%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET044+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:11:19 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n004.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 04:47:20 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f1,conjecture,(
% 0.19/0.49 ( (? [Y] :(! [X] :( element(X,Y)<=> element(X,X) )))=> ~ (! [X1] :(? [Y1] :(! [Z] :( element(Z,Y1)<=> ~ element(Z,X1) ) )))) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f2,negated_conjecture,(
% 0.19/0.49 ~(( (? [Y] :(! [X] :( element(X,Y)<=> element(X,X) )))=> ~ (! [X1] :(? [Y1] :(! [Z] :( element(Z,Y1)<=> ~ element(Z,X1) ) )))) )),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.49 fof(f3,plain,(
% 0.19/0.49 ((?[Y]: ![X]: (element(X,Y)<=>element(X,X)))&(![X1]: ?[Y1]: ![Z]: (element(Z,Y1)<=>~element(Z,X1))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.19/0.49 fof(f4,plain,(
% 0.19/0.49 (?[Y]: ![X]: ((~element(X,Y)|element(X,X))&(element(X,Y)|~element(X,X))))&(![X1]: ?[Y1]: ![Z]: ((~element(Z,Y1)|~element(Z,X1))&(element(Z,Y1)|element(Z,X1))))),
% 0.19/0.49 inference(NNF_transformation,[status(thm)],[f3])).
% 0.19/0.49 fof(f5,plain,(
% 0.19/0.49 (?[Y]: ((![X]: (~element(X,Y)|element(X,X)))&(![X]: (element(X,Y)|~element(X,X)))))&(![X1]: ?[Y1]: ((![Z]: (~element(Z,Y1)|~element(Z,X1)))&(![Z]: (element(Z,Y1)|element(Z,X1)))))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f4])).
% 0.19/0.49 fof(f6,plain,(
% 0.19/0.49 ((![X]: (~element(X,sK0_skl)|element(X,X)))&(![X]: (element(X,sK0_skl)|~element(X,X))))&(![X1]: ((![Z]: (~element(Z,sK1_skl(X1))|~element(Z,X1)))&(![Z]: (element(Z,sK1_skl(X1))|element(Z,X1)))))),
% 0.19/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(Y1,sK1_skl(X1))],[f5])).
% 0.19/0.49 fof(f7,plain,(
% 0.19/0.49 ![X0]: (~element(X0,sK0_skl)|element(X0,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.19/0.49 fof(f8,plain,(
% 0.19/0.49 ![X0]: (element(X0,sK0_skl)|~element(X0,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.19/0.49 fof(f9,plain,(
% 0.19/0.49 ![X0,X1]: (~element(X0,sK1_skl(X1))|~element(X0,X1))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.19/0.49 fof(f10,plain,(
% 0.19/0.49 ![X0,X1]: (element(X0,sK1_skl(X1))|element(X0,X1))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.19/0.49 fof(f12,plain,(
% 0.19/0.49 ![X0]: (element(sK1_skl(X0),X0)|element(sK1_skl(X0),sK0_skl))),
% 0.19/0.49 inference(resolution,[status(thm)],[f10,f8])).
% 0.19/0.49 fof(f14,plain,(
% 0.19/0.49 element(sK1_skl(sK0_skl),sK1_skl(sK0_skl))),
% 0.19/0.49 inference(resolution,[status(thm)],[f12,f7])).
% 0.19/0.49 fof(f25,plain,(
% 0.19/0.49 ~element(sK1_skl(sK0_skl),sK0_skl)),
% 0.19/0.49 inference(resolution,[status(thm)],[f14,f9])).
% 0.19/0.49 fof(f26,plain,(
% 0.19/0.49 element(sK1_skl(sK0_skl),sK0_skl)),
% 0.19/0.49 inference(resolution,[status(thm)],[f14,f8])).
% 0.19/0.49 fof(f30,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f25,f26])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.55 % Elapsed time: 0.075229 seconds
% 0.23/0.55 % CPU time: 0.054485 seconds
% 0.23/0.55 % Total memory used: 516.464 KB
% 0.23/0.55 % Net memory used: 514.144 KB
%------------------------------------------------------------------------------