%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 9.24s 2.05s
% Output : CNFRefutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 22 ( 21 equ; 13 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_on_join,axiom,
k(join(X0,X1)) = meet(k(X0),k(X1)) ).
cnf(k_on_bottom,axiom,
k(n0) = n1 ).
cnf(f_on_meet,axiom,
f(meet(X0,X1)) = join(f(X0),f(X1)) ).
cnf(f_on_top,axiom,
f(n1) = n0 ).
cnf(comp_join_hemimorphism,negated_conjecture,
( f(k(n0)) != n0
| f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) ) ).
cnf(c5,plain,
k(join(X0,X1)) = meet(k(X0),k(X1)),
inference(clausification,[status(esa)],[k_on_join]) ).
cnf(c7,plain,
k(n0) = n1,
inference(clausification,[status(esa)],[k_on_bottom]) ).
cnf(c9,plain,
f(meet(X0,X1)) = join(f(X0),f(X1)),
inference(clausification,[status(esa)],[f_on_meet]) ).
cnf(c10,plain,
f(n1) = n0,
inference(clausification,[status(esa)],[f_on_top]) ).
cnf(c11,plain,
( f(k(n0)) != n0
| f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) ),
inference(clausification,[status(esa)],[comp_join_hemimorphism]) ).
cnf(d0,plain,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| f(n1) != n0 ),
inference(demodulation,[status(thm)],[c11,c7]) ).
cnf(d1,plain,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| n0 != n0 ),
inference(demodulation,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
( f(k(join(aa,bb))) != f(meet(k(aa),k(bb)))
| n0 != n0 ),
inference(demodulation,[status(thm)],[d1,c9]) ).
cnf(d3,plain,
( f(k(join(aa,bb))) != f(k(join(aa,bb)))
| n0 != n0 ),
inference(demodulation,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
n0 != n0,
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 19:59:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.24/2.05 % SZS status Unsatisfiable for theBenchmark.p
% 9.24/2.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------