%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS082+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 : n014.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 0.09s 10.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS082+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
% 0.09/10.37 % Computer : n014.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sun Sep 20 22:53:17 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.38 % Drodi V4.1.1
% 0.09/10.39 % Refutation found
% 0.09/10.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/10.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/10.39 fof(f3,axiom,(
% 0.09/10.39 (! [X] :( cUnsatisfiable(X)=> (? [Y] :( rs(X,Y)& (? [Z] :( rp(Y,Z)& cowlThing(Z) ))& (! [Z] :( rr(Y,Z)=> cc(Z) ))& (! [Z] :( rp(Y,Z)=> (? [W] :( rr(Z,W)& cowlThing(W) ) )))& (! [Z] :( rp(Y,Z)=> (? [W] :( rp(Z,W)& cowlThing(W) ) )))& (! [Z] :( rp(Y,Z)=> (! [W] :( rr(Z,W)=> cc(W) ) )))& (? [Z] :( rr(Y,Z)& cowlThing(Z) ) )) )) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f4,axiom,(
% 0.09/10.39 (! [X] :( cUnsatisfiable(X)=> ca(X) ) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f5,axiom,(
% 0.09/10.39 (! [X] :( cc(X)<=> (! [Y] :( rinvR(X,Y)=> (! [Z] :( rinvP(Y,Z)=> (! [W] :( rinvS(Z,W)=> ~ ca(W) ) )) )) )) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f6,axiom,(
% 0.09/10.39 (! [X,Y] :( rinvP(X,Y)<=> rp(Y,X) ) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f7,axiom,(
% 0.09/10.39 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f8,axiom,(
% 0.09/10.39 (! [X,Y] :( rinvS(X,Y)<=> rs(Y,X) ) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f10,axiom,(
% 0.09/10.39 cUnsatisfiable(i2003_11_14_17_19_28752) ),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f18,plain,(
% 0.09/10.39 ![X]: (~cUnsatisfiable(X)|(?[Y]: ((((((rs(X,Y)&(?[Z]: (rp(Y,Z)&cowlThing(Z))))&(![Z]: (~rr(Y,Z)|cc(Z))))&(![Z]: (~rp(Y,Z)|(?[W]: (rr(Z,W)&cowlThing(W))))))&(![Z]: (~rp(Y,Z)|(?[W]: (rp(Z,W)&cowlThing(W))))))&(![Z]: (~rp(Y,Z)|(![W]: (~rr(Z,W)|cc(W))))))&(?[Z]: (rr(Y,Z)&cowlThing(Z))))))),
% 0.09/10.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/10.39 fof(f19,plain,(
% 0.09/10.39 ![X]: (~cUnsatisfiable(X)|((((((rs(X,sK0_skl(X))&(rp(sK0_skl(X),sK1_skl(X))&cowlThing(sK1_skl(X))))&(![Z]: (~rr(sK0_skl(X),Z)|cc(Z))))&(![Z]: (~rp(sK0_skl(X),Z)|(rr(Z,sK2_skl(Z,X))&cowlThing(sK2_skl(Z,X))))))&(![Z]: (~rp(sK0_skl(X),Z)|(rp(Z,sK3_skl(Z,X))&cowlThing(sK3_skl(Z,X))))))&(![Z]: (~rp(sK0_skl(X),Z)|(![W]: (~rr(Z,W)|cc(W))))))&(rr(sK0_skl(X),sK4_skl(X))&cowlThing(sK4_skl(X)))))),
% 0.09/10.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X)),skolemize(W,sK2_skl(Z,X)),skolemize(W,sK3_skl(Z,X)),skolemize(Z,sK4_skl(X))],[f18])).
% 0.09/10.39 fof(f20,plain,(
% 0.09/10.39 ![X0]: (~cUnsatisfiable(X0)|rs(X0,sK0_skl(X0)))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/10.39 fof(f21,plain,(
% 0.09/10.39 ![X0]: (~cUnsatisfiable(X0)|rp(sK0_skl(X0),sK1_skl(X0)))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/10.39 fof(f24,plain,(
% 0.09/10.39 ![X0,X1]: (~cUnsatisfiable(X0)|~rp(sK0_skl(X0),X1)|rr(X1,sK2_skl(X1,X0)))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/10.39 fof(f28,plain,(
% 0.09/10.39 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rp(sK0_skl(X0),X1)|~rr(X1,X2)|cc(X2))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/10.39 fof(f31,plain,(
% 0.09/10.39 ![X]: (~cUnsatisfiable(X)|ca(X))),
% 0.09/10.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/10.39 fof(f32,plain,(
% 0.09/10.39 ![X0]: (~cUnsatisfiable(X0)|ca(X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/10.39 fof(f33,plain,(
% 0.09/10.39 ![X]: (cc(X)<=>(![Y]: (~rinvR(X,Y)|(![Z]: (~rinvP(Y,Z)|(![W]: (~rinvS(Z,W)|~ca(W))))))))),
% 0.09/10.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/10.39 fof(f34,plain,(
% 0.09/10.39 ![X]: ((~cc(X)|(![Y]: (~rinvR(X,Y)|(![Z]: (~rinvP(Y,Z)|(![W]: (~rinvS(Z,W)|~ca(W))))))))&(cc(X)|(?[Y]: (rinvR(X,Y)&(?[Z]: (rinvP(Y,Z)&(?[W]: (rinvS(Z,W)&ca(W)))))))))),
% 0.09/10.39 inference(NNF_transformation,[status(thm)],[f33])).
% 0.09/10.39 fof(f35,plain,(
% 0.09/10.39 (![X]: (~cc(X)|(![Y]: (~rinvR(X,Y)|(![Z]: (~rinvP(Y,Z)|(![W]: (~rinvS(Z,W)|~ca(W)))))))))&(![X]: (cc(X)|(?[Y]: (rinvR(X,Y)&(?[Z]: (rinvP(Y,Z)&(?[W]: (rinvS(Z,W)&ca(W)))))))))),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f34])).
% 0.09/10.39 fof(f36,plain,(
% 0.09/10.39 (![X]: (~cc(X)|(![Y]: (~rinvR(X,Y)|(![Z]: (~rinvP(Y,Z)|(![W]: (~rinvS(Z,W)|~ca(W)))))))))&(![X]: (cc(X)|(rinvR(X,sK5_skl(X))&(rinvP(sK5_skl(X),sK6_skl(X))&(rinvS(sK6_skl(X),sK7_skl(X))&ca(sK7_skl(X)))))))),
% 0.09/10.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl]),skolemize(Y,sK5_skl(X)),skolemize(Z,sK6_skl(X)),skolemize(W,sK7_skl(X))],[f35])).
% 0.09/10.39 fof(f37,plain,(
% 0.09/10.39 ![X0,X1,X2,X3]: (~cc(X0)|~rinvR(X0,X1)|~rinvP(X1,X2)|~rinvS(X2,X3)|~ca(X3))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/10.39 fof(f42,plain,(
% 0.09/10.39 ![X,Y]: ((~rinvP(X,Y)|rp(Y,X))&(rinvP(X,Y)|~rp(Y,X)))),
% 0.09/10.39 inference(NNF_transformation,[status(thm)],[f6])).
% 0.09/10.39 fof(f43,plain,(
% 0.09/10.39 (![X,Y]: (~rinvP(X,Y)|rp(Y,X)))&(![X,Y]: (rinvP(X,Y)|~rp(Y,X)))),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f42])).
% 0.09/10.39 fof(f45,plain,(
% 0.09/10.39 ![X0,X1]: (rinvP(X0,X1)|~rp(X1,X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/10.39 fof(f46,plain,(
% 0.09/10.39 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.09/10.39 inference(NNF_transformation,[status(thm)],[f7])).
% 0.09/10.39 fof(f47,plain,(
% 0.09/10.39 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f46])).
% 0.09/10.39 fof(f49,plain,(
% 0.09/10.39 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f47])).
% 0.09/10.39 fof(f50,plain,(
% 0.09/10.39 ![X,Y]: ((~rinvS(X,Y)|rs(Y,X))&(rinvS(X,Y)|~rs(Y,X)))),
% 0.09/10.39 inference(NNF_transformation,[status(thm)],[f8])).
% 0.09/10.39 fof(f51,plain,(
% 0.09/10.39 (![X,Y]: (~rinvS(X,Y)|rs(Y,X)))&(![X,Y]: (rinvS(X,Y)|~rs(Y,X)))),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f50])).
% 0.09/10.39 fof(f53,plain,(
% 0.09/10.39 ![X0,X1]: (rinvS(X0,X1)|~rs(X1,X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/10.39 fof(f57,plain,(
% 0.09/10.39 cUnsatisfiable(i2003_11_14_17_19_28752)),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/10.39 fof(f59,plain,(
% 0.09/10.39 ca(i2003_11_14_17_19_28752)),
% 0.09/10.39 inference(resolution,[status(thm)],[f32,f57])).
% 0.09/10.39 fof(f60,plain,(
% 0.09/10.39 rs(i2003_11_14_17_19_28752,sK0_skl(i2003_11_14_17_19_28752))),
% 0.09/10.39 inference(resolution,[status(thm)],[f20,f57])).
% 0.09/10.39 fof(f61,plain,(
% 0.09/10.39 rp(sK0_skl(i2003_11_14_17_19_28752),sK1_skl(i2003_11_14_17_19_28752))),
% 0.09/10.39 inference(resolution,[status(thm)],[f21,f57])).
% 0.09/10.39 fof(f68,plain,(
% 0.09/10.39 rinvS(sK0_skl(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752)),
% 0.09/10.39 inference(resolution,[status(thm)],[f60,f53])).
% 0.09/10.39 fof(f71,plain,(
% 0.09/10.39 ![X0]: (~cUnsatisfiable(i2003_11_14_17_19_28752)|~rr(sK1_skl(i2003_11_14_17_19_28752),X0)|cc(X0))),
% 0.09/10.39 inference(resolution,[status(thm)],[f61,f28])).
% 0.09/10.39 fof(f73,plain,(
% 0.09/10.39 ~cUnsatisfiable(i2003_11_14_17_19_28752)|rr(sK1_skl(i2003_11_14_17_19_28752),sK2_skl(sK1_skl(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752))),
% 0.09/10.39 inference(resolution,[status(thm)],[f61,f24])).
% 0.09/10.39 fof(f74,plain,(
% 0.09/10.39 rinvP(sK1_skl(i2003_11_14_17_19_28752),sK0_skl(i2003_11_14_17_19_28752))),
% 0.09/10.39 inference(resolution,[status(thm)],[f61,f45])).
% 0.09/10.39 fof(f75,definition,(
% 0.09/10.39 sQ0_spl <=> (cUnsatisfiable(i2003_11_14_17_19_28752))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f77,plain,(
% 0.09/10.39 ~cUnsatisfiable(i2003_11_14_17_19_28752)|sQ0_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f75])).
% 0.09/10.39 fof(f78,definition,(
% 0.09/10.39 ![X0]: (sQ1_spl <=> (~rr(sK1_skl(i2003_11_14_17_19_28752),X0)|cc(X0)))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f79,plain,(
% 0.09/10.39 ![X0]: (~rr(sK1_skl(i2003_11_14_17_19_28752),X0)|cc(X0)|~sQ1_spl)),
% 0.09/10.39 inference(component_clause,[status(thm)],[f78])).
% 0.09/10.39 fof(f81,plain,(
% 0.09/10.39 ~sQ0_spl|sQ1_spl),
% 0.09/10.39 inference(split_clause,[status(thm)],[f71,f75,f78])).
% 0.09/10.39 fof(f86,definition,(
% 0.09/10.39 sQ3_spl <=> (rr(sK1_skl(i2003_11_14_17_19_28752),sK2_skl(sK1_skl(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752)))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f87,plain,(
% 0.09/10.39 rr(sK1_skl(i2003_11_14_17_19_28752),sK2_skl(sK1_skl(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752))|~sQ3_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f86])).
% 0.09/10.39 fof(f89,plain,(
% 0.09/10.39 ~sQ0_spl|sQ3_spl),
% 0.09/10.39 inference(split_clause,[status(thm)],[f73,f75,f86])).
% 0.09/10.39 fof(f90,plain,(
% 0.09/10.39 $false|sQ0_spl),
% 0.09/10.39 inference(forward_subsumption_resolution,[status(thm)],[f77,f57])).
% 0.09/10.39 fof(f91,plain,(
% 0.09/10.39 sQ0_spl),
% 0.09/10.39 inference(contradiction_clause,[status(thm)],[f90])).
% 0.09/10.39 fof(f104,plain,(
% 0.09/10.39 ![X0,X1]: (~cc(X0)|~rinvR(X0,X1)|~rinvP(X1,sK0_skl(i2003_11_14_17_19_28752))|~ca(i2003_11_14_17_19_28752))),
% 0.09/10.39 inference(resolution,[status(thm)],[f37,f68])).
% 0.09/10.39 fof(f106,definition,(
% 0.09/10.39 ![X0]: (sQ5_spl <=> (~cc(X0)|~rinvR(X0,sK1_skl(i2003_11_14_17_19_28752))))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f107,plain,(
% 0.09/10.39 ![X0]: (~cc(X0)|~rinvR(X0,sK1_skl(i2003_11_14_17_19_28752))|~sQ5_spl)),
% 0.09/10.39 inference(component_clause,[status(thm)],[f106])).
% 0.09/10.39 fof(f113,definition,(
% 0.09/10.39 ![X0,X1]: (sQ7_spl <=> (~cc(X0)|~rinvR(X0,X1)|~rinvP(X1,sK0_skl(i2003_11_14_17_19_28752))))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f114,plain,(
% 0.09/10.39 ![X0,X1]: (~cc(X0)|~rinvR(X0,X1)|~rinvP(X1,sK0_skl(i2003_11_14_17_19_28752))|~sQ7_spl)),
% 0.09/10.39 inference(component_clause,[status(thm)],[f113])).
% 0.09/10.39 fof(f116,definition,(
% 0.09/10.39 sQ8_spl <=> (ca(i2003_11_14_17_19_28752))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f118,plain,(
% 0.09/10.39 ~ca(i2003_11_14_17_19_28752)|sQ8_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f116])).
% 0.09/10.39 fof(f119,plain,(
% 0.09/10.39 sQ7_spl|~sQ8_spl),
% 0.09/10.39 inference(split_clause,[status(thm)],[f104,f113,f116])).
% 0.09/10.39 fof(f129,plain,(
% 0.09/10.39 cc(sK2_skl(sK1_skl(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752))|~sQ3_spl|~sQ1_spl),
% 0.09/10.39 inference(resolution,[status(thm)],[f87,f79])).
% 0.09/10.39 fof(f130,plain,(
% 0.09/10.39 rinvR(sK2_skl(sK1_skl(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752),sK1_skl(i2003_11_14_17_19_28752))|~sQ3_spl),
% 0.09/10.39 inference(resolution,[status(thm)],[f87,f49])).
% 0.09/10.39 fof(f131,plain,(
% 0.09/10.39 ![X0]: (~cc(X0)|~rinvR(X0,sK1_skl(i2003_11_14_17_19_28752))|~sQ7_spl)),
% 0.09/10.39 inference(resolution,[status(thm)],[f114,f74])).
% 0.09/10.39 fof(f141,plain,(
% 0.09/10.39 ~cc(sK2_skl(sK1_skl(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752))|~sQ3_spl|~sQ5_spl),
% 0.09/10.39 inference(resolution,[status(thm)],[f130,f107])).
% 0.09/10.39 fof(f143,plain,(
% 0.09/10.39 $false|~sQ1_spl|~sQ3_spl|~sQ5_spl),
% 0.09/10.39 inference(forward_subsumption_resolution,[status(thm)],[f141,f129])).
% 0.09/10.39 fof(f144,plain,(
% 0.09/10.39 ~sQ1_spl|~sQ3_spl|~sQ5_spl),
% 0.09/10.39 inference(contradiction_clause,[status(thm)],[f143])).
% 0.09/10.39 fof(f145,plain,(
% 0.09/10.39 sQ5_spl|~sQ7_spl),
% 0.09/10.39 inference(split_clause,[status(thm)],[f131,f106,f113])).
% 0.09/10.39 fof(f146,plain,(
% 0.09/10.39 $false|sQ8_spl),
% 0.09/10.39 inference(forward_subsumption_resolution,[status(thm)],[f118,f59])).
% 0.09/10.39 fof(f147,plain,(
% 0.09/10.39 sQ8_spl),
% 0.09/10.39 inference(contradiction_clause,[status(thm)],[f146])).
% 0.09/10.39 fof(f148,plain,(
% 0.09/10.39 $false),
% 0.09/10.39 inference(sat_refutation,[status(thm)],[f81,f89,f91,f119,f144,f145,f147])).
% 0.09/10.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.41 % Elapsed time: 0.032457 seconds
% 0.13/10.41 % CPU time: 0.085444 seconds
% 0.13/10.41 % Total memory used: 2.582 MB
% 0.13/10.41 % Net memory used: 2.518 MB
%------------------------------------------------------------------------------