TSTP Solution File: NUM473+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:29:17 EDT 2023

% Result   : Theorem 121.50s 15.74s
% Output   : CNFRefutation 122.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUM473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n008.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 09:51:53 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.5.1
% 121.50/15.74  % Refutation found
% 121.50/15.74  % SZS status Theorem for theBenchmark: Theorem is valid
% 121.50/15.74  % SZS output start CNFRefutation for theBenchmark
% 121.50/15.74  fof(f4,axiom,(
% 121.50/15.74    (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f21,axiom,(
% 121.50/15.74    (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f23,axiom,(
% 121.50/15.74    (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f25,axiom,(
% 121.50/15.74    (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( W0 != sz00& W1 != W2& sdtlseqdt0(W1,W2) )=> ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)& sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(W1,W0) != sdtasdt0(W2,W0)& sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) )),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f31,definition,(
% 121.50/15.74    (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( W2 = sdtsldt0(W1,W0)<=> ( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) ) )) ) )),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f34,hypothesis,(
% 121.50/15.74    ( aNaturalNumber0(xl)& aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f35,hypothesis,(
% 121.50/15.74    ( doDivides0(xl,xm)& doDivides0(xl,sdtpldt0(xm,xn)) ) ),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f36,hypothesis,(
% 121.50/15.74    xl != sz00 ),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f37,hypothesis,(
% 121.50/15.74    xp = sdtsldt0(xm,xl) ),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f38,hypothesis,(
% 121.50/15.74    xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f39,hypothesis,(
% 121.50/15.74    sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f40,conjecture,(
% 121.50/15.74    sdtlseqdt0(xp,xq) ),
% 121.50/15.74    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 121.50/15.74  fof(f41,negated_conjecture,(
% 121.50/15.74    ~(sdtlseqdt0(xp,xq) )),
% 121.50/15.74    inference(negated_conjecture,[status(cth)],[f40])).
% 121.50/15.74  fof(f48,plain,(
% 121.50/15.74    ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 121.50/15.74    inference(pre_NNF_transformation,[status(esa)],[f4])).
% 121.50/15.74  fof(f49,plain,(
% 121.50/15.74    ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 121.50/15.74    inference(cnf_transformation,[status(esa)],[f48])).
% 121.50/15.74  fof(f97,plain,(
% 121.50/15.74    ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 121.50/15.74    inference(pre_NNF_transformation,[status(esa)],[f21])).
% 121.50/15.74  fof(f98,plain,(
% 121.50/15.74    ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 121.50/15.74    inference(cnf_transformation,[status(esa)],[f97])).
% 121.50/15.74  fof(f101,plain,(
% 121.50/15.74    ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 121.50/15.74    inference(pre_NNF_transformation,[status(esa)],[f23])).
% 121.50/15.74  fof(f103,plain,(
% 121.50/15.74    ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 121.50/15.74    inference(cnf_transformation,[status(esa)],[f101])).
% 121.50/15.74  fof(f109,plain,(
% 121.50/15.74    ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|(((W0=sz00|W1=W2)|~sdtlseqdt0(W1,W2))|(((~sdtasdt0(W0,W1)=sdtasdt0(W0,W2)&sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)))&~sdtasdt0(W1,W0)=sdtasdt0(W2,W0))&sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)))))),
% 121.50/15.74    inference(pre_NNF_transformation,[status(esa)],[f25])).
% 121.50/15.74  fof(f111,plain,(
% 121.50/15.74    ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 121.50/15.74    inference(cnf_transformation,[status(esa)],[f109])).
% 121.50/15.74  fof(f129,plain,(
% 121.50/15.74    ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (W2=sdtsldt0(W1,W0)<=>(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),
% 121.50/15.75    inference(pre_NNF_transformation,[status(esa)],[f31])).
% 121.50/15.75  fof(f130,plain,(
% 121.50/15.75    ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: ((~W2=sdtsldt0(W1,W0)|(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))&(W2=sdtsldt0(W1,W0)|(~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2)))))))),
% 121.50/15.75    inference(NNF_transformation,[status(esa)],[f129])).
% 121.50/15.75  fof(f131,plain,(
% 121.50/15.75    ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|((![W2]: (~W2=sdtsldt0(W1,W0)|(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))&(![W2]: (W2=sdtsldt0(W1,W0)|(~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2)))))))),
% 121.50/15.75    inference(miniscoping,[status(esa)],[f130])).
% 121.50/15.75  fof(f132,plain,(
% 121.50/15.75    ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|aNaturalNumber0(X2))),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f131])).
% 121.50/15.75  fof(f133,plain,(
% 121.50/15.75    ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|X1=sdtasdt0(X0,X2))),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f131])).
% 121.50/15.75  fof(f139,plain,(
% 121.50/15.75    aNaturalNumber0(xl)),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f34])).
% 121.50/15.75  fof(f140,plain,(
% 121.50/15.75    aNaturalNumber0(xm)),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f34])).
% 121.50/15.75  fof(f141,plain,(
% 121.50/15.75    aNaturalNumber0(xn)),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f34])).
% 121.50/15.75  fof(f142,plain,(
% 121.50/15.75    doDivides0(xl,xm)),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f35])).
% 121.50/15.75  fof(f143,plain,(
% 121.50/15.75    doDivides0(xl,sdtpldt0(xm,xn))),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f35])).
% 121.50/15.75  fof(f144,plain,(
% 121.50/15.75    ~xl=sz00),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f36])).
% 121.50/15.75  fof(f145,plain,(
% 121.50/15.75    xp=sdtsldt0(xm,xl)),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f37])).
% 121.50/15.75  fof(f146,plain,(
% 121.50/15.75    xq=sdtsldt0(sdtpldt0(xm,xn),xl)),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f38])).
% 121.50/15.75  fof(f147,plain,(
% 121.50/15.75    sdtlseqdt0(xm,sdtpldt0(xm,xn))),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f39])).
% 121.50/15.75  fof(f148,plain,(
% 121.50/15.75    ~sdtlseqdt0(xp,xq)),
% 121.50/15.75    inference(cnf_transformation,[status(esa)],[f41])).
% 121.50/15.75  fof(f151,plain,(
% 121.50/15.75    spl0_0 <=> aNaturalNumber0(xq)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f154,plain,(
% 121.50/15.75    spl0_1 <=> aNaturalNumber0(xp)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f157,plain,(
% 121.50/15.75    spl0_2 <=> sdtlseqdt0(xq,xp)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f160,plain,(
% 121.50/15.75    ~aNaturalNumber0(xq)|~aNaturalNumber0(xp)|sdtlseqdt0(xq,xp)),
% 121.50/15.75    inference(resolution,[status(thm)],[f103,f148])).
% 121.50/15.75  fof(f161,plain,(
% 121.50/15.75    ~spl0_0|~spl0_1|spl0_2),
% 121.50/15.75    inference(split_clause,[status(thm)],[f160,f151,f154,f157])).
% 121.50/15.75  fof(f310,plain,(
% 121.50/15.75    spl0_10 <=> aNaturalNumber0(sdtpldt0(xm,xn))),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f312,plain,(
% 121.50/15.75    ~aNaturalNumber0(sdtpldt0(xm,xn))|spl0_10),
% 121.50/15.75    inference(component_clause,[status(thm)],[f310])).
% 121.50/15.75  fof(f313,plain,(
% 121.50/15.75    spl0_11 <=> aNaturalNumber0(xm)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f315,plain,(
% 121.50/15.75    ~aNaturalNumber0(xm)|spl0_11),
% 121.50/15.75    inference(component_clause,[status(thm)],[f313])).
% 121.50/15.75  fof(f326,plain,(
% 121.50/15.75    spl0_14 <=> xm=sdtpldt0(xm,xn)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f327,plain,(
% 121.50/15.75    xm=sdtpldt0(xm,xn)|~spl0_14),
% 121.50/15.75    inference(component_clause,[status(thm)],[f326])).
% 121.50/15.75  fof(f341,plain,(
% 121.50/15.75    spl0_17 <=> sdtlseqdt0(sdtpldt0(xm,xn),xm)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f344,plain,(
% 121.50/15.75    ~aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(xm,xn),xm)|sdtpldt0(xm,xn)=xm),
% 121.50/15.75    inference(resolution,[status(thm)],[f147,f98])).
% 121.50/15.75  fof(f345,plain,(
% 121.50/15.75    ~spl0_10|~spl0_11|~spl0_17|spl0_14),
% 121.50/15.75    inference(split_clause,[status(thm)],[f344,f310,f313,f341,f326])).
% 121.50/15.75  fof(f2504,plain,(
% 121.50/15.75    $false|spl0_11),
% 121.50/15.75    inference(forward_subsumption_resolution,[status(thm)],[f140,f315])).
% 121.50/15.75  fof(f2505,plain,(
% 121.50/15.75    spl0_11),
% 121.50/15.75    inference(contradiction_clause,[status(thm)],[f2504])).
% 121.50/15.75  fof(f5136,plain,(
% 121.50/15.75    spl0_434 <=> aNaturalNumber0(xn)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f5138,plain,(
% 121.50/15.75    ~aNaturalNumber0(xn)|spl0_434),
% 121.50/15.75    inference(component_clause,[status(thm)],[f5136])).
% 121.50/15.75  fof(f5139,plain,(
% 121.50/15.75    ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|spl0_10),
% 121.50/15.75    inference(resolution,[status(thm)],[f49,f312])).
% 121.50/15.75  fof(f5140,plain,(
% 121.50/15.75    ~spl0_11|~spl0_434|spl0_10),
% 121.50/15.75    inference(split_clause,[status(thm)],[f5139,f313,f5136,f310])).
% 121.50/15.75  fof(f5141,plain,(
% 121.50/15.75    $false|spl0_434),
% 121.50/15.75    inference(forward_subsumption_resolution,[status(thm)],[f5138,f141])).
% 121.50/15.75  fof(f5142,plain,(
% 121.50/15.75    spl0_434),
% 121.50/15.75    inference(contradiction_clause,[status(thm)],[f5141])).
% 121.50/15.75  fof(f5492,plain,(
% 121.50/15.75    xq=sdtsldt0(xm,xl)|~spl0_14),
% 121.50/15.75    inference(backward_demodulation,[status(thm)],[f327,f146])).
% 121.50/15.75  fof(f5493,plain,(
% 121.50/15.75    xq=xp|~spl0_14),
% 121.50/15.75    inference(forward_demodulation,[status(thm)],[f145,f5492])).
% 121.50/15.75  fof(f9249,plain,(
% 121.50/15.75    spl0_832 <=> aNaturalNumber0(xl)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f9251,plain,(
% 121.50/15.75    ~aNaturalNumber0(xl)|spl0_832),
% 121.50/15.75    inference(component_clause,[status(thm)],[f9249])).
% 121.50/15.75  fof(f9252,plain,(
% 121.50/15.75    spl0_833 <=> xl=sz00),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f9253,plain,(
% 121.50/15.75    xl=sz00|~spl0_833),
% 121.50/15.75    inference(component_clause,[status(thm)],[f9252])).
% 121.50/15.75  fof(f9255,plain,(
% 121.50/15.75    spl0_834 <=> doDivides0(xl,sdtpldt0(xm,xn))),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f9257,plain,(
% 121.50/15.75    ~doDivides0(xl,sdtpldt0(xm,xn))|spl0_834),
% 121.50/15.75    inference(component_clause,[status(thm)],[f9255])).
% 121.50/15.75  fof(f9258,plain,(
% 121.50/15.75    ~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))|xl=sz00|~doDivides0(xl,sdtpldt0(xm,xn))|aNaturalNumber0(xq)),
% 121.50/15.75    inference(resolution,[status(thm)],[f132,f146])).
% 121.50/15.75  fof(f9259,plain,(
% 121.50/15.75    ~spl0_832|~spl0_10|spl0_833|~spl0_834|spl0_0),
% 121.50/15.75    inference(split_clause,[status(thm)],[f9258,f9249,f310,f9252,f9255,f151])).
% 121.50/15.75  fof(f9266,plain,(
% 121.50/15.75    spl0_835 <=> doDivides0(xl,xm)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f9268,plain,(
% 121.50/15.75    ~doDivides0(xl,xm)|spl0_835),
% 121.50/15.75    inference(component_clause,[status(thm)],[f9266])).
% 121.50/15.75  fof(f9269,plain,(
% 121.50/15.75    ~aNaturalNumber0(xl)|~aNaturalNumber0(xm)|xl=sz00|~doDivides0(xl,xm)|aNaturalNumber0(xp)),
% 121.50/15.75    inference(resolution,[status(thm)],[f132,f145])).
% 121.50/15.75  fof(f9270,plain,(
% 121.50/15.75    ~spl0_832|~spl0_11|spl0_833|~spl0_835|spl0_1),
% 121.50/15.75    inference(split_clause,[status(thm)],[f9269,f9249,f313,f9252,f9266,f154])).
% 121.50/15.75  fof(f9285,plain,(
% 121.50/15.75    $false|spl0_835),
% 121.50/15.75    inference(forward_subsumption_resolution,[status(thm)],[f9268,f142])).
% 121.50/15.75  fof(f9286,plain,(
% 121.50/15.75    spl0_835),
% 121.50/15.75    inference(contradiction_clause,[status(thm)],[f9285])).
% 121.50/15.75  fof(f9287,plain,(
% 121.50/15.75    $false|spl0_834),
% 121.50/15.75    inference(forward_subsumption_resolution,[status(thm)],[f9257,f143])).
% 121.50/15.75  fof(f9288,plain,(
% 121.50/15.75    spl0_834),
% 121.50/15.75    inference(contradiction_clause,[status(thm)],[f9287])).
% 121.50/15.75  fof(f9289,plain,(
% 121.50/15.75    $false|spl0_832),
% 121.50/15.75    inference(forward_subsumption_resolution,[status(thm)],[f9251,f139])).
% 121.50/15.75  fof(f9290,plain,(
% 121.50/15.75    spl0_832),
% 121.50/15.75    inference(contradiction_clause,[status(thm)],[f9289])).
% 121.50/15.75  fof(f9291,plain,(
% 121.50/15.75    $false|~spl0_833),
% 121.50/15.75    inference(forward_subsumption_resolution,[status(thm)],[f9253,f144])).
% 121.50/15.75  fof(f9292,plain,(
% 121.50/15.75    ~spl0_833),
% 121.50/15.75    inference(contradiction_clause,[status(thm)],[f9291])).
% 121.50/15.75  fof(f9362,plain,(
% 121.50/15.75    spl0_845 <=> xq=xp),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f9461,plain,(
% 121.50/15.75    spl0_860 <=> sdtlseqdt0(xp,xp)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f9463,plain,(
% 121.50/15.75    ~sdtlseqdt0(xp,xp)|spl0_860),
% 121.50/15.75    inference(component_clause,[status(thm)],[f9461])).
% 121.50/15.75  fof(f10865,plain,(
% 121.50/15.75    ~aNaturalNumber0(xp)|~aNaturalNumber0(xp)|sdtlseqdt0(xp,xp)|spl0_860),
% 121.50/15.75    inference(resolution,[status(thm)],[f9463,f103])).
% 121.50/15.75  fof(f10866,plain,(
% 121.50/15.75    ~spl0_1|spl0_860),
% 121.50/15.75    inference(split_clause,[status(thm)],[f10865,f154,f9461])).
% 121.50/15.75  fof(f12026,plain,(
% 121.50/15.75    spl0_1082 <=> sdtpldt0(xm,xn)=sdtasdt0(xl,xq)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f12027,plain,(
% 121.50/15.75    sdtpldt0(xm,xn)=sdtasdt0(xl,xq)|~spl0_1082),
% 121.50/15.75    inference(component_clause,[status(thm)],[f12026])).
% 121.50/15.75  fof(f12029,plain,(
% 121.50/15.75    ~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))|xl=sz00|~doDivides0(xl,sdtpldt0(xm,xn))|sdtpldt0(xm,xn)=sdtasdt0(xl,xq)),
% 121.50/15.75    inference(resolution,[status(thm)],[f133,f146])).
% 121.50/15.75  fof(f12030,plain,(
% 121.50/15.75    ~spl0_832|~spl0_10|spl0_833|~spl0_834|spl0_1082),
% 121.50/15.75    inference(split_clause,[status(thm)],[f12029,f9249,f310,f9252,f9255,f12026])).
% 121.50/15.75  fof(f12035,plain,(
% 121.50/15.75    spl0_1083 <=> xm=sdtasdt0(xl,xp)),
% 121.50/15.75    introduced(split_symbol_definition)).
% 121.50/15.75  fof(f12036,plain,(
% 121.50/15.75    xm=sdtasdt0(xl,xp)|~spl0_1083),
% 121.50/15.75    inference(component_clause,[status(thm)],[f12035])).
% 122.10/15.78  fof(f12038,plain,(
% 122.10/15.78    ~aNaturalNumber0(xl)|~aNaturalNumber0(xm)|xl=sz00|~doDivides0(xl,xm)|xm=sdtasdt0(xl,xp)),
% 122.10/15.78    inference(resolution,[status(thm)],[f133,f145])).
% 122.10/15.78  fof(f12039,plain,(
% 122.10/15.78    ~spl0_832|~spl0_11|spl0_833|~spl0_835|spl0_1083),
% 122.10/15.78    inference(split_clause,[status(thm)],[f12038,f9249,f313,f9252,f9266,f12035])).
% 122.10/15.78  fof(f12043,plain,(
% 122.10/15.78    spl0_1084 <=> ~X0=xq|sdtpldt0(xm,xn)=sdtasdt0(xl,X0)),
% 122.10/15.78    introduced(split_symbol_definition)).
% 122.10/15.78  fof(f12044,plain,(
% 122.10/15.78    ![X0]: (~X0=xq|sdtpldt0(xm,xn)=sdtasdt0(xl,X0)|~spl0_1084)),
% 122.10/15.78    inference(component_clause,[status(thm)],[f12043])).
% 122.10/15.78  fof(f12046,plain,(
% 122.10/15.78    ![X0]: (~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))|xl=sz00|~doDivides0(xl,sdtpldt0(xm,xn))|~X0=xq|sdtpldt0(xm,xn)=sdtasdt0(xl,X0))),
% 122.10/15.78    inference(paramodulation,[status(thm)],[f146,f133])).
% 122.10/15.78  fof(f12047,plain,(
% 122.10/15.78    ~spl0_832|~spl0_10|spl0_833|~spl0_834|spl0_1084),
% 122.10/15.78    inference(split_clause,[status(thm)],[f12046,f9249,f310,f9252,f9255,f12043])).
% 122.10/15.78  fof(f14552,plain,(
% 122.10/15.78    ~xp=xq|sdtpldt0(xm,xn)=xm|~spl0_1084|~spl0_1083),
% 122.10/15.78    inference(paramodulation,[status(thm)],[f12036,f12044])).
% 122.10/15.78  fof(f14553,plain,(
% 122.10/15.78    ~spl0_845|spl0_14|~spl0_1084|~spl0_1083),
% 122.10/15.78    inference(split_clause,[status(thm)],[f14552,f9362,f326,f12043,f12035])).
% 122.10/15.78  fof(f14612,plain,(
% 122.10/15.78    spl0_1294 <=> ~aNaturalNumber0(X0)|X0=xp|~sdtlseqdt0(X0,xp)|sdtlseqdt0(sdtasdt0(xl,X0),xm)),
% 122.10/15.78    introduced(split_symbol_definition)).
% 122.10/15.78  fof(f14613,plain,(
% 122.10/15.78    ![X0]: (~aNaturalNumber0(X0)|X0=xp|~sdtlseqdt0(X0,xp)|sdtlseqdt0(sdtasdt0(xl,X0),xm)|~spl0_1294)),
% 122.10/15.78    inference(component_clause,[status(thm)],[f14612])).
% 122.10/15.78  fof(f14615,plain,(
% 122.10/15.78    ![X0]: (~aNaturalNumber0(xl)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|xl=sz00|X0=xp|~sdtlseqdt0(X0,xp)|sdtlseqdt0(sdtasdt0(xl,X0),xm)|~spl0_1083)),
% 122.10/15.78    inference(paramodulation,[status(thm)],[f12036,f111])).
% 122.10/15.78  fof(f14616,plain,(
% 122.10/15.78    ~spl0_832|spl0_1294|~spl0_1|spl0_833|~spl0_1083),
% 122.10/15.78    inference(split_clause,[status(thm)],[f14615,f9249,f14612,f154,f9252,f12035])).
% 122.10/15.78  fof(f21004,plain,(
% 122.10/15.78    ~aNaturalNumber0(xq)|xq=xp|~sdtlseqdt0(xq,xp)|sdtlseqdt0(sdtpldt0(xm,xn),xm)|~spl0_1294|~spl0_1082),
% 122.10/15.78    inference(paramodulation,[status(thm)],[f12027,f14613])).
% 122.10/15.78  fof(f21005,plain,(
% 122.10/15.78    ~spl0_0|spl0_845|~spl0_2|spl0_17|~spl0_1294|~spl0_1082),
% 122.10/15.78    inference(split_clause,[status(thm)],[f21004,f151,f9362,f157,f341,f14612,f12026])).
% 122.10/15.78  fof(f21312,plain,(
% 122.10/15.78    ~sdtlseqdt0(xp,xp)|~spl0_14),
% 122.10/15.78    inference(backward_demodulation,[status(thm)],[f5493,f148])).
% 122.10/15.78  fof(f21313,plain,(
% 122.10/15.78    ~spl0_860|~spl0_14),
% 122.10/15.78    inference(split_clause,[status(thm)],[f21312,f9461,f326])).
% 122.10/15.78  fof(f21314,plain,(
% 122.10/15.78    $false),
% 122.10/15.78    inference(sat_refutation,[status(thm)],[f161,f345,f2505,f5140,f5142,f9259,f9270,f9286,f9288,f9290,f9292,f10866,f12030,f12039,f12047,f14553,f14616,f21005,f21313])).
% 122.10/15.78  % SZS output end CNFRefutation for theBenchmark.p
% 122.10/15.81  % Elapsed time: 15.491098 seconds
% 122.10/15.81  % CPU time: 122.349850 seconds
% 122.10/15.81  % Memory used: 326.594 MB
%------------------------------------------------------------------------------