TSTP Solution File: NUM623+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM623+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:29:59 EDT 2023
% Result : Theorem 12.82s 1.99s
% Output : CNFRefutation 12.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM623+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:55:35 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 12.82/1.99 % Refutation found
% 12.82/1.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.82/1.99 % SZS output start CNFRefutation for theBenchmark
% 12.82/1.99 fof(f5,definition,(
% 12.82/1.99 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f24,axiom,(
% 12.82/1.99 aElementOf0(sz00,szNzAzT0) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f49,axiom,(
% 12.82/1.99 (! [W0,W1] :( ( aSubsetOf0(W0,szNzAzT0)& aSubsetOf0(W1,szNzAzT0)& W0 != slcrc0& W1 != slcrc0 )=> ( ( aElementOf0(szmzizndt0(W0),W1)& aElementOf0(szmzizndt0(W1),W0) )=> szmzizndt0(W0) = szmzizndt0(W1) ) ) )),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f50,definition,(
% 12.82/1.99 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( W1 = slbdtrb0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> ( aElementOf0(W2,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )) ) )) )),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f81,hypothesis,(
% 12.82/1.99 ( aFunction0(xN)& szDzozmdt0(xN) = szNzAzT0& sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) )=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f82,hypothesis,(
% 12.82/1.99 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) ) ) )),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f91,hypothesis,(
% 12.82/1.99 ( aFunction0(xe)& szDzozmdt0(xe) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) )) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f92,hypothesis,(
% 12.82/1.99 ( aFunction0(xd)& szDzozmdt0(xd) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( ( aSet0(W1)& aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) )) )) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f97,hypothesis,(
% 12.82/1.99 (! [W0] :( aElementOf0(W0,xO)=> (? [W1] :( aElementOf0(W1,szNzAzT0)& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W1) = W0 ) )) )),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f100,hypothesis,(
% 12.82/1.99 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f101,hypothesis,(
% 12.82/1.99 aSubsetOf0(xQ,szNzAzT0) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f103,hypothesis,(
% 12.82/1.99 xp = szmzizndt0(xQ) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f106,hypothesis,(
% 12.82/1.99 aElementOf0(xp,xO) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f111,hypothesis,(
% 12.82/1.99 ( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))& aElementOf0(xn,szNzAzT0)& sdtlpdtrp0(xe,xn) = xp ) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f114,hypothesis,(
% 12.82/1.99 ( aElementOf0(xx,szNzAzT0)& aElementOf0(xx,xO) ) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f115,hypothesis,(
% 12.82/1.99 ( aElementOf0(xm,szNzAzT0)& xx = sdtlpdtrp0(xe,xm) ) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f116,hypothesis,(
% 12.82/1.99 xx = szmzizndt0(sdtlpdtrp0(xN,xm)) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f119,hypothesis,(
% 12.82/1.99 ( aElementOf0(xp,sdtlpdtrp0(xN,xm))& aElementOf0(xx,xQ) ) ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f120,conjecture,(
% 12.82/1.99 xp = xx ),
% 12.82/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.82/1.99 fof(f121,negated_conjecture,(
% 12.82/1.99 ~(xp = xx )),
% 12.82/1.99 inference(negated_conjecture,[status(cth)],[f120])).
% 12.82/1.99 fof(f132,plain,(
% 12.82/1.99 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 12.82/1.99 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 12.82/1.99 fof(f133,plain,(
% 12.82/1.99 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 12.82/1.99 inference(NNF_transformation,[status(esa)],[f132])).
% 12.82/1.99 fof(f134,plain,(
% 12.82/1.99 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 12.82/1.99 inference(miniscoping,[status(esa)],[f133])).
% 12.82/1.99 fof(f135,plain,(
% 12.82/1.99 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 12.82/1.99 inference(skolemization,[status(esa)],[f134])).
% 12.82/1.99 fof(f137,plain,(
% 12.82/1.99 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f135])).
% 12.82/1.99 fof(f200,plain,(
% 12.82/1.99 aElementOf0(sz00,szNzAzT0)),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f24])).
% 12.82/1.99 fof(f272,plain,(
% 12.82/1.99 ![W0,W1]: ((((~aSubsetOf0(W0,szNzAzT0)|~aSubsetOf0(W1,szNzAzT0))|W0=slcrc0)|W1=slcrc0)|((~aElementOf0(szmzizndt0(W0),W1)|~aElementOf0(szmzizndt0(W1),W0))|szmzizndt0(W0)=szmzizndt0(W1)))),
% 12.82/1.99 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 12.82/1.99 fof(f273,plain,(
% 12.82/1.99 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|~aSubsetOf0(X1,szNzAzT0)|X0=slcrc0|X1=slcrc0|~aElementOf0(szmzizndt0(X0),X1)|~aElementOf0(szmzizndt0(X1),X0)|szmzizndt0(X0)=szmzizndt0(X1))),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f272])).
% 12.82/1.99 fof(f274,plain,(
% 12.82/1.99 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: (W1=slbdtrb0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))),
% 12.82/1.99 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 12.82/1.99 fof(f275,plain,(
% 12.82/1.99 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~W1=slbdtrb0(W0)|(aSet0(W1)&(![W2]: ((~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))))))&(W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 12.82/1.99 inference(NNF_transformation,[status(esa)],[f274])).
% 12.82/1.99 fof(f276,plain,(
% 12.82/1.99 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 12.82/1.99 inference(miniscoping,[status(esa)],[f275])).
% 12.82/1.99 fof(f277,plain,(
% 12.82/1.99 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|((~aElementOf0(sk0_8(W1,W0),W1)|(~aElementOf0(sk0_8(W1,W0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0)))&(aElementOf0(sk0_8(W1,W0),W1)|(aElementOf0(sk0_8(W1,W0),szNzAzT0)&sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0)))))))))),
% 12.82/1.99 inference(skolemization,[status(esa)],[f276])).
% 12.82/1.99 fof(f278,plain,(
% 12.82/1.99 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|aSet0(X1))),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f277])).
% 12.82/1.99 fof(f396,plain,(
% 12.82/1.99 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,W0)))|(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 12.82/1.99 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 12.82/1.99 fof(f398,plain,(
% 12.82/1.99 szDzozmdt0(xN)=szNzAzT0),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f396])).
% 12.82/1.99 fof(f402,plain,(
% 12.82/1.99 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)&isCountable0(sdtlpdtrp0(xN,W0))))),
% 12.82/1.99 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 12.82/1.99 fof(f403,plain,(
% 12.82/1.99 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0))),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f402])).
% 12.82/1.99 fof(f431,plain,(
% 12.82/1.99 (aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlpdtrp0(xe,W0)=szmzizndt0(sdtlpdtrp0(xN,W0))))),
% 12.82/1.99 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 12.82/1.99 fof(f433,plain,(
% 12.82/1.99 szDzozmdt0(xe)=szNzAzT0),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f431])).
% 12.82/1.99 fof(f435,plain,(
% 12.82/1.99 (aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSet0(W1)|~aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)))|sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),
% 12.82/1.99 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 12.82/1.99 fof(f437,plain,(
% 12.82/1.99 szDzozmdt0(xd)=szNzAzT0),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f435])).
% 12.82/1.99 fof(f446,plain,(
% 12.82/1.99 ![W0]: (~aElementOf0(W0,xO)|(?[W1]: ((aElementOf0(W1,szNzAzT0)&aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,W1)=W0)))),
% 12.82/1.99 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 12.82/1.99 fof(f447,plain,(
% 12.82/1.99 ![W0]: (~aElementOf0(W0,xO)|((aElementOf0(sk0_24(W0),szNzAzT0)&aElementOf0(sk0_24(W0),sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,sk0_24(W0))=W0))),
% 12.82/1.99 inference(skolemization,[status(esa)],[f446])).
% 12.82/1.99 fof(f448,plain,(
% 12.82/1.99 ![X0]: (~aElementOf0(X0,xO)|aElementOf0(sk0_24(X0),szNzAzT0))),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f447])).
% 12.82/1.99 fof(f454,plain,(
% 12.82/1.99 ~xQ=slcrc0),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f100])).
% 12.82/1.99 fof(f455,plain,(
% 12.82/1.99 aSubsetOf0(xQ,szNzAzT0)),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f101])).
% 12.82/1.99 fof(f457,plain,(
% 12.82/1.99 xp=szmzizndt0(xQ)),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f103])).
% 12.82/1.99 fof(f461,plain,(
% 12.82/1.99 aElementOf0(xp,xO)),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f106])).
% 12.82/1.99 fof(f467,plain,(
% 12.82/1.99 aElementOf0(xn,szNzAzT0)),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f111])).
% 12.82/1.99 fof(f472,plain,(
% 12.82/1.99 aElementOf0(xx,xO)),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f114])).
% 12.82/1.99 fof(f473,plain,(
% 12.82/1.99 aElementOf0(xm,szNzAzT0)),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f115])).
% 12.82/1.99 fof(f475,plain,(
% 12.82/1.99 xx=szmzizndt0(sdtlpdtrp0(xN,xm))),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f116])).
% 12.82/1.99 fof(f478,plain,(
% 12.82/1.99 aElementOf0(xp,sdtlpdtrp0(xN,xm))),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f119])).
% 12.82/1.99 fof(f479,plain,(
% 12.82/1.99 aElementOf0(xx,xQ)),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f119])).
% 12.82/1.99 fof(f480,plain,(
% 12.82/1.99 ~xp=xx),
% 12.82/1.99 inference(cnf_transformation,[status(esa)],[f121])).
% 12.82/1.99 fof(f488,plain,(
% 12.82/1.99 ![X0]: (~aElementOf0(X0,slcrc0))),
% 12.82/1.99 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 12.82/1.99 fof(f504,plain,(
% 12.82/1.99 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(slbdtrb0(X0)))),
% 12.82/1.99 inference(destructive_equality_resolution,[status(esa)],[f278])).
% 12.82/1.99 fof(f899,plain,(
% 12.82/1.99 spl0_64 <=> xQ=slcrc0),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f900,plain,(
% 12.82/1.99 xQ=slcrc0|~spl0_64),
% 12.82/1.99 inference(component_clause,[status(thm)],[f899])).
% 12.82/1.99 fof(f2215,plain,(
% 12.82/1.99 $false|~spl0_64),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f900,f454])).
% 12.82/1.99 fof(f2216,plain,(
% 12.82/1.99 ~spl0_64),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f2215])).
% 12.82/1.99 fof(f2465,plain,(
% 12.82/1.99 aElementOf0(sk0_24(xp),szNzAzT0)),
% 12.82/1.99 inference(resolution,[status(thm)],[f448,f461])).
% 12.82/1.99 fof(f4083,plain,(
% 12.82/1.99 spl0_493 <=> aElementOf0(xm,szNzAzT0)),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f4085,plain,(
% 12.82/1.99 ~aElementOf0(xm,szNzAzT0)|spl0_493),
% 12.82/1.99 inference(component_clause,[status(thm)],[f4083])).
% 12.82/1.99 fof(f4233,plain,(
% 12.82/1.99 $false|spl0_493),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f4085,f473])).
% 12.82/1.99 fof(f4234,plain,(
% 12.82/1.99 spl0_493),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f4233])).
% 12.82/1.99 fof(f4339,plain,(
% 12.82/1.99 spl0_509 <=> aSubsetOf0(xQ,szNzAzT0)),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f4341,plain,(
% 12.82/1.99 ~aSubsetOf0(xQ,szNzAzT0)|spl0_509),
% 12.82/1.99 inference(component_clause,[status(thm)],[f4339])).
% 12.82/1.99 fof(f4347,plain,(
% 12.82/1.99 $false|spl0_509),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f4341,f455])).
% 12.82/1.99 fof(f4348,plain,(
% 12.82/1.99 spl0_509),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f4347])).
% 12.82/1.99 fof(f4391,plain,(
% 12.82/1.99 spl0_513 <=> aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f4393,plain,(
% 12.82/1.99 ~aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)|spl0_513),
% 12.82/1.99 inference(component_clause,[status(thm)],[f4391])).
% 12.82/1.99 fof(f4394,plain,(
% 12.82/1.99 spl0_514 <=> sdtlpdtrp0(xN,xm)=slcrc0),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f4395,plain,(
% 12.82/1.99 sdtlpdtrp0(xN,xm)=slcrc0|~spl0_514),
% 12.82/1.99 inference(component_clause,[status(thm)],[f4394])).
% 12.82/1.99 fof(f5153,plain,(
% 12.82/1.99 spl0_582 <=> ~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|~aElementOf0(szmzizndt0(X0),xQ)|~aElementOf0(xp,X0)|szmzizndt0(X0)=szmzizndt0(xQ)),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f5154,plain,(
% 12.82/1.99 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|~aElementOf0(szmzizndt0(X0),xQ)|~aElementOf0(xp,X0)|szmzizndt0(X0)=szmzizndt0(xQ)|~spl0_582)),
% 12.82/1.99 inference(component_clause,[status(thm)],[f5153])).
% 12.82/1.99 fof(f5156,plain,(
% 12.82/1.99 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|~aSubsetOf0(xQ,szNzAzT0)|X0=slcrc0|xQ=slcrc0|~aElementOf0(szmzizndt0(X0),xQ)|~aElementOf0(xp,X0)|szmzizndt0(X0)=szmzizndt0(xQ))),
% 12.82/1.99 inference(paramodulation,[status(thm)],[f457,f273])).
% 12.82/1.99 fof(f5157,plain,(
% 12.82/1.99 spl0_582|~spl0_509|spl0_64),
% 12.82/1.99 inference(split_clause,[status(thm)],[f5156,f5153,f4339,f899])).
% 12.82/1.99 fof(f5163,plain,(
% 12.82/1.99 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|~aElementOf0(szmzizndt0(X0),xQ)|~aElementOf0(xp,X0)|szmzizndt0(X0)=xp|~spl0_582)),
% 12.82/1.99 inference(forward_demodulation,[status(thm)],[f457,f5154])).
% 12.82/1.99 fof(f5250,plain,(
% 12.82/1.99 aElementOf0(xp,slcrc0)|~spl0_514),
% 12.82/1.99 inference(backward_demodulation,[status(thm)],[f4395,f478])).
% 12.82/1.99 fof(f5251,plain,(
% 12.82/1.99 $false|~spl0_514),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f5250,f488])).
% 12.82/1.99 fof(f5252,plain,(
% 12.82/1.99 ~spl0_514),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f5251])).
% 12.82/1.99 fof(f5910,plain,(
% 12.82/1.99 spl0_693 <=> aElementOf0(xp,sdtlpdtrp0(xN,xm))),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f5912,plain,(
% 12.82/1.99 ~aElementOf0(xp,sdtlpdtrp0(xN,xm))|spl0_693),
% 12.82/1.99 inference(component_clause,[status(thm)],[f5910])).
% 12.82/1.99 fof(f5913,plain,(
% 12.82/1.99 spl0_694 <=> szmzizndt0(sdtlpdtrp0(xN,xm))=xp),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f5914,plain,(
% 12.82/1.99 szmzizndt0(sdtlpdtrp0(xN,xm))=xp|~spl0_694),
% 12.82/1.99 inference(component_clause,[status(thm)],[f5913])).
% 12.82/1.99 fof(f6853,plain,(
% 12.82/1.99 aElementOf0(sk0_24(xx),szNzAzT0)),
% 12.82/1.99 inference(resolution,[status(thm)],[f472,f448])).
% 12.82/1.99 fof(f6885,plain,(
% 12.82/1.99 aSet0(slbdtrb0(sk0_24(xx)))),
% 12.82/1.99 inference(resolution,[status(thm)],[f6853,f504])).
% 12.82/1.99 fof(f6917,plain,(
% 12.82/1.99 spl0_770 <=> xp=xx),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f6918,plain,(
% 12.82/1.99 xp=xx|~spl0_770),
% 12.82/1.99 inference(component_clause,[status(thm)],[f6917])).
% 12.82/1.99 fof(f6980,plain,(
% 12.82/1.99 $false|~spl0_770),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f6918,f480])).
% 12.82/1.99 fof(f6981,plain,(
% 12.82/1.99 ~spl0_770),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f6980])).
% 12.82/1.99 fof(f7808,plain,(
% 12.82/1.99 spl0_885 <=> aElementOf0(xx,xQ)),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f7810,plain,(
% 12.82/1.99 ~aElementOf0(xx,xQ)|spl0_885),
% 12.82/1.99 inference(component_clause,[status(thm)],[f7808])).
% 12.82/1.99 fof(f7811,plain,(
% 12.82/1.99 ~aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)|sdtlpdtrp0(xN,xm)=slcrc0|~aElementOf0(xx,xQ)|~aElementOf0(xp,sdtlpdtrp0(xN,xm))|szmzizndt0(sdtlpdtrp0(xN,xm))=xp|~spl0_582),
% 12.82/1.99 inference(paramodulation,[status(thm)],[f475,f5163])).
% 12.82/1.99 fof(f7812,plain,(
% 12.82/1.99 ~spl0_513|spl0_514|~spl0_885|~spl0_693|spl0_694|~spl0_582),
% 12.82/1.99 inference(split_clause,[status(thm)],[f7811,f4391,f4394,f7808,f5910,f5913,f5153])).
% 12.82/1.99 fof(f7815,plain,(
% 12.82/1.99 $false|spl0_885),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f7810,f479])).
% 12.82/1.99 fof(f7816,plain,(
% 12.82/1.99 spl0_885),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f7815])).
% 12.82/1.99 fof(f7817,plain,(
% 12.82/1.99 $false|spl0_693),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f5912,f478])).
% 12.82/1.99 fof(f7818,plain,(
% 12.82/1.99 spl0_693),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f7817])).
% 12.82/1.99 fof(f8643,plain,(
% 12.82/1.99 spl0_976 <=> aElementOf0(xn,szDzozmdt0(xd))),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f8645,plain,(
% 12.82/1.99 ~aElementOf0(xn,szDzozmdt0(xd))|spl0_976),
% 12.82/1.99 inference(component_clause,[status(thm)],[f8643])).
% 12.82/1.99 fof(f8651,plain,(
% 12.82/1.99 spl0_978 <=> aElementOf0(xm,szDzozmdt0(xe))),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f8653,plain,(
% 12.82/1.99 ~aElementOf0(xm,szDzozmdt0(xe))|spl0_978),
% 12.82/1.99 inference(component_clause,[status(thm)],[f8651])).
% 12.82/1.99 fof(f8656,plain,(
% 12.82/1.99 spl0_979 <=> aElementOf0(sk0_24(xp),szDzozmdt0(xe))),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f8658,plain,(
% 12.82/1.99 ~aElementOf0(sk0_24(xp),szDzozmdt0(xe))|spl0_979),
% 12.82/1.99 inference(component_clause,[status(thm)],[f8656])).
% 12.82/1.99 fof(f8661,plain,(
% 12.82/1.99 spl0_980 <=> aElementOf0(xn,szDzozmdt0(xe))),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f8663,plain,(
% 12.82/1.99 ~aElementOf0(xn,szDzozmdt0(xe))|spl0_980),
% 12.82/1.99 inference(component_clause,[status(thm)],[f8661])).
% 12.82/1.99 fof(f8666,plain,(
% 12.82/1.99 spl0_981 <=> aElementOf0(sz00,szDzozmdt0(xN))),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f8668,plain,(
% 12.82/1.99 ~aElementOf0(sz00,szDzozmdt0(xN))|spl0_981),
% 12.82/1.99 inference(component_clause,[status(thm)],[f8666])).
% 12.82/1.99 fof(f8674,plain,(
% 12.82/1.99 ~aElementOf0(xn,szNzAzT0)|spl0_976),
% 12.82/1.99 inference(forward_demodulation,[status(thm)],[f437,f8645])).
% 12.82/1.99 fof(f8675,plain,(
% 12.82/1.99 $false|spl0_976),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f8674,f467])).
% 12.82/1.99 fof(f8676,plain,(
% 12.82/1.99 spl0_976),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f8675])).
% 12.82/1.99 fof(f8677,plain,(
% 12.82/1.99 ~aElementOf0(sz00,szNzAzT0)|spl0_981),
% 12.82/1.99 inference(forward_demodulation,[status(thm)],[f398,f8668])).
% 12.82/1.99 fof(f8678,plain,(
% 12.82/1.99 $false|spl0_981),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f8677,f200])).
% 12.82/1.99 fof(f8679,plain,(
% 12.82/1.99 spl0_981),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f8678])).
% 12.82/1.99 fof(f8680,plain,(
% 12.82/1.99 ~aElementOf0(xn,szNzAzT0)|spl0_980),
% 12.82/1.99 inference(forward_demodulation,[status(thm)],[f433,f8663])).
% 12.82/1.99 fof(f8681,plain,(
% 12.82/1.99 $false|spl0_980),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f8680,f467])).
% 12.82/1.99 fof(f8682,plain,(
% 12.82/1.99 spl0_980),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f8681])).
% 12.82/1.99 fof(f8683,plain,(
% 12.82/1.99 ~aElementOf0(sk0_24(xp),szNzAzT0)|spl0_979),
% 12.82/1.99 inference(forward_demodulation,[status(thm)],[f433,f8658])).
% 12.82/1.99 fof(f8684,plain,(
% 12.82/1.99 $false|spl0_979),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f8683,f2465])).
% 12.82/1.99 fof(f8685,plain,(
% 12.82/1.99 spl0_979),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f8684])).
% 12.82/1.99 fof(f8686,plain,(
% 12.82/1.99 ~aElementOf0(xm,szNzAzT0)|spl0_978),
% 12.82/1.99 inference(forward_demodulation,[status(thm)],[f433,f8653])).
% 12.82/1.99 fof(f8687,plain,(
% 12.82/1.99 $false|spl0_978),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f8686,f473])).
% 12.82/1.99 fof(f8688,plain,(
% 12.82/1.99 spl0_978),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f8687])).
% 12.82/1.99 fof(f8981,plain,(
% 12.82/1.99 spl0_1010 <=> aElementOf0(sk0_24(xx),szDzozmdt0(xe))),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f8983,plain,(
% 12.82/1.99 ~aElementOf0(sk0_24(xx),szDzozmdt0(xe))|spl0_1010),
% 12.82/1.99 inference(component_clause,[status(thm)],[f8981])).
% 12.82/1.99 fof(f8986,plain,(
% 12.82/1.99 ~aElementOf0(sk0_24(xx),szNzAzT0)|spl0_1010),
% 12.82/1.99 inference(forward_demodulation,[status(thm)],[f433,f8983])).
% 12.82/1.99 fof(f8987,plain,(
% 12.82/1.99 $false|spl0_1010),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f8986,f6853])).
% 12.82/1.99 fof(f8988,plain,(
% 12.82/1.99 spl0_1010),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f8987])).
% 12.82/1.99 fof(f9011,plain,(
% 12.82/1.99 spl0_1014 <=> aElementOf0(sk0_24(xx),szNzAzT0)),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f9013,plain,(
% 12.82/1.99 ~aElementOf0(sk0_24(xx),szNzAzT0)|spl0_1014),
% 12.82/1.99 inference(component_clause,[status(thm)],[f9011])).
% 12.82/1.99 fof(f9016,plain,(
% 12.82/1.99 spl0_1015 <=> aSet0(slbdtrb0(sk0_24(xx)))),
% 12.82/1.99 introduced(split_symbol_definition)).
% 12.82/1.99 fof(f9018,plain,(
% 12.82/1.99 ~aSet0(slbdtrb0(sk0_24(xx)))|spl0_1015),
% 12.82/1.99 inference(component_clause,[status(thm)],[f9016])).
% 12.82/1.99 fof(f9024,plain,(
% 12.82/1.99 $false|spl0_1015),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f9018,f6885])).
% 12.82/1.99 fof(f9025,plain,(
% 12.82/1.99 spl0_1015),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f9024])).
% 12.82/1.99 fof(f9026,plain,(
% 12.82/1.99 $false|spl0_1014),
% 12.82/1.99 inference(forward_subsumption_resolution,[status(thm)],[f9013,f6853])).
% 12.82/1.99 fof(f9027,plain,(
% 12.82/1.99 spl0_1014),
% 12.82/1.99 inference(contradiction_clause,[status(thm)],[f9026])).
% 12.82/1.99 fof(f9177,plain,(
% 12.82/1.99 ~aElementOf0(xm,szNzAzT0)|spl0_513),
% 12.82/1.99 inference(resolution,[status(thm)],[f4393,f403])).
% 12.82/1.99 fof(f9178,plain,(
% 12.82/1.99 ~spl0_493|spl0_513),
% 12.82/1.99 inference(split_clause,[status(thm)],[f9177,f4083,f4391])).
% 12.82/1.99 fof(f9183,plain,(
% 12.82/1.99 xx=xp|~spl0_694),
% 12.82/1.99 inference(forward_demodulation,[status(thm)],[f475,f5914])).
% 12.82/1.99 fof(f9188,plain,(
% 12.82/1.99 spl0_770|~spl0_694),
% 12.82/1.99 inference(split_clause,[status(thm)],[f9183,f6917,f5913])).
% 12.82/1.99 fof(f9189,plain,(
% 12.82/1.99 $false),
% 12.82/2.00 inference(sat_refutation,[status(thm)],[f2216,f4234,f4348,f5157,f5252,f6981,f7812,f7816,f7818,f8676,f8679,f8682,f8685,f8688,f8988,f9025,f9027,f9178,f9188])).
% 12.82/2.00 % SZS output end CNFRefutation for theBenchmark.p
% 12.82/2.02 % Elapsed time: 1.668788 seconds
% 12.82/2.02 % CPU time: 13.088121 seconds
% 12.82/2.02 % Memory used: 158.121 MB
%------------------------------------------------------------------------------