%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS100+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 : n002.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 0.09s 5.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS100+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
% 0.09/5.36 % Computer : n002.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 22:56:24 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.38 % Refutation found
% 0.09/5.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.38 fof(f3,axiom,(
% 0.09/5.38 (! [X] :( cUnsatisfiable(X)<=> ( (! [Y] :( rr(X,Y)=> ( ce(Y)| ~ cd(Y) ) ))& (! [Y] :( rr(X,Y)=> cd(Y) ))& (? [Y] :( rr(X,Y)& ~ ce(Y) ) )) ) )),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f5,axiom,(
% 0.09/5.38 cUnsatisfiable(i2003_11_14_17_20_32704) ),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f13,plain,(
% 0.09/5.38 ![X]: (cUnsatisfiable(X)<=>(((![Y]: (~rr(X,Y)|(ce(Y)|~cd(Y))))&(![Y]: (~rr(X,Y)|cd(Y))))&(?[Y]: (rr(X,Y)&~ce(Y)))))),
% 0.09/5.38 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/5.38 fof(f14,plain,(
% 0.09/5.38 ![X]: ((~cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|(ce(Y)|~cd(Y))))&(![Y]: (~rr(X,Y)|cd(Y))))&(?[Y]: (rr(X,Y)&~ce(Y)))))&(cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&(~ce(Y)&cd(Y))))|(?[Y]: (rr(X,Y)&~cd(Y))))|(![Y]: (~rr(X,Y)|ce(Y))))))),
% 0.09/5.38 inference(NNF_transformation,[status(thm)],[f13])).
% 0.09/5.38 fof(f15,plain,(
% 0.09/5.38 (![X]: (~cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|(ce(Y)|~cd(Y))))&(![Y]: (~rr(X,Y)|cd(Y))))&(?[Y]: (rr(X,Y)&~ce(Y))))))&(![X]: (cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&(~ce(Y)&cd(Y))))|(?[Y]: (rr(X,Y)&~cd(Y))))|(![Y]: (~rr(X,Y)|ce(Y))))))),
% 0.09/5.38 inference(miniscoping,[status(thm)],[f14])).
% 0.09/5.38 fof(f16,plain,(
% 0.09/5.38 (![X]: (~cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|(ce(Y)|~cd(Y))))&(![Y]: (~rr(X,Y)|cd(Y))))&(rr(X,sK0_skl(X))&~ce(sK0_skl(X))))))&(![X]: (cUnsatisfiable(X)|(((rr(X,sK1_skl(X))&(~ce(sK1_skl(X))&cd(sK1_skl(X))))|(rr(X,sK2_skl(X))&~cd(sK2_skl(X))))|(![Y]: (~rr(X,Y)|ce(Y))))))),
% 0.09/5.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f15])).
% 0.09/5.38 fof(f17,plain,(
% 0.09/5.38 ![X0,X1]: (~cUnsatisfiable(X0)|~rr(X0,X1)|ce(X1)|~cd(X1))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/5.38 fof(f18,plain,(
% 0.09/5.38 ![X0,X1]: (~cUnsatisfiable(X0)|~rr(X0,X1)|cd(X1))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/5.38 fof(f19,plain,(
% 0.09/5.38 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/5.38 fof(f20,plain,(
% 0.09/5.38 ![X0]: (~cUnsatisfiable(X0)|~ce(sK0_skl(X0)))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/5.38 fof(f29,plain,(
% 0.09/5.38 cUnsatisfiable(i2003_11_14_17_20_32704)),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/5.38 fof(f30,plain,(
% 0.09/5.38 ![X0,X1]: (~cUnsatisfiable(X0)|~rr(X0,X1)|ce(X1))),
% 0.09/5.38 inference(backward_subsumption_resolution,[status(thm)],[f17,f18])).
% 0.09/5.38 fof(f40,plain,(
% 0.09/5.38 ![X0]: (~rr(i2003_11_14_17_20_32704,X0)|ce(X0))),
% 0.09/5.38 inference(resolution,[status(thm)],[f30,f29])).
% 0.09/5.38 fof(f41,plain,(
% 0.09/5.38 ce(sK0_skl(i2003_11_14_17_20_32704))|~cUnsatisfiable(i2003_11_14_17_20_32704)),
% 0.09/5.38 inference(resolution,[status(thm)],[f40,f19])).
% 0.09/5.38 fof(f42,definition,(
% 0.09/5.38 sQ0_spl <=> (ce(sK0_skl(i2003_11_14_17_20_32704)))),
% 0.09/5.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/5.38 fof(f43,plain,(
% 0.09/5.38 ce(sK0_skl(i2003_11_14_17_20_32704))|~sQ0_spl),
% 0.09/5.38 inference(component_clause,[status(thm)],[f42])).
% 0.09/5.38 fof(f45,definition,(
% 0.09/5.38 sQ1_spl <=> (cUnsatisfiable(i2003_11_14_17_20_32704))),
% 0.09/5.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/5.38 fof(f47,plain,(
% 0.09/5.38 ~cUnsatisfiable(i2003_11_14_17_20_32704)|sQ1_spl),
% 0.09/5.38 inference(component_clause,[status(thm)],[f45])).
% 0.09/5.38 fof(f48,plain,(
% 0.09/5.38 sQ0_spl|~sQ1_spl),
% 0.09/5.38 inference(split_clause,[status(thm)],[f41,f42,f45])).
% 0.09/5.38 fof(f49,plain,(
% 0.09/5.38 ~cUnsatisfiable(i2003_11_14_17_20_32704)|~sQ0_spl),
% 0.09/5.38 inference(resolution,[status(thm)],[f43,f20])).
% 0.09/5.38 fof(f50,plain,(
% 0.09/5.38 $false|~sQ0_spl),
% 0.09/5.38 inference(forward_subsumption_resolution,[status(thm)],[f49,f29])).
% 0.09/5.38 fof(f51,plain,(
% 0.09/5.38 ~sQ0_spl),
% 0.09/5.38 inference(contradiction_clause,[status(thm)],[f50])).
% 0.09/5.38 fof(f52,plain,(
% 0.09/5.38 $false|sQ1_spl),
% 0.09/5.38 inference(forward_subsumption_resolution,[status(thm)],[f47,f29])).
% 0.09/5.38 fof(f53,plain,(
% 0.09/5.38 sQ1_spl),
% 0.09/5.38 inference(contradiction_clause,[status(thm)],[f52])).
% 0.09/5.38 fof(f54,plain,(
% 0.09/5.38 $false),
% 0.09/5.38 inference(sat_refutation,[status(thm)],[f48,f51,f53])).
% 0.09/5.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.40 % Elapsed time: 0.025607 seconds
% 0.14/5.40 % CPU time: 0.079828 seconds
% 0.14/5.40 % Total memory used: 1.378 MB
% 0.14/5.40 % Net memory used: 1.352 MB
%------------------------------------------------------------------------------