%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT037-1 : 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 : n013.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 07:47:44 AM UTC 2026
% Result : Unsatisfiable 12.55s 11.78s
% Output : CNFRefutation 12.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 60 ( 60 unt; 0 nHn; 20 RR)
% Number of literals : 60 ( 59 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 77 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dist_join,hypothesis,
join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)) ).
cnf(dist_meet,hypothesis,
meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)) ).
cnf(x_join_0,axiom,
join(X0,n0) = X0 ).
cnf(x_meet_1,axiom,
meet(X0,n1) = X0 ).
cnf(x_join_1,axiom,
join(X0,n1) = n1 ).
cnf(lhs1,axiom,
join(xx,yy) = n1 ).
cnf(lhs2,axiom,
join(xx,zz) = n1 ).
cnf(lhs3,axiom,
meet(xx,yy) = n0 ).
cnf(lhs4,axiom,
meet(xx,zz) = n0 ).
cnf(rhs,negated_conjecture,
yy != zz ).
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_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(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(clausification,[status(esa)],[dist_meet]) ).
cnf(c3,plain,
join(X0,n0) = X0,
inference(clausification,[status(esa)],[x_join_0]) ).
cnf(c4,plain,
meet(X0,n1) = X0,
inference(clausification,[status(esa)],[x_meet_1]) ).
cnf(c5,plain,
join(X0,n1) = n1,
inference(clausification,[status(esa)],[x_join_1]) ).
cnf(c7,plain,
join(xx,yy) = n1,
inference(clausification,[status(esa)],[lhs1]) ).
cnf(c8,plain,
join(xx,zz) = n1,
inference(clausification,[status(esa)],[lhs2]) ).
cnf(c9,plain,
meet(xx,yy) = n0,
inference(clausification,[status(esa)],[lhs3]) ).
cnf(c10,plain,
meet(xx,zz) = n0,
inference(clausification,[status(esa)],[lhs4]) ).
cnf(c11,plain,
yy != zz,
inference(clausification,[status(esa)],[rhs]) ).
cnf(c13,plain,
join(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_join]) ).
cnf(c14,plain,
meet(X0,join(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption1]) ).
cnf(c15,plain,
join(X0,meet(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption2]) ).
cnf(c16,plain,
meet(X0,X1) = meet(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_meet]) ).
cnf(c17,plain,
join(X0,X1) = join(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_join]) ).
cnf(c19,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(clausification,[status(esa)],[associativity_of_join]) ).
cnf(d0,plain,
join(n0,X0) = X0,
inference(superposition,[status(thm)],[c17,c3]) ).
cnf(d1,plain,
meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2)),
inference(superposition,[status(thm)],[c16,c1]) ).
cnf(d2,plain,
meet(yy,join(xx,X0)) = join(n0,meet(yy,X0)),
inference(superposition,[status(thm)],[c9,d1]) ).
cnf(d3,plain,
meet(yy,join(xx,X0)) = meet(yy,X0),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
meet(yy,n1) = meet(yy,zz),
inference(superposition,[status(thm)],[c8,d3]) ).
cnf(d5,plain,
yy = meet(yy,zz),
inference(demodulation,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
meet(X0,join(X1,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c1,c13]) ).
cnf(d7,plain,
meet(X1,X0) = meet(X1,X0),
inference(demodulation,[status(thm)],[d6,c13]) ).
cnf(d8,plain,
n0 = meet(xx,zz),
inference(superposition,[status(thm)],[c10,d7]) ).
cnf(d9,plain,
meet(zz,join(xx,X0)) = join(n0,meet(zz,X0)),
inference(superposition,[status(thm)],[d8,d1]) ).
cnf(d10,plain,
meet(zz,join(xx,X0)) = meet(zz,X0),
inference(demodulation,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
meet(n1,X0) = X0,
inference(superposition,[status(thm)],[c16,c4]) ).
cnf(d12,plain,
join(X0,meet(n1,X1)) = meet(n1,join(X0,X1)),
inference(superposition,[status(thm)],[c5,c0]) ).
cnf(d13,plain,
join(X1,X0) = meet(n1,join(X1,X0)),
inference(demodulation,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
join(X0,X1) = join(X0,X1),
inference(demodulation,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
n1 = join(xx,yy),
inference(superposition,[status(thm)],[c7,d14]) ).
cnf(d16,plain,
meet(zz,n1) = meet(zz,yy),
inference(superposition,[status(thm)],[d15,d10]) ).
cnf(d17,plain,
zz = meet(zz,yy),
inference(demodulation,[status(thm)],[d16,c4]) ).
cnf(d18,plain,
zz = meet(yy,zz),
inference(demodulation,[status(thm)],[d17,c16]) ).
cnf(d19,plain,
zz = yy,
inference(demodulation,[status(thm)],[d18,d5]) ).
cnf(d20,plain,
yy != yy,
inference(demodulation,[status(thm)],[c11,d19]) ).
cnf(d21,plain,
meet(X0,join(X2,join(X0,X1))) = join(meet(X0,X2),X0),
inference(superposition,[status(thm)],[c14,c1]) ).
cnf(d22,plain,
meet(X0,join(X1,join(X0,X2))) = join(X0,meet(X0,X1)),
inference(demodulation,[status(thm)],[d21,c17]) ).
cnf(d23,plain,
meet(X0,join(X1,join(X0,X2))) = X0,
inference(demodulation,[status(thm)],[d22,c15]) ).
cnf(d24,plain,
meet(X1,join(join(X1,X2),X0)) = X1,
inference(superposition,[status(thm)],[c17,d23]) ).
cnf(d25,plain,
meet(X0,join(X0,join(X1,X2))) = X0,
inference(demodulation,[status(thm)],[d24,c19]) ).
cnf(d26,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d25,c14]) ).
cnf(d27,plain,
$false,
inference(resolution,[status(thm)],[d26,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 19:58:22 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.55/11.78 % SZS status Unsatisfiable for theBenchmark.p
% 12.55/11.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------