%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : REL049-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 08:24:27 AM UTC 2026
% Result : Unsatisfiable 6.54s 3.06s
% Output : CNFRefutation 6.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 12 RR)
% Number of literals : 17 ( 16 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goals_14,negated_conjecture,
join(sk1,sk2) = sk2 ).
cnf(goals_15,negated_conjecture,
join(sk3,sk2) = sk2 ).
cnf(goals_16,negated_conjecture,
join(join(sk1,sk3),sk2) != sk2 ).
cnf(maddux1_join_commutativity_1,axiom,
join(X0,X1) = join(X1,X0) ).
cnf(maddux2_join_associativity_2,axiom,
join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
cnf(c0,plain,
join(sk1,sk2) = sk2,
inference(clausification,[status(esa)],[goals_14]) ).
cnf(c1,plain,
join(sk3,sk2) = sk2,
inference(clausification,[status(esa)],[goals_15]) ).
cnf(c2,plain,
join(join(sk1,sk3),sk2) != sk2,
inference(clausification,[status(esa)],[goals_16]) ).
cnf(c3,plain,
join(X0,X1) = join(X1,X0),
inference(clausification,[status(esa)],[maddux1_join_commutativity_1]) ).
cnf(c4,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(clausification,[status(esa)],[maddux2_join_associativity_2]) ).
cnf(d0,plain,
join(sk2,sk3) = sk2,
inference(demodulation,[status(thm)],[c1,c3]) ).
cnf(d1,plain,
join(sk2,sk1) = sk2,
inference(demodulation,[status(thm)],[c0,c3]) ).
cnf(d2,plain,
join(sk2,join(sk1,X0)) = join(sk2,X0),
inference(superposition,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
join(sk2,join(sk1,sk3)) != sk2,
inference(demodulation,[status(thm)],[c2,c3]) ).
cnf(d4,plain,
join(sk2,sk3) != sk2,
inference(demodulation,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
sk2 != sk2,
inference(demodulation,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL049-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 05:41:36 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.54/3.06 % SZS status Unsatisfiable for theBenchmark.p
% 6.54/3.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------