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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS178+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 : n008.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 01:00:23 PM UTC 2026

% Result   : Theorem 0.13s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS178+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
% 0.08/0.35  % Computer : n008.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sun Sep 20 22:56:09 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.37  % Drodi V4.1.1
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39  fof(f2,axiom,(
% 0.13/0.39    (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> status(Ax,C,S2) ))<=> isa(S1,S2) ) )),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f14,conjecture,(
% 0.13/0.39    (! [S1] : isa(S1,S1) )),
% 0.13/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39  fof(f15,negated_conjecture,(
% 0.13/0.39    ~((! [S1] : isa(S1,S1) ))),
% 0.13/0.39    inference(negated_conjecture,[status(cth)],[f14])).
% 0.13/0.39  fof(f22,plain,(
% 0.13/0.39    ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))<=>isa(S1,S2))),
% 0.13/0.39    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39  fof(f23,plain,(
% 0.13/0.39    ![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)))),
% 0.13/0.39    inference(NNF_transformation,[status(thm)],[f22])).
% 0.13/0.39  fof(f24,plain,(
% 0.13/0.39    (![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)))),
% 0.13/0.39    inference(miniscoping,[status(thm)],[f23])).
% 0.13/0.39  fof(f25,plain,(
% 0.13/0.39    (![S1,S2]: ((status(sK2_skl(S2,S1),sK3_skl(S2,S1),S1)&~status(sK2_skl(S2,S1),sK3_skl(S2,S1),S2))|isa(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.13/0.39    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(Ax,sK2_skl(S2,S1)),skolemize(C,sK3_skl(S2,S1))],[f24])).
% 0.13/0.39  fof(f26,plain,(
% 0.13/0.39    ![X0,X1]: (status(sK2_skl(X0,X1),sK3_skl(X0,X1),X1)|isa(X1,X0))),
% 0.13/0.39    inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.39  fof(f27,plain,(
% 0.13/0.39    ![X0,X1]: (~status(sK2_skl(X0,X1),sK3_skl(X0,X1),X0)|isa(X1,X0))),
% 0.13/0.39    inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.39  fof(f82,plain,(
% 0.13/0.39    (?[S1]: ~isa(S1,S1))),
% 0.13/0.39    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.39  fof(f83,plain,(
% 0.13/0.39    ~isa(sK29_skl,sK29_skl)),
% 0.13/0.39    inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl]),skolemize(S1,sK29_skl)],[f82])).
% 0.13/0.39  fof(f84,plain,(
% 0.13/0.39    ~isa(sK29_skl,sK29_skl)),
% 0.13/0.39    inference(cnf_transformation,[status(thm)],[f83])).
% 0.13/0.39  fof(f88,plain,(
% 0.13/0.39    ![X0]: (isa(X0,X0)|isa(X0,X0))),
% 0.13/0.39    inference(resolution,[status(thm)],[f27,f26])).
% 0.13/0.39  fof(f89,plain,(
% 0.13/0.39    ![X0]: (isa(X0,X0))),
% 0.13/0.39    inference(duplicate_literals_removal,[status(thm)],[f88])).
% 0.13/0.39  fof(f91,plain,(
% 0.13/0.39    $false),
% 0.13/0.39    inference(backward_subsumption_resolution,[status(thm)],[f84,f89])).
% 0.13/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41  % Elapsed time: 0.044477 seconds
% 0.13/0.41  % CPU time: 0.113994 seconds
% 0.13/0.41  % Total memory used: 15.939 MB
% 0.13/0.41  % Net memory used: 15.453 MB
%------------------------------------------------------------------------------