%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS017-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:00:05 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS017-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 22:50:49 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,negated_conjecture,(
% 0.09/0.39 e(exists) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,negated_conjecture,(
% 0.09/0.39 ~ a(exists) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![X1]: (( r(X1,u0r3(X1))| ~ e(X1) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (![X3,X1,X2]: (( a(X3)| ~ e(X1)| ~ r(X1,X2)| ~ r(X3,X2) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 e(exists)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 ~a(exists)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ![X0]: (r(X0,u0r3(X0))|~e(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 ![X3,X2]: ((![X1]: ((a(X3)|~e(X1))|~r(X1,X2)))|~r(X3,X2))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.39 fof(f12,plain,(
% 0.09/0.39 ![X0,X1,X2]: (a(X0)|~e(X1)|~r(X1,X2)|~r(X0,X2))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f19,plain,(
% 0.09/0.39 r(exists,u0r3(exists))),
% 0.09/0.39 inference(resolution,[status(thm)],[f10,f8])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![X0]: (a(X0)|~e(exists)|~r(X0,u0r3(exists)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f19,f12])).
% 0.09/0.39 fof(f21,definition,(
% 0.09/0.39 ![X0]: (sQ0_spl <=> (a(X0)|~r(X0,u0r3(exists))))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 ![X0]: (a(X0)|~r(X0,u0r3(exists))|~sQ0_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f21])).
% 0.09/0.39 fof(f24,definition,(
% 0.09/0.39 sQ1_spl <=> (e(exists))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f26,plain,(
% 0.09/0.39 ~e(exists)|sQ1_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f24])).
% 0.09/0.39 fof(f27,plain,(
% 0.09/0.39 sQ0_spl|~sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f20,f21,f24])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 a(exists)|~sQ0_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f22,f19])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 $false|~sQ0_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f28,f9])).
% 0.09/0.39 fof(f30,plain,(
% 0.09/0.39 ~sQ0_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f29])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 $false|sQ1_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f26,f8])).
% 0.09/0.39 fof(f32,plain,(
% 0.09/0.39 sQ1_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f31])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f27,f30,f32])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.023377 seconds
% 0.09/0.41 % CPU time: 0.036663 seconds
% 0.09/0.41 % Total memory used: 1.035 MB
% 0.09/0.41 % Net memory used: 1.008 MB
%------------------------------------------------------------------------------