%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 02:11:16 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:46:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,axiom,(
% 0.10/0.40 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f44,conjecture,(
% 0.10/0.40 (! [X,Y,Z] :( ( subclass(X,Y)& subclass(Y,Z) )=> subclass(X,Z) ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f45,negated_conjecture,(
% 0.10/0.40 ~((! [X,Y,Z] :( ( subclass(X,Y)& subclass(Y,Z) )=> subclass(X,Z) ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f44])).
% 0.10/0.40 fof(f46,plain,(
% 0.10/0.40 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f47,plain,(
% 0.10/0.40 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f46])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f47])).
% 0.10/0.40 fof(f49,plain,(
% 0.10/0.40 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(member(sK0_skl(Y,X),X)&~member(sK0_skl(Y,X),Y))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48])).
% 0.10/0.40 fof(f50,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.10/0.40 fof(f51,plain,(
% 0.10/0.40 ![X0,X1]: (subclass(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.10/0.40 fof(f52,plain,(
% 0.10/0.40 ![X0,X1]: (subclass(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.10/0.40 fof(f191,plain,(
% 0.10/0.40 (?[X,Y,Z]: ((subclass(X,Y)&subclass(Y,Z))&~subclass(X,Z)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.10/0.40 fof(f192,plain,(
% 0.10/0.40 ?[X,Z]: ((?[Y]: (subclass(X,Y)&subclass(Y,Z)))&~subclass(X,Z))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f191])).
% 0.10/0.40 fof(f193,plain,(
% 0.10/0.40 ((subclass(sK7_skl,sK9_skl)&subclass(sK9_skl,sK8_skl))&~subclass(sK7_skl,sK8_skl))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(X,sK7_skl),skolemize(Z,sK8_skl),skolemize(Y,sK9_skl)],[f192])).
% 0.10/0.41 fof(f194,plain,(
% 0.10/0.41 subclass(sK7_skl,sK9_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.41 fof(f195,plain,(
% 0.10/0.41 subclass(sK9_skl,sK8_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.41 fof(f196,plain,(
% 0.10/0.41 ~subclass(sK7_skl,sK8_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.41 fof(f203,plain,(
% 0.10/0.41 ![X0]: (~member(X0,sK9_skl)|member(X0,sK8_skl))),
% 0.10/0.41 inference(resolution,[status(thm)],[f50,f195])).
% 0.10/0.41 fof(f204,plain,(
% 0.10/0.41 ![X0]: (~member(X0,sK7_skl)|member(X0,sK9_skl))),
% 0.10/0.41 inference(resolution,[status(thm)],[f50,f194])).
% 0.10/0.41 fof(f254,plain,(
% 0.10/0.41 ![X0]: (member(sK0_skl(X0,sK7_skl),sK9_skl)|subclass(sK7_skl,X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f204,f51])).
% 0.10/0.41 fof(f262,plain,(
% 0.10/0.41 ![X0]: (subclass(sK7_skl,X0)|member(sK0_skl(X0,sK7_skl),sK8_skl))),
% 0.10/0.41 inference(resolution,[status(thm)],[f254,f203])).
% 0.10/0.41 fof(f271,plain,(
% 0.10/0.41 subclass(sK7_skl,sK8_skl)|subclass(sK7_skl,sK8_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f262,f52])).
% 0.10/0.41 fof(f273,definition,(
% 0.10/0.41 sQ6_spl <=> (subclass(sK7_skl,sK8_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f274,plain,(
% 0.10/0.41 subclass(sK7_skl,sK8_skl)|~sQ6_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f273])).
% 0.10/0.41 fof(f276,plain,(
% 0.10/0.41 sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f271,f273])).
% 0.10/0.41 fof(f277,plain,(
% 0.10/0.41 $false|~sQ6_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f274,f196])).
% 0.10/0.41 fof(f278,plain,(
% 0.10/0.41 ~sQ6_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f277])).
% 0.10/0.41 fof(f279,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f276,f278])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.050621 seconds
% 0.14/0.43 % CPU time: 0.133346 seconds
% 0.14/0.43 % Total memory used: 65.515 MB
% 0.14/0.43 % Net memory used: 65.446 MB
%------------------------------------------------------------------------------