%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN089+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:57:29 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 : NUN089+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.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 03:27:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % 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(f11,axiom,(
% 0.10/0.40 (! [X7,Y10] :( (! [Y20] :( ~ r1(Y20)| Y20 != Y10 ))| ~ r2(X7,Y10) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f12,conjecture,(
% 0.10/0.40 (! [Y1] :( (! [Y2] :( (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y2) ))| ~ r2(Y2,Y1) ))| (! [Y4] :( Y4 != Y1| ~ r1(Y4) ) )) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f13,negated_conjecture,(
% 0.10/0.40 ~((! [Y1] :( (! [Y2] :( (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y2) ))| ~ r2(Y2,Y1) ))| (! [Y4] :( Y4 != Y1| ~ r1(Y4) ) )) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f12])).
% 0.10/0.40 fof(f62,plain,(
% 0.10/0.40 ![Y10]: ((![Y20]: (~r1(Y20)|~Y20=Y10))|(![X7]: ~r2(X7,Y10)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f11])).
% 0.10/0.40 fof(f63,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~r1(X0)|~X0=X1|~r2(X2,X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f62])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 (?[Y1]: ((?[Y2]: ((?[Y3]: (r1(Y3)&r2(Y3,Y2)))&r2(Y2,Y1)))&(?[Y4]: (Y4=Y1&r1(Y4)))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.10/0.40 fof(f65,plain,(
% 0.10/0.40 (((r1(sK22_skl)&r2(sK22_skl,sK21_skl))&r2(sK21_skl,sK20_skl))&(sK23_skl=sK20_skl&r1(sK23_skl)))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl]),skolemize(Y1,sK20_skl),skolemize(Y2,sK21_skl),skolemize(Y3,sK22_skl),skolemize(Y4,sK23_skl)],[f64])).
% 0.10/0.40 fof(f68,plain,(
% 0.10/0.40 r2(sK21_skl,sK20_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.10/0.40 fof(f69,plain,(
% 0.10/0.40 sK23_skl=sK20_skl),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.10/0.40 fof(f70,plain,(
% 0.10/0.40 r1(sK23_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.10/0.40 fof(f97,plain,(
% 0.10/0.40 ![X0,X1]: (~r1(X0)|~r2(X1,X0))),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 0.10/0.40 fof(f103,plain,(
% 0.10/0.40 r2(sK21_skl,sK23_skl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f69,f68])).
% 0.10/0.40 fof(f106,plain,(
% 0.10/0.40 ~r1(sK23_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f97,f103])).
% 0.10/0.40 fof(f108,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f106,f70])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.047042 seconds
% 0.10/0.43 % CPU time: 0.138435 seconds
% 0.10/0.43 % Total memory used: 92.730 MB
% 0.10/0.43 % Net memory used: 92.665 MB
%------------------------------------------------------------------------------