%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS070+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 0.09s 5.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS070+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n010.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 22:53:16 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.38 % Refutation found
% 0.09/5.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.38 fof(f30,axiom,(
% 0.09/5.38 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rrx4(X,Y)& cc2(Y) ))& ~ (? [Y] :( rrx3(X,Y)& cc2(Y)& cc1(Y) ))& (? [Y] :( rrx3(X,Y)& cc1(Y) ) )) ) )),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f31,axiom,(
% 0.09/5.38 (! [X,Y,Z] :( ( rrx(X,Y)& rrx(X,Z) )=> Y = Z ) )),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f36,axiom,(
% 0.09/5.38 cUnsatisfiable(i2003_11_14_17_18_32242) ),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f37,axiom,(
% 0.09/5.38 (! [X,Y] :( rrx3(X,Y)=> rrx(X,Y) ) )),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f44,axiom,(
% 0.09/5.38 (! [X,Y] :( rrx4(X,Y)=> rrx(X,Y) ) )),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f133,plain,(
% 0.09/5.38 ![X]: (cUnsatisfiable(X)<=>(((?[Y]: (rrx4(X,Y)&cc2(Y)))&(![Y]: ((~rrx3(X,Y)|~cc2(Y))|~cc1(Y))))&(?[Y]: (rrx3(X,Y)&cc1(Y)))))),
% 0.09/5.38 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.09/5.38 fof(f134,plain,(
% 0.09/5.38 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rrx4(X,Y)&cc2(Y)))&(![Y]: ((~rrx3(X,Y)|~cc2(Y))|~cc1(Y))))&(?[Y]: (rrx3(X,Y)&cc1(Y)))))&(cUnsatisfiable(X)|(((![Y]: (~rrx4(X,Y)|~cc2(Y)))|(?[Y]: ((rrx3(X,Y)&cc2(Y))&cc1(Y))))|(![Y]: (~rrx3(X,Y)|~cc1(Y))))))),
% 0.09/5.38 inference(NNF_transformation,[status(thm)],[f133])).
% 0.09/5.38 fof(f135,plain,(
% 0.09/5.38 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rrx4(X,Y)&cc2(Y)))&(![Y]: ((~rrx3(X,Y)|~cc2(Y))|~cc1(Y))))&(?[Y]: (rrx3(X,Y)&cc1(Y))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rrx4(X,Y)|~cc2(Y)))|(?[Y]: ((rrx3(X,Y)&cc2(Y))&cc1(Y))))|(![Y]: (~rrx3(X,Y)|~cc1(Y))))))),
% 0.09/5.38 inference(miniscoping,[status(thm)],[f134])).
% 0.09/5.38 fof(f136,plain,(
% 0.09/5.38 (![X]: (~cUnsatisfiable(X)|(((rrx4(X,sK0_skl(X))&cc2(sK0_skl(X)))&(![Y]: ((~rrx3(X,Y)|~cc2(Y))|~cc1(Y))))&(rrx3(X,sK1_skl(X))&cc1(sK1_skl(X))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rrx4(X,Y)|~cc2(Y)))|((rrx3(X,sK2_skl(X))&cc2(sK2_skl(X)))&cc1(sK2_skl(X))))|(![Y]: (~rrx3(X,Y)|~cc1(Y))))))),
% 0.09/5.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f135])).
% 0.09/5.38 fof(f137,plain,(
% 0.09/5.38 ![X0]: (~cUnsatisfiable(X0)|rrx4(X0,sK0_skl(X0)))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f136])).
% 0.09/5.38 fof(f138,plain,(
% 0.09/5.38 ![X0]: (~cUnsatisfiable(X0)|cc2(sK0_skl(X0)))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f136])).
% 0.09/5.38 fof(f139,plain,(
% 0.09/5.38 ![X0,X1]: (~cUnsatisfiable(X0)|~rrx3(X0,X1)|~cc2(X1)|~cc1(X1))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f136])).
% 0.09/5.38 fof(f140,plain,(
% 0.09/5.38 ![X0]: (~cUnsatisfiable(X0)|rrx3(X0,sK1_skl(X0)))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f136])).
% 0.09/5.38 fof(f141,plain,(
% 0.09/5.38 ![X0]: (~cUnsatisfiable(X0)|cc1(sK1_skl(X0)))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f136])).
% 0.09/5.38 fof(f145,plain,(
% 0.09/5.38 ![X,Y,Z]: ((~rrx(X,Y)|~rrx(X,Z))|Y=Z)),
% 0.09/5.38 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.09/5.38 fof(f146,plain,(
% 0.09/5.38 ![Y,Z]: ((![X]: (~rrx(X,Y)|~rrx(X,Z)))|Y=Z)),
% 0.09/5.38 inference(miniscoping,[status(thm)],[f145])).
% 0.09/5.38 fof(f147,plain,(
% 0.09/5.38 ![X0,X1,X2]: (~rrx(X0,X1)|~rrx(X0,X2)|X1=X2)),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f146])).
% 0.09/5.38 fof(f160,plain,(
% 0.09/5.38 cUnsatisfiable(i2003_11_14_17_18_32242)),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/5.38 fof(f161,plain,(
% 0.09/5.38 ![X,Y]: (~rrx3(X,Y)|rrx(X,Y))),
% 0.09/5.38 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.09/5.38 fof(f162,plain,(
% 0.09/5.38 ![X0,X1]: (~rrx3(X0,X1)|rrx(X0,X1))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f161])).
% 0.09/5.38 fof(f175,plain,(
% 0.09/5.38 ![X,Y]: (~rrx4(X,Y)|rrx(X,Y))),
% 0.09/5.38 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.09/5.38 fof(f176,plain,(
% 0.09/5.38 ![X0,X1]: (~rrx4(X0,X1)|rrx(X0,X1))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f175])).
% 0.09/5.38 fof(f178,plain,(
% 0.09/5.38 cc2(sK0_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(resolution,[status(thm)],[f138,f160])).
% 0.09/5.38 fof(f179,plain,(
% 0.09/5.38 rrx4(i2003_11_14_17_18_32242,sK0_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(resolution,[status(thm)],[f137,f160])).
% 0.09/5.38 fof(f180,plain,(
% 0.09/5.38 cc1(sK1_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(resolution,[status(thm)],[f141,f160])).
% 0.09/5.38 fof(f181,plain,(
% 0.09/5.38 ![X0]: (~rrx3(i2003_11_14_17_18_32242,X0)|~cc2(X0)|~cc1(X0))),
% 0.09/5.38 inference(resolution,[status(thm)],[f139,f160])).
% 0.09/5.38 fof(f182,plain,(
% 0.09/5.38 rrx(i2003_11_14_17_18_32242,sK0_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(resolution,[status(thm)],[f179,f176])).
% 0.09/5.38 fof(f184,plain,(
% 0.09/5.38 rrx3(i2003_11_14_17_18_32242,sK1_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(resolution,[status(thm)],[f140,f160])).
% 0.09/5.38 fof(f186,plain,(
% 0.09/5.38 rrx(i2003_11_14_17_18_32242,sK1_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(resolution,[status(thm)],[f184,f162])).
% 0.09/5.38 fof(f187,plain,(
% 0.09/5.38 ![X0]: (~rrx(i2003_11_14_17_18_32242,X0)|X0=sK1_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(resolution,[status(thm)],[f147,f186])).
% 0.09/5.38 fof(f193,plain,(
% 0.09/5.38 sK0_skl(i2003_11_14_17_18_32242)=sK1_skl(i2003_11_14_17_18_32242)),
% 0.09/5.38 inference(resolution,[status(thm)],[f187,f182])).
% 0.09/5.38 fof(f197,plain,(
% 0.09/5.38 rrx3(i2003_11_14_17_18_32242,sK0_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(backward_demodulation,[status(thm)],[f193,f184])).
% 0.09/5.38 fof(f198,plain,(
% 0.09/5.38 cc1(sK0_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(backward_demodulation,[status(thm)],[f193,f180])).
% 0.09/5.38 fof(f209,plain,(
% 0.09/5.38 ~cc2(sK0_skl(i2003_11_14_17_18_32242))|~cc1(sK0_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(resolution,[status(thm)],[f181,f197])).
% 0.09/5.38 fof(f211,plain,(
% 0.09/5.38 ~cc1(sK0_skl(i2003_11_14_17_18_32242))),
% 0.09/5.38 inference(forward_subsumption_resolution,[status(thm)],[f209,f178])).
% 0.09/5.38 fof(f212,plain,(
% 0.09/5.38 $false),
% 0.09/5.38 inference(backward_subsumption_resolution,[status(thm)],[f198,f211])).
% 0.09/5.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.40 % Elapsed time: 0.028736 seconds
% 0.14/5.40 % CPU time: 0.081960 seconds
% 0.14/5.40 % Total memory used: 3.265 MB
% 0.14/5.40 % Net memory used: 3.118 MB
%------------------------------------------------------------------------------