%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:10:56 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:58:10 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (! [X] : r1(X,X) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,conjecture,(
% 0.13/0.38 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( p201(X)& p101(X) ) ) )))| ~ ( p201(X)& p101(X) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,negated_conjecture,(
% 0.13/0.38 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( p201(X)& p101(X) ) ) )))| ~ ( p201(X)& p101(X) ) ) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f3])).
% 0.13/0.38 fof(f5,plain,(
% 0.13/0.38 ![X0]: (r1(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ?[X]: ((![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(~p201(X)|~p101(X))))))&(p201(X)&p101(X)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ((![Y]: (~r1(sK0_skl,Y)|(![X]: (~r1(Y,X)|(~p201(X)|~p101(X))))))&(p201(sK0_skl)&p101(sK0_skl)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f9])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~p201(X1)|~p101(X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 p201(sK0_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 p101(sK0_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![X0]: (~r1(sK0_skl,X0)|~r1(X0,sK0_skl)|~p201(sK0_skl))),
% 0.13/0.38 inference(resolution,[status(thm)],[f13,f11])).
% 0.13/0.38 fof(f15,definition,(
% 0.13/0.38 ![X0]: (sQ0_spl <=> (~r1(sK0_skl,X0)|~r1(X0,sK0_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0]: (~r1(sK0_skl,X0)|~r1(X0,sK0_skl)|~sQ0_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f15])).
% 0.13/0.38 fof(f18,definition,(
% 0.13/0.38 sQ1_spl <=> (p201(sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ~p201(sK0_skl)|sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f18])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 sQ0_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f14,f15,f18])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ~r1(sK0_skl,sK0_skl)|~sQ0_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f16,f5])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 $false|~sQ0_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f23,f5])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ~sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f24])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 $false|sQ1_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f20,f12])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 sQ1_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f26])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f21,f25,f27])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.046661 seconds
% 0.13/0.41 % CPU time: 0.138250 seconds
% 0.13/0.41 % Total memory used: 55.294 MB
% 0.13/0.41 % Net memory used: 54.689 MB
%------------------------------------------------------------------------------