%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP140^1 : 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 : n016.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 10:24:18 AM UTC 2026
% Result : Theorem 3.69s 0.84s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 521 ( 119 unt; 0 typ; 0 def)
% Number of atoms : 4924 (1991 equ; 0 cnn)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 4364 (1102 ~;1344 |; 18 &;1882 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 37 ( 36 usr)
% Number of type conns : 51 ( 51 >; 0 *; 0 +; 0 <<)
% Number of symbols : 167 ( 164 usr; 16 con; 0-3 aty)
% Number of variables : 707 ( 11 ^; 696 !; 0 ?; 707 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_list_char,type,
list_char: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_paraco1604210848lle_fm,type,
paraco1604210848lle_fm: $tType ).
thf(tp_paraco1605129243lle_tv,type,
paraco1605129243lle_tv: $tType ).
thf(tp_produc1250255278lle_fm,type,
produc1250255278lle_fm: $tType ).
thf(tp_produc1281043295at_nat,type,
produc1281043295at_nat: $tType ).
thf(tp_produc1443694919lle_tv,type,
produc1443694919lle_tv: $tType ).
thf(tp_produc1647334210lle_tv,type,
produc1647334210lle_tv: $tType ).
thf(tp_produc1720769084lle_tv,type,
produc1720769084lle_tv: $tType ).
thf(tp_produc1852595672lle_tv,type,
produc1852595672lle_tv: $tType ).
thf(tp_produc194167194tv_nat,type,
produc194167194tv_nat: $tType ).
thf(tp_produc270694976lle_tv,type,
produc270694976lle_tv: $tType ).
thf(tp_produc450659916lle_fm,type,
produc450659916lle_fm: $tType ).
thf(tp_produc596913417at_nat,type,
produc596913417at_nat: $tType ).
thf(tp_produc696645085lle_fm,type,
produc696645085lle_fm: $tType ).
thf(tp_produc931990033lle_tv,type,
produc931990033lle_tv: $tType ).
thf(tp_product_prod_nat_nat,type,
product_prod_nat_nat: $tType ).
thf(tp_set_Pa1764573435lle_tv,type,
set_Pa1764573435lle_tv: $tType ).
thf(tp_set_Pr1019238018lle_fm,type,
set_Pr1019238018lle_fm: $tType ).
thf(tp_set_Pr13445366lle_tv,type,
set_Pr13445366lle_tv: $tType ).
thf(tp_set_Pr1357842111at_nat,type,
set_Pr1357842111at_nat: $tType ).
thf(tp_set_Pr1475944804lle_fm,type,
set_Pr1475944804lle_fm: $tType ).
thf(tp_set_Pr1490359111at_nat,type,
set_Pr1490359111at_nat: $tType ).
thf(tp_set_Pr1723822845lle_tv,type,
set_Pr1723822845lle_tv: $tType ).
thf(tp_set_Pr1725653840tv_nat,type,
set_Pr1725653840tv_nat: $tType ).
thf(tp_set_Pr1943077434tv_nat,type,
set_Pr1943077434tv_nat: $tType ).
thf(tp_set_Pr1986765409at_nat,type,
set_Pr1986765409at_nat: $tType ).
thf(tp_set_Pr2012908090lle_tv,type,
set_Pr2012908090lle_tv: $tType ).
thf(tp_set_Pr2014382200lle_tv,type,
set_Pr2014382200lle_tv: $tType ).
thf(tp_set_Pr2061825550lle_tv,type,
set_Pr2061825550lle_tv: $tType ).
thf(tp_set_Pr2120184979lle_fm,type,
set_Pr2120184979lle_fm: $tType ).
thf(tp_set_Pr292927124lle_tv,type,
set_Pr292927124lle_tv: $tType ).
thf(tp_set_Pr560526279lle_tv,type,
set_Pr560526279lle_tv: $tType ).
thf(tp_set_Pr698334450lle_tv,type,
set_Pr698334450lle_tv: $tType ).
thf(tp_set_Pr840833727at_nat,type,
set_Pr840833727at_nat: $tType ).
thf(tp_set_nat,type,
set_nat: $tType ).
thf(tp_accp_P2085826120lle_tv,type,
accp_P2085826120lle_tv: ( produc931990033lle_tv > produc931990033lle_tv > $o ) > produc931990033lle_tv > $o ).
thf(tp_collec1102043437lle_tv,type,
collec1102043437lle_tv: ( produc1852595672lle_tv > $o ) > set_Pr2061825550lle_tv ).
thf(tp_collec1111687558lle_tv,type,
collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).
thf(tp_collec1624074086lle_tv,type,
collec1624074086lle_tv: ( produc931990033lle_tv > $o ) > set_Pr560526279lle_tv ).
thf(tp_collec7649004at_nat,type,
collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).
thf(tp_collec791369802at_nat,type,
collec791369802at_nat: ( produc1281043295at_nat > $o ) > set_Pr1357842111at_nat ).
thf(tp_collec835549234lle_fm,type,
collec835549234lle_fm: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm ).
thf(tp_collec848462447tv_nat,type,
collec848462447tv_nat: ( produc194167194tv_nat > $o ) > set_Pr1725653840tv_nat ).
thf(tp_collec924990229lle_tv,type,
collec924990229lle_tv: ( produc270694976lle_tv > $o ) > set_Pr13445366lle_tv ).
thf(tp_collect_nat,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(tp_f,type,
f: nat > nat ).
thf(tp_i,type,
i: list_char > paraco1605129243lle_tv ).
thf(tp_if_Par1134130401lle_tv,type,
if_Par1134130401lle_tv: $o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(tp_image_1151963140lle_tv,type,
image_1151963140lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > set_Pa1764573435lle_tv ).
thf(tp_image_1154804148lle_tv,type,
image_1154804148lle_tv: ( produc696645085lle_fm > produc931990033lle_tv ) > set_Pr2120184979lle_fm > set_Pr560526279lle_tv ).
thf(tp_image_1200372424lle_tv,type,
image_1200372424lle_tv: ( produc194167194tv_nat > produc270694976lle_tv ) > set_Pr1725653840tv_nat > set_Pr13445366lle_tv ).
thf(tp_image_1221801032lle_tv,type,
image_1221801032lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > set_Pr2014382200lle_tv ).
thf(tp_image_149830562lle_tv,type,
image_149830562lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > set_Pr13445366lle_tv ).
thf(tp_image_1507992062lle_tv,type,
image_1507992062lle_tv: ( product_prod_nat_nat > produc1647334210lle_tv ) > set_Pr1986765409at_nat > set_Pr2014382200lle_tv ).
thf(tp_image_1585092542lle_fm,type,
image_1585092542lle_fm: ( produc931990033lle_tv > produc696645085lle_fm ) > set_Pr560526279lle_tv > set_Pr2120184979lle_fm ).
thf(tp_image_1597721174tv_nat,type,
image_1597721174tv_nat: ( product_prod_nat_nat > produc194167194tv_nat ) > set_Pr1986765409at_nat > set_Pr1725653840tv_nat ).
thf(tp_image_1674248956lle_tv,type,
image_1674248956lle_tv: ( product_prod_nat_nat > produc270694976lle_tv ) > set_Pr1986765409at_nat > set_Pr13445366lle_tv ).
thf(tp_image_1724396928at_nat,type,
image_1724396928at_nat: ( produc931990033lle_tv > produc596913417at_nat ) > set_Pr560526279lle_tv > set_Pr840833727at_nat ).
thf(tp_image_1751508608lle_tv,type,
image_1751508608lle_tv: ( produc931990033lle_tv > produc931990033lle_tv ) > set_Pr560526279lle_tv > set_Pr560526279lle_tv ).
thf(tp_image_1787705850at_nat,type,
image_1787705850at_nat: ( produc270694976lle_tv > product_prod_nat_nat ) > set_Pr13445366lle_tv > set_Pr1986765409at_nat ).
thf(tp_image_1805124128at_nat,type,
image_1805124128at_nat: ( produc194167194tv_nat > product_prod_nat_nat ) > set_Pr1725653840tv_nat > set_Pr1986765409at_nat ).
thf(tp_image_326034184lle_fm,type,
image_326034184lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm ).
thf(tp_image_335818702lle_tv,type,
image_335818702lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).
thf(tp_image_376325286tv_nat,type,
image_376325286tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > set_nat ).
thf(tp_image_53754658tv_nat,type,
image_53754658tv_nat: ( produc270694976lle_tv > produc194167194tv_nat ) > set_Pr13445366lle_tv > set_Pr1725653840tv_nat ).
thf(tp_image_769496456lle_tv,type,
image_769496456lle_tv: ( produc596913417at_nat > produc931990033lle_tv ) > set_Pr840833727at_nat > set_Pr560526279lle_tv ).
thf(tp_image_807538418lle_fm,type,
image_807538418lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm ).
thf(tp_image_815163717at_nat,type,
image_815163717at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).
thf(tp_image_924970994lle_tv,type,
image_924970994lle_tv: ( produc696645085lle_fm > produc1443694919lle_tv ) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv ).
thf(tp_image_988201162lle_tv,type,
image_988201162lle_tv: ( produc270694976lle_tv > produc1647334210lle_tv ) > set_Pr13445366lle_tv > set_Pr2014382200lle_tv ).
thf(tp_image_nat_nat,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(tp_inj_on1179712058tv_nat,type,
inj_on1179712058tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > $o ).
thf(tp_inj_on1745913142lle_tv,type,
inj_on1745913142lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > $o ).
thf(tp_inj_on1955349912lle_tv,type,
inj_on1955349912lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > $o ).
thf(tp_inj_on2112487900lle_tv,type,
inj_on2112487900lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > $o ).
thf(tp_inj_on26176689at_nat,type,
inj_on26176689at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > $o ).
thf(tp_inj_on552895452tv_nat,type,
inj_on552895452tv_nat: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > $o ).
thf(tp_inj_on772319074lle_tv,type,
inj_on772319074lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > $o ).
thf(tp_inj_on_nat_nat,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(tp_inv_im1292588663lle_tv,type,
inv_im1292588663lle_tv: set_Pr1986765409at_nat > ( paraco1605129243lle_tv > nat ) > set_Pr2014382200lle_tv ).
thf(tp_inv_im516950809tv_nat,type,
inv_im516950809tv_nat: set_Pr2014382200lle_tv > ( nat > paraco1605129243lle_tv ) > set_Pr1986765409at_nat ).
thf(tp_inv_im719552961lle_tv,type,
inv_im719552961lle_tv: set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv ).
thf(tp_inv_image_nat_nat,type,
inv_image_nat_nat: set_Pr1986765409at_nat > ( nat > nat ) > set_Pr1986765409at_nat ).
thf(tp_lex_pr1093414955lle_tv,type,
lex_pr1093414955lle_tv: set_Pr1357842111at_nat > set_Pr2014382200lle_tv > set_Pr698334450lle_tv ).
thf(tp_lex_pr1785529980tv_nat,type,
lex_pr1785529980tv_nat: set_Pr2014382200lle_tv > set_Pr1986765409at_nat > set_Pr1943077434tv_nat ).
thf(tp_lex_pr2001015487lle_fm,type,
lex_pr2001015487lle_fm: set_Pr2061825550lle_tv > set_Pr1019238018lle_fm > set_Pr1475944804lle_fm ).
thf(tp_lex_pr413684186lle_tv,type,
lex_pr413684186lle_tv: set_Pr1986765409at_nat > set_Pr2014382200lle_tv > set_Pr292927124lle_tv ).
thf(tp_lex_pr567812260lle_tv,type,
lex_pr567812260lle_tv: set_Pr2014382200lle_tv > set_Pr2014382200lle_tv > set_Pr2012908090lle_tv ).
thf(tp_lex_prod_nat_nat,type,
lex_prod_nat_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1490359111at_nat ).
thf(tp_member112824072at_nat,type,
member112824072at_nat: produc1281043295at_nat > set_Pr1357842111at_nat > $o ).
thf(tp_member1234290208at_nat,type,
member1234290208at_nat: produc596913417at_nat > set_Pr840833727at_nat > $o ).
thf(tp_member1339857875lle_tv,type,
member1339857875lle_tv: produc1720769084lle_tv > set_Pr698334450lle_tv > $o ).
thf(tp_member146333935lle_tv,type,
member146333935lle_tv: produc1852595672lle_tv > set_Pr2061825550lle_tv > $o ).
thf(tp_member1474794996lle_fm,type,
member1474794996lle_fm: produc696645085lle_fm > set_Pr2120184979lle_fm > $o ).
thf(tp_member1531318361lle_tv,type,
member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o ).
thf(tp_member1569366824lle_tv,type,
member1569366824lle_tv: produc931990033lle_tv > set_Pr560526279lle_tv > $o ).
thf(tp_member1592865093lle_fm,type,
member1592865093lle_fm: produc1250255278lle_fm > set_Pr1475944804lle_fm > $o ).
thf(tp_member266900804lle_tv,type,
member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).
thf(tp_member334644067lle_fm,type,
member334644067lle_fm: produc450659916lle_fm > set_Pr1019238018lle_fm > $o ).
thf(tp_member701585322at_nat,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(tp_member737151281tv_nat,type,
member737151281tv_nat: produc194167194tv_nat > set_Pr1725653840tv_nat > $o ).
thf(tp_member74361182lle_tv,type,
member74361182lle_tv: produc1443694919lle_tv > set_Pr1723822845lle_tv > $o ).
thf(tp_member813679063lle_tv,type,
member813679063lle_tv: produc270694976lle_tv > set_Pr13445366lle_tv > $o ).
thf(tp_member_nat,type,
member_nat: nat > set_nat > $o ).
thf(tp_ord_le1007985907lle_fm,type,
ord_le1007985907lle_fm: set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > $o ).
thf(tp_ord_le1784136743lle_tv,type,
ord_le1784136743lle_tv: set_Pr560526279lle_tv > set_Pr560526279lle_tv > $o ).
thf(tp_ord_le241064091lle_tv,type,
ord_le241064091lle_tv: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o ).
thf(tp_ord_less_eq_set_nat,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(tp_order_769474267at_nat,type,
order_769474267at_nat: ( nat > nat ) > $o ).
thf(tp_p1,type,
p1: paraco1604210848lle_fm ).
thf(tp_p2,type,
p2: paraco1604210848lle_fm ).
thf(tp_paraco1147068288nge_tv,type,
paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(tp_paraco1325918602e_eval,type,
paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
thf(tp_paraco1344940915le_Det,type,
paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
thf(tp_paraco1389086619le_Eql,type,
paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(tp_paraco1480028776le_Pro,type,
paraco1480028776le_Pro: list_char > paraco1604210848lle_fm ).
thf(tp_paraco1632582009tv_rel,type,
paraco1632582009tv_rel: produc931990033lle_tv > produc931990033lle_tv > $o ).
thf(tp_paraco1745535428le_Eql,type,
paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(tp_paraco2051596139lle_tv,type,
paraco2051596139lle_tv: ( $o > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(tp_paraco327635598_valid,type,
paraco327635598_valid: paraco1604210848lle_fm > $o ).
thf(tp_paraco367965286_Truth,type,
paraco367965286_Truth: paraco1604210848lle_fm ).
thf(tp_paraco445776468le_Neg,type,
paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(tp_paraco55203475lid_in,type,
paraco55203475lid_in: set_nat > paraco1604210848lle_fm > $o ).
thf(tp_paraco69239110le_Con,type,
paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(tp_paraco761681009ge_int,type,
paraco761681009ge_int: ( nat > nat ) > ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ).
thf(tp_paraco793048302_Indet,type,
paraco793048302_Indet: nat > paraco1605129243lle_tv ).
thf(tp_produc1000205111lle_fm,type,
produc1000205111lle_fm: produc696645085lle_fm > produc1443694919lle_tv ).
thf(tp_produc109093078at_nat,type,
produc109093078at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).
thf(tp_produc1126104134lle_fm,type,
produc1126104134lle_fm: paraco1604210848lle_fm > paraco1604210848lle_fm > produc450659916lle_fm ).
thf(tp_produc1232814113lle_tv,type,
produc1232814113lle_tv: produc1443694919lle_tv > produc696645085lle_fm ).
thf(tp_produc1250721397at_nat,type,
produc1250721397at_nat: ( nat > paraco1605129243lle_tv ) > ( nat > nat ) > product_prod_nat_nat > produc194167194tv_nat ).
thf(tp_produc1297923922lle_tv,type,
produc1297923922lle_tv: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > produc1852595672lle_tv ).
thf(tp_produc1345917071lle_tv,type,
produc1345917071lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).
thf(tp_produc148705065lle_fm,type,
produc148705065lle_fm: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(tp_produc1566550641lle_tv,type,
produc1566550641lle_tv: ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc696645085lle_fm > produc931990033lle_tv ).
thf(tp_produc1589291287at_nat,type,
produc1589291287at_nat: produc596913417at_nat > paraco1605129243lle_tv ).
thf(tp_produc1633679363at_nat,type,
produc1633679363at_nat: paraco1605129243lle_tv > ( nat > nat ) > produc596913417at_nat ).
thf(tp_produc1636169559lle_tv,type,
produc1636169559lle_tv: produc931990033lle_tv > nat > nat ).
thf(tp_produc1680557635lle_tv,type,
produc1680557635lle_tv: ( nat > nat ) > paraco1605129243lle_tv > produc931990033lle_tv ).
thf(tp_produc1685803475tv_nat,type,
produc1685803475tv_nat: ( nat > nat ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > product_prod_nat_nat ).
thf(tp_produc1710735575lle_fm,type,
produc1710735575lle_fm: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).
thf(tp_produc178635363at_nat,type,
produc178635363at_nat: produc596913417at_nat > produc931990033lle_tv ).
thf(tp_produc1807466521lle_tv,type,
produc1807466521lle_tv: ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(tp_produc189459613tv_nat,type,
produc189459613tv_nat: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > produc194167194tv_nat ).
thf(tp_produc1900967599lle_fm,type,
produc1900967599lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(tp_produc1942165868lle_fm,type,
produc1942165868lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(tp_produc1943344577lle_tv,type,
produc1943344577lle_tv: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc1443694919lle_tv ).
thf(tp_produc1975500101lle_tv,type,
produc1975500101lle_tv: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc1647334210lle_tv ).
thf(tp_produc2057188974lle_tv,type,
produc2057188974lle_tv: produc931990033lle_tv > produc931990033lle_tv > produc1720769084lle_tv ).
thf(tp_produc2058540732lle_tv,type,
produc2058540732lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv ).
thf(tp_produc2101297531lle_tv,type,
produc2101297531lle_tv: ( nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc270694976lle_tv ).
thf(tp_produc210389789lle_tv,type,
produc210389789lle_tv: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc1647334210lle_tv ).
thf(tp_produc225513635lle_tv,type,
produc225513635lle_tv: produc931990033lle_tv > produc596913417at_nat ).
thf(tp_produc234482697lle_tv,type,
produc234482697lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv ).
thf(tp_produc262413013lle_tv,type,
produc262413013lle_tv: produc1443694919lle_tv > paraco1604210848lle_fm ).
thf(tp_produc275353523e_fm_o,type,
produc275353523e_fm_o: ( produc696645085lle_fm > $o ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ).
thf(tp_produc29804011lle_fm,type,
produc29804011lle_fm: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(tp_produc313957681lle_tv,type,
produc313957681lle_tv: ( nat > nat ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc270694976lle_tv ).
thf(tp_produc381314067lle_tv,type,
produc381314067lle_tv: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).
thf(tp_produc386540311at_nat,type,
produc386540311at_nat: ( paraco1605129243lle_tv > nat ) > ( nat > nat ) > produc194167194tv_nat > product_prod_nat_nat ).
thf(tp_produc407632608lle_fm,type,
produc407632608lle_fm: produc696645085lle_fm > produc696645085lle_fm > produc1250255278lle_fm ).
thf(tp_produc42536895at_nat,type,
produc42536895at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( nat > nat ) > produc194167194tv_nat > produc194167194tv_nat ).
thf(tp_produc500618325at_nat,type,
produc500618325at_nat: produc596913417at_nat > nat > nat ).
thf(tp_produc505105722at_nat,type,
produc505105722at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(tp_produc532909085lle_tv,type,
produc532909085lle_tv: ( ( nat > nat ) > nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).
thf(tp_produc547496597lle_tv,type,
produc547496597lle_tv: produc931990033lle_tv > paraco1605129243lle_tv ).
thf(tp_produc72207551lle_tv,type,
produc72207551lle_tv: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > produc194167194tv_nat > produc270694976lle_tv ).
thf(tp_produc752649287e_tv_o,type,
produc752649287e_tv_o: ( produc931990033lle_tv > $o ) > ( nat > nat ) > paraco1605129243lle_tv > $o ).
thf(tp_produc780837143at_nat,type,
produc780837143at_nat: ( nat > nat ) > ( nat > nat ) > produc1281043295at_nat ).
thf(tp_produc939316703lle_tv,type,
produc939316703lle_tv: ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > produc931990033lle_tv ).
thf(tp_produc951033137lle_fm,type,
produc951033137lle_fm: ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > produc931990033lle_tv > produc696645085lle_fm ).
thf(tp_same_f1138187694lle_tv,type,
same_f1138187694lle_tv: ( ( nat > nat ) > $o ) > ( ( nat > nat ) > set_Pr2014382200lle_tv ) > set_Pr698334450lle_tv ).
thf(tp_same_f1581085506lle_fm,type,
same_f1581085506lle_fm: ( ( list_char > paraco1605129243lle_tv ) > $o ) > ( ( list_char > paraco1605129243lle_tv ) > set_Pr1019238018lle_fm ) > set_Pr1475944804lle_fm ).
thf(tp_the_in452116896lle_tv,type,
the_in452116896lle_tv: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(tp_the_inv_into_nat_nat,type,
the_inv_into_nat_nat: set_nat > ( nat > nat ) > nat > nat ).
thf(tp_top_to1057771083lle_tv,type,
top_to1057771083lle_tv: set_Pa1764573435lle_tv ).
thf(tp_top_to1299250770e_tv_o,type,
top_to1299250770e_tv_o: paraco1605129243lle_tv > $o ).
thf(tp_top_to138697918lle_tv,type,
top_to138697918lle_tv: set_Pr2061825550lle_tv ).
thf(tp_top_to1411004326lle_tv,type,
top_to1411004326lle_tv: set_Pr13445366lle_tv ).
thf(tp_top_to1541413903at_nat,type,
top_to1541413903at_nat: set_Pr1357842111at_nat ).
thf(tp_top_to1555900337at_nat,type,
top_to1555900337at_nat: set_Pr1986765409at_nat ).
thf(tp_top_to1871154984lle_tv,type,
top_to1871154984lle_tv: set_Pr2014382200lle_tv ).
thf(tp_top_to1889334367e_tv_o,type,
top_to1889334367e_tv_o: produc270694976lle_tv > $o ).
thf(tp_top_to449985143lle_tv,type,
top_to449985143lle_tv: set_Pr560526279lle_tv ).
thf(tp_top_to632227436_nat_o,type,
top_to632227436_nat_o: product_prod_nat_nat > $o ).
thf(tp_top_to775056195lle_fm,type,
top_to775056195lle_fm: set_Pr2120184979lle_fm ).
thf(tp_top_to900819589_nat_o,type,
top_to900819589_nat_o: produc194167194tv_nat > $o ).
thf(tp_top_to975729152tv_nat,type,
top_to975729152tv_nat: set_Pr1725653840tv_nat ).
thf(tp_top_top_nat_o,type,
top_top_nat_o: nat > $o ).
thf(tp_top_top_o,type,
top_top_o: $o ).
thf(tp_top_top_set_nat,type,
top_top_set_nat: set_nat ).
thf(tp_total_1775715973at_nat,type,
total_1775715973at_nat: set_Pr1986765409at_nat > set_Pr1490359111at_nat > $o ).
thf(tp_total_1781621663lle_tv,type,
total_1781621663lle_tv: set_Pa1764573435lle_tv > set_Pr2014382200lle_tv > $o ).
thf(tp_total_440843542tv_nat,type,
total_440843542tv_nat: set_Pr1725653840tv_nat > set_Pr1943077434tv_nat > $o ).
thf(tp_total_517371324lle_tv,type,
total_517371324lle_tv: set_Pr13445366lle_tv > set_Pr292927124lle_tv > $o ).
thf(tp_total_92239038lle_tv,type,
total_92239038lle_tv: set_Pr2014382200lle_tv > set_Pr2012908090lle_tv > $o ).
thf(tp_total_on_nat,type,
total_on_nat: set_nat > set_Pr1986765409at_nat > $o ).
thf(tp_wf_Par1378404612lle_tv,type,
wf_Par1378404612lle_tv: set_Pr2014382200lle_tv > $o ).
thf(tp_wf_nat,type,
wf_nat: set_Pr1986765409at_nat > $o ).
thf(3,axiom,
! [P3: $o] :
( ( P3 = $true )
| ( P3 = $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T) ).
thf(168,axiom,
! [X1: list_char,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
( ( paraco1480028776le_Pro @ X1 )
!= ( paraco69239110le_Con @ X41 @ X42 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_fm_Odistinct_I5_J) ).
thf(170,axiom,
! [I: list_char > paraco1605129243lle_tv,S3: list_char] :
( ( paraco1325918602e_eval @ I @ ( paraco1480028776le_Pro @ S3 ) )
= ( I @ S3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_eval_Osimps_I1_J) ).
thf(297,axiom,
! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X61: paraco1604210848lle_fm,X62: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ X41 @ X42 )
!= ( paraco1745535428le_Eql @ X61 @ X62 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_fm_Odistinct_I27_J) ).
thf(306,axiom,
! [X3: paraco1604210848lle_fm,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
( ( paraco445776468le_Neg @ X3 )
!= ( paraco69239110le_Con @ X41 @ X42 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_fm_Odistinct_I19_J) ).
thf(307,axiom,
( paraco1325918602e_eval
= ( ^ [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_double__negation) ).
thf(344,axiom,
! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ X41 @ X42 )
!= ( paraco1389086619le_Eql @ X51 @ X52 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_fm_Odistinct_I25_J) ).
thf(345,axiom,
! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
( paraco367965286_Truth
!= ( paraco69239110le_Con @ X41 @ X42 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_fm_Odistinct_I13_J) ).
thf(346,axiom,
! [U: set_nat,P: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
( ( paraco55203475lid_in @ U @ ( paraco69239110le_Con @ P @ Q ) )
= ( ( paraco55203475lid_in @ U @ P )
& ( paraco55203475lid_in @ U @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_conjunction__in) ).
thf(347,axiom,
! [P: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
( ( paraco327635598_valid @ ( paraco69239110le_Con @ P @ Q ) )
= ( ( paraco327635598_valid @ P )
& ( paraco327635598_valid @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_conjunction) ).
thf(352,axiom,
! [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
( ( ( ( paraco1325918602e_eval @ I @ P )
= ( paraco1325918602e_eval @ I @ Q ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1325918602e_eval @ I @ P ) ) )
& ( ( ( paraco1325918602e_eval @ I @ P )
!= ( paraco1325918602e_eval @ I @ Q ) )
=> ( ( ( ( paraco1325918602e_eval @ I @ P )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1325918602e_eval @ I @ Q ) ) )
& ( ( ( paraco1325918602e_eval @ I @ P )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( ( ( paraco1325918602e_eval @ I @ Q )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1325918602e_eval @ I @ P ) ) )
& ( ( ( paraco1325918602e_eval @ I @ Q )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_eval_Osimps_I4_J) ).
thf(354,axiom,
! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,Y41: paraco1604210848lle_fm,Y42: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ X41 @ X42 )
= ( paraco69239110le_Con @ Y41 @ Y42 ) )
= ( ( X41 = Y41 )
& ( X42 = Y42 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_fm_Oinject_I3_J) ).
thf(355,axiom,
( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1325918602e_eval @ i @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_a_H) ).
thf(356,axiom,
( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_a) ).
thf(357,axiom,
( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_a_H_H) ).
thf(358,conjecture,
( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(359,negated_conjecture,
( ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p1 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[358]) ).
thf(360,plain,
( ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p1 ) )
= $false ),
inference(unfold_def,[status(thm)],[359]) ).
thf(361,plain,
( ( ! [P3: $o] :
( ( P3 = $true )
| ( P3 = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(362,plain,
( ( ! [X1: list_char,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
( ( paraco1480028776le_Pro @ X1 )
!= ( paraco69239110le_Con @ X41 @ X42 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(363,plain,
( ( ! [I: list_char > paraco1605129243lle_tv,S3: list_char] :
( ( paraco1325918602e_eval @ I @ ( paraco1480028776le_Pro @ S3 ) )
= ( I @ S3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(364,plain,
( ( ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X61: paraco1604210848lle_fm,X62: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ X41 @ X42 )
!= ( paraco1745535428le_Eql @ X61 @ X62 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(365,plain,
( ( ! [X3: paraco1604210848lle_fm,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
( ( paraco445776468le_Neg @ X3 )
!= ( paraco69239110le_Con @ X41 @ X42 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(366,plain,
( ( paraco1325918602e_eval
= ( ^ [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(367,plain,
( ( ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ X41 @ X42 )
!= ( paraco1389086619le_Eql @ X51 @ X52 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(368,plain,
( ( ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
( paraco367965286_Truth
!= ( paraco69239110le_Con @ X41 @ X42 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(369,plain,
( ( ! [U: set_nat,P: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
( ( paraco55203475lid_in @ U @ ( paraco69239110le_Con @ P @ Q ) )
= ( ( paraco55203475lid_in @ U @ P )
& ( paraco55203475lid_in @ U @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(370,plain,
( ( ! [P: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
( ( paraco327635598_valid @ ( paraco69239110le_Con @ P @ Q ) )
= ( ( paraco327635598_valid @ P )
& ( paraco327635598_valid @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(371,plain,
( ( ! [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
( ( ( ( paraco1325918602e_eval @ I @ P )
= ( paraco1325918602e_eval @ I @ Q ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1325918602e_eval @ I @ P ) ) )
& ( ( ( paraco1325918602e_eval @ I @ P )
!= ( paraco1325918602e_eval @ I @ Q ) )
=> ( ( ( ( paraco1325918602e_eval @ I @ P )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1325918602e_eval @ I @ Q ) ) )
& ( ( ( paraco1325918602e_eval @ I @ P )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( ( ( paraco1325918602e_eval @ I @ Q )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1325918602e_eval @ I @ P ) ) )
& ( ( ( paraco1325918602e_eval @ I @ Q )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(372,plain,
( ( ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,Y41: paraco1604210848lle_fm,Y42: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ X41 @ X42 )
= ( paraco69239110le_Con @ Y41 @ Y42 ) )
= ( ( X41 = Y41 )
& ( X42 = Y42 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(373,plain,
( ( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1325918602e_eval @ i @ p2 ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(374,plain,
( ( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(375,plain,
( ( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1344940915le_Det @ $true ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(376,plain,
( ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
!= ( paraco1325918602e_eval @ i @ p1 ) )
= $true ),
inference(polarity_switch,[status(thm)],[360]) ).
thf(377,plain,
( ( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1344940915le_Det @ $true ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(378,plain,
( ( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(379,plain,
( ( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1325918602e_eval @ i @ p2 ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(380,plain,
( ( ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,Y41: paraco1604210848lle_fm,Y42: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ X41 @ X42 )
= ( paraco69239110le_Con @ Y41 @ Y42 ) )
= ( ( X41 = Y41 )
& ( X42 = Y42 ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(381,plain,
( ( ! [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
( ( ( ( paraco1325918602e_eval @ I @ P )
= ( paraco1325918602e_eval @ I @ Q ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1325918602e_eval @ I @ P ) ) )
& ( ( ( paraco1325918602e_eval @ I @ P )
!= ( paraco1325918602e_eval @ I @ Q ) )
=> ( ( ( ( paraco1325918602e_eval @ I @ P )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1325918602e_eval @ I @ Q ) ) )
& ( ( ( paraco1325918602e_eval @ I @ P )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( ( ( paraco1325918602e_eval @ I @ Q )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1325918602e_eval @ I @ P ) ) )
& ( ( ( paraco1325918602e_eval @ I @ Q )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ I @ ( paraco69239110le_Con @ P @ Q ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(382,plain,
( ( ! [P: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
( ( paraco327635598_valid @ ( paraco69239110le_Con @ P @ Q ) )
= ( ( paraco327635598_valid @ P )
& ( paraco327635598_valid @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(383,plain,
( ( ! [U: set_nat,P: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
( ( paraco55203475lid_in @ U @ ( paraco69239110le_Con @ P @ Q ) )
= ( ( paraco55203475lid_in @ U @ P )
& ( paraco55203475lid_in @ U @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(384,plain,
( ( ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
( paraco367965286_Truth
!= ( paraco69239110le_Con @ X41 @ X42 ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(385,plain,
( ( ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ X41 @ X42 )
!= ( paraco1389086619le_Eql @ X51 @ X52 ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(386,plain,
( ( paraco1325918602e_eval
= ( ^ [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(387,plain,
( ( ! [X3: paraco1604210848lle_fm,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
( ( paraco445776468le_Neg @ X3 )
!= ( paraco69239110le_Con @ X41 @ X42 ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(388,plain,
( ( ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X61: paraco1604210848lle_fm,X62: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ X41 @ X42 )
!= ( paraco1745535428le_Eql @ X61 @ X62 ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(389,plain,
( ( ! [I: list_char > paraco1605129243lle_tv,S3: list_char] :
( ( paraco1325918602e_eval @ I @ ( paraco1480028776le_Pro @ S3 ) )
= ( I @ S3 ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(390,plain,
( ( ! [X1: list_char,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
( ( paraco1480028776le_Pro @ X1 )
!= ( paraco69239110le_Con @ X41 @ X42 ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(391,plain,
( ( ! [P3: $o] :
( ( P3 = $true )
| ( P3 = $false ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(392,plain,
( ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
!= ( paraco1325918602e_eval @ i @ p1 ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(393,plain,
( ( ! [SX0: set_nat,SX1: paraco1604210848lle_fm,SX2: paraco1604210848lle_fm] :
( ( paraco55203475lid_in @ SX0 @ ( paraco69239110le_Con @ SX1 @ SX2 ) )
= ( ~ ( ~ ( paraco55203475lid_in @ SX0 @ SX1 )
| ~ ( paraco55203475lid_in @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(394,plain,
( ( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1325918602e_eval @ i @ p2 ) )
= $true ),
inference(unfold_def,[status(thm)],[379]) ).
thf(395,plain,
( ( ! [SX0: paraco1604210848lle_fm,SX1: paraco1604210848lle_fm] :
( ( paraco327635598_valid @ ( paraco69239110le_Con @ SX0 @ SX1 ) )
= ( ~ ( ~ ( paraco327635598_valid @ SX0 )
| ~ ( paraco327635598_valid @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(396,plain,
( ( ! [SX0: paraco1604210848lle_fm,SX1: paraco1604210848lle_fm,SX2: paraco1604210848lle_fm,SX3: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ SX0 @ SX1 )
= ( paraco69239110le_Con @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(397,plain,
( ( ! [SX0: paraco1604210848lle_fm,SX1: paraco1604210848lle_fm] :
( paraco367965286_Truth
!= ( paraco69239110le_Con @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(398,plain,
( ( ! [SX0: paraco1604210848lle_fm,SX1: paraco1604210848lle_fm,SX2: paraco1604210848lle_fm,SX3: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ SX0 @ SX1 )
!= ( paraco1745535428le_Eql @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(399,plain,
( ( ! [SX0: list_char,SX1: paraco1604210848lle_fm,SX2: paraco1604210848lle_fm] :
( ( paraco1480028776le_Pro @ SX0 )
!= ( paraco69239110le_Con @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(400,plain,
( ( ! [SX0: paraco1604210848lle_fm,SX1: paraco1604210848lle_fm,SX2: paraco1604210848lle_fm] :
( ( paraco445776468le_Neg @ SX0 )
!= ( paraco69239110le_Con @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(401,plain,
( ( ! [SX0: list_char > paraco1605129243lle_tv,SX1: paraco1604210848lle_fm,SX2: paraco1604210848lle_fm] :
~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
!= ( paraco1325918602e_eval @ SX0 @ SX2 ) )
| ( ( paraco1325918602e_eval @ SX0 @ ( paraco69239110le_Con @ SX1 @ SX2 ) )
= ( paraco1325918602e_eval @ SX0 @ SX1 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
!= ( paraco1325918602e_eval @ SX0 @ SX2 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SX0 @ ( paraco69239110le_Con @ SX1 @ SX2 ) )
= ( paraco1325918602e_eval @ SX0 @ SX2 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX1 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX2 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SX0 @ ( paraco69239110le_Con @ SX1 @ SX2 ) )
= ( paraco1325918602e_eval @ SX0 @ SX1 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SX0 @ SX2 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SX0 @ ( paraco69239110le_Con @ SX1 @ SX2 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(402,plain,
( ( ( paraco1325918602e_eval @ i @ p1 )
!= ( paraco1344940915le_Det @ $true ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(403,plain,
( ( ! [SX0: paraco1604210848lle_fm,SX1: paraco1604210848lle_fm,SX2: paraco1604210848lle_fm,SX3: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ SX0 @ SX1 )
!= ( paraco1389086619le_Eql @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(404,plain,
( ( ! [SV1: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ SV1 )
= ( ^ [SY33: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ SV1 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SY33 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[386]) ).
thf(405,plain,
( ( paraco1325918602e_eval
= ( ^ [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P2 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[386]) ).
thf(406,plain,
! [SV2: list_char > paraco1605129243lle_tv] :
( ( ! [SY34: list_char] :
( ( paraco1325918602e_eval @ SV2 @ ( paraco1480028776le_Pro @ SY34 ) )
= ( SV2 @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(407,plain,
! [SV3: $o] :
( ( ( SV3 = $true )
| ( SV3 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[391]) ).
thf(408,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[391]) ).
thf(409,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[391]) ).
thf(410,plain,
( ( ( paraco1325918602e_eval @ i @ ( paraco69239110le_Con @ p1 @ p2 ) )
= ( paraco1325918602e_eval @ i @ p1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(411,plain,
! [SV4: set_nat] :
( ( ! [SY35: paraco1604210848lle_fm,SY36: paraco1604210848lle_fm] :
( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SY35 @ SY36 ) )
= ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ SY35 )
| ~ ( paraco55203475lid_in @ SV4 @ SY36 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(412,plain,
( ( ( paraco1325918602e_eval @ i @ p1 )
= ( paraco1325918602e_eval @ i @ p2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(413,plain,
! [SV5: paraco1604210848lle_fm] :
( ( ! [SY37: paraco1604210848lle_fm] :
( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SY37 ) )
= ( ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SY37 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(414,plain,
! [SV6: paraco1604210848lle_fm] :
( ( ! [SY38: paraco1604210848lle_fm,SY39: paraco1604210848lle_fm,SY40: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ SV6 @ SY38 )
= ( paraco69239110le_Con @ SY39 @ SY40 ) )
= ( ~ ( ( SV6 != SY39 )
| ( SY38 != SY40 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(415,plain,
! [SV7: paraco1604210848lle_fm] :
( ( ! [SY41: paraco1604210848lle_fm] :
( paraco367965286_Truth
!= ( paraco69239110le_Con @ SV7 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(416,plain,
! [SV8: paraco1604210848lle_fm] :
( ( ! [SY42: paraco1604210848lle_fm,SY43: paraco1604210848lle_fm,SY44: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ SV8 @ SY42 )
!= ( paraco1745535428le_Eql @ SY43 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(417,plain,
! [SV9: list_char] :
( ( ! [SY45: paraco1604210848lle_fm,SY46: paraco1604210848lle_fm] :
( ( paraco1480028776le_Pro @ SV9 )
!= ( paraco69239110le_Con @ SY45 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(418,plain,
! [SV10: paraco1604210848lle_fm] :
( ( ! [SY47: paraco1604210848lle_fm,SY48: paraco1604210848lle_fm] :
( ( paraco445776468le_Neg @ SV10 )
!= ( paraco69239110le_Con @ SY47 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(419,plain,
! [SV11: list_char > paraco1605129243lle_tv] :
( ( ! [SY49: paraco1604210848lle_fm,SY50: paraco1604210848lle_fm] :
~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SY49 )
!= ( paraco1325918602e_eval @ SV11 @ SY50 ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SY49 @ SY50 ) )
= ( paraco1325918602e_eval @ SV11 @ SY49 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SY49 )
!= ( paraco1325918602e_eval @ SV11 @ SY50 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SY49 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SY49 @ SY50 ) )
= ( paraco1325918602e_eval @ SV11 @ SY50 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SY49 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SY50 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SY49 @ SY50 ) )
= ( paraco1325918602e_eval @ SV11 @ SY49 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SY50 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SY49 @ SY50 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(420,plain,
( ( ( paraco1325918602e_eval @ i @ p1 )
= ( paraco1344940915le_Det @ $true ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(421,plain,
! [SV12: paraco1604210848lle_fm] :
( ( ! [SY51: paraco1604210848lle_fm,SY52: paraco1604210848lle_fm,SY53: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ SV12 @ SY51 )
!= ( paraco1389086619le_Eql @ SY52 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(422,plain,
! [SV13: list_char > paraco1605129243lle_tv] :
( ( ( paraco1325918602e_eval @ SV13 )
= ( ^ [SY54: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SY54 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(423,plain,
! [SV14: list_char,SV2: list_char > paraco1605129243lle_tv] :
( ( ( paraco1325918602e_eval @ SV2 @ ( paraco1480028776le_Pro @ SV14 ) )
= ( SV2 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(424,plain,
! [SV3: $o] :
( ( ( SV3 = $true )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(425,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(426,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(427,plain,
! [SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ! [SY55: paraco1604210848lle_fm] :
( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SY55 ) )
= ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SY55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(428,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= ( ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(429,plain,
! [SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ! [SY56: paraco1604210848lle_fm,SY57: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SY56 @ SY57 ) )
= ( ~ ( ( SV6 != SY56 )
| ( SV17 != SY57 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(430,plain,
! [SV18: paraco1604210848lle_fm,SV7: paraco1604210848lle_fm] :
( ( paraco367965286_Truth
!= ( paraco69239110le_Con @ SV7 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(431,plain,
! [SV19: paraco1604210848lle_fm,SV8: paraco1604210848lle_fm] :
( ( ! [SY58: paraco1604210848lle_fm,SY59: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ SV8 @ SV19 )
!= ( paraco1745535428le_Eql @ SY58 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(432,plain,
! [SV20: paraco1604210848lle_fm,SV9: list_char] :
( ( ! [SY60: paraco1604210848lle_fm] :
( ( paraco1480028776le_Pro @ SV9 )
!= ( paraco69239110le_Con @ SV20 @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(433,plain,
! [SV21: paraco1604210848lle_fm,SV10: paraco1604210848lle_fm] :
( ( ! [SY61: paraco1604210848lle_fm] :
( ( paraco445776468le_Neg @ SV10 )
!= ( paraco69239110le_Con @ SV21 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(434,plain,
! [SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ! [SY62: paraco1604210848lle_fm] :
~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SY62 ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SY62 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SY62 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SY62 ) )
= ( paraco1325918602e_eval @ SV11 @ SY62 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SY62 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SY62 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SY62 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SY62 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(435,plain,
! [SV23: paraco1604210848lle_fm,SV12: paraco1604210848lle_fm] :
( ( ! [SY63: paraco1604210848lle_fm,SY64: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ SV12 @ SV23 )
!= ( paraco1389086619le_Eql @ SY63 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(436,plain,
! [SV13: list_char > paraco1605129243lle_tv] :
( ( ! [SV24: paraco1604210848lle_fm] :
( ( paraco1325918602e_eval @ SV13 @ SV24 )
= ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[422]) ).
thf(437,plain,
! [SV13: list_char > paraco1605129243lle_tv] :
( ( ( paraco1325918602e_eval @ SV13 )
= ( ^ [SY54: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SY54 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[422]) ).
thf(438,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $true )
| ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(439,plain,
! [SV3: $o] :
( ( ( SV3 = $true )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[424]) ).
thf(440,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[425]) ).
thf(441,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[425]) ).
thf(442,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[426]) ).
thf(443,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[426]) ).
thf(444,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(445,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ~ ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) )
| ~ ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[428]) ).
thf(446,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= ( ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[428]) ).
thf(447,plain,
! [SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ! [SY65: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SY65 ) )
= ( ~ ( ( SV6 != SV26 )
| ( SV17 != SY65 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(448,plain,
! [SV18: paraco1604210848lle_fm,SV7: paraco1604210848lle_fm] :
( ( paraco367965286_Truth
= ( paraco69239110le_Con @ SV7 @ SV18 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(449,plain,
! [SV27: paraco1604210848lle_fm,SV19: paraco1604210848lle_fm,SV8: paraco1604210848lle_fm] :
( ( ! [SY66: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ SV8 @ SV19 )
!= ( paraco1745535428le_Eql @ SV27 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(450,plain,
! [SV28: paraco1604210848lle_fm,SV20: paraco1604210848lle_fm,SV9: list_char] :
( ( ( paraco1480028776le_Pro @ SV9 )
!= ( paraco69239110le_Con @ SV20 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(451,plain,
! [SV29: paraco1604210848lle_fm,SV21: paraco1604210848lle_fm,SV10: paraco1604210848lle_fm] :
( ( ( paraco445776468le_Neg @ SV10 )
!= ( paraco69239110le_Con @ SV21 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(452,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(453,plain,
! [SV31: paraco1604210848lle_fm,SV23: paraco1604210848lle_fm,SV12: paraco1604210848lle_fm] :
( ( ! [SY67: paraco1604210848lle_fm] :
( ( paraco69239110le_Con @ SV12 @ SV23 )
!= ( paraco1389086619le_Eql @ SV31 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(454,plain,
! [SV32: paraco1604210848lle_fm,SV13: list_char > paraco1605129243lle_tv] :
( ( ( paraco1325918602e_eval @ SV13 @ SV32 )
= ( paraco1325918602e_eval @ SV13 @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(455,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $true ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(456,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[439]) ).
thf(457,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[439]) ).
thf(458,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(459,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[441]) ).
thf(460,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[441]) ).
thf(461,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(462,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[443]) ).
thf(463,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[443]) ).
thf(464,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ~ ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) )
| ~ ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(465,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(466,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(467,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= ( ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(468,plain,
! [SV34: paraco1604210848lle_fm,SV27: paraco1604210848lle_fm,SV19: paraco1604210848lle_fm,SV8: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ SV8 @ SV19 )
!= ( paraco1745535428le_Eql @ SV27 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(469,plain,
! [SV28: paraco1604210848lle_fm,SV20: paraco1604210848lle_fm,SV9: list_char] :
( ( ( paraco1480028776le_Pro @ SV9 )
= ( paraco69239110le_Con @ SV20 @ SV28 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(470,plain,
! [SV29: paraco1604210848lle_fm,SV21: paraco1604210848lle_fm,SV10: paraco1604210848lle_fm] :
( ( ( paraco445776468le_Neg @ SV10 )
= ( paraco69239110le_Con @ SV21 @ SV29 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(471,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(472,plain,
! [SV35: paraco1604210848lle_fm,SV31: paraco1604210848lle_fm,SV23: paraco1604210848lle_fm,SV12: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ SV12 @ SV23 )
!= ( paraco1389086619le_Eql @ SV31 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(473,plain,
! [SV3: $o] :
( ( ( SV3
| $true )
= $false )
| ( ( ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(474,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(475,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(476,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(477,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(478,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(479,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(480,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(481,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) )
| ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[467]) ).
thf(482,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= ( ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[467]) ).
thf(483,plain,
! [SV34: paraco1604210848lle_fm,SV27: paraco1604210848lle_fm,SV19: paraco1604210848lle_fm,SV8: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ SV8 @ SV19 )
= ( paraco1745535428le_Eql @ SV27 @ SV34 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(484,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(485,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(486,plain,
! [SV35: paraco1604210848lle_fm,SV31: paraco1604210848lle_fm,SV23: paraco1604210848lle_fm,SV12: paraco1604210848lle_fm] :
( ( ( paraco69239110le_Con @ SV12 @ SV23 )
= ( paraco1389086619le_Eql @ SV31 @ SV35 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(487,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[473]) ).
thf(488,plain,
! [SV3: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV3
| ~ $true ) )
= $true )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[473]) ).
thf(489,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(490,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(491,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(492,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(493,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(494,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(495,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(496,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) )
= $false )
| ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(497,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(498,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(499,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true )
| ( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(500,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(501,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(502,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $true )
= $false )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(503,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(504,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(505,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(506,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(507,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(508,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(509,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(510,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(511,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(512,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(513,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(514,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false )
| ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(515,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) )
= $false )
| ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(516,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) )
= $false )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(517,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(518,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) )
= $false )
| ( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(519,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(520,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(521,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(522,plain,
! [SV3: $o] :
( ( ( ~ $true ) = $false )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(523,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(524,plain,
! [SV3: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(525,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(526,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(527,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(528,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(529,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(530,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(531,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(532,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(533,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(534,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(535,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(536,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(537,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(538,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(539,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(540,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(541,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) ) )
= $false )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(542,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) )
= $false )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(543,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ SV5 ) )
= $true )
| ( ( ~ ( paraco327635598_valid @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(544,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false )
| ( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(545,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) )
= $false )
| ( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(546,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(547,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $false )
| ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(548,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(549,plain,
! [SV3: $o] :
( ( $true = $true )
| ( SV3 = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(550,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(551,plain,
! [SV3: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV3 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(552,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(553,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(554,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(555,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(556,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(557,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(558,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(559,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(560,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(561,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(562,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(563,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(564,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(565,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(566,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(567,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(568,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(569,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(570,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(571,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(572,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(573,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(574,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ SV15 ) )
= $true )
| ( ( ~ ( paraco55203475lid_in @ SV4 @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(575,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $true )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(576,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) )
= $true )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(577,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( ~ ( paraco327635598_valid @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(578,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) )
= $false )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(579,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( SV6 != SV26 )
| ( SV17 != SV33 ) )
= $true )
| ( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(580,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true )
| ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(581,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[548]) ).
thf(582,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[548]) ).
thf(583,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(584,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(585,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(586,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(587,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false )
| ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[551]) ).
thf(588,plain,
! [SV3: $o] :
( ( ( SV3 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[551]) ).
thf(589,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(590,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(591,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(592,plain,
! [SV3: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV3 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(593,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[556]) ).
thf(594,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[556]) ).
thf(595,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(596,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(597,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[558]) ).
thf(598,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[558]) ).
thf(599,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(600,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(601,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(602,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(603,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(604,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(605,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(606,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(607,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(608,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(609,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[566]) ).
thf(610,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[566]) ).
thf(611,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(612,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(613,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(614,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(615,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(616,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(617,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $true )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(618,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) )
= $true )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(619,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( ~ ( paraco55203475lid_in @ SV4 @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(620,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) )
= $false )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(621,plain,
! [SV5: paraco1604210848lle_fm,SV16: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ SV16 )
= $false )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( ~ ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(622,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(623,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) )
= $false )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(624,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( SV6 != SV26 )
= $true )
| ( ( SV17 != SV33 )
= $true )
| ( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(625,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(626,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(627,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(628,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(629,plain,
! [SV3: $o] :
( ( ( ~ ( SV3
| $false ) )
= $true )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(630,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(631,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(632,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(633,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(634,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(635,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(636,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(637,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(638,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(639,plain,
! [SV15: paraco1604210848lle_fm,SV25: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(640,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ SV5 ) )
= $false )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(641,plain,
! [SV5: paraco1604210848lle_fm,SV16: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ SV16 ) )
= $false )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(642,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
| ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) )
= $false )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(643,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $true )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(644,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) )
= $true )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(645,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( SV6 = SV26 )
= $false )
| ( ( SV17 != SV33 )
= $true )
| ( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(646,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(647,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(648,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(649,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(650,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(651,plain,
! [SV3: $o] :
( ( ( SV3
| $false )
= $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(652,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(653,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(654,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(655,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(656,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(657,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(658,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(659,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(660,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ SV15 ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(661,plain,
! [SV15: paraco1604210848lle_fm,SV25: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ SV25 ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(662,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
| ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(663,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ SV5 )
= $true )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(664,plain,
! [SV5: paraco1604210848lle_fm,SV16: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ SV16 )
= $true )
| ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(665,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) ) )
= $false )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(666,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) )
= $false )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(667,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( SV6 != SV26 )
| ( SV17 != SV33 ) )
= $false )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(668,plain,
! [SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm,SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm] :
( ( ( SV17 = SV33 )
= $false )
| ( ( SV6 = SV26 )
= $false )
| ( ( ~ ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(669,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(670,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(671,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(672,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(673,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[649]) ).
thf(674,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[649]) ).
thf(675,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(676,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(677,plain,
! [SV3: $o] :
( ( SV3 = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(678,plain,
! [SV3: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV3
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(679,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(680,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(681,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(682,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(683,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(684,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(685,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(686,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(687,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(688,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(689,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(690,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(691,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(692,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(693,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(694,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(695,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $true )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(696,plain,
! [SV15: paraco1604210848lle_fm,SV25: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $true )
| ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(697,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(698,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(699,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ ( paraco69239110le_Con @ SV5 @ SV16 ) )
= $true )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(700,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) ) )
= $true )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(701,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( SV6 != SV26 )
= $false )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(702,plain,
! [SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm,SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm] :
( ( ( SV17 != SV33 )
= $false )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(703,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
| ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) )
= $false )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(704,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(705,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(706,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(707,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(708,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(709,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(710,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(711,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(712,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(713,plain,
! [SV3: $o] :
( ( ( ~ SV3
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(714,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(715,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(716,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(717,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(718,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(719,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(720,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(721,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(722,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(723,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(724,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(725,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(726,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(727,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(728,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(729,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(730,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ ( paraco69239110le_Con @ SV15 @ SV25 ) )
= $true )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(731,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) ) )
= $true )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(732,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ SV5 )
| ~ ( paraco327635598_valid @ SV16 ) )
= $false )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(733,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( SV6 = SV26 )
= $true )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(734,plain,
! [SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm,SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm] :
( ( ( SV17 = SV33 )
= $true )
| ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(735,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
!= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $false )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[703]) ).
thf(736,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ~ ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) )
= $false )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[703]) ).
thf(737,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(738,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
!= ( paraco1344940915le_Det @ $true ) )
= $false )
| ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(739,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(740,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(741,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(742,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(743,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(744,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(745,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(746,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(747,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(748,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(749,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(750,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(751,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(752,plain,
! [SV3: $o] :
( ( ( ~ $false ) = $false )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(753,plain,
! [SV3: $o] :
( ( ( ~ SV3 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(754,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(755,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(756,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(757,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(758,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(759,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(760,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(761,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(762,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(763,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(764,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(765,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(766,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(767,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(768,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(769,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(770,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(771,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(772,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(773,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(774,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(775,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(776,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(777,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(778,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(779,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(780,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(781,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(782,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(783,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(784,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(785,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(786,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(787,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ SV15 )
| ~ ( paraco55203475lid_in @ SV4 @ SV25 ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(788,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ SV5 ) )
= $false )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(789,plain,
! [SV5: paraco1604210848lle_fm,SV16: paraco1604210848lle_fm] :
( ( ( ~ ( paraco327635598_valid @ SV16 ) )
= $false )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(790,plain,
! [SV33: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( paraco69239110le_Con @ SV6 @ SV17 )
= ( paraco69239110le_Con @ SV26 @ SV33 ) )
= $true )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(791,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ~ ( ( SV6 != SV26 )
| ( SV17 != SV33 ) ) )
= $true )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(792,plain,
! [SV30: paraco1604210848lle_fm,SV22: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(793,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(794,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(795,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(796,plain,
! [SV3: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV3 = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(797,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(798,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(799,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(800,plain,
! [SV3: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV3 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[746]) ).
thf(801,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(802,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(803,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(804,plain,
! [SV3: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV3 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(805,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(806,plain,
! [SV3: $o] :
( ( $false = $true )
| ( SV3 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(807,plain,
! [SV3: $o] :
( ( SV3 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(808,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(809,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(810,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(811,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(812,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(813,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(814,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(815,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(816,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(817,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(818,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(819,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(820,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(821,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[767]) ).
thf(822,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(823,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(824,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(825,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(826,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(827,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(828,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(829,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(830,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(831,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(832,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[778]) ).
thf(833,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(834,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(835,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(836,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(837,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(838,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(839,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(840,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(841,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ SV15 ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(842,plain,
! [SV15: paraco1604210848lle_fm,SV25: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( ~ ( paraco55203475lid_in @ SV4 @ SV25 ) )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(843,plain,
! [SV16: paraco1604210848lle_fm,SV5: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ SV5 )
= $true )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(844,plain,
! [SV5: paraco1604210848lle_fm,SV16: paraco1604210848lle_fm] :
( ( ( paraco327635598_valid @ SV16 )
= $true )
| ( ( paraco327635598_valid @ SV5 )
= $false )
| ( ( paraco327635598_valid @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(845,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( ( SV6 != SV26 )
| ( SV17 != SV33 ) )
= $false )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(846,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
| ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(847,plain,
! [SV25: paraco1604210848lle_fm,SV15: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $true )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(848,plain,
! [SV15: paraco1604210848lle_fm,SV25: paraco1604210848lle_fm,SV4: set_nat] :
( ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $true )
| ( ( paraco55203475lid_in @ SV4 @ SV15 )
= $false )
| ( ( paraco55203475lid_in @ SV4 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(849,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( SV6 != SV26 )
= $false )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[845]) ).
thf(850,plain,
! [SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm,SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm] :
( ( ( SV17 != SV33 )
= $false )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[845]) ).
thf(851,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(852,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(853,plain,
! [SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm,SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm] :
( ( ( SV6 = SV26 )
= $true )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[849]) ).
thf(854,plain,
! [SV26: paraco1604210848lle_fm,SV6: paraco1604210848lle_fm,SV33: paraco1604210848lle_fm,SV17: paraco1604210848lle_fm] :
( ( ( SV17 = SV33 )
= $true )
| ( ( SV6 = SV26 )
= $false )
| ( ( SV17 = SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(855,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(856,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) )
| ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[852]) ).
thf(857,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(858,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ~ ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) ) ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(859,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
= ( paraco1344940915le_Det @ $true ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1325918602e_eval @ SV11 @ SV22 ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(860,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
!= ( paraco1344940915le_Det @ $true ) )
= $false )
| ( ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(861,plain,
! [SV22: paraco1604210848lle_fm,SV30: paraco1604210848lle_fm,SV11: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ SV11 @ SV30 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ ( paraco69239110le_Con @ SV22 @ SV30 ) )
= ( paraco1344940915le_Det @ $false ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1344940915le_Det @ $true ) )
= $true )
| ( ( ( paraco1325918602e_eval @ SV11 @ SV22 )
= ( paraco1325918602e_eval @ SV11 @ SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(862,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[378,861,859,854,853,848,847,844,843,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,790,737,734,733,730,699,696,695,664,663,643,617,616,615,614,613,612,610,608,606,604,603,602,601,600,598,596,594,592,591,590,589,588,586,584,582,575,546,486,483,482,470,469,465,463,460,457,454,448,446,437,423,420,412,410,405]) ).
thf(863,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[862]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP140^1 : 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 : n016.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 11:23:29 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.69/0.84 ..
% 3.69/0.84
% 3.69/0.84 No.of.Axioms: 15
% 3.69/0.84
% 3.69/0.84 Length.of.Defs: 0
% 3.69/0.84
% 3.69/0.84 Contains.Choice.Funs: false
% 3.69/0.84 ...........
% 3.69/0.84
% 3.69/0.84 ********************************
% 3.69/0.84 * All subproblems solved! *
% 3.69/0.84 ********************************
% 3.69/0.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:15,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:862,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.69/0.84
% 3.69/0.84 %**** Beginning of derivation protocol ****
% 3.69/0.84 % SZS output start CNFRefutation
% See solution above
% 3.69/0.85
% 3.69/0.85 %**** End of derivation protocol ****
% 3.69/0.85 %**** no. of clauses in derivation: 521 ****
% 3.69/0.85 %**** clause counter: 862 ****
% 3.69/0.85
% 3.69/0.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:15,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:862,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------