%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:47:48 AM UTC 2026
% Result : Unsatisfiable 11.00s 4.19s
% Output : CNFRefutation 11.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 3 RR)
% Number of literals : 20 ( 19 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 37 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_1,axiom,
join(meet(X0,X1),meet(X0,join(X0,X1))) = X0 ).
cnf(wal_absorbtion_4,axiom,
meet(meet(join(X0,X1),join(X2,X0)),X0) = X0 ).
cnf(wal_absorbtion_5,axiom,
join(join(meet(X0,X1),meet(X2,X0)),X0) = X0 ).
cnf(prove_normal_axioms_1,negated_conjecture,
meet(a,a) != a ).
cnf(c0,plain,
join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(clausification,[status(esa)],[wal_absorbtion_1]) ).
cnf(c3,plain,
meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(clausification,[status(esa)],[wal_absorbtion_4]) ).
cnf(c4,plain,
join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(clausification,[status(esa)],[wal_absorbtion_5]) ).
cnf(c5,plain,
meet(a,a) != a,
inference(clausification,[status(esa)],[prove_normal_axioms_1]) ).
cnf(d0,plain,
meet(meet(join(X0,X3),X0),X0) = X0,
inference(superposition,[status(thm)],[c4,c3]) ).
cnf(d1,plain,
join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d2,plain,
join(meet(meet(meet(join(X0,X1),X0),X0),meet(meet(join(X0,X1),X0),join(meet(join(X0,X1),X0),X0))),meet(X0,meet(join(X0,X1),X0))) = meet(meet(join(X0,X1),X0),X0),
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d3,plain,
join(meet(X0,meet(meet(join(X0,X1),X0),join(meet(join(X0,X1),X0),X0))),meet(X0,meet(join(X0,X1),X0))) = meet(meet(join(X0,X1),X0),X0),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
join(meet(X0,meet(meet(join(X0,X1),X0),join(meet(join(X0,X1),X0),X0))),meet(X0,meet(join(X0,X1),X0))) = X0,
inference(demodulation,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
join(meet(X0,meet(meet(join(X0,X1),X0),join(meet(join(X0,X1),X0),X0))),meet(meet(meet(join(X0,X1),X0),X0),meet(join(X0,X1),X0))) = meet(meet(join(X0,X1),X0),X0),
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d6,plain,
join(meet(X0,meet(meet(join(X0,X1),X0),join(meet(join(X0,X1),X0),X0))),meet(X0,meet(join(X0,X1),X0))) = meet(meet(join(X0,X1),X0),X0),
inference(demodulation,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
X0 = meet(meet(join(X0,X1),X0),X0),
inference(demodulation,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
join(X0,meet(meet(join(X0,X1),X0),join(meet(join(X0,X1),X0),X0))) = meet(join(X0,X1),X0),
inference(superposition,[status(thm)],[d0,c0]) ).
cnf(d9,plain,
meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n003.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Fri Sep 25 20:05:08 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.00/4.19 % SZS status Unsatisfiable for theBenchmark.p
% 11.00/4.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------