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(778,plain,
( ( put_D_2126422573_h_i_l
= ( ^ [Document_ptr: docume1935157360tr_d_e,Document: rObjec1617416918on_j_k] : ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ Document_ptr ) @ ( cast_D1252964113_h_i_l @ Document ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(779,plain,
! [SV3: rObjec1617416918on_j_k] :
( ( ( rObjec1303043984on_j_k @ product_Unity @ ( more_R1625109589on_j_k @ SV3 ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(780,plain,
! [SV4: rObjec103300152t_unit] :
( ( ( rObjec730108904t_unit @ product_Unity @ ( more_Product_unit @ SV4 ) )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(781,plain,
! [SV5: product_unit > product_unit] :
( ( ! [SY591: product_unit,SY592: product_unit,SY593: list_char,SY594: option_element_ptr_a,SY595: list_n282880152tr_b_c,SY596: option2026120038on_j_k] :
( ( nothin1105341917on_j_k @ SV5 @ ( rObjec1303043984on_j_k @ SY591 @ ( rDocum427676485on_j_k @ SY592 @ SY593 @ SY594 @ SY595 @ SY596 ) ) )
= ( rObjec1303043984on_j_k @ SY591 @ ( rDocum427676485on_j_k @ ( SV5 @ SY592 ) @ SY593 @ SY594 @ SY595 @ SY596 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(782,plain,
! [SV6: list_char > list_char] :
( ( ! [SY597: product_unit,SY598: product_unit,SY599: list_char,SY600: option_element_ptr_a,SY601: list_n282880152tr_b_c,SY602: option2026120038on_j_k] :
( ( doctyp68000440on_j_k @ SV6 @ ( rObjec1303043984on_j_k @ SY597 @ ( rDocum427676485on_j_k @ SY598 @ SY599 @ SY600 @ SY601 @ SY602 ) ) )
= ( rObjec1303043984on_j_k @ SY597 @ ( rDocum427676485on_j_k @ SY598 @ ( SV6 @ SY599 ) @ SY600 @ SY601 @ SY602 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(783,plain,
! [SV7: option_element_ptr_a > option_element_ptr_a] :
( ( ! [SY603: product_unit,SY604: product_unit,SY605: list_char,SY606: option_element_ptr_a,SY607: list_n282880152tr_b_c,SY608: option2026120038on_j_k] :
( ( docume244715269on_j_k @ SV7 @ ( rObjec1303043984on_j_k @ SY603 @ ( rDocum427676485on_j_k @ SY604 @ SY605 @ SY606 @ SY607 @ SY608 ) ) )
= ( rObjec1303043984on_j_k @ SY603 @ ( rDocum427676485on_j_k @ SY604 @ SY605 @ ( SV7 @ SY606 ) @ SY607 @ SY608 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(784,plain,
! [SV8: list_n282880152tr_b_c > list_n282880152tr_b_c] :
( ( ! [SY609: product_unit,SY610: product_unit,SY611: list_char,SY612: option_element_ptr_a,SY613: list_n282880152tr_b_c,SY614: option2026120038on_j_k] :
( ( discon442323090on_j_k @ SV8 @ ( rObjec1303043984on_j_k @ SY609 @ ( rDocum427676485on_j_k @ SY610 @ SY611 @ SY612 @ SY613 @ SY614 ) ) )
= ( rObjec1303043984on_j_k @ SY609 @ ( rDocum427676485on_j_k @ SY610 @ SY611 @ SY612 @ ( SV8 @ SY613 ) @ SY614 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(785,plain,
! [SV9: product_unit] :
( ( ! [SY615: rDocum326988203on_j_k] :
( ( more_R1625109589on_j_k @ ( rObjec1303043984on_j_k @ SV9 @ SY615 ) )
= SY615 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(786,plain,
! [SV10: option2026120038on_j_k > option2026120038on_j_k] :
( ( ! [SY616: product_unit,SY617: product_unit,SY618: list_char,SY619: option_element_ptr_a,SY620: list_n282880152tr_b_c,SY621: option2026120038on_j_k] :
( ( more_u1044474223_c_a_b @ SV10 @ ( rObjec1303043984on_j_k @ SY616 @ ( rDocum427676485on_j_k @ SY617 @ SY618 @ SY619 @ SY620 @ SY621 ) ) )
= ( rObjec1303043984on_j_k @ SY616 @ ( rDocum427676485on_j_k @ SY617 @ SY618 @ SY619 @ SY620 @ ( SV10 @ SY621 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(787,plain,
! [SV11: product_unit] :
( ( ! [SY622: product_unit,SY623: list_char,SY624: option_element_ptr_a,SY625: list_n282880152tr_b_c,SY626: option2026120038on_j_k] :
( ( more_c1453068134on_j_k @ ( rObjec1303043984on_j_k @ SV11 @ ( rDocum427676485on_j_k @ SY622 @ SY623 @ SY624 @ SY625 @ SY626 ) ) )
= SY626 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(788,plain,
! [SV12: product_unit] :
( ( ! [SY627: product_unit,SY628: list_char,SY629: option_element_ptr_a,SY630: list_n282880152tr_b_c,SY631: option2026120038on_j_k] :
( ( discon866287741on_j_k @ ( rObjec1303043984on_j_k @ SV12 @ ( rDocum427676485on_j_k @ SY627 @ SY628 @ SY629 @ SY630 @ SY631 ) ) )
= SY630 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(789,plain,
! [SV13: product_unit] :
( ( ! [SY632: product_unit,SY633: list_char,SY634: option_element_ptr_a,SY635: list_n282880152tr_b_c,SY636: option2026120038on_j_k] :
( ( docume1175131570on_j_k @ ( rObjec1303043984on_j_k @ SV13 @ ( rDocum427676485on_j_k @ SY632 @ SY633 @ SY634 @ SY635 @ SY636 ) ) )
= SY634 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(790,plain,
! [SV14: product_unit] :
( ( ! [SY637: product_unit,SY638: list_char,SY639: option_element_ptr_a,SY640: list_n282880152tr_b_c,SY641: option2026120038on_j_k] :
( ( doctyp814403297on_j_k @ ( rObjec1303043984on_j_k @ SV14 @ ( rDocum427676485on_j_k @ SY637 @ SY638 @ SY639 @ SY640 @ SY641 ) ) )
= SY638 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(791,plain,
! [SV15: product_unit] :
( ( ! [SY642: product_unit,SY643: list_char,SY644: option_element_ptr_a,SY645: list_n282880152tr_b_c,SY646: option2026120038on_j_k] :
( ( nothin757132294on_j_k @ ( rObjec1303043984on_j_k @ SV15 @ ( rDocum427676485on_j_k @ SY642 @ SY643 @ SY644 @ SY645 @ SY646 ) ) )
= SY642 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(792,plain,
! [SV16: list_char] :
( ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= ( SV16 = nil_char ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(793,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= ( SV17 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(794,plain,
! [SV18: rObjec1617416918on_j_k] :
( ( SV18
= ( rObjec1303043984on_j_k @ ( nothin1567949605on_j_k @ SV18 ) @ ( more_R1625109589on_j_k @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(795,plain,
! [SV19: product_unit] :
( ( ! [SY647: rDocum326988203on_j_k] :
( ( nothin1567949605on_j_k @ ( rObjec1303043984on_j_k @ SV19 @ SY647 ) )
= SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(796,plain,
! [SV20: element_ptr_a > nat] :
( ( ( size_o1591053974_ptr_a @ SV20 @ none_element_ptr_a )
= ( suc @ zero_zero_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(797,plain,
! [SV21: sum_su1221287958on_j_k > nat] :
( ( ( size_o1777465779on_j_k @ SV21 @ none_S1393028981on_j_k )
= ( suc @ zero_zero_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(798,plain,
! [SV22: char > $o] :
( ( ~ ( list_ex1_char @ SV22 @ nil_char ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(799,plain,
! [SV23: node_p1234578834tr_b_c > $o] :
( ( ~ ( list_e469495899tr_b_c @ SV23 @ nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(800,plain,
! [SV24: nat] :
( ( ( gen_length_char @ SV24 @ nil_char )
= SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(801,plain,
! [SV25: nat] :
( ( ( gen_le955068453tr_b_c @ SV25 @ nil_no279930520tr_b_c )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(802,plain,
! [SV26: rObjec1617416918on_j_k] :
( ( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ SV26 ) )
= ( some_R67702331on_j_k @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(803,plain,
! [SV27: rObjec1413572695_j_k_l] :
( ( ! [SY648: rObjec1617416918on_j_k] :
( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SY648 ) )
= ( ( cast_D1252964113_h_i_l @ SY648 )
= SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(804,plain,
! [SV28: list_char] :
( ( ( splice_char @ SV28 @ nil_char )
= SV28 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(805,plain,
! [SV29: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ SV29 @ nil_no279930520tr_b_c )
= SV29 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(806,plain,
! [SV30: list_char] :
( ( ( splice_char @ nil_char @ SV30 )
= SV30 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(807,plain,
! [SV31: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ nil_no279930520tr_b_c @ SV31 )
= SV31 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(808,plain,
! [SV32: char] :
( ( ( count_list_char @ nil_char @ SV32 )
= zero_zero_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(809,plain,
! [SV33: node_p1234578834tr_b_c] :
( ( ( count_2128515342tr_b_c @ nil_no279930520tr_b_c @ SV33 )
= zero_zero_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(810,plain,
! [SV34: char] :
( ( ( insert_char @ SV34 @ nil_char )
= ( cons_char @ SV34 @ nil_char ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(811,plain,
! [SV35: node_p1234578834tr_b_c] :
( ( ( insert678865070tr_b_c @ SV35 @ nil_no279930520tr_b_c )
= ( cons_n413985352tr_b_c @ SV35 @ nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(812,plain,
! [SV36: set_nat] :
( ( ( nths_char @ nil_char @ SV36 )
= nil_char )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(813,plain,
! [SV37: set_nat] :
( ( ( nths_n1256675478tr_b_c @ nil_no279930520tr_b_c @ SV37 )
= nil_no279930520tr_b_c )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(814,plain,
! [SV38: list_char] :
( ( ( nths_char @ SV38 @ bot_bot_set_nat )
= nil_char )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(815,plain,
! [SV39: list_n282880152tr_b_c] :
( ( ( nths_n1256675478tr_b_c @ SV39 @ bot_bot_set_nat )
= nil_no279930520tr_b_c )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(816,plain,
! [SV40: element_ptr_a > option_element_ptr_a] :
( ( ( bind_e22036734_ptr_a @ none_element_ptr_a @ SV40 )
= none_element_ptr_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(817,plain,
! [SV41: element_ptr_a > option2026120038on_j_k] :
( ( ( bind_e1012152651on_j_k @ none_element_ptr_a @ SV41 )
= none_S1393028981on_j_k )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(818,plain,
! [SV42: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( ( bind_S287509021_ptr_a @ none_S1393028981on_j_k @ SV42 )
= none_element_ptr_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(819,plain,
! [SV43: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( ( bind_S607117548on_j_k @ none_S1393028981on_j_k @ SV43 )
= none_S1393028981on_j_k )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(820,plain,
! [SV44: list_char] :
( ( ( append_char @ SV44 @ nil_char )
= SV44 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(821,plain,
! [SV45: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SV45 @ nil_no279930520tr_b_c )
= SV45 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(822,plain,
! [SV46: list_char] :
( ( ! [SY649: list_char] :
( ( ( append_char @ SV46 @ SY649 )
= SV46 )
= ( SY649 = nil_char ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(823,plain,
! [SV47: list_n282880152tr_b_c] :
( ( ! [SY650: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SV47 @ SY650 )
= SV47 )
= ( SY650 = nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(824,plain,
! [SV48: list_char] :
( ( ! [SY651: list_char] :
( ( SV48
= ( append_char @ SV48 @ SY651 ) )
= ( SY651 = nil_char ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(825,plain,
! [SV49: list_n282880152tr_b_c] :
( ( ! [SY652: list_n282880152tr_b_c] :
( ( SV49
= ( append846395565tr_b_c @ SV49 @ SY652 ) )
= ( SY652 = nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(826,plain,
! [SV50: list_char] :
( ( ! [SY653: list_char] :
( ( ( append_char @ SV50 @ SY653 )
= SY653 )
= ( SV50 = nil_char ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(827,plain,
! [SV51: list_n282880152tr_b_c] :
( ( ! [SY654: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SV51 @ SY654 )
= SY654 )
= ( SV51 = nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(828,plain,
! [SV52: list_char] :
( ( ! [SY655: list_char] :
( ( SV52
= ( append_char @ SY655 @ SV52 ) )
= ( SY655 = nil_char ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(829,plain,
! [SV53: list_n282880152tr_b_c] :
( ( ! [SY656: list_n282880152tr_b_c] :
( ( SV53
= ( append846395565tr_b_c @ SY656 @ SV53 ) )
= ( SY656 = nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(830,plain,
! [SV54: list_char] :
( ( ( append_char @ SV54 @ nil_char )
= SV54 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(831,plain,
! [SV55: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SV55 @ nil_no279930520tr_b_c )
= SV55 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(832,plain,
! [SV56: list_char] :
( ( ( append_char @ nil_char @ SV56 )
= SV56 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(833,plain,
! [SV57: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ nil_no279930520tr_b_c @ SV57 )
= SV57 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(834,plain,
! [SV58: list_char] :
( ( ( append_char @ nil_char @ SV58 )
= SV58 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(835,plain,
! [SV59: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ nil_no279930520tr_b_c @ SV59 )
= SV59 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(836,plain,
( ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(837,plain,
! [SV60: list_n282880152tr_b_c] :
( ( ! [SY657: list_n282880152tr_b_c,SY658: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ SV60 @ SY657 )
!= SY658 )
| ~ ( ( SV60 != nil_no279930520tr_b_c )
| ( SY658 != SY657 ) )
| ~ ! [SY659: node_p1234578834tr_b_c,SY660: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY659 @ SY660 ) )
| ( SY658
!= ( cons_n413985352tr_b_c @ SY659 @ ( splice1294941035tr_b_c @ SY657 @ SY660 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(838,plain,
! [SV61: list_char > list_char > $o] :
( ( ! [SY661: list_char,SY662: list_char] :
( ~ ( SV61 @ nil_char @ nil_char )
| ~ ! [SY663: char,SY664: list_char] : ( SV61 @ ( cons_char @ SY663 @ SY664 ) @ nil_char )
| ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) )
| ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SY661 @ SY662 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(839,plain,
! [SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ! [SY671: list_char,SY672: list_n282880152tr_b_c] :
( ~ ( SV62 @ nil_char @ nil_no279930520tr_b_c )
| ~ ! [SY673: char,SY674: list_char] : ( SV62 @ ( cons_char @ SY673 @ SY674 ) @ nil_no279930520tr_b_c )
| ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) )
| ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SY671 @ SY672 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(840,plain,
( ( ! [SV63: rObjec1413572695_j_k_l] :
( ( is_doc1417632087_j_k_l @ SV63 )
= ( ( cast_O1034441233_j_k_l @ SV63 )
!= none_R1587534007on_j_k ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[681]) ).
thf(841,plain,
( ( is_doc1417632087_j_k_l
= ( ^ [SX0: rObjec1413572695_j_k_l] :
( ( cast_O1034441233_j_k_l @ SX0 )
!= none_R1587534007on_j_k ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[681]) ).
thf(842,plain,
! [SV64: list_n282880152tr_b_c] :
( ( ! [SY681: list_n282880152tr_b_c > $o] :
( ~ ( ( SV64 != nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c] : ( SY681 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c,SX3: list_n282880152tr_b_c] :
( ~ ( ( SX3 != nil_no279930520tr_b_c ) )
| ~ ( SY681 @ SX3 )
| ( SY681 @ ( append846395565tr_b_c @ SX3 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) ) ) )
| ( SY681 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(843,plain,
! [SV65: list_char] :
( ( ! [SY685: char,SY686: list_char,SY687: char] :
( ( ( append_char @ SV65 @ ( cons_char @ SY685 @ nil_char ) )
= ( append_char @ SY686 @ ( cons_char @ SY687 @ nil_char ) ) )
= ( ~ ( ( SV65 != SY686 )
| ( SY685 != SY687 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(844,plain,
! [SV66: list_char > list_char > $o] :
( ( ! [SY688: list_char,SY689: list_char] :
( ~ ! [SY690: list_char] : ( SV66 @ nil_char @ SY690 )
| ~ ! [SY691: char,SY692: list_char,SY693: list_char] :
( ~ ( SV66 @ SY693 @ SY692 )
| ( SV66 @ ( cons_char @ SY691 @ SY692 ) @ SY693 ) )
| ( SV66 @ SY688 @ SY689 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(845,plain,
! [SV67: list_n282880152tr_b_c > $o] :
( ( ! [SY694: list_n282880152tr_b_c] :
( ~ ( SV67 @ nil_no279930520tr_b_c )
| ~ ! [SY695: node_p1234578834tr_b_c] : ( SV67 @ ( cons_n413985352tr_b_c @ SY695 @ nil_no279930520tr_b_c ) )
| ~ ! [SY696: node_p1234578834tr_b_c,SY697: node_p1234578834tr_b_c,SY698: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY698 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ SY696 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) ) ) )
| ( SV67 @ SY694 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(846,plain,
! [SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ! [SY699: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY700: list_n282880152tr_b_c] :
( ~ ! [SY701: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV68 @ SY701 @ nil_no279930520tr_b_c )
| ~ ! [SY702: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY703: node_p1234578834tr_b_c] : ( SV68 @ SY702 @ ( cons_n413985352tr_b_c @ SY703 @ nil_no279930520tr_b_c ) )
| ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SY699 @ SY700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(847,plain,
! [SV69: list_char] :
( ( ! [SY708: list_char > $o] :
( ~ ( ( SV69 != nil_char ) )
| ~ ! [SX2: char] : ( SY708 @ ( cons_char @ SX2 @ nil_char ) )
| ~ ! [SX2: char,SX3: list_char] :
( ~ ( ( SX3 != nil_char ) )
| ~ ( SY708 @ SX3 )
| ( SY708 @ ( cons_char @ SX2 @ SX3 ) ) )
| ( SY708 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(848,plain,
! [SV70: list_char] :
( ( ~ ( ( SV70 != nil_char ) )
| ~ ! [SY712: list_char,SY713: char] :
( SV70
!= ( append_char @ SY712 @ ( cons_char @ SY713 @ nil_char ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(849,plain,
! [SV71: option2026120038on_j_k] :
( ( ! [SY714: option2026120038on_j_k > option_element_ptr_a > $o,SY715: option_element_ptr_a] :
( ~ ( ( SV71 != none_S1393028981on_j_k )
| ( SY714 @ SV71 @ SY715 ) )
| ~ ( ( SY715 != none_element_ptr_a )
| ( SY714 @ SV71 @ SY715 ) )
| ~ ! [SY716: sum_su1221287958on_j_k,SY717: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY716 ) )
| ( SY715
!= ( some_element_ptr_a @ SY717 ) )
| ( SY714 @ SV71 @ SY715 ) )
| ( SY714 @ SV71 @ SY715 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(850,plain,
! [SV72: list_n282880152tr_b_c] :
( ( ! [SY718: list_n282880152tr_b_c,SY719: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ SV72 )
!= ( size_s2106487044tr_b_c @ SY718 ) )
| ~ ( SY719 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c,SX5: node_p1234578834tr_b_c,SX6: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SX4 )
!= ( size_s2106487044tr_b_c @ SX6 ) )
| ~ ( SY719 @ SX4 @ SX6 )
| ( SY719 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ ( cons_n413985352tr_b_c @ SX5 @ SX6 ) ) )
| ( SY719 @ SV72 @ SY718 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(851,plain,
! [SV73: option2026120038on_j_k > $o] :
( ( ! [SY724: option_element_ptr_a,SY725: element_ptr_a > option2026120038on_j_k] :
( ( SV73 @ ( bind_e1012152651on_j_k @ SY724 @ SY725 ) )
= ( ~ ( ~ ( ( SY724 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY726: element_ptr_a] :
~ ~ ( ( SY724
!= ( some_element_ptr_a @ SY726 ) )
| ~ ~ ( SV73 @ ( SY725 @ SY726 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(852,plain,
! [SV74: list_char > $o] :
( ( ! [SY727: list_char] :
( ~ ( SV74 @ nil_char )
| ~ ! [SY728: char,SY729: list_char] :
( ~ ( SV74 @ SY729 )
| ( SV74 @ ( append_char @ SY729 @ ( cons_char @ SY728 @ nil_char ) ) ) )
| ( SV74 @ SY727 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(853,plain,
! [SV75: option_element_ptr_a > $o] :
( ( ! [SY730: option2026120038on_j_k,SY731: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( SV75 @ ( bind_S287509021_ptr_a @ SY730 @ SY731 ) )
= ( ~ ( ~ ( ( SY730 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY732: sum_su1221287958on_j_k] :
~ ~ ( ( SY730
!= ( some_S1960742641on_j_k @ SY732 ) )
| ~ ~ ( SV75 @ ( SY731 @ SY732 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(854,plain,
! [SV76: option_element_ptr_a] :
( ( ! [SY733: option_element_ptr_a > option2026120038on_j_k > $o,SY734: option2026120038on_j_k] :
( ~ ( ( SV76 != none_element_ptr_a )
| ( SY733 @ SV76 @ SY734 ) )
| ~ ( ( SY734 != none_S1393028981on_j_k )
| ( SY733 @ SV76 @ SY734 ) )
| ~ ! [SY735: element_ptr_a,SY736: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY735 ) )
| ( SY734
!= ( some_S1960742641on_j_k @ SY736 ) )
| ( SY733 @ SV76 @ SY734 ) )
| ( SY733 @ SV76 @ SY734 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(855,plain,
! [SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ! [SY737: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY738: list_n282880152tr_b_c] :
( ~ ! [SY739: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV77 @ SY739 @ nil_no279930520tr_b_c )
| ~ ! [SY740: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY741: node_p1234578834tr_b_c,SY742: list_n282880152tr_b_c] :
( ~ ( SV77 @ SY740 @ SY742 )
| ( SV77 @ SY740 @ ( cons_n413985352tr_b_c @ SY741 @ SY742 ) ) )
| ( SV77 @ SY737 @ SY738 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(856,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= ( ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(857,plain,
! [SV79: ( char > char > $o ) > list_char > $o] :
( ( ! [SY744: char > char > $o,SY745: list_char] :
( ~ ! [SY746: char > char > $o] : ( SV79 @ SY746 @ nil_char )
| ~ ! [SY747: char > char > $o,SY748: char,SY749: list_char] :
( ~ ( SV79 @ SY747 @ SY749 )
| ( SV79 @ SY747 @ ( cons_char @ SY748 @ SY749 ) ) )
| ( SV79 @ SY744 @ SY745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(858,plain,
! [SV80: rObjec1617416918on_j_k] :
( ( ~ ! [SY750: product_unit,SY751: product_unit,SY752: list_char,SY753: option_element_ptr_a,SY754: list_n282880152tr_b_c,SY755: option2026120038on_j_k] :
( SV80
!= ( rObjec1303043984on_j_k @ SY750 @ ( rDocum427676485on_j_k @ SY751 @ SY752 @ SY753 @ SY754 @ SY755 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(859,plain,
! [SV81: list_char > list_char > $o] :
( ( ! [SY756: list_char,SY757: list_char] :
( ~ ! [SY758: list_char] : ( SV81 @ nil_char @ SY758 )
| ~ ! [SY759: list_char] : ( SV81 @ SY759 @ nil_char )
| ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) )
| ( SV81 @ SY756 @ SY757 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(860,plain,
! [SV82: list_char > $o] :
( ( ! [SY764: list_char] :
( ~ ( SV82 @ nil_char )
| ~ ! [SY765: char] : ( SV82 @ ( cons_char @ SY765 @ nil_char ) )
| ~ ! [SY766: char,SY767: char,SY768: list_char] :
( ~ ( ( SY766 != SY767 )
| ( SV82 @ ( cons_char @ SY766 @ SY768 ) ) )
| ~ ( ~ ( ( SY766 != SY767 ) )
| ( SV82 @ ( cons_char @ SY767 @ SY768 ) ) )
| ( SV82 @ ( cons_char @ SY766 @ ( cons_char @ SY767 @ SY768 ) ) ) )
| ( SV82 @ SY764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(861,plain,
! [SV83: list_n282880152tr_b_c] :
( ( ! [SY769: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SV83 @ SY769 )
= nil_no279930520tr_b_c )
= ( ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SY769 != nil_no279930520tr_b_c ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(862,plain,
! [SV84: rObjec1617416918on_j_k] :
( ( ~ ! [SY770: product_unit,SY771: rDocum326988203on_j_k] :
( SV84
!= ( rObjec1303043984on_j_k @ SY770 @ SY771 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(863,plain,
! [SV85: list_n282880152tr_b_c] :
( ( ~ ( ( SV85 != nil_no279930520tr_b_c ) )
| ~ ! [SY772: node_p1234578834tr_b_c,SY773: list_n282880152tr_b_c] :
( SV85
!= ( cons_n413985352tr_b_c @ SY772 @ SY773 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(864,plain,
! [SV86: option_element_ptr_a > $o] :
( ( ! [SY774: option_element_ptr_a,SY775: element_ptr_a > option_element_ptr_a] :
( ( SV86 @ ( bind_e22036734_ptr_a @ SY774 @ SY775 ) )
= ( ~ ( ~ ( ( SY774 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY776: element_ptr_a] :
~ ~ ( ( SY774
!= ( some_element_ptr_a @ SY776 ) )
| ~ ~ ( SV86 @ ( SY775 @ SY776 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(865,plain,
! [SV87: option2026120038on_j_k > $o] :
( ( ! [SY777: option_element_ptr_a,SY778: element_ptr_a > option2026120038on_j_k] :
( ( SV87 @ ( bind_e1012152651on_j_k @ SY777 @ SY778 ) )
= ( ~ ( ~ ( ( SY777 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY779: element_ptr_a] :
( ( SY777
!= ( some_element_ptr_a @ SY779 ) )
| ( SV87 @ ( SY778 @ SY779 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(866,plain,
! [SV88: list_n282880152tr_b_c] :
( ( ! [SY780: node_p1234578834tr_b_c,SY781: list_n282880152tr_b_c,SY782: node_p1234578834tr_b_c] :
( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SY780 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SY781 @ ( cons_n413985352tr_b_c @ SY782 @ nil_no279930520tr_b_c ) ) )
= ( ~ ( ( SV88 != SY781 )
| ( SY780 != SY782 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(867,plain,
! [SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ! [SY783: list_n282880152tr_b_c,SY784: list_n282880152tr_b_c] :
( ~ ! [SY785: list_n282880152tr_b_c] : ( SV89 @ nil_no279930520tr_b_c @ SY785 )
| ~ ! [SY786: node_p1234578834tr_b_c,SY787: list_n282880152tr_b_c,SY788: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY788 @ SY787 )
| ( SV89 @ ( cons_n413985352tr_b_c @ SY786 @ SY787 ) @ SY788 ) )
| ( SV89 @ SY783 @ SY784 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(868,plain,
! [SV90: rObjec103300152t_unit > $o] :
( ( ! [SY789: rObjec103300152t_unit] :
( ~ ! [SY790: product_unit] : ( SV90 @ ( rObjec730108904t_unit @ SY790 @ product_Unity ) )
| ( SV90 @ SY789 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(869,plain,
! [SV91: rObjec103300152t_unit] :
( ( ~ ! [SY791: product_unit] :
( SV91
!= ( rObjec730108904t_unit @ SY791 @ product_Unity ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(870,plain,
! [SV92: option_element_ptr_a] :
( ( ( ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) ) )
= ( SV92 = none_element_ptr_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(871,plain,
! [SV93: list_char] :
( ( ! [SY793: list_char > $o] :
( ~ ( ( SV93 != nil_char ) )
| ~ ! [SX2: char] : ( SY793 @ ( cons_char @ SX2 @ nil_char ) )
| ~ ! [SX2: char,SX3: list_char] :
( ~ ( ( SX3 != nil_char ) )
| ~ ( SY793 @ SX3 )
| ( SY793 @ ( append_char @ SX3 @ ( cons_char @ SX2 @ nil_char ) ) ) )
| ( SY793 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(872,plain,
! [SV94: list_n282880152tr_b_c] :
( ( ! [SY797: list_n282880152tr_b_c] :
( ( SV94 != SY797 )
| ( SV94
= ( append846395565tr_b_c @ nil_no279930520tr_b_c @ SY797 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(873,plain,
! [SV95: char] :
( ( ! [SY798: list_char,SY799: list_char,SY800: list_char] :
( ( ( cons_char @ SV95 @ SY798 )
= ( append_char @ SY799 @ SY800 ) )
= ( ~ ( ( SY799 != nil_char )
| ( ( cons_char @ SV95 @ SY798 )
!= SY800 ) )
| ~ ! [SY801: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY801 )
!= SY799 )
| ( SY798
!= ( append_char @ SY801 @ SY800 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(874,plain,
! [SV96: list_char > $o] :
( ( ! [SY802: list_char] :
( ~ ( SV96 @ nil_char )
| ~ ! [SY803: char,SY804: list_char] :
( ~ ( SV96 @ SY804 )
| ( SV96 @ ( cons_char @ SY803 @ SY804 ) ) )
| ( SV96 @ SY802 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(875,plain,
! [SV97: node_p1234578834tr_b_c] :
( ( ! [SY805: list_n282880152tr_b_c,SY806: list_n282880152tr_b_c,SY807: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ SV97 @ SY805 )
= ( append846395565tr_b_c @ SY806 @ SY807 ) )
= ( ~ ( ( SY806 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SY805 )
!= SY807 ) )
| ~ ! [SY808: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY808 )
!= SY806 )
| ( SY805
!= ( append846395565tr_b_c @ SY808 @ SY807 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(876,plain,
! [SV98: option2026120038on_j_k] :
( ( ! [SY809: option2026120038on_j_k > option2026120038on_j_k > $o,SY810: option2026120038on_j_k] :
( ~ ( ( SV98 != none_S1393028981on_j_k )
| ( SY809 @ SV98 @ SY810 ) )
| ~ ( ( SY810 != none_S1393028981on_j_k )
| ( SY809 @ SV98 @ SY810 ) )
| ~ ! [SY811: sum_su1221287958on_j_k,SY812: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY811 ) )
| ( SY810
!= ( some_S1960742641on_j_k @ SY812 ) )
| ( SY809 @ SV98 @ SY810 ) )
| ( SY809 @ SV98 @ SY810 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(877,plain,
! [SV99: option_element_ptr_a > $o] :
( ( ! [SY813: option2026120038on_j_k,SY814: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( SV99 @ ( bind_S287509021_ptr_a @ SY813 @ SY814 ) )
= ( ~ ( ~ ( ( SY813 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY815: sum_su1221287958on_j_k] :
( ( SY813
!= ( some_S1960742641on_j_k @ SY815 ) )
| ( SV99 @ ( SY814 @ SY815 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(878,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ~ ( ( SV100 != nil_li198338206tr_b_c ) )
| ~ ! [SY816: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ SY816 ) )
| ~ ! [SY817: node_p1234578834tr_b_c,SY818: list_n282880152tr_b_c,SY819: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SY817 @ SY818 ) @ SY819 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(879,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( SV101 != nil_no279930520tr_b_c )
= ( ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(880,plain,
! [SV102: list_char > $o] :
( ( ! [SY822: list_char] :
( ~ ( SV102 @ nil_char )
| ~ ! [SY823: char] : ( SV102 @ ( cons_char @ SY823 @ nil_char ) )
| ~ ! [SY824: char,SY825: char,SY826: list_char] :
( ~ ( SV102 @ SY826 )
| ~ ( SV102 @ ( cons_char @ SY825 @ SY826 ) )
| ( SV102 @ ( cons_char @ SY824 @ ( cons_char @ SY825 @ SY826 ) ) ) )
| ( SV102 @ SY822 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(881,plain,
! [SV103: list_n282880152tr_b_c] :
( ( ! [SY827: node_p1234578834tr_b_c,SY828: list_n282880152tr_b_c] :
( ( SV103
!= ( cons_n413985352tr_b_c @ SY827 @ SY828 ) )
| ( SV103 != nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(882,plain,
( ( ! [SV104: option2026120038on_j_k > $o] :
( ( ! [SY829: option2026120038on_j_k] : ( SV104 @ SY829 ) )
= ( ~ ( ~ ( SV104 @ none_S1393028981on_j_k )
| ~ ! [SY830: sum_su1221287958on_j_k] : ( SV104 @ ( some_S1960742641on_j_k @ SY830 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[722]) ).
thf(883,plain,
( ( ( ^ [SX0: option2026120038on_j_k > $o] :
! [SX1: option2026120038on_j_k] : ( SX0 @ SX1 ) )
= ( ^ [SX0: option2026120038on_j_k > $o] :
~ ( ~ ( SX0 @ none_S1393028981on_j_k )
| ~ ! [SX1: sum_su1221287958on_j_k] : ( SX0 @ ( some_S1960742641on_j_k @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[722]) ).
thf(884,plain,
! [SV105: option2026120038on_j_k] :
( ( ( SV105 != none_S1393028981on_j_k )
= ( ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(885,plain,
! [SV106: list_char] :
( ( ! [SY832: list_char,SY833: list_char,SY834: list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ SV106 )
!= ( size_size_list_char @ SY832 ) )
| ( ( size_size_list_char @ SY832 )
!= ( size_size_list_char @ SY833 ) )
| ~ ( SY834 @ nil_char @ nil_char @ nil_char )
| ~ ! [SX4: char,SX5: list_char,SX6: char,SX7: list_char,SX8: char,SX9: list_char] :
( ( ( size_size_list_char @ SX5 )
!= ( size_size_list_char @ SX7 ) )
| ( ( size_size_list_char @ SX7 )
!= ( size_size_list_char @ SX9 ) )
| ~ ( SY834 @ SX5 @ SX7 @ SX9 )
| ( SY834 @ ( cons_char @ SX4 @ SX5 ) @ ( cons_char @ SX6 @ SX7 ) @ ( cons_char @ SX8 @ SX9 ) ) )
| ( SY834 @ SV106 @ SY832 @ SY833 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(886,plain,
! [SV107: rObjec1617416918on_j_k > $o] :
( ( ! [SY841: rObjec1617416918on_j_k] :
( ~ ! [SY842: product_unit,SY843: rDocum326988203on_j_k] : ( SV107 @ ( rObjec1303043984on_j_k @ SY842 @ SY843 ) )
| ( SV107 @ SY841 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(887,plain,
! [SV108: list_char] :
( ( ~ ( ( SV108 != nil_char ) )
| ~ ! [SY844: char] :
( SV108
!= ( cons_char @ SY844 @ nil_char ) )
| ~ ! [SY845: char,SY846: char,SY847: list_char] :
( SV108
!= ( cons_char @ SY845 @ ( cons_char @ SY846 @ SY847 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(888,plain,
! [SV109: list_n282880152tr_b_c] :
( ( ~ ( ( SV109 != nil_no279930520tr_b_c ) )
| ~ ! [SY848: list_n282880152tr_b_c,SY849: node_p1234578834tr_b_c] :
( SV109
!= ( append846395565tr_b_c @ SY848 @ ( cons_n413985352tr_b_c @ SY849 @ nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(889,plain,
! [SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ! [SY850: list_n282880152tr_b_c,SY851: list_n282880152tr_b_c] :
( ~ ! [SY852: list_n282880152tr_b_c] : ( SV110 @ nil_no279930520tr_b_c @ SY852 )
| ~ ! [SY853: list_n282880152tr_b_c] : ( SV110 @ SY853 @ nil_no279930520tr_b_c )
| ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) )
| ( SV110 @ SY850 @ SY851 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(890,plain,
! [SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ! [SY858: list_n282880152tr_b_c,SY859: list_n282880152tr_b_c] :
( ~ ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY860: node_p1234578834tr_b_c,SY861: list_n282880152tr_b_c] : ( SV111 @ ( cons_n413985352tr_b_c @ SY860 @ SY861 ) @ nil_no279930520tr_b_c )
| ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) )
| ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SY858 @ SY859 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(891,plain,
( ( ! [SV112: option2026120038on_j_k > $o] :
( ( ~ ! [SY868: option2026120038on_j_k] :
~ ( SV112 @ SY868 ) )
= ( ( SV112 @ none_S1393028981on_j_k )
| ~ ! [SY869: sum_su1221287958on_j_k] :
~ ( SV112 @ ( some_S1960742641on_j_k @ SY869 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[730]) ).
thf(892,plain,
( ( ( ^ [SX0: option2026120038on_j_k > $o] :
~ ! [SX1: option2026120038on_j_k] :
~ ( SX0 @ SX1 ) )
= ( ^ [SX0: option2026120038on_j_k > $o] :
( ( SX0 @ none_S1393028981on_j_k )
| ~ ! [SX1: sum_su1221287958on_j_k] :
~ ( SX0 @ ( some_S1960742641on_j_k @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[730]) ).
thf(893,plain,
! [SV113: rObjec1617416918on_j_k > $o] :
( ( ! [SY870: rObjec1617416918on_j_k] :
( ~ ! [SY871: product_unit,SY872: product_unit,SY873: list_char,SY874: option_element_ptr_a,SY875: list_n282880152tr_b_c,SY876: option2026120038on_j_k] : ( SV113 @ ( rObjec1303043984on_j_k @ SY871 @ ( rDocum427676485on_j_k @ SY872 @ SY873 @ SY874 @ SY875 @ SY876 ) ) )
| ( SV113 @ SY870 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(894,plain,
! [SV114: list_char] :
( ( ! [SY877: char,SY878: list_char] :
( ( SV114
!= ( cons_char @ SY877 @ SY878 ) )
| ( SV114 != nil_char ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(895,plain,
! [SV115: char] :
( ( ! [SY879: list_char] :
( nil_char
!= ( cons_char @ SV115 @ SY879 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(896,plain,
! [SV116: list_n282880152tr_b_c] :
( ( ! [SY880: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ SV116 @ SY880 )
= nil_no279930520tr_b_c )
= ( ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SY880 != nil_no279930520tr_b_c ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(897,plain,
! [SV117: list_n282880152tr_b_c > $o] :
( ( ! [SY881: list_n282880152tr_b_c] :
( ~ ( SV117 @ nil_no279930520tr_b_c )
| ~ ! [SY882: node_p1234578834tr_b_c] : ( SV117 @ ( cons_n413985352tr_b_c @ SY882 @ nil_no279930520tr_b_c ) )
| ~ ! [SY883: node_p1234578834tr_b_c,SY884: node_p1234578834tr_b_c,SY885: list_n282880152tr_b_c] :
( ~ ( ( SY883 != SY884 )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ SY885 ) ) )
| ~ ( ~ ( ( SY883 != SY884 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) ) )
| ( SV117 @ SY881 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(898,plain,
! [SV118: list_list_char] :
( ( ~ ( ( SV118 != nil_list_char ) )
| ~ ! [SY886: list_list_char] :
( SV118
!= ( cons_list_char @ nil_char @ SY886 ) )
| ~ ! [SY887: char,SY888: list_char,SY889: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ SY887 @ SY888 ) @ SY889 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(899,plain,
( ( ! [SV119: option_element_ptr_a > $o] :
( ( ~ ! [SY890: option_element_ptr_a] :
~ ( SV119 @ SY890 ) )
= ( ( SV119 @ none_element_ptr_a )
| ~ ! [SY891: element_ptr_a] :
~ ( SV119 @ ( some_element_ptr_a @ SY891 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[737]) ).
thf(900,plain,
( ( ( ^ [SX0: option_element_ptr_a > $o] :
~ ! [SX1: option_element_ptr_a] :
~ ( SX0 @ SX1 ) )
= ( ^ [SX0: option_element_ptr_a > $o] :
( ( SX0 @ none_element_ptr_a )
| ~ ! [SX1: element_ptr_a] :
~ ( SX0 @ ( some_element_ptr_a @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[737]) ).
thf(901,plain,
! [SV120: list_n282880152tr_b_c] :
( ( ! [SY892: list_n282880152tr_b_c,SY893: list_n282880152tr_b_c,SY894: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ SV120 )
!= ( size_s2106487044tr_b_c @ SY892 ) )
| ( ( size_s2106487044tr_b_c @ SY892 )
!= ( size_s2106487044tr_b_c @ SY893 ) )
| ~ ( SY894 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SX4: node_p1234578834tr_b_c,SX5: list_n282880152tr_b_c,SX6: node_p1234578834tr_b_c,SX7: list_n282880152tr_b_c,SX8: node_p1234578834tr_b_c,SX9: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SX5 )
!= ( size_s2106487044tr_b_c @ SX7 ) )
| ( ( size_s2106487044tr_b_c @ SX7 )
!= ( size_s2106487044tr_b_c @ SX9 ) )
| ~ ( SY894 @ SX5 @ SX7 @ SX9 )
| ( SY894 @ ( cons_n413985352tr_b_c @ SX4 @ SX5 ) @ ( cons_n413985352tr_b_c @ SX6 @ SX7 ) @ ( cons_n413985352tr_b_c @ SX8 @ SX9 ) ) )
| ( SY894 @ SV120 @ SY892 @ SY893 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(902,plain,
! [SV121: list_char] :
( ( ! [SY901: list_char] :
( ( ( splice_char @ SV121 @ SY901 )
= nil_char )
= ( ~ ( ( SV121 != nil_char )
| ( SY901 != nil_char ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(903,plain,
! [SV122: list_char] :
( ( ! [SY902: list_char] :
( ( nil_char
= ( append_char @ SV122 @ SY902 ) )
= ( ~ ( ( SV122 != nil_char )
| ( SY902 != nil_char ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(904,plain,
! [SV123: list_char] :
( ( ! [SY903: list_char] :
( ( ( append_char @ SV123 @ SY903 )
= nil_char )
= ( ~ ( ( SV123 != nil_char )
| ( SY903 != nil_char ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(905,plain,
! [SV124: list_char] :
( ( ! [SY904: list_char,SY905: list_char,SY906: list_char,SY907: list_char > list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ SV124 )
!= ( size_size_list_char @ SY904 ) )
| ( ( size_size_list_char @ SY904 )
!= ( size_size_list_char @ SY905 ) )
| ( ( size_size_list_char @ SY905 )
!= ( size_size_list_char @ SY906 ) )
| ~ ( SY907 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SX5: char,SX6: list_char,SX7: char,SX8: list_char,SX9: char,SX10: list_char,SX11: char,SX12: list_char] :
( ( ( size_size_list_char @ SX6 )
!= ( size_size_list_char @ SX8 ) )
| ( ( size_size_list_char @ SX8 )
!= ( size_size_list_char @ SX10 ) )
| ( ( size_size_list_char @ SX10 )
!= ( size_size_list_char @ SX12 ) )
| ~ ( SY907 @ SX6 @ SX8 @ SX10 @ SX12 )
| ( SY907 @ ( cons_char @ SX5 @ SX6 ) @ ( cons_char @ SX7 @ SX8 ) @ ( cons_char @ SX9 @ SX10 ) @ ( cons_char @ SX11 @ SX12 ) ) )
| ( SY907 @ SV124 @ SY904 @ SY905 @ SY906 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(906,plain,
! [SV125: product_unit] :
( ( ! [SY916: rDocum326988203on_j_k,SY917: product_unit,SY918: rDocum326988203on_j_k] :
( ( ( rObjec1303043984on_j_k @ SV125 @ SY916 )
= ( rObjec1303043984on_j_k @ SY917 @ SY918 ) )
= ( ~ ( ( SV125 != SY917 )
| ( SY916 != SY918 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(907,plain,
! [SV126: option2026120038on_j_k] :
( ( ! [SY919: sum_su1221287958on_j_k] :
( ( SV126
!= ( some_S1960742641on_j_k @ SY919 ) )
| ( SV126 != none_S1393028981on_j_k ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(908,plain,
! [SV127: product_unit] :
( ( ! [SY920: list_char,SY921: option_element_ptr_a,SY922: list_n282880152tr_b_c,SY923: option2026120038on_j_k,SY924: product_unit,SY925: list_char,SY926: option_element_ptr_a,SY927: list_n282880152tr_b_c,SY928: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SV127 @ SY920 @ SY921 @ SY922 @ SY923 )
= ( rDocum427676485on_j_k @ SY924 @ SY925 @ SY926 @ SY927 @ SY928 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SY924 )
| ( SY920 != SY925 ) )
| ( SY921 != SY926 ) )
| ( SY922 != SY927 ) )
| ( SY923 != SY928 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(909,plain,
! [SV128: option2026120038on_j_k > $o] :
( ( ! [SY929: option2026120038on_j_k,SY930: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( SV128 @ ( bind_S607117548on_j_k @ SY929 @ SY930 ) )
= ( ~ ( ~ ( ( SY929 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY931: sum_su1221287958on_j_k] :
( ( SY929
!= ( some_S1960742641on_j_k @ SY931 ) )
| ( SV128 @ ( SY930 @ SY931 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(910,plain,
! [SV129: list_n282880152tr_b_c] :
( ( ! [SY932: list_n282880152tr_b_c > $o] :
( ~ ( ( SV129 != nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c] : ( SY932 @ ( cons_n413985352tr_b_c @ SX2 @ nil_no279930520tr_b_c ) )
| ~ ! [SX2: node_p1234578834tr_b_c,SX3: list_n282880152tr_b_c] :
( ~ ( ( SX3 != nil_no279930520tr_b_c ) )
| ~ ( SY932 @ SX3 )
| ( SY932 @ ( cons_n413985352tr_b_c @ SX2 @ SX3 ) ) )
| ( SY932 @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(911,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) ) )
= ( SV130 = none_S1393028981on_j_k ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(912,plain,
! [SV131: option_element_ptr_a] :
( ( ! [SY937: element_ptr_a] :
( ( SV131
!= ( some_element_ptr_a @ SY937 ) )
| ( SV131 != none_element_ptr_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(913,plain,
( ( ! [SV132: option_element_ptr_a > $o] :
( ( ! [SY938: option_element_ptr_a] : ( SV132 @ SY938 ) )
= ( ~ ( ~ ( SV132 @ none_element_ptr_a )
| ~ ! [SY939: element_ptr_a] : ( SV132 @ ( some_element_ptr_a @ SY939 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[750]) ).
thf(914,plain,
( ( ( ^ [SX0: option_element_ptr_a > $o] :
! [SX1: option_element_ptr_a] : ( SX0 @ SX1 ) )
= ( ^ [SX0: option_element_ptr_a > $o] :
~ ( ~ ( SX0 @ none_element_ptr_a )
| ~ ! [SX1: element_ptr_a] : ( SX0 @ ( some_element_ptr_a @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[750]) ).
thf(915,plain,
! [SV133: option_element_ptr_a] :
( ( ! [SY940: option_element_ptr_a > option_element_ptr_a > $o,SY941: option_element_ptr_a] :
( ~ ( ( SV133 != none_element_ptr_a )
| ( SY940 @ SV133 @ SY941 ) )
| ~ ( ( SY941 != none_element_ptr_a )
| ( SY940 @ SV133 @ SY941 ) )
| ~ ! [SY942: element_ptr_a,SY943: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY942 ) )
| ( SY941
!= ( some_element_ptr_a @ SY943 ) )
| ( SY940 @ SV133 @ SY941 ) )
| ( SY940 @ SV133 @ SY941 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(916,plain,
! [SV134: list_n282880152tr_b_c > $o] :
( ( ! [SY944: list_n282880152tr_b_c] :
( ~ ( SV134 @ nil_no279930520tr_b_c )
| ~ ! [SY945: node_p1234578834tr_b_c,SY946: list_n282880152tr_b_c] :
( ~ ( SV134 @ SY946 )
| ( SV134 @ ( append846395565tr_b_c @ SY946 @ ( cons_n413985352tr_b_c @ SY945 @ nil_no279930520tr_b_c ) ) ) )
| ( SV134 @ SY944 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(917,plain,
! [SV135: element_ptr_a] :
( ( none_element_ptr_a
!= ( some_element_ptr_a @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(918,plain,
! [SV136: option_element_ptr_a > $o] :
( ( ! [SY947: option_element_ptr_a,SY948: element_ptr_a > option_element_ptr_a] :
( ( SV136 @ ( bind_e22036734_ptr_a @ SY947 @ SY948 ) )
= ( ~ ( ~ ( ( SY947 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY949: element_ptr_a] :
( ( SY947
!= ( some_element_ptr_a @ SY949 ) )
| ( SV136 @ ( SY948 @ SY949 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(919,plain,
! [SV137: list_char] :
( ( ( SV137 != nil_char )
= ( ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(920,plain,
! [SV138: list_char] :
( ( ! [SY952: list_char,SY953: char,SY954: list_char] :
( ( ( append_char @ SV138 @ SY952 )
= ( cons_char @ SY953 @ SY954 ) )
= ( ~ ( ( SV138 != nil_char )
| ( SY952
!= ( cons_char @ SY953 @ SY954 ) ) )
| ~ ! [SY955: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SY953 @ SY955 ) )
| ( ( append_char @ SY955 @ SY952 )
!= SY954 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(921,plain,
! [SV139: ( char > char > $o ) > list_char > $o] :
( ( ! [SY956: char > char > $o,SY957: list_char] :
( ~ ! [SY958: char > char > $o] : ( SV139 @ SY958 @ nil_char )
| ~ ! [SY959: char > char > $o,SY960: char] : ( SV139 @ SY959 @ ( cons_char @ SY960 @ nil_char ) )
| ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SY956 @ SY957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(922,plain,
! [SV140: option_element_ptr_a] :
( ( ( SV140 != none_element_ptr_a )
= ( ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(923,plain,
! [SV141: option2026120038on_j_k > $o] :
( ( ! [SY966: option2026120038on_j_k] :
( ~ ( SV141 @ none_S1393028981on_j_k )
| ~ ! [SY967: sum_su1221287958on_j_k] : ( SV141 @ ( some_S1960742641on_j_k @ SY967 ) )
| ( SV141 @ SY966 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(924,plain,
! [SV142: list_n282880152tr_b_c > $o] :
( ( ! [SY968: list_n282880152tr_b_c] :
( ~ ( SV142 @ nil_no279930520tr_b_c )
| ~ ! [SY969: node_p1234578834tr_b_c,SY970: list_n282880152tr_b_c] :
( ~ ( SV142 @ SY970 )
| ( SV142 @ ( cons_n413985352tr_b_c @ SY969 @ SY970 ) ) )
| ( SV142 @ SY968 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(925,plain,
! [SV143: list_char] :
( ( ! [SY971: list_char] :
( ( SV143 != SY971 )
| ( SV143
= ( append_char @ nil_char @ SY971 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(926,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ~ ( ( SV144 != nil_no279930520tr_b_c ) )
| ~ ! [SY972: node_p1234578834tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY972 @ nil_no279930520tr_b_c ) )
| ~ ! [SY973: node_p1234578834tr_b_c,SY974: node_p1234578834tr_b_c,SY975: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY973 @ ( cons_n413985352tr_b_c @ SY974 @ SY975 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(927,plain,
! [SV145: option_element_ptr_a > $o] :
( ( ! [SY976: option_element_ptr_a] :
( ~ ( SV145 @ none_element_ptr_a )
| ~ ! [SY977: element_ptr_a] : ( SV145 @ ( some_element_ptr_a @ SY977 ) )
| ( SV145 @ SY976 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(928,plain,
! [SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ! [SY978: list_n282880152tr_b_c,SY979: list_char] :
( ~ ( SV146 @ nil_no279930520tr_b_c @ nil_char )
| ~ ! [SY980: node_p1234578834tr_b_c,SY981: list_n282880152tr_b_c] : ( SV146 @ ( cons_n413985352tr_b_c @ SY980 @ SY981 ) @ nil_char )
| ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) )
| ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SY978 @ SY979 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(929,plain,
! [SV147: list_char] :
( ( ! [SY988: list_char,SY989: list_char > list_char > $o] :
( ( ( size_size_list_char @ SV147 )
!= ( size_size_list_char @ SY988 ) )
| ~ ( SY989 @ nil_char @ nil_char )
| ~ ! [SX3: char,SX4: list_char,SX5: char,SX6: list_char] :
( ( ( size_size_list_char @ SX4 )
!= ( size_size_list_char @ SX6 ) )
| ~ ( SY989 @ SX4 @ SX6 )
| ( SY989 @ ( cons_char @ SX3 @ SX4 ) @ ( cons_char @ SX5 @ SX6 ) ) )
| ( SY989 @ SV147 @ SY988 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(930,plain,
! [SV148: option_element_ptr_a] :
( ( ~ ( ( SV148 != none_element_ptr_a ) )
| ~ ! [SY994: element_ptr_a] :
( SV148
!= ( some_element_ptr_a @ SY994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(931,plain,
! [SV149: option2026120038on_j_k > $o] :
( ( ! [SY995: option2026120038on_j_k,SY996: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( SV149 @ ( bind_S607117548on_j_k @ SY995 @ SY996 ) )
= ( ~ ( ~ ( ( SY995 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY997: sum_su1221287958on_j_k] :
~ ~ ( ( SY995
!= ( some_S1960742641on_j_k @ SY997 ) )
| ~ ~ ( SV149 @ ( SY996 @ SY997 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(932,plain,
! [SV150: list_n282880152tr_b_c] :
( ( ! [SY998: list_n282880152tr_b_c,SY999: node_p1234578834tr_b_c,SY1000: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SV150 @ SY998 )
= ( cons_n413985352tr_b_c @ SY999 @ SY1000 ) )
= ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SY998
!= ( cons_n413985352tr_b_c @ SY999 @ SY1000 ) ) )
| ~ ! [SY1001: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SY999 @ SY1001 ) )
| ( ( append846395565tr_b_c @ SY1001 @ SY998 )
!= SY1000 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(933,plain,
! [SV151: list_char] :
( ( ! [SY1002: list_char,SY1003: list_char] :
( ( ( splice_char @ SV151 @ SY1002 )
!= SY1003 )
| ~ ( ( SV151 != nil_char )
| ( SY1003 != SY1002 ) )
| ~ ! [SY1004: char,SY1005: list_char] :
( ( SV151
!= ( cons_char @ SY1004 @ SY1005 ) )
| ( SY1003
!= ( cons_char @ SY1004 @ ( splice_char @ SY1002 @ SY1005 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(934,plain,
! [SV152: option2026120038on_j_k] :
( ( ~ ( ( SV152 != none_S1393028981on_j_k ) )
| ~ ! [SY1006: sum_su1221287958on_j_k] :
( SV152
!= ( some_S1960742641on_j_k @ SY1006 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(935,plain,
! [SV153: rDocum326988203on_j_k > $o] :
( ( ! [SY1007: rDocum326988203on_j_k] :
( ~ ! [SY1008: product_unit,SY1009: list_char,SY1010: option_element_ptr_a,SY1011: list_n282880152tr_b_c,SY1012: option2026120038on_j_k] : ( SV153 @ ( rDocum427676485on_j_k @ SY1008 @ SY1009 @ SY1010 @ SY1011 @ SY1012 ) )
| ( SV153 @ SY1007 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(936,plain,
! [SV154: node_p1234578834tr_b_c] :
( ( ! [SY1013: list_n282880152tr_b_c] :
( nil_no279930520tr_b_c
!= ( cons_n413985352tr_b_c @ SV154 @ SY1013 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(937,plain,
! [SV155: sum_su1221287958on_j_k] :
( ( none_S1393028981on_j_k
!= ( some_S1960742641on_j_k @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(938,plain,
! [SV156: list_n282880152tr_b_c] :
( ( ! [SY1014: list_n282880152tr_b_c] :
( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SY1014 ) )
= ( ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SY1014 != nil_no279930520tr_b_c ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(939,plain,
! [SV157: list_char] :
( ( ~ ( ( SV157 != nil_char ) )
| ~ ! [SY1015: char,SY1016: list_char] :
( SV157
!= ( cons_char @ SY1015 @ SY1016 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(940,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= ( SV1 = SV158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(941,plain,
! [SV159: docume1935157360tr_d_e] :
( ( ( put_D_2126422573_h_i_l @ SV159 )
= ( ^ [SY1017: rObjec1617416918on_j_k] : ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ SV159 ) @ ( cast_D1252964113_h_i_l @ SY1017 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(942,plain,
! [SV160: product_unit,SV5: product_unit > product_unit] :
( ( ! [SY1018: product_unit,SY1019: list_char,SY1020: option_element_ptr_a,SY1021: list_n282880152tr_b_c,SY1022: option2026120038on_j_k] :
( ( nothin1105341917on_j_k @ SV5 @ ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ SY1018 @ SY1019 @ SY1020 @ SY1021 @ SY1022 ) ) )
= ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ ( SV5 @ SY1018 ) @ SY1019 @ SY1020 @ SY1021 @ SY1022 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(943,plain,
! [SV161: product_unit,SV6: list_char > list_char] :
( ( ! [SY1023: product_unit,SY1024: list_char,SY1025: option_element_ptr_a,SY1026: list_n282880152tr_b_c,SY1027: option2026120038on_j_k] :
( ( doctyp68000440on_j_k @ SV6 @ ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SY1023 @ SY1024 @ SY1025 @ SY1026 @ SY1027 ) ) )
= ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SY1023 @ ( SV6 @ SY1024 ) @ SY1025 @ SY1026 @ SY1027 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(944,plain,
! [SV162: product_unit,SV7: option_element_ptr_a > option_element_ptr_a] :
( ( ! [SY1028: product_unit,SY1029: list_char,SY1030: option_element_ptr_a,SY1031: list_n282880152tr_b_c,SY1032: option2026120038on_j_k] :
( ( docume244715269on_j_k @ SV7 @ ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SY1028 @ SY1029 @ SY1030 @ SY1031 @ SY1032 ) ) )
= ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SY1028 @ SY1029 @ ( SV7 @ SY1030 ) @ SY1031 @ SY1032 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(945,plain,
! [SV163: product_unit,SV8: list_n282880152tr_b_c > list_n282880152tr_b_c] :
( ( ! [SY1033: product_unit,SY1034: list_char,SY1035: option_element_ptr_a,SY1036: list_n282880152tr_b_c,SY1037: option2026120038on_j_k] :
( ( discon442323090on_j_k @ SV8 @ ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SY1033 @ SY1034 @ SY1035 @ SY1036 @ SY1037 ) ) )
= ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SY1033 @ SY1034 @ SY1035 @ ( SV8 @ SY1036 ) @ SY1037 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(946,plain,
! [SV164: rDocum326988203on_j_k,SV9: product_unit] :
( ( ( more_R1625109589on_j_k @ ( rObjec1303043984on_j_k @ SV9 @ SV164 ) )
= SV164 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(947,plain,
! [SV165: product_unit,SV10: option2026120038on_j_k > option2026120038on_j_k] :
( ( ! [SY1038: product_unit,SY1039: list_char,SY1040: option_element_ptr_a,SY1041: list_n282880152tr_b_c,SY1042: option2026120038on_j_k] :
( ( more_u1044474223_c_a_b @ SV10 @ ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SY1038 @ SY1039 @ SY1040 @ SY1041 @ SY1042 ) ) )
= ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SY1038 @ SY1039 @ SY1040 @ SY1041 @ ( SV10 @ SY1042 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(948,plain,
! [SV166: product_unit,SV11: product_unit] :
( ( ! [SY1043: list_char,SY1044: option_element_ptr_a,SY1045: list_n282880152tr_b_c,SY1046: option2026120038on_j_k] :
( ( more_c1453068134on_j_k @ ( rObjec1303043984on_j_k @ SV11 @ ( rDocum427676485on_j_k @ SV166 @ SY1043 @ SY1044 @ SY1045 @ SY1046 ) ) )
= SY1046 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(949,plain,
! [SV167: product_unit,SV12: product_unit] :
( ( ! [SY1047: list_char,SY1048: option_element_ptr_a,SY1049: list_n282880152tr_b_c,SY1050: option2026120038on_j_k] :
( ( discon866287741on_j_k @ ( rObjec1303043984on_j_k @ SV12 @ ( rDocum427676485on_j_k @ SV167 @ SY1047 @ SY1048 @ SY1049 @ SY1050 ) ) )
= SY1049 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(950,plain,
! [SV168: product_unit,SV13: product_unit] :
( ( ! [SY1051: list_char,SY1052: option_element_ptr_a,SY1053: list_n282880152tr_b_c,SY1054: option2026120038on_j_k] :
( ( docume1175131570on_j_k @ ( rObjec1303043984on_j_k @ SV13 @ ( rDocum427676485on_j_k @ SV168 @ SY1051 @ SY1052 @ SY1053 @ SY1054 ) ) )
= SY1052 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(951,plain,
! [SV169: product_unit,SV14: product_unit] :
( ( ! [SY1055: list_char,SY1056: option_element_ptr_a,SY1057: list_n282880152tr_b_c,SY1058: option2026120038on_j_k] :
( ( doctyp814403297on_j_k @ ( rObjec1303043984on_j_k @ SV14 @ ( rDocum427676485on_j_k @ SV169 @ SY1055 @ SY1056 @ SY1057 @ SY1058 ) ) )
= SY1055 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(952,plain,
! [SV170: product_unit,SV15: product_unit] :
( ( ! [SY1059: list_char,SY1060: option_element_ptr_a,SY1061: list_n282880152tr_b_c,SY1062: option2026120038on_j_k] :
( ( nothin757132294on_j_k @ ( rObjec1303043984on_j_k @ SV15 @ ( rDocum427676485on_j_k @ SV170 @ SY1059 @ SY1060 @ SY1061 @ SY1062 ) ) )
= SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(953,plain,
! [SV16: list_char] :
( ( ~ ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
| ( SV16 = nil_char ) )
| ~ ( ( ( size_size_list_char @ SV16 )
!= zero_zero_nat )
| ( SV16 != nil_char ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[792]) ).
thf(954,plain,
! [SV16: list_char] :
( ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= ( SV16 = nil_char ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[792]) ).
thf(955,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ~ ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
| ( SV17 = nil_no279930520tr_b_c ) )
| ~ ( ( ( size_s2106487044tr_b_c @ SV17 )
!= zero_zero_nat )
| ( SV17 != nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[793]) ).
thf(956,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= ( SV17 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[793]) ).
thf(957,plain,
! [SV171: rDocum326988203on_j_k,SV19: product_unit] :
( ( ( nothin1567949605on_j_k @ ( rObjec1303043984on_j_k @ SV19 @ SV171 ) )
= SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(958,plain,
! [SV22: char > $o] :
( ( list_ex1_char @ SV22 @ nil_char )
= $false ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(959,plain,
! [SV23: node_p1234578834tr_b_c > $o] :
( ( list_e469495899tr_b_c @ SV23 @ nil_no279930520tr_b_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(960,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(961,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= ( SV173 = nil_char ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(962,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= ( SV174 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(963,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= ( SV175 = nil_char ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(964,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= ( SV176 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(965,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= ( SV50 = nil_char ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(966,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= ( SV51 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(967,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= ( SV179 = nil_char ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(968,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= ( SV180 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(969,plain,
! [SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ! [SY1063: list_n282880152tr_b_c] :
( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
!= SY1063 )
| ~ ( ( SV60 != nil_no279930520tr_b_c )
| ( SY1063 != SV181 ) )
| ~ ! [SY1064: node_p1234578834tr_b_c,SY1065: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1064 @ SY1065 ) )
| ( SY1063
!= ( cons_n413985352tr_b_c @ SY1064 @ ( splice1294941035tr_b_c @ SV181 @ SY1065 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(970,plain,
! [SV182: list_char,SV61: list_char > list_char > $o] :
( ( ! [SY1066: list_char] :
( ~ ( SV61 @ nil_char @ nil_char )
| ~ ! [SY663: char,SY664: list_char] : ( SV61 @ ( cons_char @ SY663 @ SY664 ) @ nil_char )
| ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) )
| ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SY1066 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(971,plain,
! [SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ! [SY1075: list_n282880152tr_b_c] :
( ~ ( SV62 @ nil_char @ nil_no279930520tr_b_c )
| ~ ! [SY673: char,SY674: list_char] : ( SV62 @ ( cons_char @ SY673 @ SY674 ) @ nil_no279930520tr_b_c )
| ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) )
| ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SY1075 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(972,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( is_doc1417632087_j_k_l @ SV184 )
= ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(973,plain,
! [SV185: list_n282880152tr_b_c > $o,SV64: list_n282880152tr_b_c] :
( ( ~ ( ( SV64 != nil_no279930520tr_b_c ) )
| ~ ! [SY1084: node_p1234578834tr_b_c] : ( SV185 @ ( cons_n413985352tr_b_c @ SY1084 @ nil_no279930520tr_b_c ) )
| ~ ! [SY1085: node_p1234578834tr_b_c,SY1086: list_n282880152tr_b_c] :
( ~ ( ( SY1086 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1086 )
| ( SV185 @ ( append846395565tr_b_c @ SY1086 @ ( cons_n413985352tr_b_c @ SY1085 @ nil_no279930520tr_b_c ) ) ) )
| ( SV185 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(974,plain,
! [SV186: char,SV65: list_char] :
( ( ! [SY1087: list_char,SY1088: char] :
( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SY1087 @ ( cons_char @ SY1088 @ nil_char ) ) )
= ( ~ ( ( SV65 != SY1087 )
| ( SV186 != SY1088 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(975,plain,
! [SV187: list_char,SV66: list_char > list_char > $o] :
( ( ! [SY1089: list_char] :
( ~ ! [SY690: list_char] : ( SV66 @ nil_char @ SY690 )
| ~ ! [SY691: char,SY692: list_char,SY693: list_char] :
( ~ ( SV66 @ SY693 @ SY692 )
| ( SV66 @ ( cons_char @ SY691 @ SY692 ) @ SY693 ) )
| ( SV66 @ SV187 @ SY1089 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(976,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ~ ( SV67 @ nil_no279930520tr_b_c )
| ~ ! [SY695: node_p1234578834tr_b_c] : ( SV67 @ ( cons_n413985352tr_b_c @ SY695 @ nil_no279930520tr_b_c ) )
| ~ ! [SY696: node_p1234578834tr_b_c,SY697: node_p1234578834tr_b_c,SY698: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY698 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ SY696 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) ) ) )
| ( SV67 @ SV188 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(977,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ! [SY1098: list_n282880152tr_b_c] :
( ~ ! [SY701: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV68 @ SY701 @ nil_no279930520tr_b_c )
| ~ ! [SY702: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY703: node_p1234578834tr_b_c] : ( SV68 @ SY702 @ ( cons_n413985352tr_b_c @ SY703 @ nil_no279930520tr_b_c ) )
| ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SV189 @ SY1098 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(978,plain,
! [SV190: list_char > $o,SV69: list_char] :
( ( ~ ( ( SV69 != nil_char ) )
| ~ ! [SY1106: char] : ( SV190 @ ( cons_char @ SY1106 @ nil_char ) )
| ~ ! [SY1107: char,SY1108: list_char] :
( ~ ( ( SY1108 != nil_char ) )
| ~ ( SV190 @ SY1108 )
| ( SV190 @ ( cons_char @ SY1107 @ SY1108 ) ) )
| ( SV190 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(979,plain,
! [SV70: list_char] :
( ( ( ~ ( ( SV70 != nil_char ) ) )
= $true )
| ( ( ~ ! [SY712: list_char,SY713: char] :
( SV70
!= ( append_char @ SY712 @ ( cons_char @ SY713 @ nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[848]) ).
thf(980,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ! [SY1109: option_element_ptr_a] :
( ~ ( ( SV71 != none_S1393028981on_j_k )
| ( SV191 @ SV71 @ SY1109 ) )
| ~ ( ( SY1109 != none_element_ptr_a )
| ( SV191 @ SV71 @ SY1109 ) )
| ~ ! [SY1110: sum_su1221287958on_j_k,SY1111: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1110 ) )
| ( SY1109
!= ( some_element_ptr_a @ SY1111 ) )
| ( SV191 @ SV71 @ SY1109 ) )
| ( SV191 @ SV71 @ SY1109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(981,plain,
! [SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c] :
( ( ! [SY1112: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ SV72 )
!= ( size_s2106487044tr_b_c @ SV192 ) )
| ~ ( SY1112 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SX3: node_p1234578834tr_b_c,SX4: list_n282880152tr_b_c,SX5: node_p1234578834tr_b_c,SX6: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SX4 )
!= ( size_s2106487044tr_b_c @ SX6 ) )
| ~ ( SY1112 @ SX4 @ SX6 )
| ( SY1112 @ ( cons_n413985352tr_b_c @ SX3 @ SX4 ) @ ( cons_n413985352tr_b_c @ SX5 @ SX6 ) ) )
| ( SY1112 @ SV72 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(982,plain,
! [SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ! [SY1117: element_ptr_a > option2026120038on_j_k] :
( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SY1117 ) )
= ( ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1118: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1118 ) )
| ~ ~ ( SV73 @ ( SY1117 @ SY1118 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(983,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ~ ( SV74 @ nil_char )
| ~ ! [SY728: char,SY729: list_char] :
( ~ ( SV74 @ SY729 )
| ( SV74 @ ( append_char @ SY729 @ ( cons_char @ SY728 @ nil_char ) ) ) )
| ( SV74 @ SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(984,plain,
! [SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ! [SY1121: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SY1121 ) )
= ( ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1122: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1122 ) )
| ~ ~ ( SV75 @ ( SY1121 @ SY1122 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(985,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ! [SY1123: option2026120038on_j_k] :
( ~ ( ( SV76 != none_element_ptr_a )
| ( SV196 @ SV76 @ SY1123 ) )
| ~ ( ( SY1123 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SY1123 ) )
| ~ ! [SY1124: element_ptr_a,SY1125: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1124 ) )
| ( SY1123
!= ( some_S1960742641on_j_k @ SY1125 ) )
| ( SV196 @ SV76 @ SY1123 ) )
| ( SV196 @ SV76 @ SY1123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(986,plain,
! [SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ! [SY1126: list_n282880152tr_b_c] :
( ~ ! [SY739: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV77 @ SY739 @ nil_no279930520tr_b_c )
| ~ ! [SY740: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY741: node_p1234578834tr_b_c,SY742: list_n282880152tr_b_c] :
( ~ ( SV77 @ SY740 @ SY742 )
| ( SV77 @ SY740 @ ( cons_n413985352tr_b_c @ SY741 @ SY742 ) ) )
| ( SV77 @ SV197 @ SY1126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(987,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
| ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[856]) ).
thf(988,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= ( ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[856]) ).
thf(989,plain,
! [SV198: char > char > $o,SV79: ( char > char > $o ) > list_char > $o] :
( ( ! [SY1131: list_char] :
( ~ ! [SY746: char > char > $o] : ( SV79 @ SY746 @ nil_char )
| ~ ! [SY747: char > char > $o,SY748: char,SY749: list_char] :
( ~ ( SV79 @ SY747 @ SY749 )
| ( SV79 @ SY747 @ ( cons_char @ SY748 @ SY749 ) ) )
| ( SV79 @ SV198 @ SY1131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(990,plain,
! [SV80: rObjec1617416918on_j_k] :
( ( ! [SY750: product_unit,SY751: product_unit,SY752: list_char,SY753: option_element_ptr_a,SY754: list_n282880152tr_b_c,SY755: option2026120038on_j_k] :
( SV80
!= ( rObjec1303043984on_j_k @ SY750 @ ( rDocum427676485on_j_k @ SY751 @ SY752 @ SY753 @ SY754 @ SY755 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(991,plain,
! [SV199: list_char,SV81: list_char > list_char > $o] :
( ( ! [SY1136: list_char] :
( ~ ! [SY758: list_char] : ( SV81 @ nil_char @ SY758 )
| ~ ! [SY759: list_char] : ( SV81 @ SY759 @ nil_char )
| ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) )
| ( SV81 @ SV199 @ SY1136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(992,plain,
! [SV200: list_char,SV82: list_char > $o] :
( ( ~ ( SV82 @ nil_char )
| ~ ! [SY765: char] : ( SV82 @ ( cons_char @ SY765 @ nil_char ) )
| ~ ! [SY766: char,SY767: char,SY768: list_char] :
( ~ ( ( SY766 != SY767 )
| ( SV82 @ ( cons_char @ SY766 @ SY768 ) ) )
| ~ ( ~ ( ( SY766 != SY767 ) )
| ( SV82 @ ( cons_char @ SY767 @ SY768 ) ) )
| ( SV82 @ ( cons_char @ SY766 @ ( cons_char @ SY767 @ SY768 ) ) ) )
| ( SV82 @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(993,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= ( ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(994,plain,
! [SV84: rObjec1617416918on_j_k] :
( ( ! [SY770: product_unit,SY771: rDocum326988203on_j_k] :
( SV84
!= ( rObjec1303043984on_j_k @ SY770 @ SY771 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(995,plain,
! [SV85: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV85 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY772: node_p1234578834tr_b_c,SY773: list_n282880152tr_b_c] :
( SV85
!= ( cons_n413985352tr_b_c @ SY772 @ SY773 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(996,plain,
! [SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ! [SY1147: element_ptr_a > option_element_ptr_a] :
( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SY1147 ) )
= ( ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1148: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1148 ) )
| ~ ~ ( SV86 @ ( SY1147 @ SY1148 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(997,plain,
! [SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ! [SY1149: element_ptr_a > option2026120038on_j_k] :
( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SY1149 ) )
= ( ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1150: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1150 ) )
| ( SV87 @ ( SY1149 @ SY1150 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(998,plain,
! [SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ! [SY1151: list_n282880152tr_b_c,SY1152: node_p1234578834tr_b_c] :
( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SY1151 @ ( cons_n413985352tr_b_c @ SY1152 @ nil_no279930520tr_b_c ) ) )
= ( ~ ( ( SV88 != SY1151 )
| ( SV204 != SY1152 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(999,plain,
! [SV205: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ! [SY1153: list_n282880152tr_b_c] :
( ~ ! [SY785: list_n282880152tr_b_c] : ( SV89 @ nil_no279930520tr_b_c @ SY785 )
| ~ ! [SY786: node_p1234578834tr_b_c,SY787: list_n282880152tr_b_c,SY788: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY788 @ SY787 )
| ( SV89 @ ( cons_n413985352tr_b_c @ SY786 @ SY787 ) @ SY788 ) )
| ( SV89 @ SV205 @ SY1153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(1000,plain,
! [SV206: rObjec103300152t_unit,SV90: rObjec103300152t_unit > $o] :
( ( ~ ! [SY790: product_unit] : ( SV90 @ ( rObjec730108904t_unit @ SY790 @ product_Unity ) )
| ( SV90 @ SV206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(1001,plain,
! [SV91: rObjec103300152t_unit] :
( ( ! [SY791: product_unit] :
( SV91
!= ( rObjec730108904t_unit @ SY791 @ product_Unity ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(1002,plain,
! [SV92: option_element_ptr_a] :
( ( ~ ( ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 = none_element_ptr_a ) )
| ~ ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 != none_element_ptr_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[870]) ).
thf(1003,plain,
! [SV92: option_element_ptr_a] :
( ( ( ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) ) )
= ( SV92 = none_element_ptr_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[870]) ).
thf(1004,plain,
! [SV207: list_char > $o,SV93: list_char] :
( ( ~ ( ( SV93 != nil_char ) )
| ~ ! [SY1159: char] : ( SV207 @ ( cons_char @ SY1159 @ nil_char ) )
| ~ ! [SY1160: char,SY1161: list_char] :
( ~ ( ( SY1161 != nil_char ) )
| ~ ( SV207 @ SY1161 )
| ( SV207 @ ( append_char @ SY1161 @ ( cons_char @ SY1160 @ nil_char ) ) ) )
| ( SV207 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(1005,plain,
! [SV208: list_n282880152tr_b_c,SV94: list_n282880152tr_b_c] :
( ( ( SV94 != SV208 )
| ( SV94
= ( append846395565tr_b_c @ nil_no279930520tr_b_c @ SV208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(1006,plain,
! [SV209: list_char,SV95: char] :
( ( ! [SY1162: list_char,SY1163: list_char] :
( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SY1162 @ SY1163 ) )
= ( ~ ( ( SY1162 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SY1163 ) )
| ~ ! [SY1164: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1164 )
!= SY1162 )
| ( SV209
!= ( append_char @ SY1164 @ SY1163 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(1007,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ~ ( SV96 @ nil_char )
| ~ ! [SY803: char,SY804: list_char] :
( ~ ( SV96 @ SY804 )
| ( SV96 @ ( cons_char @ SY803 @ SY804 ) ) )
| ( SV96 @ SV210 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(1008,plain,
! [SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ! [SY1167: list_n282880152tr_b_c,SY1168: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SY1167 @ SY1168 ) )
= ( ~ ( ( SY1167 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SY1168 ) )
| ~ ! [SY1169: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1169 )
!= SY1167 )
| ( SV211
!= ( append846395565tr_b_c @ SY1169 @ SY1168 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(1009,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ! [SY1170: option2026120038on_j_k] :
( ~ ( ( SV98 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SY1170 ) )
| ~ ( ( SY1170 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SY1170 ) )
| ~ ! [SY1171: sum_su1221287958on_j_k,SY1172: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1171 ) )
| ( SY1170
!= ( some_S1960742641on_j_k @ SY1172 ) )
| ( SV212 @ SV98 @ SY1170 ) )
| ( SV212 @ SV98 @ SY1170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(1010,plain,
! [SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ! [SY1173: sum_su1221287958on_j_k > option_element_ptr_a] :
( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SY1173 ) )
= ( ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1174: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1174 ) )
| ( SV99 @ ( SY1173 @ SY1174 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(1011,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( ~ ( ( SV100 != nil_li198338206tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY816: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ SY816 ) )
| ~ ! [SY817: node_p1234578834tr_b_c,SY818: list_n282880152tr_b_c,SY819: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SY817 @ SY818 ) @ SY819 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(1012,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ~ ( ( SV101 != nil_no279930520tr_b_c )
| ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
| ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(1013,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( SV101 != nil_no279930520tr_b_c )
= ( ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(1014,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ~ ( SV102 @ nil_char )
| ~ ! [SY823: char] : ( SV102 @ ( cons_char @ SY823 @ nil_char ) )
| ~ ! [SY824: char,SY825: char,SY826: list_char] :
( ~ ( SV102 @ SY826 )
| ~ ( SV102 @ ( cons_char @ SY825 @ SY826 ) )
| ( SV102 @ ( cons_char @ SY824 @ ( cons_char @ SY825 @ SY826 ) ) ) )
| ( SV102 @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(1015,plain,
! [SV215: node_p1234578834tr_b_c,SV103: list_n282880152tr_b_c] :
( ( ! [SY1179: list_n282880152tr_b_c] :
( ( SV103
!= ( cons_n413985352tr_b_c @ SV215 @ SY1179 ) )
| ( SV103 != nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(1016,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 ) )
= ( ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(1017,plain,
! [SV105: option2026120038on_j_k] :
( ( ~ ( ( SV105 != none_S1393028981on_j_k )
| ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
| ~ ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[884]) ).
thf(1018,plain,
! [SV105: option2026120038on_j_k] :
( ( ( SV105 != none_S1393028981on_j_k )
= ( ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[884]) ).
thf(1019,plain,
! [SV217: list_char,SV106: list_char] :
( ( ! [SY1182: list_char,SY1183: list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ SV106 )
!= ( size_size_list_char @ SV217 ) )
| ( ( size_size_list_char @ SV217 )
!= ( size_size_list_char @ SY1182 ) )
| ~ ( SY1183 @ nil_char @ nil_char @ nil_char )
| ~ ! [SX4: char,SX5: list_char,SX6: char,SX7: list_char,SX8: char,SX9: list_char] :
( ( ( size_size_list_char @ SX5 )
!= ( size_size_list_char @ SX7 ) )
| ( ( size_size_list_char @ SX7 )
!= ( size_size_list_char @ SX9 ) )
| ~ ( SY1183 @ SX5 @ SX7 @ SX9 )
| ( SY1183 @ ( cons_char @ SX4 @ SX5 ) @ ( cons_char @ SX6 @ SX7 ) @ ( cons_char @ SX8 @ SX9 ) ) )
| ( SY1183 @ SV106 @ SV217 @ SY1182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(1020,plain,
! [SV218: rObjec1617416918on_j_k,SV107: rObjec1617416918on_j_k > $o] :
( ( ~ ! [SY842: product_unit,SY843: rDocum326988203on_j_k] : ( SV107 @ ( rObjec1303043984on_j_k @ SY842 @ SY843 ) )
| ( SV107 @ SV218 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(1021,plain,
! [SV108: list_char] :
( ( ( ~ ( ( SV108 != nil_char ) ) )
= $true )
| ( ( ~ ! [SY844: char] :
( SV108
!= ( cons_char @ SY844 @ nil_char ) )
| ~ ! [SY845: char,SY846: char,SY847: list_char] :
( SV108
!= ( cons_char @ SY845 @ ( cons_char @ SY846 @ SY847 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(1022,plain,
! [SV109: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV109 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY848: list_n282880152tr_b_c,SY849: node_p1234578834tr_b_c] :
( SV109
!= ( append846395565tr_b_c @ SY848 @ ( cons_n413985352tr_b_c @ SY849 @ nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(1023,plain,
! [SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ! [SY1192: list_n282880152tr_b_c] :
( ~ ! [SY852: list_n282880152tr_b_c] : ( SV110 @ nil_no279930520tr_b_c @ SY852 )
| ~ ! [SY853: list_n282880152tr_b_c] : ( SV110 @ SY853 @ nil_no279930520tr_b_c )
| ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) )
| ( SV110 @ SV219 @ SY1192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(1024,plain,
! [SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ! [SY1199: list_n282880152tr_b_c] :
( ~ ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY860: node_p1234578834tr_b_c,SY861: list_n282880152tr_b_c] : ( SV111 @ ( cons_n413985352tr_b_c @ SY860 @ SY861 ) @ nil_no279930520tr_b_c )
| ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) )
| ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SY1199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(1025,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(1026,plain,
! [SV222: rObjec1617416918on_j_k,SV113: rObjec1617416918on_j_k > $o] :
( ( ~ ! [SY871: product_unit,SY872: product_unit,SY873: list_char,SY874: option_element_ptr_a,SY875: list_n282880152tr_b_c,SY876: option2026120038on_j_k] : ( SV113 @ ( rObjec1303043984on_j_k @ SY871 @ ( rDocum427676485on_j_k @ SY872 @ SY873 @ SY874 @ SY875 @ SY876 ) ) )
| ( SV113 @ SV222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(1027,plain,
! [SV223: char,SV114: list_char] :
( ( ! [SY1216: list_char] :
( ( SV114
!= ( cons_char @ SV223 @ SY1216 ) )
| ( SV114 != nil_char ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(1028,plain,
! [SV224: list_char,SV115: char] :
( ( nil_char
!= ( cons_char @ SV115 @ SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(1029,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= ( ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(1030,plain,
! [SV226: list_n282880152tr_b_c,SV117: list_n282880152tr_b_c > $o] :
( ( ~ ( SV117 @ nil_no279930520tr_b_c )
| ~ ! [SY882: node_p1234578834tr_b_c] : ( SV117 @ ( cons_n413985352tr_b_c @ SY882 @ nil_no279930520tr_b_c ) )
| ~ ! [SY883: node_p1234578834tr_b_c,SY884: node_p1234578834tr_b_c,SY885: list_n282880152tr_b_c] :
( ~ ( ( SY883 != SY884 )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ SY885 ) ) )
| ~ ( ~ ( ( SY883 != SY884 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) ) )
| ( SV117 @ SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(1031,plain,
! [SV118: list_list_char] :
( ( ( ~ ( ( SV118 != nil_list_char ) ) )
= $true )
| ( ( ~ ! [SY886: list_list_char] :
( SV118
!= ( cons_list_char @ nil_char @ SY886 ) )
| ~ ! [SY887: char,SY888: list_char,SY889: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ SY887 @ SY888 ) @ SY889 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(1032,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(1033,plain,
! [SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ! [SY1223: list_n282880152tr_b_c,SY1224: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ SV120 )
!= ( size_s2106487044tr_b_c @ SV228 ) )
| ( ( size_s2106487044tr_b_c @ SV228 )
!= ( size_s2106487044tr_b_c @ SY1223 ) )
| ~ ( SY1224 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SX4: node_p1234578834tr_b_c,SX5: list_n282880152tr_b_c,SX6: node_p1234578834tr_b_c,SX7: list_n282880152tr_b_c,SX8: node_p1234578834tr_b_c,SX9: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SX5 )
!= ( size_s2106487044tr_b_c @ SX7 ) )
| ( ( size_s2106487044tr_b_c @ SX7 )
!= ( size_s2106487044tr_b_c @ SX9 ) )
| ~ ( SY1224 @ SX5 @ SX7 @ SX9 )
| ( SY1224 @ ( cons_n413985352tr_b_c @ SX4 @ SX5 ) @ ( cons_n413985352tr_b_c @ SX6 @ SX7 ) @ ( cons_n413985352tr_b_c @ SX8 @ SX9 ) ) )
| ( SY1224 @ SV120 @ SV228 @ SY1223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(1034,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= ( ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(1035,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= ( ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(1036,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= ( ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(1037,plain,
! [SV232: list_char,SV124: list_char] :
( ( ! [SY1231: list_char,SY1232: list_char,SY1233: list_char > list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ SV124 )
!= ( size_size_list_char @ SV232 ) )
| ( ( size_size_list_char @ SV232 )
!= ( size_size_list_char @ SY1231 ) )
| ( ( size_size_list_char @ SY1231 )
!= ( size_size_list_char @ SY1232 ) )
| ~ ( SY1233 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SX5: char,SX6: list_char,SX7: char,SX8: list_char,SX9: char,SX10: list_char,SX11: char,SX12: list_char] :
( ( ( size_size_list_char @ SX6 )
!= ( size_size_list_char @ SX8 ) )
| ( ( size_size_list_char @ SX8 )
!= ( size_size_list_char @ SX10 ) )
| ( ( size_size_list_char @ SX10 )
!= ( size_size_list_char @ SX12 ) )
| ~ ( SY1233 @ SX6 @ SX8 @ SX10 @ SX12 )
| ( SY1233 @ ( cons_char @ SX5 @ SX6 ) @ ( cons_char @ SX7 @ SX8 ) @ ( cons_char @ SX9 @ SX10 ) @ ( cons_char @ SX11 @ SX12 ) ) )
| ( SY1233 @ SV124 @ SV232 @ SY1231 @ SY1232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(1038,plain,
! [SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ! [SY1242: product_unit,SY1243: rDocum326988203on_j_k] :
( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SY1242 @ SY1243 ) )
= ( ~ ( ( SV125 != SY1242 )
| ( SV233 != SY1243 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(1039,plain,
! [SV234: sum_su1221287958on_j_k,SV126: option2026120038on_j_k] :
( ( ( SV126
!= ( some_S1960742641on_j_k @ SV234 ) )
| ( SV126 != none_S1393028981on_j_k ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(1040,plain,
! [SV235: list_char,SV127: product_unit] :
( ( ! [SY1244: option_element_ptr_a,SY1245: list_n282880152tr_b_c,SY1246: option2026120038on_j_k,SY1247: product_unit,SY1248: list_char,SY1249: option_element_ptr_a,SY1250: list_n282880152tr_b_c,SY1251: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SY1244 @ SY1245 @ SY1246 )
= ( rDocum427676485on_j_k @ SY1247 @ SY1248 @ SY1249 @ SY1250 @ SY1251 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SY1247 )
| ( SV235 != SY1248 ) )
| ( SY1244 != SY1249 ) )
| ( SY1245 != SY1250 ) )
| ( SY1246 != SY1251 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(1041,plain,
! [SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ! [SY1252: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SY1252 ) )
= ( ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1253: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1253 ) )
| ( SV128 @ ( SY1252 @ SY1253 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(1042,plain,
! [SV237: list_n282880152tr_b_c > $o,SV129: list_n282880152tr_b_c] :
( ( ~ ( ( SV129 != nil_no279930520tr_b_c ) )
| ~ ! [SY1254: node_p1234578834tr_b_c] : ( SV237 @ ( cons_n413985352tr_b_c @ SY1254 @ nil_no279930520tr_b_c ) )
| ~ ! [SY1255: node_p1234578834tr_b_c,SY1256: list_n282880152tr_b_c] :
( ~ ( ( SY1256 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1256 )
| ( SV237 @ ( cons_n413985352tr_b_c @ SY1255 @ SY1256 ) ) )
| ( SV237 @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(1043,plain,
! [SV130: option2026120038on_j_k] :
( ( ~ ( ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 = none_S1393028981on_j_k ) )
| ~ ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 != none_S1393028981on_j_k ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(1044,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) ) )
= ( SV130 = none_S1393028981on_j_k ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(1045,plain,
! [SV238: element_ptr_a,SV131: option_element_ptr_a] :
( ( ( SV131
!= ( some_element_ptr_a @ SV238 ) )
| ( SV131 != none_element_ptr_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1046,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 ) )
= ( ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(1047,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ! [SY1259: option_element_ptr_a] :
( ~ ( ( SV133 != none_element_ptr_a )
| ( SV240 @ SV133 @ SY1259 ) )
| ~ ( ( SY1259 != none_element_ptr_a )
| ( SV240 @ SV133 @ SY1259 ) )
| ~ ! [SY1260: element_ptr_a,SY1261: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1260 ) )
| ( SY1259
!= ( some_element_ptr_a @ SY1261 ) )
| ( SV240 @ SV133 @ SY1259 ) )
| ( SV240 @ SV133 @ SY1259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1048,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ~ ( SV134 @ nil_no279930520tr_b_c )
| ~ ! [SY945: node_p1234578834tr_b_c,SY946: list_n282880152tr_b_c] :
( ~ ( SV134 @ SY946 )
| ( SV134 @ ( append846395565tr_b_c @ SY946 @ ( cons_n413985352tr_b_c @ SY945 @ nil_no279930520tr_b_c ) ) ) )
| ( SV134 @ SV241 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1049,plain,
! [SV135: element_ptr_a] :
( ( none_element_ptr_a
= ( some_element_ptr_a @ SV135 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(1050,plain,
! [SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ! [SY1264: element_ptr_a > option_element_ptr_a] :
( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SY1264 ) )
= ( ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1265: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1265 ) )
| ( SV136 @ ( SY1264 @ SY1265 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1051,plain,
! [SV137: list_char] :
( ( ~ ( ( SV137 != nil_char )
| ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
| ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[919]) ).
thf(1052,plain,
! [SV137: list_char] :
( ( ( SV137 != nil_char )
= ( ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[919]) ).
thf(1053,plain,
! [SV243: list_char,SV138: list_char] :
( ( ! [SY1266: char,SY1267: list_char] :
( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SY1266 @ SY1267 ) )
= ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SY1266 @ SY1267 ) ) )
| ~ ! [SY1268: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SY1266 @ SY1268 ) )
| ( ( append_char @ SY1268 @ SV243 )
!= SY1267 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1054,plain,
! [SV244: char > char > $o,SV139: ( char > char > $o ) > list_char > $o] :
( ( ! [SY1269: list_char] :
( ~ ! [SY958: char > char > $o] : ( SV139 @ SY958 @ nil_char )
| ~ ! [SY959: char > char > $o,SY960: char] : ( SV139 @ SY959 @ ( cons_char @ SY960 @ nil_char ) )
| ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SV244 @ SY1269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1055,plain,
! [SV140: option_element_ptr_a] :
( ( ~ ( ( SV140 != none_element_ptr_a )
| ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
| ~ ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(1056,plain,
! [SV140: option_element_ptr_a] :
( ( ( SV140 != none_element_ptr_a )
= ( ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(1057,plain,
! [SV245: option2026120038on_j_k,SV141: option2026120038on_j_k > $o] :
( ( ~ ( SV141 @ none_S1393028981on_j_k )
| ~ ! [SY967: sum_su1221287958on_j_k] : ( SV141 @ ( some_S1960742641on_j_k @ SY967 ) )
| ( SV141 @ SV245 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1058,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ~ ( SV142 @ nil_no279930520tr_b_c )
| ~ ! [SY969: node_p1234578834tr_b_c,SY970: list_n282880152tr_b_c] :
( ~ ( SV142 @ SY970 )
| ( SV142 @ ( cons_n413985352tr_b_c @ SY969 @ SY970 ) ) )
| ( SV142 @ SV246 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(1059,plain,
! [SV247: list_char,SV143: list_char] :
( ( ( SV143 != SV247 )
| ( SV143
= ( append_char @ nil_char @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1060,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV144 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY972: node_p1234578834tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY972 @ nil_no279930520tr_b_c ) )
| ~ ! [SY973: node_p1234578834tr_b_c,SY974: node_p1234578834tr_b_c,SY975: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY973 @ ( cons_n413985352tr_b_c @ SY974 @ SY975 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(1061,plain,
! [SV248: option_element_ptr_a,SV145: option_element_ptr_a > $o] :
( ( ~ ( SV145 @ none_element_ptr_a )
| ~ ! [SY977: element_ptr_a] : ( SV145 @ ( some_element_ptr_a @ SY977 ) )
| ( SV145 @ SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1062,plain,
! [SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ! [SY1281: list_char] :
( ~ ( SV146 @ nil_no279930520tr_b_c @ nil_char )
| ~ ! [SY980: node_p1234578834tr_b_c,SY981: list_n282880152tr_b_c] : ( SV146 @ ( cons_n413985352tr_b_c @ SY980 @ SY981 ) @ nil_char )
| ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) )
| ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SY1281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1063,plain,
! [SV250: list_char,SV147: list_char] :
( ( ! [SY1290: list_char > list_char > $o] :
( ( ( size_size_list_char @ SV147 )
!= ( size_size_list_char @ SV250 ) )
| ~ ( SY1290 @ nil_char @ nil_char )
| ~ ! [SX3: char,SX4: list_char,SX5: char,SX6: list_char] :
( ( ( size_size_list_char @ SX4 )
!= ( size_size_list_char @ SX6 ) )
| ~ ( SY1290 @ SX4 @ SX6 )
| ( SY1290 @ ( cons_char @ SX3 @ SX4 ) @ ( cons_char @ SX5 @ SX6 ) ) )
| ( SY1290 @ SV147 @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1064,plain,
! [SV148: option_element_ptr_a] :
( ( ( ~ ( ( SV148 != none_element_ptr_a ) ) )
= $true )
| ( ( ~ ! [SY994: element_ptr_a] :
( SV148
!= ( some_element_ptr_a @ SY994 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(1065,plain,
! [SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ! [SY1295: sum_su1221287958on_j_k > option2026120038on_j_k] :
( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SY1295 ) )
= ( ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1296: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1296 ) )
| ~ ~ ( SV149 @ ( SY1295 @ SY1296 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1066,plain,
! [SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ! [SY1297: node_p1234578834tr_b_c,SY1298: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SY1297 @ SY1298 ) )
= ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SY1297 @ SY1298 ) ) )
| ~ ! [SY1299: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SY1297 @ SY1299 ) )
| ( ( append846395565tr_b_c @ SY1299 @ SV252 )
!= SY1298 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1067,plain,
! [SV253: list_char,SV151: list_char] :
( ( ! [SY1300: list_char] :
( ( ( splice_char @ SV151 @ SV253 )
!= SY1300 )
| ~ ( ( SV151 != nil_char )
| ( SY1300 != SV253 ) )
| ~ ! [SY1301: char,SY1302: list_char] :
( ( SV151
!= ( cons_char @ SY1301 @ SY1302 ) )
| ( SY1300
!= ( cons_char @ SY1301 @ ( splice_char @ SV253 @ SY1302 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1068,plain,
! [SV152: option2026120038on_j_k] :
( ( ( ~ ( ( SV152 != none_S1393028981on_j_k ) ) )
= $true )
| ( ( ~ ! [SY1006: sum_su1221287958on_j_k] :
( SV152
!= ( some_S1960742641on_j_k @ SY1006 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1069,plain,
! [SV254: rDocum326988203on_j_k,SV153: rDocum326988203on_j_k > $o] :
( ( ~ ! [SY1008: product_unit,SY1009: list_char,SY1010: option_element_ptr_a,SY1011: list_n282880152tr_b_c,SY1012: option2026120038on_j_k] : ( SV153 @ ( rDocum427676485on_j_k @ SY1008 @ SY1009 @ SY1010 @ SY1011 @ SY1012 ) )
| ( SV153 @ SV254 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1070,plain,
! [SV255: list_n282880152tr_b_c,SV154: node_p1234578834tr_b_c] :
( ( nil_no279930520tr_b_c
!= ( cons_n413985352tr_b_c @ SV154 @ SV255 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1071,plain,
! [SV155: sum_su1221287958on_j_k] :
( ( none_S1393028981on_j_k
= ( some_S1960742641on_j_k @ SV155 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(1072,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= ( ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(1073,plain,
! [SV157: list_char] :
( ( ( ~ ( ( SV157 != nil_char ) ) )
= $true )
| ( ( ~ ! [SY1015: char,SY1016: list_char] :
( SV157
!= ( cons_char @ SY1015 @ SY1016 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(1074,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ~ ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 = SV158 ) )
| ~ ( ( ( cast_D1252964113_h_i_l @ SV1 )
!= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 != SV158 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[940]) ).
thf(1075,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= ( SV1 = SV158 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[940]) ).
thf(1076,plain,
! [SV159: docume1935157360tr_d_e] :
( ( ! [SV257: rObjec1617416918on_j_k] :
( ( put_D_2126422573_h_i_l @ SV159 @ SV257 )
= ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ SV159 ) @ ( cast_D1252964113_h_i_l @ SV257 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[941]) ).
thf(1077,plain,
! [SV159: docume1935157360tr_d_e] :
( ( ( put_D_2126422573_h_i_l @ SV159 )
= ( ^ [SY1017: rObjec1617416918on_j_k] : ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ SV159 ) @ ( cast_D1252964113_h_i_l @ SY1017 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[941]) ).
thf(1078,plain,
! [SV258: product_unit,SV160: product_unit,SV5: product_unit > product_unit] :
( ( ! [SY1308: list_char,SY1309: option_element_ptr_a,SY1310: list_n282880152tr_b_c,SY1311: option2026120038on_j_k] :
( ( nothin1105341917on_j_k @ SV5 @ ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ SV258 @ SY1308 @ SY1309 @ SY1310 @ SY1311 ) ) )
= ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ ( SV5 @ SV258 ) @ SY1308 @ SY1309 @ SY1310 @ SY1311 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1079,plain,
! [SV259: product_unit,SV161: product_unit,SV6: list_char > list_char] :
( ( ! [SY1312: list_char,SY1313: option_element_ptr_a,SY1314: list_n282880152tr_b_c,SY1315: option2026120038on_j_k] :
( ( doctyp68000440on_j_k @ SV6 @ ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ SY1312 @ SY1313 @ SY1314 @ SY1315 ) ) )
= ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ ( SV6 @ SY1312 ) @ SY1313 @ SY1314 @ SY1315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1080,plain,
! [SV260: product_unit,SV162: product_unit,SV7: option_element_ptr_a > option_element_ptr_a] :
( ( ! [SY1316: list_char,SY1317: option_element_ptr_a,SY1318: list_n282880152tr_b_c,SY1319: option2026120038on_j_k] :
( ( docume244715269on_j_k @ SV7 @ ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SY1316 @ SY1317 @ SY1318 @ SY1319 ) ) )
= ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SY1316 @ ( SV7 @ SY1317 ) @ SY1318 @ SY1319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1081,plain,
! [SV261: product_unit,SV163: product_unit,SV8: list_n282880152tr_b_c > list_n282880152tr_b_c] :
( ( ! [SY1320: list_char,SY1321: option_element_ptr_a,SY1322: list_n282880152tr_b_c,SY1323: option2026120038on_j_k] :
( ( discon442323090on_j_k @ SV8 @ ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SY1320 @ SY1321 @ SY1322 @ SY1323 ) ) )
= ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SY1320 @ SY1321 @ ( SV8 @ SY1322 ) @ SY1323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1082,plain,
! [SV262: product_unit,SV165: product_unit,SV10: option2026120038on_j_k > option2026120038on_j_k] :
( ( ! [SY1324: list_char,SY1325: option_element_ptr_a,SY1326: list_n282880152tr_b_c,SY1327: option2026120038on_j_k] :
( ( more_u1044474223_c_a_b @ SV10 @ ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SY1324 @ SY1325 @ SY1326 @ SY1327 ) ) )
= ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SY1324 @ SY1325 @ SY1326 @ ( SV10 @ SY1327 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1083,plain,
! [SV263: list_char,SV166: product_unit,SV11: product_unit] :
( ( ! [SY1328: option_element_ptr_a,SY1329: list_n282880152tr_b_c,SY1330: option2026120038on_j_k] :
( ( more_c1453068134on_j_k @ ( rObjec1303043984on_j_k @ SV11 @ ( rDocum427676485on_j_k @ SV166 @ SV263 @ SY1328 @ SY1329 @ SY1330 ) ) )
= SY1330 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1084,plain,
! [SV264: list_char,SV167: product_unit,SV12: product_unit] :
( ( ! [SY1331: option_element_ptr_a,SY1332: list_n282880152tr_b_c,SY1333: option2026120038on_j_k] :
( ( discon866287741on_j_k @ ( rObjec1303043984on_j_k @ SV12 @ ( rDocum427676485on_j_k @ SV167 @ SV264 @ SY1331 @ SY1332 @ SY1333 ) ) )
= SY1332 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1085,plain,
! [SV265: list_char,SV168: product_unit,SV13: product_unit] :
( ( ! [SY1334: option_element_ptr_a,SY1335: list_n282880152tr_b_c,SY1336: option2026120038on_j_k] :
( ( docume1175131570on_j_k @ ( rObjec1303043984on_j_k @ SV13 @ ( rDocum427676485on_j_k @ SV168 @ SV265 @ SY1334 @ SY1335 @ SY1336 ) ) )
= SY1334 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1086,plain,
! [SV266: list_char,SV169: product_unit,SV14: product_unit] :
( ( ! [SY1337: option_element_ptr_a,SY1338: list_n282880152tr_b_c,SY1339: option2026120038on_j_k] :
( ( doctyp814403297on_j_k @ ( rObjec1303043984on_j_k @ SV14 @ ( rDocum427676485on_j_k @ SV169 @ SV266 @ SY1337 @ SY1338 @ SY1339 ) ) )
= SV266 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1087,plain,
! [SV267: list_char,SV170: product_unit,SV15: product_unit] :
( ( ! [SY1340: option_element_ptr_a,SY1341: list_n282880152tr_b_c,SY1342: option2026120038on_j_k] :
( ( nothin757132294on_j_k @ ( rObjec1303043984on_j_k @ SV15 @ ( rDocum427676485on_j_k @ SV170 @ SV267 @ SY1340 @ SY1341 @ SY1342 ) ) )
= SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1088,plain,
! [SV16: list_char] :
( ( ( ~ ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
| ( SV16 = nil_char ) ) )
= $true )
| ( ( ~ ( ( ( size_size_list_char @ SV16 )
!= zero_zero_nat )
| ( SV16 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(1089,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
| ( SV17 = nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ( ( ( size_s2106487044tr_b_c @ SV17 )
!= zero_zero_nat )
| ( SV17 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(1090,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 ) )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV27 )
!= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
!= SV27 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[960]) ).
thf(1091,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[960]) ).
thf(1092,plain,
! [SV173: list_char,SV46: list_char] :
( ( ~ ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
| ( SV173 = nil_char ) )
| ~ ( ( ( append_char @ SV46 @ SV173 )
!= SV46 )
| ( SV173 != nil_char ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[961]) ).
thf(1093,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= ( SV173 = nil_char ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[961]) ).
thf(1094,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ~ ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
| ( SV174 = nil_no279930520tr_b_c ) )
| ~ ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
!= SV47 )
| ( SV174 != nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[962]) ).
thf(1095,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= ( SV174 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[962]) ).
thf(1096,plain,
! [SV175: list_char,SV48: list_char] :
( ( ~ ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
| ( SV175 = nil_char ) )
| ~ ( ( SV48
!= ( append_char @ SV48 @ SV175 ) )
| ( SV175 != nil_char ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[963]) ).
thf(1097,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= ( SV175 = nil_char ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[963]) ).
thf(1098,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ~ ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 = nil_no279930520tr_b_c ) )
| ~ ( ( SV49
!= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 != nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[964]) ).
thf(1099,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= ( SV176 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[964]) ).
thf(1100,plain,
! [SV177: list_char,SV50: list_char] :
( ( ~ ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
| ( SV50 = nil_char ) )
| ~ ( ( ( append_char @ SV50 @ SV177 )
!= SV177 )
| ( SV50 != nil_char ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[965]) ).
thf(1101,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= ( SV50 = nil_char ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[965]) ).
thf(1102,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ~ ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
| ( SV51 = nil_no279930520tr_b_c ) )
| ~ ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
!= SV178 )
| ( SV51 != nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[966]) ).
thf(1103,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= ( SV51 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[966]) ).
thf(1104,plain,
! [SV179: list_char,SV52: list_char] :
( ( ~ ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
| ( SV179 = nil_char ) )
| ~ ( ( SV52
!= ( append_char @ SV179 @ SV52 ) )
| ( SV179 != nil_char ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[967]) ).
thf(1105,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= ( SV179 = nil_char ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[967]) ).
thf(1106,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ~ ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 = nil_no279930520tr_b_c ) )
| ~ ( ( SV53
!= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 != nil_no279930520tr_b_c ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[968]) ).
thf(1107,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= ( SV180 = nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[968]) ).
thf(1108,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
!= SV268 )
| ~ ( ( SV60 != nil_no279930520tr_b_c )
| ( SV268 != SV181 ) )
| ~ ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1109,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ~ ( SV61 @ nil_char @ nil_char )
| ~ ! [SY663: char,SY664: list_char] : ( SV61 @ ( cons_char @ SY663 @ SY664 ) @ nil_char )
| ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) )
| ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1110,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ~ ( SV62 @ nil_char @ nil_no279930520tr_b_c )
| ~ ! [SY673: char,SY674: list_char] : ( SV62 @ ( cons_char @ SY673 @ SY674 ) @ nil_no279930520tr_b_c )
| ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) )
| ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1111,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ~ ( ( is_doc1417632087_j_k_l @ SV184 )
| ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) )
| ~ ( ~ ( is_doc1417632087_j_k_l @ SV184 )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1112,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( is_doc1417632087_j_k_l @ SV184 )
= ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1113,plain,
! [SV185: list_n282880152tr_b_c > $o,SV64: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV64 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY1084: node_p1234578834tr_b_c] : ( SV185 @ ( cons_n413985352tr_b_c @ SY1084 @ nil_no279930520tr_b_c ) )
| ~ ! [SY1085: node_p1234578834tr_b_c,SY1086: list_n282880152tr_b_c] :
( ~ ( ( SY1086 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1086 )
| ( SV185 @ ( append846395565tr_b_c @ SY1086 @ ( cons_n413985352tr_b_c @ SY1085 @ nil_no279930520tr_b_c ) ) ) )
| ( SV185 @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1114,plain,
! [SV271: list_char,SV186: char,SV65: list_char] :
( ( ! [SY1361: char] :
( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SY1361 @ nil_char ) ) )
= ( ~ ( ( SV65 != SV271 )
| ( SV186 != SY1361 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(1115,plain,
! [SV272: list_char,SV187: list_char,SV66: list_char > list_char > $o] :
( ( ~ ! [SY690: list_char] : ( SV66 @ nil_char @ SY690 )
| ~ ! [SY691: char,SY692: list_char,SY693: list_char] :
( ~ ( SV66 @ SY693 @ SY692 )
| ( SV66 @ ( cons_char @ SY691 @ SY692 ) @ SY693 ) )
| ( SV66 @ SV187 @ SV272 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1116,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV67 @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY695: node_p1234578834tr_b_c] : ( SV67 @ ( cons_n413985352tr_b_c @ SY695 @ nil_no279930520tr_b_c ) )
| ~ ! [SY696: node_p1234578834tr_b_c,SY697: node_p1234578834tr_b_c,SY698: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY698 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ SY696 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) ) ) )
| ( SV67 @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1117,plain,
! [SV273: list_n282880152tr_b_c,SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ~ ! [SY701: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV68 @ SY701 @ nil_no279930520tr_b_c )
| ~ ! [SY702: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY703: node_p1234578834tr_b_c] : ( SV68 @ SY702 @ ( cons_n413985352tr_b_c @ SY703 @ nil_no279930520tr_b_c ) )
| ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SV189 @ SV273 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1118,plain,
! [SV190: list_char > $o,SV69: list_char] :
( ( ( ~ ( ( SV69 != nil_char ) ) )
= $true )
| ( ( ~ ! [SY1106: char] : ( SV190 @ ( cons_char @ SY1106 @ nil_char ) )
| ~ ! [SY1107: char,SY1108: list_char] :
( ~ ( ( SY1108 != nil_char ) )
| ~ ( SV190 @ SY1108 )
| ( SV190 @ ( cons_char @ SY1107 @ SY1108 ) ) )
| ( SV190 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(1119,plain,
! [SV70: list_char] :
( ( ( SV70 != nil_char )
= $false )
| ( ( ~ ! [SY712: list_char,SY713: char] :
( SV70
!= ( append_char @ SY712 @ ( cons_char @ SY713 @ nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1120,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ~ ( ( SV71 != none_S1393028981on_j_k )
| ( SV191 @ SV71 @ SV274 ) )
| ~ ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) )
| ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1121,plain,
! [SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV72 )
!= ( size_s2106487044tr_b_c @ SV192 ) )
| ~ ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY1375: node_p1234578834tr_b_c,SY1376: list_n282880152tr_b_c,SY1377: node_p1234578834tr_b_c,SY1378: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1376 )
!= ( size_s2106487044tr_b_c @ SY1378 ) )
| ~ ( SV275 @ SY1376 @ SY1378 )
| ( SV275 @ ( cons_n413985352tr_b_c @ SY1375 @ SY1376 ) @ ( cons_n413985352tr_b_c @ SY1377 @ SY1378 ) ) )
| ( SV275 @ SV72 @ SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1122,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= ( ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[982]) ).
thf(1123,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ( ~ ( SV74 @ nil_char ) )
= $true )
| ( ( ~ ! [SY728: char,SY729: list_char] :
( ~ ( SV74 @ SY729 )
| ( SV74 @ ( append_char @ SY729 @ ( cons_char @ SY728 @ nil_char ) ) ) )
| ( SV74 @ SV194 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1124,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= ( ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1125,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ~ ( ( SV76 != none_element_ptr_a )
| ( SV196 @ SV76 @ SV278 ) )
| ~ ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) )
| ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1126,plain,
! [SV279: list_n282880152tr_b_c,SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ~ ! [SY739: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV77 @ SY739 @ nil_no279930520tr_b_c )
| ~ ! [SY740: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY741: node_p1234578834tr_b_c,SY742: list_n282880152tr_b_c] :
( ~ ( SV77 @ SY740 @ SY742 )
| ( SV77 @ SY740 @ ( cons_n413985352tr_b_c @ SY741 @ SY742 ) ) )
| ( SV77 @ SV197 @ SV279 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1127,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
| ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1128,plain,
! [SV280: list_char,SV198: char > char > $o,SV79: ( char > char > $o ) > list_char > $o] :
( ( ~ ! [SY746: char > char > $o] : ( SV79 @ SY746 @ nil_char )
| ~ ! [SY747: char > char > $o,SY748: char,SY749: list_char] :
( ~ ( SV79 @ SY747 @ SY749 )
| ( SV79 @ SY747 @ ( cons_char @ SY748 @ SY749 ) ) )
| ( SV79 @ SV198 @ SV280 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1129,plain,
! [SV80: rObjec1617416918on_j_k] :
( ( ! [SY1391: product_unit,SY1392: list_char,SY1393: option_element_ptr_a,SY1394: list_n282880152tr_b_c,SY1395: option2026120038on_j_k] :
( SV80
!= ( rObjec1303043984on_j_k @ ( sK1_SY750 @ SV80 ) @ ( rDocum427676485on_j_k @ SY1391 @ SY1392 @ SY1393 @ SY1394 @ SY1395 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[990]) ).
thf(1130,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ~ ! [SY758: list_char] : ( SV81 @ nil_char @ SY758 )
| ~ ! [SY759: list_char] : ( SV81 @ SY759 @ nil_char )
| ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) )
| ( SV81 @ SV199 @ SV281 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1131,plain,
! [SV200: list_char,SV82: list_char > $o] :
( ( ( ~ ( SV82 @ nil_char ) )
= $true )
| ( ( ~ ! [SY765: char] : ( SV82 @ ( cons_char @ SY765 @ nil_char ) )
| ~ ! [SY766: char,SY767: char,SY768: list_char] :
( ~ ( ( SY766 != SY767 )
| ( SV82 @ ( cons_char @ SY766 @ SY768 ) ) )
| ~ ( ~ ( ( SY766 != SY767 ) )
| ( SV82 @ ( cons_char @ SY767 @ SY768 ) ) )
| ( SV82 @ ( cons_char @ SY766 @ ( cons_char @ SY767 @ SY768 ) ) ) )
| ( SV82 @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[992]) ).
thf(1132,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
| ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) )
| ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[993]) ).
thf(1133,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= ( ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[993]) ).
thf(1134,plain,
! [SV84: rObjec1617416918on_j_k] :
( ( ! [SY1402: rDocum326988203on_j_k] :
( SV84
!= ( rObjec1303043984on_j_k @ ( sK2_SY770 @ SV84 ) @ SY1402 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[994]) ).
thf(1135,plain,
! [SV85: list_n282880152tr_b_c] :
( ( ( SV85 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY772: node_p1234578834tr_b_c,SY773: list_n282880152tr_b_c] :
( SV85
!= ( cons_n413985352tr_b_c @ SY772 @ SY773 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1136,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= ( ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1137,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= ( ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1138,plain,
! [SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ! [SY1405: node_p1234578834tr_b_c] :
( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SY1405 @ nil_no279930520tr_b_c ) ) )
= ( ~ ( ( SV88 != SV284 )
| ( SV204 != SY1405 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1139,plain,
! [SV285: list_n282880152tr_b_c,SV205: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ~ ! [SY785: list_n282880152tr_b_c] : ( SV89 @ nil_no279930520tr_b_c @ SY785 )
| ~ ! [SY786: node_p1234578834tr_b_c,SY787: list_n282880152tr_b_c,SY788: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY788 @ SY787 )
| ( SV89 @ ( cons_n413985352tr_b_c @ SY786 @ SY787 ) @ SY788 ) )
| ( SV89 @ SV205 @ SV285 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1140,plain,
! [SV206: rObjec103300152t_unit,SV90: rObjec103300152t_unit > $o] :
( ( ( ~ ! [SY790: product_unit] : ( SV90 @ ( rObjec730108904t_unit @ SY790 @ product_Unity ) ) )
= $true )
| ( ( SV90 @ SV206 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1141,plain,
! [SV91: rObjec103300152t_unit] :
( ( SV91
!= ( rObjec730108904t_unit @ ( sK3_SY791 @ SV91 ) @ product_Unity ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1001]) ).
thf(1142,plain,
! [SV92: option_element_ptr_a] :
( ( ( ~ ( ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 = none_element_ptr_a ) ) )
= $true )
| ( ( ~ ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 != none_element_ptr_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1143,plain,
! [SV207: list_char > $o,SV93: list_char] :
( ( ( ~ ( ( SV93 != nil_char ) ) )
= $true )
| ( ( ~ ! [SY1159: char] : ( SV207 @ ( cons_char @ SY1159 @ nil_char ) )
| ~ ! [SY1160: char,SY1161: list_char] :
( ~ ( ( SY1161 != nil_char ) )
| ~ ( SV207 @ SY1161 )
| ( SV207 @ ( append_char @ SY1161 @ ( cons_char @ SY1160 @ nil_char ) ) ) )
| ( SV207 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1144,plain,
! [SV208: list_n282880152tr_b_c,SV94: list_n282880152tr_b_c] :
( ( ( SV94 != SV208 )
= $true )
| ( ( SV94
= ( append846395565tr_b_c @ nil_no279930520tr_b_c @ SV208 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1145,plain,
! [SV286: list_char,SV209: list_char,SV95: char] :
( ( ! [SY1410: list_char] :
( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SY1410 ) )
= ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SY1410 ) )
| ~ ! [SY1411: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1411 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1411 @ SY1410 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1146,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ( ~ ( SV96 @ nil_char ) )
= $true )
| ( ( ~ ! [SY803: char,SY804: list_char] :
( ~ ( SV96 @ SY804 )
| ( SV96 @ ( cons_char @ SY803 @ SY804 ) ) )
| ( SV96 @ SV210 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1147,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ! [SY1412: list_n282880152tr_b_c] :
( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SY1412 ) )
= ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SY1412 ) )
| ~ ! [SY1413: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1413 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1413 @ SY1412 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1008]) ).
thf(1148,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ~ ( ( SV98 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
| ~ ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
| ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1009]) ).
thf(1149,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= ( ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1150,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( SV100 != nil_li198338206tr_b_c )
= $false )
| ( ( ~ ! [SY816: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ SY816 ) )
| ~ ! [SY817: node_p1234578834tr_b_c,SY818: list_n282880152tr_b_c,SY819: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SY817 @ SY818 ) @ SY819 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1151,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV101 != nil_no279930520tr_b_c )
| ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1152,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ~ ( SV102 @ nil_char ) )
= $true )
| ( ( ~ ! [SY823: char] : ( SV102 @ ( cons_char @ SY823 @ nil_char ) )
| ~ ! [SY824: char,SY825: char,SY826: list_char] :
( ~ ( SV102 @ SY826 )
| ~ ( SV102 @ ( cons_char @ SY825 @ SY826 ) )
| ( SV102 @ ( cons_char @ SY824 @ ( cons_char @ SY825 @ SY826 ) ) ) )
| ( SV102 @ SV214 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1153,plain,
! [SV290: list_n282880152tr_b_c,SV215: node_p1234578834tr_b_c,SV103: list_n282880152tr_b_c] :
( ( ( SV103
!= ( cons_n413985352tr_b_c @ SV215 @ SV290 ) )
| ( SV103 != nil_no279930520tr_b_c ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1154,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ~ ( ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) )
| ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1016]) ).
thf(1155,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 ) )
= ( ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1016]) ).
thf(1156,plain,
! [SV105: option2026120038on_j_k] :
( ( ( ~ ( ( SV105 != none_S1393028981on_j_k )
| ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1157,plain,
! [SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ! [SY1417: list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ SV106 )
!= ( size_size_list_char @ SV217 ) )
| ( ( size_size_list_char @ SV217 )
!= ( size_size_list_char @ SV291 ) )
| ~ ( SY1417 @ nil_char @ nil_char @ nil_char )
| ~ ! [SX4: char,SX5: list_char,SX6: char,SX7: list_char,SX8: char,SX9: list_char] :
( ( ( size_size_list_char @ SX5 )
!= ( size_size_list_char @ SX7 ) )
| ( ( size_size_list_char @ SX7 )
!= ( size_size_list_char @ SX9 ) )
| ~ ( SY1417 @ SX5 @ SX7 @ SX9 )
| ( SY1417 @ ( cons_char @ SX4 @ SX5 ) @ ( cons_char @ SX6 @ SX7 ) @ ( cons_char @ SX8 @ SX9 ) ) )
| ( SY1417 @ SV106 @ SV217 @ SV291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1158,plain,
! [SV218: rObjec1617416918on_j_k,SV107: rObjec1617416918on_j_k > $o] :
( ( ( ~ ! [SY842: product_unit,SY843: rDocum326988203on_j_k] : ( SV107 @ ( rObjec1303043984on_j_k @ SY842 @ SY843 ) ) )
= $true )
| ( ( SV107 @ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1020]) ).
thf(1159,plain,
! [SV108: list_char] :
( ( ( SV108 != nil_char )
= $false )
| ( ( ~ ! [SY844: char] :
( SV108
!= ( cons_char @ SY844 @ nil_char ) )
| ~ ! [SY845: char,SY846: char,SY847: list_char] :
( SV108
!= ( cons_char @ SY845 @ ( cons_char @ SY846 @ SY847 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1160,plain,
! [SV109: list_n282880152tr_b_c] :
( ( ( SV109 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY848: list_n282880152tr_b_c,SY849: node_p1234578834tr_b_c] :
( SV109
!= ( append846395565tr_b_c @ SY848 @ ( cons_n413985352tr_b_c @ SY849 @ nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1161,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ~ ! [SY852: list_n282880152tr_b_c] : ( SV110 @ nil_no279930520tr_b_c @ SY852 )
| ~ ! [SY853: list_n282880152tr_b_c] : ( SV110 @ SY853 @ nil_no279930520tr_b_c )
| ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) )
| ( SV110 @ SV219 @ SV292 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1162,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ~ ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY860: node_p1234578834tr_b_c,SY861: list_n282880152tr_b_c] : ( SV111 @ ( cons_n413985352tr_b_c @ SY860 @ SY861 ) @ nil_no279930520tr_b_c )
| ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) )
| ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1163,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ~ ( ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
| ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1025]) ).
thf(1164,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1025]) ).
thf(1165,plain,
! [SV222: rObjec1617416918on_j_k,SV113: rObjec1617416918on_j_k > $o] :
( ( ( ~ ! [SY871: product_unit,SY872: product_unit,SY873: list_char,SY874: option_element_ptr_a,SY875: list_n282880152tr_b_c,SY876: option2026120038on_j_k] : ( SV113 @ ( rObjec1303043984on_j_k @ SY871 @ ( rDocum427676485on_j_k @ SY872 @ SY873 @ SY874 @ SY875 @ SY876 ) ) ) )
= $true )
| ( ( SV113 @ SV222 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1166,plain,
! [SV294: list_char,SV223: char,SV114: list_char] :
( ( ( SV114
!= ( cons_char @ SV223 @ SV294 ) )
| ( SV114 != nil_char ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1167,plain,
! [SV224: list_char,SV115: char] :
( ( nil_char
= ( cons_char @ SV115 @ SV224 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1168,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
| ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) )
| ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1029]) ).
thf(1169,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= ( ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1029]) ).
thf(1170,plain,
! [SV226: list_n282880152tr_b_c,SV117: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV117 @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY882: node_p1234578834tr_b_c] : ( SV117 @ ( cons_n413985352tr_b_c @ SY882 @ nil_no279930520tr_b_c ) )
| ~ ! [SY883: node_p1234578834tr_b_c,SY884: node_p1234578834tr_b_c,SY885: list_n282880152tr_b_c] :
( ~ ( ( SY883 != SY884 )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ SY885 ) ) )
| ~ ( ~ ( ( SY883 != SY884 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) ) )
| ( SV117 @ SV226 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1171,plain,
! [SV118: list_list_char] :
( ( ( SV118 != nil_list_char )
= $false )
| ( ( ~ ! [SY886: list_list_char] :
( SV118
!= ( cons_list_char @ nil_char @ SY886 ) )
| ~ ! [SY887: char,SY888: list_char,SY889: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ SY887 @ SY888 ) @ SY889 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1172,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ~ ( ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
| ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1032]) ).
thf(1173,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1032]) ).
thf(1174,plain,
! [SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ! [SY1438: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( size_s2106487044tr_b_c @ SV120 )
!= ( size_s2106487044tr_b_c @ SV228 ) )
| ( ( size_s2106487044tr_b_c @ SV228 )
!= ( size_s2106487044tr_b_c @ SV295 ) )
| ~ ( SY1438 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SX4: node_p1234578834tr_b_c,SX5: list_n282880152tr_b_c,SX6: node_p1234578834tr_b_c,SX7: list_n282880152tr_b_c,SX8: node_p1234578834tr_b_c,SX9: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SX5 )
!= ( size_s2106487044tr_b_c @ SX7 ) )
| ( ( size_s2106487044tr_b_c @ SX7 )
!= ( size_s2106487044tr_b_c @ SX9 ) )
| ~ ( SY1438 @ SX5 @ SX7 @ SX9 )
| ( SY1438 @ ( cons_n413985352tr_b_c @ SX4 @ SX5 ) @ ( cons_n413985352tr_b_c @ SX6 @ SX7 ) @ ( cons_n413985352tr_b_c @ SX8 @ SX9 ) ) )
| ( SY1438 @ SV120 @ SV228 @ SV295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1175,plain,
! [SV229: list_char,SV121: list_char] :
( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
| ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) )
| ~ ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1176,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= ( ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1177,plain,
! [SV230: list_char,SV122: list_char] :
( ( ~ ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
| ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) )
| ~ ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1035]) ).
thf(1178,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= ( ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1035]) ).
thf(1179,plain,
! [SV231: list_char,SV123: list_char] :
( ( ~ ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
| ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) )
| ~ ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1036]) ).
thf(1180,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= ( ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1036]) ).
thf(1181,plain,
! [SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ! [SY1445: list_char,SY1446: list_char > list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ SV124 )
!= ( size_size_list_char @ SV232 ) )
| ( ( size_size_list_char @ SV232 )
!= ( size_size_list_char @ SV296 ) )
| ( ( size_size_list_char @ SV296 )
!= ( size_size_list_char @ SY1445 ) )
| ~ ( SY1446 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SX5: char,SX6: list_char,SX7: char,SX8: list_char,SX9: char,SX10: list_char,SX11: char,SX12: list_char] :
( ( ( size_size_list_char @ SX6 )
!= ( size_size_list_char @ SX8 ) )
| ( ( size_size_list_char @ SX8 )
!= ( size_size_list_char @ SX10 ) )
| ( ( size_size_list_char @ SX10 )
!= ( size_size_list_char @ SX12 ) )
| ~ ( SY1446 @ SX6 @ SX8 @ SX10 @ SX12 )
| ( SY1446 @ ( cons_char @ SX5 @ SX6 ) @ ( cons_char @ SX7 @ SX8 ) @ ( cons_char @ SX9 @ SX10 ) @ ( cons_char @ SX11 @ SX12 ) ) )
| ( SY1446 @ SV124 @ SV232 @ SV296 @ SY1445 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1182,plain,
! [SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ! [SY1455: rDocum326988203on_j_k] :
( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SY1455 ) )
= ( ~ ( ( SV125 != SV297 )
| ( SV233 != SY1455 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1183,plain,
! [SV234: sum_su1221287958on_j_k,SV126: option2026120038on_j_k] :
( ( ( SV126
!= ( some_S1960742641on_j_k @ SV234 ) )
= $true )
| ( ( SV126 != none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1184,plain,
! [SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ! [SY1456: list_n282880152tr_b_c,SY1457: option2026120038on_j_k,SY1458: product_unit,SY1459: list_char,SY1460: option_element_ptr_a,SY1461: list_n282880152tr_b_c,SY1462: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SY1456 @ SY1457 )
= ( rDocum427676485on_j_k @ SY1458 @ SY1459 @ SY1460 @ SY1461 @ SY1462 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SY1458 )
| ( SV235 != SY1459 ) )
| ( SV298 != SY1460 ) )
| ( SY1456 != SY1461 ) )
| ( SY1457 != SY1462 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1185,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= ( ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1186,plain,
! [SV237: list_n282880152tr_b_c > $o,SV129: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV129 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY1254: node_p1234578834tr_b_c] : ( SV237 @ ( cons_n413985352tr_b_c @ SY1254 @ nil_no279930520tr_b_c ) )
| ~ ! [SY1255: node_p1234578834tr_b_c,SY1256: list_n282880152tr_b_c] :
( ~ ( ( SY1256 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1256 )
| ( SV237 @ ( cons_n413985352tr_b_c @ SY1255 @ SY1256 ) ) )
| ( SV237 @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1187,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ~ ( ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 = none_S1393028981on_j_k ) ) )
= $true )
| ( ( ~ ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 != none_S1393028981on_j_k ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1188,plain,
! [SV238: element_ptr_a,SV131: option_element_ptr_a] :
( ( ( SV131
!= ( some_element_ptr_a @ SV238 ) )
= $true )
| ( ( SV131 != none_element_ptr_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1189,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ~ ( ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) )
| ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1046]) ).
thf(1190,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 ) )
= ( ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1046]) ).
thf(1191,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ~ ( ( SV133 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
| ~ ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
| ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1047]) ).
thf(1192,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV134 @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY945: node_p1234578834tr_b_c,SY946: list_n282880152tr_b_c] :
( ~ ( SV134 @ SY946 )
| ( SV134 @ ( append846395565tr_b_c @ SY946 @ ( cons_n413985352tr_b_c @ SY945 @ nil_no279930520tr_b_c ) ) ) )
| ( SV134 @ SV241 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1193,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= ( ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1194,plain,
! [SV137: list_char] :
( ( ( ~ ( ( SV137 != nil_char )
| ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1195,plain,
! [SV302: char,SV243: list_char,SV138: list_char] :
( ( ! [SY1467: list_char] :
( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SY1467 ) )
= ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SY1467 ) ) )
| ~ ! [SY1468: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1468 ) )
| ( ( append_char @ SY1468 @ SV243 )
!= SY1467 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1053]) ).
thf(1196,plain,
! [SV303: list_char,SV244: char > char > $o,SV139: ( char > char > $o ) > list_char > $o] :
( ( ~ ! [SY958: char > char > $o] : ( SV139 @ SY958 @ nil_char )
| ~ ! [SY959: char > char > $o,SY960: char] : ( SV139 @ SY959 @ ( cons_char @ SY960 @ nil_char ) )
| ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SV244 @ SV303 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1197,plain,
! [SV140: option_element_ptr_a] :
( ( ( ~ ( ( SV140 != none_element_ptr_a )
| ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1198,plain,
! [SV245: option2026120038on_j_k,SV141: option2026120038on_j_k > $o] :
( ( ( ~ ( SV141 @ none_S1393028981on_j_k ) )
= $true )
| ( ( ~ ! [SY967: sum_su1221287958on_j_k] : ( SV141 @ ( some_S1960742641on_j_k @ SY967 ) )
| ( SV141 @ SV245 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1199,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV142 @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY969: node_p1234578834tr_b_c,SY970: list_n282880152tr_b_c] :
( ~ ( SV142 @ SY970 )
| ( SV142 @ ( cons_n413985352tr_b_c @ SY969 @ SY970 ) ) )
| ( SV142 @ SV246 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1200,plain,
! [SV247: list_char,SV143: list_char] :
( ( ( SV143 != SV247 )
= $true )
| ( ( SV143
= ( append_char @ nil_char @ SV247 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1201,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( SV144 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY972: node_p1234578834tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY972 @ nil_no279930520tr_b_c ) )
| ~ ! [SY973: node_p1234578834tr_b_c,SY974: node_p1234578834tr_b_c,SY975: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY973 @ ( cons_n413985352tr_b_c @ SY974 @ SY975 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1202,plain,
! [SV248: option_element_ptr_a,SV145: option_element_ptr_a > $o] :
( ( ( ~ ( SV145 @ none_element_ptr_a ) )
= $true )
| ( ( ~ ! [SY977: element_ptr_a] : ( SV145 @ ( some_element_ptr_a @ SY977 ) )
| ( SV145 @ SV248 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1203,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ~ ( SV146 @ nil_no279930520tr_b_c @ nil_char )
| ~ ! [SY980: node_p1234578834tr_b_c,SY981: list_n282880152tr_b_c] : ( SV146 @ ( cons_n413985352tr_b_c @ SY980 @ SY981 ) @ nil_char )
| ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) )
| ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1204,plain,
! [SV305: list_char > list_char > $o,SV250: list_char,SV147: list_char] :
( ( ( ( size_size_list_char @ SV147 )
!= ( size_size_list_char @ SV250 ) )
| ~ ( SV305 @ nil_char @ nil_char )
| ~ ! [SY1484: char,SY1485: list_char,SY1486: char,SY1487: list_char] :
( ( ( size_size_list_char @ SY1485 )
!= ( size_size_list_char @ SY1487 ) )
| ~ ( SV305 @ SY1485 @ SY1487 )
| ( SV305 @ ( cons_char @ SY1484 @ SY1485 ) @ ( cons_char @ SY1486 @ SY1487 ) ) )
| ( SV305 @ SV147 @ SV250 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1063]) ).
thf(1205,plain,
! [SV148: option_element_ptr_a] :
( ( ( SV148 != none_element_ptr_a )
= $false )
| ( ( ~ ! [SY994: element_ptr_a] :
( SV148
!= ( some_element_ptr_a @ SY994 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1206,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= ( ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1207,plain,
! [SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ! [SY1489: list_n282880152tr_b_c] :
( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SY1489 ) )
= ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SY1489 ) ) )
| ~ ! [SY1490: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1490 ) )
| ( ( append846395565tr_b_c @ SY1490 @ SV252 )
!= SY1489 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1066]) ).
thf(1208,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( ( splice_char @ SV151 @ SV253 )
!= SV308 )
| ~ ( ( SV151 != nil_char )
| ( SV308 != SV253 ) )
| ~ ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1209,plain,
! [SV152: option2026120038on_j_k] :
( ( ( SV152 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1006: sum_su1221287958on_j_k] :
( SV152
!= ( some_S1960742641on_j_k @ SY1006 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1210,plain,
! [SV254: rDocum326988203on_j_k,SV153: rDocum326988203on_j_k > $o] :
( ( ( ~ ! [SY1008: product_unit,SY1009: list_char,SY1010: option_element_ptr_a,SY1011: list_n282880152tr_b_c,SY1012: option2026120038on_j_k] : ( SV153 @ ( rDocum427676485on_j_k @ SY1008 @ SY1009 @ SY1010 @ SY1011 @ SY1012 ) ) )
= $true )
| ( ( SV153 @ SV254 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1069]) ).
thf(1211,plain,
! [SV255: list_n282880152tr_b_c,SV154: node_p1234578834tr_b_c] :
( ( nil_no279930520tr_b_c
= ( cons_n413985352tr_b_c @ SV154 @ SV255 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1212,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ~ ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) )
| ~ ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1072]) ).
thf(1213,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= ( ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1072]) ).
thf(1214,plain,
! [SV157: list_char] :
( ( ( SV157 != nil_char )
= $false )
| ( ( ~ ! [SY1015: char,SY1016: list_char] :
( SV157
!= ( cons_char @ SY1015 @ SY1016 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1215,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ~ ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 = SV158 ) ) )
= $true )
| ( ( ~ ( ( ( cast_D1252964113_h_i_l @ SV1 )
!= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 != SV158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1216,plain,
! [SV309: rObjec1617416918on_j_k,SV159: docume1935157360tr_d_e] :
( ( ( put_D_2126422573_h_i_l @ SV159 @ SV309 )
= ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ SV159 ) @ ( cast_D1252964113_h_i_l @ SV309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1217,plain,
! [SV310: list_char,SV258: product_unit,SV160: product_unit,SV5: product_unit > product_unit] :
( ( ! [SY1493: option_element_ptr_a,SY1494: list_n282880152tr_b_c,SY1495: option2026120038on_j_k] :
( ( nothin1105341917on_j_k @ SV5 @ ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ SV258 @ SV310 @ SY1493 @ SY1494 @ SY1495 ) ) )
= ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ ( SV5 @ SV258 ) @ SV310 @ SY1493 @ SY1494 @ SY1495 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1218,plain,
! [SV311: list_char,SV259: product_unit,SV161: product_unit,SV6: list_char > list_char] :
( ( ! [SY1496: option_element_ptr_a,SY1497: list_n282880152tr_b_c,SY1498: option2026120038on_j_k] :
( ( doctyp68000440on_j_k @ SV6 @ ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ SV311 @ SY1496 @ SY1497 @ SY1498 ) ) )
= ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ ( SV6 @ SV311 ) @ SY1496 @ SY1497 @ SY1498 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1219,plain,
! [SV312: list_char,SV260: product_unit,SV162: product_unit,SV7: option_element_ptr_a > option_element_ptr_a] :
( ( ! [SY1499: option_element_ptr_a,SY1500: list_n282880152tr_b_c,SY1501: option2026120038on_j_k] :
( ( docume244715269on_j_k @ SV7 @ ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SV312 @ SY1499 @ SY1500 @ SY1501 ) ) )
= ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SV312 @ ( SV7 @ SY1499 ) @ SY1500 @ SY1501 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1220,plain,
! [SV313: list_char,SV261: product_unit,SV163: product_unit,SV8: list_n282880152tr_b_c > list_n282880152tr_b_c] :
( ( ! [SY1502: option_element_ptr_a,SY1503: list_n282880152tr_b_c,SY1504: option2026120038on_j_k] :
( ( discon442323090on_j_k @ SV8 @ ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SV313 @ SY1502 @ SY1503 @ SY1504 ) ) )
= ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SV313 @ SY1502 @ ( SV8 @ SY1503 ) @ SY1504 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1081]) ).
thf(1221,plain,
! [SV314: list_char,SV262: product_unit,SV165: product_unit,SV10: option2026120038on_j_k > option2026120038on_j_k] :
( ( ! [SY1505: option_element_ptr_a,SY1506: list_n282880152tr_b_c,SY1507: option2026120038on_j_k] :
( ( more_u1044474223_c_a_b @ SV10 @ ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SV314 @ SY1505 @ SY1506 @ SY1507 ) ) )
= ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SV314 @ SY1505 @ SY1506 @ ( SV10 @ SY1507 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1082]) ).
thf(1222,plain,
! [SV315: option_element_ptr_a,SV263: list_char,SV166: product_unit,SV11: product_unit] :
( ( ! [SY1508: list_n282880152tr_b_c,SY1509: option2026120038on_j_k] :
( ( more_c1453068134on_j_k @ ( rObjec1303043984on_j_k @ SV11 @ ( rDocum427676485on_j_k @ SV166 @ SV263 @ SV315 @ SY1508 @ SY1509 ) ) )
= SY1509 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1223,plain,
! [SV316: option_element_ptr_a,SV264: list_char,SV167: product_unit,SV12: product_unit] :
( ( ! [SY1510: list_n282880152tr_b_c,SY1511: option2026120038on_j_k] :
( ( discon866287741on_j_k @ ( rObjec1303043984on_j_k @ SV12 @ ( rDocum427676485on_j_k @ SV167 @ SV264 @ SV316 @ SY1510 @ SY1511 ) ) )
= SY1510 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1224,plain,
! [SV317: option_element_ptr_a,SV265: list_char,SV168: product_unit,SV13: product_unit] :
( ( ! [SY1512: list_n282880152tr_b_c,SY1513: option2026120038on_j_k] :
( ( docume1175131570on_j_k @ ( rObjec1303043984on_j_k @ SV13 @ ( rDocum427676485on_j_k @ SV168 @ SV265 @ SV317 @ SY1512 @ SY1513 ) ) )
= SV317 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1225,plain,
! [SV318: option_element_ptr_a,SV266: list_char,SV169: product_unit,SV14: product_unit] :
( ( ! [SY1514: list_n282880152tr_b_c,SY1515: option2026120038on_j_k] :
( ( doctyp814403297on_j_k @ ( rObjec1303043984on_j_k @ SV14 @ ( rDocum427676485on_j_k @ SV169 @ SV266 @ SV318 @ SY1514 @ SY1515 ) ) )
= SV266 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1226,plain,
! [SV319: option_element_ptr_a,SV267: list_char,SV170: product_unit,SV15: product_unit] :
( ( ! [SY1516: list_n282880152tr_b_c,SY1517: option2026120038on_j_k] :
( ( nothin757132294on_j_k @ ( rObjec1303043984on_j_k @ SV15 @ ( rDocum427676485on_j_k @ SV170 @ SV267 @ SV319 @ SY1516 @ SY1517 ) ) )
= SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1227,plain,
! [SV16: list_char] :
( ( ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
| ( SV16 = nil_char ) )
= $false )
| ( ( ~ ( ( ( size_size_list_char @ SV16 )
!= zero_zero_nat )
| ( SV16 != nil_char ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1228,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
| ( SV17 = nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ( ( ( size_s2106487044tr_b_c @ SV17 )
!= zero_zero_nat )
| ( SV17 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1229,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 ) ) )
= $true )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV27 )
!= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
!= SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1090]) ).
thf(1230,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ~ ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
| ( SV173 = nil_char ) ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV46 @ SV173 )
!= SV46 )
| ( SV173 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1231,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
| ( SV174 = nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
!= SV47 )
| ( SV174 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1232,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( ~ ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
| ( SV175 = nil_char ) ) )
= $true )
| ( ( ~ ( ( SV48
!= ( append_char @ SV48 @ SV175 ) )
| ( SV175 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1233,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 = nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ( ( SV49
!= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1234,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ~ ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
| ( SV50 = nil_char ) ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV50 @ SV177 )
!= SV177 )
| ( SV50 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1235,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
| ( SV51 = nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
!= SV178 )
| ( SV51 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1102]) ).
thf(1236,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( ~ ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
| ( SV179 = nil_char ) ) )
= $true )
| ( ( ~ ( ( SV52
!= ( append_char @ SV179 @ SV52 ) )
| ( SV179 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1237,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 = nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ( ( SV53
!= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1106]) ).
thf(1238,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
!= SV268 )
= $true )
| ( ( ~ ( ( SV60 != nil_no279930520tr_b_c )
| ( SV268 != SV181 ) )
| ~ ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1239,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ~ ( SV61 @ nil_char @ nil_char ) )
= $true )
| ( ( ~ ! [SY663: char,SY664: list_char] : ( SV61 @ ( cons_char @ SY663 @ SY664 ) @ nil_char )
| ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) )
| ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1109]) ).
thf(1240,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV62 @ nil_char @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY673: char,SY674: list_char] : ( SV62 @ ( cons_char @ SY673 @ SY674 ) @ nil_no279930520tr_b_c )
| ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) )
| ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1241,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ~ ( ( is_doc1417632087_j_k_l @ SV184 )
| ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) )
= $true )
| ( ( ~ ( ~ ( is_doc1417632087_j_k_l @ SV184 )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1111]) ).
thf(1242,plain,
! [SV185: list_n282880152tr_b_c > $o,SV64: list_n282880152tr_b_c] :
( ( ( SV64 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1084: node_p1234578834tr_b_c] : ( SV185 @ ( cons_n413985352tr_b_c @ SY1084 @ nil_no279930520tr_b_c ) )
| ~ ! [SY1085: node_p1234578834tr_b_c,SY1086: list_n282880152tr_b_c] :
( ~ ( ( SY1086 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1086 )
| ( SV185 @ ( append846395565tr_b_c @ SY1086 @ ( cons_n413985352tr_b_c @ SY1085 @ nil_no279930520tr_b_c ) ) ) )
| ( SV185 @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1243,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= ( ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1244,plain,
! [SV272: list_char,SV187: list_char,SV66: list_char > list_char > $o] :
( ( ( ~ ! [SY690: list_char] : ( SV66 @ nil_char @ SY690 ) )
= $true )
| ( ( ~ ! [SY691: char,SY692: list_char,SY693: list_char] :
( ~ ( SV66 @ SY693 @ SY692 )
| ( SV66 @ ( cons_char @ SY691 @ SY692 ) @ SY693 ) )
| ( SV66 @ SV187 @ SV272 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1115]) ).
thf(1245,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( SV67 @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY695: node_p1234578834tr_b_c] : ( SV67 @ ( cons_n413985352tr_b_c @ SY695 @ nil_no279930520tr_b_c ) )
| ~ ! [SY696: node_p1234578834tr_b_c,SY697: node_p1234578834tr_b_c,SY698: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY698 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ SY696 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) ) ) )
| ( SV67 @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1246,plain,
! [SV273: list_n282880152tr_b_c,SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY701: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV68 @ SY701 @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY702: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY703: node_p1234578834tr_b_c] : ( SV68 @ SY702 @ ( cons_n413985352tr_b_c @ SY703 @ nil_no279930520tr_b_c ) )
| ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SV189 @ SV273 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1247,plain,
! [SV190: list_char > $o,SV69: list_char] :
( ( ( SV69 != nil_char )
= $false )
| ( ( ~ ! [SY1106: char] : ( SV190 @ ( cons_char @ SY1106 @ nil_char ) )
| ~ ! [SY1107: char,SY1108: list_char] :
( ~ ( ( SY1108 != nil_char ) )
| ~ ( SV190 @ SY1108 )
| ( SV190 @ ( cons_char @ SY1107 @ SY1108 ) ) )
| ( SV190 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1248,plain,
! [SV70: list_char] :
( ( ( SV70 = nil_char )
= $true )
| ( ( ~ ! [SY712: list_char,SY713: char] :
( SV70
!= ( append_char @ SY712 @ ( cons_char @ SY713 @ nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1249,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ~ ( ( SV71 != none_S1393028981on_j_k )
| ( SV191 @ SV71 @ SV274 ) ) )
= $true )
| ( ( ~ ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) )
| ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1250,plain,
! [SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV72 )
!= ( size_s2106487044tr_b_c @ SV192 ) )
= $true )
| ( ( ~ ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY1375: node_p1234578834tr_b_c,SY1376: list_n282880152tr_b_c,SY1377: node_p1234578834tr_b_c,SY1378: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1376 )
!= ( size_s2106487044tr_b_c @ SY1378 ) )
| ~ ( SV275 @ SY1376 @ SY1378 )
| ( SV275 @ ( cons_n413985352tr_b_c @ SY1375 @ SY1376 ) @ ( cons_n413985352tr_b_c @ SY1377 @ SY1378 ) ) )
| ( SV275 @ SV72 @ SV192 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1251,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ~ ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
| ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1252,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= ( ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1253,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ( SV74 @ nil_char )
= $false )
| ( ( ~ ! [SY728: char,SY729: list_char] :
( ~ ( SV74 @ SY729 )
| ( SV74 @ ( append_char @ SY729 @ ( cons_char @ SY728 @ nil_char ) ) ) )
| ( SV74 @ SV194 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1254,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ~ ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
| ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1124]) ).
thf(1255,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= ( ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1124]) ).
thf(1256,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ~ ( ( SV76 != none_element_ptr_a )
| ( SV196 @ SV76 @ SV278 ) ) )
= $true )
| ( ( ~ ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) )
| ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1125]) ).
thf(1257,plain,
! [SV279: list_n282880152tr_b_c,SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY739: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV77 @ SY739 @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY740: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY741: node_p1234578834tr_b_c,SY742: list_n282880152tr_b_c] :
( ~ ( SV77 @ SY740 @ SY742 )
| ( SV77 @ SY740 @ ( cons_n413985352tr_b_c @ SY741 @ SY742 ) ) )
| ( SV77 @ SV197 @ SV279 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1258,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
| ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $false )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1259,plain,
! [SV280: list_char,SV198: char > char > $o,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( ~ ! [SY746: char > char > $o] : ( SV79 @ SY746 @ nil_char ) )
= $true )
| ( ( ~ ! [SY747: char > char > $o,SY748: char,SY749: list_char] :
( ~ ( SV79 @ SY747 @ SY749 )
| ( SV79 @ SY747 @ ( cons_char @ SY748 @ SY749 ) ) )
| ( SV79 @ SV198 @ SV280 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1260,plain,
! [SV80: rObjec1617416918on_j_k] :
( ( ! [SY1518: list_char,SY1519: option_element_ptr_a,SY1520: list_n282880152tr_b_c,SY1521: option2026120038on_j_k] :
( SV80
!= ( rObjec1303043984on_j_k @ ( sK1_SY750 @ SV80 ) @ ( rDocum427676485on_j_k @ ( sK4_SY1391 @ SV80 ) @ SY1518 @ SY1519 @ SY1520 @ SY1521 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1129]) ).
thf(1261,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ~ ! [SY758: list_char] : ( SV81 @ nil_char @ SY758 ) )
= $true )
| ( ( ~ ! [SY759: list_char] : ( SV81 @ SY759 @ nil_char )
| ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) )
| ( SV81 @ SV199 @ SV281 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1262,plain,
! [SV200: list_char,SV82: list_char > $o] :
( ( ( SV82 @ nil_char )
= $false )
| ( ( ~ ! [SY765: char] : ( SV82 @ ( cons_char @ SY765 @ nil_char ) )
| ~ ! [SY766: char,SY767: char,SY768: list_char] :
( ~ ( ( SY766 != SY767 )
| ( SV82 @ ( cons_char @ SY766 @ SY768 ) ) )
| ~ ( ~ ( ( SY766 != SY767 ) )
| ( SV82 @ ( cons_char @ SY767 @ SY768 ) ) )
| ( SV82 @ ( cons_char @ SY766 @ ( cons_char @ SY767 @ SY768 ) ) ) )
| ( SV82 @ SV200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1263,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
| ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1264,plain,
! [SV84: rObjec1617416918on_j_k] :
( ( SV84
!= ( rObjec1303043984on_j_k @ ( sK2_SY770 @ SV84 ) @ ( sK5_SY1402 @ SV84 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1134]) ).
thf(1265,plain,
! [SV85: list_n282880152tr_b_c] :
( ( ( SV85 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY772: node_p1234578834tr_b_c,SY773: list_n282880152tr_b_c] :
( SV85
!= ( cons_n413985352tr_b_c @ SY772 @ SY773 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1266,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ~ ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
| ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1136]) ).
thf(1267,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= ( ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1136]) ).
thf(1268,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ~ ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
| ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1137]) ).
thf(1269,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= ( ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1137]) ).
thf(1270,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= ( ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1271,plain,
! [SV285: list_n282880152tr_b_c,SV205: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY785: list_n282880152tr_b_c] : ( SV89 @ nil_no279930520tr_b_c @ SY785 ) )
= $true )
| ( ( ~ ! [SY786: node_p1234578834tr_b_c,SY787: list_n282880152tr_b_c,SY788: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY788 @ SY787 )
| ( SV89 @ ( cons_n413985352tr_b_c @ SY786 @ SY787 ) @ SY788 ) )
| ( SV89 @ SV205 @ SV285 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1272,plain,
! [SV206: rObjec103300152t_unit,SV90: rObjec103300152t_unit > $o] :
( ( ( ! [SY790: product_unit] : ( SV90 @ ( rObjec730108904t_unit @ SY790 @ product_Unity ) ) )
= $false )
| ( ( SV90 @ SV206 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1273,plain,
! [SV91: rObjec103300152t_unit] :
( ( SV91
= ( rObjec730108904t_unit @ ( sK3_SY791 @ SV91 ) @ product_Unity ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1274,plain,
! [SV92: option_element_ptr_a] :
( ( ( ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 = none_element_ptr_a ) )
= $false )
| ( ( ~ ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 != none_element_ptr_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1275,plain,
! [SV207: list_char > $o,SV93: list_char] :
( ( ( SV93 != nil_char )
= $false )
| ( ( ~ ! [SY1159: char] : ( SV207 @ ( cons_char @ SY1159 @ nil_char ) )
| ~ ! [SY1160: char,SY1161: list_char] :
( ~ ( ( SY1161 != nil_char ) )
| ~ ( SV207 @ SY1161 )
| ( SV207 @ ( append_char @ SY1161 @ ( cons_char @ SY1160 @ nil_char ) ) ) )
| ( SV207 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1276,plain,
! [SV208: list_n282880152tr_b_c,SV94: list_n282880152tr_b_c] :
( ( ( SV94 = SV208 )
= $false )
| ( ( SV94
= ( append846395565tr_b_c @ nil_no279930520tr_b_c @ SV208 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1277,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1278,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ( SV96 @ nil_char )
= $false )
| ( ( ~ ! [SY803: char,SY804: list_char] :
( ~ ( SV96 @ SY804 )
| ( SV96 @ ( cons_char @ SY803 @ SY804 ) ) )
| ( SV96 @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1279,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1280,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ~ ( ( SV98 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) ) )
= $true )
| ( ( ~ ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
| ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1148]) ).
thf(1281,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ~ ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
| ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1149]) ).
thf(1282,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= ( ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1149]) ).
thf(1283,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( SV100 = nil_li198338206tr_b_c )
= $true )
| ( ( ~ ! [SY816: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ SY816 ) )
| ~ ! [SY817: node_p1234578834tr_b_c,SY818: list_n282880152tr_b_c,SY819: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SY817 @ SY818 ) @ SY819 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1150]) ).
thf(1284,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ( SV101 != nil_no279930520tr_b_c )
| ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1285,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( SV102 @ nil_char )
= $false )
| ( ( ~ ! [SY823: char] : ( SV102 @ ( cons_char @ SY823 @ nil_char ) )
| ~ ! [SY824: char,SY825: char,SY826: list_char] :
( ~ ( SV102 @ SY826 )
| ~ ( SV102 @ ( cons_char @ SY825 @ SY826 ) )
| ( SV102 @ ( cons_char @ SY824 @ ( cons_char @ SY825 @ SY826 ) ) ) )
| ( SV102 @ SV214 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1286,plain,
! [SV290: list_n282880152tr_b_c,SV215: node_p1234578834tr_b_c,SV103: list_n282880152tr_b_c] :
( ( ( SV103
!= ( cons_n413985352tr_b_c @ SV215 @ SV290 ) )
= $true )
| ( ( SV103 != nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1287,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1288,plain,
! [SV105: option2026120038on_j_k] :
( ( ( ( SV105 != none_S1393028981on_j_k )
| ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1289,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ( size_size_list_char @ SV106 )
!= ( size_size_list_char @ SV217 ) )
| ( ( size_size_list_char @ SV217 )
!= ( size_size_list_char @ SV291 ) )
| ~ ( SV324 @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1524: char,SY1525: list_char,SY1526: char,SY1527: list_char,SY1528: char,SY1529: list_char] :
( ( ( size_size_list_char @ SY1525 )
!= ( size_size_list_char @ SY1527 ) )
| ( ( size_size_list_char @ SY1527 )
!= ( size_size_list_char @ SY1529 ) )
| ~ ( SV324 @ SY1525 @ SY1527 @ SY1529 )
| ( SV324 @ ( cons_char @ SY1524 @ SY1525 ) @ ( cons_char @ SY1526 @ SY1527 ) @ ( cons_char @ SY1528 @ SY1529 ) ) )
| ( SV324 @ SV106 @ SV217 @ SV291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1290,plain,
! [SV218: rObjec1617416918on_j_k,SV107: rObjec1617416918on_j_k > $o] :
( ( ( ! [SY842: product_unit,SY843: rDocum326988203on_j_k] : ( SV107 @ ( rObjec1303043984on_j_k @ SY842 @ SY843 ) ) )
= $false )
| ( ( SV107 @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1291,plain,
! [SV108: list_char] :
( ( ( SV108 = nil_char )
= $true )
| ( ( ~ ! [SY844: char] :
( SV108
!= ( cons_char @ SY844 @ nil_char ) )
| ~ ! [SY845: char,SY846: char,SY847: list_char] :
( SV108
!= ( cons_char @ SY845 @ ( cons_char @ SY846 @ SY847 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1292,plain,
! [SV109: list_n282880152tr_b_c] :
( ( ( SV109 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY848: list_n282880152tr_b_c,SY849: node_p1234578834tr_b_c] :
( SV109
!= ( append846395565tr_b_c @ SY848 @ ( cons_n413985352tr_b_c @ SY849 @ nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1293,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY852: list_n282880152tr_b_c] : ( SV110 @ nil_no279930520tr_b_c @ SY852 ) )
= $true )
| ( ( ~ ! [SY853: list_n282880152tr_b_c] : ( SV110 @ SY853 @ nil_no279930520tr_b_c )
| ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) )
| ( SV110 @ SV219 @ SV292 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1294,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY860: node_p1234578834tr_b_c,SY861: list_n282880152tr_b_c] : ( SV111 @ ( cons_n413985352tr_b_c @ SY860 @ SY861 ) @ nil_no279930520tr_b_c )
| ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) )
| ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1162]) ).
thf(1295,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1163]) ).
thf(1296,plain,
! [SV222: rObjec1617416918on_j_k,SV113: rObjec1617416918on_j_k > $o] :
( ( ( ! [SY871: product_unit,SY872: product_unit,SY873: list_char,SY874: option_element_ptr_a,SY875: list_n282880152tr_b_c,SY876: option2026120038on_j_k] : ( SV113 @ ( rObjec1303043984on_j_k @ SY871 @ ( rDocum427676485on_j_k @ SY872 @ SY873 @ SY874 @ SY875 @ SY876 ) ) ) )
= $false )
| ( ( SV113 @ SV222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1297,plain,
! [SV294: list_char,SV223: char,SV114: list_char] :
( ( ( SV114
!= ( cons_char @ SV223 @ SV294 ) )
= $true )
| ( ( SV114 != nil_char )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1298,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
| ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true )
| ( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1168]) ).
thf(1299,plain,
! [SV226: list_n282880152tr_b_c,SV117: list_n282880152tr_b_c > $o] :
( ( ( SV117 @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY882: node_p1234578834tr_b_c] : ( SV117 @ ( cons_n413985352tr_b_c @ SY882 @ nil_no279930520tr_b_c ) )
| ~ ! [SY883: node_p1234578834tr_b_c,SY884: node_p1234578834tr_b_c,SY885: list_n282880152tr_b_c] :
( ~ ( ( SY883 != SY884 )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ SY885 ) ) )
| ~ ( ~ ( ( SY883 != SY884 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) ) )
| ( SV117 @ SV226 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1300,plain,
! [SV118: list_list_char] :
( ( ( SV118 = nil_list_char )
= $true )
| ( ( ~ ! [SY886: list_list_char] :
( SV118
!= ( cons_list_char @ nil_char @ SY886 ) )
| ~ ! [SY887: char,SY888: list_char,SY889: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ SY887 @ SY888 ) @ SY889 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1301,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ( ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1302,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV120 )
!= ( size_s2106487044tr_b_c @ SV228 ) )
| ( ( size_s2106487044tr_b_c @ SV228 )
!= ( size_s2106487044tr_b_c @ SV295 ) )
| ~ ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY1530: node_p1234578834tr_b_c,SY1531: list_n282880152tr_b_c,SY1532: node_p1234578834tr_b_c,SY1533: list_n282880152tr_b_c,SY1534: node_p1234578834tr_b_c,SY1535: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1531 )
!= ( size_s2106487044tr_b_c @ SY1533 ) )
| ( ( size_s2106487044tr_b_c @ SY1533 )
!= ( size_s2106487044tr_b_c @ SY1535 ) )
| ~ ( SV325 @ SY1531 @ SY1533 @ SY1535 )
| ( SV325 @ ( cons_n413985352tr_b_c @ SY1530 @ SY1531 ) @ ( cons_n413985352tr_b_c @ SY1532 @ SY1533 ) @ ( cons_n413985352tr_b_c @ SY1534 @ SY1535 ) ) )
| ( SV325 @ SV120 @ SV228 @ SV295 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1303,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
| ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true )
| ( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1175]) ).
thf(1304,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ~ ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
| ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true )
| ( ( ~ ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1305,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ~ ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
| ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1179]) ).
thf(1306,plain,
! [SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ! [SY1536: list_char > list_char > list_char > list_char > $o] :
( ( ( size_size_list_char @ SV124 )
!= ( size_size_list_char @ SV232 ) )
| ( ( size_size_list_char @ SV232 )
!= ( size_size_list_char @ SV296 ) )
| ( ( size_size_list_char @ SV296 )
!= ( size_size_list_char @ SV326 ) )
| ~ ( SY1536 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SX5: char,SX6: list_char,SX7: char,SX8: list_char,SX9: char,SX10: list_char,SX11: char,SX12: list_char] :
( ( ( size_size_list_char @ SX6 )
!= ( size_size_list_char @ SX8 ) )
| ( ( size_size_list_char @ SX8 )
!= ( size_size_list_char @ SX10 ) )
| ( ( size_size_list_char @ SX10 )
!= ( size_size_list_char @ SX12 ) )
| ~ ( SY1536 @ SX6 @ SX8 @ SX10 @ SX12 )
| ( SY1536 @ ( cons_char @ SX5 @ SX6 ) @ ( cons_char @ SX7 @ SX8 ) @ ( cons_char @ SX9 @ SX10 ) @ ( cons_char @ SX11 @ SX12 ) ) )
| ( SY1536 @ SV124 @ SV232 @ SV296 @ SV326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1307,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= ( ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1308,plain,
! [SV234: sum_su1221287958on_j_k,SV126: option2026120038on_j_k] :
( ( ( SV126
= ( some_S1960742641on_j_k @ SV234 ) )
= $false )
| ( ( SV126 != none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1309,plain,
! [SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ! [SY1545: option2026120038on_j_k,SY1546: product_unit,SY1547: list_char,SY1548: option_element_ptr_a,SY1549: list_n282880152tr_b_c,SY1550: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SY1545 )
= ( rDocum427676485on_j_k @ SY1546 @ SY1547 @ SY1548 @ SY1549 @ SY1550 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SY1546 )
| ( SV235 != SY1547 ) )
| ( SV298 != SY1548 ) )
| ( SV328 != SY1549 ) )
| ( SY1545 != SY1550 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1310,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ~ ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
| ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1185]) ).
thf(1311,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= ( ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1185]) ).
thf(1312,plain,
! [SV237: list_n282880152tr_b_c > $o,SV129: list_n282880152tr_b_c] :
( ( ( SV129 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1254: node_p1234578834tr_b_c] : ( SV237 @ ( cons_n413985352tr_b_c @ SY1254 @ nil_no279930520tr_b_c ) )
| ~ ! [SY1255: node_p1234578834tr_b_c,SY1256: list_n282880152tr_b_c] :
( ~ ( ( SY1256 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1256 )
| ( SV237 @ ( cons_n413985352tr_b_c @ SY1255 @ SY1256 ) ) )
| ( SV237 @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1313,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 = none_S1393028981on_j_k ) )
= $false )
| ( ( ~ ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 != none_S1393028981on_j_k ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1314,plain,
! [SV238: element_ptr_a,SV131: option_element_ptr_a] :
( ( ( SV131
= ( some_element_ptr_a @ SV238 ) )
= $false )
| ( ( SV131 != none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1315,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1316,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ~ ( ( SV133 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) ) )
= $true )
| ( ( ~ ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
| ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1317,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ( SV134 @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY945: node_p1234578834tr_b_c,SY946: list_n282880152tr_b_c] :
( ~ ( SV134 @ SY946 )
| ( SV134 @ ( append846395565tr_b_c @ SY946 @ ( cons_n413985352tr_b_c @ SY945 @ nil_no279930520tr_b_c ) ) ) )
| ( SV134 @ SV241 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1318,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ~ ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
| ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1193]) ).
thf(1319,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= ( ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1193]) ).
thf(1320,plain,
! [SV137: list_char] :
( ( ( ( SV137 != nil_char )
| ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1321,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1195]) ).
thf(1322,plain,
! [SV303: list_char,SV244: char > char > $o,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ~ ! [SY958: char > char > $o] : ( SV139 @ SY958 @ nil_char ) )
= $true )
| ( ( ~ ! [SY959: char > char > $o,SY960: char] : ( SV139 @ SY959 @ ( cons_char @ SY960 @ nil_char ) )
| ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SV244 @ SV303 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1196]) ).
thf(1323,plain,
! [SV140: option_element_ptr_a] :
( ( ( ( SV140 != none_element_ptr_a )
| ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1324,plain,
! [SV245: option2026120038on_j_k,SV141: option2026120038on_j_k > $o] :
( ( ( SV141 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY967: sum_su1221287958on_j_k] : ( SV141 @ ( some_S1960742641on_j_k @ SY967 ) )
| ( SV141 @ SV245 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1325,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ( SV142 @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY969: node_p1234578834tr_b_c,SY970: list_n282880152tr_b_c] :
( ~ ( SV142 @ SY970 )
| ( SV142 @ ( cons_n413985352tr_b_c @ SY969 @ SY970 ) ) )
| ( SV142 @ SV246 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1326,plain,
! [SV247: list_char,SV143: list_char] :
( ( ( SV143 = SV247 )
= $false )
| ( ( SV143
= ( append_char @ nil_char @ SV247 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1327,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( SV144 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY972: node_p1234578834tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY972 @ nil_no279930520tr_b_c ) )
| ~ ! [SY973: node_p1234578834tr_b_c,SY974: node_p1234578834tr_b_c,SY975: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY973 @ ( cons_n413985352tr_b_c @ SY974 @ SY975 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1328,plain,
! [SV248: option_element_ptr_a,SV145: option_element_ptr_a > $o] :
( ( ( SV145 @ none_element_ptr_a )
= $false )
| ( ( ~ ! [SY977: element_ptr_a] : ( SV145 @ ( some_element_ptr_a @ SY977 ) )
| ( SV145 @ SV248 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1329,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ~ ( SV146 @ nil_no279930520tr_b_c @ nil_char ) )
= $true )
| ( ( ~ ! [SY980: node_p1234578834tr_b_c,SY981: list_n282880152tr_b_c] : ( SV146 @ ( cons_n413985352tr_b_c @ SY980 @ SY981 ) @ nil_char )
| ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) )
| ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1330,plain,
! [SV305: list_char > list_char > $o,SV250: list_char,SV147: list_char] :
( ( ( ( size_size_list_char @ SV147 )
!= ( size_size_list_char @ SV250 ) )
= $true )
| ( ( ~ ( SV305 @ nil_char @ nil_char )
| ~ ! [SY1484: char,SY1485: list_char,SY1486: char,SY1487: list_char] :
( ( ( size_size_list_char @ SY1485 )
!= ( size_size_list_char @ SY1487 ) )
| ~ ( SV305 @ SY1485 @ SY1487 )
| ( SV305 @ ( cons_char @ SY1484 @ SY1485 ) @ ( cons_char @ SY1486 @ SY1487 ) ) )
| ( SV305 @ SV147 @ SV250 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1331,plain,
! [SV148: option_element_ptr_a] :
( ( ( SV148 = none_element_ptr_a )
= $true )
| ( ( ~ ! [SY994: element_ptr_a] :
( SV148
!= ( some_element_ptr_a @ SY994 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1332,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ~ ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
| ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1206]) ).
thf(1333,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= ( ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1206]) ).
thf(1334,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1335,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( ( splice_char @ SV151 @ SV253 )
!= SV308 )
= $true )
| ( ( ~ ( ( SV151 != nil_char )
| ( SV308 != SV253 ) )
| ~ ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1336,plain,
! [SV152: option2026120038on_j_k] :
( ( ( SV152 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1006: sum_su1221287958on_j_k] :
( SV152
!= ( some_S1960742641on_j_k @ SY1006 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1337,plain,
! [SV254: rDocum326988203on_j_k,SV153: rDocum326988203on_j_k > $o] :
( ( ( ! [SY1008: product_unit,SY1009: list_char,SY1010: option_element_ptr_a,SY1011: list_n282880152tr_b_c,SY1012: option2026120038on_j_k] : ( SV153 @ ( rDocum427676485on_j_k @ SY1008 @ SY1009 @ SY1010 @ SY1011 @ SY1012 ) ) )
= $false )
| ( ( SV153 @ SV254 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1338,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ~ ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true )
| ( ( ~ ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1212]) ).
thf(1339,plain,
! [SV157: list_char] :
( ( ( SV157 = nil_char )
= $true )
| ( ( ~ ! [SY1015: char,SY1016: list_char] :
( SV157
!= ( cons_char @ SY1015 @ SY1016 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1214]) ).
thf(1340,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 = SV158 ) )
= $false )
| ( ( ~ ( ( ( cast_D1252964113_h_i_l @ SV1 )
!= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 != SV158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1341,plain,
! [SV309: rObjec1617416918on_j_k,SV159: docume1935157360tr_d_e] :
( ( ! [SV331: heap_S1465075775_j_k_l] :
( ( put_D_2126422573_h_i_l @ SV159 @ SV309 @ SV331 )
= ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ SV159 ) @ ( cast_D1252964113_h_i_l @ SV309 ) @ SV331 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1216]) ).
thf(1342,plain,
! [SV309: rObjec1617416918on_j_k,SV159: docume1935157360tr_d_e] :
( ( ( put_D_2126422573_h_i_l @ SV159 @ SV309 )
= ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ SV159 ) @ ( cast_D1252964113_h_i_l @ SV309 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1216]) ).
thf(1343,plain,
! [SV332: option_element_ptr_a,SV310: list_char,SV258: product_unit,SV160: product_unit,SV5: product_unit > product_unit] :
( ( ! [SY1553: list_n282880152tr_b_c,SY1554: option2026120038on_j_k] :
( ( nothin1105341917on_j_k @ SV5 @ ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ SV258 @ SV310 @ SV332 @ SY1553 @ SY1554 ) ) )
= ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ ( SV5 @ SV258 ) @ SV310 @ SV332 @ SY1553 @ SY1554 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1344,plain,
! [SV333: option_element_ptr_a,SV311: list_char,SV259: product_unit,SV161: product_unit,SV6: list_char > list_char] :
( ( ! [SY1555: list_n282880152tr_b_c,SY1556: option2026120038on_j_k] :
( ( doctyp68000440on_j_k @ SV6 @ ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ SV311 @ SV333 @ SY1555 @ SY1556 ) ) )
= ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ ( SV6 @ SV311 ) @ SV333 @ SY1555 @ SY1556 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1345,plain,
! [SV334: option_element_ptr_a,SV312: list_char,SV260: product_unit,SV162: product_unit,SV7: option_element_ptr_a > option_element_ptr_a] :
( ( ! [SY1557: list_n282880152tr_b_c,SY1558: option2026120038on_j_k] :
( ( docume244715269on_j_k @ SV7 @ ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SV312 @ SV334 @ SY1557 @ SY1558 ) ) )
= ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SV312 @ ( SV7 @ SV334 ) @ SY1557 @ SY1558 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1346,plain,
! [SV335: option_element_ptr_a,SV313: list_char,SV261: product_unit,SV163: product_unit,SV8: list_n282880152tr_b_c > list_n282880152tr_b_c] :
( ( ! [SY1559: list_n282880152tr_b_c,SY1560: option2026120038on_j_k] :
( ( discon442323090on_j_k @ SV8 @ ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SV313 @ SV335 @ SY1559 @ SY1560 ) ) )
= ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SV313 @ SV335 @ ( SV8 @ SY1559 ) @ SY1560 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1347,plain,
! [SV336: option_element_ptr_a,SV314: list_char,SV262: product_unit,SV165: product_unit,SV10: option2026120038on_j_k > option2026120038on_j_k] :
( ( ! [SY1561: list_n282880152tr_b_c,SY1562: option2026120038on_j_k] :
( ( more_u1044474223_c_a_b @ SV10 @ ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SV314 @ SV336 @ SY1561 @ SY1562 ) ) )
= ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SV314 @ SV336 @ SY1561 @ ( SV10 @ SY1562 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1348,plain,
! [SV337: list_n282880152tr_b_c,SV315: option_element_ptr_a,SV263: list_char,SV166: product_unit,SV11: product_unit] :
( ( ! [SY1563: option2026120038on_j_k] :
( ( more_c1453068134on_j_k @ ( rObjec1303043984on_j_k @ SV11 @ ( rDocum427676485on_j_k @ SV166 @ SV263 @ SV315 @ SV337 @ SY1563 ) ) )
= SY1563 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1349,plain,
! [SV338: list_n282880152tr_b_c,SV316: option_element_ptr_a,SV264: list_char,SV167: product_unit,SV12: product_unit] :
( ( ! [SY1564: option2026120038on_j_k] :
( ( discon866287741on_j_k @ ( rObjec1303043984on_j_k @ SV12 @ ( rDocum427676485on_j_k @ SV167 @ SV264 @ SV316 @ SV338 @ SY1564 ) ) )
= SV338 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1350,plain,
! [SV339: list_n282880152tr_b_c,SV317: option_element_ptr_a,SV265: list_char,SV168: product_unit,SV13: product_unit] :
( ( ! [SY1565: option2026120038on_j_k] :
( ( docume1175131570on_j_k @ ( rObjec1303043984on_j_k @ SV13 @ ( rDocum427676485on_j_k @ SV168 @ SV265 @ SV317 @ SV339 @ SY1565 ) ) )
= SV317 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1351,plain,
! [SV340: list_n282880152tr_b_c,SV318: option_element_ptr_a,SV266: list_char,SV169: product_unit,SV14: product_unit] :
( ( ! [SY1566: option2026120038on_j_k] :
( ( doctyp814403297on_j_k @ ( rObjec1303043984on_j_k @ SV14 @ ( rDocum427676485on_j_k @ SV169 @ SV266 @ SV318 @ SV340 @ SY1566 ) ) )
= SV266 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1352,plain,
! [SV341: list_n282880152tr_b_c,SV319: option_element_ptr_a,SV267: list_char,SV170: product_unit,SV15: product_unit] :
( ( ! [SY1567: option2026120038on_j_k] :
( ( nothin757132294on_j_k @ ( rObjec1303043984on_j_k @ SV15 @ ( rDocum427676485on_j_k @ SV170 @ SV267 @ SV319 @ SV341 @ SY1567 ) ) )
= SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1353,plain,
! [SV16: list_char] :
( ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= $false )
| ( ( ~ ( ( ( size_size_list_char @ SV16 )
!= zero_zero_nat )
| ( SV16 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1354,plain,
! [SV16: list_char] :
( ( ( SV16 = nil_char )
= $false )
| ( ( ~ ( ( ( size_size_list_char @ SV16 )
!= zero_zero_nat )
| ( SV16 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1355,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= $false )
| ( ( ~ ( ( ( size_s2106487044tr_b_c @ SV17 )
!= zero_zero_nat )
| ( SV17 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1356,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( SV17 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( ( size_s2106487044tr_b_c @ SV17 )
!= zero_zero_nat )
| ( SV17 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1357,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 ) )
= $false )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV27 )
!= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
!= SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1358,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
| ( SV173 = nil_char ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV46 @ SV173 )
!= SV46 )
| ( SV173 != nil_char ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1359,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
| ( SV174 = nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
!= SV47 )
| ( SV174 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1360,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
| ( SV175 = nil_char ) )
= $false )
| ( ( ~ ( ( SV48
!= ( append_char @ SV48 @ SV175 ) )
| ( SV175 != nil_char ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1361,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 = nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ( ( SV49
!= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1362,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
| ( SV50 = nil_char ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV50 @ SV177 )
!= SV177 )
| ( SV50 != nil_char ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1363,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
| ( SV51 = nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
!= SV178 )
| ( SV51 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1364,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
| ( SV179 = nil_char ) )
= $false )
| ( ( ~ ( ( SV52
!= ( append_char @ SV179 @ SV52 ) )
| ( SV179 != nil_char ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1365,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 = nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ( ( SV53
!= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1366,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false )
| ( ( ~ ( ( SV60 != nil_no279930520tr_b_c )
| ( SV268 != SV181 ) )
| ~ ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1367,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( SV61 @ nil_char @ nil_char )
= $false )
| ( ( ~ ! [SY663: char,SY664: list_char] : ( SV61 @ ( cons_char @ SY663 @ SY664 ) @ nil_char )
| ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) )
| ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1368,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY673: char,SY674: list_char] : ( SV62 @ ( cons_char @ SY673 @ SY674 ) @ nil_no279930520tr_b_c )
| ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) )
| ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1369,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ( is_doc1417632087_j_k_l @ SV184 )
| ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) )
= $false )
| ( ( ~ ( ~ ( is_doc1417632087_j_k_l @ SV184 )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1370,plain,
! [SV185: list_n282880152tr_b_c > $o,SV64: list_n282880152tr_b_c] :
( ( ( SV64 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY1084: node_p1234578834tr_b_c] : ( SV185 @ ( cons_n413985352tr_b_c @ SY1084 @ nil_no279930520tr_b_c ) )
| ~ ! [SY1085: node_p1234578834tr_b_c,SY1086: list_n282880152tr_b_c] :
( ~ ( ( SY1086 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1086 )
| ( SV185 @ ( append846395565tr_b_c @ SY1086 @ ( cons_n413985352tr_b_c @ SY1085 @ nil_no279930520tr_b_c ) ) ) )
| ( SV185 @ SV64 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1371,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) )
| ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1243]) ).
thf(1372,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= ( ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1243]) ).
thf(1373,plain,
! [SV272: list_char,SV187: list_char,SV66: list_char > list_char > $o] :
( ( ( ! [SY690: list_char] : ( SV66 @ nil_char @ SY690 ) )
= $false )
| ( ( ~ ! [SY691: char,SY692: list_char,SY693: list_char] :
( ~ ( SV66 @ SY693 @ SY692 )
| ( SV66 @ ( cons_char @ SY691 @ SY692 ) @ SY693 ) )
| ( SV66 @ SV187 @ SV272 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1374,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY695: node_p1234578834tr_b_c] : ( SV67 @ ( cons_n413985352tr_b_c @ SY695 @ nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY696: node_p1234578834tr_b_c,SY697: node_p1234578834tr_b_c,SY698: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY698 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ SY696 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) ) ) )
| ( SV67 @ SV188 ) )
= $true )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1245]) ).
thf(1375,plain,
! [SV273: list_n282880152tr_b_c,SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY701: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV68 @ SY701 @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY702: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY703: node_p1234578834tr_b_c] : ( SV68 @ SY702 @ ( cons_n413985352tr_b_c @ SY703 @ nil_no279930520tr_b_c ) )
| ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SV189 @ SV273 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1376,plain,
! [SV190: list_char > $o,SV69: list_char] :
( ( ( SV69 = nil_char )
= $true )
| ( ( ~ ! [SY1106: char] : ( SV190 @ ( cons_char @ SY1106 @ nil_char ) )
| ~ ! [SY1107: char,SY1108: list_char] :
( ~ ( ( SY1108 != nil_char ) )
| ~ ( SV190 @ SY1108 )
| ( SV190 @ ( cons_char @ SY1107 @ SY1108 ) ) )
| ( SV190 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1377,plain,
! [SV70: list_char] :
( ( ( ! [SY712: list_char,SY713: char] :
( SV70
!= ( append_char @ SY712 @ ( cons_char @ SY713 @ nil_char ) ) ) )
= $false )
| ( ( SV70 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1378,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ( SV71 != none_S1393028981on_j_k )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( ~ ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) )
| ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1379,plain,
! [SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false )
| ( ( ~ ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY1375: node_p1234578834tr_b_c,SY1376: list_n282880152tr_b_c,SY1377: node_p1234578834tr_b_c,SY1378: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1376 )
!= ( size_s2106487044tr_b_c @ SY1378 ) )
| ~ ( SV275 @ SY1376 @ SY1378 )
| ( SV275 @ ( cons_n413985352tr_b_c @ SY1375 @ SY1376 ) @ ( cons_n413985352tr_b_c @ SY1377 @ SY1378 ) ) )
| ( SV275 @ SV72 @ SV192 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1380,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1251]) ).
thf(1381,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ( ~ ! [SY728: char,SY729: list_char] :
( ~ ( SV74 @ SY729 )
| ( SV74 @ ( append_char @ SY729 @ ( cons_char @ SY728 @ nil_char ) ) ) ) )
= $true )
| ( ( SV74 @ SV194 )
= $true )
| ( ( SV74 @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1382,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1254]) ).
thf(1383,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ( SV76 != none_element_ptr_a )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( ~ ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) )
| ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1384,plain,
! [SV279: list_n282880152tr_b_c,SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY739: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o] : ( SV77 @ SY739 @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY740: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY741: node_p1234578834tr_b_c,SY742: list_n282880152tr_b_c] :
( ~ ( SV77 @ SY740 @ SY742 )
| ( SV77 @ SY740 @ ( cons_n413985352tr_b_c @ SY741 @ SY742 ) ) )
| ( SV77 @ SV197 @ SV279 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1385,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1386,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $false )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1387,plain,
! [SV280: list_char,SV198: char > char > $o,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY746: char > char > $o] : ( SV79 @ SY746 @ nil_char ) )
= $false )
| ( ( ~ ! [SY747: char > char > $o,SY748: char,SY749: list_char] :
( ~ ( SV79 @ SY747 @ SY749 )
| ( SV79 @ SY747 @ ( cons_char @ SY748 @ SY749 ) ) )
| ( SV79 @ SV198 @ SV280 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1388,plain,
! [SV80: rObjec1617416918on_j_k] :
( ( ! [SY1568: option_element_ptr_a,SY1569: list_n282880152tr_b_c,SY1570: option2026120038on_j_k] :
( SV80
!= ( rObjec1303043984on_j_k @ ( sK1_SY750 @ SV80 ) @ ( rDocum427676485on_j_k @ ( sK4_SY1391 @ SV80 ) @ ( sK6_SY1518 @ SV80 ) @ SY1568 @ SY1569 @ SY1570 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1260]) ).
thf(1389,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ! [SY758: list_char] : ( SV81 @ nil_char @ SY758 ) )
= $false )
| ( ( ~ ! [SY759: list_char] : ( SV81 @ SY759 @ nil_char )
| ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) )
| ( SV81 @ SV199 @ SV281 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1390,plain,
! [SV200: list_char,SV82: list_char > $o] :
( ( ( ~ ! [SY765: char] : ( SV82 @ ( cons_char @ SY765 @ nil_char ) ) )
= $true )
| ( ( ~ ! [SY766: char,SY767: char,SY768: list_char] :
( ~ ( ( SY766 != SY767 )
| ( SV82 @ ( cons_char @ SY766 @ SY768 ) ) )
| ~ ( ~ ( ( SY766 != SY767 ) )
| ( SV82 @ ( cons_char @ SY767 @ SY768 ) ) )
| ( SV82 @ ( cons_char @ SY766 @ ( cons_char @ SY767 @ SY768 ) ) ) )
| ( SV82 @ SV200 ) )
= $true )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1262]) ).
thf(1391,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
| ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1392,plain,
! [SV84: rObjec1617416918on_j_k] :
( ( SV84
= ( rObjec1303043984on_j_k @ ( sK2_SY770 @ SV84 ) @ ( sK5_SY1402 @ SV84 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1393,plain,
! [SV85: list_n282880152tr_b_c] :
( ( ( ! [SY772: node_p1234578834tr_b_c,SY773: list_n282880152tr_b_c] :
( SV85
!= ( cons_n413985352tr_b_c @ SY772 @ SY773 ) ) )
= $false )
| ( ( SV85 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1394,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1266]) ).
thf(1395,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1268]) ).
thf(1396,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) )
| ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1270]) ).
thf(1397,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= ( ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1270]) ).
thf(1398,plain,
! [SV285: list_n282880152tr_b_c,SV205: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY785: list_n282880152tr_b_c] : ( SV89 @ nil_no279930520tr_b_c @ SY785 ) )
= $false )
| ( ( ~ ! [SY786: node_p1234578834tr_b_c,SY787: list_n282880152tr_b_c,SY788: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY788 @ SY787 )
| ( SV89 @ ( cons_n413985352tr_b_c @ SY786 @ SY787 ) @ SY788 ) )
| ( SV89 @ SV205 @ SV285 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1399,plain,
! [SV206: rObjec103300152t_unit,SV90: rObjec103300152t_unit > $o] :
( ( ( SV90 @ ( rObjec730108904t_unit @ ( sK7_SY790 @ SV206 @ SV90 ) @ product_Unity ) )
= $false )
| ( ( SV90 @ SV206 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1272]) ).
thf(1400,plain,
! [SV92: option_element_ptr_a] :
( ( ( ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 != none_element_ptr_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1401,plain,
! [SV92: option_element_ptr_a] :
( ( ( SV92 = none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 != none_element_ptr_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1402,plain,
! [SV207: list_char > $o,SV93: list_char] :
( ( ( SV93 = nil_char )
= $true )
| ( ( ~ ! [SY1159: char] : ( SV207 @ ( cons_char @ SY1159 @ nil_char ) )
| ~ ! [SY1160: char,SY1161: list_char] :
( ~ ( ( SY1161 != nil_char ) )
| ~ ( SV207 @ SY1161 )
| ( SV207 @ ( append_char @ SY1161 @ ( cons_char @ SY1160 @ nil_char ) ) ) )
| ( SV207 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1403,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
| ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
| ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1277]) ).
thf(1404,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1277]) ).
thf(1405,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ( ~ ! [SY803: char,SY804: list_char] :
( ~ ( SV96 @ SY804 )
| ( SV96 @ ( cons_char @ SY803 @ SY804 ) ) ) )
= $true )
| ( ( SV96 @ SV210 )
= $true )
| ( ( SV96 @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1278]) ).
thf(1406,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
| ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1279]) ).
thf(1407,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1279]) ).
thf(1408,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ( SV98 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( ~ ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
| ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1409,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1410,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( ~ ! [SY816: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ SY816 ) ) )
= $true )
| ( ( ~ ! [SY817: node_p1234578834tr_b_c,SY818: list_n282880152tr_b_c,SY819: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SY817 @ SY818 ) @ SY819 ) ) )
= $true )
| ( ( SV100 = nil_li198338206tr_b_c )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1283]) ).
thf(1411,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( SV101 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1412,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1413,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ~ ! [SY823: char] : ( SV102 @ ( cons_char @ SY823 @ nil_char ) ) )
= $true )
| ( ( ~ ! [SY824: char,SY825: char,SY826: list_char] :
( ~ ( SV102 @ SY826 )
| ~ ( SV102 @ ( cons_char @ SY825 @ SY826 ) )
| ( SV102 @ ( cons_char @ SY824 @ ( cons_char @ SY825 @ SY826 ) ) ) )
| ( SV102 @ SV214 ) )
= $true )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1285]) ).
thf(1414,plain,
! [SV290: list_n282880152tr_b_c,SV215: node_p1234578834tr_b_c,SV103: list_n282880152tr_b_c] :
( ( ( SV103
= ( cons_n413985352tr_b_c @ SV215 @ SV290 ) )
= $false )
| ( ( SV103 != nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1415,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1416,plain,
! [SV105: option2026120038on_j_k] :
( ( ( SV105 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1417,plain,
! [SV105: option2026120038on_j_k] :
( ( ( ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1418,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ( size_size_list_char @ SV106 )
!= ( size_size_list_char @ SV217 ) )
= $true )
| ( ( ( ( size_size_list_char @ SV217 )
!= ( size_size_list_char @ SV291 ) )
| ~ ( SV324 @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1524: char,SY1525: list_char,SY1526: char,SY1527: list_char,SY1528: char,SY1529: list_char] :
( ( ( size_size_list_char @ SY1525 )
!= ( size_size_list_char @ SY1527 ) )
| ( ( size_size_list_char @ SY1527 )
!= ( size_size_list_char @ SY1529 ) )
| ~ ( SV324 @ SY1525 @ SY1527 @ SY1529 )
| ( SV324 @ ( cons_char @ SY1524 @ SY1525 ) @ ( cons_char @ SY1526 @ SY1527 ) @ ( cons_char @ SY1528 @ SY1529 ) ) )
| ( SV324 @ SV106 @ SV217 @ SV291 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1289]) ).
thf(1419,plain,
! [SV218: rObjec1617416918on_j_k,SV107: rObjec1617416918on_j_k > $o] :
( ( ( ! [SY1571: rDocum326988203on_j_k] : ( SV107 @ ( rObjec1303043984on_j_k @ ( sK8_SY842 @ SV218 @ SV107 ) @ SY1571 ) ) )
= $false )
| ( ( SV107 @ SV218 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1290]) ).
thf(1420,plain,
! [SV108: list_char] :
( ( ( ~ ! [SY844: char] :
( SV108
!= ( cons_char @ SY844 @ nil_char ) ) )
= $true )
| ( ( ~ ! [SY845: char,SY846: char,SY847: list_char] :
( SV108
!= ( cons_char @ SY845 @ ( cons_char @ SY846 @ SY847 ) ) ) )
= $true )
| ( ( SV108 = nil_char )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1421,plain,
! [SV109: list_n282880152tr_b_c] :
( ( ( ! [SY848: list_n282880152tr_b_c,SY849: node_p1234578834tr_b_c] :
( SV109
!= ( append846395565tr_b_c @ SY848 @ ( cons_n413985352tr_b_c @ SY849 @ nil_no279930520tr_b_c ) ) ) )
= $false )
| ( ( SV109 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1422,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY852: list_n282880152tr_b_c] : ( SV110 @ nil_no279930520tr_b_c @ SY852 ) )
= $false )
| ( ( ~ ! [SY853: list_n282880152tr_b_c] : ( SV110 @ SY853 @ nil_no279930520tr_b_c )
| ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) )
| ( SV110 @ SV219 @ SV292 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1423,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY860: node_p1234578834tr_b_c,SY861: list_n282880152tr_b_c] : ( SV111 @ ( cons_n413985352tr_b_c @ SY860 @ SY861 ) @ nil_no279930520tr_b_c )
| ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) )
| ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1424,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1425,plain,
! [SV222: rObjec1617416918on_j_k,SV113: rObjec1617416918on_j_k > $o] :
( ( ( ! [SY1572: product_unit,SY1573: list_char,SY1574: option_element_ptr_a,SY1575: list_n282880152tr_b_c,SY1576: option2026120038on_j_k] : ( SV113 @ ( rObjec1303043984on_j_k @ ( sK9_SY871 @ SV222 @ SV113 ) @ ( rDocum427676485on_j_k @ SY1572 @ SY1573 @ SY1574 @ SY1575 @ SY1576 ) ) ) )
= $false )
| ( ( SV113 @ SV222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1296]) ).
thf(1426,plain,
! [SV294: list_char,SV223: char,SV114: list_char] :
( ( ( SV114
= ( cons_char @ SV223 @ SV294 ) )
= $false )
| ( ( SV114 != nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1427,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
| ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1298]) ).
thf(1428,plain,
! [SV226: list_n282880152tr_b_c,SV117: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY882: node_p1234578834tr_b_c] : ( SV117 @ ( cons_n413985352tr_b_c @ SY882 @ nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY883: node_p1234578834tr_b_c,SY884: node_p1234578834tr_b_c,SY885: list_n282880152tr_b_c] :
( ~ ( ( SY883 != SY884 )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ SY885 ) ) )
| ~ ( ~ ( ( SY883 != SY884 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) ) )
| ( SV117 @ SV226 ) )
= $true )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1299]) ).
thf(1429,plain,
! [SV118: list_list_char] :
( ( ( ~ ! [SY886: list_list_char] :
( SV118
!= ( cons_list_char @ nil_char @ SY886 ) ) )
= $true )
| ( ( ~ ! [SY887: char,SY888: list_char,SY889: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ SY887 @ SY888 ) @ SY889 ) ) )
= $true )
| ( ( SV118 = nil_list_char )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1300]) ).
thf(1430,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1301]) ).
thf(1431,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV120 )
!= ( size_s2106487044tr_b_c @ SV228 ) )
= $true )
| ( ( ( ( size_s2106487044tr_b_c @ SV228 )
!= ( size_s2106487044tr_b_c @ SV295 ) )
| ~ ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY1530: node_p1234578834tr_b_c,SY1531: list_n282880152tr_b_c,SY1532: node_p1234578834tr_b_c,SY1533: list_n282880152tr_b_c,SY1534: node_p1234578834tr_b_c,SY1535: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1531 )
!= ( size_s2106487044tr_b_c @ SY1533 ) )
| ( ( size_s2106487044tr_b_c @ SY1533 )
!= ( size_s2106487044tr_b_c @ SY1535 ) )
| ~ ( SV325 @ SY1531 @ SY1533 @ SY1535 )
| ( SV325 @ ( cons_n413985352tr_b_c @ SY1530 @ SY1531 ) @ ( cons_n413985352tr_b_c @ SY1532 @ SY1533 ) @ ( cons_n413985352tr_b_c @ SY1534 @ SY1535 ) ) )
| ( SV325 @ SV120 @ SV228 @ SV295 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1302]) ).
thf(1432,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
| ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) )
= $false )
| ( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1433,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
| ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) )
= $false )
| ( ( ~ ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1434,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
| ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1435,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ( size_size_list_char @ SV124 )
!= ( size_size_list_char @ SV232 ) )
| ( ( size_size_list_char @ SV232 )
!= ( size_size_list_char @ SV296 ) )
| ( ( size_size_list_char @ SV296 )
!= ( size_size_list_char @ SV326 ) )
| ~ ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) )
| ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1436,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) )
| ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1307]) ).
thf(1437,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= ( ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1307]) ).
thf(1438,plain,
! [SV234: sum_su1221287958on_j_k,SV126: option2026120038on_j_k] :
( ( ( SV126 = none_S1393028981on_j_k )
= $false )
| ( ( SV126
= ( some_S1960742641on_j_k @ SV234 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1439,plain,
! [SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ! [SY1585: product_unit,SY1586: list_char,SY1587: option_element_ptr_a,SY1588: list_n282880152tr_b_c,SY1589: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SY1585 @ SY1586 @ SY1587 @ SY1588 @ SY1589 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SY1585 )
| ( SV235 != SY1586 ) )
| ( SV298 != SY1587 ) )
| ( SV328 != SY1588 ) )
| ( SV343 != SY1589 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1309]) ).
thf(1440,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1310]) ).
thf(1441,plain,
! [SV237: list_n282880152tr_b_c > $o,SV129: list_n282880152tr_b_c] :
( ( ( SV129 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY1254: node_p1234578834tr_b_c] : ( SV237 @ ( cons_n413985352tr_b_c @ SY1254 @ nil_no279930520tr_b_c ) )
| ~ ! [SY1255: node_p1234578834tr_b_c,SY1256: list_n282880152tr_b_c] :
( ~ ( ( SY1256 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1256 )
| ( SV237 @ ( cons_n413985352tr_b_c @ SY1255 @ SY1256 ) ) )
| ( SV237 @ SV129 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1442,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 != none_S1393028981on_j_k ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1443,plain,
! [SV130: option2026120038on_j_k] :
( ( ( SV130 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 != none_S1393028981on_j_k ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1444,plain,
! [SV238: element_ptr_a,SV131: option_element_ptr_a] :
( ( ( SV131 = none_element_ptr_a )
= $false )
| ( ( SV131
= ( some_element_ptr_a @ SV238 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1445,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1446,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ( SV133 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( ~ ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
| ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1316]) ).
thf(1447,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY945: node_p1234578834tr_b_c,SY946: list_n282880152tr_b_c] :
( ~ ( SV134 @ SY946 )
| ( SV134 @ ( append846395565tr_b_c @ SY946 @ ( cons_n413985352tr_b_c @ SY945 @ nil_no279930520tr_b_c ) ) ) ) )
= $true )
| ( ( SV134 @ SV241 )
= $true )
| ( ( SV134 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1317]) ).
thf(1448,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1318]) ).
thf(1449,plain,
! [SV137: list_char] :
( ( ( SV137 != nil_char )
= $false )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1450,plain,
! [SV137: list_char] :
( ( ( ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1451,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ~ ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
| ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1452,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1453,plain,
! [SV303: list_char,SV244: char > char > $o,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY958: char > char > $o] : ( SV139 @ SY958 @ nil_char ) )
= $false )
| ( ( ~ ! [SY959: char > char > $o,SY960: char] : ( SV139 @ SY959 @ ( cons_char @ SY960 @ nil_char ) )
| ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SV244 @ SV303 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1454,plain,
! [SV140: option_element_ptr_a] :
( ( ( SV140 != none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1455,plain,
! [SV140: option_element_ptr_a] :
( ( ( ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1456,plain,
! [SV245: option2026120038on_j_k,SV141: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY967: sum_su1221287958on_j_k] : ( SV141 @ ( some_S1960742641on_j_k @ SY967 ) ) )
= $true )
| ( ( SV141 @ SV245 )
= $true )
| ( ( SV141 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1324]) ).
thf(1457,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY969: node_p1234578834tr_b_c,SY970: list_n282880152tr_b_c] :
( ~ ( SV142 @ SY970 )
| ( SV142 @ ( cons_n413985352tr_b_c @ SY969 @ SY970 ) ) ) )
= $true )
| ( ( SV142 @ SV246 )
= $true )
| ( ( SV142 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1458,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( ~ ! [SY972: node_p1234578834tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY972 @ nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY973: node_p1234578834tr_b_c,SY974: node_p1234578834tr_b_c,SY975: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY973 @ ( cons_n413985352tr_b_c @ SY974 @ SY975 ) ) ) )
= $true )
| ( ( SV144 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1327]) ).
thf(1459,plain,
! [SV248: option_element_ptr_a,SV145: option_element_ptr_a > $o] :
( ( ( ~ ! [SY977: element_ptr_a] : ( SV145 @ ( some_element_ptr_a @ SY977 ) ) )
= $true )
| ( ( SV145 @ SV248 )
= $true )
| ( ( SV145 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1460,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false )
| ( ( ~ ! [SY980: node_p1234578834tr_b_c,SY981: list_n282880152tr_b_c] : ( SV146 @ ( cons_n413985352tr_b_c @ SY980 @ SY981 ) @ nil_char )
| ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) )
| ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1461,plain,
! [SV305: list_char > list_char > $o,SV250: list_char,SV147: list_char] :
( ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false )
| ( ( ~ ( SV305 @ nil_char @ nil_char )
| ~ ! [SY1484: char,SY1485: list_char,SY1486: char,SY1487: list_char] :
( ( ( size_size_list_char @ SY1485 )
!= ( size_size_list_char @ SY1487 ) )
| ~ ( SV305 @ SY1485 @ SY1487 )
| ( SV305 @ ( cons_char @ SY1484 @ SY1485 ) @ ( cons_char @ SY1486 @ SY1487 ) ) )
| ( SV305 @ SV147 @ SV250 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1462,plain,
! [SV148: option_element_ptr_a] :
( ( ( ! [SY994: element_ptr_a] :
( SV148
!= ( some_element_ptr_a @ SY994 ) ) )
= $false )
| ( ( SV148 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1463,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1464,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
| ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1334]) ).
thf(1465,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1334]) ).
thf(1466,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false )
| ( ( ~ ( ( SV151 != nil_char )
| ( SV308 != SV253 ) )
| ~ ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1467,plain,
! [SV152: option2026120038on_j_k] :
( ( ( ! [SY1006: sum_su1221287958on_j_k] :
( SV152
!= ( some_S1960742641on_j_k @ SY1006 ) ) )
= $false )
| ( ( SV152 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1336]) ).
thf(1468,plain,
! [SV254: rDocum326988203on_j_k,SV153: rDocum326988203on_j_k > $o] :
( ( ( ! [SY1590: list_char,SY1591: option_element_ptr_a,SY1592: list_n282880152tr_b_c,SY1593: option2026120038on_j_k] : ( SV153 @ ( rDocum427676485on_j_k @ ( sK10_SY1008 @ SV254 @ SV153 ) @ SY1590 @ SY1591 @ SY1592 @ SY1593 ) ) )
= $false )
| ( ( SV153 @ SV254 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1337]) ).
thf(1469,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1470,plain,
! [SV157: list_char] :
( ( ( ! [SY1015: char,SY1016: list_char] :
( SV157
!= ( cons_char @ SY1015 @ SY1016 ) ) )
= $false )
| ( ( SV157 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1471,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= $false )
| ( ( ~ ( ( ( cast_D1252964113_h_i_l @ SV1 )
!= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 != SV158 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1472,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( SV1 = SV158 )
= $false )
| ( ( ~ ( ( ( cast_D1252964113_h_i_l @ SV1 )
!= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 != SV158 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1473,plain,
! [SV344: heap_S1465075775_j_k_l,SV309: rObjec1617416918on_j_k,SV159: docume1935157360tr_d_e] :
( ( ( put_D_2126422573_h_i_l @ SV159 @ SV309 @ SV344 )
= ( put_O_834343516_j_k_l @ ( cast_d1608273229_b_c_f @ SV159 ) @ ( cast_D1252964113_h_i_l @ SV309 ) @ SV344 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1474,plain,
! [SV345: list_n282880152tr_b_c,SV332: option_element_ptr_a,SV310: list_char,SV258: product_unit,SV160: product_unit,SV5: product_unit > product_unit] :
( ( ! [SY1594: option2026120038on_j_k] :
( ( nothin1105341917on_j_k @ SV5 @ ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ SV258 @ SV310 @ SV332 @ SV345 @ SY1594 ) ) )
= ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ ( SV5 @ SV258 ) @ SV310 @ SV332 @ SV345 @ SY1594 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1475,plain,
! [SV346: list_n282880152tr_b_c,SV333: option_element_ptr_a,SV311: list_char,SV259: product_unit,SV161: product_unit,SV6: list_char > list_char] :
( ( ! [SY1595: option2026120038on_j_k] :
( ( doctyp68000440on_j_k @ SV6 @ ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ SV311 @ SV333 @ SV346 @ SY1595 ) ) )
= ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ ( SV6 @ SV311 ) @ SV333 @ SV346 @ SY1595 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1476,plain,
! [SV347: list_n282880152tr_b_c,SV334: option_element_ptr_a,SV312: list_char,SV260: product_unit,SV162: product_unit,SV7: option_element_ptr_a > option_element_ptr_a] :
( ( ! [SY1596: option2026120038on_j_k] :
( ( docume244715269on_j_k @ SV7 @ ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SV312 @ SV334 @ SV347 @ SY1596 ) ) )
= ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SV312 @ ( SV7 @ SV334 ) @ SV347 @ SY1596 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1477,plain,
! [SV348: list_n282880152tr_b_c,SV335: option_element_ptr_a,SV313: list_char,SV261: product_unit,SV163: product_unit,SV8: list_n282880152tr_b_c > list_n282880152tr_b_c] :
( ( ! [SY1597: option2026120038on_j_k] :
( ( discon442323090on_j_k @ SV8 @ ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SV313 @ SV335 @ SV348 @ SY1597 ) ) )
= ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SV313 @ SV335 @ ( SV8 @ SV348 ) @ SY1597 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1478,plain,
! [SV349: list_n282880152tr_b_c,SV336: option_element_ptr_a,SV314: list_char,SV262: product_unit,SV165: product_unit,SV10: option2026120038on_j_k > option2026120038on_j_k] :
( ( ! [SY1598: option2026120038on_j_k] :
( ( more_u1044474223_c_a_b @ SV10 @ ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SV314 @ SV336 @ SV349 @ SY1598 ) ) )
= ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SV314 @ SV336 @ SV349 @ ( SV10 @ SY1598 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1479,plain,
! [SV350: option2026120038on_j_k,SV337: list_n282880152tr_b_c,SV315: option_element_ptr_a,SV263: list_char,SV166: product_unit,SV11: product_unit] :
( ( ( more_c1453068134on_j_k @ ( rObjec1303043984on_j_k @ SV11 @ ( rDocum427676485on_j_k @ SV166 @ SV263 @ SV315 @ SV337 @ SV350 ) ) )
= SV350 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1480,plain,
! [SV351: option2026120038on_j_k,SV338: list_n282880152tr_b_c,SV316: option_element_ptr_a,SV264: list_char,SV167: product_unit,SV12: product_unit] :
( ( ( discon866287741on_j_k @ ( rObjec1303043984on_j_k @ SV12 @ ( rDocum427676485on_j_k @ SV167 @ SV264 @ SV316 @ SV338 @ SV351 ) ) )
= SV338 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1481,plain,
! [SV352: option2026120038on_j_k,SV339: list_n282880152tr_b_c,SV317: option_element_ptr_a,SV265: list_char,SV168: product_unit,SV13: product_unit] :
( ( ( docume1175131570on_j_k @ ( rObjec1303043984on_j_k @ SV13 @ ( rDocum427676485on_j_k @ SV168 @ SV265 @ SV317 @ SV339 @ SV352 ) ) )
= SV317 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1482,plain,
! [SV353: option2026120038on_j_k,SV340: list_n282880152tr_b_c,SV318: option_element_ptr_a,SV266: list_char,SV169: product_unit,SV14: product_unit] :
( ( ( doctyp814403297on_j_k @ ( rObjec1303043984on_j_k @ SV14 @ ( rDocum427676485on_j_k @ SV169 @ SV266 @ SV318 @ SV340 @ SV353 ) ) )
= SV266 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1483,plain,
! [SV354: option2026120038on_j_k,SV341: list_n282880152tr_b_c,SV319: option_element_ptr_a,SV267: list_char,SV170: product_unit,SV15: product_unit] :
( ( ( nothin757132294on_j_k @ ( rObjec1303043984on_j_k @ SV15 @ ( rDocum427676485on_j_k @ SV170 @ SV267 @ SV319 @ SV341 @ SV354 ) ) )
= SV170 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1484,plain,
! [SV16: list_char] :
( ( ( ( ( size_size_list_char @ SV16 )
!= zero_zero_nat )
| ( SV16 != nil_char ) )
= $false )
| ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1353]) ).
thf(1485,plain,
! [SV16: list_char] :
( ( ( ( ( size_size_list_char @ SV16 )
!= zero_zero_nat )
| ( SV16 != nil_char ) )
= $false )
| ( ( SV16 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1486,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( ( size_s2106487044tr_b_c @ SV17 )
!= zero_zero_nat )
| ( SV17 != nil_no279930520tr_b_c ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1487,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( ( size_s2106487044tr_b_c @ SV17 )
!= zero_zero_nat )
| ( SV17 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV17 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1488,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= $false )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV27 )
!= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
!= SV27 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1489,plain,
! [SV27: rObjec1413572695_j_k_l,SV172: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 )
= $false )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV27 )
!= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
!= SV27 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1490,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= $false )
| ( ( ~ ( ( ( append_char @ SV46 @ SV173 )
!= SV46 )
| ( SV173 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1491,plain,
! [SV46: list_char,SV173: list_char] :
( ( ( SV173 = nil_char )
= $false )
| ( ( ~ ( ( ( append_char @ SV46 @ SV173 )
!= SV46 )
| ( SV173 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1492,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
!= SV47 )
| ( SV174 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1493,plain,
! [SV47: list_n282880152tr_b_c,SV174: list_n282880152tr_b_c] :
( ( ( SV174 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
!= SV47 )
| ( SV174 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1494,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= $false )
| ( ( ~ ( ( SV48
!= ( append_char @ SV48 @ SV175 ) )
| ( SV175 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1495,plain,
! [SV48: list_char,SV175: list_char] :
( ( ( SV175 = nil_char )
= $false )
| ( ( ~ ( ( SV48
!= ( append_char @ SV48 @ SV175 ) )
| ( SV175 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1496,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $false )
| ( ( ~ ( ( SV49
!= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1361]) ).
thf(1497,plain,
! [SV49: list_n282880152tr_b_c,SV176: list_n282880152tr_b_c] :
( ( ( SV176 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( SV49
!= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1361]) ).
thf(1498,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= $false )
| ( ( ~ ( ( ( append_char @ SV50 @ SV177 )
!= SV177 )
| ( SV50 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1499,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( SV50 = nil_char )
= $false )
| ( ( ~ ( ( ( append_char @ SV50 @ SV177 )
!= SV177 )
| ( SV50 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1500,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
!= SV178 )
| ( SV51 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1501,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( SV51 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
!= SV178 )
| ( SV51 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1502,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= $false )
| ( ( ~ ( ( SV52
!= ( append_char @ SV179 @ SV52 ) )
| ( SV179 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1364]) ).
thf(1503,plain,
! [SV52: list_char,SV179: list_char] :
( ( ( SV179 = nil_char )
= $false )
| ( ( ~ ( ( SV52
!= ( append_char @ SV179 @ SV52 ) )
| ( SV179 != nil_char ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1364]) ).
thf(1504,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $false )
| ( ( ~ ( ( SV53
!= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1505,plain,
! [SV53: list_n282880152tr_b_c,SV180: list_n282880152tr_b_c] :
( ( ( SV180 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( SV53
!= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 != nil_no279930520tr_b_c ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1506,plain,
! [SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV60 != nil_no279930520tr_b_c )
| ( SV268 != SV181 ) ) )
= $true )
| ( ( ~ ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1507,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ~ ! [SY663: char,SY664: list_char] : ( SV61 @ ( cons_char @ SY663 @ SY664 ) @ nil_char ) )
= $true )
| ( ( ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) )
| ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1367]) ).
thf(1508,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY673: char,SY674: list_char] : ( SV62 @ ( cons_char @ SY673 @ SY674 ) @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) )
| ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1509,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( is_doc1417632087_j_k_l @ SV184 )
= $false )
| ( ( ~ ( ~ ( is_doc1417632087_j_k_l @ SV184 )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1369]) ).
thf(1510,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k )
= $false )
| ( ( ~ ( ~ ( is_doc1417632087_j_k_l @ SV184 )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1369]) ).
thf(1511,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY1084: node_p1234578834tr_b_c] : ( SV185 @ ( cons_n413985352tr_b_c @ SY1084 @ nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY1085: node_p1234578834tr_b_c,SY1086: list_n282880152tr_b_c] :
( ~ ( ( SY1086 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1086 )
| ( SV185 @ ( append846395565tr_b_c @ SY1086 @ ( cons_n413985352tr_b_c @ SY1085 @ nil_no279930520tr_b_c ) ) ) )
| ( SV185 @ SV64 ) )
= $true )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1370]) ).
thf(1512,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1513,plain,
! [SV187: list_char,SV272: list_char,SV66: list_char > list_char > $o] :
( ( ( SV66 @ nil_char @ ( sK11_SY690 @ SV272 @ SV187 @ SV66 ) )
= $false )
| ( ( ~ ! [SY691: char,SY692: list_char,SY693: list_char] :
( ~ ( SV66 @ SY693 @ SY692 )
| ( SV66 @ ( cons_char @ SY691 @ SY692 ) @ SY693 ) )
| ( SV66 @ SV187 @ SV272 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1373]) ).
thf(1514,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ! [SY695: node_p1234578834tr_b_c] : ( SV67 @ ( cons_n413985352tr_b_c @ SY695 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ! [SY696: node_p1234578834tr_b_c,SY697: node_p1234578834tr_b_c,SY698: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY698 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ SY696 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) ) ) )
| ( SV67 @ SV188 ) )
= $true )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1515,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY702: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY703: node_p1234578834tr_b_c] : ( SV68 @ SY702 @ ( cons_n413985352tr_b_c @ SY703 @ nil_no279930520tr_b_c ) )
| ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SV189 @ SV273 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1375]) ).
thf(1516,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( ~ ! [SY1106: char] : ( SV190 @ ( cons_char @ SY1106 @ nil_char ) ) )
= $true )
| ( ( ~ ! [SY1107: char,SY1108: list_char] :
( ~ ( ( SY1108 != nil_char ) )
| ~ ( SV190 @ SY1108 )
| ( SV190 @ ( cons_char @ SY1107 @ SY1108 ) ) )
| ( SV190 @ SV69 ) )
= $true )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1517,plain,
! [SV70: list_char] :
( ( ( ! [SY1599: char] :
( SV70
!= ( append_char @ ( sK13_SY712 @ SV70 ) @ ( cons_char @ SY1599 @ nil_char ) ) ) )
= $false )
| ( ( SV70 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1377]) ).
thf(1518,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( SV71 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) )
| ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1519,plain,
! [SV274: option_element_ptr_a,SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o] :
( ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( ~ ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) )
| ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1520,plain,
! [SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c,SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY1375: node_p1234578834tr_b_c,SY1376: list_n282880152tr_b_c,SY1377: node_p1234578834tr_b_c,SY1378: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1376 )
!= ( size_s2106487044tr_b_c @ SY1378 ) )
| ~ ( SV275 @ SY1376 @ SY1378 )
| ( SV275 @ ( cons_n413985352tr_b_c @ SY1375 @ SY1376 ) @ ( cons_n413985352tr_b_c @ SY1377 @ SY1378 ) ) )
| ( SV275 @ SV72 @ SV192 ) )
= $true )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1379]) ).
thf(1521,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1380]) ).
thf(1522,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ( ! [SY728: char,SY729: list_char] :
( ~ ( SV74 @ SY729 )
| ( SV74 @ ( append_char @ SY729 @ ( cons_char @ SY728 @ nil_char ) ) ) ) )
= $false )
| ( ( SV74 @ SV194 )
= $true )
| ( ( SV74 @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1523,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1524,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( SV76 != none_element_ptr_a )
= $false )
| ( ( ~ ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) )
| ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1525,plain,
! [SV278: option2026120038on_j_k,SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o] :
( ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( ~ ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) )
| ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1526,plain,
! [SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV279: list_n282880152tr_b_c,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( SV77 @ ( sK14_SY739 @ SV279 @ SV197 @ SV77 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY740: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY741: node_p1234578834tr_b_c,SY742: list_n282880152tr_b_c] :
( ~ ( SV77 @ SY740 @ SY742 )
| ( SV77 @ SY740 @ ( cons_n413985352tr_b_c @ SY741 @ SY742 ) ) )
| ( SV77 @ SV197 @ SV279 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1384]) ).
thf(1527,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1528,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $true )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1386]) ).
thf(1529,plain,
! [SV198: char > char > $o,SV280: list_char,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( SV79 @ ( sK15_SY746 @ SV280 @ SV198 @ SV79 ) @ nil_char )
= $false )
| ( ( ~ ! [SY747: char > char > $o,SY748: char,SY749: list_char] :
( ~ ( SV79 @ SY747 @ SY749 )
| ( SV79 @ SY747 @ ( cons_char @ SY748 @ SY749 ) ) )
| ( SV79 @ SV198 @ SV280 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1387]) ).
thf(1530,plain,
! [SV80: rObjec1617416918on_j_k] :
( ( ! [SY1600: list_n282880152tr_b_c,SY1601: option2026120038on_j_k] :
( SV80
!= ( rObjec1303043984on_j_k @ ( sK1_SY750 @ SV80 ) @ ( rDocum427676485on_j_k @ ( sK4_SY1391 @ SV80 ) @ ( sK6_SY1518 @ SV80 ) @ ( sK16_SY1568 @ SV80 ) @ SY1600 @ SY1601 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1388]) ).
thf(1531,plain,
! [SV199: list_char,SV281: list_char,SV81: list_char > list_char > $o] :
( ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false )
| ( ( ~ ! [SY759: list_char] : ( SV81 @ SY759 @ nil_char )
| ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) )
| ( SV81 @ SV199 @ SV281 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1389]) ).
thf(1532,plain,
! [SV200: list_char,SV82: list_char > $o] :
( ( ( ! [SY765: char] : ( SV82 @ ( cons_char @ SY765 @ nil_char ) ) )
= $false )
| ( ( ~ ! [SY766: char,SY767: char,SY768: list_char] :
( ~ ( ( SY766 != SY767 )
| ( SV82 @ ( cons_char @ SY766 @ SY768 ) ) )
| ~ ( ~ ( ( SY766 != SY767 ) )
| ( SV82 @ ( cons_char @ SY767 @ SY768 ) ) )
| ( SV82 @ ( cons_char @ SY766 @ ( cons_char @ SY767 @ SY768 ) ) ) )
| ( SV82 @ SV200 ) )
= $true )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1533,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1391]) ).
thf(1534,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1391]) ).
thf(1535,plain,
! [SV85: list_n282880152tr_b_c] :
( ( ( ! [SY1602: list_n282880152tr_b_c] :
( SV85
!= ( cons_n413985352tr_b_c @ ( sK18_SY772 @ SV85 ) @ SY1602 ) ) )
= $false )
| ( ( SV85 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1393]) ).
thf(1536,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1537,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1538,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1539,plain,
! [SV205: list_n282880152tr_b_c,SV285: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV89 @ nil_no279930520tr_b_c @ ( sK19_SY785 @ SV285 @ SV205 @ SV89 ) )
= $false )
| ( ( ~ ! [SY786: node_p1234578834tr_b_c,SY787: list_n282880152tr_b_c,SY788: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY788 @ SY787 )
| ( SV89 @ ( cons_n413985352tr_b_c @ SY786 @ SY787 ) @ SY788 ) )
| ( SV89 @ SV205 @ SV285 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1398]) ).
thf(1540,plain,
! [SV92: option_element_ptr_a] :
( ( ( SV92
!= ( some_element_ptr_a @ ( sK20_SY792 @ SV92 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 != none_element_ptr_a ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1400]) ).
thf(1541,plain,
! [SV92: option_element_ptr_a] :
( ( ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 != none_element_ptr_a ) )
= $false )
| ( ( SV92 = none_element_ptr_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1542,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( ~ ! [SY1159: char] : ( SV207 @ ( cons_char @ SY1159 @ nil_char ) ) )
= $true )
| ( ( ~ ! [SY1160: char,SY1161: list_char] :
( ~ ( ( SY1161 != nil_char ) )
| ~ ( SV207 @ SY1161 )
| ( SV207 @ ( append_char @ SY1161 @ ( cons_char @ SY1160 @ nil_char ) ) ) )
| ( SV207 @ SV93 ) )
= $true )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1543,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
| ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) )
= $true )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1403]) ).
thf(1544,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ( ! [SY803: char,SY804: list_char] :
( ~ ( SV96 @ SY804 )
| ( SV96 @ ( cons_char @ SY803 @ SY804 ) ) ) )
= $false )
| ( ( SV96 @ SV210 )
= $true )
| ( ( SV96 @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1545,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) )
= $true )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1546,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( SV98 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
| ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1408]) ).
thf(1547,plain,
! [SV288: option2026120038on_j_k,SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o] :
( ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( ~ ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
| ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1408]) ).
thf(1548,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1549,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( ! [SY816: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ SY816 ) ) )
= $false )
| ( ( ~ ! [SY817: node_p1234578834tr_b_c,SY818: list_n282880152tr_b_c,SY819: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SY817 @ SY818 ) @ SY819 ) ) )
= $true )
| ( ( SV100 = nil_li198338206tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1550,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( SV101 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1411]) ).
thf(1551,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1412]) ).
thf(1552,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ! [SY823: char] : ( SV102 @ ( cons_char @ SY823 @ nil_char ) ) )
= $false )
| ( ( ~ ! [SY824: char,SY825: char,SY826: list_char] :
( ~ ( SV102 @ SY826 )
| ~ ( SV102 @ ( cons_char @ SY825 @ SY826 ) )
| ( SV102 @ ( cons_char @ SY824 @ ( cons_char @ SY825 @ SY826 ) ) ) )
| ( SV102 @ SV214 ) )
= $true )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1553,plain,
! [SV290: list_n282880152tr_b_c,SV215: node_p1234578834tr_b_c,SV103: list_n282880152tr_b_c] :
( ( ( SV103 = nil_no279930520tr_b_c )
= $false )
| ( ( SV103
= ( cons_n413985352tr_b_c @ SV215 @ SV290 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1554,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 ) )
= $false )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1415]) ).
thf(1555,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1415]) ).
thf(1556,plain,
! [SV105: option2026120038on_j_k] :
( ( ( SV105 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1416]) ).
thf(1557,plain,
! [SV105: option2026120038on_j_k] :
( ( ( ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1558,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false )
| ( ( ( ( size_size_list_char @ SV217 )
!= ( size_size_list_char @ SV291 ) )
| ~ ( SV324 @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1524: char,SY1525: list_char,SY1526: char,SY1527: list_char,SY1528: char,SY1529: list_char] :
( ( ( size_size_list_char @ SY1525 )
!= ( size_size_list_char @ SY1527 ) )
| ( ( size_size_list_char @ SY1527 )
!= ( size_size_list_char @ SY1529 ) )
| ~ ( SV324 @ SY1525 @ SY1527 @ SY1529 )
| ( SV324 @ ( cons_char @ SY1524 @ SY1525 ) @ ( cons_char @ SY1526 @ SY1527 ) @ ( cons_char @ SY1528 @ SY1529 ) ) )
| ( SV324 @ SV106 @ SV217 @ SV291 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1559,plain,
! [SV218: rObjec1617416918on_j_k,SV107: rObjec1617416918on_j_k > $o] :
( ( ( SV107 @ ( rObjec1303043984on_j_k @ ( sK8_SY842 @ SV218 @ SV107 ) @ ( sK21_SY1571 @ SV218 @ SV107 ) ) )
= $false )
| ( ( SV107 @ SV218 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1419]) ).
thf(1560,plain,
! [SV108: list_char] :
( ( ( ! [SY844: char] :
( SV108
!= ( cons_char @ SY844 @ nil_char ) ) )
= $false )
| ( ( ~ ! [SY845: char,SY846: char,SY847: list_char] :
( SV108
!= ( cons_char @ SY845 @ ( cons_char @ SY846 @ SY847 ) ) ) )
= $true )
| ( ( SV108 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1561,plain,
! [SV109: list_n282880152tr_b_c] :
( ( ( ! [SY1603: node_p1234578834tr_b_c] :
( SV109
!= ( append846395565tr_b_c @ ( sK22_SY848 @ SV109 ) @ ( cons_n413985352tr_b_c @ SY1603 @ nil_no279930520tr_b_c ) ) ) )
= $false )
| ( ( SV109 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1421]) ).
thf(1562,plain,
! [SV219: list_n282880152tr_b_c,SV292: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false )
| ( ( ~ ! [SY853: list_n282880152tr_b_c] : ( SV110 @ SY853 @ nil_no279930520tr_b_c )
| ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) )
| ( SV110 @ SV219 @ SV292 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1422]) ).
thf(1563,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY860: node_p1234578834tr_b_c,SY861: list_n282880152tr_b_c] : ( SV111 @ ( cons_n413985352tr_b_c @ SY860 @ SY861 ) @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) )
| ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1564,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1565,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1566,plain,
! [SV222: rObjec1617416918on_j_k,SV113: rObjec1617416918on_j_k > $o] :
( ( ( ! [SY1604: list_char,SY1605: option_element_ptr_a,SY1606: list_n282880152tr_b_c,SY1607: option2026120038on_j_k] : ( SV113 @ ( rObjec1303043984on_j_k @ ( sK9_SY871 @ SV222 @ SV113 ) @ ( rDocum427676485on_j_k @ ( sK24_SY1572 @ SV222 @ SV113 ) @ SY1604 @ SY1605 @ SY1606 @ SY1607 ) ) ) )
= $false )
| ( ( SV113 @ SV222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1425]) ).
thf(1567,plain,
! [SV294: list_char,SV223: char,SV114: list_char] :
( ( ( SV114 = nil_char )
= $false )
| ( ( SV114
= ( cons_char @ SV223 @ SV294 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1568,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1569,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1570,plain,
! [SV226: list_n282880152tr_b_c,SV117: list_n282880152tr_b_c > $o] :
( ( ( ! [SY882: node_p1234578834tr_b_c] : ( SV117 @ ( cons_n413985352tr_b_c @ SY882 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ! [SY883: node_p1234578834tr_b_c,SY884: node_p1234578834tr_b_c,SY885: list_n282880152tr_b_c] :
( ~ ( ( SY883 != SY884 )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ SY885 ) ) )
| ~ ( ~ ( ( SY883 != SY884 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) ) )
| ( SV117 @ SV226 ) )
= $true )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1571,plain,
! [SV118: list_list_char] :
( ( ( ! [SY886: list_list_char] :
( SV118
!= ( cons_list_char @ nil_char @ SY886 ) ) )
= $false )
| ( ( ~ ! [SY887: char,SY888: list_char,SY889: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ SY887 @ SY888 ) @ SY889 ) ) )
= $true )
| ( ( SV118 = nil_list_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1572,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1573,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1574,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false )
| ( ( ( ( size_s2106487044tr_b_c @ SV228 )
!= ( size_s2106487044tr_b_c @ SV295 ) )
| ~ ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY1530: node_p1234578834tr_b_c,SY1531: list_n282880152tr_b_c,SY1532: node_p1234578834tr_b_c,SY1533: list_n282880152tr_b_c,SY1534: node_p1234578834tr_b_c,SY1535: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1531 )
!= ( size_s2106487044tr_b_c @ SY1533 ) )
| ( ( size_s2106487044tr_b_c @ SY1533 )
!= ( size_s2106487044tr_b_c @ SY1535 ) )
| ~ ( SV325 @ SY1531 @ SY1533 @ SY1535 )
| ( SV325 @ ( cons_n413985352tr_b_c @ SY1530 @ SY1531 ) @ ( cons_n413985352tr_b_c @ SY1532 @ SY1533 ) @ ( cons_n413985352tr_b_c @ SY1534 @ SY1535 ) ) )
| ( SV325 @ SV120 @ SV228 @ SV295 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1575,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false )
| ( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1432]) ).
thf(1576,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) )
= $false )
| ( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1432]) ).
thf(1577,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false )
| ( ( ~ ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1433]) ).
thf(1578,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) )
= $false )
| ( ( ~ ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1433]) ).
thf(1579,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false )
| ( ( ~ ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1580,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1581,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ( size_size_list_char @ SV124 )
!= ( size_size_list_char @ SV232 ) )
= $true )
| ( ( ( ( size_size_list_char @ SV232 )
!= ( size_size_list_char @ SV296 ) )
| ( ( size_size_list_char @ SV296 )
!= ( size_size_list_char @ SV326 ) )
| ~ ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) )
| ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1435]) ).
thf(1582,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true )
| ( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1436]) ).
thf(1583,plain,
! [SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ! [SY1608: list_char,SY1609: option_element_ptr_a,SY1610: list_n282880152tr_b_c,SY1611: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SY1608 @ SY1609 @ SY1610 @ SY1611 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SY1608 ) )
| ( SV298 != SY1609 ) )
| ( SV328 != SY1610 ) )
| ( SV343 != SY1611 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1584,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1585,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY1254: node_p1234578834tr_b_c] : ( SV237 @ ( cons_n413985352tr_b_c @ SY1254 @ nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY1255: node_p1234578834tr_b_c,SY1256: list_n282880152tr_b_c] :
( ~ ( ( SY1256 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1256 )
| ( SV237 @ ( cons_n413985352tr_b_c @ SY1255 @ SY1256 ) ) )
| ( SV237 @ SV129 ) )
= $true )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1441]) ).
thf(1586,plain,
! [SV130: option2026120038on_j_k] :
( ( ( SV130
!= ( some_S1960742641on_j_k @ ( sK25_SY936 @ SV130 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 != none_S1393028981on_j_k ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1442]) ).
thf(1587,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 != none_S1393028981on_j_k ) )
= $false )
| ( ( SV130 = none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1588,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 ) )
= $false )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1589,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1590,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( SV133 != none_element_ptr_a )
= $false )
| ( ( ~ ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
| ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1591,plain,
! [SV300: option_element_ptr_a,SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o] :
( ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( ~ ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
| ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1592,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ( ! [SY945: node_p1234578834tr_b_c,SY946: list_n282880152tr_b_c] :
( ~ ( SV134 @ SY946 )
| ( SV134 @ ( append846395565tr_b_c @ SY946 @ ( cons_n413985352tr_b_c @ SY945 @ nil_no279930520tr_b_c ) ) ) ) )
= $false )
| ( ( SV134 @ SV241 )
= $true )
| ( ( SV134 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1593,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1594,plain,
! [SV137: list_char] :
( ( ( SV137 = nil_char )
= $true )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1449]) ).
thf(1595,plain,
! [SV137: list_char] :
( ( ( ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1596,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1451]) ).
thf(1597,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false )
| ( ( ~ ! [SY959: char > char > $o,SY960: char] : ( SV139 @ SY959 @ ( cons_char @ SY960 @ nil_char ) )
| ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SV244 @ SV303 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1453]) ).
thf(1598,plain,
! [SV140: option_element_ptr_a] :
( ( ( SV140 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1454]) ).
thf(1599,plain,
! [SV140: option_element_ptr_a] :
( ( ( ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1455]) ).
thf(1600,plain,
! [SV245: option2026120038on_j_k,SV141: option2026120038on_j_k > $o] :
( ( ( ! [SY967: sum_su1221287958on_j_k] : ( SV141 @ ( some_S1960742641on_j_k @ SY967 ) ) )
= $false )
| ( ( SV141 @ SV245 )
= $true )
| ( ( SV141 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1601,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ( ! [SY969: node_p1234578834tr_b_c,SY970: list_n282880152tr_b_c] :
( ~ ( SV142 @ SY970 )
| ( SV142 @ ( cons_n413985352tr_b_c @ SY969 @ SY970 ) ) ) )
= $false )
| ( ( SV142 @ SV246 )
= $true )
| ( ( SV142 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1457]) ).
thf(1602,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( ! [SY972: node_p1234578834tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY972 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ! [SY973: node_p1234578834tr_b_c,SY974: node_p1234578834tr_b_c,SY975: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY973 @ ( cons_n413985352tr_b_c @ SY974 @ SY975 ) ) ) )
= $true )
| ( ( SV144 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1603,plain,
! [SV248: option_element_ptr_a,SV145: option_element_ptr_a > $o] :
( ( ( ! [SY977: element_ptr_a] : ( SV145 @ ( some_element_ptr_a @ SY977 ) ) )
= $false )
| ( ( SV145 @ SV248 )
= $true )
| ( ( SV145 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1604,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ~ ! [SY980: node_p1234578834tr_b_c,SY981: list_n282880152tr_b_c] : ( SV146 @ ( cons_n413985352tr_b_c @ SY980 @ SY981 ) @ nil_char ) )
= $true )
| ( ( ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) )
| ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1460]) ).
thf(1605,plain,
! [SV250: list_char,SV147: list_char,SV305: list_char > list_char > $o] :
( ( ( ~ ( SV305 @ nil_char @ nil_char ) )
= $true )
| ( ( ~ ! [SY1484: char,SY1485: list_char,SY1486: char,SY1487: list_char] :
( ( ( size_size_list_char @ SY1485 )
!= ( size_size_list_char @ SY1487 ) )
| ~ ( SV305 @ SY1485 @ SY1487 )
| ( SV305 @ ( cons_char @ SY1484 @ SY1485 ) @ ( cons_char @ SY1486 @ SY1487 ) ) )
| ( SV305 @ SV147 @ SV250 ) )
= $true )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1461]) ).
thf(1606,plain,
! [SV148: option_element_ptr_a] :
( ( ( SV148
!= ( some_element_ptr_a @ ( sK27_SY994 @ SV148 ) ) )
= $false )
| ( ( SV148 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1462]) ).
thf(1607,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1608,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1464]) ).
thf(1609,plain,
! [SV253: list_char,SV308: list_char,SV151: list_char] :
( ( ( ~ ( ( SV151 != nil_char )
| ( SV308 != SV253 ) ) )
= $true )
| ( ( ~ ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1466]) ).
thf(1610,plain,
! [SV152: option2026120038on_j_k] :
( ( ( SV152
!= ( some_S1960742641on_j_k @ ( sK28_SY1006 @ SV152 ) ) )
= $false )
| ( ( SV152 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1467]) ).
thf(1611,plain,
! [SV254: rDocum326988203on_j_k,SV153: rDocum326988203on_j_k > $o] :
( ( ( ! [SY1612: option_element_ptr_a,SY1613: list_n282880152tr_b_c,SY1614: option2026120038on_j_k] : ( SV153 @ ( rDocum427676485on_j_k @ ( sK10_SY1008 @ SV254 @ SV153 ) @ ( sK29_SY1590 @ SV254 @ SV153 ) @ SY1612 @ SY1613 @ SY1614 ) ) )
= $false )
| ( ( SV153 @ SV254 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1468]) ).
thf(1612,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false )
| ( ( ~ ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1613,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1614,plain,
! [SV157: list_char] :
( ( ( ! [SY1615: list_char] :
( SV157
!= ( cons_char @ ( sK30_SY1015 @ SV157 ) @ SY1615 ) ) )
= $false )
| ( ( SV157 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1470]) ).
thf(1615,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( ( cast_D1252964113_h_i_l @ SV1 )
!= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 != SV158 ) )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1616,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( ( cast_D1252964113_h_i_l @ SV1 )
!= ( cast_D1252964113_h_i_l @ SV158 ) )
| ( SV1 != SV158 ) )
= $false )
| ( ( SV1 = SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1617,plain,
! [SV356: option2026120038on_j_k,SV345: list_n282880152tr_b_c,SV332: option_element_ptr_a,SV310: list_char,SV258: product_unit,SV160: product_unit,SV5: product_unit > product_unit] :
( ( ( nothin1105341917on_j_k @ SV5 @ ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ SV258 @ SV310 @ SV332 @ SV345 @ SV356 ) ) )
= ( rObjec1303043984on_j_k @ SV160 @ ( rDocum427676485on_j_k @ ( SV5 @ SV258 ) @ SV310 @ SV332 @ SV345 @ SV356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1618,plain,
! [SV357: option2026120038on_j_k,SV346: list_n282880152tr_b_c,SV333: option_element_ptr_a,SV311: list_char,SV259: product_unit,SV161: product_unit,SV6: list_char > list_char] :
( ( ( doctyp68000440on_j_k @ SV6 @ ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ SV311 @ SV333 @ SV346 @ SV357 ) ) )
= ( rObjec1303043984on_j_k @ SV161 @ ( rDocum427676485on_j_k @ SV259 @ ( SV6 @ SV311 ) @ SV333 @ SV346 @ SV357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(1619,plain,
! [SV358: option2026120038on_j_k,SV347: list_n282880152tr_b_c,SV334: option_element_ptr_a,SV312: list_char,SV260: product_unit,SV162: product_unit,SV7: option_element_ptr_a > option_element_ptr_a] :
( ( ( docume244715269on_j_k @ SV7 @ ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SV312 @ SV334 @ SV347 @ SV358 ) ) )
= ( rObjec1303043984on_j_k @ SV162 @ ( rDocum427676485on_j_k @ SV260 @ SV312 @ ( SV7 @ SV334 ) @ SV347 @ SV358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(1620,plain,
! [SV359: option2026120038on_j_k,SV348: list_n282880152tr_b_c,SV335: option_element_ptr_a,SV313: list_char,SV261: product_unit,SV163: product_unit,SV8: list_n282880152tr_b_c > list_n282880152tr_b_c] :
( ( ( discon442323090on_j_k @ SV8 @ ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SV313 @ SV335 @ SV348 @ SV359 ) ) )
= ( rObjec1303043984on_j_k @ SV163 @ ( rDocum427676485on_j_k @ SV261 @ SV313 @ SV335 @ ( SV8 @ SV348 ) @ SV359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(1621,plain,
! [SV360: option2026120038on_j_k,SV349: list_n282880152tr_b_c,SV336: option_element_ptr_a,SV314: list_char,SV262: product_unit,SV165: product_unit,SV10: option2026120038on_j_k > option2026120038on_j_k] :
( ( ( more_u1044474223_c_a_b @ SV10 @ ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SV314 @ SV336 @ SV349 @ SV360 ) ) )
= ( rObjec1303043984on_j_k @ SV165 @ ( rDocum427676485on_j_k @ SV262 @ SV314 @ SV336 @ SV349 @ ( SV10 @ SV360 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1622,plain,
! [SV16: list_char] :
( ( ( ( size_size_list_char @ SV16 )
!= zero_zero_nat )
= $false )
| ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1623,plain,
! [SV16: list_char] :
( ( ( SV16 != nil_char )
= $false )
| ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1624,plain,
! [SV16: list_char] :
( ( ( ( size_size_list_char @ SV16 )
!= zero_zero_nat )
= $false )
| ( ( SV16 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1625,plain,
! [SV16: list_char] :
( ( ( SV16 != nil_char )
= $false )
| ( ( SV16 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1626,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV17 )
!= zero_zero_nat )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1627,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( SV17 != nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1628,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV17 )
!= zero_zero_nat )
= $false )
| ( ( SV17 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1629,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( SV17 != nil_no279930520tr_b_c )
= $false )
| ( ( SV17 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1630,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( ( cast_O1034441233_j_k_l @ SV27 )
!= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
!= SV27 ) )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1631,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( ( cast_O1034441233_j_k_l @ SV27 )
!= ( some_R67702331on_j_k @ SV172 ) )
| ( ( cast_D1252964113_h_i_l @ SV172 )
!= SV27 ) )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1632,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( ( append_char @ SV46 @ SV173 )
!= SV46 )
| ( SV173 != nil_char ) )
= $false )
| ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1633,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( ( append_char @ SV46 @ SV173 )
!= SV46 )
| ( SV173 != nil_char ) )
= $false )
| ( ( SV173 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1634,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
!= SV47 )
| ( SV174 != nil_no279930520tr_b_c ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1635,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
!= SV47 )
| ( SV174 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV174 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1636,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( ( SV48
!= ( append_char @ SV48 @ SV175 ) )
| ( SV175 != nil_char ) )
= $false )
| ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1637,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( ( SV48
!= ( append_char @ SV48 @ SV175 ) )
| ( SV175 != nil_char ) )
= $false )
| ( ( SV175 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1638,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( ( SV49
!= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1639,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( ( SV49
!= ( append846395565tr_b_c @ SV49 @ SV176 ) )
| ( SV176 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV176 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1640,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( ( append_char @ SV50 @ SV177 )
!= SV177 )
| ( SV50 != nil_char ) )
= $false )
| ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1641,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( ( append_char @ SV50 @ SV177 )
!= SV177 )
| ( SV50 != nil_char ) )
= $false )
| ( ( SV50 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1642,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
!= SV178 )
| ( SV51 != nil_no279930520tr_b_c ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1500]) ).
thf(1643,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
!= SV178 )
| ( SV51 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV51 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1644,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( ( SV52
!= ( append_char @ SV179 @ SV52 ) )
| ( SV179 != nil_char ) )
= $false )
| ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1502]) ).
thf(1645,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( ( SV52
!= ( append_char @ SV179 @ SV52 ) )
| ( SV179 != nil_char ) )
= $false )
| ( ( SV179 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1646,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( ( SV53
!= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1647,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( ( SV53
!= ( append846395565tr_b_c @ SV180 @ SV53 ) )
| ( SV180 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV180 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1648,plain,
! [SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ( SV60 != nil_no279930520tr_b_c )
| ( SV268 != SV181 ) )
= $false )
| ( ( ~ ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1649,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ! [SY663: char,SY664: list_char] : ( SV61 @ ( cons_char @ SY663 @ SY664 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) )
| ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1650,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ! [SY673: char,SY674: list_char] : ( SV62 @ ( cons_char @ SY673 @ SY674 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) )
| ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1651,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ~ ( is_doc1417632087_j_k_l @ SV184 )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) )
= $false )
| ( ( is_doc1417632087_j_k_l @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1652,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV184 )
= none_R1587534007on_j_k )
= $true )
| ( ( ~ ( ~ ( is_doc1417632087_j_k_l @ SV184 )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1510]) ).
thf(1653,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1084: node_p1234578834tr_b_c] : ( SV185 @ ( cons_n413985352tr_b_c @ SY1084 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ! [SY1085: node_p1234578834tr_b_c,SY1086: list_n282880152tr_b_c] :
( ~ ( ( SY1086 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1086 )
| ( SV185 @ ( append846395565tr_b_c @ SY1086 @ ( cons_n413985352tr_b_c @ SY1085 @ nil_no279930520tr_b_c ) ) ) )
| ( SV185 @ SV64 ) )
= $true )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1654,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1655,plain,
! [SV272: list_char,SV187: list_char,SV66: list_char > list_char > $o] :
( ( ( ~ ! [SY691: char,SY692: list_char,SY693: list_char] :
( ~ ( SV66 @ SY693 @ SY692 )
| ( SV66 @ ( cons_char @ SY691 @ SY692 ) @ SY693 ) ) )
= $true )
| ( ( SV66 @ SV187 @ SV272 )
= $true )
| ( ( SV66 @ nil_char @ ( sK11_SY690 @ SV272 @ SV187 @ SV66 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1513]) ).
thf(1656,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY696: node_p1234578834tr_b_c,SY697: node_p1234578834tr_b_c,SY698: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY698 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ SY696 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) ) ) )
| ( SV67 @ SV188 ) )
= $true )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1514]) ).
thf(1657,plain,
! [SV273: list_n282880152tr_b_c,SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY702: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY703: node_p1234578834tr_b_c] : ( SV68 @ SY702 @ ( cons_n413985352tr_b_c @ SY703 @ nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SV189 @ SV273 ) )
= $true )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1515]) ).
thf(1658,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( ! [SY1106: char] : ( SV190 @ ( cons_char @ SY1106 @ nil_char ) ) )
= $false )
| ( ( ~ ! [SY1107: char,SY1108: list_char] :
( ~ ( ( SY1108 != nil_char ) )
| ~ ( SV190 @ SY1108 )
| ( SV190 @ ( cons_char @ SY1107 @ SY1108 ) ) )
| ( SV190 @ SV69 ) )
= $true )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1659,plain,
! [SV70: list_char] :
( ( ( SV70
!= ( append_char @ ( sK13_SY712 @ SV70 ) @ ( cons_char @ ( sK32_SY1599 @ SV70 ) @ nil_char ) ) )
= $false )
| ( ( SV70 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1517]) ).
thf(1660,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( SV71 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) )
| ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1661,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( ~ ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) ) )
= $true )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1662,plain,
! [SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c,SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1375: node_p1234578834tr_b_c,SY1376: list_n282880152tr_b_c,SY1377: node_p1234578834tr_b_c,SY1378: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1376 )
!= ( size_s2106487044tr_b_c @ SY1378 ) )
| ~ ( SV275 @ SY1376 @ SY1378 )
| ( SV275 @ ( cons_n413985352tr_b_c @ SY1375 @ SY1376 ) @ ( cons_n413985352tr_b_c @ SY1377 @ SY1378 ) ) )
| ( SV275 @ SV72 @ SV192 ) )
= $true )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1663,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1664,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1665,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ( ! [SY1616: list_char] :
( ~ ( SV74 @ SY1616 )
| ( SV74 @ ( append_char @ SY1616 @ ( cons_char @ ( sK33_SY728 @ SV194 @ SV74 ) @ nil_char ) ) ) ) )
= $false )
| ( ( SV74 @ SV194 )
= $true )
| ( ( SV74 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1522]) ).
thf(1666,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1667,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1668,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( SV76 = none_element_ptr_a )
= $true )
| ( ( ~ ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) )
| ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1524]) ).
thf(1669,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( ~ ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) ) )
= $true )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1525]) ).
thf(1670,plain,
! [SV279: list_n282880152tr_b_c,SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY740: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY741: node_p1234578834tr_b_c,SY742: list_n282880152tr_b_c] :
( ~ ( SV77 @ SY740 @ SY742 )
| ( SV77 @ SY740 @ ( cons_n413985352tr_b_c @ SY741 @ SY742 ) ) ) )
= $true )
| ( ( SV77 @ SV197 @ SV279 )
= $true )
| ( ( SV77 @ ( sK14_SY739 @ SV279 @ SV197 @ SV77 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1526]) ).
thf(1671,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1672,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1673,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $false )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1674,plain,
! [SV280: list_char,SV198: char > char > $o,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( ~ ! [SY747: char > char > $o,SY748: char,SY749: list_char] :
( ~ ( SV79 @ SY747 @ SY749 )
| ( SV79 @ SY747 @ ( cons_char @ SY748 @ SY749 ) ) ) )
= $true )
| ( ( SV79 @ SV198 @ SV280 )
= $true )
| ( ( SV79 @ ( sK15_SY746 @ SV280 @ SV198 @ SV79 ) @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1675,plain,
! [SV80: rObjec1617416918on_j_k] :
( ( ! [SY1617: option2026120038on_j_k] :
( SV80
!= ( rObjec1303043984on_j_k @ ( sK1_SY750 @ SV80 ) @ ( rDocum427676485on_j_k @ ( sK4_SY1391 @ SV80 ) @ ( sK6_SY1518 @ SV80 ) @ ( sK16_SY1568 @ SV80 ) @ ( sK34_SY1600 @ SV80 ) @ SY1617 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1530]) ).
thf(1676,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ~ ! [SY759: list_char] : ( SV81 @ SY759 @ nil_char ) )
= $true )
| ( ( ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) )
| ( SV81 @ SV199 @ SV281 ) )
= $true )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1531]) ).
thf(1677,plain,
! [SV200: list_char,SV82: list_char > $o] :
( ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY766: char,SY767: char,SY768: list_char] :
( ~ ( ( SY766 != SY767 )
| ( SV82 @ ( cons_char @ SY766 @ SY768 ) ) )
| ~ ( ~ ( ( SY766 != SY767 ) )
| ( SV82 @ ( cons_char @ SY767 @ SY768 ) ) )
| ( SV82 @ ( cons_char @ SY766 @ ( cons_char @ SY767 @ SY768 ) ) ) )
| ( SV82 @ SV200 ) )
= $true )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1532]) ).
thf(1678,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1679,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1534]) ).
thf(1680,plain,
! [SV85: list_n282880152tr_b_c] :
( ( ( SV85
!= ( cons_n413985352tr_b_c @ ( sK18_SY772 @ SV85 ) @ ( sK36_SY1602 @ SV85 ) ) )
= $false )
| ( ( SV85 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1535]) ).
thf(1681,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1682,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1683,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1684,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1685,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1686,plain,
! [SV285: list_n282880152tr_b_c,SV205: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY786: node_p1234578834tr_b_c,SY787: list_n282880152tr_b_c,SY788: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY788 @ SY787 )
| ( SV89 @ ( cons_n413985352tr_b_c @ SY786 @ SY787 ) @ SY788 ) ) )
= $true )
| ( ( SV89 @ SV205 @ SV285 )
= $true )
| ( ( SV89 @ nil_no279930520tr_b_c @ ( sK19_SY785 @ SV285 @ SV205 @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1539]) ).
thf(1687,plain,
! [SV92: option_element_ptr_a] :
( ( ( SV92
= ( some_element_ptr_a @ ( sK20_SY792 @ SV92 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 != none_element_ptr_a ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1540]) ).
thf(1688,plain,
! [SV92: option_element_ptr_a] :
( ( ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) ) )
= $false )
| ( ( SV92 = none_element_ptr_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1689,plain,
! [SV92: option_element_ptr_a] :
( ( ( SV92 != none_element_ptr_a )
= $false )
| ( ( SV92 = none_element_ptr_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1690,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( ! [SY1159: char] : ( SV207 @ ( cons_char @ SY1159 @ nil_char ) ) )
= $false )
| ( ( ~ ! [SY1160: char,SY1161: list_char] :
( ~ ( ( SY1161 != nil_char ) )
| ~ ( SV207 @ SY1161 )
| ( SV207 @ ( append_char @ SY1161 @ ( cons_char @ SY1160 @ nil_char ) ) ) )
| ( SV207 @ SV93 ) )
= $true )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1691,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
| ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $false )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1692,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ( ! [SY1618: list_char] :
( ~ ( SV96 @ SY1618 )
| ( SV96 @ ( cons_char @ ( sK37_SY803 @ SV210 @ SV96 ) @ SY1618 ) ) ) )
= $false )
| ( ( SV96 @ SV210 )
= $true )
| ( ( SV96 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1544]) ).
thf(1693,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $false )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1694,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( SV98 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
| ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1695,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( ~ ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) ) )
= $true )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1696,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1548]) ).
thf(1697,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1548]) ).
thf(1698,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( SV100
!= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ ( sK38_SY816 @ SV100 ) ) )
= $false )
| ( ( ~ ! [SY817: node_p1234578834tr_b_c,SY818: list_n282880152tr_b_c,SY819: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SY817 @ SY818 ) @ SY819 ) ) )
= $true )
| ( ( SV100 = nil_li198338206tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1549]) ).
thf(1699,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $false )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1700,plain,
! [SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ~ ~ ! [SY1619: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SV361 @ SY1619 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1701,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY824: char,SY825: char,SY826: list_char] :
( ~ ( SV102 @ SY826 )
| ~ ( SV102 @ ( cons_char @ SY825 @ SY826 ) )
| ( SV102 @ ( cons_char @ SY824 @ ( cons_char @ SY825 @ SY826 ) ) ) )
| ( SV102 @ SV214 ) )
= $true )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1552]) ).
thf(1702,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1554]) ).
thf(1703,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1704,plain,
! [SV105: option2026120038on_j_k] :
( ( ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $false )
| ( ( SV105 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1705,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( SV105
!= ( some_S1960742641on_j_k @ SV362 ) )
= $true )
| ( ( ~ ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(1706,plain,
! [SV106: list_char,SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char] :
( ( ( ( size_size_list_char @ SV217 )
!= ( size_size_list_char @ SV291 ) )
= $true )
| ( ( ~ ( SV324 @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1524: char,SY1525: list_char,SY1526: char,SY1527: list_char,SY1528: char,SY1529: list_char] :
( ( ( size_size_list_char @ SY1525 )
!= ( size_size_list_char @ SY1527 ) )
| ( ( size_size_list_char @ SY1527 )
!= ( size_size_list_char @ SY1529 ) )
| ~ ( SV324 @ SY1525 @ SY1527 @ SY1529 )
| ( SV324 @ ( cons_char @ SY1524 @ SY1525 ) @ ( cons_char @ SY1526 @ SY1527 ) @ ( cons_char @ SY1528 @ SY1529 ) ) )
| ( SV324 @ SV106 @ SV217 @ SV291 ) )
= $true )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1707,plain,
! [SV108: list_char] :
( ( ( SV108
!= ( cons_char @ ( sK41_SY844 @ SV108 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY845: char,SY846: char,SY847: list_char] :
( SV108
!= ( cons_char @ SY845 @ ( cons_char @ SY846 @ SY847 ) ) ) )
= $true )
| ( ( SV108 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1560]) ).
thf(1708,plain,
! [SV109: list_n282880152tr_b_c] :
( ( ( SV109
!= ( append846395565tr_b_c @ ( sK22_SY848 @ SV109 ) @ ( cons_n413985352tr_b_c @ ( sK42_SY1603 @ SV109 ) @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV109 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1561]) ).
thf(1709,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY853: list_n282880152tr_b_c] : ( SV110 @ SY853 @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) )
| ( SV110 @ SV219 @ SV292 ) )
= $true )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1562]) ).
thf(1710,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY860: node_p1234578834tr_b_c,SY861: list_n282880152tr_b_c] : ( SV111 @ ( cons_n413985352tr_b_c @ SY860 @ SY861 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) )
| ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1711,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1712,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1713,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1714,plain,
! [SV222: rObjec1617416918on_j_k,SV113: rObjec1617416918on_j_k > $o] :
( ( ( ! [SY1620: option_element_ptr_a,SY1621: list_n282880152tr_b_c,SY1622: option2026120038on_j_k] : ( SV113 @ ( rObjec1303043984on_j_k @ ( sK9_SY871 @ SV222 @ SV113 ) @ ( rDocum427676485on_j_k @ ( sK24_SY1572 @ SV222 @ SV113 ) @ ( sK43_SY1604 @ SV222 @ SV113 ) @ SY1620 @ SY1621 @ SY1622 ) ) ) )
= $false )
| ( ( SV113 @ SV222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1566]) ).
thf(1715,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1716,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1717,plain,
! [SV226: list_n282880152tr_b_c,SV117: list_n282880152tr_b_c > $o] :
( ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY883: node_p1234578834tr_b_c,SY884: node_p1234578834tr_b_c,SY885: list_n282880152tr_b_c] :
( ~ ( ( SY883 != SY884 )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ SY885 ) ) )
| ~ ( ~ ( ( SY883 != SY884 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) ) )
| ( SV117 @ SV226 ) )
= $true )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1570]) ).
thf(1718,plain,
! [SV118: list_list_char] :
( ( ( SV118
!= ( cons_list_char @ nil_char @ ( sK45_SY886 @ SV118 ) ) )
= $false )
| ( ( ~ ! [SY887: char,SY888: list_char,SY889: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ SY887 @ SY888 ) @ SY889 ) ) )
= $true )
| ( ( SV118 = nil_list_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1571]) ).
thf(1719,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1720,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1721,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1722,plain,
! [SV120: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV228 )
!= ( size_s2106487044tr_b_c @ SV295 ) )
= $true )
| ( ( ~ ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY1530: node_p1234578834tr_b_c,SY1531: list_n282880152tr_b_c,SY1532: node_p1234578834tr_b_c,SY1533: list_n282880152tr_b_c,SY1534: node_p1234578834tr_b_c,SY1535: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1531 )
!= ( size_s2106487044tr_b_c @ SY1533 ) )
| ( ( size_s2106487044tr_b_c @ SY1533 )
!= ( size_s2106487044tr_b_c @ SY1535 ) )
| ~ ( SV325 @ SY1531 @ SY1533 @ SY1535 )
| ( SV325 @ ( cons_n413985352tr_b_c @ SY1530 @ SY1531 ) @ ( cons_n413985352tr_b_c @ SY1532 @ SY1533 ) @ ( cons_n413985352tr_b_c @ SY1534 @ SY1535 ) ) )
| ( SV325 @ SV120 @ SV228 @ SV295 ) )
= $true )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1574]) ).
thf(1723,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) )
= $false )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1724,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( SV121 != nil_char )
| ( SV229 != nil_char ) )
= $true )
| ( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1725,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) )
= $false )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1577]) ).
thf(1726,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ( SV122 != nil_char )
| ( SV230 != nil_char ) )
= $true )
| ( ( ~ ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1727,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) )
= $false )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1579]) ).
thf(1728,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( SV123 != nil_char )
| ( SV231 != nil_char ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1729,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false )
| ( ( ( ( size_size_list_char @ SV232 )
!= ( size_size_list_char @ SV296 ) )
| ( ( size_size_list_char @ SV296 )
!= ( size_size_list_char @ SV326 ) )
| ~ ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) )
| ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1730,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) )
= $false )
| ( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1731,plain,
! [SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ! [SY1623: option_element_ptr_a,SY1624: list_n282880152tr_b_c,SY1625: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SY1623 @ SY1624 @ SY1625 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SY1623 ) )
| ( SV328 != SY1624 ) )
| ( SV343 != SY1625 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(1732,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1733,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1734,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1254: node_p1234578834tr_b_c] : ( SV237 @ ( cons_n413985352tr_b_c @ SY1254 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ! [SY1255: node_p1234578834tr_b_c,SY1256: list_n282880152tr_b_c] :
( ~ ( ( SY1256 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1256 )
| ( SV237 @ ( cons_n413985352tr_b_c @ SY1255 @ SY1256 ) ) )
| ( SV237 @ SV129 ) )
= $true )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1735,plain,
! [SV130: option2026120038on_j_k] :
( ( ( SV130
= ( some_S1960742641on_j_k @ ( sK25_SY936 @ SV130 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 != none_S1393028981on_j_k ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1586]) ).
thf(1736,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) ) )
= $false )
| ( ( SV130 = none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1737,plain,
! [SV130: option2026120038on_j_k] :
( ( ( SV130 != none_S1393028981on_j_k )
= $false )
| ( ( SV130 = none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1738,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1588]) ).
thf(1739,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1589]) ).
thf(1740,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( SV133 = none_element_ptr_a )
= $true )
| ( ( ~ ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
| ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1590]) ).
thf(1741,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( ~ ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) ) )
= $true )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1591]) ).
thf(1742,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1626: list_n282880152tr_b_c] :
( ~ ( SV134 @ SY1626 )
| ( SV134 @ ( append846395565tr_b_c @ SY1626 @ ( cons_n413985352tr_b_c @ ( sK47_SY945 @ SV241 @ SV134 ) @ nil_no279930520tr_b_c ) ) ) ) )
= $false )
| ( ( SV134 @ SV241 )
= $true )
| ( ( SV134 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1592]) ).
thf(1743,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1593]) ).
thf(1744,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1593]) ).
thf(1745,plain,
! [SV137: list_char] :
( ( ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $false )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1746,plain,
! [SV364: char,SV137: list_char] :
( ( ( ~ ~ ! [SY1627: list_char] :
( SV137
!= ( cons_char @ SV364 @ SY1627 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(1747,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1748,plain,
! [SV303: list_char,SV244: char > char > $o,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ~ ! [SY959: char > char > $o,SY960: char] : ( SV139 @ SY959 @ ( cons_char @ SY960 @ nil_char ) ) )
= $true )
| ( ( ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SV244 @ SV303 ) )
= $true )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1597]) ).
thf(1749,plain,
! [SV140: option_element_ptr_a] :
( ( ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $false )
| ( ( SV140 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1750,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( SV140
!= ( some_element_ptr_a @ SV365 ) )
= $true )
| ( ( ~ ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(1751,plain,
! [SV245: option2026120038on_j_k,SV141: option2026120038on_j_k > $o] :
( ( ( SV141 @ ( some_S1960742641on_j_k @ ( sK48_SY967 @ SV245 @ SV141 ) ) )
= $false )
| ( ( SV141 @ SV245 )
= $true )
| ( ( SV141 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1600]) ).
thf(1752,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1628: list_n282880152tr_b_c] :
( ~ ( SV142 @ SY1628 )
| ( SV142 @ ( cons_n413985352tr_b_c @ ( sK49_SY969 @ SV246 @ SV142 ) @ SY1628 ) ) ) )
= $false )
| ( ( SV142 @ SV246 )
= $true )
| ( ( SV142 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1601]) ).
thf(1753,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( SV144
!= ( cons_n413985352tr_b_c @ ( sK50_SY972 @ SV144 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY973: node_p1234578834tr_b_c,SY974: node_p1234578834tr_b_c,SY975: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY973 @ ( cons_n413985352tr_b_c @ SY974 @ SY975 ) ) ) )
= $true )
| ( ( SV144 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1602]) ).
thf(1754,plain,
! [SV248: option_element_ptr_a,SV145: option_element_ptr_a > $o] :
( ( ( SV145 @ ( some_element_ptr_a @ ( sK51_SY977 @ SV248 @ SV145 ) ) )
= $false )
| ( ( SV145 @ SV248 )
= $true )
| ( ( SV145 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1603]) ).
thf(1755,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ! [SY980: node_p1234578834tr_b_c,SY981: list_n282880152tr_b_c] : ( SV146 @ ( cons_n413985352tr_b_c @ SY980 @ SY981 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) )
| ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1756,plain,
! [SV250: list_char,SV147: list_char,SV305: list_char > list_char > $o] :
( ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ~ ! [SY1484: char,SY1485: list_char,SY1486: char,SY1487: list_char] :
( ( ( size_size_list_char @ SY1485 )
!= ( size_size_list_char @ SY1487 ) )
| ~ ( SV305 @ SY1485 @ SY1487 )
| ( SV305 @ ( cons_char @ SY1484 @ SY1485 ) @ ( cons_char @ SY1486 @ SY1487 ) ) )
| ( SV305 @ SV147 @ SV250 ) )
= $true )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1757,plain,
! [SV148: option_element_ptr_a] :
( ( ( SV148
= ( some_element_ptr_a @ ( sK27_SY994 @ SV148 ) ) )
= $true )
| ( ( SV148 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1606]) ).
thf(1758,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1759,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1760,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1761,plain,
! [SV253: list_char,SV308: list_char,SV151: list_char] :
( ( ( ( SV151 != nil_char )
| ( SV308 != SV253 ) )
= $false )
| ( ( ~ ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1762,plain,
! [SV152: option2026120038on_j_k] :
( ( ( SV152
= ( some_S1960742641on_j_k @ ( sK28_SY1006 @ SV152 ) ) )
= $true )
| ( ( SV152 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1610]) ).
thf(1763,plain,
! [SV254: rDocum326988203on_j_k,SV153: rDocum326988203on_j_k > $o] :
( ( ( ! [SY1629: list_n282880152tr_b_c,SY1630: option2026120038on_j_k] : ( SV153 @ ( rDocum427676485on_j_k @ ( sK10_SY1008 @ SV254 @ SV153 ) @ ( sK29_SY1590 @ SV254 @ SV153 ) @ ( sK52_SY1612 @ SV254 @ SV153 ) @ SY1629 @ SY1630 ) ) )
= $false )
| ( ( SV153 @ SV254 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1611]) ).
thf(1764,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1765,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1613]) ).
thf(1766,plain,
! [SV157: list_char] :
( ( ( SV157
!= ( cons_char @ ( sK30_SY1015 @ SV157 ) @ ( sK53_SY1615 @ SV157 ) ) )
= $false )
| ( ( SV157 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1614]) ).
thf(1767,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV1 )
!= ( cast_D1252964113_h_i_l @ SV158 ) )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1768,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( SV1 != SV158 )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1769,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV1 )
!= ( cast_D1252964113_h_i_l @ SV158 ) )
= $false )
| ( ( SV1 = SV158 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1770,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( SV1 != SV158 )
= $false )
| ( ( SV1 = SV158 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1771,plain,
! [SV16: list_char] :
( ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= $true )
| ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1772,plain,
! [SV16: list_char] :
( ( ( SV16 = nil_char )
= $true )
| ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1773,plain,
! [SV16: list_char] :
( ( ( ( size_size_list_char @ SV16 )
= zero_zero_nat )
= $true )
| ( ( SV16 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1624]) ).
thf(1774,plain,
! [SV16: list_char] :
( ( ( SV16 = nil_char )
= $true )
| ( ( SV16 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1625]) ).
thf(1775,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= $true )
| ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1626]) ).
thf(1776,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( SV17 = nil_no279930520tr_b_c )
= $true )
| ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1777,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV17 )
= zero_zero_nat )
= $true )
| ( ( SV17 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1628]) ).
thf(1778,plain,
! [SV17: list_n282880152tr_b_c] :
( ( ( SV17 = nil_no279930520tr_b_c )
= $true )
| ( ( SV17 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1629]) ).
thf(1779,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV27 )
!= ( some_R67702331on_j_k @ SV172 ) )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1780,plain,
! [SV27: rObjec1413572695_j_k_l,SV172: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV172 )
!= SV27 )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1781,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV27 )
!= ( some_R67702331on_j_k @ SV172 ) )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1782,plain,
! [SV27: rObjec1413572695_j_k_l,SV172: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV172 )
!= SV27 )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1783,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( append_char @ SV46 @ SV173 )
!= SV46 )
= $false )
| ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1784,plain,
! [SV46: list_char,SV173: list_char] :
( ( ( SV173 != nil_char )
= $false )
| ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1785,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( append_char @ SV46 @ SV173 )
!= SV46 )
= $false )
| ( ( SV173 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1786,plain,
! [SV173: list_char] :
( ( ( SV173 != nil_char )
= $false )
| ( ( SV173 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1787,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
!= SV47 )
= $false )
| ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1788,plain,
! [SV47: list_n282880152tr_b_c,SV174: list_n282880152tr_b_c] :
( ( ( SV174 != nil_no279930520tr_b_c )
= $false )
| ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1789,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
!= SV47 )
= $false )
| ( ( SV174 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1790,plain,
! [SV174: list_n282880152tr_b_c] :
( ( ( SV174 != nil_no279930520tr_b_c )
= $false )
| ( ( SV174 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1791,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( SV48
!= ( append_char @ SV48 @ SV175 ) )
= $false )
| ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1792,plain,
! [SV48: list_char,SV175: list_char] :
( ( ( SV175 != nil_char )
= $false )
| ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1793,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( SV48
!= ( append_char @ SV48 @ SV175 ) )
= $false )
| ( ( SV175 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1794,plain,
! [SV175: list_char] :
( ( ( SV175 != nil_char )
= $false )
| ( ( SV175 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1795,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( SV49
!= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $false )
| ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1796,plain,
! [SV49: list_n282880152tr_b_c,SV176: list_n282880152tr_b_c] :
( ( ( SV176 != nil_no279930520tr_b_c )
= $false )
| ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1797,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( SV49
!= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $false )
| ( ( SV176 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1798,plain,
! [SV176: list_n282880152tr_b_c] :
( ( ( SV176 != nil_no279930520tr_b_c )
= $false )
| ( ( SV176 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1799,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( append_char @ SV50 @ SV177 )
!= SV177 )
= $false )
| ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1640]) ).
thf(1800,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( SV50 != nil_char )
= $false )
| ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1640]) ).
thf(1801,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( append_char @ SV50 @ SV177 )
!= SV177 )
= $false )
| ( ( SV50 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1802,plain,
! [SV50: list_char] :
( ( ( SV50 != nil_char )
= $false )
| ( ( SV50 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1803,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
!= SV178 )
= $false )
| ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1804,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( SV51 != nil_no279930520tr_b_c )
= $false )
| ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1805,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
!= SV178 )
= $false )
| ( ( SV51 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1806,plain,
! [SV51: list_n282880152tr_b_c] :
( ( ( SV51 != nil_no279930520tr_b_c )
= $false )
| ( ( SV51 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1807,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( SV52
!= ( append_char @ SV179 @ SV52 ) )
= $false )
| ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1644]) ).
thf(1808,plain,
! [SV52: list_char,SV179: list_char] :
( ( ( SV179 != nil_char )
= $false )
| ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1644]) ).
thf(1809,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( SV52
!= ( append_char @ SV179 @ SV52 ) )
= $false )
| ( ( SV179 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1810,plain,
! [SV179: list_char] :
( ( ( SV179 != nil_char )
= $false )
| ( ( SV179 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1811,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( SV53
!= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $false )
| ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1812,plain,
! [SV53: list_n282880152tr_b_c,SV180: list_n282880152tr_b_c] :
( ( ( SV180 != nil_no279930520tr_b_c )
= $false )
| ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1813,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( SV53
!= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $false )
| ( ( SV180 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1814,plain,
! [SV180: list_n282880152tr_b_c] :
( ( ( SV180 != nil_no279930520tr_b_c )
= $false )
| ( ( SV180 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1815,plain,
! [SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( SV60 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1816,plain,
! [SV60: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c] :
( ( ( SV268 != SV181 )
= $false )
| ( ( ~ ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1817,plain,
! [SV182: list_char,SV269: list_char,SV61: list_char > list_char > $o] :
( ( ( ! [SY1631: list_char] : ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ SY1631 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) )
| ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1649]) ).
thf(1818,plain,
! [SV183: list_char,SV270: list_n282880152tr_b_c,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1632: list_char] : ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ SY1632 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) )
| ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1650]) ).
thf(1819,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ~ ( is_doc1417632087_j_k_l @ SV184 ) )
= $false )
| ( ( is_doc1417632087_j_k_l @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1820,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) )
= $false )
| ( ( is_doc1417632087_j_k_l @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1821,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ~ ( is_doc1417632087_j_k_l @ SV184 )
| ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV184 )
= none_R1587534007on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1822,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY1085: node_p1234578834tr_b_c,SY1086: list_n282880152tr_b_c] :
( ~ ( ( SY1086 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1086 )
| ( SV185 @ ( append846395565tr_b_c @ SY1086 @ ( cons_n413985352tr_b_c @ SY1085 @ nil_no279930520tr_b_c ) ) ) )
| ( SV185 @ SV64 ) )
= $true )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1653]) ).
thf(1823,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1654]) ).
thf(1824,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1654]) ).
thf(1825,plain,
! [SV272: list_char,SV187: list_char,SV66: list_char > list_char > $o] :
( ( ( ! [SY691: char,SY692: list_char,SY693: list_char] :
( ~ ( SV66 @ SY693 @ SY692 )
| ( SV66 @ ( cons_char @ SY691 @ SY692 ) @ SY693 ) ) )
= $false )
| ( ( SV66 @ SV187 @ SV272 )
= $true )
| ( ( SV66 @ nil_char @ ( sK11_SY690 @ SV272 @ SV187 @ SV66 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1655]) ).
thf(1826,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY696: node_p1234578834tr_b_c,SY697: node_p1234578834tr_b_c,SY698: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY698 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ SY696 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) ) ) ) )
= $true )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1656]) ).
thf(1827,plain,
! [SV273: list_n282880152tr_b_c,SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY702: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY703: node_p1234578834tr_b_c] : ( SV68 @ SY702 @ ( cons_n413985352tr_b_c @ SY703 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SV189 @ SV273 ) )
= $true )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1657]) ).
thf(1828,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY1107: char,SY1108: list_char] :
( ~ ( ( SY1108 != nil_char ) )
| ~ ( SV190 @ SY1108 )
| ( SV190 @ ( cons_char @ SY1107 @ SY1108 ) ) )
| ( SV190 @ SV69 ) )
= $true )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1658]) ).
thf(1829,plain,
! [SV70: list_char] :
( ( ( SV70
= ( append_char @ ( sK13_SY712 @ SV70 ) @ ( cons_char @ ( sK32_SY1599 @ SV70 ) @ nil_char ) ) )
= $true )
| ( ( SV70 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1830,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( ~ ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) ) )
= $true )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1831,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1661]) ).
thf(1832,plain,
! [SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c,SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY1375: node_p1234578834tr_b_c,SY1376: list_n282880152tr_b_c,SY1377: node_p1234578834tr_b_c,SY1378: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1376 )
!= ( size_s2106487044tr_b_c @ SY1378 ) )
| ~ ( SV275 @ SY1376 @ SY1378 )
| ( SV275 @ ( cons_n413985352tr_b_c @ SY1375 @ SY1376 ) @ ( cons_n413985352tr_b_c @ SY1377 @ SY1378 ) ) ) )
= $true )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1662]) ).
thf(1833,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1663]) ).
thf(1834,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1835,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ( ~ ( SV74 @ ( sK58_SY1616 @ SV194 @ SV74 ) )
| ( SV74 @ ( append_char @ ( sK58_SY1616 @ SV194 @ SV74 ) @ ( cons_char @ ( sK33_SY728 @ SV194 @ SV74 ) @ nil_char ) ) ) )
= $false )
| ( ( SV74 @ SV194 )
= $true )
| ( ( SV74 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1665]) ).
thf(1836,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1837,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1838,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( ~ ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) ) )
= $true )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1668]) ).
thf(1839,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1840,plain,
! [SV279: list_n282880152tr_b_c,SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY740: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY741: node_p1234578834tr_b_c,SY742: list_n282880152tr_b_c] :
( ~ ( SV77 @ SY740 @ SY742 )
| ( SV77 @ SY740 @ ( cons_n413985352tr_b_c @ SY741 @ SY742 ) ) ) )
= $false )
| ( ( SV77 @ SV197 @ SV279 )
= $true )
| ( ( SV77 @ ( sK14_SY739 @ SV279 @ SV197 @ SV77 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1841,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $true )
| ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1671]) ).
thf(1842,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $true )
| ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1672]) ).
thf(1843,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
!= SV78 )
= $false )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1673]) ).
thf(1844,plain,
! [SV280: list_char,SV198: char > char > $o,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY747: char > char > $o,SY748: char,SY749: list_char] :
( ~ ( SV79 @ SY747 @ SY749 )
| ( SV79 @ SY747 @ ( cons_char @ SY748 @ SY749 ) ) ) )
= $false )
| ( ( SV79 @ SV198 @ SV280 )
= $true )
| ( ( SV79 @ ( sK15_SY746 @ SV280 @ SV198 @ SV79 ) @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1845,plain,
! [SV80: rObjec1617416918on_j_k] :
( ( SV80
!= ( rObjec1303043984on_j_k @ ( sK1_SY750 @ SV80 ) @ ( rDocum427676485on_j_k @ ( sK4_SY1391 @ SV80 ) @ ( sK6_SY1518 @ SV80 ) @ ( sK16_SY1568 @ SV80 ) @ ( sK34_SY1600 @ SV80 ) @ ( sK60_SY1617 @ SV80 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1675]) ).
thf(1846,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ! [SY759: list_char] : ( SV81 @ SY759 @ nil_char ) )
= $false )
| ( ( ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) )
| ( SV81 @ SV199 @ SV281 ) )
= $true )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1847,plain,
! [SV200: list_char,SV82: list_char > $o] :
( ( ( ~ ! [SY766: char,SY767: char,SY768: list_char] :
( ~ ( ( SY766 != SY767 )
| ( SV82 @ ( cons_char @ SY766 @ SY768 ) ) )
| ~ ( ~ ( ( SY766 != SY767 ) )
| ( SV82 @ ( cons_char @ SY767 @ SY768 ) ) )
| ( SV82 @ ( cons_char @ SY766 @ ( cons_char @ SY767 @ SY768 ) ) ) ) )
= $true )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1677]) ).
thf(1848,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
= $false )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1849,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1850,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( SV83 != nil_no279930520tr_b_c )
= $true )
| ( ( SV201 != nil_no279930520tr_b_c )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1679]) ).
thf(1851,plain,
! [SV85: list_n282880152tr_b_c] :
( ( ( SV85
= ( cons_n413985352tr_b_c @ ( sK18_SY772 @ SV85 ) @ ( sK36_SY1602 @ SV85 ) ) )
= $true )
| ( ( SV85 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1852,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1853,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1682]) ).
thf(1854,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1683]) ).
thf(1855,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1856,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1685]) ).
thf(1857,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1685]) ).
thf(1858,plain,
! [SV285: list_n282880152tr_b_c,SV205: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY786: node_p1234578834tr_b_c,SY787: list_n282880152tr_b_c,SY788: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY788 @ SY787 )
| ( SV89 @ ( cons_n413985352tr_b_c @ SY786 @ SY787 ) @ SY788 ) ) )
= $false )
| ( ( SV89 @ SV205 @ SV285 )
= $true )
| ( ( SV89 @ nil_no279930520tr_b_c @ ( sK19_SY785 @ SV285 @ SV205 @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1859,plain,
! [SV92: option_element_ptr_a] :
( ( ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) )
| ( SV92 != none_element_ptr_a ) )
= $false )
| ( ( SV92
= ( some_element_ptr_a @ ( sK20_SY792 @ SV92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1860,plain,
! [SV92: option_element_ptr_a] :
( ( ( ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) ) )
= $true )
| ( ( SV92 = none_element_ptr_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1861,plain,
! [SV92: option_element_ptr_a] :
( ( ( SV92 = none_element_ptr_a )
= $true )
| ( ( SV92 = none_element_ptr_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1862,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY1160: char,SY1161: list_char] :
( ~ ( ( SY1161 != nil_char ) )
| ~ ( SV207 @ SY1161 )
| ( SV207 @ ( append_char @ SY1161 @ ( cons_char @ SY1160 @ nil_char ) ) ) )
| ( SV207 @ SV93 ) )
= $true )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1690]) ).
thf(1863,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1864,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $false )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1865,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ( ~ ( SV96 @ ( sK62_SY1618 @ SV210 @ SV96 ) )
| ( SV96 @ ( cons_char @ ( sK37_SY803 @ SV210 @ SV96 ) @ ( sK62_SY1618 @ SV210 @ SV96 ) ) ) )
= $false )
| ( ( SV96 @ SV210 )
= $true )
| ( ( SV96 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1692]) ).
thf(1866,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1867,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $false )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1868,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( ~ ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) ) )
= $true )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1694]) ).
thf(1869,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1870,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1696]) ).
thf(1871,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1872,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( SV100
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ ( sK38_SY816 @ SV100 ) ) )
= $true )
| ( ( ~ ! [SY817: node_p1234578834tr_b_c,SY818: list_n282880152tr_b_c,SY819: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SY817 @ SY818 ) @ SY819 ) ) )
= $true )
| ( ( SV100 = nil_li198338206tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1698]) ).
thf(1873,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV101 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1699]) ).
thf(1874,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $false )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1699]) ).
thf(1875,plain,
! [SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ~ ! [SY1619: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SV361 @ SY1619 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1876,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ~ ! [SY824: char,SY825: char,SY826: list_char] :
( ~ ( SV102 @ SY826 )
| ~ ( SV102 @ ( cons_char @ SY825 @ SY826 ) )
| ( SV102 @ ( cons_char @ SY824 @ ( cons_char @ SY825 @ SY826 ) ) ) ) )
= $true )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1701]) ).
thf(1877,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) )
= $false )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1878,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( SV216 @ none_S1393028981on_j_k ) )
= $true )
| ( ( ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1703]) ).
thf(1879,plain,
! [SV105: option2026120038on_j_k] :
( ( ( ~ ( ( SV105 != none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV105 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1704]) ).
thf(1880,plain,
! [SV105: option2026120038on_j_k] :
( ( ( ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $false )
| ( ( SV105 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1704]) ).
thf(1881,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false )
| ( ( ~ ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1705]) ).
thf(1882,plain,
! [SV106: list_char,SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char] :
( ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ~ ( SV324 @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1524: char,SY1525: list_char,SY1526: char,SY1527: list_char,SY1528: char,SY1529: list_char] :
( ( ( size_size_list_char @ SY1525 )
!= ( size_size_list_char @ SY1527 ) )
| ( ( size_size_list_char @ SY1527 )
!= ( size_size_list_char @ SY1529 ) )
| ~ ( SV324 @ SY1525 @ SY1527 @ SY1529 )
| ( SV324 @ ( cons_char @ SY1524 @ SY1525 ) @ ( cons_char @ SY1526 @ SY1527 ) @ ( cons_char @ SY1528 @ SY1529 ) ) )
| ( SV324 @ SV106 @ SV217 @ SV291 ) )
= $true )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1883,plain,
! [SV108: list_char] :
( ( ( SV108
= ( cons_char @ ( sK41_SY844 @ SV108 ) @ nil_char ) )
= $true )
| ( ( ~ ! [SY845: char,SY846: char,SY847: list_char] :
( SV108
!= ( cons_char @ SY845 @ ( cons_char @ SY846 @ SY847 ) ) ) )
= $true )
| ( ( SV108 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1707]) ).
thf(1884,plain,
! [SV109: list_n282880152tr_b_c] :
( ( ( SV109
= ( append846395565tr_b_c @ ( sK22_SY848 @ SV109 ) @ ( cons_n413985352tr_b_c @ ( sK42_SY1603 @ SV109 ) @ nil_no279930520tr_b_c ) ) )
= $true )
| ( ( SV109 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1708]) ).
thf(1885,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY853: list_n282880152tr_b_c] : ( SV110 @ SY853 @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) )
| ( SV110 @ SV219 @ SV292 ) )
= $true )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1886,plain,
! [SV220: list_n282880152tr_b_c,SV293: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1633: list_n282880152tr_b_c] : ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ SY1633 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) )
| ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1710]) ).
thf(1887,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( SV221 @ SV366 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(1888,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1889,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1713]) ).
thf(1890,plain,
! [SV222: rObjec1617416918on_j_k,SV113: rObjec1617416918on_j_k > $o] :
( ( ( ! [SY1634: list_n282880152tr_b_c,SY1635: option2026120038on_j_k] : ( SV113 @ ( rObjec1303043984on_j_k @ ( sK9_SY871 @ SV222 @ SV113 ) @ ( rDocum427676485on_j_k @ ( sK24_SY1572 @ SV222 @ SV113 ) @ ( sK43_SY1604 @ SV222 @ SV113 ) @ ( sK64_SY1620 @ SV222 @ SV113 ) @ SY1634 @ SY1635 ) ) ) )
= $false )
| ( ( SV113 @ SV222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1714]) ).
thf(1891,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
= $false )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1892,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1893,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( SV116 != nil_no279930520tr_b_c )
= $true )
| ( ( SV225 != nil_no279930520tr_b_c )
= $true )
| ( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1894,plain,
! [SV226: list_n282880152tr_b_c,SV117: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY883: node_p1234578834tr_b_c,SY884: node_p1234578834tr_b_c,SY885: list_n282880152tr_b_c] :
( ~ ( ( SY883 != SY884 )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ SY885 ) ) )
| ~ ( ~ ( ( SY883 != SY884 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) ) ) )
= $true )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1717]) ).
thf(1895,plain,
! [SV118: list_list_char] :
( ( ( SV118
= ( cons_list_char @ nil_char @ ( sK45_SY886 @ SV118 ) ) )
= $true )
| ( ( ~ ! [SY887: char,SY888: list_char,SY889: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ SY887 @ SY888 ) @ SY889 ) ) )
= $true )
| ( ( SV118 = nil_list_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1718]) ).
thf(1896,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ( SV227 @ SV367 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(1897,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1898,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1721]) ).
thf(1899,plain,
! [SV120: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ~ ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
| ~ ! [SY1530: node_p1234578834tr_b_c,SY1531: list_n282880152tr_b_c,SY1532: node_p1234578834tr_b_c,SY1533: list_n282880152tr_b_c,SY1534: node_p1234578834tr_b_c,SY1535: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1531 )
!= ( size_s2106487044tr_b_c @ SY1533 ) )
| ( ( size_s2106487044tr_b_c @ SY1533 )
!= ( size_s2106487044tr_b_c @ SY1535 ) )
| ~ ( SV325 @ SY1531 @ SY1533 @ SY1535 )
| ( SV325 @ ( cons_n413985352tr_b_c @ SY1530 @ SY1531 ) @ ( cons_n413985352tr_b_c @ SY1532 @ SY1533 ) @ ( cons_n413985352tr_b_c @ SY1534 @ SY1535 ) ) )
| ( SV325 @ SV120 @ SV228 @ SV295 ) )
= $true )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1900,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
= $false )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1723]) ).
thf(1901,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) )
= $false )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1723]) ).
thf(1902,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( SV121 != nil_char )
= $true )
| ( ( SV229 != nil_char )
= $true )
| ( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1724]) ).
thf(1903,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
= $false )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1725]) ).
thf(1904,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) )
= $false )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1725]) ).
thf(1905,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( SV122 != nil_char )
= $true )
| ( ( SV230 != nil_char )
= $true )
| ( ( ~ ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1726]) ).
thf(1906,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
= $false )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1727]) ).
thf(1907,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) )
= $false )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1727]) ).
thf(1908,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( SV123 != nil_char )
= $true )
| ( ( SV231 != nil_char )
= $true )
| ( ( ~ ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1728]) ).
thf(1909,plain,
! [SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char] :
( ( ( ( size_size_list_char @ SV232 )
!= ( size_size_list_char @ SV296 ) )
= $true )
| ( ( ( ( size_size_list_char @ SV296 )
!= ( size_size_list_char @ SV326 ) )
| ~ ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) )
| ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 ) )
= $true )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1729]) ).
thf(1910,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false )
| ( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1911,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) )
= $false )
| ( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1912,plain,
! [SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ! [SY1636: list_n282880152tr_b_c,SY1637: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SY1636 @ SY1637 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SY1636 ) )
| ( SV343 != SY1637 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(1913,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1914,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(1915,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY1255: node_p1234578834tr_b_c,SY1256: list_n282880152tr_b_c] :
( ~ ( ( SY1256 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1256 )
| ( SV237 @ ( cons_n413985352tr_b_c @ SY1255 @ SY1256 ) ) )
| ( SV237 @ SV129 ) )
= $true )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1734]) ).
thf(1916,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) )
| ( SV130 != none_S1393028981on_j_k ) )
= $false )
| ( ( SV130
= ( some_S1960742641on_j_k @ ( sK25_SY936 @ SV130 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1917,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) ) )
= $true )
| ( ( SV130 = none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1736]) ).
thf(1918,plain,
! [SV130: option2026120038on_j_k] :
( ( ( SV130 = none_S1393028981on_j_k )
= $true )
| ( ( SV130 = none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1737]) ).
thf(1919,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) )
= $false )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1920,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( SV239 @ none_element_ptr_a ) )
= $true )
| ( ( ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1739]) ).
thf(1921,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( ~ ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) ) )
= $true )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1740]) ).
thf(1922,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1923,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV134 @ ( sK66_SY1626 @ SV241 @ SV134 ) )
| ( SV134 @ ( append846395565tr_b_c @ ( sK66_SY1626 @ SV241 @ SV134 ) @ ( cons_n413985352tr_b_c @ ( sK47_SY945 @ SV241 @ SV134 ) @ nil_no279930520tr_b_c ) ) ) )
= $false )
| ( ( SV134 @ SV241 )
= $true )
| ( ( SV134 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1742]) ).
thf(1924,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1925,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1744]) ).
thf(1926,plain,
! [SV137: list_char] :
( ( ( ~ ( ( SV137 != nil_char ) ) )
= $false )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1927,plain,
! [SV137: list_char] :
( ( ( ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $false )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1928,plain,
! [SV364: char,SV137: list_char] :
( ( ( ~ ! [SY1627: list_char] :
( SV137
!= ( cons_char @ SV364 @ SY1627 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1929,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1930,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1931,plain,
! [SV303: list_char,SV244: char > char > $o,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY959: char > char > $o,SY960: char] : ( SV139 @ SY959 @ ( cons_char @ SY960 @ nil_char ) ) )
= $false )
| ( ( ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SV244 @ SV303 ) )
= $true )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1932,plain,
! [SV140: option_element_ptr_a] :
( ( ( ~ ( ( SV140 != none_element_ptr_a ) ) )
= $false )
| ( ( SV140 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1749]) ).
thf(1933,plain,
! [SV140: option_element_ptr_a] :
( ( ( ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $false )
| ( ( SV140 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1749]) ).
thf(1934,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false )
| ( ( ~ ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1935,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV142 @ ( sK67_SY1628 @ SV246 @ SV142 ) )
| ( SV142 @ ( cons_n413985352tr_b_c @ ( sK49_SY969 @ SV246 @ SV142 ) @ ( sK67_SY1628 @ SV246 @ SV142 ) ) ) )
= $false )
| ( ( SV142 @ SV246 )
= $true )
| ( ( SV142 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1752]) ).
thf(1936,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( SV144
= ( cons_n413985352tr_b_c @ ( sK50_SY972 @ SV144 ) @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY973: node_p1234578834tr_b_c,SY974: node_p1234578834tr_b_c,SY975: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY973 @ ( cons_n413985352tr_b_c @ SY974 @ SY975 ) ) ) )
= $true )
| ( ( SV144 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1753]) ).
thf(1937,plain,
! [SV249: list_n282880152tr_b_c,SV304: list_char,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ! [SY1638: list_n282880152tr_b_c] : ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ SY1638 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) )
| ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1755]) ).
thf(1938,plain,
! [SV250: list_char,SV147: list_char,SV305: list_char > list_char > $o] :
( ( ( ~ ! [SY1484: char,SY1485: list_char,SY1486: char,SY1487: list_char] :
( ( ( size_size_list_char @ SY1485 )
!= ( size_size_list_char @ SY1487 ) )
| ~ ( SV305 @ SY1485 @ SY1487 )
| ( SV305 @ ( cons_char @ SY1484 @ SY1485 ) @ ( cons_char @ SY1486 @ SY1487 ) ) ) )
= $true )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(1939,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1758]) ).
thf(1940,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1941,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1942,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1943,plain,
! [SV253: list_char,SV308: list_char,SV151: list_char] :
( ( ( SV151 != nil_char )
= $false )
| ( ( ~ ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1944,plain,
! [SV151: list_char,SV253: list_char,SV308: list_char] :
( ( ( SV308 != SV253 )
= $false )
| ( ( ~ ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1945,plain,
! [SV254: rDocum326988203on_j_k,SV153: rDocum326988203on_j_k > $o] :
( ( ( ! [SY1639: option2026120038on_j_k] : ( SV153 @ ( rDocum427676485on_j_k @ ( sK10_SY1008 @ SV254 @ SV153 ) @ ( sK29_SY1590 @ SV254 @ SV153 ) @ ( sK52_SY1612 @ SV254 @ SV153 ) @ ( sK69_SY1629 @ SV254 @ SV153 ) @ SY1639 ) ) )
= $false )
| ( ( SV153 @ SV254 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1763]) ).
thf(1946,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1764]) ).
thf(1947,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1764]) ).
thf(1948,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( SV156 != nil_no279930520tr_b_c )
= $true )
| ( ( SV256 != nil_no279930520tr_b_c )
= $true )
| ( ( ~ ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1765]) ).
thf(1949,plain,
! [SV157: list_char] :
( ( ( SV157
= ( cons_char @ ( sK30_SY1015 @ SV157 ) @ ( sK53_SY1615 @ SV157 ) ) )
= $true )
| ( ( SV157 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1950,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= $true )
| ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(1951,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( SV1 = SV158 )
= $true )
| ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(1952,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV1 )
= ( cast_D1252964113_h_i_l @ SV158 ) )
= $true )
| ( ( SV1 = SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(1953,plain,
! [SV158: rObjec1617416918on_j_k,SV1: rObjec1617416918on_j_k] :
( ( ( SV1 = SV158 )
= $true )
| ( ( SV1 = SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1954,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= $true )
| ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1955,plain,
! [SV27: rObjec1413572695_j_k_l,SV172: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 )
= $true )
| ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(1956,plain,
! [SV172: rObjec1617416918on_j_k,SV27: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV27 )
= ( some_R67702331on_j_k @ SV172 ) )
= $true )
| ( ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(1957,plain,
! [SV27: rObjec1413572695_j_k_l,SV172: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 )
= $true )
| ( ( ( cast_D1252964113_h_i_l @ SV172 )
= SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1958,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= $true )
| ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1959,plain,
! [SV46: list_char,SV173: list_char] :
( ( ( SV173 = nil_char )
= $true )
| ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1784]) ).
thf(1960,plain,
! [SV173: list_char,SV46: list_char] :
( ( ( ( append_char @ SV46 @ SV173 )
= SV46 )
= $true )
| ( ( SV173 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(1961,plain,
! [SV173: list_char] :
( ( ( SV173 = nil_char )
= $true )
| ( ( SV173 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1786]) ).
thf(1962,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= $true )
| ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1787]) ).
thf(1963,plain,
! [SV47: list_n282880152tr_b_c,SV174: list_n282880152tr_b_c] :
( ( ( SV174 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1788]) ).
thf(1964,plain,
! [SV174: list_n282880152tr_b_c,SV47: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV47 @ SV174 )
= SV47 )
= $true )
| ( ( SV174 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1789]) ).
thf(1965,plain,
! [SV174: list_n282880152tr_b_c] :
( ( ( SV174 = nil_no279930520tr_b_c )
= $true )
| ( ( SV174 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(1966,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= $true )
| ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1791]) ).
thf(1967,plain,
! [SV48: list_char,SV175: list_char] :
( ( ( SV175 = nil_char )
= $true )
| ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(1968,plain,
! [SV175: list_char,SV48: list_char] :
( ( ( SV48
= ( append_char @ SV48 @ SV175 ) )
= $true )
| ( ( SV175 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(1969,plain,
! [SV175: list_char] :
( ( ( SV175 = nil_char )
= $true )
| ( ( SV175 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1794]) ).
thf(1970,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $true )
| ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1795]) ).
thf(1971,plain,
! [SV49: list_n282880152tr_b_c,SV176: list_n282880152tr_b_c] :
( ( ( SV176 = nil_no279930520tr_b_c )
= $true )
| ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1796]) ).
thf(1972,plain,
! [SV176: list_n282880152tr_b_c,SV49: list_n282880152tr_b_c] :
( ( ( SV49
= ( append846395565tr_b_c @ SV49 @ SV176 ) )
= $true )
| ( ( SV176 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(1973,plain,
! [SV176: list_n282880152tr_b_c] :
( ( ( SV176 = nil_no279930520tr_b_c )
= $true )
| ( ( SV176 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1798]) ).
thf(1974,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= $true )
| ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1799]) ).
thf(1975,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( SV50 = nil_char )
= $true )
| ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(1976,plain,
! [SV177: list_char,SV50: list_char] :
( ( ( ( append_char @ SV50 @ SV177 )
= SV177 )
= $true )
| ( ( SV50 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(1977,plain,
! [SV50: list_char] :
( ( ( SV50 = nil_char )
= $true )
| ( ( SV50 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(1978,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= $true )
| ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(1979,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( SV51 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1804]) ).
thf(1980,plain,
! [SV178: list_n282880152tr_b_c,SV51: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV51 @ SV178 )
= SV178 )
= $true )
| ( ( SV51 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1805]) ).
thf(1981,plain,
! [SV51: list_n282880152tr_b_c] :
( ( ( SV51 = nil_no279930520tr_b_c )
= $true )
| ( ( SV51 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1806]) ).
thf(1982,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= $true )
| ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1807]) ).
thf(1983,plain,
! [SV52: list_char,SV179: list_char] :
( ( ( SV179 = nil_char )
= $true )
| ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1808]) ).
thf(1984,plain,
! [SV179: list_char,SV52: list_char] :
( ( ( SV52
= ( append_char @ SV179 @ SV52 ) )
= $true )
| ( ( SV179 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1809]) ).
thf(1985,plain,
! [SV179: list_char] :
( ( ( SV179 = nil_char )
= $true )
| ( ( SV179 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1810]) ).
thf(1986,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $true )
| ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1811]) ).
thf(1987,plain,
! [SV53: list_n282880152tr_b_c,SV180: list_n282880152tr_b_c] :
( ( ( SV180 = nil_no279930520tr_b_c )
= $true )
| ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1988,plain,
! [SV180: list_n282880152tr_b_c,SV53: list_n282880152tr_b_c] :
( ( ( SV53
= ( append846395565tr_b_c @ SV180 @ SV53 ) )
= $true )
| ( ( SV180 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1813]) ).
thf(1989,plain,
! [SV180: list_n282880152tr_b_c] :
( ( ( SV180 = nil_no279930520tr_b_c )
= $true )
| ( ( SV180 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1814]) ).
thf(1990,plain,
! [SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( SV60 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1815]) ).
thf(1991,plain,
! [SV60: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c] :
( ( ( SV268 = SV181 )
= $true )
| ( ( ~ ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1816]) ).
thf(1992,plain,
! [SV182: list_char,SV269: list_char,SV61: list_char > list_char > $o] :
( ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) )
| ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1817]) ).
thf(1993,plain,
! [SV183: list_char,SV270: list_n282880152tr_b_c,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) )
| ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1818]) ).
thf(1994,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( is_doc1417632087_j_k_l @ SV184 )
= $true )
| ( ( is_doc1417632087_j_k_l @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1819]) ).
thf(1995,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k )
= $true )
| ( ( is_doc1417632087_j_k_l @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1820]) ).
thf(1996,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ~ ( is_doc1417632087_j_k_l @ SV184 ) )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV184 )
= none_R1587534007on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1821]) ).
thf(1997,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k ) ) )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV184 )
= none_R1587534007on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1821]) ).
thf(1998,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY1085: node_p1234578834tr_b_c,SY1086: list_n282880152tr_b_c] :
( ~ ( ( SY1086 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1086 )
| ( SV185 @ ( append846395565tr_b_c @ SY1086 @ ( cons_n413985352tr_b_c @ SY1085 @ nil_no279930520tr_b_c ) ) ) ) )
= $true )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1822]) ).
thf(1999,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) )
= $false )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(2000,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( ( SV65 != SV271 )
| ( SV186 != SV320 ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1824]) ).
thf(2001,plain,
! [SV187: list_char,SV272: list_char,SV66: list_char > list_char > $o] :
( ( ( ! [SY1640: list_char,SY1641: list_char] :
( ~ ( SV66 @ SY1641 @ SY1640 )
| ( SV66 @ ( cons_char @ ( sK72_SY691 @ SV272 @ SV187 @ SV66 ) @ SY1640 ) @ SY1641 ) ) )
= $false )
| ( ( SV66 @ SV187 @ SV272 )
= $true )
| ( ( SV66 @ nil_char @ ( sK11_SY690 @ SV272 @ SV187 @ SV66 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1825]) ).
thf(2002,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ! [SY696: node_p1234578834tr_b_c,SY697: node_p1234578834tr_b_c,SY698: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY698 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ SY696 @ ( cons_n413985352tr_b_c @ SY697 @ SY698 ) ) ) ) )
= $false )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(2003,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1642: node_p1234578834tr_b_c] : ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ SY1642 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SV189 @ SV273 ) )
= $true )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1827]) ).
thf(2004,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( ~ ! [SY1107: char,SY1108: list_char] :
( ~ ( ( SY1108 != nil_char ) )
| ~ ( SV190 @ SY1108 )
| ( SV190 @ ( cons_char @ SY1107 @ SY1108 ) ) ) )
= $true )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1828]) ).
thf(2005,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( ( SV274 != none_element_ptr_a )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1830]) ).
thf(2006,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k,SV274: option_element_ptr_a] :
( ( ( SV274 != none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1831]) ).
thf(2007,plain,
! [SV274: option_element_ptr_a,SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o] :
( ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1831]) ).
thf(2008,plain,
! [SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c,SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1375: node_p1234578834tr_b_c,SY1376: list_n282880152tr_b_c,SY1377: node_p1234578834tr_b_c,SY1378: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1376 )
!= ( size_s2106487044tr_b_c @ SY1378 ) )
| ~ ( SV275 @ SY1376 @ SY1378 )
| ( SV275 @ ( cons_n413985352tr_b_c @ SY1375 @ SY1376 ) @ ( cons_n413985352tr_b_c @ SY1377 @ SY1378 ) ) ) )
= $false )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(2009,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) ) )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(2010,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(2011,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) ) )
= $true )
| ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1834]) ).
thf(2012,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ( ~ ( SV74 @ ( sK58_SY1616 @ SV194 @ SV74 ) ) )
= $false )
| ( ( SV74 @ SV194 )
= $true )
| ( ( SV74 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(2013,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ( SV74 @ ( append_char @ ( sK58_SY1616 @ SV194 @ SV74 ) @ ( cons_char @ ( sK33_SY728 @ SV194 @ SV74 ) @ nil_char ) ) )
= $false )
| ( ( SV74 @ SV194 )
= $true )
| ( ( SV74 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(2014,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) ) )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(2015,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(2016,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) ) )
= $true )
| ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1837]) ).
thf(2017,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( ( SV278 != none_S1393028981on_j_k )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(2018,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a,SV278: option2026120038on_j_k] :
( ( ( SV278 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1839]) ).
thf(2019,plain,
! [SV278: option2026120038on_j_k,SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o] :
( ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1839]) ).
thf(2020,plain,
! [SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV279: list_n282880152tr_b_c,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1643: node_p1234578834tr_b_c,SY1644: list_n282880152tr_b_c] :
( ~ ( SV77 @ ( sK74_SY740 @ SV279 @ SV197 @ SV77 ) @ SY1644 )
| ( SV77 @ ( sK74_SY740 @ SV279 @ SV197 @ SV77 ) @ ( cons_n413985352tr_b_c @ SY1643 @ SY1644 ) ) ) )
= $false )
| ( ( SV77 @ SV197 @ SV279 )
= $true )
| ( ( SV77 @ ( sK14_SY739 @ SV279 @ SV197 @ SV77 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1840]) ).
thf(2021,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(2022,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true )
| ( ( ~ ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1843]) ).
thf(2023,plain,
! [SV198: char > char > $o,SV280: list_char,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY1645: char,SY1646: list_char] :
( ~ ( SV79 @ ( sK75_SY747 @ SV280 @ SV198 @ SV79 ) @ SY1646 )
| ( SV79 @ ( sK75_SY747 @ SV280 @ SV198 @ SV79 ) @ ( cons_char @ SY1645 @ SY1646 ) ) ) )
= $false )
| ( ( SV79 @ SV198 @ SV280 )
= $true )
| ( ( SV79 @ ( sK15_SY746 @ SV280 @ SV198 @ SV79 ) @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1844]) ).
thf(2024,plain,
! [SV80: rObjec1617416918on_j_k] :
( ( SV80
= ( rObjec1303043984on_j_k @ ( sK1_SY750 @ SV80 ) @ ( rDocum427676485on_j_k @ ( sK4_SY1391 @ SV80 ) @ ( sK6_SY1518 @ SV80 ) @ ( sK16_SY1568 @ SV80 ) @ ( sK34_SY1600 @ SV80 ) @ ( sK60_SY1617 @ SV80 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1845]) ).
thf(2025,plain,
! [SV199: list_char,SV281: list_char,SV81: list_char > list_char > $o] :
( ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) )
| ( SV81 @ SV199 @ SV281 ) )
= $true )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1846]) ).
thf(2026,plain,
! [SV200: list_char,SV82: list_char > $o] :
( ( ( ! [SY766: char,SY767: char,SY768: list_char] :
( ~ ( ( SY766 != SY767 )
| ( SV82 @ ( cons_char @ SY766 @ SY768 ) ) )
| ~ ( ~ ( ( SY766 != SY767 ) )
| ( SV82 @ ( cons_char @ SY767 @ SY768 ) ) )
| ( SV82 @ ( cons_char @ SY766 @ ( cons_char @ SY767 @ SY768 ) ) ) ) )
= $false )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(2027,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(2028,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(2029,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 != nil_no279930520tr_b_c )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(2030,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) ) )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(2031,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(2032,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) ) )
= $true )
| ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1853]) ).
thf(2033,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) ) )
= $false )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1854]) ).
thf(2034,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1854]) ).
thf(2035,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) ) )
= $true )
| ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1855]) ).
thf(2036,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(2037,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( SV88 != SV284 )
| ( SV204 != SV321 ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1857]) ).
thf(2038,plain,
! [SV205: list_n282880152tr_b_c,SV285: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1647: list_n282880152tr_b_c,SY1648: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY1648 @ SY1647 )
| ( SV89 @ ( cons_n413985352tr_b_c @ ( sK77_SY786 @ SV285 @ SV205 @ SV89 ) @ SY1647 ) @ SY1648 ) ) )
= $false )
| ( ( SV89 @ SV205 @ SV285 )
= $true )
| ( ( SV89 @ nil_no279930520tr_b_c @ ( sK19_SY785 @ SV285 @ SV205 @ SV89 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1858]) ).
thf(2039,plain,
! [SV92: option_element_ptr_a] :
( ( ( ~ ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) ) )
= $false )
| ( ( SV92
= ( some_element_ptr_a @ ( sK20_SY792 @ SV92 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1859]) ).
thf(2040,plain,
! [SV92: option_element_ptr_a] :
( ( ( SV92 != none_element_ptr_a )
= $false )
| ( ( SV92
= ( some_element_ptr_a @ ( sK20_SY792 @ SV92 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1859]) ).
thf(2041,plain,
! [SV369: element_ptr_a,SV92: option_element_ptr_a] :
( ( ( SV92
!= ( some_element_ptr_a @ SV369 ) )
= $true )
| ( ( SV92 = none_element_ptr_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1860]) ).
thf(2042,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( ~ ! [SY1160: char,SY1161: list_char] :
( ~ ( ( SY1161 != nil_char ) )
| ~ ( SV207 @ SY1161 )
| ( SV207 @ ( append_char @ SY1161 @ ( cons_char @ SY1160 @ nil_char ) ) ) ) )
= $true )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1862]) ).
thf(2043,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1863]) ).
thf(2044,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) ) )
= $false )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(2045,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV95: char] :
( ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $false )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(2046,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ( ~ ( SV96 @ ( sK62_SY1618 @ SV210 @ SV96 ) ) )
= $false )
| ( ( SV96 @ SV210 )
= $true )
| ( ( SV96 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(2047,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ( SV96 @ ( cons_char @ ( sK37_SY803 @ SV210 @ SV96 ) @ ( sK62_SY1618 @ SV210 @ SV96 ) ) )
= $false )
| ( ( SV96 @ SV210 )
= $true )
| ( ( SV96 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(2048,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1866]) ).
thf(2049,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) ) )
= $false )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(2050,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $false )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(2051,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( ( SV288 != none_S1393028981on_j_k )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1868]) ).
thf(2052,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k,SV288: option2026120038on_j_k] :
( ( ( SV288 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(2053,plain,
! [SV288: option2026120038on_j_k,SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o] :
( ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(2054,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) ) )
= $false )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(2055,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(2056,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) ) )
= $true )
| ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1871]) ).
thf(2057,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( ! [SY817: node_p1234578834tr_b_c,SY818: list_n282880152tr_b_c,SY819: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ SY817 @ SY818 ) @ SY819 ) ) )
= $false )
| ( ( SV100
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ ( sK38_SY816 @ SV100 ) ) )
= $true )
| ( ( SV100 = nil_li198338206tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1872]) ).
thf(2058,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( SV101 != nil_no279930520tr_b_c )
= $true )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1873]) ).
thf(2059,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $true )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1874]) ).
thf(2060,plain,
! [SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ! [SY1619: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SV361 @ SY1619 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(2061,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ! [SY824: char,SY825: char,SY826: list_char] :
( ~ ( SV102 @ SY826 )
| ~ ( SV102 @ ( cons_char @ SY825 @ SY826 ) )
| ( SV102 @ ( cons_char @ SY824 @ ( cons_char @ SY825 @ SY826 ) ) ) ) )
= $false )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1876]) ).
thf(2062,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 ) )
= $false )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1877]) ).
thf(2063,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) )
= $false )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1877]) ).
thf(2064,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1878]) ).
thf(2065,plain,
! [SV105: option2026120038on_j_k] :
( ( ( SV105 != none_S1393028981on_j_k )
= $true )
| ( ( SV105 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1879]) ).
thf(2066,plain,
! [SV105: option2026120038on_j_k] :
( ( ( ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $true )
| ( ( SV105 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1880]) ).
thf(2067,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( ~ ( ( SV105 != none_S1393028981on_j_k ) )
| ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $false )
| ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(2068,plain,
! [SV291: list_char,SV217: list_char,SV106: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( ~ ( SV324 @ nil_char @ nil_char @ nil_char ) )
= $true )
| ( ( ~ ! [SY1524: char,SY1525: list_char,SY1526: char,SY1527: list_char,SY1528: char,SY1529: list_char] :
( ( ( size_size_list_char @ SY1525 )
!= ( size_size_list_char @ SY1527 ) )
| ( ( size_size_list_char @ SY1527 )
!= ( size_size_list_char @ SY1529 ) )
| ~ ( SV324 @ SY1525 @ SY1527 @ SY1529 )
| ( SV324 @ ( cons_char @ SY1524 @ SY1525 ) @ ( cons_char @ SY1526 @ SY1527 ) @ ( cons_char @ SY1528 @ SY1529 ) ) )
| ( SV324 @ SV106 @ SV217 @ SV291 ) )
= $true )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1882]) ).
thf(2069,plain,
! [SV108: list_char] :
( ( ( ! [SY845: char,SY846: char,SY847: list_char] :
( SV108
!= ( cons_char @ SY845 @ ( cons_char @ SY846 @ SY847 ) ) ) )
= $false )
| ( ( SV108
= ( cons_char @ ( sK41_SY844 @ SV108 ) @ nil_char ) )
= $true )
| ( ( SV108 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(2070,plain,
! [SV219: list_n282880152tr_b_c,SV292: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) )
| ( SV110 @ SV219 @ SV292 ) )
= $true )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1885]) ).
thf(2071,plain,
! [SV220: list_n282880152tr_b_c,SV293: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) )
| ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1886]) ).
thf(2072,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ SV366 )
= $false )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1887]) ).
thf(2073,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(2074,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(2075,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1889]) ).
thf(2076,plain,
! [SV222: rObjec1617416918on_j_k,SV113: rObjec1617416918on_j_k > $o] :
( ( ( ! [SY1649: option2026120038on_j_k] : ( SV113 @ ( rObjec1303043984on_j_k @ ( sK9_SY871 @ SV222 @ SV113 ) @ ( rDocum427676485on_j_k @ ( sK24_SY1572 @ SV222 @ SV113 ) @ ( sK43_SY1604 @ SV222 @ SV113 ) @ ( sK64_SY1620 @ SV222 @ SV113 ) @ ( sK80_SY1634 @ SV222 @ SV113 ) @ SY1649 ) ) ) )
= $false )
| ( ( SV113 @ SV222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1890]) ).
thf(2077,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1891]) ).
thf(2078,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1892]) ).
thf(2079,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 != nil_no279930520tr_b_c )
= $true )
| ( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1893]) ).
thf(2080,plain,
! [SV226: list_n282880152tr_b_c,SV117: list_n282880152tr_b_c > $o] :
( ( ( ! [SY883: node_p1234578834tr_b_c,SY884: node_p1234578834tr_b_c,SY885: list_n282880152tr_b_c] :
( ~ ( ( SY883 != SY884 )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ SY885 ) ) )
| ~ ( ~ ( ( SY883 != SY884 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY883 @ ( cons_n413985352tr_b_c @ SY884 @ SY885 ) ) ) ) )
= $false )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1894]) ).
thf(2081,plain,
! [SV118: list_list_char] :
( ( ( ! [SY887: char,SY888: list_char,SY889: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ SY887 @ SY888 ) @ SY889 ) ) )
= $false )
| ( ( SV118
= ( cons_list_char @ nil_char @ ( sK45_SY886 @ SV118 ) ) )
= $true )
| ( ( SV118 = nil_list_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(2082,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ SV367 )
= $false )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(2083,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1897]) ).
thf(2084,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1897]) ).
thf(2085,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ( SV227 @ ( some_element_ptr_a @ SV371 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1898]) ).
thf(2086,plain,
! [SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c ) )
= $true )
| ( ( ~ ! [SY1530: node_p1234578834tr_b_c,SY1531: list_n282880152tr_b_c,SY1532: node_p1234578834tr_b_c,SY1533: list_n282880152tr_b_c,SY1534: node_p1234578834tr_b_c,SY1535: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1531 )
!= ( size_s2106487044tr_b_c @ SY1533 ) )
| ( ( size_s2106487044tr_b_c @ SY1533 )
!= ( size_s2106487044tr_b_c @ SY1535 ) )
| ~ ( SV325 @ SY1531 @ SY1533 @ SY1535 )
| ( SV325 @ ( cons_n413985352tr_b_c @ SY1530 @ SY1531 ) @ ( cons_n413985352tr_b_c @ SY1532 @ SY1533 ) @ ( cons_n413985352tr_b_c @ SY1534 @ SY1535 ) ) )
| ( SV325 @ SV120 @ SV228 @ SV295 ) )
= $true )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1899]) ).
thf(2087,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $true )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1900]) ).
thf(2088,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) )
= $true )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1901]) ).
thf(2089,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( SV121 = nil_char )
= $false )
| ( ( SV229 != nil_char )
= $true )
| ( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1902]) ).
thf(2090,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $true )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1903]) ).
thf(2091,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) )
= $true )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1904]) ).
thf(2092,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( SV122 = nil_char )
= $false )
| ( ( SV230 != nil_char )
= $true )
| ( ( ~ ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(2093,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $true )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1906]) ).
thf(2094,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) )
= $true )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1907]) ).
thf(2095,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( SV123 = nil_char )
= $false )
| ( ( SV231 != nil_char )
= $true )
| ( ( ~ ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(2096,plain,
! [SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char] :
( ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( ( size_size_list_char @ SV296 )
!= ( size_size_list_char @ SV326 ) )
| ~ ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) )
| ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 ) )
= $true )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(2097,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) )
= $false )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(2098,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( ( SV125 != SV297 )
| ( SV233 != SV327 ) )
= $true )
| ( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1911]) ).
thf(2099,plain,
! [SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ! [SY1650: option2026120038on_j_k] :
( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SY1650 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SY1650 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1912]) ).
thf(2100,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) ) )
= $false )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1913]) ).
thf(2101,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1913]) ).
thf(2102,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) ) )
= $true )
| ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1914]) ).
thf(2103,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY1255: node_p1234578834tr_b_c,SY1256: list_n282880152tr_b_c] :
( ~ ( ( SY1256 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1256 )
| ( SV237 @ ( cons_n413985352tr_b_c @ SY1255 @ SY1256 ) ) ) )
= $true )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1915]) ).
thf(2104,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ~ ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) ) )
= $false )
| ( ( SV130
= ( some_S1960742641on_j_k @ ( sK25_SY936 @ SV130 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1916]) ).
thf(2105,plain,
! [SV130: option2026120038on_j_k] :
( ( ( SV130 != none_S1393028981on_j_k )
= $false )
| ( ( SV130
= ( some_S1960742641on_j_k @ ( sK25_SY936 @ SV130 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1916]) ).
thf(2106,plain,
! [SV373: sum_su1221287958on_j_k,SV130: option2026120038on_j_k] :
( ( ( SV130
!= ( some_S1960742641on_j_k @ SV373 ) )
= $true )
| ( ( SV130 = none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1917]) ).
thf(2107,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 ) )
= $false )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1919]) ).
thf(2108,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) )
= $false )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1919]) ).
thf(2109,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(2110,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( ( SV300 != none_element_ptr_a )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(2111,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a,SV300: option_element_ptr_a] :
( ( ( SV300 != none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1922]) ).
thf(2112,plain,
! [SV300: option_element_ptr_a,SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o] :
( ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1922]) ).
thf(2113,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV134 @ ( sK66_SY1626 @ SV241 @ SV134 ) ) )
= $false )
| ( ( SV134 @ SV241 )
= $true )
| ( ( SV134 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1923]) ).
thf(2114,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ( SV134 @ ( append846395565tr_b_c @ ( sK66_SY1626 @ SV241 @ SV134 ) @ ( cons_n413985352tr_b_c @ ( sK47_SY945 @ SV241 @ SV134 ) @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV134 @ SV241 )
= $true )
| ( ( SV134 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1923]) ).
thf(2115,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) ) )
= $false )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(2116,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(2117,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) ) )
= $true )
| ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1925]) ).
thf(2118,plain,
! [SV137: list_char] :
( ( ( SV137 != nil_char )
= $true )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1926]) ).
thf(2119,plain,
! [SV137: list_char] :
( ( ( ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $true )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(2120,plain,
! [SV364: char,SV137: list_char] :
( ( ( ! [SY1627: list_char] :
( SV137
!= ( cons_char @ SV364 @ SY1627 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1928]) ).
thf(2121,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) )
= $false )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1929]) ).
thf(2122,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(2123,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(2124,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY1651: char] : ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ SY1651 @ nil_char ) ) )
= $false )
| ( ( ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SV244 @ SV303 ) )
= $true )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1931]) ).
thf(2125,plain,
! [SV140: option_element_ptr_a] :
( ( ( SV140 != none_element_ptr_a )
= $true )
| ( ( SV140 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(2126,plain,
! [SV140: option_element_ptr_a] :
( ( ( ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $true )
| ( ( SV140 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1933]) ).
thf(2127,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( ~ ( ( SV140 != none_element_ptr_a ) )
| ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $false )
| ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1934]) ).
thf(2128,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV142 @ ( sK67_SY1628 @ SV246 @ SV142 ) ) )
= $false )
| ( ( SV142 @ SV246 )
= $true )
| ( ( SV142 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(2129,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ( SV142 @ ( cons_n413985352tr_b_c @ ( sK49_SY969 @ SV246 @ SV142 ) @ ( sK67_SY1628 @ SV246 @ SV142 ) ) )
= $false )
| ( ( SV142 @ SV246 )
= $true )
| ( ( SV142 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(2130,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( ! [SY973: node_p1234578834tr_b_c,SY974: node_p1234578834tr_b_c,SY975: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ SY973 @ ( cons_n413985352tr_b_c @ SY974 @ SY975 ) ) ) )
= $false )
| ( ( SV144
= ( cons_n413985352tr_b_c @ ( sK50_SY972 @ SV144 ) @ nil_no279930520tr_b_c ) )
= $true )
| ( ( SV144 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1936]) ).
thf(2131,plain,
! [SV249: list_n282880152tr_b_c,SV304: list_char,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) )
| ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1937]) ).
thf(2132,plain,
! [SV250: list_char,SV147: list_char,SV305: list_char > list_char > $o] :
( ( ( ! [SY1484: char,SY1485: list_char,SY1486: char,SY1487: list_char] :
( ( ( size_size_list_char @ SY1485 )
!= ( size_size_list_char @ SY1487 ) )
| ~ ( SV305 @ SY1485 @ SY1487 )
| ( SV305 @ ( cons_char @ SY1484 @ SY1485 ) @ ( cons_char @ SY1486 @ SY1487 ) ) ) )
= $false )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1938]) ).
thf(2133,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) ) )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(2134,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(2135,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) ) )
= $true )
| ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1940]) ).
thf(2136,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1941]) ).
thf(2137,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2138,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2139,plain,
! [SV253: list_char,SV308: list_char,SV151: list_char] :
( ( ( SV151 = nil_char )
= $true )
| ( ( ~ ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1943]) ).
thf(2140,plain,
! [SV151: list_char,SV253: list_char,SV308: list_char] :
( ( ( SV308 = SV253 )
= $true )
| ( ( ~ ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1944]) ).
thf(2141,plain,
! [SV254: rDocum326988203on_j_k,SV153: rDocum326988203on_j_k > $o] :
( ( ( SV153 @ ( rDocum427676485on_j_k @ ( sK10_SY1008 @ SV254 @ SV153 ) @ ( sK29_SY1590 @ SV254 @ SV153 ) @ ( sK52_SY1612 @ SV254 @ SV153 ) @ ( sK69_SY1629 @ SV254 @ SV153 ) @ ( sK83_SY1639 @ SV254 @ SV153 ) ) )
= $false )
| ( ( SV153 @ SV254 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1945]) ).
thf(2142,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $true )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1946]) ).
thf(2143,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1947]) ).
thf(2144,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 != nil_no279930520tr_b_c )
= $true )
| ( ( ~ ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(2145,plain,
! [SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $false )
| ( ( SV60 = nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1990]) ).
thf(2146,plain,
! [SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ! [SY1343: node_p1234578834tr_b_c,SY1344: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ SY1343 @ SY1344 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ SY1343 @ ( splice1294941035tr_b_c @ SV181 @ SY1344 ) ) ) ) )
= $false )
| ( ( SV268 = SV181 )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1991]) ).
thf(2147,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ~ ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) ) )
= $true )
| ( ( ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1992]) ).
thf(2148,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) ) )
= $true )
| ( ( ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1993]) ).
thf(2149,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV184 )
= none_R1587534007on_j_k )
= $false )
| ( ( is_doc1417632087_j_k_l @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1995]) ).
thf(2150,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( is_doc1417632087_j_k_l @ SV184 )
= $true )
| ( ( ( cast_O1034441233_j_k_l @ SV184 )
= none_R1587534007on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1996]) ).
thf(2151,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV184 )
!= none_R1587534007on_j_k )
= $true )
| ( ( ( cast_O1034441233_j_k_l @ SV184 )
= none_R1587534007on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2152,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1085: node_p1234578834tr_b_c,SY1086: list_n282880152tr_b_c] :
( ~ ( ( SY1086 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1086 )
| ( SV185 @ ( append846395565tr_b_c @ SY1086 @ ( cons_n413985352tr_b_c @ SY1085 @ nil_no279930520tr_b_c ) ) ) ) )
= $false )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1998]) ).
thf(2153,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2154,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) )
= $false )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2155,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( SV65 != SV271 )
= $true )
| ( ( SV186 != SV320 )
= $true )
| ( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2000]) ).
thf(2156,plain,
! [SV272: list_char,SV187: list_char,SV66: list_char > list_char > $o] :
( ( ( ! [SY1652: list_char] :
( ~ ( SV66 @ SY1652 @ ( sK84_SY1640 @ SV187 @ SV272 @ SV66 ) )
| ( SV66 @ ( cons_char @ ( sK72_SY691 @ SV272 @ SV187 @ SV66 ) @ ( sK84_SY1640 @ SV187 @ SV272 @ SV66 ) ) @ SY1652 ) ) )
= $false )
| ( ( SV66 @ SV187 @ SV272 )
= $true )
| ( ( SV66 @ nil_char @ ( sK11_SY690 @ SV272 @ SV187 @ SV66 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2001]) ).
thf(2157,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1653: node_p1234578834tr_b_c,SY1654: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY1654 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ SY1653 @ SY1654 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ ( sK85_SY696 @ SV188 @ SV67 ) @ ( cons_n413985352tr_b_c @ SY1653 @ SY1654 ) ) ) ) )
= $false )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2002]) ).
thf(2158,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) )
| ( SV68 @ SV189 @ SV273 ) )
= $true )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2003]) ).
thf(2159,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( ! [SY1107: char,SY1108: list_char] :
( ~ ( ( SY1108 != nil_char ) )
| ~ ( SV190 @ SY1108 )
| ( SV190 @ ( cons_char @ SY1107 @ SY1108 ) ) ) )
= $false )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2004]) ).
thf(2160,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k,SV274: option_element_ptr_a] :
( ( ( SV274 != none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2005]) ).
thf(2161,plain,
! [SV274: option_element_ptr_a,SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o] :
( ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2005]) ).
thf(2162,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k,SV274: option_element_ptr_a] :
( ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2006]) ).
thf(2163,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2007]) ).
thf(2164,plain,
! [SV72: list_n282880152tr_b_c,SV192: list_n282880152tr_b_c,SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1655: list_n282880152tr_b_c,SY1656: node_p1234578834tr_b_c,SY1657: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1655 )
!= ( size_s2106487044tr_b_c @ SY1657 ) )
| ~ ( SV275 @ SY1655 @ SY1657 )
| ( SV275 @ ( cons_n413985352tr_b_c @ ( sK87_SY1375 @ SV192 @ SV72 @ SV275 ) @ SY1655 ) @ ( cons_n413985352tr_b_c @ SY1656 @ SY1657 ) ) ) )
= $false )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2008]) ).
thf(2165,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2009]) ).
thf(2166,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2010]) ).
thf(2167,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $false )
| ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2011]) ).
thf(2168,plain,
! [SV194: list_char,SV74: list_char > $o] :
( ( ( SV74 @ ( sK58_SY1616 @ SV194 @ SV74 ) )
= $true )
| ( ( SV74 @ SV194 )
= $true )
| ( ( SV74 @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2169,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2014]) ).
thf(2170,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2171,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
= $false )
| ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2016]) ).
thf(2172,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a,SV278: option2026120038on_j_k] :
( ( ( SV278 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2017]) ).
thf(2173,plain,
! [SV278: option2026120038on_j_k,SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o] :
( ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2017]) ).
thf(2174,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a,SV278: option2026120038on_j_k] :
( ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2175,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2019]) ).
thf(2176,plain,
! [SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV279: list_n282880152tr_b_c,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1658: list_n282880152tr_b_c] :
( ~ ( SV77 @ ( sK74_SY740 @ SV279 @ SV197 @ SV77 ) @ SY1658 )
| ( SV77 @ ( sK74_SY740 @ SV279 @ SV197 @ SV77 ) @ ( cons_n413985352tr_b_c @ ( sK88_SY1643 @ SV197 @ SV279 @ SV77 ) @ SY1658 ) ) ) )
= $false )
| ( ( SV77 @ SV197 @ SV279 )
= $true )
| ( ( SV77 @ ( sK14_SY739 @ SV279 @ SV197 @ SV77 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2020]) ).
thf(2177,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $true )
| ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2021]) ).
thf(2178,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
| ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2022]) ).
thf(2179,plain,
! [SV198: char > char > $o,SV280: list_char,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY1659: list_char] :
( ~ ( SV79 @ ( sK75_SY747 @ SV280 @ SV198 @ SV79 ) @ SY1659 )
| ( SV79 @ ( sK75_SY747 @ SV280 @ SV198 @ SV79 ) @ ( cons_char @ ( sK89_SY1645 @ SV198 @ SV280 @ SV79 ) @ SY1659 ) ) ) )
= $false )
| ( ( SV79 @ SV198 @ SV280 )
= $true )
| ( ( SV79 @ ( sK15_SY746 @ SV280 @ SV198 @ SV79 ) @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2023]) ).
thf(2180,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ~ ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) ) )
= $true )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2025]) ).
thf(2181,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ! [SY1660: char,SY1661: list_char] :
( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= SY1660 )
| ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ SY1661 ) ) )
| ~ ( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= SY1660 ) )
| ( SV82 @ ( cons_char @ SY1660 @ SY1661 ) ) )
| ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( cons_char @ SY1660 @ SY1661 ) ) ) ) )
= $false )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2026]) ).
thf(2182,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2028]) ).
thf(2183,plain,
! [SV83: list_n282880152tr_b_c,SV201: list_n282880152tr_b_c] :
( ( ( SV201 = nil_no279930520tr_b_c )
= $false )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2029]) ).
thf(2184,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2030]) ).
thf(2185,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2031]) ).
thf(2186,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
= $false )
| ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2032]) ).
thf(2187,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $true )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2033]) ).
thf(2188,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $true )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2189,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
= $false )
| ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2035]) ).
thf(2190,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2036]) ).
thf(2191,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2036]) ).
thf(2192,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( SV88 != SV284 )
= $true )
| ( ( SV204 != SV321 )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2037]) ).
thf(2193,plain,
! [SV285: list_n282880152tr_b_c,SV205: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1662: list_n282880152tr_b_c] :
( ~ ( SV89 @ SY1662 @ ( sK91_SY1647 @ SV205 @ SV285 @ SV89 ) )
| ( SV89 @ ( cons_n413985352tr_b_c @ ( sK77_SY786 @ SV285 @ SV205 @ SV89 ) @ ( sK91_SY1647 @ SV205 @ SV285 @ SV89 ) ) @ SY1662 ) ) )
= $false )
| ( ( SV89 @ SV205 @ SV285 )
= $true )
| ( ( SV89 @ nil_no279930520tr_b_c @ ( sK19_SY785 @ SV285 @ SV205 @ SV89 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2038]) ).
thf(2194,plain,
! [SV92: option_element_ptr_a] :
( ( ( ! [SY792: element_ptr_a] :
( SV92
!= ( some_element_ptr_a @ SY792 ) ) )
= $true )
| ( ( SV92
= ( some_element_ptr_a @ ( sK20_SY792 @ SV92 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2039]) ).
thf(2195,plain,
! [SV92: option_element_ptr_a] :
( ( ( SV92 = none_element_ptr_a )
= $true )
| ( ( SV92
= ( some_element_ptr_a @ ( sK20_SY792 @ SV92 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2040]) ).
thf(2196,plain,
! [SV369: element_ptr_a,SV92: option_element_ptr_a] :
( ( ( SV92
= ( some_element_ptr_a @ SV369 ) )
= $false )
| ( ( SV92 = none_element_ptr_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2041]) ).
thf(2197,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( ! [SY1160: char,SY1161: list_char] :
( ~ ( ( SY1161 != nil_char ) )
| ~ ( SV207 @ SY1161 )
| ( SV207 @ ( append_char @ SY1161 @ ( cons_char @ SY1160 @ nil_char ) ) ) ) )
= $false )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2042]) ).
thf(2198,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2043]) ).
thf(2199,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2043]) ).
thf(2200,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
= $true )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2044]) ).
thf(2201,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV95: char] :
( ( ( ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2045]) ).
thf(2202,plain,
! [SV210: list_char,SV96: list_char > $o] :
( ( ( SV96 @ ( sK62_SY1618 @ SV210 @ SV96 ) )
= $true )
| ( ( SV96 @ SV210 )
= $true )
| ( ( SV96 @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2046]) ).
thf(2203,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2048]) ).
thf(2204,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2048]) ).
thf(2205,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
= $true )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2049]) ).
thf(2206,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2050]) ).
thf(2207,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k,SV288: option2026120038on_j_k] :
( ( ( SV288 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2051]) ).
thf(2208,plain,
! [SV288: option2026120038on_j_k,SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o] :
( ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2051]) ).
thf(2209,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k,SV288: option2026120038on_j_k] :
( ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2052]) ).
thf(2210,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2053]) ).
thf(2211,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $true )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2054]) ).
thf(2212,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $true )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2055]) ).
thf(2213,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
= $false )
| ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2056]) ).
thf(2214,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( ! [SY1663: list_n282880152tr_b_c,SY1664: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ ( sK92_SY817 @ SV100 ) @ SY1663 ) @ SY1664 ) ) )
= $false )
| ( ( SV100
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ ( sK38_SY816 @ SV100 ) ) )
= $true )
| ( ( SV100 = nil_li198338206tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2057]) ).
thf(2215,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( SV101 = nil_no279930520tr_b_c )
= $false )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2216,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $false )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2059]) ).
thf(2217,plain,
! [SV374: list_n282880152tr_b_c,SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( SV101
!= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $true )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2060]) ).
thf(2218,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ! [SY1665: char,SY1666: list_char] :
( ~ ( SV102 @ SY1666 )
| ~ ( SV102 @ ( cons_char @ SY1665 @ SY1666 ) )
| ( SV102 @ ( cons_char @ ( sK93_SY824 @ SV214 @ SV102 ) @ ( cons_char @ SY1665 @ SY1666 ) ) ) ) )
= $false )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2061]) ).
thf(2219,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 ) )
= $true )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2062]) ).
thf(2220,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) )
= $true )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2063]) ).
thf(2221,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $false )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2222,plain,
! [SV105: option2026120038on_j_k] :
( ( ( SV105 = none_S1393028981on_j_k )
= $false )
| ( ( SV105 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2065]) ).
thf(2223,plain,
! [SV105: option2026120038on_j_k] :
( ( ( ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $false )
| ( ( SV105 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2066]) ).
thf(2224,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( ~ ( ( SV105 != none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2067]) ).
thf(2225,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( ~ ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $false )
| ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2067]) ).
thf(2226,plain,
! [SV291: list_char,SV217: list_char,SV106: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ~ ! [SY1524: char,SY1525: list_char,SY1526: char,SY1527: list_char,SY1528: char,SY1529: list_char] :
( ( ( size_size_list_char @ SY1525 )
!= ( size_size_list_char @ SY1527 ) )
| ( ( size_size_list_char @ SY1527 )
!= ( size_size_list_char @ SY1529 ) )
| ~ ( SV324 @ SY1525 @ SY1527 @ SY1529 )
| ( SV324 @ ( cons_char @ SY1524 @ SY1525 ) @ ( cons_char @ SY1526 @ SY1527 ) @ ( cons_char @ SY1528 @ SY1529 ) ) )
| ( SV324 @ SV106 @ SV217 @ SV291 ) )
= $true )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2068]) ).
thf(2227,plain,
! [SV108: list_char] :
( ( ( ! [SY1667: char,SY1668: list_char] :
( SV108
!= ( cons_char @ ( sK94_SY845 @ SV108 ) @ ( cons_char @ SY1667 @ SY1668 ) ) ) )
= $false )
| ( ( SV108
= ( cons_char @ ( sK41_SY844 @ SV108 ) @ nil_char ) )
= $true )
| ( ( SV108 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2069]) ).
thf(2228,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) ) )
= $true )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2070]) ).
thf(2229,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) ) )
= $true )
| ( ( ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2071]) ).
thf(2230,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) )
= $false )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2072]) ).
thf(2231,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2073]) ).
thf(2232,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2074]) ).
thf(2233,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2075]) ).
thf(2234,plain,
! [SV222: rObjec1617416918on_j_k,SV113: rObjec1617416918on_j_k > $o] :
( ( ( SV113 @ ( rObjec1303043984on_j_k @ ( sK9_SY871 @ SV222 @ SV113 ) @ ( rDocum427676485on_j_k @ ( sK24_SY1572 @ SV222 @ SV113 ) @ ( sK43_SY1604 @ SV222 @ SV113 ) @ ( sK64_SY1620 @ SV222 @ SV113 ) @ ( sK80_SY1634 @ SV222 @ SV113 ) @ ( sK95_SY1649 @ SV222 @ SV113 ) ) ) )
= $false )
| ( ( SV113 @ SV222 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2076]) ).
thf(2235,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) )
= $false )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2078]) ).
thf(2236,plain,
! [SV116: list_n282880152tr_b_c,SV225: list_n282880152tr_b_c] :
( ( ( SV225 = nil_no279930520tr_b_c )
= $false )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2079]) ).
thf(2237,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ! [SY1669: node_p1234578834tr_b_c,SY1670: list_n282880152tr_b_c] :
( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= SY1669 )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ SY1670 ) ) )
| ~ ( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= SY1669 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ SY1669 @ SY1670 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( cons_n413985352tr_b_c @ SY1669 @ SY1670 ) ) ) ) )
= $false )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2080]) ).
thf(2238,plain,
! [SV118: list_list_char] :
( ( ( ! [SY1671: list_char,SY1672: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ ( sK97_SY887 @ SV118 ) @ SY1671 ) @ SY1672 ) ) )
= $false )
| ( ( SV118
= ( cons_list_char @ nil_char @ ( sK45_SY886 @ SV118 ) ) )
= $true )
| ( ( SV118 = nil_list_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2081]) ).
thf(2239,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) )
= $false )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2082]) ).
thf(2240,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2083]) ).
thf(2241,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2084]) ).
thf(2242,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2085]) ).
thf(2243,plain,
! [SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1530: node_p1234578834tr_b_c,SY1531: list_n282880152tr_b_c,SY1532: node_p1234578834tr_b_c,SY1533: list_n282880152tr_b_c,SY1534: node_p1234578834tr_b_c,SY1535: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1531 )
!= ( size_s2106487044tr_b_c @ SY1533 ) )
| ( ( size_s2106487044tr_b_c @ SY1533 )
!= ( size_s2106487044tr_b_c @ SY1535 ) )
| ~ ( SV325 @ SY1531 @ SY1533 @ SY1535 )
| ( SV325 @ ( cons_n413985352tr_b_c @ SY1530 @ SY1531 ) @ ( cons_n413985352tr_b_c @ SY1532 @ SY1533 ) @ ( cons_n413985352tr_b_c @ SY1534 @ SY1535 ) ) )
| ( SV325 @ SV120 @ SV228 @ SV295 ) )
= $true )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2086]) ).
thf(2244,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( SV121 != nil_char )
| ( SV229 != nil_char ) )
= $false )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2088]) ).
thf(2245,plain,
! [SV121: list_char,SV229: list_char] :
( ( ( SV229 = nil_char )
= $false )
| ( ( SV121 = nil_char )
= $false )
| ( ( ~ ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2089]) ).
thf(2246,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ( SV122 != nil_char )
| ( SV230 != nil_char ) )
= $false )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2247,plain,
! [SV122: list_char,SV230: list_char] :
( ( ( SV230 = nil_char )
= $false )
| ( ( SV122 = nil_char )
= $false )
| ( ( ~ ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2092]) ).
thf(2248,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( SV123 != nil_char )
| ( SV231 != nil_char ) )
= $false )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2094]) ).
thf(2249,plain,
! [SV123: list_char,SV231: list_char] :
( ( ( SV231 = nil_char )
= $false )
| ( ( SV123 = nil_char )
= $false )
| ( ( ~ ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2095]) ).
thf(2250,plain,
! [SV232: list_char,SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char] :
( ( ( ( size_size_list_char @ SV296 )
!= ( size_size_list_char @ SV326 ) )
= $true )
| ( ( ~ ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) )
| ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 ) )
= $true )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2096]) ).
thf(2251,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2097]) ).
thf(2252,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) )
= $false )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2097]) ).
thf(2253,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( SV125 != SV297 )
= $true )
| ( ( SV233 != SV327 )
= $true )
| ( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2098]) ).
thf(2254,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2099]) ).
thf(2255,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $true )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2100]) ).
thf(2256,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $true )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2101]) ).
thf(2257,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
= $false )
| ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2102]) ).
thf(2258,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1255: node_p1234578834tr_b_c,SY1256: list_n282880152tr_b_c] :
( ~ ( ( SY1256 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1256 )
| ( SV237 @ ( cons_n413985352tr_b_c @ SY1255 @ SY1256 ) ) ) )
= $false )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2103]) ).
thf(2259,plain,
! [SV130: option2026120038on_j_k] :
( ( ( ! [SY936: sum_su1221287958on_j_k] :
( SV130
!= ( some_S1960742641on_j_k @ SY936 ) ) )
= $true )
| ( ( SV130
= ( some_S1960742641on_j_k @ ( sK25_SY936 @ SV130 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2104]) ).
thf(2260,plain,
! [SV130: option2026120038on_j_k] :
( ( ( SV130 = none_S1393028981on_j_k )
= $true )
| ( ( SV130
= ( some_S1960742641on_j_k @ ( sK25_SY936 @ SV130 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2105]) ).
thf(2261,plain,
! [SV373: sum_su1221287958on_j_k,SV130: option2026120038on_j_k] :
( ( ( SV130
= ( some_S1960742641on_j_k @ SV373 ) )
= $false )
| ( ( SV130 = none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2262,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 ) )
= $true )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2107]) ).
thf(2263,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) )
= $true )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2108]) ).
thf(2264,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $false )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2109]) ).
thf(2265,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a,SV300: option_element_ptr_a] :
( ( ( SV300 != none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2110]) ).
thf(2266,plain,
! [SV300: option_element_ptr_a,SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o] :
( ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2110]) ).
thf(2267,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a,SV300: option_element_ptr_a] :
( ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2111]) ).
thf(2268,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2112]) ).
thf(2269,plain,
! [SV241: list_n282880152tr_b_c,SV134: list_n282880152tr_b_c > $o] :
( ( ( SV134 @ ( sK66_SY1626 @ SV241 @ SV134 ) )
= $true )
| ( ( SV134 @ SV241 )
= $true )
| ( ( SV134 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2113]) ).
thf(2270,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $true )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2115]) ).
thf(2271,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $true )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2116]) ).
thf(2272,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
= $false )
| ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2273,plain,
! [SV137: list_char] :
( ( ( SV137 = nil_char )
= $false )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2274,plain,
! [SV137: list_char] :
( ( ( ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $false )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2119]) ).
thf(2275,plain,
! [SV376: list_char,SV364: char,SV137: list_char] :
( ( ( SV137
!= ( cons_char @ SV364 @ SV376 ) )
= $true )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2120]) ).
thf(2276,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
= $false )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2277,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) )
= $false )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2278,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2122]) ).
thf(2279,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2123]) ).
thf(2280,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) )
| ( SV139 @ SV244 @ SV303 ) )
= $true )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2124]) ).
thf(2281,plain,
! [SV140: option_element_ptr_a] :
( ( ( SV140 = none_element_ptr_a )
= $false )
| ( ( SV140 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2125]) ).
thf(2282,plain,
! [SV140: option_element_ptr_a] :
( ( ( ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $false )
| ( ( SV140 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2283,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( ~ ( ( SV140 != none_element_ptr_a ) ) )
= $false )
| ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2284,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( ~ ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $false )
| ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2285,plain,
! [SV246: list_n282880152tr_b_c,SV142: list_n282880152tr_b_c > $o] :
( ( ( SV142 @ ( sK67_SY1628 @ SV246 @ SV142 ) )
= $true )
| ( ( SV142 @ SV246 )
= $true )
| ( ( SV142 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2128]) ).
thf(2286,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( ! [SY1673: node_p1234578834tr_b_c,SY1674: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ ( sK99_SY973 @ SV144 ) @ ( cons_n413985352tr_b_c @ SY1673 @ SY1674 ) ) ) )
= $false )
| ( ( SV144
= ( cons_n413985352tr_b_c @ ( sK50_SY972 @ SV144 ) @ nil_no279930520tr_b_c ) )
= $true )
| ( ( SV144 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2130]) ).
thf(2287,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ~ ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) ) )
= $true )
| ( ( ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2131]) ).
thf(2288,plain,
! [SV147: list_char,SV250: list_char,SV305: list_char > list_char > $o] :
( ( ( ! [SY1675: list_char,SY1676: char,SY1677: list_char] :
( ( ( size_size_list_char @ SY1675 )
!= ( size_size_list_char @ SY1677 ) )
| ~ ( SV305 @ SY1675 @ SY1677 )
| ( SV305 @ ( cons_char @ ( sK100_SY1484 @ SV250 @ SV147 @ SV305 ) @ SY1675 ) @ ( cons_char @ SY1676 @ SY1677 ) ) ) )
= $false )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2132]) ).
thf(2289,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2133]) ).
thf(2290,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2134]) ).
thf(2291,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $false )
| ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2135]) ).
thf(2292,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2136]) ).
thf(2293,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2136]) ).
thf(2294,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2137]) ).
thf(2295,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2138]) ).
thf(2296,plain,
! [SV253: list_char,SV308: list_char,SV151: list_char] :
( ( ( ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $false )
| ( ( SV151 = nil_char )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2139]) ).
thf(2297,plain,
! [SV253: list_char,SV308: list_char,SV151: list_char] :
( ( ( ! [SY1491: char,SY1492: list_char] :
( ( SV151
!= ( cons_char @ SY1491 @ SY1492 ) )
| ( SV308
!= ( cons_char @ SY1491 @ ( splice_char @ SV253 @ SY1492 ) ) ) ) )
= $false )
| ( ( SV308 = SV253 )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2140]) ).
thf(2298,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) )
= $false )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2143]) ).
thf(2299,plain,
! [SV156: list_n282880152tr_b_c,SV256: list_n282880152tr_b_c] :
( ( ( SV256 = nil_no279930520tr_b_c )
= $false )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2144]) ).
thf(2300,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ! [SY1678: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ ( sK101_SY1343 @ SV181 @ SV268 @ SV60 ) @ SY1678 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ ( sK101_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( splice1294941035tr_b_c @ SV181 @ SY1678 ) ) ) ) )
= $false )
| ( ( SV60 = nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2145]) ).
thf(2301,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ! [SY1679: list_n282880152tr_b_c] :
( ( SV60
!= ( cons_n413985352tr_b_c @ ( sK102_SY1343 @ SV181 @ SV268 @ SV60 ) @ SY1679 ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ ( sK102_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( splice1294941035tr_b_c @ SV181 @ SY1679 ) ) ) ) )
= $false )
| ( ( SV268 = SV181 )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2146]) ).
thf(2302,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ! [SY665: char,SY666: list_char] : ( SV61 @ nil_char @ ( cons_char @ SY665 @ SY666 ) ) )
= $false )
| ( ( ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2147]) ).
thf(2303,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ! [SY675: node_p1234578834tr_b_c,SY676: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ SY675 @ SY676 ) ) )
= $false )
| ( ( ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2148]) ).
thf(2304,plain,
! [SV184: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV184 )
= none_R1587534007on_j_k )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV184 )
= none_R1587534007on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2151]) ).
thf(2305,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1680: list_n282880152tr_b_c] :
( ~ ( ( SY1680 != nil_no279930520tr_b_c ) )
| ~ ( SV185 @ SY1680 )
| ( SV185 @ ( append846395565tr_b_c @ SY1680 @ ( cons_n413985352tr_b_c @ ( sK103_SY1085 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) ) ) ) )
= $false )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2152]) ).
thf(2306,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $true )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2153]) ).
thf(2307,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) )
= $true )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2154]) ).
thf(2308,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( SV65 = SV271 )
= $false )
| ( ( SV186 != SV320 )
= $true )
| ( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2155]) ).
thf(2309,plain,
! [SV187: list_char,SV272: list_char,SV66: list_char > list_char > $o] :
( ( ( ~ ( SV66 @ ( sK104_SY1652 @ SV272 @ SV187 @ SV66 ) @ ( sK84_SY1640 @ SV187 @ SV272 @ SV66 ) )
| ( SV66 @ ( cons_char @ ( sK72_SY691 @ SV272 @ SV187 @ SV66 ) @ ( sK84_SY1640 @ SV187 @ SV272 @ SV66 ) ) @ ( sK104_SY1652 @ SV272 @ SV187 @ SV66 ) ) )
= $false )
| ( ( SV66 @ SV187 @ SV272 )
= $true )
| ( ( SV66 @ nil_char @ ( sK11_SY690 @ SV272 @ SV187 @ SV66 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2156]) ).
thf(2310,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1681: list_n282880152tr_b_c] :
( ~ ( SV67 @ SY1681 )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ ( sK105_SY1653 @ SV188 @ SV67 ) @ SY1681 ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ ( sK85_SY696 @ SV188 @ SV67 ) @ ( cons_n413985352tr_b_c @ ( sK105_SY1653 @ SV188 @ SV67 ) @ SY1681 ) ) ) ) )
= $false )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2157]) ).
thf(2311,plain,
! [SV273: list_n282880152tr_b_c,SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) ) )
= $true )
| ( ( SV68 @ SV189 @ SV273 )
= $true )
| ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2312,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( ! [SY1682: list_char] :
( ~ ( ( SY1682 != nil_char ) )
| ~ ( SV190 @ SY1682 )
| ( SV190 @ ( cons_char @ ( sK106_SY1107 @ SV69 @ SV190 ) @ SY1682 ) ) ) )
= $false )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2159]) ).
thf(2313,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k,SV274: option_element_ptr_a] :
( ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) )
| ( SV191 @ SV71 @ SV274 ) )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2160]) ).
thf(2314,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2161]) ).
thf(2315,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2162]) ).
thf(2316,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2163]) ).
thf(2317,plain,
! [SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c] :
( ( ( ! [SY1683: node_p1234578834tr_b_c,SY1684: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) )
!= ( size_s2106487044tr_b_c @ SY1684 ) )
| ~ ( SV275 @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) @ SY1684 )
| ( SV275 @ ( cons_n413985352tr_b_c @ ( sK87_SY1375 @ SV192 @ SV72 @ SV275 ) @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) ) @ ( cons_n413985352tr_b_c @ SY1683 @ SY1684 ) ) ) )
= $false )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2164]) ).
thf(2318,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2166]) ).
thf(2319,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 != none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2167]) ).
thf(2320,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $false )
| ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2167]) ).
thf(2321,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2170]) ).
thf(2322,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2171]) ).
thf(2323,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $false )
| ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2171]) ).
thf(2324,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a,SV278: option2026120038on_j_k] :
( ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) )
| ( SV196 @ SV76 @ SV278 ) )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2172]) ).
thf(2325,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2173]) ).
thf(2326,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2174]) ).
thf(2327,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2175]) ).
thf(2328,plain,
! [SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV279: list_n282880152tr_b_c,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV77 @ ( sK74_SY740 @ SV279 @ SV197 @ SV77 ) @ ( sK108_SY1658 @ SV197 @ SV279 @ SV77 ) )
| ( SV77 @ ( sK74_SY740 @ SV279 @ SV197 @ SV77 ) @ ( cons_n413985352tr_b_c @ ( sK88_SY1643 @ SV197 @ SV279 @ SV77 ) @ ( sK108_SY1658 @ SV197 @ SV279 @ SV77 ) ) ) )
= $false )
| ( ( SV77 @ SV197 @ SV279 )
= $true )
| ( ( SV77 @ ( sK14_SY739 @ SV279 @ SV197 @ SV77 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2176]) ).
thf(2329,plain,
! [SV78: rObjec1413572695_j_k_l,SV377: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV377 )
!= SV78 )
= $true )
| ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2330,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV78 )
!= none_R1587534007on_j_k )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2331,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ~ ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2332,plain,
! [SV198: char > char > $o,SV280: list_char,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( ~ ( SV79 @ ( sK75_SY747 @ SV280 @ SV198 @ SV79 ) @ ( sK109_SY1659 @ SV198 @ SV280 @ SV79 ) )
| ( SV79 @ ( sK75_SY747 @ SV280 @ SV198 @ SV79 ) @ ( cons_char @ ( sK89_SY1645 @ SV198 @ SV280 @ SV79 ) @ ( sK109_SY1659 @ SV198 @ SV280 @ SV79 ) ) ) )
= $false )
| ( ( SV79 @ SV198 @ SV280 )
= $true )
| ( ( SV79 @ ( sK15_SY746 @ SV280 @ SV198 @ SV79 ) @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2179]) ).
thf(2333,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ! [SY760: char,SY761: list_char,SY762: char,SY763: list_char] :
( ~ ( SV81 @ SY761 @ ( cons_char @ SY762 @ SY763 ) )
| ~ ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ SY763 )
| ( SV81 @ ( cons_char @ SY760 @ SY761 ) @ ( cons_char @ SY762 @ SY763 ) ) ) )
= $false )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2180]) ).
thf(2334,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ! [SY1685: list_char] :
( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) )
| ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ SY1685 ) ) )
| ~ ( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) ) )
| ( SV82 @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ SY1685 ) ) )
| ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ SY1685 ) ) ) ) )
= $false )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2181]) ).
thf(2335,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( SV83 != nil_no279930520tr_b_c )
= $false )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2336,plain,
! [SV83: list_n282880152tr_b_c,SV201: list_n282880152tr_b_c] :
( ( ( SV201 != nil_no279930520tr_b_c )
= $false )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2337,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2183]) ).
thf(2338,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2185]) ).
thf(2339,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 != none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2340,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $false )
| ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2341,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2188]) ).
thf(2342,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 != none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2189]) ).
thf(2343,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2189]) ).
thf(2344,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2190]) ).
thf(2345,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2191]) ).
thf(2346,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( SV88 = SV284 )
= $false )
| ( ( SV204 != SV321 )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2192]) ).
thf(2347,plain,
! [SV205: list_n282880152tr_b_c,SV285: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV89 @ ( sK111_SY1662 @ SV285 @ SV205 @ SV89 ) @ ( sK91_SY1647 @ SV205 @ SV285 @ SV89 ) )
| ( SV89 @ ( cons_n413985352tr_b_c @ ( sK77_SY786 @ SV285 @ SV205 @ SV89 ) @ ( sK91_SY1647 @ SV205 @ SV285 @ SV89 ) ) @ ( sK111_SY1662 @ SV285 @ SV205 @ SV89 ) ) )
= $false )
| ( ( SV89 @ SV205 @ SV285 )
= $true )
| ( ( SV89 @ nil_no279930520tr_b_c @ ( sK19_SY785 @ SV285 @ SV205 @ SV89 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2193]) ).
thf(2348,plain,
! [SV378: element_ptr_a,SV92: option_element_ptr_a] :
( ( ( SV92
!= ( some_element_ptr_a @ SV378 ) )
= $true )
| ( ( SV92
= ( some_element_ptr_a @ ( sK20_SY792 @ SV92 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2349,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( ! [SY1686: list_char] :
( ~ ( ( SY1686 != nil_char ) )
| ~ ( SV207 @ SY1686 )
| ( SV207 @ ( append_char @ SY1686 @ ( cons_char @ ( sK112_SY1160 @ SV93 @ SV207 ) @ nil_char ) ) ) ) )
= $false )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2197]) ).
thf(2350,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2198]) ).
thf(2351,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2199]) ).
thf(2352,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( SV286 != nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
!= SV322 )
= $true )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2200]) ).
thf(2353,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV379: list_char,SV95: char] :
( ( ( ~ ~ ( ( ( cons_char @ SV95 @ SV379 )
!= SV286 )
| ( SV209
!= ( append_char @ SV379 @ SV322 ) ) ) )
= $true )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2201]) ).
thf(2354,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2203]) ).
thf(2355,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2204]) ).
thf(2356,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( SV287 != nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 )
= $true )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2205]) ).
thf(2357,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SV380 @ SV323 ) ) ) )
= $true )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2206]) ).
thf(2358,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k,SV288: option2026120038on_j_k] :
( ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) )
| ( SV212 @ SV98 @ SV288 ) )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2207]) ).
thf(2359,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2208]) ).
thf(2360,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2209]) ).
thf(2361,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2210]) ).
thf(2362,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2212]) ).
thf(2363,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2213]) ).
thf(2364,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2213]) ).
thf(2365,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( ! [SY1687: list_l118626078tr_b_c] :
( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ ( sK92_SY817 @ SV100 ) @ ( sK113_SY1663 @ SV100 ) ) @ SY1687 ) ) )
= $false )
| ( ( SV100
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ ( sK38_SY816 @ SV100 ) ) )
= $true )
| ( ( SV100 = nil_li198338206tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2214]) ).
thf(2366,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ~ ~ ! [SY1688: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ ( sK114_SY820 @ SV101 ) @ SY1688 ) ) )
= $false )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2216]) ).
thf(2367,plain,
! [SV374: list_n282880152tr_b_c,SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false )
| ( ( ~ ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2217]) ).
thf(2368,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ! [SY1689: list_char] :
( ~ ( SV102 @ SY1689 )
| ~ ( SV102 @ ( cons_char @ ( sK115_SY1665 @ SV214 @ SV102 ) @ SY1689 ) )
| ( SV102 @ ( cons_char @ ( sK93_SY824 @ SV214 @ SV102 ) @ ( cons_char @ ( sK115_SY1665 @ SV214 @ SV102 ) @ SY1689 ) ) ) ) )
= $false )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2218]) ).
thf(2369,plain,
! [SV381: option2026120038on_j_k,SV216: option2026120038on_j_k > $o] :
( ( ( SV216 @ SV381 )
= $true )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2219]) ).
thf(2370,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $false )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2220]) ).
thf(2371,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2221]) ).
thf(2372,plain,
! [SV105: option2026120038on_j_k] :
( ( ( SV105
!= ( some_S1960742641on_j_k @ ( sK117_SY831 @ SV105 ) ) )
= $false )
| ( ( SV105 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2223]) ).
thf(2373,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( SV105 != none_S1393028981on_j_k )
= $true )
| ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2374,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( ~ ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $true )
| ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2225]) ).
thf(2375,plain,
! [SV291: list_char,SV217: list_char,SV106: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( ~ ! [SY1524: char,SY1525: list_char,SY1526: char,SY1527: list_char,SY1528: char,SY1529: list_char] :
( ( ( size_size_list_char @ SY1525 )
!= ( size_size_list_char @ SY1527 ) )
| ( ( size_size_list_char @ SY1527 )
!= ( size_size_list_char @ SY1529 ) )
| ~ ( SV324 @ SY1525 @ SY1527 @ SY1529 )
| ( SV324 @ ( cons_char @ SY1524 @ SY1525 ) @ ( cons_char @ SY1526 @ SY1527 ) @ ( cons_char @ SY1528 @ SY1529 ) ) ) )
= $true )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2226]) ).
thf(2376,plain,
! [SV108: list_char] :
( ( ( ! [SY1690: list_char] :
( SV108
!= ( cons_char @ ( sK94_SY845 @ SV108 ) @ ( cons_char @ ( sK118_SY1667 @ SV108 ) @ SY1690 ) ) ) )
= $false )
| ( ( SV108
= ( cons_char @ ( sK41_SY844 @ SV108 ) @ nil_char ) )
= $true )
| ( ( SV108 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2227]) ).
thf(2377,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY854: node_p1234578834tr_b_c,SY855: list_n282880152tr_b_c,SY856: node_p1234578834tr_b_c,SY857: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY855 @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ SY857 )
| ( SV110 @ ( cons_n413985352tr_b_c @ SY854 @ SY855 ) @ ( cons_n413985352tr_b_c @ SY856 @ SY857 ) ) ) )
= $false )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2228]) ).
thf(2378,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY862: node_p1234578834tr_b_c,SY863: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ SY862 @ SY863 ) ) )
= $false )
| ( ( ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2229]) ).
thf(2379,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $false )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2230]) ).
thf(2380,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) )
= $false )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2230]) ).
thf(2381,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2231]) ).
thf(2382,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2232]) ).
thf(2383,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 )
| ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) )
= $false )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2233]) ).
thf(2384,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( SV116 != nil_no279930520tr_b_c )
= $false )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2235]) ).
thf(2385,plain,
! [SV116: list_n282880152tr_b_c,SV225: list_n282880152tr_b_c] :
( ( ( SV225 != nil_no279930520tr_b_c )
= $false )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2235]) ).
thf(2386,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
| ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2236]) ).
thf(2387,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ! [SY1691: list_n282880152tr_b_c] :
( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ SY1691 ) ) )
| ~ ( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ SY1691 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ SY1691 ) ) ) ) )
= $false )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2237]) ).
thf(2388,plain,
! [SV118: list_list_char] :
( ( ( ! [SY1692: list_list_char] :
( SV118
!= ( cons_list_char @ ( cons_char @ ( sK97_SY887 @ SV118 ) @ ( sK120_SY1671 @ SV118 ) ) @ SY1692 ) ) )
= $false )
| ( ( SV118
= ( cons_list_char @ nil_char @ ( sK45_SY886 @ SV118 ) ) )
= $true )
| ( ( SV118 = nil_list_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2238]) ).
thf(2389,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $false )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2239]) ).
thf(2390,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) )
= $false )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2239]) ).
thf(2391,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2240]) ).
thf(2392,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2241]) ).
thf(2393,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 )
| ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) )
= $false )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2242]) ).
thf(2394,plain,
! [SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY1530: node_p1234578834tr_b_c,SY1531: list_n282880152tr_b_c,SY1532: node_p1234578834tr_b_c,SY1533: list_n282880152tr_b_c,SY1534: node_p1234578834tr_b_c,SY1535: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1531 )
!= ( size_s2106487044tr_b_c @ SY1533 ) )
| ( ( size_s2106487044tr_b_c @ SY1533 )
!= ( size_s2106487044tr_b_c @ SY1535 ) )
| ~ ( SV325 @ SY1531 @ SY1533 @ SY1535 )
| ( SV325 @ ( cons_n413985352tr_b_c @ SY1530 @ SY1531 ) @ ( cons_n413985352tr_b_c @ SY1532 @ SY1533 ) @ ( cons_n413985352tr_b_c @ SY1534 @ SY1535 ) ) ) )
= $true )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2243]) ).
thf(2395,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( SV121 != nil_char )
= $false )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2244]) ).
thf(2396,plain,
! [SV121: list_char,SV229: list_char] :
( ( ( SV229 != nil_char )
= $false )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2244]) ).
thf(2397,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
| ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) )
= $false )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2245]) ).
thf(2398,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( SV122 != nil_char )
= $false )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2246]) ).
thf(2399,plain,
! [SV122: list_char,SV230: list_char] :
( ( ( SV230 != nil_char )
= $false )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2246]) ).
thf(2400,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
| ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) )
= $false )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2247]) ).
thf(2401,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( SV123 != nil_char )
= $false )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2248]) ).
thf(2402,plain,
! [SV123: list_char,SV231: list_char] :
( ( ( SV231 != nil_char )
= $false )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2248]) ).
thf(2403,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
| ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) )
= $false )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2249]) ).
thf(2404,plain,
! [SV232: list_char,SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char] :
( ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ~ ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
| ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) )
| ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 ) )
= $true )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2250]) ).
thf(2405,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $true )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2251]) ).
thf(2406,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) )
= $true )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2252]) ).
thf(2407,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( SV125 = SV297 )
= $false )
| ( ( SV233 != SV327 )
= $true )
| ( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2253]) ).
thf(2408,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) )
| ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2254]) ).
thf(2409,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2254]) ).
thf(2410,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2256]) ).
thf(2411,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2257]) ).
thf(2412,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2257]) ).
thf(2413,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( ! [SY1693: list_n282880152tr_b_c] :
( ~ ( ( SY1693 != nil_no279930520tr_b_c ) )
| ~ ( SV237 @ SY1693 )
| ( SV237 @ ( cons_n413985352tr_b_c @ ( sK121_SY1255 @ SV129 @ SV237 ) @ SY1693 ) ) ) )
= $false )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2258]) ).
thf(2414,plain,
! [SV382: sum_su1221287958on_j_k,SV130: option2026120038on_j_k] :
( ( ( SV130
!= ( some_S1960742641on_j_k @ SV382 ) )
= $true )
| ( ( SV130
= ( some_S1960742641on_j_k @ ( sK25_SY936 @ SV130 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2259]) ).
thf(2415,plain,
! [SV383: option_element_ptr_a,SV239: option_element_ptr_a > $o] :
( ( ( SV239 @ SV383 )
= $true )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2416,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $false )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2417,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2264]) ).
thf(2418,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a,SV300: option_element_ptr_a] :
( ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) )
| ( SV240 @ SV133 @ SV300 ) )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2265]) ).
thf(2419,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2266]) ).
thf(2420,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2267]) ).
thf(2421,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2268]) ).
thf(2422,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2423,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 != none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2424,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2425,plain,
! [SV137: list_char] :
( ( ( ~ ~ ! [SY1694: list_char] :
( SV137
!= ( cons_char @ ( sK123_SY950 @ SV137 ) @ SY1694 ) ) )
= $false )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2274]) ).
thf(2426,plain,
! [SV376: list_char,SV364: char,SV137: list_char] :
( ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false )
| ( ( ~ ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2275]) ).
thf(2427,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2276]) ).
thf(2428,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2277]) ).
thf(2429,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( SV138 != nil_char )
= $true )
| ( ( SV243
!= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2278]) ).
thf(2430,plain,
! [SV329: list_char,SV243: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SV384 ) )
| ( ( append_char @ SV384 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2279]) ).
thf(2431,plain,
! [SV303: list_char,SV244: char > char > $o,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ~ ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) ) )
= $true )
| ( ( SV139 @ SV244 @ SV303 )
= $true )
| ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2280]) ).
thf(2432,plain,
! [SV140: option_element_ptr_a] :
( ( ( SV140
!= ( some_element_ptr_a @ ( sK124_SY965 @ SV140 ) ) )
= $false )
| ( ( SV140 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2282]) ).
thf(2433,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( SV140 != none_element_ptr_a )
= $true )
| ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2283]) ).
thf(2434,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( ~ ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $true )
| ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2284]) ).
thf(2435,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( ! [SY1695: list_n282880152tr_b_c] :
( SV144
!= ( cons_n413985352tr_b_c @ ( sK99_SY973 @ SV144 ) @ ( cons_n413985352tr_b_c @ ( sK125_SY1673 @ SV144 ) @ SY1695 ) ) ) )
= $false )
| ( ( SV144
= ( cons_n413985352tr_b_c @ ( sK50_SY972 @ SV144 ) @ nil_no279930520tr_b_c ) )
= $true )
| ( ( SV144 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2286]) ).
thf(2436,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ! [SY982: char,SY983: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ SY982 @ SY983 ) ) )
= $false )
| ( ( ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2437,plain,
! [SV305: list_char > list_char > $o,SV250: list_char,SV147: list_char] :
( ( ( ! [SY1696: char,SY1697: list_char] :
( ( ( size_size_list_char @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) )
!= ( size_size_list_char @ SY1697 ) )
| ~ ( SV305 @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) @ SY1697 )
| ( SV305 @ ( cons_char @ ( sK100_SY1484 @ SV250 @ SV147 @ SV305 ) @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) ) @ ( cons_char @ SY1696 @ SY1697 ) ) ) )
= $false )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2288]) ).
thf(2438,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2439,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 != none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2291]) ).
thf(2440,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $false )
| ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2291]) ).
thf(2441,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2292]) ).
thf(2442,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2293]) ).
thf(2443,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150 != nil_no279930520tr_b_c )
= $true )
| ( ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2294]) ).
thf(2444,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
| ( ( append846395565tr_b_c @ SV385 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2295]) ).
thf(2445,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( ! [SY1698: list_char] :
( ( SV151
!= ( cons_char @ ( sK127_SY1491 @ SV253 @ SV308 @ SV151 ) @ SY1698 ) )
| ( SV308
!= ( cons_char @ ( sK127_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( splice_char @ SV253 @ SY1698 ) ) ) ) )
= $false )
| ( ( SV151 = nil_char )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2296]) ).
thf(2446,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( ! [SY1699: list_char] :
( ( SV151
!= ( cons_char @ ( sK128_SY1491 @ SV253 @ SV308 @ SV151 ) @ SY1699 ) )
| ( SV308
!= ( cons_char @ ( sK128_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( splice_char @ SV253 @ SY1699 ) ) ) ) )
= $false )
| ( ( SV308 = SV253 )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2297]) ).
thf(2447,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( SV156 != nil_no279930520tr_b_c )
= $false )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2298]) ).
thf(2448,plain,
! [SV156: list_n282880152tr_b_c,SV256: list_n282880152tr_b_c] :
( ( ( SV256 != nil_no279930520tr_b_c )
= $false )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2298]) ).
thf(2449,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
| ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2299]) ).
thf(2450,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ( SV60
!= ( cons_n413985352tr_b_c @ ( sK101_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( sK129_SY1678 @ SV268 @ SV181 @ SV60 ) ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ ( sK101_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( splice1294941035tr_b_c @ SV181 @ ( sK129_SY1678 @ SV268 @ SV181 @ SV60 ) ) ) ) )
= $false )
| ( ( SV60 = nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2300]) ).
thf(2451,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( ( SV60
!= ( cons_n413985352tr_b_c @ ( sK102_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( sK130_SY1679 @ SV268 @ SV181 @ SV60 ) ) )
| ( SV268
!= ( cons_n413985352tr_b_c @ ( sK102_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( splice1294941035tr_b_c @ SV181 @ ( sK130_SY1679 @ SV268 @ SV181 @ SV60 ) ) ) ) )
= $false )
| ( ( SV268 = SV181 )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2301]) ).
thf(2452,plain,
! [SV182: list_char,SV269: list_char,SV61: list_char > list_char > $o] :
( ( ( ! [SY1700: list_char] : ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ SY1700 ) ) )
= $false )
| ( ( ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2302]) ).
thf(2453,plain,
! [SV183: list_char,SV270: list_n282880152tr_b_c,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1701: list_n282880152tr_b_c] : ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ SY1701 ) ) )
= $false )
| ( ( ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2303]) ).
thf(2454,plain,
! [SV185: list_n282880152tr_b_c > $o,SV64: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( sK133_SY1680 @ SV64 @ SV185 )
!= nil_no279930520tr_b_c ) )
| ~ ( SV185 @ ( sK133_SY1680 @ SV64 @ SV185 ) )
| ( SV185 @ ( append846395565tr_b_c @ ( sK133_SY1680 @ SV64 @ SV185 ) @ ( cons_n413985352tr_b_c @ ( sK103_SY1085 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) ) ) )
= $false )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2305]) ).
thf(2455,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( ( SV65 != SV271 )
| ( SV186 != SV320 ) )
= $false )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2307]) ).
thf(2456,plain,
! [SV271: list_char,SV65: list_char,SV320: char,SV186: char] :
( ( ( SV186 = SV320 )
= $false )
| ( ( SV65 = SV271 )
= $false )
| ( ( ~ ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2308]) ).
thf(2457,plain,
! [SV187: list_char,SV272: list_char,SV66: list_char > list_char > $o] :
( ( ( ~ ( SV66 @ ( sK104_SY1652 @ SV272 @ SV187 @ SV66 ) @ ( sK84_SY1640 @ SV187 @ SV272 @ SV66 ) ) )
= $false )
| ( ( SV66 @ SV187 @ SV272 )
= $true )
| ( ( SV66 @ nil_char @ ( sK11_SY690 @ SV272 @ SV187 @ SV66 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2309]) ).
thf(2458,plain,
! [SV187: list_char,SV272: list_char,SV66: list_char > list_char > $o] :
( ( ( SV66 @ ( cons_char @ ( sK72_SY691 @ SV272 @ SV187 @ SV66 ) @ ( sK84_SY1640 @ SV187 @ SV272 @ SV66 ) ) @ ( sK104_SY1652 @ SV272 @ SV187 @ SV66 ) )
= $false )
| ( ( SV66 @ SV187 @ SV272 )
= $true )
| ( ( SV66 @ nil_char @ ( sK11_SY690 @ SV272 @ SV187 @ SV66 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2309]) ).
thf(2459,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV67 @ ( sK134_SY1681 @ SV188 @ SV67 ) )
| ~ ( SV67 @ ( cons_n413985352tr_b_c @ ( sK105_SY1653 @ SV188 @ SV67 ) @ ( sK134_SY1681 @ SV188 @ SV67 ) ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ ( sK85_SY696 @ SV188 @ SV67 ) @ ( cons_n413985352tr_b_c @ ( sK105_SY1653 @ SV188 @ SV67 ) @ ( sK134_SY1681 @ SV188 @ SV67 ) ) ) ) )
= $false )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2310]) ).
thf(2460,plain,
! [SV273: list_n282880152tr_b_c,SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY704: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SY705: node_p1234578834tr_b_c,SY706: node_p1234578834tr_b_c,SY707: list_n282880152tr_b_c] :
( ~ ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) )
| ( SV68 @ SY704 @ ( cons_n413985352tr_b_c @ SY705 @ ( cons_n413985352tr_b_c @ SY706 @ SY707 ) ) ) ) )
= $false )
| ( ( SV68 @ SV189 @ SV273 )
= $true )
| ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2311]) ).
thf(2461,plain,
! [SV190: list_char > $o,SV69: list_char] :
( ( ( ~ ( ( ( sK135_SY1682 @ SV69 @ SV190 )
!= nil_char ) )
| ~ ( SV190 @ ( sK135_SY1682 @ SV69 @ SV190 ) )
| ( SV190 @ ( cons_char @ ( sK106_SY1107 @ SV69 @ SV190 ) @ ( sK135_SY1682 @ SV69 @ SV190 ) ) ) )
= $false )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2312]) ).
thf(2462,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( ~ ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2463,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2464,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2315]) ).
thf(2465,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ! [SY1702: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ ( sK136_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
| ( SV274
!= ( some_element_ptr_a @ SY1702 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2316]) ).
thf(2466,plain,
! [SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c] :
( ( ( ! [SY1703: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) )
!= ( size_s2106487044tr_b_c @ SY1703 ) )
| ~ ( SV275 @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) @ SY1703 )
| ( SV275 @ ( cons_n413985352tr_b_c @ ( sK87_SY1375 @ SV192 @ SV72 @ SV275 ) @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) ) @ ( cons_n413985352tr_b_c @ ( sK137_SY1683 @ SV275 @ SV192 @ SV72 ) @ SY1703 ) ) ) )
= $false )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2317]) ).
thf(2467,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2318]) ).
thf(2468,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2318]) ).
thf(2469,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2319]) ).
thf(2470,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2320]) ).
thf(2471,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2321]) ).
thf(2472,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2321]) ).
thf(2473,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2322]) ).
thf(2474,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2323]) ).
thf(2475,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( ~ ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2324]) ).
thf(2476,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2477,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2478,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ! [SY1704: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ ( sK138_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1704 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2327]) ).
thf(2479,plain,
! [SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV279: list_n282880152tr_b_c,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV77 @ ( sK74_SY740 @ SV279 @ SV197 @ SV77 ) @ ( sK108_SY1658 @ SV197 @ SV279 @ SV77 ) ) )
= $false )
| ( ( SV77 @ SV197 @ SV279 )
= $true )
| ( ( SV77 @ ( sK14_SY739 @ SV279 @ SV197 @ SV77 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2480,plain,
! [SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV279: list_n282880152tr_b_c,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( SV77 @ ( sK74_SY740 @ SV279 @ SV197 @ SV77 ) @ ( cons_n413985352tr_b_c @ ( sK88_SY1643 @ SV197 @ SV279 @ SV77 ) @ ( sK108_SY1658 @ SV197 @ SV279 @ SV77 ) ) )
= $false )
| ( ( SV77 @ SV197 @ SV279 )
= $true )
| ( ( SV77 @ ( sK14_SY739 @ SV279 @ SV197 @ SV77 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2481,plain,
! [SV78: rObjec1413572695_j_k_l,SV377: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV377 )
= SV78 )
= $false )
| ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2329]) ).
thf(2482,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ( cast_O1034441233_j_k_l @ SV78 )
= none_R1587534007on_j_k )
= $true )
| ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2483,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ~ ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $true )
| ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2331]) ).
thf(2484,plain,
! [SV198: char > char > $o,SV280: list_char,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( ~ ( SV79 @ ( sK75_SY747 @ SV280 @ SV198 @ SV79 ) @ ( sK109_SY1659 @ SV198 @ SV280 @ SV79 ) ) )
= $false )
| ( ( SV79 @ SV198 @ SV280 )
= $true )
| ( ( SV79 @ ( sK15_SY746 @ SV280 @ SV198 @ SV79 ) @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2332]) ).
thf(2485,plain,
! [SV198: char > char > $o,SV280: list_char,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( SV79 @ ( sK75_SY747 @ SV280 @ SV198 @ SV79 ) @ ( cons_char @ ( sK89_SY1645 @ SV198 @ SV280 @ SV79 ) @ ( sK109_SY1659 @ SV198 @ SV280 @ SV79 ) ) )
= $false )
| ( ( SV79 @ SV198 @ SV280 )
= $true )
| ( ( SV79 @ ( sK15_SY746 @ SV280 @ SV198 @ SV79 ) @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2332]) ).
thf(2486,plain,
! [SV199: list_char,SV281: list_char,SV81: list_char > list_char > $o] :
( ( ( ! [SY1705: list_char,SY1706: char,SY1707: list_char] :
( ~ ( SV81 @ SY1705 @ ( cons_char @ SY1706 @ SY1707 ) )
| ~ ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ SY1705 ) @ SY1707 )
| ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ SY1705 ) @ ( cons_char @ SY1706 @ SY1707 ) ) ) )
= $false )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2333]) ).
thf(2487,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) )
| ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) )
| ~ ( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) ) )
| ( SV82 @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) )
| ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) ) )
= $false )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2334]) ).
thf(2488,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( SV83 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2335]) ).
thf(2489,plain,
! [SV83: list_n282880152tr_b_c,SV201: list_n282880152tr_b_c] :
( ( ( SV201 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2336]) ).
thf(2490,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
!= nil_no279930520tr_b_c )
= $false )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2337]) ).
thf(2491,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2337]) ).
thf(2492,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2338]) ).
thf(2493,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2338]) ).
thf(2494,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2339]) ).
thf(2495,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2340]) ).
thf(2496,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2341]) ).
thf(2497,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2341]) ).
thf(2498,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2342]) ).
thf(2499,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2343]) ).
thf(2500,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( SV88 != SV284 )
| ( SV204 != SV321 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2345]) ).
thf(2501,plain,
! [SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c,SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c] :
( ( ( SV204 = SV321 )
= $false )
| ( ( SV88 = SV284 )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2502,plain,
! [SV205: list_n282880152tr_b_c,SV285: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV89 @ ( sK111_SY1662 @ SV285 @ SV205 @ SV89 ) @ ( sK91_SY1647 @ SV205 @ SV285 @ SV89 ) ) )
= $false )
| ( ( SV89 @ SV205 @ SV285 )
= $true )
| ( ( SV89 @ nil_no279930520tr_b_c @ ( sK19_SY785 @ SV285 @ SV205 @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2347]) ).
thf(2503,plain,
! [SV205: list_n282880152tr_b_c,SV285: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV89 @ ( cons_n413985352tr_b_c @ ( sK77_SY786 @ SV285 @ SV205 @ SV89 ) @ ( sK91_SY1647 @ SV205 @ SV285 @ SV89 ) ) @ ( sK111_SY1662 @ SV285 @ SV205 @ SV89 ) )
= $false )
| ( ( SV89 @ SV205 @ SV285 )
= $true )
| ( ( SV89 @ nil_no279930520tr_b_c @ ( sK19_SY785 @ SV285 @ SV205 @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2347]) ).
thf(2504,plain,
! [SV378: element_ptr_a,SV92: option_element_ptr_a] :
( ( ( SV92
= ( some_element_ptr_a @ SV378 ) )
= $false )
| ( ( SV92
= ( some_element_ptr_a @ ( sK20_SY792 @ SV92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2348]) ).
thf(2505,plain,
! [SV207: list_char > $o,SV93: list_char] :
( ( ( ~ ( ( ( sK141_SY1686 @ SV93 @ SV207 )
!= nil_char ) )
| ~ ( SV207 @ ( sK141_SY1686 @ SV93 @ SV207 ) )
| ( SV207 @ ( append_char @ ( sK141_SY1686 @ SV93 @ SV207 ) @ ( cons_char @ ( sK112_SY1160 @ SV93 @ SV207 ) @ nil_char ) ) ) )
= $false )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2349]) ).
thf(2506,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) ) )
= $true )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2351]) ).
thf(2507,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
!= SV322 )
= $true )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2352]) ).
thf(2508,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV379: list_char,SV95: char] :
( ( ( ~ ( ( ( cons_char @ SV95 @ SV379 )
!= SV286 )
| ( SV209
!= ( append_char @ SV379 @ SV322 ) ) ) )
= $false )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2509,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) ) )
= $true )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2355]) ).
thf(2510,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 )
= $true )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2356]) ).
thf(2511,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SV380 @ SV323 ) ) ) )
= $false )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2512,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( ~ ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2358]) ).
thf(2513,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2359]) ).
thf(2514,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2360]) ).
thf(2515,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ! [SY1708: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ ( sK142_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1708 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2361]) ).
thf(2516,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2517,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2518,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2363]) ).
thf(2519,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2364]) ).
thf(2520,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( SV100
!= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ ( sK92_SY817 @ SV100 ) @ ( sK113_SY1663 @ SV100 ) ) @ ( sK143_SY1687 @ SV100 ) ) )
= $false )
| ( ( SV100
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ ( sK38_SY816 @ SV100 ) ) )
= $true )
| ( ( SV100 = nil_li198338206tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2365]) ).
thf(2521,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ~ ! [SY1688: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ ( sK114_SY820 @ SV101 ) @ SY1688 ) ) )
= $true )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2366]) ).
thf(2522,plain,
! [SV374: list_n282880152tr_b_c,SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV101 != nil_no279930520tr_b_c ) )
| ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $false )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2367]) ).
thf(2523,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ~ ( SV102 @ ( sK144_SY1689 @ SV214 @ SV102 ) )
| ~ ( SV102 @ ( cons_char @ ( sK115_SY1665 @ SV214 @ SV102 ) @ ( sK144_SY1689 @ SV214 @ SV102 ) ) )
| ( SV102 @ ( cons_char @ ( sK93_SY824 @ SV214 @ SV102 ) @ ( cons_char @ ( sK115_SY1665 @ SV214 @ SV102 ) @ ( sK144_SY1689 @ SV214 @ SV102 ) ) ) ) )
= $false )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2368]) ).
thf(2524,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( SV216 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2370]) ).
thf(2525,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $false )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2370]) ).
thf(2526,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 )
| ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) )
= $false )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2371]) ).
thf(2527,plain,
! [SV105: option2026120038on_j_k] :
( ( ( SV105
= ( some_S1960742641on_j_k @ ( sK117_SY831 @ SV105 ) ) )
= $true )
| ( ( SV105 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2372]) ).
thf(2528,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( SV105 = none_S1393028981on_j_k )
= $false )
| ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2373]) ).
thf(2529,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( ! [SY831: sum_su1221287958on_j_k] :
( SV105
!= ( some_S1960742641on_j_k @ SY831 ) ) )
= $false )
| ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2374]) ).
thf(2530,plain,
! [SV291: list_char,SV217: list_char,SV106: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( ! [SY1524: char,SY1525: list_char,SY1526: char,SY1527: list_char,SY1528: char,SY1529: list_char] :
( ( ( size_size_list_char @ SY1525 )
!= ( size_size_list_char @ SY1527 ) )
| ( ( size_size_list_char @ SY1527 )
!= ( size_size_list_char @ SY1529 ) )
| ~ ( SV324 @ SY1525 @ SY1527 @ SY1529 )
| ( SV324 @ ( cons_char @ SY1524 @ SY1525 ) @ ( cons_char @ SY1526 @ SY1527 ) @ ( cons_char @ SY1528 @ SY1529 ) ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2375]) ).
thf(2531,plain,
! [SV108: list_char] :
( ( ( SV108
!= ( cons_char @ ( sK94_SY845 @ SV108 ) @ ( cons_char @ ( sK118_SY1667 @ SV108 ) @ ( sK145_SY1690 @ SV108 ) ) ) )
= $false )
| ( ( SV108
= ( cons_char @ ( sK41_SY844 @ SV108 ) @ nil_char ) )
= $true )
| ( ( SV108 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2376]) ).
thf(2532,plain,
! [SV219: list_n282880152tr_b_c,SV292: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1709: list_n282880152tr_b_c,SY1710: node_p1234578834tr_b_c,SY1711: list_n282880152tr_b_c] :
( ~ ( SV110 @ SY1709 @ ( cons_n413985352tr_b_c @ SY1710 @ SY1711 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ SY1709 ) @ SY1711 )
| ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ SY1709 ) @ ( cons_n413985352tr_b_c @ SY1710 @ SY1711 ) ) ) )
= $false )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2377]) ).
thf(2533,plain,
! [SV220: list_n282880152tr_b_c,SV293: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1712: list_n282880152tr_b_c] : ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ SY1712 ) ) )
= $false )
| ( ( ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2378]) ).
thf(2534,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $true )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2379]) ).
thf(2535,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $true )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2380]) ).
thf(2536,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( SV221 @ ( sK148_SY1208 @ SV221 ) ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2381]) ).
thf(2537,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2382]) ).
thf(2538,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $false )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2539,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) ) )
= $false )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2540,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( SV116 = nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2384]) ).
thf(2541,plain,
! [SV116: list_n282880152tr_b_c,SV225: list_n282880152tr_b_c] :
( ( ( SV225 = nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2385]) ).
thf(2542,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
!= nil_no279930520tr_b_c )
= $false )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2386]) ).
thf(2543,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2386]) ).
thf(2544,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) )
| ~ ( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) ) )
= $false )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2387]) ).
thf(2545,plain,
! [SV118: list_list_char] :
( ( ( SV118
!= ( cons_list_char @ ( cons_char @ ( sK97_SY887 @ SV118 ) @ ( sK120_SY1671 @ SV118 ) ) @ ( sK150_SY1692 @ SV118 ) ) )
= $false )
| ( ( SV118
= ( cons_list_char @ nil_char @ ( sK45_SY886 @ SV118 ) ) )
= $true )
| ( ( SV118 = nil_list_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2388]) ).
thf(2546,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $true )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2389]) ).
thf(2547,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $true )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2390]) ).
thf(2548,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ( SV227 @ ( sK151_SY1221 @ SV227 ) ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2391]) ).
thf(2549,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2550,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $false )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2393]) ).
thf(2551,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) ) )
= $false )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2393]) ).
thf(2552,plain,
! [SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1530: node_p1234578834tr_b_c,SY1531: list_n282880152tr_b_c,SY1532: node_p1234578834tr_b_c,SY1533: list_n282880152tr_b_c,SY1534: node_p1234578834tr_b_c,SY1535: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1531 )
!= ( size_s2106487044tr_b_c @ SY1533 ) )
| ( ( size_s2106487044tr_b_c @ SY1533 )
!= ( size_s2106487044tr_b_c @ SY1535 ) )
| ~ ( SV325 @ SY1531 @ SY1533 @ SY1535 )
| ( SV325 @ ( cons_n413985352tr_b_c @ SY1530 @ SY1531 ) @ ( cons_n413985352tr_b_c @ SY1532 @ SY1533 ) @ ( cons_n413985352tr_b_c @ SY1534 @ SY1535 ) ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2394]) ).
thf(2553,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( SV121 = nil_char )
= $true )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2395]) ).
thf(2554,plain,
! [SV121: list_char,SV229: list_char] :
( ( ( SV229 = nil_char )
= $true )
| ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2396]) ).
thf(2555,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( splice_char @ SV121 @ SV229 )
!= nil_char )
= $false )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2397]) ).
thf(2556,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ~ ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) )
= $false )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2397]) ).
thf(2557,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( SV122 = nil_char )
= $true )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2398]) ).
thf(2558,plain,
! [SV122: list_char,SV230: list_char] :
( ( ( SV230 = nil_char )
= $true )
| ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2559,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( nil_char
!= ( append_char @ SV122 @ SV230 ) )
= $false )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2400]) ).
thf(2560,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ~ ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) )
= $false )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2400]) ).
thf(2561,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( SV123 = nil_char )
= $true )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2401]) ).
thf(2562,plain,
! [SV123: list_char,SV231: list_char] :
( ( ( SV231 = nil_char )
= $true )
| ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2402]) ).
thf(2563,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( append_char @ SV123 @ SV231 )
!= nil_char )
= $false )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2403]) ).
thf(2564,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ~ ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) )
= $false )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2403]) ).
thf(2565,plain,
! [SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ~ ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char ) )
= $true )
| ( ( ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) )
| ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 ) )
= $true )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2404]) ).
thf(2566,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( ( SV125 != SV297 )
| ( SV233 != SV327 ) )
= $false )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2406]) ).
thf(2567,plain,
! [SV297: product_unit,SV125: product_unit,SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k] :
( ( ( SV233 = SV327 )
= $false )
| ( ( SV125 = SV297 )
= $false )
| ( ( ~ ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2407]) ).
thf(2568,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2408]) ).
thf(2569,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2570,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2571,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2411]) ).
thf(2572,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2412]) ).
thf(2573,plain,
! [SV237: list_n282880152tr_b_c > $o,SV129: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( sK152_SY1693 @ SV129 @ SV237 )
!= nil_no279930520tr_b_c ) )
| ~ ( SV237 @ ( sK152_SY1693 @ SV129 @ SV237 ) )
| ( SV237 @ ( cons_n413985352tr_b_c @ ( sK121_SY1255 @ SV129 @ SV237 ) @ ( sK152_SY1693 @ SV129 @ SV237 ) ) ) )
= $false )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2413]) ).
thf(2574,plain,
! [SV382: sum_su1221287958on_j_k,SV130: option2026120038on_j_k] :
( ( ( SV130
= ( some_S1960742641on_j_k @ SV382 ) )
= $false )
| ( ( SV130
= ( some_S1960742641on_j_k @ ( sK25_SY936 @ SV130 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2414]) ).
thf(2575,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( SV239 @ none_element_ptr_a ) )
= $false )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2416]) ).
thf(2576,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $false )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2416]) ).
thf(2577,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 )
| ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) )
= $false )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2578,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( ~ ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2418]) ).
thf(2579,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2419]) ).
thf(2580,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2420]) ).
thf(2581,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ! [SY1713: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ ( sK153_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
| ( SV300
!= ( some_element_ptr_a @ SY1713 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2421]) ).
thf(2582,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2583,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2584,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2423]) ).
thf(2585,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2424]) ).
thf(2586,plain,
! [SV137: list_char] :
( ( ( ~ ! [SY1694: list_char] :
( SV137
!= ( cons_char @ ( sK123_SY950 @ SV137 ) @ SY1694 ) ) )
= $true )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2425]) ).
thf(2587,plain,
! [SV376: list_char,SV364: char,SV137: list_char] :
( ( ( ~ ( ( SV137 != nil_char ) )
| ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $false )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2426]) ).
thf(2588,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) ) )
= $true )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2428]) ).
thf(2589,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( SV138 = nil_char )
= $false )
| ( ( SV243
!= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2429]) ).
thf(2590,plain,
! [SV329: list_char,SV243: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ( ( SV138
!= ( cons_char @ SV302 @ SV384 ) )
| ( ( append_char @ SV384 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2430]) ).
thf(2591,plain,
! [SV303: list_char,SV244: char > char > $o,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY961: char > char > $o,SY962: char,SY963: char,SY964: list_char] :
( ~ ( SV139 @ SY961 @ ( cons_char @ SY963 @ SY964 ) )
| ( SV139 @ SY961 @ ( cons_char @ SY962 @ ( cons_char @ SY963 @ SY964 ) ) ) ) )
= $false )
| ( ( SV139 @ SV244 @ SV303 )
= $true )
| ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2431]) ).
thf(2592,plain,
! [SV140: option_element_ptr_a] :
( ( ( SV140
= ( some_element_ptr_a @ ( sK124_SY965 @ SV140 ) ) )
= $true )
| ( ( SV140 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2432]) ).
thf(2593,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( SV140 = none_element_ptr_a )
= $false )
| ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2433]) ).
thf(2594,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( ! [SY965: element_ptr_a] :
( SV140
!= ( some_element_ptr_a @ SY965 ) ) )
= $false )
| ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2434]) ).
thf(2595,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( SV144
!= ( cons_n413985352tr_b_c @ ( sK99_SY973 @ SV144 ) @ ( cons_n413985352tr_b_c @ ( sK125_SY1673 @ SV144 ) @ ( sK154_SY1695 @ SV144 ) ) ) )
= $false )
| ( ( SV144
= ( cons_n413985352tr_b_c @ ( sK50_SY972 @ SV144 ) @ nil_no279930520tr_b_c ) )
= $true )
| ( ( SV144 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2435]) ).
thf(2596,plain,
! [SV249: list_n282880152tr_b_c,SV304: list_char,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ! [SY1714: list_char] : ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ SY1714 ) ) )
= $false )
| ( ( ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2436]) ).
thf(2597,plain,
! [SV305: list_char > list_char > $o,SV250: list_char,SV147: list_char] :
( ( ( ! [SY1715: list_char] :
( ( ( size_size_list_char @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) )
!= ( size_size_list_char @ SY1715 ) )
| ~ ( SV305 @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) @ SY1715 )
| ( SV305 @ ( cons_char @ ( sK100_SY1484 @ SV250 @ SV147 @ SV305 ) @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) ) @ ( cons_char @ ( sK156_SY1696 @ SV305 @ SV250 @ SV147 ) @ SY1715 ) ) ) )
= $false )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2437]) ).
thf(2598,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2599,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2600,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2439]) ).
thf(2601,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2440]) ).
thf(2602,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) ) )
= $true )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2442]) ).
thf(2603,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2604,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
| ( ( append846395565tr_b_c @ SV385 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2605,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( ( SV151
!= ( cons_char @ ( sK127_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( sK157_SY1698 @ SV308 @ SV253 @ SV151 ) ) )
| ( SV308
!= ( cons_char @ ( sK127_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( splice_char @ SV253 @ ( sK157_SY1698 @ SV308 @ SV253 @ SV151 ) ) ) ) )
= $false )
| ( ( SV151 = nil_char )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2445]) ).
thf(2606,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( ( SV151
!= ( cons_char @ ( sK128_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( sK158_SY1699 @ SV308 @ SV253 @ SV151 ) ) )
| ( SV308
!= ( cons_char @ ( sK128_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( splice_char @ SV253 @ ( sK158_SY1699 @ SV308 @ SV253 @ SV151 ) ) ) ) )
= $false )
| ( ( SV308 = SV253 )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2446]) ).
thf(2607,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( SV156 = nil_no279930520tr_b_c )
= $true )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2447]) ).
thf(2608,plain,
! [SV156: list_n282880152tr_b_c,SV256: list_n282880152tr_b_c] :
( ( ( SV256 = nil_no279930520tr_b_c )
= $true )
| ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2448]) ).
thf(2609,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( nil_no279930520tr_b_c
!= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $false )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2449]) ).
thf(2610,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2449]) ).
thf(2611,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( SV60
!= ( cons_n413985352tr_b_c @ ( sK101_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( sK129_SY1678 @ SV268 @ SV181 @ SV60 ) ) )
= $false )
| ( ( SV60 = nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2612,plain,
! [SV60: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c] :
( ( ( SV268
!= ( cons_n413985352tr_b_c @ ( sK101_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( splice1294941035tr_b_c @ SV181 @ ( sK129_SY1678 @ SV268 @ SV181 @ SV60 ) ) ) )
= $false )
| ( ( SV60 = nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2613,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( SV60
!= ( cons_n413985352tr_b_c @ ( sK102_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( sK130_SY1679 @ SV268 @ SV181 @ SV60 ) ) )
= $false )
| ( ( SV268 = SV181 )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2451]) ).
thf(2614,plain,
! [SV60: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c] :
( ( ( SV268
!= ( cons_n413985352tr_b_c @ ( sK102_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( splice1294941035tr_b_c @ SV181 @ ( sK130_SY1679 @ SV268 @ SV181 @ SV60 ) ) ) )
= $false )
| ( ( SV268 = SV181 )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2451]) ).
thf(2615,plain,
! [SV182: list_char,SV269: list_char,SV61: list_char > list_char > $o] :
( ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) )
| ( SV61 @ SV182 @ SV269 ) )
= $true )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2452]) ).
thf(2616,plain,
! [SV183: list_char,SV270: list_n282880152tr_b_c,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) )
| ( SV62 @ SV183 @ SV270 ) )
= $true )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2453]) ).
thf(2617,plain,
! [SV185: list_n282880152tr_b_c > $o,SV64: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( sK133_SY1680 @ SV64 @ SV185 )
!= nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2454]) ).
thf(2618,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV185 @ ( sK133_SY1680 @ SV64 @ SV185 ) )
| ( SV185 @ ( append846395565tr_b_c @ ( sK133_SY1680 @ SV64 @ SV185 ) @ ( cons_n413985352tr_b_c @ ( sK103_SY1085 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) ) ) )
= $false )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2454]) ).
thf(2619,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( SV65 != SV271 )
= $false )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2455]) ).
thf(2620,plain,
! [SV271: list_char,SV65: list_char,SV320: char,SV186: char] :
( ( ( SV186 != SV320 )
= $false )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2455]) ).
thf(2621,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
| ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) )
= $false )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2456]) ).
thf(2622,plain,
! [SV187: list_char,SV272: list_char,SV66: list_char > list_char > $o] :
( ( ( SV66 @ ( sK104_SY1652 @ SV272 @ SV187 @ SV66 ) @ ( sK84_SY1640 @ SV187 @ SV272 @ SV66 ) )
= $true )
| ( ( SV66 @ SV187 @ SV272 )
= $true )
| ( ( SV66 @ nil_char @ ( sK11_SY690 @ SV272 @ SV187 @ SV66 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2457]) ).
thf(2623,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV67 @ ( sK134_SY1681 @ SV188 @ SV67 ) ) )
= $false )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2459]) ).
thf(2624,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV67 @ ( cons_n413985352tr_b_c @ ( sK105_SY1653 @ SV188 @ SV67 ) @ ( sK134_SY1681 @ SV188 @ SV67 ) ) )
| ( SV67 @ ( cons_n413985352tr_b_c @ ( sK85_SY696 @ SV188 @ SV67 ) @ ( cons_n413985352tr_b_c @ ( sK105_SY1653 @ SV188 @ SV67 ) @ ( sK134_SY1681 @ SV188 @ SV67 ) ) ) ) )
= $false )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2459]) ).
thf(2625,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1716: node_p1234578834tr_b_c,SY1717: node_p1234578834tr_b_c,SY1718: list_n282880152tr_b_c] :
( ~ ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ SY1717 @ SY1718 ) )
| ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ SY1716 @ ( cons_n413985352tr_b_c @ SY1717 @ SY1718 ) ) ) ) )
= $false )
| ( ( SV68 @ SV189 @ SV273 )
= $true )
| ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2460]) ).
thf(2626,plain,
! [SV190: list_char > $o,SV69: list_char] :
( ( ( ~ ( ( ( sK135_SY1682 @ SV69 @ SV190 )
!= nil_char ) ) )
= $false )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2461]) ).
thf(2627,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( ~ ( SV190 @ ( sK135_SY1682 @ SV69 @ SV190 ) )
| ( SV190 @ ( cons_char @ ( sK106_SY1107 @ SV69 @ SV190 ) @ ( sK135_SY1682 @ SV69 @ SV190 ) ) ) )
= $false )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2461]) ).
thf(2628,plain,
! [SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a,SV71: option2026120038on_j_k] :
( ( ( ! [SY1373: sum_su1221287958on_j_k,SY1374: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ SY1373 ) )
| ( SV274
!= ( some_element_ptr_a @ SY1374 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2629,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ! [SY1719: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ ( sK162_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
| ( SV274
!= ( some_element_ptr_a @ SY1719 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2463]) ).
thf(2630,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ! [SY1720: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ ( sK163_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
| ( SV274
!= ( some_element_ptr_a @ SY1720 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2464]) ).
thf(2631,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ( SV71
!= ( some_S1960742641on_j_k @ ( sK136_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
| ( SV274
!= ( some_element_ptr_a @ ( sK164_SY1702 @ SV274 @ SV191 @ SV71 ) ) )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2465]) ).
thf(2632,plain,
! [SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c] :
( ( ( ( ( size_s2106487044tr_b_c @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) )
!= ( size_s2106487044tr_b_c @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) ) )
| ~ ( SV275 @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) )
| ( SV275 @ ( cons_n413985352tr_b_c @ ( sK87_SY1375 @ SV192 @ SV72 @ SV275 ) @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) ) @ ( cons_n413985352tr_b_c @ ( sK137_SY1683 @ SV275 @ SV192 @ SV72 ) @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) ) ) )
= $false )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2466]) ).
thf(2633,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2467]) ).
thf(2634,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2468]) ).
thf(2635,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2469]) ).
thf(2636,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2470]) ).
thf(2637,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2471]) ).
thf(2638,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2472]) ).
thf(2639,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2473]) ).
thf(2640,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2641,plain,
! [SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k,SV76: option_element_ptr_a] :
( ( ( ! [SY1381: element_ptr_a,SY1382: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ SY1381 ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1382 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2642,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ! [SY1721: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ ( sK166_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1721 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2476]) ).
thf(2643,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ! [SY1722: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ ( sK167_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1722 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2477]) ).
thf(2644,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ( SV76
!= ( some_element_ptr_a @ ( sK138_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
| ( SV278
!= ( some_S1960742641on_j_k @ ( sK168_SY1704 @ SV278 @ SV196 @ SV76 ) ) )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2478]) ).
thf(2645,plain,
! [SV197: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV279: list_n282880152tr_b_c,SV77: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( SV77 @ ( sK74_SY740 @ SV279 @ SV197 @ SV77 ) @ ( sK108_SY1658 @ SV197 @ SV279 @ SV77 ) )
= $true )
| ( ( SV77 @ SV197 @ SV279 )
= $true )
| ( ( SV77 @ ( sK14_SY739 @ SV279 @ SV197 @ SV77 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2479]) ).
thf(2646,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ~ ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2483]) ).
thf(2647,plain,
! [SV198: char > char > $o,SV280: list_char,SV79: ( char > char > $o ) > list_char > $o] :
( ( ( SV79 @ ( sK75_SY747 @ SV280 @ SV198 @ SV79 ) @ ( sK109_SY1659 @ SV198 @ SV280 @ SV79 ) )
= $true )
| ( ( SV79 @ SV198 @ SV280 )
= $true )
| ( ( SV79 @ ( sK15_SY746 @ SV280 @ SV198 @ SV79 ) @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2484]) ).
thf(2648,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ! [SY1723: char,SY1724: list_char] :
( ~ ( SV81 @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) @ ( cons_char @ SY1723 @ SY1724 ) )
| ~ ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ SY1724 )
| ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ ( cons_char @ SY1723 @ SY1724 ) ) ) )
= $false )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2486]) ).
thf(2649,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) )
| ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) ) )
= $false )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2487]) ).
thf(2650,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ~ ( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) ) )
| ( SV82 @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) )
| ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) ) )
= $false )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2487]) ).
thf(2651,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV83 @ SV201 )
= nil_no279930520tr_b_c )
= $true )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2490]) ).
thf(2652,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2491]) ).
thf(2653,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2492]) ).
thf(2654,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2493]) ).
thf(2655,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2494]) ).
thf(2656,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2657,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2496]) ).
thf(2658,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2497]) ).
thf(2659,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2498]) ).
thf(2660,plain,
! [SV87: option2026120038on_j_k > $o,SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a] :
( ( ( ( SV203
!= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
| ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2499]) ).
thf(2661,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( SV88 != SV284 )
= $false )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2662,plain,
! [SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c,SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c] :
( ( ( SV204 != SV321 )
= $false )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2663,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
| ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) )
= $false )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2501]) ).
thf(2664,plain,
! [SV205: list_n282880152tr_b_c,SV285: list_n282880152tr_b_c,SV89: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV89 @ ( sK111_SY1662 @ SV285 @ SV205 @ SV89 ) @ ( sK91_SY1647 @ SV205 @ SV285 @ SV89 ) )
= $true )
| ( ( SV89 @ SV205 @ SV285 )
= $true )
| ( ( SV89 @ nil_no279930520tr_b_c @ ( sK19_SY785 @ SV285 @ SV205 @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2502]) ).
thf(2665,plain,
! [SV207: list_char > $o,SV93: list_char] :
( ( ( ~ ( ( ( sK141_SY1686 @ SV93 @ SV207 )
!= nil_char ) ) )
= $false )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2666,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( ~ ( SV207 @ ( sK141_SY1686 @ SV93 @ SV207 ) )
| ( SV207 @ ( append_char @ ( sK141_SY1686 @ SV93 @ SV207 ) @ ( cons_char @ ( sK112_SY1160 @ SV93 @ SV207 ) @ nil_char ) ) ) )
= $false )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2667,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
= $false )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2506]) ).
thf(2668,plain,
! [SV286: list_char,SV322: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false )
| ( ( SV286 = nil_char )
= $false )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2507]) ).
thf(2669,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV379: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ SV379 )
!= SV286 )
| ( SV209
!= ( append_char @ SV379 @ SV322 ) ) )
= $true )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2508]) ).
thf(2670,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
= $false )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2509]) ).
thf(2671,plain,
! [SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2510]) ).
thf(2672,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SV380 @ SV323 ) ) )
= $true )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2511]) ).
thf(2673,plain,
! [SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k,SV98: option2026120038on_j_k] :
( ( ( ! [SY1414: sum_su1221287958on_j_k,SY1415: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ SY1414 ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1415 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2512]) ).
thf(2674,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ! [SY1725: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ ( sK171_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1725 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2513]) ).
thf(2675,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ! [SY1726: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ ( sK172_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1726 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2514]) ).
thf(2676,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ( SV98
!= ( some_S1960742641on_j_k @ ( sK142_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
| ( SV288
!= ( some_S1960742641on_j_k @ ( sK173_SY1708 @ SV288 @ SV212 @ SV98 ) ) )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2515]) ).
thf(2677,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
= $true )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2516]) ).
thf(2678,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2517]) ).
thf(2679,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2518]) ).
thf(2680,plain,
! [SV99: option_element_ptr_a > $o,SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k] :
( ( ( ( SV213
!= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
| ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2519]) ).
thf(2681,plain,
! [SV100: list_l118626078tr_b_c] :
( ( ( SV100
= ( cons_l1809994318tr_b_c @ ( cons_n413985352tr_b_c @ ( sK92_SY817 @ SV100 ) @ ( sK113_SY1663 @ SV100 ) ) @ ( sK143_SY1687 @ SV100 ) ) )
= $true )
| ( ( SV100
= ( cons_l1809994318tr_b_c @ nil_no279930520tr_b_c @ ( sK38_SY816 @ SV100 ) ) )
= $true )
| ( ( SV100 = nil_li198338206tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2520]) ).
thf(2682,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( ! [SY1688: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ ( sK114_SY820 @ SV101 ) @ SY1688 ) ) )
= $false )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2521]) ).
thf(2683,plain,
! [SV374: list_n282880152tr_b_c,SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV101 != nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2522]) ).
thf(2684,plain,
! [SV374: list_n282880152tr_b_c,SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ~ ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $false )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2522]) ).
thf(2685,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ~ ( SV102 @ ( sK144_SY1689 @ SV214 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2523]) ).
thf(2686,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ~ ( SV102 @ ( cons_char @ ( sK115_SY1665 @ SV214 @ SV102 ) @ ( sK144_SY1689 @ SV214 @ SV102 ) ) )
| ( SV102 @ ( cons_char @ ( sK93_SY824 @ SV214 @ SV102 ) @ ( cons_char @ ( sK115_SY1665 @ SV214 @ SV102 ) @ ( sK144_SY1689 @ SV214 @ SV102 ) ) ) ) )
= $false )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2523]) ).
thf(2687,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( SV216 @ none_S1393028981on_j_k )
= $true )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2524]) ).
thf(2688,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $true )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2525]) ).
thf(2689,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 ) )
= $false )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2526]) ).
thf(2690,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) )
= $false )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2526]) ).
thf(2691,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( SV105
!= ( some_S1960742641on_j_k @ ( sK175_SY831 @ SV362 @ SV105 ) ) )
= $false )
| ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2529]) ).
thf(2692,plain,
! [SV106: list_char,SV217: list_char,SV291: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( ! [SY1727: list_char,SY1728: char,SY1729: list_char,SY1730: char,SY1731: list_char] :
( ( ( size_size_list_char @ SY1727 )
!= ( size_size_list_char @ SY1729 ) )
| ( ( size_size_list_char @ SY1729 )
!= ( size_size_list_char @ SY1731 ) )
| ~ ( SV324 @ SY1727 @ SY1729 @ SY1731 )
| ( SV324 @ ( cons_char @ ( sK176_SY1524 @ SV291 @ SV217 @ SV106 @ SV324 ) @ SY1727 ) @ ( cons_char @ SY1728 @ SY1729 ) @ ( cons_char @ SY1730 @ SY1731 ) ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2530]) ).
thf(2693,plain,
! [SV108: list_char] :
( ( ( SV108
= ( cons_char @ ( sK94_SY845 @ SV108 ) @ ( cons_char @ ( sK118_SY1667 @ SV108 ) @ ( sK145_SY1690 @ SV108 ) ) ) )
= $true )
| ( ( SV108
= ( cons_char @ ( sK41_SY844 @ SV108 ) @ nil_char ) )
= $true )
| ( ( SV108 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2531]) ).
thf(2694,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1732: node_p1234578834tr_b_c,SY1733: list_n282880152tr_b_c] :
( ~ ( SV110 @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) @ ( cons_n413985352tr_b_c @ SY1732 @ SY1733 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ SY1733 )
| ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ ( cons_n413985352tr_b_c @ SY1732 @ SY1733 ) ) ) )
= $false )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2532]) ).
thf(2695,plain,
! [SV220: list_n282880152tr_b_c,SV293: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) )
| ( SV111 @ SV220 @ SV293 ) )
= $true )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2533]) ).
thf(2696,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $false )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2534]) ).
thf(2697,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $true )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2535]) ).
thf(2698,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ ( sK148_SY1208 @ SV221 ) )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2536]) ).
thf(2699,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( SV221 @ ( some_S1960742641on_j_k @ ( sK179_SY1209 @ SV221 ) ) ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2537]) ).
thf(2700,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $true )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2538]) ).
thf(2701,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ( SV221 @ none_S1393028981on_j_k )
| ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $true )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2539]) ).
thf(2702,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( splice1294941035tr_b_c @ SV116 @ SV225 )
= nil_no279930520tr_b_c )
= $true )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2542]) ).
thf(2703,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2543]) ).
thf(2704,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) ) )
= $false )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2544]) ).
thf(2705,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ~ ( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) ) )
= $false )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2544]) ).
thf(2706,plain,
! [SV118: list_list_char] :
( ( ( SV118
= ( cons_list_char @ ( cons_char @ ( sK97_SY887 @ SV118 ) @ ( sK120_SY1671 @ SV118 ) ) @ ( sK150_SY1692 @ SV118 ) ) )
= $true )
| ( ( SV118
= ( cons_list_char @ nil_char @ ( sK45_SY886 @ SV118 ) ) )
= $true )
| ( ( SV118 = nil_list_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2545]) ).
thf(2707,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $false )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2546]) ).
thf(2708,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $true )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2547]) ).
thf(2709,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ ( sK151_SY1221 @ SV227 ) )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2548]) ).
thf(2710,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( ~ ( SV227 @ ( some_element_ptr_a @ ( sK180_SY1222 @ SV227 ) ) ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2549]) ).
thf(2711,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $true )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2550]) ).
thf(2712,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ( SV227 @ none_element_ptr_a )
| ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $true )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2551]) ).
thf(2713,plain,
! [SV120: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV295: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1734: list_n282880152tr_b_c,SY1735: node_p1234578834tr_b_c,SY1736: list_n282880152tr_b_c,SY1737: node_p1234578834tr_b_c,SY1738: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ SY1734 )
!= ( size_s2106487044tr_b_c @ SY1736 ) )
| ( ( size_s2106487044tr_b_c @ SY1736 )
!= ( size_s2106487044tr_b_c @ SY1738 ) )
| ~ ( SV325 @ SY1734 @ SY1736 @ SY1738 )
| ( SV325 @ ( cons_n413985352tr_b_c @ ( sK181_SY1530 @ SV295 @ SV228 @ SV120 @ SV325 ) @ SY1734 ) @ ( cons_n413985352tr_b_c @ SY1735 @ SY1736 ) @ ( cons_n413985352tr_b_c @ SY1737 @ SY1738 ) ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2552]) ).
thf(2714,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( splice_char @ SV121 @ SV229 )
= nil_char )
= $true )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2555]) ).
thf(2715,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ~ ( ( SV121 != nil_char )
| ( SV229 != nil_char ) ) )
= $true )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2556]) ).
thf(2716,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( nil_char
= ( append_char @ SV122 @ SV230 ) )
= $true )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2559]) ).
thf(2717,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ~ ( ( SV122 != nil_char )
| ( SV230 != nil_char ) ) )
= $true )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2560]) ).
thf(2718,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( append_char @ SV123 @ SV231 )
= nil_char )
= $true )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2563]) ).
thf(2719,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ~ ( ( SV123 != nil_char )
| ( SV231 != nil_char ) ) )
= $true )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2564]) ).
thf(2720,plain,
! [SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) )
| ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 ) )
= $true )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2565]) ).
thf(2721,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( SV125 != SV297 )
= $false )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2566]) ).
thf(2722,plain,
! [SV297: product_unit,SV125: product_unit,SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k] :
( ( ( SV233 != SV327 )
= $false )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2566]) ).
thf(2723,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
| ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) )
= $false )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2567]) ).
thf(2724,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) )
= $false )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2568]) ).
thf(2725,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2569]) ).
thf(2726,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2570]) ).
thf(2727,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2571]) ).
thf(2728,plain,
! [SV128: option2026120038on_j_k > $o,SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k] :
( ( ( ( SV236
!= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
| ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2572]) ).
thf(2729,plain,
! [SV237: list_n282880152tr_b_c > $o,SV129: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( sK152_SY1693 @ SV129 @ SV237 )
!= nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2573]) ).
thf(2730,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV237 @ ( sK152_SY1693 @ SV129 @ SV237 ) )
| ( SV237 @ ( cons_n413985352tr_b_c @ ( sK121_SY1255 @ SV129 @ SV237 ) @ ( sK152_SY1693 @ SV129 @ SV237 ) ) ) )
= $false )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2573]) ).
thf(2731,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( SV239 @ none_element_ptr_a )
= $true )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2575]) ).
thf(2732,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $true )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2576]) ).
thf(2733,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 ) )
= $false )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2577]) ).
thf(2734,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) )
= $false )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2577]) ).
thf(2735,plain,
! [SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a,SV133: option_element_ptr_a] :
( ( ( ! [SY1464: element_ptr_a,SY1465: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ SY1464 ) )
| ( SV300
!= ( some_element_ptr_a @ SY1465 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2578]) ).
thf(2736,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ! [SY1739: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ ( sK183_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
| ( SV300
!= ( some_element_ptr_a @ SY1739 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2579]) ).
thf(2737,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ! [SY1740: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ ( sK184_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
| ( SV300
!= ( some_element_ptr_a @ SY1740 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2580]) ).
thf(2738,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ( SV133
!= ( some_element_ptr_a @ ( sK153_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
| ( SV300
!= ( some_element_ptr_a @ ( sK185_SY1713 @ SV300 @ SV240 @ SV133 ) ) )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2581]) ).
thf(2739,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
= $true )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2582]) ).
thf(2740,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2583]) ).
thf(2741,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2584]) ).
thf(2742,plain,
! [SV136: option_element_ptr_a > $o,SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a] :
( ( ( ( SV242
!= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
| ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2585]) ).
thf(2743,plain,
! [SV137: list_char] :
( ( ( ! [SY1694: list_char] :
( SV137
!= ( cons_char @ ( sK123_SY950 @ SV137 ) @ SY1694 ) ) )
= $false )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2586]) ).
thf(2744,plain,
! [SV376: list_char,SV364: char,SV137: list_char] :
( ( ( ~ ( ( SV137 != nil_char ) ) )
= $false )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2587]) ).
thf(2745,plain,
! [SV376: list_char,SV364: char,SV137: list_char] :
( ( ( ~ ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $false )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2587]) ).
thf(2746,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
= $false )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2588]) ).
thf(2747,plain,
! [SV138: list_char,SV329: list_char,SV302: char,SV243: list_char] :
( ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false )
| ( ( SV138 = nil_char )
= $false )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2589]) ).
thf(2748,plain,
! [SV329: list_char,SV243: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( ( SV138
!= ( cons_char @ SV302 @ SV384 ) )
| ( ( append_char @ SV384 @ SV243 )
!= SV329 ) )
= $true )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2590]) ).
thf(2749,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY1741: char,SY1742: char,SY1743: list_char] :
( ~ ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ SY1742 @ SY1743 ) )
| ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ SY1741 @ ( cons_char @ SY1742 @ SY1743 ) ) ) ) )
= $false )
| ( ( SV139 @ SV244 @ SV303 )
= $true )
| ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2591]) ).
thf(2750,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( SV140
!= ( some_element_ptr_a @ ( sK188_SY965 @ SV365 @ SV140 ) ) )
= $false )
| ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2594]) ).
thf(2751,plain,
! [SV144: list_n282880152tr_b_c] :
( ( ( SV144
= ( cons_n413985352tr_b_c @ ( sK99_SY973 @ SV144 ) @ ( cons_n413985352tr_b_c @ ( sK125_SY1673 @ SV144 ) @ ( sK154_SY1695 @ SV144 ) ) ) )
= $true )
| ( ( SV144
= ( cons_n413985352tr_b_c @ ( sK50_SY972 @ SV144 ) @ nil_no279930520tr_b_c ) )
= $true )
| ( ( SV144 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2595]) ).
thf(2752,plain,
! [SV249: list_n282880152tr_b_c,SV304: list_char,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) )
| ( SV146 @ SV249 @ SV304 ) )
= $true )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2596]) ).
thf(2753,plain,
! [SV305: list_char > list_char > $o,SV250: list_char,SV147: list_char] :
( ( ( ( ( size_size_list_char @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) )
!= ( size_size_list_char @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) ) )
| ~ ( SV305 @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) )
| ( SV305 @ ( cons_char @ ( sK100_SY1484 @ SV250 @ SV147 @ SV305 ) @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) ) @ ( cons_char @ ( sK156_SY1696 @ SV305 @ SV250 @ SV147 ) @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) ) ) )
= $false )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2597]) ).
thf(2754,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2598]) ).
thf(2755,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2599]) ).
thf(2756,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2600]) ).
thf(2757,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2601]) ).
thf(2758,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
= $false )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2602]) ).
thf(2759,plain,
! [SV150: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c] :
( ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2603]) ).
thf(2760,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
| ( ( append846395565tr_b_c @ SV385 @ SV252 )
!= SV330 ) )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2604]) ).
thf(2761,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( SV151
!= ( cons_char @ ( sK127_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( sK157_SY1698 @ SV308 @ SV253 @ SV151 ) ) )
= $false )
| ( ( SV151 = nil_char )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2605]) ).
thf(2762,plain,
! [SV151: list_char,SV253: list_char,SV308: list_char] :
( ( ( SV308
!= ( cons_char @ ( sK127_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( splice_char @ SV253 @ ( sK157_SY1698 @ SV308 @ SV253 @ SV151 ) ) ) )
= $false )
| ( ( SV151 = nil_char )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2605]) ).
thf(2763,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( SV151
!= ( cons_char @ ( sK128_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( sK158_SY1699 @ SV308 @ SV253 @ SV151 ) ) )
= $false )
| ( ( SV308 = SV253 )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2606]) ).
thf(2764,plain,
! [SV151: list_char,SV253: list_char,SV308: list_char] :
( ( ( SV308
!= ( cons_char @ ( sK128_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( splice_char @ SV253 @ ( sK158_SY1699 @ SV308 @ SV253 @ SV151 ) ) ) )
= $false )
| ( ( SV308 = SV253 )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2606]) ).
thf(2765,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( nil_no279930520tr_b_c
= ( append846395565tr_b_c @ SV156 @ SV256 ) )
= $true )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2609]) ).
thf(2766,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) ) )
= $true )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2610]) ).
thf(2767,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( SV60
= ( cons_n413985352tr_b_c @ ( sK101_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( sK129_SY1678 @ SV268 @ SV181 @ SV60 ) ) )
= $true )
| ( ( SV60 = nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2611]) ).
thf(2768,plain,
! [SV60: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c] :
( ( ( SV268
= ( cons_n413985352tr_b_c @ ( sK101_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( splice1294941035tr_b_c @ SV181 @ ( sK129_SY1678 @ SV268 @ SV181 @ SV60 ) ) ) )
= $true )
| ( ( SV60 = nil_no279930520tr_b_c )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2612]) ).
thf(2769,plain,
! [SV268: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV60: list_n282880152tr_b_c] :
( ( ( SV60
= ( cons_n413985352tr_b_c @ ( sK102_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( sK130_SY1679 @ SV268 @ SV181 @ SV60 ) ) )
= $true )
| ( ( SV268 = SV181 )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2613]) ).
thf(2770,plain,
! [SV60: list_n282880152tr_b_c,SV181: list_n282880152tr_b_c,SV268: list_n282880152tr_b_c] :
( ( ( SV268
= ( cons_n413985352tr_b_c @ ( sK102_SY1343 @ SV181 @ SV268 @ SV60 ) @ ( splice1294941035tr_b_c @ SV181 @ ( sK130_SY1679 @ SV268 @ SV181 @ SV60 ) ) ) )
= $true )
| ( ( SV268 = SV181 )
= $true )
| ( ( ( splice1294941035tr_b_c @ SV60 @ SV181 )
= SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2614]) ).
thf(2771,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ~ ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) ) )
= $true )
| ( ( SV61 @ SV182 @ SV269 )
= $true )
| ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2615]) ).
thf(2772,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) ) )
= $true )
| ( ( SV62 @ SV183 @ SV270 )
= $true )
| ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2616]) ).
thf(2773,plain,
! [SV185: list_n282880152tr_b_c > $o,SV64: list_n282880152tr_b_c] :
( ( ( ( sK133_SY1680 @ SV64 @ SV185 )
!= nil_no279930520tr_b_c )
= $true )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2617]) ).
thf(2774,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV185 @ ( sK133_SY1680 @ SV64 @ SV185 ) ) )
= $false )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2618]) ).
thf(2775,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( SV185 @ ( append846395565tr_b_c @ ( sK133_SY1680 @ SV64 @ SV185 ) @ ( cons_n413985352tr_b_c @ ( sK103_SY1085 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2618]) ).
thf(2776,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( SV65 = SV271 )
= $true )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2619]) ).
thf(2777,plain,
! [SV271: list_char,SV65: list_char,SV320: char,SV186: char] :
( ( ( SV186 = SV320 )
= $true )
| ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2620]) ).
thf(2778,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
!= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $false )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2621]) ).
thf(2779,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( ~ ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) )
= $false )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2621]) ).
thf(2780,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( SV67 @ ( sK134_SY1681 @ SV188 @ SV67 ) )
= $true )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2623]) ).
thf(2781,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV67 @ ( cons_n413985352tr_b_c @ ( sK105_SY1653 @ SV188 @ SV67 ) @ ( sK134_SY1681 @ SV188 @ SV67 ) ) ) )
= $false )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2624]) ).
thf(2782,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK85_SY696 @ SV188 @ SV67 ) @ ( cons_n413985352tr_b_c @ ( sK105_SY1653 @ SV188 @ SV67 ) @ ( sK134_SY1681 @ SV188 @ SV67 ) ) ) )
= $false )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2624]) ).
thf(2783,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1744: node_p1234578834tr_b_c,SY1745: list_n282880152tr_b_c] :
( ~ ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ SY1744 @ SY1745 ) )
| ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK191_SY1716 @ SV189 @ SV273 @ SV68 ) @ ( cons_n413985352tr_b_c @ SY1744 @ SY1745 ) ) ) ) )
= $false )
| ( ( SV68 @ SV189 @ SV273 )
= $true )
| ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2625]) ).
thf(2784,plain,
! [SV190: list_char > $o,SV69: list_char] :
( ( ( ( sK135_SY1682 @ SV69 @ SV190 )
!= nil_char )
= $true )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2626]) ).
thf(2785,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( ~ ( SV190 @ ( sK135_SY1682 @ SV69 @ SV190 ) ) )
= $false )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2627]) ).
thf(2786,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( SV190 @ ( cons_char @ ( sK106_SY1107 @ SV69 @ SV190 ) @ ( sK135_SY1682 @ SV69 @ SV190 ) ) )
= $false )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2627]) ).
thf(2787,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ! [SY1746: element_ptr_a] :
( ( SV71
!= ( some_S1960742641on_j_k @ ( sK192_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
| ( SV274
!= ( some_element_ptr_a @ SY1746 ) )
| ( SV191 @ SV71 @ SV274 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2628]) ).
thf(2788,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ( SV71
!= ( some_S1960742641on_j_k @ ( sK162_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
| ( SV274
!= ( some_element_ptr_a @ ( sK193_SY1719 @ SV274 @ SV191 @ SV71 ) ) )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2629]) ).
thf(2789,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ( SV71
!= ( some_S1960742641on_j_k @ ( sK163_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
| ( SV274
!= ( some_element_ptr_a @ ( sK194_SY1720 @ SV274 @ SV191 @ SV71 ) ) )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2630]) ).
thf(2790,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( SV71
!= ( some_S1960742641on_j_k @ ( sK136_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2631]) ).
thf(2791,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( ( SV274
!= ( some_element_ptr_a @ ( sK164_SY1702 @ SV274 @ SV191 @ SV71 ) ) )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2631]) ).
thf(2792,plain,
! [SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) )
!= ( size_s2106487044tr_b_c @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) ) )
= $false )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2793,plain,
! [SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c,SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV275 @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) )
| ( SV275 @ ( cons_n413985352tr_b_c @ ( sK87_SY1375 @ SV192 @ SV72 @ SV275 ) @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) ) @ ( cons_n413985352tr_b_c @ ( sK137_SY1683 @ SV275 @ SV192 @ SV72 ) @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) ) ) )
= $false )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2794,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2633]) ).
thf(2795,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV386: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV193
!= ( some_element_ptr_a @ SV386 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV386 ) ) ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(2796,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV193
!= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
| ~ ~ ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2635]) ).
thf(2797,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2636]) ).
thf(2798,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2637]) ).
thf(2799,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV387: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV387 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV387 ) ) ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2638]) ).
thf(2800,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
| ~ ~ ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2639]) ).
thf(2801,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2640]) ).
thf(2802,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ! [SY1747: sum_su1221287958on_j_k] :
( ( SV76
!= ( some_element_ptr_a @ ( sK197_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
| ( SV278
!= ( some_S1960742641on_j_k @ SY1747 ) )
| ( SV196 @ SV76 @ SV278 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2641]) ).
thf(2803,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ( SV76
!= ( some_element_ptr_a @ ( sK166_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
| ( SV278
!= ( some_S1960742641on_j_k @ ( sK198_SY1721 @ SV278 @ SV196 @ SV76 ) ) )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2642]) ).
thf(2804,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ( SV76
!= ( some_element_ptr_a @ ( sK167_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
| ( SV278
!= ( some_S1960742641on_j_k @ ( sK199_SY1722 @ SV278 @ SV196 @ SV76 ) ) )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2643]) ).
thf(2805,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( SV76
!= ( some_element_ptr_a @ ( sK138_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2644]) ).
thf(2806,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( ( SV278
!= ( some_S1960742641on_j_k @ ( sK168_SY1704 @ SV278 @ SV196 @ SV76 ) ) )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2644]) ).
thf(2807,plain,
! [SV78: rObjec1413572695_j_k_l] :
( ( ( ! [SY743: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ SY743 )
!= SV78 ) )
= $true )
| ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2646]) ).
thf(2808,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ! [SY1748: list_char] :
( ~ ( SV81 @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) @ ( cons_char @ ( sK200_SY1723 @ SV281 @ SV199 @ SV81 ) @ SY1748 ) )
| ~ ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ SY1748 )
| ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ ( cons_char @ ( sK200_SY1723 @ SV281 @ SV199 @ SV81 ) @ SY1748 ) ) ) )
= $false )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2648]) ).
thf(2809,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) )
| ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) )
= $true )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2649]) ).
thf(2810,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ~ ( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) ) )
| ( SV82 @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) ) )
= $false )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2811,plain,
! [SV200: list_char,SV82: list_char > $o] :
( ( ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) )
= $false )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2812,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( ( SV83 != nil_no279930520tr_b_c )
| ( SV201 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2652]) ).
thf(2813,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2653]) ).
thf(2814,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV388: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV202
!= ( some_element_ptr_a @ SV388 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV388 ) ) ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2654]) ).
thf(2815,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV202
!= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
| ~ ~ ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2655]) ).
thf(2816,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2656]) ).
thf(2817,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 != none_element_ptr_a )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2657]) ).
thf(2818,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV389: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( ( SV203
!= ( some_element_ptr_a @ SV389 ) )
| ( SV87 @ ( SV283 @ SV389 ) ) )
= $true )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2658]) ).
thf(2819,plain,
! [SV87: option2026120038on_j_k > $o,SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a] :
( ( ( ( SV203
!= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
| ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2659]) ).
thf(2820,plain,
! [SV87: option2026120038on_j_k > $o,SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a] :
( ( ( SV203
!= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2660]) ).
thf(2821,plain,
! [SV203: option_element_ptr_a,SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2660]) ).
thf(2822,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( SV88 = SV284 )
= $true )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2661]) ).
thf(2823,plain,
! [SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c,SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c] :
( ( ( SV204 = SV321 )
= $true )
| ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2662]) ).
thf(2824,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
!= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $false )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2663]) ).
thf(2825,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) )
= $false )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2663]) ).
thf(2826,plain,
! [SV207: list_char > $o,SV93: list_char] :
( ( ( ( sK141_SY1686 @ SV93 @ SV207 )
!= nil_char )
= $true )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2665]) ).
thf(2827,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( ~ ( SV207 @ ( sK141_SY1686 @ SV93 @ SV207 ) ) )
= $false )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2828,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( SV207 @ ( append_char @ ( sK141_SY1686 @ SV93 @ SV207 ) @ ( cons_char @ ( sK112_SY1160 @ SV93 @ SV207 ) @ nil_char ) ) )
= $false )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2829,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( SV286 != nil_char )
= $false )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2667]) ).
thf(2830,plain,
! [SV286: list_char,SV322: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
!= SV322 )
= $false )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2667]) ).
thf(2831,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) )
= $false )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2668]) ).
thf(2832,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV379: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV379 )
!= SV286 )
= $true )
| ( ( SV209
!= ( append_char @ SV379 @ SV322 ) )
= $true )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2669]) ).
thf(2833,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( SV287 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2670]) ).
thf(2834,plain,
! [SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 )
= $false )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2670]) ).
thf(2835,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2671]) ).
thf(2836,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
!= SV287 )
= $true )
| ( ( SV211
!= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $true )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2672]) ).
thf(2837,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ! [SY1749: sum_su1221287958on_j_k] :
( ( SV98
!= ( some_S1960742641on_j_k @ ( sK203_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
| ( SV288
!= ( some_S1960742641on_j_k @ SY1749 ) )
| ( SV212 @ SV98 @ SV288 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2673]) ).
thf(2838,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ( SV98
!= ( some_S1960742641on_j_k @ ( sK171_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
| ( SV288
!= ( some_S1960742641on_j_k @ ( sK204_SY1725 @ SV288 @ SV212 @ SV98 ) ) )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2674]) ).
thf(2839,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ( SV98
!= ( some_S1960742641on_j_k @ ( sK172_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
| ( SV288
!= ( some_S1960742641on_j_k @ ( sK205_SY1726 @ SV288 @ SV212 @ SV98 ) ) )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2675]) ).
thf(2840,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( SV98
!= ( some_S1960742641on_j_k @ ( sK142_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2676]) ).
thf(2841,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( ( SV288
!= ( some_S1960742641on_j_k @ ( sK173_SY1708 @ SV288 @ SV212 @ SV98 ) ) )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2676]) ).
thf(2842,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 != none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(2843,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV390: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( ( SV213
!= ( some_S1960742641on_j_k @ SV390 ) )
| ( SV99 @ ( SV289 @ SV390 ) ) )
= $true )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2678]) ).
thf(2844,plain,
! [SV99: option_element_ptr_a > $o,SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k] :
( ( ( ( SV213
!= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
| ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2679]) ).
thf(2845,plain,
! [SV99: option_element_ptr_a > $o,SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k] :
( ( ( SV213
!= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2680]) ).
thf(2846,plain,
! [SV213: option2026120038on_j_k,SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2680]) ).
thf(2847,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( SV101
!= ( cons_n413985352tr_b_c @ ( sK114_SY820 @ SV101 ) @ ( sK207_SY1688 @ SV101 ) ) )
= $false )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2682]) ).
thf(2848,plain,
! [SV374: list_n282880152tr_b_c,SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( SV101 != nil_no279930520tr_b_c )
= $true )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2683]) ).
thf(2849,plain,
! [SV374: list_n282880152tr_b_c,SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ~ ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $true )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2684]) ).
thf(2850,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( SV102 @ ( sK144_SY1689 @ SV214 @ SV102 ) )
= $true )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2685]) ).
thf(2851,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( ~ ( SV102 @ ( cons_char @ ( sK115_SY1665 @ SV214 @ SV102 ) @ ( sK144_SY1689 @ SV214 @ SV102 ) ) ) )
= $false )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2686]) ).
thf(2852,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( SV102 @ ( cons_char @ ( sK93_SY824 @ SV214 @ SV102 ) @ ( cons_char @ ( sK115_SY1665 @ SV214 @ SV102 ) @ ( sK144_SY1689 @ SV214 @ SV102 ) ) ) )
= $false )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2686]) ).
thf(2853,plain,
! [SV391: sum_su1221287958on_j_k,SV216: option2026120038on_j_k > $o] :
( ( ( SV216 @ ( some_S1960742641on_j_k @ SV391 ) )
= $true )
| ( ( SV216 @ ( sK40_SY1180 @ SV216 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2688]) ).
thf(2854,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ! [SY1180: option2026120038on_j_k] : ( SV216 @ SY1180 ) )
= $true )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2689]) ).
thf(2855,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) ) )
= $true )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2690]) ).
thf(2856,plain,
! [SV362: sum_su1221287958on_j_k,SV105: option2026120038on_j_k] :
( ( ( SV105
= ( some_S1960742641on_j_k @ ( sK175_SY831 @ SV362 @ SV105 ) ) )
= $true )
| ( ( SV105
= ( some_S1960742641on_j_k @ SV362 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2691]) ).
thf(2857,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ! [SY1750: char,SY1751: list_char,SY1752: char,SY1753: list_char] :
( ( ( size_size_list_char @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) )
!= ( size_size_list_char @ SY1751 ) )
| ( ( size_size_list_char @ SY1751 )
!= ( size_size_list_char @ SY1753 ) )
| ~ ( SV324 @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) @ SY1751 @ SY1753 )
| ( SV324 @ ( cons_char @ ( sK176_SY1524 @ SV291 @ SV217 @ SV106 @ SV324 ) @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) ) @ ( cons_char @ SY1750 @ SY1751 ) @ ( cons_char @ SY1752 @ SY1753 ) ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2692]) ).
thf(2858,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1754: list_n282880152tr_b_c] :
( ~ ( SV110 @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) @ ( cons_n413985352tr_b_c @ ( sK209_SY1732 @ SV292 @ SV219 @ SV110 ) @ SY1754 ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ SY1754 )
| ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ ( cons_n413985352tr_b_c @ ( sK209_SY1732 @ SV292 @ SV219 @ SV110 ) @ SY1754 ) ) ) )
= $false )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2694]) ).
thf(2859,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) ) )
= $true )
| ( ( SV111 @ SV220 @ SV293 )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2695]) ).
thf(2860,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( SV221 @ ( sK210_SY1208 @ SV366 @ SV221 ) ) )
= $false )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2696]) ).
thf(2861,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2697]) ).
thf(2862,plain,
! [SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ ( some_S1960742641on_j_k @ ( sK179_SY1209 @ SV221 ) ) )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2699]) ).
thf(2863,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ! [SY1208: option2026120038on_j_k] :
~ ( SV221 @ SY1208 ) )
= $false )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2700]) ).
thf(2864,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( ~ ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $true )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2701]) ).
thf(2865,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( ( SV116 != nil_no279930520tr_b_c )
| ( SV225 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2703]) ).
thf(2866,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) )
= $true )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2704]) ).
thf(2867,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ~ ( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) ) )
= $false )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2705]) ).
thf(2868,plain,
! [SV226: list_n282880152tr_b_c,SV117: list_n282880152tr_b_c > $o] :
( ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) )
= $false )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2705]) ).
thf(2869,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ( SV227 @ ( sK211_SY1221 @ SV367 @ SV227 ) ) )
= $false )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2707]) ).
thf(2870,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2708]) ).
thf(2871,plain,
! [SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ ( some_element_ptr_a @ ( sK180_SY1222 @ SV227 ) ) )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2710]) ).
thf(2872,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ! [SY1221: option_element_ptr_a] :
~ ( SV227 @ SY1221 ) )
= $false )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2711]) ).
thf(2873,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( ~ ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $true )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2712]) ).
thf(2874,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ! [SY1755: node_p1234578834tr_b_c,SY1756: list_n282880152tr_b_c,SY1757: node_p1234578834tr_b_c,SY1758: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) )
!= ( size_s2106487044tr_b_c @ SY1756 ) )
| ( ( size_s2106487044tr_b_c @ SY1756 )
!= ( size_s2106487044tr_b_c @ SY1758 ) )
| ~ ( SV325 @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) @ SY1756 @ SY1758 )
| ( SV325 @ ( cons_n413985352tr_b_c @ ( sK181_SY1530 @ SV295 @ SV228 @ SV120 @ SV325 ) @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) ) @ ( cons_n413985352tr_b_c @ SY1755 @ SY1756 ) @ ( cons_n413985352tr_b_c @ SY1757 @ SY1758 ) ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2713]) ).
thf(2875,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( ( SV121 != nil_char )
| ( SV229 != nil_char ) )
= $false )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(2876,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( ( SV122 != nil_char )
| ( SV230 != nil_char ) )
= $false )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2877,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( ( SV123 != nil_char )
| ( SV231 != nil_char ) )
= $false )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2719]) ).
thf(2878,plain,
! [SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ~ ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) ) )
= $true )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2720]) ).
thf(2879,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( SV125 = SV297 )
= $true )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2721]) ).
thf(2880,plain,
! [SV297: product_unit,SV125: product_unit,SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k] :
( ( ( SV233 = SV327 )
= $true )
| ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2722]) ).
thf(2881,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
!= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $false )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2723]) ).
thf(2882,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( ~ ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) )
= $false )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2723]) ).
thf(2883,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2724]) ).
thf(2884,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) )
= $false )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2724]) ).
thf(2885,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 != none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2725]) ).
thf(2886,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV392: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( ( SV236
!= ( some_S1960742641on_j_k @ SV392 ) )
| ( SV128 @ ( SV299 @ SV392 ) ) )
= $true )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2726]) ).
thf(2887,plain,
! [SV128: option2026120038on_j_k > $o,SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k] :
( ( ( ( SV236
!= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
| ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2727]) ).
thf(2888,plain,
! [SV128: option2026120038on_j_k > $o,SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
!= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2728]) ).
thf(2889,plain,
! [SV236: option2026120038on_j_k,SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2728]) ).
thf(2890,plain,
! [SV237: list_n282880152tr_b_c > $o,SV129: list_n282880152tr_b_c] :
( ( ( ( sK152_SY1693 @ SV129 @ SV237 )
!= nil_no279930520tr_b_c )
= $true )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2729]) ).
thf(2891,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV237 @ ( sK152_SY1693 @ SV129 @ SV237 ) ) )
= $false )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2730]) ).
thf(2892,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK121_SY1255 @ SV129 @ SV237 ) @ ( sK152_SY1693 @ SV129 @ SV237 ) ) )
= $false )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2730]) ).
thf(2893,plain,
! [SV393: element_ptr_a,SV239: option_element_ptr_a > $o] :
( ( ( SV239 @ ( some_element_ptr_a @ SV393 ) )
= $true )
| ( ( SV239 @ ( sK46_SY1257 @ SV239 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2732]) ).
thf(2894,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ! [SY1257: option_element_ptr_a] : ( SV239 @ SY1257 ) )
= $true )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2733]) ).
thf(2895,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) ) )
= $true )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2734]) ).
thf(2896,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ! [SY1759: element_ptr_a] :
( ( SV133
!= ( some_element_ptr_a @ ( sK214_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
| ( SV300
!= ( some_element_ptr_a @ SY1759 ) )
| ( SV240 @ SV133 @ SV300 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2735]) ).
thf(2897,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ( SV133
!= ( some_element_ptr_a @ ( sK183_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
| ( SV300
!= ( some_element_ptr_a @ ( sK215_SY1739 @ SV300 @ SV240 @ SV133 ) ) )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2736]) ).
thf(2898,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ( SV133
!= ( some_element_ptr_a @ ( sK184_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
| ( SV300
!= ( some_element_ptr_a @ ( sK216_SY1740 @ SV300 @ SV240 @ SV133 ) ) )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2737]) ).
thf(2899,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( SV133
!= ( some_element_ptr_a @ ( sK153_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2738]) ).
thf(2900,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( ( SV300
!= ( some_element_ptr_a @ ( sK185_SY1713 @ SV300 @ SV240 @ SV133 ) ) )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2738]) ).
thf(2901,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 != none_element_ptr_a )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2739]) ).
thf(2902,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV394: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( ( SV242
!= ( some_element_ptr_a @ SV394 ) )
| ( SV136 @ ( SV301 @ SV394 ) ) )
= $true )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2740]) ).
thf(2903,plain,
! [SV136: option_element_ptr_a > $o,SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a] :
( ( ( ( SV242
!= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
| ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2741]) ).
thf(2904,plain,
! [SV136: option_element_ptr_a > $o,SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
!= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2742]) ).
thf(2905,plain,
! [SV242: option_element_ptr_a,SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2742]) ).
thf(2906,plain,
! [SV137: list_char] :
( ( ( SV137
!= ( cons_char @ ( sK123_SY950 @ SV137 ) @ ( sK218_SY1694 @ SV137 ) ) )
= $false )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2743]) ).
thf(2907,plain,
! [SV376: list_char,SV364: char,SV137: list_char] :
( ( ( SV137 != nil_char )
= $true )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2744]) ).
thf(2908,plain,
! [SV376: list_char,SV364: char,SV137: list_char] :
( ( ( ~ ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $true )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2745]) ).
thf(2909,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( SV138 != nil_char )
= $false )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2746]) ).
thf(2910,plain,
! [SV138: list_char,SV329: list_char,SV302: char,SV243: list_char] :
( ( ( SV243
!= ( cons_char @ SV302 @ SV329 ) )
= $false )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2746]) ).
thf(2911,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) )
= $false )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2747]) ).
thf(2912,plain,
! [SV329: list_char,SV243: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
!= ( cons_char @ SV302 @ SV384 ) )
= $true )
| ( ( ( append_char @ SV384 @ SV243 )
!= SV329 )
= $true )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2748]) ).
thf(2913,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY1760: char,SY1761: list_char] :
( ~ ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ SY1760 @ SY1761 ) )
| ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK219_SY1741 @ SV244 @ SV303 @ SV139 ) @ ( cons_char @ SY1760 @ SY1761 ) ) ) ) )
= $false )
| ( ( SV139 @ SV244 @ SV303 )
= $true )
| ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2749]) ).
thf(2914,plain,
! [SV365: element_ptr_a,SV140: option_element_ptr_a] :
( ( ( SV140
= ( some_element_ptr_a @ ( sK188_SY965 @ SV365 @ SV140 ) ) )
= $true )
| ( ( SV140
= ( some_element_ptr_a @ SV365 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2750]) ).
thf(2915,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ~ ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) ) )
= $true )
| ( ( SV146 @ SV249 @ SV304 )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2752]) ).
thf(2916,plain,
! [SV305: list_char > list_char > $o,SV250: list_char,SV147: list_char] :
( ( ( ( size_size_list_char @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) )
!= ( size_size_list_char @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) ) )
= $false )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2753]) ).
thf(2917,plain,
! [SV250: list_char,SV147: list_char,SV305: list_char > list_char > $o] :
( ( ( ~ ( SV305 @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) )
| ( SV305 @ ( cons_char @ ( sK100_SY1484 @ SV250 @ SV147 @ SV305 ) @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) ) @ ( cons_char @ ( sK156_SY1696 @ SV305 @ SV250 @ SV147 ) @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) ) ) )
= $false )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2753]) ).
thf(2918,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2754]) ).
thf(2919,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV395: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV395 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV395 ) ) ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2755]) ).
thf(2920,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
| ~ ~ ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2756]) ).
thf(2921,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2757]) ).
thf(2922,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2758]) ).
thf(2923,plain,
! [SV150: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c] :
( ( ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2758]) ).
thf(2924,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2759]) ).
thf(2925,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
!= SV330 )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2760]) ).
thf(2926,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( SV151
= ( cons_char @ ( sK127_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( sK157_SY1698 @ SV308 @ SV253 @ SV151 ) ) )
= $true )
| ( ( SV151 = nil_char )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2761]) ).
thf(2927,plain,
! [SV151: list_char,SV253: list_char,SV308: list_char] :
( ( ( SV308
= ( cons_char @ ( sK127_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( splice_char @ SV253 @ ( sK157_SY1698 @ SV308 @ SV253 @ SV151 ) ) ) )
= $true )
| ( ( SV151 = nil_char )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2762]) ).
thf(2928,plain,
! [SV308: list_char,SV253: list_char,SV151: list_char] :
( ( ( SV151
= ( cons_char @ ( sK128_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( sK158_SY1699 @ SV308 @ SV253 @ SV151 ) ) )
= $true )
| ( ( SV308 = SV253 )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2763]) ).
thf(2929,plain,
! [SV151: list_char,SV253: list_char,SV308: list_char] :
( ( ( SV308
= ( cons_char @ ( sK128_SY1491 @ SV253 @ SV308 @ SV151 ) @ ( splice_char @ SV253 @ ( sK158_SY1699 @ SV308 @ SV253 @ SV151 ) ) ) )
= $true )
| ( ( SV308 = SV253 )
= $true )
| ( ( ( splice_char @ SV151 @ SV253 )
= SV308 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2764]) ).
thf(2930,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( ( SV156 != nil_no279930520tr_b_c )
| ( SV256 != nil_no279930520tr_b_c ) )
= $false )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2766]) ).
thf(2931,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ! [SY667: char,SY668: list_char,SY669: char,SY670: list_char] :
( ~ ( SV61 @ SY668 @ SY670 )
| ( SV61 @ ( cons_char @ SY667 @ SY668 ) @ ( cons_char @ SY669 @ SY670 ) ) ) )
= $false )
| ( ( SV61 @ SV182 @ SV269 )
= $true )
| ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2771]) ).
thf(2932,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ! [SY677: char,SY678: list_char,SY679: node_p1234578834tr_b_c,SY680: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY678 @ SY680 )
| ( SV62 @ ( cons_char @ SY677 @ SY678 ) @ ( cons_n413985352tr_b_c @ SY679 @ SY680 ) ) ) )
= $false )
| ( ( SV62 @ SV183 @ SV270 )
= $true )
| ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2772]) ).
thf(2933,plain,
! [SV185: list_n282880152tr_b_c > $o,SV64: list_n282880152tr_b_c] :
( ( ( ( sK133_SY1680 @ SV64 @ SV185 )
= nil_no279930520tr_b_c )
= $false )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(2934,plain,
! [SV64: list_n282880152tr_b_c,SV185: list_n282880152tr_b_c > $o] :
( ( ( SV185 @ ( sK133_SY1680 @ SV64 @ SV185 ) )
= $true )
| ( ( SV185 @ SV64 )
= $true )
| ( ( SV185 @ ( cons_n413985352tr_b_c @ ( sK56_SY1084 @ SV64 @ SV185 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV64 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2774]) ).
thf(2935,plain,
! [SV320: char,SV271: list_char,SV186: char,SV65: list_char] :
( ( ( ( append_char @ SV65 @ ( cons_char @ SV186 @ nil_char ) )
= ( append_char @ SV271 @ ( cons_char @ SV320 @ nil_char ) ) )
= $true )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2778]) ).
thf(2936,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( ~ ( ( SV65 != SV271 )
| ( SV186 != SV320 ) ) )
= $true )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2779]) ).
thf(2937,plain,
! [SV188: list_n282880152tr_b_c,SV67: list_n282880152tr_b_c > $o] :
( ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK105_SY1653 @ SV188 @ SV67 ) @ ( sK134_SY1681 @ SV188 @ SV67 ) ) )
= $true )
| ( ( SV67 @ SV188 )
= $true )
| ( ( SV67 @ ( cons_n413985352tr_b_c @ ( sK31_SY695 @ SV188 @ SV67 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV67 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2781]) ).
thf(2938,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1762: list_n282880152tr_b_c] :
( ~ ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK221_SY1744 @ SV189 @ SV273 @ SV68 ) @ SY1762 ) )
| ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK191_SY1716 @ SV189 @ SV273 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK221_SY1744 @ SV189 @ SV273 @ SV68 ) @ SY1762 ) ) ) ) )
= $false )
| ( ( SV68 @ SV189 @ SV273 )
= $true )
| ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2783]) ).
thf(2939,plain,
! [SV190: list_char > $o,SV69: list_char] :
( ( ( ( sK135_SY1682 @ SV69 @ SV190 )
= nil_char )
= $false )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2784]) ).
thf(2940,plain,
! [SV69: list_char,SV190: list_char > $o] :
( ( ( SV190 @ ( sK135_SY1682 @ SV69 @ SV190 ) )
= $true )
| ( ( SV190 @ SV69 )
= $true )
| ( ( SV190 @ ( cons_char @ ( sK57_SY1106 @ SV69 @ SV190 ) @ nil_char ) )
= $false )
| ( ( SV69 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2785]) ).
thf(2941,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( ( SV71
!= ( some_S1960742641on_j_k @ ( sK192_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
| ( SV274
!= ( some_element_ptr_a @ ( sK222_SY1746 @ SV274 @ SV191 @ SV71 ) ) )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2787]) ).
thf(2942,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( SV71
!= ( some_S1960742641on_j_k @ ( sK162_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2788]) ).
thf(2943,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( ( SV274
!= ( some_element_ptr_a @ ( sK193_SY1719 @ SV274 @ SV191 @ SV71 ) ) )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2788]) ).
thf(2944,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( SV71
!= ( some_S1960742641on_j_k @ ( sK163_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2789]) ).
thf(2945,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( ( SV274
!= ( some_element_ptr_a @ ( sK194_SY1720 @ SV274 @ SV191 @ SV71 ) ) )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2789]) ).
thf(2946,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( SV71
= ( some_S1960742641on_j_k @ ( sK136_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2790]) ).
thf(2947,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( SV274
!= ( some_element_ptr_a @ ( sK164_SY1702 @ SV274 @ SV191 @ SV71 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2791]) ).
thf(2948,plain,
! [SV274: option_element_ptr_a,SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o] :
( ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2791]) ).
thf(2949,plain,
! [SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) )
= ( size_s2106487044tr_b_c @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) ) )
= $true )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2792]) ).
thf(2950,plain,
! [SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c,SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV275 @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) ) )
= $false )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2793]) ).
thf(2951,plain,
! [SV72: list_n282880152tr_b_c,SV192: list_n282880152tr_b_c,SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV275 @ ( cons_n413985352tr_b_c @ ( sK87_SY1375 @ SV192 @ SV72 @ SV275 ) @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) ) @ ( cons_n413985352tr_b_c @ ( sK137_SY1683 @ SV275 @ SV192 @ SV72 ) @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) ) )
= $false )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2793]) ).
thf(2952,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2794]) ).
thf(2953,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV386: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193
!= ( some_element_ptr_a @ SV386 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV386 ) ) ) )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2795]) ).
thf(2954,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193
!= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
| ~ ~ ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2796]) ).
thf(2955,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV193
!= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
| ~ ~ ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2797]) ).
thf(2956,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2798]) ).
thf(2957,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV387: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV387 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV387 ) ) ) )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2799]) ).
thf(2958,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195
!= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
| ~ ~ ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2800]) ).
thf(2959,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
| ~ ~ ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2801]) ).
thf(2960,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( ( SV76
!= ( some_element_ptr_a @ ( sK197_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
| ( SV278
!= ( some_S1960742641on_j_k @ ( sK225_SY1747 @ SV278 @ SV196 @ SV76 ) ) )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2802]) ).
thf(2961,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( SV76
!= ( some_element_ptr_a @ ( sK166_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2803]) ).
thf(2962,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( ( SV278
!= ( some_S1960742641on_j_k @ ( sK198_SY1721 @ SV278 @ SV196 @ SV76 ) ) )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2803]) ).
thf(2963,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( SV76
!= ( some_element_ptr_a @ ( sK167_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2804]) ).
thf(2964,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( ( SV278
!= ( some_S1960742641on_j_k @ ( sK199_SY1722 @ SV278 @ SV196 @ SV76 ) ) )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2804]) ).
thf(2965,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( SV76
= ( some_element_ptr_a @ ( sK138_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2805]) ).
thf(2966,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( SV278
!= ( some_S1960742641on_j_k @ ( sK168_SY1704 @ SV278 @ SV196 @ SV76 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2806]) ).
thf(2967,plain,
! [SV278: option2026120038on_j_k,SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o] :
( ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2806]) ).
thf(2968,plain,
! [SV78: rObjec1413572695_j_k_l,SV396: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV396 )
!= SV78 )
= $true )
| ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2807]) ).
thf(2969,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ~ ( SV81 @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) @ ( cons_char @ ( sK200_SY1723 @ SV281 @ SV199 @ SV81 ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) ) )
| ~ ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) )
| ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ ( cons_char @ ( sK200_SY1723 @ SV281 @ SV199 @ SV81 ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) ) ) )
= $false )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2808]) ).
thf(2970,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) )
= $true )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2809]) ).
thf(2971,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) ) )
| ( SV82 @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) ) )
= $true )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2810]) ).
thf(2972,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( SV83 != nil_no279930520tr_b_c )
= $false )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2812]) ).
thf(2973,plain,
! [SV83: list_n282880152tr_b_c,SV201: list_n282880152tr_b_c] :
( ( ( SV201 != nil_no279930520tr_b_c )
= $false )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2812]) ).
thf(2974,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2813]) ).
thf(2975,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV388: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202
!= ( some_element_ptr_a @ SV388 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV388 ) ) ) )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2814]) ).
thf(2976,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202
!= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
| ~ ~ ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2815]) ).
thf(2977,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV202
!= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
| ~ ~ ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2816]) ).
thf(2978,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 = none_element_ptr_a )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2817]) ).
thf(2979,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV389: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
!= ( some_element_ptr_a @ SV389 ) )
= $true )
| ( ( SV87 @ ( SV283 @ SV389 ) )
= $true )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2818]) ).
thf(2980,plain,
! [SV87: option2026120038on_j_k > $o,SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a] :
( ( ( SV203
!= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2819]) ).
thf(2981,plain,
! [SV203: option_element_ptr_a,SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2819]) ).
thf(2982,plain,
! [SV87: option2026120038on_j_k > $o,SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a] :
( ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2820]) ).
thf(2983,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2821]) ).
thf(2984,plain,
! [SV321: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV204: node_p1234578834tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV88 @ ( cons_n413985352tr_b_c @ SV204 @ nil_no279930520tr_b_c ) )
= ( append846395565tr_b_c @ SV284 @ ( cons_n413985352tr_b_c @ SV321 @ nil_no279930520tr_b_c ) ) )
= $true )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2824]) ).
thf(2985,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV88 != SV284 )
| ( SV204 != SV321 ) ) )
= $true )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2825]) ).
thf(2986,plain,
! [SV207: list_char > $o,SV93: list_char] :
( ( ( ( sK141_SY1686 @ SV93 @ SV207 )
= nil_char )
= $false )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2826]) ).
thf(2987,plain,
! [SV93: list_char,SV207: list_char > $o] :
( ( ( SV207 @ ( sK141_SY1686 @ SV93 @ SV207 ) )
= $true )
| ( ( SV207 @ SV93 )
= $true )
| ( ( SV207 @ ( cons_char @ ( sK61_SY1159 @ SV93 @ SV207 ) @ nil_char ) )
= $false )
| ( ( SV93 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2827]) ).
thf(2988,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( SV286 = nil_char )
= $true )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2829]) ).
thf(2989,plain,
! [SV286: list_char,SV322: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2830]) ).
thf(2990,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
= $false )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2831]) ).
thf(2991,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) )
= $false )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2831]) ).
thf(2992,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV379: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
!= ( append_char @ SV379 @ SV322 ) )
= $true )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2832]) ).
thf(2993,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2833]) ).
thf(2994,plain,
! [SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2834]) ).
thf(2995,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2835]) ).
thf(2996,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2835]) ).
thf(2997,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
!= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $true )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2836]) ).
thf(2998,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( ( SV98
!= ( some_S1960742641on_j_k @ ( sK203_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
| ( SV288
!= ( some_S1960742641on_j_k @ ( sK228_SY1749 @ SV288 @ SV212 @ SV98 ) ) )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2837]) ).
thf(2999,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( SV98
!= ( some_S1960742641on_j_k @ ( sK171_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2838]) ).
thf(3000,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( ( SV288
!= ( some_S1960742641on_j_k @ ( sK204_SY1725 @ SV288 @ SV212 @ SV98 ) ) )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2838]) ).
thf(3001,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( SV98
!= ( some_S1960742641on_j_k @ ( sK172_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2839]) ).
thf(3002,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( ( SV288
!= ( some_S1960742641on_j_k @ ( sK205_SY1726 @ SV288 @ SV212 @ SV98 ) ) )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2839]) ).
thf(3003,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( SV98
= ( some_S1960742641on_j_k @ ( sK142_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2840]) ).
thf(3004,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( SV288
!= ( some_S1960742641on_j_k @ ( sK173_SY1708 @ SV288 @ SV212 @ SV98 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2841]) ).
thf(3005,plain,
! [SV288: option2026120038on_j_k,SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o] :
( ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2841]) ).
thf(3006,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 = none_S1393028981on_j_k )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(3007,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV390: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
!= ( some_S1960742641on_j_k @ SV390 ) )
= $true )
| ( ( SV99 @ ( SV289 @ SV390 ) )
= $true )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2843]) ).
thf(3008,plain,
! [SV99: option_element_ptr_a > $o,SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k] :
( ( ( SV213
!= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2844]) ).
thf(3009,plain,
! [SV213: option2026120038on_j_k,SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2844]) ).
thf(3010,plain,
! [SV99: option_element_ptr_a > $o,SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k] :
( ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2845]) ).
thf(3011,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2846]) ).
thf(3012,plain,
! [SV101: list_n282880152tr_b_c] :
( ( ( SV101
= ( cons_n413985352tr_b_c @ ( sK114_SY820 @ SV101 ) @ ( sK207_SY1688 @ SV101 ) ) )
= $true )
| ( ( SV101 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2847]) ).
thf(3013,plain,
! [SV374: list_n282880152tr_b_c,SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( SV101 = nil_no279930520tr_b_c )
= $false )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2848]) ).
thf(3014,plain,
! [SV374: list_n282880152tr_b_c,SV361: node_p1234578834tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ! [SY820: node_p1234578834tr_b_c] :
~ ~ ! [SY821: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ SY820 @ SY821 ) ) )
= $false )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2849]) ).
thf(3015,plain,
! [SV214: list_char,SV102: list_char > $o] :
( ( ( SV102 @ ( cons_char @ ( sK115_SY1665 @ SV214 @ SV102 ) @ ( sK144_SY1689 @ SV214 @ SV102 ) ) )
= $true )
| ( ( SV102 @ SV214 )
= $true )
| ( ( SV102 @ ( cons_char @ ( sK39_SY823 @ SV214 @ SV102 ) @ nil_char ) )
= $false )
| ( ( SV102 @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2851]) ).
thf(3016,plain,
! [SV397: option2026120038on_j_k,SV216: option2026120038on_j_k > $o] :
( ( ( SV216 @ SV397 )
= $true )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2854]) ).
thf(3017,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( SV216 @ none_S1393028981on_j_k )
| ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $false )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2855]) ).
thf(3018,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ! [SY1763: list_char,SY1764: char,SY1765: list_char] :
( ( ( size_size_list_char @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) )
!= ( size_size_list_char @ SY1763 ) )
| ( ( size_size_list_char @ SY1763 )
!= ( size_size_list_char @ SY1765 ) )
| ~ ( SV324 @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) @ SY1763 @ SY1765 )
| ( SV324 @ ( cons_char @ ( sK176_SY1524 @ SV291 @ SV217 @ SV106 @ SV324 ) @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) ) @ ( cons_char @ ( sK229_SY1750 @ SV324 @ SV291 @ SV217 @ SV106 ) @ SY1763 ) @ ( cons_char @ SY1764 @ SY1765 ) ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2857]) ).
thf(3019,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV110 @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) @ ( cons_n413985352tr_b_c @ ( sK209_SY1732 @ SV292 @ SV219 @ SV110 ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) ) )
| ~ ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) )
| ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ ( cons_n413985352tr_b_c @ ( sK209_SY1732 @ SV292 @ SV219 @ SV110 ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) ) ) )
= $false )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2858]) ).
thf(3020,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY864: node_p1234578834tr_b_c,SY865: list_n282880152tr_b_c,SY866: node_p1234578834tr_b_c,SY867: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY865 @ SY867 )
| ( SV111 @ ( cons_n413985352tr_b_c @ SY864 @ SY865 ) @ ( cons_n413985352tr_b_c @ SY866 @ SY867 ) ) ) )
= $false )
| ( ( SV111 @ SV220 @ SV293 )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2859]) ).
thf(3021,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ ( sK210_SY1208 @ SV366 @ SV221 ) )
= $true )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2860]) ).
thf(3022,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( SV221 @ ( some_S1960742641on_j_k @ ( sK231_SY1209 @ SV366 @ SV221 ) ) ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2861]) ).
thf(3023,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( SV221 @ ( sK232_SY1208 @ SV370 @ SV221 ) ) )
= $false )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2863]) ).
thf(3024,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ! [SY1209: sum_su1221287958on_j_k] :
~ ( SV221 @ ( some_S1960742641on_j_k @ SY1209 ) ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2864]) ).
thf(3025,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( SV116 != nil_no279930520tr_b_c )
= $false )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2865]) ).
thf(3026,plain,
! [SV116: list_n282880152tr_b_c,SV225: list_n282880152tr_b_c] :
( ( ( SV225 != nil_no279930520tr_b_c )
= $false )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2865]) ).
thf(3027,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) )
= $true )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2866]) ).
thf(3028,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) ) )
| ( SV117 @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) ) )
= $true )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2867]) ).
thf(3029,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ ( sK211_SY1221 @ SV367 @ SV227 ) )
= $true )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2869]) ).
thf(3030,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ( SV227 @ ( some_element_ptr_a @ ( sK233_SY1222 @ SV367 @ SV227 ) ) ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2870]) ).
thf(3031,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ( SV227 @ ( sK234_SY1221 @ SV371 @ SV227 ) ) )
= $false )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2872]) ).
thf(3032,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ! [SY1222: element_ptr_a] :
~ ( SV227 @ ( some_element_ptr_a @ SY1222 ) ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2873]) ).
thf(3033,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ! [SY1766: list_n282880152tr_b_c,SY1767: node_p1234578834tr_b_c,SY1768: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) )
!= ( size_s2106487044tr_b_c @ SY1766 ) )
| ( ( size_s2106487044tr_b_c @ SY1766 )
!= ( size_s2106487044tr_b_c @ SY1768 ) )
| ~ ( SV325 @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) @ SY1766 @ SY1768 )
| ( SV325 @ ( cons_n413985352tr_b_c @ ( sK181_SY1530 @ SV295 @ SV228 @ SV120 @ SV325 ) @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) ) @ ( cons_n413985352tr_b_c @ ( sK235_SY1755 @ SV325 @ SV295 @ SV228 @ SV120 ) @ SY1766 ) @ ( cons_n413985352tr_b_c @ SY1767 @ SY1768 ) ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2874]) ).
thf(3034,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( SV121 != nil_char )
= $false )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2875]) ).
thf(3035,plain,
! [SV121: list_char,SV229: list_char] :
( ( ( SV229 != nil_char )
= $false )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2875]) ).
thf(3036,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( SV122 != nil_char )
= $false )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(3037,plain,
! [SV122: list_char,SV230: list_char] :
( ( ( SV230 != nil_char )
= $false )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(3038,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( SV123 != nil_char )
= $false )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2877]) ).
thf(3039,plain,
! [SV123: list_char,SV231: list_char] :
( ( ( SV231 != nil_char )
= $false )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2877]) ).
thf(3040,plain,
! [SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ! [SY1577: char,SY1578: list_char,SY1579: char,SY1580: list_char,SY1581: char,SY1582: list_char,SY1583: char,SY1584: list_char] :
( ( ( size_size_list_char @ SY1578 )
!= ( size_size_list_char @ SY1580 ) )
| ( ( size_size_list_char @ SY1580 )
!= ( size_size_list_char @ SY1582 ) )
| ( ( size_size_list_char @ SY1582 )
!= ( size_size_list_char @ SY1584 ) )
| ~ ( SV342 @ SY1578 @ SY1580 @ SY1582 @ SY1584 )
| ( SV342 @ ( cons_char @ SY1577 @ SY1578 ) @ ( cons_char @ SY1579 @ SY1580 ) @ ( cons_char @ SY1581 @ SY1582 ) @ ( cons_char @ SY1583 @ SY1584 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2878]) ).
thf(3041,plain,
! [SV327: rDocum326988203on_j_k,SV297: product_unit,SV233: rDocum326988203on_j_k,SV125: product_unit] :
( ( ( ( rObjec1303043984on_j_k @ SV125 @ SV233 )
= ( rObjec1303043984on_j_k @ SV297 @ SV327 ) )
= $true )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2881]) ).
thf(3042,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( ~ ( ( SV125 != SV297 )
| ( SV233 != SV327 ) ) )
= $true )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2882]) ).
thf(3043,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2883]) ).
thf(3044,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2884]) ).
thf(3045,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 = none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2885]) ).
thf(3046,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV392: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
!= ( some_S1960742641on_j_k @ SV392 ) )
= $true )
| ( ( SV128 @ ( SV299 @ SV392 ) )
= $true )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2886]) ).
thf(3047,plain,
! [SV128: option2026120038on_j_k > $o,SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
!= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2887]) ).
thf(3048,plain,
! [SV236: option2026120038on_j_k,SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2887]) ).
thf(3049,plain,
! [SV128: option2026120038on_j_k > $o,SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2888]) ).
thf(3050,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2889]) ).
thf(3051,plain,
! [SV237: list_n282880152tr_b_c > $o,SV129: list_n282880152tr_b_c] :
( ( ( ( sK152_SY1693 @ SV129 @ SV237 )
= nil_no279930520tr_b_c )
= $false )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2890]) ).
thf(3052,plain,
! [SV129: list_n282880152tr_b_c,SV237: list_n282880152tr_b_c > $o] :
( ( ( SV237 @ ( sK152_SY1693 @ SV129 @ SV237 ) )
= $true )
| ( ( SV237 @ SV129 )
= $true )
| ( ( SV237 @ ( cons_n413985352tr_b_c @ ( sK65_SY1254 @ SV129 @ SV237 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV129 = nil_no279930520tr_b_c )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2891]) ).
thf(3053,plain,
! [SV398: option_element_ptr_a,SV239: option_element_ptr_a > $o] :
( ( ( SV239 @ SV398 )
= $true )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2894]) ).
thf(3054,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( SV239 @ none_element_ptr_a )
| ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $false )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2895]) ).
thf(3055,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( ( SV133
!= ( some_element_ptr_a @ ( sK214_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
| ( SV300
!= ( some_element_ptr_a @ ( sK236_SY1759 @ SV300 @ SV240 @ SV133 ) ) )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2896]) ).
thf(3056,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( SV133
!= ( some_element_ptr_a @ ( sK183_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2897]) ).
thf(3057,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( ( SV300
!= ( some_element_ptr_a @ ( sK215_SY1739 @ SV300 @ SV240 @ SV133 ) ) )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2897]) ).
thf(3058,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( SV133
!= ( some_element_ptr_a @ ( sK184_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2898]) ).
thf(3059,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( ( SV300
!= ( some_element_ptr_a @ ( sK216_SY1740 @ SV300 @ SV240 @ SV133 ) ) )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2898]) ).
thf(3060,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( SV133
= ( some_element_ptr_a @ ( sK153_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2899]) ).
thf(3061,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( SV300
!= ( some_element_ptr_a @ ( sK185_SY1713 @ SV300 @ SV240 @ SV133 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2900]) ).
thf(3062,plain,
! [SV300: option_element_ptr_a,SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o] :
( ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2900]) ).
thf(3063,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 = none_element_ptr_a )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2901]) ).
thf(3064,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV394: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
!= ( some_element_ptr_a @ SV394 ) )
= $true )
| ( ( SV136 @ ( SV301 @ SV394 ) )
= $true )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2902]) ).
thf(3065,plain,
! [SV136: option_element_ptr_a > $o,SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
!= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2903]) ).
thf(3066,plain,
! [SV242: option_element_ptr_a,SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2903]) ).
thf(3067,plain,
! [SV136: option_element_ptr_a > $o,SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2904]) ).
thf(3068,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(3069,plain,
! [SV137: list_char] :
( ( ( SV137
= ( cons_char @ ( sK123_SY950 @ SV137 ) @ ( sK218_SY1694 @ SV137 ) ) )
= $true )
| ( ( SV137 = nil_char )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2906]) ).
thf(3070,plain,
! [SV376: list_char,SV364: char,SV137: list_char] :
( ( ( SV137 = nil_char )
= $false )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2907]) ).
thf(3071,plain,
! [SV376: list_char,SV364: char,SV137: list_char] :
( ( ( ! [SY950: char] :
~ ~ ! [SY951: list_char] :
( SV137
!= ( cons_char @ SY950 @ SY951 ) ) )
= $false )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2908]) ).
thf(3072,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( SV138 = nil_char )
= $true )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2909]) ).
thf(3073,plain,
! [SV138: list_char,SV329: list_char,SV302: char,SV243: list_char] :
( ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2910]) ).
thf(3074,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
= $false )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2911]) ).
thf(3075,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) )
= $false )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2911]) ).
thf(3076,plain,
! [SV329: list_char,SV243: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
!= SV329 )
= $true )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2912]) ).
thf(3077,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ! [SY1769: list_char] :
( ~ ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK237_SY1760 @ SV244 @ SV303 @ SV139 ) @ SY1769 ) )
| ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK219_SY1741 @ SV244 @ SV303 @ SV139 ) @ ( cons_char @ ( sK237_SY1760 @ SV244 @ SV303 @ SV139 ) @ SY1769 ) ) ) ) )
= $false )
| ( ( SV139 @ SV244 @ SV303 )
= $true )
| ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2913]) ).
thf(3078,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ! [SY984: node_p1234578834tr_b_c,SY985: list_n282880152tr_b_c,SY986: char,SY987: list_char] :
( ~ ( SV146 @ SY985 @ SY987 )
| ( SV146 @ ( cons_n413985352tr_b_c @ SY984 @ SY985 ) @ ( cons_char @ SY986 @ SY987 ) ) ) )
= $false )
| ( ( SV146 @ SV249 @ SV304 )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2915]) ).
thf(3079,plain,
! [SV305: list_char > list_char > $o,SV250: list_char,SV147: list_char] :
( ( ( ( size_size_list_char @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) )
= ( size_size_list_char @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) ) )
= $true )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2916]) ).
thf(3080,plain,
! [SV250: list_char,SV147: list_char,SV305: list_char > list_char > $o] :
( ( ( ~ ( SV305 @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) ) )
= $false )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2917]) ).
thf(3081,plain,
! [SV147: list_char,SV250: list_char,SV305: list_char > list_char > $o] :
( ( ( SV305 @ ( cons_char @ ( sK100_SY1484 @ SV250 @ SV147 @ SV305 ) @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) ) @ ( cons_char @ ( sK156_SY1696 @ SV305 @ SV250 @ SV147 ) @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) ) )
= $false )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2917]) ).
thf(3082,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2918]) ).
thf(3083,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV395: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV395 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV395 ) ) ) )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2919]) ).
thf(3084,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251
!= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
| ~ ~ ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2920]) ).
thf(3085,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
| ~ ~ ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2921]) ).
thf(3086,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2922]) ).
thf(3087,plain,
! [SV150: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c] :
( ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2923]) ).
thf(3088,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2924]) ).
thf(3089,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2924]) ).
thf(3090,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
!= SV330 )
= $true )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2925]) ).
thf(3091,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( SV156 != nil_no279930520tr_b_c )
= $false )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2930]) ).
thf(3092,plain,
! [SV156: list_n282880152tr_b_c,SV256: list_n282880152tr_b_c] :
( ( ( SV256 != nil_no279930520tr_b_c )
= $false )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2930]) ).
thf(3093,plain,
! [SV182: list_char,SV269: list_char,SV61: list_char > list_char > $o] :
( ( ( ! [SY1770: list_char,SY1771: char,SY1772: list_char] :
( ~ ( SV61 @ SY1770 @ SY1772 )
| ( SV61 @ ( cons_char @ ( sK239_SY667 @ SV269 @ SV182 @ SV61 ) @ SY1770 ) @ ( cons_char @ SY1771 @ SY1772 ) ) ) )
= $false )
| ( ( SV61 @ SV182 @ SV269 )
= $true )
| ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2931]) ).
thf(3094,plain,
! [SV183: list_char,SV270: list_n282880152tr_b_c,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1773: list_char,SY1774: node_p1234578834tr_b_c,SY1775: list_n282880152tr_b_c] :
( ~ ( SV62 @ SY1773 @ SY1775 )
| ( SV62 @ ( cons_char @ ( sK240_SY677 @ SV270 @ SV183 @ SV62 ) @ SY1773 ) @ ( cons_n413985352tr_b_c @ SY1774 @ SY1775 ) ) ) )
= $false )
| ( ( SV62 @ SV183 @ SV270 )
= $true )
| ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2932]) ).
thf(3095,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( ( SV65 != SV271 )
| ( SV186 != SV320 ) )
= $false )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2936]) ).
thf(3096,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK221_SY1744 @ SV189 @ SV273 @ SV68 ) @ ( sK241_SY1762 @ SV189 @ SV273 @ SV68 ) ) )
| ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK191_SY1716 @ SV189 @ SV273 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK221_SY1744 @ SV189 @ SV273 @ SV68 ) @ ( sK241_SY1762 @ SV189 @ SV273 @ SV68 ) ) ) ) )
= $false )
| ( ( SV68 @ SV189 @ SV273 )
= $true )
| ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2938]) ).
thf(3097,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( SV71
!= ( some_S1960742641on_j_k @ ( sK192_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2941]) ).
thf(3098,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( ( SV274
!= ( some_element_ptr_a @ ( sK222_SY1746 @ SV274 @ SV191 @ SV71 ) ) )
| ( SV191 @ SV71 @ SV274 ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2941]) ).
thf(3099,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( SV71
= ( some_S1960742641on_j_k @ ( sK162_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2942]) ).
thf(3100,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( SV274
!= ( some_element_ptr_a @ ( sK193_SY1719 @ SV274 @ SV191 @ SV71 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2943]) ).
thf(3101,plain,
! [SV274: option_element_ptr_a,SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o] :
( ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2943]) ).
thf(3102,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( SV71
= ( some_S1960742641on_j_k @ ( sK163_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2944]) ).
thf(3103,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( SV274
!= ( some_element_ptr_a @ ( sK194_SY1720 @ SV274 @ SV191 @ SV71 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2945]) ).
thf(3104,plain,
! [SV274: option_element_ptr_a,SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o] :
( ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2945]) ).
thf(3105,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( SV274
= ( some_element_ptr_a @ ( sK164_SY1702 @ SV274 @ SV191 @ SV71 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2947]) ).
thf(3106,plain,
! [SV192: list_n282880152tr_b_c,SV72: list_n282880152tr_b_c,SV275: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV275 @ ( sK107_SY1655 @ SV72 @ SV192 @ SV275 ) @ ( sK165_SY1703 @ SV275 @ SV192 @ SV72 ) )
= $true )
| ( ( SV275 @ SV72 @ SV192 )
= $true )
| ( ( SV275 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV72 )
= ( size_s2106487044tr_b_c @ SV192 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2950]) ).
thf(3107,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2952]) ).
thf(3108,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV386: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ( SV193
!= ( some_element_ptr_a @ SV386 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV386 ) ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2953]) ).
thf(3109,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( ( SV193
!= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
| ~ ~ ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2954]) ).
thf(3110,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193
!= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
| ~ ~ ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2955]) ).
thf(3111,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ none_element_ptr_a ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2956]) ).
thf(3112,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV387: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ( SV195
!= ( some_S1960742641on_j_k @ SV387 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV387 ) ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2957]) ).
thf(3113,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( ( SV195
!= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
| ~ ~ ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2958]) ).
thf(3114,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195
!= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
| ~ ~ ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2959]) ).
thf(3115,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( SV76
!= ( some_element_ptr_a @ ( sK197_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2960]) ).
thf(3116,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( ( SV278
!= ( some_S1960742641on_j_k @ ( sK225_SY1747 @ SV278 @ SV196 @ SV76 ) ) )
| ( SV196 @ SV76 @ SV278 ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2960]) ).
thf(3117,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( SV76
= ( some_element_ptr_a @ ( sK166_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2961]) ).
thf(3118,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( SV278
!= ( some_S1960742641on_j_k @ ( sK198_SY1721 @ SV278 @ SV196 @ SV76 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2962]) ).
thf(3119,plain,
! [SV278: option2026120038on_j_k,SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o] :
( ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2962]) ).
thf(3120,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( SV76
= ( some_element_ptr_a @ ( sK167_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2963]) ).
thf(3121,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( SV278
!= ( some_S1960742641on_j_k @ ( sK199_SY1722 @ SV278 @ SV196 @ SV76 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2964]) ).
thf(3122,plain,
! [SV278: option2026120038on_j_k,SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o] :
( ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2964]) ).
thf(3123,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( SV278
= ( some_S1960742641on_j_k @ ( sK168_SY1704 @ SV278 @ SV196 @ SV76 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2966]) ).
thf(3124,plain,
! [SV78: rObjec1413572695_j_k_l,SV396: rObjec1617416918on_j_k] :
( ( ( ( cast_D1252964113_h_i_l @ SV396 )
= SV78 )
= $false )
| ( ( ( cast_D1252964113_h_i_l @ ( sK59_SY743 @ SV78 ) )
= SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2968]) ).
thf(3125,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( ~ ( SV81 @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) @ ( cons_char @ ( sK200_SY1723 @ SV281 @ SV199 @ SV81 ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) ) ) )
= $false )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2969]) ).
thf(3126,plain,
! [SV199: list_char,SV281: list_char,SV81: list_char > list_char > $o] :
( ( ( ~ ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) )
| ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ ( cons_char @ ( sK200_SY1723 @ SV281 @ SV199 @ SV81 ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) ) ) )
= $false )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2969]) ).
thf(3127,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ( sK90_SY766 @ SV200 @ SV82 )
= ( sK110_SY1660 @ SV82 @ SV200 ) )
= $false )
| ( ( SV82 @ ( cons_char @ ( sK90_SY766 @ SV200 @ SV82 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) )
= $true )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2970]) ).
thf(3128,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ~ ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) ) ) )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) )
= $true )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2971]) ).
thf(3129,plain,
! [SV201: list_n282880152tr_b_c,SV83: list_n282880152tr_b_c] :
( ( ( SV83 = nil_no279930520tr_b_c )
= $true )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2972]) ).
thf(3130,plain,
! [SV83: list_n282880152tr_b_c,SV201: list_n282880152tr_b_c] :
( ( ( SV201 = nil_no279930520tr_b_c )
= $true )
| ( ( SV83 = nil_no279930520tr_b_c )
= $false )
| ( ( SV201 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2973]) ).
thf(3131,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ none_element_ptr_a ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2974]) ).
thf(3132,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV388: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ( SV202
!= ( some_element_ptr_a @ SV388 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV388 ) ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2975]) ).
thf(3133,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ( SV202
!= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
| ~ ~ ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(3134,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202
!= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
| ~ ~ ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2977]) ).
thf(3135,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV389: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
= ( some_element_ptr_a @ SV389 ) )
= $false )
| ( ( SV87 @ ( SV283 @ SV389 ) )
= $true )
| ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2979]) ).
thf(3136,plain,
! [SV87: option2026120038on_j_k > $o,SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a] :
( ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2980]) ).
thf(3137,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2981]) ).
thf(3138,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2982]) ).
thf(3139,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2983]) ).
thf(3140,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2983]) ).
thf(3141,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( ( SV88 != SV284 )
| ( SV204 != SV321 ) )
= $false )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2985]) ).
thf(3142,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV95: char] :
( ( ( ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2988]) ).
thf(3143,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV95: char] :
( ( ( ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2989]) ).
thf(3144,plain,
! [SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2990]) ).
thf(3145,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2991]) ).
thf(3146,plain,
! [SV286: list_char,SV95: char,SV322: list_char,SV379: list_char,SV209: list_char] :
( ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( ~ ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3147,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2993]) ).
thf(3148,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2994]) ).
thf(3149,plain,
! [SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2995]) ).
thf(3150,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2996]) ).
thf(3151,plain,
! [SV287: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2997]) ).
thf(3152,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( SV98
!= ( some_S1960742641on_j_k @ ( sK203_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2998]) ).
thf(3153,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( ( SV288
!= ( some_S1960742641on_j_k @ ( sK228_SY1749 @ SV288 @ SV212 @ SV98 ) ) )
| ( SV212 @ SV98 @ SV288 ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2998]) ).
thf(3154,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( SV98
= ( some_S1960742641on_j_k @ ( sK171_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2999]) ).
thf(3155,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( SV288
!= ( some_S1960742641on_j_k @ ( sK204_SY1725 @ SV288 @ SV212 @ SV98 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3000]) ).
thf(3156,plain,
! [SV288: option2026120038on_j_k,SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o] :
( ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3000]) ).
thf(3157,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( SV98
= ( some_S1960742641on_j_k @ ( sK172_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3001]) ).
thf(3158,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( SV288
!= ( some_S1960742641on_j_k @ ( sK205_SY1726 @ SV288 @ SV212 @ SV98 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3002]) ).
thf(3159,plain,
! [SV288: option2026120038on_j_k,SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o] :
( ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3002]) ).
thf(3160,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( SV288
= ( some_S1960742641on_j_k @ ( sK173_SY1708 @ SV288 @ SV212 @ SV98 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3004]) ).
thf(3161,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV390: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
= ( some_S1960742641on_j_k @ SV390 ) )
= $false )
| ( ( SV99 @ ( SV289 @ SV390 ) )
= $true )
| ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3007]) ).
thf(3162,plain,
! [SV99: option_element_ptr_a > $o,SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k] :
( ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3008]) ).
thf(3163,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3009]) ).
thf(3164,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3010]) ).
thf(3165,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3011]) ).
thf(3166,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3011]) ).
thf(3167,plain,
! [SV361: node_p1234578834tr_b_c,SV374: list_n282880152tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ~ ~ ! [SY1776: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ ( sK242_SY820 @ SV374 @ SV361 @ SV101 ) @ SY1776 ) ) )
= $false )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3014]) ).
thf(3168,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ( SV216 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3017]) ).
thf(3169,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ~ ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $false )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3017]) ).
thf(3170,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ! [SY1777: char,SY1778: list_char] :
( ( ( size_size_list_char @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) )
!= ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
| ( ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) )
!= ( size_size_list_char @ SY1778 ) )
| ~ ( SV324 @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) @ SY1778 )
| ( SV324 @ ( cons_char @ ( sK176_SY1524 @ SV291 @ SV217 @ SV106 @ SV324 ) @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) ) @ ( cons_char @ ( sK229_SY1750 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) @ ( cons_char @ SY1777 @ SY1778 ) ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3018]) ).
thf(3171,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV110 @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) @ ( cons_n413985352tr_b_c @ ( sK209_SY1732 @ SV292 @ SV219 @ SV110 ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) ) ) )
= $false )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3019]) ).
thf(3172,plain,
! [SV219: list_n282880152tr_b_c,SV292: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) )
| ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ ( cons_n413985352tr_b_c @ ( sK209_SY1732 @ SV292 @ SV219 @ SV110 ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) ) ) )
= $false )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3019]) ).
thf(3173,plain,
! [SV220: list_n282880152tr_b_c,SV293: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1779: list_n282880152tr_b_c,SY1780: node_p1234578834tr_b_c,SY1781: list_n282880152tr_b_c] :
( ~ ( SV111 @ SY1779 @ SY1781 )
| ( SV111 @ ( cons_n413985352tr_b_c @ ( sK244_SY864 @ SV293 @ SV220 @ SV111 ) @ SY1779 ) @ ( cons_n413985352tr_b_c @ SY1780 @ SY1781 ) ) ) )
= $false )
| ( ( SV111 @ SV220 @ SV293 )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3020]) ).
thf(3174,plain,
! [SV366: option2026120038on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ ( some_S1960742641on_j_k @ ( sK231_SY1209 @ SV366 @ SV221 ) ) )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( SV221 @ SV366 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3022]) ).
thf(3175,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ ( sK232_SY1208 @ SV370 @ SV221 ) )
= $true )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3023]) ).
thf(3176,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( ~ ( SV221 @ ( some_S1960742641on_j_k @ ( sK245_SY1209 @ SV370 @ SV221 ) ) ) )
= $false )
| ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3024]) ).
thf(3177,plain,
! [SV225: list_n282880152tr_b_c,SV116: list_n282880152tr_b_c] :
( ( ( SV116 = nil_no279930520tr_b_c )
= $true )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3025]) ).
thf(3178,plain,
! [SV116: list_n282880152tr_b_c,SV225: list_n282880152tr_b_c] :
( ( ( SV225 = nil_no279930520tr_b_c )
= $true )
| ( ( SV116 = nil_no279930520tr_b_c )
= $false )
| ( ( SV225 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3026]) ).
thf(3179,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ( sK96_SY883 @ SV226 @ SV117 )
= ( sK119_SY1669 @ SV117 @ SV226 ) )
= $false )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK96_SY883 @ SV226 @ SV117 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) )
= $true )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3027]) ).
thf(3180,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ~ ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) ) ) )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) )
= $true )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3028]) ).
thf(3181,plain,
! [SV367: option_element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ ( some_element_ptr_a @ ( sK233_SY1222 @ SV367 @ SV227 ) ) )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( SV227 @ SV367 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3030]) ).
thf(3182,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ ( sK234_SY1221 @ SV371 @ SV227 ) )
= $true )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3031]) ).
thf(3183,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( ~ ( SV227 @ ( some_element_ptr_a @ ( sK246_SY1222 @ SV371 @ SV227 ) ) ) )
= $false )
| ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3032]) ).
thf(3184,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ! [SY1782: node_p1234578834tr_b_c,SY1783: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) )
!= ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
| ( ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) )
!= ( size_s2106487044tr_b_c @ SY1783 ) )
| ~ ( SV325 @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) @ SY1783 )
| ( SV325 @ ( cons_n413985352tr_b_c @ ( sK181_SY1530 @ SV295 @ SV228 @ SV120 @ SV325 ) @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) ) @ ( cons_n413985352tr_b_c @ ( sK235_SY1755 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) @ ( cons_n413985352tr_b_c @ SY1782 @ SY1783 ) ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3033]) ).
thf(3185,plain,
! [SV229: list_char,SV121: list_char] :
( ( ( SV121 = nil_char )
= $true )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3034]) ).
thf(3186,plain,
! [SV121: list_char,SV229: list_char] :
( ( ( SV229 = nil_char )
= $true )
| ( ( SV121 = nil_char )
= $false )
| ( ( SV229 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3035]) ).
thf(3187,plain,
! [SV230: list_char,SV122: list_char] :
( ( ( SV122 = nil_char )
= $true )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3036]) ).
thf(3188,plain,
! [SV122: list_char,SV230: list_char] :
( ( ( SV230 = nil_char )
= $true )
| ( ( SV122 = nil_char )
= $false )
| ( ( SV230 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3037]) ).
thf(3189,plain,
! [SV231: list_char,SV123: list_char] :
( ( ( SV123 = nil_char )
= $true )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3038]) ).
thf(3190,plain,
! [SV123: list_char,SV231: list_char] :
( ( ( SV231 = nil_char )
= $true )
| ( ( SV123 = nil_char )
= $false )
| ( ( SV231 = nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3039]) ).
thf(3191,plain,
! [SV124: list_char,SV232: list_char,SV296: list_char,SV326: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ! [SY1784: list_char,SY1785: char,SY1786: list_char,SY1787: char,SY1788: list_char,SY1789: char,SY1790: list_char] :
( ( ( size_size_list_char @ SY1784 )
!= ( size_size_list_char @ SY1786 ) )
| ( ( size_size_list_char @ SY1786 )
!= ( size_size_list_char @ SY1788 ) )
| ( ( size_size_list_char @ SY1788 )
!= ( size_size_list_char @ SY1790 ) )
| ~ ( SV342 @ SY1784 @ SY1786 @ SY1788 @ SY1790 )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ SY1784 ) @ ( cons_char @ SY1785 @ SY1786 ) @ ( cons_char @ SY1787 @ SY1788 ) @ ( cons_char @ SY1789 @ SY1790 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3040]) ).
thf(3192,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( ( SV125 != SV297 )
| ( SV233 != SV327 ) )
= $false )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3042]) ).
thf(3193,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3043]) ).
thf(3194,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3043]) ).
thf(3195,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) ) )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3044]) ).
thf(3196,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV392: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
= ( some_S1960742641on_j_k @ SV392 ) )
= $false )
| ( ( SV128 @ ( SV299 @ SV392 ) )
= $true )
| ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3046]) ).
thf(3197,plain,
! [SV128: option2026120038on_j_k > $o,SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3047]) ).
thf(3198,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3048]) ).
thf(3199,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3049]) ).
thf(3200,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3050]) ).
thf(3201,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3050]) ).
thf(3202,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ( SV239 @ none_element_ptr_a ) )
= $false )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3054]) ).
thf(3203,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ~ ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $false )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3054]) ).
thf(3204,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( SV133
!= ( some_element_ptr_a @ ( sK214_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3055]) ).
thf(3205,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( ( SV300
!= ( some_element_ptr_a @ ( sK236_SY1759 @ SV300 @ SV240 @ SV133 ) ) )
| ( SV240 @ SV133 @ SV300 ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3055]) ).
thf(3206,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( SV133
= ( some_element_ptr_a @ ( sK183_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3056]) ).
thf(3207,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( SV300
!= ( some_element_ptr_a @ ( sK215_SY1739 @ SV300 @ SV240 @ SV133 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3057]) ).
thf(3208,plain,
! [SV300: option_element_ptr_a,SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o] :
( ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3057]) ).
thf(3209,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( SV133
= ( some_element_ptr_a @ ( sK184_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3058]) ).
thf(3210,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( SV300
!= ( some_element_ptr_a @ ( sK216_SY1740 @ SV300 @ SV240 @ SV133 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3059]) ).
thf(3211,plain,
! [SV300: option_element_ptr_a,SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o] :
( ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3059]) ).
thf(3212,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( SV300
= ( some_element_ptr_a @ ( sK185_SY1713 @ SV300 @ SV240 @ SV133 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3061]) ).
thf(3213,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV394: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
= ( some_element_ptr_a @ SV394 ) )
= $false )
| ( ( SV136 @ ( SV301 @ SV394 ) )
= $true )
| ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3214,plain,
! [SV136: option_element_ptr_a > $o,SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3065]) ).
thf(3215,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3066]) ).
thf(3216,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3067]) ).
thf(3217,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3068]) ).
thf(3218,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3068]) ).
thf(3219,plain,
! [SV364: char,SV376: list_char,SV137: list_char] :
( ( ( ~ ~ ! [SY1791: list_char] :
( SV137
!= ( cons_char @ ( sK249_SY950 @ SV376 @ SV364 @ SV137 ) @ SY1791 ) ) )
= $false )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3071]) ).
thf(3220,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3072]) ).
thf(3221,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3222,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3074]) ).
thf(3223,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3075]) ).
thf(3224,plain,
! [SV302: char,SV138: list_char,SV329: list_char,SV243: list_char,SV384: list_char] :
( ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ~ ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3076]) ).
thf(3225,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ~ ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK237_SY1760 @ SV244 @ SV303 @ SV139 ) @ ( sK250_SY1769 @ SV244 @ SV303 @ SV139 ) ) )
| ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK219_SY1741 @ SV244 @ SV303 @ SV139 ) @ ( cons_char @ ( sK237_SY1760 @ SV244 @ SV303 @ SV139 ) @ ( sK250_SY1769 @ SV244 @ SV303 @ SV139 ) ) ) ) )
= $false )
| ( ( SV139 @ SV244 @ SV303 )
= $true )
| ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3077]) ).
thf(3226,plain,
! [SV249: list_n282880152tr_b_c,SV304: list_char,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ! [SY1792: list_n282880152tr_b_c,SY1793: char,SY1794: list_char] :
( ~ ( SV146 @ SY1792 @ SY1794 )
| ( SV146 @ ( cons_n413985352tr_b_c @ ( sK251_SY984 @ SV304 @ SV249 @ SV146 ) @ SY1792 ) @ ( cons_char @ SY1793 @ SY1794 ) ) ) )
= $false )
| ( ( SV146 @ SV249 @ SV304 )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3078]) ).
thf(3227,plain,
! [SV250: list_char,SV147: list_char,SV305: list_char > list_char > $o] :
( ( ( SV305 @ ( sK126_SY1675 @ SV147 @ SV250 @ SV305 ) @ ( sK190_SY1715 @ SV305 @ SV250 @ SV147 ) )
= $true )
| ( ( SV305 @ SV147 @ SV250 )
= $true )
| ( ( SV305 @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV147 )
= ( size_size_list_char @ SV250 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3080]) ).
thf(3228,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3082]) ).
thf(3229,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV395: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ( SV251
!= ( some_S1960742641on_j_k @ SV395 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV395 ) ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3083]) ).
thf(3230,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( ( SV251
!= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
| ~ ~ ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3084]) ).
thf(3231,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251
!= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
| ~ ~ ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3085]) ).
thf(3232,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3086]) ).
thf(3233,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3087]) ).
thf(3234,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3088]) ).
thf(3235,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3089]) ).
thf(3236,plain,
! [SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ~ ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3090]) ).
thf(3237,plain,
! [SV256: list_n282880152tr_b_c,SV156: list_n282880152tr_b_c] :
( ( ( SV156 = nil_no279930520tr_b_c )
= $true )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3091]) ).
thf(3238,plain,
! [SV156: list_n282880152tr_b_c,SV256: list_n282880152tr_b_c] :
( ( ( SV256 = nil_no279930520tr_b_c )
= $true )
| ( ( SV156 = nil_no279930520tr_b_c )
= $false )
| ( ( SV256 = nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3092]) ).
thf(3239,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ! [SY1795: char,SY1796: list_char] :
( ~ ( SV61 @ ( sK252_SY1770 @ SV182 @ SV269 @ SV61 ) @ SY1796 )
| ( SV61 @ ( cons_char @ ( sK239_SY667 @ SV269 @ SV182 @ SV61 ) @ ( sK252_SY1770 @ SV182 @ SV269 @ SV61 ) ) @ ( cons_char @ SY1795 @ SY1796 ) ) ) )
= $false )
| ( ( SV61 @ SV182 @ SV269 )
= $true )
| ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3093]) ).
thf(3240,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1797: node_p1234578834tr_b_c,SY1798: list_n282880152tr_b_c] :
( ~ ( SV62 @ ( sK253_SY1773 @ SV183 @ SV270 @ SV62 ) @ SY1798 )
| ( SV62 @ ( cons_char @ ( sK240_SY677 @ SV270 @ SV183 @ SV62 ) @ ( sK253_SY1773 @ SV183 @ SV270 @ SV62 ) ) @ ( cons_n413985352tr_b_c @ SY1797 @ SY1798 ) ) ) )
= $false )
| ( ( SV62 @ SV183 @ SV270 )
= $true )
| ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3094]) ).
thf(3241,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( SV65 != SV271 )
= $false )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3095]) ).
thf(3242,plain,
! [SV271: list_char,SV65: list_char,SV320: char,SV186: char] :
( ( ( SV186 != SV320 )
= $false )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3095]) ).
thf(3243,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK221_SY1744 @ SV189 @ SV273 @ SV68 ) @ ( sK241_SY1762 @ SV189 @ SV273 @ SV68 ) ) ) )
= $false )
| ( ( SV68 @ SV189 @ SV273 )
= $true )
| ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3096]) ).
thf(3244,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK191_SY1716 @ SV189 @ SV273 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK221_SY1744 @ SV189 @ SV273 @ SV68 ) @ ( sK241_SY1762 @ SV189 @ SV273 @ SV68 ) ) ) )
= $false )
| ( ( SV68 @ SV189 @ SV273 )
= $true )
| ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3096]) ).
thf(3245,plain,
! [SV274: option_element_ptr_a,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV71: option2026120038on_j_k] :
( ( ( SV71
= ( some_S1960742641on_j_k @ ( sK192_SY1373 @ SV191 @ SV274 @ SV71 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3097]) ).
thf(3246,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( SV274
!= ( some_element_ptr_a @ ( sK222_SY1746 @ SV274 @ SV191 @ SV71 ) ) )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3098]) ).
thf(3247,plain,
! [SV274: option_element_ptr_a,SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o] :
( ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3098]) ).
thf(3248,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( SV274
= ( some_element_ptr_a @ ( sK193_SY1719 @ SV274 @ SV191 @ SV71 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3100]) ).
thf(3249,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( SV274
= ( some_element_ptr_a @ ( sK194_SY1720 @ SV274 @ SV191 @ SV71 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3103]) ).
thf(3250,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ none_S1393028981on_j_k )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3107]) ).
thf(3251,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV386: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
!= ( some_element_ptr_a @ SV386 ) )
= $true )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV386 ) ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3108]) ).
thf(3252,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( SV193
!= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3109]) ).
thf(3253,plain,
! [SV193: option_element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ~ ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3109]) ).
thf(3254,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( ( SV193
!= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
| ~ ~ ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3255,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ none_element_ptr_a )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3111]) ).
thf(3256,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV387: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
!= ( some_S1960742641on_j_k @ SV387 ) )
= $true )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV387 ) ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3112]) ).
thf(3257,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( SV195
!= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3113]) ).
thf(3258,plain,
! [SV195: option2026120038on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( ~ ~ ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3113]) ).
thf(3259,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( ( SV195
!= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
| ~ ~ ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3114]) ).
thf(3260,plain,
! [SV278: option2026120038on_j_k,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV76: option_element_ptr_a] :
( ( ( SV76
= ( some_element_ptr_a @ ( sK197_SY1381 @ SV196 @ SV278 @ SV76 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3115]) ).
thf(3261,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( SV278
!= ( some_S1960742641on_j_k @ ( sK225_SY1747 @ SV278 @ SV196 @ SV76 ) ) )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3116]) ).
thf(3262,plain,
! [SV278: option2026120038on_j_k,SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o] :
( ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3116]) ).
thf(3263,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( SV278
= ( some_S1960742641on_j_k @ ( sK198_SY1721 @ SV278 @ SV196 @ SV76 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3118]) ).
thf(3264,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( SV278
= ( some_S1960742641on_j_k @ ( sK199_SY1722 @ SV278 @ SV196 @ SV76 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3121]) ).
thf(3265,plain,
! [SV281: list_char,SV199: list_char,SV81: list_char > list_char > $o] :
( ( ( SV81 @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) @ ( cons_char @ ( sK200_SY1723 @ SV281 @ SV199 @ SV81 ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) ) )
= $true )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3125]) ).
thf(3266,plain,
! [SV199: list_char,SV281: list_char,SV81: list_char > list_char > $o] :
( ( ( ~ ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) ) )
= $false )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3126]) ).
thf(3267,plain,
! [SV199: list_char,SV281: list_char,SV81: list_char > list_char > $o] :
( ( ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ ( cons_char @ ( sK200_SY1723 @ SV281 @ SV199 @ SV81 ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) ) )
= $false )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3126]) ).
thf(3268,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ( sK90_SY766 @ SV200 @ SV82 )
!= ( sK110_SY1660 @ SV82 @ SV200 ) )
= $false )
| ( ( SV82 @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) )
= $true )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3128]) ).
thf(3269,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ none_element_ptr_a )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3131]) ).
thf(3270,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV388: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
!= ( some_element_ptr_a @ SV388 ) )
= $true )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV388 ) ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3132]) ).
thf(3271,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
!= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3133]) ).
thf(3272,plain,
! [SV202: option_element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ~ ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3133]) ).
thf(3273,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ( SV202
!= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
| ~ ~ ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3134]) ).
thf(3274,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
| ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3136]) ).
thf(3275,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3137]) ).
thf(3276,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3137]) ).
thf(3277,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3138]) ).
thf(3278,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3138]) ).
thf(3279,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3139]) ).
thf(3280,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3140]) ).
thf(3281,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( SV88 != SV284 )
= $false )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3141]) ).
thf(3282,plain,
! [SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c,SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c] :
( ( ( SV204 != SV321 )
= $false )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3141]) ).
thf(3283,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ~ ~ ( ( ( cons_char @ SV95 @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3142]) ).
thf(3284,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ~ ~ ( ( ( cons_char @ SV95 @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3143]) ).
thf(3285,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) ) )
= $true )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3145]) ).
thf(3286,plain,
! [SV379: list_char,SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
| ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3146]) ).
thf(3287,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3147]) ).
thf(3288,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3148]) ).
thf(3289,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) ) )
= $true )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3150]) ).
thf(3290,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
| ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3151]) ).
thf(3291,plain,
! [SV288: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV98: option2026120038on_j_k] :
( ( ( SV98
= ( some_S1960742641on_j_k @ ( sK203_SY1414 @ SV212 @ SV288 @ SV98 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3152]) ).
thf(3292,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( SV288
!= ( some_S1960742641on_j_k @ ( sK228_SY1749 @ SV288 @ SV212 @ SV98 ) ) )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3293,plain,
! [SV288: option2026120038on_j_k,SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o] :
( ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3294,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( SV288
= ( some_S1960742641on_j_k @ ( sK204_SY1725 @ SV288 @ SV212 @ SV98 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3155]) ).
thf(3295,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( SV288
= ( some_S1960742641on_j_k @ ( sK205_SY1726 @ SV288 @ SV212 @ SV98 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3158]) ).
thf(3296,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
| ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3162]) ).
thf(3297,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3163]) ).
thf(3298,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3163]) ).
thf(3299,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3164]) ).
thf(3300,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3164]) ).
thf(3301,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3165]) ).
thf(3302,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3166]) ).
thf(3303,plain,
! [SV361: node_p1234578834tr_b_c,SV374: list_n282880152tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ~ ! [SY1776: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ ( sK242_SY820 @ SV374 @ SV361 @ SV101 ) @ SY1776 ) ) )
= $true )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3167]) ).
thf(3304,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( SV216 @ none_S1393028981on_j_k )
= $true )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3168]) ).
thf(3305,plain,
! [SV216: option2026120038on_j_k > $o] :
( ( ( ! [SY1181: sum_su1221287958on_j_k] : ( SV216 @ ( some_S1960742641on_j_k @ SY1181 ) ) )
= $true )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3169]) ).
thf(3306,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ! [SY1799: list_char] :
( ( ( size_size_list_char @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) )
!= ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
| ( ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) )
!= ( size_size_list_char @ SY1799 ) )
| ~ ( SV324 @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) @ SY1799 )
| ( SV324 @ ( cons_char @ ( sK176_SY1524 @ SV291 @ SV217 @ SV106 @ SV324 ) @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) ) @ ( cons_char @ ( sK229_SY1750 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) @ ( cons_char @ ( sK258_SY1777 @ SV324 @ SV291 @ SV217 @ SV106 ) @ SY1799 ) ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3170]) ).
thf(3307,plain,
! [SV292: list_n282880152tr_b_c,SV219: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV110 @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) @ ( cons_n413985352tr_b_c @ ( sK209_SY1732 @ SV292 @ SV219 @ SV110 ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) ) )
= $true )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3171]) ).
thf(3308,plain,
! [SV219: list_n282880152tr_b_c,SV292: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) ) )
= $false )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3172]) ).
thf(3309,plain,
! [SV219: list_n282880152tr_b_c,SV292: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ ( cons_n413985352tr_b_c @ ( sK209_SY1732 @ SV292 @ SV219 @ SV110 ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) ) )
= $false )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3172]) ).
thf(3310,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1800: node_p1234578834tr_b_c,SY1801: list_n282880152tr_b_c] :
( ~ ( SV111 @ ( sK259_SY1779 @ SV220 @ SV293 @ SV111 ) @ SY1801 )
| ( SV111 @ ( cons_n413985352tr_b_c @ ( sK244_SY864 @ SV293 @ SV220 @ SV111 ) @ ( sK259_SY1779 @ SV220 @ SV293 @ SV111 ) ) @ ( cons_n413985352tr_b_c @ SY1800 @ SY1801 ) ) ) )
= $false )
| ( ( SV111 @ SV220 @ SV293 )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3173]) ).
thf(3311,plain,
! [SV370: sum_su1221287958on_j_k,SV221: option2026120038on_j_k > $o] :
( ( ( SV221 @ ( some_S1960742641on_j_k @ ( sK245_SY1209 @ SV370 @ SV221 ) ) )
= $true )
| ( ( SV221 @ none_S1393028981on_j_k )
= $true )
| ( ( SV221 @ ( some_S1960742641on_j_k @ SV370 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3176]) ).
thf(3312,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ( sK96_SY883 @ SV226 @ SV117 )
!= ( sK119_SY1669 @ SV117 @ SV226 ) )
= $false )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) )
= $true )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3180]) ).
thf(3313,plain,
! [SV371: element_ptr_a,SV227: option_element_ptr_a > $o] :
( ( ( SV227 @ ( some_element_ptr_a @ ( sK246_SY1222 @ SV371 @ SV227 ) ) )
= $true )
| ( ( SV227 @ none_element_ptr_a )
= $true )
| ( ( SV227 @ ( some_element_ptr_a @ SV371 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3183]) ).
thf(3314,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ! [SY1802: list_n282880152tr_b_c] :
( ( ( size_s2106487044tr_b_c @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) )
!= ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
| ( ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) )
!= ( size_s2106487044tr_b_c @ SY1802 ) )
| ~ ( SV325 @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) @ SY1802 )
| ( SV325 @ ( cons_n413985352tr_b_c @ ( sK181_SY1530 @ SV295 @ SV228 @ SV120 @ SV325 ) @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) ) @ ( cons_n413985352tr_b_c @ ( sK235_SY1755 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) @ ( cons_n413985352tr_b_c @ ( sK260_SY1782 @ SV325 @ SV295 @ SV228 @ SV120 ) @ SY1802 ) ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3184]) ).
thf(3315,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ! [SY1803: char,SY1804: list_char,SY1805: char,SY1806: list_char,SY1807: char,SY1808: list_char] :
( ( ( size_size_list_char @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) )
!= ( size_size_list_char @ SY1804 ) )
| ( ( size_size_list_char @ SY1804 )
!= ( size_size_list_char @ SY1806 ) )
| ( ( size_size_list_char @ SY1806 )
!= ( size_size_list_char @ SY1808 ) )
| ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ SY1804 @ SY1806 @ SY1808 )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ SY1803 @ SY1804 ) @ ( cons_char @ SY1805 @ SY1806 ) @ ( cons_char @ SY1807 @ SY1808 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3191]) ).
thf(3316,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( SV125 != SV297 )
= $false )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3192]) ).
thf(3317,plain,
! [SV297: product_unit,SV125: product_unit,SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k] :
( ( ( SV233 != SV327 )
= $false )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3192]) ).
thf(3318,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3193]) ).
thf(3319,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3194]) ).
thf(3320,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) ) )
= $false )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3321,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
| ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3197]) ).
thf(3322,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3198]) ).
thf(3323,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3198]) ).
thf(3324,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3199]) ).
thf(3325,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3199]) ).
thf(3326,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3200]) ).
thf(3327,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3201]) ).
thf(3328,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( SV239 @ none_element_ptr_a )
= $true )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3202]) ).
thf(3329,plain,
! [SV239: option_element_ptr_a > $o] :
( ( ( ! [SY1258: element_ptr_a] : ( SV239 @ ( some_element_ptr_a @ SY1258 ) ) )
= $true )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3203]) ).
thf(3330,plain,
! [SV300: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV133: option_element_ptr_a] :
( ( ( SV133
= ( some_element_ptr_a @ ( sK214_SY1464 @ SV240 @ SV300 @ SV133 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3204]) ).
thf(3331,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( SV300
!= ( some_element_ptr_a @ ( sK236_SY1759 @ SV300 @ SV240 @ SV133 ) ) )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3205]) ).
thf(3332,plain,
! [SV300: option_element_ptr_a,SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o] :
( ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3205]) ).
thf(3333,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( SV300
= ( some_element_ptr_a @ ( sK215_SY1739 @ SV300 @ SV240 @ SV133 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3207]) ).
thf(3334,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( SV300
= ( some_element_ptr_a @ ( sK216_SY1740 @ SV300 @ SV240 @ SV133 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3210]) ).
thf(3335,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
| ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3336,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3215]) ).
thf(3337,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3215]) ).
thf(3338,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3216]) ).
thf(3339,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3216]) ).
thf(3340,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3217]) ).
thf(3341,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3218]) ).
thf(3342,plain,
! [SV364: char,SV376: list_char,SV137: list_char] :
( ( ( ~ ! [SY1791: list_char] :
( SV137
!= ( cons_char @ ( sK249_SY950 @ SV376 @ SV364 @ SV137 ) @ SY1791 ) ) )
= $true )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3219]) ).
thf(3343,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3220]) ).
thf(3344,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3221]) ).
thf(3345,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) ) )
= $true )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3223]) ).
thf(3346,plain,
! [SV384: list_char,SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
| ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) )
= $false )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3224]) ).
thf(3347,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( ~ ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK237_SY1760 @ SV244 @ SV303 @ SV139 ) @ ( sK250_SY1769 @ SV244 @ SV303 @ SV139 ) ) ) )
= $false )
| ( ( SV139 @ SV244 @ SV303 )
= $true )
| ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3225]) ).
thf(3348,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK219_SY1741 @ SV244 @ SV303 @ SV139 ) @ ( cons_char @ ( sK237_SY1760 @ SV244 @ SV303 @ SV139 ) @ ( sK250_SY1769 @ SV244 @ SV303 @ SV139 ) ) ) )
= $false )
| ( ( SV139 @ SV244 @ SV303 )
= $true )
| ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3225]) ).
thf(3349,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ! [SY1809: char,SY1810: list_char] :
( ~ ( SV146 @ ( sK264_SY1792 @ SV249 @ SV304 @ SV146 ) @ SY1810 )
| ( SV146 @ ( cons_n413985352tr_b_c @ ( sK251_SY984 @ SV304 @ SV249 @ SV146 ) @ ( sK264_SY1792 @ SV249 @ SV304 @ SV146 ) ) @ ( cons_char @ SY1809 @ SY1810 ) ) ) )
= $false )
| ( ( SV146 @ SV249 @ SV304 )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3226]) ).
thf(3350,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ none_S1393028981on_j_k )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3228]) ).
thf(3351,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV395: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
!= ( some_S1960742641on_j_k @ SV395 ) )
= $true )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV395 ) ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3229]) ).
thf(3352,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
!= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3230]) ).
thf(3353,plain,
! [SV251: option2026120038on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ~ ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3230]) ).
thf(3354,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( ( SV251
!= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
| ~ ~ ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3231]) ).
thf(3355,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3232]) ).
thf(3356,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3233]) ).
thf(3357,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) ) )
= $true )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3235]) ).
thf(3358,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
| ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) )
= $false )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3236]) ).
thf(3359,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ! [SY1811: list_char] :
( ~ ( SV61 @ ( sK252_SY1770 @ SV182 @ SV269 @ SV61 ) @ SY1811 )
| ( SV61 @ ( cons_char @ ( sK239_SY667 @ SV269 @ SV182 @ SV61 ) @ ( sK252_SY1770 @ SV182 @ SV269 @ SV61 ) ) @ ( cons_char @ ( sK267_SY1795 @ SV269 @ SV182 @ SV61 ) @ SY1811 ) ) ) )
= $false )
| ( ( SV61 @ SV182 @ SV269 )
= $true )
| ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3239]) ).
thf(3360,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1812: list_n282880152tr_b_c] :
( ~ ( SV62 @ ( sK253_SY1773 @ SV183 @ SV270 @ SV62 ) @ SY1812 )
| ( SV62 @ ( cons_char @ ( sK240_SY677 @ SV270 @ SV183 @ SV62 ) @ ( sK253_SY1773 @ SV183 @ SV270 @ SV62 ) ) @ ( cons_n413985352tr_b_c @ ( sK268_SY1797 @ SV270 @ SV183 @ SV62 ) @ SY1812 ) ) ) )
= $false )
| ( ( SV62 @ SV183 @ SV270 )
= $true )
| ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3240]) ).
thf(3361,plain,
! [SV320: char,SV186: char,SV271: list_char,SV65: list_char] :
( ( ( SV65 = SV271 )
= $true )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3241]) ).
thf(3362,plain,
! [SV271: list_char,SV65: list_char,SV320: char,SV186: char] :
( ( ( SV186 = SV320 )
= $true )
| ( ( SV65 = SV271 )
= $false )
| ( ( SV186 = SV320 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3242]) ).
thf(3363,plain,
! [SV189: node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o,SV273: list_n282880152tr_b_c,SV68: ( node_p1234578834tr_b_c > node_p1234578834tr_b_c > $o ) > list_n282880152tr_b_c > $o] :
( ( ( SV68 @ ( sK161_SY704 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK221_SY1744 @ SV189 @ SV273 @ SV68 ) @ ( sK241_SY1762 @ SV189 @ SV273 @ SV68 ) ) )
= $true )
| ( ( SV68 @ SV189 @ SV273 )
= $true )
| ( ( SV68 @ ( sK73_SY702 @ SV273 @ SV189 @ SV68 ) @ ( cons_n413985352tr_b_c @ ( sK86_SY1642 @ SV189 @ SV273 @ SV68 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV68 @ ( sK12_SY701 @ SV273 @ SV189 @ SV68 ) @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3243]) ).
thf(3364,plain,
! [SV71: option2026120038on_j_k,SV191: option2026120038on_j_k > option_element_ptr_a > $o,SV274: option_element_ptr_a] :
( ( ( SV274
= ( some_element_ptr_a @ ( sK222_SY1746 @ SV274 @ SV191 @ SV71 ) ) )
= $true )
| ( ( SV191 @ SV71 @ SV274 )
= $true )
| ( ( SV274 = none_element_ptr_a )
= $true )
| ( ( SV71 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3246]) ).
thf(3365,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV386: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
= ( some_element_ptr_a @ SV386 ) )
= $false )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV386 ) ) )
= $true )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3251]) ).
thf(3366,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3252]) ).
thf(3367,plain,
! [SV193: option_element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3253]) ).
thf(3368,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( SV193
!= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3254]) ).
thf(3369,plain,
! [SV193: option_element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ~ ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3254]) ).
thf(3370,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV387: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
= ( some_S1960742641on_j_k @ SV387 ) )
= $false )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV387 ) ) )
= $true )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3256]) ).
thf(3371,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3257]) ).
thf(3372,plain,
! [SV195: option2026120038on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3258]) ).
thf(3373,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( SV195
!= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3374,plain,
! [SV195: option2026120038on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( ~ ~ ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3375,plain,
! [SV76: option_element_ptr_a,SV196: option_element_ptr_a > option2026120038on_j_k > $o,SV278: option2026120038on_j_k] :
( ( ( SV278
= ( some_S1960742641on_j_k @ ( sK225_SY1747 @ SV278 @ SV196 @ SV76 ) ) )
= $true )
| ( ( SV196 @ SV76 @ SV278 )
= $true )
| ( ( SV278 = none_S1393028981on_j_k )
= $true )
| ( ( SV76 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3261]) ).
thf(3376,plain,
! [SV199: list_char,SV281: list_char,SV81: list_char > list_char > $o] :
( ( ( SV81 @ ( cons_char @ ( sK139_SY760 @ SV281 @ SV199 @ SV81 ) @ ( sK169_SY1705 @ SV199 @ SV281 @ SV81 ) ) @ ( sK226_SY1748 @ SV281 @ SV199 @ SV81 ) )
= $true )
| ( ( SV81 @ SV199 @ SV281 )
= $true )
| ( ( SV81 @ ( sK76_SY759 @ SV281 @ SV199 @ SV81 ) @ nil_char )
= $false )
| ( ( SV81 @ nil_char @ ( sK17_SY758 @ SV281 @ SV199 @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3266]) ).
thf(3377,plain,
! [SV82: list_char > $o,SV200: list_char] :
( ( ( ( sK90_SY766 @ SV200 @ SV82 )
= ( sK110_SY1660 @ SV82 @ SV200 ) )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK110_SY1660 @ SV82 @ SV200 ) @ ( sK140_SY1685 @ SV82 @ SV200 ) ) )
= $true )
| ( ( SV82 @ SV200 )
= $true )
| ( ( SV82 @ ( cons_char @ ( sK35_SY765 @ SV200 @ SV82 ) @ nil_char ) )
= $false )
| ( ( SV82 @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3268]) ).
thf(3378,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV388: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
= ( some_element_ptr_a @ SV388 ) )
= $false )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV388 ) ) )
= $true )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3270]) ).
thf(3379,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3271]) ).
thf(3380,plain,
! [SV202: option_element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3272]) ).
thf(3381,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
!= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3273]) ).
thf(3382,plain,
! [SV202: option_element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ~ ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3273]) ).
thf(3383,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( ~ ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3384,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3385,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3275]) ).
thf(3386,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3276]) ).
thf(3387,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3277]) ).
thf(3388,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3278]) ).
thf(3389,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3280]) ).
thf(3390,plain,
! [SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c,SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c] :
( ( ( SV88 = SV284 )
= $true )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3281]) ).
thf(3391,plain,
! [SV284: list_n282880152tr_b_c,SV88: list_n282880152tr_b_c,SV321: node_p1234578834tr_b_c,SV204: node_p1234578834tr_b_c] :
( ( ( SV204 = SV321 )
= $true )
| ( ( SV88 = SV284 )
= $false )
| ( ( SV204 = SV321 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3282]) ).
thf(3392,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ~ ( ( ( cons_char @ SV95 @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3283]) ).
thf(3393,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ~ ( ( ( cons_char @ SV95 @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3284]) ).
thf(3394,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
= $false )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3285]) ).
thf(3395,plain,
! [SV379: list_char,SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
!= ( append_char @ SV286 @ SV322 ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3286]) ).
thf(3396,plain,
! [SV379: list_char,SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3286]) ).
thf(3397,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3287]) ).
thf(3398,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3288]) ).
thf(3399,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
= $false )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3289]) ).
thf(3400,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3290]) ).
thf(3401,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3290]) ).
thf(3402,plain,
! [SV98: option2026120038on_j_k,SV212: option2026120038on_j_k > option2026120038on_j_k > $o,SV288: option2026120038on_j_k] :
( ( ( SV288
= ( some_S1960742641on_j_k @ ( sK228_SY1749 @ SV288 @ SV212 @ SV98 ) ) )
= $true )
| ( ( SV212 @ SV98 @ SV288 )
= $true )
| ( ( SV288 = none_S1393028981on_j_k )
= $true )
| ( ( SV98 = none_S1393028981on_j_k )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3292]) ).
thf(3403,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( ~ ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3296]) ).
thf(3404,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3296]) ).
thf(3405,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3297]) ).
thf(3406,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3298]) ).
thf(3407,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3299]) ).
thf(3408,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3300]) ).
thf(3409,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3302]) ).
thf(3410,plain,
! [SV361: node_p1234578834tr_b_c,SV374: list_n282880152tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( ! [SY1776: list_n282880152tr_b_c] :
( SV101
!= ( cons_n413985352tr_b_c @ ( sK242_SY820 @ SV374 @ SV361 @ SV101 ) @ SY1776 ) ) )
= $false )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3303]) ).
thf(3411,plain,
! [SV399: sum_su1221287958on_j_k,SV216: option2026120038on_j_k > $o] :
( ( ( SV216 @ ( some_S1960742641on_j_k @ SV399 ) )
= $true )
| ( ( SV216 @ none_S1393028981on_j_k )
= $false )
| ( ( SV216 @ ( some_S1960742641on_j_k @ ( sK116_SY1181 @ SV216 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3305]) ).
thf(3412,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ( ( size_size_list_char @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) )
!= ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
| ( ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) )
!= ( size_size_list_char @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
| ~ ( SV324 @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) )
| ( SV324 @ ( cons_char @ ( sK176_SY1524 @ SV291 @ SV217 @ SV106 @ SV324 ) @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) ) @ ( cons_char @ ( sK229_SY1750 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) @ ( cons_char @ ( sK258_SY1777 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3306]) ).
thf(3413,plain,
! [SV219: list_n282880152tr_b_c,SV292: list_n282880152tr_b_c,SV110: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV110 @ ( cons_n413985352tr_b_c @ ( sK146_SY854 @ SV292 @ SV219 @ SV110 ) @ ( sK177_SY1709 @ SV219 @ SV292 @ SV110 ) ) @ ( sK230_SY1754 @ SV292 @ SV219 @ SV110 ) )
= $true )
| ( ( SV110 @ SV219 @ SV292 )
= $true )
| ( ( SV110 @ ( sK78_SY853 @ SV292 @ SV219 @ SV110 ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV110 @ nil_no279930520tr_b_c @ ( sK23_SY852 @ SV292 @ SV219 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3308]) ).
thf(3414,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ! [SY1813: list_n282880152tr_b_c] :
( ~ ( SV111 @ ( sK259_SY1779 @ SV220 @ SV293 @ SV111 ) @ SY1813 )
| ( SV111 @ ( cons_n413985352tr_b_c @ ( sK244_SY864 @ SV293 @ SV220 @ SV111 ) @ ( sK259_SY1779 @ SV220 @ SV293 @ SV111 ) ) @ ( cons_n413985352tr_b_c @ ( sK270_SY1800 @ SV293 @ SV220 @ SV111 ) @ SY1813 ) ) ) )
= $false )
| ( ( SV111 @ SV220 @ SV293 )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3310]) ).
thf(3415,plain,
! [SV117: list_n282880152tr_b_c > $o,SV226: list_n282880152tr_b_c] :
( ( ( ( sK96_SY883 @ SV226 @ SV117 )
= ( sK119_SY1669 @ SV117 @ SV226 ) )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK119_SY1669 @ SV117 @ SV226 ) @ ( sK149_SY1691 @ SV117 @ SV226 ) ) )
= $true )
| ( ( SV117 @ SV226 )
= $true )
| ( ( SV117 @ ( cons_n413985352tr_b_c @ ( sK44_SY882 @ SV226 @ SV117 ) @ nil_no279930520tr_b_c ) )
= $false )
| ( ( SV117 @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3312]) ).
thf(3416,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ( ( size_s2106487044tr_b_c @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) )
!= ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
| ( ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) )
!= ( size_s2106487044tr_b_c @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
| ~ ( SV325 @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) )
| ( SV325 @ ( cons_n413985352tr_b_c @ ( sK181_SY1530 @ SV295 @ SV228 @ SV120 @ SV325 ) @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) ) @ ( cons_n413985352tr_b_c @ ( sK235_SY1755 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) @ ( cons_n413985352tr_b_c @ ( sK260_SY1782 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3314]) ).
thf(3417,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ! [SY1814: list_char,SY1815: char,SY1816: list_char,SY1817: char,SY1818: list_char] :
( ( ( size_size_list_char @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) )
!= ( size_size_list_char @ SY1814 ) )
| ( ( size_size_list_char @ SY1814 )
!= ( size_size_list_char @ SY1816 ) )
| ( ( size_size_list_char @ SY1816 )
!= ( size_size_list_char @ SY1818 ) )
| ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ SY1814 @ SY1816 @ SY1818 )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ SY1814 ) @ ( cons_char @ SY1815 @ SY1816 ) @ ( cons_char @ SY1817 @ SY1818 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3315]) ).
thf(3418,plain,
! [SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k,SV297: product_unit,SV125: product_unit] :
( ( ( SV125 = SV297 )
= $true )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3316]) ).
thf(3419,plain,
! [SV297: product_unit,SV125: product_unit,SV327: rDocum326988203on_j_k,SV233: rDocum326988203on_j_k] :
( ( ( SV233 = SV327 )
= $true )
| ( ( SV125 = SV297 )
= $false )
| ( ( SV233 = SV327 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3317]) ).
thf(3420,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3319]) ).
thf(3421,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3320]) ).
thf(3422,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( ~ ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3321]) ).
thf(3423,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3321]) ).
thf(3424,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3322]) ).
thf(3425,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3323]) ).
thf(3426,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3324]) ).
thf(3427,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3325]) ).
thf(3428,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3327]) ).
thf(3429,plain,
! [SV400: element_ptr_a,SV239: option_element_ptr_a > $o] :
( ( ( SV239 @ ( some_element_ptr_a @ SV400 ) )
= $true )
| ( ( SV239 @ none_element_ptr_a )
= $false )
| ( ( SV239 @ ( some_element_ptr_a @ ( sK122_SY1258 @ SV239 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3329]) ).
thf(3430,plain,
! [SV133: option_element_ptr_a,SV240: option_element_ptr_a > option_element_ptr_a > $o,SV300: option_element_ptr_a] :
( ( ( SV300
= ( some_element_ptr_a @ ( sK236_SY1759 @ SV300 @ SV240 @ SV133 ) ) )
= $true )
| ( ( SV240 @ SV133 @ SV300 )
= $true )
| ( ( SV300 = none_element_ptr_a )
= $true )
| ( ( SV133 = none_element_ptr_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3331]) ).
thf(3431,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( ~ ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3335]) ).
thf(3432,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3335]) ).
thf(3433,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3336]) ).
thf(3434,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3337]) ).
thf(3435,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3338]) ).
thf(3436,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3339]) ).
thf(3437,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3341]) ).
thf(3438,plain,
! [SV364: char,SV376: list_char,SV137: list_char] :
( ( ( ! [SY1791: list_char] :
( SV137
!= ( cons_char @ ( sK249_SY950 @ SV376 @ SV364 @ SV137 ) @ SY1791 ) ) )
= $false )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3342]) ).
thf(3439,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3343]) ).
thf(3440,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3344]) ).
thf(3441,plain,
! [SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
= $false )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3345]) ).
thf(3442,plain,
! [SV384: list_char,SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( append_char @ SV138 @ SV243 )
!= ( cons_char @ SV302 @ SV329 ) )
= $false )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3346]) ).
thf(3443,plain,
! [SV384: list_char,SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) ) )
= $false )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3346]) ).
thf(3444,plain,
! [SV244: char > char > $o,SV303: list_char,SV139: ( char > char > $o ) > list_char > $o] :
( ( ( SV139 @ ( sK187_SY961 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK237_SY1760 @ SV244 @ SV303 @ SV139 ) @ ( sK250_SY1769 @ SV244 @ SV303 @ SV139 ) ) )
= $true )
| ( ( SV139 @ SV244 @ SV303 )
= $true )
| ( ( SV139 @ ( sK81_SY959 @ SV303 @ SV244 @ SV139 ) @ ( cons_char @ ( sK98_SY1651 @ SV244 @ SV303 @ SV139 ) @ nil_char ) )
= $false )
| ( ( SV139 @ ( sK26_SY958 @ SV303 @ SV244 @ SV139 ) @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3347]) ).
thf(3445,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ! [SY1819: list_char] :
( ~ ( SV146 @ ( sK264_SY1792 @ SV249 @ SV304 @ SV146 ) @ SY1819 )
| ( SV146 @ ( cons_n413985352tr_b_c @ ( sK251_SY984 @ SV304 @ SV249 @ SV146 ) @ ( sK264_SY1792 @ SV249 @ SV304 @ SV146 ) ) @ ( cons_char @ ( sK273_SY1809 @ SV304 @ SV249 @ SV146 ) @ SY1819 ) ) ) )
= $false )
| ( ( SV146 @ SV249 @ SV304 )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3349]) ).
thf(3446,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV395: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
= ( some_S1960742641on_j_k @ SV395 ) )
= $false )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV395 ) ) )
= $true )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3351]) ).
thf(3447,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3352]) ).
thf(3448,plain,
! [SV251: option2026120038on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3353]) ).
thf(3449,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
!= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3354]) ).
thf(3450,plain,
! [SV251: option2026120038on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ~ ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3354]) ).
thf(3451,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3355]) ).
thf(3452,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3356]) ).
thf(3453,plain,
! [SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
= $false )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3357]) ).
thf(3454,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3358]) ).
thf(3455,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) ) )
= $false )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3358]) ).
thf(3456,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ~ ( SV61 @ ( sK252_SY1770 @ SV182 @ SV269 @ SV61 ) @ ( sK274_SY1811 @ SV269 @ SV182 @ SV61 ) )
| ( SV61 @ ( cons_char @ ( sK239_SY667 @ SV269 @ SV182 @ SV61 ) @ ( sK252_SY1770 @ SV182 @ SV269 @ SV61 ) ) @ ( cons_char @ ( sK267_SY1795 @ SV269 @ SV182 @ SV61 ) @ ( sK274_SY1811 @ SV269 @ SV182 @ SV61 ) ) ) )
= $false )
| ( ( SV61 @ SV182 @ SV269 )
= $true )
| ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3359]) ).
thf(3457,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV62 @ ( sK253_SY1773 @ SV183 @ SV270 @ SV62 ) @ ( sK275_SY1812 @ SV270 @ SV183 @ SV62 ) )
| ( SV62 @ ( cons_char @ ( sK240_SY677 @ SV270 @ SV183 @ SV62 ) @ ( sK253_SY1773 @ SV183 @ SV270 @ SV62 ) ) @ ( cons_n413985352tr_b_c @ ( sK268_SY1797 @ SV270 @ SV183 @ SV62 ) @ ( sK275_SY1812 @ SV270 @ SV183 @ SV62 ) ) ) )
= $false )
| ( ( SV62 @ SV183 @ SV270 )
= $true )
| ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3360]) ).
thf(3458,plain,
! [SV193: option_element_ptr_a,SV386: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( SV276 @ SV386 ) ) )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ SV386 ) )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3365]) ).
thf(3459,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3366]) ).
thf(3460,plain,
! [SV193: option_element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3367]) ).
thf(3461,plain,
! [SV73: option2026120038on_j_k > $o,SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a] :
( ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3368]) ).
thf(3462,plain,
! [SV193: option_element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3369]) ).
thf(3463,plain,
! [SV195: option2026120038on_j_k,SV387: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( SV277 @ SV387 ) ) )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV387 ) )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3370]) ).
thf(3464,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3371]) ).
thf(3465,plain,
! [SV195: option2026120038on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3372]) ).
thf(3466,plain,
! [SV75: option_element_ptr_a > $o,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k] :
( ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3373]) ).
thf(3467,plain,
! [SV195: option2026120038on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3374]) ).
thf(3468,plain,
! [SV202: option_element_ptr_a,SV388: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( SV282 @ SV388 ) ) )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ SV388 ) )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3378]) ).
thf(3469,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3379]) ).
thf(3470,plain,
! [SV202: option_element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3471,plain,
! [SV86: option_element_ptr_a > $o,SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3381]) ).
thf(3472,plain,
! [SV202: option_element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3382]) ).
thf(3473,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV203: option_element_ptr_a,SV87: option2026120038on_j_k > $o] :
( ( ( SV87 @ ( bind_e1012152651on_j_k @ SV203 @ SV283 ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3383]) ).
thf(3474,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3384]) ).
thf(3475,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3386]) ).
thf(3476,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3388]) ).
thf(3477,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3389]) ).
thf(3478,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3389]) ).
thf(3479,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3392]) ).
thf(3480,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3393]) ).
thf(3481,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( SV286 != nil_char )
= $false )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3394]) ).
thf(3482,plain,
! [SV286: list_char,SV322: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
!= SV322 )
= $false )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3394]) ).
thf(3483,plain,
! [SV379: list_char,SV322: list_char,SV286: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3395]) ).
thf(3484,plain,
! [SV379: list_char,SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
| ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3396]) ).
thf(3485,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3397]) ).
thf(3486,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3398]) ).
thf(3487,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( SV287 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3399]) ).
thf(3488,plain,
! [SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 )
= $false )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3399]) ).
thf(3489,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3400]) ).
thf(3490,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
| ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3401]) ).
thf(3491,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV213: option2026120038on_j_k,SV99: option_element_ptr_a > $o] :
( ( ( SV99 @ ( bind_S287509021_ptr_a @ SV213 @ SV289 ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3403]) ).
thf(3492,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3404]) ).
thf(3493,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3406]) ).
thf(3494,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3408]) ).
thf(3495,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3409]) ).
thf(3496,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3409]) ).
thf(3497,plain,
! [SV361: node_p1234578834tr_b_c,SV374: list_n282880152tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( SV101
!= ( cons_n413985352tr_b_c @ ( sK242_SY820 @ SV374 @ SV361 @ SV101 ) @ ( sK276_SY1776 @ SV361 @ SV374 @ SV101 ) ) )
= $false )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3410]) ).
thf(3498,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ( size_size_list_char @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) )
!= ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3412]) ).
thf(3499,plain,
! [SV106: list_char,SV217: list_char,SV291: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( ( ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) )
!= ( size_size_list_char @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
| ~ ( SV324 @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) )
| ( SV324 @ ( cons_char @ ( sK176_SY1524 @ SV291 @ SV217 @ SV106 @ SV324 ) @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) ) @ ( cons_char @ ( sK229_SY1750 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) @ ( cons_char @ ( sK258_SY1777 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3412]) ).
thf(3500,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV111 @ ( sK259_SY1779 @ SV220 @ SV293 @ SV111 ) @ ( sK277_SY1813 @ SV293 @ SV220 @ SV111 ) )
| ( SV111 @ ( cons_n413985352tr_b_c @ ( sK244_SY864 @ SV293 @ SV220 @ SV111 ) @ ( sK259_SY1779 @ SV220 @ SV293 @ SV111 ) ) @ ( cons_n413985352tr_b_c @ ( sK270_SY1800 @ SV293 @ SV220 @ SV111 ) @ ( sK277_SY1813 @ SV293 @ SV220 @ SV111 ) ) ) )
= $false )
| ( ( SV111 @ SV220 @ SV293 )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3414]) ).
thf(3501,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) )
!= ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3502,plain,
! [SV120: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV295: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ( ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) )
!= ( size_s2106487044tr_b_c @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
| ~ ( SV325 @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) )
| ( SV325 @ ( cons_n413985352tr_b_c @ ( sK181_SY1530 @ SV295 @ SV228 @ SV120 @ SV325 ) @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) ) @ ( cons_n413985352tr_b_c @ ( sK235_SY1755 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) @ ( cons_n413985352tr_b_c @ ( sK260_SY1782 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3503,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ! [SY1820: char,SY1821: list_char,SY1822: char,SY1823: list_char] :
( ( ( size_size_list_char @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) )
!= ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ( ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ SY1821 ) )
| ( ( size_size_list_char @ SY1821 )
!= ( size_size_list_char @ SY1823 ) )
| ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ SY1821 @ SY1823 )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ SY1820 @ SY1821 ) @ ( cons_char @ SY1822 @ SY1823 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3417]) ).
thf(3504,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3420]) ).
thf(3505,plain,
! [SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit,SV375: option2026120038on_j_k,SV343: option2026120038on_j_k] :
( ( ( SV343 != SV375 )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3420]) ).
thf(3506,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) ) )
= $true )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3421]) ).
thf(3507,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV236: option2026120038on_j_k,SV128: option2026120038on_j_k > $o] :
( ( ( SV128 @ ( bind_S607117548on_j_k @ SV236 @ SV299 ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3422]) ).
thf(3508,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3423]) ).
thf(3509,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3425]) ).
thf(3510,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3427]) ).
thf(3511,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3428]) ).
thf(3512,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3428]) ).
thf(3513,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV242: option_element_ptr_a,SV136: option_element_ptr_a > $o] :
( ( ( SV136 @ ( bind_e22036734_ptr_a @ SV242 @ SV301 ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3431]) ).
thf(3514,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3432]) ).
thf(3515,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3434]) ).
thf(3516,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3436]) ).
thf(3517,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3437]) ).
thf(3518,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3437]) ).
thf(3519,plain,
! [SV364: char,SV376: list_char,SV137: list_char] :
( ( ( SV137
!= ( cons_char @ ( sK249_SY950 @ SV376 @ SV364 @ SV137 ) @ ( sK279_SY1791 @ SV364 @ SV376 @ SV137 ) ) )
= $false )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3438]) ).
thf(3520,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ( SV138
!= ( cons_char @ SV302 @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3439]) ).
thf(3521,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ( SV138
!= ( cons_char @ SV302 @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3440]) ).
thf(3522,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( SV138 != nil_char )
= $false )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3441]) ).
thf(3523,plain,
! [SV138: list_char,SV329: list_char,SV302: char,SV243: list_char] :
( ( ( SV243
!= ( cons_char @ SV302 @ SV329 ) )
= $false )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3441]) ).
thf(3524,plain,
! [SV384: list_char,SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3442]) ).
thf(3525,plain,
! [SV384: list_char,SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
| ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3443]) ).
thf(3526,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ~ ( SV146 @ ( sK264_SY1792 @ SV249 @ SV304 @ SV146 ) @ ( sK280_SY1819 @ SV304 @ SV249 @ SV146 ) )
| ( SV146 @ ( cons_n413985352tr_b_c @ ( sK251_SY984 @ SV304 @ SV249 @ SV146 ) @ ( sK264_SY1792 @ SV249 @ SV304 @ SV146 ) ) @ ( cons_char @ ( sK273_SY1809 @ SV304 @ SV249 @ SV146 ) @ ( sK280_SY1819 @ SV304 @ SV249 @ SV146 ) ) ) )
= $false )
| ( ( SV146 @ SV249 @ SV304 )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3445]) ).
thf(3527,plain,
! [SV251: option2026120038on_j_k,SV395: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( SV306 @ SV395 ) ) )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV395 ) )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3446]) ).
thf(3528,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3447]) ).
thf(3529,plain,
! [SV251: option2026120038on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3448]) ).
thf(3530,plain,
! [SV149: option2026120038on_j_k > $o,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3449]) ).
thf(3531,plain,
! [SV251: option2026120038on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3450]) ).
thf(3532,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3451]) ).
thf(3533,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3452]) ).
thf(3534,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3453]) ).
thf(3535,plain,
! [SV150: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c] :
( ( ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3453]) ).
thf(3536,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3454]) ).
thf(3537,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
| ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3455]) ).
thf(3538,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( ~ ( SV61 @ ( sK252_SY1770 @ SV182 @ SV269 @ SV61 ) @ ( sK274_SY1811 @ SV269 @ SV182 @ SV61 ) ) )
= $false )
| ( ( SV61 @ SV182 @ SV269 )
= $true )
| ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3456]) ).
thf(3539,plain,
! [SV182: list_char,SV269: list_char,SV61: list_char > list_char > $o] :
( ( ( SV61 @ ( cons_char @ ( sK239_SY667 @ SV269 @ SV182 @ SV61 ) @ ( sK252_SY1770 @ SV182 @ SV269 @ SV61 ) ) @ ( cons_char @ ( sK267_SY1795 @ SV269 @ SV182 @ SV61 ) @ ( sK274_SY1811 @ SV269 @ SV182 @ SV61 ) ) )
= $false )
| ( ( SV61 @ SV182 @ SV269 )
= $true )
| ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3456]) ).
thf(3540,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV62 @ ( sK253_SY1773 @ SV183 @ SV270 @ SV62 ) @ ( sK275_SY1812 @ SV270 @ SV183 @ SV62 ) ) )
= $false )
| ( ( SV62 @ SV183 @ SV270 )
= $true )
| ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3457]) ).
thf(3541,plain,
! [SV183: list_char,SV270: list_n282880152tr_b_c,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( SV62 @ ( cons_char @ ( sK240_SY677 @ SV270 @ SV183 @ SV62 ) @ ( sK253_SY1773 @ SV183 @ SV270 @ SV62 ) ) @ ( cons_n413985352tr_b_c @ ( sK268_SY1797 @ SV270 @ SV183 @ SV62 ) @ ( sK275_SY1812 @ SV270 @ SV183 @ SV62 ) ) )
= $false )
| ( ( SV62 @ SV183 @ SV270 )
= $true )
| ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3457]) ).
thf(3542,plain,
! [SV193: option_element_ptr_a,SV386: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( SV276 @ SV386 ) )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ SV386 ) )
= $false )
| ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3458]) ).
thf(3543,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3459]) ).
thf(3544,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3459]) ).
thf(3545,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3460]) ).
thf(3546,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3461]) ).
thf(3547,plain,
! [SV193: option_element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3462]) ).
thf(3548,plain,
! [SV195: option2026120038on_j_k,SV387: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( SV277 @ SV387 ) )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV387 ) )
= $false )
| ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3463]) ).
thf(3549,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3464]) ).
thf(3550,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3464]) ).
thf(3551,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3465]) ).
thf(3552,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3466]) ).
thf(3553,plain,
! [SV195: option2026120038on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3467]) ).
thf(3554,plain,
! [SV202: option_element_ptr_a,SV388: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( SV282 @ SV388 ) )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ SV388 ) )
= $false )
| ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3468]) ).
thf(3555,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3469]) ).
thf(3556,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3469]) ).
thf(3557,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3470]) ).
thf(3558,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3471]) ).
thf(3559,plain,
! [SV202: option_element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( ~ ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3472]) ).
thf(3560,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
| ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3474]) ).
thf(3561,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3475]) ).
thf(3562,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3475]) ).
thf(3563,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3476]) ).
thf(3564,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3476]) ).
thf(3565,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3477]) ).
thf(3566,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3478]) ).
thf(3567,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3479]) ).
thf(3568,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV209: list_char] :
( ( ( SV209
!= ( append_char @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3479]) ).
thf(3569,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3480]) ).
thf(3570,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV209: list_char] :
( ( ( SV209
!= ( append_char @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3480]) ).
thf(3571,plain,
! [SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( SV286 = nil_char )
= $true )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3481]) ).
thf(3572,plain,
! [SV286: list_char,SV322: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3482]) ).
thf(3573,plain,
! [SV379: list_char,SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ~ ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) ) )
= $true )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3484]) ).
thf(3574,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3485]) ).
thf(3575,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
!= ( append846395565tr_b_c @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3485]) ).
thf(3576,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3486]) ).
thf(3577,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
!= ( append846395565tr_b_c @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3486]) ).
thf(3578,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3487]) ).
thf(3579,plain,
! [SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3488]) ).
thf(3580,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) ) )
= $true )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3490]) ).
thf(3581,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
| ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3492]) ).
thf(3582,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3493]) ).
thf(3583,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3493]) ).
thf(3584,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3494]) ).
thf(3585,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3494]) ).
thf(3586,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3495]) ).
thf(3587,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3496]) ).
thf(3588,plain,
! [SV361: node_p1234578834tr_b_c,SV374: list_n282880152tr_b_c,SV101: list_n282880152tr_b_c] :
( ( ( SV101
= ( cons_n413985352tr_b_c @ ( sK242_SY820 @ SV374 @ SV361 @ SV101 ) @ ( sK276_SY1776 @ SV361 @ SV374 @ SV101 ) ) )
= $true )
| ( ( SV101
= ( cons_n413985352tr_b_c @ SV361 @ SV374 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3497]) ).
thf(3589,plain,
! [SV324: list_char > list_char > list_char > $o,SV291: list_char,SV217: list_char,SV106: list_char] :
( ( ( ( size_size_list_char @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) )
= ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
= $true )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3498]) ).
thf(3590,plain,
! [SV106: list_char,SV217: list_char,SV291: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) )
!= ( size_size_list_char @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3499]) ).
thf(3591,plain,
! [SV291: list_char,SV217: list_char,SV106: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( ~ ( SV324 @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) )
| ( SV324 @ ( cons_char @ ( sK176_SY1524 @ SV291 @ SV217 @ SV106 @ SV324 ) @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) ) @ ( cons_char @ ( sK229_SY1750 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) @ ( cons_char @ ( sK258_SY1777 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3499]) ).
thf(3592,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV111 @ ( sK259_SY1779 @ SV220 @ SV293 @ SV111 ) @ ( sK277_SY1813 @ SV293 @ SV220 @ SV111 ) ) )
= $false )
| ( ( SV111 @ SV220 @ SV293 )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3500]) ).
thf(3593,plain,
! [SV220: list_n282880152tr_b_c,SV293: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK244_SY864 @ SV293 @ SV220 @ SV111 ) @ ( sK259_SY1779 @ SV220 @ SV293 @ SV111 ) ) @ ( cons_n413985352tr_b_c @ ( sK270_SY1800 @ SV293 @ SV220 @ SV111 ) @ ( sK277_SY1813 @ SV293 @ SV220 @ SV111 ) ) )
= $false )
| ( ( SV111 @ SV220 @ SV293 )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3500]) ).
thf(3594,plain,
! [SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o,SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c] :
( ( ( ( size_s2106487044tr_b_c @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) )
= ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
= $true )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3501]) ).
thf(3595,plain,
! [SV120: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV295: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) )
!= ( size_s2106487044tr_b_c @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3502]) ).
thf(3596,plain,
! [SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV325 @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) )
| ( SV325 @ ( cons_n413985352tr_b_c @ ( sK181_SY1530 @ SV295 @ SV228 @ SV120 @ SV325 ) @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) ) @ ( cons_n413985352tr_b_c @ ( sK235_SY1755 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) @ ( cons_n413985352tr_b_c @ ( sK260_SY1782 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3502]) ).
thf(3597,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ! [SY1824: list_char,SY1825: char,SY1826: list_char] :
( ( ( size_size_list_char @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) )
!= ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ( ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ SY1824 ) )
| ( ( size_size_list_char @ SY1824 )
!= ( size_size_list_char @ SY1826 ) )
| ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ SY1824 @ SY1826 )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK281_SY1820 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ SY1824 ) @ ( cons_char @ SY1825 @ SY1826 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3503]) ).
thf(3598,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) ) )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3504]) ).
thf(3599,plain,
! [SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit,SV375: option2026120038on_j_k,SV343: option2026120038on_j_k] :
( ( ( SV343 = SV375 )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3505]) ).
thf(3600,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) ) )
= $false )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3506]) ).
thf(3601,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
| ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3508]) ).
thf(3602,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3509]) ).
thf(3603,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3509]) ).
thf(3604,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3510]) ).
thf(3605,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3510]) ).
thf(3606,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3511]) ).
thf(3607,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3512]) ).
thf(3608,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
| ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3514]) ).
thf(3609,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3515]) ).
thf(3610,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3515]) ).
thf(3611,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3516]) ).
thf(3612,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3516]) ).
thf(3613,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3517]) ).
thf(3614,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3518]) ).
thf(3615,plain,
! [SV364: char,SV376: list_char,SV137: list_char] :
( ( ( SV137
= ( cons_char @ ( sK249_SY950 @ SV376 @ SV364 @ SV137 ) @ ( sK279_SY1791 @ SV364 @ SV376 @ SV137 ) ) )
= $true )
| ( ( SV137
= ( cons_char @ SV364 @ SV376 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3519]) ).
thf(3616,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
!= ( cons_char @ SV302 @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3520]) ).
thf(3617,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char] :
( ( ( ( append_char @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3520]) ).
thf(3618,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
!= ( cons_char @ SV302 @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3521]) ).
thf(3619,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char] :
( ( ( ( append_char @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3521]) ).
thf(3620,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( SV138 = nil_char )
= $true )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3522]) ).
thf(3621,plain,
! [SV138: list_char,SV329: list_char,SV302: char,SV243: list_char] :
( ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3523]) ).
thf(3622,plain,
! [SV384: list_char,SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ~ ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) ) )
= $true )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3525]) ).
thf(3623,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( ~ ( SV146 @ ( sK264_SY1792 @ SV249 @ SV304 @ SV146 ) @ ( sK280_SY1819 @ SV304 @ SV249 @ SV146 ) ) )
= $false )
| ( ( SV146 @ SV249 @ SV304 )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3526]) ).
thf(3624,plain,
! [SV249: list_n282880152tr_b_c,SV304: list_char,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK251_SY984 @ SV304 @ SV249 @ SV146 ) @ ( sK264_SY1792 @ SV249 @ SV304 @ SV146 ) ) @ ( cons_char @ ( sK273_SY1809 @ SV304 @ SV249 @ SV146 ) @ ( sK280_SY1819 @ SV304 @ SV249 @ SV146 ) ) )
= $false )
| ( ( SV146 @ SV249 @ SV304 )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3526]) ).
thf(3625,plain,
! [SV251: option2026120038on_j_k,SV395: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( SV306 @ SV395 ) )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV395 ) )
= $false )
| ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3527]) ).
thf(3626,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3528]) ).
thf(3627,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3528]) ).
thf(3628,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3529]) ).
thf(3629,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3530]) ).
thf(3630,plain,
! [SV251: option2026120038on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( ~ ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3531]) ).
thf(3631,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3532]) ).
thf(3632,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3532]) ).
thf(3633,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3533]) ).
thf(3634,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3533]) ).
thf(3635,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3534]) ).
thf(3636,plain,
! [SV150: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c] :
( ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3535]) ).
thf(3637,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) ) )
= $true )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3537]) ).
thf(3638,plain,
! [SV269: list_char,SV182: list_char,SV61: list_char > list_char > $o] :
( ( ( SV61 @ ( sK252_SY1770 @ SV182 @ SV269 @ SV61 ) @ ( sK274_SY1811 @ SV269 @ SV182 @ SV61 ) )
= $true )
| ( ( SV61 @ SV182 @ SV269 )
= $true )
| ( ( SV61 @ nil_char @ ( cons_char @ ( sK131_SY665 @ SV269 @ SV182 @ SV61 ) @ ( sK159_SY1700 @ SV182 @ SV269 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( cons_char @ ( sK54_SY663 @ SV269 @ SV182 @ SV61 ) @ ( sK70_SY1631 @ SV182 @ SV269 @ SV61 ) ) @ nil_char )
= $false )
| ( ( SV61 @ nil_char @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3538]) ).
thf(3639,plain,
! [SV270: list_n282880152tr_b_c,SV183: list_char,SV62: list_char > list_n282880152tr_b_c > $o] :
( ( ( SV62 @ ( sK253_SY1773 @ SV183 @ SV270 @ SV62 ) @ ( sK275_SY1812 @ SV270 @ SV183 @ SV62 ) )
= $true )
| ( ( SV62 @ SV183 @ SV270 )
= $true )
| ( ( SV62 @ nil_char @ ( cons_n413985352tr_b_c @ ( sK132_SY675 @ SV270 @ SV183 @ SV62 ) @ ( sK160_SY1701 @ SV183 @ SV270 @ SV62 ) ) )
= $false )
| ( ( SV62 @ ( cons_char @ ( sK55_SY673 @ SV270 @ SV183 @ SV62 ) @ ( sK71_SY1632 @ SV183 @ SV270 @ SV62 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV62 @ nil_char @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3540]) ).
thf(3640,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3543]) ).
thf(3641,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3544]) ).
thf(3642,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3545]) ).
thf(3643,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3545]) ).
thf(3644,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3546]) ).
thf(3645,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3546]) ).
thf(3646,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
| ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3547]) ).
thf(3647,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3549]) ).
thf(3648,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3550]) ).
thf(3649,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3551]) ).
thf(3650,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3551]) ).
thf(3651,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3552]) ).
thf(3652,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3552]) ).
thf(3653,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
| ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3553]) ).
thf(3654,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3555]) ).
thf(3655,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3556]) ).
thf(3656,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3557]) ).
thf(3657,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3557]) ).
thf(3658,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3558]) ).
thf(3659,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3558]) ).
thf(3660,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
| ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3559]) ).
thf(3661,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3560]) ).
thf(3662,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ~ ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $false )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3560]) ).
thf(3663,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3561]) ).
thf(3664,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3562]) ).
thf(3665,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3563]) ).
thf(3666,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3564]) ).
thf(3667,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 != none_element_ptr_a )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3565]) ).
thf(3668,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV401: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( ( SV203
!= ( some_element_ptr_a @ SV401 ) )
| ( SV87 @ ( SV283 @ SV401 ) ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3566]) ).
thf(3669,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
= SV286 )
= $true )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3567]) ).
thf(3670,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV209: list_char] :
( ( ( SV209
= ( append_char @ ( sK254_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $true )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3568]) ).
thf(3671,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
= SV286 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3569]) ).
thf(3672,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV209: list_char] :
( ( ( SV209
= ( append_char @ ( sK255_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= ( append_char @ SV286 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3570]) ).
thf(3673,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV95: char] :
( ( ( ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3571]) ).
thf(3674,plain,
! [SV322: list_char,SV209: list_char,SV286: list_char,SV95: char] :
( ( ( ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3572]) ).
thf(3675,plain,
! [SV379: list_char,SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( ( SV286 != nil_char )
| ( ( cons_char @ SV95 @ SV209 )
!= SV322 ) )
= $false )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3573]) ).
thf(3676,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
= SV287 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3574]) ).
thf(3677,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
= ( append846395565tr_b_c @ ( sK256_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3575]) ).
thf(3678,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
= SV287 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3576]) ).
thf(3679,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
= ( append846395565tr_b_c @ ( sK257_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= ( append846395565tr_b_c @ SV287 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3577]) ).
thf(3680,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3578]) ).
thf(3681,plain,
! [SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3579]) ).
thf(3682,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( ( SV287 != nil_no279930520tr_b_c )
| ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 ) )
= $false )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3580]) ).
thf(3683,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3581]) ).
thf(3684,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ~ ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $false )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3581]) ).
thf(3685,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3582]) ).
thf(3686,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3583]) ).
thf(3687,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3584]) ).
thf(3688,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3585]) ).
thf(3689,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 != none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3586]) ).
thf(3690,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV402: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( ( SV213
!= ( some_S1960742641on_j_k @ SV402 ) )
| ( SV99 @ ( SV289 @ SV402 ) ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3587]) ).
thf(3691,plain,
! [SV106: list_char,SV217: list_char,SV291: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( ( size_size_list_char @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) )
= ( size_size_list_char @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
= $true )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3590]) ).
thf(3692,plain,
! [SV291: list_char,SV217: list_char,SV106: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( ~ ( SV324 @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3591]) ).
thf(3693,plain,
! [SV106: list_char,SV217: list_char,SV291: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( SV324 @ ( cons_char @ ( sK176_SY1524 @ SV291 @ SV217 @ SV106 @ SV324 ) @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) ) @ ( cons_char @ ( sK229_SY1750 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) ) @ ( cons_char @ ( sK258_SY1777 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) ) )
= $false )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3591]) ).
thf(3694,plain,
! [SV293: list_n282880152tr_b_c,SV220: list_n282880152tr_b_c,SV111: list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV111 @ ( sK259_SY1779 @ SV220 @ SV293 @ SV111 ) @ ( sK277_SY1813 @ SV293 @ SV220 @ SV111 ) )
= $true )
| ( ( SV111 @ SV220 @ SV293 )
= $true )
| ( ( SV111 @ nil_no279930520tr_b_c @ ( cons_n413985352tr_b_c @ ( sK147_SY862 @ SV293 @ SV220 @ SV111 ) @ ( sK178_SY1712 @ SV220 @ SV293 @ SV111 ) ) )
= $false )
| ( ( SV111 @ ( cons_n413985352tr_b_c @ ( sK63_SY860 @ SV293 @ SV220 @ SV111 ) @ ( sK79_SY1633 @ SV220 @ SV293 @ SV111 ) ) @ nil_no279930520tr_b_c )
= $false )
| ( ( SV111 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3592]) ).
thf(3695,plain,
! [SV120: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV295: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ( size_s2106487044tr_b_c @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) )
= ( size_s2106487044tr_b_c @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
= $true )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3595]) ).
thf(3696,plain,
! [SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( ~ ( SV325 @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3596]) ).
thf(3697,plain,
! [SV120: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV295: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV325 @ ( cons_n413985352tr_b_c @ ( sK181_SY1530 @ SV295 @ SV228 @ SV120 @ SV325 ) @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) ) @ ( cons_n413985352tr_b_c @ ( sK235_SY1755 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) ) @ ( cons_n413985352tr_b_c @ ( sK260_SY1782 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) ) )
= $false )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3596]) ).
thf(3698,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ! [SY1827: char,SY1828: list_char] :
( ( ( size_size_list_char @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) )
!= ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ( ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ( ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ SY1828 ) )
| ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ SY1828 )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK281_SY1820 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ SY1827 @ SY1828 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3597]) ).
thf(3699,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3598]) ).
thf(3700,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
= $true )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3600]) ).
thf(3701,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3702,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ~ ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $false )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3703,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3602]) ).
thf(3704,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3603]) ).
thf(3705,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3604]) ).
thf(3706,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3605]) ).
thf(3707,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 != none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3606]) ).
thf(3708,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV403: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( ( SV236
!= ( some_S1960742641on_j_k @ SV403 ) )
| ( SV128 @ ( SV299 @ SV403 ) ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3607]) ).
thf(3709,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3608]) ).
thf(3710,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ~ ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $false )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3608]) ).
thf(3711,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3609]) ).
thf(3712,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3610]) ).
thf(3713,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3611]) ).
thf(3714,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3612]) ).
thf(3715,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 != none_element_ptr_a )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3613]) ).
thf(3716,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV404: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( ( SV242
!= ( some_element_ptr_a @ SV404 ) )
| ( SV136 @ ( SV301 @ SV404 ) ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3614]) ).
thf(3717,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
= ( cons_char @ SV302 @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3616]) ).
thf(3718,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char] :
( ( ( ( append_char @ ( sK262_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
= SV329 )
= $true )
| ( ( SV138 = nil_char )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3617]) ).
thf(3719,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
= ( cons_char @ SV302 @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $true )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3618]) ).
thf(3720,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char] :
( ( ( ( append_char @ ( sK263_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
= SV329 )
= $true )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ( append_char @ SV138 @ SV243 )
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3619]) ).
thf(3721,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3620]) ).
thf(3722,plain,
! [SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3621]) ).
thf(3723,plain,
! [SV384: list_char,SV329: list_char,SV302: char,SV243: list_char,SV138: list_char] :
( ( ( ( SV138 != nil_char )
| ( SV243
!= ( cons_char @ SV302 @ SV329 ) ) )
= $false )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3622]) ).
thf(3724,plain,
! [SV304: list_char,SV249: list_n282880152tr_b_c,SV146: list_n282880152tr_b_c > list_char > $o] :
( ( ( SV146 @ ( sK264_SY1792 @ SV249 @ SV304 @ SV146 ) @ ( sK280_SY1819 @ SV304 @ SV249 @ SV146 ) )
= $true )
| ( ( SV146 @ SV249 @ SV304 )
= $true )
| ( ( SV146 @ nil_no279930520tr_b_c @ ( cons_char @ ( sK155_SY982 @ SV304 @ SV249 @ SV146 ) @ ( sK189_SY1714 @ SV249 @ SV304 @ SV146 ) ) )
= $false )
| ( ( SV146 @ ( cons_n413985352tr_b_c @ ( sK68_SY980 @ SV304 @ SV249 @ SV146 ) @ ( sK82_SY1638 @ SV249 @ SV304 @ SV146 ) ) @ nil_char )
= $false )
| ( ( SV146 @ nil_no279930520tr_b_c @ nil_char )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3623]) ).
thf(3725,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3626]) ).
thf(3726,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3627]) ).
thf(3727,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3628]) ).
thf(3728,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3628]) ).
thf(3729,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3629]) ).
thf(3730,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3629]) ).
thf(3731,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
| ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3630]) ).
thf(3732,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3631]) ).
thf(3733,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK265_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
= SV330 )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3632]) ).
thf(3734,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $true )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3633]) ).
thf(3735,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK266_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
= SV330 )
= $true )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ( append846395565tr_b_c @ SV150 @ SV252 )
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3634]) ).
thf(3736,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3635]) ).
thf(3737,plain,
! [SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3636]) ).
thf(3738,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150 != nil_no279930520tr_b_c )
| ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) ) )
= $false )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3637]) ).
thf(3739,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3641]) ).
thf(3740,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3642]) ).
thf(3741,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3643]) ).
thf(3742,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3644]) ).
thf(3743,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3645]) ).
thf(3744,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3646]) ).
thf(3745,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3646]) ).
thf(3746,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3648]) ).
thf(3747,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3649]) ).
thf(3748,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3650]) ).
thf(3749,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3651]) ).
thf(3750,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3652]) ).
thf(3751,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3653]) ).
thf(3752,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3653]) ).
thf(3753,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3655]) ).
thf(3754,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3656]) ).
thf(3755,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3657]) ).
thf(3756,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3658]) ).
thf(3757,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3659]) ).
thf(3758,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3660]) ).
thf(3759,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3660]) ).
thf(3760,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ( SV203 != none_element_ptr_a )
| ( SV87 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3661]) ).
thf(3761,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( ! [SY1404: element_ptr_a] :
( ( SV203
!= ( some_element_ptr_a @ SY1404 ) )
| ( SV87 @ ( SV283 @ SY1404 ) ) ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3662]) ).
thf(3762,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 != none_element_ptr_a )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3663]) ).
thf(3763,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV405: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( ( SV203
!= ( some_element_ptr_a @ SV405 ) )
| ( SV87 @ ( SV283 @ SV405 ) ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3664]) ).
thf(3764,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 != none_element_ptr_a )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3665]) ).
thf(3765,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV406: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( ( SV203
!= ( some_element_ptr_a @ SV406 ) )
| ( SV87 @ ( SV283 @ SV406 ) ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3666]) ).
thf(3766,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 = none_element_ptr_a )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3667]) ).
thf(3767,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV401: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
!= ( some_element_ptr_a @ SV401 ) )
= $true )
| ( ( SV87 @ ( SV283 @ SV401 ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3668]) ).
thf(3768,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ~ ~ ( ( ( cons_char @ SV95 @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3673]) ).
thf(3769,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ~ ~ ( ( ( cons_char @ SV95 @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3674]) ).
thf(3770,plain,
! [SV379: list_char,SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( SV286 != nil_char )
= $false )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3675]) ).
thf(3771,plain,
! [SV379: list_char,SV286: list_char,SV322: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
!= SV322 )
= $false )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3675]) ).
thf(3772,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3680]) ).
thf(3773,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3681]) ).
thf(3774,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( SV287 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3682]) ).
thf(3775,plain,
! [SV380: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
!= SV323 )
= $false )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3682]) ).
thf(3776,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ( SV213 != none_S1393028981on_j_k )
| ( SV99 @ none_element_ptr_a ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3683]) ).
thf(3777,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( ! [SY1416: sum_su1221287958on_j_k] :
( ( SV213
!= ( some_S1960742641on_j_k @ SY1416 ) )
| ( SV99 @ ( SV289 @ SY1416 ) ) ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3684]) ).
thf(3778,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 != none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3685]) ).
thf(3779,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV407: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( ( SV213
!= ( some_S1960742641on_j_k @ SV407 ) )
| ( SV99 @ ( SV289 @ SV407 ) ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3686]) ).
thf(3780,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 != none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3687]) ).
thf(3781,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV408: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( ( SV213
!= ( some_S1960742641on_j_k @ SV408 ) )
| ( SV99 @ ( SV289 @ SV408 ) ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3688]) ).
thf(3782,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 = none_S1393028981on_j_k )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3689]) ).
thf(3783,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV402: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
!= ( some_S1960742641on_j_k @ SV402 ) )
= $true )
| ( ( SV99 @ ( SV289 @ SV402 ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3690]) ).
thf(3784,plain,
! [SV291: list_char,SV217: list_char,SV106: list_char,SV324: list_char > list_char > list_char > $o] :
( ( ( SV324 @ ( sK208_SY1727 @ SV106 @ SV217 @ SV291 @ SV324 ) @ ( sK243_SY1763 @ SV324 @ SV291 @ SV217 @ SV106 ) @ ( sK269_SY1799 @ SV324 @ SV291 @ SV217 @ SV106 ) )
= $true )
| ( ( SV324 @ SV106 @ SV217 @ SV291 )
= $true )
| ( ( SV324 @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV217 )
= ( size_size_list_char @ SV291 ) )
= $false )
| ( ( ( size_size_list_char @ SV106 )
= ( size_size_list_char @ SV217 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3692]) ).
thf(3785,plain,
! [SV295: list_n282880152tr_b_c,SV228: list_n282880152tr_b_c,SV120: list_n282880152tr_b_c,SV325: list_n282880152tr_b_c > list_n282880152tr_b_c > list_n282880152tr_b_c > $o] :
( ( ( SV325 @ ( sK212_SY1734 @ SV120 @ SV228 @ SV295 @ SV325 ) @ ( sK247_SY1766 @ SV325 @ SV295 @ SV228 @ SV120 ) @ ( sK271_SY1802 @ SV325 @ SV295 @ SV228 @ SV120 ) )
= $true )
| ( ( SV325 @ SV120 @ SV228 @ SV295 )
= $true )
| ( ( SV325 @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c @ nil_no279930520tr_b_c )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV228 )
= ( size_s2106487044tr_b_c @ SV295 ) )
= $false )
| ( ( ( size_s2106487044tr_b_c @ SV120 )
= ( size_s2106487044tr_b_c @ SV228 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3696]) ).
thf(3786,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ! [SY1829: list_char] :
( ( ( size_size_list_char @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) )
!= ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ( ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ( ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ SY1829 ) )
| ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ SY1829 )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK281_SY1820 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK287_SY1827 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ SY1829 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3698]) ).
thf(3787,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3699]) ).
thf(3788,plain,
! [SV375: option2026120038on_j_k,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c] :
( ( ( SV328 != SV372 )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3699]) ).
thf(3789,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) ) )
= $true )
| ( ( SV298 != SV368 )
= $true )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3700]) ).
thf(3790,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ( SV236 != none_S1393028981on_j_k )
| ( SV128 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3701]) ).
thf(3791,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( ! [SY1463: sum_su1221287958on_j_k] :
( ( SV236
!= ( some_S1960742641on_j_k @ SY1463 ) )
| ( SV128 @ ( SV299 @ SY1463 ) ) ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3702]) ).
thf(3792,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 != none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3703]) ).
thf(3793,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV409: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( ( SV236
!= ( some_S1960742641on_j_k @ SV409 ) )
| ( SV128 @ ( SV299 @ SV409 ) ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3704]) ).
thf(3794,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 != none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3705]) ).
thf(3795,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV410: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( ( SV236
!= ( some_S1960742641on_j_k @ SV410 ) )
| ( SV128 @ ( SV299 @ SV410 ) ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3706]) ).
thf(3796,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 = none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3707]) ).
thf(3797,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV403: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
!= ( some_S1960742641on_j_k @ SV403 ) )
= $true )
| ( ( SV128 @ ( SV299 @ SV403 ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3708]) ).
thf(3798,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ( SV242 != none_element_ptr_a )
| ( SV136 @ none_element_ptr_a ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3709]) ).
thf(3799,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( ! [SY1466: element_ptr_a] :
( ( SV242
!= ( some_element_ptr_a @ SY1466 ) )
| ( SV136 @ ( SV301 @ SY1466 ) ) ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3710]) ).
thf(3800,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 != none_element_ptr_a )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3711]) ).
thf(3801,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV411: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( ( SV242
!= ( some_element_ptr_a @ SV411 ) )
| ( SV136 @ ( SV301 @ SV411 ) ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3712]) ).
thf(3802,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 != none_element_ptr_a )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3713]) ).
thf(3803,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV412: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( ( SV242
!= ( some_element_ptr_a @ SV412 ) )
| ( SV136 @ ( SV301 @ SV412 ) ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3714]) ).
thf(3804,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 = none_element_ptr_a )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3715]) ).
thf(3805,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV404: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
!= ( some_element_ptr_a @ SV404 ) )
= $true )
| ( ( SV136 @ ( SV301 @ SV404 ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3716]) ).
thf(3806,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3721]) ).
thf(3807,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3722]) ).
thf(3808,plain,
! [SV384: list_char,SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( SV138 != nil_char )
= $false )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3723]) ).
thf(3809,plain,
! [SV384: list_char,SV138: list_char,SV329: list_char,SV302: char,SV243: list_char] :
( ( ( SV243
!= ( cons_char @ SV302 @ SV329 ) )
= $false )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3723]) ).
thf(3810,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3726]) ).
thf(3811,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3727]) ).
thf(3812,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3728]) ).
thf(3813,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3729]) ).
thf(3814,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3730]) ).
thf(3815,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3731]) ).
thf(3816,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3731]) ).
thf(3817,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3736]) ).
thf(3818,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3737]) ).
thf(3819,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150 != nil_no279930520tr_b_c )
= $false )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3738]) ).
thf(3820,plain,
! [SV385: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c] :
( ( ( SV252
!= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3738]) ).
thf(3821,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3739]) ).
thf(3822,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3739]) ).
thf(3823,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3741]) ).
thf(3824,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3743]) ).
thf(3825,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( bind_e1012152651on_j_k @ SV193 @ SV276 ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3744]) ).
thf(3826,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3745]) ).
thf(3827,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3746]) ).
thf(3828,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3746]) ).
thf(3829,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3748]) ).
thf(3830,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3750]) ).
thf(3831,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( bind_S287509021_ptr_a @ SV195 @ SV277 ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3751]) ).
thf(3832,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3752]) ).
thf(3833,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3753]) ).
thf(3834,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3753]) ).
thf(3835,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3755]) ).
thf(3836,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3757]) ).
thf(3837,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( bind_e22036734_ptr_a @ SV202 @ SV282 ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3758]) ).
thf(3838,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3759]) ).
thf(3839,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 != none_element_ptr_a )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3760]) ).
thf(3840,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV413: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( ( SV203
!= ( some_element_ptr_a @ SV413 ) )
| ( SV87 @ ( SV283 @ SV413 ) ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3761]) ).
thf(3841,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 = none_element_ptr_a )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3762]) ).
thf(3842,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV405: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
!= ( some_element_ptr_a @ SV405 ) )
= $true )
| ( ( SV87 @ ( SV283 @ SV405 ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3763]) ).
thf(3843,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 = none_element_ptr_a )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3764]) ).
thf(3844,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV406: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
!= ( some_element_ptr_a @ SV406 ) )
= $true )
| ( ( SV87 @ ( SV283 @ SV406 ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3765]) ).
thf(3845,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV401: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
= ( some_element_ptr_a @ SV401 ) )
= $false )
| ( ( SV87 @ ( SV283 @ SV401 ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV87 @ ( SV283 @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3767]) ).
thf(3846,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ~ ( ( ( cons_char @ SV95 @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3768]) ).
thf(3847,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ~ ( ( ( cons_char @ SV95 @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3769]) ).
thf(3848,plain,
! [SV379: list_char,SV322: list_char,SV209: list_char,SV95: char,SV286: list_char] :
( ( ( SV286 = nil_char )
= $true )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3770]) ).
thf(3849,plain,
! [SV379: list_char,SV286: list_char,SV322: list_char,SV209: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ~ ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3771]) ).
thf(3850,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3772]) ).
thf(3851,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3773]) ).
thf(3852,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c] :
( ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3774]) ).
thf(3853,plain,
! [SV380: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ~ ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3775]) ).
thf(3854,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 != none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3776]) ).
thf(3855,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV414: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( ( SV213
!= ( some_S1960742641on_j_k @ SV414 ) )
| ( SV99 @ ( SV289 @ SV414 ) ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3777]) ).
thf(3856,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 = none_S1393028981on_j_k )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3778]) ).
thf(3857,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV407: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
!= ( some_S1960742641on_j_k @ SV407 ) )
= $true )
| ( ( SV99 @ ( SV289 @ SV407 ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3779]) ).
thf(3858,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 = none_S1393028981on_j_k )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3780]) ).
thf(3859,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV408: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
!= ( some_S1960742641on_j_k @ SV408 ) )
= $true )
| ( ( SV99 @ ( SV289 @ SV408 ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3781]) ).
thf(3860,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV402: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
= ( some_S1960742641on_j_k @ SV402 ) )
= $false )
| ( ( SV99 @ ( SV289 @ SV402 ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV99 @ ( SV289 @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3783]) ).
thf(3861,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ( ( size_size_list_char @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) )
!= ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ( ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ( ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK281_SY1820 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK287_SY1827 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3786]) ).
thf(3862,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) ) )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3787]) ).
thf(3863,plain,
! [SV375: option2026120038on_j_k,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c] :
( ( ( SV328 = SV372 )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3788]) ).
thf(3864,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) ) )
= $false )
| ( ( SV298 != SV368 )
= $true )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3789]) ).
thf(3865,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 != none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3790]) ).
thf(3866,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV415: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( ( SV236
!= ( some_S1960742641on_j_k @ SV415 ) )
| ( SV128 @ ( SV299 @ SV415 ) ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3791]) ).
thf(3867,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 = none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3792]) ).
thf(3868,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV409: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
!= ( some_S1960742641on_j_k @ SV409 ) )
= $true )
| ( ( SV128 @ ( SV299 @ SV409 ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3793]) ).
thf(3869,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 = none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3794]) ).
thf(3870,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV410: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
!= ( some_S1960742641on_j_k @ SV410 ) )
= $true )
| ( ( SV128 @ ( SV299 @ SV410 ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3795]) ).
thf(3871,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV403: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
= ( some_S1960742641on_j_k @ SV403 ) )
= $false )
| ( ( SV128 @ ( SV299 @ SV403 ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ ( SV299 @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3797]) ).
thf(3872,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 != none_element_ptr_a )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3798]) ).
thf(3873,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV416: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( ( SV242
!= ( some_element_ptr_a @ SV416 ) )
| ( SV136 @ ( SV301 @ SV416 ) ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3799]) ).
thf(3874,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 = none_element_ptr_a )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3800]) ).
thf(3875,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV411: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
!= ( some_element_ptr_a @ SV411 ) )
= $true )
| ( ( SV136 @ ( SV301 @ SV411 ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3801]) ).
thf(3876,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 = none_element_ptr_a )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3802]) ).
thf(3877,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV412: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
!= ( some_element_ptr_a @ SV412 ) )
= $true )
| ( ( SV136 @ ( SV301 @ SV412 ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3803]) ).
thf(3878,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV404: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
= ( some_element_ptr_a @ SV404 ) )
= $false )
| ( ( SV136 @ ( SV301 @ SV404 ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV136 @ ( SV301 @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3805]) ).
thf(3879,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3806]) ).
thf(3880,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3807]) ).
thf(3881,plain,
! [SV384: list_char,SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( SV138 = nil_char )
= $true )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3808]) ).
thf(3882,plain,
! [SV384: list_char,SV138: list_char,SV329: list_char,SV302: char,SV243: list_char] :
( ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( ~ ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3809]) ).
thf(3883,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3810]) ).
thf(3884,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3810]) ).
thf(3885,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3812]) ).
thf(3886,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3814]) ).
thf(3887,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( bind_S607117548on_j_k @ SV251 @ SV306 ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3815]) ).
thf(3888,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3816]) ).
thf(3889,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3817]) ).
thf(3890,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3818]) ).
thf(3891,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3819]) ).
thf(3892,plain,
! [SV385: list_n282880152tr_b_c,SV150: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c] :
( ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( ~ ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3820]) ).
thf(3893,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3821]) ).
thf(3894,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3822]) ).
thf(3895,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3823]) ).
thf(3896,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3823]) ).
thf(3897,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3824]) ).
thf(3898,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3824]) ).
thf(3899,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
| ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3826]) ).
thf(3900,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3827]) ).
thf(3901,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3828]) ).
thf(3902,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3829]) ).
thf(3903,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3829]) ).
thf(3904,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3830]) ).
thf(3905,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3830]) ).
thf(3906,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
| ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3832]) ).
thf(3907,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3833]) ).
thf(3908,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3834]) ).
thf(3909,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3835]) ).
thf(3910,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3835]) ).
thf(3911,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3836]) ).
thf(3912,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3836]) ).
thf(3913,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
| ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3838]) ).
thf(3914,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV203: option_element_ptr_a] :
( ( ( SV203 = none_element_ptr_a )
= $false )
| ( ( SV87 @ none_S1393028981on_j_k )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3839]) ).
thf(3915,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV413: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
!= ( some_element_ptr_a @ SV413 ) )
= $true )
| ( ( SV87 @ ( SV283 @ SV413 ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3840]) ).
thf(3916,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV405: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
= ( some_element_ptr_a @ SV405 ) )
= $false )
| ( ( SV87 @ ( SV283 @ SV405 ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV87 @ ( SV283 @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3842]) ).
thf(3917,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV406: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
= ( some_element_ptr_a @ SV406 ) )
= $false )
| ( ( SV87 @ ( SV283 @ SV406 ) )
= $true )
| ( ( SV87 @ none_S1393028981on_j_k )
= $false )
| ( ( SV203
= ( some_element_ptr_a @ ( sK170_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3844]) ).
thf(3918,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3846]) ).
thf(3919,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3847]) ).
thf(3920,plain,
! [SV379: list_char,SV322: list_char,SV209: list_char,SV286: list_char,SV95: char] :
( ( ( ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3848]) ).
thf(3921,plain,
! [SV379: list_char,SV322: list_char,SV209: list_char,SV286: list_char,SV95: char] :
( ( ( ! [SY1522: list_char] :
~ ~ ( ( ( cons_char @ SV95 @ SY1522 )
!= SV286 )
| ( SV209
!= ( append_char @ SY1522 @ SV322 ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3849]) ).
thf(3922,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3850]) ).
thf(3923,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3851]) ).
thf(3924,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3852]) ).
thf(3925,plain,
! [SV380: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV287: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ! [SY1523: list_n282880152tr_b_c] :
~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ SY1523 )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ SY1523 @ SV323 ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3853]) ).
thf(3926,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV213: option2026120038on_j_k] :
( ( ( SV213 = none_S1393028981on_j_k )
= $false )
| ( ( SV99 @ none_element_ptr_a )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3854]) ).
thf(3927,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV414: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
!= ( some_S1960742641on_j_k @ SV414 ) )
= $true )
| ( ( SV99 @ ( SV289 @ SV414 ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3855]) ).
thf(3928,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV407: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
= ( some_S1960742641on_j_k @ SV407 ) )
= $false )
| ( ( SV99 @ ( SV289 @ SV407 ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV99 @ ( SV289 @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3857]) ).
thf(3929,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV408: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
= ( some_S1960742641on_j_k @ SV408 ) )
= $false )
| ( ( SV99 @ ( SV289 @ SV408 ) )
= $true )
| ( ( SV99 @ none_element_ptr_a )
= $false )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK174_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3859]) ).
thf(3930,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ( size_size_list_char @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) )
!= ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3861]) ).
thf(3931,plain,
! [SV124: list_char,SV232: list_char,SV296: list_char,SV326: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ( ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ( ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK281_SY1820 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK287_SY1827 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3861]) ).
thf(3932,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3862]) ).
thf(3933,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
= $true )
| ( ( SV298 != SV368 )
= $true )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3864]) ).
thf(3934,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV236: option2026120038on_j_k] :
( ( ( SV236 = none_S1393028981on_j_k )
= $false )
| ( ( SV128 @ none_S1393028981on_j_k )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3865]) ).
thf(3935,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV415: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
!= ( some_S1960742641on_j_k @ SV415 ) )
= $true )
| ( ( SV128 @ ( SV299 @ SV415 ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3866]) ).
thf(3936,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV409: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
= ( some_S1960742641on_j_k @ SV409 ) )
= $false )
| ( ( SV128 @ ( SV299 @ SV409 ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV128 @ ( SV299 @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3868]) ).
thf(3937,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV410: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
= ( some_S1960742641on_j_k @ SV410 ) )
= $false )
| ( ( SV128 @ ( SV299 @ SV410 ) )
= $true )
| ( ( SV128 @ none_S1393028981on_j_k )
= $false )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK182_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3870]) ).
thf(3938,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV242: option_element_ptr_a] :
( ( ( SV242 = none_element_ptr_a )
= $false )
| ( ( SV136 @ none_element_ptr_a )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3872]) ).
thf(3939,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV416: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
!= ( some_element_ptr_a @ SV416 ) )
= $true )
| ( ( SV136 @ ( SV301 @ SV416 ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3873]) ).
thf(3940,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV411: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
= ( some_element_ptr_a @ SV411 ) )
= $false )
| ( ( SV136 @ ( SV301 @ SV411 ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV136 @ ( SV301 @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3875]) ).
thf(3941,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV412: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
= ( some_element_ptr_a @ SV412 ) )
= $false )
| ( ( SV136 @ ( SV301 @ SV412 ) )
= $true )
| ( ( SV136 @ none_element_ptr_a )
= $false )
| ( ( SV242
= ( some_element_ptr_a @ ( sK186_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3877]) ).
thf(3942,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ( SV138
!= ( cons_char @ SV302 @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3879]) ).
thf(3943,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( ( SV138
!= ( cons_char @ SV302 @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3880]) ).
thf(3944,plain,
! [SV384: list_char,SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3881]) ).
thf(3945,plain,
! [SV384: list_char,SV329: list_char,SV243: list_char,SV302: char,SV138: list_char] :
( ( ( ! [SY1551: list_char] :
~ ~ ( ( SV138
!= ( cons_char @ SV302 @ SY1551 ) )
| ( ( append_char @ SY1551 @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3882]) ).
thf(3946,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3883]) ).
thf(3947,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3884]) ).
thf(3948,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3885]) ).
thf(3949,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3885]) ).
thf(3950,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3886]) ).
thf(3951,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3886]) ).
thf(3952,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
| ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3888]) ).
thf(3953,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3889]) ).
thf(3954,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3890]) ).
thf(3955,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3891]) ).
thf(3956,plain,
! [SV385: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV252: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ! [SY1552: list_n282880152tr_b_c] :
~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ SY1552 ) )
| ( ( append846395565tr_b_c @ SY1552 @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3892]) ).
thf(3957,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3893]) ).
thf(3958,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV417: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV193
!= ( some_element_ptr_a @ SV417 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV417 ) ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3894]) ).
thf(3959,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3895]) ).
thf(3960,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3896]) ).
thf(3961,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3897]) ).
thf(3962,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3898]) ).
thf(3963,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3899]) ).
thf(3964,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ~ ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3899]) ).
thf(3965,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3900]) ).
thf(3966,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV418: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV418 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV418 ) ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3901]) ).
thf(3967,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3902]) ).
thf(3968,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3903]) ).
thf(3969,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3904]) ).
thf(3970,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3905]) ).
thf(3971,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3906]) ).
thf(3972,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ~ ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3906]) ).
thf(3973,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3907]) ).
thf(3974,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV419: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV202
!= ( some_element_ptr_a @ SV419 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV419 ) ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3908]) ).
thf(3975,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3909]) ).
thf(3976,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3910]) ).
thf(3977,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3911]) ).
thf(3978,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3912]) ).
thf(3979,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3913]) ).
thf(3980,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ~ ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3913]) ).
thf(3981,plain,
! [SV283: element_ptr_a > option2026120038on_j_k,SV87: option2026120038on_j_k > $o,SV413: element_ptr_a,SV203: option_element_ptr_a] :
( ( ( SV203
= ( some_element_ptr_a @ SV413 ) )
= $false )
| ( ( SV87 @ ( SV283 @ SV413 ) )
= $true )
| ( ( SV203 = none_element_ptr_a )
= $true )
| ( ( SV203
= ( some_element_ptr_a @ ( sK202_SY1404 @ SV283 @ SV87 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3915]) ).
thf(3982,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3918]) ).
thf(3983,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV209: list_char] :
( ( ( SV209
!= ( append_char @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3918]) ).
thf(3984,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3919]) ).
thf(3985,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV209: list_char] :
( ( ( SV209
!= ( append_char @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3919]) ).
thf(3986,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ~ ~ ( ( ( cons_char @ SV95 @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3920]) ).
thf(3987,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ~ ~ ( ( ( cons_char @ SV95 @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3921]) ).
thf(3988,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3922]) ).
thf(3989,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
!= ( append846395565tr_b_c @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3922]) ).
thf(3990,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3923]) ).
thf(3991,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
!= ( append846395565tr_b_c @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3923]) ).
thf(3992,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3924]) ).
thf(3993,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3925]) ).
thf(3994,plain,
! [SV289: sum_su1221287958on_j_k > option_element_ptr_a,SV99: option_element_ptr_a > $o,SV414: sum_su1221287958on_j_k,SV213: option2026120038on_j_k] :
( ( ( SV213
= ( some_S1960742641on_j_k @ SV414 ) )
= $false )
| ( ( SV99 @ ( SV289 @ SV414 ) )
= $true )
| ( ( SV213 = none_S1393028981on_j_k )
= $true )
| ( ( SV213
= ( some_S1960742641on_j_k @ ( sK206_SY1416 @ SV289 @ SV99 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3927]) ).
thf(3995,plain,
! [SV342: list_char > list_char > list_char > list_char > $o,SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char] :
( ( ( ( size_size_list_char @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) )
= ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
= $true )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3930]) ).
thf(3996,plain,
! [SV124: list_char,SV232: list_char,SV296: list_char,SV326: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3931]) ).
thf(3997,plain,
! [SV124: list_char,SV232: list_char,SV296: list_char,SV326: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ( ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
| ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK281_SY1820 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK287_SY1827 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3931]) ).
thf(3998,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3932]) ).
thf(3999,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV235: list_char,SV127: product_unit,SV368: option_element_ptr_a,SV298: option_element_ptr_a] :
( ( ( SV298 != SV368 )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3932]) ).
thf(4000,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( SV127 != SV355 )
= $true )
| ( ( SV235 != SV363 )
= $true )
| ( ( SV298 != SV368 )
= $true )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3933]) ).
thf(4001,plain,
! [SV299: sum_su1221287958on_j_k > option2026120038on_j_k,SV128: option2026120038on_j_k > $o,SV415: sum_su1221287958on_j_k,SV236: option2026120038on_j_k] :
( ( ( SV236
= ( some_S1960742641on_j_k @ SV415 ) )
= $false )
| ( ( SV128 @ ( SV299 @ SV415 ) )
= $true )
| ( ( SV236 = none_S1393028981on_j_k )
= $true )
| ( ( SV236
= ( some_S1960742641on_j_k @ ( sK213_SY1463 @ SV299 @ SV128 @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3935]) ).
thf(4002,plain,
! [SV301: element_ptr_a > option_element_ptr_a,SV136: option_element_ptr_a > $o,SV416: element_ptr_a,SV242: option_element_ptr_a] :
( ( ( SV242
= ( some_element_ptr_a @ SV416 ) )
= $false )
| ( ( SV136 @ ( SV301 @ SV416 ) )
= $true )
| ( ( SV242 = none_element_ptr_a )
= $true )
| ( ( SV242
= ( some_element_ptr_a @ ( sK217_SY1466 @ SV301 @ SV136 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3939]) ).
thf(4003,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
!= ( cons_char @ SV302 @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3942]) ).
thf(4004,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char] :
( ( ( ( append_char @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3942]) ).
thf(4005,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
!= ( cons_char @ SV302 @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3943]) ).
thf(4006,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char] :
( ( ( ( append_char @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3943]) ).
thf(4007,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3944]) ).
thf(4008,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3945]) ).
thf(4009,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3946]) ).
thf(4010,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV420: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV420 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV420 ) ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3947]) ).
thf(4011,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3948]) ).
thf(4012,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3949]) ).
thf(4013,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3950]) ).
thf(4014,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3951]) ).
thf(4015,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3952]) ).
thf(4016,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ~ ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3952]) ).
thf(4017,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3953]) ).
thf(4018,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3953]) ).
thf(4019,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3954]) ).
thf(4020,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3954]) ).
thf(4021,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3955]) ).
thf(4022,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3956]) ).
thf(4023,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3957]) ).
thf(4024,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV417: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193
!= ( some_element_ptr_a @ SV417 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV417 ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3958]) ).
thf(4025,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3959]) ).
thf(4026,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV421: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV193
!= ( some_element_ptr_a @ SV421 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV421 ) ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3960]) ).
thf(4027,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3961]) ).
thf(4028,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV422: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV193
!= ( some_element_ptr_a @ SV422 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV422 ) ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3962]) ).
thf(4029,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ( SV193 != none_element_ptr_a )
| ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3963]) ).
thf(4030,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( ! [SY1379: element_ptr_a] :
~ ~ ( ( SV193
!= ( some_element_ptr_a @ SY1379 ) )
| ~ ~ ( SV73 @ ( SV276 @ SY1379 ) ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3964]) ).
thf(4031,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3965]) ).
thf(4032,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV418: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV418 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV418 ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3966]) ).
thf(4033,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3967]) ).
thf(4034,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV423: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV423 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV423 ) ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3968]) ).
thf(4035,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3969]) ).
thf(4036,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV424: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV424 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV424 ) ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3970]) ).
thf(4037,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ( SV195 != none_S1393028981on_j_k )
| ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3971]) ).
thf(4038,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( ! [SY1380: sum_su1221287958on_j_k] :
~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SY1380 ) )
| ~ ~ ( SV75 @ ( SV277 @ SY1380 ) ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3972]) ).
thf(4039,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3973]) ).
thf(4040,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV419: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202
!= ( some_element_ptr_a @ SV419 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV419 ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3974]) ).
thf(4041,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3975]) ).
thf(4042,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV425: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV202
!= ( some_element_ptr_a @ SV425 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV425 ) ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3976]) ).
thf(4043,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3977]) ).
thf(4044,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV426: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV202
!= ( some_element_ptr_a @ SV426 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV426 ) ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3978]) ).
thf(4045,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ( SV202 != none_element_ptr_a )
| ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3979]) ).
thf(4046,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( ! [SY1403: element_ptr_a] :
~ ~ ( ( SV202
!= ( some_element_ptr_a @ SY1403 ) )
| ~ ~ ( SV86 @ ( SV282 @ SY1403 ) ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3980]) ).
thf(4047,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
= SV286 )
= $true )
| ( ( SV286 = nil_char )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3982]) ).
thf(4048,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV209: list_char] :
( ( ( SV209
= ( append_char @ ( sK283_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $true )
| ( ( SV286 = nil_char )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3983]) ).
thf(4049,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) )
= SV286 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3984]) ).
thf(4050,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV209: list_char] :
( ( ( SV209
= ( append_char @ ( sK284_SY1522 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( SV286 = nil_char )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3985]) ).
thf(4051,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ~ ( ( ( cons_char @ SV95 @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $true )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3986]) ).
thf(4052,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ~ ( ( ( cons_char @ SV95 @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3987]) ).
thf(4053,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
= SV287 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3988]) ).
thf(4054,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
= ( append846395565tr_b_c @ ( sK285_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3989]) ).
thf(4055,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) )
= SV287 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3990]) ).
thf(4056,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
= ( append846395565tr_b_c @ ( sK286_SY1523 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3991]) ).
thf(4057,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3992]) ).
thf(4058,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ~ ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3993]) ).
thf(4059,plain,
! [SV124: list_char,SV232: list_char,SV296: list_char,SV326: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ( size_size_list_char @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
= ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
= $true )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3996]) ).
thf(4060,plain,
! [SV124: list_char,SV232: list_char,SV296: list_char,SV326: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
!= ( size_size_list_char @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3997]) ).
thf(4061,plain,
! [SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
| ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK281_SY1820 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK287_SY1827 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3997]) ).
thf(4062,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) ) )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3998]) ).
thf(4063,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV235: list_char,SV127: product_unit,SV368: option_element_ptr_a,SV298: option_element_ptr_a] :
( ( ( SV298 = SV368 )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3999]) ).
thf(4064,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( SV127 = SV355 )
= $false )
| ( ( SV235 != SV363 )
= $true )
| ( ( SV298 != SV368 )
= $true )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4000]) ).
thf(4065,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
= ( cons_char @ SV302 @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4003]) ).
thf(4066,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char] :
( ( ( ( append_char @ ( sK288_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
= SV329 )
= $true )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4004]) ).
thf(4067,plain,
! [SV243: list_char,SV329: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
= ( cons_char @ SV302 @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $true )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4005]) ).
thf(4068,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char] :
( ( ( ( append_char @ ( sK289_SY1551 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
= SV329 )
= $true )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138 = nil_char )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4006]) ).
thf(4069,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4007]) ).
thf(4070,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( ~ ( ( SV138
!= ( cons_char @ SV302 @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) ) )
= $true )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4008]) ).
thf(4071,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4009]) ).
thf(4072,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV420: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV420 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV420 ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4010]) ).
thf(4073,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4011]) ).
thf(4074,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV427: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV427 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV427 ) ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4012]) ).
thf(4075,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4013]) ).
thf(4076,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV428: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV428 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV428 ) ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4014]) ).
thf(4077,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ( SV251 != none_S1393028981on_j_k )
| ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4015]) ).
thf(4078,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( ! [SY1488: sum_su1221287958on_j_k] :
~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SY1488 ) )
| ~ ~ ( SV149 @ ( SV306 @ SY1488 ) ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4016]) ).
thf(4079,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4017]) ).
thf(4080,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK290_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
= SV330 )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4018]) ).
thf(4081,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $true )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4019]) ).
thf(4082,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK291_SY1552 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
= SV330 )
= $true )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4020]) ).
thf(4083,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4021]) ).
thf(4084,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ~ ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) ) )
= $true )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4022]) ).
thf(4085,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4023]) ).
thf(4086,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV417: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ( SV193
!= ( some_element_ptr_a @ SV417 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV417 ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4024]) ).
thf(4087,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4025]) ).
thf(4088,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV421: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193
!= ( some_element_ptr_a @ SV421 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV421 ) ) ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4026]) ).
thf(4089,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4027]) ).
thf(4090,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV422: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193
!= ( some_element_ptr_a @ SV422 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV422 ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4028]) ).
thf(4091,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4029]) ).
thf(4092,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV429: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV193
!= ( some_element_ptr_a @ SV429 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV429 ) ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4030]) ).
thf(4093,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ none_element_ptr_a ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4031]) ).
thf(4094,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV418: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ( SV195
!= ( some_S1960742641on_j_k @ SV418 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV418 ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4032]) ).
thf(4095,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4033]) ).
thf(4096,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV423: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV423 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV423 ) ) ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4034]) ).
thf(4097,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4035]) ).
thf(4098,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV424: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV424 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV424 ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4036]) ).
thf(4099,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4037]) ).
thf(4100,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV430: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV430 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV430 ) ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4038]) ).
thf(4101,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ none_element_ptr_a ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4039]) ).
thf(4102,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV419: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ( SV202
!= ( some_element_ptr_a @ SV419 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV419 ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4040]) ).
thf(4103,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4041]) ).
thf(4104,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV425: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202
!= ( some_element_ptr_a @ SV425 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV425 ) ) ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4042]) ).
thf(4105,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4043]) ).
thf(4106,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV426: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202
!= ( some_element_ptr_a @ SV426 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV426 ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4044]) ).
thf(4107,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 != none_element_ptr_a )
= $true )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4045]) ).
thf(4108,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV431: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ~ ( ( SV202
!= ( some_element_ptr_a @ SV431 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV431 ) ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4046]) ).
thf(4109,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4051]) ).
thf(4110,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ( ( cons_char @ SV95 @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
| ( SV209
!= ( append_char @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4052]) ).
thf(4111,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4057]) ).
thf(4112,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
| ( SV211
!= ( append846395565tr_b_c @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4058]) ).
thf(4113,plain,
! [SV124: list_char,SV232: list_char,SV296: list_char,SV326: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ( size_size_list_char @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
= ( size_size_list_char @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
= $true )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4060]) ).
thf(4114,plain,
! [SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( ~ ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4061]) ).
thf(4115,plain,
! [SV124: list_char,SV232: list_char,SV296: list_char,SV326: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( SV342 @ ( cons_char @ ( sK248_SY1577 @ SV326 @ SV296 @ SV232 @ SV124 @ SV342 ) @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) ) @ ( cons_char @ ( sK272_SY1803 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK281_SY1820 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) @ ( cons_char @ ( sK287_SY1827 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) ) )
= $false )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4061]) ).
thf(4116,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4062]) ).
thf(4117,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV355: product_unit,SV127: product_unit,SV363: list_char,SV235: list_char] :
( ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 != SV368 )
= $true )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4064]) ).
thf(4118,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( ( SV138
!= ( cons_char @ SV302 @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4069]) ).
thf(4119,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( ( SV138
!= ( cons_char @ SV302 @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
| ( ( append_char @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4070]) ).
thf(4120,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4071]) ).
thf(4121,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV420: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ( SV251
!= ( some_S1960742641on_j_k @ SV420 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV420 ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4072]) ).
thf(4122,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4073]) ).
thf(4123,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV427: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV427 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV427 ) ) ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4074]) ).
thf(4124,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4075]) ).
thf(4125,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV428: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV428 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV428 ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4076]) ).
thf(4126,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 != none_S1393028981on_j_k )
= $true )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4077]) ).
thf(4127,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV432: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV432 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV432 ) ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4078]) ).
thf(4128,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4083]) ).
thf(4129,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
| ( ( append846395565tr_b_c @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4084]) ).
thf(4130,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ none_S1393028981on_j_k )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4085]) ).
thf(4131,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV417: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
!= ( some_element_ptr_a @ SV417 ) )
= $true )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV417 ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4086]) ).
thf(4132,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4087]) ).
thf(4133,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV421: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ( SV193
!= ( some_element_ptr_a @ SV421 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV421 ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4088]) ).
thf(4134,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4089]) ).
thf(4135,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV422: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ( SV193
!= ( some_element_ptr_a @ SV422 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV422 ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4090]) ).
thf(4136,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV193: option_element_ptr_a] :
( ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV73 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4091]) ).
thf(4137,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV429: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ~ ( ( SV193
!= ( some_element_ptr_a @ SV429 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV429 ) ) ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4092]) ).
thf(4138,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ none_element_ptr_a )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4093]) ).
thf(4139,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV418: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
!= ( some_S1960742641on_j_k @ SV418 ) )
= $true )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV418 ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4094]) ).
thf(4140,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ none_element_ptr_a ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4095]) ).
thf(4141,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV423: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ( SV195
!= ( some_S1960742641on_j_k @ SV423 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV423 ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4096]) ).
thf(4142,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ none_element_ptr_a ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4097]) ).
thf(4143,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV424: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ( SV195
!= ( some_S1960742641on_j_k @ SV424 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV424 ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4098]) ).
thf(4144,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV195: option2026120038on_j_k] :
( ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV75 @ none_element_ptr_a ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4099]) ).
thf(4145,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV430: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ~ ( ( SV195
!= ( some_S1960742641on_j_k @ SV430 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV430 ) ) ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4100]) ).
thf(4146,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ none_element_ptr_a )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4101]) ).
thf(4147,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV419: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
!= ( some_element_ptr_a @ SV419 ) )
= $true )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV419 ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4102]) ).
thf(4148,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ none_element_ptr_a ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4103]) ).
thf(4149,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV425: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ( SV202
!= ( some_element_ptr_a @ SV425 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV425 ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4104]) ).
thf(4150,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ none_element_ptr_a ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4105]) ).
thf(4151,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV426: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ( SV202
!= ( some_element_ptr_a @ SV426 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV426 ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4106]) ).
thf(4152,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV202: option_element_ptr_a] :
( ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( ~ ~ ( SV86 @ none_element_ptr_a ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4107]) ).
thf(4153,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV431: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ~ ( ( SV202
!= ( some_element_ptr_a @ SV431 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV431 ) ) ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4108]) ).
thf(4154,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4109]) ).
thf(4155,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV379: list_char,SV209: list_char] :
( ( ( SV209
!= ( append_char @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $false )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4109]) ).
thf(4156,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
!= SV286 )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4110]) ).
thf(4157,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV379: list_char,SV209: list_char] :
( ( ( SV209
!= ( append_char @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $false )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4110]) ).
thf(4158,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4111]) ).
thf(4159,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
!= ( append846395565tr_b_c @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $false )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4111]) ).
thf(4160,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
!= SV287 )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4112]) ).
thf(4161,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
!= ( append846395565tr_b_c @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $false )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4112]) ).
thf(4162,plain,
! [SV326: list_char,SV296: list_char,SV232: list_char,SV124: list_char,SV342: list_char > list_char > list_char > list_char > $o] :
( ( ( SV342 @ ( sK261_SY1784 @ SV124 @ SV232 @ SV296 @ SV326 @ SV342 ) @ ( sK278_SY1814 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK282_SY1824 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) @ ( sK292_SY1829 @ SV342 @ SV326 @ SV296 @ SV232 @ SV124 ) )
= $true )
| ( ( SV342 @ SV124 @ SV232 @ SV296 @ SV326 )
= $true )
| ( ( SV342 @ nil_char @ nil_char @ nil_char @ nil_char )
= $false )
| ( ( ( size_size_list_char @ SV296 )
= ( size_size_list_char @ SV326 ) )
= $false )
| ( ( ( size_size_list_char @ SV232 )
= ( size_size_list_char @ SV296 ) )
= $false )
| ( ( ( size_size_list_char @ SV124 )
= ( size_size_list_char @ SV232 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4114]) ).
thf(4163,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( SV127 != SV355 )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4116]) ).
thf(4164,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV127: product_unit,SV363: list_char,SV235: list_char] :
( ( ( SV235 != SV363 )
= $false )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4116]) ).
thf(4165,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit,SV368: option_element_ptr_a,SV298: option_element_ptr_a] :
( ( ( SV298 = SV368 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV328 != SV372 )
= $true )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4117]) ).
thf(4166,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
!= ( cons_char @ SV302 @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4118]) ).
thf(4167,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char,SV384: list_char] :
( ( ( ( append_char @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 )
= $false )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4118]) ).
thf(4168,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
!= ( cons_char @ SV302 @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4119]) ).
thf(4169,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char,SV384: list_char] :
( ( ( ( append_char @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
!= SV329 )
= $false )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4119]) ).
thf(4170,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ none_S1393028981on_j_k )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4120]) ).
thf(4171,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV420: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
!= ( some_S1960742641on_j_k @ SV420 ) )
= $true )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV420 ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4121]) ).
thf(4172,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4122]) ).
thf(4173,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV427: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ( SV251
!= ( some_S1960742641on_j_k @ SV427 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV427 ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4123]) ).
thf(4174,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4124]) ).
thf(4175,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV428: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ( SV251
!= ( some_S1960742641on_j_k @ SV428 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV428 ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4125]) ).
thf(4176,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV251: option2026120038on_j_k] :
( ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( ~ ~ ( SV149 @ none_S1393028981on_j_k ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4126]) ).
thf(4177,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV432: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ~ ( ( SV251
!= ( some_S1960742641on_j_k @ SV432 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV432 ) ) ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4127]) ).
thf(4178,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4128]) ).
thf(4179,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 )
= $false )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4128]) ).
thf(4180,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
!= ( cons_n413985352tr_b_c @ SV307 @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4129]) ).
thf(4181,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
!= SV330 )
= $false )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4129]) ).
thf(4182,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV417: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
= ( some_element_ptr_a @ SV417 ) )
= $false )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV417 ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4131]) ).
thf(4183,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ none_S1393028981on_j_k )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4132]) ).
thf(4184,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV421: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
!= ( some_element_ptr_a @ SV421 ) )
= $true )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV421 ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4133]) ).
thf(4185,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ none_S1393028981on_j_k )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4134]) ).
thf(4186,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV422: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
!= ( some_element_ptr_a @ SV422 ) )
= $true )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV422 ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4135]) ).
thf(4187,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4136]) ).
thf(4188,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV429: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( ( SV193
!= ( some_element_ptr_a @ SV429 ) )
| ~ ~ ( SV73 @ ( SV276 @ SV429 ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4137]) ).
thf(4189,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV418: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
= ( some_S1960742641on_j_k @ SV418 ) )
= $false )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV418 ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4139]) ).
thf(4190,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ none_element_ptr_a )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4140]) ).
thf(4191,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV423: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
!= ( some_S1960742641on_j_k @ SV423 ) )
= $true )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV423 ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4141]) ).
thf(4192,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ none_element_ptr_a )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4142]) ).
thf(4193,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV424: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
!= ( some_S1960742641on_j_k @ SV424 ) )
= $true )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV424 ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4143]) ).
thf(4194,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ none_element_ptr_a ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4144]) ).
thf(4195,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV430: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( ( SV195
!= ( some_S1960742641on_j_k @ SV430 ) )
| ~ ~ ( SV75 @ ( SV277 @ SV430 ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4145]) ).
thf(4196,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV419: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
= ( some_element_ptr_a @ SV419 ) )
= $false )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV419 ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4147]) ).
thf(4197,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ none_element_ptr_a )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4148]) ).
thf(4198,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV425: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
!= ( some_element_ptr_a @ SV425 ) )
= $true )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV425 ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4149]) ).
thf(4199,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ none_element_ptr_a )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4150]) ).
thf(4200,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV426: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
!= ( some_element_ptr_a @ SV426 ) )
= $true )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV426 ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4151]) ).
thf(4201,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ none_element_ptr_a ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4152]) ).
thf(4202,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV431: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( ( SV202
!= ( some_element_ptr_a @ SV431 ) )
| ~ ~ ( SV86 @ ( SV282 @ SV431 ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4153]) ).
thf(4203,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
= SV286 )
= $true )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4154]) ).
thf(4204,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV379: list_char,SV209: list_char] :
( ( ( SV209
= ( append_char @ ( sK293_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $true )
| ( ( SV286 = nil_char )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4155]) ).
thf(4205,plain,
! [SV286: list_char,SV209: list_char,SV322: list_char,SV379: list_char,SV95: char] :
( ( ( ( cons_char @ SV95 @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) )
= SV286 )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4156]) ).
thf(4206,plain,
! [SV95: char,SV286: list_char,SV322: list_char,SV379: list_char,SV209: list_char] :
( ( ( SV209
= ( append_char @ ( sK294_SY1522 @ SV379 @ SV322 @ SV209 @ SV286 @ SV95 ) @ SV322 ) )
= $true )
| ( ( ( cons_char @ SV95 @ SV209 )
= SV322 )
= $true )
| ( ( ( cons_char @ SV95 @ SV379 )
= SV286 )
= $false )
| ( ( SV209
= ( append_char @ SV379 @ SV322 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4157]) ).
thf(4207,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
= SV287 )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4158]) ).
thf(4208,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
= ( append846395565tr_b_c @ ( sK295_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $true )
| ( ( SV287 = nil_no279930520tr_b_c )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4159]) ).
thf(4209,plain,
! [SV287: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV97: node_p1234578834tr_b_c] :
( ( ( ( cons_n413985352tr_b_c @ SV97 @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) )
= SV287 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4160]) ).
thf(4210,plain,
! [SV97: node_p1234578834tr_b_c,SV287: list_n282880152tr_b_c,SV323: list_n282880152tr_b_c,SV380: list_n282880152tr_b_c,SV211: list_n282880152tr_b_c] :
( ( ( SV211
= ( append846395565tr_b_c @ ( sK296_SY1523 @ SV380 @ SV323 @ SV211 @ SV287 @ SV97 ) @ SV323 ) )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV211 )
= SV323 )
= $true )
| ( ( ( cons_n413985352tr_b_c @ SV97 @ SV380 )
= SV287 )
= $false )
| ( ( SV211
= ( append846395565tr_b_c @ SV380 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4161]) ).
thf(4211,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( SV127 = SV355 )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4163]) ).
thf(4212,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV127: product_unit,SV363: list_char,SV235: list_char] :
( ( ( SV235 = SV363 )
= $true )
| ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4164]) ).
thf(4213,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV355: product_unit,SV127: product_unit,SV363: list_char,SV235: list_char,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c] :
( ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 != SV375 )
= $true )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4165]) ).
thf(4214,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
= ( cons_char @ SV302 @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $true )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4166]) ).
thf(4215,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char,SV384: list_char] :
( ( ( ( append_char @ ( sK297_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
= SV329 )
= $true )
| ( ( SV138 = nil_char )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4167]) ).
thf(4216,plain,
! [SV243: list_char,SV329: list_char,SV384: list_char,SV302: char,SV138: list_char] :
( ( ( SV138
= ( cons_char @ SV302 @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) ) )
= $true )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4168]) ).
thf(4217,plain,
! [SV138: list_char,SV302: char,SV243: list_char,SV329: list_char,SV384: list_char] :
( ( ( ( append_char @ ( sK298_SY1551 @ SV384 @ SV329 @ SV243 @ SV302 @ SV138 ) @ SV243 )
= SV329 )
= $true )
| ( ( SV243
= ( cons_char @ SV302 @ SV329 ) )
= $true )
| ( ( SV138
= ( cons_char @ SV302 @ SV384 ) )
= $false )
| ( ( ( append_char @ SV384 @ SV243 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4169]) ).
thf(4218,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV420: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
= ( some_S1960742641on_j_k @ SV420 ) )
= $false )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV420 ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4171]) ).
thf(4219,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ none_S1393028981on_j_k )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4172]) ).
thf(4220,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV427: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
!= ( some_S1960742641on_j_k @ SV427 ) )
= $true )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV427 ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4173]) ).
thf(4221,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ none_S1393028981on_j_k )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4174]) ).
thf(4222,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV428: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
!= ( some_S1960742641on_j_k @ SV428 ) )
= $true )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV428 ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4175]) ).
thf(4223,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ none_S1393028981on_j_k ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4176]) ).
thf(4224,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV432: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( ( SV251
!= ( some_S1960742641on_j_k @ SV432 ) )
| ~ ~ ( SV149 @ ( SV306 @ SV432 ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4177]) ).
thf(4225,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4178]) ).
thf(4226,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK299_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
= SV330 )
= $true )
| ( ( SV150 = nil_no279930520tr_b_c )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4179]) ).
thf(4227,plain,
! [SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV150: list_n282880152tr_b_c] :
( ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) ) )
= $true )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4180]) ).
thf(4228,plain,
! [SV150: list_n282880152tr_b_c,SV307: node_p1234578834tr_b_c,SV252: list_n282880152tr_b_c,SV330: list_n282880152tr_b_c,SV385: list_n282880152tr_b_c] :
( ( ( ( append846395565tr_b_c @ ( sK300_SY1552 @ SV385 @ SV330 @ SV252 @ SV307 @ SV150 ) @ SV252 )
= SV330 )
= $true )
| ( ( SV252
= ( cons_n413985352tr_b_c @ SV307 @ SV330 ) )
= $true )
| ( ( SV150
= ( cons_n413985352tr_b_c @ SV307 @ SV385 ) )
= $false )
| ( ( ( append846395565tr_b_c @ SV385 @ SV252 )
= SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4181]) ).
thf(4229,plain,
! [SV193: option_element_ptr_a,SV417: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( SV276 @ SV417 ) ) )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ SV417 ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4182]) ).
thf(4230,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV421: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
= ( some_element_ptr_a @ SV421 ) )
= $false )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV421 ) ) )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4184]) ).
thf(4231,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV422: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
= ( some_element_ptr_a @ SV422 ) )
= $false )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV422 ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4186]) ).
thf(4232,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV193: option_element_ptr_a,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ none_S1393028981on_j_k )
= $true )
| ( ( SV193 = none_element_ptr_a )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4187]) ).
thf(4233,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV429: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
!= ( some_element_ptr_a @ SV429 ) )
= $true )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV429 ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4188]) ).
thf(4234,plain,
! [SV195: option2026120038on_j_k,SV418: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( SV277 @ SV418 ) ) )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV418 ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4189]) ).
thf(4235,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV423: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
= ( some_S1960742641on_j_k @ SV423 ) )
= $false )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV423 ) ) )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4191]) ).
thf(4236,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV424: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
= ( some_S1960742641on_j_k @ SV424 ) )
= $false )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV424 ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4193]) ).
thf(4237,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV195: option2026120038on_j_k,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ none_element_ptr_a )
= $true )
| ( ( SV195 = none_S1393028981on_j_k )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4194]) ).
thf(4238,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV430: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
!= ( some_S1960742641on_j_k @ SV430 ) )
= $true )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV430 ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4195]) ).
thf(4239,plain,
! [SV202: option_element_ptr_a,SV419: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( SV282 @ SV419 ) ) )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ SV419 ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4196]) ).
thf(4240,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV425: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
= ( some_element_ptr_a @ SV425 ) )
= $false )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV425 ) ) )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4198]) ).
thf(4241,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV426: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
= ( some_element_ptr_a @ SV426 ) )
= $false )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV426 ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4200]) ).
thf(4242,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV202: option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ none_element_ptr_a )
= $true )
| ( ( SV202 = none_element_ptr_a )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4201]) ).
thf(4243,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV431: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
!= ( some_element_ptr_a @ SV431 ) )
= $true )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV431 ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4202]) ).
thf(4244,plain,
! [SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV375: option2026120038on_j_k,SV343: option2026120038on_j_k] :
( ( ( SV343 = SV375 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( ~ ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4213]) ).
thf(4245,plain,
! [SV251: option2026120038on_j_k,SV420: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( SV306 @ SV420 ) ) )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV420 ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4218]) ).
thf(4246,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV427: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
= ( some_S1960742641on_j_k @ SV427 ) )
= $false )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV427 ) ) )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4220]) ).
thf(4247,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV428: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
= ( some_S1960742641on_j_k @ SV428 ) )
= $false )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV428 ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4222]) ).
thf(4248,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV251: option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ none_S1393028981on_j_k )
= $true )
| ( ( SV251 = none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4223]) ).
thf(4249,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV432: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
!= ( some_S1960742641on_j_k @ SV432 ) )
= $true )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV432 ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4224]) ).
thf(4250,plain,
! [SV193: option_element_ptr_a,SV417: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( SV276 @ SV417 ) )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ SV417 ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4229]) ).
thf(4251,plain,
! [SV193: option_element_ptr_a,SV421: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( SV276 @ SV421 ) ) )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ SV421 ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4230]) ).
thf(4252,plain,
! [SV193: option_element_ptr_a,SV422: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( SV276 @ SV422 ) ) )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ SV422 ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4231]) ).
thf(4253,plain,
! [SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o,SV429: element_ptr_a,SV193: option_element_ptr_a] :
( ( ( SV193
= ( some_element_ptr_a @ SV429 ) )
= $false )
| ( ( ~ ~ ( SV73 @ ( SV276 @ SV429 ) ) )
= $true )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4233]) ).
thf(4254,plain,
! [SV195: option2026120038on_j_k,SV418: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( SV277 @ SV418 ) )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV418 ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4234]) ).
thf(4255,plain,
! [SV195: option2026120038on_j_k,SV423: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( SV277 @ SV423 ) ) )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV423 ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4235]) ).
thf(4256,plain,
! [SV195: option2026120038on_j_k,SV424: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( SV277 @ SV424 ) ) )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV424 ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4236]) ).
thf(4257,plain,
! [SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o,SV430: sum_su1221287958on_j_k,SV195: option2026120038on_j_k] :
( ( ( SV195
= ( some_S1960742641on_j_k @ SV430 ) )
= $false )
| ( ( ~ ~ ( SV75 @ ( SV277 @ SV430 ) ) )
= $true )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4238]) ).
thf(4258,plain,
! [SV202: option_element_ptr_a,SV419: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( SV282 @ SV419 ) )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ SV419 ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4239]) ).
thf(4259,plain,
! [SV202: option_element_ptr_a,SV425: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( SV282 @ SV425 ) ) )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ SV425 ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4240]) ).
thf(4260,plain,
! [SV202: option_element_ptr_a,SV426: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( SV282 @ SV426 ) ) )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ SV426 ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4241]) ).
thf(4261,plain,
! [SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o,SV431: element_ptr_a,SV202: option_element_ptr_a] :
( ( ( SV202
= ( some_element_ptr_a @ SV431 ) )
= $false )
| ( ( ~ ~ ( SV86 @ ( SV282 @ SV431 ) ) )
= $true )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4243]) ).
thf(4262,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4244]) ).
thf(4263,plain,
! [SV251: option2026120038on_j_k,SV420: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( SV306 @ SV420 ) )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV420 ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4245]) ).
thf(4264,plain,
! [SV251: option2026120038on_j_k,SV427: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( SV306 @ SV427 ) ) )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV427 ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4246]) ).
thf(4265,plain,
! [SV251: option2026120038on_j_k,SV428: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( SV306 @ SV428 ) ) )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV428 ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4247]) ).
thf(4266,plain,
! [SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o,SV432: sum_su1221287958on_j_k,SV251: option2026120038on_j_k] :
( ( ( SV251
= ( some_S1960742641on_j_k @ SV432 ) )
= $false )
| ( ( ~ ~ ( SV149 @ ( SV306 @ SV432 ) ) )
= $true )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4249]) ).
thf(4267,plain,
! [SV193: option_element_ptr_a,SV421: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( SV276 @ SV421 ) )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ SV421 ) )
= $false )
| ( ( SV193 = none_element_ptr_a )
= $true )
| ( ( SV73 @ ( SV276 @ ( sK195_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4251]) ).
thf(4268,plain,
! [SV193: option_element_ptr_a,SV422: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( SV276 @ SV422 ) )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ SV422 ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4252]) ).
thf(4269,plain,
! [SV193: option_element_ptr_a,SV429: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( ~ ( SV73 @ ( SV276 @ SV429 ) ) )
= $false )
| ( ( SV193
= ( some_element_ptr_a @ SV429 ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4253]) ).
thf(4270,plain,
! [SV195: option2026120038on_j_k,SV423: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( SV277 @ SV423 ) )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV423 ) )
= $false )
| ( ( SV195 = none_S1393028981on_j_k )
= $true )
| ( ( SV75 @ ( SV277 @ ( sK196_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4255]) ).
thf(4271,plain,
! [SV195: option2026120038on_j_k,SV424: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( SV277 @ SV424 ) )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV424 ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4256]) ).
thf(4272,plain,
! [SV195: option2026120038on_j_k,SV430: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( ~ ( SV75 @ ( SV277 @ SV430 ) ) )
= $false )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV430 ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4257]) ).
thf(4273,plain,
! [SV202: option_element_ptr_a,SV425: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( SV282 @ SV425 ) )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ SV425 ) )
= $false )
| ( ( SV202 = none_element_ptr_a )
= $true )
| ( ( SV86 @ ( SV282 @ ( sK201_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4259]) ).
thf(4274,plain,
! [SV202: option_element_ptr_a,SV426: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( SV282 @ SV426 ) )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ SV426 ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4260]) ).
thf(4275,plain,
! [SV202: option_element_ptr_a,SV431: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( ~ ( SV86 @ ( SV282 @ SV431 ) ) )
= $false )
| ( ( SV202
= ( some_element_ptr_a @ SV431 ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4261]) ).
thf(4276,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
!= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4262]) ).
thf(4277,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4262]) ).
thf(4278,plain,
! [SV251: option2026120038on_j_k,SV427: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( SV306 @ SV427 ) )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV427 ) )
= $false )
| ( ( SV251 = none_S1393028981on_j_k )
= $true )
| ( ( SV149 @ ( SV306 @ ( sK220_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4264]) ).
thf(4279,plain,
! [SV251: option2026120038on_j_k,SV428: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( SV306 @ SV428 ) )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV428 ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4265]) ).
thf(4280,plain,
! [SV251: option2026120038on_j_k,SV432: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( ~ ( SV149 @ ( SV306 @ SV432 ) ) )
= $false )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV432 ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4266]) ).
thf(4281,plain,
! [SV193: option_element_ptr_a,SV429: element_ptr_a,SV276: element_ptr_a > option2026120038on_j_k,SV73: option2026120038on_j_k > $o] :
( ( ( SV73 @ ( SV276 @ SV429 ) )
= $true )
| ( ( SV193
= ( some_element_ptr_a @ SV429 ) )
= $false )
| ( ( SV73 @ none_S1393028981on_j_k )
= $false )
| ( ( SV73 @ ( SV276 @ ( sK223_SY1379 @ SV276 @ SV73 @ SV193 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4269]) ).
thf(4282,plain,
! [SV195: option2026120038on_j_k,SV430: sum_su1221287958on_j_k,SV277: sum_su1221287958on_j_k > option_element_ptr_a,SV75: option_element_ptr_a > $o] :
( ( ( SV75 @ ( SV277 @ SV430 ) )
= $true )
| ( ( SV195
= ( some_S1960742641on_j_k @ SV430 ) )
= $false )
| ( ( SV75 @ none_element_ptr_a )
= $false )
| ( ( SV75 @ ( SV277 @ ( sK224_SY1380 @ SV277 @ SV75 @ SV195 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4272]) ).
thf(4283,plain,
! [SV202: option_element_ptr_a,SV431: element_ptr_a,SV282: element_ptr_a > option_element_ptr_a,SV86: option_element_ptr_a > $o] :
( ( ( SV86 @ ( SV282 @ SV431 ) )
= $true )
| ( ( SV202
= ( some_element_ptr_a @ SV431 ) )
= $false )
| ( ( SV86 @ none_element_ptr_a )
= $false )
| ( ( SV86 @ ( SV282 @ ( sK227_SY1403 @ SV282 @ SV86 @ SV202 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4275]) ).
thf(4284,plain,
! [SV375: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV363: list_char,SV355: product_unit,SV343: option2026120038on_j_k,SV328: list_n282880152tr_b_c,SV298: option_element_ptr_a,SV235: list_char,SV127: product_unit] :
( ( ( ( rDocum427676485on_j_k @ SV127 @ SV235 @ SV298 @ SV328 @ SV343 )
= ( rDocum427676485on_j_k @ SV355 @ SV363 @ SV368 @ SV372 @ SV375 ) )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4276]) ).
thf(4285,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) ) )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4277]) ).
thf(4286,plain,
! [SV251: option2026120038on_j_k,SV432: sum_su1221287958on_j_k,SV306: sum_su1221287958on_j_k > option2026120038on_j_k,SV149: option2026120038on_j_k > $o] :
( ( ( SV149 @ ( SV306 @ SV432 ) )
= $true )
| ( ( SV251
= ( some_S1960742641on_j_k @ SV432 ) )
= $false )
| ( ( SV149 @ none_S1393028981on_j_k )
= $false )
| ( ( SV149 @ ( SV306 @ ( sK238_SY1488 @ SV306 @ SV149 @ SV251 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4280]) ).
thf(4287,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
| ( SV343 != SV375 ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4285]) ).
thf(4288,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4287]) ).
thf(4289,plain,
! [SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV355: product_unit,SV127: product_unit,SV363: list_char,SV235: list_char,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV375: option2026120038on_j_k,SV343: option2026120038on_j_k] :
( ( ( SV343 != SV375 )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4287]) ).
thf(4290,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) ) )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4288]) ).
thf(4291,plain,
! [SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV355: product_unit,SV127: product_unit,SV363: list_char,SV235: list_char,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV375: option2026120038on_j_k,SV343: option2026120038on_j_k] :
( ( ( SV343 = SV375 )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4289]) ).
thf(4292,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
| ( SV328 != SV372 ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4290]) ).
thf(4293,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4292]) ).
thf(4294,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV355: product_unit,SV127: product_unit,SV363: list_char,SV235: list_char,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c] :
( ( ( SV328 != SV372 )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4292]) ).
thf(4295,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) ) )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4293]) ).
thf(4296,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV355: product_unit,SV127: product_unit,SV363: list_char,SV235: list_char,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c] :
( ( ( SV328 = SV372 )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4294]) ).
thf(4297,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
| ( SV298 != SV368 ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4295]) ).
thf(4298,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4297]) ).
thf(4299,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV355: product_unit,SV127: product_unit,SV363: list_char,SV235: list_char,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a] :
( ( ( SV298 != SV368 )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4297]) ).
thf(4300,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ~ ( ( SV127 != SV355 )
| ( SV235 != SV363 ) ) )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4298]) ).
thf(4301,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV355: product_unit,SV127: product_unit,SV363: list_char,SV235: list_char,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV368: option_element_ptr_a,SV298: option_element_ptr_a] :
( ( ( SV298 = SV368 )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4299]) ).
thf(4302,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV363: list_char,SV235: list_char,SV355: product_unit,SV127: product_unit] :
( ( ( ( SV127 != SV355 )
| ( SV235 != SV363 ) )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4300]) ).
thf(4303,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV355: product_unit,SV127: product_unit] :
( ( ( SV127 != SV355 )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4302]) ).
thf(4304,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV355: product_unit,SV127: product_unit,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV363: list_char,SV235: list_char] :
( ( ( SV235 != SV363 )
= $false )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4302]) ).
thf(4305,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV363: list_char,SV235: list_char,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV355: product_unit,SV127: product_unit] :
( ( ( SV127 = SV355 )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4303]) ).
thf(4306,plain,
! [SV375: option2026120038on_j_k,SV343: option2026120038on_j_k,SV368: option_element_ptr_a,SV298: option_element_ptr_a,SV355: product_unit,SV127: product_unit,SV372: list_n282880152tr_b_c,SV328: list_n282880152tr_b_c,SV363: list_char,SV235: list_char] :
( ( ( SV235 = SV363 )
= $true )
| ( ( SV328 = SV372 )
= $false )
| ( ( SV235 = SV363 )
= $false )
| ( ( SV127 = SV355 )
= $false )
| ( ( SV298 = SV368 )
= $false )
| ( ( SV343 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4304]) ).
thf(4307,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[538,4306,4305,4301,4296,4291,4286,4284,4283,4282,4281,4279,4278,4274,4273,4271,4270,4268,4267,4263,4258,4254,4250,4248,4242,4237,4232,4228,4227,4226,4225,4221,4219,4217,4216,4215,4214,4212,4211,4210,4209,4208,4207,4206,4205,4204,4203,4199,4197,4192,4190,4185,4183,4170,4162,4146,4138,4130,4115,4113,4082,4081,4080,4079,4068,4067,4066,4065,4063,4059,4056,4055,4054,4053,4050,4049,4048,4047,4002,4001,3995,3994,3981,3941,3940,3938,3937,3936,3934,3929,3928,3926,3917,3916,3914,3887,3878,3876,3874,3871,3869,3867,3863,3860,3858,3856,3845,3843,3841,3837,3831,3825,3813,3811,3804,3796,3785,3784,3782,3766,3756,3754,3749,3747,3742,3740,3735,3734,3733,3732,3725,3724,3720,3719,3718,3717,3697,3695,3694,3693,3691,3679,3678,3677,3676,3672,3671,3670,3669,3654,3647,3640,3639,3638,3625,3624,3615,3599,3594,3593,3589,3588,3554,3548,3542,3541,3539,3536,3524,3513,3507,3491,3489,3483,3473,3444,3435,3433,3430,3429,3426,3424,3419,3418,3415,3413,3411,3407,3405,3402,3391,3390,3387,3385,3377,3376,3375,3364,3363,3362,3361,3350,3348,3340,3334,3333,3332,3330,3328,3326,3318,3313,3311,3309,3307,3304,3301,3295,3294,3293,3291,3279,3269,3267,3265,3264,3263,3262,3260,3255,3250,3249,3248,3247,3245,3244,3238,3237,3234,3227,3222,3213,3212,3211,3209,3208,3206,3196,3190,3189,3188,3187,3186,3185,3182,3181,3179,3178,3177,3175,3174,3161,3160,3159,3157,3156,3154,3149,3144,3135,3130,3129,3127,3124,3123,3122,3120,3119,3117,3106,3105,3104,3102,3101,3099,3081,3079,3070,3069,3063,3062,3060,3053,3052,3051,3045,3041,3029,3021,3016,3015,3013,3012,3006,3005,3003,2987,2986,2984,2978,2967,2965,2951,2949,2948,2946,2940,2939,2937,2935,2934,2933,2929,2928,2927,2926,2914,2893,2892,2880,2879,2871,2868,2862,2856,2853,2852,2850,2828,2823,2822,2811,2786,2782,2780,2777,2776,2775,2770,2769,2768,2767,2765,2751,2731,2718,2716,2714,2709,2706,2702,2698,2693,2687,2681,2664,2651,2647,2645,2622,2608,2607,2593,2592,2574,2562,2561,2558,2557,2554,2553,2541,2540,2528,2527,2504,2503,2489,2488,2485,2482,2481,2480,2458,2441,2427,2415,2409,2405,2369,2354,2350,2344,2306,2304,2289,2285,2281,2273,2270,2269,2261,2260,2255,2234,2222,2215,2211,2202,2196,2195,2187,2184,2169,2168,2165,2150,2149,2142,2141,2129,2114,2093,2090,2087,2077,2047,2027,2024,2013,1994,1989,1988,1987,1986,1985,1984,1983,1982,1981,1980,1979,1978,1977,1976,1975,1974,1973,1972,1971,1970,1969,1968,1967,1966,1965,1964,1963,1962,1961,1960,1959,1958,1957,1956,1955,1954,1953,1952,1951,1950,1949,1918,1884,1861,1851,1841,1829,1778,1777,1776,1775,1774,1773,1772,1771,1762,1757,1754,1751,1621,1620,1619,1618,1617,1567,1559,1553,1483,1482,1481,1480,1479,1473,1465,1452,1444,1438,1437,1407,1404,1399,1397,1392,1372,1342,1333,1326,1319,1311,1282,1276,1273,1269,1267,1255,1252,1213,1211,1190,1180,1178,1176,1173,1169,1167,1164,1155,1133,1112,1107,1105,1103,1101,1099,1097,1095,1093,1091,1077,1075,1071,1056,1052,1049,1044,1018,1013,1003,988,959,958,957,956,954,946,914,900,892,883,841,836,835,834,833,832,831,830,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,802,801,800,797,796,794,780,779,778,624,623,622,621,541,540,539]) ).
thf(4308,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[4307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP172^1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n005.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 11:18:59 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.29/20.03 ...
% 99.29/20.03
% 99.29/20.03 No.of.Axioms: 165
% 99.29/20.03
% 99.29/20.03 Length.of.Defs: 0
% 99.29/20.03
% 99.29/20.03 Contains.Choice.Funs: false
% 99.29/20.03 .......................................................................................................................................
% 99.29/20.03
% 99.29/20.03 ********************************
% 99.29/20.03 * All subproblems solved! *
% 99.29/20.03 ********************************
% 99.29/20.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:165,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:4307,loop_count:0,foatp_calls:1,translation:fof_full)
% 99.29/20.03
% 99.29/20.03 %**** Beginning of derivation protocol ****
% 99.29/20.03 % SZS output start CNFRefutation
% See solution above
% 99.29/20.07
% 99.29/20.07 %**** End of derivation protocol ****
% 99.29/20.07 %**** no. of clauses in derivation: 4131 ****
% 99.29/20.07 %**** clause counter: 4307 ****
% 99.29/20.07
% 99.29/20.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:165,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:4307,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------