%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS097+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 : n006.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 01:00:15 PM UTC 2026
% Result : Unsatisfiable 0.11s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS097+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
% 0.11/5.38 % Computer : n006.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 22:53:38 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 0.11/5.40 % Refutation found
% 0.11/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/5.40 fof(f28,axiom,(
% 0.11/5.40 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y0] : rr(X,Y0))& (? [Y] :( rr(X,Y)& cd(Y) ))& ~ (? [Y0,Y1] :( rr(X,Y0)& rr(X,Y1)& Y0 != Y1 ))& (? [Y] :( rr(X,Y)& cc(Y) ) )) ) )),
% 0.11/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f30,axiom,(
% 0.11/5.40 cUnsatisfiable(i2003_11_14_17_20_21603) ),
% 0.11/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f32,axiom,(
% 0.11/5.40 (! [X] :~ ( cd(X)& cc(X) ) )),
% 0.11/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f122,plain,(
% 0.11/5.40 ![X]: (cUnsatisfiable(X)<=>((((?[Y0]: rr(X,Y0))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(?[Y]: (rr(X,Y)&cc(Y)))))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.11/5.40 fof(f123,plain,(
% 0.11/5.40 ![X]: ((~cUnsatisfiable(X)|((((?[Y0]: rr(X,Y0))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(?[Y]: (rr(X,Y)&cc(Y)))))&(cUnsatisfiable(X)|((((![Y0]: ~rr(X,Y0))|(![Y]: (~rr(X,Y)|~cd(Y))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))|(![Y]: (~rr(X,Y)|~cc(Y))))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f122])).
% 0.11/5.40 fof(f124,plain,(
% 0.11/5.40 (![X]: (~cUnsatisfiable(X)|((((?[Y0]: rr(X,Y0))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(?[Y]: (rr(X,Y)&cc(Y))))))&(![X]: (cUnsatisfiable(X)|((((![Y0]: ~rr(X,Y0))|(![Y]: (~rr(X,Y)|~cd(Y))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))|(![Y]: (~rr(X,Y)|~cc(Y))))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f123])).
% 0.11/5.40 fof(f125,plain,(
% 0.11/5.40 (![X]: (~cUnsatisfiable(X)|(((rr(X,sK0_skl(X))&(rr(X,sK1_skl(X))&cd(sK1_skl(X))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(rr(X,sK2_skl(X))&cc(sK2_skl(X))))))&(![X]: (cUnsatisfiable(X)|((((![Y0]: ~rr(X,Y0))|(![Y]: (~rr(X,Y)|~cd(Y))))|((rr(X,sK3_skl(X))&rr(X,sK4_skl(X)))&~sK3_skl(X)=sK4_skl(X)))|(![Y]: (~rr(X,Y)|~cc(Y))))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(Y0,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X)),skolemize(Y0,sK3_skl(X)),skolemize(Y1,sK4_skl(X))],[f124])).
% 0.11/5.40 fof(f126,plain,(
% 0.11/5.40 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.11/5.40 fof(f127,plain,(
% 0.11/5.40 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK1_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.11/5.40 fof(f128,plain,(
% 0.11/5.40 ![X0]: (~cUnsatisfiable(X0)|cd(sK1_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.11/5.40 fof(f129,plain,(
% 0.11/5.40 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rr(X0,X1)|~rr(X0,X2)|X1=X2)),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.11/5.40 fof(f130,plain,(
% 0.11/5.40 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK2_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.11/5.40 fof(f131,plain,(
% 0.11/5.40 ![X0]: (~cUnsatisfiable(X0)|cc(sK2_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.11/5.40 fof(f140,plain,(
% 0.11/5.40 cUnsatisfiable(i2003_11_14_17_20_21603)),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.11/5.40 fof(f143,plain,(
% 0.11/5.40 ![X]: (~cd(X)|~cc(X))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.16/5.40 fof(f144,plain,(
% 0.16/5.40 ![X0]: (~cd(X0)|~cc(X0))),
% 0.16/5.40 inference(cnf_transformation,[status(thm)],[f143])).
% 0.16/5.40 fof(f160,plain,(
% 0.16/5.40 cd(sK1_skl(i2003_11_14_17_20_21603))),
% 0.16/5.40 inference(resolution,[status(thm)],[f128,f140])).
% 0.16/5.40 fof(f161,plain,(
% 0.16/5.40 ~cc(sK1_skl(i2003_11_14_17_20_21603))),
% 0.16/5.40 inference(resolution,[status(thm)],[f160,f144])).
% 0.16/5.40 fof(f164,plain,(
% 0.16/5.40 cc(sK2_skl(i2003_11_14_17_20_21603))),
% 0.16/5.40 inference(resolution,[status(thm)],[f131,f140])).
% 0.16/5.40 fof(f167,plain,(
% 0.16/5.40 ![X0,X1]: (~rr(i2003_11_14_17_20_21603,X0)|~rr(i2003_11_14_17_20_21603,X1)|X0=X1)),
% 0.16/5.40 inference(resolution,[status(thm)],[f129,f140])).
% 0.16/5.40 fof(f192,plain,(
% 0.16/5.40 ![X0]: (~rr(i2003_11_14_17_20_21603,X0)|X0=sK0_skl(i2003_11_14_17_20_21603)|~cUnsatisfiable(i2003_11_14_17_20_21603))),
% 0.16/5.40 inference(resolution,[status(thm)],[f167,f126])).
% 0.16/5.40 fof(f199,definition,(
% 0.16/5.40 sQ5_spl <=> (cUnsatisfiable(i2003_11_14_17_20_21603))),
% 0.16/5.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/5.40 fof(f201,plain,(
% 0.16/5.40 ~cUnsatisfiable(i2003_11_14_17_20_21603)|sQ5_spl),
% 0.16/5.40 inference(component_clause,[status(thm)],[f199])).
% 0.16/5.40 fof(f220,definition,(
% 0.16/5.40 ![X0]: (sQ11_spl <=> (~rr(i2003_11_14_17_20_21603,X0)|X0=sK0_skl(i2003_11_14_17_20_21603)))),
% 0.16/5.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.16/5.40 fof(f221,plain,(
% 0.16/5.40 ![X0]: (~rr(i2003_11_14_17_20_21603,X0)|X0=sK0_skl(i2003_11_14_17_20_21603)|~sQ11_spl)),
% 0.16/5.40 inference(component_clause,[status(thm)],[f220])).
% 0.16/5.40 fof(f223,plain,(
% 0.16/5.40 sQ11_spl|~sQ5_spl),
% 0.16/5.40 inference(split_clause,[status(thm)],[f192,f220,f199])).
% 0.16/5.40 fof(f224,plain,(
% 0.16/5.40 $false|sQ5_spl),
% 0.16/5.40 inference(forward_subsumption_resolution,[status(thm)],[f201,f140])).
% 0.16/5.40 fof(f225,plain,(
% 0.16/5.40 sQ5_spl),
% 0.16/5.40 inference(contradiction_clause,[status(thm)],[f224])).
% 0.16/5.40 fof(f233,plain,(
% 0.16/5.40 sK2_skl(i2003_11_14_17_20_21603)=sK0_skl(i2003_11_14_17_20_21603)|~cUnsatisfiable(i2003_11_14_17_20_21603)|~sQ11_spl),
% 0.16/5.40 inference(resolution,[status(thm)],[f221,f130])).
% 0.16/5.40 fof(f234,plain,(
% 0.16/5.40 sK1_skl(i2003_11_14_17_20_21603)=sK0_skl(i2003_11_14_17_20_21603)|~cUnsatisfiable(i2003_11_14_17_20_21603)|~sQ11_spl),
% 0.16/5.40 inference(resolution,[status(thm)],[f221,f127])).
% 0.16/5.40 fof(f247,definition,(
% 0.16/5.40 sQ15_spl <=> (sK2_skl(i2003_11_14_17_20_21603)=sK0_skl(i2003_11_14_17_20_21603))),
% 0.16/5.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.16/5.40 fof(f248,plain,(
% 0.16/5.40 sK2_skl(i2003_11_14_17_20_21603)=sK0_skl(i2003_11_14_17_20_21603)|~sQ15_spl),
% 0.16/5.40 inference(component_clause,[status(thm)],[f247])).
% 0.16/5.40 fof(f250,plain,(
% 0.16/5.40 sQ15_spl|~sQ5_spl|~sQ11_spl),
% 0.16/5.40 inference(split_clause,[status(thm)],[f233,f247,f199,f220])).
% 0.16/5.40 fof(f251,definition,(
% 0.16/5.40 sQ16_spl <=> (sK1_skl(i2003_11_14_17_20_21603)=sK0_skl(i2003_11_14_17_20_21603))),
% 0.16/5.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.16/5.40 fof(f252,plain,(
% 0.16/5.40 sK1_skl(i2003_11_14_17_20_21603)=sK0_skl(i2003_11_14_17_20_21603)|~sQ16_spl),
% 0.16/5.40 inference(component_clause,[status(thm)],[f251])).
% 0.16/5.40 fof(f254,plain,(
% 0.16/5.40 sQ16_spl|~sQ5_spl|~sQ11_spl),
% 0.16/5.40 inference(split_clause,[status(thm)],[f234,f251,f199,f220])).
% 0.16/5.40 fof(f262,plain,(
% 0.16/5.40 cc(sK0_skl(i2003_11_14_17_20_21603))|~sQ15_spl),
% 0.16/5.40 inference(backward_demodulation,[status(thm)],[f248,f164])).
% 0.16/5.40 fof(f283,plain,(
% 0.16/5.40 ~cc(sK0_skl(i2003_11_14_17_20_21603))|~sQ16_spl),
% 0.16/5.40 inference(backward_demodulation,[status(thm)],[f252,f161])).
% 0.16/5.40 fof(f286,plain,(
% 0.16/5.40 $false|~sQ15_spl|~sQ16_spl),
% 0.16/5.40 inference(forward_subsumption_resolution,[status(thm)],[f283,f262])).
% 0.16/5.40 fof(f287,plain,(
% 0.16/5.40 ~sQ15_spl|~sQ16_spl),
% 0.16/5.40 inference(contradiction_clause,[status(thm)],[f286])).
% 0.16/5.40 fof(f288,plain,(
% 0.16/5.40 $false),
% 0.16/5.40 inference(sat_refutation,[status(thm)],[f223,f225,f250,f254,f287])).
% 0.16/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.41 % Elapsed time: 0.026066 seconds
% 0.16/5.41 % CPU time: 0.084887 seconds
% 0.16/5.41 % Total memory used: 3.357 MB
% 0.16/5.41 % Net memory used: 3.236 MB
%------------------------------------------------------------------------------