%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 07:47:43 AM UTC 2026
% Result : Unsatisfiable 6.38s 35.40s
% Output : CNFRefutation 6.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 65 ( 65 unt; 0 nHn; 5 RR)
% Number of literals : 65 ( 64 equ; 4 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 155 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dist_join,hypothesis,
join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)) ).
cnf(dist_meet,negated_conjecture,
meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)) ).
cnf(idempotence_of_meet,axiom,
meet(X0,X0) = X0 ).
cnf(idempotence_of_join,axiom,
join(X0,X0) = X0 ).
cnf(absorption1,axiom,
meet(X0,join(X0,X1)) = X0 ).
cnf(absorption2,axiom,
join(X0,meet(X0,X1)) = X0 ).
cnf(commutativity_of_meet,axiom,
meet(X0,X1) = meet(X1,X0) ).
cnf(commutativity_of_join,axiom,
join(X0,X1) = join(X1,X0) ).
cnf(associativity_of_meet,axiom,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)) ).
cnf(associativity_of_join,axiom,
join(join(X0,X1),X2) = join(X0,join(X1,X2)) ).
cnf(c0,plain,
join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
inference(clausification,[status(esa)],[dist_join]) ).
cnf(c1,plain,
meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
inference(clausification,[status(esa)],[dist_meet]) ).
cnf(c2,plain,
meet(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_meet]) ).
cnf(c3,plain,
join(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_join]) ).
cnf(c4,plain,
meet(X0,join(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption1]) ).
cnf(c5,plain,
join(X0,meet(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption2]) ).
cnf(c6,plain,
meet(X0,X1) = meet(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_meet]) ).
cnf(c7,plain,
join(X0,X1) = join(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_join]) ).
cnf(c8,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(clausification,[status(esa)],[associativity_of_meet]) ).
cnf(c9,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(clausification,[status(esa)],[associativity_of_join]) ).
cnf(d0,plain,
meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[status(thm)],[c4,c8]) ).
cnf(d1,plain,
join(X0,meet(X1,X2)) = meet(join(X1,X0),join(X0,X2)),
inference(superposition,[status(thm)],[c7,c0]) ).
cnf(d2,plain,
meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,X2))),
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c7,c4]) ).
cnf(d4,plain,
meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[status(thm)],[d3,c8]) ).
cnf(d5,plain,
join(X0,meet(X2,X1)) = meet(join(X0,X2),join(X1,X0)),
inference(superposition,[status(thm)],[c7,c0]) ).
cnf(d6,plain,
meet(X1,join(X2,X0)) = meet(X1,join(X0,meet(X1,X2))),
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(superposition,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c6,c5]) ).
cnf(d9,plain,
meet(meet(X1,X0),X0) = meet(X1,X0),
inference(superposition,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
meet(X0,meet(X1,X1)) = meet(X0,X1),
inference(demodulation,[status(thm)],[d9,c8]) ).
cnf(d11,plain,
meet(X1,X0) = meet(X1,X0),
inference(demodulation,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
meet(X0,meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(superposition,[status(thm)],[c8,d11]) ).
cnf(d13,plain,
join(X0,meet(X0,X1)) = meet(X0,join(X0,X1)),
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d14,plain,
X0 = meet(X0,join(X0,X1)),
inference(demodulation,[status(thm)],[d13,c5]) ).
cnf(d15,plain,
meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[status(thm)],[c9,c7]) ).
cnf(d17,plain,
join(X2,join(X1,X0)) = join(X1,join(X2,X0)),
inference(superposition,[status(thm)],[c7,d16]) ).
cnf(d18,plain,
join(X0,meet(X1,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(d19,plain,
join(X1,X0) = join(X1,X0),
inference(demodulation,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
X0 = join(X0,meet(X0,X1)),
inference(superposition,[status(thm)],[c5,d19]) ).
cnf(d21,plain,
join(X2,X0) = join(X0,join(X2,meet(X0,X1))),
inference(superposition,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
join(join(X0,X1),X0) = join(X0,X1),
inference(superposition,[status(thm)],[c4,d8]) ).
cnf(d23,plain,
join(X0,join(X1,X0)) = join(X0,X1),
inference(demodulation,[status(thm)],[d22,c9]) ).
cnf(d24,plain,
join(X0,meet(join(X1,X0),X2)) = meet(join(X0,X1),join(X0,X2)),
inference(superposition,[status(thm)],[d23,c0]) ).
cnf(d25,plain,
join(X0,meet(join(X1,X0),X2)) = join(X0,meet(X1,X2)),
inference(demodulation,[status(thm)],[d24,c0]) ).
cnf(d26,plain,
meet(join(X1,meet(X0,X2)),X3) = meet(join(X0,X1),meet(join(X1,X2),X3)),
inference(superposition,[status(thm)],[d1,c8]) ).
cnf(d27,plain,
join(meet(X0,X1),meet(X0,meet(X1,X2))) = meet(X0,X1),
inference(superposition,[status(thm)],[c8,c5]) ).
cnf(d28,plain,
join(join(X1,meet(X0,X2)),meet(join(X0,X1),meet(join(X1,X2),X3))) = meet(join(X0,X1),join(X1,X2)),
inference(superposition,[status(thm)],[d1,d27]) ).
cnf(d29,plain,
join(X0,join(meet(X1,X2),meet(join(X1,X0),meet(join(X0,X2),X3)))) = meet(join(X1,X0),join(X0,X2)),
inference(demodulation,[status(thm)],[d28,c9]) ).
cnf(d30,plain,
join(X1,join(meet(X0,X2),meet(join(X1,meet(X0,X2)),X3))) = meet(join(X0,X1),join(X1,X2)),
inference(demodulation,[status(thm)],[d29,d26]) ).
cnf(d31,plain,
join(X2,join(meet(X0,X1),meet(X2,X3))) = meet(join(X0,X2),join(X2,X1)),
inference(demodulation,[status(thm)],[d30,d25]) ).
cnf(d32,plain,
join(meet(X1,X2),X0) = meet(join(X1,X0),join(X0,X2)),
inference(demodulation,[status(thm)],[d31,d21]) ).
cnf(d33,plain,
meet(X0,join(meet(X0,X2),X1)) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[d32,d15]) ).
cnf(d34,plain,
join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),X2)),
inference(superposition,[status(thm)],[d20,d1]) ).
cnf(d35,plain,
join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X2,X1)),
inference(demodulation,[status(thm)],[d34,d33]) ).
cnf(d36,plain,
meet(xx,join(yy,zz)) != meet(xx,join(zz,yy)),
inference(demodulation,[status(thm)],[c1,d35]) ).
cnf(d37,plain,
meet(xx,join(yy,zz)) != meet(xx,join(yy,zz)),
inference(demodulation,[status(thm)],[d36,d7]) ).
cnf(d38,plain,
join(X0,meet(X2,meet(X0,X1))) = meet(join(X0,X2),X0),
inference(superposition,[status(thm)],[c5,c0]) ).
cnf(d39,plain,
join(X0,meet(X1,meet(X0,X2))) = meet(X0,join(X0,X1)),
inference(demodulation,[status(thm)],[d38,c6]) ).
cnf(d40,plain,
join(X0,meet(X1,meet(X0,X2))) = X0,
inference(demodulation,[status(thm)],[d39,c4]) ).
cnf(d41,plain,
join(X1,meet(meet(X1,X2),X0)) = X1,
inference(superposition,[status(thm)],[c6,d40]) ).
cnf(d42,plain,
join(X0,meet(X0,meet(X1,X2))) = X0,
inference(demodulation,[status(thm)],[d41,c8]) ).
cnf(d43,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d42,c5]) ).
cnf(d44,plain,
$false,
inference(resolution,[status(thm)],[d43,d37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n005.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 19:58:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.38/35.40 % SZS status Unsatisfiable for theBenchmark.p
% 6.38/35.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------