%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS076+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 : n004.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 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS076+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n004.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 22:52:57 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.10/5.39 % Refutation found
% 0.10/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.39 fof(f21,axiom,(
% 0.10/5.39 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rf(X,Y)& cp(Y) ))& (? [Y] :( rf1(X,Y)& ~ cp(Y)& (! [Z] :( rinvF1(Y,Z)=> (? [W] :( rs(Z,W)& cowlThing(W) ) )) )) )) ) )),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f22,axiom,(
% 0.10/5.39 (! [X,Y,Z] :( ( rf(X,Y)& rf(X,Z) )=> Y = Z ) )),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f23,axiom,(
% 0.10/5.39 (! [X,Y,Z] :( ( rf1(X,Y)& rf1(X,Z) )=> Y = Z ) )),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f25,axiom,(
% 0.10/5.39 (! [X,Y] :( rinvF1(X,Y)<=> rf1(Y,X) ) )),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f28,axiom,(
% 0.10/5.39 cUnsatisfiable(i2003_11_14_17_19_06193) ),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f29,axiom,(
% 0.10/5.39 (! [X,Y] :( rs(X,Y)=> rf1(X,Y) ) )),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f30,axiom,(
% 0.10/5.39 (! [X,Y] :( rs(X,Y)=> rf(X,Y) ) )),
% 0.10/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.39 fof(f92,plain,(
% 0.10/5.39 ![X]: (cUnsatisfiable(X)<=>((?[Y]: (rf(X,Y)&cp(Y)))&(?[Y]: ((rf1(X,Y)&~cp(Y))&(![Z]: (~rinvF1(Y,Z)|(?[W]: (rs(Z,W)&cowlThing(W)))))))))),
% 0.10/5.39 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.10/5.39 fof(f93,plain,(
% 0.10/5.39 ![X]: ((~cUnsatisfiable(X)|((?[Y]: (rf(X,Y)&cp(Y)))&(?[Y]: ((rf1(X,Y)&~cp(Y))&(![Z]: (~rinvF1(Y,Z)|(?[W]: (rs(Z,W)&cowlThing(W)))))))))&(cUnsatisfiable(X)|((![Y]: (~rf(X,Y)|~cp(Y)))|(![Y]: ((~rf1(X,Y)|cp(Y))|(?[Z]: (rinvF1(Y,Z)&(![W]: (~rs(Z,W)|~cowlThing(W))))))))))),
% 0.10/5.39 inference(NNF_transformation,[status(thm)],[f92])).
% 0.10/5.39 fof(f94,plain,(
% 0.10/5.39 (![X]: (~cUnsatisfiable(X)|((?[Y]: (rf(X,Y)&cp(Y)))&(?[Y]: ((rf1(X,Y)&~cp(Y))&(![Z]: (~rinvF1(Y,Z)|(?[W]: (rs(Z,W)&cowlThing(W))))))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rf(X,Y)|~cp(Y)))|(![Y]: ((~rf1(X,Y)|cp(Y))|(?[Z]: (rinvF1(Y,Z)&(![W]: (~rs(Z,W)|~cowlThing(W))))))))))),
% 0.10/5.39 inference(miniscoping,[status(thm)],[f93])).
% 0.10/5.39 fof(f95,plain,(
% 0.10/5.39 (![X]: (~cUnsatisfiable(X)|((rf(X,sK0_skl(X))&cp(sK0_skl(X)))&((rf1(X,sK1_skl(X))&~cp(sK1_skl(X)))&(![Z]: (~rinvF1(sK1_skl(X),Z)|(rs(Z,sK2_skl(Z,X))&cowlThing(sK2_skl(Z,X)))))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rf(X,Y)|~cp(Y)))|(![Y]: ((~rf1(X,Y)|cp(Y))|(rinvF1(Y,sK3_skl(Y,X))&(![W]: (~rs(sK3_skl(Y,X),W)|~cowlThing(W)))))))))),
% 0.10/5.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(W,sK2_skl(Z,X)),skolemize(Z,sK3_skl(Y,X))],[f94])).
% 0.10/5.39 fof(f96,plain,(
% 0.10/5.39 ![X0]: (~cUnsatisfiable(X0)|rf(X0,sK0_skl(X0)))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.10/5.39 fof(f97,plain,(
% 0.10/5.39 ![X0]: (~cUnsatisfiable(X0)|cp(sK0_skl(X0)))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.10/5.39 fof(f98,plain,(
% 0.10/5.39 ![X0]: (~cUnsatisfiable(X0)|rf1(X0,sK1_skl(X0)))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.10/5.39 fof(f99,plain,(
% 0.10/5.39 ![X0]: (~cUnsatisfiable(X0)|~cp(sK1_skl(X0)))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.10/5.39 fof(f100,plain,(
% 0.10/5.39 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvF1(sK1_skl(X0),X1)|rs(X1,sK2_skl(X1,X0)))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.10/5.39 fof(f104,plain,(
% 0.10/5.39 ![X,Y,Z]: ((~rf(X,Y)|~rf(X,Z))|Y=Z)),
% 0.10/5.39 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.10/5.39 fof(f105,plain,(
% 0.10/5.39 ![Y,Z]: ((![X]: (~rf(X,Y)|~rf(X,Z)))|Y=Z)),
% 0.10/5.39 inference(miniscoping,[status(thm)],[f104])).
% 0.10/5.39 fof(f106,plain,(
% 0.10/5.39 ![X0,X1,X2]: (~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f105])).
% 0.10/5.39 fof(f107,plain,(
% 0.10/5.39 ![X,Y,Z]: ((~rf1(X,Y)|~rf1(X,Z))|Y=Z)),
% 0.10/5.39 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.10/5.39 fof(f108,plain,(
% 0.10/5.39 ![Y,Z]: ((![X]: (~rf1(X,Y)|~rf1(X,Z)))|Y=Z)),
% 0.10/5.39 inference(miniscoping,[status(thm)],[f107])).
% 0.10/5.39 fof(f109,plain,(
% 0.10/5.39 ![X0,X1,X2]: (~rf1(X0,X1)|~rf1(X0,X2)|X1=X2)),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f108])).
% 0.10/5.39 fof(f114,plain,(
% 0.10/5.39 ![X,Y]: ((~rinvF1(X,Y)|rf1(Y,X))&(rinvF1(X,Y)|~rf1(Y,X)))),
% 0.10/5.39 inference(NNF_transformation,[status(thm)],[f25])).
% 0.10/5.39 fof(f115,plain,(
% 0.10/5.39 (![X,Y]: (~rinvF1(X,Y)|rf1(Y,X)))&(![X,Y]: (rinvF1(X,Y)|~rf1(Y,X)))),
% 0.10/5.39 inference(miniscoping,[status(thm)],[f114])).
% 0.10/5.39 fof(f117,plain,(
% 0.10/5.39 ![X0,X1]: (rinvF1(X0,X1)|~rf1(X1,X0))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f115])).
% 0.10/5.39 fof(f125,plain,(
% 0.10/5.39 cUnsatisfiable(i2003_11_14_17_19_06193)),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/5.39 fof(f126,plain,(
% 0.10/5.39 ![X,Y]: (~rs(X,Y)|rf1(X,Y))),
% 0.10/5.39 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.10/5.39 fof(f127,plain,(
% 0.10/5.39 ![X0,X1]: (~rs(X0,X1)|rf1(X0,X1))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f126])).
% 0.10/5.39 fof(f128,plain,(
% 0.10/5.39 ![X,Y]: (~rs(X,Y)|rf(X,Y))),
% 0.10/5.39 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.10/5.39 fof(f129,plain,(
% 0.10/5.39 ![X0,X1]: (~rs(X0,X1)|rf(X0,X1))),
% 0.10/5.39 inference(cnf_transformation,[status(thm)],[f128])).
% 0.10/5.39 fof(f131,plain,(
% 0.10/5.39 rf(i2003_11_14_17_19_06193,sK0_skl(i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(resolution,[status(thm)],[f96,f125])).
% 0.10/5.39 fof(f132,plain,(
% 0.10/5.39 cp(sK0_skl(i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(resolution,[status(thm)],[f97,f125])).
% 0.10/5.39 fof(f133,plain,(
% 0.10/5.39 rf1(i2003_11_14_17_19_06193,sK1_skl(i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(resolution,[status(thm)],[f98,f125])).
% 0.10/5.39 fof(f135,plain,(
% 0.10/5.39 ![X0]: (~rf(i2003_11_14_17_19_06193,X0)|X0=sK0_skl(i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(resolution,[status(thm)],[f131,f106])).
% 0.10/5.39 fof(f138,plain,(
% 0.10/5.39 rinvF1(sK1_skl(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)),
% 0.10/5.39 inference(resolution,[status(thm)],[f133,f117])).
% 0.10/5.39 fof(f139,plain,(
% 0.10/5.39 ![X0]: (~rf1(i2003_11_14_17_19_06193,X0)|X0=sK1_skl(i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(resolution,[status(thm)],[f133,f109])).
% 0.10/5.39 fof(f142,plain,(
% 0.10/5.39 ~cUnsatisfiable(i2003_11_14_17_19_06193)|rs(i2003_11_14_17_19_06193,sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(resolution,[status(thm)],[f138,f100])).
% 0.10/5.39 fof(f144,plain,(
% 0.10/5.39 rs(i2003_11_14_17_19_06193,sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(forward_subsumption_resolution,[status(thm)],[f142,f125])).
% 0.10/5.39 fof(f146,plain,(
% 0.10/5.39 rf(i2003_11_14_17_19_06193,sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(resolution,[status(thm)],[f144,f129])).
% 0.10/5.39 fof(f147,plain,(
% 0.10/5.39 rf1(i2003_11_14_17_19_06193,sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(resolution,[status(thm)],[f144,f127])).
% 0.10/5.39 fof(f150,plain,(
% 0.10/5.39 sK2_skl(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)=sK0_skl(i2003_11_14_17_19_06193)),
% 0.10/5.39 inference(resolution,[status(thm)],[f146,f135])).
% 0.10/5.39 fof(f161,plain,(
% 0.10/5.39 rf1(i2003_11_14_17_19_06193,sK0_skl(i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(backward_demodulation,[status(thm)],[f150,f147])).
% 0.10/5.39 fof(f169,plain,(
% 0.10/5.39 sK0_skl(i2003_11_14_17_19_06193)=sK1_skl(i2003_11_14_17_19_06193)),
% 0.10/5.39 inference(resolution,[status(thm)],[f161,f139])).
% 0.10/5.39 fof(f178,plain,(
% 0.10/5.39 ~cUnsatisfiable(i2003_11_14_17_19_06193)|~cp(sK0_skl(i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(paramodulation,[status(thm)],[f169,f99])).
% 0.10/5.39 fof(f180,plain,(
% 0.10/5.39 ~cp(sK0_skl(i2003_11_14_17_19_06193))),
% 0.10/5.39 inference(forward_subsumption_resolution,[status(thm)],[f178,f125])).
% 0.10/5.39 fof(f183,plain,(
% 0.10/5.39 $false),
% 0.10/5.39 inference(forward_subsumption_resolution,[status(thm)],[f180,f132])).
% 0.10/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.41 % Elapsed time: 0.030232 seconds
% 0.13/5.41 % CPU time: 0.087563 seconds
% 0.13/5.41 % Total memory used: 3.013 MB
% 0.13/5.41 % Net memory used: 2.886 MB
%------------------------------------------------------------------------------