%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT090-1 : 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 : n017.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 15.35s 2.70s
% Output : CNFRefutation 15.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 3 RR)
% Number of literals : 29 ( 28 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 : 54 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_1,axiom,
join(meet(X0,X1),meet(X0,join(X0,X1))) = X0 ).
cnf(wal_absorbtion_3,axiom,
join(meet(X0,X1),meet(X1,join(X0,X1))) = X1 ).
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_3,negated_conjecture,
join(a,a) != a ).
cnf(c0,plain,
join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(clausification,[status(esa)],[wal_absorbtion_1]) ).
cnf(c2,plain,
join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(clausification,[status(esa)],[wal_absorbtion_3]) ).
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,
join(a,a) != a,
inference(clausification,[status(esa)],[prove_normal_axioms_3]) ).
cnf(d0,plain,
join(join(meet(X0,X3),X0),X0) = X0,
inference(superposition,[status(thm)],[c3,c4]) ).
cnf(d1,plain,
meet(meet(join(X0,X3),X0),X0) = X0,
inference(superposition,[status(thm)],[c4,c3]) ).
cnf(d2,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(d3,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)],[d1,d2]) ).
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))) = meet(meet(join(X0,X1),X0),X0),
inference(demodulation,[status(thm)],[d3,d1]) ).
cnf(d5,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)],[d4,d1]) ).
cnf(d6,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)],[d1,d2]) ).
cnf(d7,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)],[d6,d1]) ).
cnf(d8,plain,
X0 = meet(meet(join(X0,X1),X0),X0),
inference(demodulation,[status(thm)],[d7,d5]) ).
cnf(d9,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)],[d1,c0]) ).
cnf(d10,plain,
meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
join(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X0,X1),X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d13,plain,
join(meet(X0,meet(X0,join(meet(join(X0,X1),X0),X0))),meet(meet(meet(join(X0,X1),X0),X0),X0)) = meet(meet(join(X0,X1),X0),X0),
inference(superposition,[status(thm)],[d1,d12]) ).
cnf(d14,plain,
join(meet(X0,meet(X0,join(meet(join(X0,X1),X0),X0))),meet(X0,X0)) = meet(meet(join(X0,X1),X0),X0),
inference(demodulation,[status(thm)],[d13,d8]) ).
cnf(d15,plain,
join(meet(X0,meet(X0,join(meet(join(X0,X1),X0),X0))),X0) = meet(meet(join(X0,X1),X0),X0),
inference(demodulation,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
join(meet(X0,meet(X0,join(meet(join(X0,X1),X0),X0))),X0) = X0,
inference(demodulation,[status(thm)],[d15,d8]) ).
cnf(d17,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[d16,d0]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 19:59:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.35/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 15.35/2.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------