%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT171+1 : 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 : n019.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 08:27:54 AM UTC 2026
% Result : Theorem 24.12s 3.51s
% Output : CNFRefutation 24.12s
% 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 13 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$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('ord$uless$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u78446834$umktop',p),e)),'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('fequal$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBC$u493523632t$ubool'('cOMBB$u69933763e$uindi'('arrow$u812378712$uabove',p),c),e)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u2077223396$umkbot',p),e)))))) ).
fof(fact_14_PW,axiom,
( hBOOL('hAPP$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,p)))
<=> hBOOL('hAPP$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('ord$uless$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u78446834$umktop',p),e)),'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('fequal$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBC$u493523632t$ubool'('cOMBB$u69933763e$uindi'('arrow$u812378712$uabove',p),c),e)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u2077223396$umkbot',p),e)))))) ) ).
fof(conj_0,conjecture,
hBOOL('hAPP$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,p))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL('hAPP$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,p))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c150,plain,
hBOOL('hAPP$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('ord$uless$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u78446834$umktop',p),e)),'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('fequal$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBC$u493523632t$ubool'('cOMBB$u69933763e$uindi'('arrow$u812378712$uabove',p),c),e)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u2077223396$umkbot',p),e)))))),
inference(clausification,[status(esa)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(c152,plain,
( ~ hBOOL('hAPP$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('ord$uless$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u78446834$umktop',p),e)),'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('fequal$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBC$u493523632t$ubool'('cOMBB$u69933763e$uindi'('arrow$u812378712$uabove',p),c),e)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u2077223396$umkbot',p),e))))))
| hBOOL('hAPP$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,p))) ),
inference(clausification,[status(esa)],[fact_14_PW]) ).
cnf(c500,plain,
~ hBOOL('hAPP$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,p))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ hBOOL('hAPP$uf745298353l$ubool'('member1056080916le$ualt'('produc171383831le$ualt'(c,d)),'hAPP$uf695124765t$ubool'(f,'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('ord$uless$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u78446834$umktop',p),e)),'cOMBS$u867867294t$ubool'('cOMBS$u102864562t$ubool'('cOMBB$u963584201e$uindi'('if$ufun1419651289t$ubool','cOMBC$u277798809t$ubool'('cOMBB$u317992461e$uindi'('fequal$unat',h),n)),'cOMBC$u1778077589t$ubool'('cOMBC$u493523632t$ubool'('cOMBB$u69933763e$uindi'('arrow$u812378712$uabove',p),c),e)),'cOMBC$u1778077589t$ubool'('cOMBB$u1292070696e$uindi'('arrow$u2077223396$umkbot',p),e)))))),
inference(resolution,[status(thm)],[c500,c152]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c150,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT171+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 06:37:48 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.12/3.51 % SZS status Theorem for theBenchmark.p
% 24.12/3.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------