TSTP Solution File: SWW473+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW473+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:07:24 EDT 2023
% Result : Theorem 33.71s 15.95s
% Output : CNFRefutation 33.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 257
% Syntax : Number of formulae : 271 ( 16 unt; 249 typ; 0 def)
% Number of atoms : 32 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 6 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 348 ( 193 >; 155 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 241 ( 241 usr; 56 con; 0-3 aty)
% Number of variables : 24 (; 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_pname > is_fun_pname_bool > is_fun_a_bool > is_fun949378684l_bool > is_fun1661590463l_bool > is_bool > is_a > hBOOL > insert_pname > insert_nat > insert_fun_nat_bool > insert_fun_a_bool > insert_a > insert2003652156l_bool > insert1457093509l_bool > insert1325755072e_bool > insert1117693814l_bool > image_pname_pname > image_pname_nat > image_pname_a > image_nat_pname > image_nat_fun_a_bool > image_nat_a > image_fun_nat_bool_a > image_fun_a_bool_nat > image_fun_a_bool_a > image_a_pname > image_a_nat > image_a_a > image_990671762_pname > image_876012084bool_a > image_573985017bool_a > image_526090948bool_a > image_496248727ol_nat > image_47868345e_bool > image_349102846bool_a > image_26036933t_bool > image_2129980159t_bool > image_2089570637ol_nat > image_1921560913_pname > image_1874789623l_bool > image_1854862208_pname > image_1802975832ol_nat > image_1705983821_pname > image_1655916159e_bool > image_1642285373l_bool > image_1607900221l_bool > image_1604018183_pname > image_1551609309ol_nat > image_1420695166l_bool > image_1283814551_pname > image_1208015684l_bool > image_1154884483l_bool > image_112932426a_bool > image_1079571347ol_nat > hAPP_pname_bool > hAPP_pname_a > hAPP_p61793385e_bool > hAPP_p393069232l_bool > hAPP_p338031245l_bool > hAPP_p1534023578a_bool > hAPP_nat_nat > hAPP_nat_fun_a_bool > hAPP_nat_bool > hAPP_n215258509l_bool > hAPP_n1699378549t_bool > hAPP_n1025906991e_bool > hAPP_n1006566506l_bool > hAPP_fun_a_bool_nat > hAPP_fun_a_bool_bool > hAPP_f98387925ol_nat > hAPP_f937997336l_bool > hAPP_f921600141ol_nat > hAPP_f800510211t_bool > hAPP_f760187903l_bool > hAPP_f759274231e_bool > hAPP_f696928925ol_nat > hAPP_f621171935l_bool > hAPP_f595608956l_bool > hAPP_f559147733l_bool > hAPP_f556039215l_bool > hAPP_f55526627ol_nat > hAPP_f54304608l_bool > hAPP_f510955609l_bool > hAPP_f434788991l_bool > hAPP_f389811538l_bool > hAPP_f292226953l_bool > hAPP_f285962445l_bool > hAPP_f22106695ol_nat > hAPP_f2117159681l_bool > hAPP_f2050579477a_bool > hAPP_f2009550088ol_nat > hAPP_f198738859l_bool > hAPP_f1951378235l_bool > hAPP_f1935102916l_bool > hAPP_f1772781669l_bool > hAPP_f1759205631l_bool > hAPP_f1748468828l_bool > hAPP_f1690079119ol_nat > hAPP_f1664156314l_bool > hAPP_f1637334154l_bool > hAPP_f1631501043l_bool > hAPP_f1476298914l_bool > hAPP_f1434722111l_bool > hAPP_f1363661463l_bool > hAPP_f1295398978l_bool > hAPP_f1253658590ol_nat > hAPP_f1246832597l_bool > hAPP_f1050622307l_bool > hAPP_f103356543l_bool > hAPP_bool_bool > hAPP_b589554111l_bool > hAPP_a_fun_bool_bool > hAPP_a_fun_a_bool > hAPP_a_bool > hAPP_a93125764e_bool > hAPP_a85458249l_bool > fun > cOMBS_nat_bool_bool > cOMBS_a_bool_bool > cOMBS_568398431l_bool > cOMBS_350070575l_bool > cOMBS_1187019125l_bool > cOMBS_1035972772l_bool > cOMBB_bool_bool_nat > cOMBB_bool_bool_a > cOMBB_675860798_pname > cOMBB_647938656_pname > cOMBB_444170502t_bool > cOMBB_338059395a_bool > cOMBB_307249310e_bool > cOMBB_238756964t_bool > cOMBB_2140588453a_bool > cOMBB_2095475776e_bool > cOMBB_1972296269bool_a > cOMBB_1897541054_pname > cOMBB_1015721476ol_nat > #nlpp > undefined_pname > undefined_fun_a_bool > undefined_a > undefi64961550l_bool > undefi17486888e_bool > undefi1699038445l_bool > p > minus_minus_nat > collect_pname > collect_nat > collect_fun_nat_bool > collect_fun_a_bool > collect_a > collec792590109l_bool > collec707592106l_bool > collec1974731493e_bool > collec1874991203l_bool > collec1635217238l_bool > collec1613912337l_bool > collec1015864663l_bool > cOMBC_pname_a_bool > cOMBC_nat_nat_bool > cOMBC_a_a_bool > cOMBC_7971162l_bool > cOMBC_636888218l_bool > cOMBC_595898202l_bool > cOMBC_336095980l_bool > cOMBC_331553030l_bool > cOMBC_226598744l_bool > cOMBC_1988546018l_bool > cOMBC_1880041174l_bool > cOMBC_1732670874l_bool > cOMBC_1693257480l_bool > cOMBC_1355376034l_bool > cOMBC_1284144636l_bool > cOMBC_1269652216l_bool > cOMBC_1245412066l_bool > cOMBC_1149511130e_bool > cOMBC_1058051404l_bool > x_a > u > suc > pname > pn > ord_less_eq_nat > ord_le967226251l_bool > ord_le675606854l_bool > ord_le65145710l_bool > ord_le313189616e_bool > ord_le1568362934t_bool > ord_le1454342156l_bool > ord_le1375671464l_bool > ord_le1375614389l_bool > ord_le1311769555a_bool > na > mgt_call > member_pname > member_nat > member_fun_nat_bool > member_fun_a_bool > member_a > member799430823e_bool > g > finite_finite_pname > finite_finite_nat > finite_finite_a > finite_card_pname > finite_card_nat > finite_card_a > finite786885583l_bool > finite719726885l_bool > finite595471783e_bool > finite347923420a_bool > finite346522414t_bool > finite269641166l_bool > finite2012431853t_bool > finite1701474069l_bool > finite1659325229l_bool > finite1491191519l_bool > finite1381704300l_bool > finite1352710292l_bool > finite1343359508l_bool > finite1340463720e_bool > finite1306199131a_bool > fimplies > fequal_pname > fequal_nat > fequal_fun_nat_bool > fequal_fun_a_bool > fequal_a > fequal533582459e_bool > fdisj > fconj > fNot > bool > #skF_13 > #skF_11 > #skF_6 > #skF_1 > #skF_4 > #skF_14 > #skF_12 > #skF_5 > #skF_10 > #skF_2 > #skF_7 > #skF_9 > #skF_15 > #skF_17 > #skF_3 > #skF_8 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(fconj,type,
fconj: $i ).
tff(hAPP_f559147733l_bool,type,
hAPP_f559147733l_bool: ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff(image_a_pname,type,
image_a_pname: ( $i * $i ) > $i ).
tff(undefi17486888e_bool,type,
undefi17486888e_bool: $i > $i ).
tff(is_a,type,
is_a: $i > $o ).
tff(hAPP_f510955609l_bool,type,
hAPP_f510955609l_bool: ( $i * $i ) > $i ).
tff(image_nat_a,type,
image_nat_a: ( $i * $i ) > $i ).
tff(undefi1699038445l_bool,type,
undefi1699038445l_bool: $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(hAPP_f1476298914l_bool,type,
hAPP_f1476298914l_bool: ( $i * $i ) > $i ).
tff(hAPP_f292226953l_bool,type,
hAPP_f292226953l_bool: ( $i * $i ) > $i ).
tff(ord_le675606854l_bool,type,
ord_le675606854l_bool: $i ).
tff(cOMBB_bool_bool_a,type,
cOMBB_bool_bool_a: ( $i * $i ) > $i ).
tff(hAPP_bool_bool,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(hAPP_fun_a_bool_nat,type,
hAPP_fun_a_bool_nat: ( $i * $i ) > $i ).
tff(cOMBS_nat_bool_bool,type,
cOMBS_nat_bool_bool: ( $i * $i ) > $i ).
tff(ord_le1454342156l_bool,type,
ord_le1454342156l_bool: $i ).
tff(image_fun_nat_bool_a,type,
image_fun_nat_bool_a: ( $i * $i ) > $i ).
tff(hAPP_f1246832597l_bool,type,
hAPP_f1246832597l_bool: ( $i * $i ) > $i ).
tff(image_1607900221l_bool,type,
image_1607900221l_bool: ( $i * $i ) > $i ).
tff(hAPP_f103356543l_bool,type,
hAPP_f103356543l_bool: ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(cOMBC_331553030l_bool,type,
cOMBC_331553030l_bool: $i > $i ).
tff(suc,type,
suc: $i ).
tff(fequal_fun_nat_bool,type,
fequal_fun_nat_bool: $i ).
tff(cOMBB_238756964t_bool,type,
cOMBB_238756964t_bool: ( $i * $i ) > $i ).
tff(cOMBB_307249310e_bool,type,
cOMBB_307249310e_bool: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(hAPP_f1748468828l_bool,type,
hAPP_f1748468828l_bool: ( $i * $i ) > $i ).
tff(image_876012084bool_a,type,
image_876012084bool_a: ( $i * $i ) > $i ).
tff(cOMBC_1269652216l_bool,type,
cOMBC_1269652216l_bool: $i > $i ).
tff(hAPP_n1006566506l_bool,type,
hAPP_n1006566506l_bool: ( $i * $i ) > $i ).
tff(collec707592106l_bool,type,
collec707592106l_bool: $i > $i ).
tff(cOMBB_1972296269bool_a,type,
cOMBB_1972296269bool_a: ( $i * $i ) > $i ).
tff(hAPP_nat_bool,type,
hAPP_nat_bool: ( $i * $i ) > $i ).
tff(cOMBB_bool_bool_nat,type,
cOMBB_bool_bool_nat: ( $i * $i ) > $i ).
tff(cOMBC_1149511130e_bool,type,
cOMBC_1149511130e_bool: $i > $i ).
tff(image_2129980159t_bool,type,
image_2129980159t_bool: ( $i * $i ) > $i ).
tff(hAPP_f937997336l_bool,type,
hAPP_f937997336l_bool: ( $i * $i ) > $i ).
tff(finite346522414t_bool,type,
finite346522414t_bool: $i ).
tff(hAPP_f2050579477a_bool,type,
hAPP_f2050579477a_bool: ( $i * $i ) > $i ).
tff(hAPP_f1637334154l_bool,type,
hAPP_f1637334154l_bool: ( $i * $i ) > $i ).
tff(cOMBC_a_a_bool,type,
cOMBC_a_a_bool: $i > $i ).
tff(finite595471783e_bool,type,
finite595471783e_bool: $i ).
tff(image_fun_a_bool_nat,type,
image_fun_a_bool_nat: ( $i * $i ) > $i ).
tff(hAPP_f1935102916l_bool,type,
hAPP_f1935102916l_bool: ( $i * $i ) > $i ).
tff(member_fun_a_bool,type,
member_fun_a_bool: $i ).
tff(hAPP_f1772781669l_bool,type,
hAPP_f1772781669l_bool: ( $i * $i ) > $i ).
tff(hAPP_f285962445l_bool,type,
hAPP_f285962445l_bool: ( $i * $i ) > $i ).
tff(is_bool,type,
is_bool: $i > $o ).
tff(hAPP_f54304608l_bool,type,
hAPP_f54304608l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1690079119ol_nat,type,
hAPP_f1690079119ol_nat: ( $i * $i ) > $i ).
tff(image_1079571347ol_nat,type,
image_1079571347ol_nat: ( $i * $i ) > $i ).
tff(image_2089570637ol_nat,type,
image_2089570637ol_nat: ( $i * $i ) > $i ).
tff(hAPP_f800510211t_bool,type,
hAPP_f800510211t_bool: ( $i * $i ) > $i ).
tff(cOMBB_1015721476ol_nat,type,
cOMBB_1015721476ol_nat: ( $i * $i ) > $i ).
tff(collec792590109l_bool,type,
collec792590109l_bool: $i > $i ).
tff(undefi64961550l_bool,type,
undefi64961550l_bool: $i > $i ).
tff(finite1306199131a_bool,type,
finite1306199131a_bool: $i ).
tff(finite1381704300l_bool,type,
finite1381704300l_bool: $i ).
tff(insert_fun_a_bool,type,
insert_fun_a_bool: ( $i * $i ) > $i ).
tff(cOMBC_1058051404l_bool,type,
cOMBC_1058051404l_bool: $i > $i ).
tff(cOMBC_1732670874l_bool,type,
cOMBC_1732670874l_bool: $i > $i ).
tff(ord_le1311769555a_bool,type,
ord_le1311769555a_bool: $i ).
tff(hAPP_a_fun_a_bool,type,
hAPP_a_fun_a_bool: ( $i * $i ) > $i ).
tff(fimplies,type,
fimplies: $i ).
tff(finite_card_pname,type,
finite_card_pname: $i ).
tff(image_pname_nat,type,
image_pname_nat: ( $i * $i ) > $i ).
tff(fequal_nat,type,
fequal_nat: $i ).
tff(cOMBC_1693257480l_bool,type,
cOMBC_1693257480l_bool: $i > $i ).
tff(cOMBB_444170502t_bool,type,
cOMBB_444170502t_bool: ( $i * $i ) > $i ).
tff(image_526090948bool_a,type,
image_526090948bool_a: ( $i * $i ) > $i ).
tff(insert_pname,type,
insert_pname: ( $i * $i ) > $i ).
tff(cOMBB_647938656_pname,type,
cOMBB_647938656_pname: ( $i * $i ) > $i ).
tff(image_nat_fun_a_bool,type,
image_nat_fun_a_bool: ( $i * $i ) > $i ).
tff(cOMBB_675860798_pname,type,
cOMBB_675860798_pname: ( $i * $i ) > $i ).
tff(cOMBS_a_bool_bool,type,
cOMBS_a_bool_bool: ( $i * $i ) > $i ).
tff(hAPP_f556039215l_bool,type,
hAPP_f556039215l_bool: ( $i * $i ) > $i ).
tff(fNot,type,
fNot: $i ).
tff(minus_minus_nat,type,
minus_minus_nat: $i > $i ).
tff(is_fun1661590463l_bool,type,
is_fun1661590463l_bool: $i > $o ).
tff(finite719726885l_bool,type,
finite719726885l_bool: $i ).
tff(finite1340463720e_bool,type,
finite1340463720e_bool: $i ).
tff(u,type,
u: $i ).
tff(cOMBC_336095980l_bool,type,
cOMBC_336095980l_bool: $i > $i ).
tff(bool,type,
bool: $i ).
tff(image_1604018183_pname,type,
image_1604018183_pname: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(image_1551609309ol_nat,type,
image_1551609309ol_nat: ( $i * $i ) > $i ).
tff(undefined_pname,type,
undefined_pname: $i > $i ).
tff(undefined_fun_a_bool,type,
undefined_fun_a_bool: $i > $i ).
tff(hAPP_pname_bool,type,
hAPP_pname_bool: ( $i * $i ) > $i ).
tff(cOMBC_1284144636l_bool,type,
cOMBC_1284144636l_bool: $i > $i ).
tff(hAPP_p61793385e_bool,type,
hAPP_p61793385e_bool: ( $i * $i ) > $i ).
tff(image_pname_pname,type,
image_pname_pname: ( $i * $i ) > $i ).
tff(insert1325755072e_bool,type,
insert1325755072e_bool: ( $i * $i ) > $i ).
tff(collect_pname,type,
collect_pname: $i > $i ).
tff(finite_card_a,type,
finite_card_a: $i ).
tff(image_a_nat,type,
image_a_nat: ( $i * $i ) > $i ).
tff(hAPP_f1434722111l_bool,type,
hAPP_f1434722111l_bool: ( $i * $i ) > $i ).
tff(hAPP_p1534023578a_bool,type,
hAPP_p1534023578a_bool: ( $i * $i ) > $i ).
tff(image_1802975832ol_nat,type,
image_1802975832ol_nat: ( $i * $i ) > $i ).
tff(hAPP_a85458249l_bool,type,
hAPP_a85458249l_bool: ( $i * $i ) > $i ).
tff(image_1874789623l_bool,type,
image_1874789623l_bool: ( $i * $i ) > $i ).
tff(hAPP_f98387925ol_nat,type,
hAPP_f98387925ol_nat: ( $i * $i ) > $i ).
tff(cOMBS_350070575l_bool,type,
cOMBS_350070575l_bool: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(insert1117693814l_bool,type,
insert1117693814l_bool: ( $i * $i ) > $i ).
tff(hAPP_f55526627ol_nat,type,
hAPP_f55526627ol_nat: ( $i * $i ) > $i ).
tff(hAPP_nat_nat,type,
hAPP_nat_nat: ( $i * $i ) > $i ).
tff(image_112932426a_bool,type,
image_112932426a_bool: ( $i * $i ) > $i ).
tff(fun,type,
fun: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(cOMBC_595898202l_bool,type,
cOMBC_595898202l_bool: $i > $i ).
tff(ord_le967226251l_bool,type,
ord_le967226251l_bool: $i ).
tff(collect_a,type,
collect_a: $i > $i ).
tff(finite1343359508l_bool,type,
finite1343359508l_bool: $i ).
tff(hAPP_f1631501043l_bool,type,
hAPP_f1631501043l_bool: ( $i * $i ) > $i ).
tff(image_1921560913_pname,type,
image_1921560913_pname: ( $i * $i ) > $i ).
tff(collec1613912337l_bool,type,
collec1613912337l_bool: $i > $i ).
tff(is_fun_pname_bool,type,
is_fun_pname_bool: $i > $o ).
tff(ord_le65145710l_bool,type,
ord_le65145710l_bool: $i ).
tff(finite1491191519l_bool,type,
finite1491191519l_bool: $i ).
tff(hAPP_pname_a,type,
hAPP_pname_a: ( $i * $i ) > $i ).
tff(is_pname,type,
is_pname: $i > $o ).
tff(fequal_fun_a_bool,type,
fequal_fun_a_bool: $i ).
tff(member_pname,type,
member_pname: $i ).
tff(hAPP_p393069232l_bool,type,
hAPP_p393069232l_bool: ( $i * $i ) > $i ).
tff(ord_less_eq_nat,type,
ord_less_eq_nat: $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff(hAPP_f1295398978l_bool,type,
hAPP_f1295398978l_bool: ( $i * $i ) > $i ).
tff(ord_le1375671464l_bool,type,
ord_le1375671464l_bool: $i ).
tff(hAPP_f2117159681l_bool,type,
hAPP_f2117159681l_bool: ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff(hAPP_f759274231e_bool,type,
hAPP_f759274231e_bool: ( $i * $i ) > $i ).
tff(cOMBC_1355376034l_bool,type,
cOMBC_1355376034l_bool: $i > $i ).
tff(ord_le1568362934t_bool,type,
ord_le1568362934t_bool: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(fequal_a,type,
fequal_a: $i ).
tff(image_nat_pname,type,
image_nat_pname: ( $i * $i ) > $i ).
tff(finite786885583l_bool,type,
finite786885583l_bool: $i ).
tff(finite1352710292l_bool,type,
finite1352710292l_bool: $i ).
tff(cOMBC_1988546018l_bool,type,
cOMBC_1988546018l_bool: $i > $i ).
tff(image_349102846bool_a,type,
image_349102846bool_a: ( $i * $i ) > $i ).
tff(cOMBS_1187019125l_bool,type,
cOMBS_1187019125l_bool: ( $i * $i ) > $i ).
tff(finite1659325229l_bool,type,
finite1659325229l_bool: $i ).
tff(finite2012431853t_bool,type,
finite2012431853t_bool: $i ).
tff(hAPP_f696928925ol_nat,type,
hAPP_f696928925ol_nat: ( $i * $i ) > $i ).
tff(is_fun949378684l_bool,type,
is_fun949378684l_bool: $i > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(hAPP_f1664156314l_bool,type,
hAPP_f1664156314l_bool: ( $i * $i ) > $i ).
tff(pn,type,
pn: $i ).
tff(hAPP_f595608956l_bool,type,
hAPP_f595608956l_bool: ( $i * $i ) > $i ).
tff(fdisj,type,
fdisj: $i ).
tff(p,type,
p: $i > $i ).
tff(image_pname_a,type,
image_pname_a: ( $i * $i ) > $i ).
tff(insert2003652156l_bool,type,
insert2003652156l_bool: ( $i * $i ) > $i ).
tff(cOMBC_1880041174l_bool,type,
cOMBC_1880041174l_bool: $i > $i ).
tff(finite269641166l_bool,type,
finite269641166l_bool: $i ).
tff(image_496248727ol_nat,type,
image_496248727ol_nat: ( $i * $i ) > $i ).
tff(insert1457093509l_bool,type,
insert1457093509l_bool: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff(image_1283814551_pname,type,
image_1283814551_pname: ( $i * $i ) > $i ).
tff(image_fun_a_bool_a,type,
image_fun_a_bool_a: ( $i * $i ) > $i ).
tff(image_1655916159e_bool,type,
image_1655916159e_bool: ( $i * $i ) > $i ).
tff(undefined_a,type,
undefined_a: $i > $i ).
tff(hAPP_n215258509l_bool,type,
hAPP_n215258509l_bool: ( $i * $i ) > $i ).
tff(g,type,
g: $i ).
tff(mgt_call,type,
mgt_call: $i ).
tff(image_1705983821_pname,type,
image_1705983821_pname: ( $i * $i ) > $i ).
tff(cOMBS_1035972772l_bool,type,
cOMBS_1035972772l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1759205631l_bool,type,
hAPP_f1759205631l_bool: ( $i * $i ) > $i ).
tff(hAPP_f22106695ol_nat,type,
hAPP_f22106695ol_nat: ( $i * $i ) > $i ).
tff(fequal_pname,type,
fequal_pname: $i ).
tff(hAPP_f2009550088ol_nat,type,
hAPP_f2009550088ol_nat: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff(hAPP_a_fun_bool_bool,type,
hAPP_a_fun_bool_bool: ( $i * $i ) > $i ).
tff(member_nat,type,
member_nat: $i ).
tff(finite_finite_nat,type,
finite_finite_nat: $i ).
tff(hAPP_a93125764e_bool,type,
hAPP_a93125764e_bool: ( $i * $i ) > $i ).
tff(ord_le313189616e_bool,type,
ord_le313189616e_bool: $i ).
tff(pname,type,
pname: $i ).
tff(cOMBC_nat_nat_bool,type,
cOMBC_nat_nat_bool: $i > $i ).
tff(finite347923420a_bool,type,
finite347923420a_bool: $i ).
tff(hAPP_nat_fun_a_bool,type,
hAPP_nat_fun_a_bool: ( $i * $i ) > $i ).
tff(x_a,type,
x_a: $i ).
tff(na,type,
na: $i ).
tff(cOMBS_568398431l_bool,type,
cOMBS_568398431l_bool: ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(insert_fun_nat_bool,type,
insert_fun_nat_bool: ( $i * $i ) > $i ).
tff(hAPP_n1025906991e_bool,type,
hAPP_n1025906991e_bool: ( $i * $i ) > $i ).
tff(hAPP_n1699378549t_bool,type,
hAPP_n1699378549t_bool: ( $i * $i ) > $i ).
tff(member_a,type,
member_a: $i ).
tff(cOMBB_1897541054_pname,type,
cOMBB_1897541054_pname: ( $i * $i ) > $i ).
tff(hAPP_f1363661463l_bool,type,
hAPP_f1363661463l_bool: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(member_fun_nat_bool,type,
member_fun_nat_bool: $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(cOMBB_2140588453a_bool,type,
cOMBB_2140588453a_bool: ( $i * $i ) > $i ).
tff(fequal533582459e_bool,type,
fequal533582459e_bool: $i ).
tff(hAPP_p338031245l_bool,type,
hAPP_p338031245l_bool: ( $i * $i ) > $i ).
tff(finite1701474069l_bool,type,
finite1701474069l_bool: $i ).
tff(image_26036933t_bool,type,
image_26036933t_bool: ( $i * $i ) > $i ).
tff(collec1974731493e_bool,type,
collec1974731493e_bool: $i > $i ).
tff(cOMBC_636888218l_bool,type,
cOMBC_636888218l_bool: $i > $i ).
tff(hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff(is_fun_a_bool,type,
is_fun_a_bool: $i > $o ).
tff(collec1635217238l_bool,type,
collec1635217238l_bool: $i > $i ).
tff(hAPP_f621171935l_bool,type,
hAPP_f621171935l_bool: ( $i * $i ) > $i ).
tff(image_47868345e_bool,type,
image_47868345e_bool: ( $i * $i ) > $i ).
tff(cOMBC_pname_a_bool,type,
cOMBC_pname_a_bool: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(hAPP_f760187903l_bool,type,
hAPP_f760187903l_bool: ( $i * $i ) > $i ).
tff(ord_le1375614389l_bool,type,
ord_le1375614389l_bool: $i ).
tff(image_1154884483l_bool,type,
image_1154884483l_bool: ( $i * $i ) > $i ).
tff(member799430823e_bool,type,
member799430823e_bool: $i ).
tff(hAPP_f434788991l_bool,type,
hAPP_f434788991l_bool: ( $i * $i ) > $i ).
tff(collect_fun_a_bool,type,
collect_fun_a_bool: $i > $i ).
tff(collec1874991203l_bool,type,
collec1874991203l_bool: $i > $i ).
tff(finite_finite_pname,type,
finite_finite_pname: $i ).
tff(cOMBC_7971162l_bool,type,
cOMBC_7971162l_bool: $i > $i ).
tff(image_1642285373l_bool,type,
image_1642285373l_bool: ( $i * $i ) > $i ).
tff(finite_card_nat,type,
finite_card_nat: $i ).
tff(cOMBC_226598744l_bool,type,
cOMBC_226598744l_bool: $i > $i ).
tff(hAPP_fun_a_bool_bool,type,
hAPP_fun_a_bool_bool: ( $i * $i ) > $i ).
tff(collect_fun_nat_bool,type,
collect_fun_nat_bool: $i > $i ).
tff(cOMBB_338059395a_bool,type,
cOMBB_338059395a_bool: ( $i * $i ) > $i ).
tff(cOMBB_2095475776e_bool,type,
cOMBB_2095475776e_bool: ( $i * $i ) > $i ).
tff(hAPP_a_bool,type,
hAPP_a_bool: ( $i * $i ) > $i ).
tff(image_1420695166l_bool,type,
image_1420695166l_bool: ( $i * $i ) > $i ).
tff(collect_nat,type,
collect_nat: $i > $i ).
tff(hAPP_f389811538l_bool,type,
hAPP_f389811538l_bool: ( $i * $i ) > $i ).
tff(cOMBC_1245412066l_bool,type,
cOMBC_1245412066l_bool: $i > $i ).
tff(image_a_a,type,
image_a_a: ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff(hAPP_f198738859l_bool,type,
hAPP_f198738859l_bool: ( $i * $i ) > $i ).
tff(image_1854862208_pname,type,
image_1854862208_pname: ( $i * $i ) > $i ).
tff(image_990671762_pname,type,
image_990671762_pname: ( $i * $i ) > $i ).
tff(hAPP_f1253658590ol_nat,type,
hAPP_f1253658590ol_nat: ( $i * $i ) > $i ).
tff(image_1208015684l_bool,type,
image_1208015684l_bool: ( $i * $i ) > $i ).
tff(image_573985017bool_a,type,
image_573985017bool_a: ( $i * $i ) > $i ).
tff(insert_nat,type,
insert_nat: ( $i * $i ) > $i ).
tff(hAPP_f1050622307l_bool,type,
hAPP_f1050622307l_bool: ( $i * $i ) > $i ).
tff(insert_a,type,
insert_a: ( $i * $i ) > $i ).
tff(hAPP_f921600141ol_nat,type,
hAPP_f921600141ol_nat: ( $i * $i ) > $i ).
tff(finite_finite_a,type,
finite_finite_a: $i ).
tff(hAPP_f1951378235l_bool,type,
hAPP_f1951378235l_bool: ( $i * $i ) > $i ).
tff(collec1015864663l_bool,type,
collec1015864663l_bool: $i > $i ).
tff(f_288,hypothesis,
is_fun_pname_bool(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_U) ).
tff(f_2052,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
tff(f_1445,axiom,
! [A_1,A] :
( is_fun_pname_bool(A)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1),A))
=> ( insert_pname(A_1,A) = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_insert__absorb) ).
tff(f_1735,axiom,
! [F,A_1,B] : ( image_pname_a(F,insert_pname(A_1,B)) = insert_a(hAPP_pname_a(F,A_1),image_pname_a(F,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_image__insert) ).
tff(f_1297,axiom,
! [A_1,B] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1),insert_a(A_1,B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_insertI1) ).
tff(f_2049,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f_1688,axiom,
! [X_2,A,B] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_2,A)),B))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_insert__subset) ).
tff(f_2056,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
tff(c_160,plain,
is_fun_pname_bool(u),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_1097,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnfTransformation,[status(thm)],[f_2052]) ).
tff(c_4488,plain,
! [A_1_1680,A_1681] :
( ( insert_pname(A_1_1680,A_1681) = A_1681 )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_1_1680),A_1681))
| ~ is_fun_pname_bool(A_1681) ),
inference(cnfTransformation,[status(thm)],[f_1445]) ).
tff(c_4500,plain,
( ( insert_pname(pn,u) = u )
| ~ is_fun_pname_bool(u) ),
inference(resolution,[status(thm)],[c_1097,c_4488]) ).
tff(c_4507,plain,
insert_pname(pn,u) = u,
inference(demodulation,[status(thm),theory(equality)],[c_160,c_4500]) ).
tff(c_4405,plain,
! [F_1670,A_1_1671,B_1672] : ( insert_a(hAPP_pname_a(F_1670,A_1_1671),image_pname_a(F_1670,B_1672)) = image_pname_a(F_1670,insert_pname(A_1_1671,B_1672)) ),
inference(cnfTransformation,[status(thm)],[f_1735]) ).
tff(c_638,plain,
! [A_1_534,B_535] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_1_534),insert_a(A_1_534,B_535))),
inference(cnfTransformation,[status(thm)],[f_1297]) ).
tff(c_5422,plain,
! [F_1733,A_1_1734,B_1735] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F_1733,A_1_1734)),image_pname_a(F_1733,insert_pname(A_1_1734,B_1735)))),
inference(superposition,[status(thm),theory(equality)],[c_4405,c_638]) ).
tff(c_5434,plain,
! [F_1733] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F_1733,pn)),image_pname_a(F_1733,u))),
inference(superposition,[status(thm),theory(equality)],[c_4507,c_5422]) ).
tff(c_1091,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnfTransformation,[status(thm)],[f_2049]) ).
tff(c_42666,plain,
! [X_2_3036,A_3037,B_3038] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_2_3036,A_3037)),B_3038))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3037),B_3038))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2_3036),B_3038)) ),
inference(cnfTransformation,[status(thm)],[f_1688]) ).
tff(c_1101,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(cnfTransformation,[status(thm)],[f_2056]) ).
tff(c_42713,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))) ),
inference(resolution,[status(thm)],[c_42666,c_1101]) ).
tff(c_42793,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5434,c_1091,c_42713]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW473+1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 19:22:06 EDT 2023
% 0.15/0.36 % CPUTime :
% 33.71/15.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.71/15.95
% 33.71/15.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 33.71/16.02
% 33.71/16.02 Inference rules
% 33.71/16.02 ----------------------
% 33.71/16.02 #Ref : 3
% 33.71/16.02 #Sup : 11140
% 33.71/16.02 #Fact : 2
% 33.71/16.02 #Define : 0
% 33.71/16.02 #Split : 5
% 33.71/16.02 #Chain : 0
% 33.71/16.02 #Close : 0
% 33.71/16.02
% 33.71/16.02 Ordering : KBO
% 33.71/16.02
% 33.71/16.02 Simplification rules
% 33.71/16.02 ----------------------
% 33.71/16.02 #Subsume : 1336
% 33.71/16.02 #Demod : 4279
% 33.71/16.02 #Tautology : 4136
% 33.71/16.02 #SimpNegUnit : 144
% 33.71/16.02 #BackRed : 74
% 33.71/16.02
% 33.71/16.02 #Partial instantiations: 0
% 33.71/16.02 #Strategies tried : 1
% 33.71/16.02
% 33.71/16.02 Timing (in seconds)
% 33.71/16.02 ----------------------
% 33.71/16.03 Preprocessing : 1.45
% 33.71/16.03 Parsing : 0.80
% 33.71/16.03 CNF conversion : 0.13
% 33.71/16.03 Main loop : 13.43
% 33.71/16.03 Inferencing : 2.82
% 33.71/16.03 Reduction : 6.82
% 33.71/16.03 Demodulation : 5.78
% 33.71/16.03 BG Simplification : 0.21
% 33.71/16.03 Subsumption : 3.01
% 33.71/16.03 Abstraction : 0.20
% 33.71/16.03 MUC search : 0.00
% 33.71/16.03 Cooper : 0.00
% 33.71/16.03 Total : 14.97
% 33.71/16.03 Index Insertion : 0.00
% 33.92/16.03 Index Deletion : 0.00
% 33.92/16.03 Index Matching : 0.00
% 33.92/16.03 BG Taut test : 0.00
%------------------------------------------------------------------------------