TSTP Solution File: NUM543+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM543+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:29:37 EDT 2023
% Result : Theorem 45.33s 6.09s
% Output : CNFRefutation 45.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM543+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.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 : Tue May 30 09:45:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.36 % Drodi V3.5.1
% 45.33/6.09 % Refutation found
% 45.33/6.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 45.33/6.09 % SZS output start CNFRefutation for theBenchmark
% 45.33/6.09 fof(f5,definition,(
% 45.33/6.09 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f10,definition,(
% 45.33/6.09 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f12,axiom,(
% 45.33/6.09 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f14,axiom,(
% 45.33/6.09 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f23,axiom,(
% 45.33/6.09 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f24,axiom,(
% 45.33/6.09 aElementOf0(sz00,szNzAzT0) ),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f25,axiom,(
% 45.33/6.09 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)& szszuzczcdt0(W0) != sz00 ) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f28,axiom,(
% 45.33/6.09 (! [W0] :( aElementOf0(W0,szNzAzT0)=> W0 != szszuzczcdt0(W0) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f33,axiom,(
% 45.33/6.09 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f35,axiom,(
% 45.33/6.09 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f36,axiom,(
% 45.33/6.09 (! [W0,W1,W2] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0)& aElementOf0(W2,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f37,axiom,(
% 45.33/6.09 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W0,W1)| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f48,definition,(
% 45.33/6.09 (! [W0] :( ( aSubsetOf0(W0,szNzAzT0)& isFinite0(W0)& W0 != slcrc0 )=> (! [W1] :( W1 = szmzazxdt0(W0)<=> ( aElementOf0(W1,W0)& (! [W2] :( aElementOf0(W2,W0)=> sdtlseqdt0(W2,W1) ) )) ) )) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f52,axiom,(
% 45.33/6.09 slbdtrb0(sz00) = slcrc0 ),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f55,hypothesis,(
% 45.33/6.09 ( aSet0(xS)& (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xS,szNzAzT0)& isFinite0(xS) ) ),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f56,conjecture,(
% 45.33/6.09 (? [W0] :( aElementOf0(W0,szNzAzT0)& ( ( aSet0(slbdtrb0(W0))& (! [W1] :( aElementOf0(W1,slbdtrb0(W0))<=> ( aElementOf0(W1,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ))=> ( (! [W1] :( aElementOf0(W1,xS)=> aElementOf0(W1,slbdtrb0(W0)) ))| aSubsetOf0(xS,slbdtrb0(W0)) ) ) ) )),
% 45.33/6.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 45.33/6.09 fof(f57,negated_conjecture,(
% 45.33/6.09 ~((? [W0] :( aElementOf0(W0,szNzAzT0)& ( ( aSet0(slbdtrb0(W0))& (! [W1] :( aElementOf0(W1,slbdtrb0(W0))<=> ( aElementOf0(W1,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ))=> ( (! [W1] :( aElementOf0(W1,xS)=> aElementOf0(W1,slbdtrb0(W0)) ))| aSubsetOf0(xS,slbdtrb0(W0)) ) ) ) ))),
% 45.33/6.09 inference(negated_conjecture,[status(cth)],[f56])).
% 45.33/6.09 fof(f68,plain,(
% 45.33/6.09 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 45.33/6.09 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 45.33/6.09 fof(f69,plain,(
% 45.33/6.09 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 45.33/6.09 inference(NNF_transformation,[status(esa)],[f68])).
% 45.33/6.09 fof(f70,plain,(
% 45.33/6.09 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 45.33/6.09 inference(miniscoping,[status(esa)],[f69])).
% 45.33/6.09 fof(f71,plain,(
% 45.33/6.10 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 45.33/6.10 inference(skolemization,[status(esa)],[f70])).
% 45.33/6.10 fof(f72,plain,(
% 45.33/6.10 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f71])).
% 45.33/6.10 fof(f73,plain,(
% 45.33/6.10 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f71])).
% 45.33/6.10 fof(f82,plain,(
% 45.33/6.10 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 45.33/6.10 fof(f83,plain,(
% 45.33/6.10 ![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))))))))),
% 45.33/6.10 inference(NNF_transformation,[status(esa)],[f82])).
% 45.33/6.10 fof(f84,plain,(
% 45.33/6.10 ![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))))))))),
% 45.33/6.10 inference(miniscoping,[status(esa)],[f83])).
% 45.33/6.10 fof(f85,plain,(
% 45.33/6.10 ![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)))))))),
% 45.33/6.10 inference(skolemization,[status(esa)],[f84])).
% 45.33/6.10 fof(f86,plain,(
% 45.33/6.10 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f85])).
% 45.33/6.10 fof(f87,plain,(
% 45.33/6.10 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f85])).
% 45.33/6.10 fof(f88,plain,(
% 45.33/6.10 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|aElementOf0(sk0_1(X1,X0),X1))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f85])).
% 45.33/6.10 fof(f89,plain,(
% 45.33/6.10 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|~aElementOf0(sk0_1(X1,X0),X0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f85])).
% 45.33/6.10 fof(f92,plain,(
% 45.33/6.10 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 45.33/6.10 fof(f93,plain,(
% 45.33/6.10 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f92])).
% 45.33/6.10 fof(f96,plain,(
% 45.33/6.10 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 45.33/6.10 fof(f97,plain,(
% 45.33/6.10 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f96])).
% 45.33/6.10 fof(f134,plain,(
% 45.33/6.10 aSet0(szNzAzT0)),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f23])).
% 45.33/6.10 fof(f136,plain,(
% 45.33/6.10 aElementOf0(sz00,szNzAzT0)),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f24])).
% 45.33/6.10 fof(f137,plain,(
% 45.33/6.10 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(szszuzczcdt0(W0),szNzAzT0)&~szszuzczcdt0(W0)=sz00))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 45.33/6.10 fof(f138,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f137])).
% 45.33/6.10 fof(f146,plain,(
% 45.33/6.10 ![W0]: (~aElementOf0(W0,szNzAzT0)|~W0=szszuzczcdt0(W0))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 45.33/6.10 fof(f147,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~X0=szszuzczcdt0(X0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f146])).
% 45.33/6.10 fof(f158,plain,(
% 45.33/6.10 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(W0,szszuzczcdt0(W0)))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 45.33/6.10 fof(f159,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,szszuzczcdt0(X0)))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f158])).
% 45.33/6.10 fof(f162,plain,(
% 45.33/6.10 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 45.33/6.10 fof(f163,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f162])).
% 45.33/6.10 fof(f164,plain,(
% 45.33/6.10 ![W0,W1,W2]: (((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|~aElementOf0(W2,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 45.33/6.10 fof(f165,plain,(
% 45.33/6.10 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f164])).
% 45.33/6.10 fof(f166,plain,(
% 45.33/6.10 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(sdtlseqdt0(W0,W1)|sdtlseqdt0(szszuzczcdt0(W1),W0)))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 45.33/6.10 fof(f167,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f166])).
% 45.33/6.10 fof(f200,plain,(
% 45.33/6.10 ![W0]: (((~aSubsetOf0(W0,szNzAzT0)|~isFinite0(W0))|W0=slcrc0)|(![W1]: (W1=szmzazxdt0(W0)<=>(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W2,W1)))))))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 45.33/6.10 fof(f201,plain,(
% 45.33/6.10 ![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))))))))),
% 45.33/6.10 inference(NNF_transformation,[status(esa)],[f200])).
% 45.33/6.10 fof(f202,plain,(
% 45.33/6.10 ![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))))))))),
% 45.33/6.10 inference(miniscoping,[status(esa)],[f201])).
% 45.33/6.10 fof(f203,plain,(
% 45.33/6.10 ![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)))))))),
% 45.33/6.10 inference(skolemization,[status(esa)],[f202])).
% 45.33/6.10 fof(f204,plain,(
% 45.33/6.10 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|~X1=szmzazxdt0(X0)|aElementOf0(X1,X0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f203])).
% 45.33/6.10 fof(f205,plain,(
% 45.33/6.10 ![X0,X1,X2]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|~X1=szmzazxdt0(X0)|~aElementOf0(X2,X0)|sdtlseqdt0(X2,X1))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f203])).
% 45.33/6.10 fof(f223,plain,(
% 45.33/6.10 slbdtrb0(sz00)=slcrc0),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f52])).
% 45.33/6.10 fof(f233,plain,(
% 45.33/6.10 ((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&isFinite0(xS)),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 45.33/6.10 fof(f235,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,xS)|aElementOf0(X0,szNzAzT0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f233])).
% 45.33/6.10 fof(f236,plain,(
% 45.33/6.10 aSubsetOf0(xS,szNzAzT0)),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f233])).
% 45.33/6.10 fof(f237,plain,(
% 45.33/6.10 isFinite0(xS)),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f233])).
% 45.33/6.10 fof(f238,plain,(
% 45.33/6.10 (![W0]: (~aElementOf0(W0,szNzAzT0)|((aSet0(slbdtrb0(W0))&(![W1]: (aElementOf0(W1,slbdtrb0(W0))<=>(aElementOf0(W1,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W1),W0)))))&((?[W1]: (aElementOf0(W1,xS)&~aElementOf0(W1,slbdtrb0(W0))))&~aSubsetOf0(xS,slbdtrb0(W0))))))),
% 45.33/6.10 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 45.33/6.10 fof(f239,plain,(
% 45.33/6.10 ![W0]: (~aElementOf0(W0,szNzAzT0)|((aSet0(slbdtrb0(W0))&(![W1]: ((~aElementOf0(W1,slbdtrb0(W0))|(aElementOf0(W1,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W1),W0)))&(aElementOf0(W1,slbdtrb0(W0))|(~aElementOf0(W1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W1),W0))))))&((?[W1]: (aElementOf0(W1,xS)&~aElementOf0(W1,slbdtrb0(W0))))&~aSubsetOf0(xS,slbdtrb0(W0)))))),
% 45.33/6.10 inference(NNF_transformation,[status(esa)],[f238])).
% 45.33/6.10 fof(f240,plain,(
% 45.33/6.10 ![W0]: (~aElementOf0(W0,szNzAzT0)|((aSet0(slbdtrb0(W0))&((![W1]: (~aElementOf0(W1,slbdtrb0(W0))|(aElementOf0(W1,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W1),W0))))&(![W1]: (aElementOf0(W1,slbdtrb0(W0))|(~aElementOf0(W1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W1),W0))))))&((?[W1]: (aElementOf0(W1,xS)&~aElementOf0(W1,slbdtrb0(W0))))&~aSubsetOf0(xS,slbdtrb0(W0)))))),
% 45.33/6.10 inference(miniscoping,[status(esa)],[f239])).
% 45.33/6.10 fof(f241,plain,(
% 45.33/6.10 ![W0]: (~aElementOf0(W0,szNzAzT0)|((aSet0(slbdtrb0(W0))&((![W1]: (~aElementOf0(W1,slbdtrb0(W0))|(aElementOf0(W1,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W1),W0))))&(![W1]: (aElementOf0(W1,slbdtrb0(W0))|(~aElementOf0(W1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W1),W0))))))&((aElementOf0(sk0_9(W0),xS)&~aElementOf0(sk0_9(W0),slbdtrb0(W0)))&~aSubsetOf0(xS,slbdtrb0(W0)))))),
% 45.33/6.10 inference(skolemization,[status(esa)],[f240])).
% 45.33/6.10 fof(f242,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(slbdtrb0(X0)))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f241])).
% 45.33/6.10 fof(f245,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(X1,slbdtrb0(X0))|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f241])).
% 45.33/6.10 fof(f246,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(sk0_9(X0),xS))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f241])).
% 45.33/6.10 fof(f247,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sk0_9(X0),slbdtrb0(X0)))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f241])).
% 45.33/6.10 fof(f248,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aSubsetOf0(xS,slbdtrb0(X0)))),
% 45.33/6.10 inference(cnf_transformation,[status(esa)],[f241])).
% 45.33/6.10 fof(f255,plain,(
% 45.33/6.10 aSet0(slcrc0)),
% 45.33/6.10 inference(destructive_equality_resolution,[status(esa)],[f72])).
% 45.33/6.10 fof(f256,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,slcrc0))),
% 45.33/6.10 inference(destructive_equality_resolution,[status(esa)],[f73])).
% 45.33/6.10 fof(f270,plain,(
% 45.33/6.10 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|aElementOf0(szmzazxdt0(X0),X0))),
% 45.33/6.10 inference(destructive_equality_resolution,[status(esa)],[f204])).
% 45.33/6.10 fof(f271,plain,(
% 45.33/6.10 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|~aElementOf0(X1,X0)|sdtlseqdt0(X1,szmzazxdt0(X0)))),
% 45.33/6.10 inference(destructive_equality_resolution,[status(esa)],[f205])).
% 45.33/6.10 fof(f279,plain,(
% 45.33/6.10 spl0_0 <=> aSet0(szNzAzT0)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f281,plain,(
% 45.33/6.10 ~aSet0(szNzAzT0)|spl0_0),
% 45.33/6.10 inference(component_clause,[status(thm)],[f279])).
% 45.33/6.10 fof(f282,plain,(
% 45.33/6.10 spl0_1 <=> aSet0(xS)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f285,plain,(
% 45.33/6.10 ~aSet0(szNzAzT0)|aSet0(xS)),
% 45.33/6.10 inference(resolution,[status(thm)],[f86,f236])).
% 45.33/6.10 fof(f286,plain,(
% 45.33/6.10 ~spl0_0|spl0_1),
% 45.33/6.10 inference(split_clause,[status(thm)],[f285,f279,f282])).
% 45.33/6.10 fof(f287,plain,(
% 45.33/6.10 $false|spl0_0),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f281,f134])).
% 45.33/6.10 fof(f288,plain,(
% 45.33/6.10 spl0_0),
% 45.33/6.10 inference(contradiction_clause,[status(thm)],[f287])).
% 45.33/6.10 fof(f289,plain,(
% 45.33/6.10 ![X0]: (aElementOf0(sk0_9(X0),szNzAzT0)|~aElementOf0(X0,szNzAzT0))),
% 45.33/6.10 inference(resolution,[status(thm)],[f235,f246])).
% 45.33/6.10 fof(f306,plain,(
% 45.33/6.10 spl0_5 <=> aElementOf0(sz00,szNzAzT0)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f308,plain,(
% 45.33/6.10 ~aElementOf0(sz00,szNzAzT0)|spl0_5),
% 45.33/6.10 inference(component_clause,[status(thm)],[f306])).
% 45.33/6.10 fof(f319,plain,(
% 45.33/6.10 spl0_8 <=> aSubsetOf0(xS,slcrc0)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f321,plain,(
% 45.33/6.10 ~aSubsetOf0(xS,slcrc0)|spl0_8),
% 45.33/6.10 inference(component_clause,[status(thm)],[f319])).
% 45.33/6.10 fof(f322,plain,(
% 45.33/6.10 ~aElementOf0(sz00,szNzAzT0)|~aSubsetOf0(xS,slcrc0)),
% 45.33/6.10 inference(paramodulation,[status(thm)],[f223,f248])).
% 45.33/6.10 fof(f323,plain,(
% 45.33/6.10 ~spl0_5|~spl0_8),
% 45.33/6.10 inference(split_clause,[status(thm)],[f322,f306,f319])).
% 45.33/6.10 fof(f324,plain,(
% 45.33/6.10 $false|spl0_5),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f308,f136])).
% 45.33/6.10 fof(f325,plain,(
% 45.33/6.10 spl0_5),
% 45.33/6.10 inference(contradiction_clause,[status(thm)],[f324])).
% 45.33/6.10 fof(f333,plain,(
% 45.33/6.10 spl0_10 <=> aSet0(slcrc0)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f335,plain,(
% 45.33/6.10 ~aSet0(slcrc0)|spl0_10),
% 45.33/6.10 inference(component_clause,[status(thm)],[f333])).
% 45.33/6.10 fof(f346,plain,(
% 45.33/6.10 $false|spl0_10),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f335,f255])).
% 45.33/6.10 fof(f347,plain,(
% 45.33/6.10 spl0_10),
% 45.33/6.10 inference(contradiction_clause,[status(thm)],[f346])).
% 45.33/6.10 fof(f363,plain,(
% 45.33/6.10 spl0_16 <=> xS=slcrc0),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f364,plain,(
% 45.33/6.10 xS=slcrc0|~spl0_16),
% 45.33/6.10 inference(component_clause,[status(thm)],[f363])).
% 45.33/6.10 fof(f393,plain,(
% 45.33/6.10 spl0_22 <=> ~aSet0(X0)|aSubsetOf0(xS,X0)|aElementOf0(sk0_1(xS,X0),szNzAzT0)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f394,plain,(
% 45.33/6.10 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|aElementOf0(sk0_1(xS,X0),szNzAzT0)|~spl0_22)),
% 45.33/6.10 inference(component_clause,[status(thm)],[f393])).
% 45.33/6.10 fof(f396,plain,(
% 45.33/6.10 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|~aSet0(xS)|aElementOf0(sk0_1(xS,X0),szNzAzT0))),
% 45.33/6.10 inference(resolution,[status(thm)],[f88,f235])).
% 45.33/6.10 fof(f397,plain,(
% 45.33/6.10 spl0_22|~spl0_1),
% 45.33/6.10 inference(split_clause,[status(thm)],[f396,f393,f282])).
% 45.33/6.10 fof(f435,plain,(
% 45.33/6.10 ~aSubsetOf0(slcrc0,slcrc0)|~spl0_16|spl0_8),
% 45.33/6.10 inference(backward_demodulation,[status(thm)],[f364,f321])).
% 45.33/6.10 fof(f439,plain,(
% 45.33/6.10 ~aSet0(slcrc0)|~spl0_16|spl0_8),
% 45.33/6.10 inference(resolution,[status(thm)],[f435,f93])).
% 45.33/6.10 fof(f440,plain,(
% 45.33/6.10 ~spl0_10|~spl0_16|spl0_8),
% 45.33/6.10 inference(split_clause,[status(thm)],[f439,f333,f363,f319])).
% 45.33/6.10 fof(f441,plain,(
% 45.33/6.10 spl0_27 <=> aSubsetOf0(xS,szNzAzT0)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f444,plain,(
% 45.33/6.10 ~aSet0(szNzAzT0)|aSubsetOf0(xS,szNzAzT0)|~aSet0(szNzAzT0)|aSubsetOf0(xS,szNzAzT0)|~aSet0(xS)|~spl0_22),
% 45.33/6.10 inference(resolution,[status(thm)],[f394,f89])).
% 45.33/6.10 fof(f445,plain,(
% 45.33/6.10 ~spl0_0|spl0_27|~spl0_1|~spl0_22),
% 45.33/6.10 inference(split_clause,[status(thm)],[f444,f279,f441,f282,f393])).
% 45.33/6.10 fof(f526,plain,(
% 45.33/6.10 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f97,f86])).
% 45.33/6.10 fof(f547,plain,(
% 45.33/6.10 ![X0,X1,X2,X3]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|~aSet0(X1)|~aElementOf0(X3,X2)|aElementOf0(X3,X1))),
% 45.33/6.10 inference(resolution,[status(thm)],[f526,f87])).
% 45.33/6.10 fof(f548,plain,(
% 45.33/6.10 ![X0,X1,X2,X3]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|~aElementOf0(X3,X2)|aElementOf0(X3,X1))),
% 45.33/6.10 inference(duplicate_literals_removal,[status(esa)],[f547])).
% 45.33/6.10 fof(f549,plain,(
% 45.33/6.10 ![X0,X1,X2,X3]: (~aSet0(X0)|~aSubsetOf0(X1,X2)|~aSubsetOf0(X2,X0)|~aElementOf0(X3,X1)|aElementOf0(X3,X0))),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f548,f86])).
% 45.33/6.10 fof(f606,plain,(
% 45.33/6.10 spl0_41 <=> isFinite0(xS)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f608,plain,(
% 45.33/6.10 ~isFinite0(xS)|spl0_41),
% 45.33/6.10 inference(component_clause,[status(thm)],[f606])).
% 45.33/6.10 fof(f873,plain,(
% 45.33/6.10 spl0_65 <=> aSubsetOf0(szNzAzT0,szNzAzT0)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f874,plain,(
% 45.33/6.10 aSubsetOf0(szNzAzT0,szNzAzT0)|~spl0_65),
% 45.33/6.10 inference(component_clause,[status(thm)],[f873])).
% 45.33/6.10 fof(f875,plain,(
% 45.33/6.10 ~aSubsetOf0(szNzAzT0,szNzAzT0)|spl0_65),
% 45.33/6.10 inference(component_clause,[status(thm)],[f873])).
% 45.33/6.10 fof(f961,plain,(
% 45.33/6.10 ~aSet0(szNzAzT0)|spl0_65),
% 45.33/6.10 inference(resolution,[status(thm)],[f875,f93])).
% 45.33/6.10 fof(f962,plain,(
% 45.33/6.10 ~spl0_0|spl0_65),
% 45.33/6.10 inference(split_clause,[status(thm)],[f961,f279,f873])).
% 45.33/6.10 fof(f1169,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X0)|X0=szszuzczcdt0(X0)|~aElementOf0(X0,szNzAzT0))),
% 45.33/6.10 inference(resolution,[status(thm)],[f163,f159])).
% 45.33/6.10 fof(f1170,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X0)|X0=szszuzczcdt0(X0))),
% 45.33/6.10 inference(duplicate_literals_removal,[status(esa)],[f1169])).
% 45.33/6.10 fof(f1171,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X0)|X0=szszuzczcdt0(X0))),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f1170,f138])).
% 45.33/6.10 fof(f1238,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|sdtlseqdt0(X0,X1)|~aElementOf0(X0,szNzAzT0))),
% 45.33/6.10 inference(resolution,[status(thm)],[f165,f159])).
% 45.33/6.10 fof(f1239,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|sdtlseqdt0(X0,X1))),
% 45.33/6.10 inference(duplicate_literals_removal,[status(esa)],[f1238])).
% 45.33/6.10 fof(f1240,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|sdtlseqdt0(X0,X1))),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f1239,f138])).
% 45.33/6.10 fof(f1833,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X0))),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f1171,f147])).
% 45.33/6.10 fof(f1840,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|~sdtlseqdt0(X1,X0))),
% 45.33/6.10 inference(resolution,[status(thm)],[f1833,f165])).
% 45.33/6.10 fof(f1841,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|~sdtlseqdt0(X1,X0))),
% 45.33/6.10 inference(duplicate_literals_removal,[status(esa)],[f1840])).
% 45.33/6.10 fof(f1842,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|~sdtlseqdt0(X1,X0))),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f1841,f138])).
% 45.33/6.10 fof(f1929,plain,(
% 45.33/6.10 spl0_183 <=> ~aSubsetOf0(X0,szNzAzT0)|~aElementOf0(X1,X0)|aElementOf0(X1,szNzAzT0)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f1930,plain,(
% 45.33/6.10 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|~aElementOf0(X1,X0)|aElementOf0(X1,szNzAzT0)|~spl0_183)),
% 45.33/6.10 inference(component_clause,[status(thm)],[f1929])).
% 45.33/6.10 fof(f1932,plain,(
% 45.33/6.10 ![X0,X1]: (~aSet0(szNzAzT0)|~aSubsetOf0(X0,szNzAzT0)|~aElementOf0(X1,X0)|aElementOf0(X1,szNzAzT0)|~spl0_65)),
% 45.33/6.10 inference(resolution,[status(thm)],[f549,f874])).
% 45.33/6.10 fof(f1933,plain,(
% 45.33/6.10 ~spl0_0|spl0_183|~spl0_65),
% 45.33/6.10 inference(split_clause,[status(thm)],[f1932,f279,f1929,f873])).
% 45.33/6.10 fof(f1950,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|~aElementOf0(X0,szNzAzT0)|aElementOf0(X1,slbdtrb0(X0))|~aElementOf0(X1,szNzAzT0))),
% 45.33/6.10 inference(resolution,[status(thm)],[f167,f245])).
% 45.33/6.10 fof(f1951,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|aElementOf0(X1,slbdtrb0(X0)))),
% 45.33/6.10 inference(duplicate_literals_removal,[status(esa)],[f1950])).
% 45.33/6.10 fof(f2617,plain,(
% 45.33/6.10 spl0_234 <=> ~aElementOf0(X0,szNzAzT0)|~aSet0(slbdtrb0(X0))),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f2618,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aSet0(slbdtrb0(X0))|~spl0_234)),
% 45.33/6.10 inference(component_clause,[status(thm)],[f2617])).
% 45.33/6.10 fof(f2667,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X1,X0))),
% 45.33/6.10 inference(resolution,[status(thm)],[f1240,f167])).
% 45.33/6.10 fof(f2668,plain,(
% 45.33/6.10 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 45.33/6.10 inference(duplicate_literals_removal,[status(esa)],[f2667])).
% 45.33/6.10 fof(f2769,plain,(
% 45.33/6.10 spl0_247 <=> aElementOf0(szmzazxdt0(xS),szNzAzT0)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f2770,plain,(
% 45.33/6.10 aElementOf0(szmzazxdt0(xS),szNzAzT0)|~spl0_247),
% 45.33/6.10 inference(component_clause,[status(thm)],[f2769])).
% 45.33/6.10 fof(f2772,plain,(
% 45.33/6.10 ~aSubsetOf0(xS,szNzAzT0)|~isFinite0(xS)|xS=slcrc0|aElementOf0(szmzazxdt0(xS),szNzAzT0)),
% 45.33/6.10 inference(resolution,[status(thm)],[f270,f235])).
% 45.33/6.10 fof(f2773,plain,(
% 45.33/6.10 ~spl0_27|~spl0_41|spl0_16|spl0_247),
% 45.33/6.10 inference(split_clause,[status(thm)],[f2772,f441,f606,f363,f2769])).
% 45.33/6.10 fof(f2852,plain,(
% 45.33/6.10 $false|spl0_41),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f608,f237])).
% 45.33/6.10 fof(f2853,plain,(
% 45.33/6.10 spl0_41),
% 45.33/6.10 inference(contradiction_clause,[status(thm)],[f2852])).
% 45.33/6.10 fof(f2982,plain,(
% 45.33/6.10 spl0_273 <=> sdtlseqdt0(szmzazxdt0(xS),szmzazxdt0(xS))),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f2983,plain,(
% 45.33/6.10 sdtlseqdt0(szmzazxdt0(xS),szmzazxdt0(xS))|~spl0_273),
% 45.33/6.10 inference(component_clause,[status(thm)],[f2982])).
% 45.33/6.10 fof(f2984,plain,(
% 45.33/6.10 ~sdtlseqdt0(szmzazxdt0(xS),szmzazxdt0(xS))|spl0_273),
% 45.33/6.10 inference(component_clause,[status(thm)],[f2982])).
% 45.33/6.10 fof(f3327,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sk0_9(X0),szNzAzT0)|sdtlseqdt0(X0,sk0_9(X0))|~aElementOf0(X0,szNzAzT0))),
% 45.33/6.10 inference(resolution,[status(thm)],[f1951,f247])).
% 45.33/6.10 fof(f3328,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sk0_9(X0),szNzAzT0)|sdtlseqdt0(X0,sk0_9(X0)))),
% 45.33/6.10 inference(duplicate_literals_removal,[status(esa)],[f3327])).
% 45.33/6.10 fof(f3329,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,sk0_9(X0)))),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f3328,f289])).
% 45.33/6.10 fof(f3654,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sk0_9(szszuzczcdt0(X0)),szNzAzT0)|~sdtlseqdt0(sk0_9(szszuzczcdt0(X0)),X0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 45.33/6.10 inference(resolution,[status(thm)],[f1842,f3329])).
% 45.33/6.10 fof(f3655,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(sk0_9(szszuzczcdt0(X0)),X0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f3654,f289])).
% 45.33/6.10 fof(f4142,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(sk0_9(szszuzczcdt0(X0)),X0))),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f3655,f138])).
% 45.33/6.10 fof(f4307,plain,(
% 45.33/6.10 ![X0,X1,X2]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|~aElementOf0(X1,X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(szmzazxdt0(X0),szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(szmzazxdt0(X0),X2)|sdtlseqdt0(X1,X2))),
% 45.33/6.10 inference(resolution,[status(thm)],[f271,f165])).
% 45.33/6.10 fof(f4308,plain,(
% 45.33/6.10 ![X0,X1,X2]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|~aElementOf0(X1,X0)|~aElementOf0(szmzazxdt0(X0),szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(szmzazxdt0(X0),X2)|sdtlseqdt0(X1,X2)|~spl0_183)),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f4307,f1930])).
% 45.33/6.10 fof(f4466,plain,(
% 45.33/6.10 ~aElementOf0(szmzazxdt0(xS),szNzAzT0)|~aElementOf0(szmzazxdt0(xS),szNzAzT0)|spl0_273),
% 45.33/6.10 inference(resolution,[status(thm)],[f2984,f2668])).
% 45.33/6.10 fof(f4467,plain,(
% 45.33/6.10 ~spl0_247|spl0_273),
% 45.33/6.10 inference(split_clause,[status(thm)],[f4466,f2769,f2982])).
% 45.33/6.10 fof(f8325,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,szNzAzT0)|~spl0_234)),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f2618,f242])).
% 45.33/6.10 fof(f8331,plain,(
% 45.33/6.10 $false|~spl0_234),
% 45.33/6.10 inference(backward_subsumption_resolution,[status(thm)],[f136,f8325])).
% 45.33/6.10 fof(f8332,plain,(
% 45.33/6.10 ~spl0_234),
% 45.33/6.10 inference(contradiction_clause,[status(thm)],[f8331])).
% 45.33/6.10 fof(f13158,plain,(
% 45.33/6.10 spl0_796 <=> ~aElementOf0(X0,xS)|sdtlseqdt0(X0,szmzazxdt0(xS))),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f13159,plain,(
% 45.33/6.10 ![X0]: (~aElementOf0(X0,xS)|sdtlseqdt0(X0,szmzazxdt0(xS))|~spl0_796)),
% 45.33/6.10 inference(component_clause,[status(thm)],[f13158])).
% 45.33/6.10 fof(f13161,plain,(
% 45.33/6.10 ![X0]: (~aSubsetOf0(xS,szNzAzT0)|~isFinite0(xS)|xS=slcrc0|~aElementOf0(X0,xS)|~aElementOf0(szmzazxdt0(xS),szNzAzT0)|~aElementOf0(szmzazxdt0(xS),szNzAzT0)|sdtlseqdt0(X0,szmzazxdt0(xS))|~spl0_183|~spl0_273)),
% 45.33/6.10 inference(resolution,[status(thm)],[f4308,f2983])).
% 45.33/6.10 fof(f13162,plain,(
% 45.33/6.10 ~spl0_27|~spl0_41|spl0_16|spl0_796|~spl0_247|~spl0_183|~spl0_273),
% 45.33/6.10 inference(split_clause,[status(thm)],[f13161,f441,f606,f363,f13158,f2769,f1929,f2982])).
% 45.33/6.10 fof(f13485,plain,(
% 45.33/6.10 spl0_827 <=> aElementOf0(szszuzczcdt0(sk0_0(szNzAzT0)),slbdtrb0(sz00))),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f13486,plain,(
% 45.33/6.10 aElementOf0(szszuzczcdt0(sk0_0(szNzAzT0)),slbdtrb0(sz00))|~spl0_827),
% 45.33/6.10 inference(component_clause,[status(thm)],[f13485])).
% 45.33/6.10 fof(f13539,plain,(
% 45.33/6.10 aElementOf0(szszuzczcdt0(sk0_0(szNzAzT0)),slcrc0)|~spl0_827),
% 45.33/6.10 inference(forward_demodulation,[status(thm)],[f223,f13486])).
% 45.33/6.10 fof(f13540,plain,(
% 45.33/6.10 $false|~spl0_827),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f13539,f256])).
% 45.33/6.10 fof(f13541,plain,(
% 45.33/6.10 ~spl0_827),
% 45.33/6.10 inference(contradiction_clause,[status(thm)],[f13540])).
% 45.33/6.10 fof(f15265,plain,(
% 45.33/6.10 spl0_1005 <=> aElementOf0(szmzazxdt0(szNzAzT0),slbdtrb0(sz00))),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f15266,plain,(
% 45.33/6.10 aElementOf0(szmzazxdt0(szNzAzT0),slbdtrb0(sz00))|~spl0_1005),
% 45.33/6.10 inference(component_clause,[status(thm)],[f15265])).
% 45.33/6.10 fof(f15316,plain,(
% 45.33/6.10 aElementOf0(szmzazxdt0(szNzAzT0),slcrc0)|~spl0_1005),
% 45.33/6.10 inference(forward_demodulation,[status(thm)],[f223,f15266])).
% 45.33/6.10 fof(f15317,plain,(
% 45.33/6.10 $false|~spl0_1005),
% 45.33/6.10 inference(forward_subsumption_resolution,[status(thm)],[f15316,f256])).
% 45.33/6.10 fof(f15318,plain,(
% 45.33/6.10 ~spl0_1005),
% 45.33/6.10 inference(contradiction_clause,[status(thm)],[f15317])).
% 45.33/6.10 fof(f15615,plain,(
% 45.33/6.10 spl0_1042 <=> aElementOf0(sk0_9(szszuzczcdt0(szmzazxdt0(xS))),xS)),
% 45.33/6.10 introduced(split_symbol_definition)).
% 45.33/6.10 fof(f15617,plain,(
% 45.33/6.10 ~aElementOf0(sk0_9(szszuzczcdt0(szmzazxdt0(xS))),xS)|spl0_1042),
% 45.33/6.13 inference(component_clause,[status(thm)],[f15615])).
% 45.33/6.13 fof(f15618,plain,(
% 45.33/6.13 ~aElementOf0(sk0_9(szszuzczcdt0(szmzazxdt0(xS))),xS)|~aElementOf0(szmzazxdt0(xS),szNzAzT0)|~spl0_796),
% 45.33/6.13 inference(resolution,[status(thm)],[f13159,f4142])).
% 45.33/6.13 fof(f15619,plain,(
% 45.33/6.13 ~spl0_1042|~spl0_247|~spl0_796),
% 45.33/6.13 inference(split_clause,[status(thm)],[f15618,f15615,f2769,f13158])).
% 45.33/6.13 fof(f23975,plain,(
% 45.33/6.13 ~aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)|spl0_1042),
% 45.33/6.13 inference(resolution,[status(thm)],[f15617,f246])).
% 45.33/6.13 fof(f23989,plain,(
% 45.33/6.13 ~aElementOf0(szmzazxdt0(xS),szNzAzT0)|spl0_1042),
% 45.33/6.13 inference(resolution,[status(thm)],[f23975,f138])).
% 45.33/6.13 fof(f23990,plain,(
% 45.33/6.13 $false|~spl0_247|spl0_1042),
% 45.33/6.13 inference(forward_subsumption_resolution,[status(thm)],[f23989,f2770])).
% 45.33/6.13 fof(f23991,plain,(
% 45.33/6.13 ~spl0_247|spl0_1042),
% 45.33/6.13 inference(contradiction_clause,[status(thm)],[f23990])).
% 45.33/6.13 fof(f23992,plain,(
% 45.33/6.13 $false),
% 45.33/6.13 inference(sat_refutation,[status(thm)],[f286,f288,f323,f325,f347,f397,f440,f445,f962,f1933,f2773,f2853,f4467,f8332,f13162,f13541,f15318,f15619,f23991])).
% 45.33/6.13 % SZS output end CNFRefutation for theBenchmark.p
% 45.33/6.15 % Elapsed time: 5.788769 seconds
% 45.33/6.15 % CPU time: 45.853234 seconds
% 45.33/6.15 % Memory used: 273.014 MB
%------------------------------------------------------------------------------