%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT012-1 : 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 : n007.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 07:47:42 AM UTC 2026
% Result : Unsatisfiable 105.61s 16.85s
% Output : CNFRefutation 105.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 3 RR)
% Number of literals : 28 ( 27 equ; 2 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mckenzie1,axiom,
join(X0,meet(X1,meet(X0,X2))) = X0 ).
cnf(mckenzie2,axiom,
meet(X0,join(X1,join(X0,X2))) = X0 ).
cnf(mckenzie3,axiom,
join(join(meet(X0,X1),meet(X1,X2)),X1) = X1 ).
cnf(mckenzie4,axiom,
meet(meet(join(X0,X1),join(X1,X2)),X1) = X1 ).
cnf(prove_commutativity_of_meet,negated_conjecture,
meet(b,a) != meet(a,b) ).
cnf(c0,plain,
join(X0,meet(X1,meet(X0,X2))) = X0,
inference(clausification,[status(esa)],[mckenzie1]) ).
cnf(c1,plain,
meet(X0,join(X1,join(X0,X2))) = X0,
inference(clausification,[status(esa)],[mckenzie2]) ).
cnf(c2,plain,
join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(clausification,[status(esa)],[mckenzie3]) ).
cnf(c3,plain,
meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
inference(clausification,[status(esa)],[mckenzie4]) ).
cnf(c4,plain,
meet(b,a) != meet(a,b),
inference(clausification,[status(esa)],[prove_commutativity_of_meet]) ).
cnf(d0,plain,
join(X0,meet(X3,X0)) = X0,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
meet(X0,join(X3,X0)) = X0,
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d2,plain,
meet(X1,X1) = X1,
inference(superposition,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
join(join(X1,X0),X0) = join(X1,X0),
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d5,plain,
join(meet(X0,X1),X1) = X1,
inference(superposition,[status(thm)],[d0,c2]) ).
cnf(d6,plain,
join(X1,X1) = join(meet(X0,X1),X1),
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
X0 = join(meet(X1,X0),X0),
inference(demodulation,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
join(X0,meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[d2,c0]) ).
cnf(d9,plain,
meet(meet(X0,X1),X0) = meet(X0,X1),
inference(superposition,[status(thm)],[d8,d1]) ).
cnf(d10,plain,
X0 = join(meet(X0,X1),X0),
inference(superposition,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
meet(meet(X0,join(meet(X1,X0),X2)),meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[d0,c3]) ).
cnf(d12,plain,
join(meet(X0,X1),X0) = X0,
inference(superposition,[status(thm)],[d9,d5]) ).
cnf(d13,plain,
meet(meet(X1,X0),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
meet(X0,X1) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[d13,d8]) ).
cnf(d16,plain,
meet(X1,X0) = meet(X0,X1),
inference(superposition,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT012-1 : 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 : n007.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 19:53:54 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.61/16.85 % SZS status Unsatisfiable for theBenchmark.p
% 105.61/16.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------