%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS083+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 : n013.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 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS083+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
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 22:52:39 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f16,axiom,(
% 0.14/0.37 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f18,axiom,(
% 0.14/0.37 (! [X] :( cUnsatisfiable(X)<=> ( (! [Y] :( rinvR(X,Y)=> (? [Z] :( rinvF(Y,Z)& cd(Z) ) )))& ~ cc(X)& (? [Y] :( rinvF(X,Y)& cd(Y) ) )) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f19,axiom,(
% 0.14/0.37 (! [X] :( cd(X)<=> ( (? [Y] :( rf(X,Y)& ~ cc(Y) ))& cc(X) ) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f20,axiom,(
% 0.14/0.37 (! [X] :( cowlThing(X)=> (! [Y0,Y1] :( ( rf(X,Y0)& rf(X,Y1) )=> Y0 = Y1 ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f21,axiom,(
% 0.14/0.37 (! [X,Y] :( rinvF(X,Y)<=> rf(Y,X) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f22,axiom,(
% 0.14/0.37 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f24,axiom,(
% 0.14/0.37 cUnsatisfiable(i2003_11_14_17_19_32337) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f25,axiom,(
% 0.14/0.37 (! [X,Y] :( rf(X,Y)=> rr(X,Y) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f71,plain,(
% 0.14/0.37 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.14/0.37 inference(miniscoping,[status(thm)],[f16])).
% 0.14/0.37 fof(f72,plain,(
% 0.14/0.37 ![X0]: (cowlThing(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f71])).
% 0.14/0.37 fof(f78,plain,(
% 0.14/0.37 ![X]: (cUnsatisfiable(X)<=>(((![Y]: (~rinvR(X,Y)|(?[Z]: (rinvF(Y,Z)&cd(Z)))))&~cc(X))&(?[Y]: (rinvF(X,Y)&cd(Y)))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.14/0.37 fof(f79,plain,(
% 0.14/0.37 ![X]: ((~cUnsatisfiable(X)|(((![Y]: (~rinvR(X,Y)|(?[Z]: (rinvF(Y,Z)&cd(Z)))))&~cc(X))&(?[Y]: (rinvF(X,Y)&cd(Y)))))&(cUnsatisfiable(X)|(((?[Y]: (rinvR(X,Y)&(![Z]: (~rinvF(Y,Z)|~cd(Z)))))|cc(X))|(![Y]: (~rinvF(X,Y)|~cd(Y))))))),
% 0.14/0.37 inference(NNF_transformation,[status(thm)],[f78])).
% 0.14/0.37 fof(f80,plain,(
% 0.14/0.37 (![X]: (~cUnsatisfiable(X)|(((![Y]: (~rinvR(X,Y)|(?[Z]: (rinvF(Y,Z)&cd(Z)))))&~cc(X))&(?[Y]: (rinvF(X,Y)&cd(Y))))))&(![X]: (cUnsatisfiable(X)|(((?[Y]: (rinvR(X,Y)&(![Z]: (~rinvF(Y,Z)|~cd(Z)))))|cc(X))|(![Y]: (~rinvF(X,Y)|~cd(Y))))))),
% 0.14/0.37 inference(miniscoping,[status(thm)],[f79])).
% 0.14/0.37 fof(f81,plain,(
% 0.14/0.37 (![X]: (~cUnsatisfiable(X)|(((![Y]: (~rinvR(X,Y)|(rinvF(Y,sK0_skl(Y,X))&cd(sK0_skl(Y,X)))))&~cc(X))&(rinvF(X,sK1_skl(X))&cd(sK1_skl(X))))))&(![X]: (cUnsatisfiable(X)|(((rinvR(X,sK2_skl(X))&(![Z]: (~rinvF(sK2_skl(X),Z)|~cd(Z))))|cc(X))|(![Y]: (~rinvF(X,Y)|~cd(Y))))))),
% 0.14/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Z,sK0_skl(Y,X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f80])).
% 0.14/0.37 fof(f82,plain,(
% 0.14/0.37 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvR(X0,X1)|rinvF(X1,sK0_skl(X1,X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.37 fof(f83,plain,(
% 0.14/0.37 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvR(X0,X1)|cd(sK0_skl(X1,X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.37 fof(f85,plain,(
% 0.14/0.37 ![X0]: (~cUnsatisfiable(X0)|rinvF(X0,sK1_skl(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.37 fof(f86,plain,(
% 0.14/0.37 ![X0]: (~cUnsatisfiable(X0)|cd(sK1_skl(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.37 fof(f89,plain,(
% 0.14/0.37 ![X]: ((~cd(X)|((?[Y]: (rf(X,Y)&~cc(Y)))&cc(X)))&(cd(X)|((![Y]: (~rf(X,Y)|cc(Y)))|~cc(X))))),
% 0.14/0.37 inference(NNF_transformation,[status(thm)],[f19])).
% 0.14/0.37 fof(f90,plain,(
% 0.14/0.37 (![X]: (~cd(X)|((?[Y]: (rf(X,Y)&~cc(Y)))&cc(X))))&(![X]: (cd(X)|((![Y]: (~rf(X,Y)|cc(Y)))|~cc(X))))),
% 0.14/0.37 inference(miniscoping,[status(thm)],[f89])).
% 0.14/0.37 fof(f91,plain,(
% 0.14/0.37 (![X]: (~cd(X)|((rf(X,sK3_skl(X))&~cc(sK3_skl(X)))&cc(X))))&(![X]: (cd(X)|((![Y]: (~rf(X,Y)|cc(Y)))|~cc(X))))),
% 0.14/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f90])).
% 0.14/0.37 fof(f92,plain,(
% 0.14/0.37 ![X0]: (~cd(X0)|rf(X0,sK3_skl(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f91])).
% 0.14/0.37 fof(f93,plain,(
% 0.14/0.37 ![X0]: (~cd(X0)|~cc(sK3_skl(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f91])).
% 0.14/0.37 fof(f94,plain,(
% 0.14/0.37 ![X0]: (~cd(X0)|cc(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f91])).
% 0.14/0.37 fof(f96,plain,(
% 0.14/0.37 ![X]: (~cowlThing(X)|(![Y0,Y1]: ((~rf(X,Y0)|~rf(X,Y1))|Y0=Y1)))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.14/0.37 fof(f97,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~cowlThing(X0)|~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f96])).
% 0.14/0.37 fof(f98,plain,(
% 0.14/0.37 ![X,Y]: ((~rinvF(X,Y)|rf(Y,X))&(rinvF(X,Y)|~rf(Y,X)))),
% 0.14/0.37 inference(NNF_transformation,[status(thm)],[f21])).
% 0.14/0.37 fof(f99,plain,(
% 0.14/0.37 (![X,Y]: (~rinvF(X,Y)|rf(Y,X)))&(![X,Y]: (rinvF(X,Y)|~rf(Y,X)))),
% 0.14/0.37 inference(miniscoping,[status(thm)],[f98])).
% 0.14/0.37 fof(f100,plain,(
% 0.14/0.37 ![X0,X1]: (~rinvF(X0,X1)|rf(X1,X0))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f99])).
% 0.14/0.37 fof(f102,plain,(
% 0.14/0.37 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.14/0.37 inference(NNF_transformation,[status(thm)],[f22])).
% 0.14/0.37 fof(f103,plain,(
% 0.14/0.37 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.14/0.37 inference(miniscoping,[status(thm)],[f102])).
% 0.14/0.37 fof(f105,plain,(
% 0.14/0.37 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.37 fof(f109,plain,(
% 0.14/0.37 cUnsatisfiable(i2003_11_14_17_19_32337)),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.37 fof(f110,plain,(
% 0.14/0.37 ![X,Y]: (~rf(X,Y)|rr(X,Y))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.14/0.37 fof(f111,plain,(
% 0.14/0.37 ![X0,X1]: (~rf(X0,X1)|rr(X0,X1))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f110])).
% 0.14/0.37 fof(f112,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f97,f72])).
% 0.14/0.37 fof(f114,plain,(
% 0.14/0.37 cd(sK1_skl(i2003_11_14_17_19_32337))),
% 0.14/0.37 inference(resolution,[status(thm)],[f109,f86])).
% 0.14/0.37 fof(f115,plain,(
% 0.14/0.37 rinvF(i2003_11_14_17_19_32337,sK1_skl(i2003_11_14_17_19_32337))),
% 0.14/0.37 inference(resolution,[status(thm)],[f109,f85])).
% 0.14/0.37 fof(f116,plain,(
% 0.14/0.37 cc(sK1_skl(i2003_11_14_17_19_32337))),
% 0.14/0.37 inference(resolution,[status(thm)],[f114,f94])).
% 0.14/0.37 fof(f119,plain,(
% 0.14/0.37 rf(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)),
% 0.14/0.37 inference(resolution,[status(thm)],[f115,f100])).
% 0.14/0.37 fof(f121,definition,(
% 0.14/0.37 sQ0_spl <=> (cUnsatisfiable(i2003_11_14_17_19_32337))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f123,plain,(
% 0.14/0.37 ~cUnsatisfiable(i2003_11_14_17_19_32337)|sQ0_spl),
% 0.14/0.37 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.37 fof(f143,definition,(
% 0.14/0.37 sQ5_spl <=> (cc(sK1_skl(i2003_11_14_17_19_32337)))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f145,plain,(
% 0.14/0.37 ~cc(sK1_skl(i2003_11_14_17_19_32337))|sQ5_spl),
% 0.14/0.37 inference(component_clause,[status(thm)],[f143])).
% 0.14/0.37 fof(f147,plain,(
% 0.14/0.37 rr(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)),
% 0.14/0.37 inference(resolution,[status(thm)],[f119,f111])).
% 0.14/0.37 fof(f167,plain,(
% 0.14/0.37 rinvR(i2003_11_14_17_19_32337,sK1_skl(i2003_11_14_17_19_32337))),
% 0.14/0.37 inference(resolution,[status(thm)],[f147,f105])).
% 0.14/0.37 fof(f172,plain,(
% 0.14/0.37 ~cUnsatisfiable(i2003_11_14_17_19_32337)|cd(sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337))),
% 0.14/0.37 inference(resolution,[status(thm)],[f167,f83])).
% 0.14/0.37 fof(f173,plain,(
% 0.14/0.37 ~cUnsatisfiable(i2003_11_14_17_19_32337)|rinvF(sK1_skl(i2003_11_14_17_19_32337),sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337))),
% 0.14/0.37 inference(resolution,[status(thm)],[f167,f82])).
% 0.14/0.37 fof(f174,definition,(
% 0.14/0.37 sQ8_spl <=> (cd(sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f175,plain,(
% 0.14/0.37 cd(sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337))|~sQ8_spl),
% 0.14/0.37 inference(component_clause,[status(thm)],[f174])).
% 0.14/0.37 fof(f177,plain,(
% 0.14/0.37 ~sQ0_spl|sQ8_spl),
% 0.14/0.37 inference(split_clause,[status(thm)],[f172,f121,f174])).
% 0.14/0.37 fof(f178,definition,(
% 0.14/0.37 sQ9_spl <=> (rinvF(sK1_skl(i2003_11_14_17_19_32337),sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f179,plain,(
% 0.14/0.37 rinvF(sK1_skl(i2003_11_14_17_19_32337),sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337))|~sQ9_spl),
% 0.14/0.37 inference(component_clause,[status(thm)],[f178])).
% 0.14/0.38 fof(f181,plain,(
% 0.14/0.38 ~sQ0_spl|sQ9_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f173,f121,f178])).
% 0.14/0.38 fof(f201,plain,(
% 0.14/0.38 rf(sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),sK3_skl(sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)))|~sQ8_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f175,f92])).
% 0.14/0.38 fof(f202,plain,(
% 0.14/0.38 rf(sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),sK1_skl(i2003_11_14_17_19_32337))|~sQ9_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f179,f100])).
% 0.14/0.38 fof(f225,plain,(
% 0.14/0.38 ![X0]: (~rf(sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),X0)|sK1_skl(i2003_11_14_17_19_32337)=X0|~sQ9_spl)),
% 0.14/0.38 inference(resolution,[status(thm)],[f202,f112])).
% 0.14/0.38 fof(f244,plain,(
% 0.14/0.38 sK1_skl(i2003_11_14_17_19_32337)=sK3_skl(sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337))|~sQ9_spl|~sQ8_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f225,f201])).
% 0.14/0.38 fof(f251,plain,(
% 0.14/0.38 ~cd(sK0_skl(sK1_skl(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337))|~cc(sK1_skl(i2003_11_14_17_19_32337))|~sQ9_spl|~sQ8_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f244,f93])).
% 0.14/0.38 fof(f252,plain,(
% 0.14/0.38 ~sQ8_spl|~sQ5_spl|~sQ9_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f251,f174,f143,f178])).
% 0.14/0.38 fof(f253,plain,(
% 0.14/0.38 $false|sQ5_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f145,f116])).
% 0.14/0.38 fof(f254,plain,(
% 0.14/0.38 sQ5_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f253])).
% 0.14/0.38 fof(f255,plain,(
% 0.14/0.38 $false|sQ0_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f123,f109])).
% 0.14/0.38 fof(f256,plain,(
% 0.14/0.38 sQ0_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f255])).
% 0.14/0.38 fof(f257,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f177,f181,f252,f254,f256])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.030362 seconds
% 0.14/0.39 % CPU time: 0.087453 seconds
% 0.14/0.39 % Total memory used: 3.120 MB
% 0.14/0.39 % Net memory used: 2.976 MB
%------------------------------------------------------------------------------