%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS202+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:00:25 PM UTC 2026
% Result : Theorem 1.42s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS202+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n004.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 22:56:34 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 1.42/0.58 % Refutation found
% 1.42/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.42/0.58 % SZS output start CNFRefutation for theBenchmark
% 1.42/0.58 fof(f3,axiom,(
% 1.42/0.58 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))<=> (? [I2] : model(I2,C) ))<=> status(Ax,C,esa) ) )),
% 1.42/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.58 fof(f5,axiom,(
% 1.42/0.58 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 1.42/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.58 fof(f22,axiom,(
% 1.42/0.58 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& ~ status(Ax,C,S2) ))<=> nota(S1,S2) ) )),
% 1.42/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.58 fof(f27,axiom,(
% 1.42/0.58 (? [F] :(! [I] : model(I,F) ))),
% 1.42/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.58 fof(f28,axiom,(
% 1.42/0.58 (? [F] :( (? [I1] : model(I1,F))& (? [I2] : ~ model(I2,F) )) )),
% 1.42/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.58 fof(f33,conjecture,(
% 1.42/0.58 nota(esa,thm) ),
% 1.42/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.58 fof(f34,negated_conjecture,(
% 1.42/0.58 ~(nota(esa,thm) )),
% 1.42/0.58 inference(negated_conjecture,[status(cth)],[f33])).
% 1.42/0.58 fof(f49,plain,(
% 1.42/0.58 ![Ax,C]: (((((![I1]: ~model(I1,Ax))|(![I2]: ~model(I2,C)))&((?[I1]: model(I1,Ax))|(?[I2]: model(I2,C))))|status(Ax,C,esa))&((((![I1]: ~model(I1,Ax))|(?[I2]: model(I2,C)))&((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C))))|~status(Ax,C,esa)))),
% 1.42/0.58 inference(NNF_transformation,[status(thm)],[f3])).
% 1.42/0.58 fof(f50,plain,(
% 1.42/0.58 (![Ax,C]: ((((![I1]: ~model(I1,Ax))|(![I2]: ~model(I2,C)))&((?[I1]: model(I1,Ax))|(?[I2]: model(I2,C))))|status(Ax,C,esa)))&(![Ax,C]: ((((![I1]: ~model(I1,Ax))|(?[I2]: model(I2,C)))&((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C))))|~status(Ax,C,esa)))),
% 1.42/0.58 inference(miniscoping,[status(thm)],[f49])).
% 1.42/0.58 fof(f51,plain,(
% 1.42/0.58 (![Ax,C]: ((((![I1]: ~model(I1,Ax))|(![I2]: ~model(I2,C)))&(model(sK4_skl(C,Ax),Ax)|model(sK5_skl(C,Ax),C)))|status(Ax,C,esa)))&(![Ax,C]: ((((![I1]: ~model(I1,Ax))|model(sK6_skl(C,Ax),C))&(model(sK7_skl(C,Ax),Ax)|(![I2]: ~model(I2,C))))|~status(Ax,C,esa)))),
% 1.42/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(I1,sK4_skl(C,Ax)),skolemize(I2,sK5_skl(C,Ax)),skolemize(I2,sK6_skl(C,Ax)),skolemize(I1,sK7_skl(C,Ax))],[f50])).
% 1.42/0.58 fof(f52,plain,(
% 1.42/0.58 ![X0,X1,X2,X3]: (~model(X0,X1)|~model(X2,X3)|status(X1,X3,esa))),
% 1.42/0.58 inference(cnf_transformation,[status(thm)],[f51])).
% 1.42/0.58 fof(f62,plain,(
% 1.42/0.58 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 1.42/0.58 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 1.42/0.58 fof(f63,plain,(
% 1.42/0.58 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 1.42/0.58 inference(NNF_transformation,[status(thm)],[f62])).
% 1.42/0.58 fof(f64,plain,(
% 1.42/0.58 (![Ax,C]: ((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm)))&(![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 1.42/0.58 inference(miniscoping,[status(thm)],[f63])).
% 1.42/0.58 fof(f65,plain,(
% 1.42/0.58 (![Ax,C]: ((model(sK9_skl(C,Ax),Ax)&~model(sK9_skl(C,Ax),C))|status(Ax,C,thm)))&(![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 1.42/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 1.42/0.58 fof(f68,plain,(
% 1.42/0.58 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 1.42/0.58 inference(cnf_transformation,[status(thm)],[f65])).
% 1.42/0.58 fof(f187,plain,(
% 1.42/0.58 ![S1,S2]: (((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2))&((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|~nota(S1,S2)))),
% 1.42/0.58 inference(NNF_transformation,[status(thm)],[f22])).
% 1.42/0.58 fof(f188,plain,(
% 1.42/0.58 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2)))&(![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|~nota(S1,S2)))),
% 1.42/0.58 inference(miniscoping,[status(thm)],[f187])).
% 1.42/0.58 fof(f189,plain,(
% 1.42/0.58 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2)))&(![S1,S2]: ((status(sK46_skl(S2,S1),sK47_skl(S2,S1),S1)&~status(sK46_skl(S2,S1),sK47_skl(S2,S1),S2))|~nota(S1,S2)))),
% 1.42/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK46_skl,sK47_skl]),skolemize(Ax,sK46_skl(S2,S1)),skolemize(C,sK47_skl(S2,S1))],[f188])).
% 1.42/0.58 fof(f190,plain,(
% 1.42/0.58 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|nota(X2,X3))),
% 1.42/0.58 inference(cnf_transformation,[status(thm)],[f189])).
% 1.42/0.58 fof(f215,plain,(
% 1.42/0.58 ![I]: model(I,sK52_skl)),
% 1.42/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27])).
% 1.42/0.58 fof(f216,plain,(
% 1.42/0.58 ![X0]: (model(X0,sK52_skl))),
% 1.42/0.58 inference(cnf_transformation,[status(thm)],[f215])).
% 1.42/0.58 fof(f217,plain,(
% 1.42/0.58 (model(sK54_skl,sK53_skl)&~model(sK55_skl,sK53_skl))),
% 1.42/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK53_skl,sK54_skl,sK55_skl]),skolemize(F,sK53_skl),skolemize(I1,sK54_skl),skolemize(I2,sK55_skl)],[f28])).
% 1.42/0.58 fof(f218,plain,(
% 1.42/0.58 model(sK54_skl,sK53_skl)),
% 1.42/0.58 inference(cnf_transformation,[status(thm)],[f217])).
% 1.42/0.58 fof(f219,plain,(
% 1.42/0.58 ~model(sK55_skl,sK53_skl)),
% 1.42/0.58 inference(cnf_transformation,[status(thm)],[f217])).
% 1.42/0.58 fof(f240,plain,(
% 1.42/0.58 ~nota(esa,thm)),
% 1.42/0.58 inference(cnf_transformation,[status(thm)],[f34])).
% 1.42/0.58 fof(f248,plain,(
% 1.42/0.58 ![X0,X1]: (model(X0,X1)|~status(sK52_skl,X1,thm))),
% 1.42/0.58 inference(resolution,[status(thm)],[f216,f68])).
% 1.42/0.58 fof(f249,plain,(
% 1.42/0.58 ![X0,X1]: (~model(X0,X1)|status(sK52_skl,X1,esa))),
% 1.42/0.58 inference(resolution,[status(thm)],[f216,f52])).
% 1.42/0.58 fof(f255,plain,(
% 1.42/0.58 status(sK52_skl,sK53_skl,esa)),
% 1.42/0.58 inference(resolution,[status(thm)],[f218,f249])).
% 1.42/0.58 fof(f272,definition,(
% 1.42/0.58 sQ2_spl <=> (nota(esa,thm))),
% 1.42/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 1.42/0.58 fof(f273,plain,(
% 1.42/0.58 nota(esa,thm)|~sQ2_spl),
% 1.42/0.58 inference(component_clause,[status(thm)],[f272])).
% 1.42/0.58 fof(f286,plain,(
% 1.42/0.58 $false|~sQ2_spl),
% 1.42/0.58 inference(forward_subsumption_resolution,[status(thm)],[f273,f240])).
% 1.42/0.58 fof(f287,plain,(
% 1.42/0.58 ~sQ2_spl),
% 1.42/0.58 inference(contradiction_clause,[status(thm)],[f286])).
% 1.42/0.58 fof(f1251,definition,(
% 1.42/0.58 ![X0]: (sQ85_spl <=> (model(X0,sK53_skl)))),
% 1.42/0.58 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 1.42/0.58 fof(f1252,plain,(
% 1.42/0.58 ![X0]: (model(X0,sK53_skl)|~sQ85_spl)),
% 1.42/0.58 inference(component_clause,[status(thm)],[f1251])).
% 1.42/0.58 fof(f1448,plain,(
% 1.42/0.58 ![X0]: (status(sK52_skl,sK53_skl,X0)|nota(esa,X0))),
% 1.42/0.58 inference(resolution,[status(thm)],[f255,f190])).
% 1.42/0.58 fof(f1450,plain,(
% 1.42/0.58 $false|~sQ85_spl),
% 1.42/0.58 inference(backward_subsumption_resolution,[status(thm)],[f219,f1252])).
% 1.42/0.58 fof(f1474,plain,(
% 1.42/0.58 ~sQ85_spl),
% 1.42/0.58 inference(contradiction_clause,[status(thm)],[f1450])).
% 1.42/0.58 fof(f2247,plain,(
% 1.42/0.58 ![X0]: (nota(esa,thm)|model(X0,sK53_skl))),
% 1.42/0.58 inference(resolution,[status(thm)],[f1448,f248])).
% 1.42/0.58 fof(f2252,plain,(
% 1.42/0.58 sQ2_spl|sQ85_spl),
% 1.42/0.58 inference(split_clause,[status(thm)],[f2247,f272,f1251])).
% 1.42/0.58 fof(f2265,plain,(
% 1.42/0.58 $false),
% 1.42/0.58 inference(sat_refutation,[status(thm)],[f287,f1474,f2252])).
% 1.42/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.42/0.58 % Elapsed time: 0.239431 seconds
% 1.42/0.58 % CPU time: 1.659806 seconds
% 1.42/0.58 % Total memory used: 41.018 MB
% 1.42/0.58 % Net memory used: 36.839 MB
%------------------------------------------------------------------------------