%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS119+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 01:00:17 PM UTC 2026
% Result : Unsatisfiable 0.08s 5.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS119+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.54 % Computer : n014.cluster.edu
% 0.08/5.54 % Model : x86_64 x86_64
% 0.08/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.54 % Memory : 8046.5625MB
% 0.08/5.54 % OS : Linux 6.8.0-71-generic
% 0.08/5.54 % CPULimit : 300
% 0.08/5.54 % WCLimit : 300
% 0.08/5.54 % DateTime : Sun Sep 20 22:54:11 UTC 2026
% 0.08/5.54 % CPUTime :
% 0.08/5.54 % Drodi V4.1.1
% 0.08/5.56 % Refutation found
% 0.08/5.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/5.56 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.56 fof(f22,axiom,(
% 0.08/5.56 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& ca_Vx3(Y) ))& cp1(X) ) ) )),
% 0.08/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.56 fof(f23,axiom,(
% 0.08/5.56 (! [X] :( cp1(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.08/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.56 fof(f24,axiom,(
% 0.08/5.56 (! [X] :( cp1xcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.08/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.56 fof(f25,axiom,(
% 0.08/5.56 (! [X] :( ca_Ax2(X)<=> ( cp1(X)& (! [Y] :( rinvR(X,Y)=> cp1xcomp(Y) ) )) ) )),
% 0.08/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.56 fof(f26,axiom,(
% 0.08/5.56 (! [X] :( ca_Vx3(X)<=> (? [Y] :( rr(X,Y)& ca_Ax2(Y) ) )) )),
% 0.08/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.56 fof(f29,axiom,(
% 0.08/5.56 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.08/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.56 fof(f30,axiom,(
% 0.08/5.56 (! [X,Y,Z] :( ( rr(X,Y)& rr(Y,Z) )=> rr(X,Z) ) )),
% 0.08/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.56 fof(f31,axiom,(
% 0.08/5.56 cUnsatisfiable(i2003_11_14_17_21_44786) ),
% 0.08/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.56 fof(f96,plain,(
% 0.08/5.56 ![X]: ((~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&ca_Vx3(Y)))&cp1(X)))&(cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~ca_Vx3(Y)))|~cp1(X))))),
% 0.08/5.56 inference(NNF_transformation,[status(thm)],[f22])).
% 0.08/5.56 fof(f97,plain,(
% 0.08/5.56 (![X]: (~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&ca_Vx3(Y)))&cp1(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~ca_Vx3(Y)))|~cp1(X))))),
% 0.08/5.56 inference(miniscoping,[status(thm)],[f96])).
% 0.08/5.56 fof(f98,plain,(
% 0.08/5.56 (![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))))),
% 0.08/5.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f97])).
% 0.08/5.56 fof(f99,plain,(
% 0.08/5.56 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f98])).
% 0.08/5.56 fof(f100,plain,(
% 0.08/5.56 ![X0]: (~cUnsatisfiable(X0)|ca_Vx3(sK0_skl(X0)))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f98])).
% 0.08/5.56 fof(f101,plain,(
% 0.08/5.56 ![X0]: (~cUnsatisfiable(X0)|cp1(X0))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f98])).
% 0.08/5.56 fof(f103,plain,(
% 0.08/5.56 ![X]: (cp1(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.08/5.56 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.08/5.56 fof(f104,plain,(
% 0.08/5.56 ![X]: ((~cp1(X)|(![Y]: ~ra_Px1(X,Y)))&(cp1(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.08/5.56 inference(NNF_transformation,[status(thm)],[f103])).
% 0.08/5.56 fof(f105,plain,(
% 0.08/5.56 (![X]: (~cp1(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp1(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.08/5.56 inference(miniscoping,[status(thm)],[f104])).
% 0.08/5.56 fof(f106,plain,(
% 0.08/5.56 (![X]: (~cp1(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp1(X)|ra_Px1(X,sK1_skl(X))))),
% 0.08/5.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f105])).
% 0.08/5.56 fof(f107,plain,(
% 0.08/5.56 ![X0,X1]: (~cp1(X0)|~ra_Px1(X0,X1))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f106])).
% 0.08/5.56 fof(f109,plain,(
% 0.08/5.56 ![X]: ((~cp1xcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.08/5.56 inference(NNF_transformation,[status(thm)],[f24])).
% 0.08/5.56 fof(f110,plain,(
% 0.08/5.56 (![X]: (~cp1xcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.08/5.56 inference(miniscoping,[status(thm)],[f109])).
% 0.08/5.56 fof(f111,plain,(
% 0.08/5.56 (![X]: (~cp1xcomp(X)|ra_Px1(X,sK2_skl(X))))&(![X]: (cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.08/5.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y0,sK2_skl(X))],[f110])).
% 0.08/5.56 fof(f112,plain,(
% 0.08/5.56 ![X0]: (~cp1xcomp(X0)|ra_Px1(X0,sK2_skl(X0)))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f111])).
% 0.08/5.56 fof(f114,plain,(
% 0.08/5.56 ![X]: (ca_Ax2(X)<=>(cp1(X)&(![Y]: (~rinvR(X,Y)|cp1xcomp(Y)))))),
% 0.08/5.56 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.08/5.56 fof(f115,plain,(
% 0.08/5.56 ![X]: ((~ca_Ax2(X)|(cp1(X)&(![Y]: (~rinvR(X,Y)|cp1xcomp(Y)))))&(ca_Ax2(X)|(~cp1(X)|(?[Y]: (rinvR(X,Y)&~cp1xcomp(Y))))))),
% 0.08/5.56 inference(NNF_transformation,[status(thm)],[f114])).
% 0.08/5.56 fof(f116,plain,(
% 0.08/5.56 (![X]: (~ca_Ax2(X)|(cp1(X)&(![Y]: (~rinvR(X,Y)|cp1xcomp(Y))))))&(![X]: (ca_Ax2(X)|(~cp1(X)|(?[Y]: (rinvR(X,Y)&~cp1xcomp(Y))))))),
% 0.08/5.56 inference(miniscoping,[status(thm)],[f115])).
% 0.08/5.56 fof(f117,plain,(
% 0.08/5.56 (![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))))))),
% 0.08/5.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f116])).
% 0.08/5.56 fof(f119,plain,(
% 0.08/5.56 ![X0,X1]: (~ca_Ax2(X0)|~rinvR(X0,X1)|cp1xcomp(X1))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f117])).
% 0.08/5.56 fof(f122,plain,(
% 0.08/5.56 ![X]: ((~ca_Vx3(X)|(?[Y]: (rr(X,Y)&ca_Ax2(Y))))&(ca_Vx3(X)|(![Y]: (~rr(X,Y)|~ca_Ax2(Y)))))),
% 0.08/5.56 inference(NNF_transformation,[status(thm)],[f26])).
% 0.08/5.56 fof(f123,plain,(
% 0.08/5.56 (![X]: (~ca_Vx3(X)|(?[Y]: (rr(X,Y)&ca_Ax2(Y)))))&(![X]: (ca_Vx3(X)|(![Y]: (~rr(X,Y)|~ca_Ax2(Y)))))),
% 0.08/5.56 inference(miniscoping,[status(thm)],[f122])).
% 0.08/5.56 fof(f124,plain,(
% 0.08/5.56 (![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)))))),
% 0.08/5.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f123])).
% 0.08/5.56 fof(f125,plain,(
% 0.08/5.56 ![X0]: (~ca_Vx3(X0)|rr(X0,sK4_skl(X0)))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f124])).
% 0.08/5.56 fof(f126,plain,(
% 0.08/5.56 ![X0]: (~ca_Vx3(X0)|ca_Ax2(sK4_skl(X0)))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f124])).
% 0.08/5.56 fof(f134,plain,(
% 0.08/5.56 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.08/5.56 inference(NNF_transformation,[status(thm)],[f29])).
% 0.08/5.56 fof(f135,plain,(
% 0.08/5.56 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.08/5.56 inference(miniscoping,[status(thm)],[f134])).
% 0.08/5.56 fof(f137,plain,(
% 0.08/5.56 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f135])).
% 0.08/5.56 fof(f138,plain,(
% 0.08/5.56 ![X,Y,Z]: ((~rr(X,Y)|~rr(Y,Z))|rr(X,Z))),
% 0.08/5.56 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.08/5.56 fof(f139,plain,(
% 0.08/5.56 ![X,Z]: ((![Y]: (~rr(X,Y)|~rr(Y,Z)))|rr(X,Z))),
% 0.08/5.56 inference(miniscoping,[status(thm)],[f138])).
% 0.08/5.56 fof(f140,plain,(
% 0.08/5.56 ![X0,X1,X2]: (~rr(X0,X1)|~rr(X1,X2)|rr(X0,X2))),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f139])).
% 0.08/5.56 fof(f141,plain,(
% 0.08/5.56 cUnsatisfiable(i2003_11_14_17_21_44786)),
% 0.08/5.56 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/5.56 fof(f144,plain,(
% 0.08/5.56 rr(i2003_11_14_17_21_44786,sK0_skl(i2003_11_14_17_21_44786))),
% 0.08/5.56 inference(resolution,[status(thm)],[f99,f141])).
% 0.08/5.56 fof(f145,plain,(
% 0.08/5.56 ca_Vx3(sK0_skl(i2003_11_14_17_21_44786))),
% 0.08/5.56 inference(resolution,[status(thm)],[f100,f141])).
% 0.08/5.56 fof(f146,plain,(
% 0.08/5.56 cp1(i2003_11_14_17_21_44786)),
% 0.08/5.56 inference(resolution,[status(thm)],[f101,f141])).
% 0.08/5.56 fof(f161,plain,(
% 0.08/5.56 ca_Ax2(sK4_skl(sK0_skl(i2003_11_14_17_21_44786)))),
% 0.08/5.56 inference(resolution,[status(thm)],[f126,f145])).
% 0.08/5.56 fof(f168,plain,(
% 0.08/5.56 rr(sK0_skl(i2003_11_14_17_21_44786),sK4_skl(sK0_skl(i2003_11_14_17_21_44786)))),
% 0.08/5.56 inference(resolution,[status(thm)],[f125,f145])).
% 0.08/5.56 fof(f169,plain,(
% 0.08/5.56 ![X0]: (~rr(sK0_skl(i2003_11_14_17_21_44786),X0)|rr(i2003_11_14_17_21_44786,X0))),
% 0.08/5.56 inference(resolution,[status(thm)],[f144,f140])).
% 0.08/5.56 fof(f186,definition,(
% 0.08/5.56 sQ7_spl <=> (cp1(i2003_11_14_17_21_44786))),
% 0.08/5.56 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/5.56 fof(f188,plain,(
% 0.08/5.56 ~cp1(i2003_11_14_17_21_44786)|sQ7_spl),
% 0.08/5.56 inference(component_clause,[status(thm)],[f186])).
% 0.08/5.56 fof(f190,plain,(
% 0.08/5.56 $false|sQ7_spl),
% 0.08/5.56 inference(forward_subsumption_resolution,[status(thm)],[f188,f146])).
% 0.08/5.56 fof(f191,plain,(
% 0.08/5.56 sQ7_spl),
% 0.08/5.56 inference(contradiction_clause,[status(thm)],[f190])).
% 0.08/5.56 fof(f213,definition,(
% 0.08/5.56 sQ11_spl <=> (ca_Ax2(sK4_skl(sK0_skl(i2003_11_14_17_21_44786))))),
% 0.08/5.56 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.08/5.56 fof(f215,plain,(
% 0.08/5.56 ~ca_Ax2(sK4_skl(sK0_skl(i2003_11_14_17_21_44786)))|sQ11_spl),
% 0.08/5.56 inference(component_clause,[status(thm)],[f213])).
% 0.08/5.56 fof(f227,plain,(
% 0.08/5.56 $false|sQ11_spl),
% 0.08/5.56 inference(forward_subsumption_resolution,[status(thm)],[f215,f161])).
% 0.08/5.56 fof(f228,plain,(
% 0.08/5.56 sQ11_spl),
% 0.08/5.56 inference(contradiction_clause,[status(thm)],[f227])).
% 0.08/5.56 fof(f229,plain,(
% 0.08/5.56 rr(i2003_11_14_17_21_44786,sK4_skl(sK0_skl(i2003_11_14_17_21_44786)))),
% 0.08/5.56 inference(resolution,[status(thm)],[f169,f168])).
% 0.08/5.56 fof(f232,definition,(
% 0.08/5.56 sQ15_spl <=> (cp1xcomp(i2003_11_14_17_21_44786))),
% 0.08/5.56 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.08/5.57 fof(f233,plain,(
% 0.08/5.57 cp1xcomp(i2003_11_14_17_21_44786)|~sQ15_spl),
% 0.08/5.57 inference(component_clause,[status(thm)],[f232])).
% 0.08/5.57 fof(f252,plain,(
% 0.08/5.57 ra_Px1(i2003_11_14_17_21_44786,sK2_skl(i2003_11_14_17_21_44786))|~sQ15_spl),
% 0.08/5.57 inference(resolution,[status(thm)],[f233,f112])).
% 0.08/5.57 fof(f254,plain,(
% 0.08/5.57 rinvR(sK4_skl(sK0_skl(i2003_11_14_17_21_44786)),i2003_11_14_17_21_44786)),
% 0.08/5.57 inference(resolution,[status(thm)],[f229,f137])).
% 0.08/5.57 fof(f277,plain,(
% 0.08/5.57 ~ca_Ax2(sK4_skl(sK0_skl(i2003_11_14_17_21_44786)))|cp1xcomp(i2003_11_14_17_21_44786)),
% 0.08/5.57 inference(resolution,[status(thm)],[f254,f119])).
% 0.08/5.57 fof(f278,plain,(
% 0.08/5.57 ~sQ11_spl|sQ15_spl),
% 0.08/5.57 inference(split_clause,[status(thm)],[f277,f213,f232])).
% 0.08/5.57 fof(f284,plain,(
% 0.08/5.57 ~cp1(i2003_11_14_17_21_44786)|~sQ15_spl),
% 0.08/5.57 inference(resolution,[status(thm)],[f252,f107])).
% 0.08/5.57 fof(f285,plain,(
% 0.08/5.57 ~sQ7_spl|~sQ15_spl),
% 0.08/5.57 inference(split_clause,[status(thm)],[f284,f186,f232])).
% 0.08/5.57 fof(f286,plain,(
% 0.08/5.57 $false),
% 0.08/5.57 inference(sat_refutation,[status(thm)],[f191,f228,f278,f285])).
% 0.08/5.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/5.58 % Elapsed time: 0.035579 seconds
% 0.08/5.58 % CPU time: 0.091409 seconds
% 0.08/5.58 % Total memory used: 3.241 MB
% 0.08/5.58 % Net memory used: 3.095 MB
%------------------------------------------------------------------------------