%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 55.21s 7.77s
% Output : CNFRefutation 55.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 47 ( 47 unt; 0 nHn; 5 RR)
% Number of literals : 47 ( 46 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 92 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet2,axiom,
meet2(X0,X0) = X0 ).
cnf(commutativity_of_meet2,axiom,
meet2(X0,X1) = meet2(X1,X0) ).
cnf(wal_1_2,axiom,
meet2(meet2(join(X0,X1),join(X2,X1)),X1) = X1 ).
cnf(wal_2_2,axiom,
join(join(meet2(X0,X1),meet2(X2,X1)),X1) = X1 ).
cnf(name,negated_conjecture,
meet(a,b) != meet2(a,b) ).
cnf(idempotence_of_join,axiom,
join(X0,X0) = X0 ).
cnf(commutativity_of_meet,axiom,
meet(X0,X1) = meet(X1,X0) ).
cnf(commutativity_of_join,axiom,
join(X0,X1) = join(X1,X0) ).
cnf(wal_1,axiom,
meet(meet(join(X0,X1),join(X2,X1)),X1) = X1 ).
cnf(wal_2,axiom,
join(join(meet(X0,X1),meet(X2,X1)),X1) = X1 ).
cnf(c0,plain,
meet2(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_meet2]) ).
cnf(c1,plain,
meet2(X0,X1) = meet2(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_meet2]) ).
cnf(c2,plain,
meet2(meet2(join(X0,X1),join(X2,X1)),X1) = X1,
inference(clausification,[status(esa)],[wal_1_2]) ).
cnf(c3,plain,
join(join(meet2(X0,X1),meet2(X2,X1)),X1) = X1,
inference(clausification,[status(esa)],[wal_2_2]) ).
cnf(c4,plain,
meet(a,b) != meet2(a,b),
inference(clausification,[status(esa)],[name]) ).
cnf(c6,plain,
join(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_join]) ).
cnf(c7,plain,
meet(X0,X1) = meet(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_meet]) ).
cnf(c8,plain,
join(X0,X1) = join(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_join]) ).
cnf(c9,plain,
meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
inference(clausification,[status(esa)],[wal_1]) ).
cnf(c10,plain,
join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(clausification,[status(esa)],[wal_2]) ).
cnf(d0,plain,
join(X1,join(meet2(X0,X1),meet2(X2,X1))) = X1,
inference(demodulation,[status(thm)],[c3,c8]) ).
cnf(d1,plain,
X0 = join(X0,X0),
inference(superposition,[status(thm)],[c6,c8]) ).
cnf(d2,plain,
join(X1,meet2(X0,X1)) = X1,
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
join(X1,meet2(X1,X0)) = X1,
inference(superposition,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
meet2(X1,meet2(join(X0,X1),join(X2,X1))) = X1,
inference(demodulation,[status(thm)],[c2,c1]) ).
cnf(d5,plain,
join(X1,join(meet(X0,X1),meet(X2,X1))) = X1,
inference(demodulation,[status(thm)],[c10,c8]) ).
cnf(d6,plain,
join(X1,meet(X0,X1)) = X1,
inference(superposition,[status(thm)],[d1,d5]) ).
cnf(d7,plain,
meet2(meet(X1,X0),meet2(join(X2,meet(X1,X0)),X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
meet2(meet(X1,X2),meet2(X2,join(X0,meet(X1,X2)))) = meet(X1,X2),
inference(demodulation,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
join(X1,meet(X1,X0)) = X1,
inference(superposition,[status(thm)],[c7,d6]) ).
cnf(d10,plain,
meet2(meet(X0,X1),meet2(X1,X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
meet2(meet2(X1,X0),meet(X0,X1)) = meet(X0,X1),
inference(demodulation,[status(thm)],[d10,c1]) ).
cnf(d12,plain,
join(meet2(X0,X1),meet(X1,X0)) = meet2(X0,X1),
inference(superposition,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
meet(X1,meet(join(X0,X1),join(X2,X1))) = X1,
inference(demodulation,[status(thm)],[c9,c7]) ).
cnf(d14,plain,
meet(meet2(X1,X0),meet(X0,join(X2,meet2(X1,X0)))) = meet2(X1,X0),
inference(superposition,[status(thm)],[d2,d13]) ).
cnf(d15,plain,
meet(meet2(X0,X1),meet(X1,X0)) = meet2(X0,X1),
inference(superposition,[status(thm)],[d3,d14]) ).
cnf(d16,plain,
join(meet(X1,X0),meet2(X0,X1)) = meet(X1,X0),
inference(superposition,[status(thm)],[d15,d6]) ).
cnf(d17,plain,
join(meet2(X1,X0),meet(X0,X1)) = meet(X0,X1),
inference(demodulation,[status(thm)],[d16,c8]) ).
cnf(d18,plain,
meet2(X0,X1) = meet(X1,X0),
inference(demodulation,[status(thm)],[d17,d12]) ).
cnf(d19,plain,
meet2(b,a) != meet2(a,b),
inference(demodulation,[status(thm)],[c4,d18]) ).
cnf(d20,plain,
meet2(a,b) != meet2(a,b),
inference(demodulation,[status(thm)],[d19,c1]) ).
cnf(d21,plain,
X0 = meet2(X0,X0),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d22,plain,
meet2(X1,join(X0,X1)) = X1,
inference(superposition,[status(thm)],[d21,d4]) ).
cnf(d23,plain,
meet2(X1,meet2(join(X1,X0),join(X2,X1))) = X1,
inference(superposition,[status(thm)],[c8,d4]) ).
cnf(d24,plain,
meet2(X0,join(X0,X0)) = X0,
inference(superposition,[status(thm)],[d21,d23]) ).
cnf(d25,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d24,d22]) ).
cnf(d26,plain,
$false,
inference(resolution,[status(thm)],[d25,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 19:57:58 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.21/7.77 % SZS status Unsatisfiable for theBenchmark.p
% 55.21/7.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------