%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS216+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 12.98s 2.13s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS216+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
% 0.15/0.42 % Computer : n005.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 20 22:57:18 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 12.98/2.13 % Refutation found
% 12.98/2.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.98/2.13 % SZS output start CNFRefutation for theBenchmark
% 12.98/2.13 fof(f5,axiom,(
% 12.98/2.13 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 12.98/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.98/2.13 fof(f18,axiom,(
% 12.98/2.13 (! [Ax,C] :( ( (! [I1] : model(I1,Ax))& (! [I2] : model(I2,not(C)) ))<=> status(Ax,C,uns) ) )),
% 12.98/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.98/2.13 fof(f21,axiom,(
% 12.98/2.13 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> status(Ax,C,S2) ))<=> isa(S1,S2) ) )),
% 12.98/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.98/2.13 fof(f22,axiom,(
% 12.98/2.13 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& ~ status(Ax,C,S2) ))<=> nota(S1,S2) ) )),
% 12.98/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.98/2.13 fof(f25,axiom,(
% 12.98/2.13 (! [I,F] :( model(I,F)<~> model(I,not(F)) ) )),
% 12.98/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.98/2.13 fof(f27,axiom,(
% 12.98/2.13 (? [F] :(! [I] : model(I,F) ))),
% 12.98/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.98/2.13 fof(f29,axiom,(
% 12.98/2.13 (? [F] :(! [I] : ~ model(I,F) ))),
% 12.98/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.98/2.13 fof(f33,conjecture,(
% 12.98/2.13 nota(uns,thm) ),
% 12.98/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.98/2.13 fof(f34,negated_conjecture,(
% 12.98/2.13 ~(nota(uns,thm) )),
% 12.98/2.13 inference(negated_conjecture,[status(cth)],[f33])).
% 12.98/2.13 fof(f62,plain,(
% 12.98/2.13 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 12.98/2.13 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 12.98/2.13 fof(f63,plain,(
% 12.98/2.13 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 12.98/2.13 inference(NNF_transformation,[status(thm)],[f62])).
% 12.98/2.13 fof(f64,plain,(
% 12.98/2.13 (![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)))),
% 12.98/2.13 inference(miniscoping,[status(thm)],[f63])).
% 12.98/2.13 fof(f65,plain,(
% 12.98/2.13 (![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)))),
% 12.98/2.14 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 12.98/2.14 fof(f68,plain,(
% 12.98/2.14 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f65])).
% 12.98/2.14 fof(f160,plain,(
% 12.98/2.14 ![Ax,C]: ((((?[I1]: ~model(I1,Ax))|(?[I2]: ~model(I2,not(C))))|status(Ax,C,uns))&(((![I1]: model(I1,Ax))&(![I2]: model(I2,not(C))))|~status(Ax,C,uns)))),
% 12.98/2.14 inference(NNF_transformation,[status(thm)],[f18])).
% 12.98/2.14 fof(f161,plain,(
% 12.98/2.14 (![Ax,C]: (((?[I1]: ~model(I1,Ax))|(?[I2]: ~model(I2,not(C))))|status(Ax,C,uns)))&(![Ax,C]: (((![I1]: model(I1,Ax))&(![I2]: model(I2,not(C))))|~status(Ax,C,uns)))),
% 12.98/2.14 inference(miniscoping,[status(thm)],[f160])).
% 12.98/2.14 fof(f162,plain,(
% 12.98/2.14 (![Ax,C]: ((~model(sK38_skl(C,Ax),Ax)|~model(sK39_skl(C,Ax),not(C)))|status(Ax,C,uns)))&(![Ax,C]: (((![I1]: model(I1,Ax))&(![I2]: model(I2,not(C))))|~status(Ax,C,uns)))),
% 12.98/2.14 inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl,sK39_skl]),skolemize(I1,sK38_skl(C,Ax)),skolemize(I2,sK39_skl(C,Ax))],[f161])).
% 12.98/2.14 fof(f163,plain,(
% 12.98/2.14 ![X0,X1]: (~model(sK38_skl(X0,X1),X1)|~model(sK39_skl(X0,X1),not(X0))|status(X1,X0,uns))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f162])).
% 12.98/2.14 fof(f165,plain,(
% 12.98/2.14 ![X0,X1,X2]: (model(X0,not(X1))|~status(X2,X1,uns))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f162])).
% 12.98/2.14 fof(f180,plain,(
% 12.98/2.14 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))<=>isa(S1,S2))),
% 12.98/2.14 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 12.98/2.14 fof(f181,plain,(
% 12.98/2.14 ![S1,S2]: (((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|isa(S1,S2))&((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 12.98/2.14 inference(NNF_transformation,[status(thm)],[f180])).
% 12.98/2.14 fof(f182,plain,(
% 12.98/2.14 (![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|isa(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 12.98/2.14 inference(miniscoping,[status(thm)],[f181])).
% 12.98/2.14 fof(f183,plain,(
% 12.98/2.14 (![S1,S2]: ((status(sK44_skl(S2,S1),sK45_skl(S2,S1),S1)&~status(sK44_skl(S2,S1),sK45_skl(S2,S1),S2))|isa(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 12.98/2.14 inference(skolemize,[status(esa),new_symbols(skolem,[sK44_skl,sK45_skl]),skolemize(Ax,sK44_skl(S2,S1)),skolemize(C,sK45_skl(S2,S1))],[f182])).
% 12.98/2.14 fof(f184,plain,(
% 12.98/2.14 ![X0,X1]: (status(sK44_skl(X0,X1),sK45_skl(X0,X1),X1)|isa(X1,X0))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f183])).
% 12.98/2.14 fof(f185,plain,(
% 12.98/2.14 ![X0,X1]: (~status(sK44_skl(X0,X1),sK45_skl(X0,X1),X0)|isa(X1,X0))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f183])).
% 12.98/2.14 fof(f186,plain,(
% 12.98/2.14 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|~isa(X2,X3))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f183])).
% 12.98/2.14 fof(f187,plain,(
% 12.98/2.14 ![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)))),
% 12.98/2.14 inference(NNF_transformation,[status(thm)],[f22])).
% 12.98/2.14 fof(f188,plain,(
% 12.98/2.14 (![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)))),
% 12.98/2.14 inference(miniscoping,[status(thm)],[f187])).
% 12.98/2.14 fof(f189,plain,(
% 12.98/2.14 (![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)))),
% 12.98/2.14 inference(skolemize,[status(esa),new_symbols(skolem,[sK46_skl,sK47_skl]),skolemize(Ax,sK46_skl(S2,S1)),skolemize(C,sK47_skl(S2,S1))],[f188])).
% 12.98/2.14 fof(f190,plain,(
% 12.98/2.14 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|nota(X2,X3))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f189])).
% 12.98/2.14 fof(f207,plain,(
% 12.98/2.14 ![I,F]: ((model(I,F)|model(I,not(F)))&(~model(I,F)|~model(I,not(F))))),
% 12.98/2.14 inference(NNF_transformation,[status(thm)],[f25])).
% 12.98/2.14 fof(f208,plain,(
% 12.98/2.14 (![I,F]: (model(I,F)|model(I,not(F))))&(![I,F]: (~model(I,F)|~model(I,not(F))))),
% 12.98/2.14 inference(miniscoping,[status(thm)],[f207])).
% 12.98/2.14 fof(f209,plain,(
% 12.98/2.14 ![X0,X1]: (model(X0,X1)|model(X0,not(X1)))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f208])).
% 12.98/2.14 fof(f210,plain,(
% 12.98/2.14 ![X0,X1]: (~model(X0,X1)|~model(X0,not(X1)))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f208])).
% 12.98/2.14 fof(f215,plain,(
% 12.98/2.14 ![I]: model(I,sK52_skl)),
% 12.98/2.14 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27])).
% 12.98/2.14 fof(f216,plain,(
% 12.98/2.14 ![X0]: (model(X0,sK52_skl))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f215])).
% 12.98/2.14 fof(f220,plain,(
% 12.98/2.14 ![I]: ~model(I,sK56_skl)),
% 12.98/2.14 inference(skolemize,[status(esa),new_symbols(skolem,[sK56_skl]),skolemize(F,sK56_skl)],[f29])).
% 12.98/2.14 fof(f221,plain,(
% 12.98/2.14 ![X0]: (~model(X0,sK56_skl))),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f220])).
% 12.98/2.14 fof(f240,plain,(
% 12.98/2.14 ~nota(uns,thm)),
% 12.98/2.14 inference(cnf_transformation,[status(thm)],[f34])).
% 12.98/2.14 fof(f337,plain,(
% 12.98/2.14 ![X0,X1,X2]: (~model(X0,X1)|~status(X2,X1,uns))),
% 12.98/2.14 inference(resolution,[status(thm)],[f210,f165])).
% 12.98/2.14 fof(f1988,plain,(
% 12.98/2.14 ![X0,X1,X2]: (~model(sK38_skl(X0,X1),X1)|status(X1,X0,uns)|~status(X2,X0,uns))),
% 12.98/2.14 inference(resolution,[status(thm)],[f163,f165])).
% 12.98/2.14 fof(f2003,plain,(
% 12.98/2.14 ![X0,X1]: (status(sK52_skl,X0,uns)|~status(X1,X0,uns))),
% 12.98/2.14 inference(resolution,[status(thm)],[f1988,f216])).
% 12.98/2.14 fof(f2453,plain,(
% 12.98/2.14 ![X0,X1,X2]: (isa(X0,X1)|status(sK44_skl(X1,X0),sK45_skl(X1,X0),X2)|nota(X0,X2))),
% 12.98/2.14 inference(resolution,[status(thm)],[f184,f190])).
% 12.98/2.14 fof(f2610,plain,(
% 12.98/2.14 ![X0,X1]: (isa(X0,X1)|nota(X0,X1)|isa(X0,X1))),
% 12.98/2.14 inference(resolution,[status(thm)],[f2453,f185])).
% 12.98/2.14 fof(f2635,plain,(
% 12.98/2.14 ![X0,X1]: (isa(X0,X1)|nota(X0,X1))),
% 12.98/2.14 inference(duplicate_literals_removal,[status(thm)],[f2610])).
% 12.98/2.14 fof(f2636,plain,(
% 12.98/2.14 isa(uns,thm)),
% 12.98/2.14 inference(resolution,[status(thm)],[f2635,f240])).
% 12.98/2.14 fof(f2637,plain,(
% 12.98/2.14 ![X0,X1]: (~status(X0,X1,uns)|status(X0,X1,thm))),
% 12.98/2.14 inference(resolution,[status(thm)],[f186,f2636])).
% 12.98/2.14 fof(f2681,plain,(
% 12.98/2.14 ![X0,X1]: (status(sK52_skl,X0,thm)|~status(X1,X0,uns))),
% 12.98/2.14 inference(resolution,[status(thm)],[f2637,f2003])).
% 12.98/2.14 fof(f2694,plain,(
% 12.98/2.14 ![X0,X1,X2]: (~status(X0,X1,uns)|~model(X2,sK52_skl)|model(X2,X1))),
% 12.98/2.14 inference(resolution,[status(thm)],[f2681,f68])).
% 12.98/2.14 fof(f2696,plain,(
% 12.98/2.14 ![X0,X1,X2]: (~status(X0,X1,uns)|model(X2,X1))),
% 12.98/2.14 inference(forward_subsumption_resolution,[status(thm)],[f2694,f216])).
% 12.98/2.16 fof(f2697,plain,(
% 12.98/2.16 ![X0,X1]: (~model(sK38_skl(X0,X1),X1)|~model(sK39_skl(X0,X1),not(X0)))),
% 12.98/2.16 inference(backward_subsumption_resolution,[status(thm)],[f163,f2698])).
% 12.98/2.16 fof(f2698,plain,(
% 12.98/2.16 ![X0,X1]: (~status(X0,X1,uns))),
% 12.98/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2696,f337])).
% 12.98/2.16 fof(f2739,plain,(
% 12.98/2.16 ![X0,X1]: (~model(sK38_skl(X0,X1),X1)|model(sK39_skl(X0,X1),X0))),
% 12.98/2.16 inference(resolution,[status(thm)],[f2697,f209])).
% 12.98/2.16 fof(f2985,plain,(
% 12.98/2.16 ![X0]: (model(sK39_skl(X0,sK52_skl),X0))),
% 12.98/2.16 inference(resolution,[status(thm)],[f2739,f216])).
% 12.98/2.16 fof(f2994,plain,(
% 12.98/2.16 $false),
% 12.98/2.16 inference(resolution,[status(thm)],[f2985,f221])).
% 12.98/2.16 % SZS output end CNFRefutation for theBenchmark.p
% 12.98/2.16 % Elapsed time: 1.726404 seconds
% 12.98/2.16 % CPU time: 13.327050 seconds
% 12.98/2.16 % Total memory used: 87.948 MB
% 12.98/2.16 % Net memory used: 73.119 MB
%------------------------------------------------------------------------------