TSTP Solution File: NUM566+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM566+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:35:11 EDT 2024
% Result : Theorem 8.04s 1.43s
% Output : CNFRefutation 8.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM566+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.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 21:02:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 8.04/1.43 % Refutation found
% 8.04/1.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.04/1.43 % SZS output start CNFRefutation for theBenchmark
% 8.04/1.43 fof(f12,axiom,(
% 8.04/1.43 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 8.04/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.04/1.43 fof(f69,axiom,(
% 8.04/1.43 (! [W0] :( aFunction0(W0)=> (! [W1] :( aElementOf0(W1,szDzozmdt0(W0))=> aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) )) )),
% 8.04/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.04/1.43 fof(f75,hypothesis,(
% 8.04/1.43 ( aSet0(xS)& (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 8.04/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.04/1.43 fof(f76,hypothesis,(
% 8.04/1.43 ( aFunction0(xc)& (! [W0] :( ( aElementOf0(W0,szDzozmdt0(xc))=> ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ))& aSubsetOf0(W0,xS)& sbrdtbr0(W0) = xK ) )& ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ) ))| aSubsetOf0(W0,xS) )& sbrdtbr0(W0) = xK )=> aElementOf0(W0,szDzozmdt0(xc)) ) ))& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))<=> (? [W1] :( aElementOf0(W1,szDzozmdt0(xc))& sdtlpdtrp0(xc,W1) = W0 ) )))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))=> aElementOf0(W0,xT) ))& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 8.04/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.04/1.43 fof(f78,hypothesis,(
% 8.04/1.43 xK = sz00 ),
% 8.04/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.04/1.43 fof(f79,hypothesis,(
% 8.04/1.43 ( aSet0(slcrc0)& ~ (? [W0] : aElementOf0(W0,slcrc0))& (! [W0] :( aElementOf0(W0,slcrc0)=> aElementOf0(W0,xS) ))& aSubsetOf0(slcrc0,xS)& aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
% 8.04/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.04/1.43 fof(f80,hypothesis,(
% 8.04/1.43 (! [W0] :( ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ) ))| aSubsetOf0(W0,xS) )& sbrdtbr0(W0) = sz00 )| aElementOf0(W0,slbdtsldtrb0(xS,sz00)) )=> ( aSet0(slcrc0)& ~ (? [W1] : aElementOf0(W1,slcrc0))& sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) ) )),
% 8.04/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.04/1.43 fof(f81,conjecture,(
% 8.04/1.43 (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( ( ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,xS) ) ))| aSubsetOf0(W1,xS) )& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,W1) ))& aSubsetOf0(W2,W1)& sbrdtbr0(W2) = xK& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )=> sdtlpdtrp0(xc,W2) = W0 ) )) )) )),
% 8.04/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.04/1.43 fof(f82,negated_conjecture,(
% 8.04/1.43 ~((? [W0] :( aElementOf0(W0,xT)& (? [W1] :( ( ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,xS) ) ))| aSubsetOf0(W1,xS) )& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,W1) ))& aSubsetOf0(W2,W1)& sbrdtbr0(W2) = xK& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )=> sdtlpdtrp0(xc,W2) = W0 ) )) )) ))),
% 8.04/1.43 inference(negated_conjecture,[status(cth)],[f81])).
% 8.04/1.43 fof(f117,plain,(
% 8.04/1.43 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 8.04/1.43 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 8.04/1.43 fof(f118,plain,(
% 8.04/1.43 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f117])).
% 8.04/1.43 fof(f319,plain,(
% 8.04/1.43 ![W0]: (~aFunction0(W0)|(![W1]: (~aElementOf0(W1,szDzozmdt0(W0))|aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))))))),
% 8.04/1.43 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 8.04/1.43 fof(f320,plain,(
% 8.04/1.43 ![X0,X1]: (~aFunction0(X0)|~aElementOf0(X1,szDzozmdt0(X0))|aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))))),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f319])).
% 8.04/1.43 fof(f342,plain,(
% 8.04/1.43 ((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),
% 8.04/1.43 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 8.04/1.43 fof(f343,plain,(
% 8.04/1.43 aSet0(xS)),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f342])).
% 8.04/1.43 fof(f346,plain,(
% 8.04/1.43 isCountable0(xS)),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f342])).
% 8.04/1.43 fof(f347,plain,(
% 8.04/1.43 (((((aFunction0(xc)&(![W0]: ((~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))<=>(?[W1]: (aElementOf0(W1,szDzozmdt0(xc))&sdtlpdtrp0(xc,W1)=W0)))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 8.04/1.43 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 8.04/1.43 fof(f348,plain,(
% 8.04/1.43 (((((aFunction0(xc)&(![W0]: ((~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&(![W0]: ((~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xc))&sdtlpdtrp0(xc,W1)=W0)))&(aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xc))|~sdtlpdtrp0(xc,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 8.04/1.43 inference(NNF_transformation,[status(esa)],[f347])).
% 8.04/1.43 fof(f349,plain,(
% 8.04/1.43 (((((aFunction0(xc)&((![W0]: (~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK)))&(![W0]: ((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xc))&sdtlpdtrp0(xc,W1)=W0))))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xc))|~sdtlpdtrp0(xc,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 8.04/1.43 inference(miniscoping,[status(esa)],[f348])).
% 8.04/1.43 fof(f350,plain,(
% 8.04/1.43 (((((aFunction0(xc)&((![W0]: (~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK)))&(![W0]: ((((~aSet0(W0)|(aElementOf0(sk0_19(W0),W0)&~aElementOf0(sk0_19(W0),xS)))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(aElementOf0(sk0_20(W0),szDzozmdt0(xc))&sdtlpdtrp0(xc,sk0_20(W0))=W0)))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xc))|~sdtlpdtrp0(xc,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 8.04/1.43 inference(skolemization,[status(esa)],[f349])).
% 8.04/1.43 fof(f351,plain,(
% 8.04/1.43 aFunction0(xc)),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f350])).
% 8.04/1.43 fof(f359,plain,(
% 8.04/1.43 szDzozmdt0(xc)=slbdtsldtrb0(xS,xK)),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f350])).
% 8.04/1.43 fof(f364,plain,(
% 8.04/1.43 ![X0]: (~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(X0,xT))),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f350])).
% 8.04/1.43 fof(f375,plain,(
% 8.04/1.43 xK=sz00),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f78])).
% 8.04/1.43 fof(f376,plain,(
% 8.04/1.43 (((aSet0(slcrc0)&(![W0]: ~aElementOf0(W0,slcrc0)))&(![W0]: (~aElementOf0(W0,slcrc0)|aElementOf0(W0,xS))))&aSubsetOf0(slcrc0,xS))&aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))),
% 8.04/1.43 inference(pre_NNF_transformation,[status(esa)],[f79])).
% 8.04/1.43 fof(f381,plain,(
% 8.04/1.43 aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f376])).
% 8.04/1.43 fof(f382,plain,(
% 8.04/1.43 ![W0]: (((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=sz00)&~aElementOf0(W0,slbdtsldtrb0(xS,sz00)))|((aSet0(slcrc0)&(![W1]: ~aElementOf0(W1,slcrc0)))&sdtlpdtrp0(xc,W0)=sdtlpdtrp0(xc,slcrc0)))),
% 8.04/1.43 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 8.04/1.43 fof(f383,plain,(
% 8.04/1.43 ![W0]: (pd0_4(W0)=>((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=sz00)&~aElementOf0(W0,slbdtsldtrb0(xS,sz00))))),
% 8.04/1.43 introduced(predicate_definition,[f382])).
% 8.04/1.43 fof(f384,plain,(
% 8.04/1.43 ![W0]: (pd0_4(W0)|((aSet0(slcrc0)&(![W1]: ~aElementOf0(W1,slcrc0)))&sdtlpdtrp0(xc,W0)=sdtlpdtrp0(xc,slcrc0)))),
% 8.04/1.43 inference(formula_renaming,[status(thm)],[f382,f383])).
% 8.04/1.43 fof(f387,plain,(
% 8.04/1.43 ![X0]: (pd0_4(X0)|sdtlpdtrp0(xc,X0)=sdtlpdtrp0(xc,slcrc0))),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f384])).
% 8.04/1.43 fof(f388,plain,(
% 8.04/1.43 (![W0]: (~aElementOf0(W0,xT)|(![W1]: ((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,xS))))&~aSubsetOf0(W1,xS))|~isCountable0(W1))|(?[W2]: (((((aSet0(W2)&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,W1))))&aSubsetOf0(W2,W1))&sbrdtbr0(W2)=xK)&aElementOf0(W2,slbdtsldtrb0(W1,xK)))&~sdtlpdtrp0(xc,W2)=W0))))))),
% 8.04/1.43 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 8.04/1.43 fof(f389,plain,(
% 8.04/1.43 ![W1]: (pd0_5(W1)=>(((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,xS))))&~aSubsetOf0(W1,xS))|~isCountable0(W1)))),
% 8.04/1.43 introduced(predicate_definition,[f388])).
% 8.04/1.43 fof(f390,plain,(
% 8.04/1.43 ![W0]: (~aElementOf0(W0,xT)|(![W1]: (pd0_5(W1)|(?[W2]: (((((aSet0(W2)&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,W1))))&aSubsetOf0(W2,W1))&sbrdtbr0(W2)=xK)&aElementOf0(W2,slbdtsldtrb0(W1,xK)))&~sdtlpdtrp0(xc,W2)=W0)))))),
% 8.04/1.43 inference(formula_renaming,[status(thm)],[f388,f389])).
% 8.04/1.43 fof(f391,plain,(
% 8.04/1.43 ![W0]: (~aElementOf0(W0,xT)|(![W1]: (pd0_5(W1)|(((((aSet0(sk0_23(W1,W0))&(![W3]: (~aElementOf0(W3,sk0_23(W1,W0))|aElementOf0(W3,W1))))&aSubsetOf0(sk0_23(W1,W0),W1))&sbrdtbr0(sk0_23(W1,W0))=xK)&aElementOf0(sk0_23(W1,W0),slbdtsldtrb0(W1,xK)))&~sdtlpdtrp0(xc,sk0_23(W1,W0))=W0))))),
% 8.04/1.43 inference(skolemization,[status(esa)],[f390])).
% 8.04/1.43 fof(f396,plain,(
% 8.04/1.43 ![X0,X1]: (~aElementOf0(X0,xT)|pd0_5(X1)|aElementOf0(sk0_23(X1,X0),slbdtsldtrb0(X1,xK)))),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f391])).
% 8.04/1.43 fof(f397,plain,(
% 8.04/1.43 ![X0,X1]: (~aElementOf0(X0,xT)|pd0_5(X1)|~sdtlpdtrp0(xc,sk0_23(X1,X0))=X0)),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f391])).
% 8.04/1.43 fof(f437,plain,(
% 8.04/1.43 ![W0]: (~pd0_4(W0)|((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=sz00)&~aElementOf0(W0,slbdtsldtrb0(xS,sz00))))),
% 8.04/1.43 inference(pre_NNF_transformation,[status(esa)],[f383])).
% 8.04/1.43 fof(f438,plain,(
% 8.04/1.43 ![W0]: (~pd0_4(W0)|((((~aSet0(W0)|(aElementOf0(sk0_30(W0),W0)&~aElementOf0(sk0_30(W0),xS)))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=sz00)&~aElementOf0(W0,slbdtsldtrb0(xS,sz00))))),
% 8.04/1.43 inference(skolemization,[status(esa)],[f437])).
% 8.04/1.43 fof(f442,plain,(
% 8.04/1.43 ![X0]: (~pd0_4(X0)|~aElementOf0(X0,slbdtsldtrb0(xS,sz00)))),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f438])).
% 8.04/1.43 fof(f443,plain,(
% 8.04/1.43 ![W1]: (~pd0_5(W1)|(((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,xS))))&~aSubsetOf0(W1,xS))|~isCountable0(W1)))),
% 8.04/1.43 inference(pre_NNF_transformation,[status(esa)],[f389])).
% 8.04/1.43 fof(f444,plain,(
% 8.04/1.43 ![W1]: (~pd0_5(W1)|(((~aSet0(W1)|(aElementOf0(sk0_31(W1),W1)&~aElementOf0(sk0_31(W1),xS)))&~aSubsetOf0(W1,xS))|~isCountable0(W1)))),
% 8.04/1.43 inference(skolemization,[status(esa)],[f443])).
% 8.04/1.43 fof(f447,plain,(
% 8.04/1.43 ![X0]: (~pd0_5(X0)|~aSubsetOf0(X0,xS)|~isCountable0(X0))),
% 8.04/1.43 inference(cnf_transformation,[status(esa)],[f444])).
% 8.04/1.43 fof(f517,plain,(
% 8.04/1.43 ![X0,X1]: (~aElementOf0(X0,xT)|pd0_5(X1)|aElementOf0(sk0_23(X1,X0),slbdtsldtrb0(X1,sz00)))),
% 8.04/1.43 inference(forward_demodulation,[status(thm)],[f375,f396])).
% 8.04/1.43 fof(f529,plain,(
% 8.04/1.43 szDzozmdt0(xc)=slbdtsldtrb0(xS,sz00)),
% 8.04/1.43 inference(backward_demodulation,[status(thm)],[f375,f359])).
% 8.04/1.43 fof(f540,plain,(
% 8.04/1.43 aElementOf0(slcrc0,szDzozmdt0(xc))),
% 8.04/1.43 inference(backward_demodulation,[status(thm)],[f529,f381])).
% 8.04/1.43 fof(f543,plain,(
% 8.04/1.43 ![X0]: (~pd0_4(X0)|~aElementOf0(X0,szDzozmdt0(xc)))),
% 8.04/1.43 inference(forward_demodulation,[status(thm)],[f529,f442])).
% 8.04/1.43 fof(f547,plain,(
% 8.04/1.43 spl0_4 <=> pd0_5(xS)),
% 8.04/1.43 introduced(split_symbol_definition)).
% 8.04/1.43 fof(f562,plain,(
% 8.04/1.43 spl0_7 <=> aSet0(xS)),
% 8.04/1.43 introduced(split_symbol_definition)).
% 8.04/1.43 fof(f564,plain,(
% 8.04/1.43 ~aSet0(xS)|spl0_7),
% 8.04/1.43 inference(component_clause,[status(thm)],[f562])).
% 8.04/1.43 fof(f590,plain,(
% 8.04/1.43 $false|spl0_7),
% 8.04/1.43 inference(forward_subsumption_resolution,[status(thm)],[f564,f343])).
% 8.04/1.43 fof(f591,plain,(
% 8.04/1.43 spl0_7),
% 8.04/1.43 inference(contradiction_clause,[status(thm)],[f590])).
% 8.04/1.43 fof(f601,plain,(
% 8.04/1.43 spl0_13 <=> isCountable0(xS)),
% 8.04/1.43 introduced(split_symbol_definition)).
% 8.04/1.43 fof(f603,plain,(
% 8.04/1.43 ~isCountable0(xS)|spl0_13),
% 8.04/1.43 inference(component_clause,[status(thm)],[f601])).
% 8.04/1.43 fof(f604,plain,(
% 8.04/1.43 ~aSet0(xS)|~pd0_5(xS)|~isCountable0(xS)),
% 8.04/1.43 inference(resolution,[status(thm)],[f118,f447])).
% 8.04/1.43 fof(f605,plain,(
% 8.04/1.43 ~spl0_7|~spl0_4|~spl0_13),
% 8.04/1.43 inference(split_clause,[status(thm)],[f604,f562,f547,f601])).
% 8.04/1.43 fof(f606,plain,(
% 8.04/1.43 $false|spl0_13),
% 8.04/1.43 inference(forward_subsumption_resolution,[status(thm)],[f603,f346])).
% 8.04/1.43 fof(f607,plain,(
% 8.04/1.43 spl0_13),
% 8.04/1.43 inference(contradiction_clause,[status(thm)],[f606])).
% 8.04/1.43 fof(f790,plain,(
% 8.04/1.43 spl0_41 <=> ~aElementOf0(X0,xT)|aElementOf0(sk0_23(xS,X0),szDzozmdt0(xc))),
% 8.04/1.43 introduced(split_symbol_definition)).
% 8.04/1.43 fof(f791,plain,(
% 8.04/1.43 ![X0]: (~aElementOf0(X0,xT)|aElementOf0(sk0_23(xS,X0),szDzozmdt0(xc))|~spl0_41)),
% 8.04/1.43 inference(component_clause,[status(thm)],[f790])).
% 8.04/1.43 fof(f793,plain,(
% 8.04/1.43 ![X0]: (~aElementOf0(X0,xT)|pd0_5(xS)|aElementOf0(sk0_23(xS,X0),szDzozmdt0(xc)))),
% 8.04/1.43 inference(paramodulation,[status(thm)],[f529,f517])).
% 8.04/1.43 fof(f794,plain,(
% 8.04/1.43 spl0_41|spl0_4),
% 8.04/1.43 inference(split_clause,[status(thm)],[f793,f790,f547])).
% 8.04/1.43 fof(f1407,plain,(
% 8.04/1.43 ![X0]: (~aElementOf0(X0,xT)|~pd0_4(sk0_23(xS,X0))|~spl0_41)),
% 8.04/1.43 inference(resolution,[status(thm)],[f791,f543])).
% 8.04/1.43 fof(f1780,plain,(
% 8.04/1.43 spl0_195 <=> aFunction0(xc)),
% 8.04/1.43 introduced(split_symbol_definition)).
% 8.04/1.43 fof(f1782,plain,(
% 8.04/1.43 ~aFunction0(xc)|spl0_195),
% 8.04/1.43 inference(component_clause,[status(thm)],[f1780])).
% 8.04/1.43 fof(f1807,plain,(
% 8.04/1.43 $false|spl0_195),
% 8.04/1.43 inference(forward_subsumption_resolution,[status(thm)],[f1782,f351])).
% 8.04/1.43 fof(f1808,plain,(
% 8.04/1.43 spl0_195),
% 8.04/1.43 inference(contradiction_clause,[status(thm)],[f1807])).
% 8.04/1.43 fof(f2838,plain,(
% 8.04/1.43 spl0_281 <=> ~aElementOf0(X0,szDzozmdt0(xc))|aElementOf0(sdtlpdtrp0(xc,X0),xT)),
% 8.04/1.43 introduced(split_symbol_definition)).
% 8.04/1.43 fof(f2839,plain,(
% 8.04/1.43 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|aElementOf0(sdtlpdtrp0(xc,X0),xT)|~spl0_281)),
% 8.04/1.43 inference(component_clause,[status(thm)],[f2838])).
% 8.04/1.43 fof(f3502,plain,(
% 8.04/1.43 ![X0]: (~aFunction0(xc)|~aElementOf0(X0,szDzozmdt0(xc))|aElementOf0(sdtlpdtrp0(xc,X0),xT))),
% 8.04/1.43 inference(resolution,[status(thm)],[f320,f364])).
% 8.04/1.43 fof(f3503,plain,(
% 8.04/1.43 ~spl0_195|spl0_281),
% 8.04/1.43 inference(split_clause,[status(thm)],[f3502,f1780,f2838])).
% 8.04/1.43 fof(f4042,plain,(
% 8.04/1.43 spl0_410 <=> pd0_4(sk0_23(X0,sdtlpdtrp0(xc,slcrc0)))|pd0_5(X0)),
% 8.04/1.43 introduced(split_symbol_definition)).
% 8.04/1.43 fof(f4043,plain,(
% 8.04/1.43 ![X0]: (pd0_4(sk0_23(X0,sdtlpdtrp0(xc,slcrc0)))|pd0_5(X0)|~spl0_410)),
% 8.04/1.43 inference(component_clause,[status(thm)],[f4042])).
% 8.04/1.43 fof(f4045,plain,(
% 8.04/1.43 spl0_411 <=> aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)),
% 8.04/1.43 introduced(split_symbol_definition)).
% 8.04/1.43 fof(f4048,plain,(
% 8.04/1.43 ![X0]: (pd0_4(sk0_23(X0,sdtlpdtrp0(xc,slcrc0)))|~aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)|pd0_5(X0))),
% 8.04/1.43 inference(resolution,[status(thm)],[f387,f397])).
% 8.04/1.43 fof(f4049,plain,(
% 8.04/1.43 spl0_410|~spl0_411),
% 8.04/1.43 inference(split_clause,[status(thm)],[f4048,f4042,f4045])).
% 8.04/1.43 fof(f4058,plain,(
% 8.04/1.43 spl0_413 <=> ~aElementOf0(X0,szDzozmdt0(xc))|pd0_4(X0)),
% 8.04/1.43 introduced(split_symbol_definition)).
% 8.04/1.43 fof(f4059,plain,(
% 8.04/1.43 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|pd0_4(X0)|~spl0_413)),
% 8.04/1.43 inference(component_clause,[status(thm)],[f4058])).
% 8.04/1.43 fof(f4061,plain,(
% 8.04/1.43 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)|pd0_4(X0)|~spl0_281)),
% 8.04/1.43 inference(paramodulation,[status(thm)],[f387,f2839])).
% 8.04/1.43 fof(f4062,plain,(
% 8.04/1.43 spl0_413|spl0_411|~spl0_281),
% 8.04/1.43 inference(split_clause,[status(thm)],[f4061,f4058,f4045,f2838])).
% 8.04/1.43 fof(f4108,plain,(
% 8.04/1.43 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|~spl0_413)),
% 8.04/1.43 inference(forward_subsumption_resolution,[status(thm)],[f4059,f543])).
% 8.04/1.43 fof(f4110,plain,(
% 8.04/1.43 $false|~spl0_413),
% 8.04/1.43 inference(backward_subsumption_resolution,[status(thm)],[f540,f4108])).
% 8.04/1.43 fof(f4111,plain,(
% 8.04/1.43 ~spl0_413),
% 8.04/1.43 inference(contradiction_clause,[status(thm)],[f4110])).
% 8.04/1.44 fof(f4172,plain,(
% 8.04/1.44 pd0_5(xS)|~aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)|~spl0_410|~spl0_41),
% 8.04/1.44 inference(resolution,[status(thm)],[f4043,f1407])).
% 8.04/1.44 fof(f4173,plain,(
% 8.04/1.44 spl0_4|~spl0_411|~spl0_410|~spl0_41),
% 8.04/1.44 inference(split_clause,[status(thm)],[f4172,f547,f4045,f4042,f790])).
% 8.04/1.44 fof(f4175,plain,(
% 8.04/1.44 $false),
% 8.04/1.44 inference(sat_refutation,[status(thm)],[f591,f605,f607,f794,f1808,f3503,f4049,f4062,f4111,f4173])).
% 8.04/1.44 % SZS output end CNFRefutation for theBenchmark.p
% 8.04/1.46 % Elapsed time: 1.101583 seconds
% 8.04/1.46 % CPU time: 8.575481 seconds
% 8.04/1.46 % Total memory used: 126.051 MB
% 8.04/1.46 % Net memory used: 122.794 MB
%------------------------------------------------------------------------------