%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS217+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 : n005.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 01:00:26 PM UTC 2026
% Result : Theorem 0.12s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS217+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
% 0.07/0.35 % Computer : n005.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 22:57:03 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.12/0.50 % Refutation found
% 0.12/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.50 fof(f5,axiom,(
% 0.12/0.50 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f19,axiom,(
% 0.12/0.50 (! [Ax,C] :( ( (? [I1] :( model(I1,Ax)& model(I1,C) ))& (? [I2] :( model(I2,Ax)& model(I2,not(C)) ) ))<=> status(Ax,C,noc) ) )),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f22,axiom,(
% 0.12/0.50 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& ~ status(Ax,C,S2) ))<=> nota(S1,S2) ) )),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f25,axiom,(
% 0.12/0.50 (! [I,F] :( model(I,F)<~> model(I,not(F)) ) )),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f27,axiom,(
% 0.12/0.50 (? [F] :(! [I] : model(I,F) ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f31,axiom,(
% 0.12/0.50 (? [Ax,C] :( (? [I1] : model(I1,Ax))& (! [I2] :( model(I2,Ax)=> model(I2,C) ))& (? [I3] :( ~ model(I3,Ax)& model(I3,C) ))& (? [I4] : ~ model(I4,C) )) )),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f33,conjecture,(
% 0.12/0.50 nota(noc,thm) ),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f34,negated_conjecture,(
% 0.12/0.50 ~(nota(noc,thm) )),
% 0.12/0.50 inference(negated_conjecture,[status(cth)],[f33])).
% 0.12/0.50 fof(f62,plain,(
% 0.12/0.50 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.12/0.50 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.50 fof(f63,plain,(
% 0.12/0.50 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.12/0.50 inference(NNF_transformation,[status(thm)],[f62])).
% 0.12/0.50 fof(f64,plain,(
% 0.12/0.50 (![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)))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f63])).
% 0.12/0.50 fof(f65,plain,(
% 0.12/0.50 (![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)))),
% 0.12/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.12/0.50 fof(f68,plain,(
% 0.12/0.50 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.50 fof(f166,plain,(
% 0.12/0.50 ![Ax,C]: ((((![I1]: (~model(I1,Ax)|~model(I1,C)))|(![I2]: (~model(I2,Ax)|~model(I2,not(C)))))|status(Ax,C,noc))&(((?[I1]: (model(I1,Ax)&model(I1,C)))&(?[I2]: (model(I2,Ax)&model(I2,not(C)))))|~status(Ax,C,noc)))),
% 0.12/0.50 inference(NNF_transformation,[status(thm)],[f19])).
% 0.12/0.50 fof(f167,plain,(
% 0.12/0.50 (![Ax,C]: (((![I1]: (~model(I1,Ax)|~model(I1,C)))|(![I2]: (~model(I2,Ax)|~model(I2,not(C)))))|status(Ax,C,noc)))&(![Ax,C]: (((?[I1]: (model(I1,Ax)&model(I1,C)))&(?[I2]: (model(I2,Ax)&model(I2,not(C)))))|~status(Ax,C,noc)))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f166])).
% 0.12/0.50 fof(f168,plain,(
% 0.12/0.50 (![Ax,C]: (((![I1]: (~model(I1,Ax)|~model(I1,C)))|(![I2]: (~model(I2,Ax)|~model(I2,not(C)))))|status(Ax,C,noc)))&(![Ax,C]: (((model(sK40_skl(C,Ax),Ax)&model(sK40_skl(C,Ax),C))&(model(sK41_skl(C,Ax),Ax)&model(sK41_skl(C,Ax),not(C))))|~status(Ax,C,noc)))),
% 0.12/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK40_skl,sK41_skl]),skolemize(I1,sK40_skl(C,Ax)),skolemize(I2,sK41_skl(C,Ax))],[f167])).
% 0.12/0.50 fof(f169,plain,(
% 0.12/0.50 ![X0,X1,X2,X3]: (~model(X0,X1)|~model(X0,X2)|~model(X3,X1)|~model(X3,not(X2))|status(X1,X2,noc))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f168])).
% 0.12/0.50 fof(f187,plain,(
% 0.12/0.50 ![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)))),
% 0.12/0.50 inference(NNF_transformation,[status(thm)],[f22])).
% 0.12/0.50 fof(f188,plain,(
% 0.12/0.50 (![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)))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f187])).
% 0.12/0.50 fof(f189,plain,(
% 0.12/0.50 (![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)))),
% 0.12/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK46_skl,sK47_skl]),skolemize(Ax,sK46_skl(S2,S1)),skolemize(C,sK47_skl(S2,S1))],[f188])).
% 0.12/0.50 fof(f190,plain,(
% 0.12/0.50 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|nota(X2,X3))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f189])).
% 0.12/0.50 fof(f207,plain,(
% 0.12/0.50 ![I,F]: ((model(I,F)|model(I,not(F)))&(~model(I,F)|~model(I,not(F))))),
% 0.12/0.50 inference(NNF_transformation,[status(thm)],[f25])).
% 0.12/0.50 fof(f208,plain,(
% 0.12/0.50 (![I,F]: (model(I,F)|model(I,not(F))))&(![I,F]: (~model(I,F)|~model(I,not(F))))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f207])).
% 0.12/0.50 fof(f209,plain,(
% 0.12/0.50 ![X0,X1]: (model(X0,X1)|model(X0,not(X1)))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f208])).
% 0.12/0.50 fof(f215,plain,(
% 0.12/0.50 ![I]: model(I,sK52_skl)),
% 0.12/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27])).
% 0.12/0.50 fof(f216,plain,(
% 0.12/0.50 ![X0]: (model(X0,sK52_skl))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f215])).
% 0.12/0.50 fof(f227,plain,(
% 0.12/0.50 ?[Ax,C]: ((((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C))))&(?[I4]: ~model(I4,C)))),
% 0.12/0.50 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.12/0.50 fof(f228,plain,(
% 0.12/0.50 ?[C]: ((?[Ax]: (((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C)))))&(?[I4]: ~model(I4,C)))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f227])).
% 0.12/0.50 fof(f229,plain,(
% 0.12/0.50 (((model(sK64_skl,sK63_skl)&(![I2]: (~model(I2,sK63_skl)|model(I2,sK62_skl))))&(~model(sK65_skl,sK63_skl)&model(sK65_skl,sK62_skl)))&~model(sK66_skl,sK62_skl))),
% 0.12/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK62_skl,sK63_skl,sK64_skl,sK65_skl,sK66_skl]),skolemize(C,sK62_skl),skolemize(Ax,sK63_skl),skolemize(I1,sK64_skl),skolemize(I3,sK65_skl),skolemize(I4,sK66_skl)],[f228])).
% 0.12/0.50 fof(f233,plain,(
% 0.12/0.50 model(sK65_skl,sK62_skl)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f229])).
% 0.12/0.50 fof(f234,plain,(
% 0.12/0.50 ~model(sK66_skl,sK62_skl)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f229])).
% 0.12/0.50 fof(f240,plain,(
% 0.12/0.50 ~nota(noc,thm)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.50 fof(f351,plain,(
% 0.12/0.50 ![X0,X1]: (model(X0,X1)|~status(sK52_skl,X1,thm))),
% 0.12/0.50 inference(resolution,[status(thm)],[f216,f68])).
% 0.12/0.50 fof(f412,plain,(
% 0.12/0.50 ![X0,X1,X2,X3]: (model(X0,X1)|~model(X2,X3)|~model(X2,X1)|~model(X0,X3)|status(X3,X1,noc))),
% 0.12/0.50 inference(resolution,[status(thm)],[f209,f169])).
% 0.12/0.50 fof(f428,definition,(
% 0.12/0.50 ![X1]: (sQ19_spl <=> (model(X1,sK62_skl)))),
% 0.12/0.50 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.50 fof(f429,plain,(
% 0.12/0.50 ![X0]: (model(X0,sK62_skl)|~sQ19_spl)),
% 0.12/0.50 inference(component_clause,[status(thm)],[f428])).
% 0.12/0.50 fof(f449,plain,(
% 0.12/0.50 $false|~sQ19_spl),
% 0.12/0.50 inference(backward_subsumption_resolution,[status(thm)],[f234,f429])).
% 0.12/0.50 fof(f450,plain,(
% 0.12/0.50 ~sQ19_spl),
% 0.12/0.50 inference(contradiction_clause,[status(thm)],[f449])).
% 0.12/0.50 fof(f501,plain,(
% 0.12/0.50 ![X0,X1,X2]: (model(X0,X1)|~model(X2,X1)|~model(X0,sK52_skl)|status(sK52_skl,X1,noc))),
% 0.12/0.50 inference(resolution,[status(thm)],[f412,f216])).
% 0.12/0.50 fof(f504,plain,(
% 0.12/0.50 ![X0,X1,X2]: (model(X0,X1)|~model(X2,X1)|status(sK52_skl,X1,noc))),
% 0.12/0.50 inference(forward_subsumption_resolution,[status(thm)],[f501,f216])).
% 0.12/0.50 fof(f561,plain,(
% 0.12/0.50 ![X0]: (model(X0,sK62_skl)|status(sK52_skl,sK62_skl,noc))),
% 0.12/0.50 inference(resolution,[status(thm)],[f504,f233])).
% 0.12/0.50 fof(f573,definition,(
% 0.12/0.50 sQ31_spl <=> (status(sK52_skl,sK62_skl,noc))),
% 0.12/0.50 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.12/0.50 fof(f574,plain,(
% 0.12/0.50 status(sK52_skl,sK62_skl,noc)|~sQ31_spl),
% 0.12/0.50 inference(component_clause,[status(thm)],[f573])).
% 0.12/0.50 fof(f576,plain,(
% 0.12/0.50 sQ19_spl|sQ31_spl),
% 0.12/0.50 inference(split_clause,[status(thm)],[f561,f428,f573])).
% 0.12/0.50 fof(f651,plain,(
% 0.12/0.50 ![X0]: (status(sK52_skl,sK62_skl,X0)|nota(noc,X0)|~sQ31_spl)),
% 0.12/0.50 inference(resolution,[status(thm)],[f574,f190])).
% 0.12/0.50 fof(f792,plain,(
% 0.12/0.50 ![X0]: (nota(noc,thm)|model(X0,sK62_skl)|~sQ31_spl)),
% 0.12/0.50 inference(resolution,[status(thm)],[f651,f351])).
% 0.12/0.50 fof(f795,definition,(
% 0.12/0.50 sQ49_spl <=> (nota(noc,thm))),
% 0.12/0.50 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.12/0.50 fof(f796,plain,(
% 0.12/0.50 nota(noc,thm)|~sQ49_spl),
% 0.12/0.50 inference(component_clause,[status(thm)],[f795])).
% 0.12/0.51 fof(f798,plain,(
% 0.12/0.51 sQ49_spl|sQ19_spl|~sQ31_spl),
% 0.12/0.51 inference(split_clause,[status(thm)],[f792,f795,f428,f573])).
% 0.12/0.51 fof(f799,plain,(
% 0.12/0.51 $false|~sQ49_spl),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f796,f240])).
% 0.12/0.51 fof(f800,plain,(
% 0.12/0.51 ~sQ49_spl),
% 0.12/0.51 inference(contradiction_clause,[status(thm)],[f799])).
% 0.12/0.51 fof(f801,plain,(
% 0.12/0.51 $false),
% 0.12/0.51 inference(sat_refutation,[status(thm)],[f450,f576,f798,f800])).
% 0.12/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.51 % Elapsed time: 0.154964 seconds
% 0.12/0.51 % CPU time: 0.985215 seconds
% 0.12/0.51 % Total memory used: 31.449 MB
% 0.12/0.51 % Net memory used: 29.428 MB
%------------------------------------------------------------------------------