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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS079+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 : n014.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 01:00:13 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS079+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
% 0.10/0.34  % Computer : n014.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8046.5625MB
% 0.10/0.34  % 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 22:52:35 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.35  % Drodi V4.1.1
% 0.10/0.38  % Refutation found
% 0.10/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38  fof(f14,axiom,(
% 0.10/0.38    (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.10/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38  fof(f16,axiom,(
% 0.10/0.38    (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rf2(X,Y)& cp2(Y) ))& (? [Y] :( rf1(X,Y)& cp1(Y) ))& (? [Y] :( rr(X,Y)& cowlThing(Y) ) )) ) )),
% 0.10/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38  fof(f17,axiom,(
% 0.10/0.38    (! [X] :( cp1(X)=> ~ cp2(X) ) )),
% 0.10/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38  fof(f18,axiom,(
% 0.10/0.38    (! [X] :( cowlThing(X)=> (! [Y0,Y1] :( ( rf1(X,Y0)& rf1(X,Y1) )=> Y0 = Y1 ) )) )),
% 0.10/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38  fof(f19,axiom,(
% 0.10/0.38    (! [X] :( cowlThing(X)=> (! [Y0,Y1] :( ( rf2(X,Y0)& rf2(X,Y1) )=> Y0 = Y1 ) )) )),
% 0.10/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38  fof(f20,axiom,(
% 0.10/0.38    cUnsatisfiable(i2003_11_14_17_19_17492) ),
% 0.10/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38  fof(f21,axiom,(
% 0.10/0.38    (! [X,Y] :( rr(X,Y)=> rf1(X,Y) ) )),
% 0.10/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38  fof(f22,axiom,(
% 0.10/0.38    (! [X,Y] :( rr(X,Y)=> rf2(X,Y) ) )),
% 0.10/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38  fof(f62,plain,(
% 0.10/0.38    (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.10/0.38    inference(miniscoping,[status(thm)],[f14])).
% 0.10/0.38  fof(f63,plain,(
% 0.10/0.38    ![X0]: (cowlThing(X0))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f62])).
% 0.10/0.38  fof(f69,plain,(
% 0.10/0.38    ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rf2(X,Y)&cp2(Y)))&(?[Y]: (rf1(X,Y)&cp1(Y))))&(?[Y]: (rr(X,Y)&cowlThing(Y)))))&(cUnsatisfiable(X)|(((![Y]: (~rf2(X,Y)|~cp2(Y)))|(![Y]: (~rf1(X,Y)|~cp1(Y))))|(![Y]: (~rr(X,Y)|~cowlThing(Y))))))),
% 0.10/0.38    inference(NNF_transformation,[status(thm)],[f16])).
% 0.10/0.38  fof(f70,plain,(
% 0.10/0.38    (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rf2(X,Y)&cp2(Y)))&(?[Y]: (rf1(X,Y)&cp1(Y))))&(?[Y]: (rr(X,Y)&cowlThing(Y))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf2(X,Y)|~cp2(Y)))|(![Y]: (~rf1(X,Y)|~cp1(Y))))|(![Y]: (~rr(X,Y)|~cowlThing(Y))))))),
% 0.10/0.38    inference(miniscoping,[status(thm)],[f69])).
% 0.10/0.38  fof(f71,plain,(
% 0.10/0.38    (![X]: (~cUnsatisfiable(X)|(((rf2(X,sK0_skl(X))&cp2(sK0_skl(X)))&(rf1(X,sK1_skl(X))&cp1(sK1_skl(X))))&(rr(X,sK2_skl(X))&cowlThing(sK2_skl(X))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf2(X,Y)|~cp2(Y)))|(![Y]: (~rf1(X,Y)|~cp1(Y))))|(![Y]: (~rr(X,Y)|~cowlThing(Y))))))),
% 0.10/0.38    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f70])).
% 0.10/0.38  fof(f72,plain,(
% 0.10/0.38    ![X0]: (~cUnsatisfiable(X0)|rf2(X0,sK0_skl(X0)))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f71])).
% 0.10/0.38  fof(f73,plain,(
% 0.10/0.38    ![X0]: (~cUnsatisfiable(X0)|cp2(sK0_skl(X0)))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f71])).
% 0.10/0.38  fof(f74,plain,(
% 0.10/0.38    ![X0]: (~cUnsatisfiable(X0)|rf1(X0,sK1_skl(X0)))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f71])).
% 0.10/0.38  fof(f75,plain,(
% 0.10/0.38    ![X0]: (~cUnsatisfiable(X0)|cp1(sK1_skl(X0)))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f71])).
% 0.10/0.38  fof(f76,plain,(
% 0.10/0.38    ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK2_skl(X0)))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f71])).
% 0.10/0.38  fof(f79,plain,(
% 0.10/0.38    ![X]: (~cp1(X)|~cp2(X))),
% 0.10/0.38    inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.10/0.38  fof(f80,plain,(
% 0.10/0.38    ![X0]: (~cp1(X0)|~cp2(X0))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f79])).
% 0.10/0.38  fof(f81,plain,(
% 0.10/0.38    ![X]: (~cowlThing(X)|(![Y0,Y1]: ((~rf1(X,Y0)|~rf1(X,Y1))|Y0=Y1)))),
% 0.10/0.38    inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.10/0.38  fof(f82,plain,(
% 0.10/0.38    ![X0,X1,X2]: (~cowlThing(X0)|~rf1(X0,X1)|~rf1(X0,X2)|X1=X2)),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f81])).
% 0.10/0.38  fof(f83,plain,(
% 0.10/0.38    ![X]: (~cowlThing(X)|(![Y0,Y1]: ((~rf2(X,Y0)|~rf2(X,Y1))|Y0=Y1)))),
% 0.10/0.38    inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.10/0.38  fof(f84,plain,(
% 0.10/0.38    ![X0,X1,X2]: (~cowlThing(X0)|~rf2(X0,X1)|~rf2(X0,X2)|X1=X2)),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f83])).
% 0.10/0.38  fof(f85,plain,(
% 0.10/0.38    cUnsatisfiable(i2003_11_14_17_19_17492)),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.38  fof(f86,plain,(
% 0.10/0.38    ![X,Y]: (~rr(X,Y)|rf1(X,Y))),
% 0.10/0.38    inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.10/0.38  fof(f87,plain,(
% 0.10/0.38    ![X0,X1]: (~rr(X0,X1)|rf1(X0,X1))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f86])).
% 0.10/0.38  fof(f88,plain,(
% 0.10/0.38    ![X,Y]: (~rr(X,Y)|rf2(X,Y))),
% 0.10/0.38    inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.10/0.38  fof(f89,plain,(
% 0.10/0.38    ![X0,X1]: (~rr(X0,X1)|rf2(X0,X1))),
% 0.10/0.38    inference(cnf_transformation,[status(thm)],[f88])).
% 0.10/0.38  fof(f91,plain,(
% 0.10/0.38    rf2(i2003_11_14_17_19_17492,sK0_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f72,f85])).
% 0.10/0.38  fof(f92,plain,(
% 0.10/0.38    cp2(sK0_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f73,f85])).
% 0.10/0.38  fof(f93,plain,(
% 0.10/0.38    rf1(i2003_11_14_17_19_17492,sK1_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f74,f85])).
% 0.10/0.38  fof(f94,plain,(
% 0.10/0.38    ~cp1(sK0_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f92,f80])).
% 0.10/0.38  fof(f95,plain,(
% 0.10/0.38    cp1(sK1_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f75,f85])).
% 0.10/0.38  fof(f96,plain,(
% 0.10/0.38    rr(i2003_11_14_17_19_17492,sK2_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f76,f85])).
% 0.10/0.38  fof(f98,plain,(
% 0.10/0.38    ![X0,X1,X2]: (~rf1(X0,X1)|~rf1(X0,X2)|X1=X2)),
% 0.10/0.38    inference(forward_subsumption_resolution,[status(thm)],[f82,f63])).
% 0.10/0.38  fof(f99,plain,(
% 0.10/0.38    ![X0,X1,X2]: (~rf2(X0,X1)|~rf2(X0,X2)|X1=X2)),
% 0.10/0.38    inference(forward_subsumption_resolution,[status(thm)],[f84,f63])).
% 0.10/0.38  fof(f100,plain,(
% 0.10/0.38    ![X0]: (~rf2(i2003_11_14_17_19_17492,X0)|X0=sK0_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f91,f99])).
% 0.10/0.38  fof(f101,plain,(
% 0.10/0.38    ![X0]: (~rf1(i2003_11_14_17_19_17492,X0)|X0=sK1_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f93,f98])).
% 0.10/0.38  fof(f102,plain,(
% 0.10/0.38    rf2(i2003_11_14_17_19_17492,sK2_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f96,f89])).
% 0.10/0.38  fof(f103,plain,(
% 0.10/0.38    rf1(i2003_11_14_17_19_17492,sK2_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(resolution,[status(thm)],[f96,f87])).
% 0.10/0.38  fof(f106,plain,(
% 0.10/0.38    sK2_skl(i2003_11_14_17_19_17492)=sK0_skl(i2003_11_14_17_19_17492)),
% 0.10/0.38    inference(resolution,[status(thm)],[f102,f100])).
% 0.10/0.38  fof(f109,plain,(
% 0.10/0.38    sK2_skl(i2003_11_14_17_19_17492)=sK1_skl(i2003_11_14_17_19_17492)),
% 0.10/0.38    inference(resolution,[status(thm)],[f103,f101])).
% 0.10/0.38  fof(f121,plain,(
% 0.10/0.38    cp1(sK0_skl(i2003_11_14_17_19_17492))),
% 0.10/0.38    inference(backward_demodulation,[status(thm)],[f122,f95])).
% 0.10/0.38  fof(f122,plain,(
% 0.10/0.38    sK0_skl(i2003_11_14_17_19_17492)=sK1_skl(i2003_11_14_17_19_17492)),
% 0.10/0.38    inference(forward_demodulation,[status(thm)],[f106,f109])).
% 0.10/0.38  fof(f123,plain,(
% 0.10/0.38    $false),
% 0.10/0.38    inference(forward_subsumption_resolution,[status(thm)],[f121,f94])).
% 0.10/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39  % Elapsed time: 0.036534 seconds
% 0.12/0.39  % CPU time: 0.083030 seconds
% 0.12/0.39  % Total memory used: 2.299 MB
% 0.12/0.39  % Net memory used: 2.224 MB
%------------------------------------------------------------------------------