%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS077+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 : 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 01:00:13 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS077+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
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:55:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f15,axiom,(
% 0.10/0.38 (! [X] :( cUnsatisfiable(X)<=> ( (! [Y0,Y1] :( ( rr(X,Y0)& rr(X,Y1) )=> Y0 = Y1 ))& (? [Y] :( rr(X,Y)& (! [Z] :( rinvS(Y,Z)=> cp(Z) ) )))& ~ cp(X)& (? [Y] :( rs(X,Y)& cp(Y) ) )) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f16,axiom,(
% 0.10/0.38 (! [X,Y] :( rinvS(X,Y)<=> rs(Y,X) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f17,axiom,(
% 0.10/0.38 cUnsatisfiable(i2003_11_14_17_19_09372) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f18,axiom,(
% 0.10/0.38 (! [X,Y] :( rs(X,Y)=> rr(X,Y) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f62,plain,(
% 0.10/0.38 ![X]: (cUnsatisfiable(X)<=>((((![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))&(?[Y]: (rr(X,Y)&(![Z]: (~rinvS(Y,Z)|cp(Z))))))&~cp(X))&(?[Y]: (rs(X,Y)&cp(Y)))))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.10/0.38 fof(f63,definition,(
% 0.10/0.38 ![Y,Z]: (sP0_prd(Z,Y)<=>(~rinvS(Y,Z)|cp(Z)))),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.10/0.38 fof(f64,plain,(
% 0.10/0.38 ![X]: (cUnsatisfiable(X)<=>((((![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))&(?[Y]: (rr(X,Y)&(![Z]: sP0_prd(Z,Y)))))&~cp(X))&(?[Y]: (rs(X,Y)&cp(Y)))))),
% 0.10/0.38 inference(formula_renaming,[status(thm)],[f62,f63])).
% 0.10/0.38 fof(f65,plain,(
% 0.10/0.38 ![X]: ((~cUnsatisfiable(X)|((((![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))&(?[Y]: (rr(X,Y)&(![Z]: sP0_prd(Z,Y)))))&~cp(X))&(?[Y]: (rs(X,Y)&cp(Y)))))&(cUnsatisfiable(X)|((((?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1))|(![Y]: (~rr(X,Y)|(?[Z]: ~sP0_prd(Z,Y)))))|cp(X))|(![Y]: (~rs(X,Y)|~cp(Y))))))),
% 0.10/0.38 inference(NNF_transformation,[status(thm)],[f64])).
% 0.10/0.38 fof(f66,plain,(
% 0.10/0.38 (![X]: (~cUnsatisfiable(X)|((((![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))&(?[Y]: (rr(X,Y)&(![Z]: sP0_prd(Z,Y)))))&~cp(X))&(?[Y]: (rs(X,Y)&cp(Y))))))&(![X]: (cUnsatisfiable(X)|((((?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1))|(![Y]: (~rr(X,Y)|(?[Z]: ~sP0_prd(Z,Y)))))|cp(X))|(![Y]: (~rs(X,Y)|~cp(Y))))))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f65])).
% 0.10/0.38 fof(f67,plain,(
% 0.10/0.38 (![X]: (~cUnsatisfiable(X)|((((![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))&(rr(X,sK0_skl(X))&(![Z]: sP0_prd(Z,sK0_skl(X)))))&~cp(X))&(rs(X,sK1_skl(X))&cp(sK1_skl(X))))))&(![X]: (cUnsatisfiable(X)|(((((rr(X,sK2_skl(X))&rr(X,sK3_skl(X)))&~sK2_skl(X)=sK3_skl(X))|(![Y]: (~rr(X,Y)|~sP0_prd(sK4_skl(Y,X),Y))))|cp(X))|(![Y]: (~rs(X,Y)|~cp(Y))))))),
% 0.10/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y0,sK2_skl(X)),skolemize(Y1,sK3_skl(X)),skolemize(Z,sK4_skl(Y,X))],[f66])).
% 0.10/0.38 fof(f68,plain,(
% 0.10/0.38 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rr(X0,X1)|~rr(X0,X2)|X1=X2)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.38 fof(f69,plain,(
% 0.10/0.38 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.38 fof(f70,plain,(
% 0.10/0.38 ![X0,X1]: (~cUnsatisfiable(X0)|sP0_prd(X1,sK0_skl(X0)))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.38 fof(f71,plain,(
% 0.10/0.38 ![X0]: (~cUnsatisfiable(X0)|~cp(X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.38 fof(f72,plain,(
% 0.10/0.38 ![X0]: (~cUnsatisfiable(X0)|rs(X0,sK1_skl(X0)))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.38 fof(f77,plain,(
% 0.10/0.38 ![X,Y]: ((~rinvS(X,Y)|rs(Y,X))&(rinvS(X,Y)|~rs(Y,X)))),
% 0.10/0.38 inference(NNF_transformation,[status(thm)],[f16])).
% 0.10/0.38 fof(f78,plain,(
% 0.10/0.38 (![X,Y]: (~rinvS(X,Y)|rs(Y,X)))&(![X,Y]: (rinvS(X,Y)|~rs(Y,X)))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f77])).
% 0.10/0.38 fof(f80,plain,(
% 0.10/0.38 ![X0,X1]: (rinvS(X0,X1)|~rs(X1,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f78])).
% 0.10/0.38 fof(f81,plain,(
% 0.10/0.38 cUnsatisfiable(i2003_11_14_17_19_09372)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.38 fof(f82,plain,(
% 0.10/0.38 ![X,Y]: (~rs(X,Y)|rr(X,Y))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.10/0.38 fof(f83,plain,(
% 0.10/0.38 ![X0,X1]: (~rs(X0,X1)|rr(X0,X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f82])).
% 0.10/0.38 fof(f84,plain,(
% 0.10/0.38 ![Y,Z]: ((~sP0_prd(Z,Y)|(~rinvS(Y,Z)|cp(Z)))&(sP0_prd(Z,Y)|(rinvS(Y,Z)&~cp(Z))))),
% 0.10/0.38 inference(NNF_transformation,[status(thm)],[f63])).
% 0.10/0.38 fof(f85,plain,(
% 0.10/0.38 (![Y,Z]: (~sP0_prd(Z,Y)|(~rinvS(Y,Z)|cp(Z))))&(![Y,Z]: (sP0_prd(Z,Y)|(rinvS(Y,Z)&~cp(Z))))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f84])).
% 0.10/0.38 fof(f86,plain,(
% 0.10/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|~rinvS(X1,X0)|cp(X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f85])).
% 0.10/0.38 fof(f93,plain,(
% 0.10/0.38 rr(i2003_11_14_17_19_09372,sK0_skl(i2003_11_14_17_19_09372))),
% 0.10/0.38 inference(resolution,[status(thm)],[f69,f81])).
% 0.10/0.38 fof(f95,plain,(
% 0.10/0.38 ![X0]: (~cUnsatisfiable(i2003_11_14_17_19_09372)|~rr(i2003_11_14_17_19_09372,X0)|X0=sK0_skl(i2003_11_14_17_19_09372))),
% 0.10/0.38 inference(resolution,[status(thm)],[f93,f68])).
% 0.10/0.38 fof(f96,plain,(
% 0.10/0.38 ![X0]: (~rr(i2003_11_14_17_19_09372,X0)|X0=sK0_skl(i2003_11_14_17_19_09372))),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f95,f81])).
% 0.10/0.38 fof(f100,plain,(
% 0.10/0.38 rs(i2003_11_14_17_19_09372,sK1_skl(i2003_11_14_17_19_09372))),
% 0.10/0.38 inference(resolution,[status(thm)],[f72,f81])).
% 0.10/0.38 fof(f101,plain,(
% 0.10/0.38 rr(i2003_11_14_17_19_09372,sK1_skl(i2003_11_14_17_19_09372))),
% 0.10/0.38 inference(resolution,[status(thm)],[f100,f83])).
% 0.10/0.39 fof(f102,plain,(
% 0.10/0.39 rinvS(sK1_skl(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372)),
% 0.10/0.39 inference(resolution,[status(thm)],[f100,f80])).
% 0.10/0.39 fof(f107,plain,(
% 0.10/0.39 sK1_skl(i2003_11_14_17_19_09372)=sK0_skl(i2003_11_14_17_19_09372)),
% 0.10/0.39 inference(resolution,[status(thm)],[f96,f101])).
% 0.10/0.39 fof(f113,plain,(
% 0.10/0.39 ![X0]: (~cUnsatisfiable(i2003_11_14_17_19_09372)|sP0_prd(X0,sK1_skl(i2003_11_14_17_19_09372)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f107,f70])).
% 0.10/0.39 fof(f114,plain,(
% 0.10/0.39 ![X0]: (sP0_prd(X0,sK1_skl(i2003_11_14_17_19_09372)))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f113,f81])).
% 0.10/0.39 fof(f118,plain,(
% 0.10/0.39 ~sP0_prd(i2003_11_14_17_19_09372,sK1_skl(i2003_11_14_17_19_09372))|cp(i2003_11_14_17_19_09372)),
% 0.10/0.39 inference(resolution,[status(thm)],[f86,f102])).
% 0.10/0.39 fof(f120,plain,(
% 0.10/0.39 cp(i2003_11_14_17_19_09372)),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f118,f114])).
% 0.10/0.39 fof(f124,plain,(
% 0.10/0.39 ~cUnsatisfiable(i2003_11_14_17_19_09372)),
% 0.10/0.39 inference(resolution,[status(thm)],[f120,f71])).
% 0.10/0.39 fof(f125,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f124,f81])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.40 % Elapsed time: 0.028139 seconds
% 0.10/0.40 % CPU time: 0.081609 seconds
% 0.10/0.40 % Total memory used: 2.535 MB
% 0.10/0.40 % Net memory used: 2.477 MB
%------------------------------------------------------------------------------