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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS262+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 01:00:29 PM UTC 2026

% Result   : Theorem 0.13s 5.60s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS262+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36  % Computer : n010.cluster.edu
% 0.10/5.36  % Model    : x86_64 x86_64
% 0.10/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36  % Memory   : 8046.5625MB
% 0.10/5.36  % OS       : Linux 6.8.0-71-generic
% 0.10/5.36  % CPULimit : 300
% 0.10/5.36  % WCLimit  : 300
% 0.10/5.36  % DateTime : Sun Sep 20 23:00:45 UTC 2026
% 0.10/5.36  % CPUTime  : 
% 0.10/5.38  % Drodi V4.1.1
% 0.13/5.60  % Refutation found
% 0.13/5.60  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.60  % SZS output start CNFRefutation for theBenchmark
% 0.13/5.60  fof(f5,axiom,(
% 0.13/5.60    (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.13/5.60    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.60  fof(f10,axiom,(
% 0.13/5.60    (! [Ax,C] :( (! [I1] :( model(I1,Ax)& model(I1,C) ))<=> status(Ax,C,tau) ) )),
% 0.13/5.60    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.60  fof(f20,axiom,(
% 0.13/5.60    (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 0.13/5.60    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.60  fof(f23,axiom,(
% 0.13/5.60    (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> ~ status(Ax,C,S2) ))<=> nevera(S1,S2) ) )),
% 0.13/5.60    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.60  fof(f27,axiom,(
% 0.13/5.60    (? [F] :(! [I] : model(I,F) ))),
% 0.13/5.60    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.60  fof(f33,conjecture,(
% 0.13/5.60    mighta(tau,thm) ),
% 0.13/5.60    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.60  fof(f34,negated_conjecture,(
% 0.13/5.60    ~(mighta(tau,thm) )),
% 0.13/5.60    inference(negated_conjecture,[status(cth)],[f33])).
% 0.13/5.60  fof(f62,plain,(
% 0.13/5.60    ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.13/5.60    inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/5.60  fof(f63,plain,(
% 0.13/5.60    ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.13/5.60    inference(NNF_transformation,[status(thm)],[f62])).
% 0.13/5.60  fof(f64,plain,(
% 0.13/5.60    (![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)))),
% 0.13/5.60    inference(miniscoping,[status(thm)],[f63])).
% 0.13/5.60  fof(f65,plain,(
% 0.13/5.60    (![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)))),
% 0.13/5.60    inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.13/5.60  fof(f67,plain,(
% 0.13/5.60    ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 0.13/5.60    inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/5.60  fof(f102,plain,(
% 0.13/5.60    ![Ax,C]: (((?[I1]: (~model(I1,Ax)|~model(I1,C)))|status(Ax,C,tau))&((![I1]: (model(I1,Ax)&model(I1,C)))|~status(Ax,C,tau)))),
% 0.13/5.60    inference(NNF_transformation,[status(thm)],[f10])).
% 0.13/5.60  fof(f103,plain,(
% 0.13/5.60    (![Ax,C]: (((?[I1]: ~model(I1,Ax))|(?[I1]: ~model(I1,C)))|status(Ax,C,tau)))&(![Ax,C]: (((![I1]: model(I1,Ax))&(![I1]: model(I1,C)))|~status(Ax,C,tau)))),
% 0.13/5.60    inference(miniscoping,[status(thm)],[f102])).
% 0.13/5.60  fof(f104,plain,(
% 0.13/5.60    (![Ax,C]: ((~model(sK20_skl(C,Ax),Ax)|~model(sK21_skl(C,Ax),C))|status(Ax,C,tau)))&(![Ax,C]: (((![I1]: model(I1,Ax))&(![I1]: model(I1,C)))|~status(Ax,C,tau)))),
% 0.13/5.60    inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(I1,sK20_skl(C,Ax)),skolemize(I1,sK21_skl(C,Ax))],[f103])).
% 0.13/5.60  fof(f105,plain,(
% 0.13/5.60    ![X0,X1]: (~model(sK20_skl(X0,X1),X1)|~model(sK21_skl(X0,X1),X0)|status(X1,X0,tau))),
% 0.13/5.60    inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/5.60  fof(f107,plain,(
% 0.13/5.60    ![X0,X1,X2]: (model(X0,X1)|~status(X2,X1,tau))),
% 0.13/5.60    inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/5.60  fof(f174,plain,(
% 0.13/5.60    ![S1,S2]: (((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|mighta(S1,S2))&((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|~mighta(S1,S2)))),
% 0.13/5.60    inference(NNF_transformation,[status(thm)],[f20])).
% 0.13/5.60  fof(f175,plain,(
% 0.13/5.60    (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|mighta(S1,S2)))&(![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|~mighta(S1,S2)))),
% 0.13/5.60    inference(miniscoping,[status(thm)],[f174])).
% 0.13/5.60  fof(f176,plain,(
% 0.13/5.60    (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|mighta(S1,S2)))&(![S1,S2]: ((status(sK42_skl(S2,S1),sK43_skl(S2,S1),S1)&status(sK42_skl(S2,S1),sK43_skl(S2,S1),S2))|~mighta(S1,S2)))),
% 0.13/5.60    inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175])).
% 0.13/5.60  fof(f177,plain,(
% 0.13/5.60    ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 0.13/5.60    inference(cnf_transformation,[status(thm)],[f176])).
% 0.13/5.60  fof(f193,plain,(
% 0.13/5.60    ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))<=>nevera(S1,S2))),
% 0.13/5.60    inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.13/5.60  fof(f194,plain,(
% 0.13/5.60    ![S1,S2]: (((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|nevera(S1,S2))&((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|~nevera(S1,S2)))),
% 0.13/5.60    inference(NNF_transformation,[status(thm)],[f193])).
% 0.13/5.60  fof(f195,plain,(
% 0.13/5.60    (![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|nevera(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|~nevera(S1,S2)))),
% 0.13/5.60    inference(miniscoping,[status(thm)],[f194])).
% 0.13/5.60  fof(f196,plain,(
% 0.13/5.60    (![S1,S2]: ((status(sK48_skl(S2,S1),sK49_skl(S2,S1),S1)&status(sK48_skl(S2,S1),sK49_skl(S2,S1),S2))|nevera(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|~nevera(S1,S2)))),
% 0.13/5.60    inference(skolemize,[status(esa),new_symbols(skolem,[sK48_skl,sK49_skl]),skolemize(Ax,sK48_skl(S2,S1)),skolemize(C,sK49_skl(S2,S1))],[f195])).
% 0.13/5.60  fof(f197,plain,(
% 0.13/5.60    ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X1)|nevera(X1,X0))),
% 0.13/5.60    inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/5.60  fof(f198,plain,(
% 0.13/5.60    ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X0)|nevera(X1,X0))),
% 0.13/5.60    inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/5.60  fof(f199,plain,(
% 0.13/5.60    ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|~nevera(X2,X3))),
% 0.13/5.60    inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/5.60  fof(f215,plain,(
% 0.13/5.60    ![I]: model(I,sK52_skl)),
% 0.13/5.60    inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27])).
% 0.13/5.60  fof(f216,plain,(
% 0.13/5.60    ![X0]: (model(X0,sK52_skl))),
% 0.13/5.60    inference(cnf_transformation,[status(thm)],[f215])).
% 0.13/5.60  fof(f240,plain,(
% 0.13/5.60    ~mighta(tau,thm)),
% 0.13/5.60    inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/5.60  fof(f344,plain,(
% 0.13/5.60    ![X0,X1,X2]: (status(X0,X1,thm)|~status(X2,X1,tau))),
% 0.13/5.60    inference(resolution,[status(thm)],[f67,f107])).
% 0.13/5.60  fof(f1780,plain,(
% 0.13/5.60    ![X0,X1,X2]: (nevera(X0,X1)|~status(sK48_skl(X1,X0),sK49_skl(X1,X0),X2)|mighta(X2,X0))),
% 0.13/5.60    inference(resolution,[status(thm)],[f197,f177])).
% 0.13/5.60  fof(f1828,plain,(
% 0.13/5.60    ![X0,X1]: (nevera(X0,X1)|nevera(X0,X1)|mighta(X1,X0))),
% 0.13/5.60    inference(resolution,[status(thm)],[f198,f1780])).
% 0.13/5.60  fof(f1895,plain,(
% 0.13/5.60    ![X0,X1]: (nevera(X0,X1)|mighta(X1,X0))),
% 0.13/5.60    inference(duplicate_literals_removal,[status(thm)],[f1828])).
% 0.13/5.60  fof(f1905,plain,(
% 0.13/5.60    nevera(thm,tau)),
% 0.13/5.60    inference(resolution,[status(thm)],[f1895,f240])).
% 0.13/5.60  fof(f1917,plain,(
% 0.13/5.60    ![X0,X1]: (~status(X0,X1,thm)|~status(X0,X1,tau))),
% 0.13/5.60    inference(resolution,[status(thm)],[f1905,f199])).
% 0.13/5.60  fof(f1918,plain,(
% 0.13/5.60    ![X0,X1]: (~status(X0,X1,tau))),
% 0.13/5.60    inference(forward_subsumption_resolution,[status(thm)],[f1917,f344])).
% 0.13/5.60  fof(f1920,plain,(
% 0.13/5.60    ![X0,X1]: (~model(sK20_skl(X0,X1),X1)|~model(sK21_skl(X0,X1),X0))),
% 0.13/5.60    inference(backward_subsumption_resolution,[status(thm)],[f105,f1918])).
% 0.13/5.60  fof(f1927,plain,(
% 0.13/5.60    ![X0]: (~model(sK20_skl(sK52_skl,X0),X0))),
% 0.13/5.60    inference(resolution,[status(thm)],[f1920,f216])).
% 0.13/5.60  fof(f1937,plain,(
% 0.13/5.60    $false),
% 0.13/5.60    inference(resolution,[status(thm)],[f1927,f216])).
% 0.13/5.60  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.61  % Elapsed time: 0.234307 seconds
% 0.13/5.61  % CPU time: 1.631059 seconds
% 0.13/5.61  % Total memory used: 39.438 MB
% 0.13/5.61  % Net memory used: 36.456 MB
%------------------------------------------------------------------------------