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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS181+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 : n026.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 0.10s 0.37s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS181+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n026.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Sun Sep 20 22:58:37 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  % Drodi V4.1.1
% 0.10/0.37  % Refutation found
% 0.10/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37  fof(f2,axiom,(
% 0.10/0.37    (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> status(Ax,C,S2) ))<=> isa(S1,S2) ) )),
% 0.10/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37  fof(f3,axiom,(
% 0.10/0.37    (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& ~ status(Ax,C,S2) ))<=> nota(S1,S2) ) )),
% 0.10/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37  fof(f14,conjecture,(
% 0.10/0.37    (! [S1,S2,S3] :( ( isa(S1,S2)& nota(S1,S3) )=> nota(S2,S3) ) )),
% 0.10/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37  fof(f15,negated_conjecture,(
% 0.10/0.37    ~((! [S1,S2,S3] :( ( isa(S1,S2)& nota(S1,S3) )=> nota(S2,S3) ) ))),
% 0.10/0.37    inference(negated_conjecture,[status(cth)],[f14])).
% 0.10/0.37  fof(f22,plain,(
% 0.10/0.37    ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))<=>isa(S1,S2))),
% 0.10/0.37    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.37  fof(f23,plain,(
% 0.10/0.37    ![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)))),
% 0.10/0.37    inference(NNF_transformation,[status(thm)],[f22])).
% 0.10/0.37  fof(f24,plain,(
% 0.10/0.37    (![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)))),
% 0.10/0.37    inference(miniscoping,[status(thm)],[f23])).
% 0.10/0.37  fof(f25,plain,(
% 0.10/0.37    (![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)))),
% 0.10/0.37    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(Ax,sK2_skl(S2,S1)),skolemize(C,sK3_skl(S2,S1))],[f24])).
% 0.10/0.37  fof(f28,plain,(
% 0.10/0.37    ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|~isa(X2,X3))),
% 0.10/0.37    inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.37  fof(f29,plain,(
% 0.10/0.37    ![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)))),
% 0.10/0.37    inference(NNF_transformation,[status(thm)],[f3])).
% 0.10/0.37  fof(f30,plain,(
% 0.10/0.37    (![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)))),
% 0.10/0.38    inference(miniscoping,[status(thm)],[f29])).
% 0.10/0.38  fof(f31,plain,(
% 0.10/0.38    (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2)))&(![S1,S2]: ((status(sK4_skl(S2,S1),sK5_skl(S2,S1),S1)&~status(sK4_skl(S2,S1),sK5_skl(S2,S1),S2))|~nota(S1,S2)))),
% 0.10/0.38    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(Ax,sK4_skl(S2,S1)),skolemize(C,sK5_skl(S2,S1))],[f30])).
% 0.10/0.38  fof(f32,plain,(
% 0.10/0.38    ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|nota(X2,X3))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.38  fof(f33,plain,(
% 0.10/0.38    ![X0,X1]: (status(sK4_skl(X0,X1),sK5_skl(X0,X1),X1)|~nota(X1,X0))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.38  fof(f34,plain,(
% 0.10/0.38    ![X0,X1]: (~status(sK4_skl(X0,X1),sK5_skl(X0,X1),X0)|~nota(X1,X0))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.38  fof(f82,plain,(
% 0.10/0.38    (?[S1,S2,S3]: ((isa(S1,S2)&nota(S1,S3))&~nota(S2,S3)))),
% 0.10/0.38    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.10/0.38  fof(f83,plain,(
% 0.10/0.38    ?[S2,S3]: ((?[S1]: (isa(S1,S2)&nota(S1,S3)))&~nota(S2,S3))),
% 0.10/0.38    inference(miniscoping,[status(thm)],[f82])).
% 0.10/0.38  fof(f84,plain,(
% 0.10/0.38    ((isa(sK31_skl,sK29_skl)&nota(sK31_skl,sK30_skl))&~nota(sK29_skl,sK30_skl))),
% 0.10/0.38    inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl,sK30_skl,sK31_skl]),skolemize(S2,sK29_skl),skolemize(S3,sK30_skl),skolemize(S1,sK31_skl)],[f83])).
% 0.10/0.38  fof(f85,plain,(
% 0.10/0.38    isa(sK31_skl,sK29_skl)),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f84])).
% 0.10/0.38  fof(f86,plain,(
% 0.10/0.38    nota(sK31_skl,sK30_skl)),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f84])).
% 0.10/0.38  fof(f87,plain,(
% 0.10/0.38    ~nota(sK29_skl,sK30_skl)),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f84])).
% 0.10/0.38  fof(f88,plain,(
% 0.10/0.38    ![X0,X1,X2,X3,X4]: (status(X0,X1,X2)|nota(X3,X2)|~status(X0,X1,X4)|~isa(X4,X3))),
% 0.10/0.38    inference(resolution,[status(thm)],[f32,f28])).
% 0.10/0.38  fof(f89,plain,(
% 0.10/0.38    ![X0,X1,X2]: (status(X0,X1,X2)|nota(sK29_skl,X2)|~status(X0,X1,sK31_skl))),
% 0.10/0.38    inference(resolution,[status(thm)],[f88,f85])).
% 0.10/0.38  fof(f100,plain,(
% 0.10/0.38    status(sK4_skl(sK30_skl,sK31_skl),sK5_skl(sK30_skl,sK31_skl),sK31_skl)),
% 0.10/0.38    inference(resolution,[status(thm)],[f33,f86])).
% 0.10/0.38  fof(f110,plain,(
% 0.10/0.38    ![X0]: (status(sK4_skl(sK30_skl,sK31_skl),sK5_skl(sK30_skl,sK31_skl),X0)|nota(sK29_skl,X0))),
% 0.10/0.38    inference(resolution,[status(thm)],[f100,f89])).
% 0.10/0.38  fof(f112,plain,(
% 0.10/0.38    nota(sK29_skl,sK30_skl)|~nota(sK31_skl,sK30_skl)),
% 0.10/0.38    inference(resolution,[status(thm)],[f110,f34])).
% 0.10/0.38  fof(f115,definition,(
% 0.10/0.38    sQ0_spl <=> (nota(sK29_skl,sK30_skl))),
% 0.10/0.38    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.38  fof(f116,plain,(
% 0.10/0.38    nota(sK29_skl,sK30_skl)|~sQ0_spl),
% 0.10/0.38    inference(component_clause,[status(thm)],[f115])).
% 0.10/0.38  fof(f118,definition,(
% 0.10/0.38    sQ1_spl <=> (nota(sK31_skl,sK30_skl))),
% 0.10/0.38    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.38  fof(f120,plain,(
% 0.10/0.38    ~nota(sK31_skl,sK30_skl)|sQ1_spl),
% 0.10/0.38    inference(component_clause,[status(thm)],[f118])).
% 0.10/0.38  fof(f121,plain,(
% 0.10/0.38    sQ0_spl|~sQ1_spl),
% 0.10/0.38    inference(split_clause,[status(thm)],[f112,f115,f118])).
% 0.10/0.38  fof(f129,plain,(
% 0.10/0.38    $false|~sQ0_spl),
% 0.10/0.38    inference(forward_subsumption_resolution,[status(thm)],[f116,f87])).
% 0.10/0.38  fof(f130,plain,(
% 0.10/0.38    ~sQ0_spl),
% 0.10/0.38    inference(contradiction_clause,[status(thm)],[f129])).
% 0.10/0.38  fof(f131,plain,(
% 0.10/0.38    $false|sQ1_spl),
% 0.10/0.38    inference(forward_subsumption_resolution,[status(thm)],[f120,f86])).
% 0.10/0.38  fof(f132,plain,(
% 0.10/0.38    sQ1_spl),
% 0.10/0.38    inference(contradiction_clause,[status(thm)],[f131])).
% 0.10/0.38  fof(f133,plain,(
% 0.10/0.38    $false),
% 0.10/0.38    inference(sat_refutation,[status(thm)],[f121,f130,f132])).
% 0.10/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40  % Elapsed time: 0.032722 seconds
% 0.13/0.40  % CPU time: 0.064606 seconds
% 0.13/0.40  % Total memory used: 7.274 MB
% 0.13/0.40  % Net memory used: 7.105 MB
%------------------------------------------------------------------------------