%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS121+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 : n019.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 01:00:17 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS121+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
% 0.10/0.35 % Computer : n019.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 22:54:22 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f22,axiom,(
% 0.13/0.38 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& ca_Vx3(Y) ))& cp1(X) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f23,axiom,(
% 0.13/0.38 (! [X] :( cp1(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f24,axiom,(
% 0.13/0.38 (! [X] :( cp1xcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f25,axiom,(
% 0.13/0.38 (! [X] :( ca_Ax2(X)<=> ( cp1(X)& (! [Y] :( rinvR(X,Y)=> cp1xcomp(Y) ) )) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f26,axiom,(
% 0.13/0.38 (! [X] :( ca_Vx3(X)<=> (? [Y] :( rr(X,Y)& ca_Ax2(Y) ) )) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f29,axiom,(
% 0.13/0.38 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f30,axiom,(
% 0.13/0.38 (! [X,Y,Z] :( ( rr(X,Y)& rr(Y,Z) )=> rr(X,Z) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f31,axiom,(
% 0.13/0.38 cUnsatisfiable(i2003_11_14_17_21_5199) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f96,plain,(
% 0.13/0.38 ![X]: ((~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&ca_Vx3(Y)))&cp1(X)))&(cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~ca_Vx3(Y)))|~cp1(X))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f97,plain,(
% 0.13/0.38 (![X]: (~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&ca_Vx3(Y)))&cp1(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~ca_Vx3(Y)))|~cp1(X))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f96])).
% 0.13/0.38 fof(f98,plain,(
% 0.13/0.38 (![X]: (~cUnsatisfiable(X)|((rr(X,sK0_skl(X))&ca_Vx3(sK0_skl(X)))&cp1(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~ca_Vx3(Y)))|~cp1(X))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f97])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f98])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 ![X0]: (~cUnsatisfiable(X0)|ca_Vx3(sK0_skl(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f98])).
% 0.13/0.38 fof(f101,plain,(
% 0.13/0.38 ![X0]: (~cUnsatisfiable(X0)|cp1(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f98])).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 ![X]: (cp1(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f104,plain,(
% 0.13/0.38 ![X]: ((~cp1(X)|(![Y]: ~ra_Px1(X,Y)))&(cp1(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f103])).
% 0.13/0.38 fof(f105,plain,(
% 0.13/0.38 (![X]: (~cp1(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp1(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f104])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 (![X]: (~cp1(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp1(X)|ra_Px1(X,sK1_skl(X))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f105])).
% 0.13/0.38 fof(f107,plain,(
% 0.13/0.38 ![X0,X1]: (~cp1(X0)|~ra_Px1(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f106])).
% 0.13/0.38 fof(f109,plain,(
% 0.13/0.38 ![X]: ((~cp1xcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f24])).
% 0.13/0.38 fof(f110,plain,(
% 0.13/0.38 (![X]: (~cp1xcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f109])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 (![X]: (~cp1xcomp(X)|ra_Px1(X,sK2_skl(X))))&(![X]: (cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y0,sK2_skl(X))],[f110])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 ![X0]: (~cp1xcomp(X0)|ra_Px1(X0,sK2_skl(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f111])).
% 0.13/0.38 fof(f114,plain,(
% 0.13/0.38 ![X]: (ca_Ax2(X)<=>(cp1(X)&(![Y]: (~rinvR(X,Y)|cp1xcomp(Y)))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.13/0.38 fof(f115,plain,(
% 0.13/0.38 ![X]: ((~ca_Ax2(X)|(cp1(X)&(![Y]: (~rinvR(X,Y)|cp1xcomp(Y)))))&(ca_Ax2(X)|(~cp1(X)|(?[Y]: (rinvR(X,Y)&~cp1xcomp(Y))))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f114])).
% 0.13/0.38 fof(f116,plain,(
% 0.13/0.38 (![X]: (~ca_Ax2(X)|(cp1(X)&(![Y]: (~rinvR(X,Y)|cp1xcomp(Y))))))&(![X]: (ca_Ax2(X)|(~cp1(X)|(?[Y]: (rinvR(X,Y)&~cp1xcomp(Y))))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f115])).
% 0.13/0.38 fof(f117,plain,(
% 0.13/0.38 (![X]: (~ca_Ax2(X)|(cp1(X)&(![Y]: (~rinvR(X,Y)|cp1xcomp(Y))))))&(![X]: (ca_Ax2(X)|(~cp1(X)|(rinvR(X,sK3_skl(X))&~cp1xcomp(sK3_skl(X))))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f116])).
% 0.13/0.38 fof(f119,plain,(
% 0.13/0.38 ![X0,X1]: (~ca_Ax2(X0)|~rinvR(X0,X1)|cp1xcomp(X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f117])).
% 0.13/0.38 fof(f122,plain,(
% 0.13/0.38 ![X]: ((~ca_Vx3(X)|(?[Y]: (rr(X,Y)&ca_Ax2(Y))))&(ca_Vx3(X)|(![Y]: (~rr(X,Y)|~ca_Ax2(Y)))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f26])).
% 0.13/0.38 fof(f123,plain,(
% 0.13/0.38 (![X]: (~ca_Vx3(X)|(?[Y]: (rr(X,Y)&ca_Ax2(Y)))))&(![X]: (ca_Vx3(X)|(![Y]: (~rr(X,Y)|~ca_Ax2(Y)))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f122])).
% 0.13/0.38 fof(f124,plain,(
% 0.13/0.38 (![X]: (~ca_Vx3(X)|(rr(X,sK4_skl(X))&ca_Ax2(sK4_skl(X)))))&(![X]: (ca_Vx3(X)|(![Y]: (~rr(X,Y)|~ca_Ax2(Y)))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f123])).
% 0.13/0.38 fof(f125,plain,(
% 0.13/0.38 ![X0]: (~ca_Vx3(X0)|rr(X0,sK4_skl(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f124])).
% 0.13/0.38 fof(f126,plain,(
% 0.13/0.38 ![X0]: (~ca_Vx3(X0)|ca_Ax2(sK4_skl(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f124])).
% 0.13/0.38 fof(f135,plain,(
% 0.13/0.38 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f29])).
% 0.13/0.38 fof(f136,plain,(
% 0.13/0.38 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f135])).
% 0.13/0.38 fof(f138,plain,(
% 0.13/0.38 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f136])).
% 0.13/0.38 fof(f139,plain,(
% 0.13/0.38 ![X,Y,Z]: ((~rr(X,Y)|~rr(Y,Z))|rr(X,Z))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.13/0.38 fof(f140,plain,(
% 0.13/0.38 ![X,Z]: ((![Y]: (~rr(X,Y)|~rr(Y,Z)))|rr(X,Z))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f139])).
% 0.13/0.38 fof(f141,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~rr(X0,X1)|~rr(X1,X2)|rr(X0,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f140])).
% 0.13/0.38 fof(f142,plain,(
% 0.13/0.38 cUnsatisfiable(i2003_11_14_17_21_5199)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.38 fof(f151,plain,(
% 0.13/0.38 ![X0,X1]: (~rinvR(sK4_skl(X0),X1)|cp1xcomp(X1)|~ca_Vx3(X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f119,f126])).
% 0.13/0.38 fof(f154,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~rr(X0,X1)|~rr(X1,X2)|rinvR(X2,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f141,f138])).
% 0.13/0.38 fof(f155,plain,(
% 0.13/0.38 ![X0,X1]: (~rinvR(sK4_skl(sK0_skl(X0)),X1)|cp1xcomp(X1)|~cUnsatisfiable(X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f151,f100])).
% 0.13/0.38 fof(f157,plain,(
% 0.13/0.38 ![X0]: (~rinvR(sK4_skl(sK0_skl(i2003_11_14_17_21_5199)),X0)|cp1xcomp(X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f155,f142])).
% 0.13/0.38 fof(f161,plain,(
% 0.13/0.38 ![X0,X1]: (cp1xcomp(X0)|~rr(X0,X1)|~rr(X1,sK4_skl(sK0_skl(i2003_11_14_17_21_5199))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f157,f154])).
% 0.13/0.38 fof(f165,definition,(
% 0.13/0.38 sQ1_spl <=> (ca_Vx3(sK0_skl(i2003_11_14_17_21_5199)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f167,plain,(
% 0.13/0.38 ~ca_Vx3(sK0_skl(i2003_11_14_17_21_5199))|sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f165])).
% 0.13/0.38 fof(f195,definition,(
% 0.13/0.38 sQ5_spl <=> (cUnsatisfiable(i2003_11_14_17_21_5199))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f197,plain,(
% 0.13/0.38 ~cUnsatisfiable(i2003_11_14_17_21_5199)|sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f195])).
% 0.13/0.38 fof(f198,definition,(
% 0.13/0.38 sQ6_spl <=> (cp1(i2003_11_14_17_21_5199))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f200,plain,(
% 0.13/0.38 ~cp1(i2003_11_14_17_21_5199)|sQ6_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f198])).
% 0.13/0.38 fof(f245,plain,(
% 0.13/0.38 $false|sQ5_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f197,f142])).
% 0.13/0.38 fof(f246,plain,(
% 0.13/0.38 sQ5_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f245])).
% 0.13/0.38 fof(f263,plain,(
% 0.13/0.38 ~cUnsatisfiable(i2003_11_14_17_21_5199)|sQ6_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f200,f101])).
% 0.13/0.38 fof(f264,plain,(
% 0.13/0.38 ~sQ5_spl|sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f263,f195,f198])).
% 0.13/0.38 fof(f278,plain,(
% 0.13/0.38 ![X0]: (cp1xcomp(X0)|~rr(X0,sK0_skl(i2003_11_14_17_21_5199))|~ca_Vx3(sK0_skl(i2003_11_14_17_21_5199)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f161,f125])).
% 0.13/0.38 fof(f281,definition,(
% 0.13/0.38 ![X0]: (sQ16_spl <=> (cp1xcomp(X0)|~rr(X0,sK0_skl(i2003_11_14_17_21_5199))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f282,plain,(
% 0.13/0.38 ![X0]: (cp1xcomp(X0)|~rr(X0,sK0_skl(i2003_11_14_17_21_5199))|~sQ16_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f281])).
% 0.13/0.38 fof(f284,plain,(
% 0.13/0.38 sQ16_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f278,f281,f165])).
% 0.13/0.38 fof(f285,plain,(
% 0.13/0.38 ~cUnsatisfiable(i2003_11_14_17_21_5199)|sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f167,f100])).
% 0.13/0.38 fof(f286,plain,(
% 0.13/0.38 ~sQ5_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f285,f195,f165])).
% 0.13/0.38 fof(f309,plain,(
% 0.13/0.38 cp1xcomp(i2003_11_14_17_21_5199)|~cUnsatisfiable(i2003_11_14_17_21_5199)|~sQ16_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f282,f99])).
% 0.13/0.38 fof(f312,definition,(
% 0.13/0.38 sQ20_spl <=> (cp1xcomp(i2003_11_14_17_21_5199))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f313,plain,(
% 0.13/0.38 cp1xcomp(i2003_11_14_17_21_5199)|~sQ20_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f312])).
% 0.13/0.38 fof(f315,plain,(
% 0.13/0.38 sQ20_spl|~sQ5_spl|~sQ16_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f309,f312,f195,f281])).
% 0.13/0.38 fof(f316,plain,(
% 0.13/0.38 ra_Px1(i2003_11_14_17_21_5199,sK2_skl(i2003_11_14_17_21_5199))|~sQ20_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f313,f112])).
% 0.13/0.38 fof(f318,plain,(
% 0.13/0.38 ~cp1(i2003_11_14_17_21_5199)|~sQ20_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f316,f107])).
% 0.13/0.38 fof(f319,plain,(
% 0.13/0.38 ~sQ6_spl|~sQ20_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f318,f198,f312])).
% 0.13/0.38 fof(f320,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f246,f264,f284,f286,f315,f319])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.040446 seconds
% 0.13/0.40 % CPU time: 0.090151 seconds
% 0.13/0.40 % Total memory used: 3.212 MB
% 0.13/0.40 % Net memory used: 3.068 MB
%------------------------------------------------------------------------------