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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS092+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:00:14 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.37s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS092+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n005.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 20 22:53:19 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.10/0.37  % Refutation found
% 0.10/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37  fof(f3,axiom,(
% 0.10/0.37    (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& cowlThing(Y) ))& (! [Y] :( rr(X,Y)=> ( cd(Y)& cc(Y) ) ) )) ) )),
% 0.10/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37  fof(f4,axiom,(
% 0.10/0.37    (! [X] :( cc(X)=> ~ cd(X) ) )),
% 0.10/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37  fof(f9,axiom,(
% 0.10/0.37    cUnsatisfiable(i2003_11_14_17_20_04172) ),
% 0.10/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37  fof(f17,plain,(
% 0.10/0.37    ![X]: (cUnsatisfiable(X)<=>((?[Y]: (rr(X,Y)&cowlThing(Y)))&(![Y]: (~rr(X,Y)|(cd(Y)&cc(Y))))))),
% 0.10/0.37    inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.10/0.37  fof(f18,plain,(
% 0.10/0.37    ![X]: ((~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&cowlThing(Y)))&(![Y]: (~rr(X,Y)|(cd(Y)&cc(Y))))))&(cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~cowlThing(Y)))|(?[Y]: (rr(X,Y)&(~cd(Y)|~cc(Y)))))))),
% 0.10/0.37    inference(NNF_transformation,[status(thm)],[f17])).
% 0.10/0.37  fof(f19,plain,(
% 0.10/0.37    (![X]: (~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&cowlThing(Y)))&(![Y]: (~rr(X,Y)|(cd(Y)&cc(Y)))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~cowlThing(Y)))|(?[Y]: (rr(X,Y)&(~cd(Y)|~cc(Y)))))))),
% 0.10/0.37    inference(miniscoping,[status(thm)],[f18])).
% 0.10/0.37  fof(f20,plain,(
% 0.10/0.37    (![X]: (~cUnsatisfiable(X)|((rr(X,sK0_skl(X))&cowlThing(sK0_skl(X)))&(![Y]: (~rr(X,Y)|(cd(Y)&cc(Y)))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~cowlThing(Y)))|(rr(X,sK1_skl(X))&(~cd(sK1_skl(X))|~cc(sK1_skl(X)))))))),
% 0.10/0.37    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X))],[f19])).
% 0.10/0.37  fof(f21,plain,(
% 0.10/0.37    ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.10/0.37    inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.37  fof(f23,plain,(
% 0.10/0.37    ![X0,X1]: (~cUnsatisfiable(X0)|~rr(X0,X1)|cd(X1))),
% 0.10/0.37    inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.37  fof(f24,plain,(
% 0.10/0.37    ![X0,X1]: (~cUnsatisfiable(X0)|~rr(X0,X1)|cc(X1))),
% 0.10/0.37    inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.37  fof(f27,plain,(
% 0.10/0.37    ![X]: (~cc(X)|~cd(X))),
% 0.10/0.37    inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.10/0.37  fof(f28,plain,(
% 0.10/0.37    ![X0]: (~cc(X0)|~cd(X0))),
% 0.10/0.37    inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.37  fof(f37,plain,(
% 0.10/0.37    cUnsatisfiable(i2003_11_14_17_20_04172)),
% 0.10/0.37    inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.37  fof(f40,plain,(
% 0.10/0.37    ![X0]: (~rr(i2003_11_14_17_20_04172,X0)|cd(X0))),
% 0.10/0.37    inference(resolution,[status(thm)],[f23,f37])).
% 0.10/0.37  fof(f41,plain,(
% 0.10/0.37    cd(sK0_skl(i2003_11_14_17_20_04172))|~cUnsatisfiable(i2003_11_14_17_20_04172)),
% 0.10/0.37    inference(resolution,[status(thm)],[f40,f21])).
% 0.10/0.37  fof(f42,definition,(
% 0.10/0.37    sQ0_spl <=> (cd(sK0_skl(i2003_11_14_17_20_04172)))),
% 0.10/0.37    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.37  fof(f43,plain,(
% 0.10/0.37    cd(sK0_skl(i2003_11_14_17_20_04172))|~sQ0_spl),
% 0.10/0.37    inference(component_clause,[status(thm)],[f42])).
% 0.10/0.37  fof(f45,definition,(
% 0.10/0.37    sQ1_spl <=> (cUnsatisfiable(i2003_11_14_17_20_04172))),
% 0.10/0.37    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.37  fof(f47,plain,(
% 0.10/0.37    ~cUnsatisfiable(i2003_11_14_17_20_04172)|sQ1_spl),
% 0.10/0.37    inference(component_clause,[status(thm)],[f45])).
% 0.10/0.37  fof(f48,plain,(
% 0.10/0.37    sQ0_spl|~sQ1_spl),
% 0.10/0.37    inference(split_clause,[status(thm)],[f41,f42,f45])).
% 0.10/0.37  fof(f49,plain,(
% 0.10/0.37    ![X0]: (~rr(i2003_11_14_17_20_04172,X0)|cc(X0))),
% 0.10/0.37    inference(resolution,[status(thm)],[f24,f37])).
% 0.10/0.37  fof(f50,plain,(
% 0.10/0.37    cc(sK0_skl(i2003_11_14_17_20_04172))|~cUnsatisfiable(i2003_11_14_17_20_04172)),
% 0.10/0.37    inference(resolution,[status(thm)],[f49,f21])).
% 0.10/0.37  fof(f51,definition,(
% 0.10/0.37    sQ2_spl <=> (cc(sK0_skl(i2003_11_14_17_20_04172)))),
% 0.10/0.37    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.37  fof(f52,plain,(
% 0.10/0.37    cc(sK0_skl(i2003_11_14_17_20_04172))|~sQ2_spl),
% 0.10/0.37    inference(component_clause,[status(thm)],[f51])).
% 0.10/0.37  fof(f54,plain,(
% 0.10/0.37    sQ2_spl|~sQ1_spl),
% 0.10/0.37    inference(split_clause,[status(thm)],[f50,f51,f45])).
% 0.10/0.37  fof(f55,plain,(
% 0.10/0.37    $false|sQ1_spl),
% 0.10/0.37    inference(forward_subsumption_resolution,[status(thm)],[f47,f37])).
% 0.10/0.37  fof(f56,plain,(
% 0.10/0.37    sQ1_spl),
% 0.10/0.37    inference(contradiction_clause,[status(thm)],[f55])).
% 0.10/0.37  fof(f57,plain,(
% 0.10/0.37    ~cd(sK0_skl(i2003_11_14_17_20_04172))|~sQ2_spl),
% 0.10/0.37    inference(resolution,[status(thm)],[f52,f28])).
% 0.10/0.37  fof(f58,plain,(
% 0.10/0.37    $false|~sQ0_spl|~sQ2_spl),
% 0.10/0.37    inference(forward_subsumption_resolution,[status(thm)],[f57,f43])).
% 0.10/0.37  fof(f59,plain,(
% 0.10/0.37    ~sQ0_spl|~sQ2_spl),
% 0.10/0.37    inference(contradiction_clause,[status(thm)],[f58])).
% 0.10/0.37  fof(f60,plain,(
% 0.10/0.37    $false),
% 0.10/0.37    inference(sat_refutation,[status(thm)],[f48,f54,f56,f59])).
% 0.10/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.38  % Elapsed time: 0.014216 seconds
% 0.10/0.38  % CPU time: 0.014258 seconds
% 0.10/0.38  % Total memory used: 136.448 KB
% 0.10/0.38  % Net memory used: 134.272 KB
%------------------------------------------------------------------------------