%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS073+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 : n020.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 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS073+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
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 22:53:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f21,axiom,(
% 0.12/0.37 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rf(X,Y)& (! [Z] :( rinvS(Y,Z)=> cp(Z) ))& (! [Z] :( rinvF(Y,Z)=> (? [W] :( rs(Z,W)& cp(W) ) )) )))& ~ cp(X) ) ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f22,axiom,(
% 0.12/0.37 (! [X,Y,Z] :( ( rf(X,Y)& rf(X,Z) )=> Y = Z ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f24,axiom,(
% 0.12/0.37 (! [X,Y] :( rinvF(X,Y)<=> rf(Y,X) ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f26,axiom,(
% 0.12/0.37 (! [X,Y] :( rinvS(X,Y)<=> rs(Y,X) ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f28,axiom,(
% 0.12/0.37 cUnsatisfiable(i2003_11_14_17_18_54369) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f30,axiom,(
% 0.12/0.37 (! [X,Y] :( rs(X,Y)=> rf(X,Y) ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f92,plain,(
% 0.12/0.37 ![X]: (cUnsatisfiable(X)<=>((?[Y]: ((rf(X,Y)&(![Z]: (~rinvS(Y,Z)|cp(Z))))&(![Z]: (~rinvF(Y,Z)|(?[W]: (rs(Z,W)&cp(W)))))))&~cp(X)))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.12/0.37 fof(f93,plain,(
% 0.12/0.37 ![X]: ((~cUnsatisfiable(X)|((?[Y]: ((rf(X,Y)&(![Z]: (~rinvS(Y,Z)|cp(Z))))&(![Z]: (~rinvF(Y,Z)|(?[W]: (rs(Z,W)&cp(W)))))))&~cp(X)))&(cUnsatisfiable(X)|((![Y]: ((~rf(X,Y)|(?[Z]: (rinvS(Y,Z)&~cp(Z))))|(?[Z]: (rinvF(Y,Z)&(![W]: (~rs(Z,W)|~cp(W)))))))|cp(X))))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f92])).
% 0.12/0.37 fof(f94,plain,(
% 0.12/0.37 (![X]: (~cUnsatisfiable(X)|((?[Y]: ((rf(X,Y)&(![Z]: (~rinvS(Y,Z)|cp(Z))))&(![Z]: (~rinvF(Y,Z)|(?[W]: (rs(Z,W)&cp(W)))))))&~cp(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rf(X,Y)|(?[Z]: (rinvS(Y,Z)&~cp(Z))))|(?[Z]: (rinvF(Y,Z)&(![W]: (~rs(Z,W)|~cp(W)))))))|cp(X))))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f93])).
% 0.12/0.37 fof(f95,plain,(
% 0.12/0.37 (![X]: (~cUnsatisfiable(X)|(((rf(X,sK0_skl(X))&(![Z]: (~rinvS(sK0_skl(X),Z)|cp(Z))))&(![Z]: (~rinvF(sK0_skl(X),Z)|(rs(Z,sK1_skl(Z,X))&cp(sK1_skl(Z,X))))))&~cp(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rf(X,Y)|(rinvS(Y,sK2_skl(Y,X))&~cp(sK2_skl(Y,X))))|(rinvF(Y,sK3_skl(Y,X))&(![W]: (~rs(sK3_skl(Y,X),W)|~cp(W))))))|cp(X))))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(W,sK1_skl(Z,X)),skolemize(Z,sK2_skl(Y,X)),skolemize(Z,sK3_skl(Y,X))],[f94])).
% 0.12/0.37 fof(f96,plain,(
% 0.12/0.37 ![X0]: (~cUnsatisfiable(X0)|rf(X0,sK0_skl(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f95])).
% 0.12/0.37 fof(f97,plain,(
% 0.12/0.37 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvS(sK0_skl(X0),X1)|cp(X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f95])).
% 0.12/0.37 fof(f98,plain,(
% 0.12/0.37 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvF(sK0_skl(X0),X1)|rs(X1,sK1_skl(X1,X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f95])).
% 0.12/0.37 fof(f100,plain,(
% 0.12/0.37 ![X0]: (~cUnsatisfiable(X0)|~cp(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f95])).
% 0.12/0.37 fof(f105,plain,(
% 0.12/0.37 ![X,Y,Z]: ((~rf(X,Y)|~rf(X,Z))|Y=Z)),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.12/0.37 fof(f106,plain,(
% 0.12/0.37 ![Y,Z]: ((![X]: (~rf(X,Y)|~rf(X,Z)))|Y=Z)),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f105])).
% 0.12/0.37 fof(f107,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f106])).
% 0.12/0.37 fof(f111,plain,(
% 0.12/0.37 ![X,Y]: ((~rinvF(X,Y)|rf(Y,X))&(rinvF(X,Y)|~rf(Y,X)))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f24])).
% 0.12/0.37 fof(f112,plain,(
% 0.12/0.37 (![X,Y]: (~rinvF(X,Y)|rf(Y,X)))&(![X,Y]: (rinvF(X,Y)|~rf(Y,X)))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f111])).
% 0.12/0.37 fof(f114,plain,(
% 0.12/0.37 ![X0,X1]: (rinvF(X0,X1)|~rf(X1,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f112])).
% 0.12/0.37 fof(f119,plain,(
% 0.12/0.37 ![X,Y]: ((~rinvS(X,Y)|rs(Y,X))&(rinvS(X,Y)|~rs(Y,X)))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f26])).
% 0.12/0.37 fof(f120,plain,(
% 0.12/0.37 (![X,Y]: (~rinvS(X,Y)|rs(Y,X)))&(![X,Y]: (rinvS(X,Y)|~rs(Y,X)))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f119])).
% 0.12/0.37 fof(f122,plain,(
% 0.12/0.37 ![X0,X1]: (rinvS(X0,X1)|~rs(X1,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f120])).
% 0.12/0.37 fof(f126,plain,(
% 0.12/0.37 cUnsatisfiable(i2003_11_14_17_18_54369)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.37 fof(f129,plain,(
% 0.12/0.37 ![X,Y]: (~rs(X,Y)|rf(X,Y))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.12/0.37 fof(f130,plain,(
% 0.12/0.37 ![X0,X1]: (~rs(X0,X1)|rf(X0,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f129])).
% 0.12/0.37 fof(f132,plain,(
% 0.12/0.37 rf(i2003_11_14_17_18_54369,sK0_skl(i2003_11_14_17_18_54369))),
% 0.12/0.37 inference(resolution,[status(thm)],[f126,f96])).
% 0.12/0.37 fof(f133,plain,(
% 0.12/0.37 rinvF(sK0_skl(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)),
% 0.12/0.37 inference(resolution,[status(thm)],[f132,f114])).
% 0.12/0.37 fof(f134,plain,(
% 0.12/0.37 ![X0]: (~rf(i2003_11_14_17_18_54369,X0)|sK0_skl(i2003_11_14_17_18_54369)=X0)),
% 0.12/0.37 inference(resolution,[status(thm)],[f132,f107])).
% 0.12/0.37 fof(f136,definition,(
% 0.12/0.37 sQ0_spl <=> (cUnsatisfiable(i2003_11_14_17_18_54369))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f138,plain,(
% 0.12/0.37 ~cUnsatisfiable(i2003_11_14_17_18_54369)|sQ0_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f136])).
% 0.12/0.37 fof(f145,definition,(
% 0.12/0.37 sQ3_spl <=> (cp(i2003_11_14_17_18_54369))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f146,plain,(
% 0.12/0.37 cp(i2003_11_14_17_18_54369)|~sQ3_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f145])).
% 0.12/0.37 fof(f150,plain,(
% 0.12/0.37 ~cUnsatisfiable(i2003_11_14_17_18_54369)|rs(i2003_11_14_17_18_54369,sK1_skl(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369))),
% 0.12/0.37 inference(resolution,[status(thm)],[f133,f98])).
% 0.12/0.37 fof(f156,definition,(
% 0.12/0.37 sQ5_spl <=> (rs(i2003_11_14_17_18_54369,sK1_skl(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f157,plain,(
% 0.12/0.37 rs(i2003_11_14_17_18_54369,sK1_skl(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369))|~sQ5_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f156])).
% 0.12/0.37 fof(f159,plain,(
% 0.12/0.37 ~sQ0_spl|sQ5_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f150,f136,f156])).
% 0.12/0.37 fof(f160,plain,(
% 0.12/0.37 $false|sQ0_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f138,f126])).
% 0.12/0.37 fof(f161,plain,(
% 0.12/0.37 sQ0_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f160])).
% 0.12/0.37 fof(f163,plain,(
% 0.12/0.37 rf(i2003_11_14_17_18_54369,sK1_skl(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369))|~sQ5_spl),
% 0.12/0.37 inference(resolution,[status(thm)],[f157,f130])).
% 0.12/0.37 fof(f166,plain,(
% 0.12/0.37 rinvS(sK1_skl(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)|~sQ5_spl),
% 0.12/0.37 inference(resolution,[status(thm)],[f157,f122])).
% 0.12/0.37 fof(f168,plain,(
% 0.12/0.37 sK0_skl(i2003_11_14_17_18_54369)=sK1_skl(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369)|~sQ5_spl),
% 0.12/0.37 inference(resolution,[status(thm)],[f163,f134])).
% 0.12/0.37 fof(f176,plain,(
% 0.12/0.37 rinvS(sK0_skl(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)|~sQ5_spl),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f168,f166])).
% 0.12/0.37 fof(f193,plain,(
% 0.12/0.37 ~cUnsatisfiable(i2003_11_14_17_18_54369)|cp(i2003_11_14_17_18_54369)|~sQ5_spl),
% 0.12/0.37 inference(resolution,[status(thm)],[f176,f97])).
% 0.12/0.37 fof(f195,plain,(
% 0.12/0.37 ~sQ0_spl|sQ3_spl|~sQ5_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f193,f136,f145,f156])).
% 0.12/0.37 fof(f196,plain,(
% 0.12/0.37 ~cUnsatisfiable(i2003_11_14_17_18_54369)|~sQ3_spl),
% 0.12/0.37 inference(resolution,[status(thm)],[f146,f100])).
% 0.12/0.37 fof(f197,plain,(
% 0.12/0.37 ~sQ0_spl|~sQ3_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f196,f136,f145])).
% 0.12/0.37 fof(f198,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f159,f161,f195,f197])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.032298 seconds
% 0.12/0.39 % CPU time: 0.084498 seconds
% 0.12/0.39 % Total memory used: 3.020 MB
% 0.12/0.39 % Net memory used: 2.922 MB
%------------------------------------------------------------------------------