%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS084+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 01:00:14 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 : KRS084+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
% 0.09/10.36 % Computer : n004.cluster.edu
% 0.09/10.36 % Model : x86_64 x86_64
% 0.09/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.36 % Memory : 8046.5625MB
% 0.09/10.36 % OS : Linux 6.8.0-71-generic
% 0.09/10.36 % CPULimit : 300
% 0.09/10.36 % WCLimit : 300
% 0.09/10.36 % DateTime : Sun Sep 20 22:53:20 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 % 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(f18,axiom,(
% 0.09/10.39 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rinvF(X,Y)& cd(Y) ))& (! [Y] :( rinvR(X,Y)=> (? [Z] :( rinvF(Y,Z)& cd(Z) ) )))& ~ cc(X) ) ) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f19,axiom,(
% 0.09/10.39 (! [X] :( cd(X)<=> ( (? [Y] :( rf(X,Y)& ~ cc(Y) ))& cc(X) ) ) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f20,axiom,(
% 0.09/10.39 (! [X,Y,Z] :( ( rf(X,Y)& rf(X,Z) )=> Y = Z ) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f21,axiom,(
% 0.09/10.39 (! [X,Y] :( rinvF(X,Y)<=> rf(Y,X) ) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f22,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(f24,axiom,(
% 0.09/10.39 cUnsatisfiable(i2003_11_14_17_19_35232) ),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f25,axiom,(
% 0.09/10.39 (! [X,Y] :( rf(X,Y)=> rr(X,Y) ) )),
% 0.09/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/10.39 fof(f78,plain,(
% 0.09/10.39 ![X]: (cUnsatisfiable(X)<=>(((?[Y]: (rinvF(X,Y)&cd(Y)))&(![Y]: (~rinvR(X,Y)|(?[Z]: (rinvF(Y,Z)&cd(Z))))))&~cc(X)))),
% 0.09/10.39 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.09/10.39 fof(f79,plain,(
% 0.09/10.39 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rinvF(X,Y)&cd(Y)))&(![Y]: (~rinvR(X,Y)|(?[Z]: (rinvF(Y,Z)&cd(Z))))))&~cc(X)))&(cUnsatisfiable(X)|(((![Y]: (~rinvF(X,Y)|~cd(Y)))|(?[Y]: (rinvR(X,Y)&(![Z]: (~rinvF(Y,Z)|~cd(Z))))))|cc(X))))),
% 0.09/10.39 inference(NNF_transformation,[status(thm)],[f78])).
% 0.09/10.39 fof(f80,plain,(
% 0.09/10.39 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rinvF(X,Y)&cd(Y)))&(![Y]: (~rinvR(X,Y)|(?[Z]: (rinvF(Y,Z)&cd(Z))))))&~cc(X))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rinvF(X,Y)|~cd(Y)))|(?[Y]: (rinvR(X,Y)&(![Z]: (~rinvF(Y,Z)|~cd(Z))))))|cc(X))))),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f79])).
% 0.09/10.39 fof(f81,plain,(
% 0.09/10.39 (![X]: (~cUnsatisfiable(X)|(((rinvF(X,sK0_skl(X))&cd(sK0_skl(X)))&(![Y]: (~rinvR(X,Y)|(rinvF(Y,sK1_skl(Y,X))&cd(sK1_skl(Y,X))))))&~cc(X))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rinvF(X,Y)|~cd(Y)))|(rinvR(X,sK2_skl(X))&(![Z]: (~rinvF(sK2_skl(X),Z)|~cd(Z)))))|cc(X))))),
% 0.09/10.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(Y,X)),skolemize(Y,sK2_skl(X))],[f80])).
% 0.09/10.39 fof(f82,plain,(
% 0.09/10.39 ![X0]: (~cUnsatisfiable(X0)|rinvF(X0,sK0_skl(X0)))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f81])).
% 0.09/10.39 fof(f83,plain,(
% 0.09/10.39 ![X0]: (~cUnsatisfiable(X0)|cd(sK0_skl(X0)))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f81])).
% 0.09/10.39 fof(f84,plain,(
% 0.09/10.39 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvR(X0,X1)|rinvF(X1,sK1_skl(X1,X0)))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f81])).
% 0.09/10.39 fof(f85,plain,(
% 0.09/10.39 ![X0,X1]: (~cUnsatisfiable(X0)|~rinvR(X0,X1)|cd(sK1_skl(X1,X0)))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f81])).
% 0.09/10.39 fof(f89,plain,(
% 0.09/10.39 ![X]: ((~cd(X)|((?[Y]: (rf(X,Y)&~cc(Y)))&cc(X)))&(cd(X)|((![Y]: (~rf(X,Y)|cc(Y)))|~cc(X))))),
% 0.09/10.39 inference(NNF_transformation,[status(thm)],[f19])).
% 0.09/10.39 fof(f90,plain,(
% 0.09/10.39 (![X]: (~cd(X)|((?[Y]: (rf(X,Y)&~cc(Y)))&cc(X))))&(![X]: (cd(X)|((![Y]: (~rf(X,Y)|cc(Y)))|~cc(X))))),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f89])).
% 0.09/10.39 fof(f91,plain,(
% 0.09/10.39 (![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))))),
% 0.09/10.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f90])).
% 0.09/10.39 fof(f92,plain,(
% 0.09/10.39 ![X0]: (~cd(X0)|rf(X0,sK3_skl(X0)))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f91])).
% 0.09/10.39 fof(f93,plain,(
% 0.09/10.39 ![X0]: (~cd(X0)|~cc(sK3_skl(X0)))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f91])).
% 0.09/10.39 fof(f94,plain,(
% 0.09/10.39 ![X0]: (~cd(X0)|cc(X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f91])).
% 0.09/10.39 fof(f96,plain,(
% 0.09/10.39 ![X,Y,Z]: ((~rf(X,Y)|~rf(X,Z))|Y=Z)),
% 0.09/10.39 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.09/10.39 fof(f97,plain,(
% 0.09/10.39 ![Y,Z]: ((![X]: (~rf(X,Y)|~rf(X,Z)))|Y=Z)),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f96])).
% 0.09/10.39 fof(f98,plain,(
% 0.09/10.39 ![X0,X1,X2]: (~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f97])).
% 0.09/10.39 fof(f99,plain,(
% 0.09/10.39 ![X,Y]: ((~rinvF(X,Y)|rf(Y,X))&(rinvF(X,Y)|~rf(Y,X)))),
% 0.09/10.39 inference(NNF_transformation,[status(thm)],[f21])).
% 0.09/10.39 fof(f100,plain,(
% 0.09/10.39 (![X,Y]: (~rinvF(X,Y)|rf(Y,X)))&(![X,Y]: (rinvF(X,Y)|~rf(Y,X)))),
% 0.09/10.39 inference(miniscoping,[status(thm)],[f99])).
% 0.09/10.39 fof(f101,plain,(
% 0.09/10.39 ![X0,X1]: (~rinvF(X0,X1)|rf(X1,X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f100])).
% 0.09/10.39 fof(f103,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)],[f22])).
% 0.09/10.39 fof(f104,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)],[f103])).
% 0.09/10.39 fof(f106,plain,(
% 0.09/10.39 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f104])).
% 0.09/10.39 fof(f110,plain,(
% 0.09/10.39 cUnsatisfiable(i2003_11_14_17_19_35232)),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/10.39 fof(f111,plain,(
% 0.09/10.39 ![X,Y]: (~rf(X,Y)|rr(X,Y))),
% 0.09/10.39 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.09/10.39 fof(f112,plain,(
% 0.09/10.39 ![X0,X1]: (~rf(X0,X1)|rr(X0,X1))),
% 0.09/10.39 inference(cnf_transformation,[status(thm)],[f111])).
% 0.09/10.39 fof(f114,plain,(
% 0.09/10.39 cd(sK0_skl(i2003_11_14_17_19_35232))),
% 0.09/10.39 inference(resolution,[status(thm)],[f110,f83])).
% 0.09/10.39 fof(f115,plain,(
% 0.09/10.39 rinvF(i2003_11_14_17_19_35232,sK0_skl(i2003_11_14_17_19_35232))),
% 0.09/10.39 inference(resolution,[status(thm)],[f110,f82])).
% 0.09/10.39 fof(f116,plain,(
% 0.09/10.39 cc(sK0_skl(i2003_11_14_17_19_35232))),
% 0.09/10.39 inference(resolution,[status(thm)],[f114,f94])).
% 0.09/10.39 fof(f119,plain,(
% 0.09/10.39 rf(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)),
% 0.09/10.39 inference(resolution,[status(thm)],[f115,f101])).
% 0.09/10.39 fof(f122,definition,(
% 0.09/10.39 sQ0_spl <=> (cUnsatisfiable(i2003_11_14_17_19_35232))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f124,plain,(
% 0.09/10.39 ~cUnsatisfiable(i2003_11_14_17_19_35232)|sQ0_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f122])).
% 0.09/10.39 fof(f146,definition,(
% 0.09/10.39 sQ6_spl <=> (cc(sK0_skl(i2003_11_14_17_19_35232)))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f148,plain,(
% 0.09/10.39 ~cc(sK0_skl(i2003_11_14_17_19_35232))|sQ6_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f146])).
% 0.09/10.39 fof(f150,plain,(
% 0.09/10.39 $false|sQ6_spl),
% 0.09/10.39 inference(forward_subsumption_resolution,[status(thm)],[f148,f116])).
% 0.09/10.39 fof(f151,plain,(
% 0.09/10.39 sQ6_spl),
% 0.09/10.39 inference(contradiction_clause,[status(thm)],[f150])).
% 0.09/10.39 fof(f152,plain,(
% 0.09/10.39 rr(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)),
% 0.09/10.39 inference(resolution,[status(thm)],[f119,f112])).
% 0.09/10.39 fof(f177,plain,(
% 0.09/10.39 rinvR(i2003_11_14_17_19_35232,sK0_skl(i2003_11_14_17_19_35232))),
% 0.09/10.39 inference(resolution,[status(thm)],[f152,f106])).
% 0.09/10.39 fof(f183,plain,(
% 0.09/10.39 ~cUnsatisfiable(i2003_11_14_17_19_35232)|cd(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232))),
% 0.09/10.39 inference(resolution,[status(thm)],[f177,f85])).
% 0.09/10.39 fof(f184,plain,(
% 0.09/10.39 ~cUnsatisfiable(i2003_11_14_17_19_35232)|rinvF(sK0_skl(i2003_11_14_17_19_35232),sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232))),
% 0.09/10.39 inference(resolution,[status(thm)],[f177,f84])).
% 0.09/10.39 fof(f185,definition,(
% 0.09/10.39 sQ10_spl <=> (cd(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f186,plain,(
% 0.09/10.39 cd(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232))|~sQ10_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f185])).
% 0.09/10.39 fof(f188,plain,(
% 0.09/10.39 ~sQ0_spl|sQ10_spl),
% 0.09/10.39 inference(split_clause,[status(thm)],[f183,f122,f185])).
% 0.09/10.39 fof(f189,definition,(
% 0.09/10.39 sQ11_spl <=> (rinvF(sK0_skl(i2003_11_14_17_19_35232),sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)))),
% 0.09/10.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/10.39 fof(f190,plain,(
% 0.09/10.39 rinvF(sK0_skl(i2003_11_14_17_19_35232),sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232))|~sQ11_spl),
% 0.09/10.39 inference(component_clause,[status(thm)],[f189])).
% 0.09/10.39 fof(f192,plain,(
% 0.09/10.39 ~sQ0_spl|sQ11_spl),
% 0.09/10.39 inference(split_clause,[status(thm)],[f184,f122,f189])).
% 0.09/10.39 fof(f255,plain,(
% 0.09/10.39 rf(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),sK3_skl(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)))|~sQ10_spl),
% 0.14/10.40 inference(resolution,[status(thm)],[f186,f92])).
% 0.14/10.40 fof(f262,plain,(
% 0.14/10.40 rf(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),sK0_skl(i2003_11_14_17_19_35232))|~sQ11_spl),
% 0.14/10.40 inference(resolution,[status(thm)],[f190,f101])).
% 0.14/10.40 fof(f278,plain,(
% 0.14/10.40 ![X0]: (~rf(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),X0)|sK3_skl(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232))=X0|~sQ10_spl)),
% 0.14/10.40 inference(resolution,[status(thm)],[f255,f98])).
% 0.14/10.40 fof(f280,definition,(
% 0.14/10.40 sQ23_spl <=> (cc(sK3_skl(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232))))),
% 0.14/10.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/10.40 fof(f281,plain,(
% 0.14/10.40 cc(sK3_skl(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)))|~sQ23_spl),
% 0.14/10.40 inference(component_clause,[status(thm)],[f280])).
% 0.14/10.40 fof(f282,plain,(
% 0.14/10.40 ~cc(sK3_skl(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)))|sQ23_spl),
% 0.14/10.40 inference(component_clause,[status(thm)],[f280])).
% 0.14/10.40 fof(f308,plain,(
% 0.14/10.40 ~cd(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232))|~sQ23_spl),
% 0.14/10.40 inference(resolution,[status(thm)],[f281,f93])).
% 0.14/10.40 fof(f310,plain,(
% 0.14/10.40 $false|~sQ10_spl|~sQ23_spl),
% 0.14/10.40 inference(forward_subsumption_resolution,[status(thm)],[f308,f186])).
% 0.14/10.40 fof(f311,plain,(
% 0.14/10.40 ~sQ10_spl|~sQ23_spl),
% 0.14/10.40 inference(contradiction_clause,[status(thm)],[f310])).
% 0.14/10.40 fof(f312,plain,(
% 0.14/10.40 sK3_skl(sK1_skl(sK0_skl(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232))=sK0_skl(i2003_11_14_17_19_35232)|~sQ10_spl|~sQ11_spl),
% 0.14/10.40 inference(resolution,[status(thm)],[f278,f262])).
% 0.14/10.40 fof(f318,plain,(
% 0.14/10.40 ~cc(sK0_skl(i2003_11_14_17_19_35232))|~sQ10_spl|~sQ11_spl|sQ23_spl),
% 0.14/10.40 inference(backward_demodulation,[status(thm)],[f312,f282])).
% 0.14/10.40 fof(f322,plain,(
% 0.14/10.40 ~sQ6_spl|~sQ10_spl|~sQ11_spl|sQ23_spl),
% 0.14/10.40 inference(split_clause,[status(thm)],[f318,f146,f185,f189,f280])).
% 0.14/10.40 fof(f325,plain,(
% 0.14/10.40 $false|sQ0_spl),
% 0.14/10.40 inference(forward_subsumption_resolution,[status(thm)],[f124,f110])).
% 0.14/10.40 fof(f326,plain,(
% 0.14/10.40 sQ0_spl),
% 0.14/10.40 inference(contradiction_clause,[status(thm)],[f325])).
% 0.14/10.40 fof(f327,plain,(
% 0.14/10.40 $false),
% 0.14/10.40 inference(sat_refutation,[status(thm)],[f151,f188,f192,f311,f322,f326])).
% 0.14/10.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.41 % Elapsed time: 0.039373 seconds
% 0.14/10.41 % CPU time: 0.093032 seconds
% 0.14/10.41 % Total memory used: 3.236 MB
% 0.14/10.41 % Net memory used: 3.062 MB
%------------------------------------------------------------------------------