%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET065+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 : n009.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 02:11:24 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET065+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
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 04:48:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (! [X] : subclass(X,universal_class) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f29,axiom,(
% 0.14/0.39 (! [X] :( inductive(X)<=> ( member(null_class,X)& subclass(image(successor_relation,X),X) ) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f30,axiom,(
% 0.14/0.39 (? [X] :( member(X,universal_class)& inductive(X)& (! [Y] :( inductive(Y)=> subclass(X,Y) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f44,conjecture,(
% 0.14/0.39 member(null_class,universal_class) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f45,negated_conjecture,(
% 0.14/0.39 ~(member(null_class,universal_class) )),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f44])).
% 0.14/0.39 fof(f46,plain,(
% 0.14/0.39 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f46])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f47])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 (![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))))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 ![X0]: (subclass(X0,universal_class))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f130,plain,(
% 0.14/0.39 ![X]: ((~inductive(X)|(member(null_class,X)&subclass(image(successor_relation,X),X)))&(inductive(X)|(~member(null_class,X)|~subclass(image(successor_relation,X),X))))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f29])).
% 0.14/0.39 fof(f131,plain,(
% 0.14/0.39 (![X]: (~inductive(X)|(member(null_class,X)&subclass(image(successor_relation,X),X))))&(![X]: (inductive(X)|(~member(null_class,X)|~subclass(image(successor_relation,X),X))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f130])).
% 0.14/0.39 fof(f132,plain,(
% 0.14/0.39 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f131])).
% 0.14/0.39 fof(f135,plain,(
% 0.14/0.39 ?[X]: ((member(X,universal_class)&inductive(X))&(![Y]: (~inductive(Y)|subclass(X,Y))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.14/0.39 fof(f136,plain,(
% 0.14/0.39 ((member(sK1_skl,universal_class)&inductive(sK1_skl))&(![Y]: (~inductive(Y)|subclass(sK1_skl,Y))))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl)],[f135])).
% 0.14/0.39 fof(f138,plain,(
% 0.14/0.39 inductive(sK1_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f136])).
% 0.14/0.39 fof(f191,plain,(
% 0.14/0.39 ~member(null_class,universal_class)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.39 fof(f199,plain,(
% 0.14/0.39 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.14/0.39 inference(resolution,[status(thm)],[f53,f50])).
% 0.14/0.39 fof(f201,plain,(
% 0.14/0.39 member(null_class,sK1_skl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f132,f138])).
% 0.14/0.39 fof(f208,plain,(
% 0.14/0.39 member(null_class,universal_class)),
% 0.14/0.39 inference(resolution,[status(thm)],[f199,f201])).
% 0.14/0.39 fof(f212,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f208,f191])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.047696 seconds
% 0.14/0.42 % CPU time: 0.118849 seconds
% 0.14/0.42 % Total memory used: 55.540 MB
% 0.14/0.42 % Net memory used: 55.486 MB
%------------------------------------------------------------------------------