%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT091-1 : 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 : n012.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 23.06s 3.14s
% Output : CNFRefutation 23.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 6
% Syntax : Number of clauses : 78 ( 78 unt; 0 nHn; 3 RR)
% Number of literals : 78 ( 77 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 155 ( 39 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_1,axiom,
join(meet(X0,X1),meet(X0,join(X0,X1))) = X0 ).
cnf(wal_absorbtion_2,axiom,
join(meet(X0,X0),meet(X1,join(X0,X0))) = 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_4,negated_conjecture,
join(b,a) != join(a,b) ).
cnf(c0,plain,
join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(clausification,[status(esa)],[wal_absorbtion_1]) ).
cnf(c1,plain,
join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(clausification,[status(esa)],[wal_absorbtion_2]) ).
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(b,a) != join(a,b),
inference(clausification,[status(esa)],[prove_normal_axioms_4]) ).
cnf(d0,plain,
meet(meet(join(X0,X3),X0),X0) = X0,
inference(superposition,[status(thm)],[c4,c3]) ).
cnf(d1,plain,
join(X0,meet(X0,join(meet(join(X0,X1),X0),X0))) = X0,
inference(superposition,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
meet(meet(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d4,plain,
join(meet(meet(X0,X0),meet(X1,join(X0,X0))),X0) = meet(X0,X0),
inference(demodulation,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
meet(meet(X0,join(X2,X0)),X0) = X0,
inference(superposition,[status(thm)],[d1,c3]) ).
cnf(d6,plain,
join(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X1,join(X0,X1)),X1)) = meet(X1,join(X0,X1)),
inference(superposition,[status(thm)],[c2,c2]) ).
cnf(d7,plain,
join(meet(meet(X1,X0),meet(X0,join(X1,X0))),X0) = meet(X0,join(X1,X0)),
inference(demodulation,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
meet(X0,join(X0,X0)) = meet(X0,X0),
inference(superposition,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
join(meet(X0,X0),meet(X0,X0)) = X0,
inference(superposition,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[d9,c4]) ).
cnf(d11,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[d9,d10]) ).
cnf(d12,plain,
join(meet(X0,X0),meet(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c1,d10]) ).
cnf(d13,plain,
join(X0,meet(X1,X0)) = X0,
inference(demodulation,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X1,join(X0,X0)),X0)) = meet(X1,join(X0,X0)),
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d15,plain,
join(meet(X0,meet(X1,join(X0,X0))),meet(meet(X1,join(X0,X0)),X0)) = meet(X1,join(X0,X0)),
inference(demodulation,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
join(meet(X0,meet(X1,X0)),meet(meet(X1,join(X0,X0)),X0)) = meet(X1,join(X0,X0)),
inference(demodulation,[status(thm)],[d15,d10]) ).
cnf(d17,plain,
join(meet(X0,meet(X1,X0)),meet(meet(X1,X0),X0)) = meet(X1,join(X0,X0)),
inference(demodulation,[status(thm)],[d16,d10]) ).
cnf(d18,plain,
join(meet(X0,meet(X1,X0)),meet(meet(X1,X0),X0)) = meet(X1,X0),
inference(demodulation,[status(thm)],[d17,d10]) ).
cnf(d19,plain,
join(meet(X1,X0),X0) = X0,
inference(superposition,[status(thm)],[d18,c4]) ).
cnf(d20,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(d21,plain,
join(X0,meet(meet(join(X0,X1),X0),X0)) = meet(join(X0,X1),X0),
inference(demodulation,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
X0 = meet(join(X0,X1),X0),
inference(demodulation,[status(thm)],[d21,d13]) ).
cnf(d23,plain,
join(join(meet(X0,X3),X0),X0) = X0,
inference(superposition,[status(thm)],[c3,c4]) ).
cnf(d24,plain,
join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(superposition,[status(thm)],[d23,d22]) ).
cnf(d25,plain,
meet(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[d24,d5]) ).
cnf(d26,plain,
join(meet(join(meet(X0,X1),X0),X0),meet(join(meet(X0,X1),X0),X0)) = join(meet(X0,X1),X0),
inference(superposition,[status(thm)],[d23,c0]) ).
cnf(d27,plain,
meet(join(meet(X0,X1),X0),X0) = join(meet(X0,X1),X0),
inference(demodulation,[status(thm)],[d26,d10]) ).
cnf(d28,plain,
X0 = join(meet(X0,X1),X0),
inference(demodulation,[status(thm)],[d27,d25]) ).
cnf(d29,plain,
join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))) = meet(X0,join(X1,X0)),
inference(superposition,[status(thm)],[d5,c0]) ).
cnf(d30,plain,
join(X0,meet(meet(X0,join(X1,X0)),X0)) = meet(X0,join(X1,X0)),
inference(demodulation,[status(thm)],[d29,d28]) ).
cnf(d31,plain,
X0 = meet(X0,join(X1,X0)),
inference(demodulation,[status(thm)],[d30,d13]) ).
cnf(d32,plain,
join(meet(join(meet(X0,X1),meet(X2,X0)),X0),meet(join(meet(X0,X1),meet(X2,X0)),X0)) = join(meet(X0,X1),meet(X2,X0)),
inference(superposition,[status(thm)],[c4,c0]) ).
cnf(d33,plain,
meet(join(meet(X0,X1),meet(X2,X0)),X0) = join(meet(X0,X1),meet(X2,X0)),
inference(demodulation,[status(thm)],[d32,d10]) ).
cnf(d34,plain,
join(X0,join(meet(X0,X1),meet(X2,X0))) = X0,
inference(superposition,[status(thm)],[d33,d13]) ).
cnf(d35,plain,
meet(meet(X1,join(X2,meet(X0,X1))),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c2,c3]) ).
cnf(d36,plain,
meet(meet(X0,X0),meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[d13,d35]) ).
cnf(d37,plain,
meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(demodulation,[status(thm)],[d36,d11]) ).
cnf(d38,plain,
join(X0,join(meet(X1,X0),meet(X2,X0))) = X0,
inference(superposition,[status(thm)],[d37,d34]) ).
cnf(d39,plain,
join(join(X1,X0),join(X0,meet(X2,join(X1,X0)))) = join(X1,X0),
inference(superposition,[status(thm)],[d31,d38]) ).
cnf(d40,plain,
join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[status(thm)],[d22,d28]) ).
cnf(d41,plain,
join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[status(thm)],[d40,c0]) ).
cnf(d42,plain,
meet(X0,join(X0,X1)) = X0,
inference(demodulation,[status(thm)],[d41,d10]) ).
cnf(d43,plain,
join(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(superposition,[status(thm)],[d42,d39]) ).
cnf(d44,plain,
join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(superposition,[status(thm)],[d43,d31]) ).
cnf(d45,plain,
join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[d31,d19]) ).
cnf(d46,plain,
X0 = meet(join(X1,X0),X0),
inference(superposition,[status(thm)],[d45,d22]) ).
cnf(d47,plain,
join(X1,join(meet(X1,X2),X1)) = X1,
inference(superposition,[status(thm)],[d46,d34]) ).
cnf(d48,plain,
join(meet(X0,X1),X0) = X0,
inference(demodulation,[status(thm)],[d47,d45]) ).
cnf(d49,plain,
meet(meet(X0,X1),X0) = meet(X0,X1),
inference(superposition,[status(thm)],[d48,d42]) ).
cnf(d50,plain,
join(X0,meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[d49,d13]) ).
cnf(d51,plain,
meet(meet(X1,X0),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[d50,d35]) ).
cnf(d52,plain,
join(meet(X1,X0),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[d51,d48]) ).
cnf(d53,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[d22,d48]) ).
cnf(d54,plain,
join(X0,X0) = join(X0,meet(X1,X0)),
inference(superposition,[status(thm)],[d13,d53]) ).
cnf(d55,plain,
X0 = join(X0,meet(X1,X0)),
inference(demodulation,[status(thm)],[d54,d10]) ).
cnf(d56,plain,
X0 = join(X0,meet(X0,X1)),
inference(superposition,[status(thm)],[d49,d55]) ).
cnf(d57,plain,
meet(X0,X1) = join(meet(X0,X1),meet(X1,X0)),
inference(superposition,[status(thm)],[d51,d56]) ).
cnf(d58,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[d57,d52]) ).
cnf(d59,plain,
X0 = join(meet(X1,X0),X0),
inference(superposition,[status(thm)],[d37,d28]) ).
cnf(d60,plain,
join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[status(thm)],[d31,d59]) ).
cnf(d61,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[d60,d42]) ).
cnf(d62,plain,
meet(join(X1,X0),join(X0,X1)) = join(X1,X0),
inference(superposition,[status(thm)],[d43,d61]) ).
cnf(d63,plain,
meet(join(X1,X0),join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[d62,d58]) ).
cnf(d64,plain,
join(X0,X1) = join(X1,X0),
inference(superposition,[status(thm)],[d63,d44]) ).
cnf(d65,plain,
$false,
inference(resolution,[status(thm)],[d64,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Fri Sep 25 20:03:20 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.06/3.14 % SZS status Unsatisfiable for theBenchmark.p
% 23.06/3.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------