TSTP Solution File: NUM448+5 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM448+5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:34:43 EDT 2024
% Result : Theorem 0.16s 0.49s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM448+5 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n028.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Apr 29 21:00:29 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.49 fof(f2,axiom,(
% 0.16/0.49 aInteger0(sz00) ),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f3,axiom,(
% 0.16/0.49 aInteger0(sz10) ),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f4,axiom,(
% 0.16/0.49 (! [W0] :( aInteger0(W0)=> aInteger0(smndt0(W0)) ) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f13,axiom,(
% 0.16/0.49 (! [W0] :( aInteger0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f17,axiom,(
% 0.16/0.49 (! [W0,W1] :( ( aInteger0(W0)& aInteger0(W1) )=> ( sdtasdt0(W0,W1) = sz00=> ( W0 = sz00| W1 = sz00 ) ) ) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f18,definition,(
% 0.16/0.49 (! [W0] :( aInteger0(W0)=> (! [W1] :( aDivisorOf0(W1,W0)<=> ( aInteger0(W1)& W1 != sz00& (? [W2] :( aInteger0(W2)& sdtasdt0(W1,W2) = W0 ) )) ) )) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f19,definition,(
% 0.16/0.49 (! [W0,W1,W2] :( ( aInteger0(W0)& aInteger0(W1)& aInteger0(W2)& W2 != sz00 )=> ( sdteqdtlpzmzozddtrp0(W0,W1,W2)<=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f25,axiom,(
% 0.16/0.49 (! [W0] :( aInteger0(W0)=> ( (? [W1] :( aDivisorOf0(W1,W0)& isPrime0(W1) ))<=> ( W0 != sz10& W0 != smndt0(sz10) ) ) ) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f28,definition,(
% 0.16/0.49 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f30,definition,(
% 0.16/0.49 (! [W0,W1] :( ( aSubsetOf0(W0,cS1395)& aSubsetOf0(W1,cS1395) )=> (! [W2] :( W2 = sdtbsmnsldt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aInteger0(W3)& ( aElementOf0(W3,W0)| aElementOf0(W3,W1) ) ) ) )) ) )) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f41,axiom,(
% 0.16/0.49 (! [W0,W1] :( ( aInteger0(W0)& aInteger0(W1)& W1 != sz00 )=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),cS1395)& isClosed0(szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) ) )),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f42,hypothesis,(
% 0.16/0.49 ( aSet0(xS)& (! [W0] :( ( aElementOf0(W0,xS)=> (? [W1] :( aInteger0(W1)& W1 != sz00& isPrime0(W1)& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1))& (! [W2] :( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))=> ( aInteger0(W2)& (? [W3] :( aInteger0(W3)& sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) ))& aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))& sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )& ( ( aInteger0(W2)& ( (? [W3] :( aInteger0(W3)& sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) ))| aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))| sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1)) ) ))& szAzrzSzezqlpdtcmdtrp0(sz00,W1) = W0 ) ))& ( (? [W1] :( aInteger0(W1)& W1 != sz00& isPrime0(W1)& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1))& (! [W2] :( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))=> ( aInteger0(W2)& (? [W3] :( aInteger0(W3)& sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) ))& aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))& sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )& ( ( aInteger0(W2)& ( (? [W3] :( aInteger0(W3)& sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) ))| aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))| sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1)) ) ) ))=> szAzrzSzezqlpdtcmdtrp0(sz00,W1) = W0 ) ))=> aElementOf0(W0,xS) ) ))& xS = cS2043 ) ),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f43,conjecture,(
% 0.16/0.49 ( (! [W0] :( aInteger0(W0)=> ( ( ( (? [W1] :( aElementOf0(W1,xS)& aElementOf0(W0,W1) ))| aElementOf0(W0,sbsmnsldt0(xS)) )=> (? [W1] :( aInteger0(W1)& W1 != sz00& (? [W2] :( aInteger0(W2)& sdtasdt0(W1,W2) = W0 ))& aDivisorOf0(W1,W0)& isPrime0(W1) ) ))& ( (? [W1] :( ( ( aInteger0(W1)& W1 != sz00& (? [W2] :( aInteger0(W2)& sdtasdt0(W1,W2) = W0 ) ))| aDivisorOf0(W1,W0) )& isPrime0(W1) ))=> ( (? [W1] :( aElementOf0(W1,xS)& aElementOf0(W0,W1) ))& aElementOf0(W0,sbsmnsldt0(xS)) ) ) ) ))=> ( ( aSet0(sbsmnsldt0(xS))& (! [W0] :( aElementOf0(W0,sbsmnsldt0(xS))<=> ( aInteger0(W0)& (? [W1] :( aElementOf0(W1,xS)& aElementOf0(W0,W1) ) )) ) ))=> ( ( aSet0(stldt0(sbsmnsldt0(xS)))& (! [W0] :( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<=> ( aInteger0(W0)& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<=> ( W0 = sz10| W0 = smndt0(sz10) ) ))| stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ) ) ),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f44,negated_conjecture,(
% 0.16/0.49 ~(( (! [W0] :( aInteger0(W0)=> ( ( ( (? [W1] :( aElementOf0(W1,xS)& aElementOf0(W0,W1) ))| aElementOf0(W0,sbsmnsldt0(xS)) )=> (? [W1] :( aInteger0(W1)& W1 != sz00& (? [W2] :( aInteger0(W2)& sdtasdt0(W1,W2) = W0 ))& aDivisorOf0(W1,W0)& isPrime0(W1) ) ))& ( (? [W1] :( ( ( aInteger0(W1)& W1 != sz00& (? [W2] :( aInteger0(W2)& sdtasdt0(W1,W2) = W0 ) ))| aDivisorOf0(W1,W0) )& isPrime0(W1) ))=> ( (? [W1] :( aElementOf0(W1,xS)& aElementOf0(W0,W1) ))& aElementOf0(W0,sbsmnsldt0(xS)) ) ) ) ))=> ( ( aSet0(sbsmnsldt0(xS))& (! [W0] :( aElementOf0(W0,sbsmnsldt0(xS))<=> ( aInteger0(W0)& (? [W1] :( aElementOf0(W1,xS)& aElementOf0(W0,W1) ) )) ) ))=> ( ( aSet0(stldt0(sbsmnsldt0(xS)))& (! [W0] :( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<=> ( aInteger0(W0)& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) ) ))=> ( (! [W0] :( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<=> ( W0 = sz10| W0 = smndt0(sz10) ) ))| stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ) ) )),
% 0.16/0.49 inference(negated_conjecture,[status(cth)],[f43])).
% 0.16/0.49 fof(f48,plain,(
% 0.16/0.49 aInteger0(sz00)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.49 fof(f49,plain,(
% 0.16/0.49 aInteger0(sz10)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.49 fof(f50,plain,(
% 0.16/0.49 ![W0]: (~aInteger0(W0)|aInteger0(smndt0(W0)))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.16/0.49 fof(f51,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|aInteger0(smndt0(X0)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f50])).
% 0.16/0.49 fof(f70,plain,(
% 0.16/0.49 ![W0]: (~aInteger0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.16/0.49 fof(f71,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|sdtasdt0(X0,sz10)=X0)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f70])).
% 0.16/0.49 fof(f82,plain,(
% 0.16/0.49 ![W0,W1]: ((~aInteger0(W0)|~aInteger0(W1))|(~sdtasdt0(W0,W1)=sz00|(W0=sz00|W1=sz00)))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.16/0.49 fof(f83,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|~sdtasdt0(X0,X1)=sz00|X0=sz00|X1=sz00)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f82])).
% 0.16/0.49 fof(f84,plain,(
% 0.16/0.49 ![W0]: (~aInteger0(W0)|(![W1]: (aDivisorOf0(W1,W0)<=>((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0))))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.16/0.49 fof(f85,plain,(
% 0.16/0.49 ![W0]: (~aInteger0(W0)|(![W1]: ((~aDivisorOf0(W1,W0)|((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0))))&(aDivisorOf0(W1,W0)|((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))))))),
% 0.16/0.49 inference(NNF_transformation,[status(esa)],[f84])).
% 0.16/0.49 fof(f86,plain,(
% 0.16/0.49 ![W0]: (~aInteger0(W0)|((![W1]: (~aDivisorOf0(W1,W0)|((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0)))))&(![W1]: (aDivisorOf0(W1,W0)|((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))))))),
% 0.16/0.49 inference(miniscoping,[status(esa)],[f85])).
% 0.16/0.49 fof(f87,plain,(
% 0.16/0.49 ![W0]: (~aInteger0(W0)|((![W1]: (~aDivisorOf0(W1,W0)|((aInteger0(W1)&~W1=sz00)&(aInteger0(sk0_0(W1,W0))&sdtasdt0(W1,sk0_0(W1,W0))=W0))))&(![W1]: (aDivisorOf0(W1,W0)|((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))))))),
% 0.16/0.49 inference(skolemization,[status(esa)],[f86])).
% 0.16/0.49 fof(f91,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|~aDivisorOf0(X1,X0)|sdtasdt0(X1,sk0_0(X1,X0))=X0)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f87])).
% 0.16/0.49 fof(f93,plain,(
% 0.16/0.49 ![W0,W1,W2]: ((((~aInteger0(W0)|~aInteger0(W1))|~aInteger0(W2))|W2=sz00)|(sdteqdtlpzmzozddtrp0(W0,W1,W2)<=>aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1)))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.16/0.49 fof(f94,plain,(
% 0.16/0.49 ![W0,W1,W2]: ((((~aInteger0(W0)|~aInteger0(W1))|~aInteger0(W2))|W2=sz00)|((~sdteqdtlpzmzozddtrp0(W0,W1,W2)|aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))))&(sdteqdtlpzmzozddtrp0(W0,W1,W2)|~aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))))))),
% 0.16/0.49 inference(NNF_transformation,[status(esa)],[f93])).
% 0.16/0.49 fof(f95,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~aInteger0(X0)|~aInteger0(X1)|~aInteger0(X2)|X2=sz00|~sdteqdtlpzmzozddtrp0(X0,X1,X2)|aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f94])).
% 0.16/0.49 fof(f96,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~aInteger0(X0)|~aInteger0(X1)|~aInteger0(X2)|X2=sz00|sdteqdtlpzmzozddtrp0(X0,X1,X2)|~aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f94])).
% 0.16/0.49 fof(f108,plain,(
% 0.16/0.49 ![W0]: (~aInteger0(W0)|((?[W1]: (aDivisorOf0(W1,W0)&isPrime0(W1)))<=>(~W0=sz10&~W0=smndt0(sz10))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.16/0.49 fof(f109,plain,(
% 0.16/0.49 ![W0]: (~aInteger0(W0)|(((![W1]: (~aDivisorOf0(W1,W0)|~isPrime0(W1)))|(~W0=sz10&~W0=smndt0(sz10)))&((?[W1]: (aDivisorOf0(W1,W0)&isPrime0(W1)))|(W0=sz10|W0=smndt0(sz10)))))),
% 0.16/0.49 inference(NNF_transformation,[status(esa)],[f108])).
% 0.16/0.49 fof(f110,plain,(
% 0.16/0.49 ![W0]: (~aInteger0(W0)|(((![W1]: (~aDivisorOf0(W1,W0)|~isPrime0(W1)))|(~W0=sz10&~W0=smndt0(sz10)))&((aDivisorOf0(sk0_1(W0),W0)&isPrime0(sk0_1(W0)))|(W0=sz10|W0=smndt0(sz10)))))),
% 0.16/0.49 inference(skolemization,[status(esa)],[f109])).
% 0.16/0.49 fof(f111,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|~aDivisorOf0(X1,X0)|~isPrime0(X1)|~X0=sz10)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f110])).
% 0.16/0.49 fof(f112,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|~aDivisorOf0(X1,X0)|~isPrime0(X1)|~X0=smndt0(sz10))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f110])).
% 0.16/0.49 fof(f113,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|aDivisorOf0(sk0_1(X0),X0)|X0=sz10|X0=smndt0(sz10))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f110])).
% 0.16/0.49 fof(f114,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|isPrime0(sk0_1(X0))|X0=sz10|X0=smndt0(sz10))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f110])).
% 0.16/0.49 fof(f121,plain,(
% 0.16/0.49 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.16/0.49 fof(f122,plain,(
% 0.16/0.49 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 0.16/0.49 inference(NNF_transformation,[status(esa)],[f121])).
% 0.16/0.49 fof(f123,plain,(
% 0.16/0.49 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 0.16/0.49 inference(miniscoping,[status(esa)],[f122])).
% 0.16/0.49 fof(f124,plain,(
% 0.16/0.49 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_2(W1,W0),W1)&~aElementOf0(sk0_2(W1,W0),W0)))))))),
% 0.16/0.49 inference(skolemization,[status(esa)],[f123])).
% 0.16/0.49 fof(f127,plain,(
% 0.16/0.49 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|aElementOf0(sk0_2(X1,X0),X1))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f124])).
% 0.16/0.49 fof(f128,plain,(
% 0.16/0.49 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|~aElementOf0(sk0_2(X1,X0),X0))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f124])).
% 0.16/0.49 fof(f131,plain,(
% 0.16/0.49 ![W0,W1]: ((~aSubsetOf0(W0,cS1395)|~aSubsetOf0(W1,cS1395))|(![W2]: (W2=sdtbsmnsldt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aInteger0(W3)&(aElementOf0(W3,W0)|aElementOf0(W3,W1)))))))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.16/0.49 fof(f132,plain,(
% 0.16/0.49 ![W0,W1]: ((~aSubsetOf0(W0,cS1395)|~aSubsetOf0(W1,cS1395))|(![W2]: ((~W2=sdtbsmnsldt0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aInteger0(W3)&(aElementOf0(W3,W0)|aElementOf0(W3,W1))))&(aElementOf0(W3,W2)|(~aInteger0(W3)|(~aElementOf0(W3,W0)&~aElementOf0(W3,W1))))))))&(W2=sdtbsmnsldt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aInteger0(W3)|(~aElementOf0(W3,W0)&~aElementOf0(W3,W1))))&(aElementOf0(W3,W2)|(aInteger0(W3)&(aElementOf0(W3,W0)|aElementOf0(W3,W1)))))))))))),
% 0.16/0.49 inference(NNF_transformation,[status(esa)],[f131])).
% 0.16/0.49 fof(f133,plain,(
% 0.16/0.49 ![W0,W1]: ((~aSubsetOf0(W0,cS1395)|~aSubsetOf0(W1,cS1395))|((![W2]: (~W2=sdtbsmnsldt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aInteger0(W3)&(aElementOf0(W3,W0)|aElementOf0(W3,W1)))))&(![W3]: (aElementOf0(W3,W2)|(~aInteger0(W3)|(~aElementOf0(W3,W0)&~aElementOf0(W3,W1)))))))))&(![W2]: (W2=sdtbsmnsldt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aInteger0(W3)|(~aElementOf0(W3,W0)&~aElementOf0(W3,W1))))&(aElementOf0(W3,W2)|(aInteger0(W3)&(aElementOf0(W3,W0)|aElementOf0(W3,W1)))))))))))),
% 0.16/0.49 inference(miniscoping,[status(esa)],[f132])).
% 0.16/0.49 fof(f134,plain,(
% 0.16/0.49 ![W0,W1]: ((~aSubsetOf0(W0,cS1395)|~aSubsetOf0(W1,cS1395))|((![W2]: (~W2=sdtbsmnsldt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aInteger0(W3)&(aElementOf0(W3,W0)|aElementOf0(W3,W1)))))&(![W3]: (aElementOf0(W3,W2)|(~aInteger0(W3)|(~aElementOf0(W3,W0)&~aElementOf0(W3,W1)))))))))&(![W2]: (W2=sdtbsmnsldt0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_3(W2,W1,W0),W2)|(~aInteger0(sk0_3(W2,W1,W0))|(~aElementOf0(sk0_3(W2,W1,W0),W0)&~aElementOf0(sk0_3(W2,W1,W0),W1))))&(aElementOf0(sk0_3(W2,W1,W0),W2)|(aInteger0(sk0_3(W2,W1,W0))&(aElementOf0(sk0_3(W2,W1,W0),W0)|aElementOf0(sk0_3(W2,W1,W0),W1))))))))))),
% 0.16/0.49 inference(skolemization,[status(esa)],[f133])).
% 0.16/0.49 fof(f136,plain,(
% 0.16/0.49 ![X0,X1,X2,X3]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|~X2=sdtbsmnsldt0(X0,X1)|~aElementOf0(X3,X2)|aInteger0(X3))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f134])).
% 0.16/0.49 fof(f138,plain,(
% 0.16/0.49 ![X0,X1,X2,X3]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|~X2=sdtbsmnsldt0(X0,X1)|aElementOf0(X3,X2)|~aInteger0(X3)|~aElementOf0(X3,X0))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f134])).
% 0.16/0.49 fof(f140,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|X2=sdtbsmnsldt0(X0,X1)|~aSet0(X2)|~aElementOf0(sk0_3(X2,X1,X0),X2)|~aInteger0(sk0_3(X2,X1,X0))|~aElementOf0(sk0_3(X2,X1,X0),X0))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f134])).
% 0.16/0.49 fof(f141,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|X2=sdtbsmnsldt0(X0,X1)|~aSet0(X2)|~aElementOf0(sk0_3(X2,X1,X0),X2)|~aInteger0(sk0_3(X2,X1,X0))|~aElementOf0(sk0_3(X2,X1,X0),X1))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f134])).
% 0.16/0.49 fof(f142,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|X2=sdtbsmnsldt0(X0,X1)|~aSet0(X2)|aElementOf0(sk0_3(X2,X1,X0),X2)|aInteger0(sk0_3(X2,X1,X0)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f134])).
% 0.16/0.49 fof(f143,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|X2=sdtbsmnsldt0(X0,X1)|~aSet0(X2)|aElementOf0(sk0_3(X2,X1,X0),X2)|aElementOf0(sk0_3(X2,X1,X0),X0)|aElementOf0(sk0_3(X2,X1,X0),X1))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f134])).
% 0.16/0.49 fof(f216,plain,(
% 0.16/0.49 ![W0,W1]: (((~aInteger0(W0)|~aInteger0(W1))|W1=sz00)|(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),cS1395)&isClosed0(szAzrzSzezqlpdtcmdtrp0(W0,W1))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.16/0.49 fof(f217,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|X1=sz00|aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f216])).
% 0.16/0.49 fof(f219,plain,(
% 0.16/0.49 (aSet0(xS)&(![W0]: ((~aElementOf0(W0,xS)|(?[W1]: (((((aInteger0(W1)&~W1=sz00)&isPrime0(W1))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1)))&(![W2]: ((~aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))|(((aInteger0(W2)&(?[W3]: (aInteger0(W3)&sdtasdt0(W1,W3)=sdtpldt0(W2,smndt0(sz00)))))&aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(W2,sz00,W1)))&((~aInteger0(W2)|(((![W3]: (~aInteger0(W3)|~sdtasdt0(W1,W3)=sdtpldt0(W2,smndt0(sz00))))&~aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&~sdteqdtlpzmzozddtrp0(W2,sz00,W1)))|aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))))))&szAzrzSzezqlpdtcmdtrp0(sz00,W1)=W0)))&((![W1]: (((~aInteger0(W1)|W1=sz00)|~isPrime0(W1))|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1))&(![W2]: ((~aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))|(((aInteger0(W2)&(?[W3]: (aInteger0(W3)&sdtasdt0(W1,W3)=sdtpldt0(W2,smndt0(sz00)))))&aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(W2,sz00,W1)))&((~aInteger0(W2)|(((![W3]: (~aInteger0(W3)|~sdtasdt0(W1,W3)=sdtpldt0(W2,smndt0(sz00))))&~aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&~sdteqdtlpzmzozddtrp0(W2,sz00,W1)))|aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))))))&~szAzrzSzezqlpdtcmdtrp0(sz00,W1)=W0)))|aElementOf0(W0,xS)))))&xS=cS2043),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.16/0.49 fof(f220,plain,(
% 0.16/0.49 (aSet0(xS)&((![W0]: (~aElementOf0(W0,xS)|(?[W1]: (((((aInteger0(W1)&~W1=sz00)&isPrime0(W1))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1)))&((![W2]: (~aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))|(((aInteger0(W2)&(?[W3]: (aInteger0(W3)&sdtasdt0(W1,W3)=sdtpldt0(W2,smndt0(sz00)))))&aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(W2,sz00,W1))))&(![W2]: ((~aInteger0(W2)|(((![W3]: (~aInteger0(W3)|~sdtasdt0(W1,W3)=sdtpldt0(W2,smndt0(sz00))))&~aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&~sdteqdtlpzmzozddtrp0(W2,sz00,W1)))|aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))))))&szAzrzSzezqlpdtcmdtrp0(sz00,W1)=W0))))&(![W0]: ((![W1]: (((~aInteger0(W1)|W1=sz00)|~isPrime0(W1))|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1))&((![W2]: (~aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))|(((aInteger0(W2)&(?[W3]: (aInteger0(W3)&sdtasdt0(W1,W3)=sdtpldt0(W2,smndt0(sz00)))))&aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(W2,sz00,W1))))&(![W2]: ((~aInteger0(W2)|(((![W3]: (~aInteger0(W3)|~sdtasdt0(W1,W3)=sdtpldt0(W2,smndt0(sz00))))&~aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&~sdteqdtlpzmzozddtrp0(W2,sz00,W1)))|aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))))))&~szAzrzSzezqlpdtcmdtrp0(sz00,W1)=W0)))|aElementOf0(W0,xS)))))&xS=cS2043),
% 0.16/0.49 inference(miniscoping,[status(esa)],[f219])).
% 0.16/0.49 fof(f221,plain,(
% 0.16/0.49 (aSet0(xS)&((![W0]: (~aElementOf0(W0,xS)|(((((aInteger0(sk0_15(W0))&~sk0_15(W0)=sz00)&isPrime0(sk0_15(W0)))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(W0))))&((![W2]: (~aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(W0)))|(((aInteger0(W2)&(aInteger0(sk0_16(W2,W0))&sdtasdt0(sk0_15(W0),sk0_16(W2,W0))=sdtpldt0(W2,smndt0(sz00))))&aDivisorOf0(sk0_15(W0),sdtpldt0(W2,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(W2,sz00,sk0_15(W0)))))&(![W2]: ((~aInteger0(W2)|(((![W3]: (~aInteger0(W3)|~sdtasdt0(sk0_15(W0),W3)=sdtpldt0(W2,smndt0(sz00))))&~aDivisorOf0(sk0_15(W0),sdtpldt0(W2,smndt0(sz00))))&~sdteqdtlpzmzozddtrp0(W2,sz00,sk0_15(W0))))|aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(W0)))))))&szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(W0))=W0)))&(![W0]: ((![W1]: (((~aInteger0(W1)|W1=sz00)|~isPrime0(W1))|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1))&((![W2]: (~aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))|(((aInteger0(W2)&(aInteger0(sk0_17(W2,W1,W0))&sdtasdt0(W1,sk0_17(W2,W1,W0))=sdtpldt0(W2,smndt0(sz00))))&aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(W2,sz00,W1))))&(![W2]: ((~aInteger0(W2)|(((![W3]: (~aInteger0(W3)|~sdtasdt0(W1,W3)=sdtpldt0(W2,smndt0(sz00))))&~aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00))))&~sdteqdtlpzmzozddtrp0(W2,sz00,W1)))|aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))))))&~szAzrzSzezqlpdtcmdtrp0(sz00,W1)=W0)))|aElementOf0(W0,xS)))))&xS=cS2043),
% 0.16/0.49 inference(skolemization,[status(esa)],[f220])).
% 0.16/0.49 fof(f222,plain,(
% 0.16/0.49 aSet0(xS)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f221])).
% 0.16/0.49 fof(f223,plain,(
% 0.16/0.49 ![X0]: (~aElementOf0(X0,xS)|aInteger0(sk0_15(X0)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f221])).
% 0.16/0.49 fof(f225,plain,(
% 0.16/0.49 ![X0]: (~aElementOf0(X0,xS)|isPrime0(sk0_15(X0)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f221])).
% 0.16/0.49 fof(f230,plain,(
% 0.16/0.49 ![X0,X1]: (~aElementOf0(X0,xS)|~aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(X0)))|aDivisorOf0(sk0_15(X0),sdtpldt0(X1,smndt0(sz00))))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f221])).
% 0.16/0.49 fof(f233,plain,(
% 0.16/0.49 ![X0,X1]: (~aElementOf0(X0,xS)|~aInteger0(X1)|~aDivisorOf0(sk0_15(X0),sdtpldt0(X1,smndt0(sz00)))|aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(X0))))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f221])).
% 0.16/0.49 fof(f247,plain,(
% 0.16/0.49 ((![W0]: (~aInteger0(W0)|((((![W1]: (~aElementOf0(W1,xS)|~aElementOf0(W0,W1)))&~aElementOf0(W0,sbsmnsldt0(xS)))|(?[W1]: ((((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0)))&aDivisorOf0(W1,W0))&isPrime0(W1))))&((![W1]: ((((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))&~aDivisorOf0(W1,W0))|~isPrime0(W1)))|((?[W1]: (aElementOf0(W1,xS)&aElementOf0(W0,W1)))&aElementOf0(W0,sbsmnsldt0(xS)))))))&((aSet0(sbsmnsldt0(xS))&(![W0]: (aElementOf0(W0,sbsmnsldt0(xS))<=>(aInteger0(W0)&(?[W1]: (aElementOf0(W1,xS)&aElementOf0(W0,W1)))))))&((aSet0(stldt0(sbsmnsldt0(xS)))&(![W0]: (aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(W0)&~aElementOf0(W0,sbsmnsldt0(xS))))))&((?[W0]: (aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<~>(W0=sz10|W0=smndt0(sz10))))&~stldt0(sbsmnsldt0(xS))=cS2076))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.16/0.49 fof(f248,plain,(
% 0.16/0.49 ![W0]: (pd0_2(W0)=>((![W1]: (~aElementOf0(W1,xS)|~aElementOf0(W0,W1)))&~aElementOf0(W0,sbsmnsldt0(xS))))),
% 0.16/0.49 introduced(predicate_definition,[f247])).
% 0.16/0.49 fof(f249,plain,(
% 0.16/0.49 ![W0,W1]: (pd0_3(W1,W0)=>((((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))&~aDivisorOf0(W1,W0))|~isPrime0(W1)))),
% 0.16/0.49 introduced(predicate_definition,[f247])).
% 0.16/0.49 fof(f250,plain,(
% 0.16/0.49 (![W0]: (~aInteger0(W0)|((pd0_2(W0)|(?[W1]: ((((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0)))&aDivisorOf0(W1,W0))&isPrime0(W1))))&((![W1]: pd0_3(W1,W0))|((?[W1]: (aElementOf0(W1,xS)&aElementOf0(W0,W1)))&aElementOf0(W0,sbsmnsldt0(xS)))))))&((aSet0(sbsmnsldt0(xS))&(![W0]: (aElementOf0(W0,sbsmnsldt0(xS))<=>(aInteger0(W0)&(?[W1]: (aElementOf0(W1,xS)&aElementOf0(W0,W1)))))))&((aSet0(stldt0(sbsmnsldt0(xS)))&(![W0]: (aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(W0)&~aElementOf0(W0,sbsmnsldt0(xS))))))&((?[W0]: (aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<~>(W0=sz10|W0=smndt0(sz10))))&~stldt0(sbsmnsldt0(xS))=cS2076)))),
% 0.16/0.49 inference(formula_renaming,[status(thm)],[f247,f249,f248])).
% 0.16/0.49 fof(f251,plain,(
% 0.16/0.49 (![W0]: (~aInteger0(W0)|((pd0_2(W0)|(?[W1]: ((((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0)))&aDivisorOf0(W1,W0))&isPrime0(W1))))&((![W1]: pd0_3(W1,W0))|((?[W1]: (aElementOf0(W1,xS)&aElementOf0(W0,W1)))&aElementOf0(W0,sbsmnsldt0(xS)))))))&((aSet0(sbsmnsldt0(xS))&(![W0]: ((~aElementOf0(W0,sbsmnsldt0(xS))|(aInteger0(W0)&(?[W1]: (aElementOf0(W1,xS)&aElementOf0(W0,W1)))))&(aElementOf0(W0,sbsmnsldt0(xS))|(~aInteger0(W0)|(![W1]: (~aElementOf0(W1,xS)|~aElementOf0(W0,W1))))))))&((aSet0(stldt0(sbsmnsldt0(xS)))&(![W0]: ((~aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(aInteger0(W0)&~aElementOf0(W0,sbsmnsldt0(xS))))&(aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(~aInteger0(W0)|aElementOf0(W0,sbsmnsldt0(xS)))))))&((?[W0]: ((aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(W0=sz10|W0=smndt0(sz10)))&(~aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(~W0=sz10&~W0=smndt0(sz10)))))&~stldt0(sbsmnsldt0(xS))=cS2076)))),
% 0.16/0.49 inference(NNF_transformation,[status(esa)],[f250])).
% 0.16/0.49 fof(f252,plain,(
% 0.16/0.49 (![W0]: (~aInteger0(W0)|((pd0_2(W0)|(?[W1]: ((((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0)))&aDivisorOf0(W1,W0))&isPrime0(W1))))&((![W1]: pd0_3(W1,W0))|((?[W1]: (aElementOf0(W1,xS)&aElementOf0(W0,W1)))&aElementOf0(W0,sbsmnsldt0(xS)))))))&((aSet0(sbsmnsldt0(xS))&((![W0]: (~aElementOf0(W0,sbsmnsldt0(xS))|(aInteger0(W0)&(?[W1]: (aElementOf0(W1,xS)&aElementOf0(W0,W1))))))&(![W0]: (aElementOf0(W0,sbsmnsldt0(xS))|(~aInteger0(W0)|(![W1]: (~aElementOf0(W1,xS)|~aElementOf0(W0,W1))))))))&((aSet0(stldt0(sbsmnsldt0(xS)))&((![W0]: (~aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(aInteger0(W0)&~aElementOf0(W0,sbsmnsldt0(xS)))))&(![W0]: (aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(~aInteger0(W0)|aElementOf0(W0,sbsmnsldt0(xS)))))))&((?[W0]: ((aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(W0=sz10|W0=smndt0(sz10)))&(~aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(~W0=sz10&~W0=smndt0(sz10)))))&~stldt0(sbsmnsldt0(xS))=cS2076)))),
% 0.16/0.49 inference(miniscoping,[status(esa)],[f251])).
% 0.16/0.49 fof(f253,plain,(
% 0.16/0.49 (![W0]: (~aInteger0(W0)|((pd0_2(W0)|((((aInteger0(sk0_18(W0))&~sk0_18(W0)=sz00)&(aInteger0(sk0_19(W0))&sdtasdt0(sk0_18(W0),sk0_19(W0))=W0))&aDivisorOf0(sk0_18(W0),W0))&isPrime0(sk0_18(W0))))&((![W1]: pd0_3(W1,W0))|((aElementOf0(sk0_20(W0),xS)&aElementOf0(W0,sk0_20(W0)))&aElementOf0(W0,sbsmnsldt0(xS)))))))&((aSet0(sbsmnsldt0(xS))&((![W0]: (~aElementOf0(W0,sbsmnsldt0(xS))|(aInteger0(W0)&(aElementOf0(sk0_21(W0),xS)&aElementOf0(W0,sk0_21(W0))))))&(![W0]: (aElementOf0(W0,sbsmnsldt0(xS))|(~aInteger0(W0)|(![W1]: (~aElementOf0(W1,xS)|~aElementOf0(W0,W1))))))))&((aSet0(stldt0(sbsmnsldt0(xS)))&((![W0]: (~aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(aInteger0(W0)&~aElementOf0(W0,sbsmnsldt0(xS)))))&(![W0]: (aElementOf0(W0,stldt0(sbsmnsldt0(xS)))|(~aInteger0(W0)|aElementOf0(W0,sbsmnsldt0(xS)))))))&(((aElementOf0(sk0_22,stldt0(sbsmnsldt0(xS)))|(sk0_22=sz10|sk0_22=smndt0(sz10)))&(~aElementOf0(sk0_22,stldt0(sbsmnsldt0(xS)))|(~sk0_22=sz10&~sk0_22=smndt0(sz10))))&~stldt0(sbsmnsldt0(xS))=cS2076)))),
% 0.16/0.49 inference(skolemization,[status(esa)],[f252])).
% 0.16/0.49 fof(f258,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|pd0_2(X0)|aDivisorOf0(sk0_18(X0),X0))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f259,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|pd0_2(X0)|isPrime0(sk0_18(X0)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f262,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|pd0_3(X1,X0)|aElementOf0(X0,sbsmnsldt0(xS)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f263,plain,(
% 0.16/0.49 aSet0(sbsmnsldt0(xS))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f264,plain,(
% 0.16/0.49 ![X0]: (~aElementOf0(X0,sbsmnsldt0(xS))|aInteger0(X0))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f265,plain,(
% 0.16/0.49 ![X0]: (~aElementOf0(X0,sbsmnsldt0(xS))|aElementOf0(sk0_21(X0),xS))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f266,plain,(
% 0.16/0.49 ![X0]: (~aElementOf0(X0,sbsmnsldt0(xS))|aElementOf0(X0,sk0_21(X0)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f267,plain,(
% 0.16/0.49 ![X0,X1]: (aElementOf0(X0,sbsmnsldt0(xS))|~aInteger0(X0)|~aElementOf0(X1,xS)|~aElementOf0(X0,X1))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f268,plain,(
% 0.16/0.49 aSet0(stldt0(sbsmnsldt0(xS)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f269,plain,(
% 0.16/0.49 ![X0]: (~aElementOf0(X0,stldt0(sbsmnsldt0(xS)))|aInteger0(X0))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f270,plain,(
% 0.16/0.49 ![X0]: (~aElementOf0(X0,stldt0(sbsmnsldt0(xS)))|~aElementOf0(X0,sbsmnsldt0(xS)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f271,plain,(
% 0.16/0.49 ![X0]: (aElementOf0(X0,stldt0(sbsmnsldt0(xS)))|~aInteger0(X0)|aElementOf0(X0,sbsmnsldt0(xS)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f272,plain,(
% 0.16/0.49 aElementOf0(sk0_22,stldt0(sbsmnsldt0(xS)))|sk0_22=sz10|sk0_22=smndt0(sz10)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f273,plain,(
% 0.16/0.49 ~aElementOf0(sk0_22,stldt0(sbsmnsldt0(xS)))|~sk0_22=sz10),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f274,plain,(
% 0.16/0.49 ~aElementOf0(sk0_22,stldt0(sbsmnsldt0(xS)))|~sk0_22=smndt0(sz10)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f253])).
% 0.16/0.49 fof(f285,plain,(
% 0.16/0.49 ![W0]: (~pd0_2(W0)|((![W1]: (~aElementOf0(W1,xS)|~aElementOf0(W0,W1)))&~aElementOf0(W0,sbsmnsldt0(xS))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f248])).
% 0.16/0.49 fof(f286,plain,(
% 0.16/0.49 ![X0,X1]: (~pd0_2(X0)|~aElementOf0(X1,xS)|~aElementOf0(X0,X1))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f285])).
% 0.16/0.49 fof(f287,plain,(
% 0.16/0.49 ![X0]: (~pd0_2(X0)|~aElementOf0(X0,sbsmnsldt0(xS)))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f285])).
% 0.16/0.49 fof(f288,plain,(
% 0.16/0.49 ![W0,W1]: (~pd0_3(W1,W0)|((((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))&~aDivisorOf0(W1,W0))|~isPrime0(W1)))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(esa)],[f249])).
% 0.16/0.49 fof(f290,plain,(
% 0.16/0.49 ![X0,X1]: (~pd0_3(X0,X1)|~aDivisorOf0(X0,X1)|~isPrime0(X0))),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f288])).
% 0.16/0.49 fof(f322,plain,(
% 0.16/0.49 spl0_8 <=> aElementOf0(sk0_22,stldt0(sbsmnsldt0(xS)))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f323,plain,(
% 0.16/0.49 aElementOf0(sk0_22,stldt0(sbsmnsldt0(xS)))|~spl0_8),
% 0.16/0.49 inference(component_clause,[status(thm)],[f322])).
% 0.16/0.49 fof(f324,plain,(
% 0.16/0.49 ~aElementOf0(sk0_22,stldt0(sbsmnsldt0(xS)))|spl0_8),
% 0.16/0.49 inference(component_clause,[status(thm)],[f322])).
% 0.16/0.49 fof(f325,plain,(
% 0.16/0.49 spl0_9 <=> sk0_22=sz10),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f326,plain,(
% 0.16/0.49 sk0_22=sz10|~spl0_9),
% 0.16/0.49 inference(component_clause,[status(thm)],[f325])).
% 0.16/0.49 fof(f328,plain,(
% 0.16/0.49 spl0_10 <=> sk0_22=smndt0(sz10)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f329,plain,(
% 0.16/0.49 sk0_22=smndt0(sz10)|~spl0_10),
% 0.16/0.49 inference(component_clause,[status(thm)],[f328])).
% 0.16/0.49 fof(f330,plain,(
% 0.16/0.49 ~sk0_22=smndt0(sz10)|spl0_10),
% 0.16/0.49 inference(component_clause,[status(thm)],[f328])).
% 0.16/0.49 fof(f331,plain,(
% 0.16/0.49 spl0_8|spl0_9|spl0_10),
% 0.16/0.49 inference(split_clause,[status(thm)],[f272,f322,f325,f328])).
% 0.16/0.49 fof(f332,plain,(
% 0.16/0.49 ~spl0_8|~spl0_9),
% 0.16/0.49 inference(split_clause,[status(thm)],[f273,f322,f325])).
% 0.16/0.49 fof(f333,plain,(
% 0.16/0.49 ~spl0_8|~spl0_10),
% 0.16/0.49 inference(split_clause,[status(thm)],[f274,f322,f328])).
% 0.16/0.49 fof(f336,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(sz10)|~aDivisorOf0(X0,sz10)|~isPrime0(X0))),
% 0.16/0.49 inference(destructive_equality_resolution,[status(esa)],[f111])).
% 0.16/0.49 fof(f337,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(smndt0(sz10))|~aDivisorOf0(X0,smndt0(sz10))|~isPrime0(X0))),
% 0.16/0.49 inference(destructive_equality_resolution,[status(esa)],[f112])).
% 0.16/0.49 fof(f339,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|~aElementOf0(X2,sdtbsmnsldt0(X0,X1))|aInteger0(X2))),
% 0.16/0.49 inference(destructive_equality_resolution,[status(esa)],[f136])).
% 0.16/0.49 fof(f341,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|aElementOf0(X2,sdtbsmnsldt0(X0,X1))|~aInteger0(X2)|~aElementOf0(X2,X0))),
% 0.16/0.49 inference(destructive_equality_resolution,[status(esa)],[f138])).
% 0.16/0.49 fof(f382,plain,(
% 0.16/0.49 ![X0]: (~aDivisorOf0(X0,sz10)|~isPrime0(X0))),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f336,f49])).
% 0.16/0.49 fof(f383,plain,(
% 0.16/0.49 spl0_11 <=> isPrime0(sk0_18(sz10))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f385,plain,(
% 0.16/0.49 ~isPrime0(sk0_18(sz10))|spl0_11),
% 0.16/0.49 inference(component_clause,[status(thm)],[f383])).
% 0.16/0.49 fof(f386,plain,(
% 0.16/0.49 spl0_12 <=> aInteger0(sz10)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f388,plain,(
% 0.16/0.49 ~aInteger0(sz10)|spl0_12),
% 0.16/0.49 inference(component_clause,[status(thm)],[f386])).
% 0.16/0.49 fof(f394,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|pd0_3(X1,X0)|~pd0_2(X0))),
% 0.16/0.49 inference(resolution,[status(thm)],[f262,f287])).
% 0.16/0.49 fof(f398,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|~pd0_2(X0)|~aDivisorOf0(X1,X0)|~isPrime0(X1))),
% 0.16/0.49 inference(resolution,[status(thm)],[f394,f290])).
% 0.16/0.49 fof(f399,plain,(
% 0.16/0.49 spl0_13 <=> pd0_2(sz10)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f400,plain,(
% 0.16/0.49 pd0_2(sz10)|~spl0_13),
% 0.16/0.49 inference(component_clause,[status(thm)],[f399])).
% 0.16/0.49 fof(f402,plain,(
% 0.16/0.49 ~aInteger0(sz10)|pd0_2(sz10)|~isPrime0(sk0_18(sz10))),
% 0.16/0.49 inference(resolution,[status(thm)],[f258,f382])).
% 0.16/0.49 fof(f403,plain,(
% 0.16/0.49 ~spl0_12|spl0_13|~spl0_11),
% 0.16/0.49 inference(split_clause,[status(thm)],[f402,f386,f399,f383])).
% 0.16/0.49 fof(f406,plain,(
% 0.16/0.49 $false|spl0_12),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f388,f49])).
% 0.16/0.49 fof(f407,plain,(
% 0.16/0.49 spl0_12),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f406])).
% 0.16/0.49 fof(f411,plain,(
% 0.16/0.49 spl0_15 <=> aInteger0(sz00)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f413,plain,(
% 0.16/0.49 ~aInteger0(sz00)|spl0_15),
% 0.16/0.49 inference(component_clause,[status(thm)],[f411])).
% 0.16/0.49 fof(f414,plain,(
% 0.16/0.49 spl0_16 <=> sz00=sz00),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f419,plain,(
% 0.16/0.49 spl0_17 <=> sz10=sz00),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f420,plain,(
% 0.16/0.49 sz10=sz00|~spl0_17),
% 0.16/0.49 inference(component_clause,[status(thm)],[f419])).
% 0.16/0.49 fof(f422,plain,(
% 0.16/0.49 ~aInteger0(sz00)|~aInteger0(sz10)|sz00=sz00|sz10=sz00|~aInteger0(sz00)),
% 0.16/0.49 inference(resolution,[status(thm)],[f83,f71])).
% 0.16/0.49 fof(f423,plain,(
% 0.16/0.49 ~spl0_15|~spl0_12|spl0_16|spl0_17),
% 0.16/0.49 inference(split_clause,[status(thm)],[f422,f411,f386,f414,f419])).
% 0.16/0.49 fof(f428,plain,(
% 0.16/0.49 $false|spl0_15),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f413,f48])).
% 0.16/0.49 fof(f429,plain,(
% 0.16/0.49 spl0_15),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f428])).
% 0.16/0.49 fof(f491,plain,(
% 0.16/0.49 spl0_32 <=> aSet0(xS)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f493,plain,(
% 0.16/0.49 ~aSet0(xS)|spl0_32),
% 0.16/0.49 inference(component_clause,[status(thm)],[f491])).
% 0.16/0.49 fof(f509,plain,(
% 0.16/0.49 spl0_36 <=> aSet0(stldt0(sbsmnsldt0(xS)))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f511,plain,(
% 0.16/0.49 ~aSet0(stldt0(sbsmnsldt0(xS)))|spl0_36),
% 0.16/0.49 inference(component_clause,[status(thm)],[f509])).
% 0.16/0.49 fof(f527,plain,(
% 0.16/0.49 spl0_40 <=> aSet0(sbsmnsldt0(xS))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f529,plain,(
% 0.16/0.49 ~aSet0(sbsmnsldt0(xS))|spl0_40),
% 0.16/0.49 inference(component_clause,[status(thm)],[f527])).
% 0.16/0.49 fof(f548,plain,(
% 0.16/0.49 $false|spl0_36),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f511,f268])).
% 0.16/0.49 fof(f549,plain,(
% 0.16/0.49 spl0_36),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f548])).
% 0.16/0.49 fof(f550,plain,(
% 0.16/0.49 $false|spl0_40),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f529,f263])).
% 0.16/0.49 fof(f551,plain,(
% 0.16/0.49 spl0_40),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f550])).
% 0.16/0.49 fof(f552,plain,(
% 0.16/0.49 $false|spl0_32),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f493,f222])).
% 0.16/0.49 fof(f553,plain,(
% 0.16/0.49 spl0_32),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f552])).
% 0.16/0.49 fof(f621,plain,(
% 0.16/0.49 spl0_58 <=> ~aDivisorOf0(X0,sz00)|~aInteger0(X0)|~aInteger0(sk0_0(X0,sz00))|X0=sz00|sk0_0(X0,sz00)=sz00),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f624,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(sz00)|~aDivisorOf0(X0,sz00)|~aInteger0(X0)|~aInteger0(sk0_0(X0,sz00))|X0=sz00|sk0_0(X0,sz00)=sz00)),
% 0.16/0.49 inference(resolution,[status(thm)],[f91,f83])).
% 0.16/0.49 fof(f625,plain,(
% 0.16/0.49 ~spl0_15|spl0_58),
% 0.16/0.49 inference(split_clause,[status(thm)],[f624,f411,f621])).
% 0.16/0.49 fof(f626,plain,(
% 0.16/0.49 ~aInteger0(sz10)|pd0_2(sz10)|spl0_11),
% 0.16/0.49 inference(resolution,[status(thm)],[f385,f259])).
% 0.16/0.49 fof(f627,plain,(
% 0.16/0.49 ~spl0_12|spl0_13|spl0_11),
% 0.16/0.49 inference(split_clause,[status(thm)],[f626,f386,f399,f383])).
% 0.16/0.49 fof(f665,plain,(
% 0.16/0.49 pd0_2(sz00)|~spl0_17|~spl0_13),
% 0.16/0.49 inference(backward_demodulation,[status(thm)],[f420,f400])).
% 0.16/0.49 fof(f706,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(smndt0(sz00))|~aDivisorOf0(X0,smndt0(sz10))|~isPrime0(X0)|~spl0_17)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f420,f337])).
% 0.16/0.49 fof(f707,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(smndt0(sz00))|~aDivisorOf0(X0,smndt0(sz00))|~isPrime0(X0)|~spl0_17)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f420,f706])).
% 0.16/0.49 fof(f717,plain,(
% 0.16/0.49 spl0_67 <=> ~aSet0(X0)|aSubsetOf0(xS,X0)|aInteger0(sk0_15(sk0_2(xS,X0)))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f720,plain,(
% 0.16/0.49 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|~aSet0(xS)|aInteger0(sk0_15(sk0_2(xS,X0))))),
% 0.16/0.49 inference(resolution,[status(thm)],[f127,f223])).
% 0.16/0.49 fof(f721,plain,(
% 0.16/0.49 spl0_67|~spl0_32),
% 0.16/0.49 inference(split_clause,[status(thm)],[f720,f717,f491])).
% 0.16/0.49 fof(f722,plain,(
% 0.16/0.49 spl0_68 <=> ~aSet0(X0)|aSubsetOf0(xS,X0)|~pd0_2(X1)|~aElementOf0(X1,sk0_2(xS,X0))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f725,plain,(
% 0.16/0.49 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(xS,X0)|~aSet0(xS)|~pd0_2(X1)|~aElementOf0(X1,sk0_2(xS,X0)))),
% 0.16/0.49 inference(resolution,[status(thm)],[f127,f286])).
% 0.16/0.49 fof(f726,plain,(
% 0.16/0.49 spl0_68|~spl0_32),
% 0.16/0.49 inference(split_clause,[status(thm)],[f725,f722,f491])).
% 0.16/0.49 fof(f727,plain,(
% 0.16/0.49 spl0_69 <=> ~aSet0(X0)|aSubsetOf0(xS,X0)|isPrime0(sk0_15(sk0_2(xS,X0)))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f730,plain,(
% 0.16/0.49 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|~aSet0(xS)|isPrime0(sk0_15(sk0_2(xS,X0))))),
% 0.16/0.49 inference(resolution,[status(thm)],[f127,f225])).
% 0.16/0.49 fof(f731,plain,(
% 0.16/0.49 spl0_69|~spl0_32),
% 0.16/0.49 inference(split_clause,[status(thm)],[f730,f727,f491])).
% 0.16/0.49 fof(f732,plain,(
% 0.16/0.49 spl0_70 <=> ~aSet0(X0)|aSubsetOf0(stldt0(sbsmnsldt0(xS)),X0)|~aElementOf0(sk0_2(stldt0(sbsmnsldt0(xS)),X0),sbsmnsldt0(xS))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f735,plain,(
% 0.16/0.49 ![X0]: (~aSet0(X0)|aSubsetOf0(stldt0(sbsmnsldt0(xS)),X0)|~aSet0(stldt0(sbsmnsldt0(xS)))|~aElementOf0(sk0_2(stldt0(sbsmnsldt0(xS)),X0),sbsmnsldt0(xS)))),
% 0.16/0.49 inference(resolution,[status(thm)],[f127,f270])).
% 0.16/0.49 fof(f736,plain,(
% 0.16/0.49 spl0_70|~spl0_36),
% 0.16/0.49 inference(split_clause,[status(thm)],[f735,f732,f509])).
% 0.16/0.49 fof(f737,plain,(
% 0.16/0.49 spl0_71 <=> ~aSet0(X0)|aSubsetOf0(stldt0(sbsmnsldt0(xS)),X0)|aInteger0(sk0_2(stldt0(sbsmnsldt0(xS)),X0))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f740,plain,(
% 0.16/0.49 ![X0]: (~aSet0(X0)|aSubsetOf0(stldt0(sbsmnsldt0(xS)),X0)|~aSet0(stldt0(sbsmnsldt0(xS)))|aInteger0(sk0_2(stldt0(sbsmnsldt0(xS)),X0)))),
% 0.16/0.49 inference(resolution,[status(thm)],[f127,f269])).
% 0.16/0.49 fof(f741,plain,(
% 0.16/0.49 spl0_71|~spl0_36),
% 0.16/0.49 inference(split_clause,[status(thm)],[f740,f737,f509])).
% 0.16/0.49 fof(f746,plain,(
% 0.16/0.49 spl0_72 <=> ~aSet0(X0)|aSubsetOf0(sbsmnsldt0(xS),X0)|aElementOf0(sk0_21(sk0_2(sbsmnsldt0(xS),X0)),xS)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f749,plain,(
% 0.16/0.49 ![X0]: (~aSet0(X0)|aSubsetOf0(sbsmnsldt0(xS),X0)|~aSet0(sbsmnsldt0(xS))|aElementOf0(sk0_21(sk0_2(sbsmnsldt0(xS),X0)),xS))),
% 0.16/0.49 inference(resolution,[status(thm)],[f127,f265])).
% 0.16/0.49 fof(f750,plain,(
% 0.16/0.49 spl0_72|~spl0_40),
% 0.16/0.49 inference(split_clause,[status(thm)],[f749,f746,f527])).
% 0.16/0.49 fof(f751,plain,(
% 0.16/0.49 spl0_73 <=> ~aSet0(X0)|aSubsetOf0(sbsmnsldt0(xS),X0)|~pd0_2(sk0_2(sbsmnsldt0(xS),X0))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f754,plain,(
% 0.16/0.49 ![X0]: (~aSet0(X0)|aSubsetOf0(sbsmnsldt0(xS),X0)|~aSet0(sbsmnsldt0(xS))|~pd0_2(sk0_2(sbsmnsldt0(xS),X0)))),
% 0.16/0.49 inference(resolution,[status(thm)],[f127,f287])).
% 0.16/0.49 fof(f755,plain,(
% 0.16/0.49 spl0_73|~spl0_40),
% 0.16/0.49 inference(split_clause,[status(thm)],[f754,f751,f527])).
% 0.16/0.49 fof(f756,plain,(
% 0.16/0.49 spl0_74 <=> ~aSet0(X0)|aSubsetOf0(sbsmnsldt0(xS),X0)|aElementOf0(sk0_2(sbsmnsldt0(xS),X0),sk0_21(sk0_2(sbsmnsldt0(xS),X0)))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f759,plain,(
% 0.16/0.49 ![X0]: (~aSet0(X0)|aSubsetOf0(sbsmnsldt0(xS),X0)|~aSet0(sbsmnsldt0(xS))|aElementOf0(sk0_2(sbsmnsldt0(xS),X0),sk0_21(sk0_2(sbsmnsldt0(xS),X0))))),
% 0.16/0.49 inference(resolution,[status(thm)],[f127,f266])).
% 0.16/0.49 fof(f760,plain,(
% 0.16/0.49 spl0_74|~spl0_40),
% 0.16/0.49 inference(split_clause,[status(thm)],[f759,f756,f527])).
% 0.16/0.49 fof(f761,plain,(
% 0.16/0.49 spl0_75 <=> ~aSet0(X0)|aSubsetOf0(sbsmnsldt0(xS),X0)|aInteger0(sk0_2(sbsmnsldt0(xS),X0))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f764,plain,(
% 0.16/0.49 ![X0]: (~aSet0(X0)|aSubsetOf0(sbsmnsldt0(xS),X0)|~aSet0(sbsmnsldt0(xS))|aInteger0(sk0_2(sbsmnsldt0(xS),X0)))),
% 0.16/0.49 inference(resolution,[status(thm)],[f127,f264])).
% 0.16/0.49 fof(f765,plain,(
% 0.16/0.49 spl0_75|~spl0_40),
% 0.16/0.49 inference(split_clause,[status(thm)],[f764,f761,f527])).
% 0.16/0.49 fof(f768,plain,(
% 0.16/0.49 spl0_76 <=> aSubsetOf0(X0,sbsmnsldt0(xS))|~aSet0(X0)|~aInteger0(sk0_2(X0,sbsmnsldt0(xS)))|~aElementOf0(X1,xS)|~aElementOf0(sk0_2(X0,sbsmnsldt0(xS)),X1)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f771,plain,(
% 0.16/0.49 ![X0,X1]: (~aSet0(sbsmnsldt0(xS))|aSubsetOf0(X0,sbsmnsldt0(xS))|~aSet0(X0)|~aInteger0(sk0_2(X0,sbsmnsldt0(xS)))|~aElementOf0(X1,xS)|~aElementOf0(sk0_2(X0,sbsmnsldt0(xS)),X1))),
% 0.16/0.49 inference(resolution,[status(thm)],[f128,f267])).
% 0.16/0.49 fof(f772,plain,(
% 0.16/0.49 ~spl0_40|spl0_76),
% 0.16/0.49 inference(split_clause,[status(thm)],[f771,f527,f768])).
% 0.16/0.49 fof(f773,plain,(
% 0.16/0.49 spl0_77 <=> aSubsetOf0(X0,stldt0(sbsmnsldt0(xS)))|~aSet0(X0)|~aInteger0(sk0_2(X0,stldt0(sbsmnsldt0(xS))))|aElementOf0(sk0_2(X0,stldt0(sbsmnsldt0(xS))),sbsmnsldt0(xS))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f776,plain,(
% 0.16/0.49 ![X0]: (~aSet0(stldt0(sbsmnsldt0(xS)))|aSubsetOf0(X0,stldt0(sbsmnsldt0(xS)))|~aSet0(X0)|~aInteger0(sk0_2(X0,stldt0(sbsmnsldt0(xS))))|aElementOf0(sk0_2(X0,stldt0(sbsmnsldt0(xS))),sbsmnsldt0(xS)))),
% 0.16/0.49 inference(resolution,[status(thm)],[f128,f271])).
% 0.16/0.49 fof(f777,plain,(
% 0.16/0.49 ~spl0_36|spl0_77),
% 0.16/0.49 inference(split_clause,[status(thm)],[f776,f509,f773])).
% 0.16/0.49 fof(f885,plain,(
% 0.16/0.49 spl0_98 <=> aElementOf0(sz00,sbsmnsldt0(xS))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f886,plain,(
% 0.16/0.49 aElementOf0(sz00,sbsmnsldt0(xS))|~spl0_98),
% 0.16/0.49 inference(component_clause,[status(thm)],[f885])).
% 0.16/0.49 fof(f928,plain,(
% 0.16/0.49 ~pd0_2(sz00)|~spl0_98),
% 0.16/0.49 inference(resolution,[status(thm)],[f886,f287])).
% 0.16/0.49 fof(f929,plain,(
% 0.16/0.49 $false|~spl0_17|~spl0_13|~spl0_98),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f928,f665])).
% 0.16/0.49 fof(f930,plain,(
% 0.16/0.49 ~spl0_17|~spl0_13|~spl0_98),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f929])).
% 0.16/0.49 fof(f931,plain,(
% 0.16/0.49 spl0_100 <=> aInteger0(smndt0(sz10))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f933,plain,(
% 0.16/0.49 ~aInteger0(smndt0(sz10))|spl0_100),
% 0.16/0.49 inference(component_clause,[status(thm)],[f931])).
% 0.16/0.49 fof(f934,plain,(
% 0.16/0.49 spl0_101 <=> ~aDivisorOf0(X0,smndt0(sz10))|~isPrime0(X0)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f935,plain,(
% 0.16/0.49 ![X0]: (~aDivisorOf0(X0,smndt0(sz10))|~isPrime0(X0)|~spl0_101)),
% 0.16/0.49 inference(component_clause,[status(thm)],[f934])).
% 0.16/0.49 fof(f937,plain,(
% 0.16/0.49 ~spl0_100|spl0_101),
% 0.16/0.49 inference(split_clause,[status(thm)],[f337,f931,f934])).
% 0.16/0.49 fof(f986,plain,(
% 0.16/0.49 spl0_107 <=> ~aInteger0(sk0_2(X0,sbsmnsldt0(xS)))|pd0_3(X1,sk0_2(X0,sbsmnsldt0(xS)))|aSubsetOf0(X0,sbsmnsldt0(xS))|~aSet0(X0)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f989,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(sk0_2(X0,sbsmnsldt0(xS)))|pd0_3(X1,sk0_2(X0,sbsmnsldt0(xS)))|~aSet0(sbsmnsldt0(xS))|aSubsetOf0(X0,sbsmnsldt0(xS))|~aSet0(X0))),
% 0.16/0.49 inference(resolution,[status(thm)],[f262,f128])).
% 0.16/0.49 fof(f990,plain,(
% 0.16/0.49 spl0_107|~spl0_40),
% 0.16/0.49 inference(split_clause,[status(thm)],[f989,f986,f527])).
% 0.16/0.49 fof(f1043,plain,(
% 0.16/0.49 spl0_112 <=> aInteger0(sk0_22)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1045,plain,(
% 0.16/0.49 ~aInteger0(sk0_22)|spl0_112),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1043])).
% 0.16/0.49 fof(f1052,plain,(
% 0.16/0.49 ~aElementOf0(sk0_22,sbsmnsldt0(xS))|~spl0_8),
% 0.16/0.49 inference(resolution,[status(thm)],[f323,f270])).
% 0.16/0.49 fof(f1053,plain,(
% 0.16/0.49 aInteger0(sk0_22)|~spl0_8),
% 0.16/0.49 inference(resolution,[status(thm)],[f323,f269])).
% 0.16/0.49 fof(f1054,plain,(
% 0.16/0.49 $false|spl0_112|~spl0_8),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1053,f1045])).
% 0.16/0.49 fof(f1055,plain,(
% 0.16/0.49 spl0_112|~spl0_8),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f1054])).
% 0.16/0.49 fof(f1056,plain,(
% 0.16/0.49 ~aInteger0(sz10)|spl0_100),
% 0.16/0.49 inference(resolution,[status(thm)],[f933,f51])).
% 0.16/0.49 fof(f1057,plain,(
% 0.16/0.49 ~spl0_12|spl0_100),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1056,f386,f931])).
% 0.16/0.49 fof(f1071,plain,(
% 0.16/0.49 ~aInteger0(sz10)|aInteger0(sk0_22)|~spl0_10),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f329,f51])).
% 0.16/0.49 fof(f1072,plain,(
% 0.16/0.49 ~spl0_12|spl0_112|~spl0_10),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1071,f386,f1043,f328])).
% 0.16/0.49 fof(f1120,plain,(
% 0.16/0.49 spl0_118 <=> isPrime0(sk0_18(smndt0(sz10)))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1122,plain,(
% 0.16/0.49 ~isPrime0(sk0_18(smndt0(sz10)))|spl0_118),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1120])).
% 0.16/0.49 fof(f1123,plain,(
% 0.16/0.49 spl0_119 <=> pd0_2(smndt0(sz10))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1124,plain,(
% 0.16/0.49 pd0_2(smndt0(sz10))|~spl0_119),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1123])).
% 0.16/0.49 fof(f1126,plain,(
% 0.16/0.49 ~isPrime0(sk0_18(smndt0(sz10)))|~aInteger0(smndt0(sz10))|pd0_2(smndt0(sz10))|~spl0_101),
% 0.16/0.49 inference(resolution,[status(thm)],[f935,f258])).
% 0.16/0.49 fof(f1127,plain,(
% 0.16/0.49 ~spl0_118|~spl0_100|spl0_119|~spl0_101),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1126,f1120,f931,f1123,f934])).
% 0.16/0.49 fof(f1206,plain,(
% 0.16/0.49 spl0_133 <=> ~aInteger0(X0)|~aInteger0(sk0_15(X1))|sk0_15(X1)=sz00|sdteqdtlpzmzozddtrp0(X0,sz00,sk0_15(X1))|~aElementOf0(X1,xS)|~aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(X1)))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1209,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|~aInteger0(sz00)|~aInteger0(sk0_15(X1))|sk0_15(X1)=sz00|sdteqdtlpzmzozddtrp0(X0,sz00,sk0_15(X1))|~aElementOf0(X1,xS)|~aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(X1))))),
% 0.16/0.49 inference(resolution,[status(thm)],[f96,f230])).
% 0.16/0.49 fof(f1210,plain,(
% 0.16/0.49 spl0_133|~spl0_15),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1209,f1206,f411])).
% 0.16/0.49 fof(f1219,plain,(
% 0.16/0.49 spl0_135 <=> ~aInteger0(X0)|~aInteger0(sk0_15(X1))|sk0_15(X1)=sz00|~sdteqdtlpzmzozddtrp0(X0,sz00,sk0_15(X1))|~aElementOf0(X1,xS)|~aInteger0(X0)|aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(X1)))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1222,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|~aInteger0(sz00)|~aInteger0(sk0_15(X1))|sk0_15(X1)=sz00|~sdteqdtlpzmzozddtrp0(X0,sz00,sk0_15(X1))|~aElementOf0(X1,xS)|~aInteger0(X0)|aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz00,sk0_15(X1))))),
% 0.16/0.49 inference(resolution,[status(thm)],[f95,f233])).
% 0.16/0.49 fof(f1223,plain,(
% 0.16/0.49 spl0_135|~spl0_15),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1222,f1219,f411])).
% 0.16/0.49 fof(f1274,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|X0=sz10|X0=smndt0(sz10)|~aInteger0(X0)|~pd0_2(X0)|~isPrime0(sk0_1(X0)))),
% 0.16/0.49 inference(resolution,[status(thm)],[f113,f398])).
% 0.16/0.49 fof(f1275,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|X0=sz10|X0=smndt0(sz10)|~pd0_2(X0)|~isPrime0(sk0_1(X0)))),
% 0.16/0.49 inference(duplicate_literals_removal,[status(esa)],[f1274])).
% 0.16/0.49 fof(f1276,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|X0=sz10|X0=smndt0(sz10)|~pd0_2(X0))),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1275,f114])).
% 0.16/0.49 fof(f1375,plain,(
% 0.16/0.49 spl0_148 <=> ~aSubsetOf0(X0,cS1395)|~aInteger0(X2)|~aElementOf0(X2,X0)|~aSubsetOf0(X0,cS1395)|aInteger0(X2)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1378,plain,(
% 0.16/0.49 spl0_149 <=> ~aSubsetOf0(X1,cS1395)|~aSubsetOf0(X1,cS1395)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1379,plain,(
% 0.16/0.49 ![X0]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X0,cS1395)|~spl0_149)),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1378])).
% 0.16/0.49 fof(f1381,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|~aInteger0(X2)|~aElementOf0(X2,X0)|~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|aInteger0(X2))),
% 0.16/0.49 inference(resolution,[status(thm)],[f341,f339])).
% 0.16/0.49 fof(f1382,plain,(
% 0.16/0.49 spl0_148|spl0_149),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1381,f1375,f1378])).
% 0.16/0.49 fof(f1383,plain,(
% 0.16/0.49 ![X0]: (~aSubsetOf0(X0,cS1395)|~spl0_149)),
% 0.16/0.49 inference(duplicate_literals_removal,[status(esa)],[f1379])).
% 0.16/0.49 fof(f1394,plain,(
% 0.16/0.49 ~aElementOf0(sz10,stldt0(sbsmnsldt0(xS)))|~spl0_9|spl0_8),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f326,f324])).
% 0.16/0.49 fof(f1395,plain,(
% 0.16/0.49 spl0_150 <=> aElementOf0(sz10,sbsmnsldt0(xS))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1396,plain,(
% 0.16/0.49 aElementOf0(sz10,sbsmnsldt0(xS))|~spl0_150),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1395])).
% 0.16/0.49 fof(f1397,plain,(
% 0.16/0.49 ~aElementOf0(sz10,sbsmnsldt0(xS))|spl0_150),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1395])).
% 0.16/0.49 fof(f1398,plain,(
% 0.16/0.49 ~aInteger0(sz10)|aElementOf0(sz10,sbsmnsldt0(xS))|~spl0_9|spl0_8),
% 0.16/0.49 inference(resolution,[status(thm)],[f1394,f271])).
% 0.16/0.49 fof(f1399,plain,(
% 0.16/0.49 ~spl0_12|spl0_150|~spl0_9|spl0_8),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1398,f386,f1395,f325,f322])).
% 0.16/0.49 fof(f1438,plain,(
% 0.16/0.49 spl0_155 <=> aElementOf0(sk0_22,sbsmnsldt0(xS))),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1439,plain,(
% 0.16/0.49 aElementOf0(sk0_22,sbsmnsldt0(xS))|~spl0_155),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1438])).
% 0.16/0.49 fof(f1446,plain,(
% 0.16/0.49 pd0_2(sk0_22)|~spl0_10|~spl0_119),
% 0.16/0.49 inference(backward_demodulation,[status(thm)],[f329,f1124])).
% 0.16/0.49 fof(f1470,plain,(
% 0.16/0.49 ~aInteger0(sk0_22)|aElementOf0(sk0_22,sbsmnsldt0(xS))|spl0_8),
% 0.16/0.49 inference(resolution,[status(thm)],[f324,f271])).
% 0.16/0.49 fof(f1471,plain,(
% 0.16/0.49 ~spl0_112|spl0_155|spl0_8),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1470,f1043,f1438,f322])).
% 0.16/0.49 fof(f1479,plain,(
% 0.16/0.49 spl0_158 <=> ~aInteger0(X0)),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1480,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|~spl0_158)),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1479])).
% 0.16/0.49 fof(f1482,plain,(
% 0.16/0.49 spl0_159 <=> ~aInteger0(X1)|X1=sz00),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1483,plain,(
% 0.16/0.49 ![X0]: (~aInteger0(X0)|X0=sz00|~spl0_159)),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1482])).
% 0.16/0.49 fof(f1485,plain,(
% 0.16/0.49 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|X1=sz00|~spl0_149)),
% 0.16/0.49 inference(backward_subsumption_resolution,[status(thm)],[f217,f1383])).
% 0.16/0.49 fof(f1486,plain,(
% 0.16/0.49 spl0_158|spl0_159|~spl0_149),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1485,f1479,f1482,f1378])).
% 0.16/0.49 fof(f1510,plain,(
% 0.16/0.49 sz10=sz00|~spl0_159),
% 0.16/0.49 inference(resolution,[status(thm)],[f49,f1483])).
% 0.16/0.49 fof(f1511,plain,(
% 0.16/0.49 spl0_17|~spl0_159),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1510,f419,f1482])).
% 0.16/0.49 fof(f1512,plain,(
% 0.16/0.49 $false|~spl0_158),
% 0.16/0.49 inference(backward_subsumption_resolution,[status(thm)],[f49,f1480])).
% 0.16/0.50 fof(f1513,plain,(
% 0.16/0.50 ~spl0_158),
% 0.16/0.50 inference(contradiction_clause,[status(thm)],[f1512])).
% 0.16/0.50 fof(f1544,plain,(
% 0.16/0.50 spl0_160 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|aInteger0(sk0_3(xS,X1,X0))|aInteger0(sk0_15(sk0_3(xS,X1,X0)))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1547,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|~aSet0(xS)|aInteger0(sk0_3(xS,X1,X0))|aInteger0(sk0_15(sk0_3(xS,X1,X0))))),
% 0.16/0.50 inference(resolution,[status(thm)],[f142,f223])).
% 0.16/0.50 fof(f1548,plain,(
% 0.16/0.50 spl0_160|~spl0_32),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1547,f1544,f491])).
% 0.16/0.50 fof(f1549,plain,(
% 0.16/0.50 spl0_161 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|aInteger0(sk0_3(xS,X1,X0))|~pd0_2(X2)|~aElementOf0(X2,sk0_3(xS,X1,X0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1552,plain,(
% 0.16/0.50 ![X0,X1,X2]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|~aSet0(xS)|aInteger0(sk0_3(xS,X1,X0))|~pd0_2(X2)|~aElementOf0(X2,sk0_3(xS,X1,X0)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f142,f286])).
% 0.16/0.50 fof(f1553,plain,(
% 0.16/0.50 spl0_161|~spl0_32),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1552,f1549,f491])).
% 0.16/0.50 fof(f1554,plain,(
% 0.16/0.50 spl0_162 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|aInteger0(sk0_3(xS,X1,X0))|isPrime0(sk0_15(sk0_3(xS,X1,X0)))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1557,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|~aSet0(xS)|aInteger0(sk0_3(xS,X1,X0))|isPrime0(sk0_15(sk0_3(xS,X1,X0))))),
% 0.16/0.50 inference(resolution,[status(thm)],[f142,f225])).
% 0.16/0.50 fof(f1558,plain,(
% 0.16/0.50 spl0_162|~spl0_32),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1557,f1554,f491])).
% 0.16/0.50 fof(f1559,plain,(
% 0.16/0.50 spl0_163 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|stldt0(sbsmnsldt0(xS))=sdtbsmnsldt0(X0,X1)|aInteger0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0))|aInteger0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1562,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|stldt0(sbsmnsldt0(xS))=sdtbsmnsldt0(X0,X1)|~aSet0(stldt0(sbsmnsldt0(xS)))|aInteger0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0))|aInteger0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f142,f269])).
% 0.16/0.50 fof(f1563,plain,(
% 0.16/0.50 spl0_163|~spl0_36),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1562,f1559,f509])).
% 0.16/0.50 fof(f1564,plain,(
% 0.16/0.50 spl0_164 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|stldt0(sbsmnsldt0(xS))=sdtbsmnsldt0(X0,X1)|aInteger0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0))|~aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),sbsmnsldt0(xS))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1567,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|stldt0(sbsmnsldt0(xS))=sdtbsmnsldt0(X0,X1)|~aSet0(stldt0(sbsmnsldt0(xS)))|aInteger0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0))|~aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),sbsmnsldt0(xS)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f142,f270])).
% 0.16/0.50 fof(f1568,plain,(
% 0.16/0.50 spl0_164|~spl0_36),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1567,f1564,f509])).
% 0.16/0.50 fof(f1569,plain,(
% 0.16/0.50 spl0_165 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1572,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|~aSet0(sbsmnsldt0(xS))|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f142,f264])).
% 0.16/0.50 fof(f1573,plain,(
% 0.16/0.50 spl0_165|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1572,f1569,f527])).
% 0.16/0.50 fof(f1574,plain,(
% 0.16/0.50 spl0_166 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))|aElementOf0(sk0_21(sk0_3(sbsmnsldt0(xS),X1,X0)),xS)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1577,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|~aSet0(sbsmnsldt0(xS))|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))|aElementOf0(sk0_21(sk0_3(sbsmnsldt0(xS),X1,X0)),xS))),
% 0.16/0.50 inference(resolution,[status(thm)],[f142,f265])).
% 0.16/0.50 fof(f1578,plain,(
% 0.16/0.50 spl0_166|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1577,f1574,f527])).
% 0.16/0.50 fof(f1579,plain,(
% 0.16/0.50 spl0_167 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))|~pd0_2(sk0_3(sbsmnsldt0(xS),X1,X0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1582,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|~aSet0(sbsmnsldt0(xS))|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))|~pd0_2(sk0_3(sbsmnsldt0(xS),X1,X0)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f142,f287])).
% 0.16/0.50 fof(f1583,plain,(
% 0.16/0.50 spl0_167|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1582,f1579,f527])).
% 0.16/0.50 fof(f1584,plain,(
% 0.16/0.50 spl0_168 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),sk0_21(sk0_3(sbsmnsldt0(xS),X1,X0)))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1587,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|~aSet0(sbsmnsldt0(xS))|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),sk0_21(sk0_3(sbsmnsldt0(xS),X1,X0))))),
% 0.16/0.50 inference(resolution,[status(thm)],[f142,f266])).
% 0.16/0.50 fof(f1588,plain,(
% 0.16/0.50 spl0_168|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1587,f1584,f527])).
% 0.16/0.50 fof(f1591,plain,(
% 0.16/0.50 ~aInteger0(smndt0(sz10))|pd0_2(smndt0(sz10))|spl0_118),
% 0.16/0.50 inference(resolution,[status(thm)],[f1122,f259])).
% 0.16/0.50 fof(f1592,plain,(
% 0.16/0.50 ~spl0_100|spl0_119|spl0_118),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1591,f931,f1123,f1120])).
% 0.16/0.50 fof(f1595,plain,(
% 0.16/0.50 ~pd0_2(sz10)|~spl0_150),
% 0.16/0.50 inference(resolution,[status(thm)],[f1396,f287])).
% 0.16/0.50 fof(f1596,plain,(
% 0.16/0.50 $false|~spl0_13|~spl0_150),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1595,f400])).
% 0.16/0.50 fof(f1597,plain,(
% 0.16/0.50 ~spl0_13|~spl0_150),
% 0.16/0.50 inference(contradiction_clause,[status(thm)],[f1596])).
% 0.16/0.50 fof(f1598,plain,(
% 0.16/0.50 spl0_169 <=> aInteger0(smndt0(sz00))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1600,plain,(
% 0.16/0.50 ~aInteger0(smndt0(sz00))|spl0_169),
% 0.16/0.50 inference(component_clause,[status(thm)],[f1598])).
% 0.16/0.50 fof(f1601,plain,(
% 0.16/0.50 spl0_170 <=> ~aDivisorOf0(X0,smndt0(sz00))|~isPrime0(X0)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1604,plain,(
% 0.16/0.50 ~spl0_169|spl0_170|~spl0_17),
% 0.16/0.50 inference(split_clause,[status(thm)],[f707,f1598,f1601,f419])).
% 0.16/0.50 fof(f1614,plain,(
% 0.16/0.50 ~aInteger0(sz00)|spl0_169),
% 0.16/0.50 inference(resolution,[status(thm)],[f1600,f51])).
% 0.16/0.50 fof(f1615,plain,(
% 0.16/0.50 ~spl0_15|spl0_169),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1614,f411,f1598])).
% 0.16/0.50 fof(f1632,plain,(
% 0.16/0.50 ~pd0_2(sk0_22)|~spl0_155),
% 0.16/0.50 inference(resolution,[status(thm)],[f1439,f287])).
% 0.16/0.50 fof(f1633,plain,(
% 0.16/0.50 $false|~spl0_10|~spl0_119|~spl0_155),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1632,f1446])).
% 0.16/0.50 fof(f1634,plain,(
% 0.16/0.50 ~spl0_10|~spl0_119|~spl0_155),
% 0.16/0.50 inference(contradiction_clause,[status(thm)],[f1633])).
% 0.16/0.50 fof(f1650,plain,(
% 0.16/0.50 spl0_172 <=> pd0_2(sk0_22)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1653,plain,(
% 0.16/0.50 ~aInteger0(sk0_22)|sk0_22=sz10|~pd0_2(sk0_22)|spl0_10),
% 0.16/0.50 inference(resolution,[status(thm)],[f1276,f330])).
% 0.16/0.50 fof(f1654,plain,(
% 0.16/0.50 ~spl0_112|spl0_9|~spl0_172|spl0_10),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1653,f1043,f325,f1650,f328])).
% 0.16/0.50 fof(f1657,plain,(
% 0.16/0.50 spl0_173 <=> pd0_3(X0,sz10)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1660,plain,(
% 0.16/0.50 ![X0]: (~aInteger0(sz10)|pd0_3(X0,sz10)|spl0_150)),
% 0.16/0.50 inference(resolution,[status(thm)],[f262,f1397])).
% 0.16/0.50 fof(f1661,plain,(
% 0.16/0.50 ~spl0_12|spl0_173|spl0_150),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1660,f386,f1657,f1395])).
% 0.16/0.50 fof(f1662,plain,(
% 0.16/0.50 spl0_174 <=> ~aInteger0(sk0_3(sbsmnsldt0(xS),X0,X1))|pd0_3(X2,sk0_3(sbsmnsldt0(xS),X0,X1))|~aSubsetOf0(X1,cS1395)|~aSubsetOf0(X0,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X1,X0)|~aInteger0(sk0_3(sbsmnsldt0(xS),X0,X1))|~aElementOf0(sk0_3(sbsmnsldt0(xS),X0,X1),X0)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1665,plain,(
% 0.16/0.50 ![X0,X1,X2]: (~aInteger0(sk0_3(sbsmnsldt0(xS),X0,X1))|pd0_3(X2,sk0_3(sbsmnsldt0(xS),X0,X1))|~aSubsetOf0(X1,cS1395)|~aSubsetOf0(X0,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X1,X0)|~aSet0(sbsmnsldt0(xS))|~aInteger0(sk0_3(sbsmnsldt0(xS),X0,X1))|~aElementOf0(sk0_3(sbsmnsldt0(xS),X0,X1),X0))),
% 0.16/0.50 inference(resolution,[status(thm)],[f262,f141])).
% 0.16/0.50 fof(f1666,plain,(
% 0.16/0.50 spl0_174|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1665,f1662,f527])).
% 0.16/0.50 fof(f1667,plain,(
% 0.16/0.50 spl0_175 <=> ~aInteger0(sk0_3(sbsmnsldt0(xS),X0,X1))|pd0_3(X2,sk0_3(sbsmnsldt0(xS),X0,X1))|~aSubsetOf0(X1,cS1395)|~aSubsetOf0(X0,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X1,X0)|~aInteger0(sk0_3(sbsmnsldt0(xS),X0,X1))|~aElementOf0(sk0_3(sbsmnsldt0(xS),X0,X1),X1)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1670,plain,(
% 0.16/0.50 ![X0,X1,X2]: (~aInteger0(sk0_3(sbsmnsldt0(xS),X0,X1))|pd0_3(X2,sk0_3(sbsmnsldt0(xS),X0,X1))|~aSubsetOf0(X1,cS1395)|~aSubsetOf0(X0,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X1,X0)|~aSet0(sbsmnsldt0(xS))|~aInteger0(sk0_3(sbsmnsldt0(xS),X0,X1))|~aElementOf0(sk0_3(sbsmnsldt0(xS),X0,X1),X1))),
% 0.16/0.50 inference(resolution,[status(thm)],[f262,f140])).
% 0.16/0.50 fof(f1671,plain,(
% 0.16/0.50 spl0_175|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1670,f1667,f527])).
% 0.16/0.50 fof(f1752,plain,(
% 0.16/0.50 spl0_177 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|aElementOf0(sk0_3(xS,X1,X0),X0)|aElementOf0(sk0_3(xS,X1,X0),X1)|aInteger0(sk0_15(sk0_3(xS,X1,X0)))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1755,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|~aSet0(xS)|aElementOf0(sk0_3(xS,X1,X0),X0)|aElementOf0(sk0_3(xS,X1,X0),X1)|aInteger0(sk0_15(sk0_3(xS,X1,X0))))),
% 0.16/0.50 inference(resolution,[status(thm)],[f143,f223])).
% 0.16/0.50 fof(f1756,plain,(
% 0.16/0.50 spl0_177|~spl0_32),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1755,f1752,f491])).
% 0.16/0.50 fof(f1757,plain,(
% 0.16/0.50 spl0_178 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|aElementOf0(sk0_3(xS,X1,X0),X0)|aElementOf0(sk0_3(xS,X1,X0),X1)|~pd0_2(X2)|~aElementOf0(X2,sk0_3(xS,X1,X0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1760,plain,(
% 0.16/0.50 ![X0,X1,X2]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|~aSet0(xS)|aElementOf0(sk0_3(xS,X1,X0),X0)|aElementOf0(sk0_3(xS,X1,X0),X1)|~pd0_2(X2)|~aElementOf0(X2,sk0_3(xS,X1,X0)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f143,f286])).
% 0.16/0.50 fof(f1761,plain,(
% 0.16/0.50 spl0_178|~spl0_32),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1760,f1757,f491])).
% 0.16/0.50 fof(f1762,plain,(
% 0.16/0.50 spl0_179 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|aElementOf0(sk0_3(xS,X1,X0),X0)|aElementOf0(sk0_3(xS,X1,X0),X1)|isPrime0(sk0_15(sk0_3(xS,X1,X0)))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1765,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|xS=sdtbsmnsldt0(X0,X1)|~aSet0(xS)|aElementOf0(sk0_3(xS,X1,X0),X0)|aElementOf0(sk0_3(xS,X1,X0),X1)|isPrime0(sk0_15(sk0_3(xS,X1,X0))))),
% 0.16/0.50 inference(resolution,[status(thm)],[f143,f225])).
% 0.16/0.50 fof(f1766,plain,(
% 0.16/0.50 spl0_179|~spl0_32),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1765,f1762,f491])).
% 0.16/0.50 fof(f1767,plain,(
% 0.16/0.50 spl0_180 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|stldt0(sbsmnsldt0(xS))=sdtbsmnsldt0(X0,X1)|aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),X0)|aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),X1)|aInteger0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1770,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|stldt0(sbsmnsldt0(xS))=sdtbsmnsldt0(X0,X1)|~aSet0(stldt0(sbsmnsldt0(xS)))|aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),X0)|aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),X1)|aInteger0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f143,f269])).
% 0.16/0.50 fof(f1771,plain,(
% 0.16/0.50 spl0_180|~spl0_36),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1770,f1767,f509])).
% 0.16/0.50 fof(f1772,plain,(
% 0.16/0.50 spl0_181 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|stldt0(sbsmnsldt0(xS))=sdtbsmnsldt0(X0,X1)|aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),X0)|aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),X1)|~aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),sbsmnsldt0(xS))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1775,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|stldt0(sbsmnsldt0(xS))=sdtbsmnsldt0(X0,X1)|~aSet0(stldt0(sbsmnsldt0(xS)))|aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),X0)|aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),X1)|~aElementOf0(sk0_3(stldt0(sbsmnsldt0(xS)),X1,X0),sbsmnsldt0(xS)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f143,f270])).
% 0.16/0.50 fof(f1776,plain,(
% 0.16/0.50 spl0_181|~spl0_36),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1775,f1772,f509])).
% 0.16/0.50 fof(f1781,plain,(
% 0.16/0.50 spl0_182 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X0)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X1)|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1784,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|~aSet0(sbsmnsldt0(xS))|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X0)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X1)|aInteger0(sk0_3(sbsmnsldt0(xS),X1,X0)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f143,f264])).
% 0.16/0.50 fof(f1785,plain,(
% 0.16/0.50 spl0_182|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1784,f1781,f527])).
% 0.16/0.50 fof(f1786,plain,(
% 0.16/0.50 spl0_183 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X0)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X1)|aElementOf0(sk0_21(sk0_3(sbsmnsldt0(xS),X1,X0)),xS)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1789,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|~aSet0(sbsmnsldt0(xS))|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X0)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X1)|aElementOf0(sk0_21(sk0_3(sbsmnsldt0(xS),X1,X0)),xS))),
% 0.16/0.50 inference(resolution,[status(thm)],[f143,f265])).
% 0.16/0.50 fof(f1790,plain,(
% 0.16/0.50 spl0_183|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1789,f1786,f527])).
% 0.16/0.50 fof(f1791,plain,(
% 0.16/0.50 spl0_184 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X0)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X1)|~pd0_2(sk0_3(sbsmnsldt0(xS),X1,X0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1794,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|~aSet0(sbsmnsldt0(xS))|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X0)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X1)|~pd0_2(sk0_3(sbsmnsldt0(xS),X1,X0)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f143,f287])).
% 0.16/0.50 fof(f1795,plain,(
% 0.16/0.50 spl0_184|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1794,f1791,f527])).
% 0.16/0.50 fof(f1796,plain,(
% 0.16/0.50 spl0_185 <=> ~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X0)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X1)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),sk0_21(sk0_3(sbsmnsldt0(xS),X1,X0)))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1799,plain,(
% 0.16/0.50 ![X0,X1]: (~aSubsetOf0(X0,cS1395)|~aSubsetOf0(X1,cS1395)|sbsmnsldt0(xS)=sdtbsmnsldt0(X0,X1)|~aSet0(sbsmnsldt0(xS))|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X0)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),X1)|aElementOf0(sk0_3(sbsmnsldt0(xS),X1,X0),sk0_21(sk0_3(sbsmnsldt0(xS),X1,X0))))),
% 0.16/0.50 inference(resolution,[status(thm)],[f143,f266])).
% 0.16/0.50 fof(f1800,plain,(
% 0.16/0.50 spl0_185|~spl0_40),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1799,f1796,f527])).
% 0.16/0.50 fof(f1821,plain,(
% 0.16/0.50 spl0_186 <=> pd0_3(X0,sk0_22)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1822,plain,(
% 0.16/0.50 ![X0]: (pd0_3(X0,sk0_22)|~spl0_186)),
% 0.16/0.50 inference(component_clause,[status(thm)],[f1821])).
% 0.16/0.50 fof(f1824,plain,(
% 0.16/0.50 ![X0]: (~aInteger0(sk0_22)|pd0_3(X0,sk0_22)|~spl0_8)),
% 0.16/0.50 inference(resolution,[status(thm)],[f1052,f262])).
% 0.16/0.50 fof(f1825,plain,(
% 0.16/0.50 ~spl0_112|spl0_186|~spl0_8),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1824,f1043,f1821,f322])).
% 0.16/0.50 fof(f1826,plain,(
% 0.16/0.50 ![X0]: (~aDivisorOf0(X0,sk0_22)|~isPrime0(X0)|~spl0_186)),
% 0.16/0.50 inference(resolution,[status(thm)],[f1822,f290])).
% 0.16/0.50 fof(f1832,plain,(
% 0.16/0.50 spl0_187 <=> isPrime0(sk0_18(sk0_22))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1834,plain,(
% 0.16/0.50 ~isPrime0(sk0_18(sk0_22))|spl0_187),
% 0.16/0.50 inference(component_clause,[status(thm)],[f1832])).
% 0.16/0.50 fof(f1835,plain,(
% 0.16/0.50 ~isPrime0(sk0_18(sk0_22))|~aInteger0(sk0_22)|pd0_2(sk0_22)|~spl0_186),
% 0.16/0.50 inference(resolution,[status(thm)],[f1826,f258])).
% 0.16/0.50 fof(f1836,plain,(
% 0.16/0.50 ~spl0_187|~spl0_112|spl0_172|~spl0_186),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1835,f1832,f1043,f1650,f1821])).
% 0.16/0.50 fof(f1837,plain,(
% 0.16/0.50 ~aInteger0(sk0_22)|pd0_2(sk0_22)|spl0_187),
% 0.16/0.50 inference(resolution,[status(thm)],[f1834,f259])).
% 0.16/0.50 fof(f1838,plain,(
% 0.16/0.50 ~spl0_112|spl0_172|spl0_187),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1837,f1043,f1650,f1832])).
% 0.16/0.50 fof(f1839,plain,(
% 0.16/0.50 $false),
% 0.16/0.50 inference(sat_refutation,[status(thm)],[f331,f332,f333,f403,f407,f423,f429,f549,f551,f553,f625,f627,f721,f726,f731,f736,f741,f750,f755,f760,f765,f772,f777,f930,f937,f990,f1055,f1057,f1072,f1127,f1210,f1223,f1382,f1399,f1471,f1486,f1511,f1513,f1548,f1553,f1558,f1563,f1568,f1573,f1578,f1583,f1588,f1592,f1597,f1604,f1615,f1634,f1654,f1661,f1666,f1671,f1756,f1761,f1766,f1771,f1776,f1785,f1790,f1795,f1800,f1825,f1836,f1838])).
% 0.16/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.50 % Elapsed time: 0.184189 seconds
% 0.16/0.50 % CPU time: 1.312562 seconds
% 0.16/0.50 % Total memory used: 79.768 MB
% 0.16/0.50 % Net memory used: 78.335 MB
%------------------------------------------------------------------------------