%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT171+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 08:27:55 AM UTC 2026
% Result : Theorem 31.68s 9.84s
% Output : CNFRefutation 31.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 1 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 12 ( 3 avg)
% 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 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('ord$uless$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u312654597$umktop'),p)),e)),'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('fequal$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uA711952286t$ubool'('hAPP$uf114580065t$ubool'('cOMBC$u1377016489t$ubool','hAPP$uf1044120523t$ubool'('cOMBB$u930893948e$uindi'('arrow$u1046586475$uabove'),p)),c)),e)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u163947511$umkbot'),p)),e)))))) ).
fof(fact_14_PW,axiom,
( hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,p)))
<=> hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('ord$uless$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u312654597$umktop'),p)),e)),'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('fequal$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uA711952286t$ubool'('hAPP$uf114580065t$ubool'('cOMBC$u1377016489t$ubool','hAPP$uf1044120523t$ubool'('cOMBB$u930893948e$uindi'('arrow$u1046586475$uabove'),p)),c)),e)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u163947511$umkbot'),p)),e)))))) ) ).
fof(conj_0,conjecture,
hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,p))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,p))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c194,plain,
hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('ord$uless$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u312654597$umktop'),p)),e)),'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('fequal$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uA711952286t$ubool'('hAPP$uf114580065t$ubool'('cOMBC$u1377016489t$ubool','hAPP$uf1044120523t$ubool'('cOMBB$u930893948e$uindi'('arrow$u1046586475$uabove'),p)),c)),e)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u163947511$umkbot'),p)),e)))))),
inference(clausification,[status(esa)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(c196,plain,
( ~ hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('ord$uless$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u312654597$umktop'),p)),e)),'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('fequal$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uA711952286t$ubool'('hAPP$uf114580065t$ubool'('cOMBC$u1377016489t$ubool','hAPP$uf1044120523t$ubool'('cOMBB$u930893948e$uindi'('arrow$u1046586475$uabove'),p)),c)),e)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u163947511$umkbot'),p)),e))))))
| hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,p))) ),
inference(clausification,[status(esa)],[fact_14_PW]) ).
cnf(c1391,plain,
~ hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,p))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ hBOOL('hAPP$uf1733357041l$ubool'('hAPP$uP1151433609l$ubool'('member720722004le$ualt','hAPP$uA1561816353le$ualt'('hAPP$uA1171966089le$ualt'('produc1456060119le$ualt',c),d)),'hAPP$uf1817389232t$ubool'(f,'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('ord$uless$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u312654597$umktop'),p)),e)),'cOMBS$u178315313t$ubool'('cOMBS$u995062533t$ubool'('hAPP$uf1931036015t$ubool'('cOMBB$u810329756e$uindi'('if$ufun1158274329t$ubool'),'hAPP$un1600508401i$ubool'('hAPP$uf595617317i$ubool'('cOMBC$u70761414t$ubool','hAPP$uf1882280879t$ubool'('cOMBB$u552200224e$uindi'('fequal$unat'),h)),n)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uA711952286t$ubool'('hAPP$uf114580065t$ubool'('cOMBC$u1377016489t$ubool','hAPP$uf1044120523t$ubool'('cOMBB$u930893948e$uindi'('arrow$u1046586475$uabove'),p)),c)),e)),'hAPP$uA630236912t$ubool'('hAPP$uf832306437t$ubool'('cOMBC$u325526267t$ubool','hAPP$uf2027600413t$ubool'('cOMBB$u640263118e$uindi'('arrow$u163947511$umkbot'),p)),e)))))),
inference(resolution,[status(thm)],[c1391,c196]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c194,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT171+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.79 % Computer : n002.cluster.edu
% 0.10/5.79 % Model : x86_64 x86_64
% 0.10/5.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.79 % Memory : 8046.5625MB
% 0.10/5.79 % OS : Linux 6.8.0-71-generic
% 0.10/5.79 % CPULimit : 300
% 0.10/5.79 % WCLimit : 300
% 0.10/5.80 % DateTime : Sat Sep 26 06:40:45 UTC 2026
% 0.15/5.80 % CPUTime :
% 0.15/5.80 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.68/9.84 % SZS status Theorem for theBenchmark.p
% 31.68/9.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------