TSTP Solution File: NUM440+6 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 : Tue Apr 30 20:34:41 EDT 2024

% Result   : Theorem 0.11s 0.31s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n007.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Mon Apr 29 20:41:47 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.07/0.28  % Drodi V3.6.0
% 0.11/0.31  % Refutation found
% 0.11/0.31  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.31  % SZS output start CNFRefutation for theBenchmark
% 0.11/0.31  fof(f40,conjecture,(
% 0.11/0.31    ( ( ( aSet0(stldt0(xA))& (! [W0] :( aElementOf0(W0,stldt0(xA))<=> ( aInteger0(W0)& ~ aElementOf0(W0,xA) ) ) ))=> ( ( aSet0(cS1395)& (! [W0] :( aElementOf0(W0,cS1395)<=> aInteger0(W0) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(xA))=> aElementOf0(W0,cS1395) ))| aSubsetOf0(stldt0(xA),cS1395) ) ) )& ( ( aSet0(stldt0(xB))& (! [W0] :( aElementOf0(W0,stldt0(xB))<=> ( aInteger0(W0)& ~ aElementOf0(W0,xB) ) ) ))=> ( ( aSet0(cS1395)& (! [W0] :( aElementOf0(W0,cS1395)<=> aInteger0(W0) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(xB))=> aElementOf0(W0,cS1395) ))| aSubsetOf0(stldt0(xB),cS1395) ) ) )& ( ( aSet0(sdtbsmnsldt0(xA,xB))& (! [W0] :( aElementOf0(W0,sdtbsmnsldt0(xA,xB))<=> ( aInteger0(W0)& ( aElementOf0(W0,xA)| aElementOf0(W0,xB) ) ) ) ))=> ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))& (! [W0] :( aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))<=> ( aInteger0(W0)& ~ aElementOf0(W0,sdtbsmnsldt0(xA,xB)) ) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(xA))<=> ( aInteger0(W0)& ~ aElementOf0(W0,xA) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(xB))<=> ( aInteger0(W0)& ~ aElementOf0(W0,xB) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))<=> ( aInteger0(W0)& aElementOf0(W0,stldt0(xA))& aElementOf0(W0,stldt0(xB)) ) ))| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ) ),
% 0.11/0.31    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.31  fof(f41,negated_conjecture,(
% 0.11/0.31    ~(( ( ( aSet0(stldt0(xA))& (! [W0] :( aElementOf0(W0,stldt0(xA))<=> ( aInteger0(W0)& ~ aElementOf0(W0,xA) ) ) ))=> ( ( aSet0(cS1395)& (! [W0] :( aElementOf0(W0,cS1395)<=> aInteger0(W0) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(xA))=> aElementOf0(W0,cS1395) ))| aSubsetOf0(stldt0(xA),cS1395) ) ) )& ( ( aSet0(stldt0(xB))& (! [W0] :( aElementOf0(W0,stldt0(xB))<=> ( aInteger0(W0)& ~ aElementOf0(W0,xB) ) ) ))=> ( ( aSet0(cS1395)& (! [W0] :( aElementOf0(W0,cS1395)<=> aInteger0(W0) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(xB))=> aElementOf0(W0,cS1395) ))| aSubsetOf0(stldt0(xB),cS1395) ) ) )& ( ( aSet0(sdtbsmnsldt0(xA,xB))& (! [W0] :( aElementOf0(W0,sdtbsmnsldt0(xA,xB))<=> ( aInteger0(W0)& ( aElementOf0(W0,xA)| aElementOf0(W0,xB) ) ) ) ))=> ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))& (! [W0] :( aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))<=> ( aInteger0(W0)& ~ aElementOf0(W0,sdtbsmnsldt0(xA,xB)) ) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(xA))<=> ( aInteger0(W0)& ~ aElementOf0(W0,xA) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(xB))<=> ( aInteger0(W0)& ~ aElementOf0(W0,xB) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))<=> ( aInteger0(W0)& aElementOf0(W0,stldt0(xA))& aElementOf0(W0,stldt0(xB)) ) ))| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ) )),
% 0.11/0.31    inference(negated_conjecture,[status(cth)],[f40])).
% 0.11/0.31  fof(f261,plain,(
% 0.11/0.31    ((((aSet0(stldt0(xA))&(![W0]: (aElementOf0(W0,stldt0(xA))<=>(aInteger0(W0)&~aElementOf0(W0,xA)))))&((aSet0(cS1395)&(![W0]: (aElementOf0(W0,cS1395)<=>aInteger0(W0))))&((?[W0]: (aElementOf0(W0,stldt0(xA))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xA),cS1395))))|((aSet0(stldt0(xB))&(![W0]: (aElementOf0(W0,stldt0(xB))<=>(aInteger0(W0)&~aElementOf0(W0,xB)))))&((aSet0(cS1395)&(![W0]: (aElementOf0(W0,cS1395)<=>aInteger0(W0))))&((?[W0]: (aElementOf0(W0,stldt0(xB))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xB),cS1395)))))|((aSet0(sdtbsmnsldt0(xA,xB))&(![W0]: (aElementOf0(W0,sdtbsmnsldt0(xA,xB))<=>(aInteger0(W0)&(aElementOf0(W0,xA)|aElementOf0(W0,xB))))))&((aSet0(stldt0(sdtbsmnsldt0(xA,xB)))&(![W0]: (aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))<=>(aInteger0(W0)&~aElementOf0(W0,sdtbsmnsldt0(xA,xB))))))&((![W0]: (aElementOf0(W0,stldt0(xA))<=>(aInteger0(W0)&~aElementOf0(W0,xA))))&((![W0]: (aElementOf0(W0,stldt0(xB))<=>(aInteger0(W0)&~aElementOf0(W0,xB))))&((?[W0]: (aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))<~>((aInteger0(W0)&aElementOf0(W0,stldt0(xA)))&aElementOf0(W0,stldt0(xB)))))&~stldt0(sdtbsmnsldt0(xA,xB))=sdtslmnbsdt0(stldt0(xA),stldt0(xB))))))))),
% 0.11/0.31    inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.11/0.32  fof(f262,plain,(
% 0.11/0.32    pd0_2=>(((aSet0(stldt0(xA))&(![W0]: (aElementOf0(W0,stldt0(xA))<=>(aInteger0(W0)&~aElementOf0(W0,xA)))))&((aSet0(cS1395)&(![W0]: (aElementOf0(W0,cS1395)<=>aInteger0(W0))))&((?[W0]: (aElementOf0(W0,stldt0(xA))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xA),cS1395))))|((aSet0(stldt0(xB))&(![W0]: (aElementOf0(W0,stldt0(xB))<=>(aInteger0(W0)&~aElementOf0(W0,xB)))))&((aSet0(cS1395)&(![W0]: (aElementOf0(W0,cS1395)<=>aInteger0(W0))))&((?[W0]: (aElementOf0(W0,stldt0(xB))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xB),cS1395)))))),
% 0.11/0.32    introduced(predicate_definition,[f261])).
% 0.11/0.32  fof(f263,plain,(
% 0.11/0.32    pd0_2|((aSet0(sdtbsmnsldt0(xA,xB))&(![W0]: (aElementOf0(W0,sdtbsmnsldt0(xA,xB))<=>(aInteger0(W0)&(aElementOf0(W0,xA)|aElementOf0(W0,xB))))))&((aSet0(stldt0(sdtbsmnsldt0(xA,xB)))&(![W0]: (aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))<=>(aInteger0(W0)&~aElementOf0(W0,sdtbsmnsldt0(xA,xB))))))&((![W0]: (aElementOf0(W0,stldt0(xA))<=>(aInteger0(W0)&~aElementOf0(W0,xA))))&((![W0]: (aElementOf0(W0,stldt0(xB))<=>(aInteger0(W0)&~aElementOf0(W0,xB))))&((?[W0]: (aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))<~>((aInteger0(W0)&aElementOf0(W0,stldt0(xA)))&aElementOf0(W0,stldt0(xB)))))&~stldt0(sdtbsmnsldt0(xA,xB))=sdtslmnbsdt0(stldt0(xA),stldt0(xB)))))))),
% 0.11/0.32    inference(formula_renaming,[status(thm)],[f261,f262])).
% 0.11/0.32  fof(f264,plain,(
% 0.11/0.32    pd0_2|((aSet0(sdtbsmnsldt0(xA,xB))&(![W0]: ((~aElementOf0(W0,sdtbsmnsldt0(xA,xB))|(aInteger0(W0)&(aElementOf0(W0,xA)|aElementOf0(W0,xB))))&(aElementOf0(W0,sdtbsmnsldt0(xA,xB))|(~aInteger0(W0)|(~aElementOf0(W0,xA)&~aElementOf0(W0,xB)))))))&((aSet0(stldt0(sdtbsmnsldt0(xA,xB)))&(![W0]: ((~aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|(aInteger0(W0)&~aElementOf0(W0,sdtbsmnsldt0(xA,xB))))&(aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|(~aInteger0(W0)|aElementOf0(W0,sdtbsmnsldt0(xA,xB)))))))&((![W0]: ((~aElementOf0(W0,stldt0(xA))|(aInteger0(W0)&~aElementOf0(W0,xA)))&(aElementOf0(W0,stldt0(xA))|(~aInteger0(W0)|aElementOf0(W0,xA)))))&((![W0]: ((~aElementOf0(W0,stldt0(xB))|(aInteger0(W0)&~aElementOf0(W0,xB)))&(aElementOf0(W0,stldt0(xB))|(~aInteger0(W0)|aElementOf0(W0,xB)))))&((?[W0]: ((aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|((aInteger0(W0)&aElementOf0(W0,stldt0(xA)))&aElementOf0(W0,stldt0(xB))))&(~aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|((~aInteger0(W0)|~aElementOf0(W0,stldt0(xA)))|~aElementOf0(W0,stldt0(xB))))))&~stldt0(sdtbsmnsldt0(xA,xB))=sdtslmnbsdt0(stldt0(xA),stldt0(xB)))))))),
% 0.11/0.32    inference(NNF_transformation,[status(esa)],[f263])).
% 0.11/0.32  fof(f265,plain,(
% 0.11/0.32    pd0_2|((aSet0(sdtbsmnsldt0(xA,xB))&((![W0]: (~aElementOf0(W0,sdtbsmnsldt0(xA,xB))|(aInteger0(W0)&(aElementOf0(W0,xA)|aElementOf0(W0,xB)))))&(![W0]: (aElementOf0(W0,sdtbsmnsldt0(xA,xB))|(~aInteger0(W0)|(~aElementOf0(W0,xA)&~aElementOf0(W0,xB)))))))&((aSet0(stldt0(sdtbsmnsldt0(xA,xB)))&((![W0]: (~aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|(aInteger0(W0)&~aElementOf0(W0,sdtbsmnsldt0(xA,xB)))))&(![W0]: (aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|(~aInteger0(W0)|aElementOf0(W0,sdtbsmnsldt0(xA,xB)))))))&(((![W0]: (~aElementOf0(W0,stldt0(xA))|(aInteger0(W0)&~aElementOf0(W0,xA))))&(![W0]: (aElementOf0(W0,stldt0(xA))|(~aInteger0(W0)|aElementOf0(W0,xA)))))&(((![W0]: (~aElementOf0(W0,stldt0(xB))|(aInteger0(W0)&~aElementOf0(W0,xB))))&(![W0]: (aElementOf0(W0,stldt0(xB))|(~aInteger0(W0)|aElementOf0(W0,xB)))))&((?[W0]: ((aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|((aInteger0(W0)&aElementOf0(W0,stldt0(xA)))&aElementOf0(W0,stldt0(xB))))&(~aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|((~aInteger0(W0)|~aElementOf0(W0,stldt0(xA)))|~aElementOf0(W0,stldt0(xB))))))&~stldt0(sdtbsmnsldt0(xA,xB))=sdtslmnbsdt0(stldt0(xA),stldt0(xB)))))))),
% 0.11/0.32    inference(miniscoping,[status(esa)],[f264])).
% 0.11/0.32  fof(f266,plain,(
% 0.11/0.32    pd0_2|((aSet0(sdtbsmnsldt0(xA,xB))&((![W0]: (~aElementOf0(W0,sdtbsmnsldt0(xA,xB))|(aInteger0(W0)&(aElementOf0(W0,xA)|aElementOf0(W0,xB)))))&(![W0]: (aElementOf0(W0,sdtbsmnsldt0(xA,xB))|(~aInteger0(W0)|(~aElementOf0(W0,xA)&~aElementOf0(W0,xB)))))))&((aSet0(stldt0(sdtbsmnsldt0(xA,xB)))&((![W0]: (~aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|(aInteger0(W0)&~aElementOf0(W0,sdtbsmnsldt0(xA,xB)))))&(![W0]: (aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))|(~aInteger0(W0)|aElementOf0(W0,sdtbsmnsldt0(xA,xB)))))))&(((![W0]: (~aElementOf0(W0,stldt0(xA))|(aInteger0(W0)&~aElementOf0(W0,xA))))&(![W0]: (aElementOf0(W0,stldt0(xA))|(~aInteger0(W0)|aElementOf0(W0,xA)))))&(((![W0]: (~aElementOf0(W0,stldt0(xB))|(aInteger0(W0)&~aElementOf0(W0,xB))))&(![W0]: (aElementOf0(W0,stldt0(xB))|(~aInteger0(W0)|aElementOf0(W0,xB)))))&(((aElementOf0(sk0_18,stldt0(sdtbsmnsldt0(xA,xB)))|((aInteger0(sk0_18)&aElementOf0(sk0_18,stldt0(xA)))&aElementOf0(sk0_18,stldt0(xB))))&(~aElementOf0(sk0_18,stldt0(sdtbsmnsldt0(xA,xB)))|((~aInteger0(sk0_18)|~aElementOf0(sk0_18,stldt0(xA)))|~aElementOf0(sk0_18,stldt0(xB)))))&~stldt0(sdtbsmnsldt0(xA,xB))=sdtslmnbsdt0(stldt0(xA),stldt0(xB)))))))),
% 0.11/0.32    inference(skolemization,[status(esa)],[f265])).
% 0.11/0.32  fof(f267,plain,(
% 0.11/0.32    pd0_2|aSet0(sdtbsmnsldt0(xA,xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f268,plain,(
% 0.11/0.32    ![X0]: (pd0_2|~aElementOf0(X0,sdtbsmnsldt0(xA,xB))|aInteger0(X0))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f269,plain,(
% 0.11/0.32    ![X0]: (pd0_2|~aElementOf0(X0,sdtbsmnsldt0(xA,xB))|aElementOf0(X0,xA)|aElementOf0(X0,xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f270,plain,(
% 0.11/0.32    ![X0]: (pd0_2|aElementOf0(X0,sdtbsmnsldt0(xA,xB))|~aInteger0(X0)|~aElementOf0(X0,xA))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f271,plain,(
% 0.11/0.32    ![X0]: (pd0_2|aElementOf0(X0,sdtbsmnsldt0(xA,xB))|~aInteger0(X0)|~aElementOf0(X0,xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f272,plain,(
% 0.11/0.32    pd0_2|aSet0(stldt0(sdtbsmnsldt0(xA,xB)))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f273,plain,(
% 0.11/0.32    ![X0]: (pd0_2|~aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))|aInteger0(X0))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f274,plain,(
% 0.11/0.32    ![X0]: (pd0_2|~aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))|~aElementOf0(X0,sdtbsmnsldt0(xA,xB)))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f275,plain,(
% 0.11/0.32    ![X0]: (pd0_2|aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))|~aInteger0(X0)|aElementOf0(X0,sdtbsmnsldt0(xA,xB)))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f276,plain,(
% 0.11/0.32    ![X0]: (pd0_2|~aElementOf0(X0,stldt0(xA))|aInteger0(X0))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f277,plain,(
% 0.11/0.32    ![X0]: (pd0_2|~aElementOf0(X0,stldt0(xA))|~aElementOf0(X0,xA))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f278,plain,(
% 0.11/0.32    ![X0]: (pd0_2|aElementOf0(X0,stldt0(xA))|~aInteger0(X0)|aElementOf0(X0,xA))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f279,plain,(
% 0.11/0.32    ![X0]: (pd0_2|~aElementOf0(X0,stldt0(xB))|aInteger0(X0))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f280,plain,(
% 0.11/0.32    ![X0]: (pd0_2|~aElementOf0(X0,stldt0(xB))|~aElementOf0(X0,xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f281,plain,(
% 0.11/0.32    ![X0]: (pd0_2|aElementOf0(X0,stldt0(xB))|~aInteger0(X0)|aElementOf0(X0,xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f283,plain,(
% 0.11/0.32    pd0_2|aElementOf0(sk0_18,stldt0(sdtbsmnsldt0(xA,xB)))|aElementOf0(sk0_18,stldt0(xA))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f284,plain,(
% 0.11/0.32    pd0_2|aElementOf0(sk0_18,stldt0(sdtbsmnsldt0(xA,xB)))|aElementOf0(sk0_18,stldt0(xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f285,plain,(
% 0.11/0.32    pd0_2|~aElementOf0(sk0_18,stldt0(sdtbsmnsldt0(xA,xB)))|~aInteger0(sk0_18)|~aElementOf0(sk0_18,stldt0(xA))|~aElementOf0(sk0_18,stldt0(xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f286,plain,(
% 0.11/0.32    pd0_2|~stldt0(sdtbsmnsldt0(xA,xB))=sdtslmnbsdt0(stldt0(xA),stldt0(xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f266])).
% 0.11/0.32  fof(f296,plain,(
% 0.11/0.32    ~pd0_2|(((aSet0(stldt0(xA))&(![W0]: (aElementOf0(W0,stldt0(xA))<=>(aInteger0(W0)&~aElementOf0(W0,xA)))))&((aSet0(cS1395)&(![W0]: (aElementOf0(W0,cS1395)<=>aInteger0(W0))))&((?[W0]: (aElementOf0(W0,stldt0(xA))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xA),cS1395))))|((aSet0(stldt0(xB))&(![W0]: (aElementOf0(W0,stldt0(xB))<=>(aInteger0(W0)&~aElementOf0(W0,xB)))))&((aSet0(cS1395)&(![W0]: (aElementOf0(W0,cS1395)<=>aInteger0(W0))))&((?[W0]: (aElementOf0(W0,stldt0(xB))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xB),cS1395)))))),
% 0.11/0.32    inference(pre_NNF_transformation,[status(esa)],[f262])).
% 0.11/0.32  fof(f297,plain,(
% 0.11/0.32    pd0_3=>((aSet0(stldt0(xA))&(![W0]: (aElementOf0(W0,stldt0(xA))<=>(aInteger0(W0)&~aElementOf0(W0,xA)))))&((aSet0(cS1395)&(![W0]: (aElementOf0(W0,cS1395)<=>aInteger0(W0))))&((?[W0]: (aElementOf0(W0,stldt0(xA))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xA),cS1395))))),
% 0.11/0.32    introduced(predicate_definition,[f296])).
% 0.11/0.32  fof(f298,plain,(
% 0.11/0.32    ~pd0_2|(pd0_3|((aSet0(stldt0(xB))&(![W0]: (aElementOf0(W0,stldt0(xB))<=>(aInteger0(W0)&~aElementOf0(W0,xB)))))&((aSet0(cS1395)&(![W0]: (aElementOf0(W0,cS1395)<=>aInteger0(W0))))&((?[W0]: (aElementOf0(W0,stldt0(xB))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xB),cS1395)))))),
% 0.11/0.32    inference(formula_renaming,[status(thm)],[f296,f297])).
% 0.11/0.32  fof(f299,plain,(
% 0.11/0.32    ~pd0_2|(pd0_3|((aSet0(stldt0(xB))&(![W0]: ((~aElementOf0(W0,stldt0(xB))|(aInteger0(W0)&~aElementOf0(W0,xB)))&(aElementOf0(W0,stldt0(xB))|(~aInteger0(W0)|aElementOf0(W0,xB))))))&((aSet0(cS1395)&(![W0]: ((~aElementOf0(W0,cS1395)|aInteger0(W0))&(aElementOf0(W0,cS1395)|~aInteger0(W0)))))&((?[W0]: (aElementOf0(W0,stldt0(xB))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xB),cS1395)))))),
% 0.11/0.32    inference(NNF_transformation,[status(esa)],[f298])).
% 0.11/0.32  fof(f300,plain,(
% 0.11/0.32    ~pd0_2|(pd0_3|((aSet0(stldt0(xB))&((![W0]: (~aElementOf0(W0,stldt0(xB))|(aInteger0(W0)&~aElementOf0(W0,xB))))&(![W0]: (aElementOf0(W0,stldt0(xB))|(~aInteger0(W0)|aElementOf0(W0,xB))))))&((aSet0(cS1395)&((![W0]: (~aElementOf0(W0,cS1395)|aInteger0(W0)))&(![W0]: (aElementOf0(W0,cS1395)|~aInteger0(W0)))))&((?[W0]: (aElementOf0(W0,stldt0(xB))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xB),cS1395)))))),
% 0.11/0.32    inference(miniscoping,[status(esa)],[f299])).
% 0.11/0.32  fof(f301,plain,(
% 0.11/0.32    ~pd0_2|(pd0_3|((aSet0(stldt0(xB))&((![W0]: (~aElementOf0(W0,stldt0(xB))|(aInteger0(W0)&~aElementOf0(W0,xB))))&(![W0]: (aElementOf0(W0,stldt0(xB))|(~aInteger0(W0)|aElementOf0(W0,xB))))))&((aSet0(cS1395)&((![W0]: (~aElementOf0(W0,cS1395)|aInteger0(W0)))&(![W0]: (aElementOf0(W0,cS1395)|~aInteger0(W0)))))&((aElementOf0(sk0_19,stldt0(xB))&~aElementOf0(sk0_19,cS1395))&~aSubsetOf0(stldt0(xB),cS1395)))))),
% 0.11/0.32    inference(skolemization,[status(esa)],[f300])).
% 0.11/0.32  fof(f302,plain,(
% 0.11/0.32    ~pd0_2|pd0_3|aSet0(stldt0(xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f301])).
% 0.11/0.32  fof(f303,plain,(
% 0.11/0.32    ![X0]: (~pd0_2|pd0_3|~aElementOf0(X0,stldt0(xB))|aInteger0(X0))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f301])).
% 0.11/0.32  fof(f304,plain,(
% 0.11/0.32    ![X0]: (~pd0_2|pd0_3|~aElementOf0(X0,stldt0(xB))|~aElementOf0(X0,xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f301])).
% 0.11/0.32  fof(f308,plain,(
% 0.11/0.32    ![X0]: (~pd0_2|pd0_3|aElementOf0(X0,cS1395)|~aInteger0(X0))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f301])).
% 0.11/0.32  fof(f309,plain,(
% 0.11/0.32    ~pd0_2|pd0_3|aElementOf0(sk0_19,stldt0(xB))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f301])).
% 0.11/0.32  fof(f310,plain,(
% 0.11/0.32    ~pd0_2|pd0_3|~aElementOf0(sk0_19,cS1395)),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f301])).
% 0.11/0.32  fof(f312,plain,(
% 0.11/0.32    ~pd0_3|((aSet0(stldt0(xA))&(![W0]: (aElementOf0(W0,stldt0(xA))<=>(aInteger0(W0)&~aElementOf0(W0,xA)))))&((aSet0(cS1395)&(![W0]: (aElementOf0(W0,cS1395)<=>aInteger0(W0))))&((?[W0]: (aElementOf0(W0,stldt0(xA))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xA),cS1395))))),
% 0.11/0.32    inference(pre_NNF_transformation,[status(esa)],[f297])).
% 0.11/0.32  fof(f313,plain,(
% 0.11/0.32    ~pd0_3|((aSet0(stldt0(xA))&(![W0]: ((~aElementOf0(W0,stldt0(xA))|(aInteger0(W0)&~aElementOf0(W0,xA)))&(aElementOf0(W0,stldt0(xA))|(~aInteger0(W0)|aElementOf0(W0,xA))))))&((aSet0(cS1395)&(![W0]: ((~aElementOf0(W0,cS1395)|aInteger0(W0))&(aElementOf0(W0,cS1395)|~aInteger0(W0)))))&((?[W0]: (aElementOf0(W0,stldt0(xA))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xA),cS1395))))),
% 0.11/0.32    inference(NNF_transformation,[status(esa)],[f312])).
% 0.11/0.32  fof(f314,plain,(
% 0.11/0.32    ~pd0_3|((aSet0(stldt0(xA))&((![W0]: (~aElementOf0(W0,stldt0(xA))|(aInteger0(W0)&~aElementOf0(W0,xA))))&(![W0]: (aElementOf0(W0,stldt0(xA))|(~aInteger0(W0)|aElementOf0(W0,xA))))))&((aSet0(cS1395)&((![W0]: (~aElementOf0(W0,cS1395)|aInteger0(W0)))&(![W0]: (aElementOf0(W0,cS1395)|~aInteger0(W0)))))&((?[W0]: (aElementOf0(W0,stldt0(xA))&~aElementOf0(W0,cS1395)))&~aSubsetOf0(stldt0(xA),cS1395))))),
% 0.11/0.32    inference(miniscoping,[status(esa)],[f313])).
% 0.11/0.32  fof(f315,plain,(
% 0.11/0.32    ~pd0_3|((aSet0(stldt0(xA))&((![W0]: (~aElementOf0(W0,stldt0(xA))|(aInteger0(W0)&~aElementOf0(W0,xA))))&(![W0]: (aElementOf0(W0,stldt0(xA))|(~aInteger0(W0)|aElementOf0(W0,xA))))))&((aSet0(cS1395)&((![W0]: (~aElementOf0(W0,cS1395)|aInteger0(W0)))&(![W0]: (aElementOf0(W0,cS1395)|~aInteger0(W0)))))&((aElementOf0(sk0_20,stldt0(xA))&~aElementOf0(sk0_20,cS1395))&~aSubsetOf0(stldt0(xA),cS1395))))),
% 0.11/0.32    inference(skolemization,[status(esa)],[f314])).
% 0.11/0.32  fof(f316,plain,(
% 0.11/0.32    ~pd0_3|aSet0(stldt0(xA))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f315])).
% 0.11/0.32  fof(f317,plain,(
% 0.11/0.32    ![X0]: (~pd0_3|~aElementOf0(X0,stldt0(xA))|aInteger0(X0))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f315])).
% 0.11/0.32  fof(f322,plain,(
% 0.11/0.32    ![X0]: (~pd0_3|aElementOf0(X0,cS1395)|~aInteger0(X0))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f315])).
% 0.11/0.32  fof(f323,plain,(
% 0.11/0.32    ~pd0_3|aElementOf0(sk0_20,stldt0(xA))),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f315])).
% 0.11/0.32  fof(f324,plain,(
% 0.11/0.32    ~pd0_3|~aElementOf0(sk0_20,cS1395)),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f315])).
% 0.11/0.32  fof(f325,plain,(
% 0.11/0.32    ~pd0_3|~aSubsetOf0(stldt0(xA),cS1395)),
% 0.11/0.32    inference(cnf_transformation,[status(esa)],[f315])).
% 0.11/0.32  fof(f326,plain,(
% 0.11/0.32    spl0_0 <=> pd0_2),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f329,plain,(
% 0.11/0.32    spl0_1 <=> aSet0(sdtbsmnsldt0(xA,xB))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f332,plain,(
% 0.11/0.32    spl0_0|spl0_1),
% 0.11/0.32    inference(split_clause,[status(thm)],[f267,f326,f329])).
% 0.11/0.32  fof(f333,plain,(
% 0.11/0.32    spl0_2 <=> ~aElementOf0(X0,sdtbsmnsldt0(xA,xB))|aInteger0(X0)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f336,plain,(
% 0.11/0.32    spl0_0|spl0_2),
% 0.11/0.32    inference(split_clause,[status(thm)],[f268,f326,f333])).
% 0.11/0.32  fof(f337,plain,(
% 0.11/0.32    spl0_3 <=> ~aElementOf0(X0,sdtbsmnsldt0(xA,xB))|aElementOf0(X0,xA)|aElementOf0(X0,xB)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f338,plain,(
% 0.11/0.32    ![X0]: (~aElementOf0(X0,sdtbsmnsldt0(xA,xB))|aElementOf0(X0,xA)|aElementOf0(X0,xB)|~spl0_3)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f337])).
% 0.11/0.32  fof(f340,plain,(
% 0.11/0.32    spl0_0|spl0_3),
% 0.11/0.32    inference(split_clause,[status(thm)],[f269,f326,f337])).
% 0.11/0.32  fof(f341,plain,(
% 0.11/0.32    spl0_4 <=> aElementOf0(X0,sdtbsmnsldt0(xA,xB))|~aInteger0(X0)|~aElementOf0(X0,xA)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f342,plain,(
% 0.11/0.32    ![X0]: (aElementOf0(X0,sdtbsmnsldt0(xA,xB))|~aInteger0(X0)|~aElementOf0(X0,xA)|~spl0_4)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f341])).
% 0.11/0.32  fof(f344,plain,(
% 0.11/0.32    spl0_0|spl0_4),
% 0.11/0.32    inference(split_clause,[status(thm)],[f270,f326,f341])).
% 0.11/0.32  fof(f345,plain,(
% 0.11/0.32    spl0_5 <=> aElementOf0(X0,sdtbsmnsldt0(xA,xB))|~aInteger0(X0)|~aElementOf0(X0,xB)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f346,plain,(
% 0.11/0.32    ![X0]: (aElementOf0(X0,sdtbsmnsldt0(xA,xB))|~aInteger0(X0)|~aElementOf0(X0,xB)|~spl0_5)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f345])).
% 0.11/0.32  fof(f348,plain,(
% 0.11/0.32    spl0_0|spl0_5),
% 0.11/0.32    inference(split_clause,[status(thm)],[f271,f326,f345])).
% 0.11/0.32  fof(f349,plain,(
% 0.11/0.32    spl0_6 <=> aSet0(stldt0(sdtbsmnsldt0(xA,xB)))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f352,plain,(
% 0.11/0.32    spl0_0|spl0_6),
% 0.11/0.32    inference(split_clause,[status(thm)],[f272,f326,f349])).
% 0.11/0.32  fof(f353,plain,(
% 0.11/0.32    spl0_7 <=> ~aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))|aInteger0(X0)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f354,plain,(
% 0.11/0.32    ![X0]: (~aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))|aInteger0(X0)|~spl0_7)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f353])).
% 0.11/0.32  fof(f356,plain,(
% 0.11/0.32    spl0_0|spl0_7),
% 0.11/0.32    inference(split_clause,[status(thm)],[f273,f326,f353])).
% 0.11/0.32  fof(f357,plain,(
% 0.11/0.32    spl0_8 <=> ~aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))|~aElementOf0(X0,sdtbsmnsldt0(xA,xB))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f358,plain,(
% 0.11/0.32    ![X0]: (~aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))|~aElementOf0(X0,sdtbsmnsldt0(xA,xB))|~spl0_8)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f357])).
% 0.11/0.32  fof(f360,plain,(
% 0.11/0.32    spl0_0|spl0_8),
% 0.11/0.32    inference(split_clause,[status(thm)],[f274,f326,f357])).
% 0.11/0.32  fof(f361,plain,(
% 0.11/0.32    spl0_9 <=> aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))|~aInteger0(X0)|aElementOf0(X0,sdtbsmnsldt0(xA,xB))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f362,plain,(
% 0.11/0.32    ![X0]: (aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))|~aInteger0(X0)|aElementOf0(X0,sdtbsmnsldt0(xA,xB))|~spl0_9)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f361])).
% 0.11/0.32  fof(f364,plain,(
% 0.11/0.32    spl0_0|spl0_9),
% 0.11/0.32    inference(split_clause,[status(thm)],[f275,f326,f361])).
% 0.11/0.32  fof(f365,plain,(
% 0.11/0.32    spl0_10 <=> ~aElementOf0(X0,stldt0(xA))|aInteger0(X0)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f366,plain,(
% 0.11/0.32    ![X0]: (~aElementOf0(X0,stldt0(xA))|aInteger0(X0)|~spl0_10)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f365])).
% 0.11/0.32  fof(f368,plain,(
% 0.11/0.32    spl0_0|spl0_10),
% 0.11/0.32    inference(split_clause,[status(thm)],[f276,f326,f365])).
% 0.11/0.32  fof(f369,plain,(
% 0.11/0.32    spl0_11 <=> ~aElementOf0(X0,stldt0(xA))|~aElementOf0(X0,xA)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f370,plain,(
% 0.11/0.32    ![X0]: (~aElementOf0(X0,stldt0(xA))|~aElementOf0(X0,xA)|~spl0_11)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f369])).
% 0.11/0.32  fof(f372,plain,(
% 0.11/0.32    spl0_0|spl0_11),
% 0.11/0.32    inference(split_clause,[status(thm)],[f277,f326,f369])).
% 0.11/0.32  fof(f373,plain,(
% 0.11/0.32    spl0_12 <=> aElementOf0(X0,stldt0(xA))|~aInteger0(X0)|aElementOf0(X0,xA)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f374,plain,(
% 0.11/0.32    ![X0]: (aElementOf0(X0,stldt0(xA))|~aInteger0(X0)|aElementOf0(X0,xA)|~spl0_12)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f373])).
% 0.11/0.32  fof(f376,plain,(
% 0.11/0.32    spl0_0|spl0_12),
% 0.11/0.32    inference(split_clause,[status(thm)],[f278,f326,f373])).
% 0.11/0.32  fof(f377,plain,(
% 0.11/0.32    spl0_13 <=> ~aElementOf0(X0,stldt0(xB))|aInteger0(X0)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f378,plain,(
% 0.11/0.32    ![X0]: (~aElementOf0(X0,stldt0(xB))|aInteger0(X0)|~spl0_13)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f377])).
% 0.11/0.32  fof(f380,plain,(
% 0.11/0.32    spl0_0|spl0_13),
% 0.11/0.32    inference(split_clause,[status(thm)],[f279,f326,f377])).
% 0.11/0.32  fof(f381,plain,(
% 0.11/0.32    spl0_14 <=> ~aElementOf0(X0,stldt0(xB))|~aElementOf0(X0,xB)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f382,plain,(
% 0.11/0.32    ![X0]: (~aElementOf0(X0,stldt0(xB))|~aElementOf0(X0,xB)|~spl0_14)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f381])).
% 0.11/0.32  fof(f384,plain,(
% 0.11/0.32    spl0_0|spl0_14),
% 0.11/0.32    inference(split_clause,[status(thm)],[f280,f326,f381])).
% 0.11/0.32  fof(f385,plain,(
% 0.11/0.32    spl0_15 <=> aElementOf0(X0,stldt0(xB))|~aInteger0(X0)|aElementOf0(X0,xB)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f386,plain,(
% 0.11/0.32    ![X0]: (aElementOf0(X0,stldt0(xB))|~aInteger0(X0)|aElementOf0(X0,xB)|~spl0_15)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f385])).
% 0.11/0.32  fof(f388,plain,(
% 0.11/0.32    spl0_0|spl0_15),
% 0.11/0.32    inference(split_clause,[status(thm)],[f281,f326,f385])).
% 0.11/0.32  fof(f389,plain,(
% 0.11/0.32    spl0_16 <=> aElementOf0(sk0_18,stldt0(sdtbsmnsldt0(xA,xB)))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f390,plain,(
% 0.11/0.32    aElementOf0(sk0_18,stldt0(sdtbsmnsldt0(xA,xB)))|~spl0_16),
% 0.11/0.32    inference(component_clause,[status(thm)],[f389])).
% 0.11/0.32  fof(f392,plain,(
% 0.11/0.32    spl0_17 <=> aInteger0(sk0_18)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f393,plain,(
% 0.11/0.32    aInteger0(sk0_18)|~spl0_17),
% 0.11/0.32    inference(component_clause,[status(thm)],[f392])).
% 0.11/0.32  fof(f394,plain,(
% 0.11/0.32    ~aInteger0(sk0_18)|spl0_17),
% 0.11/0.32    inference(component_clause,[status(thm)],[f392])).
% 0.11/0.32  fof(f396,plain,(
% 0.11/0.32    spl0_18 <=> aElementOf0(sk0_18,stldt0(xA))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f397,plain,(
% 0.11/0.32    aElementOf0(sk0_18,stldt0(xA))|~spl0_18),
% 0.11/0.32    inference(component_clause,[status(thm)],[f396])).
% 0.11/0.32  fof(f398,plain,(
% 0.11/0.32    ~aElementOf0(sk0_18,stldt0(xA))|spl0_18),
% 0.11/0.32    inference(component_clause,[status(thm)],[f396])).
% 0.11/0.32  fof(f399,plain,(
% 0.11/0.32    spl0_0|spl0_16|spl0_18),
% 0.11/0.32    inference(split_clause,[status(thm)],[f283,f326,f389,f396])).
% 0.11/0.32  fof(f400,plain,(
% 0.11/0.32    spl0_19 <=> aElementOf0(sk0_18,stldt0(xB))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f401,plain,(
% 0.11/0.32    aElementOf0(sk0_18,stldt0(xB))|~spl0_19),
% 0.11/0.32    inference(component_clause,[status(thm)],[f400])).
% 0.11/0.32  fof(f403,plain,(
% 0.11/0.32    spl0_0|spl0_16|spl0_19),
% 0.11/0.32    inference(split_clause,[status(thm)],[f284,f326,f389,f400])).
% 0.11/0.32  fof(f404,plain,(
% 0.11/0.32    spl0_0|~spl0_16|~spl0_17|~spl0_18|~spl0_19),
% 0.11/0.32    inference(split_clause,[status(thm)],[f285,f326,f389,f392,f396,f400])).
% 0.11/0.32  fof(f405,plain,(
% 0.11/0.32    spl0_20 <=> stldt0(sdtbsmnsldt0(xA,xB))=sdtslmnbsdt0(stldt0(xA),stldt0(xB))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f408,plain,(
% 0.11/0.32    spl0_0|~spl0_20),
% 0.11/0.32    inference(split_clause,[status(thm)],[f286,f326,f405])).
% 0.11/0.32  fof(f409,plain,(
% 0.11/0.32    spl0_21 <=> pd0_3),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f412,plain,(
% 0.11/0.32    spl0_22 <=> aSet0(stldt0(xB))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f415,plain,(
% 0.11/0.32    ~spl0_0|spl0_21|spl0_22),
% 0.11/0.32    inference(split_clause,[status(thm)],[f302,f326,f409,f412])).
% 0.11/0.32  fof(f416,plain,(
% 0.11/0.32    ~spl0_0|spl0_21|spl0_13),
% 0.11/0.32    inference(split_clause,[status(thm)],[f303,f326,f409,f377])).
% 0.11/0.32  fof(f417,plain,(
% 0.11/0.32    ~spl0_0|spl0_21|spl0_14),
% 0.11/0.32    inference(split_clause,[status(thm)],[f304,f326,f409,f381])).
% 0.11/0.32  fof(f427,plain,(
% 0.11/0.32    spl0_25 <=> aElementOf0(X0,cS1395)|~aInteger0(X0)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f428,plain,(
% 0.11/0.32    ![X0]: (aElementOf0(X0,cS1395)|~aInteger0(X0)|~spl0_25)),
% 0.11/0.32    inference(component_clause,[status(thm)],[f427])).
% 0.11/0.32  fof(f430,plain,(
% 0.11/0.32    ~spl0_0|spl0_21|spl0_25),
% 0.11/0.32    inference(split_clause,[status(thm)],[f308,f326,f409,f427])).
% 0.11/0.32  fof(f431,plain,(
% 0.11/0.32    spl0_26 <=> aElementOf0(sk0_19,stldt0(xB))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f432,plain,(
% 0.11/0.32    aElementOf0(sk0_19,stldt0(xB))|~spl0_26),
% 0.11/0.32    inference(component_clause,[status(thm)],[f431])).
% 0.11/0.32  fof(f434,plain,(
% 0.11/0.32    ~spl0_0|spl0_21|spl0_26),
% 0.11/0.32    inference(split_clause,[status(thm)],[f309,f326,f409,f431])).
% 0.11/0.32  fof(f435,plain,(
% 0.11/0.32    spl0_27 <=> aElementOf0(sk0_19,cS1395)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f437,plain,(
% 0.11/0.32    ~aElementOf0(sk0_19,cS1395)|spl0_27),
% 0.11/0.32    inference(component_clause,[status(thm)],[f435])).
% 0.11/0.32  fof(f438,plain,(
% 0.11/0.32    ~spl0_0|spl0_21|~spl0_27),
% 0.11/0.32    inference(split_clause,[status(thm)],[f310,f326,f409,f435])).
% 0.11/0.32  fof(f443,plain,(
% 0.11/0.32    spl0_29 <=> aSet0(stldt0(xA))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f446,plain,(
% 0.11/0.32    ~spl0_21|spl0_29),
% 0.11/0.32    inference(split_clause,[status(thm)],[f316,f409,f443])).
% 0.11/0.32  fof(f447,plain,(
% 0.11/0.32    ~spl0_21|spl0_10),
% 0.11/0.32    inference(split_clause,[status(thm)],[f317,f409,f365])).
% 0.11/0.32  fof(f452,plain,(
% 0.11/0.32    ~spl0_21|spl0_25),
% 0.11/0.32    inference(split_clause,[status(thm)],[f322,f409,f427])).
% 0.11/0.32  fof(f453,plain,(
% 0.11/0.32    spl0_30 <=> aElementOf0(sk0_20,stldt0(xA))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f454,plain,(
% 0.11/0.32    aElementOf0(sk0_20,stldt0(xA))|~spl0_30),
% 0.11/0.32    inference(component_clause,[status(thm)],[f453])).
% 0.11/0.32  fof(f456,plain,(
% 0.11/0.32    ~spl0_21|spl0_30),
% 0.11/0.32    inference(split_clause,[status(thm)],[f323,f409,f453])).
% 0.11/0.32  fof(f457,plain,(
% 0.11/0.32    spl0_31 <=> aElementOf0(sk0_20,cS1395)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f459,plain,(
% 0.11/0.32    ~aElementOf0(sk0_20,cS1395)|spl0_31),
% 0.11/0.32    inference(component_clause,[status(thm)],[f457])).
% 0.11/0.32  fof(f460,plain,(
% 0.11/0.32    ~spl0_21|~spl0_31),
% 0.11/0.32    inference(split_clause,[status(thm)],[f324,f409,f457])).
% 0.11/0.32  fof(f461,plain,(
% 0.11/0.32    spl0_32 <=> aSubsetOf0(stldt0(xA),cS1395)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f464,plain,(
% 0.11/0.32    ~spl0_21|~spl0_32),
% 0.11/0.32    inference(split_clause,[status(thm)],[f325,f409,f461])).
% 0.11/0.32  fof(f490,plain,(
% 0.11/0.32    aInteger0(sk0_20)|~spl0_10|~spl0_30),
% 0.11/0.32    inference(resolution,[status(thm)],[f366,f454])).
% 0.11/0.32  fof(f491,plain,(
% 0.11/0.32    aInteger0(sk0_19)|~spl0_13|~spl0_26),
% 0.11/0.32    inference(resolution,[status(thm)],[f378,f432])).
% 0.11/0.32  fof(f492,plain,(
% 0.11/0.32    ~aInteger0(sk0_19)|~spl0_25|spl0_27),
% 0.11/0.32    inference(resolution,[status(thm)],[f428,f437])).
% 0.11/0.32  fof(f493,plain,(
% 0.11/0.32    $false|~spl0_13|~spl0_26|~spl0_25|spl0_27),
% 0.11/0.32    inference(forward_subsumption_resolution,[status(thm)],[f492,f491])).
% 0.11/0.32  fof(f494,plain,(
% 0.11/0.32    ~spl0_13|~spl0_26|~spl0_25|spl0_27),
% 0.11/0.32    inference(contradiction_clause,[status(thm)],[f493])).
% 0.11/0.32  fof(f495,plain,(
% 0.11/0.32    ~aInteger0(sk0_20)|~spl0_25|spl0_31),
% 0.11/0.32    inference(resolution,[status(thm)],[f428,f459])).
% 0.11/0.32  fof(f496,plain,(
% 0.11/0.32    $false|~spl0_10|~spl0_30|~spl0_25|spl0_31),
% 0.11/0.32    inference(forward_subsumption_resolution,[status(thm)],[f495,f490])).
% 0.11/0.32  fof(f497,plain,(
% 0.11/0.32    ~spl0_10|~spl0_30|~spl0_25|spl0_31),
% 0.11/0.32    inference(contradiction_clause,[status(thm)],[f496])).
% 0.11/0.32  fof(f498,plain,(
% 0.11/0.32    aInteger0(sk0_18)|~spl0_19|~spl0_13),
% 0.11/0.32    inference(resolution,[status(thm)],[f401,f378])).
% 0.11/0.32  fof(f499,plain,(
% 0.11/0.32    $false|spl0_17|~spl0_19|~spl0_13),
% 0.11/0.32    inference(forward_subsumption_resolution,[status(thm)],[f498,f394])).
% 0.11/0.32  fof(f500,plain,(
% 0.11/0.32    spl0_17|~spl0_19|~spl0_13),
% 0.11/0.32    inference(contradiction_clause,[status(thm)],[f499])).
% 0.11/0.32  fof(f510,plain,(
% 0.11/0.32    spl0_35 <=> aElementOf0(sk0_18,xB)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f511,plain,(
% 0.11/0.32    aElementOf0(sk0_18,xB)|~spl0_35),
% 0.11/0.32    inference(component_clause,[status(thm)],[f510])).
% 0.11/0.32  fof(f513,plain,(
% 0.11/0.32    aElementOf0(sk0_18,stldt0(xB))|aElementOf0(sk0_18,xB)|~spl0_15|~spl0_17),
% 0.11/0.32    inference(resolution,[status(thm)],[f386,f393])).
% 0.11/0.32  fof(f514,plain,(
% 0.11/0.32    spl0_19|spl0_35|~spl0_15|~spl0_17),
% 0.11/0.32    inference(split_clause,[status(thm)],[f513,f400,f510,f385,f392])).
% 0.11/0.32  fof(f515,plain,(
% 0.11/0.32    ~aElementOf0(sk0_18,stldt0(xB))|~spl0_35|~spl0_14),
% 0.11/0.32    inference(resolution,[status(thm)],[f511,f382])).
% 0.11/0.32  fof(f524,plain,(
% 0.11/0.32    spl0_36 <=> aElementOf0(sk0_18,xA)),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f525,plain,(
% 0.11/0.32    aElementOf0(sk0_18,xA)|~spl0_36),
% 0.11/0.32    inference(component_clause,[status(thm)],[f524])).
% 0.11/0.32  fof(f527,plain,(
% 0.11/0.32    ~aInteger0(sk0_18)|aElementOf0(sk0_18,xA)|spl0_18|~spl0_12),
% 0.11/0.32    inference(resolution,[status(thm)],[f398,f374])).
% 0.11/0.32  fof(f528,plain,(
% 0.11/0.32    ~spl0_17|spl0_36|spl0_18|~spl0_12),
% 0.11/0.32    inference(split_clause,[status(thm)],[f527,f392,f524,f396,f373])).
% 0.11/0.32  fof(f542,plain,(
% 0.11/0.32    spl0_39 <=> aElementOf0(sk0_18,sdtbsmnsldt0(xA,xB))),
% 0.11/0.32    introduced(split_symbol_definition)).
% 0.11/0.32  fof(f543,plain,(
% 0.11/0.32    aElementOf0(sk0_18,sdtbsmnsldt0(xA,xB))|~spl0_39),
% 0.11/0.32    inference(component_clause,[status(thm)],[f542])).
% 0.11/0.32  fof(f545,plain,(
% 0.11/0.32    aElementOf0(sk0_18,sdtbsmnsldt0(xA,xB))|~aElementOf0(sk0_18,xA)|~spl0_4|~spl0_17),
% 0.11/0.32    inference(resolution,[status(thm)],[f342,f393])).
% 0.11/0.32  fof(f546,plain,(
% 0.11/0.32    spl0_39|~spl0_36|~spl0_4|~spl0_17),
% 0.11/0.32    inference(split_clause,[status(thm)],[f545,f542,f524,f341,f392])).
% 0.11/0.32  fof(f547,plain,(
% 0.11/0.32    $false|~spl0_35|~spl0_14|~spl0_19),
% 0.11/0.32    inference(forward_subsumption_resolution,[status(thm)],[f401,f515])).
% 0.11/0.32  fof(f548,plain,(
% 0.11/0.32    ~spl0_35|~spl0_14|~spl0_19),
% 0.11/0.32    inference(contradiction_clause,[status(thm)],[f547])).
% 0.11/0.32  fof(f549,plain,(
% 0.11/0.32    aInteger0(sk0_18)|~spl0_7|~spl0_16),
% 0.11/0.32    inference(resolution,[status(thm)],[f354,f390])).
% 0.11/0.32  fof(f550,plain,(
% 0.11/0.32    spl0_17|~spl0_7|~spl0_16),
% 0.11/0.32    inference(split_clause,[status(thm)],[f549,f392,f353,f389])).
% 0.11/0.32  fof(f551,plain,(
% 0.11/0.32    aElementOf0(sk0_18,sdtbsmnsldt0(xA,xB))|~aElementOf0(sk0_18,xB)|~spl0_17|~spl0_5),
% 0.11/0.32    inference(resolution,[status(thm)],[f393,f346])).
% 0.11/0.32  fof(f552,plain,(
% 0.11/0.32    spl0_39|~spl0_35|~spl0_17|~spl0_5),
% 0.11/0.32    inference(split_clause,[status(thm)],[f551,f542,f510,f392,f345])).
% 0.11/0.32  fof(f557,plain,(
% 0.11/0.32    aElementOf0(sk0_18,xA)|aElementOf0(sk0_18,xB)|~spl0_39|~spl0_3),
% 0.11/0.32    inference(resolution,[status(thm)],[f543,f338])).
% 0.11/0.32  fof(f558,plain,(
% 0.11/0.32    spl0_36|spl0_35|~spl0_39|~spl0_3),
% 0.11/0.32    inference(split_clause,[status(thm)],[f557,f524,f510,f542,f337])).
% 0.11/0.32  fof(f559,plain,(
% 0.11/0.32    ~aElementOf0(sk0_18,stldt0(xA))|~spl0_36|~spl0_11),
% 0.11/0.32    inference(resolution,[status(thm)],[f525,f370])).
% 0.11/0.32  fof(f564,plain,(
% 0.11/0.32    ~aElementOf0(sk0_18,sdtbsmnsldt0(xA,xB))|~spl0_16|~spl0_8),
% 0.11/0.32    inference(resolution,[status(thm)],[f390,f358])).
% 0.11/0.32  fof(f565,plain,(
% 0.11/0.32    $false|~spl0_39|~spl0_16|~spl0_8),
% 0.11/0.32    inference(forward_subsumption_resolution,[status(thm)],[f564,f543])).
% 0.11/0.32  fof(f566,plain,(
% 0.11/0.32    ~spl0_39|~spl0_16|~spl0_8),
% 0.11/0.32    inference(contradiction_clause,[status(thm)],[f565])).
% 0.11/0.32  fof(f567,plain,(
% 0.11/0.32    $false|~spl0_36|~spl0_11|~spl0_18),
% 0.11/0.32    inference(forward_subsumption_resolution,[status(thm)],[f397,f559])).
% 0.11/0.32  fof(f568,plain,(
% 0.11/0.32    ~spl0_36|~spl0_11|~spl0_18),
% 0.11/0.32    inference(contradiction_clause,[status(thm)],[f567])).
% 0.11/0.32  fof(f569,plain,(
% 0.11/0.32    aElementOf0(sk0_18,stldt0(sdtbsmnsldt0(xA,xB)))|aElementOf0(sk0_18,sdtbsmnsldt0(xA,xB))|~spl0_9|~spl0_17),
% 0.11/0.32    inference(resolution,[status(thm)],[f362,f393])).
% 0.11/0.32  fof(f570,plain,(
% 0.11/0.32    spl0_16|spl0_39|~spl0_9|~spl0_17),
% 0.11/0.32    inference(split_clause,[status(thm)],[f569,f389,f542,f361,f392])).
% 0.11/0.32  fof(f571,plain,(
% 0.11/0.32    $false),
% 0.11/0.32    inference(sat_refutation,[status(thm)],[f332,f336,f340,f344,f348,f352,f356,f360,f364,f368,f372,f376,f380,f384,f388,f399,f403,f404,f408,f415,f416,f417,f430,f434,f438,f446,f447,f452,f456,f460,f464,f494,f497,f500,f514,f528,f546,f548,f550,f552,f558,f566,f568,f570])).
% 0.11/0.32  % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.33  % Elapsed time: 0.056044 seconds
% 0.11/0.33  % CPU time: 0.347472 seconds
% 0.11/0.33  % Total memory used: 59.239 MB
% 0.11/0.33  % Net memory used: 58.963 MB
%------------------------------------------------------------------------------