%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS071+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 : n001.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 01:00:12 PM UTC 2026
% Result : Unsatisfiable 0.11s 10.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS071+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
% 0.11/10.37 % Computer : n001.cluster.edu
% 0.11/10.37 % Model : x86_64 x86_64
% 0.11/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.37 % Memory : 8046.5625MB
% 0.11/10.37 % OS : Linux 6.8.0-71-generic
% 0.11/10.37 % CPULimit : 300
% 0.11/10.37 % WCLimit : 300
% 0.11/10.37 % DateTime : Sun Sep 20 22:58:38 UTC 2026
% 0.11/10.37 % CPUTime :
% 0.11/10.38 % Drodi V4.1.1
% 0.11/10.39 % Refutation found
% 0.11/10.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/10.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/10.39 fof(f17,axiom,(
% 0.11/10.39 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& cp1(Y) ))& (? [Y] :( rr(X,Y)& cp2(Y) ))& (? [Y] :( rr(X,Y)& cp3(Y) ))& (! [Y0,Y1,Y2] :( ( rr(X,Y0)& rr(X,Y1)& rr(X,Y2) )=> ( Y0 = Y1| Y0 = Y2| Y1 = Y2 ) ) )) ) )),
% 0.11/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/10.39 fof(f18,axiom,(
% 0.11/10.39 (! [X] :( cp1(X)=> ~ ( cp4(X)| cp2(X)| cp3(X)| cp5(X) ) ) )),
% 0.11/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/10.39 fof(f19,axiom,(
% 0.11/10.39 (! [X] :( cp2(X)=> ~ ( cp4(X)| cp3(X)| cp5(X) ) ) )),
% 0.11/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/10.39 fof(f23,axiom,(
% 0.11/10.39 cUnsatisfiable(i2003_11_14_17_18_39380) ),
% 0.11/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/10.39 fof(f73,plain,(
% 0.11/10.39 ![X]: (cUnsatisfiable(X)<=>((((?[Y]: (rr(X,Y)&cp1(Y)))&(?[Y]: (rr(X,Y)&cp2(Y))))&(?[Y]: (rr(X,Y)&cp3(Y))))&(![Y0,Y1,Y2]: (((~rr(X,Y0)|~rr(X,Y1))|~rr(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2)))))),
% 0.11/10.39 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.11/10.39 fof(f74,plain,(
% 0.11/10.39 ![X]: ((~cUnsatisfiable(X)|((((?[Y]: (rr(X,Y)&cp1(Y)))&(?[Y]: (rr(X,Y)&cp2(Y))))&(?[Y]: (rr(X,Y)&cp3(Y))))&(![Y0,Y1,Y2]: (((~rr(X,Y0)|~rr(X,Y1))|~rr(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2)))))&(cUnsatisfiable(X)|((((![Y]: (~rr(X,Y)|~cp1(Y)))|(![Y]: (~rr(X,Y)|~cp2(Y))))|(![Y]: (~rr(X,Y)|~cp3(Y))))|(?[Y0,Y1,Y2]: (((rr(X,Y0)&rr(X,Y1))&rr(X,Y2))&((~Y0=Y1&~Y0=Y2)&~Y1=Y2))))))),
% 0.11/10.39 inference(NNF_transformation,[status(thm)],[f73])).
% 0.11/10.39 fof(f75,plain,(
% 0.11/10.39 (![X]: (~cUnsatisfiable(X)|((((?[Y]: (rr(X,Y)&cp1(Y)))&(?[Y]: (rr(X,Y)&cp2(Y))))&(?[Y]: (rr(X,Y)&cp3(Y))))&(![Y0,Y1,Y2]: (((~rr(X,Y0)|~rr(X,Y1))|~rr(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2))))))&(![X]: (cUnsatisfiable(X)|((((![Y]: (~rr(X,Y)|~cp1(Y)))|(![Y]: (~rr(X,Y)|~cp2(Y))))|(![Y]: (~rr(X,Y)|~cp3(Y))))|(?[Y0,Y1,Y2]: (((rr(X,Y0)&rr(X,Y1))&rr(X,Y2))&((~Y0=Y1&~Y0=Y2)&~Y1=Y2))))))),
% 0.11/10.39 inference(miniscoping,[status(thm)],[f74])).
% 0.11/10.39 fof(f76,plain,(
% 0.11/10.39 (![X]: (~cUnsatisfiable(X)|((((rr(X,sK0_skl(X))&cp1(sK0_skl(X)))&(rr(X,sK1_skl(X))&cp2(sK1_skl(X))))&(rr(X,sK2_skl(X))&cp3(sK2_skl(X))))&(![Y0,Y1,Y2]: (((~rr(X,Y0)|~rr(X,Y1))|~rr(X,Y2))|((Y0=Y1|Y0=Y2)|Y1=Y2))))))&(![X]: (cUnsatisfiable(X)|((((![Y]: (~rr(X,Y)|~cp1(Y)))|(![Y]: (~rr(X,Y)|~cp2(Y))))|(![Y]: (~rr(X,Y)|~cp3(Y))))|(((rr(X,sK3_skl(X))&rr(X,sK4_skl(X)))&rr(X,sK5_skl(X)))&((~sK3_skl(X)=sK4_skl(X)&~sK3_skl(X)=sK5_skl(X))&~sK4_skl(X)=sK5_skl(X))))))),
% 0.11/10.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X)),skolemize(Y0,sK3_skl(X)),skolemize(Y1,sK4_skl(X)),skolemize(Y2,sK5_skl(X))],[f75])).
% 0.11/10.39 fof(f77,plain,(
% 0.11/10.39 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/10.39 fof(f78,plain,(
% 0.11/10.39 ![X0]: (~cUnsatisfiable(X0)|cp1(sK0_skl(X0)))),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/10.39 fof(f79,plain,(
% 0.11/10.39 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK1_skl(X0)))),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/10.39 fof(f80,plain,(
% 0.11/10.39 ![X0]: (~cUnsatisfiable(X0)|cp2(sK1_skl(X0)))),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/10.39 fof(f81,plain,(
% 0.11/10.39 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK2_skl(X0)))),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/10.39 fof(f82,plain,(
% 0.11/10.39 ![X0]: (~cUnsatisfiable(X0)|cp3(sK2_skl(X0)))),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/10.39 fof(f83,plain,(
% 0.11/10.39 ![X0,X1,X2,X3]: (~cUnsatisfiable(X0)|~rr(X0,X1)|~rr(X0,X2)|~rr(X0,X3)|X1=X2|X1=X3|X2=X3)),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/10.39 fof(f90,plain,(
% 0.11/10.39 ![X]: (~cp1(X)|(((~cp4(X)&~cp2(X))&~cp3(X))&~cp5(X)))),
% 0.11/10.39 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.11/10.39 fof(f92,plain,(
% 0.11/10.39 ![X0]: (~cp1(X0)|~cp2(X0))),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f90])).
% 0.11/10.39 fof(f93,plain,(
% 0.11/10.39 ![X0]: (~cp1(X0)|~cp3(X0))),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f90])).
% 0.11/10.39 fof(f95,plain,(
% 0.11/10.39 ![X]: (~cp2(X)|((~cp4(X)&~cp3(X))&~cp5(X)))),
% 0.11/10.39 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.11/10.39 fof(f97,plain,(
% 0.11/10.39 ![X0]: (~cp2(X0)|~cp3(X0))),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.11/10.39 fof(f108,plain,(
% 0.11/10.39 cUnsatisfiable(i2003_11_14_17_18_39380)),
% 0.11/10.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/10.39 fof(f110,plain,(
% 0.11/10.39 cp1(sK0_skl(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(resolution,[status(thm)],[f78,f108])).
% 0.11/10.39 fof(f112,plain,(
% 0.11/10.39 ~cp3(sK0_skl(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(resolution,[status(thm)],[f110,f93])).
% 0.11/10.39 fof(f113,plain,(
% 0.11/10.39 ~cp2(sK0_skl(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(resolution,[status(thm)],[f110,f92])).
% 0.11/10.39 fof(f115,plain,(
% 0.11/10.39 cp2(sK1_skl(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(resolution,[status(thm)],[f80,f108])).
% 0.11/10.39 fof(f117,plain,(
% 0.11/10.39 ~cp3(sK1_skl(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(resolution,[status(thm)],[f115,f97])).
% 0.11/10.39 fof(f119,plain,(
% 0.11/10.39 cp3(sK2_skl(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(resolution,[status(thm)],[f82,f108])).
% 0.11/10.39 fof(f122,plain,(
% 0.11/10.39 ![X0,X1,X2]: (~rr(i2003_11_14_17_18_39380,X0)|~rr(i2003_11_14_17_18_39380,X1)|~rr(i2003_11_14_17_18_39380,X2)|X0=X1|X0=X2|X1=X2)),
% 0.11/10.39 inference(resolution,[status(thm)],[f83,f108])).
% 0.11/10.39 fof(f125,plain,(
% 0.11/10.39 ![X0,X1]: (~rr(i2003_11_14_17_18_39380,X0)|~rr(i2003_11_14_17_18_39380,X1)|X0=sK2_skl(i2003_11_14_17_18_39380)|X0=X1|sK2_skl(i2003_11_14_17_18_39380)=X1|~cUnsatisfiable(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(resolution,[status(thm)],[f122,f81])).
% 0.11/10.39 fof(f133,plain,(
% 0.11/10.39 ![X0,X1]: (~rr(i2003_11_14_17_18_39380,X0)|~rr(i2003_11_14_17_18_39380,X1)|X0=sK2_skl(i2003_11_14_17_18_39380)|X0=X1|sK2_skl(i2003_11_14_17_18_39380)=X1)),
% 0.11/10.39 inference(forward_subsumption_resolution,[status(thm)],[f125,f108])).
% 0.11/10.39 fof(f137,plain,(
% 0.11/10.39 ![X0]: (~rr(i2003_11_14_17_18_39380,X0)|X0=sK2_skl(i2003_11_14_17_18_39380)|X0=sK1_skl(i2003_11_14_17_18_39380)|sK2_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380)|~cUnsatisfiable(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(resolution,[status(thm)],[f133,f79])).
% 0.11/10.39 fof(f139,plain,(
% 0.11/10.39 ![X0]: (~rr(i2003_11_14_17_18_39380,X0)|X0=sK2_skl(i2003_11_14_17_18_39380)|X0=sK1_skl(i2003_11_14_17_18_39380)|sK2_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(forward_subsumption_resolution,[status(thm)],[f137,f108])).
% 0.11/10.39 fof(f151,plain,(
% 0.11/10.39 sK0_skl(i2003_11_14_17_18_39380)=sK2_skl(i2003_11_14_17_18_39380)|sK0_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380)|sK2_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380)|~cUnsatisfiable(i2003_11_14_17_18_39380)),
% 0.11/10.39 inference(resolution,[status(thm)],[f139,f77])).
% 0.11/10.39 fof(f152,plain,(
% 0.11/10.39 sK0_skl(i2003_11_14_17_18_39380)=sK2_skl(i2003_11_14_17_18_39380)|sK0_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380)|sK2_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380)),
% 0.11/10.39 inference(forward_subsumption_resolution,[status(thm)],[f151,f108])).
% 0.11/10.39 fof(f161,plain,(
% 0.11/10.39 ~cp2(sK1_skl(i2003_11_14_17_18_39380))|sK0_skl(i2003_11_14_17_18_39380)=sK2_skl(i2003_11_14_17_18_39380)|sK2_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380)),
% 0.11/10.39 inference(paramodulation,[status(thm)],[f152,f113])).
% 0.11/10.39 fof(f167,plain,(
% 0.11/10.39 sK0_skl(i2003_11_14_17_18_39380)=sK2_skl(i2003_11_14_17_18_39380)|sK2_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380)),
% 0.11/10.39 inference(forward_subsumption_resolution,[status(thm)],[f161,f115])).
% 0.11/10.39 fof(f170,plain,(
% 0.11/10.39 ~cp3(sK2_skl(i2003_11_14_17_18_39380))|sK2_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380)),
% 0.11/10.39 inference(paramodulation,[status(thm)],[f167,f112])).
% 0.11/10.39 fof(f179,plain,(
% 0.11/10.39 ~cp3(sK2_skl(i2003_11_14_17_18_39380))),
% 0.11/10.39 inference(backward_demodulation,[status(thm)],[f183,f117])).
% 0.11/10.39 fof(f183,plain,(
% 0.11/10.39 sK2_skl(i2003_11_14_17_18_39380)=sK1_skl(i2003_11_14_17_18_39380)),
% 0.11/10.39 inference(forward_subsumption_resolution,[status(thm)],[f170,f119])).
% 0.11/10.39 fof(f186,plain,(
% 0.11/10.39 $false),
% 0.11/10.39 inference(forward_subsumption_resolution,[status(thm)],[f179,f119])).
% 0.11/10.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.41 % Elapsed time: 0.027807 seconds
% 0.14/10.41 % CPU time: 0.092037 seconds
% 0.14/10.41 % Total memory used: 3.234 MB
% 0.14/10.41 % Net memory used: 3.133 MB
%------------------------------------------------------------------------------