%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 : Thu Sep 24 01:03:10 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 23:07:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f14,axiom,(
% 0.15/0.39 (![U,V]: (k(join(U,V)) = meet(k(U),k(V)) ))),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f16,axiom,(
% 0.15/0.39 k(n0) = n1 ),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f18,axiom,(
% 0.15/0.39 (![U,V]: (f(meet(U,V)) = join(f(U),f(V)) ))),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f19,axiom,(
% 0.15/0.39 f(n1) = n0 ),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f20,negated_conjecture,(
% 0.15/0.39 ( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))| f(k(n0)) != n0 ) ),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f35,plain,(
% 0.15/0.39 ![X0,X1]: (k(join(X0,X1))=meet(k(X0),k(X1)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.39 fof(f37,plain,(
% 0.15/0.39 k(n0)=n1),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.39 fof(f39,plain,(
% 0.15/0.39 ![X0,X1]: (f(meet(X0,X1))=join(f(X0),f(X1)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.39 fof(f40,plain,(
% 0.15/0.39 f(n1)=n0),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.39 fof(f41,plain,(
% 0.15/0.39 ~f(k(join(aa,bb)))=join(f(k(aa)),f(k(bb)))|~f(k(n0))=n0),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.15/0.39 fof(f42,definition,(
% 0.15/0.39 sQ0_spl <=> (f(k(join(aa,bb)))=join(f(k(aa)),f(k(bb))))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f44,plain,(
% 0.15/0.39 ~f(k(join(aa,bb)))=join(f(k(aa)),f(k(bb)))|sQ0_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f42])).
% 0.15/0.39 fof(f45,definition,(
% 0.15/0.39 sQ1_spl <=> (f(k(n0))=n0)),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f47,plain,(
% 0.15/0.39 ~f(k(n0))=n0|sQ1_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f45])).
% 0.15/0.39 fof(f48,plain,(
% 0.15/0.39 ~sQ0_spl|~sQ1_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f41,f42,f45])).
% 0.15/0.39 fof(f49,plain,(
% 0.15/0.39 ~f(k(join(aa,bb)))=f(meet(k(aa),k(bb)))|sQ0_spl),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f39,f44])).
% 0.15/0.39 fof(f50,plain,(
% 0.15/0.39 ~f(k(join(aa,bb)))=f(k(join(aa,bb)))|sQ0_spl),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f35,f49])).
% 0.15/0.39 fof(f51,plain,(
% 0.15/0.39 $false|sQ0_spl),
% 0.15/0.39 inference(trivial_equality_resolution,[status(thm)],[f50])).
% 0.15/0.39 fof(f52,plain,(
% 0.15/0.39 sQ0_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f51])).
% 0.15/0.39 fof(f53,plain,(
% 0.15/0.39 ~f(n1)=n0|sQ1_spl),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f37,f47])).
% 0.15/0.39 fof(f54,plain,(
% 0.15/0.39 ~n0=n0|sQ1_spl),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f40,f53])).
% 0.15/0.39 fof(f55,plain,(
% 0.15/0.39 $false|sQ1_spl),
% 0.15/0.39 inference(trivial_equality_resolution,[status(thm)],[f54])).
% 0.15/0.39 fof(f56,plain,(
% 0.15/0.39 sQ1_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f55])).
% 0.15/0.39 fof(f57,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(sat_refutation,[status(thm)],[f48,f52,f56])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.039118 seconds
% 0.15/0.41 % CPU time: 0.117550 seconds
% 0.15/0.41 % Total memory used: 47.883 MB
% 0.15/0.41 % Net memory used: 47.618 MB
%------------------------------------------------------------------------------