%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS086+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 : n001.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 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS086+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 : n001.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 22:58:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f15,axiom,(
% 0.14/0.36 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f17,axiom,(
% 0.14/0.36 (! [X] :( cUnsatisfiable(X)<=> (? [Y] :( rf(X,Y)& (? [Z] :( rinvF(Y,Z)& (? [W] :( rf(Z,W)& ~ cp1(W) ) )))& cp1(Y) ) )) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f18,axiom,(
% 0.14/0.36 (! [X] :( cowlThing(X)=> (! [Y0,Y1] :( ( rf(X,Y0)& rf(X,Y1) )=> Y0 = Y1 ) )) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f19,axiom,(
% 0.14/0.36 (! [X,Y] :( rinvF(X,Y)<=> rf(Y,X) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f22,axiom,(
% 0.14/0.36 cUnsatisfiable(i2003_11_14_17_19_42328) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f65,plain,(
% 0.14/0.36 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.14/0.36 inference(miniscoping,[status(thm)],[f15])).
% 0.14/0.36 fof(f66,plain,(
% 0.14/0.36 ![X0]: (cowlThing(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.36 fof(f72,plain,(
% 0.14/0.36 ![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)))))),
% 0.14/0.36 inference(NNF_transformation,[status(thm)],[f17])).
% 0.14/0.36 fof(f73,plain,(
% 0.14/0.36 (![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)))))),
% 0.14/0.36 inference(miniscoping,[status(thm)],[f72])).
% 0.14/0.36 fof(f74,plain,(
% 0.14/0.36 (![X]: (~cUnsatisfiable(X)|((rf(X,sK0_skl(X))&(rinvF(sK0_skl(X),sK1_skl(X))&(rf(sK1_skl(X),sK2_skl(X))&~cp1(sK2_skl(X)))))&cp1(sK0_skl(X)))))&(![X]: (cUnsatisfiable(X)|(![Y]: ((~rf(X,Y)|(![Z]: (~rinvF(Y,Z)|(![W]: (~rf(Z,W)|cp1(W))))))|~cp1(Y)))))),
% 0.14/0.36 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(X))],[f73])).
% 0.14/0.36 fof(f76,plain,(
% 0.14/0.36 ![X0]: (~cUnsatisfiable(X0)|rinvF(sK0_skl(X0),sK1_skl(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f74])).
% 0.14/0.36 fof(f77,plain,(
% 0.14/0.36 ![X0]: (~cUnsatisfiable(X0)|rf(sK1_skl(X0),sK2_skl(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f74])).
% 0.14/0.36 fof(f78,plain,(
% 0.14/0.36 ![X0]: (~cUnsatisfiable(X0)|~cp1(sK2_skl(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f74])).
% 0.14/0.36 fof(f79,plain,(
% 0.14/0.36 ![X0]: (~cUnsatisfiable(X0)|cp1(sK0_skl(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f74])).
% 0.14/0.36 fof(f81,plain,(
% 0.14/0.36 ![X]: (~cowlThing(X)|(![Y0,Y1]: ((~rf(X,Y0)|~rf(X,Y1))|Y0=Y1)))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.14/0.36 fof(f82,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~cowlThing(X0)|~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.36 fof(f83,plain,(
% 0.14/0.36 ![X,Y]: ((~rinvF(X,Y)|rf(Y,X))&(rinvF(X,Y)|~rf(Y,X)))),
% 0.14/0.36 inference(NNF_transformation,[status(thm)],[f19])).
% 0.14/0.36 fof(f84,plain,(
% 0.14/0.36 (![X,Y]: (~rinvF(X,Y)|rf(Y,X)))&(![X,Y]: (rinvF(X,Y)|~rf(Y,X)))),
% 0.14/0.36 inference(miniscoping,[status(thm)],[f83])).
% 0.14/0.36 fof(f85,plain,(
% 0.14/0.36 ![X0,X1]: (~rinvF(X0,X1)|rf(X1,X0))),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f84])).
% 0.14/0.36 fof(f94,plain,(
% 0.14/0.36 cUnsatisfiable(i2003_11_14_17_19_42328)),
% 0.14/0.36 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.36 fof(f95,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f82,f66])).
% 0.14/0.36 fof(f101,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~rf(X0,X1)|X1=X2|~rinvF(X2,X0))),
% 0.14/0.36 inference(resolution,[status(thm)],[f95,f85])).
% 0.14/0.36 fof(f106,plain,(
% 0.14/0.36 rf(sK1_skl(i2003_11_14_17_19_42328),sK2_skl(i2003_11_14_17_19_42328))),
% 0.14/0.36 inference(resolution,[status(thm)],[f77,f94])).
% 0.14/0.36 fof(f107,plain,(
% 0.14/0.36 ![X0]: (sK2_skl(i2003_11_14_17_19_42328)=X0|~rinvF(X0,sK1_skl(i2003_11_14_17_19_42328)))),
% 0.14/0.36 inference(resolution,[status(thm)],[f106,f101])).
% 0.14/0.36 fof(f122,plain,(
% 0.14/0.36 sK2_skl(i2003_11_14_17_19_42328)=sK0_skl(i2003_11_14_17_19_42328)|~cUnsatisfiable(i2003_11_14_17_19_42328)),
% 0.14/0.36 inference(resolution,[status(thm)],[f107,f76])).
% 0.14/0.36 fof(f126,plain,(
% 0.14/0.36 sK2_skl(i2003_11_14_17_19_42328)=sK0_skl(i2003_11_14_17_19_42328)),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f122,f94])).
% 0.14/0.36 fof(f130,plain,(
% 0.14/0.36 ~cUnsatisfiable(i2003_11_14_17_19_42328)|cp1(sK2_skl(i2003_11_14_17_19_42328))),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f126,f79])).
% 0.14/0.36 fof(f133,plain,(
% 0.14/0.36 cp1(sK2_skl(i2003_11_14_17_19_42328))),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f130,f94])).
% 0.14/0.36 fof(f134,plain,(
% 0.14/0.36 ~cUnsatisfiable(i2003_11_14_17_19_42328)),
% 0.14/0.36 inference(resolution,[status(thm)],[f133,f78])).
% 0.14/0.36 fof(f136,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f134,f94])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.025466 seconds
% 0.14/0.38 % CPU time: 0.029595 seconds
% 0.14/0.38 % Total memory used: 701.248 KB
% 0.14/0.38 % Net memory used: 686.720 KB
%------------------------------------------------------------------------------