%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS072+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 : n007.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 01:00:13 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS072+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
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:50:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f17,axiom,(
% 0.09/0.38 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rinvR(X,Y)& (! [Z0,Z1] :( ( rr(Y,Z0)& rr(Y,Z1) )=> Z0 = Z1 ))& (? [Z] :( rr(Y,Z)& cp1(Z) ) )))& cp2(X) ) ) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f18,axiom,(
% 0.09/0.38 (! [X] :( cp1(X)=> ~ ( cp3(X)| cp2(X)| cp4(X)| cp5(X) ) ) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f22,axiom,(
% 0.09/0.38 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f23,axiom,(
% 0.09/0.38 cUnsatisfiable(i2003_11_14_17_18_50190) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f73,plain,(
% 0.09/0.38 ![X]: (cUnsatisfiable(X)<=>((?[Y]: ((rinvR(X,Y)&(![Z0,Z1]: ((~rr(Y,Z0)|~rr(Y,Z1))|Z0=Z1)))&(?[Z]: (rr(Y,Z)&cp1(Z)))))&cp2(X)))),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.09/0.38 fof(f74,plain,(
% 0.09/0.38 ![X]: ((~cUnsatisfiable(X)|((?[Y]: ((rinvR(X,Y)&(![Z0,Z1]: ((~rr(Y,Z0)|~rr(Y,Z1))|Z0=Z1)))&(?[Z]: (rr(Y,Z)&cp1(Z)))))&cp2(X)))&(cUnsatisfiable(X)|((![Y]: ((~rinvR(X,Y)|(?[Z0,Z1]: ((rr(Y,Z0)&rr(Y,Z1))&~Z0=Z1)))|(![Z]: (~rr(Y,Z)|~cp1(Z)))))|~cp2(X))))),
% 0.09/0.38 inference(NNF_transformation,[status(thm)],[f73])).
% 0.09/0.38 fof(f75,plain,(
% 0.09/0.38 (![X]: (~cUnsatisfiable(X)|((?[Y]: ((rinvR(X,Y)&(![Z0,Z1]: ((~rr(Y,Z0)|~rr(Y,Z1))|Z0=Z1)))&(?[Z]: (rr(Y,Z)&cp1(Z)))))&cp2(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rinvR(X,Y)|(?[Z0,Z1]: ((rr(Y,Z0)&rr(Y,Z1))&~Z0=Z1)))|(![Z]: (~rr(Y,Z)|~cp1(Z)))))|~cp2(X))))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f74])).
% 0.09/0.38 fof(f76,plain,(
% 0.09/0.38 (![X]: (~cUnsatisfiable(X)|(((rinvR(X,sK0_skl(X))&(![Z0,Z1]: ((~rr(sK0_skl(X),Z0)|~rr(sK0_skl(X),Z1))|Z0=Z1)))&(rr(sK0_skl(X),sK1_skl(X))&cp1(sK1_skl(X))))&cp2(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rinvR(X,Y)|((rr(Y,sK2_skl(Y,X))&rr(Y,sK3_skl(Y,X)))&~sK2_skl(Y,X)=sK3_skl(Y,X)))|(![Z]: (~rr(Y,Z)|~cp1(Z)))))|~cp2(X))))),
% 0.09/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(Z0,sK2_skl(Y,X)),skolemize(Z1,sK3_skl(Y,X))],[f75])).
% 0.09/0.38 fof(f77,plain,(
% 0.09/0.38 ![X0]: (~cUnsatisfiable(X0)|rinvR(X0,sK0_skl(X0)))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.38 fof(f78,plain,(
% 0.09/0.38 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rr(sK0_skl(X0),X1)|~rr(sK0_skl(X0),X2)|X1=X2)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.38 fof(f79,plain,(
% 0.09/0.38 ![X0]: (~cUnsatisfiable(X0)|rr(sK0_skl(X0),sK1_skl(X0)))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.38 fof(f80,plain,(
% 0.09/0.38 ![X0]: (~cUnsatisfiable(X0)|cp1(sK1_skl(X0)))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.38 fof(f81,plain,(
% 0.09/0.38 ![X0]: (~cUnsatisfiable(X0)|cp2(X0))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.38 fof(f85,plain,(
% 0.09/0.38 ![X]: (~cp1(X)|(((~cp3(X)&~cp2(X))&~cp4(X))&~cp5(X)))),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.09/0.38 fof(f87,plain,(
% 0.09/0.38 ![X0]: (~cp1(X0)|~cp2(X0))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f85])).
% 0.09/0.38 fof(f99,plain,(
% 0.09/0.38 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.09/0.38 inference(NNF_transformation,[status(thm)],[f22])).
% 0.09/0.38 fof(f100,plain,(
% 0.09/0.38 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f99])).
% 0.09/0.38 fof(f101,plain,(
% 0.09/0.38 ![X0,X1]: (~rinvR(X0,X1)|rr(X1,X0))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f100])).
% 0.09/0.38 fof(f103,plain,(
% 0.09/0.38 cUnsatisfiable(i2003_11_14_17_18_50190)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.38 fof(f105,plain,(
% 0.09/0.38 rinvR(i2003_11_14_17_18_50190,sK0_skl(i2003_11_14_17_18_50190))),
% 0.09/0.38 inference(resolution,[status(thm)],[f77,f103])).
% 0.09/0.38 fof(f106,plain,(
% 0.09/0.38 rr(sK0_skl(i2003_11_14_17_18_50190),sK1_skl(i2003_11_14_17_18_50190))),
% 0.09/0.38 inference(resolution,[status(thm)],[f79,f103])).
% 0.09/0.38 fof(f107,plain,(
% 0.09/0.38 cp2(i2003_11_14_17_18_50190)),
% 0.09/0.38 inference(resolution,[status(thm)],[f81,f103])).
% 0.09/0.38 fof(f108,plain,(
% 0.09/0.38 cp1(sK1_skl(i2003_11_14_17_18_50190))),
% 0.09/0.38 inference(resolution,[status(thm)],[f80,f103])).
% 0.09/0.38 fof(f109,plain,(
% 0.09/0.38 ~cp1(i2003_11_14_17_18_50190)),
% 0.09/0.38 inference(resolution,[status(thm)],[f87,f107])).
% 0.09/0.39 fof(f110,plain,(
% 0.09/0.39 rr(sK0_skl(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190)),
% 0.09/0.39 inference(resolution,[status(thm)],[f105,f101])).
% 0.09/0.39 fof(f113,definition,(
% 0.09/0.39 sQ0_spl <=> (cUnsatisfiable(i2003_11_14_17_18_50190))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f115,plain,(
% 0.09/0.39 ~cUnsatisfiable(i2003_11_14_17_18_50190)|sQ0_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f113])).
% 0.09/0.39 fof(f138,plain,(
% 0.09/0.39 $false|sQ0_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f115,f103])).
% 0.09/0.39 fof(f139,plain,(
% 0.09/0.39 sQ0_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f138])).
% 0.09/0.39 fof(f140,plain,(
% 0.09/0.39 ![X0]: (~cUnsatisfiable(i2003_11_14_17_18_50190)|~rr(sK0_skl(i2003_11_14_17_18_50190),X0)|X0=i2003_11_14_17_18_50190)),
% 0.09/0.39 inference(resolution,[status(thm)],[f110,f78])).
% 0.09/0.39 fof(f142,definition,(
% 0.09/0.39 ![X0]: (sQ6_spl <=> (~rr(sK0_skl(i2003_11_14_17_18_50190),X0)|X0=i2003_11_14_17_18_50190))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f143,plain,(
% 0.09/0.39 ![X0]: (~rr(sK0_skl(i2003_11_14_17_18_50190),X0)|X0=i2003_11_14_17_18_50190|~sQ6_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f142])).
% 0.09/0.39 fof(f145,plain,(
% 0.09/0.39 ~sQ0_spl|sQ6_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f140,f113,f142])).
% 0.09/0.39 fof(f164,plain,(
% 0.09/0.39 sK1_skl(i2003_11_14_17_18_50190)=i2003_11_14_17_18_50190|~sQ6_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f143,f106])).
% 0.09/0.39 fof(f167,plain,(
% 0.09/0.39 cp1(i2003_11_14_17_18_50190)|~sQ6_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f164,f108])).
% 0.09/0.39 fof(f169,plain,(
% 0.09/0.39 $false|~sQ6_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f167,f109])).
% 0.09/0.39 fof(f170,plain,(
% 0.09/0.39 ~sQ6_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f169])).
% 0.09/0.39 fof(f171,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f139,f145,f170])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.40 % Elapsed time: 0.038173 seconds
% 0.09/0.40 % CPU time: 0.077783 seconds
% 0.09/0.40 % Total memory used: 2.603 MB
% 0.09/0.40 % Net memory used: 2.536 MB
%------------------------------------------------------------------------------