%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT171_2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 0.18s 0.57s
% Output : CNFRefutation 0.18s
% 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 : 12 ( 3 avg)
% Number of types : 33 ( 32 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 39 ( 39 usr; 18 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_Pr1228236907l_bool: $tType ).
tff(decl_sort2,type,
fun_fu209106563t_bool: $tType ).
tff(decl_sort3,type,
fun_fu1015689055l_bool: $tType ).
tff(decl_sort4,type,
fun_fu699199419t_bool: $tType ).
tff(decl_sort5,type,
fun_Pr1055212137t_bool: $tType ).
tff(decl_sort6,type,
arrow_931160158le_alt: $tType ).
tff(decl_sort7,type,
fun_fu1628463836t_bool: $tType ).
tff(decl_sort8,type,
fun_bo462718181t_bool: $tType ).
tff(decl_sort9,type,
fun_fu2115718429t_bool: $tType ).
tff(decl_sort10,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort11,type,
fun_fu1845850437t_bool: $tType ).
tff(decl_sort12,type,
fun_fu757621293t_bool: $tType ).
tff(decl_sort13,type,
fun_fu1872020686t_bool: $tType ).
tff(decl_sort14,type,
fun_fu613599045t_bool: $tType ).
tff(decl_sort15,type,
fun_fu954933197i_bool: $tType ).
tff(decl_sort16,type,
fun_Ar1519997101t_bool: $tType ).
tff(decl_sort17,type,
fun_Ar500372357t_bool: $tType ).
tff(decl_sort18,type,
fun_Ar1492469401t_bool: $tType ).
tff(decl_sort19,type,
fun_Ar552120407i_bool: $tType ).
tff(decl_sort20,type,
nat: $tType ).
tff(decl_sort21,type,
fun_Ar2049444117le_alt: $tType ).
tff(decl_sort22,type,
bool: $tType ).
tff(decl_sort23,type,
fun_Ar1744566822di_nat: $tType ).
tff(decl_sort24,type,
fun_fu1595299477t_bool: $tType ).
tff(decl_sort25,type,
fun_Ar2045874810t_bool: $tType ).
tff(decl_sort26,type,
fun_na457272970i_bool: $tType ).
tff(decl_sort27,type,
fun_Ar836847646le_alt: $tType ).
tff(decl_sort28,type,
fun_Ar698916836t_bool: $tType ).
tff(decl_sort29,type,
fun_Ar2078312923t_bool: $tType ).
tff(decl_sort30,type,
fun_Ar421919996t_bool: $tType ).
tff(decl_sort31,type,
produc1840315303le_alt: $tType ).
tff(decl_sort32,type,
fun_Ar1583656131t_bool: $tType ).
tff(decl_26,type,
arrow_1475523868_above: fun_fu699199419t_bool ).
tff(decl_29,type,
arrow_592884904_mkbot: fun_fu1628463836t_bool ).
tff(decl_30,type,
arrow_741591990_mktop: fun_fu1628463836t_bool ).
tff(decl_33,type,
cOMBB_231886989e_indi: fun_bo462718181t_bool > fun_fu2115718429t_bool ).
tff(decl_34,type,
cOMBB_981137617e_indi: fun_nat_fun_nat_bool > fun_fu1845850437t_bool ).
tff(decl_39,type,
cOMBB_656639247e_indi: fun_fu699199419t_bool > fun_fu757621293t_bool ).
tff(decl_40,type,
cOMBB_117136048e_indi: fun_fu1628463836t_bool > fun_fu1872020686t_bool ).
tff(decl_44,type,
cOMBC_1505804284t_bool: fun_fu209106563t_bool ).
tff(decl_45,type,
cOMBC_18834461t_bool: fun_fu613599045t_bool ).
tff(decl_46,type,
cOMBC_922322901t_bool: fun_fu954933197i_bool ).
tff(decl_76,type,
cOMBS_811328630t_bool: ( fun_Ar500372357t_bool * fun_Ar1519997101t_bool ) > fun_Ar1492469401t_bool ).
tff(decl_77,type,
cOMBS_1921392482t_bool: ( fun_Ar500372357t_bool * fun_Ar1492469401t_bool ) > fun_Ar500372357t_bool ).
tff(decl_139,type,
if_fun1658569689t_bool: fun_bo462718181t_bool ).
tff(decl_142,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(decl_171,type,
produc362059031le_alt: fun_Ar2049444117le_alt ).
tff(decl_184,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(decl_189,type,
hAPP_A1485971815le_alt: ( arrow_931160158le_alt * fun_Ar2049444117le_alt ) > fun_Ar836847646le_alt ).
tff(decl_190,type,
hAPP_A102926893t_bool: ( arrow_931160158le_alt * fun_Ar2078312923t_bool ) > fun_Ar698916836t_bool ).
tff(decl_191,type,
hAPP_A658738638t_bool: ( arrow_931160158le_alt * fun_Ar421919996t_bool ) > fun_Ar500372357t_bool ).
tff(decl_195,type,
hAPP_A1313367280le_alt: ( arrow_931160158le_alt * fun_Ar836847646le_alt ) > produc1840315303le_alt ).
tff(decl_230,type,
hAPP_n924210722i_bool: ( nat * fun_na457272970i_bool ) > fun_Ar552120407i_bool ).
tff(decl_256,type,
hAPP_f509814255t_bool: ( fun_Ar552120407i_bool * fun_fu2115718429t_bool ) > fun_Ar1519997101t_bool ).
tff(decl_259,type,
hAPP_f1381130897t_bool: ( fun_Ar1744566822di_nat * fun_fu1845850437t_bool ) > fun_Ar2045874810t_bool ).
tff(decl_261,type,
hAPP_f141075873t_bool: ( fun_Ar1583656131t_bool * fun_fu209106563t_bool ) > fun_Ar2078312923t_bool ).
tff(decl_262,type,
hAPP_f293545699t_bool: ( fun_Ar698916836t_bool * fun_fu613599045t_bool ) > fun_Ar421919996t_bool ).
tff(decl_264,type,
hAPP_f62620517i_bool: ( fun_Ar2045874810t_bool * fun_fu954933197i_bool ) > fun_na457272970i_bool ).
tff(decl_273,type,
hAPP_f576849227t_bool: ( fun_Ar500372357t_bool * fun_fu757621293t_bool ) > fun_Ar1583656131t_bool ).
tff(decl_274,type,
hAPP_f842954860t_bool: ( fun_Ar500372357t_bool * fun_fu1872020686t_bool ) > fun_Ar698916836t_bool ).
tff(decl_279,type,
hAPP_f792184801t_bool: ( fun_Ar500372357t_bool * fun_fu1595299477t_bool ) > fun_Pr1055212137t_bool ).
tff(decl_379,type,
hAPP_f429946033l_bool: ( fun_Pr1055212137t_bool * fun_fu1015689055l_bool ) > bool ).
tff(decl_404,type,
hAPP_P840149257l_bool: ( produc1840315303le_alt * fun_Pr1228236907l_bool ) > fun_fu1015689055l_bool ).
tff(decl_405,type,
hBOOL: bool > $o ).
tff(decl_443,type,
member553230100le_alt: fun_Pr1228236907l_bool ).
tff(decl_444,type,
f: fun_fu1595299477t_bool ).
tff(decl_447,type,
p: fun_Ar500372357t_bool ).
tff(decl_450,type,
c: arrow_931160158le_alt ).
tff(decl_451,type,
d: arrow_931160158le_alt ).
tff(decl_452,type,
e: arrow_931160158le_alt ).
tff(decl_453,type,
h: fun_Ar1744566822di_nat ).
tff(decl_454,type,
n: nat ).
tff(conj_0,conjecture,
hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(fact_14_PW,axiom,
( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p)))
<=> hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e)))))) ),
file('/export/starexec/sandbox2/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_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e)))))),
file('/export/starexec/sandbox2/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_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
inference(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_4,negated_conjecture,
~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
tff(c_0_5,plain,
( ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p)))
| ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e)))))) )
& ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e))))))
| ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_14_PW])]) ).
tff(c_0_6,negated_conjecture,
~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e))))))
| hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,negated_conjecture,
~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_9,plain,
hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_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_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_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_2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 04:37:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.18/0.57 % Version: 3.5.1
% 0.18/0.57 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.18/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.57 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.18/0.57 % Starting new_bool_3 with 600s (2) cores
% 0.18/0.57 % Starting new_bool_1 with 600s (2) cores
% 0.18/0.57 % Starting sh5l with 300s (1) cores
% 0.18/0.57 % new_bool_3 with pid 4145282 completed with status 0
% 0.18/0.57 % Result found by new_bool_3
% 0.18/0.57 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.18/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.57 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.18/0.57 % Starting new_bool_3 with 600s (2) cores
% 0.18/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.57 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.18/0.57 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.18/0.57 % Starting SubtermCWHack with 55s (1) cores
% 0.18/0.57 % Starting new_bool_3 with 61s (1) cores
% 0.18/0.57 % new_bool_3 with pid 4145295 completed with status 0
% 0.18/0.57 % Result found by new_bool_3
% 0.18/0.57 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.18/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.57 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.18/0.57 % Starting new_bool_3 with 600s (2) cores
% 0.18/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.57 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.18/0.57 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.18/0.57 % Starting SubtermCWHack with 55s (1) cores
% 0.18/0.57 % Starting new_bool_3 with 61s (1) cores
% 0.18/0.57 % Preprocessing time : 0.011 s
% 0.18/0.57 % Presaturation interreduction done
% 0.18/0.57
% 0.18/0.57 % Proof found!
% 0.18/0.57 % SZS status Theorem
% 0.18/0.57 % SZS output start CNFRefutation
% See solution above
% 0.18/0.57 % Parsed axioms : 1442
% 0.18/0.57 % Removed by relevancy pruning/SinE : 1185
% 0.18/0.57 % Initial clauses : 469
% 0.18/0.57 % Removed in clause preprocessing : 65
% 0.18/0.57 % Initial clauses in saturation : 404
% 0.18/0.57 % Processed clauses : 440
% 0.18/0.57 % ...of these trivial : 20
% 0.18/0.57 % ...subsumed : 164
% 0.18/0.57 % ...remaining for further processing : 255
% 0.18/0.57 % Other redundant clauses eliminated : 55
% 0.18/0.57 % Clauses deleted for lack of memory : 0
% 0.18/0.57 % Backward-subsumed : 0
% 0.18/0.57 % Backward-rewritten : 1
% 0.18/0.57 % Generated clauses : 51
% 0.18/0.57 % ...of the previous two non-redundant : 41
% 0.18/0.57 % ...aggressively subsumed : 0
% 0.18/0.57 % Contextual simplify-reflections : 2
% 0.18/0.57 % Paramodulations : 0
% 0.18/0.57 % Factorizations : 0
% 0.18/0.57 % NegExts : 0
% 0.18/0.57 % Equation resolutions : 55
% 0.18/0.57 % Disequality decompositions : 0
% 0.18/0.57 % Total rewrite steps : 70
% 0.18/0.57 % ...of those cached : 52
% 0.18/0.57 % Propositional unsat checks : 0
% 0.18/0.57 % Propositional check models : 0
% 0.18/0.57 % Propositional check unsatisfiable : 0
% 0.18/0.57 % Propositional clauses : 0
% 0.18/0.57 % Propositional clauses after purity: 0
% 0.18/0.57 % Propositional unsat core size : 0
% 0.18/0.57 % Propositional preprocessing time : 0.000
% 0.18/0.57 % Propositional encoding time : 0.000
% 0.18/0.57 % Propositional solver time : 0.000
% 0.18/0.57 % Success case prop preproc time : 0.000
% 0.18/0.57 % Success case prop encoding time : 0.000
% 0.18/0.57 % Success case prop solver time : 0.000
% 0.18/0.57 % Current number of processed clauses : 203
% 0.18/0.57 % Positive orientable unit clauses : 36
% 0.18/0.57 % Positive unorientable unit clauses: 2
% 0.18/0.57 % Negative unit clauses : 13
% 0.18/0.57 % Non-unit-clauses : 152
% 0.18/0.57 % Current number of unprocessed clauses: 5
% 0.18/0.57 % ...number of literals in the above : 8
% 0.18/0.57 % Current number of archived formulas : 0
% 0.18/0.57 % Current number of archived clauses : 1
% 0.18/0.57 % Clause-clause subsumption calls (NU) : 12697
% 0.18/0.57 % Rec. Clause-clause subsumption calls : 4471
% 0.18/0.57 % Non-unit clause-clause subsumptions : 125
% 0.18/0.57 % Unit Clause-clause subsumption calls : 338
% 0.18/0.57 % Rewrite failures with RHS unbound : 0
% 0.18/0.57 % BW rewrite match attempts : 72
% 0.18/0.57 % BW rewrite match successes : 5
% 0.18/0.57 % Condensation attempts : 0
% 0.18/0.57 % Condensation successes : 0
% 0.18/0.57 % Termbank termtop insertions : 63709
% 0.18/0.57 % Search garbage collected termcells : 12252
% 0.18/0.57
% 0.18/0.57 % -------------------------------------------------
% 0.18/0.57 % User time : 0.060 s
% 0.18/0.57 % System time : 0.020 s
% 0.18/0.57 % Total time : 0.081 s
% 0.18/0.57 % Maximum resident set size: 7760 pages
% 0.18/0.57
% 0.18/0.57 % -------------------------------------------------
% 0.18/0.57 % User time : 0.138 s
% 0.18/0.57 % System time : 0.039 s
% 0.18/0.57 % Total time : 0.177 s
% 0.18/0.57 % Maximum resident set size: 6912 pages
% 0.18/0.57 % E exiting
%------------------------------------------------------------------------------