%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS078+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 : n010.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 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS078+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
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 22:52:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f16,axiom,(
% 0.09/0.37 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& (? [Z] :( rinvR(Y,Z)& (! [W] :( rs(Z,W)=> cp(W) ) )))& (! [Z0,Z1] :( ( rinvR(Y,Z0)& rinvR(Y,Z1) )=> Z0 = Z1 ) )))& (? [Y] :( rs(X,Y)& ~ cq(Y)& ~ cp(Y) ) )) ) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f17,axiom,(
% 0.09/0.37 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f18,axiom,(
% 0.09/0.37 cUnsatisfiable(i2003_11_14_17_19_13721) ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f65,plain,(
% 0.09/0.37 ![X]: (cUnsatisfiable(X)<=>((?[Y]: ((rr(X,Y)&(?[Z]: (rinvR(Y,Z)&(![W]: (~rs(Z,W)|cp(W))))))&(![Z0,Z1]: ((~rinvR(Y,Z0)|~rinvR(Y,Z1))|Z0=Z1))))&(?[Y]: ((rs(X,Y)&~cq(Y))&~cp(Y)))))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.09/0.37 fof(f66,definition,(
% 0.09/0.37 ![Z,W]: (sP0_prd(W,Z)<=>(~rs(Z,W)|cp(W)))),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.37 fof(f67,plain,(
% 0.09/0.37 ![X]: (cUnsatisfiable(X)<=>((?[Y]: ((rr(X,Y)&(?[Z]: (rinvR(Y,Z)&(![W]: sP0_prd(W,Z)))))&(![Z0,Z1]: ((~rinvR(Y,Z0)|~rinvR(Y,Z1))|Z0=Z1))))&(?[Y]: ((rs(X,Y)&~cq(Y))&~cp(Y)))))),
% 0.09/0.37 inference(formula_renaming,[status(thm)],[f65,f66])).
% 0.09/0.37 fof(f68,plain,(
% 0.09/0.37 ![X]: ((~cUnsatisfiable(X)|((?[Y]: ((rr(X,Y)&(?[Z]: (rinvR(Y,Z)&(![W]: sP0_prd(W,Z)))))&(![Z0,Z1]: ((~rinvR(Y,Z0)|~rinvR(Y,Z1))|Z0=Z1))))&(?[Y]: ((rs(X,Y)&~cq(Y))&~cp(Y)))))&(cUnsatisfiable(X)|((![Y]: ((~rr(X,Y)|(![Z]: (~rinvR(Y,Z)|(?[W]: ~sP0_prd(W,Z)))))|(?[Z0,Z1]: ((rinvR(Y,Z0)&rinvR(Y,Z1))&~Z0=Z1))))|(![Y]: ((~rs(X,Y)|cq(Y))|cp(Y))))))),
% 0.09/0.37 inference(NNF_transformation,[status(thm)],[f67])).
% 0.09/0.37 fof(f69,plain,(
% 0.09/0.37 (![X]: (~cUnsatisfiable(X)|((?[Y]: ((rr(X,Y)&(?[Z]: (rinvR(Y,Z)&(![W]: sP0_prd(W,Z)))))&(![Z0,Z1]: ((~rinvR(Y,Z0)|~rinvR(Y,Z1))|Z0=Z1))))&(?[Y]: ((rs(X,Y)&~cq(Y))&~cp(Y))))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rr(X,Y)|(![Z]: (~rinvR(Y,Z)|(?[W]: ~sP0_prd(W,Z)))))|(?[Z0,Z1]: ((rinvR(Y,Z0)&rinvR(Y,Z1))&~Z0=Z1))))|(![Y]: ((~rs(X,Y)|cq(Y))|cp(Y))))))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f68])).
% 0.09/0.37 fof(f70,plain,(
% 0.09/0.37 (![X]: (~cUnsatisfiable(X)|(((rr(X,sK0_skl(X))&(rinvR(sK0_skl(X),sK1_skl(X))&(![W]: sP0_prd(W,sK1_skl(X)))))&(![Z0,Z1]: ((~rinvR(sK0_skl(X),Z0)|~rinvR(sK0_skl(X),Z1))|Z0=Z1)))&((rs(X,sK2_skl(X))&~cq(sK2_skl(X)))&~cp(sK2_skl(X))))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rr(X,Y)|(![Z]: (~rinvR(Y,Z)|~sP0_prd(sK3_skl(Z,Y,X),Z))))|((rinvR(Y,sK4_skl(Y,X))&rinvR(Y,sK5_skl(Y,X)))&~sK4_skl(Y,X)=sK5_skl(Y,X))))|(![Y]: ((~rs(X,Y)|cq(Y))|cp(Y))))))),
% 0.09/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(Y,sK2_skl(X)),skolemize(W,sK3_skl(Z,Y,X)),skolemize(Z0,sK4_skl(Y,X)),skolemize(Z1,sK5_skl(Y,X))],[f69])).
% 0.09/0.37 fof(f71,plain,(
% 0.09/0.37 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.37 fof(f72,plain,(
% 0.09/0.37 ![X0]: (~cUnsatisfiable(X0)|rinvR(sK0_skl(X0),sK1_skl(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.37 fof(f73,plain,(
% 0.09/0.37 ![X0,X1]: (~cUnsatisfiable(X0)|sP0_prd(X1,sK1_skl(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.37 fof(f74,plain,(
% 0.09/0.37 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rinvR(sK0_skl(X0),X1)|~rinvR(sK0_skl(X0),X2)|X1=X2)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.37 fof(f75,plain,(
% 0.09/0.37 ![X0]: (~cUnsatisfiable(X0)|rs(X0,sK2_skl(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.37 fof(f77,plain,(
% 0.09/0.37 ![X0]: (~cUnsatisfiable(X0)|~cp(sK2_skl(X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.37 fof(f81,plain,(
% 0.09/0.37 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.09/0.37 inference(NNF_transformation,[status(thm)],[f17])).
% 0.09/0.37 fof(f82,plain,(
% 0.09/0.37 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f81])).
% 0.09/0.37 fof(f84,plain,(
% 0.09/0.37 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f82])).
% 0.09/0.37 fof(f85,plain,(
% 0.09/0.37 cUnsatisfiable(i2003_11_14_17_19_13721)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.38 fof(f86,plain,(
% 0.09/0.38 ![Z,W]: ((~sP0_prd(W,Z)|(~rs(Z,W)|cp(W)))&(sP0_prd(W,Z)|(rs(Z,W)&~cp(W))))),
% 0.09/0.38 inference(NNF_transformation,[status(thm)],[f66])).
% 0.09/0.38 fof(f87,plain,(
% 0.09/0.38 (![Z,W]: (~sP0_prd(W,Z)|(~rs(Z,W)|cp(W))))&(![Z,W]: (sP0_prd(W,Z)|(rs(Z,W)&~cp(W))))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f86])).
% 0.09/0.38 fof(f88,plain,(
% 0.09/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|~rs(X1,X0)|cp(X0))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f87])).
% 0.09/0.38 fof(f94,plain,(
% 0.09/0.38 ![X0]: (~sP0_prd(sK2_skl(X0),X0)|cp(sK2_skl(X0))|~cUnsatisfiable(X0))),
% 0.09/0.38 inference(resolution,[status(thm)],[f88,f75])).
% 0.09/0.38 fof(f95,plain,(
% 0.09/0.38 ![X0]: (~sP0_prd(sK2_skl(X0),X0)|~cUnsatisfiable(X0))),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f94,f77])).
% 0.09/0.38 fof(f96,plain,(
% 0.09/0.38 ~sP0_prd(sK2_skl(i2003_11_14_17_19_13721),i2003_11_14_17_19_13721)),
% 0.09/0.38 inference(resolution,[status(thm)],[f95,f85])).
% 0.09/0.38 fof(f99,plain,(
% 0.09/0.38 ![X0,X1]: (~rinvR(sK0_skl(i2003_11_14_17_19_13721),X0)|~rinvR(sK0_skl(i2003_11_14_17_19_13721),X1)|X0=X1)),
% 0.09/0.38 inference(resolution,[status(thm)],[f74,f85])).
% 0.09/0.38 fof(f100,plain,(
% 0.09/0.38 ![X0]: (~rinvR(sK0_skl(i2003_11_14_17_19_13721),X0)|X0=sK1_skl(i2003_11_14_17_19_13721)|~cUnsatisfiable(i2003_11_14_17_19_13721))),
% 0.09/0.38 inference(resolution,[status(thm)],[f99,f72])).
% 0.09/0.38 fof(f102,plain,(
% 0.09/0.38 ![X0]: (~rinvR(sK0_skl(i2003_11_14_17_19_13721),X0)|X0=sK1_skl(i2003_11_14_17_19_13721))),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f100,f85])).
% 0.09/0.38 fof(f104,plain,(
% 0.09/0.38 ![X0]: (X0=sK1_skl(i2003_11_14_17_19_13721)|~rr(X0,sK0_skl(i2003_11_14_17_19_13721)))),
% 0.09/0.38 inference(resolution,[status(thm)],[f102,f84])).
% 0.09/0.38 fof(f106,plain,(
% 0.09/0.38 i2003_11_14_17_19_13721=sK1_skl(i2003_11_14_17_19_13721)|~cUnsatisfiable(i2003_11_14_17_19_13721)),
% 0.09/0.38 inference(resolution,[status(thm)],[f104,f71])).
% 0.09/0.38 fof(f109,plain,(
% 0.09/0.38 i2003_11_14_17_19_13721=sK1_skl(i2003_11_14_17_19_13721)),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f106,f85])).
% 0.09/0.38 fof(f114,plain,(
% 0.09/0.38 ![X0]: (~cUnsatisfiable(i2003_11_14_17_19_13721)|sP0_prd(X0,i2003_11_14_17_19_13721))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f109,f73])).
% 0.09/0.38 fof(f117,plain,(
% 0.09/0.38 ![X0]: (sP0_prd(X0,i2003_11_14_17_19_13721))),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f114,f85])).
% 0.09/0.38 fof(f118,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(backward_subsumption_resolution,[status(thm)],[f96,f117])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.039478 seconds
% 0.15/0.41 % CPU time: 0.025656 seconds
% 0.15/0.41 % Total memory used: 645.136 KB
% 0.15/0.41 % Net memory used: 637.392 KB
%------------------------------------------------------------------------------