%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : REL002-1 : 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 : n003.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 08:24:12 AM UTC 2026
% Result : Unsatisfiable 27.08s 3.97s
% Output : CNFRefutation 27.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 6 RR)
% Number of literals : 33 ( 32 equ; 3 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goals_14,negated_conjecture,
join(sk1,top) != top ).
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(maddux3_a_kind_of_de_Morgan_3,axiom,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
cnf(def_top_12,axiom,
top = join(X0,complement(X0)) ).
cnf(def_zero_13,axiom,
zero = meet(X0,complement(X0)) ).
cnf(c0,plain,
join(sk1,top) != top,
inference(clausification,[status(esa)],[goals_14]) ).
cnf(c1,plain,
join(X0,X1) = join(X1,X0),
inference(clausification,[status(esa)],[maddux1_join_commutativity_1]) ).
cnf(c2,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(clausification,[status(esa)],[maddux2_join_associativity_2]) ).
cnf(c3,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(clausification,[status(esa)],[maddux3_a_kind_of_de_Morgan_3]) ).
cnf(c4,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(clausification,[status(esa)],[maddux4_definiton_of_meet_4]) ).
cnf(c12,plain,
top = join(X0,complement(X0)),
inference(clausification,[status(esa)],[def_top_12]) ).
cnf(c13,plain,
zero = meet(X0,complement(X0)),
inference(clausification,[status(esa)],[def_zero_13]) ).
cnf(d0,plain,
join(top,sk1) != top,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c12,c4]) ).
cnf(d2,plain,
zero = complement(top),
inference(demodulation,[status(thm)],[d1,c13]) ).
cnf(d3,plain,
top = join(top,zero),
inference(superposition,[status(thm)],[d2,c12]) ).
cnf(d4,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c12,c2]) ).
cnf(d5,plain,
join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[status(thm)],[c2,c1]) ).
cnf(d6,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(demodulation,[status(thm)],[c3,c1]) ).
cnf(d7,plain,
join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
join(complement(join(complement(X0),X1)),join(meet(X0,X1),X2)) = join(X0,X2),
inference(demodulation,[status(thm)],[d7,c4]) ).
cnf(d9,plain,
join(meet(X0,X1),join(X2,complement(join(complement(X0),X1)))) = join(X0,X2),
inference(demodulation,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
join(meet(X0,X1),top) = join(X0,join(complement(X0),X1)),
inference(superposition,[status(thm)],[c12,d9]) ).
cnf(d11,plain,
join(top,meet(X0,X1)) = join(X0,join(complement(X0),X1)),
inference(demodulation,[status(thm)],[d10,c1]) ).
cnf(d12,plain,
join(top,meet(X0,X1)) = join(top,X1),
inference(demodulation,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
join(top,zero) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c13,d12]) ).
cnf(d14,plain,
top = join(top,complement(X0)),
inference(demodulation,[status(thm)],[d13,d3]) ).
cnf(d15,plain,
join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[status(thm)],[c12,d4]) ).
cnf(d16,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[d16,c1]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL002-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.57 % Computer : n003.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Sat Sep 26 05:26:39 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.11/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.08/3.97 % SZS status Unsatisfiable for theBenchmark.p
% 27.08/3.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------