%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS113+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 : n010.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 01:00:16 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS113+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n010.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Sun Sep 20 22:53:57 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.09/0.55 % Refutation found
% 0.09/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.55 fof(f19,axiom,(
% 0.09/0.55 (! [X] :( cUnsatisfiable(X)<=> ( (! [Y0,Y1] :( ( rr(X,Y0)& rr(X,Y1) )=> Y0 = Y1 ))& (? [Y] :( rr(X,Y)& ca_Vx2(Y) ))& (? [Y] :( rs(X,Y)& cp(Y) ))& cpxcomp(X) ) ) )),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f20,axiom,(
% 0.09/0.55 (! [X] :( cp(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f21,axiom,(
% 0.09/0.55 (! [X] :( cpxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f22,axiom,(
% 0.09/0.55 (! [X] :( ca_Vx2(X)<=> (! [Y] :( rinvS(X,Y)=> cp(Y) ) )) )),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f23,axiom,(
% 0.09/0.55 (! [X,Y] :( rinvS(X,Y)<=> rs(Y,X) ) )),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f24,axiom,(
% 0.09/0.55 cUnsatisfiable(i2003_11_14_17_21_22376) ),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f25,axiom,(
% 0.09/0.55 (! [X,Y] :( rs(X,Y)=> rr(X,Y) ) )),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f81,plain,(
% 0.09/0.55 ![X]: (cUnsatisfiable(X)<=>((((![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))&(?[Y]: (rr(X,Y)&ca_Vx2(Y))))&(?[Y]: (rs(X,Y)&cp(Y))))&cpxcomp(X)))),
% 0.09/0.55 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.09/0.55 fof(f82,plain,(
% 0.09/0.55 ![X]: ((~cUnsatisfiable(X)|((((![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))&(?[Y]: (rr(X,Y)&ca_Vx2(Y))))&(?[Y]: (rs(X,Y)&cp(Y))))&cpxcomp(X)))&(cUnsatisfiable(X)|((((?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1))|(![Y]: (~rr(X,Y)|~ca_Vx2(Y))))|(![Y]: (~rs(X,Y)|~cp(Y))))|~cpxcomp(X))))),
% 0.09/0.55 inference(NNF_transformation,[status(thm)],[f81])).
% 0.09/0.55 fof(f83,plain,(
% 0.09/0.55 (![X]: (~cUnsatisfiable(X)|((((![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))&(?[Y]: (rr(X,Y)&ca_Vx2(Y))))&(?[Y]: (rs(X,Y)&cp(Y))))&cpxcomp(X))))&(![X]: (cUnsatisfiable(X)|((((?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1))|(![Y]: (~rr(X,Y)|~ca_Vx2(Y))))|(![Y]: (~rs(X,Y)|~cp(Y))))|~cpxcomp(X))))),
% 0.09/0.55 inference(miniscoping,[status(thm)],[f82])).
% 0.09/0.55 fof(f84,plain,(
% 0.09/0.55 (![X]: (~cUnsatisfiable(X)|((((![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))&(rr(X,sK0_skl(X))&ca_Vx2(sK0_skl(X))))&(rs(X,sK1_skl(X))&cp(sK1_skl(X))))&cpxcomp(X))))&(![X]: (cUnsatisfiable(X)|(((((rr(X,sK2_skl(X))&rr(X,sK3_skl(X)))&~sK2_skl(X)=sK3_skl(X))|(![Y]: (~rr(X,Y)|~ca_Vx2(Y))))|(![Y]: (~rs(X,Y)|~cp(Y))))|~cpxcomp(X))))),
% 0.09/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y0,sK2_skl(X)),skolemize(Y1,sK3_skl(X))],[f83])).
% 0.09/0.55 fof(f85,plain,(
% 0.09/0.55 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rr(X0,X1)|~rr(X0,X2)|X1=X2)),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.55 fof(f86,plain,(
% 0.09/0.55 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.55 fof(f87,plain,(
% 0.09/0.55 ![X0]: (~cUnsatisfiable(X0)|ca_Vx2(sK0_skl(X0)))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.55 fof(f88,plain,(
% 0.09/0.55 ![X0]: (~cUnsatisfiable(X0)|rs(X0,sK1_skl(X0)))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.55 fof(f90,plain,(
% 0.09/0.55 ![X0]: (~cUnsatisfiable(X0)|cpxcomp(X0))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.55 fof(f94,plain,(
% 0.09/0.55 ![X]: (cp(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.09/0.55 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.09/0.55 fof(f95,plain,(
% 0.09/0.55 ![X]: ((~cp(X)|(![Y]: ~ra_Px1(X,Y)))&(cp(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.09/0.55 inference(NNF_transformation,[status(thm)],[f94])).
% 0.09/0.55 fof(f96,plain,(
% 0.09/0.55 (![X]: (~cp(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.09/0.55 inference(miniscoping,[status(thm)],[f95])).
% 0.09/0.55 fof(f97,plain,(
% 0.09/0.55 (![X]: (~cp(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp(X)|ra_Px1(X,sK4_skl(X))))),
% 0.09/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f96])).
% 0.09/0.55 fof(f98,plain,(
% 0.09/0.55 ![X0,X1]: (~cp(X0)|~ra_Px1(X0,X1))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f97])).
% 0.09/0.55 fof(f100,plain,(
% 0.09/0.55 ![X]: ((~cpxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.09/0.55 inference(NNF_transformation,[status(thm)],[f21])).
% 0.09/0.55 fof(f101,plain,(
% 0.09/0.55 (![X]: (~cpxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.09/0.55 inference(miniscoping,[status(thm)],[f100])).
% 0.09/0.55 fof(f102,plain,(
% 0.09/0.55 (![X]: (~cpxcomp(X)|ra_Px1(X,sK5_skl(X))))&(![X]: (cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.09/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y0,sK5_skl(X))],[f101])).
% 0.09/0.55 fof(f103,plain,(
% 0.09/0.55 ![X0]: (~cpxcomp(X0)|ra_Px1(X0,sK5_skl(X0)))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f102])).
% 0.09/0.55 fof(f105,plain,(
% 0.09/0.55 ![X]: (ca_Vx2(X)<=>(![Y]: (~rinvS(X,Y)|cp(Y))))),
% 0.09/0.55 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.09/0.55 fof(f106,plain,(
% 0.09/0.55 ![X]: ((~ca_Vx2(X)|(![Y]: (~rinvS(X,Y)|cp(Y))))&(ca_Vx2(X)|(?[Y]: (rinvS(X,Y)&~cp(Y)))))),
% 0.09/0.55 inference(NNF_transformation,[status(thm)],[f105])).
% 0.09/0.55 fof(f107,plain,(
% 0.09/0.55 (![X]: (~ca_Vx2(X)|(![Y]: (~rinvS(X,Y)|cp(Y)))))&(![X]: (ca_Vx2(X)|(?[Y]: (rinvS(X,Y)&~cp(Y)))))),
% 0.09/0.55 inference(miniscoping,[status(thm)],[f106])).
% 0.09/0.55 fof(f108,plain,(
% 0.09/0.55 (![X]: (~ca_Vx2(X)|(![Y]: (~rinvS(X,Y)|cp(Y)))))&(![X]: (ca_Vx2(X)|(rinvS(X,sK6_skl(X))&~cp(sK6_skl(X)))))),
% 0.09/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(Y,sK6_skl(X))],[f107])).
% 0.09/0.55 fof(f109,plain,(
% 0.09/0.55 ![X0,X1]: (~ca_Vx2(X0)|~rinvS(X0,X1)|cp(X1))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f108])).
% 0.09/0.55 fof(f112,plain,(
% 0.09/0.55 ![X,Y]: ((~rinvS(X,Y)|rs(Y,X))&(rinvS(X,Y)|~rs(Y,X)))),
% 0.09/0.55 inference(NNF_transformation,[status(thm)],[f23])).
% 0.09/0.55 fof(f113,plain,(
% 0.09/0.55 (![X,Y]: (~rinvS(X,Y)|rs(Y,X)))&(![X,Y]: (rinvS(X,Y)|~rs(Y,X)))),
% 0.09/0.55 inference(miniscoping,[status(thm)],[f112])).
% 0.09/0.55 fof(f115,plain,(
% 0.09/0.55 ![X0,X1]: (rinvS(X0,X1)|~rs(X1,X0))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f113])).
% 0.09/0.55 fof(f116,plain,(
% 0.09/0.55 cUnsatisfiable(i2003_11_14_17_21_22376)),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.55 fof(f117,plain,(
% 0.09/0.55 ![X,Y]: (~rs(X,Y)|rr(X,Y))),
% 0.09/0.55 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.09/0.55 fof(f118,plain,(
% 0.09/0.55 ![X0,X1]: (~rs(X0,X1)|rr(X0,X1))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f117])).
% 0.09/0.55 fof(f120,plain,(
% 0.09/0.55 cpxcomp(i2003_11_14_17_21_22376)),
% 0.09/0.55 inference(resolution,[status(thm)],[f90,f116])).
% 0.09/0.55 fof(f121,plain,(
% 0.09/0.55 rr(i2003_11_14_17_21_22376,sK0_skl(i2003_11_14_17_21_22376))),
% 0.09/0.55 inference(resolution,[status(thm)],[f86,f116])).
% 0.09/0.55 fof(f122,plain,(
% 0.09/0.55 ca_Vx2(sK0_skl(i2003_11_14_17_21_22376))),
% 0.09/0.55 inference(resolution,[status(thm)],[f87,f116])).
% 0.09/0.55 fof(f123,plain,(
% 0.09/0.55 rs(i2003_11_14_17_21_22376,sK1_skl(i2003_11_14_17_21_22376))),
% 0.09/0.55 inference(resolution,[status(thm)],[f88,f116])).
% 0.09/0.55 fof(f127,plain,(
% 0.09/0.55 ra_Px1(i2003_11_14_17_21_22376,sK5_skl(i2003_11_14_17_21_22376))),
% 0.09/0.55 inference(resolution,[status(thm)],[f103,f120])).
% 0.09/0.55 fof(f131,plain,(
% 0.09/0.55 ![X0]: (~cUnsatisfiable(i2003_11_14_17_21_22376)|~rr(i2003_11_14_17_21_22376,X0)|X0=sK0_skl(i2003_11_14_17_21_22376))),
% 0.09/0.55 inference(resolution,[status(thm)],[f121,f85])).
% 0.09/0.55 fof(f132,definition,(
% 0.09/0.55 sQ0_spl <=> (cUnsatisfiable(i2003_11_14_17_21_22376))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f134,plain,(
% 0.09/0.55 ~cUnsatisfiable(i2003_11_14_17_21_22376)|sQ0_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f132])).
% 0.09/0.55 fof(f135,definition,(
% 0.09/0.55 ![X0]: (sQ1_spl <=> (~rr(i2003_11_14_17_21_22376,X0)|X0=sK0_skl(i2003_11_14_17_21_22376)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f136,plain,(
% 0.09/0.55 ![X0]: (~rr(i2003_11_14_17_21_22376,X0)|X0=sK0_skl(i2003_11_14_17_21_22376)|~sQ1_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f135])).
% 0.09/0.55 fof(f138,plain,(
% 0.09/0.55 ~sQ0_spl|sQ1_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f131,f132,f135])).
% 0.09/0.55 fof(f139,plain,(
% 0.09/0.55 $false|sQ0_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f134,f116])).
% 0.09/0.55 fof(f140,plain,(
% 0.09/0.55 sQ0_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f139])).
% 0.09/0.55 fof(f141,plain,(
% 0.09/0.55 rr(i2003_11_14_17_21_22376,sK1_skl(i2003_11_14_17_21_22376))),
% 0.09/0.55 inference(resolution,[status(thm)],[f123,f118])).
% 0.09/0.55 fof(f142,plain,(
% 0.09/0.55 rinvS(sK1_skl(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376)),
% 0.09/0.55 inference(resolution,[status(thm)],[f123,f115])).
% 0.09/0.55 fof(f163,plain,(
% 0.09/0.55 ~cp(i2003_11_14_17_21_22376)),
% 0.09/0.55 inference(resolution,[status(thm)],[f127,f98])).
% 0.09/0.55 fof(f171,plain,(
% 0.09/0.55 sK1_skl(i2003_11_14_17_21_22376)=sK0_skl(i2003_11_14_17_21_22376)|~sQ1_spl),
% 0.09/0.55 inference(resolution,[status(thm)],[f141,f136])).
% 0.09/0.55 fof(f176,plain,(
% 0.09/0.55 rinvS(sK0_skl(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376)|~sQ1_spl),
% 0.09/0.55 inference(backward_demodulation,[status(thm)],[f171,f142])).
% 0.09/0.55 fof(f195,plain,(
% 0.09/0.55 ~ca_Vx2(sK0_skl(i2003_11_14_17_21_22376))|cp(i2003_11_14_17_21_22376)|~sQ1_spl),
% 0.09/0.55 inference(resolution,[status(thm)],[f176,f109])).
% 0.09/0.55 fof(f196,definition,(
% 0.09/0.55 sQ9_spl <=> (ca_Vx2(sK0_skl(i2003_11_14_17_21_22376)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f198,plain,(
% 0.09/0.55 ~ca_Vx2(sK0_skl(i2003_11_14_17_21_22376))|sQ9_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f196])).
% 0.09/0.55 fof(f199,definition,(
% 0.09/0.55 sQ10_spl <=> (cp(i2003_11_14_17_21_22376))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f200,plain,(
% 0.09/0.55 cp(i2003_11_14_17_21_22376)|~sQ10_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f199])).
% 0.09/0.55 fof(f202,plain,(
% 0.09/0.55 ~sQ9_spl|sQ10_spl|~sQ1_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f195,f196,f199,f135])).
% 0.09/0.55 fof(f203,plain,(
% 0.09/0.55 $false|sQ9_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f198,f122])).
% 0.09/0.55 fof(f204,plain,(
% 0.09/0.55 sQ9_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f203])).
% 0.09/0.55 fof(f205,plain,(
% 0.09/0.55 $false|~sQ10_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f200,f163])).
% 0.09/0.55 fof(f206,plain,(
% 0.09/0.55 ~sQ10_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f205])).
% 0.09/0.55 fof(f207,plain,(
% 0.09/0.55 $false),
% 0.09/0.55 inference(sat_refutation,[status(thm)],[f138,f140,f202,f204,f206])).
% 0.09/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.56 % Elapsed time: 0.033125 seconds
% 0.14/0.56 % CPU time: 0.074587 seconds
% 0.14/0.56 % Total memory used: 2.790 MB
% 0.14/0.56 % Net memory used: 2.717 MB
%------------------------------------------------------------------------------