TSTP Solution File: NUM545+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM545+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:29:38 EDT 2023
% Result : Theorem 1.73s 0.59s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM545+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:52:16 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 1.73/0.59 % Refutation found
% 1.73/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.73/0.59 % SZS output start CNFRefutation for theBenchmark
% 1.73/0.59 fof(f10,definition,(
% 1.73/0.59 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f12,axiom,(
% 1.73/0.59 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f14,axiom,(
% 1.73/0.59 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f23,axiom,(
% 1.73/0.59 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f24,axiom,(
% 1.73/0.59 aElementOf0(sz00,szNzAzT0) ),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f25,axiom,(
% 1.73/0.59 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)& szszuzczcdt0(W0) != sz00 ) ) )),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f30,axiom,(
% 1.73/0.59 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f48,definition,(
% 1.73/0.59 (! [W0] :( ( aSubsetOf0(W0,szNzAzT0)& isFinite0(W0)& W0 != slcrc0 )=> (! [W1] :( W1 = szmzazxdt0(W0)<=> ( aElementOf0(W1,W0)& (! [W2] :( aElementOf0(W2,W0)=> sdtlseqdt0(W2,W1) ) )) ) )) )),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f50,definition,(
% 1.73/0.59 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( W1 = slbdtrb0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> ( aElementOf0(W2,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )) ) )) )),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f52,axiom,(
% 1.73/0.59 slbdtrb0(sz00) = slcrc0 ),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f54,axiom,(
% 1.73/0.59 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W0,W1)<=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) )),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f55,hypothesis,(
% 1.73/0.59 ( aSubsetOf0(xS,szNzAzT0)& isFinite0(xS) ) ),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f56,hypothesis,(
% 1.73/0.59 ( xS != slcrc0=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f57,conjecture,(
% 1.73/0.59 (? [W0] :( aElementOf0(W0,szNzAzT0)& aSubsetOf0(xS,slbdtrb0(W0)) ) )),
% 1.73/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.73/0.59 fof(f58,negated_conjecture,(
% 1.73/0.59 ~((? [W0] :( aElementOf0(W0,szNzAzT0)& aSubsetOf0(xS,slbdtrb0(W0)) ) ))),
% 1.73/0.59 inference(negated_conjecture,[status(cth)],[f57])).
% 1.73/0.59 fof(f83,plain,(
% 1.73/0.59 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 1.73/0.59 fof(f84,plain,(
% 1.73/0.59 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 1.73/0.59 inference(NNF_transformation,[status(esa)],[f83])).
% 1.73/0.59 fof(f85,plain,(
% 1.73/0.59 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 1.73/0.59 inference(miniscoping,[status(esa)],[f84])).
% 1.73/0.59 fof(f86,plain,(
% 1.73/0.59 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_1(W1,W0),W1)&~aElementOf0(sk0_1(W1,W0),W0)))))))),
% 1.73/0.59 inference(skolemization,[status(esa)],[f85])).
% 1.73/0.59 fof(f87,plain,(
% 1.73/0.59 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f86])).
% 1.73/0.59 fof(f88,plain,(
% 1.73/0.59 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f86])).
% 1.73/0.59 fof(f89,plain,(
% 1.73/0.59 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|aElementOf0(sk0_1(X1,X0),X1))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f86])).
% 1.73/0.59 fof(f90,plain,(
% 1.73/0.59 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|~aElementOf0(sk0_1(X1,X0),X0))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f86])).
% 1.73/0.59 fof(f93,plain,(
% 1.73/0.59 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 1.73/0.59 fof(f94,plain,(
% 1.73/0.59 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f93])).
% 1.73/0.59 fof(f97,plain,(
% 1.73/0.59 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 1.73/0.59 fof(f98,plain,(
% 1.73/0.59 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f97])).
% 1.73/0.59 fof(f135,plain,(
% 1.73/0.59 aSet0(szNzAzT0)),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f23])).
% 1.73/0.59 fof(f137,plain,(
% 1.73/0.59 aElementOf0(sz00,szNzAzT0)),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f24])).
% 1.73/0.59 fof(f138,plain,(
% 1.73/0.59 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(szszuzczcdt0(W0),szNzAzT0)&~szszuzczcdt0(W0)=sz00))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 1.73/0.59 fof(f139,plain,(
% 1.73/0.59 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f138])).
% 1.73/0.59 fof(f151,plain,(
% 1.73/0.59 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 1.73/0.59 fof(f152,plain,(
% 1.73/0.59 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f151])).
% 1.73/0.59 fof(f201,plain,(
% 1.73/0.59 ![W0]: (((~aSubsetOf0(W0,szNzAzT0)|~isFinite0(W0))|W0=slcrc0)|(![W1]: (W1=szmzazxdt0(W0)<=>(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W2,W1)))))))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 1.73/0.59 fof(f202,plain,(
% 1.73/0.59 ![W0]: (((~aSubsetOf0(W0,szNzAzT0)|~isFinite0(W0))|W0=slcrc0)|(![W1]: ((~W1=szmzazxdt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W2,W1)))))&(W1=szmzazxdt0(W0)|(~aElementOf0(W1,W0)|(?[W2]: (aElementOf0(W2,W0)&~sdtlseqdt0(W2,W1))))))))),
% 1.73/0.59 inference(NNF_transformation,[status(esa)],[f201])).
% 1.73/0.59 fof(f203,plain,(
% 1.73/0.59 ![W0]: (((~aSubsetOf0(W0,szNzAzT0)|~isFinite0(W0))|W0=slcrc0)|((![W1]: (~W1=szmzazxdt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W2,W1))))))&(![W1]: (W1=szmzazxdt0(W0)|(~aElementOf0(W1,W0)|(?[W2]: (aElementOf0(W2,W0)&~sdtlseqdt0(W2,W1))))))))),
% 1.73/0.59 inference(miniscoping,[status(esa)],[f202])).
% 1.73/0.59 fof(f204,plain,(
% 1.73/0.59 ![W0]: (((~aSubsetOf0(W0,szNzAzT0)|~isFinite0(W0))|W0=slcrc0)|((![W1]: (~W1=szmzazxdt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W2,W1))))))&(![W1]: (W1=szmzazxdt0(W0)|(~aElementOf0(W1,W0)|(aElementOf0(sk0_7(W1,W0),W0)&~sdtlseqdt0(sk0_7(W1,W0),W1)))))))),
% 1.73/0.59 inference(skolemization,[status(esa)],[f203])).
% 1.73/0.59 fof(f205,plain,(
% 1.73/0.59 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|~X1=szmzazxdt0(X0)|aElementOf0(X1,X0))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f204])).
% 1.73/0.59 fof(f211,plain,(
% 1.73/0.59 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: (W1=slbdtrb0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 1.73/0.59 fof(f212,plain,(
% 1.73/0.59 ![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))))))))))),
% 1.73/0.59 inference(NNF_transformation,[status(esa)],[f211])).
% 1.73/0.59 fof(f213,plain,(
% 1.73/0.59 ![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))))))))))),
% 1.73/0.59 inference(miniscoping,[status(esa)],[f212])).
% 1.73/0.59 fof(f214,plain,(
% 1.73/0.59 ![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)))))))))),
% 1.73/0.59 inference(skolemization,[status(esa)],[f213])).
% 1.73/0.59 fof(f215,plain,(
% 1.73/0.59 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|aSet0(X1))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f214])).
% 1.73/0.59 fof(f224,plain,(
% 1.73/0.59 slbdtrb0(sz00)=slcrc0),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f52])).
% 1.73/0.59 fof(f230,plain,(
% 1.73/0.59 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(sdtlseqdt0(W0,W1)<=>aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1))))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 1.73/0.59 fof(f231,plain,(
% 1.73/0.59 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)))&(sdtlseqdt0(W0,W1)|~aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)))))),
% 1.73/0.59 inference(NNF_transformation,[status(esa)],[f230])).
% 1.73/0.59 fof(f232,plain,(
% 1.73/0.59 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f231])).
% 1.73/0.59 fof(f233,plain,(
% 1.73/0.59 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|~aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f231])).
% 1.73/0.59 fof(f234,plain,(
% 1.73/0.59 aSubsetOf0(xS,szNzAzT0)),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f55])).
% 1.73/0.59 fof(f235,plain,(
% 1.73/0.59 isFinite0(xS)),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f55])).
% 1.73/0.59 fof(f236,plain,(
% 1.73/0.59 xS=slcrc0|aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 1.73/0.59 fof(f237,plain,(
% 1.73/0.59 xS=slcrc0|aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f236])).
% 1.73/0.59 fof(f238,plain,(
% 1.73/0.59 (![W0]: (~aElementOf0(W0,szNzAzT0)|~aSubsetOf0(xS,slbdtrb0(W0))))),
% 1.73/0.59 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 1.73/0.59 fof(f239,plain,(
% 1.73/0.59 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(xS,slbdtrb0(X0)))),
% 1.73/0.59 inference(cnf_transformation,[status(esa)],[f238])).
% 1.73/0.59 fof(f246,plain,(
% 1.73/0.59 spl0_0 <=> xS=slcrc0),
% 1.73/0.59 introduced(split_symbol_definition)).
% 1.73/0.59 fof(f247,plain,(
% 1.73/0.59 xS=slcrc0|~spl0_0),
% 1.73/0.59 inference(component_clause,[status(thm)],[f246])).
% 1.73/0.59 fof(f249,plain,(
% 1.73/0.59 spl0_1 <=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))),
% 1.73/0.59 introduced(split_symbol_definition)).
% 1.73/0.59 fof(f250,plain,(
% 1.73/0.60 aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))|~spl0_1),
% 1.73/0.60 inference(component_clause,[status(thm)],[f249])).
% 1.73/0.60 fof(f252,plain,(
% 1.73/0.60 spl0_0|spl0_1),
% 1.73/0.60 inference(split_clause,[status(thm)],[f237,f246,f249])).
% 1.73/0.60 fof(f268,plain,(
% 1.73/0.60 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|aElementOf0(szmzazxdt0(X0),X0))),
% 1.73/0.60 inference(destructive_equality_resolution,[status(esa)],[f205])).
% 1.73/0.60 fof(f270,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(slbdtrb0(X0)))),
% 1.73/0.60 inference(destructive_equality_resolution,[status(esa)],[f215])).
% 1.73/0.60 fof(f277,plain,(
% 1.73/0.60 spl0_2 <=> aSet0(szNzAzT0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f279,plain,(
% 1.73/0.60 ~aSet0(szNzAzT0)|spl0_2),
% 1.73/0.60 inference(component_clause,[status(thm)],[f277])).
% 1.73/0.60 fof(f280,plain,(
% 1.73/0.60 spl0_3 <=> aSet0(xS)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f283,plain,(
% 1.73/0.60 ~aSet0(szNzAzT0)|aSet0(xS)),
% 1.73/0.60 inference(resolution,[status(thm)],[f87,f234])).
% 1.73/0.60 fof(f284,plain,(
% 1.73/0.60 ~spl0_2|spl0_3),
% 1.73/0.60 inference(split_clause,[status(thm)],[f283,f277,f280])).
% 1.73/0.60 fof(f285,plain,(
% 1.73/0.60 spl0_4 <=> ~aElementOf0(X0,xS)|aElementOf0(X0,szNzAzT0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f286,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,xS)|aElementOf0(X0,szNzAzT0)|~spl0_4)),
% 1.73/0.60 inference(component_clause,[status(thm)],[f285])).
% 1.73/0.60 fof(f288,plain,(
% 1.73/0.60 ![X0]: (~aSet0(szNzAzT0)|~aElementOf0(X0,xS)|aElementOf0(X0,szNzAzT0))),
% 1.73/0.60 inference(resolution,[status(thm)],[f88,f234])).
% 1.73/0.60 fof(f289,plain,(
% 1.73/0.60 ~spl0_2|spl0_4),
% 1.73/0.60 inference(split_clause,[status(thm)],[f288,f277,f285])).
% 1.73/0.60 fof(f300,plain,(
% 1.73/0.60 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 1.73/0.60 inference(forward_subsumption_resolution,[status(thm)],[f98,f87])).
% 1.73/0.60 fof(f320,plain,(
% 1.73/0.60 spl0_8 <=> ~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,sz00)|aSubsetOf0(slbdtrb0(X0),slcrc0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f321,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,sz00)|aSubsetOf0(slbdtrb0(X0),slcrc0)|~spl0_8)),
% 1.73/0.60 inference(component_clause,[status(thm)],[f320])).
% 1.73/0.60 fof(f323,plain,(
% 1.73/0.60 spl0_9 <=> aElementOf0(sz00,szNzAzT0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f325,plain,(
% 1.73/0.60 ~aElementOf0(sz00,szNzAzT0)|spl0_9),
% 1.73/0.60 inference(component_clause,[status(thm)],[f323])).
% 1.73/0.60 fof(f326,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(X0,sz00)|aSubsetOf0(slbdtrb0(X0),slcrc0))),
% 1.73/0.60 inference(paramodulation,[status(thm)],[f224,f232])).
% 1.73/0.60 fof(f327,plain,(
% 1.73/0.60 spl0_8|~spl0_9),
% 1.73/0.60 inference(split_clause,[status(thm)],[f326,f320,f323])).
% 1.73/0.60 fof(f328,plain,(
% 1.73/0.60 spl0_10 <=> ~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(sz00,X0)|aSubsetOf0(slcrc0,slbdtrb0(X0))),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f329,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(sz00,X0)|aSubsetOf0(slcrc0,slbdtrb0(X0))|~spl0_10)),
% 1.73/0.60 inference(component_clause,[status(thm)],[f328])).
% 1.73/0.60 fof(f331,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(sz00,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(sz00,X0)|aSubsetOf0(slcrc0,slbdtrb0(X0)))),
% 1.73/0.60 inference(paramodulation,[status(thm)],[f224,f232])).
% 1.73/0.60 fof(f332,plain,(
% 1.73/0.60 ~spl0_9|spl0_10),
% 1.73/0.60 inference(split_clause,[status(thm)],[f331,f323,f328])).
% 1.73/0.60 fof(f343,plain,(
% 1.73/0.60 spl0_13 <=> aSubsetOf0(xS,slcrc0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f345,plain,(
% 1.73/0.60 ~aSubsetOf0(xS,slcrc0)|spl0_13),
% 1.73/0.60 inference(component_clause,[status(thm)],[f343])).
% 1.73/0.60 fof(f348,plain,(
% 1.73/0.60 $false|spl0_9),
% 1.73/0.60 inference(forward_subsumption_resolution,[status(thm)],[f325,f137])).
% 1.73/0.60 fof(f349,plain,(
% 1.73/0.60 spl0_9),
% 1.73/0.60 inference(contradiction_clause,[status(thm)],[f348])).
% 1.73/0.60 fof(f427,plain,(
% 1.73/0.60 $false|spl0_2),
% 1.73/0.60 inference(forward_subsumption_resolution,[status(thm)],[f279,f135])).
% 1.73/0.60 fof(f428,plain,(
% 1.73/0.60 spl0_2),
% 1.73/0.60 inference(contradiction_clause,[status(thm)],[f427])).
% 1.73/0.60 fof(f453,plain,(
% 1.73/0.60 spl0_30 <=> sdtlseqdt0(sz00,sz00)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f455,plain,(
% 1.73/0.60 ~sdtlseqdt0(sz00,sz00)|spl0_30),
% 1.73/0.60 inference(component_clause,[status(thm)],[f453])).
% 1.73/0.60 fof(f456,plain,(
% 1.73/0.60 spl0_31 <=> aSubsetOf0(slcrc0,slcrc0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f457,plain,(
% 1.73/0.60 aSubsetOf0(slcrc0,slcrc0)|~spl0_31),
% 1.73/0.60 inference(component_clause,[status(thm)],[f456])).
% 1.73/0.60 fof(f459,plain,(
% 1.73/0.60 ~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(sz00,sz00)|aSubsetOf0(slcrc0,slcrc0)|~spl0_8),
% 1.73/0.60 inference(paramodulation,[status(thm)],[f224,f321])).
% 1.73/0.60 fof(f460,plain,(
% 1.73/0.60 ~spl0_9|~spl0_30|spl0_31|~spl0_8),
% 1.73/0.60 inference(split_clause,[status(thm)],[f459,f323,f453,f456,f320])).
% 1.73/0.60 fof(f467,plain,(
% 1.73/0.60 spl0_33 <=> aElementOf0(sk0_1(xS,X0),szNzAzT0)|~aSet0(X0)|aSubsetOf0(xS,X0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f468,plain,(
% 1.73/0.60 ![X0]: (aElementOf0(sk0_1(xS,X0),szNzAzT0)|~aSet0(X0)|aSubsetOf0(xS,X0)|~spl0_33)),
% 1.73/0.60 inference(component_clause,[status(thm)],[f467])).
% 1.73/0.60 fof(f470,plain,(
% 1.73/0.60 ![X0]: (aElementOf0(sk0_1(xS,X0),szNzAzT0)|~aSet0(X0)|aSubsetOf0(xS,X0)|~aSet0(xS)|~spl0_4)),
% 1.73/0.60 inference(resolution,[status(thm)],[f286,f89])).
% 1.73/0.60 fof(f471,plain,(
% 1.73/0.60 spl0_33|~spl0_3|~spl0_4),
% 1.73/0.60 inference(split_clause,[status(thm)],[f470,f467,f280,f285])).
% 1.73/0.60 fof(f477,plain,(
% 1.73/0.60 spl0_35 <=> aSubsetOf0(xS,szNzAzT0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f508,plain,(
% 1.73/0.60 ~aSubsetOf0(slcrc0,slcrc0)|~spl0_0|spl0_13),
% 1.73/0.60 inference(backward_demodulation,[status(thm)],[f247,f345])).
% 1.73/0.60 fof(f583,plain,(
% 1.73/0.60 ~aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)|~spl0_1),
% 1.73/0.60 inference(resolution,[status(thm)],[f239,f250])).
% 1.73/0.60 fof(f598,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,X0)|~aSet0(slbdtrb0(X0)))),
% 1.73/0.60 inference(resolution,[status(thm)],[f233,f94])).
% 1.73/0.60 fof(f599,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,X0)|~aSet0(slbdtrb0(X0)))),
% 1.73/0.60 inference(duplicate_literals_removal,[status(esa)],[f598])).
% 1.73/0.60 fof(f600,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,X0))),
% 1.73/0.60 inference(forward_subsumption_resolution,[status(thm)],[f599,f270])).
% 1.73/0.60 fof(f675,plain,(
% 1.73/0.60 sdtlseqdt0(sz00,sz00)),
% 1.73/0.60 inference(resolution,[status(thm)],[f137,f600])).
% 1.73/0.60 fof(f676,plain,(
% 1.73/0.60 $false|spl0_30),
% 1.73/0.60 inference(forward_subsumption_resolution,[status(thm)],[f675,f455])).
% 1.73/0.60 fof(f677,plain,(
% 1.73/0.60 spl0_30),
% 1.73/0.60 inference(contradiction_clause,[status(thm)],[f676])).
% 1.73/0.60 fof(f684,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSubsetOf0(slcrc0,slbdtrb0(X0))|~spl0_10)),
% 1.73/0.60 inference(backward_subsumption_resolution,[status(thm)],[f329,f152])).
% 1.73/0.60 fof(f714,plain,(
% 1.73/0.60 spl0_58 <=> isFinite0(xS)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f716,plain,(
% 1.73/0.60 ~isFinite0(xS)|spl0_58),
% 1.73/0.60 inference(component_clause,[status(thm)],[f714])).
% 1.73/0.60 fof(f820,plain,(
% 1.73/0.60 ~aSet0(szNzAzT0)|aSubsetOf0(xS,szNzAzT0)|~aSet0(szNzAzT0)|aSubsetOf0(xS,szNzAzT0)|~aSet0(xS)|~spl0_33),
% 1.73/0.60 inference(resolution,[status(thm)],[f468,f90])).
% 1.73/0.60 fof(f821,plain,(
% 1.73/0.60 ~spl0_2|spl0_35|~spl0_3|~spl0_33),
% 1.73/0.60 inference(split_clause,[status(thm)],[f820,f277,f477,f280,f467])).
% 1.73/0.60 fof(f1047,plain,(
% 1.73/0.60 ~aElementOf0(szmzazxdt0(xS),szNzAzT0)|~spl0_1),
% 1.73/0.60 inference(resolution,[status(thm)],[f139,f583])).
% 1.73/0.60 fof(f1202,plain,(
% 1.73/0.60 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X2)|~aSubsetOf0(X2,X0)|aSubsetOf0(X1,X0))),
% 1.73/0.60 inference(forward_subsumption_resolution,[status(thm)],[f300,f87])).
% 1.73/0.60 fof(f1218,plain,(
% 1.73/0.60 ![X0,X1]: (~aSet0(slbdtrb0(X0))|~aSubsetOf0(X1,slcrc0)|aSubsetOf0(X1,slbdtrb0(X0))|~aElementOf0(X0,szNzAzT0)|~spl0_10)),
% 1.73/0.60 inference(resolution,[status(thm)],[f1202,f684])).
% 1.73/0.60 fof(f1219,plain,(
% 1.73/0.60 ![X0,X1]: (~aSubsetOf0(X0,slcrc0)|aSubsetOf0(X0,slbdtrb0(X1))|~aElementOf0(X1,szNzAzT0)|~spl0_10)),
% 1.73/0.60 inference(forward_subsumption_resolution,[status(thm)],[f1218,f270])).
% 1.73/0.60 fof(f1580,plain,(
% 1.73/0.60 spl0_154 <=> ~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f1581,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~spl0_154)),
% 1.73/0.60 inference(component_clause,[status(thm)],[f1580])).
% 1.73/0.60 fof(f1583,plain,(
% 1.73/0.60 ![X0]: (~aSubsetOf0(xS,slcrc0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~spl0_10)),
% 1.73/0.60 inference(resolution,[status(thm)],[f1219,f239])).
% 1.73/0.60 fof(f1584,plain,(
% 1.73/0.60 ~spl0_13|spl0_154|~spl0_10),
% 1.73/0.60 inference(split_clause,[status(thm)],[f1583,f343,f1580,f328])).
% 1.73/0.60 fof(f2525,plain,(
% 1.73/0.60 ![X0]: (~aElementOf0(X0,szNzAzT0)|~spl0_154)),
% 1.73/0.60 inference(duplicate_literals_removal,[status(esa)],[f1581])).
% 1.73/0.60 fof(f2529,plain,(
% 1.73/0.60 $false|~spl0_154),
% 1.73/0.60 inference(backward_subsumption_resolution,[status(thm)],[f137,f2525])).
% 1.73/0.60 fof(f2530,plain,(
% 1.73/0.60 ~spl0_154),
% 1.73/0.60 inference(contradiction_clause,[status(thm)],[f2529])).
% 1.73/0.60 fof(f3320,plain,(
% 1.73/0.60 spl0_296 <=> aElementOf0(szmzazxdt0(xS),szNzAzT0)),
% 1.73/0.60 introduced(split_symbol_definition)).
% 1.73/0.60 fof(f3321,plain,(
% 1.73/0.60 aElementOf0(szmzazxdt0(xS),szNzAzT0)|~spl0_296),
% 1.73/0.60 inference(component_clause,[status(thm)],[f3320])).
% 1.73/0.60 fof(f3924,plain,(
% 1.73/0.60 ~aSubsetOf0(xS,szNzAzT0)|~isFinite0(xS)|xS=slcrc0|aElementOf0(szmzazxdt0(xS),szNzAzT0)|~spl0_4),
% 1.73/0.60 inference(resolution,[status(thm)],[f268,f286])).
% 1.73/0.60 fof(f3925,plain,(
% 1.73/0.60 ~spl0_35|~spl0_58|spl0_0|spl0_296|~spl0_4),
% 1.73/0.60 inference(split_clause,[status(thm)],[f3924,f477,f714,f246,f3320,f285])).
% 1.73/0.60 fof(f4018,plain,(
% 1.73/0.60 $false|spl0_58),
% 1.73/0.60 inference(forward_subsumption_resolution,[status(thm)],[f716,f235])).
% 1.73/0.60 fof(f4019,plain,(
% 1.73/0.60 spl0_58),
% 1.73/0.60 inference(contradiction_clause,[status(thm)],[f4018])).
% 1.73/0.60 fof(f4020,plain,(
% 1.73/0.60 $false|~spl0_1|~spl0_296),
% 1.73/0.60 inference(forward_subsumption_resolution,[status(thm)],[f3321,f1047])).
% 1.73/0.60 fof(f4021,plain,(
% 1.73/0.60 ~spl0_1|~spl0_296),
% 1.73/0.60 inference(contradiction_clause,[status(thm)],[f4020])).
% 1.73/0.61 fof(f4024,plain,(
% 1.73/0.61 $false|~spl0_31|~spl0_0|spl0_13),
% 1.73/0.61 inference(forward_subsumption_resolution,[status(thm)],[f508,f457])).
% 1.73/0.61 fof(f4025,plain,(
% 1.73/0.61 ~spl0_31|~spl0_0|spl0_13),
% 1.73/0.61 inference(contradiction_clause,[status(thm)],[f4024])).
% 1.73/0.61 fof(f4026,plain,(
% 1.73/0.61 $false),
% 1.73/0.61 inference(sat_refutation,[status(thm)],[f252,f284,f289,f327,f332,f349,f428,f460,f471,f677,f821,f1584,f2530,f3925,f4019,f4021,f4025])).
% 1.73/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 1.73/0.61 % Elapsed time: 0.307980 seconds
% 1.73/0.61 % CPU time: 1.899020 seconds
% 1.73/0.61 % Memory used: 77.529 MB
%------------------------------------------------------------------------------