%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS096+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:00:15 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS096+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:51:37 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.39 fof(f12,axiom,(
% 0.02/0.39 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& cc(Y) ))& (? [Y] :( rr(X,Y)& cd(Y) ))& (! [Y0,Y1] :( ( rr(X,Y0)& rr(X,Y1) )=> Y0 = Y1 ) )) ) )),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f13,axiom,(
% 0.02/0.39 (! [X] :( cc(X)=> ~ cd(X) ) )),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f14,axiom,(
% 0.02/0.39 cUnsatisfiable(i2003_11_14_17_20_18265) ),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f49,plain,(
% 0.02/0.39 ![X]: (cUnsatisfiable(X)<=>(((?[Y]: (rr(X,Y)&cc(Y)))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.02/0.39 fof(f50,plain,(
% 0.02/0.39 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&cc(Y)))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))))&(cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cc(Y)))|(![Y]: (~rr(X,Y)|~cd(Y))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))))),
% 0.02/0.39 inference(NNF_transformation,[status(thm)],[f49])).
% 0.02/0.39 fof(f51,plain,(
% 0.02/0.39 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&cc(Y)))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cc(Y)))|(![Y]: (~rr(X,Y)|~cd(Y))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))))),
% 0.02/0.39 inference(miniscoping,[status(thm)],[f50])).
% 0.02/0.39 fof(f52,plain,(
% 0.02/0.39 (![X]: (~cUnsatisfiable(X)|(((rr(X,sK0_skl(X))&cc(sK0_skl(X)))&(rr(X,sK1_skl(X))&cd(sK1_skl(X))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cc(Y)))|(![Y]: (~rr(X,Y)|~cd(Y))))|((rr(X,sK2_skl(X))&rr(X,sK3_skl(X)))&~sK2_skl(X)=sK3_skl(X)))))),
% 0.02/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y0,sK2_skl(X)),skolemize(Y1,sK3_skl(X))],[f51])).
% 0.02/0.39 fof(f53,plain,(
% 0.02/0.39 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.02/0.39 fof(f54,plain,(
% 0.02/0.39 ![X0]: (~cUnsatisfiable(X0)|cc(sK0_skl(X0)))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.02/0.39 fof(f55,plain,(
% 0.02/0.39 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK1_skl(X0)))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.02/0.39 fof(f56,plain,(
% 0.02/0.39 ![X0]: (~cUnsatisfiable(X0)|cd(sK1_skl(X0)))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.02/0.39 fof(f57,plain,(
% 0.02/0.39 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rr(X0,X1)|~rr(X0,X2)|X1=X2)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.02/0.39 fof(f61,plain,(
% 0.02/0.39 ![X]: (~cc(X)|~cd(X))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.02/0.39 fof(f62,plain,(
% 0.02/0.39 ![X0]: (~cc(X0)|~cd(X0))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f61])).
% 0.02/0.39 fof(f63,plain,(
% 0.02/0.39 cUnsatisfiable(i2003_11_14_17_20_18265)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.02/0.39 fof(f65,plain,(
% 0.02/0.39 ![X0]: (~cUnsatisfiable(X0)|~cd(sK0_skl(X0)))),
% 0.02/0.39 inference(resolution,[status(thm)],[f54,f62])).
% 0.02/0.39 fof(f66,plain,(
% 0.02/0.39 ![X0,X1]: (~rr(i2003_11_14_17_20_18265,X0)|~rr(i2003_11_14_17_20_18265,X1)|X0=X1)),
% 0.02/0.39 inference(resolution,[status(thm)],[f57,f63])).
% 0.02/0.39 fof(f67,plain,(
% 0.02/0.39 ![X0]: (~rr(i2003_11_14_17_20_18265,X0)|X0=sK1_skl(i2003_11_14_17_20_18265)|~cUnsatisfiable(i2003_11_14_17_20_18265))),
% 0.02/0.39 inference(resolution,[status(thm)],[f66,f55])).
% 0.02/0.39 fof(f69,plain,(
% 0.02/0.39 ![X0]: (~rr(i2003_11_14_17_20_18265,X0)|X0=sK1_skl(i2003_11_14_17_20_18265))),
% 0.02/0.39 inference(forward_subsumption_resolution,[status(thm)],[f67,f63])).
% 0.02/0.39 fof(f72,plain,(
% 0.02/0.39 sK0_skl(i2003_11_14_17_20_18265)=sK1_skl(i2003_11_14_17_20_18265)|~cUnsatisfiable(i2003_11_14_17_20_18265)),
% 0.02/0.39 inference(resolution,[status(thm)],[f69,f53])).
% 0.02/0.39 fof(f74,plain,(
% 0.02/0.39 sK0_skl(i2003_11_14_17_20_18265)=sK1_skl(i2003_11_14_17_20_18265)),
% 0.02/0.39 inference(forward_subsumption_resolution,[status(thm)],[f72,f63])).
% 0.02/0.39 fof(f77,plain,(
% 0.02/0.39 ~cUnsatisfiable(i2003_11_14_17_20_18265)|~cd(sK1_skl(i2003_11_14_17_20_18265))),
% 0.02/0.39 inference(paramodulation,[status(thm)],[f74,f65])).
% 0.02/0.39 fof(f79,plain,(
% 0.02/0.39 ~cd(sK1_skl(i2003_11_14_17_20_18265))),
% 0.02/0.39 inference(forward_subsumption_resolution,[status(thm)],[f77,f63])).
% 0.02/0.39 fof(f81,plain,(
% 0.02/0.39 ~cUnsatisfiable(i2003_11_14_17_20_18265)),
% 0.02/0.39 inference(resolution,[status(thm)],[f79,f56])).
% 0.02/0.39 fof(f82,plain,(
% 0.02/0.39 $false),
% 0.02/0.39 inference(forward_subsumption_resolution,[status(thm)],[f81,f63])).
% 0.02/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.41 % Elapsed time: 0.040953 seconds
% 0.02/0.41 % CPU time: 0.080599 seconds
% 0.02/0.41 % Total memory used: 1.826 MB
% 0.02/0.41 % Net memory used: 1.751 MB
%------------------------------------------------------------------------------