TSTP Solution File: NUM452+6 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM452+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:29:12 EDT 2023
% Result : Theorem 3.24s 0.83s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM452+6 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n015.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 10:09:04 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 3.24/0.83 % Refutation found
% 3.24/0.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.24/0.83 % SZS output start CNFRefutation for theBenchmark
% 3.24/0.83 fof(f2,axiom,(
% 3.24/0.83 aInteger0(sz00) ),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f3,axiom,(
% 3.24/0.83 aInteger0(sz10) ),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f4,axiom,(
% 3.24/0.83 (! [W0] :( aInteger0(W0)=> aInteger0(smndt0(W0)) ) )),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f7,axiom,(
% 3.24/0.83 (! [W0,W1,W2] :( ( aInteger0(W0)& aInteger0(W1)& aInteger0(W2) )=> sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ) )),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f8,axiom,(
% 3.24/0.83 (! [W0,W1] :( ( aInteger0(W0)& aInteger0(W1) )=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) )),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f9,axiom,(
% 3.24/0.83 (! [W0] :( aInteger0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f10,axiom,(
% 3.24/0.83 (! [W0] :( aInteger0(W0)=> ( sdtpldt0(W0,smndt0(W0)) = sz00& sz00 = sdtpldt0(smndt0(W0),W0) ) ) )),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f13,axiom,(
% 3.24/0.83 (! [W0] :( aInteger0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f15,axiom,(
% 3.24/0.83 (! [W0] :( aInteger0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f16,axiom,(
% 3.24/0.83 (! [W0] :( aInteger0(W0)=> ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)& smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) )),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f46,hypothesis,(
% 3.24/0.83 ( aInteger0(xp)& xp != sz00& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))& (! [W0] :( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))=> ( aInteger0(W0)& (? [W1] :( aInteger0(W1)& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) ))& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))& sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )& ( ( aInteger0(W0)& ( (? [W1] :( aInteger0(W1)& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) ))| aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))| sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ))& aSet0(sbsmnsldt0(xS))& (! [W0] :( aElementOf0(W0,sbsmnsldt0(xS))<=> ( aInteger0(W0)& (? [W1] :( aElementOf0(W1,xS)& aElementOf0(W0,W1) ) )) ))& (! [W0] :( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<=> ( aInteger0(W0)& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) ))& (! [W0] :( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))=> aElementOf0(W0,stldt0(sbsmnsldt0(xS))) ))& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ) ),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f47,conjecture,(
% 3.24/0.83 ( ( (? [W0] :( aInteger0(W0)& sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) ))| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)| aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )& ( (? [W0] :( aInteger0(W0)& sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ))| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)| aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ) ),
% 3.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.24/0.83 fof(f48,negated_conjecture,(
% 3.24/0.83 ~(( ( (? [W0] :( aInteger0(W0)& sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) ))| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)| aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )& ( (? [W0] :( aInteger0(W0)& sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ))| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)| aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ) )),
% 3.24/0.83 inference(negated_conjecture,[status(cth)],[f47])).
% 3.24/0.83 fof(f52,plain,(
% 3.24/0.83 aInteger0(sz00)),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f2])).
% 3.24/0.84 fof(f53,plain,(
% 3.24/0.84 aInteger0(sz10)),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f3])).
% 3.24/0.84 fof(f54,plain,(
% 3.24/0.84 ![W0]: (~aInteger0(W0)|aInteger0(smndt0(W0)))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 3.24/0.84 fof(f55,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|aInteger0(smndt0(X0)))),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f54])).
% 3.24/0.84 fof(f60,plain,(
% 3.24/0.84 ![W0,W1,W2]: (((~aInteger0(W0)|~aInteger0(W1))|~aInteger0(W2))|sdtpldt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtpldt0(W0,W1),W2))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 3.24/0.84 fof(f61,plain,(
% 3.24/0.84 ![X0,X1,X2]: (~aInteger0(X0)|~aInteger0(X1)|~aInteger0(X2)|sdtpldt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtpldt0(X0,X1),X2))),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f60])).
% 3.24/0.84 fof(f62,plain,(
% 3.24/0.84 ![W0,W1]: ((~aInteger0(W0)|~aInteger0(W1))|sdtpldt0(W0,W1)=sdtpldt0(W1,W0))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.24/0.84 fof(f63,plain,(
% 3.24/0.84 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0))),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f62])).
% 3.24/0.84 fof(f64,plain,(
% 3.24/0.84 ![W0]: (~aInteger0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.24/0.84 fof(f65,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|sdtpldt0(X0,sz00)=X0)),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f64])).
% 3.24/0.84 fof(f67,plain,(
% 3.24/0.84 ![W0]: (~aInteger0(W0)|(sdtpldt0(W0,smndt0(W0))=sz00&sz00=sdtpldt0(smndt0(W0),W0)))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 3.24/0.84 fof(f68,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|sdtpldt0(X0,smndt0(X0))=sz00)),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f67])).
% 3.24/0.84 fof(f74,plain,(
% 3.24/0.84 ![W0]: (~aInteger0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 3.24/0.84 fof(f75,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|sdtasdt0(X0,sz10)=X0)),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f74])).
% 3.24/0.84 fof(f80,plain,(
% 3.24/0.84 ![W0]: (~aInteger0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 3.24/0.84 fof(f81,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f80])).
% 3.24/0.84 fof(f83,plain,(
% 3.24/0.84 ![W0]: (~aInteger0(W0)|(sdtasdt0(smndt0(sz10),W0)=smndt0(W0)&smndt0(W0)=sdtasdt0(W0,smndt0(sz10))))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 3.24/0.84 fof(f85,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|smndt0(X0)=sdtasdt0(X0,smndt0(sz10)))),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f83])).
% 3.24/0.84 fof(f316,plain,(
% 3.24/0.84 (((((((aInteger0(xp)&~xp=sz00)&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&(![W0]: ((~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|(((aInteger0(W0)&(?[W1]: (aInteger0(W1)&sdtasdt0(xp,W1)=sdtpldt0(W0,smndt0(sz10)))))&aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(W0,sz10,xp)))&((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xp,W1)=sdtpldt0(W0,smndt0(sz10))))&~aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10))))&~sdteqdtlpzmzozddtrp0(W0,sz10,xp)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))))&aSet0(sbsmnsldt0(xS)))&(![W0]: (aElementOf0(W0,sbsmnsldt0(xS))<=>(aInteger0(W0)&(?[W1]: (aElementOf0(W1,xS)&aElementOf0(W0,W1)))))))&(![W0]: (aElementOf0(W0,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(W0)&~aElementOf0(W0,sbsmnsldt0(xS))))))&(![W0]: (~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|aElementOf0(W0,stldt0(sbsmnsldt0(xS))))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 3.24/0.84 fof(f317,plain,(
% 3.24/0.84 (((((((aInteger0(xp)&~xp=sz00)&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&(![W0]: ((~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|(((aInteger0(W0)&(?[W1]: (aInteger0(W1)&sdtasdt0(xp,W1)=sdtpldt0(W0,smndt0(sz10)))))&aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(W0,sz10,xp)))&((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xp,W1)=sdtpldt0(W0,smndt0(sz10))))&~aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10))))&~sdteqdtlpzmzozddtrp0(W0,sz10,xp)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))))&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))))))))&(![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,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|aElementOf0(W0,stldt0(sbsmnsldt0(xS))))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),
% 3.24/0.84 inference(NNF_transformation,[status(esa)],[f316])).
% 3.24/0.84 fof(f318,plain,(
% 3.24/0.84 (((((((aInteger0(xp)&~xp=sz00)&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&((![W0]: (~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|(((aInteger0(W0)&(?[W1]: (aInteger0(W1)&sdtasdt0(xp,W1)=sdtpldt0(W0,smndt0(sz10)))))&aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(W0,sz10,xp))))&(![W0]: ((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xp,W1)=sdtpldt0(W0,smndt0(sz10))))&~aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10))))&~sdteqdtlpzmzozddtrp0(W0,sz10,xp)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))))&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))))))))&((![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,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|aElementOf0(W0,stldt0(sbsmnsldt0(xS))))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),
% 3.24/0.84 inference(miniscoping,[status(esa)],[f317])).
% 3.24/0.84 fof(f319,plain,(
% 3.24/0.84 (((((((aInteger0(xp)&~xp=sz00)&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&((![W0]: (~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|(((aInteger0(W0)&(aInteger0(sk0_25(W0))&sdtasdt0(xp,sk0_25(W0))=sdtpldt0(W0,smndt0(sz10))))&aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(W0,sz10,xp))))&(![W0]: ((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xp,W1)=sdtpldt0(W0,smndt0(sz10))))&~aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10))))&~sdteqdtlpzmzozddtrp0(W0,sz10,xp)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))))&aSet0(sbsmnsldt0(xS)))&((![W0]: (~aElementOf0(W0,sbsmnsldt0(xS))|(aInteger0(W0)&(aElementOf0(sk0_26(W0),xS)&aElementOf0(W0,sk0_26(W0))))))&(![W0]: (aElementOf0(W0,sbsmnsldt0(xS))|(~aInteger0(W0)|(![W1]: (~aElementOf0(W1,xS)|~aElementOf0(W0,W1))))))))&((![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,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|aElementOf0(W0,stldt0(sbsmnsldt0(xS))))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),
% 3.24/0.84 inference(skolemization,[status(esa)],[f318])).
% 3.24/0.84 fof(f320,plain,(
% 3.24/0.84 aInteger0(xp)),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f319])).
% 3.24/0.84 fof(f321,plain,(
% 3.24/0.84 ~xp=sz00),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f319])).
% 3.24/0.84 fof(f341,plain,(
% 3.24/0.84 (((((![W0]: (~aInteger0(W0)|~sdtasdt0(xp,W0)=sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))))&~aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))))&~sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp))&~aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|((((![W0]: (~aInteger0(W0)|~sdtasdt0(xp,W0)=sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))))&~aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))))&~sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp))&~aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 3.24/0.84 fof(f342,plain,(
% 3.24/0.84 pd0_2=>((((![W0]: (~aInteger0(W0)|~sdtasdt0(xp,W0)=sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))))&~aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))))&~sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp))&~aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)))),
% 3.24/0.84 introduced(predicate_definition,[f341])).
% 3.24/0.84 fof(f343,plain,(
% 3.24/0.84 pd0_2|((((![W0]: (~aInteger0(W0)|~sdtasdt0(xp,W0)=sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))))&~aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))))&~sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp))&~aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)))),
% 3.24/0.84 inference(formula_renaming,[status(thm)],[f341,f342])).
% 3.24/0.84 fof(f344,plain,(
% 3.24/0.84 ![X0]: (pd0_2|~aInteger0(X0)|~sdtasdt0(xp,X0)=sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f343])).
% 3.24/0.84 fof(f357,plain,(
% 3.24/0.84 ~pd0_2|((((![W0]: (~aInteger0(W0)|~sdtasdt0(xp,W0)=sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))))&~aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))))&~sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp))&~aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)))),
% 3.24/0.84 inference(pre_NNF_transformation,[status(esa)],[f342])).
% 3.24/0.84 fof(f358,plain,(
% 3.24/0.84 ![X0]: (~pd0_2|~aInteger0(X0)|~sdtasdt0(xp,X0)=sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))),
% 3.24/0.84 inference(cnf_transformation,[status(esa)],[f357])).
% 3.24/0.84 fof(f393,plain,(
% 3.24/0.84 spl0_8 <=> pd0_2),
% 3.24/0.84 introduced(split_symbol_definition)).
% 3.24/0.84 fof(f396,plain,(
% 3.24/0.84 spl0_9 <=> ~aInteger0(X0)|~sdtasdt0(xp,X0)=sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
% 3.24/0.84 introduced(split_symbol_definition)).
% 3.24/0.84 fof(f397,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|~sdtasdt0(xp,X0)=sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))|~spl0_9)),
% 3.24/0.84 inference(component_clause,[status(thm)],[f396])).
% 3.24/0.84 fof(f399,plain,(
% 3.24/0.84 spl0_8|spl0_9),
% 3.24/0.84 inference(split_clause,[status(thm)],[f344,f393,f396])).
% 3.24/0.84 fof(f412,plain,(
% 3.24/0.84 spl0_13 <=> ~aInteger0(X0)|~sdtasdt0(xp,X0)=sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))),
% 3.24/0.84 introduced(split_symbol_definition)).
% 3.24/0.84 fof(f413,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|~sdtasdt0(xp,X0)=sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))|~spl0_13)),
% 3.24/0.84 inference(component_clause,[status(thm)],[f412])).
% 3.24/0.84 fof(f415,plain,(
% 3.24/0.84 ~spl0_8|spl0_13),
% 3.24/0.84 inference(split_clause,[status(thm)],[f358,f393,f412])).
% 3.24/0.84 fof(f456,plain,(
% 3.24/0.84 aInteger0(smndt0(xp))),
% 3.24/0.84 inference(resolution,[status(thm)],[f55,f320])).
% 3.24/0.84 fof(f457,plain,(
% 3.24/0.84 aInteger0(smndt0(sz10))),
% 3.24/0.84 inference(resolution,[status(thm)],[f55,f53])).
% 3.24/0.84 fof(f462,plain,(
% 3.24/0.84 sdtpldt0(xp,sz00)=xp),
% 3.24/0.84 inference(resolution,[status(thm)],[f65,f320])).
% 3.24/0.84 fof(f478,plain,(
% 3.24/0.84 sdtasdt0(xp,sz10)=xp),
% 3.24/0.84 inference(resolution,[status(thm)],[f75,f320])).
% 3.24/0.84 fof(f485,plain,(
% 3.24/0.84 sdtasdt0(smndt0(xp),sz00)=sz00),
% 3.24/0.84 inference(resolution,[status(thm)],[f81,f456])).
% 3.24/0.84 fof(f493,plain,(
% 3.24/0.84 sdtpldt0(smndt0(xp),smndt0(smndt0(xp)))=sz00),
% 3.24/0.84 inference(resolution,[status(thm)],[f68,f456])).
% 3.24/0.84 fof(f494,plain,(
% 3.24/0.84 sdtpldt0(xp,smndt0(xp))=sz00),
% 3.24/0.84 inference(resolution,[status(thm)],[f68,f320])).
% 3.24/0.84 fof(f503,plain,(
% 3.24/0.84 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|sdtpldt0(X0,sdtpldt0(sz10,X1))=sdtpldt0(sdtpldt0(X0,sz10),X1))),
% 3.24/0.84 inference(resolution,[status(thm)],[f61,f53])).
% 3.24/0.84 fof(f510,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|sdtpldt0(X0,xp)=sdtpldt0(xp,X0))),
% 3.24/0.84 inference(resolution,[status(thm)],[f63,f320])).
% 3.24/0.84 fof(f511,plain,(
% 3.24/0.84 ![X0]: (~aInteger0(X0)|sdtpldt0(X0,sz10)=sdtpldt0(sz10,X0))),
% 3.24/0.84 inference(resolution,[status(thm)],[f63,f53])).
% 3.24/0.84 fof(f522,plain,(
% 3.24/0.84 smndt0(xp)=sdtasdt0(xp,smndt0(sz10))),
% 3.24/0.84 inference(resolution,[status(thm)],[f85,f320])).
% 3.24/0.84 fof(f527,plain,(
% 3.24/0.84 sdtpldt0(sz10,xp)=sdtpldt0(xp,sz10)),
% 3.24/0.84 inference(resolution,[status(thm)],[f510,f53])).
% 3.24/0.84 fof(f530,plain,(
% 3.24/0.84 sdtpldt0(smndt0(xp),sz10)=sdtpldt0(sz10,smndt0(xp))),
% 3.24/0.84 inference(resolution,[status(thm)],[f511,f456])).
% 3.24/0.84 fof(f588,plain,(
% 3.24/0.84 spl0_18 <=> aInteger0(sz00)),
% 3.24/0.84 introduced(split_symbol_definition)).
% 3.24/0.84 fof(f590,plain,(
% 3.24/0.84 ~aInteger0(sz00)|spl0_18),
% 3.24/0.84 inference(component_clause,[status(thm)],[f588])).
% 3.24/0.84 fof(f599,plain,(
% 3.24/0.84 spl0_21 <=> aInteger0(smndt0(sz10))),
% 3.24/0.84 introduced(split_symbol_definition)).
% 3.24/0.84 fof(f601,plain,(
% 3.24/0.84 ~aInteger0(smndt0(sz10))|spl0_21),
% 3.24/0.84 inference(component_clause,[status(thm)],[f599])).
% 3.24/0.84 fof(f602,plain,(
% 3.24/0.84 spl0_22 <=> smndt0(sz10)=sz00),
% 3.24/0.84 introduced(split_symbol_definition)).
% 3.24/0.84 fof(f603,plain,(
% 3.24/0.84 smndt0(sz10)=sz00|~spl0_22),
% 3.24/0.84 inference(component_clause,[status(thm)],[f602])).
% 3.24/0.84 fof(f615,plain,(
% 3.24/0.84 spl0_23 <=> aInteger0(sz10)),
% 3.24/0.85 introduced(split_symbol_definition)).
% 3.24/0.85 fof(f617,plain,(
% 3.24/0.85 ~aInteger0(sz10)|spl0_23),
% 3.24/0.85 inference(component_clause,[status(thm)],[f615])).
% 3.24/0.85 fof(f653,plain,(
% 3.24/0.85 $false|spl0_21),
% 3.24/0.85 inference(forward_subsumption_resolution,[status(thm)],[f601,f457])).
% 3.24/0.85 fof(f654,plain,(
% 3.24/0.85 spl0_21),
% 3.24/0.85 inference(contradiction_clause,[status(thm)],[f653])).
% 3.24/0.85 fof(f656,plain,(
% 3.24/0.85 ![X0]: (~aInteger0(X0)|smndt0(X0)=sdtasdt0(X0,sz00)|~spl0_22)),
% 3.24/0.85 inference(backward_demodulation,[status(thm)],[f603,f85])).
% 3.24/0.85 fof(f833,plain,(
% 3.24/0.85 $false|spl0_23),
% 3.24/0.85 inference(forward_subsumption_resolution,[status(thm)],[f617,f53])).
% 3.24/0.85 fof(f834,plain,(
% 3.24/0.85 spl0_23),
% 3.24/0.85 inference(contradiction_clause,[status(thm)],[f833])).
% 3.24/0.85 fof(f1005,plain,(
% 3.24/0.85 sdtpldt0(sz10,smndt0(sz10))=sz00),
% 3.24/0.85 inference(resolution,[status(thm)],[f53,f68])).
% 3.24/0.85 fof(f1192,plain,(
% 3.24/0.85 $false|spl0_18),
% 3.24/0.85 inference(forward_subsumption_resolution,[status(thm)],[f52,f590])).
% 3.24/0.85 fof(f1193,plain,(
% 3.24/0.85 spl0_18),
% 3.24/0.85 inference(contradiction_clause,[status(thm)],[f1192])).
% 3.24/0.85 fof(f1485,plain,(
% 3.24/0.85 sdtpldt0(smndt0(xp),sz00)=smndt0(xp)),
% 3.24/0.85 inference(resolution,[status(thm)],[f456,f65])).
% 3.24/0.85 fof(f1833,plain,(
% 3.24/0.85 smndt0(smndt0(xp))=sdtasdt0(smndt0(xp),sz00)|~spl0_22),
% 3.24/0.85 inference(resolution,[status(thm)],[f656,f456])).
% 3.24/0.85 fof(f1834,plain,(
% 3.24/0.85 smndt0(smndt0(xp))=sz00|~spl0_22),
% 3.24/0.85 inference(forward_demodulation,[status(thm)],[f485,f1833])).
% 3.24/0.85 fof(f2081,plain,(
% 3.24/0.85 sdtpldt0(smndt0(xp),sz00)=sz00|~spl0_22),
% 3.24/0.85 inference(backward_demodulation,[status(thm)],[f1834,f493])).
% 3.24/0.85 fof(f2082,plain,(
% 3.24/0.85 smndt0(xp)=sz00|~spl0_22),
% 3.24/0.85 inference(forward_demodulation,[status(thm)],[f1485,f2081])).
% 3.24/0.85 fof(f2102,plain,(
% 3.24/0.85 sdtpldt0(xp,sz00)=sz00|~spl0_22),
% 3.24/0.85 inference(backward_demodulation,[status(thm)],[f2082,f494])).
% 3.24/0.85 fof(f2375,plain,(
% 3.24/0.85 xp=sz00|~spl0_22),
% 3.24/0.85 inference(forward_demodulation,[status(thm)],[f462,f2102])).
% 3.24/0.85 fof(f2376,plain,(
% 3.24/0.85 $false|~spl0_22),
% 3.24/0.85 inference(forward_subsumption_resolution,[status(thm)],[f2375,f321])).
% 3.24/0.85 fof(f2377,plain,(
% 3.24/0.85 ~spl0_22),
% 3.24/0.85 inference(contradiction_clause,[status(thm)],[f2376])).
% 3.24/0.85 fof(f3047,plain,(
% 3.24/0.85 ![X0]: (~aInteger0(X0)|sdtpldt0(X0,sdtpldt0(sz10,smndt0(sz10)))=sdtpldt0(sdtpldt0(X0,sz10),smndt0(sz10)))),
% 3.24/0.85 inference(resolution,[status(thm)],[f503,f457])).
% 3.24/0.85 fof(f3048,plain,(
% 3.24/0.85 ![X0]: (~aInteger0(X0)|sdtpldt0(X0,sz00)=sdtpldt0(sdtpldt0(X0,sz10),smndt0(sz10)))),
% 3.24/0.85 inference(forward_demodulation,[status(thm)],[f1005,f3047])).
% 3.24/0.85 fof(f3240,plain,(
% 3.24/0.85 sdtpldt0(smndt0(xp),sz00)=sdtpldt0(sdtpldt0(smndt0(xp),sz10),smndt0(sz10))),
% 3.24/0.85 inference(resolution,[status(thm)],[f3048,f456])).
% 3.24/0.85 fof(f3241,plain,(
% 3.24/0.85 smndt0(xp)=sdtpldt0(sdtpldt0(smndt0(xp),sz10),smndt0(sz10))),
% 3.24/0.85 inference(forward_demodulation,[status(thm)],[f1485,f3240])).
% 3.24/0.85 fof(f3242,plain,(
% 3.24/0.85 smndt0(xp)=sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
% 3.24/0.85 inference(forward_demodulation,[status(thm)],[f530,f3241])).
% 3.24/0.85 fof(f3243,plain,(
% 3.24/0.85 sdtpldt0(xp,sz00)=sdtpldt0(sdtpldt0(xp,sz10),smndt0(sz10))),
% 3.24/0.85 inference(resolution,[status(thm)],[f3048,f320])).
% 3.24/0.85 fof(f3244,plain,(
% 3.24/0.85 xp=sdtpldt0(sdtpldt0(xp,sz10),smndt0(sz10))),
% 3.24/0.85 inference(forward_demodulation,[status(thm)],[f462,f3243])).
% 3.24/0.85 fof(f3245,plain,(
% 3.24/0.85 xp=sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))),
% 3.24/0.85 inference(forward_demodulation,[status(thm)],[f527,f3244])).
% 3.24/0.85 fof(f3249,plain,(
% 3.24/0.85 ![X0]: (~aInteger0(X0)|~sdtasdt0(xp,X0)=xp|~spl0_13)),
% 3.24/0.85 inference(backward_demodulation,[status(thm)],[f3245,f413])).
% 3.24/0.85 fof(f3265,plain,(
% 3.24/0.85 ~aInteger0(sz10)|~spl0_13),
% 3.24/0.85 inference(resolution,[status(thm)],[f3249,f478])).
% 3.24/0.85 fof(f3266,plain,(
% 3.24/0.85 ~spl0_23|~spl0_13),
% 3.24/0.85 inference(split_clause,[status(thm)],[f3265,f615,f412])).
% 3.24/0.85 fof(f3489,plain,(
% 3.24/0.85 ![X0]: (~aInteger0(X0)|~sdtasdt0(xp,X0)=smndt0(xp)|~spl0_9)),
% 3.24/0.85 inference(forward_demodulation,[status(thm)],[f3242,f397])).
% 3.24/0.85 fof(f3490,plain,(
% 3.24/0.85 ~aInteger0(smndt0(sz10))|~spl0_9),
% 3.24/0.85 inference(resolution,[status(thm)],[f3489,f522])).
% 3.24/0.85 fof(f3491,plain,(
% 3.24/0.85 ~spl0_21|~spl0_9),
% 3.24/0.85 inference(split_clause,[status(thm)],[f3490,f599,f396])).
% 3.24/0.85 fof(f3511,plain,(
% 3.24/0.85 $false),
% 3.24/0.85 inference(sat_refutation,[status(thm)],[f399,f415,f654,f834,f1193,f2377,f3266,f3491])).
% 3.24/0.85 % SZS output end CNFRefutation for theBenchmark.p
% 3.24/0.85 % Elapsed time: 0.522448 seconds
% 3.24/0.85 % CPU time: 3.494027 seconds
% 3.24/0.85 % Memory used: 94.592 MB
%------------------------------------------------------------------------------