%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 01:10:40 PM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.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 : Mon Sep 21 00:45:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (! [X] : r1(X,X) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,conjecture,(
% 0.12/0.37 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ ( (! [Y] :( ~ r1(X,Y)| ( ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p2(X)& ~ p102(X)& p101(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p2(X)& ~ p102(X)& p101(X) ) ) ))| ~ ( ~ p101(Y)& p100(Y) ) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p2(X)| ~ p101(X) ))| p2(Y) )& ( (! [X] :( ~ r1(Y,X)| p2(X)| ~ p101(X) ))| ~ p2(Y) ) )| ~ p101(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p1(X)| ~ p100(X) ))| p1(Y) )& ( (! [X] :( ~ r1(Y,X)| p1(X)| ~ p100(X) ))| ~ p1(Y) ) )| ~ p100(Y) )& ( p101(Y)| ~ p102(Y) )& ( p100(Y)| ~ p101(Y) ) ) ))& ~ p101(X)& p100(X) ) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,negated_conjecture,(
% 0.12/0.37 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ ( (! [Y] :( ~ r1(X,Y)| ( ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p2(X)& ~ p102(X)& p101(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p2(X)& ~ p102(X)& p101(X) ) ) ))| ~ ( ~ p101(Y)& p100(Y) ) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p2(X)| ~ p101(X) ))| p2(Y) )& ( (! [X] :( ~ r1(Y,X)| p2(X)| ~ p101(X) ))| ~ p2(Y) ) )| ~ p101(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p1(X)| ~ p100(X) ))| p1(Y) )& ( (! [X] :( ~ r1(Y,X)| p1(X)| ~ p100(X) ))| ~ p1(Y) ) )| ~ p100(Y) )& ( p101(Y)| ~ p102(Y) )& ( p100(Y)| ~ p101(Y) ) ) ))& ~ p101(X)& p100(X) ) ) ))),
% 0.12/0.37 inference(negated_conjecture,[status(cth)],[f2])).
% 0.12/0.37 fof(f4,plain,(
% 0.12/0.37 ![X0]: (r1(X0,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f5,plain,(
% 0.12/0.37 ?[X]: ((![Y]: (~r1(X,Y)|p2(Y)))&(((![Y]: (~r1(X,Y)|(((((((?[X]: (r1(Y,X)&((~p2(X)&~p102(X))&p101(X))))&(?[X]: (r1(Y,X)&((p2(X)&~p102(X))&p101(X)))))|(p101(Y)|~p100(Y)))&((((![X]: ((~r1(Y,X)|~p2(X))|~p101(X)))|p2(Y))&((![X]: ((~r1(Y,X)|p2(X))|~p101(X)))|~p2(Y)))|~p101(Y)))&((((![X]: ((~r1(Y,X)|~p1(X))|~p100(X)))|p1(Y))&((![X]: ((~r1(Y,X)|p1(X))|~p100(X)))|~p1(Y)))|~p100(Y)))&(p101(Y)|~p102(Y)))&(p100(Y)|~p101(Y)))))&~p101(X))&p100(X)))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f6,plain,(
% 0.12/0.37 ((![Y]: (~r1(sK0_skl,Y)|p2(Y)))&(((![Y]: (~r1(sK0_skl,Y)|(((((((r1(Y,sK1_skl(Y))&((~p2(sK1_skl(Y))&~p102(sK1_skl(Y)))&p101(sK1_skl(Y))))&(r1(Y,sK2_skl(Y))&((p2(sK2_skl(Y))&~p102(sK2_skl(Y)))&p101(sK2_skl(Y)))))|(p101(Y)|~p100(Y)))&((((![X]: ((~r1(Y,X)|~p2(X))|~p101(X)))|p2(Y))&((![X]: ((~r1(Y,X)|p2(X))|~p101(X)))|~p2(Y)))|~p101(Y)))&((((![X]: ((~r1(Y,X)|~p1(X))|~p100(X)))|p1(Y))&((![X]: ((~r1(Y,X)|p1(X))|~p100(X)))|~p1(Y)))|~p100(Y)))&(p101(Y)|~p102(Y)))&(p100(Y)|~p101(Y)))))&~p101(sK0_skl))&p100(sK0_skl)))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y)),skolemize(X,sK2_skl(Y))],[f5])).
% 0.12/0.37 fof(f7,plain,(
% 0.12/0.37 ![X0]: (~r1(sK0_skl,X0)|p2(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f8,plain,(
% 0.12/0.37 ![X0]: (~r1(sK0_skl,X0)|r1(X0,sK1_skl(X0))|p101(X0)|~p100(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 ![X0]: (~r1(sK0_skl,X0)|~p2(sK1_skl(X0))|p101(X0)|~p100(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 ~p101(sK0_skl)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 p100(sK0_skl)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f24,plain,(
% 0.12/0.37 r1(sK0_skl,sK1_skl(sK0_skl))|p101(sK0_skl)|~p100(sK0_skl)),
% 0.12/0.37 inference(resolution,[status(thm)],[f4,f8])).
% 0.12/0.37 fof(f26,definition,(
% 0.12/0.37 sQ0_spl <=> (r1(sK0_skl,sK1_skl(sK0_skl)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 r1(sK0_skl,sK1_skl(sK0_skl))|~sQ0_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f26])).
% 0.12/0.37 fof(f29,definition,(
% 0.12/0.37 sQ1_spl <=> (p101(sK0_skl))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f30,plain,(
% 0.12/0.37 p101(sK0_skl)|~sQ1_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f29])).
% 0.12/0.37 fof(f32,definition,(
% 0.12/0.37 sQ2_spl <=> (p100(sK0_skl))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f34,plain,(
% 0.12/0.38 ~p100(sK0_skl)|sQ2_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f32])).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 sQ0_spl|sQ1_spl|~sQ2_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f24,f26,f29,f32])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 $false|sQ2_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f34,f23])).
% 0.12/0.38 fof(f37,plain,(
% 0.12/0.38 sQ2_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f36])).
% 0.12/0.38 fof(f39,plain,(
% 0.12/0.38 p2(sK1_skl(sK0_skl))|~sQ0_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f27,f7])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 $false|~sQ1_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f30,f22])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 ~sQ1_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f50])).
% 0.12/0.38 fof(f55,plain,(
% 0.12/0.38 ~r1(sK0_skl,sK0_skl)|p101(sK0_skl)|~p100(sK0_skl)|~sQ0_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f9,f39])).
% 0.12/0.38 fof(f56,definition,(
% 0.12/0.38 sQ6_spl <=> (r1(sK0_skl,sK0_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f58,plain,(
% 0.12/0.38 ~r1(sK0_skl,sK0_skl)|sQ6_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f56])).
% 0.12/0.38 fof(f59,plain,(
% 0.12/0.38 ~sQ6_spl|sQ1_spl|~sQ2_spl|~sQ0_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f55,f56,f29,f32,f26])).
% 0.12/0.38 fof(f60,plain,(
% 0.12/0.38 $false|sQ6_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f58,f4])).
% 0.12/0.38 fof(f61,plain,(
% 0.12/0.38 sQ6_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f60])).
% 0.12/0.38 fof(f62,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f35,f37,f51,f59,f61])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.036966 seconds
% 0.12/0.40 % CPU time: 0.089422 seconds
% 0.12/0.40 % Total memory used: 13.362 MB
% 0.12/0.40 % Net memory used: 13.086 MB
%------------------------------------------------------------------------------