%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS088+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 : 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 0.14s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS088+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n011.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sun Sep 20 22:53:10 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.14/0.59 % Refutation found
% 0.14/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.59 fof(f17,axiom,(
% 0.14/0.59 (! [X] :( cUnsatisfiable(X)<=> (? [Y] :( rf(X,Y)& (! [Z] :( rinvF(Y,Z)=> (? [W] :( rf(Z,W)& ~ cp1(W) ) )))& cp1(Y) ) )) )),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f18,axiom,(
% 0.14/0.59 (! [X,Y,Z] :( ( rf(X,Y)& rf(X,Z) )=> Y = Z ) )),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f19,axiom,(
% 0.14/0.59 (! [X,Y] :( rinvF(X,Y)<=> rf(Y,X) ) )),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f22,axiom,(
% 0.14/0.59 cUnsatisfiable(i2003_11_14_17_19_49673) ),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f72,plain,(
% 0.14/0.59 ![X]: (cUnsatisfiable(X)<=>(?[Y]: ((rf(X,Y)&(![Z]: (~rinvF(Y,Z)|(?[W]: (rf(Z,W)&~cp1(W))))))&cp1(Y))))),
% 0.14/0.59 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.14/0.59 fof(f73,plain,(
% 0.14/0.59 ![X]: ((~cUnsatisfiable(X)|(?[Y]: ((rf(X,Y)&(![Z]: (~rinvF(Y,Z)|(?[W]: (rf(Z,W)&~cp1(W))))))&cp1(Y))))&(cUnsatisfiable(X)|(![Y]: ((~rf(X,Y)|(?[Z]: (rinvF(Y,Z)&(![W]: (~rf(Z,W)|cp1(W))))))|~cp1(Y)))))),
% 0.14/0.59 inference(NNF_transformation,[status(thm)],[f72])).
% 0.14/0.59 fof(f74,plain,(
% 0.14/0.59 (![X]: (~cUnsatisfiable(X)|(?[Y]: ((rf(X,Y)&(![Z]: (~rinvF(Y,Z)|(?[W]: (rf(Z,W)&~cp1(W))))))&cp1(Y)))))&(![X]: (cUnsatisfiable(X)|(![Y]: ((~rf(X,Y)|(?[Z]: (rinvF(Y,Z)&(![W]: (~rf(Z,W)|cp1(W))))))|~cp1(Y)))))),
% 0.14/0.59 inference(miniscoping,[status(thm)],[f73])).
% 0.14/0.59 fof(f75,plain,(
% 0.14/0.59 (![X]: (~cUnsatisfiable(X)|((rf(X,sK0_skl(X))&(![Z]: (~rinvF(sK0_skl(X),Z)|(rf(Z,sK1_skl(Z,X))&~cp1(sK1_skl(Z,X))))))&cp1(sK0_skl(X)))))&(![X]: (cUnsatisfiable(X)|(![Y]: ((~rf(X,Y)|(rinvF(Y,sK2_skl(Y,X))&(![W]: (~rf(sK2_skl(Y,X),W)|cp1(W)))))|~cp1(Y)))))),
% 0.14/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(W,sK1_skl(Z,X)),skolemize(Z,sK2_skl(Y,X))],[f74])).
% 0.14/0.59 fof(f76,plain,(
% 0.14/0.59 ![X0]: (~cUnsatisfiable(X0)|rf(X0,sK0_skl(X0)))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f75])).
% 0.14/0.59 fof(f77,plain,(
% 0.14/0.59 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvF(sK0_skl(X0),X1)|rf(X1,sK1_skl(X1,X0)))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f75])).
% 0.14/0.59 fof(f78,plain,(
% 0.14/0.59 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvF(sK0_skl(X0),X1)|~cp1(sK1_skl(X1,X0)))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f75])).
% 0.14/0.59 fof(f79,plain,(
% 0.14/0.59 ![X0]: (~cUnsatisfiable(X0)|cp1(sK0_skl(X0)))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f75])).
% 0.14/0.59 fof(f82,plain,(
% 0.14/0.59 ![X,Y,Z]: ((~rf(X,Y)|~rf(X,Z))|Y=Z)),
% 0.14/0.59 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.14/0.59 fof(f83,plain,(
% 0.14/0.59 ![Y,Z]: ((![X]: (~rf(X,Y)|~rf(X,Z)))|Y=Z)),
% 0.14/0.59 inference(miniscoping,[status(thm)],[f82])).
% 0.14/0.59 fof(f84,plain,(
% 0.14/0.59 ![X0,X1,X2]: (~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f83])).
% 0.14/0.59 fof(f85,plain,(
% 0.14/0.59 ![X,Y]: ((~rinvF(X,Y)|rf(Y,X))&(rinvF(X,Y)|~rf(Y,X)))),
% 0.14/0.59 inference(NNF_transformation,[status(thm)],[f19])).
% 0.14/0.59 fof(f86,plain,(
% 0.14/0.59 (![X,Y]: (~rinvF(X,Y)|rf(Y,X)))&(![X,Y]: (rinvF(X,Y)|~rf(Y,X)))),
% 0.14/0.59 inference(miniscoping,[status(thm)],[f85])).
% 0.14/0.59 fof(f88,plain,(
% 0.14/0.59 ![X0,X1]: (rinvF(X0,X1)|~rf(X1,X0))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f86])).
% 0.14/0.59 fof(f96,plain,(
% 0.14/0.59 cUnsatisfiable(i2003_11_14_17_19_49673)),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.59 fof(f99,plain,(
% 0.14/0.59 rf(i2003_11_14_17_19_49673,sK0_skl(i2003_11_14_17_19_49673))),
% 0.14/0.59 inference(resolution,[status(thm)],[f76,f96])).
% 0.14/0.59 fof(f100,plain,(
% 0.14/0.59 rinvF(sK0_skl(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673)),
% 0.14/0.59 inference(resolution,[status(thm)],[f99,f88])).
% 0.14/0.59 fof(f101,plain,(
% 0.14/0.59 ![X0]: (~rf(i2003_11_14_17_19_49673,X0)|X0=sK0_skl(i2003_11_14_17_19_49673))),
% 0.14/0.59 inference(resolution,[status(thm)],[f84,f99])).
% 0.14/0.59 fof(f103,plain,(
% 0.14/0.59 ![X0]: (~rinvF(sK0_skl(i2003_11_14_17_19_49673),X0)|rf(X0,sK1_skl(X0,i2003_11_14_17_19_49673)))),
% 0.14/0.59 inference(resolution,[status(thm)],[f77,f96])).
% 0.14/0.59 fof(f108,plain,(
% 0.14/0.59 rf(i2003_11_14_17_19_49673,sK1_skl(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673))),
% 0.14/0.59 inference(resolution,[status(thm)],[f103,f100])).
% 0.14/0.59 fof(f109,plain,(
% 0.14/0.59 sK1_skl(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)=sK0_skl(i2003_11_14_17_19_49673)),
% 0.14/0.59 inference(resolution,[status(thm)],[f108,f101])).
% 0.14/0.59 fof(f115,plain,(
% 0.14/0.59 ~cUnsatisfiable(i2003_11_14_17_19_49673)|~rinvF(sK0_skl(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673)|~cp1(sK0_skl(i2003_11_14_17_19_49673))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f109,f78])).
% 0.14/0.59 fof(f116,plain,(
% 0.14/0.59 ~rinvF(sK0_skl(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673)|~cp1(sK0_skl(i2003_11_14_17_19_49673))),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f115,f96])).
% 0.14/0.59 fof(f117,plain,(
% 0.14/0.59 ~rinvF(sK0_skl(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673)|~cUnsatisfiable(i2003_11_14_17_19_49673)),
% 0.14/0.59 inference(resolution,[status(thm)],[f116,f79])).
% 0.14/0.59 fof(f119,plain,(
% 0.14/0.59 ~cUnsatisfiable(i2003_11_14_17_19_49673)),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f117,f100])).
% 0.14/0.59 fof(f120,plain,(
% 0.14/0.59 $false),
% 0.14/0.59 inference(backward_subsumption_resolution,[status(thm)],[f96,f119])).
% 0.14/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.61 % Elapsed time: 0.029115 seconds
% 0.14/0.61 % CPU time: 0.078626 seconds
% 0.14/0.61 % Total memory used: 2.341 MB
% 0.14/0.61 % Net memory used: 2.254 MB
%------------------------------------------------------------------------------