%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS203+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 : n001.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 0.14s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS203+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 % Computer : n001.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Sun Sep 20 23:01:44 UTC 2026
% 0.14/0.44 % CPUTime :
% 0.14/0.45 % Drodi V4.1.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.52 fof(f4,axiom,(
% 0.14/0.52 (! [Ax,C] :( (? [I1] :( model(I1,Ax)& model(I1,C) ))<=> status(Ax,C,sat) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f5,axiom,(
% 0.14/0.52 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f22,axiom,(
% 0.14/0.52 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& ~ status(Ax,C,S2) ))<=> nota(S1,S2) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f27,axiom,(
% 0.14/0.52 (? [F] :(! [I] : model(I,F) ))),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f28,axiom,(
% 0.14/0.52 (? [F] :( (? [I1] : model(I1,F))& (? [I2] : ~ model(I2,F) )) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f33,conjecture,(
% 0.14/0.52 nota(sat,thm) ),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f34,negated_conjecture,(
% 0.14/0.52 ~(nota(sat,thm) )),
% 0.14/0.52 inference(negated_conjecture,[status(cth)],[f33])).
% 0.14/0.52 fof(f56,plain,(
% 0.14/0.52 ![Ax,C]: (((![I1]: (~model(I1,Ax)|~model(I1,C)))|status(Ax,C,sat))&((?[I1]: (model(I1,Ax)&model(I1,C)))|~status(Ax,C,sat)))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.52 fof(f57,plain,(
% 0.14/0.52 (![Ax,C]: ((![I1]: (~model(I1,Ax)|~model(I1,C)))|status(Ax,C,sat)))&(![Ax,C]: ((?[I1]: (model(I1,Ax)&model(I1,C)))|~status(Ax,C,sat)))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f56])).
% 0.14/0.52 fof(f58,plain,(
% 0.14/0.52 (![Ax,C]: ((![I1]: (~model(I1,Ax)|~model(I1,C)))|status(Ax,C,sat)))&(![Ax,C]: ((model(sK8_skl(C,Ax),Ax)&model(sK8_skl(C,Ax),C))|~status(Ax,C,sat)))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(I1,sK8_skl(C,Ax))],[f57])).
% 0.14/0.52 fof(f59,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~model(X0,X1)|~model(X0,X2)|status(X1,X2,sat))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f58])).
% 0.14/0.52 fof(f62,plain,(
% 0.14/0.52 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.52 fof(f63,plain,(
% 0.14/0.52 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f62])).
% 0.14/0.52 fof(f64,plain,(
% 0.14/0.52 (![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)))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f63])).
% 0.14/0.52 fof(f65,plain,(
% 0.14/0.52 (![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)))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.14/0.52 fof(f68,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.52 fof(f187,plain,(
% 0.14/0.52 ![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)))),
% 0.14/0.52 inference(NNF_transformation,[status(thm)],[f22])).
% 0.14/0.52 fof(f188,plain,(
% 0.14/0.52 (![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)))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f187])).
% 0.14/0.52 fof(f189,plain,(
% 0.14/0.52 (![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)))),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK46_skl,sK47_skl]),skolemize(Ax,sK46_skl(S2,S1)),skolemize(C,sK47_skl(S2,S1))],[f188])).
% 0.14/0.52 fof(f190,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|nota(X2,X3))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f189])).
% 0.14/0.52 fof(f215,plain,(
% 0.14/0.52 ![I]: model(I,sK52_skl)),
% 0.14/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27])).
% 0.14/0.52 fof(f216,plain,(
% 0.14/0.52 ![X0]: (model(X0,sK52_skl))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f215])).
% 0.14/0.52 fof(f217,plain,(
% 0.14/0.52 (model(sK54_skl,sK53_skl)&~model(sK55_skl,sK53_skl))),
% 0.14/0.52 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])).
% 0.14/0.52 fof(f218,plain,(
% 0.14/0.52 model(sK54_skl,sK53_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f217])).
% 0.14/0.52 fof(f219,plain,(
% 0.14/0.52 ~model(sK55_skl,sK53_skl)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f217])).
% 0.14/0.52 fof(f240,plain,(
% 0.14/0.52 ~nota(sat,thm)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.52 fof(f249,plain,(
% 0.14/0.52 ![X0]: (~model(sK54_skl,X0)|status(X0,sK53_skl,sat))),
% 0.14/0.52 inference(resolution,[status(thm)],[f218,f59])).
% 0.14/0.52 fof(f256,plain,(
% 0.14/0.52 ![X0,X1]: (status(X0,sK53_skl,X1)|nota(sat,X1)|~model(sK54_skl,X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f190,f249])).
% 0.14/0.52 fof(f332,definition,(
% 0.14/0.52 sQ19_spl <=> (nota(sat,thm))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f333,plain,(
% 0.14/0.52 nota(sat,thm)|~sQ19_spl),
% 0.14/0.52 inference(component_clause,[status(thm)],[f332])).
% 0.14/0.52 fof(f339,plain,(
% 0.14/0.52 $false|~sQ19_spl),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f333,f240])).
% 0.14/0.52 fof(f340,plain,(
% 0.14/0.52 ~sQ19_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f339])).
% 0.14/0.52 fof(f344,plain,(
% 0.14/0.52 ![X0]: (status(sK52_skl,sK53_skl,X0)|nota(sat,X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f256,f216])).
% 0.14/0.52 fof(f366,plain,(
% 0.14/0.52 ![X0]: (nota(sat,thm)|~model(X0,sK52_skl)|model(X0,sK53_skl))),
% 0.14/0.52 inference(resolution,[status(thm)],[f344,f68])).
% 0.14/0.52 fof(f376,definition,(
% 0.14/0.52 ![X0]: (sQ27_spl <=> (~model(X0,sK52_skl)|model(X0,sK53_skl)))),
% 0.14/0.52 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.52 fof(f377,plain,(
% 0.14/0.52 ![X0]: (~model(X0,sK52_skl)|model(X0,sK53_skl)|~sQ27_spl)),
% 0.14/0.52 inference(component_clause,[status(thm)],[f376])).
% 0.14/0.52 fof(f379,plain,(
% 0.14/0.52 sQ19_spl|sQ27_spl),
% 0.14/0.52 inference(split_clause,[status(thm)],[f366,f332,f376])).
% 0.14/0.52 fof(f380,plain,(
% 0.14/0.52 $false|~sQ27_spl),
% 0.14/0.52 inference(backward_subsumption_resolution,[status(thm)],[f219,f381])).
% 0.14/0.52 fof(f381,plain,(
% 0.14/0.52 ![X0]: (model(X0,sK53_skl)|~sQ27_spl)),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f377,f216])).
% 0.14/0.52 fof(f382,plain,(
% 0.14/0.52 ~sQ27_spl),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f380])).
% 0.14/0.52 fof(f383,plain,(
% 0.14/0.52 $false),
% 0.14/0.52 inference(sat_refutation,[status(thm)],[f340,f379,f382])).
% 0.14/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.56 % Elapsed time: 0.102242 seconds
% 0.14/0.56 % CPU time: 0.382054 seconds
% 0.14/0.56 % Total memory used: 20.871 MB
% 0.14/0.56 % Net memory used: 20.476 MB
%------------------------------------------------------------------------------