TSTP Solution File: NUM592+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:35:16 EDT 2024
% Result : Theorem 38.56s 5.30s
% Output : CNFRefutation 39.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.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 20:43:27 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 38.56/5.30 % Refutation found
% 38.56/5.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 38.56/5.30 % SZS output start CNFRefutation for theBenchmark
% 38.56/5.30 fof(f91,hypothesis,(
% 38.56/5.30 ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ))& aSet0(xY)& (! [W0] :( aElementOf0(W0,xY)<=> ( aElement0(W0)& aElementOf0(W0,sdtlpdtrp0(xN,xi))& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ))& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))& xd = sdtlpdtrp0(xC,xi) ) ),
% 38.56/5.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 38.56/5.30 fof(f93,hypothesis,(
% 38.56/5.30 ( aElementOf0(xu,xT)& aSet0(xX)& (! [W0] :( aElementOf0(W0,xX)=> aElementOf0(W0,xY) ))& aSubsetOf0(xX,xY)& isCountable0(xX)& (! [W0] :( ( aSet0(W0)& ( ( ( (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xX) ))| aSubsetOf0(W0,xX) )& sbrdtbr0(W0) = xk )| aElementOf0(W0,slbdtsldtrb0(xX,xk)) ) )=> sdtlpdtrp0(xd,W0) = xu ) )) ),
% 38.56/5.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 38.56/5.30 fof(f94,conjecture,(
% 38.56/5.30 (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W2) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W2] :( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W2)& aElementOf0(W2,sdtlpdtrp0(xN,xi))& W2 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ))=> ( ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ))| aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) )& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,W1) ))& aSubsetOf0(W2,W1)& sbrdtbr0(W2) = xk& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2) = W0 ) )) )) )),
% 38.56/5.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 38.56/5.30 fof(f95,negated_conjecture,(
% 38.56/5.30 ~((? [W0] :( aElementOf0(W0,xT)& (? [W1] :( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,xi))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W2) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))& (! [W2] :( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=> ( aElement0(W2)& aElementOf0(W2,sdtlpdtrp0(xN,xi))& W2 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ))=> ( ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ))| aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) )& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,W1) ))& aSubsetOf0(W2,W1)& sbrdtbr0(W2) = xk& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2) = W0 ) )) )) ))),
% 38.56/5.30 inference(negated_conjecture,[status(cth)],[f94])).
% 38.56/5.30 fof(f502,plain,(
% 38.56/5.30 ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(xY))&(![W0]: (aElementOf0(W0,xY)<=>((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),
% 38.56/5.30 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 38.56/5.30 fof(f503,plain,(
% 38.56/5.30 ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(xY))&(![W0]: ((~aElementOf0(W0,xY)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi))))&(aElementOf0(W0,xY)|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),
% 38.56/5.30 inference(NNF_transformation,[status(esa)],[f502])).
% 38.56/5.30 fof(f504,plain,(
% 38.56/5.30 ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(xY))&((![W0]: (~aElementOf0(W0,xY)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&~W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]: (aElementOf0(W0,xY)|((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),
% 38.56/5.30 inference(miniscoping,[status(esa)],[f503])).
% 38.56/5.30 fof(f512,plain,(
% 38.56/5.30 xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f504])).
% 38.56/5.30 fof(f513,plain,(
% 38.56/5.30 xd=sdtlpdtrp0(xC,xi)),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f504])).
% 38.56/5.30 fof(f533,plain,(
% 38.56/5.30 ((((aElementOf0(xu,xT)&aSet0(xX))&(![W0]: (~aElementOf0(W0,xX)|aElementOf0(W0,xY))))&aSubsetOf0(xX,xY))&isCountable0(xX))&(![W0]: ((~aSet0(W0)|((((?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xX)))&~aSubsetOf0(W0,xX))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(xX,xk))))|sdtlpdtrp0(xd,W0)=xu))),
% 38.56/5.30 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 38.56/5.30 fof(f534,plain,(
% 38.56/5.30 ((((aElementOf0(xu,xT)&aSet0(xX))&(![W0]: (~aElementOf0(W0,xX)|aElementOf0(W0,xY))))&aSubsetOf0(xX,xY))&isCountable0(xX))&(![W0]: ((~aSet0(W0)|((((aElementOf0(sk0_29(W0),W0)&~aElementOf0(sk0_29(W0),xX))&~aSubsetOf0(W0,xX))|~sbrdtbr0(W0)=xk)&~aElementOf0(W0,slbdtsldtrb0(xX,xk))))|sdtlpdtrp0(xd,W0)=xu))),
% 38.56/5.30 inference(skolemization,[status(esa)],[f533])).
% 38.56/5.30 fof(f535,plain,(
% 38.56/5.30 aElementOf0(xu,xT)),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f534])).
% 38.56/5.30 fof(f538,plain,(
% 38.56/5.30 aSubsetOf0(xX,xY)),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f534])).
% 38.56/5.30 fof(f539,plain,(
% 38.56/5.30 isCountable0(xX)),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f534])).
% 38.56/5.30 fof(f543,plain,(
% 38.56/5.30 ![X0]: (~aSet0(X0)|~aElementOf0(X0,slbdtsldtrb0(xX,xk))|sdtlpdtrp0(xd,X0)=xu)),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f534])).
% 38.56/5.30 fof(f544,plain,(
% 38.56/5.30 (![W0]: (~aElementOf0(W0,xT)|(![W1]: ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,xi)))&~W2=szmzizndt0(sdtlpdtrp0(xN,xi))))))&((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))|~isCountable0(W1))|(?[W2]: (((((aSet0(W2)&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,W1))))&aSubsetOf0(W2,W1))&sbrdtbr0(W2)=xk)&aElementOf0(W2,slbdtsldtrb0(W1,xk)))&~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2)=W0))))))),
% 38.56/5.30 inference(pre_NNF_transformation,[status(esa)],[f95])).
% 38.56/5.30 fof(f545,plain,(
% 38.56/5.30 ![W1]: (pd0_9(W1)=>(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,xi)))&~W2=szmzizndt0(sdtlpdtrp0(xN,xi))))))&((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))|~isCountable0(W1)))),
% 38.56/5.30 introduced(predicate_definition,[f544])).
% 38.56/5.30 fof(f546,plain,(
% 38.56/5.30 ![W0]: (~aElementOf0(W0,xT)|(![W1]: (pd0_9(W1)|(?[W2]: (((((aSet0(W2)&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,W1))))&aSubsetOf0(W2,W1))&sbrdtbr0(W2)=xk)&aElementOf0(W2,slbdtsldtrb0(W1,xk)))&~sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2)=W0)))))),
% 38.56/5.30 inference(formula_renaming,[status(thm)],[f544,f545])).
% 38.56/5.30 fof(f547,plain,(
% 38.56/5.30 ![W0]: (~aElementOf0(W0,xT)|(![W1]: (pd0_9(W1)|(((((aSet0(sk0_30(W1,W0))&(![W3]: (~aElementOf0(W3,sk0_30(W1,W0))|aElementOf0(W3,W1))))&aSubsetOf0(sk0_30(W1,W0),W1))&sbrdtbr0(sk0_30(W1,W0))=xk)&aElementOf0(sk0_30(W1,W0),slbdtsldtrb0(W1,xk)))&~sdtlpdtrp0(sdtlpdtrp0(xC,xi),sk0_30(W1,W0))=W0))))),
% 38.56/5.30 inference(skolemization,[status(esa)],[f546])).
% 38.56/5.30 fof(f548,plain,(
% 38.56/5.30 ![X0,X1]: (~aElementOf0(X0,xT)|pd0_9(X1)|aSet0(sk0_30(X1,X0)))),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f547])).
% 38.56/5.30 fof(f552,plain,(
% 38.56/5.30 ![X0,X1]: (~aElementOf0(X0,xT)|pd0_9(X1)|aElementOf0(sk0_30(X1,X0),slbdtsldtrb0(X1,xk)))),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f547])).
% 38.56/5.30 fof(f553,plain,(
% 38.56/5.30 ![X0,X1]: (~aElementOf0(X0,xT)|pd0_9(X1)|~sdtlpdtrp0(sdtlpdtrp0(xC,xi),sk0_30(X1,X0))=X0)),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f547])).
% 38.56/5.30 fof(f647,plain,(
% 38.56/5.30 ![W1]: (~pd0_9(W1)|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,xi)))&~W2=szmzizndt0(sdtlpdtrp0(xN,xi))))))&((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))|~isCountable0(W1)))),
% 38.56/5.30 inference(pre_NNF_transformation,[status(esa)],[f545])).
% 38.56/5.30 fof(f648,plain,(
% 38.56/5.30 ![W1]: (~pd0_9(W1)|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&(![W2]: ((~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,xi)))&~W2=szmzizndt0(sdtlpdtrp0(xN,xi))))&(aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W2)|~aElementOf0(W2,sdtlpdtrp0(xN,xi)))|W2=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))|~isCountable0(W1)))),
% 38.56/5.30 inference(NNF_transformation,[status(esa)],[f647])).
% 38.56/5.30 fof(f649,plain,(
% 38.56/5.30 ![W1]: (~pd0_9(W1)|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W2]: (~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,xi)))&~W2=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W2)|~aElementOf0(W2,sdtlpdtrp0(xN,xi)))|W2=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))|~isCountable0(W1)))),
% 38.56/5.30 inference(miniscoping,[status(esa)],[f648])).
% 38.56/5.30 fof(f650,plain,(
% 38.56/5.30 ![W1]: (~pd0_9(W1)|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W2))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&((![W2]: (~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,xi)))&~W2=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|((~aElement0(W2)|~aElementOf0(W2,sdtlpdtrp0(xN,xi)))|W2=szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((~aSet0(W1)|(aElementOf0(sk0_41(W1),W1)&~aElementOf0(sk0_41(W1),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&~aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))|~isCountable0(W1)))),
% 38.56/5.30 inference(skolemization,[status(esa)],[f649])).
% 38.56/5.30 fof(f660,plain,(
% 38.56/5.30 ![X0]: (~pd0_9(X0)|~aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~isCountable0(X0))),
% 38.56/5.30 inference(cnf_transformation,[status(esa)],[f650])).
% 38.56/5.30 fof(f2136,plain,(
% 38.56/5.30 ![X0,X1]: (~aElementOf0(X0,xT)|pd0_9(X1)|~sdtlpdtrp0(xd,sk0_30(X1,X0))=X0)),
% 39.32/5.32 inference(backward_demodulation,[status(thm)],[f513,f553])).
% 39.32/5.32 fof(f2379,plain,(
% 39.32/5.32 spl0_287 <=> pd0_9(xX)),
% 39.32/5.32 introduced(split_symbol_definition)).
% 39.32/5.32 fof(f2382,plain,(
% 39.32/5.32 spl0_288 <=> isCountable0(xX)),
% 39.32/5.32 introduced(split_symbol_definition)).
% 39.32/5.32 fof(f2384,plain,(
% 39.32/5.32 ~isCountable0(xX)|spl0_288),
% 39.32/5.32 inference(component_clause,[status(thm)],[f2382])).
% 39.32/5.32 fof(f2465,plain,(
% 39.32/5.32 $false|spl0_288),
% 39.32/5.32 inference(forward_subsumption_resolution,[status(thm)],[f2384,f539])).
% 39.32/5.32 fof(f2466,plain,(
% 39.32/5.32 spl0_288),
% 39.32/5.32 inference(contradiction_clause,[status(thm)],[f2465])).
% 39.32/5.32 fof(f14649,plain,(
% 39.32/5.32 spl0_1738 <=> ~aSet0(sk0_30(xX,X0))|sdtlpdtrp0(xd,sk0_30(xX,X0))=xu|~aElementOf0(X0,xT)),
% 39.32/5.32 introduced(split_symbol_definition)).
% 39.32/5.32 fof(f14650,plain,(
% 39.32/5.32 ![X0]: (~aSet0(sk0_30(xX,X0))|sdtlpdtrp0(xd,sk0_30(xX,X0))=xu|~aElementOf0(X0,xT)|~spl0_1738)),
% 39.32/5.32 inference(component_clause,[status(thm)],[f14649])).
% 39.32/5.32 fof(f14652,plain,(
% 39.32/5.32 ![X0]: (~aSet0(sk0_30(xX,X0))|sdtlpdtrp0(xd,sk0_30(xX,X0))=xu|~aElementOf0(X0,xT)|pd0_9(xX))),
% 39.32/5.32 inference(resolution,[status(thm)],[f543,f552])).
% 39.32/5.32 fof(f14653,plain,(
% 39.32/5.32 spl0_1738|spl0_287),
% 39.32/5.32 inference(split_clause,[status(thm)],[f14652,f14649,f2379])).
% 39.32/5.32 fof(f17494,plain,(
% 39.32/5.32 spl0_2084 <=> aSet0(sk0_30(xX,xu))),
% 39.32/5.32 introduced(split_symbol_definition)).
% 39.32/5.32 fof(f17496,plain,(
% 39.32/5.32 ~aSet0(sk0_30(xX,xu))|spl0_2084),
% 39.32/5.32 inference(component_clause,[status(thm)],[f17494])).
% 39.32/5.32 fof(f17497,plain,(
% 39.32/5.32 spl0_2085 <=> aElementOf0(xu,xT)),
% 39.32/5.32 introduced(split_symbol_definition)).
% 39.32/5.32 fof(f17499,plain,(
% 39.32/5.32 ~aElementOf0(xu,xT)|spl0_2085),
% 39.32/5.32 inference(component_clause,[status(thm)],[f17497])).
% 39.32/5.32 fof(f17500,plain,(
% 39.32/5.32 ~aSet0(sk0_30(xX,xu))|~aElementOf0(xu,xT)|~aElementOf0(xu,xT)|pd0_9(xX)|~spl0_1738),
% 39.32/5.32 inference(resolution,[status(thm)],[f14650,f2136])).
% 39.32/5.32 fof(f17501,plain,(
% 39.32/5.32 ~spl0_2084|~spl0_2085|spl0_287|~spl0_1738),
% 39.32/5.32 inference(split_clause,[status(thm)],[f17500,f17494,f17497,f2379,f14649])).
% 39.32/5.32 fof(f17502,plain,(
% 39.32/5.32 $false|spl0_2085),
% 39.32/5.32 inference(forward_subsumption_resolution,[status(thm)],[f17499,f535])).
% 39.32/5.32 fof(f17503,plain,(
% 39.32/5.32 spl0_2085),
% 39.32/5.32 inference(contradiction_clause,[status(thm)],[f17502])).
% 39.32/5.32 fof(f18732,plain,(
% 39.32/5.32 ~aElementOf0(xu,xT)|pd0_9(xX)|spl0_2084),
% 39.32/5.32 inference(resolution,[status(thm)],[f17496,f548])).
% 39.32/5.32 fof(f18733,plain,(
% 39.32/5.32 ~spl0_2085|spl0_287|spl0_2084),
% 39.32/5.32 inference(split_clause,[status(thm)],[f18732,f17497,f2379,f17494])).
% 39.32/5.32 fof(f18966,plain,(
% 39.32/5.32 ![X0]: (~pd0_9(X0)|~aSubsetOf0(X0,xY)|~isCountable0(X0))),
% 39.32/5.32 inference(forward_demodulation,[status(thm)],[f512,f660])).
% 39.32/5.32 fof(f19276,plain,(
% 39.32/5.32 ~pd0_9(xX)|~isCountable0(xX)),
% 39.32/5.32 inference(resolution,[status(thm)],[f18966,f538])).
% 39.32/5.32 fof(f19277,plain,(
% 39.32/5.32 ~spl0_287|~spl0_288),
% 39.32/5.32 inference(split_clause,[status(thm)],[f19276,f2379,f2382])).
% 39.32/5.32 fof(f19309,plain,(
% 39.32/5.32 $false),
% 39.32/5.32 inference(sat_refutation,[status(thm)],[f2466,f14653,f17501,f17503,f18733,f19277])).
% 39.32/5.32 % SZS output end CNFRefutation for theBenchmark.p
% 39.32/5.34 % Elapsed time: 4.976881 seconds
% 39.32/5.34 % CPU time: 39.342180 seconds
% 39.32/5.34 % Total memory used: 269.857 MB
% 39.32/5.34 % Net memory used: 262.599 MB
%------------------------------------------------------------------------------