%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS111+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 : n005.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 01:00:16 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS111+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 22:53:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f24,axiom,(
% 0.13/0.37 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rf1(X,Y)& cpxcomp(Y) ))& (? [Y] :( rs(X,Y)& cowlThing(Y) ))& (? [Y] :( rf(X,Y)& cp(Y) ) )) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f25,axiom,(
% 0.13/0.37 (! [X] :( cp(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f26,axiom,(
% 0.13/0.37 (! [X] :( cpxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f27,axiom,(
% 0.13/0.37 (! [X,Y,Z] :( ( rf(X,Y)& rf(X,Z) )=> Y = Z ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f28,axiom,(
% 0.13/0.37 (! [X,Y,Z] :( ( rf1(X,Y)& rf1(X,Z) )=> Y = Z ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f33,axiom,(
% 0.13/0.37 cUnsatisfiable(i2003_11_14_17_21_15425) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f34,axiom,(
% 0.13/0.37 (! [X,Y] :( rs(X,Y)=> rf(X,Y) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f35,axiom,(
% 0.13/0.37 (! [X,Y] :( rs(X,Y)=> rf1(X,Y) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f106,plain,(
% 0.13/0.37 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rf1(X,Y)&cpxcomp(Y)))&(?[Y]: (rs(X,Y)&cowlThing(Y))))&(?[Y]: (rf(X,Y)&cp(Y)))))&(cUnsatisfiable(X)|(((![Y]: (~rf1(X,Y)|~cpxcomp(Y)))|(![Y]: (~rs(X,Y)|~cowlThing(Y))))|(![Y]: (~rf(X,Y)|~cp(Y))))))),
% 0.13/0.37 inference(NNF_transformation,[status(thm)],[f24])).
% 0.13/0.37 fof(f107,plain,(
% 0.13/0.37 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rf1(X,Y)&cpxcomp(Y)))&(?[Y]: (rs(X,Y)&cowlThing(Y))))&(?[Y]: (rf(X,Y)&cp(Y))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf1(X,Y)|~cpxcomp(Y)))|(![Y]: (~rs(X,Y)|~cowlThing(Y))))|(![Y]: (~rf(X,Y)|~cp(Y))))))),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f106])).
% 0.13/0.37 fof(f108,plain,(
% 0.13/0.37 (![X]: (~cUnsatisfiable(X)|(((rf1(X,sK0_skl(X))&cpxcomp(sK0_skl(X)))&(rs(X,sK1_skl(X))&cowlThing(sK1_skl(X))))&(rf(X,sK2_skl(X))&cp(sK2_skl(X))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf1(X,Y)|~cpxcomp(Y)))|(![Y]: (~rs(X,Y)|~cowlThing(Y))))|(![Y]: (~rf(X,Y)|~cp(Y))))))),
% 0.13/0.37 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))],[f107])).
% 0.13/0.37 fof(f109,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(X0)|rf1(X0,sK0_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f108])).
% 0.13/0.37 fof(f110,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(X0)|cpxcomp(sK0_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f108])).
% 0.13/0.37 fof(f111,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(X0)|rs(X0,sK1_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f108])).
% 0.13/0.37 fof(f113,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(X0)|rf(X0,sK2_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f108])).
% 0.13/0.37 fof(f114,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(X0)|cp(sK2_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f108])).
% 0.13/0.37 fof(f116,plain,(
% 0.13/0.37 ![X]: (cp(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.13/0.37 fof(f117,plain,(
% 0.13/0.37 ![X]: ((~cp(X)|(![Y]: ~ra_Px1(X,Y)))&(cp(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.13/0.37 inference(NNF_transformation,[status(thm)],[f116])).
% 0.13/0.37 fof(f118,plain,(
% 0.13/0.37 (![X]: (~cp(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f117])).
% 0.13/0.37 fof(f119,plain,(
% 0.13/0.37 (![X]: (~cp(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp(X)|ra_Px1(X,sK3_skl(X))))),
% 0.13/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f118])).
% 0.13/0.37 fof(f120,plain,(
% 0.13/0.37 ![X0,X1]: (~cp(X0)|~ra_Px1(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f119])).
% 0.13/0.37 fof(f122,plain,(
% 0.13/0.37 ![X]: ((~cpxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.37 inference(NNF_transformation,[status(thm)],[f26])).
% 0.13/0.37 fof(f123,plain,(
% 0.13/0.37 (![X]: (~cpxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f122])).
% 0.13/0.37 fof(f124,plain,(
% 0.13/0.37 (![X]: (~cpxcomp(X)|ra_Px1(X,sK4_skl(X))))&(![X]: (cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y0,sK4_skl(X))],[f123])).
% 0.13/0.37 fof(f125,plain,(
% 0.13/0.37 ![X0]: (~cpxcomp(X0)|ra_Px1(X0,sK4_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f124])).
% 0.13/0.37 fof(f127,plain,(
% 0.13/0.37 ![X,Y,Z]: ((~rf(X,Y)|~rf(X,Z))|Y=Z)),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.13/0.37 fof(f128,plain,(
% 0.13/0.37 ![Y,Z]: ((![X]: (~rf(X,Y)|~rf(X,Z)))|Y=Z)),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f127])).
% 0.13/0.37 fof(f129,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f128])).
% 0.13/0.37 fof(f130,plain,(
% 0.13/0.37 ![X,Y,Z]: ((~rf1(X,Y)|~rf1(X,Z))|Y=Z)),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.13/0.37 fof(f131,plain,(
% 0.13/0.37 ![Y,Z]: ((![X]: (~rf1(X,Y)|~rf1(X,Z)))|Y=Z)),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f130])).
% 0.13/0.37 fof(f132,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~rf1(X0,X1)|~rf1(X0,X2)|X1=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f131])).
% 0.13/0.37 fof(f148,plain,(
% 0.13/0.37 cUnsatisfiable(i2003_11_14_17_21_15425)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.37 fof(f149,plain,(
% 0.13/0.37 ![X,Y]: (~rs(X,Y)|rf(X,Y))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.13/0.37 fof(f150,plain,(
% 0.13/0.37 ![X0,X1]: (~rs(X0,X1)|rf(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f149])).
% 0.13/0.37 fof(f151,plain,(
% 0.13/0.37 ![X,Y]: (~rs(X,Y)|rf1(X,Y))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.13/0.37 fof(f152,plain,(
% 0.13/0.37 ![X0,X1]: (~rs(X0,X1)|rf1(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f151])).
% 0.13/0.37 fof(f154,plain,(
% 0.13/0.37 rf1(i2003_11_14_17_21_15425,sK0_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f109,f148])).
% 0.13/0.37 fof(f155,plain,(
% 0.13/0.37 cpxcomp(sK0_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f110,f148])).
% 0.13/0.37 fof(f156,plain,(
% 0.13/0.37 rs(i2003_11_14_17_21_15425,sK1_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f111,f148])).
% 0.13/0.37 fof(f157,plain,(
% 0.13/0.37 rf(i2003_11_14_17_21_15425,sK2_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f113,f148])).
% 0.13/0.37 fof(f158,plain,(
% 0.13/0.37 cp(sK2_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f114,f148])).
% 0.13/0.37 fof(f162,plain,(
% 0.13/0.37 ra_Px1(sK0_skl(i2003_11_14_17_21_15425),sK4_skl(sK0_skl(i2003_11_14_17_21_15425)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f125,f155])).
% 0.13/0.37 fof(f165,plain,(
% 0.13/0.37 ![X0]: (~rf1(i2003_11_14_17_21_15425,X0)|X0=sK0_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f154,f132])).
% 0.13/0.37 fof(f166,plain,(
% 0.13/0.37 rf1(i2003_11_14_17_21_15425,sK1_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f156,f152])).
% 0.13/0.37 fof(f168,plain,(
% 0.13/0.37 rf(i2003_11_14_17_21_15425,sK1_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f156,f150])).
% 0.13/0.37 fof(f172,plain,(
% 0.13/0.37 ![X0]: (~rf(i2003_11_14_17_21_15425,X0)|X0=sK2_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f157,f129])).
% 0.13/0.37 fof(f175,plain,(
% 0.13/0.37 ~cp(sK0_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(resolution,[status(thm)],[f162,f120])).
% 0.13/0.37 fof(f179,plain,(
% 0.13/0.37 sK1_skl(i2003_11_14_17_21_15425)=sK0_skl(i2003_11_14_17_21_15425)),
% 0.13/0.37 inference(resolution,[status(thm)],[f166,f165])).
% 0.13/0.37 fof(f187,plain,(
% 0.13/0.37 sK1_skl(i2003_11_14_17_21_15425)=sK2_skl(i2003_11_14_17_21_15425)),
% 0.13/0.37 inference(resolution,[status(thm)],[f172,f168])).
% 0.13/0.37 fof(f210,plain,(
% 0.13/0.37 cp(sK0_skl(i2003_11_14_17_21_15425))),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f211,f158])).
% 0.13/0.37 fof(f211,plain,(
% 0.13/0.37 sK0_skl(i2003_11_14_17_21_15425)=sK2_skl(i2003_11_14_17_21_15425)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f179,f187])).
% 0.13/0.37 fof(f212,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f210,f175])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.025764 seconds
% 0.13/0.38 % CPU time: 0.079167 seconds
% 0.13/0.38 % Total memory used: 3.010 MB
% 0.13/0.38 % Net memory used: 2.898 MB
%------------------------------------------------------------------------------