%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS106+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 : n015.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 0.15s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS106+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n015.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 22:56:41 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 0.15/5.40 % Refutation found
% 0.15/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.40 fof(f19,axiom,(
% 0.15/5.40 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rf3(X,Y)& cp2(Y) ))& (? [Y] :( rf1(X,Y)& cp1(Y) ))& (? [Y] :( rf2(X,Y)& cp1xcomp(Y) ) )) ) )),
% 0.15/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.40 fof(f20,axiom,(
% 0.15/5.40 (! [X] :( cp1(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.15/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.40 fof(f21,axiom,(
% 0.15/5.40 (! [X] :( cp1xcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.15/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.40 fof(f22,axiom,(
% 0.15/5.40 (! [X,Y,Z] :( ( rf1(X,Y)& rf1(X,Z) )=> Y = Z ) )),
% 0.15/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.40 fof(f23,axiom,(
% 0.15/5.40 (! [X,Y,Z] :( ( rf2(X,Y)& rf2(X,Z) )=> Y = Z ) )),
% 0.15/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.40 fof(f25,axiom,(
% 0.15/5.40 cUnsatisfiable(i2003_11_14_17_20_57644) ),
% 0.15/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.40 fof(f26,axiom,(
% 0.15/5.40 (! [X,Y] :( rf3(X,Y)=> rf1(X,Y) ) )),
% 0.15/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.40 fof(f27,axiom,(
% 0.15/5.40 (! [X,Y] :( rf3(X,Y)=> rf2(X,Y) ) )),
% 0.15/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.40 fof(f83,plain,(
% 0.15/5.40 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rf3(X,Y)&cp2(Y)))&(?[Y]: (rf1(X,Y)&cp1(Y))))&(?[Y]: (rf2(X,Y)&cp1xcomp(Y)))))&(cUnsatisfiable(X)|(((![Y]: (~rf3(X,Y)|~cp2(Y)))|(![Y]: (~rf1(X,Y)|~cp1(Y))))|(![Y]: (~rf2(X,Y)|~cp1xcomp(Y))))))),
% 0.15/5.40 inference(NNF_transformation,[status(thm)],[f19])).
% 0.15/5.40 fof(f84,plain,(
% 0.15/5.40 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rf3(X,Y)&cp2(Y)))&(?[Y]: (rf1(X,Y)&cp1(Y))))&(?[Y]: (rf2(X,Y)&cp1xcomp(Y))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf3(X,Y)|~cp2(Y)))|(![Y]: (~rf1(X,Y)|~cp1(Y))))|(![Y]: (~rf2(X,Y)|~cp1xcomp(Y))))))),
% 0.15/5.40 inference(miniscoping,[status(thm)],[f83])).
% 0.15/5.40 fof(f85,plain,(
% 0.15/5.40 (![X]: (~cUnsatisfiable(X)|(((rf3(X,sK0_skl(X))&cp2(sK0_skl(X)))&(rf1(X,sK1_skl(X))&cp1(sK1_skl(X))))&(rf2(X,sK2_skl(X))&cp1xcomp(sK2_skl(X))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf3(X,Y)|~cp2(Y)))|(![Y]: (~rf1(X,Y)|~cp1(Y))))|(![Y]: (~rf2(X,Y)|~cp1xcomp(Y))))))),
% 0.15/5.40 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))],[f84])).
% 0.15/5.40 fof(f86,plain,(
% 0.15/5.40 ![X0]: (~cUnsatisfiable(X0)|rf3(X0,sK0_skl(X0)))),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.15/5.40 fof(f88,plain,(
% 0.15/5.40 ![X0]: (~cUnsatisfiable(X0)|rf1(X0,sK1_skl(X0)))),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.15/5.40 fof(f89,plain,(
% 0.15/5.40 ![X0]: (~cUnsatisfiable(X0)|cp1(sK1_skl(X0)))),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.15/5.40 fof(f90,plain,(
% 0.15/5.40 ![X0]: (~cUnsatisfiable(X0)|rf2(X0,sK2_skl(X0)))),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.15/5.40 fof(f91,plain,(
% 0.15/5.40 ![X0]: (~cUnsatisfiable(X0)|cp1xcomp(sK2_skl(X0)))),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.15/5.40 fof(f93,plain,(
% 0.15/5.40 ![X]: (cp1(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.15/5.40 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.15/5.40 fof(f94,plain,(
% 0.15/5.40 ![X]: ((~cp1(X)|(![Y]: ~ra_Px1(X,Y)))&(cp1(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.15/5.40 inference(NNF_transformation,[status(thm)],[f93])).
% 0.15/5.40 fof(f95,plain,(
% 0.15/5.40 (![X]: (~cp1(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp1(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.15/5.40 inference(miniscoping,[status(thm)],[f94])).
% 0.15/5.40 fof(f96,plain,(
% 0.15/5.40 (![X]: (~cp1(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp1(X)|ra_Px1(X,sK3_skl(X))))),
% 0.15/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f95])).
% 0.15/5.40 fof(f97,plain,(
% 0.15/5.40 ![X0,X1]: (~cp1(X0)|~ra_Px1(X0,X1))),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f96])).
% 0.15/5.40 fof(f99,plain,(
% 0.15/5.40 ![X]: ((~cp1xcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.15/5.40 inference(NNF_transformation,[status(thm)],[f21])).
% 0.15/5.40 fof(f100,plain,(
% 0.15/5.40 (![X]: (~cp1xcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.15/5.40 inference(miniscoping,[status(thm)],[f99])).
% 0.15/5.40 fof(f101,plain,(
% 0.15/5.40 (![X]: (~cp1xcomp(X)|ra_Px1(X,sK4_skl(X))))&(![X]: (cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.15/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y0,sK4_skl(X))],[f100])).
% 0.15/5.40 fof(f102,plain,(
% 0.15/5.40 ![X0]: (~cp1xcomp(X0)|ra_Px1(X0,sK4_skl(X0)))),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f101])).
% 0.15/5.40 fof(f104,plain,(
% 0.15/5.40 ![X,Y,Z]: ((~rf1(X,Y)|~rf1(X,Z))|Y=Z)),
% 0.15/5.40 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.15/5.40 fof(f105,plain,(
% 0.15/5.40 ![Y,Z]: ((![X]: (~rf1(X,Y)|~rf1(X,Z)))|Y=Z)),
% 0.15/5.40 inference(miniscoping,[status(thm)],[f104])).
% 0.15/5.40 fof(f106,plain,(
% 0.15/5.40 ![X0,X1,X2]: (~rf1(X0,X1)|~rf1(X0,X2)|X1=X2)),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f105])).
% 0.15/5.40 fof(f107,plain,(
% 0.15/5.40 ![X,Y,Z]: ((~rf2(X,Y)|~rf2(X,Z))|Y=Z)),
% 0.15/5.40 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.15/5.40 fof(f108,plain,(
% 0.15/5.40 ![Y,Z]: ((![X]: (~rf2(X,Y)|~rf2(X,Z)))|Y=Z)),
% 0.15/5.40 inference(miniscoping,[status(thm)],[f107])).
% 0.15/5.40 fof(f109,plain,(
% 0.15/5.40 ![X0,X1,X2]: (~rf2(X0,X1)|~rf2(X0,X2)|X1=X2)),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f108])).
% 0.15/5.40 fof(f113,plain,(
% 0.15/5.40 cUnsatisfiable(i2003_11_14_17_20_57644)),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/5.40 fof(f114,plain,(
% 0.15/5.40 ![X,Y]: (~rf3(X,Y)|rf1(X,Y))),
% 0.15/5.40 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.15/5.40 fof(f115,plain,(
% 0.15/5.40 ![X0,X1]: (~rf3(X0,X1)|rf1(X0,X1))),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f114])).
% 0.15/5.40 fof(f116,plain,(
% 0.15/5.40 ![X,Y]: (~rf3(X,Y)|rf2(X,Y))),
% 0.15/5.40 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.15/5.40 fof(f117,plain,(
% 0.15/5.40 ![X0,X1]: (~rf3(X0,X1)|rf2(X0,X1))),
% 0.15/5.40 inference(cnf_transformation,[status(thm)],[f116])).
% 0.15/5.40 fof(f120,plain,(
% 0.15/5.40 rf3(i2003_11_14_17_20_57644,sK0_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(resolution,[status(thm)],[f86,f113])).
% 0.15/5.40 fof(f122,plain,(
% 0.15/5.40 rf1(i2003_11_14_17_20_57644,sK1_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(resolution,[status(thm)],[f88,f113])).
% 0.15/5.40 fof(f123,plain,(
% 0.15/5.40 cp1(sK1_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(resolution,[status(thm)],[f89,f113])).
% 0.15/5.40 fof(f124,plain,(
% 0.15/5.40 rf2(i2003_11_14_17_20_57644,sK2_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(resolution,[status(thm)],[f90,f113])).
% 0.15/5.40 fof(f125,plain,(
% 0.15/5.40 cp1xcomp(sK2_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(resolution,[status(thm)],[f91,f113])).
% 0.15/5.40 fof(f130,plain,(
% 0.15/5.40 ra_Px1(sK2_skl(i2003_11_14_17_20_57644),sK4_skl(sK2_skl(i2003_11_14_17_20_57644)))),
% 0.15/5.40 inference(resolution,[status(thm)],[f125,f102])).
% 0.15/5.40 fof(f131,plain,(
% 0.15/5.40 rf2(i2003_11_14_17_20_57644,sK0_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(resolution,[status(thm)],[f120,f117])).
% 0.15/5.40 fof(f132,plain,(
% 0.15/5.40 rf1(i2003_11_14_17_20_57644,sK0_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(resolution,[status(thm)],[f120,f115])).
% 0.15/5.40 fof(f148,plain,(
% 0.15/5.40 ![X0]: (~rf1(i2003_11_14_17_20_57644,X0)|sK1_skl(i2003_11_14_17_20_57644)=X0)),
% 0.15/5.40 inference(resolution,[status(thm)],[f122,f106])).
% 0.15/5.40 fof(f149,plain,(
% 0.15/5.40 ![X0]: (~rf2(i2003_11_14_17_20_57644,X0)|sK2_skl(i2003_11_14_17_20_57644)=X0)),
% 0.15/5.40 inference(resolution,[status(thm)],[f124,f109])).
% 0.15/5.40 fof(f151,plain,(
% 0.15/5.40 ~cp1(sK2_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(resolution,[status(thm)],[f130,f97])).
% 0.15/5.40 fof(f163,plain,(
% 0.15/5.40 sK1_skl(i2003_11_14_17_20_57644)=sK0_skl(i2003_11_14_17_20_57644)),
% 0.15/5.40 inference(resolution,[status(thm)],[f148,f132])).
% 0.15/5.40 fof(f167,plain,(
% 0.15/5.40 cp1(sK0_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(backward_demodulation,[status(thm)],[f163,f123])).
% 0.15/5.40 fof(f168,plain,(
% 0.15/5.40 sK2_skl(i2003_11_14_17_20_57644)=sK0_skl(i2003_11_14_17_20_57644)),
% 0.15/5.40 inference(resolution,[status(thm)],[f149,f131])).
% 0.15/5.40 fof(f171,plain,(
% 0.15/5.40 ~cp1(sK0_skl(i2003_11_14_17_20_57644))),
% 0.15/5.40 inference(backward_demodulation,[status(thm)],[f168,f151])).
% 0.15/5.40 fof(f175,plain,(
% 0.15/5.40 $false),
% 0.15/5.40 inference(forward_subsumption_resolution,[status(thm)],[f171,f167])).
% 0.15/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.42 % Elapsed time: 0.030418 seconds
% 0.15/5.42 % CPU time: 0.082698 seconds
% 0.15/5.42 % Total memory used: 2.666 MB
% 0.15/5.42 % Net memory used: 2.587 MB
%------------------------------------------------------------------------------