%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS109+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 : n019.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 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS109+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
% 0.07/0.34 % Computer : n019.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 22:54:06 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f26,axiom,(
% 0.12/0.37 (! [X] :( cUnsatisfiable(X)<=> ( cpxcomp(X)& (? [Y] :( rf(X,Y)& ca_Ax2(Y) ) )) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f27,axiom,(
% 0.12/0.37 (! [X] :( cp(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f28,axiom,(
% 0.12/0.37 (! [X] :( cpxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f29,axiom,(
% 0.12/0.37 (! [X] :( ca_Ax2(X)<=> ( (! [Y] :( rinvS(X,Y)=> cp(Y) ))& (! [Y] :( rinvF(X,Y)=> ca_Vx3(Y) ) )) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f30,axiom,(
% 0.12/0.37 (! [X] :( ca_Vx3(X)<=> (? [Y] :( rs(X,Y)& cp(Y) ) )) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f31,axiom,(
% 0.12/0.37 (! [X,Y,Z] :( ( rf(X,Y)& rf(X,Z) )=> Y = Z ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f33,axiom,(
% 0.12/0.37 (! [X,Y] :( rinvF(X,Y)<=> rf(Y,X) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f35,axiom,(
% 0.12/0.37 (! [X,Y] :( rinvS(X,Y)<=> rs(Y,X) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f37,axiom,(
% 0.12/0.37 cUnsatisfiable(i2003_11_14_17_21_08508) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f38,axiom,(
% 0.12/0.37 (! [X,Y] :( rs(X,Y)=> rf(X,Y) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f116,plain,(
% 0.12/0.37 ![X]: ((~cUnsatisfiable(X)|(cpxcomp(X)&(?[Y]: (rf(X,Y)&ca_Ax2(Y)))))&(cUnsatisfiable(X)|(~cpxcomp(X)|(![Y]: (~rf(X,Y)|~ca_Ax2(Y))))))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f26])).
% 0.12/0.37 fof(f117,plain,(
% 0.12/0.37 (![X]: (~cUnsatisfiable(X)|(cpxcomp(X)&(?[Y]: (rf(X,Y)&ca_Ax2(Y))))))&(![X]: (cUnsatisfiable(X)|(~cpxcomp(X)|(![Y]: (~rf(X,Y)|~ca_Ax2(Y))))))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f116])).
% 0.12/0.37 fof(f118,plain,(
% 0.12/0.37 (![X]: (~cUnsatisfiable(X)|(cpxcomp(X)&(rf(X,sK0_skl(X))&ca_Ax2(sK0_skl(X))))))&(![X]: (cUnsatisfiable(X)|(~cpxcomp(X)|(![Y]: (~rf(X,Y)|~ca_Ax2(Y))))))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f117])).
% 0.12/0.37 fof(f119,plain,(
% 0.12/0.37 ![X0]: (~cUnsatisfiable(X0)|cpxcomp(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f118])).
% 0.12/0.37 fof(f120,plain,(
% 0.12/0.37 ![X0]: (~cUnsatisfiable(X0)|rf(X0,sK0_skl(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f118])).
% 0.12/0.37 fof(f121,plain,(
% 0.12/0.37 ![X0]: (~cUnsatisfiable(X0)|ca_Ax2(sK0_skl(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f118])).
% 0.12/0.37 fof(f123,plain,(
% 0.12/0.37 ![X]: (cp(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.12/0.37 fof(f124,plain,(
% 0.12/0.37 ![X]: ((~cp(X)|(![Y]: ~ra_Px1(X,Y)))&(cp(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f123])).
% 0.12/0.37 fof(f125,plain,(
% 0.12/0.37 (![X]: (~cp(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f124])).
% 0.12/0.37 fof(f126,plain,(
% 0.12/0.37 (![X]: (~cp(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp(X)|ra_Px1(X,sK1_skl(X))))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f125])).
% 0.12/0.37 fof(f127,plain,(
% 0.12/0.37 ![X0,X1]: (~cp(X0)|~ra_Px1(X0,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f126])).
% 0.12/0.37 fof(f129,plain,(
% 0.12/0.37 ![X]: ((~cpxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f28])).
% 0.12/0.37 fof(f130,plain,(
% 0.12/0.37 (![X]: (~cpxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f129])).
% 0.12/0.37 fof(f131,plain,(
% 0.12/0.37 (![X]: (~cpxcomp(X)|ra_Px1(X,sK2_skl(X))))&(![X]: (cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y0,sK2_skl(X))],[f130])).
% 0.12/0.37 fof(f132,plain,(
% 0.12/0.37 ![X0]: (~cpxcomp(X0)|ra_Px1(X0,sK2_skl(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f131])).
% 0.12/0.37 fof(f134,plain,(
% 0.12/0.37 ![X]: (ca_Ax2(X)<=>((![Y]: (~rinvS(X,Y)|cp(Y)))&(![Y]: (~rinvF(X,Y)|ca_Vx3(Y)))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.12/0.37 fof(f135,plain,(
% 0.12/0.37 ![X]: ((~ca_Ax2(X)|((![Y]: (~rinvS(X,Y)|cp(Y)))&(![Y]: (~rinvF(X,Y)|ca_Vx3(Y)))))&(ca_Ax2(X)|((?[Y]: (rinvS(X,Y)&~cp(Y)))|(?[Y]: (rinvF(X,Y)&~ca_Vx3(Y))))))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f134])).
% 0.12/0.37 fof(f136,plain,(
% 0.12/0.37 (![X]: (~ca_Ax2(X)|((![Y]: (~rinvS(X,Y)|cp(Y)))&(![Y]: (~rinvF(X,Y)|ca_Vx3(Y))))))&(![X]: (ca_Ax2(X)|((?[Y]: (rinvS(X,Y)&~cp(Y)))|(?[Y]: (rinvF(X,Y)&~ca_Vx3(Y))))))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f135])).
% 0.12/0.37 fof(f137,plain,(
% 0.12/0.37 (![X]: (~ca_Ax2(X)|((![Y]: (~rinvS(X,Y)|cp(Y)))&(![Y]: (~rinvF(X,Y)|ca_Vx3(Y))))))&(![X]: (ca_Ax2(X)|((rinvS(X,sK3_skl(X))&~cp(sK3_skl(X)))|(rinvF(X,sK4_skl(X))&~ca_Vx3(sK4_skl(X))))))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(Y,sK3_skl(X)),skolemize(Y,sK4_skl(X))],[f136])).
% 0.12/0.37 fof(f138,plain,(
% 0.12/0.37 ![X0,X1]: (~ca_Ax2(X0)|~rinvS(X0,X1)|cp(X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f137])).
% 0.12/0.37 fof(f139,plain,(
% 0.12/0.37 ![X0,X1]: (~ca_Ax2(X0)|~rinvF(X0,X1)|ca_Vx3(X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f137])).
% 0.12/0.37 fof(f144,plain,(
% 0.12/0.37 ![X]: ((~ca_Vx3(X)|(?[Y]: (rs(X,Y)&cp(Y))))&(ca_Vx3(X)|(![Y]: (~rs(X,Y)|~cp(Y)))))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f30])).
% 0.12/0.37 fof(f145,plain,(
% 0.12/0.37 (![X]: (~ca_Vx3(X)|(?[Y]: (rs(X,Y)&cp(Y)))))&(![X]: (ca_Vx3(X)|(![Y]: (~rs(X,Y)|~cp(Y)))))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f144])).
% 0.12/0.37 fof(f146,plain,(
% 0.12/0.37 (![X]: (~ca_Vx3(X)|(rs(X,sK5_skl(X))&cp(sK5_skl(X)))))&(![X]: (ca_Vx3(X)|(![Y]: (~rs(X,Y)|~cp(Y)))))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f145])).
% 0.12/0.37 fof(f147,plain,(
% 0.12/0.37 ![X0]: (~ca_Vx3(X0)|rs(X0,sK5_skl(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f146])).
% 0.12/0.37 fof(f150,plain,(
% 0.12/0.37 ![X,Y,Z]: ((~rf(X,Y)|~rf(X,Z))|Y=Z)),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.12/0.37 fof(f151,plain,(
% 0.12/0.37 ![Y,Z]: ((![X]: (~rf(X,Y)|~rf(X,Z)))|Y=Z)),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f150])).
% 0.12/0.37 fof(f152,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f151])).
% 0.12/0.37 fof(f156,plain,(
% 0.12/0.37 ![X,Y]: ((~rinvF(X,Y)|rf(Y,X))&(rinvF(X,Y)|~rf(Y,X)))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f33])).
% 0.12/0.37 fof(f157,plain,(
% 0.12/0.37 (![X,Y]: (~rinvF(X,Y)|rf(Y,X)))&(![X,Y]: (rinvF(X,Y)|~rf(Y,X)))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f156])).
% 0.12/0.37 fof(f159,plain,(
% 0.12/0.37 ![X0,X1]: (rinvF(X0,X1)|~rf(X1,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f157])).
% 0.12/0.37 fof(f164,plain,(
% 0.12/0.37 ![X,Y]: ((~rinvS(X,Y)|rs(Y,X))&(rinvS(X,Y)|~rs(Y,X)))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f35])).
% 0.12/0.37 fof(f165,plain,(
% 0.12/0.37 (![X,Y]: (~rinvS(X,Y)|rs(Y,X)))&(![X,Y]: (rinvS(X,Y)|~rs(Y,X)))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f164])).
% 0.12/0.37 fof(f167,plain,(
% 0.12/0.37 ![X0,X1]: (rinvS(X0,X1)|~rs(X1,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f165])).
% 0.12/0.37 fof(f171,plain,(
% 0.12/0.37 cUnsatisfiable(i2003_11_14_17_21_08508)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.37 fof(f172,plain,(
% 0.12/0.37 ![X,Y]: (~rs(X,Y)|rf(X,Y))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.12/0.37 fof(f173,plain,(
% 0.12/0.37 ![X0,X1]: (~rs(X0,X1)|rf(X0,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f172])).
% 0.12/0.37 fof(f177,plain,(
% 0.12/0.37 cpxcomp(i2003_11_14_17_21_08508)),
% 0.12/0.37 inference(resolution,[status(thm)],[f119,f171])).
% 0.12/0.37 fof(f178,plain,(
% 0.12/0.37 ![X0]: (rinvF(sK0_skl(X0),X0)|~cUnsatisfiable(X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f159,f120])).
% 0.12/0.37 fof(f184,plain,(
% 0.12/0.37 ra_Px1(i2003_11_14_17_21_08508,sK2_skl(i2003_11_14_17_21_08508))),
% 0.12/0.37 inference(resolution,[status(thm)],[f132,f177])).
% 0.12/0.37 fof(f186,plain,(
% 0.12/0.37 ![X0,X1]: (~rinvF(sK0_skl(X0),X1)|ca_Vx3(X1)|~cUnsatisfiable(X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f139,f121])).
% 0.12/0.37 fof(f187,plain,(
% 0.12/0.37 ![X0,X1]: (~rf(X0,X1)|X1=sK0_skl(X0)|~cUnsatisfiable(X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f152,f120])).
% 0.12/0.37 fof(f194,plain,(
% 0.12/0.37 ![X0]: (~rf(i2003_11_14_17_21_08508,X0)|X0=sK0_skl(i2003_11_14_17_21_08508))),
% 0.12/0.37 inference(resolution,[status(thm)],[f187,f171])).
% 0.12/0.37 fof(f200,plain,(
% 0.12/0.37 ![X0]: (~rinvF(sK0_skl(i2003_11_14_17_21_08508),X0)|ca_Vx3(X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f186,f171])).
% 0.12/0.37 fof(f201,plain,(
% 0.12/0.37 ca_Vx3(i2003_11_14_17_21_08508)|~cUnsatisfiable(i2003_11_14_17_21_08508)),
% 0.12/0.37 inference(resolution,[status(thm)],[f200,f178])).
% 0.12/0.37 fof(f203,plain,(
% 0.12/0.37 ca_Vx3(i2003_11_14_17_21_08508)),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f201,f171])).
% 0.12/0.37 fof(f205,plain,(
% 0.12/0.37 rs(i2003_11_14_17_21_08508,sK5_skl(i2003_11_14_17_21_08508))),
% 0.12/0.37 inference(resolution,[status(thm)],[f203,f147])).
% 0.12/0.37 fof(f213,plain,(
% 0.12/0.37 rf(i2003_11_14_17_21_08508,sK5_skl(i2003_11_14_17_21_08508))),
% 0.12/0.37 inference(resolution,[status(thm)],[f205,f173])).
% 0.12/0.37 fof(f214,plain,(
% 0.12/0.37 rinvS(sK5_skl(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508)),
% 0.12/0.37 inference(resolution,[status(thm)],[f205,f167])).
% 0.12/0.37 fof(f217,plain,(
% 0.12/0.37 sK5_skl(i2003_11_14_17_21_08508)=sK0_skl(i2003_11_14_17_21_08508)),
% 0.12/0.37 inference(resolution,[status(thm)],[f213,f194])).
% 0.12/0.37 fof(f228,plain,(
% 0.12/0.37 ~ca_Ax2(sK5_skl(i2003_11_14_17_21_08508))|cp(i2003_11_14_17_21_08508)),
% 0.12/0.37 inference(resolution,[status(thm)],[f214,f138])).
% 0.12/0.37 fof(f233,plain,(
% 0.12/0.37 ~cUnsatisfiable(i2003_11_14_17_21_08508)|ca_Ax2(sK5_skl(i2003_11_14_17_21_08508))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f217,f121])).
% 0.12/0.37 fof(f235,plain,(
% 0.12/0.37 cp(i2003_11_14_17_21_08508)),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f228,f236])).
% 0.12/0.37 fof(f236,plain,(
% 0.12/0.37 ca_Ax2(sK5_skl(i2003_11_14_17_21_08508))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f233,f171])).
% 0.12/0.37 fof(f237,plain,(
% 0.12/0.37 ![X0]: (~ra_Px1(i2003_11_14_17_21_08508,X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f235,f127])).
% 0.12/0.37 fof(f239,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f184,f237])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.042573 seconds
% 0.12/0.39 % CPU time: 0.106360 seconds
% 0.12/0.39 % Total memory used: 3.453 MB
% 0.12/0.39 % Net memory used: 3.343 MB
%------------------------------------------------------------------------------