%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM541+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:43:09 PM UTC 2026
% Result : Theorem 0.12s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM541+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:38:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.57 % Refutation found
% 0.12/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.57 fof(f3,axiom,(
% 0.12/0.57 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f5,definition,(
% 0.12/0.57 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f6,axiom,(
% 0.12/0.57 isFinite0(slcrc0) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f8,axiom,(
% 0.12/0.57 (! [W0] :( ( aSet0(W0)& isCountable0(W0) )=> ~ isFinite0(W0) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f10,definition,(
% 0.12/0.57 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f11,axiom,(
% 0.12/0.57 (! [W0] :( ( aSet0(W0)& isFinite0(W0) )=> (! [W1] :( aSubsetOf0(W1,W0)=> isFinite0(W1) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f12,axiom,(
% 0.12/0.57 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f15,definition,(
% 0.12/0.57 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtpldt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& ( aElementOf0(W3,W0)| W3 = W1 ) ) ) )) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f23,axiom,(
% 0.12/0.57 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f24,axiom,(
% 0.12/0.57 aElementOf0(sz00,szNzAzT0) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f25,axiom,(
% 0.12/0.57 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)& szszuzczcdt0(W0) != sz00 ) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f26,axiom,(
% 0.12/0.57 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)=> W0 = W1 ) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f27,axiom,(
% 0.12/0.57 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( W0 = sz00| (? [W1] :( aElementOf0(W1,szNzAzT0)& W0 = szszuzczcdt0(W1) ) )) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f28,axiom,(
% 0.12/0.57 (! [W0] :( aElementOf0(W0,szNzAzT0)=> W0 != szszuzczcdt0(W0) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f30,axiom,(
% 0.12/0.57 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f31,axiom,(
% 0.12/0.57 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f32,axiom,(
% 0.12/0.57 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W0,W1)<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f33,axiom,(
% 0.12/0.57 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f34,axiom,(
% 0.12/0.57 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(W0,W0) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f35,axiom,(
% 0.12/0.57 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f36,axiom,(
% 0.12/0.57 (! [W0,W1,W2] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0)& aElementOf0(W2,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f37,axiom,(
% 0.12/0.57 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W0,W1)| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f40,axiom,(
% 0.12/0.57 (! [W0] :( aSet0(W0)=> aElement0(sbrdtbr0(W0)) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f41,axiom,(
% 0.12/0.57 (! [W0] :( aSet0(W0)=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)<=> isFinite0(W0) ) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f42,axiom,(
% 0.12/0.57 (! [W0] :( aSet0(W0)=> ( sbrdtbr0(W0) = sz00<=> W0 = slcrc0 ) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f43,axiom,(
% 0.12/0.57 (! [W0] :( ( aSet0(W0)& isFinite0(W0) )=> (! [W1] :( aElement0(W1)=> ( ~ aElementOf0(W1,W0)=> sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f44,axiom,(
% 0.12/0.57 (! [W0] :( aSet0(W0)=> (! [W1] :( ( isFinite0(W0)& aElementOf0(W1,W0) )=> szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f45,axiom,(
% 0.12/0.57 (! [W0] :( aSet0(W0)=> (! [W1] :( ( isFinite0(W0)& aSubsetOf0(W1,W0) )=> sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f47,definition,(
% 0.12/0.57 (! [W0] :( ( aSubsetOf0(W0,szNzAzT0)& W0 != slcrc0 )=> (! [W1] :( W1 = szmzizndt0(W0)<=> ( aElementOf0(W1,W0)& (! [W2] :( aElementOf0(W2,W0)=> sdtlseqdt0(W1,W2) ) )) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f48,definition,(
% 0.12/0.57 (! [W0] :( ( aSubsetOf0(W0,szNzAzT0)& isFinite0(W0)& W0 != slcrc0 )=> (! [W1] :( W1 = szmzazxdt0(W0)<=> ( aElementOf0(W1,W0)& (! [W2] :( aElementOf0(W2,W0)=> sdtlseqdt0(W2,W1) ) )) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f49,axiom,(
% 0.12/0.57 (! [W0,W1] :( ( aSubsetOf0(W0,szNzAzT0)& aSubsetOf0(W1,szNzAzT0)& W0 != slcrc0& W1 != slcrc0 )=> ( ( aElementOf0(szmzizndt0(W0),W1)& aElementOf0(szmzizndt0(W1),W0) )=> szmzizndt0(W0) = szmzizndt0(W1) ) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f50,definition,(
% 0.12/0.57 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( W1 = slbdtrb0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> ( aElementOf0(W2,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )) ) )) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f51,axiom,(
% 0.12/0.57 (! [W0] :( aElementOf0(W0,szNzAzT0)=> isFinite0(slbdtrb0(W0)) ) )),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f52,axiom,(
% 0.12/0.57 slbdtrb0(sz00) = slcrc0 ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f53,hypothesis,(
% 0.12/0.57 ( aElementOf0(xm,szNzAzT0)& aElementOf0(xn,szNzAzT0) ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f54,conjecture,(
% 0.12/0.57 ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))<=> ( aElementOf0(xm,slbdtrb0(xn))| xm = xn ) ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f55,negated_conjecture,(
% 0.12/0.57 ~(( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))<=> ( aElementOf0(xm,slbdtrb0(xn))| xm = xn ) ) )),
% 0.12/0.57 inference(negated_conjecture,[status(cth)],[f54])).
% 0.12/0.57 fof(f62,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.12/0.57 fof(f63,plain,(
% 0.12/0.57 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f62])).
% 0.12/0.57 fof(f66,plain,(
% 0.12/0.57 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.57 fof(f67,plain,(
% 0.12/0.57 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f66])).
% 0.12/0.57 fof(f68,plain,(
% 0.12/0.57 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.12/0.57 inference(miniscoping,[status(thm)],[f67])).
% 0.12/0.57 fof(f69,plain,(
% 0.12/0.57 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 0.12/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f68])).
% 0.12/0.57 fof(f70,plain,(
% 0.12/0.57 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.57 fof(f71,plain,(
% 0.12/0.57 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.57 fof(f72,plain,(
% 0.12/0.57 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sK0_skl(X0),X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.57 fof(f73,plain,(
% 0.12/0.57 isFinite0(slcrc0)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.57 fof(f76,plain,(
% 0.12/0.57 ![W0]: ((~aSet0(W0)|~isCountable0(W0))|~isFinite0(W0))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.57 fof(f77,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|~isCountable0(X0)|~isFinite0(X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f76])).
% 0.12/0.57 fof(f80,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.12/0.57 fof(f81,plain,(
% 0.12/0.57 ![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))))))))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f80])).
% 0.12/0.57 fof(f82,plain,(
% 0.12/0.57 ![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))))))))),
% 0.12/0.57 inference(miniscoping,[status(thm)],[f81])).
% 0.12/0.57 fof(f83,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sK1_skl(W1,W0),W1)&~aElementOf0(sK1_skl(W1,W0),W0)))))))),
% 0.12/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f82])).
% 0.12/0.57 fof(f86,plain,(
% 0.12/0.57 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|aElementOf0(sK1_skl(X1,X0),X1))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f83])).
% 0.12/0.57 fof(f88,plain,(
% 0.12/0.57 ![W0]: ((~aSet0(W0)|~isFinite0(W0))|(![W1]: (~aSubsetOf0(W1,W0)|isFinite0(W1))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.12/0.57 fof(f89,plain,(
% 0.12/0.57 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aSubsetOf0(X1,X0)|isFinite0(X1))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f88])).
% 0.12/0.57 fof(f90,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.12/0.57 fof(f91,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f90])).
% 0.12/0.57 fof(f96,plain,(
% 0.12/0.57 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtpldt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.12/0.57 fof(f97,plain,(
% 0.12/0.57 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: ((~W2=sdtpldt0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1)))&(aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1)))))))&(W2=sdtpldt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1)))&(aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))))))))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f96])).
% 0.12/0.57 fof(f98,plain,(
% 0.12/0.57 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtpldt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))&(![W3]: (aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1))))))))&(![W2]: (W2=sdtpldt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1)))&(aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))))))))),
% 0.12/0.57 inference(miniscoping,[status(thm)],[f97])).
% 0.12/0.57 fof(f99,plain,(
% 0.12/0.57 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtpldt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))&(![W3]: (aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1))))))))&(![W2]: (W2=sdtpldt0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sK2_skl(W2,W1,W0),W2)|(~aElement0(sK2_skl(W2,W1,W0))|(~aElementOf0(sK2_skl(W2,W1,W0),W0)&~sK2_skl(W2,W1,W0)=W1)))&(aElementOf0(sK2_skl(W2,W1,W0),W2)|(aElement0(sK2_skl(W2,W1,W0))&(aElementOf0(sK2_skl(W2,W1,W0),W0)|sK2_skl(W2,W1,W0)=W1)))))))))),
% 0.12/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W3,sK2_skl(W2,W1,W0))],[f98])).
% 0.12/0.57 fof(f101,plain,(
% 0.12/0.57 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|~aElementOf0(X3,X2)|aElement0(X3))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f99])).
% 0.12/0.57 fof(f103,plain,(
% 0.12/0.57 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X3,X2)|~aElement0(X3)|~aElementOf0(X3,X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f99])).
% 0.12/0.57 fof(f104,plain,(
% 0.12/0.57 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X3,X2)|~aElement0(X3)|~X3=X1)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f99])).
% 0.12/0.57 fof(f132,plain,(
% 0.12/0.57 aSet0(szNzAzT0)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.57 fof(f133,plain,(
% 0.12/0.57 isCountable0(szNzAzT0)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.57 fof(f134,plain,(
% 0.12/0.57 aElementOf0(sz00,szNzAzT0)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.57 fof(f135,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(szszuzczcdt0(W0),szNzAzT0)&~szszuzczcdt0(W0)=sz00))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.12/0.57 fof(f136,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f135])).
% 0.12/0.57 fof(f137,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=sz00)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f135])).
% 0.12/0.57 fof(f138,plain,(
% 0.12/0.57 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~szszuzczcdt0(W0)=szszuzczcdt0(W1)|W0=W1))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.12/0.57 fof(f139,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(X1)|X0=X1)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f138])).
% 0.12/0.57 fof(f140,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(?[W1]: (aElementOf0(W1,szNzAzT0)&W0=szszuzczcdt0(W1)))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.12/0.57 fof(f141,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(aElementOf0(sK4_skl(W0),szNzAzT0)&W0=szszuzczcdt0(sK4_skl(W0)))))),
% 0.12/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(W1,sK4_skl(W0))],[f140])).
% 0.12/0.57 fof(f142,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|aElementOf0(sK4_skl(X0),szNzAzT0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f141])).
% 0.12/0.57 fof(f143,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|X0=szszuzczcdt0(sK4_skl(X0)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f141])).
% 0.12/0.57 fof(f144,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|~W0=szszuzczcdt0(W0))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.12/0.57 fof(f145,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|~X0=szszuzczcdt0(X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f144])).
% 0.12/0.57 fof(f148,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.12/0.57 fof(f149,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f148])).
% 0.12/0.57 fof(f150,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W0),sz00))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.12/0.57 fof(f151,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),sz00))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f150])).
% 0.12/0.57 fof(f152,plain,(
% 0.12/0.57 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(sdtlseqdt0(W0,W1)<=>sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.12/0.57 fof(f153,plain,(
% 0.12/0.57 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)))&(sdtlseqdt0(W0,W1)|~sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)))))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f152])).
% 0.12/0.57 fof(f154,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f153])).
% 0.12/0.57 fof(f155,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|~sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f153])).
% 0.12/0.57 fof(f156,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(W0,szszuzczcdt0(W0)))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.12/0.57 fof(f157,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,szszuzczcdt0(X0)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f156])).
% 0.12/0.57 fof(f158,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(W0,W0))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.12/0.57 fof(f159,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f158])).
% 0.12/0.57 fof(f160,plain,(
% 0.12/0.57 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.12/0.57 fof(f161,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f160])).
% 0.12/0.57 fof(f162,plain,(
% 0.12/0.57 ![W0,W1,W2]: (((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|~aElementOf0(W2,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.12/0.57 fof(f163,plain,(
% 0.12/0.57 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f162])).
% 0.12/0.57 fof(f164,plain,(
% 0.12/0.57 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(sdtlseqdt0(W0,W1)|sdtlseqdt0(szszuzczcdt0(W1),W0)))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.12/0.57 fof(f165,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f164])).
% 0.12/0.57 fof(f170,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|aElement0(sbrdtbr0(W0)))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.12/0.57 fof(f171,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|aElement0(sbrdtbr0(X0)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f170])).
% 0.12/0.57 fof(f172,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|(aElementOf0(sbrdtbr0(W0),szNzAzT0)<=>isFinite0(W0)))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.12/0.57 fof(f173,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|((~aElementOf0(sbrdtbr0(W0),szNzAzT0)|isFinite0(W0))&(aElementOf0(sbrdtbr0(W0),szNzAzT0)|~isFinite0(W0))))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f172])).
% 0.12/0.57 fof(f175,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|aElementOf0(sbrdtbr0(X0),szNzAzT0)|~isFinite0(X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f173])).
% 0.12/0.57 fof(f176,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.12/0.57 fof(f177,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|((~sbrdtbr0(W0)=sz00|W0=slcrc0)&(sbrdtbr0(W0)=sz00|~W0=slcrc0)))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f176])).
% 0.12/0.57 fof(f178,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|~sbrdtbr0(X0)=sz00|X0=slcrc0)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f177])).
% 0.12/0.57 fof(f179,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|sbrdtbr0(X0)=sz00|~X0=slcrc0)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f177])).
% 0.12/0.57 fof(f180,plain,(
% 0.12/0.57 ![W0]: ((~aSet0(W0)|~isFinite0(W0))|(![W1]: (~aElement0(W1)|(aElementOf0(W1,W0)|sbrdtbr0(sdtpldt0(W0,W1))=szszuzczcdt0(sbrdtbr0(W0))))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.12/0.57 fof(f181,plain,(
% 0.12/0.57 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aElement0(X1)|aElementOf0(X1,X0)|sbrdtbr0(sdtpldt0(X0,X1))=szszuzczcdt0(sbrdtbr0(X0)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f180])).
% 0.12/0.57 fof(f182,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|(![W1]: ((~isFinite0(W0)|~aElementOf0(W1,W0))|szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1)))=sbrdtbr0(W0))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.12/0.57 fof(f183,plain,(
% 0.12/0.57 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aElementOf0(X1,X0)|szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))=sbrdtbr0(X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f182])).
% 0.12/0.57 fof(f184,plain,(
% 0.12/0.57 ![W0]: (~aSet0(W0)|(![W1]: ((~isFinite0(W0)|~aSubsetOf0(W1,W0))|sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.12/0.57 fof(f185,plain,(
% 0.12/0.57 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aSubsetOf0(X1,X0)|sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f184])).
% 0.12/0.57 fof(f190,plain,(
% 0.12/0.57 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|(![W1]: (W1=szmzizndt0(W0)<=>(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2)))))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.12/0.57 fof(f191,plain,(
% 0.12/0.57 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|(![W1]: ((~W1=szmzizndt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2)))))&(W1=szmzizndt0(W0)|(~aElementOf0(W1,W0)|(?[W2]: (aElementOf0(W2,W0)&~sdtlseqdt0(W1,W2))))))))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f190])).
% 0.12/0.57 fof(f192,plain,(
% 0.12/0.57 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|((![W1]: (~W1=szmzizndt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2))))))&(![W1]: (W1=szmzizndt0(W0)|(~aElementOf0(W1,W0)|(?[W2]: (aElementOf0(W2,W0)&~sdtlseqdt0(W1,W2))))))))),
% 0.12/0.57 inference(miniscoping,[status(thm)],[f191])).
% 0.12/0.57 fof(f193,plain,(
% 0.12/0.57 ![W0]: ((~aSubsetOf0(W0,szNzAzT0)|W0=slcrc0)|((![W1]: (~W1=szmzizndt0(W0)|(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W1,W2))))))&(![W1]: (W1=szmzizndt0(W0)|(~aElementOf0(W1,W0)|(aElementOf0(sK6_skl(W1,W0),W0)&~sdtlseqdt0(W1,sK6_skl(W1,W0))))))))),
% 0.12/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(W2,sK6_skl(W1,W0))],[f192])).
% 0.12/0.57 fof(f194,plain,(
% 0.12/0.57 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|~X1=szmzizndt0(X0)|aElementOf0(X1,X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f193])).
% 0.12/0.57 fof(f196,plain,(
% 0.12/0.57 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|X1=szmzizndt0(X0)|~aElementOf0(X1,X0)|aElementOf0(sK6_skl(X1,X0),X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f193])).
% 0.12/0.57 fof(f197,plain,(
% 0.12/0.57 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|X1=szmzizndt0(X0)|~aElementOf0(X1,X0)|~sdtlseqdt0(X1,sK6_skl(X1,X0)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f193])).
% 0.12/0.57 fof(f198,plain,(
% 0.12/0.57 ![W0]: (((~aSubsetOf0(W0,szNzAzT0)|~isFinite0(W0))|W0=slcrc0)|(![W1]: (W1=szmzazxdt0(W0)<=>(aElementOf0(W1,W0)&(![W2]: (~aElementOf0(W2,W0)|sdtlseqdt0(W2,W1)))))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f48])).
% 0.12/0.57 fof(f199,plain,(
% 0.12/0.57 ![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))))))))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f198])).
% 0.12/0.57 fof(f200,plain,(
% 0.12/0.57 ![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))))))))),
% 0.12/0.57 inference(miniscoping,[status(thm)],[f199])).
% 0.12/0.57 fof(f201,plain,(
% 0.12/0.57 ![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(sK7_skl(W1,W0),W0)&~sdtlseqdt0(sK7_skl(W1,W0),W1)))))))),
% 0.12/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(W2,sK7_skl(W1,W0))],[f200])).
% 0.12/0.57 fof(f202,plain,(
% 0.12/0.57 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|~X1=szmzazxdt0(X0)|aElementOf0(X1,X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f201])).
% 0.12/0.57 fof(f206,plain,(
% 0.12/0.57 ![W0,W1]: ((((~aSubsetOf0(W0,szNzAzT0)|~aSubsetOf0(W1,szNzAzT0))|W0=slcrc0)|W1=slcrc0)|((~aElementOf0(szmzizndt0(W0),W1)|~aElementOf0(szmzizndt0(W1),W0))|szmzizndt0(W0)=szmzizndt0(W1)))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.12/0.57 fof(f207,plain,(
% 0.12/0.57 ![X0,X1]: (~aSubsetOf0(X0,szNzAzT0)|~aSubsetOf0(X1,szNzAzT0)|X0=slcrc0|X1=slcrc0|~aElementOf0(szmzizndt0(X0),X1)|~aElementOf0(szmzizndt0(X1),X0)|szmzizndt0(X0)=szmzizndt0(X1))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f206])).
% 0.12/0.57 fof(f208,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: (W1=slbdtrb0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f50])).
% 0.12/0.57 fof(f209,plain,(
% 0.12/0.57 ![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))))))))))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f208])).
% 0.12/0.57 fof(f210,plain,(
% 0.12/0.57 ![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))))))))))),
% 0.12/0.57 inference(miniscoping,[status(thm)],[f209])).
% 0.12/0.57 fof(f211,plain,(
% 0.12/0.57 ![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(sK8_skl(W1,W0),W1)|(~aElementOf0(sK8_skl(W1,W0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(sK8_skl(W1,W0)),W0)))&(aElementOf0(sK8_skl(W1,W0),W1)|(aElementOf0(sK8_skl(W1,W0),szNzAzT0)&sdtlseqdt0(szszuzczcdt0(sK8_skl(W1,W0)),W0)))))))))),
% 0.12/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(W2,sK8_skl(W1,W0))],[f210])).
% 0.12/0.57 fof(f212,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|aSet0(X1))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f211])).
% 0.12/0.57 fof(f213,plain,(
% 0.12/0.57 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|~aElementOf0(X2,X1)|aElementOf0(X2,szNzAzT0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f211])).
% 0.12/0.57 fof(f214,plain,(
% 0.12/0.57 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|~aElementOf0(X2,X1)|sdtlseqdt0(szszuzczcdt0(X2),X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f211])).
% 0.12/0.57 fof(f215,plain,(
% 0.12/0.57 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|aElementOf0(X2,X1)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X2),X0))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f211])).
% 0.12/0.57 fof(f219,plain,(
% 0.12/0.57 ![W0]: (~aElementOf0(W0,szNzAzT0)|isFinite0(slbdtrb0(W0)))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 0.12/0.57 fof(f220,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|isFinite0(slbdtrb0(X0)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f219])).
% 0.12/0.57 fof(f221,plain,(
% 0.12/0.57 slbdtrb0(sz00)=slcrc0),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f52])).
% 0.12/0.57 fof(f222,plain,(
% 0.12/0.57 aElementOf0(xm,szNzAzT0)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f53])).
% 0.12/0.57 fof(f223,plain,(
% 0.12/0.57 aElementOf0(xn,szNzAzT0)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f53])).
% 0.12/0.57 fof(f224,plain,(
% 0.12/0.57 (aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))<~>(aElementOf0(xm,slbdtrb0(xn))|xm=xn))),
% 0.12/0.57 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.12/0.57 fof(f225,plain,(
% 0.12/0.57 (aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))|(aElementOf0(xm,slbdtrb0(xn))|xm=xn))&(~aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))|(~aElementOf0(xm,slbdtrb0(xn))&~xm=xn))),
% 0.12/0.57 inference(NNF_transformation,[status(thm)],[f224])).
% 0.12/0.57 fof(f226,plain,(
% 0.12/0.57 aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))|aElementOf0(xm,slbdtrb0(xn))|xm=xn),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f225])).
% 0.12/0.57 fof(f227,plain,(
% 0.12/0.57 ~aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))|~aElementOf0(xm,slbdtrb0(xn))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f225])).
% 0.12/0.57 fof(f228,plain,(
% 0.12/0.57 ~aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))|~xm=xn),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f225])).
% 0.12/0.57 fof(f235,definition,(
% 0.12/0.57 sQ0_spl <=> (aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f236,plain,(
% 0.12/0.57 aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))|~sQ0_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f235])).
% 0.12/0.57 fof(f237,plain,(
% 0.12/0.57 ~aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))|sQ0_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f235])).
% 0.12/0.57 fof(f238,definition,(
% 0.12/0.57 sQ1_spl <=> (aElementOf0(xm,slbdtrb0(xn)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f239,plain,(
% 0.12/0.57 aElementOf0(xm,slbdtrb0(xn))|~sQ1_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f238])).
% 0.12/0.57 fof(f240,plain,(
% 0.12/0.57 ~aElementOf0(xm,slbdtrb0(xn))|sQ1_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f238])).
% 0.12/0.57 fof(f241,definition,(
% 0.12/0.57 sQ2_spl <=> (xm=xn)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f242,plain,(
% 0.12/0.57 xm=xn|~sQ2_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f241])).
% 0.12/0.57 fof(f244,plain,(
% 0.12/0.57 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f226,f235,f238,f241])).
% 0.12/0.57 fof(f245,plain,(
% 0.12/0.57 ~sQ0_spl|~sQ1_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f227,f235,f238])).
% 0.12/0.57 fof(f246,plain,(
% 0.12/0.57 ~sQ0_spl|~sQ2_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f228,f235,f241])).
% 0.12/0.57 fof(f247,plain,(
% 0.12/0.57 aSet0(slcrc0)),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f70])).
% 0.12/0.57 fof(f248,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,slcrc0))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f71])).
% 0.12/0.57 fof(f251,plain,(
% 0.12/0.57 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~aElementOf0(X2,sdtpldt0(X0,X1))|aElement0(X2))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f101])).
% 0.12/0.57 fof(f253,plain,(
% 0.12/0.57 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X2,sdtpldt0(X0,X1))|~aElement0(X2)|~aElementOf0(X2,X0))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f103])).
% 0.12/0.57 fof(f254,plain,(
% 0.12/0.57 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X1,sdtpldt0(X0,X1))|~aElement0(X1))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f104])).
% 0.12/0.57 fof(f255,plain,(
% 0.12/0.57 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X1,sdtpldt0(X0,X1)))),
% 0.12/0.57 inference(duplicate_literals_removal,[status(thm)],[f254])).
% 0.12/0.57 fof(f259,plain,(
% 0.12/0.57 ~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f179])).
% 0.12/0.57 fof(f260,plain,(
% 0.12/0.57 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|aElementOf0(szmzizndt0(X0),X0))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f194])).
% 0.12/0.57 fof(f262,plain,(
% 0.12/0.57 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|~isFinite0(X0)|X0=slcrc0|aElementOf0(szmzazxdt0(X0),X0))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f202])).
% 0.12/0.57 fof(f264,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(slbdtrb0(X0)))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f212])).
% 0.12/0.57 fof(f265,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,slbdtrb0(X0))|aElementOf0(X1,szNzAzT0))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f213])).
% 0.12/0.57 fof(f266,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,slbdtrb0(X0))|sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f214])).
% 0.12/0.57 fof(f267,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(X1,slbdtrb0(X0))|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f215])).
% 0.12/0.57 fof(f269,plain,(
% 0.12/0.57 ~xn=szszuzczcdt0(xn)),
% 0.12/0.57 inference(resolution,[status(thm)],[f145,f223])).
% 0.12/0.57 fof(f271,plain,(
% 0.12/0.57 ~xm=szszuzczcdt0(xm)),
% 0.12/0.57 inference(resolution,[status(thm)],[f145,f222])).
% 0.12/0.57 fof(f272,plain,(
% 0.12/0.57 aSet0(slbdtrb0(xn))),
% 0.12/0.57 inference(resolution,[status(thm)],[f264,f223])).
% 0.12/0.57 fof(f274,plain,(
% 0.12/0.57 aSet0(slbdtrb0(xm))),
% 0.12/0.57 inference(resolution,[status(thm)],[f264,f222])).
% 0.12/0.57 fof(f275,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(xn)|X0=xn)),
% 0.12/0.57 inference(resolution,[status(thm)],[f139,f223])).
% 0.12/0.57 fof(f276,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(szszuzczcdt0(X1))|X0=szszuzczcdt0(X1)|~aElementOf0(X1,szNzAzT0))),
% 0.12/0.57 inference(resolution,[status(thm)],[f139,f136])).
% 0.12/0.57 fof(f277,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(xm)|X0=xm)),
% 0.12/0.57 inference(resolution,[status(thm)],[f139,f222])).
% 0.12/0.57 fof(f278,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(sz00)|X0=sz00)),
% 0.12/0.57 inference(resolution,[status(thm)],[f134,f139])).
% 0.12/0.57 fof(f281,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElement0(X0))),
% 0.12/0.57 inference(resolution,[status(thm)],[f63,f132])).
% 0.12/0.57 fof(f286,plain,(
% 0.12/0.57 ![X0]: (szNzAzT0=slcrc0|~aSet0(szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(sK0_skl(szNzAzT0))|X0=sK0_skl(szNzAzT0))),
% 0.12/0.57 inference(resolution,[status(thm)],[f72,f139])).
% 0.12/0.57 fof(f287,plain,(
% 0.12/0.57 szNzAzT0=slcrc0|~aSet0(szNzAzT0)|aSet0(slbdtrb0(sK0_skl(szNzAzT0)))),
% 0.12/0.57 inference(resolution,[status(thm)],[f72,f264])).
% 0.12/0.57 fof(f288,plain,(
% 0.12/0.57 szNzAzT0=slcrc0|~aSet0(szNzAzT0)|~sK0_skl(szNzAzT0)=szszuzczcdt0(sK0_skl(szNzAzT0))),
% 0.12/0.57 inference(resolution,[status(thm)],[f72,f145])).
% 0.12/0.57 fof(f289,definition,(
% 0.12/0.57 sQ3_spl <=> (slcrc0=slcrc0)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f292,definition,(
% 0.12/0.57 sQ4_spl <=> (aSet0(slcrc0))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f294,plain,(
% 0.12/0.57 ~aSet0(slcrc0)|sQ4_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f292])).
% 0.12/0.57 fof(f296,definition,(
% 0.12/0.57 sQ5_spl <=> (szNzAzT0=slcrc0)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f297,plain,(
% 0.12/0.57 szNzAzT0=slcrc0|~sQ5_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f296])).
% 0.12/0.57 fof(f299,definition,(
% 0.12/0.57 sQ6_spl <=> (aSet0(szNzAzT0))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f301,plain,(
% 0.12/0.57 ~aSet0(szNzAzT0)|sQ6_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f299])).
% 0.12/0.57 fof(f302,definition,(
% 0.12/0.57 ![X0]: (sQ7_spl <=> (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(sK0_skl(szNzAzT0))|X0=sK0_skl(szNzAzT0)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f303,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(sK0_skl(szNzAzT0))|X0=sK0_skl(szNzAzT0)|~sQ7_spl)),
% 0.12/0.57 inference(component_clause,[status(thm)],[f302])).
% 0.12/0.57 fof(f305,plain,(
% 0.12/0.57 sQ5_spl|~sQ6_spl|sQ7_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f286,f296,f299,f302])).
% 0.12/0.57 fof(f306,definition,(
% 0.12/0.57 sQ8_spl <=> (aSet0(slbdtrb0(sK0_skl(szNzAzT0))))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f307,plain,(
% 0.12/0.57 aSet0(slbdtrb0(sK0_skl(szNzAzT0)))|~sQ8_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f306])).
% 0.12/0.57 fof(f309,plain,(
% 0.12/0.57 sQ5_spl|~sQ6_spl|sQ8_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f287,f296,f299,f306])).
% 0.12/0.57 fof(f310,definition,(
% 0.12/0.57 sQ9_spl <=> (sK0_skl(szNzAzT0)=szszuzczcdt0(sK0_skl(szNzAzT0)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f313,plain,(
% 0.12/0.57 sQ5_spl|~sQ6_spl|~sQ9_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f288,f296,f299,f310])).
% 0.12/0.57 fof(f314,plain,(
% 0.12/0.57 $false|sQ6_spl),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f301,f132])).
% 0.12/0.57 fof(f315,plain,(
% 0.12/0.57 sQ6_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f314])).
% 0.12/0.57 fof(f316,plain,(
% 0.12/0.57 ~aSet0(slcrc0)|~isCountable0(slcrc0)),
% 0.12/0.57 inference(resolution,[status(thm)],[f77,f73])).
% 0.12/0.57 fof(f317,definition,(
% 0.12/0.57 sQ10_spl <=> (isCountable0(slcrc0))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f320,plain,(
% 0.12/0.57 ~sQ4_spl|~sQ10_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f316,f292,f317])).
% 0.12/0.57 fof(f321,plain,(
% 0.12/0.57 $false|sQ4_spl),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f294,f247])).
% 0.12/0.57 fof(f322,plain,(
% 0.12/0.57 sQ4_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f321])).
% 0.12/0.57 fof(f323,plain,(
% 0.12/0.57 aElementOf0(sz00,slcrc0)|~sQ5_spl),
% 0.12/0.57 inference(backward_demodulation,[status(thm)],[f297,f134])).
% 0.12/0.57 fof(f333,plain,(
% 0.12/0.57 $false|~sQ5_spl),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f323,f248])).
% 0.12/0.57 fof(f334,plain,(
% 0.12/0.57 ~sQ5_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f333])).
% 0.12/0.57 fof(f341,plain,(
% 0.12/0.57 isFinite0(slbdtrb0(xn))),
% 0.12/0.57 inference(resolution,[status(thm)],[f220,f223])).
% 0.12/0.57 fof(f342,plain,(
% 0.12/0.57 isFinite0(slbdtrb0(sK0_skl(szNzAzT0)))|szNzAzT0=slcrc0|~aSet0(szNzAzT0)),
% 0.12/0.57 inference(resolution,[status(thm)],[f220,f72])).
% 0.12/0.57 fof(f343,plain,(
% 0.12/0.57 isFinite0(slbdtrb0(xm))),
% 0.12/0.57 inference(resolution,[status(thm)],[f220,f222])).
% 0.12/0.57 fof(f344,definition,(
% 0.12/0.57 sQ11_spl <=> (isFinite0(slbdtrb0(sK0_skl(szNzAzT0))))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f345,plain,(
% 0.12/0.57 isFinite0(slbdtrb0(sK0_skl(szNzAzT0)))|~sQ11_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f344])).
% 0.12/0.57 fof(f347,plain,(
% 0.12/0.57 sQ11_spl|sQ5_spl|~sQ6_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f342,f344,f296,f299])).
% 0.12/0.57 fof(f356,plain,(
% 0.12/0.57 ~aSet0(slbdtrb0(xn))|~isCountable0(slbdtrb0(xn))),
% 0.12/0.57 inference(resolution,[status(thm)],[f341,f77])).
% 0.12/0.57 fof(f357,definition,(
% 0.12/0.57 sQ12_spl <=> (aSet0(slbdtrb0(xn)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f359,plain,(
% 0.12/0.57 ~aSet0(slbdtrb0(xn))|sQ12_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f357])).
% 0.12/0.57 fof(f360,definition,(
% 0.12/0.57 sQ13_spl <=> (isCountable0(slbdtrb0(xn)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f363,plain,(
% 0.12/0.57 ~sQ12_spl|~sQ13_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f356,f357,f360])).
% 0.12/0.57 fof(f364,plain,(
% 0.12/0.57 $false|sQ12_spl),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f359,f272])).
% 0.12/0.57 fof(f365,plain,(
% 0.12/0.57 sQ12_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f364])).
% 0.12/0.57 fof(f366,plain,(
% 0.12/0.57 ~aSet0(slbdtrb0(xm))|~isCountable0(slbdtrb0(xm))),
% 0.12/0.57 inference(resolution,[status(thm)],[f343,f77])).
% 0.12/0.57 fof(f367,definition,(
% 0.12/0.57 sQ14_spl <=> (aSet0(slbdtrb0(xm)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f369,plain,(
% 0.12/0.57 ~aSet0(slbdtrb0(xm))|sQ14_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f367])).
% 0.12/0.57 fof(f370,definition,(
% 0.12/0.57 sQ15_spl <=> (isCountable0(slbdtrb0(xm)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f373,plain,(
% 0.12/0.57 ~sQ14_spl|~sQ15_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f366,f367,f370])).
% 0.12/0.57 fof(f374,plain,(
% 0.12/0.57 $false|sQ14_spl),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f369,f274])).
% 0.12/0.57 fof(f375,plain,(
% 0.12/0.57 sQ14_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f374])).
% 0.12/0.57 fof(f378,plain,(
% 0.12/0.57 ~aSet0(slbdtrb0(sK0_skl(szNzAzT0)))|~isCountable0(slbdtrb0(sK0_skl(szNzAzT0)))|~sQ11_spl),
% 0.12/0.57 inference(resolution,[status(thm)],[f345,f77])).
% 0.12/0.57 fof(f379,definition,(
% 0.12/0.57 sQ16_spl <=> (isCountable0(slbdtrb0(sK0_skl(szNzAzT0))))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f382,plain,(
% 0.12/0.57 ~sQ8_spl|~sQ16_spl|~sQ11_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f378,f306,f379,f344])).
% 0.12/0.57 fof(f393,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(sz00,szNzAzT0)|~aElementOf0(X0,slcrc0)|aElementOf0(X0,szNzAzT0))),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f221,f265])).
% 0.12/0.57 fof(f394,definition,(
% 0.12/0.57 sQ19_spl <=> (aElementOf0(xn,szNzAzT0))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f396,plain,(
% 0.12/0.57 ~aElementOf0(xn,szNzAzT0)|sQ19_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f394])).
% 0.12/0.57 fof(f397,definition,(
% 0.12/0.57 sQ20_spl <=> (aElementOf0(xm,szNzAzT0))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f399,plain,(
% 0.12/0.57 ~aElementOf0(xm,szNzAzT0)|sQ20_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f397])).
% 0.12/0.57 fof(f401,definition,(
% 0.12/0.57 sQ21_spl <=> (aElementOf0(sz00,szNzAzT0))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f403,plain,(
% 0.12/0.57 ~aElementOf0(sz00,szNzAzT0)|sQ21_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f401])).
% 0.12/0.57 fof(f404,definition,(
% 0.12/0.57 ![X0]: (sQ22_spl <=> (~aElementOf0(X0,slcrc0)|aElementOf0(X0,szNzAzT0)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f407,plain,(
% 0.12/0.57 ~sQ21_spl|sQ22_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f393,f401,f404])).
% 0.12/0.57 fof(f408,plain,(
% 0.12/0.57 $false|sQ21_spl),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f403,f134])).
% 0.12/0.57 fof(f409,plain,(
% 0.12/0.57 sQ21_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f408])).
% 0.12/0.57 fof(f410,plain,(
% 0.12/0.57 $false|sQ19_spl),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f396,f223])).
% 0.12/0.57 fof(f411,plain,(
% 0.12/0.57 sQ19_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f410])).
% 0.12/0.57 fof(f428,plain,(
% 0.12/0.57 ~aElementOf0(xn,szNzAzT0)|sdtlseqdt0(szszuzczcdt0(xm),xn)|~sQ1_spl),
% 0.12/0.57 inference(resolution,[status(thm)],[f266,f239])).
% 0.12/0.57 fof(f429,plain,(
% 0.12/0.57 ![X0]: (~aElementOf0(sz00,szNzAzT0)|~aElementOf0(X0,slcrc0)|sdtlseqdt0(szszuzczcdt0(X0),sz00))),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f221,f266])).
% 0.12/0.57 fof(f431,definition,(
% 0.12/0.57 sQ25_spl <=> (sdtlseqdt0(szszuzczcdt0(xm),xn))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f433,plain,(
% 0.12/0.57 ~sdtlseqdt0(szszuzczcdt0(xm),xn)|sQ25_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f431])).
% 0.12/0.57 fof(f434,plain,(
% 0.12/0.57 ~sQ19_spl|sQ25_spl|~sQ1_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f428,f394,f431,f238])).
% 0.12/0.57 fof(f435,definition,(
% 0.12/0.57 ![X0]: (sQ26_spl <=> (~aElementOf0(X0,slcrc0)|sdtlseqdt0(szszuzczcdt0(X0),sz00)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f438,plain,(
% 0.12/0.57 ~sQ21_spl|sQ26_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f429,f401,f435])).
% 0.12/0.57 fof(f439,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(X1,slbdtrb0(X0))|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1))),
% 0.12/0.57 inference(resolution,[status(thm)],[f267,f165])).
% 0.12/0.57 fof(f441,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(X1,slbdtrb0(X0))|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1))),
% 0.12/0.57 inference(duplicate_literals_removal,[status(thm)],[f439])).
% 0.12/0.57 fof(f444,plain,(
% 0.12/0.57 aElement0(sK0_skl(szNzAzT0))|szNzAzT0=slcrc0|~aSet0(szNzAzT0)),
% 0.12/0.57 inference(resolution,[status(thm)],[f281,f72])).
% 0.12/0.57 fof(f446,definition,(
% 0.12/0.57 sQ27_spl <=> (aElement0(sK0_skl(szNzAzT0)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f447,plain,(
% 0.12/0.57 aElement0(sK0_skl(szNzAzT0))|~sQ27_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f446])).
% 0.12/0.57 fof(f449,plain,(
% 0.12/0.57 sQ27_spl|sQ5_spl|~sQ6_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f444,f446,f296,f299])).
% 0.12/0.57 fof(f451,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|aSubsetOf0(slcrc0,X0)|aElementOf0(sK1_skl(slcrc0,X0),slcrc0))),
% 0.12/0.57 inference(resolution,[status(thm)],[f86,f247])).
% 0.12/0.57 fof(f455,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|aSubsetOf0(slcrc0,X0))),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f451,f248])).
% 0.12/0.57 fof(f457,plain,(
% 0.12/0.57 ~aElementOf0(szszuzczcdt0(xn),szNzAzT0)|sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))|~sQ0_spl),
% 0.12/0.57 inference(resolution,[status(thm)],[f236,f266])).
% 0.12/0.57 fof(f459,definition,(
% 0.12/0.57 sQ28_spl <=> (aElementOf0(szszuzczcdt0(xn),szNzAzT0))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f461,plain,(
% 0.12/0.57 ~aElementOf0(szszuzczcdt0(xn),szNzAzT0)|sQ28_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f459])).
% 0.12/0.57 fof(f462,definition,(
% 0.12/0.57 sQ29_spl <=> (sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f463,plain,(
% 0.12/0.57 sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))|~sQ29_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f462])).
% 0.12/0.57 fof(f464,plain,(
% 0.12/0.57 ~sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))|sQ29_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f462])).
% 0.12/0.57 fof(f465,plain,(
% 0.12/0.57 ~sQ28_spl|sQ29_spl|~sQ0_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f457,f459,f462,f235])).
% 0.12/0.57 fof(f468,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~aElementOf0(szszuzczcdt0(X1),szNzAzT0)|aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))|~aElementOf0(X0,szNzAzT0))),
% 0.12/0.57 inference(resolution,[status(thm)],[f154,f267])).
% 0.12/0.57 fof(f469,plain,(
% 0.12/0.57 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~aElementOf0(szszuzczcdt0(X1),szNzAzT0)|aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))))),
% 0.12/0.57 inference(duplicate_literals_removal,[status(thm)],[f468])).
% 0.12/0.57 fof(f472,plain,(
% 0.12/0.57 aElementOf0(szszuzczcdt0(sz00),szNzAzT0)),
% 0.12/0.57 inference(resolution,[status(thm)],[f136,f134])).
% 0.12/0.57 fof(f473,plain,(
% 0.12/0.57 aElementOf0(szszuzczcdt0(xn),szNzAzT0)),
% 0.12/0.57 inference(resolution,[status(thm)],[f136,f223])).
% 0.12/0.57 fof(f474,plain,(
% 0.12/0.57 aElementOf0(szszuzczcdt0(sK0_skl(szNzAzT0)),szNzAzT0)|szNzAzT0=slcrc0|~aSet0(szNzAzT0)),
% 0.12/0.57 inference(resolution,[status(thm)],[f136,f72])).
% 0.12/0.57 fof(f475,plain,(
% 0.12/0.57 aElementOf0(szszuzczcdt0(xm),szNzAzT0)),
% 0.12/0.57 inference(resolution,[status(thm)],[f136,f222])).
% 0.12/0.57 fof(f476,plain,(
% 0.12/0.57 $false|sQ28_spl),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f473,f461])).
% 0.12/0.57 fof(f477,plain,(
% 0.12/0.57 sQ28_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f476])).
% 0.12/0.57 fof(f478,definition,(
% 0.12/0.57 sQ30_spl <=> (aElementOf0(szszuzczcdt0(sK0_skl(szNzAzT0)),szNzAzT0))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f479,plain,(
% 0.12/0.57 aElementOf0(szszuzczcdt0(sK0_skl(szNzAzT0)),szNzAzT0)|~sQ30_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f478])).
% 0.12/0.57 fof(f481,plain,(
% 0.12/0.57 sQ30_spl|sQ5_spl|~sQ6_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f474,f478,f296,f299])).
% 0.12/0.57 fof(f484,plain,(
% 0.12/0.57 aSet0(slbdtrb0(szszuzczcdt0(sz00)))),
% 0.12/0.57 inference(resolution,[status(thm)],[f472,f264])).
% 0.12/0.57 fof(f485,plain,(
% 0.12/0.57 isFinite0(slbdtrb0(szszuzczcdt0(sz00)))),
% 0.12/0.57 inference(resolution,[status(thm)],[f472,f220])).
% 0.12/0.57 fof(f505,definition,(
% 0.12/0.57 sQ31_spl <=> (szszuzczcdt0(sK0_skl(szNzAzT0))=szszuzczcdt0(szszuzczcdt0(sK0_skl(szNzAzT0))))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f509,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|~aSet0(X0)|~isFinite0(X0)|isFinite0(slcrc0))),
% 0.12/0.57 inference(resolution,[status(thm)],[f455,f89])).
% 0.12/0.57 fof(f512,definition,(
% 0.12/0.57 ![X0]: (sQ32_spl <=> (~aSet0(X0)|~aSet0(X0)|~isFinite0(X0)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f513,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|~aSet0(X0)|~isFinite0(X0)|~sQ32_spl)),
% 0.12/0.57 inference(component_clause,[status(thm)],[f512])).
% 0.12/0.57 fof(f515,definition,(
% 0.12/0.57 sQ33_spl <=> (isFinite0(slcrc0))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f518,plain,(
% 0.12/0.57 sQ32_spl|sQ33_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f509,f512,f515])).
% 0.12/0.57 fof(f520,definition,(
% 0.12/0.57 ![X0]: (sQ34_spl <=> (~aSet0(X0)|~aSet0(X0)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f521,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|~aSet0(X0)|~sQ34_spl)),
% 0.12/0.57 inference(component_clause,[status(thm)],[f520])).
% 0.12/0.57 fof(f524,plain,(
% 0.12/0.57 ![X0]: (~aSet0(X0)|~isFinite0(X0)|~sQ32_spl)),
% 0.12/0.57 inference(duplicate_literals_removal,[status(thm)],[f513])).
% 0.12/0.57 fof(f525,plain,(
% 0.12/0.57 ~aSet0(slbdtrb0(sK0_skl(szNzAzT0)))|~sQ32_spl|~sQ11_spl),
% 0.12/0.57 inference(resolution,[status(thm)],[f524,f345])).
% 0.12/0.57 fof(f529,plain,(
% 0.12/0.57 $false|~sQ8_spl|~sQ32_spl|~sQ11_spl),
% 0.12/0.57 inference(forward_subsumption_resolution,[status(thm)],[f525,f307])).
% 0.12/0.57 fof(f530,plain,(
% 0.12/0.57 ~sQ8_spl|~sQ32_spl|~sQ11_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f529])).
% 0.12/0.58 fof(f533,plain,(
% 0.12/0.58 aElementOf0(szszuzczcdt0(szszuzczcdt0(xn)),szNzAzT0)),
% 0.12/0.58 inference(resolution,[status(thm)],[f473,f136])).
% 0.12/0.58 fof(f552,plain,(
% 0.12/0.58 ~aElementOf0(xm,szNzAzT0)|~aElementOf0(xn,szNzAzT0)|sdtlseqdt0(xm,xn)|~sQ29_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f463,f155])).
% 0.12/0.58 fof(f554,definition,(
% 0.12/0.58 sQ35_spl <=> (sdtlseqdt0(xm,xn))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f556,plain,(
% 0.12/0.58 ~sdtlseqdt0(xm,xn)|sQ35_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f554])).
% 0.12/0.58 fof(f557,plain,(
% 0.12/0.58 ~sQ20_spl|~sQ19_spl|sQ35_spl|~sQ29_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f552,f397,f394,f554,f462])).
% 0.12/0.58 fof(f561,plain,(
% 0.12/0.58 ~szszuzczcdt0(szszuzczcdt0(xn))=szszuzczcdt0(xn)|szszuzczcdt0(xn)=xn),
% 0.12/0.58 inference(resolution,[status(thm)],[f275,f473])).
% 0.12/0.58 fof(f562,plain,(
% 0.12/0.58 ~szszuzczcdt0(szszuzczcdt0(xm))=szszuzczcdt0(xn)|szszuzczcdt0(xm)=xn),
% 0.12/0.58 inference(resolution,[status(thm)],[f275,f475])).
% 0.12/0.58 fof(f568,definition,(
% 0.12/0.58 sQ36_spl <=> (szszuzczcdt0(szszuzczcdt0(xn))=szszuzczcdt0(xn))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f571,definition,(
% 0.12/0.58 sQ37_spl <=> (szszuzczcdt0(xn)=xn)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f572,plain,(
% 0.12/0.58 szszuzczcdt0(xn)=xn|~sQ37_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f571])).
% 0.12/0.58 fof(f574,plain,(
% 0.12/0.58 ~sQ36_spl|sQ37_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f561,f568,f571])).
% 0.12/0.58 fof(f575,definition,(
% 0.12/0.58 sQ38_spl <=> (szszuzczcdt0(szszuzczcdt0(xm))=szszuzczcdt0(xn))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f578,definition,(
% 0.12/0.58 sQ39_spl <=> (szszuzczcdt0(xm)=xn)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f579,plain,(
% 0.12/0.58 szszuzczcdt0(xm)=xn|~sQ39_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f578])).
% 0.12/0.58 fof(f581,plain,(
% 0.12/0.58 ~sQ38_spl|sQ39_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f562,f575,f578])).
% 0.12/0.58 fof(f596,definition,(
% 0.12/0.58 sQ44_spl <=> (szszuzczcdt0(xn)=szszuzczcdt0(xn))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f598,plain,(
% 0.12/0.58 ~szszuzczcdt0(xn)=szszuzczcdt0(xn)|sQ44_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f596])).
% 0.12/0.58 fof(f599,definition,(
% 0.12/0.58 sQ45_spl <=> (xn=xn)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f614,plain,(
% 0.12/0.58 $false|sQ44_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f598])).
% 0.12/0.58 fof(f615,plain,(
% 0.12/0.58 sQ44_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f614])).
% 0.12/0.58 fof(f621,plain,(
% 0.12/0.58 aSet0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|~sQ30_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f479,f264])).
% 0.12/0.58 fof(f622,plain,(
% 0.12/0.58 isFinite0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|~sQ30_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f479,f220])).
% 0.12/0.58 fof(f653,plain,(
% 0.12/0.58 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(szszuzczcdt0(sK0_skl(szNzAzT0)))|X0=szszuzczcdt0(sK0_skl(szNzAzT0))|szNzAzT0=slcrc0|~aSet0(szNzAzT0))),
% 0.12/0.58 inference(resolution,[status(thm)],[f276,f72])).
% 0.12/0.58 fof(f655,definition,(
% 0.12/0.58 ![X0]: (sQ53_spl <=> (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(szszuzczcdt0(sK0_skl(szNzAzT0)))|X0=szszuzczcdt0(sK0_skl(szNzAzT0))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f658,plain,(
% 0.12/0.58 sQ53_spl|sQ5_spl|~sQ6_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f653,f655,f296,f299])).
% 0.12/0.58 fof(f662,plain,(
% 0.12/0.58 ~szszuzczcdt0(szszuzczcdt0(xm))=szszuzczcdt0(xm)|szszuzczcdt0(xm)=xm),
% 0.12/0.58 inference(resolution,[status(thm)],[f277,f475])).
% 0.12/0.58 fof(f667,plain,(
% 0.12/0.58 ~szszuzczcdt0(xm)=szszuzczcdt0(xm)|xm=xm),
% 0.12/0.58 inference(resolution,[status(thm)],[f277,f222])).
% 0.12/0.58 fof(f689,definition,(
% 0.12/0.58 sQ60_spl <=> (szszuzczcdt0(szszuzczcdt0(xm))=szszuzczcdt0(xm))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f692,definition,(
% 0.12/0.58 sQ61_spl <=> (szszuzczcdt0(xm)=xm)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f693,plain,(
% 0.12/0.58 szszuzczcdt0(xm)=xm|~sQ61_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f692])).
% 0.12/0.58 fof(f695,plain,(
% 0.12/0.58 ~sQ60_spl|sQ61_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f662,f689,f692])).
% 0.12/0.58 fof(f718,definition,(
% 0.12/0.58 sQ68_spl <=> (szszuzczcdt0(xm)=szszuzczcdt0(xm))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f720,plain,(
% 0.12/0.58 ~szszuzczcdt0(xm)=szszuzczcdt0(xm)|sQ68_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f718])).
% 0.12/0.58 fof(f721,definition,(
% 0.12/0.58 sQ69_spl <=> (xm=xm)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f724,plain,(
% 0.12/0.58 ~sQ68_spl|sQ69_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f667,f718,f721])).
% 0.12/0.58 fof(f725,plain,(
% 0.12/0.58 $false|sQ68_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f720])).
% 0.12/0.58 fof(f726,plain,(
% 0.12/0.58 sQ68_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f725])).
% 0.12/0.58 fof(f728,plain,(
% 0.12/0.58 ![X0]: (~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))|~aElementOf0(X0,szNzAzT0))),
% 0.12/0.58 inference(resolution,[status(thm)],[f159,f267])).
% 0.12/0.58 fof(f730,plain,(
% 0.12/0.58 ![X0]: (~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))|~aElementOf0(X0,szNzAzT0))),
% 0.12/0.58 inference(duplicate_literals_removal,[status(thm)],[f728])).
% 0.12/0.58 fof(f731,plain,(
% 0.12/0.58 ![X0]: (aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))|~aElementOf0(X0,szNzAzT0))),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f730,f136])).
% 0.12/0.58 fof(f732,plain,(
% 0.12/0.58 ~aSet0(szNzAzT0)|~isFinite0(szNzAzT0)),
% 0.12/0.58 inference(resolution,[status(thm)],[f77,f133])).
% 0.12/0.58 fof(f733,definition,(
% 0.12/0.58 sQ70_spl <=> (isFinite0(szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f736,plain,(
% 0.12/0.58 ~sQ6_spl|~sQ70_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f732,f299,f733])).
% 0.12/0.58 fof(f739,plain,(
% 0.12/0.58 ~szszuzczcdt0(szszuzczcdt0(xn))=sz00),
% 0.12/0.58 inference(resolution,[status(thm)],[f137,f473])).
% 0.12/0.58 fof(f744,plain,(
% 0.12/0.58 ~szszuzczcdt0(sK0_skl(szNzAzT0))=sz00|szNzAzT0=slcrc0|~aSet0(szNzAzT0)),
% 0.12/0.58 inference(resolution,[status(thm)],[f137,f72])).
% 0.12/0.58 fof(f746,definition,(
% 0.12/0.58 sQ71_spl <=> (szszuzczcdt0(sK0_skl(szNzAzT0))=sz00)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f749,plain,(
% 0.12/0.58 ~sQ71_spl|sQ5_spl|~sQ6_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f744,f746,f296,f299])).
% 0.12/0.58 fof(f754,plain,(
% 0.12/0.58 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X2,sdtpldt0(X0,X1))|~aElementOf0(X2,X0))),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f253,f63])).
% 0.12/0.58 fof(f757,plain,(
% 0.12/0.58 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~aElementOf0(X2,X0)|~aSet0(X0)|~aElement0(X1)|aElement0(X2))),
% 0.12/0.58 inference(resolution,[status(thm)],[f754,f251])).
% 0.12/0.58 fof(f759,definition,(
% 0.12/0.58 ![X0,X2]: (sQ72_spl <=> (~aSet0(X0)|~aElementOf0(X2,X0)|~aSet0(X0)|aElement0(X2)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f762,definition,(
% 0.12/0.58 ![X1]: (sQ73_spl <=> (~aElement0(X1)|~aElement0(X1)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f763,plain,(
% 0.12/0.58 ![X0]: (~aElement0(X0)|~aElement0(X0)|~sQ73_spl)),
% 0.12/0.58 inference(component_clause,[status(thm)],[f762])).
% 0.12/0.58 fof(f765,plain,(
% 0.12/0.58 sQ72_spl|sQ73_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f757,f759,f762])).
% 0.12/0.58 fof(f768,plain,(
% 0.12/0.58 ~szszuzczcdt0(szszuzczcdt0(sK0_skl(szNzAzT0)))=szszuzczcdt0(sz00)|szszuzczcdt0(sK0_skl(szNzAzT0))=sz00|~sQ30_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f278,f479])).
% 0.12/0.58 fof(f769,plain,(
% 0.12/0.58 ~szszuzczcdt0(szszuzczcdt0(xn))=szszuzczcdt0(sz00)|szszuzczcdt0(xn)=sz00),
% 0.12/0.58 inference(resolution,[status(thm)],[f278,f473])).
% 0.12/0.58 fof(f770,plain,(
% 0.12/0.58 ~szszuzczcdt0(szszuzczcdt0(xm))=szszuzczcdt0(sz00)|szszuzczcdt0(xm)=sz00),
% 0.12/0.58 inference(resolution,[status(thm)],[f278,f475])).
% 0.12/0.58 fof(f772,plain,(
% 0.12/0.58 ~szszuzczcdt0(sz00)=szszuzczcdt0(sz00)|sz00=sz00),
% 0.12/0.58 inference(resolution,[status(thm)],[f278,f134])).
% 0.12/0.58 fof(f783,definition,(
% 0.12/0.58 sQ76_spl <=> (szszuzczcdt0(szszuzczcdt0(sK0_skl(szNzAzT0)))=szszuzczcdt0(sz00))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f786,plain,(
% 0.12/0.58 ~sQ76_spl|sQ71_spl|~sQ30_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f768,f783,f746,f478])).
% 0.12/0.58 fof(f787,definition,(
% 0.12/0.58 sQ77_spl <=> (szszuzczcdt0(szszuzczcdt0(xn))=szszuzczcdt0(sz00))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f790,definition,(
% 0.12/0.58 sQ78_spl <=> (szszuzczcdt0(xn)=sz00)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f791,plain,(
% 0.12/0.58 szszuzczcdt0(xn)=sz00|~sQ78_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f790])).
% 0.12/0.58 fof(f793,plain,(
% 0.12/0.58 ~sQ77_spl|sQ78_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f769,f787,f790])).
% 0.12/0.58 fof(f794,definition,(
% 0.12/0.58 sQ79_spl <=> (szszuzczcdt0(szszuzczcdt0(xm))=szszuzczcdt0(sz00))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f797,definition,(
% 0.12/0.58 sQ80_spl <=> (szszuzczcdt0(xm)=sz00)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f798,plain,(
% 0.12/0.58 szszuzczcdt0(xm)=sz00|~sQ80_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f797])).
% 0.12/0.58 fof(f800,plain,(
% 0.12/0.58 ~sQ79_spl|sQ80_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f770,f794,f797])).
% 0.12/0.58 fof(f808,definition,(
% 0.12/0.58 sQ83_spl <=> (szszuzczcdt0(sz00)=szszuzczcdt0(sz00))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f810,plain,(
% 0.12/0.58 ~szszuzczcdt0(sz00)=szszuzczcdt0(sz00)|sQ83_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f808])).
% 0.12/0.58 fof(f811,definition,(
% 0.12/0.58 sQ84_spl <=> (sz00=sz00)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f814,plain,(
% 0.12/0.58 ~sQ83_spl|sQ84_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f772,f808,f811])).
% 0.12/0.58 fof(f824,plain,(
% 0.12/0.58 $false|sQ83_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f810])).
% 0.12/0.58 fof(f825,plain,(
% 0.12/0.58 sQ83_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f824])).
% 0.12/0.58 fof(f861,plain,(
% 0.12/0.58 ~szszuzczcdt0(szszuzczcdt0(sK0_skl(szNzAzT0)))=szszuzczcdt0(sK0_skl(szNzAzT0))|szszuzczcdt0(sK0_skl(szNzAzT0))=sK0_skl(szNzAzT0)|~sQ7_spl|~sQ30_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f303,f479])).
% 0.12/0.58 fof(f867,plain,(
% 0.12/0.58 ~szszuzczcdt0(sK0_skl(szNzAzT0))=szszuzczcdt0(sK0_skl(szNzAzT0))|sK0_skl(szNzAzT0)=sK0_skl(szNzAzT0)|szNzAzT0=slcrc0|~aSet0(szNzAzT0)|~sQ7_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f303,f72])).
% 0.12/0.58 fof(f883,plain,(
% 0.12/0.58 ~sQ31_spl|sQ9_spl|~sQ7_spl|~sQ30_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f861,f505,f310,f302,f478])).
% 0.12/0.58 fof(f907,definition,(
% 0.12/0.58 sQ103_spl <=> (szszuzczcdt0(sK0_skl(szNzAzT0))=szszuzczcdt0(sK0_skl(szNzAzT0)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f909,plain,(
% 0.12/0.58 ~szszuzczcdt0(sK0_skl(szNzAzT0))=szszuzczcdt0(sK0_skl(szNzAzT0))|sQ103_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f907])).
% 0.12/0.58 fof(f910,definition,(
% 0.12/0.58 sQ104_spl <=> (sK0_skl(szNzAzT0)=sK0_skl(szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f913,plain,(
% 0.12/0.58 ~sQ103_spl|sQ104_spl|sQ5_spl|~sQ6_spl|~sQ7_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f867,f907,f910,f296,f299,f302])).
% 0.12/0.58 fof(f915,plain,(
% 0.12/0.58 $false|sQ103_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f909])).
% 0.12/0.58 fof(f916,plain,(
% 0.12/0.58 sQ103_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f915])).
% 0.12/0.58 fof(f1021,plain,(
% 0.12/0.58 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|~aSet0(X0)|~aElement0(X1)|aElement0(X1))),
% 0.12/0.58 inference(resolution,[status(thm)],[f255,f251])).
% 0.12/0.58 fof(f1022,definition,(
% 0.12/0.58 ![X1]: (sQ125_spl <=> (~aElement0(X1)|~aElement0(X1)|aElement0(X1)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1025,plain,(
% 0.12/0.58 sQ34_spl|sQ125_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1021,f520,f1022])).
% 0.12/0.58 fof(f1026,plain,(
% 0.12/0.58 ![X0]: (~aSet0(X0)|~sQ34_spl)),
% 0.12/0.58 inference(duplicate_literals_removal,[status(thm)],[f521])).
% 0.12/0.58 fof(f1109,plain,(
% 0.12/0.58 ~aElementOf0(xn,szNzAzT0)|~aElementOf0(xm,szNzAzT0)|sdtlseqdt0(xn,xm)|sQ1_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f441,f240])).
% 0.12/0.58 fof(f1115,plain,(
% 0.12/0.58 ![X0]: (~aElementOf0(sz00,szNzAzT0)|aElementOf0(X0,slcrc0)|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f221,f441])).
% 0.12/0.58 fof(f1116,definition,(
% 0.12/0.58 sQ137_spl <=> (sdtlseqdt0(xn,xm))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1117,plain,(
% 0.12/0.58 sdtlseqdt0(xn,xm)|~sQ137_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f1116])).
% 0.12/0.58 fof(f1119,plain,(
% 0.12/0.58 ~sQ19_spl|~sQ20_spl|sQ137_spl|sQ1_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1109,f394,f397,f1116,f238])).
% 0.12/0.58 fof(f1124,definition,(
% 0.12/0.58 ![X0]: (sQ138_spl <=> (aElementOf0(X0,slcrc0)|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1127,plain,(
% 0.12/0.58 ~sQ21_spl|sQ138_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1115,f401,f1124])).
% 0.12/0.58 fof(f1133,plain,(
% 0.12/0.58 $false|~sQ34_spl),
% 0.12/0.58 inference(backward_subsumption_resolution,[status(thm)],[f132,f1026])).
% 0.12/0.58 fof(f1141,plain,(
% 0.12/0.58 ~sQ34_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f1133])).
% 0.12/0.58 fof(f1172,plain,(
% 0.12/0.58 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))))),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f469,f136])).
% 0.12/0.58 fof(f1179,plain,(
% 0.12/0.58 sdtlseqdt0(sz00,szszuzczcdt0(xn))),
% 0.12/0.58 inference(resolution,[status(thm)],[f149,f473])).
% 0.12/0.58 fof(f1182,plain,(
% 0.12/0.58 sdtlseqdt0(sz00,sz00)),
% 0.12/0.58 inference(resolution,[status(thm)],[f149,f134])).
% 0.12/0.58 fof(f1183,plain,(
% 0.12/0.58 sdtlseqdt0(sz00,xn)),
% 0.12/0.58 inference(resolution,[status(thm)],[f149,f223])).
% 0.12/0.58 fof(f1188,plain,(
% 0.12/0.58 ~szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn)))=szszuzczcdt0(sz00)|szszuzczcdt0(szszuzczcdt0(xn))=sz00),
% 0.12/0.58 inference(resolution,[status(thm)],[f533,f278])).
% 0.12/0.58 fof(f1206,definition,(
% 0.12/0.58 sQ141_spl <=> (szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(xn)))=szszuzczcdt0(sz00))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1209,definition,(
% 0.12/0.58 sQ142_spl <=> (szszuzczcdt0(szszuzczcdt0(xn))=sz00)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1210,plain,(
% 0.12/0.58 szszuzczcdt0(szszuzczcdt0(xn))=sz00|~sQ142_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f1209])).
% 0.12/0.58 fof(f1212,plain,(
% 0.12/0.58 ~sQ141_spl|sQ142_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1188,f1206,f1209])).
% 0.12/0.58 fof(f1227,plain,(
% 0.12/0.58 $false|~sQ142_spl),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1210,f739])).
% 0.12/0.58 fof(f1228,plain,(
% 0.12/0.58 ~sQ142_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f1227])).
% 0.12/0.58 fof(f1356,plain,(
% 0.12/0.58 sbrdtbr0(slcrc0)=sz00),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f259,f247])).
% 0.12/0.58 fof(f1357,plain,(
% 0.12/0.58 ~aSet0(slcrc0)|aElement0(sz00)),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f1356,f171])).
% 0.12/0.58 fof(f1358,definition,(
% 0.12/0.58 sQ168_spl <=> (aElement0(sz00))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1361,plain,(
% 0.12/0.58 ~sQ4_spl|sQ168_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1357,f292,f1358])).
% 0.12/0.58 fof(f1573,plain,(
% 0.12/0.58 ![X0]: (~aElement0(X0)|~sQ73_spl)),
% 0.12/0.58 inference(duplicate_literals_removal,[status(thm)],[f763])).
% 0.12/0.58 fof(f1574,plain,(
% 0.12/0.58 $false|~sQ61_spl),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f693,f271])).
% 0.12/0.58 fof(f1575,plain,(
% 0.12/0.58 ~sQ61_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f1574])).
% 0.12/0.58 fof(f1576,plain,(
% 0.12/0.58 $false|~sQ37_spl),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f572,f269])).
% 0.12/0.58 fof(f1577,plain,(
% 0.12/0.58 ~sQ37_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f1576])).
% 0.12/0.58 fof(f1584,plain,(
% 0.12/0.58 $false|~sQ73_spl|~sQ27_spl),
% 0.12/0.58 inference(backward_subsumption_resolution,[status(thm)],[f447,f1573])).
% 0.12/0.58 fof(f1593,plain,(
% 0.12/0.58 ~sQ73_spl|~sQ27_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f1584])).
% 0.12/0.58 fof(f1599,plain,(
% 0.12/0.58 szszuzczcdt0(sK0_skl(szNzAzT0))=sz00|aElementOf0(sK4_skl(szszuzczcdt0(sK0_skl(szNzAzT0))),szNzAzT0)|~sQ30_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f142,f479])).
% 0.12/0.58 fof(f1601,plain,(
% 0.12/0.58 szszuzczcdt0(xn)=sz00|aElementOf0(sK4_skl(szszuzczcdt0(xn)),szNzAzT0)),
% 0.12/0.58 inference(resolution,[status(thm)],[f142,f473])).
% 0.12/0.58 fof(f1602,plain,(
% 0.12/0.58 szszuzczcdt0(xm)=sz00|aElementOf0(sK4_skl(szszuzczcdt0(xm)),szNzAzT0)),
% 0.12/0.58 inference(resolution,[status(thm)],[f142,f475])).
% 0.12/0.58 fof(f1605,definition,(
% 0.12/0.58 sQ181_spl <=> (aElementOf0(sK4_skl(szszuzczcdt0(sK0_skl(szNzAzT0))),szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1608,plain,(
% 0.12/0.58 sQ71_spl|sQ181_spl|~sQ30_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1599,f746,f1605,f478])).
% 0.12/0.58 fof(f1613,definition,(
% 0.12/0.58 sQ183_spl <=> (aElementOf0(sK4_skl(szszuzczcdt0(xn)),szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1616,plain,(
% 0.12/0.58 sQ78_spl|sQ183_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1601,f790,f1613])).
% 0.12/0.58 fof(f1617,definition,(
% 0.12/0.58 sQ184_spl <=> (aElementOf0(sK4_skl(szszuzczcdt0(xm)),szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1620,plain,(
% 0.12/0.58 sQ80_spl|sQ184_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1602,f797,f1617])).
% 0.12/0.58 fof(f1629,plain,(
% 0.12/0.58 szszuzczcdt0(sK0_skl(szNzAzT0))=sz00|szszuzczcdt0(sK0_skl(szNzAzT0))=szszuzczcdt0(sK4_skl(szszuzczcdt0(sK0_skl(szNzAzT0))))|~sQ30_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f143,f479])).
% 0.12/0.58 fof(f1631,plain,(
% 0.12/0.58 szszuzczcdt0(xn)=sz00|szszuzczcdt0(xn)=szszuzczcdt0(sK4_skl(szszuzczcdt0(xn)))),
% 0.12/0.58 inference(resolution,[status(thm)],[f143,f473])).
% 0.12/0.58 fof(f1632,plain,(
% 0.12/0.58 szszuzczcdt0(xm)=sz00|szszuzczcdt0(xm)=szszuzczcdt0(sK4_skl(szszuzczcdt0(xm)))),
% 0.12/0.58 inference(resolution,[status(thm)],[f143,f475])).
% 0.12/0.58 fof(f1635,definition,(
% 0.12/0.58 sQ187_spl <=> (szszuzczcdt0(sK0_skl(szNzAzT0))=szszuzczcdt0(sK4_skl(szszuzczcdt0(sK0_skl(szNzAzT0)))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1638,plain,(
% 0.12/0.58 sQ71_spl|sQ187_spl|~sQ30_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1629,f746,f1635,f478])).
% 0.12/0.58 fof(f1643,definition,(
% 0.12/0.58 sQ189_spl <=> (szszuzczcdt0(xn)=szszuzczcdt0(sK4_skl(szszuzczcdt0(xn))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1646,plain,(
% 0.12/0.58 sQ78_spl|sQ189_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1631,f790,f1643])).
% 0.12/0.58 fof(f1647,definition,(
% 0.12/0.58 sQ190_spl <=> (szszuzczcdt0(xm)=szszuzczcdt0(sK4_skl(szszuzczcdt0(xm))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1650,plain,(
% 0.12/0.58 sQ80_spl|sQ190_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1632,f797,f1647])).
% 0.12/0.58 fof(f1713,plain,(
% 0.12/0.58 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 0.12/0.58 inference(resolution,[status(thm)],[f151,f165])).
% 0.12/0.58 fof(f1715,definition,(
% 0.12/0.58 ![X0]: (sQ195_spl <=> (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1718,plain,(
% 0.12/0.58 sQ195_spl|~sQ21_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1713,f1715,f401])).
% 0.12/0.58 fof(f1724,plain,(
% 0.12/0.58 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xn)|~sdtlseqdt0(xn,X0)|X0=xn)),
% 0.12/0.58 inference(resolution,[status(thm)],[f161,f223])).
% 0.12/0.58 fof(f1726,plain,(
% 0.12/0.58 ![X0]: (~aElementOf0(szszuzczcdt0(xm),szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(xn,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~sdtlseqdt0(X0,xn)|sQ25_spl)),
% 0.12/0.58 inference(resolution,[status(thm)],[f163,f433])).
% 0.12/0.58 fof(f1728,plain,(
% 0.12/0.58 ![X0,X1]: (~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|~sdtlseqdt0(X1,sz00)|~aElementOf0(X0,szNzAzT0))),
% 0.12/0.58 inference(resolution,[status(thm)],[f163,f151])).
% 0.12/0.58 fof(f1731,definition,(
% 0.12/0.58 sQ196_spl <=> (aElementOf0(szszuzczcdt0(xm),szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1733,plain,(
% 0.12/0.58 ~aElementOf0(szszuzczcdt0(xm),szNzAzT0)|sQ196_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f1731])).
% 0.12/0.58 fof(f1734,definition,(
% 0.12/0.58 ![X0]: (sQ197_spl <=> (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~sdtlseqdt0(X0,xn)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1735,plain,(
% 0.12/0.58 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~sdtlseqdt0(X0,xn)|~sQ197_spl)),
% 0.12/0.58 inference(component_clause,[status(thm)],[f1734])).
% 0.12/0.58 fof(f1737,plain,(
% 0.12/0.58 ~sQ196_spl|sQ197_spl|~sQ19_spl|sQ25_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1726,f1731,f1734,f394,f431])).
% 0.12/0.58 fof(f1742,definition,(
% 0.12/0.58 ![X0,X1]: (sQ199_spl <=> (~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|~sdtlseqdt0(X1,sz00)|~aElementOf0(X0,szNzAzT0)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1745,plain,(
% 0.12/0.58 sQ199_spl|~sQ21_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1728,f1742,f401])).
% 0.12/0.58 fof(f1750,plain,(
% 0.12/0.58 $false|sQ196_spl),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1733,f475])).
% 0.12/0.58 fof(f1751,plain,(
% 0.12/0.58 sQ196_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f1750])).
% 0.12/0.58 fof(f1754,plain,(
% 0.12/0.58 ![X0]: (~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(X0))|~aElementOf0(xn,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(xn,X0)|~sQ197_spl)),
% 0.12/0.58 inference(resolution,[status(thm)],[f1735,f165])).
% 0.12/0.58 fof(f1755,plain,(
% 0.12/0.58 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(xn,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,xn)|~sQ197_spl)),
% 0.12/0.58 inference(resolution,[status(thm)],[f1735,f163])).
% 0.12/0.58 fof(f1768,definition,(
% 0.12/0.58 ![X0]: (sQ203_spl <=> (~aElementOf0(szszuzczcdt0(X0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(X0))|~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(xn,X0)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1771,plain,(
% 0.12/0.58 sQ203_spl|~sQ19_spl|~sQ197_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1754,f1768,f394,f1734])).
% 0.12/0.58 fof(f1772,definition,(
% 0.12/0.58 ![X0,X1]: (sQ204_spl <=> (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,xn)))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1775,plain,(
% 0.12/0.58 sQ204_spl|~sQ19_spl|~sQ197_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1755,f1772,f394,f1734])).
% 0.12/0.58 fof(f1795,plain,(
% 0.12/0.58 sdtlseqdt0(xm,xm)|~sQ2_spl|~sQ137_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f242,f1117])).
% 0.12/0.58 fof(f1808,plain,(
% 0.12/0.58 ~aElementOf0(xm,szNzAzT0)|~aElementOf0(xn,szNzAzT0)|~sdtlseqdt0(xm,xn)|sQ0_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f237,f1172])).
% 0.12/0.58 fof(f1810,plain,(
% 0.12/0.58 ~sQ20_spl|~sQ19_spl|~sQ35_spl|sQ0_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1808,f397,f394,f554,f235])).
% 0.12/0.58 fof(f1823,plain,(
% 0.12/0.58 ~aElementOf0(xm,szNzAzT0)|~sdtlseqdt0(sz00,sz00)|~sQ80_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f798,f151])).
% 0.12/0.58 fof(f1836,definition,(
% 0.12/0.58 sQ205_spl <=> (sdtlseqdt0(sz00,sz00))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f1838,plain,(
% 0.12/0.58 ~sdtlseqdt0(sz00,sz00)|sQ205_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f1836])).
% 0.12/0.58 fof(f1839,plain,(
% 0.12/0.58 ~sQ20_spl|~sQ205_spl|~sQ80_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1823,f397,f1836,f797])).
% 0.12/0.58 fof(f1885,plain,(
% 0.12/0.58 ~aElementOf0(xn,szNzAzT0)|~sdtlseqdt0(sz00,sz00)|~sQ78_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f791,f151])).
% 0.12/0.58 fof(f1897,plain,(
% 0.12/0.58 ~sQ19_spl|~sQ205_spl|~sQ78_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1885,f394,f1836,f790])).
% 0.12/0.58 fof(f1942,plain,(
% 0.12/0.58 aElementOf0(xm,slbdtrb0(xn))|~aElementOf0(xm,szNzAzT0)|~sQ39_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f579,f731])).
% 0.12/0.58 fof(f1954,plain,(
% 0.12/0.58 sQ1_spl|~sQ20_spl|~sQ39_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f1942,f238,f397,f578])).
% 0.12/0.58 fof(f1993,plain,(
% 0.12/0.58 isFinite0(slbdtrb0(xn))),
% 0.12/0.58 inference(resolution,[status(thm)],[f223,f220])).
% 0.12/0.58 fof(f2025,plain,(
% 0.12/0.58 ~aSet0(slbdtrb0(xm))|aElementOf0(sbrdtbr0(slbdtrb0(xm)),szNzAzT0)),
% 0.12/0.58 inference(resolution,[status(thm)],[f175,f343])).
% 0.12/0.58 fof(f2026,plain,(
% 0.12/0.58 ~aSet0(slbdtrb0(sK0_skl(szNzAzT0)))|aElementOf0(sbrdtbr0(slbdtrb0(sK0_skl(szNzAzT0))),szNzAzT0)|~sQ11_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f175,f345])).
% 0.12/0.58 fof(f2027,plain,(
% 0.12/0.58 ~aSet0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0)))),szNzAzT0)|~sQ30_spl),
% 0.12/0.58 inference(resolution,[status(thm)],[f175,f622])).
% 0.12/0.58 fof(f2028,plain,(
% 0.12/0.58 ~aSet0(slcrc0)|aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)),
% 0.12/0.58 inference(resolution,[status(thm)],[f175,f73])).
% 0.12/0.58 fof(f2029,definition,(
% 0.12/0.58 sQ234_spl <=> (aElementOf0(sbrdtbr0(slbdtrb0(xm)),szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2032,plain,(
% 0.12/0.58 ~sQ14_spl|sQ234_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2025,f367,f2029])).
% 0.12/0.58 fof(f2033,definition,(
% 0.12/0.58 sQ235_spl <=> (aElementOf0(sbrdtbr0(slbdtrb0(sK0_skl(szNzAzT0))),szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2036,plain,(
% 0.12/0.58 ~sQ8_spl|sQ235_spl|~sQ11_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2026,f306,f2033,f344])).
% 0.12/0.58 fof(f2037,definition,(
% 0.12/0.58 sQ236_spl <=> (aSet0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0)))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2039,plain,(
% 0.12/0.58 ~aSet0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|sQ236_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f2037])).
% 0.12/0.58 fof(f2040,definition,(
% 0.12/0.58 sQ237_spl <=> (aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0)))),szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2043,plain,(
% 0.12/0.58 ~sQ236_spl|sQ237_spl|~sQ30_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2027,f2037,f2040,f478])).
% 0.12/0.58 fof(f2044,definition,(
% 0.12/0.58 sQ238_spl <=> (aElementOf0(sbrdtbr0(slcrc0),szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2047,plain,(
% 0.12/0.58 ~sQ4_spl|sQ238_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2028,f292,f2044])).
% 0.12/0.58 fof(f2049,plain,(
% 0.12/0.58 $false|~sQ30_spl|sQ236_spl),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2039,f621])).
% 0.12/0.58 fof(f2050,plain,(
% 0.12/0.58 ~sQ30_spl|sQ236_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f2049])).
% 0.12/0.58 fof(f2053,definition,(
% 0.12/0.58 sQ239_spl <=> (sdtlseqdt0(xm,xm))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2054,plain,(
% 0.12/0.58 sdtlseqdt0(xm,xm)|~sQ239_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f2053])).
% 0.12/0.58 fof(f2066,plain,(
% 0.12/0.58 ~aSet0(slbdtrb0(xn))|aElementOf0(sbrdtbr0(slbdtrb0(xn)),szNzAzT0)),
% 0.12/0.58 inference(resolution,[status(thm)],[f341,f175])).
% 0.12/0.58 fof(f2067,definition,(
% 0.12/0.58 sQ241_spl <=> (aElementOf0(sbrdtbr0(slbdtrb0(xn)),szNzAzT0))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2070,plain,(
% 0.12/0.58 ~sQ12_spl|sQ241_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2066,f357,f2067])).
% 0.12/0.58 fof(f2132,plain,(
% 0.12/0.58 $false|sQ205_spl),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1838,f1182])).
% 0.12/0.58 fof(f2133,plain,(
% 0.12/0.58 sQ205_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f2132])).
% 0.12/0.58 fof(f2139,plain,(
% 0.12/0.58 ~sbrdtbr0(szNzAzT0)=sz00|szNzAzT0=slcrc0),
% 0.12/0.58 inference(resolution,[status(thm)],[f178,f132])).
% 0.12/0.58 fof(f2152,definition,(
% 0.12/0.58 sQ253_spl <=> (sbrdtbr0(slcrc0)=sz00)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2154,plain,(
% 0.12/0.58 ~sbrdtbr0(slcrc0)=sz00|sQ253_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f2152])).
% 0.12/0.58 fof(f2156,definition,(
% 0.12/0.58 sQ254_spl <=> (sbrdtbr0(szNzAzT0)=sz00)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2159,plain,(
% 0.12/0.58 ~sQ254_spl|sQ5_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2139,f2156,f296])).
% 0.12/0.58 fof(f2160,plain,(
% 0.12/0.58 ~sz00=sz00|sQ253_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f1356,f2154])).
% 0.12/0.58 fof(f2161,plain,(
% 0.12/0.58 $false|sQ253_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f2160])).
% 0.12/0.58 fof(f2162,plain,(
% 0.12/0.58 sQ253_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f2161])).
% 0.12/0.58 fof(f2164,plain,(
% 0.12/0.58 ![X0]: (~aSet0(slbdtrb0(xm))|~aElement0(X0)|aElementOf0(X0,slbdtrb0(xm))|sbrdtbr0(sdtpldt0(slbdtrb0(xm),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(xm))))),
% 0.12/0.58 inference(resolution,[status(thm)],[f181,f343])).
% 0.12/0.58 fof(f2165,plain,(
% 0.12/0.58 ![X0]: (~aSet0(slbdtrb0(sK0_skl(szNzAzT0)))|~aElement0(X0)|aElementOf0(X0,slbdtrb0(sK0_skl(szNzAzT0)))|sbrdtbr0(sdtpldt0(slbdtrb0(sK0_skl(szNzAzT0)),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(sK0_skl(szNzAzT0))))|~sQ11_spl)),
% 0.12/0.58 inference(resolution,[status(thm)],[f181,f345])).
% 0.12/0.58 fof(f2166,plain,(
% 0.12/0.58 ![X0]: (~aSet0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|~aElement0(X0)|aElementOf0(X0,slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|sbrdtbr0(sdtpldt0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0)))))|~sQ30_spl)),
% 0.12/0.58 inference(resolution,[status(thm)],[f181,f622])).
% 0.12/0.58 fof(f2167,plain,(
% 0.12/0.58 ![X0]: (~aSet0(slcrc0)|~aElement0(X0)|aElementOf0(X0,slcrc0)|sbrdtbr0(sdtpldt0(slcrc0,X0))=szszuzczcdt0(sbrdtbr0(slcrc0)))),
% 0.12/0.58 inference(resolution,[status(thm)],[f181,f73])).
% 0.12/0.58 fof(f2168,definition,(
% 0.12/0.58 ![X0]: (sQ255_spl <=> (~aElement0(X0)|aElementOf0(X0,slbdtrb0(xm))|sbrdtbr0(sdtpldt0(slbdtrb0(xm),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(xm)))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2171,plain,(
% 0.12/0.58 ~sQ14_spl|sQ255_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2164,f367,f2168])).
% 0.12/0.58 fof(f2172,definition,(
% 0.12/0.58 ![X0]: (sQ256_spl <=> (~aElement0(X0)|aElementOf0(X0,slbdtrb0(sK0_skl(szNzAzT0)))|sbrdtbr0(sdtpldt0(slbdtrb0(sK0_skl(szNzAzT0)),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(sK0_skl(szNzAzT0))))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2175,plain,(
% 0.12/0.58 ~sQ8_spl|sQ256_spl|~sQ11_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2165,f306,f2172,f344])).
% 0.12/0.58 fof(f2176,definition,(
% 0.12/0.58 ![X0]: (sQ257_spl <=> (~aElement0(X0)|aElementOf0(X0,slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|sbrdtbr0(sdtpldt0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0)))))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2179,plain,(
% 0.12/0.58 ~sQ236_spl|sQ257_spl|~sQ30_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2166,f2037,f2176,f478])).
% 0.12/0.58 fof(f2180,definition,(
% 0.12/0.58 ![X0]: (sQ258_spl <=> (~aElement0(X0)|aElementOf0(X0,slcrc0)|sbrdtbr0(sdtpldt0(slcrc0,X0))=szszuzczcdt0(sbrdtbr0(slcrc0))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2183,plain,(
% 0.12/0.58 ~sQ4_spl|sQ258_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2167,f292,f2180])).
% 0.12/0.58 fof(f2187,plain,(
% 0.12/0.58 ![X0]: (~aSet0(slbdtrb0(xm))|~aElementOf0(X0,slbdtrb0(xm))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(xm),X0)))=sbrdtbr0(slbdtrb0(xm)))),
% 0.12/0.58 inference(resolution,[status(thm)],[f183,f343])).
% 0.12/0.58 fof(f2188,plain,(
% 0.12/0.58 ![X0]: (~aSet0(slbdtrb0(sK0_skl(szNzAzT0)))|~aElementOf0(X0,slbdtrb0(sK0_skl(szNzAzT0)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(sK0_skl(szNzAzT0)),X0)))=sbrdtbr0(slbdtrb0(sK0_skl(szNzAzT0)))|~sQ11_spl)),
% 0.12/0.58 inference(resolution,[status(thm)],[f183,f345])).
% 0.12/0.58 fof(f2189,plain,(
% 0.12/0.58 ![X0]: (~aSet0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|~aElementOf0(X0,slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))),X0)))=sbrdtbr0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|~sQ30_spl)),
% 0.12/0.58 inference(resolution,[status(thm)],[f183,f622])).
% 0.12/0.58 fof(f2190,plain,(
% 0.12/0.58 ![X0]: (~aSet0(slcrc0)|~aElementOf0(X0,slcrc0)|szszuzczcdt0(sbrdtbr0(sdtmndt0(slcrc0,X0)))=sbrdtbr0(slcrc0))),
% 0.12/0.58 inference(resolution,[status(thm)],[f183,f73])).
% 0.12/0.58 fof(f2191,definition,(
% 0.12/0.58 ![X0]: (sQ259_spl <=> (~aElementOf0(X0,slbdtrb0(xm))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(xm),X0)))=sbrdtbr0(slbdtrb0(xm))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f2194,plain,(
% 0.12/0.58 ~sQ14_spl|sQ259_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f2187,f367,f2191])).
% 0.12/0.58 fof(f2195,definition,(
% 0.12/0.58 ![X0]: (sQ260_spl <=> (~aElementOf0(X0,slbdtrb0(sK0_skl(szNzAzT0)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(sK0_skl(szNzAzT0)),X0)))=sbrdtbr0(slbdtrb0(sK0_skl(szNzAzT0)))))),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2198,plain,(
% 1.20/0.58 ~sQ8_spl|sQ260_spl|~sQ11_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2188,f306,f2195,f344])).
% 1.20/0.58 fof(f2199,definition,(
% 1.20/0.58 ![X0]: (sQ261_spl <=> (~aElementOf0(X0,slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))),X0)))=sbrdtbr0(slbdtrb0(szszuzczcdt0(sK0_skl(szNzAzT0))))))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2202,plain,(
% 1.20/0.58 ~sQ236_spl|sQ261_spl|~sQ30_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2189,f2037,f2199,f478])).
% 1.20/0.58 fof(f2203,definition,(
% 1.20/0.58 ![X0]: (sQ262_spl <=> (~aElementOf0(X0,slcrc0)|szszuzczcdt0(sbrdtbr0(sdtmndt0(slcrc0,X0)))=sbrdtbr0(slcrc0)))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2206,plain,(
% 1.20/0.58 ~sQ4_spl|sQ262_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2190,f292,f2203])).
% 1.20/0.58 fof(f2220,plain,(
% 1.20/0.58 ~sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(sK0_skl(szNzAzT0)))|~sdtlseqdt0(szszuzczcdt0(sK0_skl(szNzAzT0)),xn)|~sQ197_spl|~sQ30_spl),
% 1.20/0.58 inference(resolution,[status(thm)],[f1735,f479])).
% 1.20/0.58 fof(f2236,definition,(
% 1.20/0.58 sQ267_spl <=> (sdtlseqdt0(szszuzczcdt0(xm),sz00))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2238,plain,(
% 1.20/0.58 ~sdtlseqdt0(szszuzczcdt0(xm),sz00)|sQ267_spl),
% 1.20/0.58 inference(component_clause,[status(thm)],[f2236])).
% 1.20/0.58 fof(f2239,definition,(
% 1.20/0.58 sQ268_spl <=> (sdtlseqdt0(sz00,xn))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2241,plain,(
% 1.20/0.58 ~sdtlseqdt0(sz00,xn)|sQ268_spl),
% 1.20/0.58 inference(component_clause,[status(thm)],[f2239])).
% 1.20/0.58 fof(f2243,definition,(
% 1.20/0.58 sQ269_spl <=> (sdtlseqdt0(xn,xn))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2245,plain,(
% 1.20/0.58 ~sdtlseqdt0(xn,xn)|sQ269_spl),
% 1.20/0.58 inference(component_clause,[status(thm)],[f2243])).
% 1.20/0.58 fof(f2247,definition,(
% 1.20/0.58 sQ270_spl <=> (sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(sK0_skl(szNzAzT0))))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2250,definition,(
% 1.20/0.58 sQ271_spl <=> (sdtlseqdt0(szszuzczcdt0(sK0_skl(szNzAzT0)),xn))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2253,plain,(
% 1.20/0.58 ~sQ270_spl|~sQ271_spl|~sQ197_spl|~sQ30_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2220,f2247,f2250,f1734,f478])).
% 1.20/0.58 fof(f2255,plain,(
% 1.20/0.58 $false|sQ268_spl),
% 1.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2241,f1183])).
% 1.20/0.58 fof(f2256,plain,(
% 1.20/0.58 sQ268_spl),
% 1.20/0.58 inference(contradiction_clause,[status(thm)],[f2255])).
% 1.20/0.58 fof(f2420,plain,(
% 1.20/0.58 ~aElementOf0(xn,szNzAzT0)|sQ269_spl),
% 1.20/0.58 inference(resolution,[status(thm)],[f2245,f159])).
% 1.20/0.58 fof(f2425,plain,(
% 1.20/0.58 ~sQ19_spl|sQ269_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2420,f394,f2243])).
% 1.20/0.58 fof(f2435,plain,(
% 1.20/0.58 $false|sQ20_spl),
% 1.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f399,f222])).
% 1.20/0.58 fof(f2436,plain,(
% 1.20/0.58 sQ20_spl),
% 1.20/0.58 inference(contradiction_clause,[status(thm)],[f2435])).
% 1.20/0.58 fof(f2445,plain,(
% 1.20/0.58 ~aElementOf0(sz00,szNzAzT0)|~aElementOf0(xm,szNzAzT0)|sdtlseqdt0(sz00,xm)|sQ267_spl),
% 1.20/0.58 inference(resolution,[status(thm)],[f2238,f165])).
% 1.20/0.58 fof(f2446,plain,(
% 1.20/0.58 ![X0]: (~aElementOf0(szszuzczcdt0(xm),szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~sdtlseqdt0(X0,sz00)|sQ267_spl)),
% 1.20/0.58 inference(resolution,[status(thm)],[f2238,f163])).
% 1.20/0.58 fof(f2447,definition,(
% 1.20/0.58 sQ297_spl <=> (sdtlseqdt0(sz00,xm))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2450,plain,(
% 1.20/0.58 ~sQ21_spl|~sQ20_spl|sQ297_spl|sQ267_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2445,f401,f397,f2447,f2236])).
% 1.20/0.58 fof(f2451,definition,(
% 1.20/0.58 ![X0]: (sQ298_spl <=> (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~sdtlseqdt0(X0,sz00)))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2454,plain,(
% 1.20/0.58 ~sQ196_spl|sQ298_spl|~sQ21_spl|sQ267_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2446,f1731,f2451,f401,f2236])).
% 1.20/0.58 fof(f2459,plain,(
% 1.20/0.58 ![X0]: (~aSet0(slbdtrb0(xn))|~aElementOf0(X0,slbdtrb0(xn))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(xn),X0)))=sbrdtbr0(slbdtrb0(xn)))),
% 1.20/0.58 inference(resolution,[status(thm)],[f1993,f183])).
% 1.20/0.58 fof(f2460,plain,(
% 1.20/0.58 ![X0]: (~aSet0(slbdtrb0(xn))|~aElement0(X0)|aElementOf0(X0,slbdtrb0(xn))|sbrdtbr0(sdtpldt0(slbdtrb0(xn),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(xn))))),
% 1.20/0.58 inference(resolution,[status(thm)],[f1993,f181])).
% 1.20/0.58 fof(f2462,definition,(
% 1.20/0.58 ![X0]: (sQ299_spl <=> (~aElementOf0(X0,slbdtrb0(xn))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(xn),X0)))=sbrdtbr0(slbdtrb0(xn))))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2465,plain,(
% 1.20/0.58 ~sQ12_spl|sQ299_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2459,f357,f2462])).
% 1.20/0.58 fof(f2466,definition,(
% 1.20/0.58 ![X0]: (sQ300_spl <=> (~aElement0(X0)|aElementOf0(X0,slbdtrb0(xn))|sbrdtbr0(sdtpldt0(slbdtrb0(xn),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(xn)))))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2469,plain,(
% 1.20/0.58 ~sQ12_spl|sQ300_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2460,f357,f2466])).
% 1.20/0.58 fof(f2519,plain,(
% 1.20/0.58 szNzAzT0=slcrc0|aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)|~aSet0(szNzAzT0)),
% 1.20/0.58 inference(resolution,[status(thm)],[f260,f91])).
% 1.20/0.58 fof(f2524,definition,(
% 1.20/0.58 sQ302_spl <=> (aElementOf0(szmzizndt0(slcrc0),slcrc0))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2525,plain,(
% 1.20/0.58 aElementOf0(szmzizndt0(slcrc0),slcrc0)|~sQ302_spl),
% 1.20/0.58 inference(component_clause,[status(thm)],[f2524])).
% 1.20/0.58 fof(f2528,definition,(
% 1.20/0.58 sQ303_spl <=> (aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2531,plain,(
% 1.20/0.58 sQ5_spl|sQ303_spl|~sQ6_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2519,f296,f2528,f299])).
% 1.20/0.58 fof(f2532,plain,(
% 1.20/0.58 $false|~sQ302_spl),
% 1.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2525,f248])).
% 1.20/0.58 fof(f2533,plain,(
% 1.20/0.58 ~sQ302_spl),
% 1.20/0.58 inference(contradiction_clause,[status(thm)],[f2532])).
% 1.20/0.58 fof(f2536,plain,(
% 1.20/0.58 ![X0]: (szNzAzT0=slcrc0|X0=szmzizndt0(szNzAzT0)|~aElementOf0(X0,szNzAzT0)|aElementOf0(sK6_skl(X0,szNzAzT0),szNzAzT0)|~aSet0(szNzAzT0))),
% 1.20/0.58 inference(resolution,[status(thm)],[f196,f91])).
% 1.20/0.58 fof(f2545,definition,(
% 1.20/0.58 ![X0]: (sQ306_spl <=> (X0=szmzizndt0(szNzAzT0)|~aElementOf0(X0,szNzAzT0)|aElementOf0(sK6_skl(X0,szNzAzT0),szNzAzT0)))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2548,plain,(
% 1.20/0.58 sQ5_spl|sQ306_spl|~sQ6_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2536,f296,f2545,f299])).
% 1.20/0.58 fof(f2558,plain,(
% 1.20/0.58 ![X0]: (~aElementOf0(szszuzczcdt0(xm),szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(szszuzczcdt0(xn),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~sdtlseqdt0(X0,szszuzczcdt0(xn))|sQ29_spl)),
% 1.20/0.58 inference(resolution,[status(thm)],[f464,f163])).
% 1.20/0.58 fof(f2561,definition,(
% 1.20/0.58 ![X0]: (sQ308_spl <=> (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~sdtlseqdt0(X0,szszuzczcdt0(xn))))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2562,plain,(
% 1.20/0.58 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xm),X0)|~sdtlseqdt0(X0,szszuzczcdt0(xn))|~sQ308_spl)),
% 1.20/0.58 inference(component_clause,[status(thm)],[f2561])).
% 1.20/0.58 fof(f2564,plain,(
% 1.20/0.58 ~sQ196_spl|sQ308_spl|~sQ28_spl|sQ29_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2558,f1731,f2561,f459,f462])).
% 1.20/0.58 fof(f2585,plain,(
% 1.20/0.58 ![X0]: (~aSet0(slcrc0)|~isFinite0(slcrc0)|~aSubsetOf0(X0,slcrc0)|sdtlseqdt0(sbrdtbr0(X0),sz00))),
% 1.20/0.58 inference(paramodulation,[status(thm)],[f1356,f185])).
% 1.20/0.58 fof(f2588,definition,(
% 1.20/0.58 ![X0]: (sQ310_spl <=> (~aSubsetOf0(X0,slcrc0)|sdtlseqdt0(sbrdtbr0(X0),sz00)))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2591,plain,(
% 1.20/0.58 ~sQ4_spl|~sQ33_spl|sQ310_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2585,f292,f515,f2588])).
% 1.20/0.58 fof(f2603,plain,(
% 1.20/0.58 ![X0]: (szNzAzT0=slcrc0|X0=szmzizndt0(szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,sK6_skl(X0,szNzAzT0))|~aSet0(szNzAzT0))),
% 1.20/0.58 inference(resolution,[status(thm)],[f197,f91])).
% 1.20/0.58 fof(f2612,definition,(
% 1.20/0.58 ![X0]: (sQ314_spl <=> (X0=szmzizndt0(szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,sK6_skl(X0,szNzAzT0))))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2615,plain,(
% 1.20/0.58 sQ5_spl|sQ314_spl|~sQ6_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2603,f296,f2612,f299])).
% 1.20/0.58 fof(f2617,plain,(
% 1.20/0.58 ~isFinite0(slcrc0)|slcrc0=slcrc0|aElementOf0(szmzazxdt0(slcrc0),slcrc0)|~aSet0(szNzAzT0)),
% 1.20/0.58 inference(resolution,[status(thm)],[f262,f455])).
% 1.20/0.58 fof(f2623,definition,(
% 1.20/0.58 sQ316_spl <=> (aElementOf0(szmzazxdt0(slcrc0),slcrc0))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2624,plain,(
% 1.20/0.58 aElementOf0(szmzazxdt0(slcrc0),slcrc0)|~sQ316_spl),
% 1.20/0.58 inference(component_clause,[status(thm)],[f2623])).
% 1.20/0.58 fof(f2626,plain,(
% 1.20/0.58 ~sQ33_spl|sQ3_spl|sQ316_spl|~sQ6_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2617,f515,f289,f2623,f299])).
% 1.20/0.58 fof(f2631,plain,(
% 1.20/0.58 $false|~sQ316_spl),
% 1.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2624,f248])).
% 1.20/0.58 fof(f2632,plain,(
% 1.20/0.58 ~sQ316_spl),
% 1.20/0.58 inference(contradiction_clause,[status(thm)],[f2631])).
% 1.20/0.58 fof(f2644,plain,(
% 1.20/0.58 ~sdtlseqdt0(szszuzczcdt0(xm),sz00)|~sdtlseqdt0(sz00,szszuzczcdt0(xn))|~sQ308_spl),
% 1.20/0.58 inference(resolution,[status(thm)],[f2562,f134])).
% 1.20/0.58 fof(f2645,plain,(
% 1.20/0.58 ~sdtlseqdt0(szszuzczcdt0(xm),xn)|~sdtlseqdt0(xn,szszuzczcdt0(xn))|~sQ308_spl),
% 1.20/0.58 inference(resolution,[status(thm)],[f2562,f223])).
% 1.20/0.58 fof(f2647,plain,(
% 1.20/0.58 ~sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(sK0_skl(szNzAzT0)))|~sdtlseqdt0(szszuzczcdt0(sK0_skl(szNzAzT0)),szszuzczcdt0(xn))|~sQ308_spl|~sQ30_spl),
% 1.20/0.58 inference(resolution,[status(thm)],[f2562,f479])).
% 1.20/0.58 fof(f2649,definition,(
% 1.20/0.58 sQ320_spl <=> (sdtlseqdt0(sz00,szszuzczcdt0(xn)))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2651,plain,(
% 1.20/0.58 ~sdtlseqdt0(sz00,szszuzczcdt0(xn))|sQ320_spl),
% 1.20/0.58 inference(component_clause,[status(thm)],[f2649])).
% 1.20/0.58 fof(f2652,plain,(
% 1.20/0.58 ~sQ267_spl|~sQ320_spl|~sQ308_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2644,f2236,f2649,f2561])).
% 1.20/0.58 fof(f2653,definition,(
% 1.20/0.58 sQ321_spl <=> (sdtlseqdt0(xn,szszuzczcdt0(xn)))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2655,plain,(
% 1.20/0.58 ~sdtlseqdt0(xn,szszuzczcdt0(xn))|sQ321_spl),
% 1.20/0.58 inference(component_clause,[status(thm)],[f2653])).
% 1.20/0.58 fof(f2656,plain,(
% 1.20/0.58 ~sQ25_spl|~sQ321_spl|~sQ308_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2645,f431,f2653,f2561])).
% 1.20/0.58 fof(f2664,definition,(
% 1.20/0.58 sQ324_spl <=> (sdtlseqdt0(szszuzczcdt0(sK0_skl(szNzAzT0)),szszuzczcdt0(xn)))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2667,plain,(
% 1.20/0.58 ~sQ270_spl|~sQ324_spl|~sQ308_spl|~sQ30_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2647,f2247,f2664,f2561,f478])).
% 1.20/0.58 fof(f2672,plain,(
% 1.20/0.58 $false|sQ320_spl),
% 1.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2651,f1179])).
% 1.20/0.58 fof(f2673,plain,(
% 1.20/0.58 sQ320_spl),
% 1.20/0.58 inference(contradiction_clause,[status(thm)],[f2672])).
% 1.20/0.58 fof(f2675,plain,(
% 1.20/0.58 ![X0]: (~aSet0(slbdtrb0(szszuzczcdt0(sz00)))|~aElementOf0(X0,slbdtrb0(szszuzczcdt0(sz00)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(sz00)),X0)))=sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00))))),
% 1.20/0.58 inference(resolution,[status(thm)],[f485,f183])).
% 1.20/0.58 fof(f2676,plain,(
% 1.20/0.58 ![X0]: (~aSet0(slbdtrb0(szszuzczcdt0(sz00)))|~aElement0(X0)|aElementOf0(X0,slbdtrb0(szszuzczcdt0(sz00)))|sbrdtbr0(sdtpldt0(slbdtrb0(szszuzczcdt0(sz00)),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00)))))),
% 1.20/0.58 inference(resolution,[status(thm)],[f485,f181])).
% 1.20/0.58 fof(f2677,plain,(
% 1.20/0.58 ~aSet0(slbdtrb0(szszuzczcdt0(sz00)))|aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00))),szNzAzT0)),
% 1.20/0.58 inference(resolution,[status(thm)],[f485,f175])).
% 1.20/0.58 fof(f2678,definition,(
% 1.20/0.58 sQ326_spl <=> (aSet0(slbdtrb0(szszuzczcdt0(sz00))))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2680,plain,(
% 1.20/0.58 ~aSet0(slbdtrb0(szszuzczcdt0(sz00)))|sQ326_spl),
% 1.20/0.58 inference(component_clause,[status(thm)],[f2678])).
% 1.20/0.58 fof(f2681,definition,(
% 1.20/0.58 ![X0]: (sQ327_spl <=> (~aElementOf0(X0,slbdtrb0(szszuzczcdt0(sz00)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(slbdtrb0(szszuzczcdt0(sz00)),X0)))=sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00)))))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2684,plain,(
% 1.20/0.58 ~sQ326_spl|sQ327_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2675,f2678,f2681])).
% 1.20/0.58 fof(f2685,definition,(
% 1.20/0.58 ![X0]: (sQ328_spl <=> (~aElement0(X0)|aElementOf0(X0,slbdtrb0(szszuzczcdt0(sz00)))|sbrdtbr0(sdtpldt0(slbdtrb0(szszuzczcdt0(sz00)),X0))=szszuzczcdt0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00))))))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2688,plain,(
% 1.20/0.58 ~sQ326_spl|sQ328_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2676,f2678,f2685])).
% 1.20/0.58 fof(f2689,definition,(
% 1.20/0.58 sQ329_spl <=> (aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sz00))),szNzAzT0))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2692,plain,(
% 1.20/0.58 ~sQ326_spl|sQ329_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2677,f2678,f2689])).
% 1.20/0.58 fof(f2693,plain,(
% 1.20/0.58 $false|sQ326_spl),
% 1.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2680,f484])).
% 1.20/0.58 fof(f2694,plain,(
% 1.20/0.58 sQ326_spl),
% 1.20/0.58 inference(contradiction_clause,[status(thm)],[f2693])).
% 1.20/0.58 fof(f2696,plain,(
% 1.20/0.58 ~sdtlseqdt0(xn,xn)|~sdtlseqdt0(xn,xn)|xn=xn),
% 1.20/0.58 inference(resolution,[status(thm)],[f1724,f223])).
% 1.20/0.58 fof(f2699,plain,(
% 1.20/0.58 ~sdtlseqdt0(xm,xn)|~sdtlseqdt0(xn,xm)|xm=xn),
% 1.20/0.58 inference(resolution,[status(thm)],[f1724,f222])).
% 1.20/0.58 fof(f2701,plain,(
% 1.20/0.58 ~sQ269_spl|sQ45_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2696,f2243,f599])).
% 1.20/0.58 fof(f2713,plain,(
% 1.20/0.58 ~sQ35_spl|~sQ137_spl|sQ2_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2699,f554,f1116,f241])).
% 1.20/0.58 fof(f2823,plain,(
% 1.20/0.58 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|szNzAzT0=slcrc0|~aElementOf0(szmzizndt0(X0),szNzAzT0)|~aElementOf0(szmzizndt0(szNzAzT0),X0)|szmzizndt0(X0)=szmzizndt0(szNzAzT0)|~aSet0(szNzAzT0))),
% 1.20/0.58 inference(resolution,[status(thm)],[f207,f91])).
% 1.20/0.58 fof(f2832,definition,(
% 1.20/0.58 ![X0]: (sQ351_spl <=> (~aSubsetOf0(X0,szNzAzT0)|X0=slcrc0|~aElementOf0(szmzizndt0(X0),szNzAzT0)|~aElementOf0(szmzizndt0(szNzAzT0),X0)|szmzizndt0(X0)=szmzizndt0(szNzAzT0)))),
% 1.20/0.58 introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition])).
% 1.20/0.58 fof(f2835,plain,(
% 1.20/0.58 sQ351_spl|sQ5_spl|~sQ6_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2823,f2832,f296,f299])).
% 1.20/0.58 fof(f2836,plain,(
% 1.20/0.58 ~aElementOf0(xn,szNzAzT0)|sQ321_spl),
% 1.20/0.58 inference(resolution,[status(thm)],[f2655,f157])).
% 1.20/0.58 fof(f2838,plain,(
% 1.20/0.58 ~sQ19_spl|sQ321_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f2836,f394,f2653])).
% 1.20/0.58 fof(f2864,plain,(
% 1.20/0.58 ~sdtlseqdt0(xm,xm)|~sQ2_spl|sQ35_spl),
% 1.20/0.58 inference(backward_demodulation,[status(thm)],[f242,f556])).
% 1.20/0.58 fof(f2872,plain,(
% 1.20/0.58 $false|~sQ239_spl|~sQ2_spl|sQ35_spl),
% 1.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2864,f2054])).
% 1.20/0.58 fof(f2873,plain,(
% 1.20/0.58 ~sQ239_spl|~sQ2_spl|sQ35_spl),
% 1.20/0.58 inference(contradiction_clause,[status(thm)],[f2872])).
% 1.20/0.58 fof(f2876,plain,(
% 1.20/0.58 sQ239_spl|~sQ2_spl|~sQ137_spl),
% 1.20/0.58 inference(split_clause,[status(thm)],[f1795,f2053,f241,f1116])).
% 1.20/0.58 fof(f2877,plain,(
% 1.20/0.58 $false),
% 1.20/0.58 inference(sat_refutation,[status(thm)],[f244,f245,f246,f305,f309,f313,f315,f320,f322,f334,f347,f363,f365,f373,f375,f382,f407,f409,f411,f434,f438,f449,f465,f477,f481,f518,f530,f557,f574,f581,f615,f658,f695,f724,f726,f736,f749,f765,f786,f793,f800,f814,f825,f883,f913,f916,f1025,f1119,f1127,f1141,f1212,f1228,f1361,f1575,f1577,f1593,f1608,f1616,f1620,f1638,f1646,f1650,f1718,f1737,f1745,f1751,f1771,f1775,f1810,f1839,f1897,f1954,f2032,f2036,f2043,f2047,f2050,f2070,f2133,f2159,f2162,f2171,f2175,f2179,f2183,f2194,f2198,f2202,f2206,f2253,f2256,f2425,f2436,f2450,f2454,f2465,f2469,f2531,f2533,f2548,f2564,f2591,f2615,f2626,f2632,f2652,f2656,f2667,f2673,f2684,f2688,f2692,f2694,f2701,f2713,f2835,f2838,f2873,f2876])).
% 1.20/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.20/0.59 % Elapsed time: 0.217072 seconds
% 1.20/0.59 % CPU time: 1.408592 seconds
% 1.20/0.59 % Total memory used: 131.886 MB
% 1.20/0.59 % Net memory used: 130.146 MB
%------------------------------------------------------------------------------