%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS087+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 : n011.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 01:00:14 PM UTC 2026
% Result : Unsatisfiable 0.08s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS087+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
% 0.08/5.37 % Computer : n011.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Sun Sep 20 22:53:16 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.08/5.39 % Refutation found
% 0.08/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.39 fof(f17,axiom,(
% 0.08/5.39 (! [X] :( cUnsatisfiable(X)<=> ( cp1(X)& (? [Y] :( rr(X,Y)& (? [Z] :( rr(Y,Z)& (! [W] :( rinvR(Z,W)=> ~ cp1(W) ))& cp1(Z) ) )) )) ) )),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f20,axiom,(
% 0.08/5.39 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f21,axiom,(
% 0.08/5.39 (! [X,Y,Z] :( ( rr(X,Y)& rr(Y,Z) )=> rr(X,Z) ) )),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f22,axiom,(
% 0.08/5.39 cUnsatisfiable(i2003_11_14_17_19_46763) ),
% 0.08/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f72,plain,(
% 0.08/5.39 ![X]: (cUnsatisfiable(X)<=>(cp1(X)&(?[Y]: (rr(X,Y)&(?[Z]: ((rr(Y,Z)&(![W]: (~rinvR(Z,W)|~cp1(W))))&cp1(Z)))))))),
% 0.08/5.39 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.08/5.39 fof(f73,plain,(
% 0.08/5.39 ![X]: ((~cUnsatisfiable(X)|(cp1(X)&(?[Y]: (rr(X,Y)&(?[Z]: ((rr(Y,Z)&(![W]: (~rinvR(Z,W)|~cp1(W))))&cp1(Z)))))))&(cUnsatisfiable(X)|(~cp1(X)|(![Y]: (~rr(X,Y)|(![Z]: ((~rr(Y,Z)|(?[W]: (rinvR(Z,W)&cp1(W))))|~cp1(Z))))))))),
% 0.08/5.39 inference(NNF_transformation,[status(thm)],[f72])).
% 0.08/5.39 fof(f74,plain,(
% 0.08/5.39 (![X]: (~cUnsatisfiable(X)|(cp1(X)&(?[Y]: (rr(X,Y)&(?[Z]: ((rr(Y,Z)&(![W]: (~rinvR(Z,W)|~cp1(W))))&cp1(Z))))))))&(![X]: (cUnsatisfiable(X)|(~cp1(X)|(![Y]: (~rr(X,Y)|(![Z]: ((~rr(Y,Z)|(?[W]: (rinvR(Z,W)&cp1(W))))|~cp1(Z))))))))),
% 0.08/5.39 inference(miniscoping,[status(thm)],[f73])).
% 0.08/5.39 fof(f75,plain,(
% 0.08/5.39 (![X]: (~cUnsatisfiable(X)|(cp1(X)&(rr(X,sK0_skl(X))&((rr(sK0_skl(X),sK1_skl(X))&(![W]: (~rinvR(sK1_skl(X),W)|~cp1(W))))&cp1(sK1_skl(X)))))))&(![X]: (cUnsatisfiable(X)|(~cp1(X)|(![Y]: (~rr(X,Y)|(![Z]: ((~rr(Y,Z)|(rinvR(Z,sK2_skl(Z,Y,X))&cp1(sK2_skl(Z,Y,X))))|~cp1(Z))))))))),
% 0.08/5.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(W,sK2_skl(Z,Y,X))],[f74])).
% 0.08/5.39 fof(f76,plain,(
% 0.08/5.39 ![X0]: (~cUnsatisfiable(X0)|cp1(X0))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f75])).
% 0.08/5.39 fof(f77,plain,(
% 0.08/5.39 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f75])).
% 0.08/5.39 fof(f78,plain,(
% 0.08/5.39 ![X0]: (~cUnsatisfiable(X0)|rr(sK0_skl(X0),sK1_skl(X0)))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f75])).
% 0.08/5.39 fof(f79,plain,(
% 0.08/5.39 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvR(sK1_skl(X0),X1)|~cp1(X1))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f75])).
% 0.08/5.39 fof(f90,plain,(
% 0.08/5.39 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.08/5.39 inference(NNF_transformation,[status(thm)],[f20])).
% 0.08/5.39 fof(f91,plain,(
% 0.08/5.39 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.08/5.39 inference(miniscoping,[status(thm)],[f90])).
% 0.08/5.39 fof(f93,plain,(
% 0.08/5.39 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f91])).
% 0.08/5.39 fof(f94,plain,(
% 0.08/5.39 ![X,Y,Z]: ((~rr(X,Y)|~rr(Y,Z))|rr(X,Z))),
% 0.08/5.39 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.08/5.39 fof(f95,plain,(
% 0.08/5.39 ![X,Z]: ((![Y]: (~rr(X,Y)|~rr(Y,Z)))|rr(X,Z))),
% 0.08/5.39 inference(miniscoping,[status(thm)],[f94])).
% 0.08/5.39 fof(f96,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~rr(X0,X1)|~rr(X1,X2)|rr(X0,X2))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.08/5.39 fof(f97,plain,(
% 0.08/5.39 cUnsatisfiable(i2003_11_14_17_19_46763)),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/5.39 fof(f99,plain,(
% 0.08/5.39 cp1(i2003_11_14_17_19_46763)),
% 0.08/5.39 inference(resolution,[status(thm)],[f76,f97])).
% 0.08/5.39 fof(f103,plain,(
% 0.08/5.39 ![X0]: (~rinvR(sK1_skl(i2003_11_14_17_19_46763),X0)|~cp1(X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f79,f97])).
% 0.08/5.39 fof(f104,plain,(
% 0.08/5.39 ![X0]: (~cp1(X0)|~rr(X0,sK1_skl(i2003_11_14_17_19_46763)))),
% 0.08/5.39 inference(resolution,[status(thm)],[f103,f93])).
% 0.08/5.39 fof(f109,plain,(
% 0.08/5.39 ![X0,X1]: (~rr(X0,X1)|~rr(X1,sK1_skl(i2003_11_14_17_19_46763))|~cp1(X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f96,f104])).
% 0.08/5.39 fof(f111,plain,(
% 0.08/5.39 ![X0]: (~rr(i2003_11_14_17_19_46763,X0)|~rr(X0,sK1_skl(i2003_11_14_17_19_46763)))),
% 0.08/5.39 inference(resolution,[status(thm)],[f109,f99])).
% 0.08/5.39 fof(f112,plain,(
% 0.08/5.39 ~rr(sK0_skl(i2003_11_14_17_19_46763),sK1_skl(i2003_11_14_17_19_46763))|~cUnsatisfiable(i2003_11_14_17_19_46763)),
% 0.08/5.39 inference(resolution,[status(thm)],[f111,f77])).
% 0.08/5.39 fof(f115,plain,(
% 0.08/5.39 ~cUnsatisfiable(i2003_11_14_17_19_46763)),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f112,f78])).
% 0.08/5.39 fof(f116,plain,(
% 0.08/5.39 $false),
% 0.08/5.39 inference(backward_subsumption_resolution,[status(thm)],[f97,f115])).
% 0.08/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.40 % Elapsed time: 0.026116 seconds
% 0.15/5.40 % CPU time: 0.078347 seconds
% 0.15/5.40 % Total memory used: 2.471 MB
% 0.15/5.40 % Net memory used: 2.360 MB
%------------------------------------------------------------------------------