%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS200+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 : 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 01:00:25 PM UTC 2026
% Result : Theorem 0.18s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS200+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % Computer : n006.cluster.edu
% 0.18/0.48 % Model : x86_64 x86_64
% 0.18/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.48 % Memory : 8046.5625MB
% 0.18/0.48 % OS : Linux 6.8.0-71-generic
% 0.18/0.48 % CPULimit : 300
% 0.18/0.48 % WCLimit : 300
% 0.18/0.48 % DateTime : Sun Sep 20 22:56:27 UTC 2026
% 0.18/0.49 % CPUTime :
% 0.18/0.50 % Drodi V4.1.1
% 0.18/0.51 % Refutation found
% 0.18/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.51 fof(f1,axiom,(
% 0.18/0.51 (! [Ax,C] :( ( ~ (? [I1] : model(I1,Ax))=> ~ (? [I2] : model(I2,C) ))<=> status(Ax,C,unp) ) )),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f5,axiom,(
% 0.18/0.51 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f22,axiom,(
% 0.18/0.51 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& ~ status(Ax,C,S2) ))<=> nota(S1,S2) ) )),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f27,axiom,(
% 0.18/0.51 (? [F] :(! [I] : model(I,F) ))),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f29,axiom,(
% 0.18/0.51 (? [F] :(! [I] : ~ model(I,F) ))),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f33,conjecture,(
% 0.18/0.51 nota(unp,thm) ),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f34,negated_conjecture,(
% 0.18/0.51 ~(nota(unp,thm) )),
% 0.18/0.51 inference(negated_conjecture,[status(cth)],[f33])).
% 0.18/0.51 fof(f35,plain,(
% 0.18/0.51 ![Ax,C]: (((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))<=>status(Ax,C,unp))),
% 0.18/0.51 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.18/0.51 fof(f36,plain,(
% 0.18/0.51 ![Ax,C]: ((((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))|status(Ax,C,unp))&(((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|~status(Ax,C,unp)))),
% 0.18/0.51 inference(NNF_transformation,[status(thm)],[f35])).
% 0.18/0.51 fof(f37,plain,(
% 0.18/0.51 (![Ax,C]: (((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))|status(Ax,C,unp)))&(![Ax,C]: (((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|~status(Ax,C,unp)))),
% 0.18/0.51 inference(miniscoping,[status(thm)],[f36])).
% 0.18/0.51 fof(f38,plain,(
% 0.18/0.51 (![Ax,C]: (((![I1]: ~model(I1,Ax))&model(sK0_skl(C,Ax),C))|status(Ax,C,unp)))&(![Ax,C]: ((model(sK1_skl(C,Ax),Ax)|(![I2]: ~model(I2,C)))|~status(Ax,C,unp)))),
% 0.18/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(I2,sK0_skl(C,Ax)),skolemize(I1,sK1_skl(C,Ax))],[f37])).
% 0.18/0.51 fof(f39,plain,(
% 0.18/0.51 ![X0,X1,X2]: (~model(X0,X1)|status(X1,X2,unp))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f38])).
% 0.18/0.51 fof(f62,plain,(
% 0.18/0.51 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.18/0.51 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.18/0.51 fof(f63,plain,(
% 0.18/0.51 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.18/0.51 inference(NNF_transformation,[status(thm)],[f62])).
% 0.18/0.51 fof(f64,plain,(
% 0.18/0.51 (![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)))),
% 0.18/0.51 inference(miniscoping,[status(thm)],[f63])).
% 0.18/0.51 fof(f65,plain,(
% 0.18/0.51 (![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)))),
% 0.18/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.18/0.51 fof(f68,plain,(
% 0.18/0.51 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f65])).
% 0.18/0.51 fof(f187,plain,(
% 0.18/0.51 ![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)))),
% 0.18/0.51 inference(NNF_transformation,[status(thm)],[f22])).
% 0.18/0.51 fof(f188,plain,(
% 0.18/0.51 (![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)))),
% 0.18/0.51 inference(miniscoping,[status(thm)],[f187])).
% 0.18/0.51 fof(f189,plain,(
% 0.18/0.51 (![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)))),
% 0.18/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK46_skl,sK47_skl]),skolemize(Ax,sK46_skl(S2,S1)),skolemize(C,sK47_skl(S2,S1))],[f188])).
% 0.18/0.51 fof(f190,plain,(
% 0.18/0.51 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|nota(X2,X3))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f189])).
% 0.18/0.51 fof(f215,plain,(
% 0.18/0.51 ![I]: model(I,sK52_skl)),
% 0.18/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27])).
% 0.22/0.53 fof(f216,plain,(
% 0.22/0.53 ![X0]: (model(X0,sK52_skl))),
% 0.22/0.53 inference(cnf_transformation,[status(thm)],[f215])).
% 0.22/0.53 fof(f220,plain,(
% 0.22/0.53 ![I]: ~model(I,sK56_skl)),
% 0.22/0.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK56_skl]),skolemize(F,sK56_skl)],[f29])).
% 0.22/0.53 fof(f221,plain,(
% 0.22/0.53 ![X0]: (~model(X0,sK56_skl))),
% 0.22/0.53 inference(cnf_transformation,[status(thm)],[f220])).
% 0.22/0.53 fof(f240,plain,(
% 0.22/0.53 ~nota(unp,thm)),
% 0.22/0.53 inference(cnf_transformation,[status(thm)],[f34])).
% 0.22/0.53 fof(f248,plain,(
% 0.22/0.53 ![X0,X1]: (model(X0,X1)|~status(sK52_skl,X1,thm))),
% 0.22/0.53 inference(resolution,[status(thm)],[f216,f68])).
% 0.22/0.53 fof(f249,plain,(
% 0.22/0.53 ![X0]: (status(sK52_skl,X0,unp))),
% 0.22/0.53 inference(resolution,[status(thm)],[f216,f39])).
% 0.22/0.53 fof(f250,plain,(
% 0.22/0.53 ![X0,X1]: (status(sK52_skl,X0,X1)|nota(unp,X1))),
% 0.22/0.53 inference(resolution,[status(thm)],[f249,f190])).
% 0.22/0.53 fof(f251,plain,(
% 0.22/0.53 ![X0,X1]: (nota(unp,thm)|model(X0,X1))),
% 0.22/0.53 inference(resolution,[status(thm)],[f250,f248])).
% 0.22/0.53 fof(f253,definition,(
% 0.22/0.53 sQ2_spl <=> (nota(unp,thm))),
% 0.22/0.53 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.22/0.53 fof(f254,plain,(
% 0.22/0.53 nota(unp,thm)|~sQ2_spl),
% 0.22/0.53 inference(component_clause,[status(thm)],[f253])).
% 0.22/0.53 fof(f256,definition,(
% 0.22/0.53 ![X0,X1]: (sQ3_spl <=> (model(X0,X1)))),
% 0.22/0.53 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.22/0.53 fof(f257,plain,(
% 0.22/0.53 ![X0,X1]: (model(X0,X1)|~sQ3_spl)),
% 0.22/0.53 inference(component_clause,[status(thm)],[f256])).
% 0.22/0.53 fof(f259,plain,(
% 0.22/0.53 sQ2_spl|sQ3_spl),
% 0.22/0.53 inference(split_clause,[status(thm)],[f251,f253,f256])).
% 0.22/0.53 fof(f260,plain,(
% 0.22/0.53 $false|~sQ2_spl),
% 0.22/0.53 inference(forward_subsumption_resolution,[status(thm)],[f254,f240])).
% 0.22/0.53 fof(f261,plain,(
% 0.22/0.53 ~sQ2_spl),
% 0.22/0.53 inference(contradiction_clause,[status(thm)],[f260])).
% 0.22/0.53 fof(f275,plain,(
% 0.22/0.53 $false|~sQ3_spl),
% 0.22/0.53 inference(forward_subsumption_resolution,[status(thm)],[f221,f257])).
% 0.22/0.53 fof(f276,plain,(
% 0.22/0.53 ~sQ3_spl),
% 0.22/0.53 inference(contradiction_clause,[status(thm)],[f275])).
% 0.22/0.53 fof(f277,plain,(
% 0.22/0.53 $false),
% 0.22/0.53 inference(sat_refutation,[status(thm)],[f259,f261,f276])).
% 0.22/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.57 % Elapsed time: 0.071735 seconds
% 0.22/0.57 % CPU time: 0.064378 seconds
% 0.22/0.57 % Total memory used: 672.464 KB
% 0.22/0.57 % Net memory used: 666.784 KB
%------------------------------------------------------------------------------