%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 07:47:41 AM UTC 2026
% Result : Unsatisfiable 28.94s 4.15s
% Output : CNFRefutation 28.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of clauses : 34 ( 34 unt; 0 nHn; 4 RR)
% Number of literals : 34 ( 33 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 68 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption,axiom,
meet(X0,join(X0,X1)) = X0 ).
cnf(distribution,axiom,
meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)) ).
cnf(prove_absorbtion_dual,negated_conjecture,
join(a,meet(a,b)) != a ).
cnf(c0,plain,
meet(X0,join(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption]) ).
cnf(c1,plain,
meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
inference(clausification,[status(esa)],[distribution]) ).
cnf(c2,plain,
join(a,meet(a,b)) != a,
inference(clausification,[status(esa)],[prove_absorbtion_dual]) ).
cnf(d0,plain,
meet(meet(X0,X1),meet(X1,join(X2,X0))) = meet(X0,X1),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
meet(meet(X1,X0),X0) = meet(X1,X0),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
meet(X1,join(meet(X0,X1),X2)) = join(meet(X2,X1),meet(X0,X1)),
inference(superposition,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
meet(X1,join(meet(X2,X1),X0)) = meet(X1,join(X2,X0)),
inference(demodulation,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
meet(X1,join(X2,meet(X0,X1))) = join(meet(X0,X1),meet(X2,X1)),
inference(superposition,[status(thm)],[d1,c1]) ).
cnf(d5,plain,
meet(X1,join(X2,meet(X0,X1))) = meet(X1,join(X2,X0)),
inference(demodulation,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
meet(X1,meet(X1,join(X2,X0))) = meet(X1,join(meet(X0,X1),X2)),
inference(superposition,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
meet(X0,meet(X0,join(X2,X1))) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
meet(join(X0,X1),join(X2,X0)) = join(X0,meet(X2,join(X0,X1))),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d9,plain,
meet(X0,meet(join(X0,X2),join(X1,X0))) = X0,
inference(superposition,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
meet(X0,meet(join(X0,X1),join(X2,X0))) = meet(X0,join(X0,X1)),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d11,plain,
X0 = meet(X0,join(X0,X1)),
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
meet(X0,X0) = meet(X0,join(X1,X0)),
inference(superposition,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
meet(X0,X0) = X0,
inference(superposition,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
X0 = meet(X0,join(X1,X0)),
inference(demodulation,[status(thm)],[d12,d13]) ).
cnf(d15,plain,
meet(X0,join(X1,X0)) = join(X0,meet(X1,X0)),
inference(superposition,[status(thm)],[d13,c1]) ).
cnf(d16,plain,
X0 = join(X0,meet(X1,X0)),
inference(demodulation,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
meet(X0,join(X0,X1)) = join(meet(X1,X0),X0),
inference(superposition,[status(thm)],[d13,c1]) ).
cnf(d18,plain,
X0 = join(meet(X1,X0),X0),
inference(demodulation,[status(thm)],[d17,c0]) ).
cnf(d19,plain,
X0 = join(X0,X0),
inference(superposition,[status(thm)],[d13,d18]) ).
cnf(d20,plain,
meet(X1,join(X0,X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[d19,c1]) ).
cnf(d21,plain,
meet(X1,X0) = meet(X0,X1),
inference(demodulation,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
X1 = join(X1,meet(X1,X0)),
inference(superposition,[status(thm)],[d21,d16]) ).
cnf(d23,plain,
a != a,
inference(demodulation,[status(thm)],[c2,d22]) ).
cnf(d24,plain,
meet(join(X0,X1),join(X0,X0)) = join(X0,X0),
inference(superposition,[status(thm)],[c0,d8]) ).
cnf(d25,plain,
meet(X0,join(X0,X0)) = X0,
inference(superposition,[status(thm)],[d24,d9]) ).
cnf(d26,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d25,c0]) ).
cnf(d27,plain,
$false,
inference(resolution,[status(thm)],[d26,d23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n020.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 : Fri Sep 25 19:57:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.94/4.15 % SZS status Unsatisfiable for theBenchmark.p
% 28.94/4.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------