%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT171_3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:08:03 PM UTC 2026
% Result : Theorem 0.46s 0.63s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of types : 35 ( 34 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 41 ( 41 usr; 18 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_Pr1085078251l_bool: $tType ).
tff(decl_sort2,type,
fun_fu638310559l_bool: $tType ).
tff(decl_sort3,type,
fun_fu1287834969t_bool: $tType ).
tff(decl_sort4,type,
fun_Pr2067565481t_bool: $tType ).
tff(decl_sort5,type,
arrow_1893660431le_alt: $tType ).
tff(decl_sort6,type,
fun_fu1679793515t_bool: $tType ).
tff(decl_sort7,type,
fun_bo1945492389t_bool: $tType ).
tff(decl_sort8,type,
fun_fu1821795357t_bool: $tType ).
tff(decl_sort9,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort10,type,
fun_fu1372829539t_bool: $tType ).
tff(decl_sort11,type,
fun_fu1427663149t_bool: $tType ).
tff(decl_sort12,type,
fun_fu1896276031t_bool: $tType ).
tff(decl_sort13,type,
fun_fu548876995t_bool: $tType ).
tff(decl_sort14,type,
fun_fu2128130023t_bool: $tType ).
tff(decl_sort15,type,
fun_fu1610971917i_bool: $tType ).
tff(decl_sort16,type,
fun_Ar2121501495le_alt: $tType ).
tff(decl_sort17,type,
fun_Ar535288606t_bool: $tType ).
tff(decl_sort18,type,
fun_fu419698981t_bool: $tType ).
tff(decl_sort19,type,
fun_Ar516759882t_bool: $tType ).
tff(decl_sort20,type,
fun_fu1037963345t_bool: $tType ).
tff(decl_sort21,type,
fun_Ar671024215di_nat: $tType ).
tff(decl_sort22,type,
fun_Ar1809396326i_bool: $tType ).
tff(decl_sort23,type,
fun_Ar603939593t_bool: $tType ).
tff(decl_sort24,type,
fun_Ar274636406t_bool: $tType ).
tff(decl_sort25,type,
fun_na2037635353i_bool: $tType ).
tff(decl_sort26,type,
nat: $tType ).
tff(decl_sort27,type,
bool: $tType ).
tff(decl_sort28,type,
fun_Ar245737999le_alt: $tType ).
tff(decl_sort29,type,
fun_Ar64685412t_bool: $tType ).
tff(decl_sort30,type,
fun_Ar1753411852t_bool: $tType ).
tff(decl_sort31,type,
fun_Ar1623257374t_bool: $tType ).
tff(decl_sort32,type,
produc472769767le_alt: $tType ).
tff(decl_sort33,type,
fun_Ar290235730t_bool: $tType ).
tff(decl_sort34,type,
fun_fu2114379172t_bool: $tType ).
tff(decl_26,type,
arrow_216713899_above: fun_fu1287834969t_bool ).
tff(decl_29,type,
arrow_1481558583_mkbot: fun_fu1679793515t_bool ).
tff(decl_30,type,
arrow_1630265669_mktop: fun_fu1679793515t_bool ).
tff(decl_34,type,
cOMBB_1061985500e_indi: fun_bo1945492389t_bool > fun_fu1821795357t_bool ).
tff(decl_35,type,
cOMBB_1869811296e_indi: fun_nat_fun_nat_bool > fun_fu1372829539t_bool ).
tff(decl_40,type,
cOMBB_1876517692e_indi: fun_fu1287834969t_bool > fun_fu1427663149t_bool ).
tff(decl_41,type,
cOMBB_80760910e_indi: fun_fu1679793515t_bool > fun_fu1896276031t_bool ).
tff(decl_45,type,
cOMBC_1486904681t_bool: fun_fu548876995t_bool ).
tff(decl_46,type,
cOMBC_1417338747t_bool: fun_fu2128130023t_bool ).
tff(decl_47,type,
cOMBC_722552198t_bool: fun_fu1610971917i_bool ).
tff(decl_96,type,
cOMBS_1925466437t_bool: fun_Ar535288606t_bool > fun_fu419698981t_bool ).
tff(decl_97,type,
cOMBS_1181656689t_bool: fun_Ar516759882t_bool > fun_fu1037963345t_bool ).
tff(decl_144,type,
if_fun523439385t_bool: fun_bo1945492389t_bool ).
tff(decl_151,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(decl_182,type,
produc1590937303le_alt: fun_Ar2121501495le_alt ).
tff(decl_201,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(decl_206,type,
hAPP_A1146194953le_alt: ( arrow_1893660431le_alt * fun_Ar2121501495le_alt ) > fun_Ar245737999le_alt ).
tff(decl_207,type,
hAPP_A1889513822t_bool: ( arrow_1893660431le_alt * fun_Ar1753411852t_bool ) > fun_Ar64685412t_bool ).
tff(decl_208,type,
hAPP_A425126512t_bool: ( arrow_1893660431le_alt * fun_Ar1623257374t_bool ) > fun_Ar274636406t_bool ).
tff(decl_212,type,
hAPP_A1299015393le_alt: ( arrow_1893660431le_alt * fun_Ar245737999le_alt ) > produc472769767le_alt ).
tff(decl_248,type,
hAPP_n34002993i_bool: ( nat * fun_na2037635353i_bool ) > fun_Ar1809396326i_bool ).
tff(decl_283,type,
hAPP_f668886383t_bool: ( fun_Ar1809396326i_bool * fun_fu1821795357t_bool ) > fun_Ar535288606t_bool ).
tff(decl_291,type,
hAPP_f966656047t_bool: ( fun_Ar671024215di_nat * fun_fu1372829539t_bool ) > fun_Ar603939593t_bool ).
tff(decl_293,type,
hAPP_f2102110817t_bool: ( fun_Ar290235730t_bool * fun_fu548876995t_bool ) > fun_Ar1753411852t_bool ).
tff(decl_294,type,
hAPP_f1631649925t_bool: ( fun_Ar64685412t_bool * fun_fu2128130023t_bool ) > fun_Ar1623257374t_bool ).
tff(decl_296,type,
hAPP_f721434149i_bool: ( fun_Ar603939593t_bool * fun_fu1610971917i_bool ) > fun_na2037635353i_bool ).
tff(decl_304,type,
hAPP_f1751344075t_bool: ( fun_Ar274636406t_bool * fun_fu1427663149t_bool ) > fun_Ar290235730t_bool ).
tff(decl_305,type,
hAPP_f831214557t_bool: ( fun_Ar274636406t_bool * fun_fu1896276031t_bool ) > fun_Ar64685412t_bool ).
tff(decl_306,type,
hAPP_f1001205955t_bool: ( fun_Ar274636406t_bool * fun_fu419698981t_bool ) > fun_Ar516759882t_bool ).
tff(decl_307,type,
hAPP_f1302887663t_bool: ( fun_Ar274636406t_bool * fun_fu1037963345t_bool ) > fun_Ar274636406t_bool ).
tff(decl_312,type,
hAPP_f2008608496t_bool: ( fun_Ar274636406t_bool * fun_fu2114379172t_bool ) > fun_Pr2067565481t_bool ).
tff(decl_438,type,
hAPP_f52567537l_bool: ( fun_Pr2067565481t_bool * fun_fu638310559l_bool ) > bool ).
tff(decl_465,type,
hAPP_P38525833l_bool: ( produc472769767le_alt * fun_Pr1085078251l_bool ) > fun_fu638310559l_bool ).
tff(decl_466,type,
hBOOL: bool > $o ).
tff(decl_502,type,
member1333168212le_alt: fun_Pr1085078251l_bool ).
tff(decl_503,type,
f: fun_fu2114379172t_bool ).
tff(decl_506,type,
p: fun_Ar274636406t_bool ).
tff(decl_509,type,
c: arrow_1893660431le_alt ).
tff(decl_510,type,
d: arrow_1893660431le_alt ).
tff(decl_511,type,
e: arrow_1893660431le_alt ).
tff(decl_512,type,
h: fun_Ar671024215di_nat ).
tff(decl_513,type,
n: nat ).
tff(conj_0,conjecture,
hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(fact_14_PW,axiom,
( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p)))
<=> hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).
tff(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
tff(c_0_3,negated_conjecture,
~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
inference(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_4,negated_conjecture,
~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
tff(c_0_5,plain,
( ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p)))
| ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) )
& ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e))))))
| ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_14_PW])]) ).
tff(c_0_6,negated_conjecture,
~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
( ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e))))))
| hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,negated_conjecture,
~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_9,plain,
hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
inference(split_conjunct,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
tcf(c_0_10,plain,
~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT171_3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:40:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.63 % Version: 3.5.1
% 0.46/0.63 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.46/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.46/0.63 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.46/0.63 % Starting new_bool_3 with 600s (2) cores
% 0.46/0.63 % Starting new_bool_1 with 600s (2) cores
% 0.46/0.63 % Starting sh5l with 300s (1) cores
% 0.46/0.63 % new_bool_3 with pid 2439337 completed with status 0
% 0.46/0.63 % Result found by new_bool_3
% 0.46/0.63 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.46/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.46/0.63 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.46/0.63 % Starting new_bool_3 with 600s (2) cores
% 0.46/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.46/0.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.46/0.63 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.46/0.63 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.46/0.63 % Starting SubtermCWHack with 55s (1) cores
% 0.46/0.63 % Starting new_bool_3 with 61s (1) cores
% 0.46/0.63 % new_bool_3 with pid 2439355 completed with status 0
% 0.46/0.63 % Result found by new_bool_3
% 0.46/0.63 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.46/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.46/0.63 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.46/0.63 % Starting new_bool_3 with 600s (2) cores
% 0.46/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.46/0.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.46/0.63 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.46/0.63 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.46/0.63 % Starting SubtermCWHack with 55s (1) cores
% 0.46/0.63 % Starting new_bool_3 with 61s (1) cores
% 0.46/0.63 % Preprocessing time : 0.013 s
% 0.46/0.63 % Presaturation interreduction done
% 0.46/0.63
% 0.46/0.63 % Proof found!
% 0.46/0.63 % SZS status Theorem
% 0.46/0.63 % SZS output start CNFRefutation
% See solution above
% 0.46/0.63 % Parsed axioms : 2064
% 0.46/0.63 % Removed by relevancy pruning/SinE : 1746
% 0.46/0.63 % Initial clauses : 555
% 0.46/0.63 % Removed in clause preprocessing : 80
% 0.46/0.63 % Initial clauses in saturation : 475
% 0.46/0.63 % Processed clauses : 510
% 0.46/0.63 % ...of these trivial : 20
% 0.46/0.63 % ...subsumed : 189
% 0.46/0.63 % ...remaining for further processing : 300
% 0.46/0.63 % Other redundant clauses eliminated : 78
% 0.46/0.63 % Clauses deleted for lack of memory : 0
% 0.46/0.63 % Backward-subsumed : 2
% 0.46/0.63 % Backward-rewritten : 1
% 0.46/0.63 % Generated clauses : 67
% 0.46/0.63 % ...of the previous two non-redundant : 40
% 0.46/0.63 % ...aggressively subsumed : 0
% 0.46/0.63 % Contextual simplify-reflections : 2
% 0.46/0.63 % Paramodulations : 0
% 0.46/0.63 % Factorizations : 0
% 0.46/0.63 % NegExts : 0
% 0.46/0.63 % Equation resolutions : 78
% 0.46/0.63 % Disequality decompositions : 0
% 0.46/0.63 % Total rewrite steps : 111
% 0.46/0.63 % ...of those cached : 88
% 0.46/0.63 % Propositional unsat checks : 0
% 0.46/0.63 % Propositional check models : 0
% 0.46/0.63 % Propositional check unsatisfiable : 0
% 0.46/0.63 % Propositional clauses : 0
% 0.46/0.63 % Propositional clauses after purity: 0
% 0.46/0.63 % Propositional unsat core size : 0
% 0.46/0.63 % Propositional preprocessing time : 0.000
% 0.46/0.63 % Propositional encoding time : 0.000
% 0.46/0.63 % Propositional solver time : 0.000
% 0.46/0.63 % Success case prop preproc time : 0.000
% 0.46/0.63 % Success case prop encoding time : 0.000
% 0.46/0.63 % Success case prop solver time : 0.000
% 0.46/0.63 % Current number of processed clauses : 230
% 0.46/0.63 % Positive orientable unit clauses : 37
% 0.46/0.63 % Positive unorientable unit clauses: 2
% 0.46/0.63 % Negative unit clauses : 13
% 0.46/0.63 % Non-unit-clauses : 178
% 0.46/0.63 % Current number of unprocessed clauses: 5
% 0.46/0.63 % ...number of literals in the above : 8
% 0.46/0.63 % Current number of archived formulas : 0
% 0.46/0.63 % Current number of archived clauses : 3
% 0.46/0.63 % Clause-clause subsumption calls (NU) : 26344
% 0.46/0.63 % Rec. Clause-clause subsumption calls : 5411
% 0.46/0.63 % Non-unit clause-clause subsumptions : 152
% 0.46/0.63 % Unit Clause-clause subsumption calls : 15
% 0.46/0.63 % Rewrite failures with RHS unbound : 0
% 0.46/0.63 % BW rewrite match attempts : 70
% 0.46/0.63 % BW rewrite match successes : 21
% 0.46/0.63 % Condensation attempts : 0
% 0.46/0.63 % Condensation successes : 0
% 0.46/0.63 % Termbank termtop insertions : 84608
% 0.46/0.63 % Search garbage collected termcells : 23556
% 0.46/0.63
% 0.46/0.63 % -------------------------------------------------
% 0.46/0.63 % User time : 0.097 s
% 0.46/0.63 % System time : 0.020 s
% 0.46/0.63 % Total time : 0.117 s
% 0.46/0.63 % Maximum resident set size: 9584 pages
% 0.46/0.63
% 0.46/0.63 % -------------------------------------------------
% 0.46/0.63 % User time : 0.236 s
% 0.46/0.63 % System time : 0.042 s
% 0.46/0.63 % Total time : 0.278 s
% 0.46/0.63 % Maximum resident set size: 9216 pages
% 0.46/0.63 % E exiting
%------------------------------------------------------------------------------