%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET045+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 : 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 02:11:20 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 : SET045+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
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:47:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % 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 (! [Z] :(? [Y] :(! [X] :( element(X,Y)<=> ( element(X,Z)& ~ element(X,X) ) ) )))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,conjecture,(
% 0.10/0.40 ~ (? [Z] :(! [X] : element(X,Z) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,negated_conjecture,(
% 0.10/0.40 ~(~ (? [Z] :(! [X] : element(X,Z) )))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f2])).
% 0.10/0.40 fof(f4,plain,(
% 0.10/0.40 ![Z]: ?[Y]: ![X]: ((~element(X,Y)|(element(X,Z)&~element(X,X)))&(element(X,Y)|(~element(X,Z)|element(X,X))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f5,plain,(
% 0.10/0.40 ![Z]: ?[Y]: ((![X]: (~element(X,Y)|(element(X,Z)&~element(X,X))))&(![X]: (element(X,Y)|(~element(X,Z)|element(X,X)))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.40 fof(f6,plain,(
% 0.10/0.40 ![Z]: ((![X]: (~element(X,sK0_skl(Z))|(element(X,Z)&~element(X,X))))&(![X]: (element(X,sK0_skl(Z))|(~element(X,Z)|element(X,X)))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(Z))],[f5])).
% 0.10/0.40 fof(f8,plain,(
% 0.10/0.40 ![X0,X1]: (~element(X0,sK0_skl(X1))|~element(X0,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f9,plain,(
% 0.10/0.40 ![X0,X1]: (element(X0,sK0_skl(X1))|~element(X0,X1)|element(X0,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f10,plain,(
% 0.10/0.40 ![X]: element(X,sK1_skl)),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Z,sK1_skl)],[f3])).
% 0.10/0.40 fof(f11,plain,(
% 0.10/0.40 ![X0]: (element(X0,sK1_skl))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.40 fof(f12,plain,(
% 0.10/0.40 ![X0]: (element(X0,sK0_skl(sK1_skl))|element(X0,X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f9,f11])).
% 0.10/0.40 fof(f19,plain,(
% 0.10/0.40 ![X0]: (element(sK0_skl(X0),sK0_skl(sK1_skl))|~element(sK0_skl(X0),sK0_skl(X0)))),
% 0.10/0.40 inference(resolution,[status(thm)],[f12,f8])).
% 0.10/0.40 fof(f30,plain,(
% 0.10/0.40 ![X0]: (~element(sK0_skl(X0),sK0_skl(X0)))),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f19,f8])).
% 0.10/0.40 fof(f31,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(resolution,[status(thm)],[f30,f12])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.048408 seconds
% 0.10/0.43 % CPU time: 0.115903 seconds
% 0.10/0.43 % Total memory used: 16.469 MB
% 0.10/0.43 % Net memory used: 15.925 MB
%------------------------------------------------------------------------------