TSTP Solution File: NUM443+4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM443+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:34:42 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM443+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:47:05 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 aInteger0(sz00) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,axiom,(
% 0.13/0.37 aInteger0(sz10) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (! [W0] :( aInteger0(W0)=> aInteger0(smndt0(W0)) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,axiom,(
% 0.13/0.37 (! [W0,W1] :( ( aInteger0(W0)& aInteger0(W1) )=> aInteger0(sdtpldt0(W0,W1)) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f18,definition,(
% 0.13/0.37 (! [W0] :( aInteger0(W0)=> (! [W1] :( aDivisorOf0(W1,W0)<=> ( aInteger0(W1)& W1 != sz00& (? [W2] :( aInteger0(W2)& sdtasdt0(W1,W2) = W0 ) )) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f21,axiom,(
% 0.13/0.37 (! [W0,W1,W2] :( ( aInteger0(W0)& aInteger0(W1)& aInteger0(W2)& W2 != sz00 )=> ( sdteqdtlpzmzozddtrp0(W0,W1,W2)=> sdteqdtlpzmzozddtrp0(W1,W0,W2) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f22,axiom,(
% 0.13/0.37 (! [W0,W1,W2,W3] :( ( aInteger0(W0)& aInteger0(W1)& aInteger0(W2)& W2 != sz00& aInteger0(W3) )=> ( ( sdteqdtlpzmzozddtrp0(W0,W1,W2)& sdteqdtlpzmzozddtrp0(W1,W3,W2) )=> sdteqdtlpzmzozddtrp0(W0,W3,W2) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f34,definition,(
% 0.13/0.37 (! [W0,W1] :( ( aInteger0(W0)& aInteger0(W1)& W1 != sz00 )=> (! [W2] :( W2 = szAzrzSzezqlpdtcmdtrp0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aInteger0(W3)& sdteqdtlpzmzozddtrp0(W3,W0,W1) ) ) )) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f41,hypothesis,(
% 0.13/0.37 ( aInteger0(xa)& aInteger0(xq)& xq != sz00 ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f42,hypothesis,(
% 0.13/0.37 ( aInteger0(xb)& aInteger0(xc) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f43,conjecture,(
% 0.13/0.37 ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))& (! [W0] :( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))=> ( aInteger0(W0)& (? [W1] :( aInteger0(W1)& sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa)) ))& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))& sdteqdtlpzmzozddtrp0(W0,xa,xq) ) )& ( ( aInteger0(W0)& ( (? [W1] :( aInteger0(W1)& sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa)) ))| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))| sdteqdtlpzmzozddtrp0(W0,xa,xq) ) )=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ))& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))& (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xc,smndt0(xb)) ))& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))& sdteqdtlpzmzozddtrp0(xc,xb,xq) )=> ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))& (! [W0] :( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))=> ( aInteger0(W0)& (? [W1] :( aInteger0(W1)& sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa)) ))& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))& sdteqdtlpzmzozddtrp0(W0,xa,xq) ) )& ( ( aInteger0(W0)& ( (? [W1] :( aInteger0(W1)& sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa)) ))| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))| sdteqdtlpzmzozddtrp0(W0,xa,xq) ) )=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ))=> ( ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))| aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f44,negated_conjecture,(
% 0.13/0.37 ~(( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))& (! [W0] :( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))=> ( aInteger0(W0)& (? [W1] :( aInteger0(W1)& sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa)) ))& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))& sdteqdtlpzmzozddtrp0(W0,xa,xq) ) )& ( ( aInteger0(W0)& ( (? [W1] :( aInteger0(W1)& sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa)) ))| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))| sdteqdtlpzmzozddtrp0(W0,xa,xq) ) )=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ))& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))& (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xc,smndt0(xb)) ))& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))& sdteqdtlpzmzozddtrp0(xc,xb,xq) )=> ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))& (! [W0] :( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))=> ( aInteger0(W0)& (? [W1] :( aInteger0(W1)& sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa)) ))& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))& sdteqdtlpzmzozddtrp0(W0,xa,xq) ) )& ( ( aInteger0(W0)& ( (? [W1] :( aInteger0(W1)& sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa)) ))| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))| sdteqdtlpzmzozddtrp0(W0,xa,xq) ) )=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ))=> ( ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))| aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f43])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 aInteger0(sz00)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 aInteger0(sz10)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 ![W0]: (~aInteger0(W0)|aInteger0(smndt0(W0)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.38 fof(f51,plain,(
% 0.13/0.38 ![X0]: (~aInteger0(X0)|aInteger0(smndt0(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 ![W0,W1]: ((~aInteger0(W0)|~aInteger0(W1))|aInteger0(sdtpldt0(W0,W1)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|aInteger0(sdtpldt0(X0,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f52])).
% 0.13/0.38 fof(f84,plain,(
% 0.13/0.38 ![W0]: (~aInteger0(W0)|(![W1]: (aDivisorOf0(W1,W0)<=>((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0))))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.13/0.38 fof(f85,plain,(
% 0.13/0.38 ![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)))))))),
% 0.13/0.38 inference(NNF_transformation,[status(esa)],[f84])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 ![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)))))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f85])).
% 0.13/0.38 fof(f87,plain,(
% 0.13/0.38 ![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)))))))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f86])).
% 0.13/0.38 fof(f88,plain,(
% 0.13/0.38 ![X0,X1]: (~aInteger0(X0)|~aDivisorOf0(X1,X0)|aInteger0(X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f87])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 ![W0,W1,W2]: ((((~aInteger0(W0)|~aInteger0(W1))|~aInteger0(W2))|W2=sz00)|(~sdteqdtlpzmzozddtrp0(W0,W1,W2)|sdteqdtlpzmzozddtrp0(W1,W0,W2)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~aInteger0(X0)|~aInteger0(X1)|~aInteger0(X2)|X2=sz00|~sdteqdtlpzmzozddtrp0(X0,X1,X2)|sdteqdtlpzmzozddtrp0(X1,X0,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f99])).
% 0.13/0.38 fof(f101,plain,(
% 0.13/0.38 ![W0,W1,W2,W3]: (((((~aInteger0(W0)|~aInteger0(W1))|~aInteger0(W2))|W2=sz00)|~aInteger0(W3))|((~sdteqdtlpzmzozddtrp0(W0,W1,W2)|~sdteqdtlpzmzozddtrp0(W1,W3,W2))|sdteqdtlpzmzozddtrp0(W0,W3,W2)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.13/0.38 fof(f102,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~aInteger0(X0)|~aInteger0(X1)|~aInteger0(X2)|X2=sz00|~aInteger0(X3)|~sdteqdtlpzmzozddtrp0(X0,X1,X2)|~sdteqdtlpzmzozddtrp0(X1,X3,X2)|sdteqdtlpzmzozddtrp0(X0,X3,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f101])).
% 0.13/0.38 fof(f181,plain,(
% 0.13/0.38 ![W0,W1]: (((~aInteger0(W0)|~aInteger0(W1))|W1=sz00)|(![W2]: (W2=szAzrzSzezqlpdtcmdtrp0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aInteger0(W3)&sdteqdtlpzmzozddtrp0(W3,W0,W1))))))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.13/0.38 fof(f182,plain,(
% 0.13/0.38 ![W0,W1]: (((~aInteger0(W0)|~aInteger0(W1))|W1=sz00)|(![W2]: ((~W2=szAzrzSzezqlpdtcmdtrp0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aInteger0(W3)&sdteqdtlpzmzozddtrp0(W3,W0,W1)))&(aElementOf0(W3,W2)|(~aInteger0(W3)|~sdteqdtlpzmzozddtrp0(W3,W0,W1)))))))&(W2=szAzrzSzezqlpdtcmdtrp0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aInteger0(W3)|~sdteqdtlpzmzozddtrp0(W3,W0,W1)))&(aElementOf0(W3,W2)|(aInteger0(W3)&sdteqdtlpzmzozddtrp0(W3,W0,W1))))))))))),
% 0.13/0.38 inference(NNF_transformation,[status(esa)],[f181])).
% 0.13/0.38 fof(f183,plain,(
% 0.13/0.38 ![W0,W1]: (((~aInteger0(W0)|~aInteger0(W1))|W1=sz00)|((![W2]: (~W2=szAzrzSzezqlpdtcmdtrp0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aInteger0(W3)&sdteqdtlpzmzozddtrp0(W3,W0,W1))))&(![W3]: (aElementOf0(W3,W2)|(~aInteger0(W3)|~sdteqdtlpzmzozddtrp0(W3,W0,W1))))))))&(![W2]: (W2=szAzrzSzezqlpdtcmdtrp0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aInteger0(W3)|~sdteqdtlpzmzozddtrp0(W3,W0,W1)))&(aElementOf0(W3,W2)|(aInteger0(W3)&sdteqdtlpzmzozddtrp0(W3,W0,W1))))))))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f182])).
% 0.13/0.38 fof(f184,plain,(
% 0.13/0.38 ![W0,W1]: (((~aInteger0(W0)|~aInteger0(W1))|W1=sz00)|((![W2]: (~W2=szAzrzSzezqlpdtcmdtrp0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aInteger0(W3)&sdteqdtlpzmzozddtrp0(W3,W0,W1))))&(![W3]: (aElementOf0(W3,W2)|(~aInteger0(W3)|~sdteqdtlpzmzozddtrp0(W3,W0,W1))))))))&(![W2]: (W2=szAzrzSzezqlpdtcmdtrp0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_10(W2,W1,W0),W2)|(~aInteger0(sk0_10(W2,W1,W0))|~sdteqdtlpzmzozddtrp0(sk0_10(W2,W1,W0),W0,W1)))&(aElementOf0(sk0_10(W2,W1,W0),W2)|(aInteger0(sk0_10(W2,W1,W0))&sdteqdtlpzmzozddtrp0(sk0_10(W2,W1,W0),W0,W1)))))))))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f183])).
% 0.13/0.38 fof(f188,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~aInteger0(X0)|~aInteger0(X1)|X1=sz00|~X2=szAzrzSzezqlpdtcmdtrp0(X0,X1)|aElementOf0(X3,X2)|~aInteger0(X3)|~sdteqdtlpzmzozddtrp0(X3,X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f184])).
% 0.13/0.38 fof(f216,plain,(
% 0.13/0.38 aInteger0(xa)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.38 fof(f218,plain,(
% 0.13/0.38 ~xq=sz00),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.38 fof(f219,plain,(
% 0.13/0.38 aInteger0(xb)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f42])).
% 0.13/0.38 fof(f220,plain,(
% 0.13/0.38 aInteger0(xc)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f42])).
% 0.13/0.38 fof(f221,plain,(
% 0.13/0.38 (((((((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))&(![W0]: ((~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))|(((aInteger0(W0)&(?[W1]: (aInteger0(W1)&sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa)))))&aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&sdteqdtlpzmzozddtrp0(W0,xa,xq)))&((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa))))&~aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&~sdteqdtlpzmzozddtrp0(W0,xa,xq)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))))&~aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)))&aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))))&(?[W0]: (aInteger0(W0)&sdtasdt0(xq,W0)=sdtpldt0(xc,smndt0(xb)))))&aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb))))&sdteqdtlpzmzozddtrp0(xc,xb,xq))&((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))&(![W0]: ((~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))|(((aInteger0(W0)&(?[W1]: (aInteger0(W1)&sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa)))))&aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&sdteqdtlpzmzozddtrp0(W0,xa,xq)))&((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa))))&~aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&~sdteqdtlpzmzozddtrp0(W0,xa,xq)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))))&(aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))&~aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.13/0.38 fof(f222,plain,(
% 0.13/0.38 ((((((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))&((![W0]: (~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))|(((aInteger0(W0)&(?[W1]: (aInteger0(W1)&sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa)))))&aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&sdteqdtlpzmzozddtrp0(W0,xa,xq))))&(![W0]: ((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa))))&~aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&~sdteqdtlpzmzozddtrp0(W0,xa,xq)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))))&~aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)))&aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))))&(?[W0]: (aInteger0(W0)&sdtasdt0(xq,W0)=sdtpldt0(xc,smndt0(xb)))))&aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb))))&sdteqdtlpzmzozddtrp0(xc,xb,xq))&((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))&((![W0]: (~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))|(((aInteger0(W0)&(?[W1]: (aInteger0(W1)&sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa)))))&aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&sdteqdtlpzmzozddtrp0(W0,xa,xq))))&(![W0]: ((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa))))&~aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&~sdteqdtlpzmzozddtrp0(W0,xa,xq)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))))&(aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))&~aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f221])).
% 0.13/0.38 fof(f223,plain,(
% 0.13/0.38 ((((((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))&((![W0]: (~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))|(((aInteger0(W0)&(aInteger0(sk0_15(W0))&sdtasdt0(xq,sk0_15(W0))=sdtpldt0(W0,smndt0(xa))))&aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&sdteqdtlpzmzozddtrp0(W0,xa,xq))))&(![W0]: ((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa))))&~aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&~sdteqdtlpzmzozddtrp0(W0,xa,xq)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))))&~aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)))&aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))))&(aInteger0(sk0_16)&sdtasdt0(xq,sk0_16)=sdtpldt0(xc,smndt0(xb))))&aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb))))&sdteqdtlpzmzozddtrp0(xc,xb,xq))&((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))&((![W0]: (~aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))|(((aInteger0(W0)&(aInteger0(sk0_17(W0))&sdtasdt0(xq,sk0_17(W0))=sdtpldt0(W0,smndt0(xa))))&aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&sdteqdtlpzmzozddtrp0(W0,xa,xq))))&(![W0]: ((~aInteger0(W0)|(((![W1]: (~aInteger0(W1)|~sdtasdt0(xq,W1)=sdtpldt0(W0,smndt0(xa))))&~aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa))))&~sdteqdtlpzmzozddtrp0(W0,xa,xq)))|aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))))&(aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))&~aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f222])).
% 0.13/0.38 fof(f224,plain,(
% 0.13/0.38 aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f223])).
% 0.13/0.38 fof(f229,plain,(
% 0.13/0.38 ![X0]: (~aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))|sdteqdtlpzmzozddtrp0(X0,xa,xq))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f223])).
% 0.13/0.38 fof(f233,plain,(
% 0.13/0.38 ~aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f223])).
% 0.13/0.38 fof(f237,plain,(
% 0.13/0.38 aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f223])).
% 0.13/0.38 fof(f238,plain,(
% 0.13/0.38 sdteqdtlpzmzozddtrp0(xc,xb,xq)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f223])).
% 0.13/0.38 fof(f248,plain,(
% 0.13/0.38 aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f223])).
% 0.13/0.38 fof(f283,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~aInteger0(X0)|~aInteger0(X1)|X1=sz00|aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))|~aInteger0(X2)|~sdteqdtlpzmzozddtrp0(X2,X0,X1))),
% 0.13/0.38 inference(destructive_equality_resolution,[status(esa)],[f188])).
% 0.13/0.38 fof(f285,plain,(
% 0.13/0.38 spl0_0 <=> aInteger0(sdtpldt0(xc,smndt0(xb)))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f287,plain,(
% 0.13/0.38 ~aInteger0(sdtpldt0(xc,smndt0(xb)))|spl0_0),
% 0.13/0.38 inference(component_clause,[status(thm)],[f285])).
% 0.13/0.38 fof(f288,plain,(
% 0.13/0.38 spl0_1 <=> aInteger0(xq)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f291,plain,(
% 0.13/0.38 ~aInteger0(sdtpldt0(xc,smndt0(xb)))|aInteger0(xq)),
% 0.13/0.38 inference(resolution,[status(thm)],[f237,f88])).
% 0.13/0.38 fof(f292,plain,(
% 0.13/0.38 ~spl0_0|spl0_1),
% 0.13/0.38 inference(split_clause,[status(thm)],[f291,f285,f288])).
% 0.13/0.38 fof(f293,plain,(
% 0.13/0.38 spl0_2 <=> aInteger0(xc)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f295,plain,(
% 0.13/0.38 ~aInteger0(xc)|spl0_2),
% 0.13/0.38 inference(component_clause,[status(thm)],[f293])).
% 0.13/0.38 fof(f296,plain,(
% 0.13/0.38 spl0_3 <=> aInteger0(smndt0(xb))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f298,plain,(
% 0.13/0.38 ~aInteger0(smndt0(xb))|spl0_3),
% 0.13/0.38 inference(component_clause,[status(thm)],[f296])).
% 0.13/0.38 fof(f299,plain,(
% 0.13/0.38 ~aInteger0(xc)|~aInteger0(smndt0(xb))|spl0_0),
% 0.13/0.38 inference(resolution,[status(thm)],[f287,f53])).
% 0.13/0.38 fof(f300,plain,(
% 0.13/0.38 ~spl0_2|~spl0_3|spl0_0),
% 0.13/0.38 inference(split_clause,[status(thm)],[f299,f293,f296,f285])).
% 0.13/0.38 fof(f301,plain,(
% 0.13/0.38 ~aInteger0(xb)|spl0_3),
% 0.13/0.38 inference(resolution,[status(thm)],[f298,f51])).
% 0.13/0.38 fof(f302,plain,(
% 0.13/0.38 $false|spl0_3),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f301,f219])).
% 0.13/0.38 fof(f303,plain,(
% 0.13/0.38 spl0_3),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f302])).
% 0.13/0.38 fof(f304,plain,(
% 0.13/0.38 $false|spl0_2),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f295,f220])).
% 0.13/0.38 fof(f305,plain,(
% 0.13/0.38 spl0_2),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f304])).
% 0.13/0.38 fof(f327,plain,(
% 0.13/0.38 sdteqdtlpzmzozddtrp0(xc,xa,xq)),
% 0.13/0.38 inference(resolution,[status(thm)],[f229,f248])).
% 0.13/0.38 fof(f328,plain,(
% 0.13/0.38 spl0_7 <=> aInteger0(xb)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f330,plain,(
% 0.13/0.38 ~aInteger0(xb)|spl0_7),
% 0.13/0.38 inference(component_clause,[status(thm)],[f328])).
% 0.13/0.38 fof(f331,plain,(
% 0.13/0.38 spl0_8 <=> sdteqdtlpzmzozddtrp0(xb,xa,xq)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f338,plain,(
% 0.13/0.38 $false|spl0_7),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f330,f219])).
% 0.13/0.38 fof(f339,plain,(
% 0.13/0.38 spl0_7),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f338])).
% 0.13/0.38 fof(f350,plain,(
% 0.13/0.38 spl0_11 <=> aInteger0(xa)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f352,plain,(
% 0.13/0.38 ~aInteger0(xa)|spl0_11),
% 0.13/0.38 inference(component_clause,[status(thm)],[f350])).
% 0.13/0.38 fof(f353,plain,(
% 0.13/0.38 spl0_12 <=> xq=sz00),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f354,plain,(
% 0.13/0.38 xq=sz00|~spl0_12),
% 0.13/0.38 inference(component_clause,[status(thm)],[f353])).
% 0.13/0.38 fof(f366,plain,(
% 0.13/0.38 $false|spl0_11),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f352,f216])).
% 0.13/0.38 fof(f367,plain,(
% 0.13/0.38 spl0_11),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f366])).
% 0.13/0.38 fof(f368,plain,(
% 0.13/0.38 $false|~spl0_12),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f354,f218])).
% 0.13/0.38 fof(f369,plain,(
% 0.13/0.38 ~spl0_12),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f368])).
% 0.13/0.38 fof(f380,plain,(
% 0.13/0.38 spl0_17 <=> aInteger0(sz00)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f382,plain,(
% 0.13/0.38 ~aInteger0(sz00)|spl0_17),
% 0.13/0.38 inference(component_clause,[status(thm)],[f380])).
% 0.13/0.38 fof(f383,plain,(
% 0.13/0.38 spl0_18 <=> aInteger0(sz10)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f385,plain,(
% 0.13/0.38 ~aInteger0(sz10)|spl0_18),
% 0.13/0.38 inference(component_clause,[status(thm)],[f383])).
% 0.13/0.38 fof(f403,plain,(
% 0.13/0.38 $false|spl0_18),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f385,f49])).
% 0.13/0.38 fof(f404,plain,(
% 0.13/0.38 spl0_18),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f403])).
% 0.13/0.38 fof(f405,plain,(
% 0.13/0.38 $false|spl0_17),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f382,f48])).
% 0.13/0.38 fof(f406,plain,(
% 0.13/0.38 spl0_17),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f405])).
% 0.13/0.38 fof(f440,plain,(
% 0.13/0.38 spl0_28 <=> sdteqdtlpzmzozddtrp0(xb,xc,xq)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f441,plain,(
% 0.13/0.38 sdteqdtlpzmzozddtrp0(xb,xc,xq)|~spl0_28),
% 0.13/0.38 inference(component_clause,[status(thm)],[f440])).
% 0.13/0.38 fof(f443,plain,(
% 0.13/0.38 ~aInteger0(xc)|~aInteger0(xb)|~aInteger0(xq)|xq=sz00|sdteqdtlpzmzozddtrp0(xb,xc,xq)),
% 0.13/0.38 inference(resolution,[status(thm)],[f100,f238])).
% 0.13/0.38 fof(f444,plain,(
% 0.13/0.38 ~spl0_2|~spl0_7|~spl0_1|spl0_12|spl0_28),
% 0.13/0.38 inference(split_clause,[status(thm)],[f443,f293,f328,f288,f353,f440])).
% 0.13/0.38 fof(f447,plain,(
% 0.13/0.38 ~aInteger0(xa)|~aInteger0(xq)|xq=sz00|~aInteger0(xb)|~sdteqdtlpzmzozddtrp0(xb,xa,xq)),
% 0.13/0.38 inference(resolution,[status(thm)],[f283,f233])).
% 0.13/0.38 fof(f448,plain,(
% 0.13/0.38 ~spl0_11|~spl0_1|spl0_12|~spl0_7|~spl0_8),
% 0.13/0.38 inference(split_clause,[status(thm)],[f447,f350,f288,f353,f328,f331])).
% 0.13/0.38 fof(f489,plain,(
% 0.13/0.38 spl0_36 <=> ~aInteger0(X0)|~sdteqdtlpzmzozddtrp0(X0,xc,xq)|sdteqdtlpzmzozddtrp0(X0,xa,xq)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f490,plain,(
% 0.13/0.38 ![X0]: (~aInteger0(X0)|~sdteqdtlpzmzozddtrp0(X0,xc,xq)|sdteqdtlpzmzozddtrp0(X0,xa,xq)|~spl0_36)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f489])).
% 0.13/0.38 fof(f492,plain,(
% 0.13/0.38 ![X0]: (~aInteger0(X0)|~aInteger0(xc)|~aInteger0(xq)|xq=sz00|~aInteger0(xa)|~sdteqdtlpzmzozddtrp0(X0,xc,xq)|sdteqdtlpzmzozddtrp0(X0,xa,xq))),
% 0.13/0.38 inference(resolution,[status(thm)],[f102,f327])).
% 0.13/0.38 fof(f493,plain,(
% 0.13/0.38 spl0_36|~spl0_2|~spl0_1|spl0_12|~spl0_11),
% 0.13/0.38 inference(split_clause,[status(thm)],[f492,f489,f293,f288,f353,f350])).
% 0.13/0.38 fof(f537,plain,(
% 0.13/0.38 spl0_43 <=> aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f539,plain,(
% 0.13/0.38 ~aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))|spl0_43),
% 0.13/0.38 inference(component_clause,[status(thm)],[f537])).
% 0.13/0.38 fof(f567,plain,(
% 0.13/0.38 $false|spl0_43),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f539,f224])).
% 0.13/0.38 fof(f568,plain,(
% 0.13/0.38 spl0_43),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f567])).
% 0.13/0.38 fof(f702,plain,(
% 0.13/0.38 ~aInteger0(xb)|sdteqdtlpzmzozddtrp0(xb,xa,xq)|~spl0_36|~spl0_28),
% 0.13/0.38 inference(resolution,[status(thm)],[f490,f441])).
% 0.13/0.38 fof(f703,plain,(
% 0.13/0.38 ~spl0_7|spl0_8|~spl0_36|~spl0_28),
% 0.13/0.38 inference(split_clause,[status(thm)],[f702,f328,f331,f489,f440])).
% 0.13/0.38 fof(f711,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f292,f300,f303,f305,f339,f367,f369,f404,f406,f444,f448,f493,f568,f703])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.034885 seconds
% 0.13/0.38 % CPU time: 0.106189 seconds
% 0.13/0.38 % Total memory used: 19.553 MB
% 0.13/0.38 % Net memory used: 19.344 MB
%------------------------------------------------------------------------------