TSTP Solution File: NUM534+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:35:02 EDT 2024
% Result : Theorem 2.79s 0.73s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:13:47 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 2.79/0.73 % Refutation found
% 2.79/0.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.79/0.73 % SZS output start CNFRefutation for theBenchmark
% 2.79/0.73 fof(f3,axiom,(
% 2.79/0.73 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f5,definition,(
% 2.79/0.73 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f6,axiom,(
% 2.79/0.73 isFinite0(slcrc0) ),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f10,definition,(
% 2.79/0.73 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f11,axiom,(
% 2.79/0.73 (! [W0] :( ( aSet0(W0)& isFinite0(W0) )=> (! [W1] :( aSubsetOf0(W1,W0)=> isFinite0(W1) ) )) )),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f13,axiom,(
% 2.79/0.73 (! [W0,W1] :( ( aSet0(W0)& aSet0(W1) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W0) )=> W0 = W1 ) ) )),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f14,axiom,(
% 2.79/0.73 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f15,definition,(
% 2.79/0.73 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtpldt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& ( aElementOf0(W3,W0)| W3 = W1 ) ) ) )) ) )) )),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f16,definition,(
% 2.79/0.73 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtmndt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& aElementOf0(W3,W0)& W3 != W1 ) ) )) ) )) )),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f17,hypothesis,(
% 2.79/0.73 aSet0(xS) ),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f18,hypothesis,(
% 2.79/0.73 aElementOf0(xx,xS) ),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f19,conjecture,(
% 2.79/0.73 ( ( aSet0(sdtmndt0(xS,xx))& (! [W0] :( aElementOf0(W0,sdtmndt0(xS,xx))<=> ( aElement0(W0)& aElementOf0(W0,xS)& W0 != xx ) ) ))=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))& (! [W0] :( aElementOf0(W0,sdtpldt0(sdtmndt0(xS,xx),xx))<=> ( aElement0(W0)& ( aElementOf0(W0,sdtmndt0(xS,xx))| W0 = xx ) ) ) ))=> sdtpldt0(sdtmndt0(xS,xx),xx) = xS ) ) ),
% 2.79/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.79/0.73 fof(f20,negated_conjecture,(
% 2.79/0.73 ~(( ( aSet0(sdtmndt0(xS,xx))& (! [W0] :( aElementOf0(W0,sdtmndt0(xS,xx))<=> ( aElement0(W0)& aElementOf0(W0,xS)& W0 != xx ) ) ))=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))& (! [W0] :( aElementOf0(W0,sdtpldt0(sdtmndt0(xS,xx),xx))<=> ( aElement0(W0)& ( aElementOf0(W0,sdtmndt0(xS,xx))| W0 = xx ) ) ) ))=> sdtpldt0(sdtmndt0(xS,xx),xx) = xS ) ) )),
% 2.79/0.73 inference(negated_conjecture,[status(cth)],[f19])).
% 2.79/0.73 fof(f27,plain,(
% 2.79/0.73 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 2.79/0.73 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.79/0.73 fof(f28,plain,(
% 2.79/0.73 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 2.79/0.73 inference(cnf_transformation,[status(esa)],[f27])).
% 2.79/0.73 fof(f31,plain,(
% 2.79/0.73 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 2.79/0.73 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.79/0.73 fof(f32,plain,(
% 2.79/0.73 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 2.79/0.73 inference(NNF_transformation,[status(esa)],[f31])).
% 2.79/0.73 fof(f33,plain,(
% 2.79/0.73 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 2.79/0.73 inference(miniscoping,[status(esa)],[f32])).
% 2.79/0.73 fof(f34,plain,(
% 2.79/0.73 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 2.79/0.73 inference(skolemization,[status(esa)],[f33])).
% 2.79/0.73 fof(f35,plain,(
% 2.79/0.73 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 2.79/0.73 inference(cnf_transformation,[status(esa)],[f34])).
% 2.79/0.73 fof(f36,plain,(
% 2.79/0.73 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 2.79/0.73 inference(cnf_transformation,[status(esa)],[f34])).
% 2.79/0.74 fof(f37,plain,(
% 2.79/0.74 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sk0_0(X0),X0))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f34])).
% 2.79/0.74 fof(f38,plain,(
% 2.79/0.74 isFinite0(slcrc0)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f6])).
% 2.79/0.74 fof(f45,plain,(
% 2.79/0.74 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 2.79/0.74 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 2.79/0.74 fof(f46,plain,(
% 2.79/0.74 ![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))))))))),
% 2.79/0.74 inference(NNF_transformation,[status(esa)],[f45])).
% 2.79/0.74 fof(f47,plain,(
% 2.79/0.74 ![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))))))))),
% 2.79/0.74 inference(miniscoping,[status(esa)],[f46])).
% 2.79/0.74 fof(f48,plain,(
% 2.79/0.74 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_1(W1,W0),W1)&~aElementOf0(sk0_1(W1,W0),W0)))))))),
% 2.79/0.74 inference(skolemization,[status(esa)],[f47])).
% 2.79/0.74 fof(f49,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f48])).
% 2.79/0.74 fof(f50,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f48])).
% 2.79/0.74 fof(f51,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|aElementOf0(sk0_1(X1,X0),X1))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f48])).
% 2.79/0.74 fof(f52,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|~aElementOf0(sk0_1(X1,X0),X0))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f48])).
% 2.79/0.74 fof(f53,plain,(
% 2.79/0.74 ![W0]: ((~aSet0(W0)|~isFinite0(W0))|(![W1]: (~aSubsetOf0(W1,W0)|isFinite0(W1))))),
% 2.79/0.74 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 2.79/0.74 fof(f54,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aSubsetOf0(X1,X0)|isFinite0(X1))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f53])).
% 2.79/0.74 fof(f57,plain,(
% 2.79/0.74 ![W0,W1]: ((~aSet0(W0)|~aSet0(W1))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W0))|W0=W1))),
% 2.79/0.74 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 2.79/0.74 fof(f58,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X0)|X0=X1)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f57])).
% 2.79/0.74 fof(f59,plain,(
% 2.79/0.74 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 2.79/0.74 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 2.79/0.74 fof(f60,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f59])).
% 2.79/0.74 fof(f61,plain,(
% 2.79/0.74 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtpldt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))))))),
% 2.79/0.74 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 2.79/0.74 fof(f62,plain,(
% 2.79/0.74 ![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))))))))))),
% 2.79/0.74 inference(NNF_transformation,[status(esa)],[f61])).
% 2.79/0.74 fof(f63,plain,(
% 2.79/0.74 ![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))))))))))),
% 2.79/0.74 inference(miniscoping,[status(esa)],[f62])).
% 2.79/0.74 fof(f64,plain,(
% 2.79/0.74 ![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(sk0_2(W2,W1,W0),W2)|(~aElement0(sk0_2(W2,W1,W0))|(~aElementOf0(sk0_2(W2,W1,W0),W0)&~sk0_2(W2,W1,W0)=W1)))&(aElementOf0(sk0_2(W2,W1,W0),W2)|(aElement0(sk0_2(W2,W1,W0))&(aElementOf0(sk0_2(W2,W1,W0),W0)|sk0_2(W2,W1,W0)=W1)))))))))),
% 2.79/0.74 inference(skolemization,[status(esa)],[f63])).
% 2.79/0.74 fof(f65,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aSet0(X2))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f64])).
% 2.79/0.74 fof(f66,plain,(
% 2.79/0.74 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|~aElementOf0(X3,X2)|aElement0(X3))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f64])).
% 2.79/0.74 fof(f67,plain,(
% 2.79/0.74 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|~aElementOf0(X3,X2)|aElementOf0(X3,X0)|X3=X1)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f64])).
% 2.79/0.74 fof(f68,plain,(
% 2.79/0.74 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X3,X2)|~aElement0(X3)|~aElementOf0(X3,X0))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f64])).
% 2.79/0.74 fof(f69,plain,(
% 2.79/0.74 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X3,X2)|~aElement0(X3)|~X3=X1)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f64])).
% 2.79/0.74 fof(f74,plain,(
% 2.79/0.74 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1)))))))),
% 2.79/0.74 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 2.79/0.74 fof(f75,plain,(
% 2.79/0.74 ![W0,W1,W3]: (pd0_0(W3,W1,W0)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1))),
% 2.79/0.74 introduced(predicate_definition,[f74])).
% 2.79/0.74 fof(f76,plain,(
% 2.79/0.74 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>pd0_0(W3,W1,W0)))))))),
% 2.79/0.74 inference(formula_renaming,[status(thm)],[f74,f75])).
% 2.79/0.74 fof(f77,plain,(
% 2.79/0.74 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: ((~W2=sdtmndt0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|pd0_0(W3,W1,W0))&(aElementOf0(W3,W2)|~pd0_0(W3,W1,W0))))))&(W2=sdtmndt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|~pd0_0(W3,W1,W0))&(aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))))))))),
% 2.79/0.74 inference(NNF_transformation,[status(esa)],[f76])).
% 2.79/0.74 fof(f78,plain,(
% 2.79/0.74 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtmndt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))&(![W3]: (aElementOf0(W3,W2)|~pd0_0(W3,W1,W0)))))))&(![W2]: (W2=sdtmndt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|~pd0_0(W3,W1,W0))&(aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))))))))),
% 2.79/0.74 inference(miniscoping,[status(esa)],[f77])).
% 2.79/0.74 fof(f79,plain,(
% 2.79/0.74 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtmndt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|pd0_0(W3,W1,W0)))&(![W3]: (aElementOf0(W3,W2)|~pd0_0(W3,W1,W0)))))))&(![W2]: (W2=sdtmndt0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_3(W2,W1,W0),W2)|~pd0_0(sk0_3(W2,W1,W0),W1,W0))&(aElementOf0(sk0_3(W2,W1,W0),W2)|pd0_0(sk0_3(W2,W1,W0),W1,W0))))))))),
% 2.79/0.74 inference(skolemization,[status(esa)],[f78])).
% 2.79/0.74 fof(f80,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|aSet0(X2))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f79])).
% 2.79/0.74 fof(f81,plain,(
% 2.79/0.74 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|~aElementOf0(X3,X2)|pd0_0(X3,X1,X0))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f79])).
% 2.79/0.74 fof(f82,plain,(
% 2.79/0.74 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|aElementOf0(X3,X2)|~pd0_0(X3,X1,X0))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f79])).
% 2.79/0.74 fof(f85,plain,(
% 2.79/0.74 aSet0(xS)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f17])).
% 2.79/0.74 fof(f86,plain,(
% 2.79/0.74 aElementOf0(xx,xS)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f18])).
% 2.79/0.74 fof(f87,plain,(
% 2.79/0.74 ((aSet0(sdtmndt0(xS,xx))&(![W0]: (aElementOf0(W0,sdtmndt0(xS,xx))<=>((aElement0(W0)&aElementOf0(W0,xS))&~W0=xx))))&((aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))&(![W0]: (aElementOf0(W0,sdtpldt0(sdtmndt0(xS,xx),xx))<=>(aElement0(W0)&(aElementOf0(W0,sdtmndt0(xS,xx))|W0=xx)))))&~sdtpldt0(sdtmndt0(xS,xx),xx)=xS))),
% 2.79/0.74 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 2.79/0.74 fof(f88,plain,(
% 2.79/0.74 (aSet0(sdtmndt0(xS,xx))&(![W0]: ((~aElementOf0(W0,sdtmndt0(xS,xx))|((aElement0(W0)&aElementOf0(W0,xS))&~W0=xx))&(aElementOf0(W0,sdtmndt0(xS,xx))|((~aElement0(W0)|~aElementOf0(W0,xS))|W0=xx)))))&((aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))&(![W0]: ((~aElementOf0(W0,sdtpldt0(sdtmndt0(xS,xx),xx))|(aElement0(W0)&(aElementOf0(W0,sdtmndt0(xS,xx))|W0=xx)))&(aElementOf0(W0,sdtpldt0(sdtmndt0(xS,xx),xx))|(~aElement0(W0)|(~aElementOf0(W0,sdtmndt0(xS,xx))&~W0=xx))))))&~sdtpldt0(sdtmndt0(xS,xx),xx)=xS)),
% 2.79/0.74 inference(NNF_transformation,[status(esa)],[f87])).
% 2.79/0.74 fof(f89,plain,(
% 2.79/0.74 (aSet0(sdtmndt0(xS,xx))&((![W0]: (~aElementOf0(W0,sdtmndt0(xS,xx))|((aElement0(W0)&aElementOf0(W0,xS))&~W0=xx)))&(![W0]: (aElementOf0(W0,sdtmndt0(xS,xx))|((~aElement0(W0)|~aElementOf0(W0,xS))|W0=xx)))))&((aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))&((![W0]: (~aElementOf0(W0,sdtpldt0(sdtmndt0(xS,xx),xx))|(aElement0(W0)&(aElementOf0(W0,sdtmndt0(xS,xx))|W0=xx))))&(![W0]: (aElementOf0(W0,sdtpldt0(sdtmndt0(xS,xx),xx))|(~aElement0(W0)|(~aElementOf0(W0,sdtmndt0(xS,xx))&~W0=xx))))))&~sdtpldt0(sdtmndt0(xS,xx),xx)=xS)),
% 2.79/0.74 inference(miniscoping,[status(esa)],[f88])).
% 2.79/0.74 fof(f90,plain,(
% 2.79/0.74 aSet0(sdtmndt0(xS,xx))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f91,plain,(
% 2.79/0.74 ![X0]: (~aElementOf0(X0,sdtmndt0(xS,xx))|aElement0(X0))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f92,plain,(
% 2.79/0.74 ![X0]: (~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,xS))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f93,plain,(
% 2.79/0.74 ![X0]: (~aElementOf0(X0,sdtmndt0(xS,xx))|~X0=xx)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f94,plain,(
% 2.79/0.74 ![X0]: (aElementOf0(X0,sdtmndt0(xS,xx))|~aElement0(X0)|~aElementOf0(X0,xS)|X0=xx)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f95,plain,(
% 2.79/0.74 aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f96,plain,(
% 2.79/0.74 ![X0]: (~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElement0(X0))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f97,plain,(
% 2.79/0.74 ![X0]: (~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X0,sdtmndt0(xS,xx))|X0=xx)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f98,plain,(
% 2.79/0.74 ![X0]: (aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X0)|~aElementOf0(X0,sdtmndt0(xS,xx)))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f99,plain,(
% 2.79/0.74 ![X0]: (aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X0)|~X0=xx)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f100,plain,(
% 2.79/0.74 ~sdtpldt0(sdtmndt0(xS,xx),xx)=xS),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f89])).
% 2.79/0.74 fof(f101,plain,(
% 2.79/0.74 ![W0,W1,W3]: ((~pd0_0(W3,W1,W0)|((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1))&(pd0_0(W3,W1,W0)|((~aElement0(W3)|~aElementOf0(W3,W0))|W3=W1)))),
% 2.79/0.74 inference(NNF_transformation,[status(esa)],[f75])).
% 2.79/0.74 fof(f102,plain,(
% 2.79/0.74 (![W0,W1,W3]: (~pd0_0(W3,W1,W0)|((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1)))&(![W0,W1,W3]: (pd0_0(W3,W1,W0)|((~aElement0(W3)|~aElementOf0(W3,W0))|W3=W1)))),
% 2.79/0.74 inference(miniscoping,[status(esa)],[f101])).
% 2.79/0.74 fof(f103,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|aElement0(X0))),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f102])).
% 2.79/0.74 fof(f105,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~X0=X1)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f102])).
% 2.79/0.74 fof(f106,plain,(
% 2.79/0.74 ![X0,X1,X2]: (pd0_0(X0,X1,X2)|~aElement0(X0)|~aElementOf0(X0,X2)|X0=X1)),
% 2.79/0.74 inference(cnf_transformation,[status(esa)],[f102])).
% 2.79/0.74 fof(f107,plain,(
% 2.79/0.74 aSet0(slcrc0)),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f35])).
% 2.79/0.74 fof(f108,plain,(
% 2.79/0.74 ![X0]: (~aElementOf0(X0,slcrc0))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f36])).
% 2.79/0.74 fof(f110,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aSet0(sdtpldt0(X0,X1)))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f65])).
% 2.79/0.74 fof(f111,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~aElementOf0(X2,sdtpldt0(X0,X1))|aElement0(X2))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f66])).
% 2.79/0.74 fof(f112,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~aElementOf0(X2,sdtpldt0(X0,X1))|aElementOf0(X2,X0)|X2=X1)),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f67])).
% 2.79/0.74 fof(f113,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X2,sdtpldt0(X0,X1))|~aElement0(X2)|~aElementOf0(X2,X0))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f68])).
% 2.79/0.74 fof(f114,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X1,sdtpldt0(X0,X1))|~aElement0(X1))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f69])).
% 2.79/0.74 fof(f115,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X1,sdtpldt0(X0,X1)))),
% 2.79/0.74 inference(duplicate_literals_removal,[status(esa)],[f114])).
% 2.79/0.74 fof(f116,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~aElement0(X1)|aSet0(sdtmndt0(X0,X1)))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f80])).
% 2.79/0.74 fof(f117,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~aElementOf0(X2,sdtmndt0(X0,X1))|pd0_0(X2,X1,X0))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f81])).
% 2.79/0.74 fof(f118,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X2,sdtmndt0(X0,X1))|~pd0_0(X2,X1,X0))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f82])).
% 2.79/0.74 fof(f119,plain,(
% 2.79/0.74 ~aElementOf0(xx,sdtmndt0(xS,xx))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f93])).
% 2.79/0.74 fof(f120,plain,(
% 2.79/0.74 aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(xx)),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f99])).
% 2.79/0.74 fof(f121,plain,(
% 2.79/0.74 ![X0,X1]: (~pd0_0(X0,X0,X1))),
% 2.79/0.74 inference(destructive_equality_resolution,[status(esa)],[f105])).
% 2.79/0.74 fof(f122,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|aElementOf0(X2,sdtpldt0(X0,X1))|~aElementOf0(X2,X0))),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f113,f28])).
% 2.79/0.74 fof(f123,plain,(
% 2.79/0.74 spl0_0 <=> aElementOf0(xx,sdtmndt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f124,plain,(
% 2.79/0.74 aElementOf0(xx,sdtmndt0(xS,xx))|~spl0_0),
% 2.79/0.74 inference(component_clause,[status(thm)],[f123])).
% 2.79/0.74 fof(f126,plain,(
% 2.79/0.74 spl0_1 <=> aElement0(xx)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f127,plain,(
% 2.79/0.74 aElement0(xx)|~spl0_1),
% 2.79/0.74 inference(component_clause,[status(thm)],[f126])).
% 2.79/0.74 fof(f129,plain,(
% 2.79/0.74 spl0_2 <=> xx=xx),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f134,plain,(
% 2.79/0.74 spl0_3 <=> aSet0(xS)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f136,plain,(
% 2.79/0.74 ~aSet0(xS)|spl0_3),
% 2.79/0.74 inference(component_clause,[status(thm)],[f134])).
% 2.79/0.74 fof(f137,plain,(
% 2.79/0.74 ~aSet0(xS)|aElement0(xx)),
% 2.79/0.74 inference(resolution,[status(thm)],[f86,f28])).
% 2.79/0.74 fof(f138,plain,(
% 2.79/0.74 ~spl0_3|spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f137,f134,f126])).
% 2.79/0.74 fof(f139,plain,(
% 2.79/0.74 $false|spl0_3),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f136,f85])).
% 2.79/0.74 fof(f140,plain,(
% 2.79/0.74 spl0_3),
% 2.79/0.74 inference(contradiction_clause,[status(thm)],[f139])).
% 2.79/0.74 fof(f141,plain,(
% 2.79/0.74 $false|~spl0_0),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f124,f119])).
% 2.79/0.74 fof(f142,plain,(
% 2.79/0.74 ~spl0_0),
% 2.79/0.74 inference(contradiction_clause,[status(thm)],[f141])).
% 2.79/0.74 fof(f143,plain,(
% 2.79/0.74 spl0_4 <=> xS=slcrc0),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f144,plain,(
% 2.79/0.74 xS=slcrc0|~spl0_4),
% 2.79/0.74 inference(component_clause,[status(thm)],[f143])).
% 2.79/0.74 fof(f146,plain,(
% 2.79/0.74 spl0_5 <=> aElementOf0(sk0_0(xS),xS)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f147,plain,(
% 2.79/0.74 aElementOf0(sk0_0(xS),xS)|~spl0_5),
% 2.79/0.74 inference(component_clause,[status(thm)],[f146])).
% 2.79/0.74 fof(f149,plain,(
% 2.79/0.74 xS=slcrc0|aElementOf0(sk0_0(xS),xS)),
% 2.79/0.74 inference(resolution,[status(thm)],[f37,f85])).
% 2.79/0.74 fof(f150,plain,(
% 2.79/0.74 spl0_4|spl0_5),
% 2.79/0.74 inference(split_clause,[status(thm)],[f149,f143,f146])).
% 2.79/0.74 fof(f151,plain,(
% 2.79/0.74 spl0_6 <=> sdtpldt0(sdtmndt0(xS,xx),xx)=slcrc0),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f152,plain,(
% 2.79/0.74 sdtpldt0(sdtmndt0(xS,xx),xx)=slcrc0|~spl0_6),
% 2.79/0.74 inference(component_clause,[status(thm)],[f151])).
% 2.79/0.74 fof(f154,plain,(
% 2.79/0.74 spl0_7 <=> aElementOf0(sk0_0(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f155,plain,(
% 2.79/0.74 aElementOf0(sk0_0(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~spl0_7),
% 2.79/0.74 inference(component_clause,[status(thm)],[f154])).
% 2.79/0.74 fof(f157,plain,(
% 2.79/0.74 sdtpldt0(sdtmndt0(xS,xx),xx)=slcrc0|aElementOf0(sk0_0(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 inference(resolution,[status(thm)],[f37,f95])).
% 2.79/0.74 fof(f158,plain,(
% 2.79/0.74 spl0_6|spl0_7),
% 2.79/0.74 inference(split_clause,[status(thm)],[f157,f151,f154])).
% 2.79/0.74 fof(f159,plain,(
% 2.79/0.74 ![X0,X1]: (sdtpldt0(X0,X1)=slcrc0|aElementOf0(sk0_0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1))|~aSet0(X0)|~aElement0(X1))),
% 2.79/0.74 inference(resolution,[status(thm)],[f37,f110])).
% 2.79/0.74 fof(f168,plain,(
% 2.79/0.74 ![X0,X1]: (sdtmndt0(X0,X1)=slcrc0|aElementOf0(sk0_0(sdtmndt0(X0,X1)),sdtmndt0(X0,X1))|~aSet0(X0)|~aElement0(X1))),
% 2.79/0.74 inference(resolution,[status(thm)],[f37,f116])).
% 2.79/0.74 fof(f169,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X0)|X0=X1)),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f58,f49])).
% 2.79/0.74 fof(f170,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f60,f49])).
% 2.79/0.74 fof(f171,plain,(
% 2.79/0.74 ![X0]: (aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(X0,sdtmndt0(xS,xx)))),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f98,f91])).
% 2.79/0.74 fof(f172,plain,(
% 2.79/0.74 spl0_10 <=> slcrc0=slcrc0),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f181,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(slcrc0,X0)|aElementOf0(sk0_1(slcrc0,X0),slcrc0))),
% 2.79/0.74 inference(resolution,[status(thm)],[f51,f107])).
% 2.79/0.74 fof(f182,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(slcrc0,X0))),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f181,f108])).
% 2.79/0.74 fof(f183,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|aElementOf0(sk0_1(xS,X0),xS))),
% 2.79/0.74 inference(resolution,[status(thm)],[f51,f85])).
% 2.79/0.74 fof(f184,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 2.79/0.74 inference(resolution,[status(thm)],[f51,f95])).
% 2.79/0.74 fof(f186,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(xS,xx)))),
% 2.79/0.74 inference(resolution,[status(thm)],[f51,f90])).
% 2.79/0.74 fof(f188,plain,(
% 2.79/0.74 aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~spl0_1),
% 2.79/0.74 inference(backward_subsumption_resolution,[status(thm)],[f120,f127])).
% 2.79/0.74 fof(f189,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|aElementOf0(X1,sdtmndt0(X0,xx))|~pd0_0(X1,xx,X0)|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f127,f118])).
% 2.79/0.74 fof(f190,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|aElementOf0(X1,sdtpldt0(X0,xx))|~aElementOf0(X1,X0)|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f127,f122])).
% 2.79/0.74 fof(f191,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,sdtpldt0(X0,xx))|aElementOf0(X1,X0)|X1=xx|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f127,f112])).
% 2.79/0.74 fof(f192,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,sdtpldt0(X0,xx))|aElement0(X1)|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f127,f111])).
% 2.79/0.74 fof(f207,plain,(
% 2.79/0.74 spl0_12 <=> aSet0(slcrc0)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f209,plain,(
% 2.79/0.74 ~aSet0(slcrc0)|spl0_12),
% 2.79/0.74 inference(component_clause,[status(thm)],[f207])).
% 2.79/0.74 fof(f212,plain,(
% 2.79/0.74 spl0_13 <=> aSet0(sdtmndt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f213,plain,(
% 2.79/0.74 aSet0(sdtmndt0(xS,xx))|~spl0_13),
% 2.79/0.74 inference(component_clause,[status(thm)],[f212])).
% 2.79/0.74 fof(f214,plain,(
% 2.79/0.74 ~aSet0(sdtmndt0(xS,xx))|spl0_13),
% 2.79/0.74 inference(component_clause,[status(thm)],[f212])).
% 2.79/0.74 fof(f222,plain,(
% 2.79/0.74 spl0_15 <=> aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f223,plain,(
% 2.79/0.74 aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~spl0_15),
% 2.79/0.74 inference(component_clause,[status(thm)],[f222])).
% 2.79/0.74 fof(f224,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|spl0_15),
% 2.79/0.74 inference(component_clause,[status(thm)],[f222])).
% 2.79/0.74 fof(f233,plain,(
% 2.79/0.74 aElementOf0(xx,slcrc0)|~spl0_4),
% 2.79/0.74 inference(backward_demodulation,[status(thm)],[f144,f86])).
% 2.79/0.74 fof(f234,plain,(
% 2.79/0.74 $false|~spl0_4),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f233,f108])).
% 2.79/0.74 fof(f235,plain,(
% 2.79/0.74 ~spl0_4),
% 2.79/0.74 inference(contradiction_clause,[status(thm)],[f234])).
% 2.79/0.74 fof(f236,plain,(
% 2.79/0.74 ~aSet0(xS)|~aElement0(xx)|spl0_13),
% 2.79/0.74 inference(resolution,[status(thm)],[f214,f116])).
% 2.79/0.74 fof(f237,plain,(
% 2.79/0.74 ~spl0_3|~spl0_1|spl0_13),
% 2.79/0.74 inference(split_clause,[status(thm)],[f236,f134,f126,f212])).
% 2.79/0.74 fof(f249,plain,(
% 2.79/0.74 spl0_17 <=> ~aSet0(X0)|~aSet0(X0)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f250,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|~aSet0(X0)|~spl0_17)),
% 2.79/0.74 inference(component_clause,[status(thm)],[f249])).
% 2.79/0.74 fof(f258,plain,(
% 2.79/0.74 spl0_18 <=> aSet0(sdtpldt0(slcrc0,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f259,plain,(
% 2.79/0.74 aSet0(sdtpldt0(slcrc0,xx))|~spl0_18),
% 2.79/0.74 inference(component_clause,[status(thm)],[f258])).
% 2.79/0.74 fof(f260,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(slcrc0,xx))|spl0_18),
% 2.79/0.74 inference(component_clause,[status(thm)],[f258])).
% 2.79/0.74 fof(f269,plain,(
% 2.79/0.74 ~aSet0(slcrc0)|~aElement0(xx)|spl0_18),
% 2.79/0.74 inference(resolution,[status(thm)],[f260,f110])).
% 2.79/0.74 fof(f270,plain,(
% 2.79/0.74 ~spl0_12|~spl0_1|spl0_18),
% 2.79/0.74 inference(split_clause,[status(thm)],[f269,f207,f126,f258])).
% 2.79/0.74 fof(f273,plain,(
% 2.79/0.74 spl0_20 <=> aElementOf0(xx,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f274,plain,(
% 2.79/0.74 aElementOf0(xx,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~spl0_20),
% 2.79/0.74 inference(component_clause,[status(thm)],[f273])).
% 2.79/0.74 fof(f276,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(xx,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~spl0_1),
% 2.79/0.74 inference(resolution,[status(thm)],[f188,f190])).
% 2.79/0.74 fof(f277,plain,(
% 2.79/0.74 ~spl0_15|spl0_20|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f276,f222,f273,f126])).
% 2.79/0.74 fof(f280,plain,(
% 2.79/0.74 spl0_21 <=> aElement0(sk0_0(sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f283,plain,(
% 2.79/0.74 ~aSet0(sdtmndt0(xS,xx))|aElement0(sk0_0(sdtpldt0(sdtmndt0(xS,xx),xx)))|~spl0_7|~spl0_1),
% 2.79/0.74 inference(resolution,[status(thm)],[f155,f192])).
% 2.79/0.74 fof(f284,plain,(
% 2.79/0.74 ~spl0_13|spl0_21|~spl0_7|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f283,f212,f280,f154,f126])).
% 2.79/0.74 fof(f285,plain,(
% 2.79/0.74 spl0_22 <=> aElementOf0(sk0_0(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f288,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(sk0_0(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~spl0_7|~spl0_1),
% 2.79/0.74 inference(resolution,[status(thm)],[f155,f190])).
% 2.79/0.74 fof(f289,plain,(
% 2.79/0.74 ~spl0_15|spl0_22|~spl0_7|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f288,f222,f285,f154,f126])).
% 2.79/0.74 fof(f300,plain,(
% 2.79/0.74 ~aSet0(sdtmndt0(xS,xx))|~aElement0(xx)|spl0_15),
% 2.79/0.74 inference(resolution,[status(thm)],[f224,f110])).
% 2.79/0.74 fof(f301,plain,(
% 2.79/0.74 ~spl0_13|~spl0_1|spl0_15),
% 2.79/0.74 inference(split_clause,[status(thm)],[f300,f212,f126,f222])).
% 2.79/0.74 fof(f302,plain,(
% 2.79/0.74 aElementOf0(xx,slcrc0)|~spl0_6|~spl0_1),
% 2.79/0.74 inference(backward_demodulation,[status(thm)],[f152,f188])).
% 2.79/0.74 fof(f303,plain,(
% 2.79/0.74 $false|~spl0_6|~spl0_1),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f302,f108])).
% 2.79/0.74 fof(f304,plain,(
% 2.79/0.74 ~spl0_6|~spl0_1),
% 2.79/0.74 inference(contradiction_clause,[status(thm)],[f303])).
% 2.79/0.74 fof(f305,plain,(
% 2.79/0.74 $false|spl0_12),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f209,f107])).
% 2.79/0.74 fof(f306,plain,(
% 2.79/0.74 spl0_12),
% 2.79/0.74 inference(contradiction_clause,[status(thm)],[f305])).
% 2.79/0.74 fof(f330,plain,(
% 2.79/0.74 spl0_25 <=> aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f332,plain,(
% 2.79/0.74 ~aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|spl0_25),
% 2.79/0.74 inference(component_clause,[status(thm)],[f330])).
% 2.79/0.74 fof(f337,plain,(
% 2.79/0.74 spl0_26 <=> aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f338,plain,(
% 2.79/0.74 aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~spl0_26),
% 2.79/0.74 inference(component_clause,[status(thm)],[f337])).
% 2.79/0.74 fof(f339,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|spl0_26),
% 2.79/0.74 inference(component_clause,[status(thm)],[f337])).
% 2.79/0.74 fof(f340,plain,(
% 2.79/0.74 spl0_27 <=> aElementOf0(xx,sdtpldt0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f343,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|aElementOf0(xx,sdtpldt0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),xx))|~spl0_20|~spl0_1),
% 2.79/0.74 inference(resolution,[status(thm)],[f274,f190])).
% 2.79/0.74 fof(f344,plain,(
% 2.79/0.74 ~spl0_26|spl0_27|~spl0_20|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f343,f337,f340,f273,f126])).
% 2.79/0.74 fof(f347,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(xx)|spl0_26),
% 2.79/0.74 inference(resolution,[status(thm)],[f339,f110])).
% 2.79/0.74 fof(f348,plain,(
% 2.79/0.74 ~spl0_15|~spl0_1|spl0_26),
% 2.79/0.74 inference(split_clause,[status(thm)],[f347,f222,f126,f337])).
% 2.79/0.74 fof(f350,plain,(
% 2.79/0.74 spl0_28 <=> sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=slcrc0),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f351,plain,(
% 2.79/0.74 sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=slcrc0|~spl0_28),
% 2.79/0.74 inference(component_clause,[status(thm)],[f350])).
% 2.79/0.74 fof(f353,plain,(
% 2.79/0.74 spl0_29 <=> aElementOf0(sk0_0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f356,plain,(
% 2.79/0.74 sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=slcrc0|aElementOf0(sk0_0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~spl0_26),
% 2.79/0.74 inference(resolution,[status(thm)],[f338,f37])).
% 2.79/0.74 fof(f357,plain,(
% 2.79/0.74 spl0_28|spl0_29|~spl0_26),
% 2.79/0.74 inference(split_clause,[status(thm)],[f356,f350,f353,f337])).
% 2.79/0.74 fof(f359,plain,(
% 2.79/0.74 aElementOf0(xx,slcrc0)|~spl0_28|~spl0_20),
% 2.79/0.74 inference(backward_demodulation,[status(thm)],[f351,f274])).
% 2.79/0.74 fof(f360,plain,(
% 2.79/0.74 $false|~spl0_28|~spl0_20),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f359,f108])).
% 2.79/0.74 fof(f361,plain,(
% 2.79/0.74 ~spl0_28|~spl0_20),
% 2.79/0.74 inference(contradiction_clause,[status(thm)],[f360])).
% 2.79/0.74 fof(f373,plain,(
% 2.79/0.74 spl0_30 <=> aElementOf0(sk0_0(xS),sdtpldt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f374,plain,(
% 2.79/0.74 aElementOf0(sk0_0(xS),sdtpldt0(xS,xx))|~spl0_30),
% 2.79/0.74 inference(component_clause,[status(thm)],[f373])).
% 2.79/0.74 fof(f378,plain,(
% 2.79/0.74 spl0_31 <=> aElement0(sk0_0(xS))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f390,plain,(
% 2.79/0.74 spl0_32 <=> aElementOf0(sk0_0(xS),sdtmndt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f393,plain,(
% 2.79/0.74 spl0_33 <=> sk0_0(xS)=xx),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f403,plain,(
% 2.79/0.74 spl0_34 <=> aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f404,plain,(
% 2.79/0.74 aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,xx))|~spl0_34),
% 2.79/0.74 inference(component_clause,[status(thm)],[f403])).
% 2.79/0.74 fof(f406,plain,(
% 2.79/0.74 ~aSet0(sdtmndt0(xS,xx))|aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,xx))|~aSet0(sdtmndt0(xS,xx))|aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,xx))|~aSet0(sdtmndt0(xS,xx))),
% 2.79/0.74 inference(resolution,[status(thm)],[f186,f52])).
% 2.79/0.74 fof(f407,plain,(
% 2.79/0.74 ~spl0_13|spl0_34),
% 2.79/0.74 inference(split_clause,[status(thm)],[f406,f212,f403])).
% 2.79/0.74 fof(f408,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 2.79/0.74 inference(resolution,[status(thm)],[f186,f171])).
% 2.79/0.74 fof(f409,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),xS))),
% 2.79/0.74 inference(resolution,[status(thm)],[f186,f92])).
% 2.79/0.74 fof(f410,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElement0(sk0_1(sdtmndt0(xS,xx),X0)))),
% 2.79/0.74 inference(resolution,[status(thm)],[f186,f91])).
% 2.79/0.74 fof(f411,plain,(
% 2.79/0.74 spl0_35 <=> ~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f414,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(sdtmndt0(xS,xx))|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f186,f190])).
% 2.79/0.74 fof(f415,plain,(
% 2.79/0.74 spl0_35|~spl0_13|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f414,f411,f212,f126])).
% 2.79/0.74 fof(f416,plain,(
% 2.79/0.74 spl0_36 <=> ~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElement0(sk0_1(sdtmndt0(xS,xx),X0))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f421,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aElementOf0(X2,sdtmndt0(X1,sk0_1(sdtmndt0(xS,xx),X0)))|~pd0_0(X2,sk0_1(sdtmndt0(xS,xx),X0),X1))),
% 2.79/0.74 inference(resolution,[status(thm)],[f410,f118])).
% 2.79/0.74 fof(f422,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aElementOf0(X2,sdtpldt0(X1,sk0_1(sdtmndt0(xS,xx),X0)))|~aElementOf0(X2,X1))),
% 2.79/0.74 inference(resolution,[status(thm)],[f410,f122])).
% 2.79/0.74 fof(f424,plain,(
% 2.79/0.74 ![X0,X1,X2]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|~aElementOf0(X2,sdtpldt0(X1,sk0_1(sdtmndt0(xS,xx),X0)))|aElement0(X2))),
% 2.79/0.74 inference(resolution,[status(thm)],[f410,f111])).
% 2.79/0.74 fof(f425,plain,(
% 2.79/0.74 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtpldt0(X1,sk0_1(sdtmndt0(xS,xx),X0))))),
% 2.79/0.74 inference(resolution,[status(thm)],[f410,f115])).
% 2.79/0.74 fof(f426,plain,(
% 2.79/0.74 spl0_37 <=> aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f429,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(sdtmndt0(xS,xx))),
% 2.79/0.74 inference(resolution,[status(thm)],[f408,f52])).
% 2.79/0.74 fof(f430,plain,(
% 2.79/0.74 ~spl0_15|spl0_37|~spl0_13),
% 2.79/0.74 inference(split_clause,[status(thm)],[f429,f222,f426,f212])).
% 2.79/0.74 fof(f433,plain,(
% 2.79/0.74 spl0_38 <=> ~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(xS,xx))|sk0_1(sdtmndt0(xS,xx),X0)=xx),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f436,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(sdtmndt0(xS,xx))|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(xS,xx))|sk0_1(sdtmndt0(xS,xx),X0)=xx|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f408,f191])).
% 2.79/0.74 fof(f437,plain,(
% 2.79/0.74 spl0_38|~spl0_13|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f436,f433,f212,f126])).
% 2.79/0.74 fof(f440,plain,(
% 2.79/0.74 spl0_39 <=> ~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f443,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f408,f190])).
% 2.79/0.74 fof(f444,plain,(
% 2.79/0.74 spl0_39|~spl0_15|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f443,f440,f222,f126])).
% 2.79/0.74 fof(f445,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElement0(sk0_1(sdtmndt0(xS,xx),X0)))),
% 2.79/0.74 inference(resolution,[status(thm)],[f408,f28])).
% 2.79/0.74 fof(f446,plain,(
% 2.79/0.74 spl0_36|~spl0_15),
% 2.79/0.74 inference(split_clause,[status(thm)],[f445,f416,f222])).
% 2.79/0.74 fof(f450,plain,(
% 2.79/0.74 spl0_40 <=> aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f451,plain,(
% 2.79/0.74 aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))|~spl0_40),
% 2.79/0.74 inference(component_clause,[status(thm)],[f450])).
% 2.79/0.74 fof(f453,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 inference(resolution,[status(thm)],[f184,f52])).
% 2.79/0.74 fof(f454,plain,(
% 2.79/0.74 ~spl0_15|spl0_40),
% 2.79/0.74 inference(split_clause,[status(thm)],[f453,f222,f450])).
% 2.79/0.74 fof(f455,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx)),
% 2.79/0.74 inference(resolution,[status(thm)],[f184,f97])).
% 2.79/0.74 fof(f457,plain,(
% 2.79/0.74 spl0_41 <=> ~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f460,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|~aSet0(sdtmndt0(xS,xx))|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f184,f191])).
% 2.79/0.74 fof(f461,plain,(
% 2.79/0.74 spl0_41|~spl0_13|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f460,f457,f212,f126])).
% 2.79/0.74 fof(f462,plain,(
% 2.79/0.74 spl0_42 <=> ~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElement0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f467,plain,(
% 2.79/0.74 spl0_43 <=> ~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f470,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f184,f190])).
% 2.79/0.74 fof(f471,plain,(
% 2.79/0.74 spl0_43|~spl0_15|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f470,f467,f222,f126])).
% 2.79/0.74 fof(f472,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElement0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)))),
% 2.79/0.74 inference(resolution,[status(thm)],[f184,f28])).
% 2.79/0.74 fof(f473,plain,(
% 2.79/0.74 spl0_42|~spl0_15),
% 2.79/0.74 inference(split_clause,[status(thm)],[f472,f462,f222])).
% 2.79/0.74 fof(f476,plain,(
% 2.79/0.74 spl0_44 <=> aElementOf0(xx,sdtpldt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f477,plain,(
% 2.79/0.74 aElementOf0(xx,sdtpldt0(xS,xx))|~spl0_44),
% 2.79/0.74 inference(component_clause,[status(thm)],[f476])).
% 2.79/0.74 fof(f479,plain,(
% 2.79/0.74 ~aSet0(xS)|aElementOf0(xx,sdtpldt0(xS,xx))|~spl0_1),
% 2.79/0.74 inference(resolution,[status(thm)],[f86,f190])).
% 2.79/0.74 fof(f480,plain,(
% 2.79/0.74 ~spl0_3|spl0_44|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f479,f134,f476,f126])).
% 2.79/0.74 fof(f485,plain,(
% 2.79/0.74 ![X0]: (sdtpldt0(X0,xx)=slcrc0|aElementOf0(sk0_0(sdtpldt0(X0,xx)),sdtpldt0(X0,xx))|~aSet0(X0)|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f159,f127])).
% 2.79/0.74 fof(f488,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|~aSet0(X0)|~aSubsetOf0(X0,slcrc0)|X0=slcrc0)),
% 2.79/0.74 inference(resolution,[status(thm)],[f182,f169])).
% 2.79/0.74 fof(f489,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|~aSubsetOf0(X0,slcrc0)|X0=slcrc0)),
% 2.79/0.74 inference(duplicate_literals_removal,[status(esa)],[f488])).
% 2.79/0.74 fof(f494,plain,(
% 2.79/0.74 ~aSet0(slcrc0)|slcrc0=slcrc0|~aSet0(slcrc0)),
% 2.79/0.74 inference(resolution,[status(thm)],[f489,f182])).
% 2.79/0.74 fof(f495,plain,(
% 2.79/0.74 ~spl0_12|spl0_10),
% 2.79/0.74 inference(split_clause,[status(thm)],[f494,f207,f172])).
% 2.79/0.74 fof(f498,plain,(
% 2.79/0.74 spl0_45 <=> ~aSubsetOf0(X0,slcrc0)|isFinite0(X0)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f499,plain,(
% 2.79/0.74 ![X0]: (~aSubsetOf0(X0,slcrc0)|isFinite0(X0)|~spl0_45)),
% 2.79/0.74 inference(component_clause,[status(thm)],[f498])).
% 2.79/0.74 fof(f501,plain,(
% 2.79/0.74 ![X0]: (~aSet0(slcrc0)|~aSubsetOf0(X0,slcrc0)|isFinite0(X0))),
% 2.79/0.74 inference(resolution,[status(thm)],[f54,f38])).
% 2.79/0.74 fof(f502,plain,(
% 2.79/0.74 ~spl0_12|spl0_45),
% 2.79/0.74 inference(split_clause,[status(thm)],[f501,f207,f498])).
% 2.79/0.74 fof(f503,plain,(
% 2.79/0.74 ![X0,X1,X2]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),X1,X2)|~aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),X2)|sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0))),
% 2.79/0.74 inference(resolution,[status(thm)],[f106,f410])).
% 2.79/0.74 fof(f506,plain,(
% 2.79/0.74 spl0_46 <=> aSubsetOf0(xS,xS)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f507,plain,(
% 2.79/0.74 aSubsetOf0(xS,xS)|~spl0_46),
% 2.79/0.74 inference(component_clause,[status(thm)],[f506])).
% 2.79/0.74 fof(f509,plain,(
% 2.79/0.74 ~aSet0(xS)|aSubsetOf0(xS,xS)|~aSet0(xS)|aSubsetOf0(xS,xS)|~aSet0(xS)),
% 2.79/0.74 inference(resolution,[status(thm)],[f183,f52])).
% 2.79/0.74 fof(f510,plain,(
% 2.79/0.74 ~spl0_3|spl0_46),
% 2.79/0.74 inference(split_clause,[status(thm)],[f509,f134,f506])).
% 2.79/0.74 fof(f512,plain,(
% 2.79/0.74 spl0_47 <=> ~aSet0(X0)|aSubsetOf0(xS,X0)|aElementOf0(sk0_1(xS,X0),sdtpldt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f513,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|aElementOf0(sk0_1(xS,X0),sdtpldt0(xS,xx))|~spl0_47)),
% 2.79/0.74 inference(component_clause,[status(thm)],[f512])).
% 2.79/0.74 fof(f515,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|~aSet0(xS)|aElementOf0(sk0_1(xS,X0),sdtpldt0(xS,xx))|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f183,f190])).
% 2.79/0.74 fof(f516,plain,(
% 2.79/0.74 spl0_47|~spl0_3|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f515,f512,f134,f126])).
% 2.79/0.74 fof(f517,plain,(
% 2.79/0.74 spl0_48 <=> ~aSet0(X0)|aSubsetOf0(xS,X0)|aElement0(sk0_1(xS,X0))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f518,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|aElement0(sk0_1(xS,X0))|~spl0_48)),
% 2.79/0.74 inference(component_clause,[status(thm)],[f517])).
% 2.79/0.74 fof(f520,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|~aSet0(xS)|aElement0(sk0_1(xS,X0)))),
% 2.79/0.74 inference(resolution,[status(thm)],[f183,f28])).
% 2.79/0.74 fof(f521,plain,(
% 2.79/0.74 spl0_48|~spl0_3),
% 2.79/0.74 inference(split_clause,[status(thm)],[f520,f517,f134])).
% 2.79/0.74 fof(f522,plain,(
% 2.79/0.74 spl0_49 <=> pd0_0(sk0_1(sdtmndt0(xS,xx),X0),xx,xS)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f523,plain,(
% 2.79/0.74 ![X0]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),xx,xS)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~spl0_49)),
% 2.79/0.74 inference(component_clause,[status(thm)],[f522])).
% 2.79/0.74 fof(f525,plain,(
% 2.79/0.74 ![X0]: (~aSet0(xS)|~aElement0(xx)|pd0_0(sk0_1(sdtmndt0(xS,xx),X0),xx,xS)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0))),
% 2.79/0.74 inference(resolution,[status(thm)],[f117,f186])).
% 2.79/0.74 fof(f526,plain,(
% 2.79/0.74 ~spl0_3|~spl0_1|spl0_49),
% 2.79/0.74 inference(split_clause,[status(thm)],[f525,f134,f126,f522])).
% 2.79/0.74 fof(f534,plain,(
% 2.79/0.74 ![X0]: (sdtmndt0(X0,xx)=slcrc0|aElementOf0(sk0_0(sdtmndt0(X0,xx)),sdtmndt0(X0,xx))|~aSet0(X0)|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f168,f127])).
% 2.79/0.74 fof(f535,plain,(
% 2.79/0.74 spl0_51 <=> aSubsetOf0(sdtmndt0(xS,xx),xS)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f536,plain,(
% 2.79/0.74 aSubsetOf0(sdtmndt0(xS,xx),xS)|~spl0_51),
% 2.79/0.74 inference(component_clause,[status(thm)],[f535])).
% 2.79/0.74 fof(f538,plain,(
% 2.79/0.74 ~aSet0(xS)|aSubsetOf0(sdtmndt0(xS,xx),xS)|~aSet0(xS)|aSubsetOf0(sdtmndt0(xS,xx),xS)|~aSet0(sdtmndt0(xS,xx))),
% 2.79/0.74 inference(resolution,[status(thm)],[f409,f52])).
% 2.79/0.74 fof(f539,plain,(
% 2.79/0.74 ~spl0_3|spl0_51|~spl0_13),
% 2.79/0.74 inference(split_clause,[status(thm)],[f538,f134,f535,f212])).
% 2.79/0.74 fof(f541,plain,(
% 2.79/0.74 spl0_52 <=> ~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtpldt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f544,plain,(
% 2.79/0.74 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(xS)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtpldt0(xS,xx))|~spl0_1)),
% 2.79/0.74 inference(resolution,[status(thm)],[f409,f190])).
% 2.79/0.74 fof(f545,plain,(
% 2.79/0.74 spl0_52|~spl0_3|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f544,f541,f134,f126])).
% 2.79/0.74 fof(f561,plain,(
% 2.79/0.74 spl0_53 <=> aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f562,plain,(
% 2.79/0.74 aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|~spl0_53),
% 2.79/0.74 inference(component_clause,[status(thm)],[f561])).
% 2.79/0.74 fof(f607,plain,(
% 2.79/0.74 spl0_62 <=> aElementOf0(xx,xS)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f614,plain,(
% 2.79/0.74 spl0_63 <=> aSet0(sdtpldt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f615,plain,(
% 2.79/0.74 aSet0(sdtpldt0(xS,xx))|~spl0_63),
% 2.79/0.74 inference(component_clause,[status(thm)],[f614])).
% 2.79/0.74 fof(f616,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(xS,xx))|spl0_63),
% 2.79/0.74 inference(component_clause,[status(thm)],[f614])).
% 2.79/0.74 fof(f617,plain,(
% 2.79/0.74 spl0_64 <=> aElementOf0(xx,sdtpldt0(sdtpldt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f618,plain,(
% 2.79/0.74 aElementOf0(xx,sdtpldt0(sdtpldt0(xS,xx),xx))|~spl0_64),
% 2.79/0.74 inference(component_clause,[status(thm)],[f617])).
% 2.79/0.74 fof(f620,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(xS,xx))|aElementOf0(xx,sdtpldt0(sdtpldt0(xS,xx),xx))|~spl0_44|~spl0_1),
% 2.79/0.74 inference(resolution,[status(thm)],[f477,f190])).
% 2.79/0.74 fof(f621,plain,(
% 2.79/0.74 ~spl0_63|spl0_64|~spl0_44|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f620,f614,f617,f476,f126])).
% 2.79/0.74 fof(f624,plain,(
% 2.79/0.74 ~aSet0(xS)|~aElement0(xx)|spl0_63),
% 2.79/0.74 inference(resolution,[status(thm)],[f616,f110])).
% 2.79/0.74 fof(f625,plain,(
% 2.79/0.74 ~spl0_3|~spl0_1|spl0_63),
% 2.79/0.74 inference(split_clause,[status(thm)],[f624,f134,f126,f614])).
% 2.79/0.74 fof(f635,plain,(
% 2.79/0.74 spl0_67 <=> sdtpldt0(xS,xx)=slcrc0),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f636,plain,(
% 2.79/0.74 sdtpldt0(xS,xx)=slcrc0|~spl0_67),
% 2.79/0.74 inference(component_clause,[status(thm)],[f635])).
% 2.79/0.74 fof(f638,plain,(
% 2.79/0.74 spl0_68 <=> aElementOf0(sk0_0(sdtpldt0(xS,xx)),sdtpldt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f639,plain,(
% 2.79/0.74 aElementOf0(sk0_0(sdtpldt0(xS,xx)),sdtpldt0(xS,xx))|~spl0_68),
% 2.79/0.74 inference(component_clause,[status(thm)],[f638])).
% 2.79/0.74 fof(f641,plain,(
% 2.79/0.74 sdtpldt0(xS,xx)=slcrc0|aElementOf0(sk0_0(sdtpldt0(xS,xx)),sdtpldt0(xS,xx))|~spl0_63),
% 2.79/0.74 inference(resolution,[status(thm)],[f615,f37])).
% 2.79/0.74 fof(f642,plain,(
% 2.79/0.74 spl0_67|spl0_68|~spl0_63),
% 2.79/0.74 inference(split_clause,[status(thm)],[f641,f635,f638,f614])).
% 2.79/0.74 fof(f644,plain,(
% 2.79/0.74 aElementOf0(xx,slcrc0)|~spl0_67|~spl0_44),
% 2.79/0.74 inference(backward_demodulation,[status(thm)],[f636,f477])).
% 2.79/0.74 fof(f645,plain,(
% 2.79/0.74 $false|~spl0_67|~spl0_44),
% 2.79/0.74 inference(forward_subsumption_resolution,[status(thm)],[f644,f108])).
% 2.79/0.74 fof(f646,plain,(
% 2.79/0.74 ~spl0_67|~spl0_44),
% 2.79/0.74 inference(contradiction_clause,[status(thm)],[f645])).
% 2.79/0.74 fof(f652,plain,(
% 2.79/0.74 spl0_69 <=> ~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f655,plain,(
% 2.79/0.74 ![X0]: (~aSet0(xS)|~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~spl0_51)),
% 2.79/0.74 inference(resolution,[status(thm)],[f536,f170])).
% 2.79/0.74 fof(f656,plain,(
% 2.79/0.74 ~spl0_3|spl0_69|~spl0_51),
% 2.79/0.74 inference(split_clause,[status(thm)],[f655,f134,f652,f535])).
% 2.79/0.74 fof(f657,plain,(
% 2.79/0.74 spl0_70 <=> aSubsetOf0(xS,sdtmndt0(xS,xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f660,plain,(
% 2.79/0.74 spl0_71 <=> xS=sdtmndt0(xS,xx)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f661,plain,(
% 2.79/0.74 xS=sdtmndt0(xS,xx)|~spl0_71),
% 2.79/0.74 inference(component_clause,[status(thm)],[f660])).
% 2.79/0.74 fof(f663,plain,(
% 2.79/0.74 ~aSet0(xS)|~aSubsetOf0(xS,sdtmndt0(xS,xx))|xS=sdtmndt0(xS,xx)|~spl0_51),
% 2.79/0.74 inference(resolution,[status(thm)],[f536,f169])).
% 2.79/0.74 fof(f664,plain,(
% 2.79/0.74 ~spl0_3|~spl0_70|spl0_71|~spl0_51),
% 2.79/0.74 inference(split_clause,[status(thm)],[f663,f134,f657,f660,f535])).
% 2.79/0.74 fof(f665,plain,(
% 2.79/0.74 spl0_72 <=> ~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,xS)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f668,plain,(
% 2.79/0.74 ![X0]: (~aSet0(xS)|~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,xS)|~spl0_51)),
% 2.79/0.74 inference(resolution,[status(thm)],[f536,f50])).
% 2.79/0.74 fof(f669,plain,(
% 2.79/0.74 ~spl0_3|spl0_72|~spl0_51),
% 2.79/0.74 inference(split_clause,[status(thm)],[f668,f134,f665,f535])).
% 2.79/0.74 fof(f682,plain,(
% 2.79/0.74 ~aSet0(xS)|aElement0(sk0_0(xS))|~spl0_30|~spl0_1),
% 2.79/0.74 inference(resolution,[status(thm)],[f374,f192])).
% 2.79/0.74 fof(f683,plain,(
% 2.79/0.74 ~spl0_3|spl0_31|~spl0_30|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f682,f134,f378,f373,f126])).
% 2.79/0.74 fof(f684,plain,(
% 2.79/0.74 spl0_73 <=> aElementOf0(sk0_0(xS),sdtpldt0(sdtpldt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f685,plain,(
% 2.79/0.74 aElementOf0(sk0_0(xS),sdtpldt0(sdtpldt0(xS,xx),xx))|~spl0_73),
% 2.79/0.74 inference(component_clause,[status(thm)],[f684])).
% 2.79/0.74 fof(f687,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(xS,xx))|aElementOf0(sk0_0(xS),sdtpldt0(sdtpldt0(xS,xx),xx))|~spl0_30|~spl0_1),
% 2.79/0.74 inference(resolution,[status(thm)],[f374,f190])).
% 2.79/0.74 fof(f688,plain,(
% 2.79/0.74 ~spl0_63|spl0_73|~spl0_30|~spl0_1),
% 2.79/0.74 inference(split_clause,[status(thm)],[f687,f614,f684,f373,f126])).
% 2.79/0.74 fof(f699,plain,(
% 2.79/0.74 spl0_75 <=> aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f702,plain,(
% 2.79/0.74 spl0_76 <=> xS=sdtpldt0(sdtmndt0(xS,xx),xx)),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f703,plain,(
% 2.79/0.74 xS=sdtpldt0(sdtmndt0(xS,xx),xx)|~spl0_76),
% 2.79/0.74 inference(component_clause,[status(thm)],[f702])).
% 2.79/0.74 fof(f705,plain,(
% 2.79/0.74 ~aSet0(xS)|~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|xS=sdtpldt0(sdtmndt0(xS,xx),xx)|~spl0_53),
% 2.79/0.74 inference(resolution,[status(thm)],[f562,f169])).
% 2.79/0.74 fof(f706,plain,(
% 2.79/0.74 ~spl0_3|~spl0_75|spl0_76|~spl0_53),
% 2.79/0.74 inference(split_clause,[status(thm)],[f705,f134,f699,f702,f561])).
% 2.79/0.74 fof(f718,plain,(
% 2.79/0.74 spl0_78 <=> aSet0(sdtpldt0(sdtpldt0(xS,xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f719,plain,(
% 2.79/0.74 aSet0(sdtpldt0(sdtpldt0(xS,xx),xx))|~spl0_78),
% 2.79/0.74 inference(component_clause,[status(thm)],[f718])).
% 2.79/0.74 fof(f720,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtpldt0(xS,xx),xx))|spl0_78),
% 2.79/0.74 inference(component_clause,[status(thm)],[f718])).
% 2.79/0.74 fof(f721,plain,(
% 2.79/0.74 spl0_79 <=> aElementOf0(xx,sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))),
% 2.79/0.74 introduced(split_symbol_definition)).
% 2.79/0.74 fof(f722,plain,(
% 2.79/0.74 aElementOf0(xx,sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))|~spl0_79),
% 2.79/0.74 inference(component_clause,[status(thm)],[f721])).
% 2.79/0.74 fof(f724,plain,(
% 2.79/0.74 ~aSet0(sdtpldt0(sdtpldt0(xS,xx),xx))|aElementOf0(xx,sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))|~spl0_64|~spl0_1),
% 2.79/0.74 inference(resolution,[status(thm)],[f618,f190])).
% 2.79/0.75 fof(f725,plain,(
% 2.79/0.75 ~spl0_78|spl0_79|~spl0_64|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f724,f718,f721,f617,f126])).
% 2.79/0.75 fof(f728,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(xS,xx))|~aElement0(xx)|spl0_78),
% 2.79/0.75 inference(resolution,[status(thm)],[f720,f110])).
% 2.79/0.75 fof(f729,plain,(
% 2.79/0.75 ~spl0_63|~spl0_1|spl0_78),
% 2.79/0.75 inference(split_clause,[status(thm)],[f728,f614,f126,f718])).
% 2.79/0.75 fof(f739,plain,(
% 2.79/0.75 spl0_82 <=> sdtpldt0(sdtpldt0(xS,xx),xx)=slcrc0),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f740,plain,(
% 2.79/0.75 sdtpldt0(sdtpldt0(xS,xx),xx)=slcrc0|~spl0_82),
% 2.79/0.75 inference(component_clause,[status(thm)],[f739])).
% 2.79/0.75 fof(f742,plain,(
% 2.79/0.75 spl0_83 <=> aElementOf0(sk0_0(sdtpldt0(sdtpldt0(xS,xx),xx)),sdtpldt0(sdtpldt0(xS,xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f745,plain,(
% 2.79/0.75 sdtpldt0(sdtpldt0(xS,xx),xx)=slcrc0|aElementOf0(sk0_0(sdtpldt0(sdtpldt0(xS,xx),xx)),sdtpldt0(sdtpldt0(xS,xx),xx))|~spl0_78),
% 2.79/0.75 inference(resolution,[status(thm)],[f719,f37])).
% 2.79/0.75 fof(f746,plain,(
% 2.79/0.75 spl0_82|spl0_83|~spl0_78),
% 2.79/0.75 inference(split_clause,[status(thm)],[f745,f739,f742,f718])).
% 2.79/0.75 fof(f748,plain,(
% 2.79/0.75 aElementOf0(xx,slcrc0)|~spl0_82|~spl0_64),
% 2.79/0.75 inference(backward_demodulation,[status(thm)],[f740,f618])).
% 2.79/0.75 fof(f749,plain,(
% 2.79/0.75 $false|~spl0_82|~spl0_64),
% 2.79/0.75 inference(forward_subsumption_resolution,[status(thm)],[f748,f108])).
% 2.79/0.75 fof(f750,plain,(
% 2.79/0.75 ~spl0_82|~spl0_64),
% 2.79/0.75 inference(contradiction_clause,[status(thm)],[f749])).
% 2.79/0.75 fof(f806,plain,(
% 2.79/0.75 spl0_92 <=> aElement0(sk0_0(sdtpldt0(xS,xx)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f809,plain,(
% 2.79/0.75 ~aSet0(xS)|aElement0(sk0_0(sdtpldt0(xS,xx)))|~spl0_68|~spl0_1),
% 2.79/0.75 inference(resolution,[status(thm)],[f639,f192])).
% 2.79/0.75 fof(f810,plain,(
% 2.79/0.75 ~spl0_3|spl0_92|~spl0_68|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f809,f134,f806,f638,f126])).
% 2.79/0.75 fof(f811,plain,(
% 2.79/0.75 spl0_93 <=> aElementOf0(sk0_0(sdtpldt0(xS,xx)),sdtpldt0(sdtpldt0(xS,xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f814,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(xS,xx))|aElementOf0(sk0_0(sdtpldt0(xS,xx)),sdtpldt0(sdtpldt0(xS,xx),xx))|~spl0_68|~spl0_1),
% 2.79/0.75 inference(resolution,[status(thm)],[f639,f190])).
% 2.79/0.75 fof(f815,plain,(
% 2.79/0.75 ~spl0_63|spl0_93|~spl0_68|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f814,f614,f811,f638,f126])).
% 2.79/0.75 fof(f835,plain,(
% 2.79/0.75 spl0_94 <=> aElementOf0(sk0_0(xS),sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f838,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(sdtpldt0(xS,xx),xx))|aElementOf0(sk0_0(xS),sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))|~spl0_73|~spl0_1),
% 2.79/0.75 inference(resolution,[status(thm)],[f685,f190])).
% 2.79/0.75 fof(f839,plain,(
% 2.79/0.75 ~spl0_78|spl0_94|~spl0_73|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f838,f718,f835,f684,f126])).
% 2.79/0.75 fof(f859,plain,(
% 2.79/0.75 spl0_95 <=> aSet0(sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f860,plain,(
% 2.79/0.75 aSet0(sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))|~spl0_95),
% 2.79/0.75 inference(component_clause,[status(thm)],[f859])).
% 2.79/0.75 fof(f861,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))|spl0_95),
% 2.79/0.75 inference(component_clause,[status(thm)],[f859])).
% 2.79/0.75 fof(f862,plain,(
% 2.79/0.75 spl0_96 <=> aElementOf0(xx,sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f865,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))|aElementOf0(xx,sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx),xx))|~spl0_79|~spl0_1),
% 2.79/0.75 inference(resolution,[status(thm)],[f722,f190])).
% 2.79/0.75 fof(f866,plain,(
% 2.79/0.75 ~spl0_95|spl0_96|~spl0_79|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f865,f859,f862,f721,f126])).
% 2.79/0.75 fof(f869,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(sdtpldt0(xS,xx),xx))|~aElement0(xx)|spl0_95),
% 2.79/0.75 inference(resolution,[status(thm)],[f861,f110])).
% 2.79/0.75 fof(f870,plain,(
% 2.79/0.75 ~spl0_78|~spl0_1|spl0_95),
% 2.79/0.75 inference(split_clause,[status(thm)],[f869,f718,f126,f859])).
% 2.79/0.75 fof(f880,plain,(
% 2.79/0.75 spl0_99 <=> sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx)=slcrc0),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f881,plain,(
% 2.79/0.75 sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx)=slcrc0|~spl0_99),
% 2.79/0.75 inference(component_clause,[status(thm)],[f880])).
% 2.79/0.75 fof(f883,plain,(
% 2.79/0.75 spl0_100 <=> aElementOf0(sk0_0(sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx)),sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f886,plain,(
% 2.79/0.75 sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx)=slcrc0|aElementOf0(sk0_0(sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx)),sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))|~spl0_95),
% 2.79/0.75 inference(resolution,[status(thm)],[f860,f37])).
% 2.79/0.75 fof(f887,plain,(
% 2.79/0.75 spl0_99|spl0_100|~spl0_95),
% 2.79/0.75 inference(split_clause,[status(thm)],[f886,f880,f883,f859])).
% 2.79/0.75 fof(f889,plain,(
% 2.79/0.75 aElementOf0(xx,slcrc0)|~spl0_99|~spl0_79),
% 2.79/0.75 inference(backward_demodulation,[status(thm)],[f881,f722])).
% 2.79/0.75 fof(f890,plain,(
% 2.79/0.75 $false|~spl0_99|~spl0_79),
% 2.79/0.75 inference(forward_subsumption_resolution,[status(thm)],[f889,f108])).
% 2.79/0.75 fof(f891,plain,(
% 2.79/0.75 ~spl0_99|~spl0_79),
% 2.79/0.75 inference(contradiction_clause,[status(thm)],[f890])).
% 2.79/0.75 fof(f936,plain,(
% 2.79/0.75 spl0_104 <=> isFinite0(slcrc0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f939,plain,(
% 2.79/0.75 isFinite0(slcrc0)|~aSet0(slcrc0)|~spl0_45),
% 2.79/0.75 inference(resolution,[status(thm)],[f499,f182])).
% 2.79/0.75 fof(f940,plain,(
% 2.79/0.75 spl0_104|~spl0_12|~spl0_45),
% 2.79/0.75 inference(split_clause,[status(thm)],[f939,f936,f207,f498])).
% 2.79/0.75 fof(f956,plain,(
% 2.79/0.75 spl0_105 <=> ~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f957,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~spl0_105)),
% 2.79/0.75 inference(component_clause,[status(thm)],[f956])).
% 2.79/0.75 fof(f959,plain,(
% 2.79/0.75 spl0_106 <=> ~aSet0(X1)|aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f962,plain,(
% 2.79/0.75 ![X0,X1,X2]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aElement0(X2)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|~aElementOf0(X2,X1))),
% 2.79/0.75 inference(resolution,[status(thm)],[f424,f422])).
% 2.79/0.75 fof(f963,plain,(
% 2.79/0.75 spl0_105|spl0_106),
% 2.79/0.75 inference(split_clause,[status(thm)],[f962,f956,f959])).
% 2.79/0.75 fof(f964,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~spl0_105)),
% 2.79/0.75 inference(duplicate_literals_removal,[status(esa)],[f957])).
% 2.79/0.75 fof(f965,plain,(
% 2.79/0.75 spl0_107 <=> ~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElement0(sk0_1(sdtmndt0(xS,xx),X0))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f968,plain,(
% 2.79/0.75 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aElement0(sk0_1(sdtmndt0(xS,xx),X0)))),
% 2.79/0.75 inference(resolution,[status(thm)],[f425,f424])).
% 2.79/0.75 fof(f969,plain,(
% 2.79/0.75 spl0_107|spl0_17),
% 2.79/0.75 inference(split_clause,[status(thm)],[f968,f965,f249])).
% 2.79/0.75 fof(f972,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|~spl0_17)),
% 2.79/0.75 inference(duplicate_literals_removal,[status(esa)],[f250])).
% 2.79/0.75 fof(f991,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),xS))),
% 2.79/0.75 inference(resolution,[status(thm)],[f455,f92])).
% 2.79/0.75 fof(f993,plain,(
% 2.79/0.75 spl0_109 <=> ~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|pd0_0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),xx,xS)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f996,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|~aSet0(xS)|~aElement0(xx)|pd0_0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),xx,xS))),
% 2.79/0.75 inference(resolution,[status(thm)],[f455,f117])).
% 2.79/0.75 fof(f997,plain,(
% 2.79/0.75 spl0_109|~spl0_3|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f996,f993,f134,f126])).
% 2.79/0.75 fof(f998,plain,(
% 2.79/0.75 spl0_110 <=> ~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1001,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|~aSet0(sdtmndt0(xS,xx))|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtpldt0(sdtmndt0(xS,xx),xx))|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f455,f190])).
% 2.79/0.75 fof(f1002,plain,(
% 2.79/0.75 spl0_110|~spl0_13|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1001,f998,f212,f126])).
% 2.79/0.75 fof(f1003,plain,(
% 2.79/0.75 spl0_111 <=> ~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|aElement0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1006,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|~aSet0(sdtmndt0(xS,xx))|aElement0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)))),
% 2.79/0.75 inference(resolution,[status(thm)],[f455,f28])).
% 2.79/0.75 fof(f1007,plain,(
% 2.79/0.75 spl0_111|~spl0_13),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1006,f1003,f212])).
% 2.79/0.75 fof(f1219,plain,(
% 2.79/0.75 ![X0,X1]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),X1,xS)|sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0))),
% 2.79/0.75 inference(resolution,[status(thm)],[f503,f409])).
% 2.79/0.75 fof(f1220,plain,(
% 2.79/0.75 ![X0,X1]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),X1,xS)|sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0))),
% 2.79/0.75 inference(duplicate_literals_removal,[status(esa)],[f1219])).
% 2.79/0.75 fof(f1221,plain,(
% 2.79/0.75 ![X0,X1]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),X1,sdtpldt0(sdtmndt0(xS,xx),xx))|sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0))),
% 2.79/0.75 inference(resolution,[status(thm)],[f503,f408])).
% 2.79/0.75 fof(f1222,plain,(
% 2.79/0.75 ![X0,X1]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),X1,sdtpldt0(sdtmndt0(xS,xx),xx))|sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0))),
% 2.79/0.75 inference(duplicate_literals_removal,[status(esa)],[f1221])).
% 2.79/0.75 fof(f1223,plain,(
% 2.79/0.75 ![X0,X1,X2]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),X1,sdtpldt0(X2,sk0_1(sdtmndt0(xS,xx),X0)))|sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X2))),
% 2.79/0.75 inference(resolution,[status(thm)],[f503,f425])).
% 2.79/0.75 fof(f1224,plain,(
% 2.79/0.75 ![X0,X1,X2]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),X1,sdtpldt0(X2,sk0_1(sdtmndt0(xS,xx),X0)))|sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X2))),
% 2.79/0.75 inference(duplicate_literals_removal,[status(esa)],[f1223])).
% 2.79/0.75 fof(f1225,plain,(
% 2.79/0.75 ![X0,X1]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),X1,sdtmndt0(xS,xx))|sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0))),
% 2.79/0.75 inference(resolution,[status(thm)],[f503,f186])).
% 2.79/0.75 fof(f1226,plain,(
% 2.79/0.75 ![X0,X1]: (pd0_0(sk0_1(sdtmndt0(xS,xx),X0),X1,sdtmndt0(xS,xx))|sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0))),
% 2.79/0.75 inference(duplicate_literals_removal,[status(esa)],[f1225])).
% 2.79/0.75 fof(f1228,plain,(
% 2.79/0.75 spl0_152 <=> sk0_1(sdtmndt0(xS,xx),X0)=sk0_1(sdtmndt0(xS,xx),X1)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aSubsetOf0(sdtmndt0(xS,xx),X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(xS,sk0_1(sdtmndt0(xS,xx),X1)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1231,plain,(
% 2.79/0.75 ![X0,X1]: (sk0_1(sdtmndt0(xS,xx),X0)=sk0_1(sdtmndt0(xS,xx),X1)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aSubsetOf0(sdtmndt0(xS,xx),X1)|~aSet0(xS)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(xS,sk0_1(sdtmndt0(xS,xx),X1))))),
% 2.79/0.75 inference(resolution,[status(thm)],[f1220,f421])).
% 2.79/0.75 fof(f1232,plain,(
% 2.79/0.75 spl0_152|~spl0_3),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1231,f1228,f134])).
% 2.79/0.75 fof(f1237,plain,(
% 2.79/0.75 spl0_153 <=> sk0_1(sdtmndt0(xS,xx),X0)=sk0_1(sdtmndt0(xS,xx),X1)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aSubsetOf0(sdtmndt0(xS,xx),X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),sk0_1(sdtmndt0(xS,xx),X1)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1240,plain,(
% 2.79/0.75 ![X0,X1]: (sk0_1(sdtmndt0(xS,xx),X0)=sk0_1(sdtmndt0(xS,xx),X1)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aSubsetOf0(sdtmndt0(xS,xx),X1)|~aSet0(sdtmndt0(xS,xx))|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),sk0_1(sdtmndt0(xS,xx),X1))))),
% 2.79/0.75 inference(resolution,[status(thm)],[f1226,f421])).
% 2.79/0.75 fof(f1241,plain,(
% 2.79/0.75 spl0_153|~spl0_13),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1240,f1237,f212])).
% 2.79/0.75 fof(f1242,plain,(
% 2.79/0.75 spl0_154 <=> sk0_1(sdtmndt0(xS,xx),X0)=xx|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1245,plain,(
% 2.79/0.75 ![X0]: (sk0_1(sdtmndt0(xS,xx),X0)=xx|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(sdtmndt0(xS,xx))|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),xx))|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1226,f189])).
% 2.79/0.75 fof(f1246,plain,(
% 2.79/0.75 spl0_154|~spl0_13|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1245,f1242,f212,f126])).
% 2.79/0.75 fof(f1249,plain,(
% 2.79/0.75 spl0_155 <=> sk0_1(sdtmndt0(xS,xx),X0)=sk0_1(sdtmndt0(xS,xx),X1)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aSubsetOf0(sdtmndt0(xS,xx),X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),sk0_1(sdtmndt0(xS,xx),X1)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1252,plain,(
% 2.79/0.75 ![X0,X1]: (sk0_1(sdtmndt0(xS,xx),X0)=sk0_1(sdtmndt0(xS,xx),X1)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aSubsetOf0(sdtmndt0(xS,xx),X1)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),sk0_1(sdtmndt0(xS,xx),X1))))),
% 2.79/0.75 inference(resolution,[status(thm)],[f1222,f421])).
% 2.79/0.75 fof(f1253,plain,(
% 2.79/0.75 spl0_155|~spl0_15),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1252,f1249,f222])).
% 2.79/0.75 fof(f1254,plain,(
% 2.79/0.75 spl0_156 <=> sk0_1(sdtmndt0(xS,xx),X0)=xx|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1257,plain,(
% 2.79/0.75 ![X0]: (sk0_1(sdtmndt0(xS,xx),X0)=xx|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1222,f189])).
% 2.79/0.75 fof(f1258,plain,(
% 2.79/0.75 spl0_156|~spl0_15|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1257,f1254,f222,f126])).
% 2.79/0.75 fof(f1264,plain,(
% 2.79/0.75 spl0_157 <=> sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElement0(sk0_1(sdtmndt0(xS,xx),X0))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1267,plain,(
% 2.79/0.75 spl0_158 <=> ~aSet0(X2)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1268,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|~spl0_158)),
% 2.79/0.75 inference(component_clause,[status(thm)],[f1267])).
% 2.79/0.75 fof(f1270,plain,(
% 2.79/0.75 ![X0,X1,X2]: (sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X2)|aElement0(sk0_1(sdtmndt0(xS,xx),X0)))),
% 2.79/0.75 inference(resolution,[status(thm)],[f1224,f103])).
% 2.79/0.75 fof(f1271,plain,(
% 2.79/0.75 spl0_157|spl0_158),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1270,f1264,f1267])).
% 2.79/0.75 fof(f1272,plain,(
% 2.79/0.75 spl0_159 <=> sk0_1(sdtmndt0(xS,xx),X0)=sk0_1(sdtmndt0(xS,xx),X0)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1275,plain,(
% 2.79/0.75 ![X0,X1]: (sk0_1(sdtmndt0(xS,xx),X0)=sk0_1(sdtmndt0(xS,xx),X0)|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(X1))),
% 2.79/0.75 inference(resolution,[status(thm)],[f1224,f121])).
% 2.79/0.75 fof(f1276,plain,(
% 2.79/0.75 spl0_159|spl0_158),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1275,f1272,f1267])).
% 2.79/0.75 fof(f1335,plain,(
% 2.79/0.75 spl0_169 <=> sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),xS)=xx),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1336,plain,(
% 2.79/0.75 sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),xS)=xx|~spl0_169),
% 2.79/0.75 inference(component_clause,[status(thm)],[f1335])).
% 2.79/0.75 fof(f1338,plain,(
% 2.79/0.75 ~aSet0(xS)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),xS)=xx|~aSet0(xS)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.75 inference(resolution,[status(thm)],[f991,f52])).
% 2.79/0.75 fof(f1339,plain,(
% 2.79/0.75 ~spl0_3|spl0_53|spl0_169|~spl0_15),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1338,f134,f561,f1335,f222])).
% 2.79/0.75 fof(f1342,plain,(
% 2.79/0.75 spl0_170 <=> ~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtpldt0(xS,xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1345,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0)=xx|~aSet0(xS)|aElementOf0(sk0_1(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtpldt0(xS,xx))|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f991,f190])).
% 2.79/0.75 fof(f1346,plain,(
% 2.79/0.75 spl0_170|~spl0_3|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1345,f1342,f134,f126])).
% 2.79/0.75 fof(f1618,plain,(
% 2.79/0.75 $false|~spl0_17),
% 2.79/0.75 inference(backward_subsumption_resolution,[status(thm)],[f85,f972])).
% 2.79/0.75 fof(f1619,plain,(
% 2.79/0.75 ~spl0_17),
% 2.79/0.75 inference(contradiction_clause,[status(thm)],[f1618])).
% 2.79/0.75 fof(f1621,plain,(
% 2.79/0.75 $false|~spl0_158|~spl0_63),
% 2.79/0.75 inference(forward_subsumption_resolution,[status(thm)],[f615,f1268])).
% 2.79/0.75 fof(f1622,plain,(
% 2.79/0.75 ~spl0_158|~spl0_63),
% 2.79/0.75 inference(contradiction_clause,[status(thm)],[f1621])).
% 2.79/0.75 fof(f1623,plain,(
% 2.79/0.75 spl0_207 <=> isFinite0(sdtmndt0(xS,xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1626,plain,(
% 2.79/0.75 ~aSet0(slcrc0)|isFinite0(sdtmndt0(xS,xx))|~spl0_105|~spl0_45),
% 2.79/0.75 inference(resolution,[status(thm)],[f964,f499])).
% 2.79/0.75 fof(f1627,plain,(
% 2.79/0.75 ~spl0_12|spl0_207|~spl0_105|~spl0_45),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1626,f207,f1623,f956,f498])).
% 2.79/0.75 fof(f1645,plain,(
% 2.79/0.75 ![X0]: (~aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),xx))|aElement0(X0)|~spl0_1|~spl0_63)),
% 2.79/0.75 inference(resolution,[status(thm)],[f192,f615])).
% 2.79/0.75 fof(f1647,plain,(
% 2.79/0.75 spl0_208 <=> ~aElementOf0(X0,xS)|aElement0(X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1652,plain,(
% 2.79/0.75 spl0_209 <=> ~aElementOf0(X0,slcrc0)|aElement0(X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1657,plain,(
% 2.79/0.75 spl0_210 <=> ~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,sdtmndt0(xS,xx))|X0=xx),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1660,plain,(
% 2.79/0.75 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,sdtmndt0(xS,xx))|X0=xx|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f190,f97])).
% 2.79/0.75 fof(f1661,plain,(
% 2.79/0.75 ~spl0_13|spl0_210|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1660,f212,f1657,f126])).
% 2.79/0.75 fof(f1662,plain,(
% 2.79/0.75 spl0_211 <=> ~aElementOf0(X0,sdtmndt0(xS,xx))|aElement0(X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1665,plain,(
% 2.79/0.75 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aElementOf0(X0,sdtmndt0(xS,xx))|aElement0(X0)|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f190,f96])).
% 2.79/0.75 fof(f1666,plain,(
% 2.79/0.75 ~spl0_13|spl0_211|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1665,f212,f1662,f126])).
% 2.79/0.75 fof(f1676,plain,(
% 2.79/0.75 spl0_212 <=> aElement0(X0)|~aElementOf0(X0,sdtpldt0(xS,xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1677,plain,(
% 2.79/0.75 ![X0]: (aElement0(X0)|~aElementOf0(X0,sdtpldt0(xS,xx))|~spl0_212)),
% 2.79/0.75 inference(component_clause,[status(thm)],[f1676])).
% 2.79/0.75 fof(f1679,plain,(
% 2.79/0.75 ![X0]: (aElement0(X0)|~aSet0(sdtpldt0(xS,xx))|~aElementOf0(X0,sdtpldt0(xS,xx))|~spl0_63|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1645,f190])).
% 2.79/0.75 fof(f1680,plain,(
% 2.79/0.75 spl0_212|~spl0_63|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1679,f1676,f614,f126])).
% 2.79/0.75 fof(f1683,plain,(
% 2.79/0.75 ![X0]: (aElement0(X0)|~aSet0(xS)|~aElementOf0(X0,xS)|~spl0_212|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1677,f190])).
% 2.79/0.75 fof(f1684,plain,(
% 2.79/0.75 spl0_208|~spl0_3|~spl0_212|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1683,f1647,f134,f1676,f126])).
% 2.79/0.75 fof(f1694,plain,(
% 2.79/0.75 ![X0]: (~aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),xx))|aElementOf0(X0,sdtpldt0(xS,xx))|X0=xx|~spl0_1|~spl0_63)),
% 2.79/0.75 inference(resolution,[status(thm)],[f191,f615])).
% 2.79/0.75 fof(f1699,plain,(
% 2.79/0.75 spl0_213 <=> aElement0(sk0_0(sdtpldt0(sdtpldt0(xS,xx),xx)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1702,plain,(
% 2.79/0.75 sdtpldt0(sdtpldt0(xS,xx),xx)=slcrc0|~aSet0(sdtpldt0(xS,xx))|aElement0(sk0_0(sdtpldt0(sdtpldt0(xS,xx),xx)))|~spl0_1|~spl0_63),
% 2.79/0.75 inference(resolution,[status(thm)],[f485,f1645])).
% 2.79/0.75 fof(f1703,plain,(
% 2.79/0.75 spl0_82|~spl0_63|spl0_213|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1702,f739,f614,f1699,f126])).
% 2.79/0.75 fof(f1731,plain,(
% 2.79/0.75 ![X0]: (~aElementOf0(X0,xS)|aElement0(X0))),
% 2.79/0.75 inference(resolution,[status(thm)],[f28,f85])).
% 2.79/0.75 fof(f1735,plain,(
% 2.79/0.75 ![X0]: (~aElementOf0(X0,sdtpldt0(slcrc0,xx))|aElement0(X0)|~spl0_18)),
% 2.79/0.75 inference(resolution,[status(thm)],[f28,f259])).
% 2.79/0.75 fof(f1737,plain,(
% 2.79/0.75 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~aElementOf0(X2,sdtmndt0(X0,X1))|aElement0(X2))),
% 2.79/0.75 inference(resolution,[status(thm)],[f116,f28])).
% 2.79/0.75 fof(f1738,plain,(
% 2.79/0.75 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~aElementOf0(X2,sdtpldt0(sdtmndt0(X0,X1),xx))|aElementOf0(X2,sdtmndt0(X0,X1))|X2=xx|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f116,f191])).
% 2.79/0.75 fof(f1804,plain,(
% 2.79/0.75 spl0_219 <=> ~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1807,plain,(
% 2.79/0.75 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~spl0_40)),
% 2.79/0.75 inference(resolution,[status(thm)],[f50,f451])).
% 2.79/0.75 fof(f1808,plain,(
% 2.79/0.75 ~spl0_15|spl0_219|~spl0_40),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1807,f222,f1804,f450])).
% 2.79/0.75 fof(f1811,plain,(
% 2.79/0.75 spl0_220 <=> ~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,sdtmndt0(xS,xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1814,plain,(
% 2.79/0.75 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,sdtmndt0(xS,xx))|~spl0_34)),
% 2.79/0.75 inference(resolution,[status(thm)],[f50,f404])).
% 2.79/0.75 fof(f1815,plain,(
% 2.79/0.75 ~spl0_13|spl0_220|~spl0_34),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1814,f212,f1811,f403])).
% 2.79/0.75 fof(f1818,plain,(
% 2.79/0.75 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X2)|~aSubsetOf0(X2,X0)|aSubsetOf0(X1,X0))),
% 2.79/0.75 inference(forward_subsumption_resolution,[status(thm)],[f170,f49])).
% 2.79/0.75 fof(f1819,plain,(
% 2.79/0.75 spl0_221 <=> ~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,slcrc0)|~aSet0(X0)|X0=slcrc0),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1822,plain,(
% 2.79/0.75 ![X0,X1]: (~aSet0(slcrc0)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,slcrc0)|~aSet0(X0)|X0=slcrc0)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1818,f489])).
% 2.79/0.75 fof(f1823,plain,(
% 2.79/0.75 ~spl0_12|spl0_221),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1822,f207,f1819])).
% 2.79/0.75 fof(f1824,plain,(
% 2.79/0.75 spl0_222 <=> ~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,slcrc0)|isFinite0(X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1827,plain,(
% 2.79/0.75 ![X0,X1]: (~aSet0(slcrc0)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,slcrc0)|isFinite0(X0)|~spl0_45)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1818,f499])).
% 2.79/0.75 fof(f1828,plain,(
% 2.79/0.75 ~spl0_12|spl0_222|~spl0_45),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1827,f207,f1824,f498])).
% 2.79/0.75 fof(f1831,plain,(
% 2.79/0.75 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X2)|~aSubsetOf0(X2,X0)|~aSet0(X0)|aSet0(X1))),
% 2.79/0.75 inference(resolution,[status(thm)],[f1818,f49])).
% 2.79/0.75 fof(f1832,plain,(
% 2.79/0.75 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X2)|~aSubsetOf0(X2,X0)|aSet0(X1))),
% 2.79/0.75 inference(duplicate_literals_removal,[status(esa)],[f1831])).
% 2.79/0.75 fof(f1833,plain,(
% 2.79/0.75 spl0_223 <=> ~aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aSet0(X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1836,plain,(
% 2.79/0.75 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aSet0(X0)|~spl0_40)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1832,f451])).
% 2.79/0.75 fof(f1837,plain,(
% 2.79/0.75 ~spl0_15|spl0_223|~spl0_40),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1836,f222,f1833,f450])).
% 2.79/0.75 fof(f1840,plain,(
% 2.79/0.75 spl0_224 <=> ~aSubsetOf0(X0,sdtmndt0(xS,xx))|aSet0(X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1843,plain,(
% 2.79/0.75 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aSubsetOf0(X0,sdtmndt0(xS,xx))|aSet0(X0)|~spl0_34)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1832,f404])).
% 2.79/0.75 fof(f1844,plain,(
% 2.79/0.75 ~spl0_13|spl0_224|~spl0_34),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1843,f212,f1840,f403])).
% 2.79/0.75 fof(f1870,plain,(
% 2.79/0.75 spl0_225 <=> sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aElement0(X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(xS,X1))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1873,plain,(
% 2.79/0.75 ![X0,X1]: (sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(xS)|~aElement0(X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(xS,X1)))),
% 2.79/0.75 inference(resolution,[status(thm)],[f1220,f118])).
% 2.79/0.75 fof(f1874,plain,(
% 2.79/0.75 spl0_225|~spl0_3),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1873,f1870,f134])).
% 2.79/0.75 fof(f1896,plain,(
% 2.79/0.75 ![X0]: (aElement0(X0)|~aSet0(slcrc0)|~aElementOf0(X0,slcrc0)|~spl0_18|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1735,f190])).
% 2.79/0.75 fof(f1897,plain,(
% 2.79/0.75 spl0_209|~spl0_12|~spl0_18|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1896,f1652,f207,f258,f126])).
% 2.79/0.75 fof(f1926,plain,(
% 2.79/0.75 spl0_228 <=> ~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(xS,xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1929,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(xS)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(xS,xx))|~spl0_49|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f523,f189])).
% 2.79/0.75 fof(f1930,plain,(
% 2.79/0.75 spl0_228|~spl0_3|~spl0_49|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1929,f1926,f134,f522,f126])).
% 2.79/0.75 fof(f1965,plain,(
% 2.79/0.75 spl0_231 <=> aElementOf0(X0,sdtpldt0(xS,xx))|X0=xx|~aElementOf0(X0,sdtpldt0(xS,xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f1968,plain,(
% 2.79/0.75 ![X0]: (aElementOf0(X0,sdtpldt0(xS,xx))|X0=xx|~aSet0(sdtpldt0(xS,xx))|~aElementOf0(X0,sdtpldt0(xS,xx))|~spl0_63|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1694,f190])).
% 2.79/0.75 fof(f1969,plain,(
% 2.79/0.75 spl0_231|~spl0_63|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f1968,f1965,f614,f126])).
% 2.79/0.75 fof(f1975,plain,(
% 2.79/0.75 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,sdtpldt0(sdtmndt0(X0,xx),xx))|aElementOf0(X1,sdtmndt0(X0,xx))|X1=xx|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f1738,f127])).
% 2.79/0.75 fof(f1998,plain,(
% 2.79/0.75 spl0_233 <=> ~aSubsetOf0(X0,xS)|aSet0(X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2003,plain,(
% 2.79/0.75 spl0_234 <=> ~aElementOf0(X0,xS)|aElementOf0(X0,xS)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2006,plain,(
% 2.79/0.75 ![X0]: (~aSet0(xS)|~aElementOf0(X0,xS)|aElementOf0(X0,xS)|~spl0_46)),
% 2.79/0.75 inference(resolution,[status(thm)],[f507,f50])).
% 2.79/0.75 fof(f2007,plain,(
% 2.79/0.75 ~spl0_3|spl0_234|~spl0_46),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2006,f134,f2003,f506])).
% 2.79/0.75 fof(f2015,plain,(
% 2.79/0.75 spl0_236 <=> aElement0(sk0_1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2018,plain,(
% 2.79/0.75 aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|aElement0(sk0_1(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|~spl0_48|~spl0_15),
% 2.79/0.75 inference(resolution,[status(thm)],[f518,f223])).
% 2.79/0.75 fof(f2019,plain,(
% 2.79/0.75 spl0_75|spl0_236|~spl0_48|~spl0_15),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2018,f699,f2015,f517,f222])).
% 2.79/0.75 fof(f2020,plain,(
% 2.79/0.75 spl0_237 <=> aSubsetOf0(xS,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2023,plain,(
% 2.79/0.75 spl0_238 <=> aElement0(sk0_1(xS,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2026,plain,(
% 2.79/0.75 aSubsetOf0(xS,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|aElement0(sk0_1(xS,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)))|~spl0_48|~spl0_26),
% 2.79/0.75 inference(resolution,[status(thm)],[f518,f338])).
% 2.79/0.75 fof(f2027,plain,(
% 2.79/0.75 spl0_237|spl0_238|~spl0_48|~spl0_26),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2026,f2020,f2023,f517,f337])).
% 2.79/0.75 fof(f2028,plain,(
% 2.79/0.75 spl0_239 <=> aSubsetOf0(xS,sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2031,plain,(
% 2.79/0.75 spl0_240 <=> aElement0(sk0_1(xS,sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2034,plain,(
% 2.79/0.75 aSubsetOf0(xS,sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx))|aElement0(sk0_1(xS,sdtpldt0(sdtpldt0(sdtpldt0(xS,xx),xx),xx)))|~spl0_48|~spl0_95),
% 2.79/0.75 inference(resolution,[status(thm)],[f518,f860])).
% 2.79/0.75 fof(f2035,plain,(
% 2.79/0.75 spl0_239|spl0_240|~spl0_48|~spl0_95),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2034,f2028,f2031,f517,f859])).
% 2.79/0.75 fof(f2036,plain,(
% 2.79/0.75 spl0_241 <=> aSubsetOf0(xS,sdtpldt0(sdtpldt0(xS,xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2037,plain,(
% 2.79/0.75 aSubsetOf0(xS,sdtpldt0(sdtpldt0(xS,xx),xx))|~spl0_241),
% 2.79/0.75 inference(component_clause,[status(thm)],[f2036])).
% 2.79/0.75 fof(f2039,plain,(
% 2.79/0.75 spl0_242 <=> aElement0(sk0_1(xS,sdtpldt0(sdtpldt0(xS,xx),xx)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2042,plain,(
% 2.79/0.75 aSubsetOf0(xS,sdtpldt0(sdtpldt0(xS,xx),xx))|aElement0(sk0_1(xS,sdtpldt0(sdtpldt0(xS,xx),xx)))|~spl0_48|~spl0_78),
% 2.79/0.75 inference(resolution,[status(thm)],[f518,f719])).
% 2.79/0.75 fof(f2043,plain,(
% 2.79/0.75 spl0_241|spl0_242|~spl0_48|~spl0_78),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2042,f2036,f2039,f517,f718])).
% 2.79/0.75 fof(f2044,plain,(
% 2.79/0.75 spl0_243 <=> aSubsetOf0(xS,sdtpldt0(slcrc0,xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2047,plain,(
% 2.79/0.75 spl0_244 <=> aElement0(sk0_1(xS,sdtpldt0(slcrc0,xx)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2050,plain,(
% 2.79/0.75 aSubsetOf0(xS,sdtpldt0(slcrc0,xx))|aElement0(sk0_1(xS,sdtpldt0(slcrc0,xx)))|~spl0_48|~spl0_18),
% 2.79/0.75 inference(resolution,[status(thm)],[f518,f259])).
% 2.79/0.75 fof(f2051,plain,(
% 2.79/0.75 spl0_243|spl0_244|~spl0_48|~spl0_18),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2050,f2044,f2047,f517,f258])).
% 2.79/0.75 fof(f2052,plain,(
% 2.79/0.75 spl0_245 <=> aSubsetOf0(xS,sdtpldt0(xS,xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2053,plain,(
% 2.79/0.75 aSubsetOf0(xS,sdtpldt0(xS,xx))|~spl0_245),
% 2.79/0.75 inference(component_clause,[status(thm)],[f2052])).
% 2.79/0.75 fof(f2061,plain,(
% 2.79/0.75 spl0_247 <=> aElement0(sk0_1(xS,sdtmndt0(xS,xx)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2064,plain,(
% 2.79/0.75 aSubsetOf0(xS,sdtmndt0(xS,xx))|aElement0(sk0_1(xS,sdtmndt0(xS,xx)))|~spl0_48|~spl0_13),
% 2.79/0.75 inference(resolution,[status(thm)],[f518,f213])).
% 2.79/0.75 fof(f2065,plain,(
% 2.79/0.75 spl0_70|spl0_247|~spl0_48|~spl0_13),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2064,f657,f2061,f517,f212])).
% 2.79/0.75 fof(f2067,plain,(
% 2.79/0.75 $false|~spl0_76),
% 2.79/0.75 inference(forward_subsumption_resolution,[status(thm)],[f703,f100])).
% 2.79/0.75 fof(f2068,plain,(
% 2.79/0.75 ~spl0_76),
% 2.79/0.75 inference(contradiction_clause,[status(thm)],[f2067])).
% 2.79/0.75 fof(f2102,plain,(
% 2.79/0.75 ~aElementOf0(xx,xS)|~spl0_71),
% 2.79/0.75 inference(backward_demodulation,[status(thm)],[f661,f119])).
% 2.79/0.75 fof(f2103,plain,(
% 2.79/0.75 $false|~spl0_71),
% 2.79/0.75 inference(forward_subsumption_resolution,[status(thm)],[f2102,f86])).
% 2.79/0.75 fof(f2104,plain,(
% 2.79/0.75 ~spl0_71),
% 2.79/0.75 inference(contradiction_clause,[status(thm)],[f2103])).
% 2.79/0.75 fof(f2111,plain,(
% 2.79/0.75 ![X0]: (~aSet0(sdtpldt0(xS,xx))|~aSubsetOf0(X0,xS)|aSet0(X0)|~spl0_245)),
% 2.79/0.75 inference(resolution,[status(thm)],[f2053,f1832])).
% 2.79/0.75 fof(f2112,plain,(
% 2.79/0.75 ~spl0_63|spl0_233|~spl0_245),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2111,f614,f1998,f2052])).
% 2.79/0.75 fof(f2113,plain,(
% 2.79/0.75 spl0_248 <=> ~aElementOf0(X0,xS)|aElementOf0(X0,sdtpldt0(xS,xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2114,plain,(
% 2.79/0.75 ![X0]: (~aElementOf0(X0,xS)|aElementOf0(X0,sdtpldt0(xS,xx))|~spl0_248)),
% 2.79/0.75 inference(component_clause,[status(thm)],[f2113])).
% 2.79/0.75 fof(f2116,plain,(
% 2.79/0.75 ![X0]: (~aSet0(sdtpldt0(xS,xx))|~aElementOf0(X0,xS)|aElementOf0(X0,sdtpldt0(xS,xx))|~spl0_245)),
% 2.79/0.75 inference(resolution,[status(thm)],[f2053,f50])).
% 2.79/0.75 fof(f2117,plain,(
% 2.79/0.75 ~spl0_63|spl0_248|~spl0_245),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2116,f614,f2113,f2052])).
% 2.79/0.75 fof(f2158,plain,(
% 2.79/0.75 spl0_249 <=> ~aElementOf0(X0,xS)|aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),xx))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2161,plain,(
% 2.79/0.75 ![X0]: (~aSet0(sdtpldt0(sdtpldt0(xS,xx),xx))|~aElementOf0(X0,xS)|aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),xx))|~spl0_241)),
% 2.79/0.75 inference(resolution,[status(thm)],[f2037,f50])).
% 2.79/0.75 fof(f2162,plain,(
% 2.79/0.75 ~spl0_78|spl0_249|~spl0_241),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2161,f718,f2158,f2036])).
% 2.79/0.75 fof(f2180,plain,(
% 2.79/0.75 aElementOf0(sk0_0(xS),sdtpldt0(xS,xx))|xS=slcrc0|~aSet0(xS)|~spl0_248),
% 2.79/0.75 inference(resolution,[status(thm)],[f2114,f37])).
% 2.79/0.75 fof(f2181,plain,(
% 2.79/0.75 spl0_30|spl0_4|~spl0_3|~spl0_248),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2180,f373,f143,f134,f2113])).
% 2.79/0.75 fof(f2298,plain,(
% 2.79/0.75 spl0_258 <=> sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aElement0(X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),X1))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2301,plain,(
% 2.79/0.75 ![X0,X1]: (sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(sdtmndt0(xS,xx))|~aElement0(X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtmndt0(xS,xx),X1)))),
% 2.79/0.75 inference(resolution,[status(thm)],[f1226,f118])).
% 2.79/0.75 fof(f2302,plain,(
% 2.79/0.75 spl0_258|~spl0_13),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2301,f2298,f212])).
% 2.79/0.75 fof(f2313,plain,(
% 2.79/0.75 spl0_259 <=> sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aElement0(X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2316,plain,(
% 2.79/0.75 ![X0,X1]: (sk0_1(sdtmndt0(xS,xx),X0)=X1|~aSet0(X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X1)|aElementOf0(sk0_1(sdtmndt0(xS,xx),X0),sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)))),
% 2.79/0.75 inference(resolution,[status(thm)],[f1222,f118])).
% 2.79/0.75 fof(f2317,plain,(
% 2.79/0.75 spl0_259|~spl0_15),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2316,f2313,f222])).
% 2.79/0.75 fof(f2343,plain,(
% 2.79/0.75 spl0_261 <=> aSubsetOf0(xS,slcrc0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2344,plain,(
% 2.79/0.75 aSubsetOf0(xS,slcrc0)|~spl0_261),
% 2.79/0.75 inference(component_clause,[status(thm)],[f2343])).
% 2.79/0.75 fof(f2346,plain,(
% 2.79/0.75 spl0_262 <=> aElement0(sk0_1(xS,slcrc0))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2349,plain,(
% 2.79/0.75 aSubsetOf0(xS,slcrc0)|aElement0(sk0_1(xS,slcrc0))|~spl0_48),
% 2.79/0.75 inference(resolution,[status(thm)],[f107,f518])).
% 2.79/0.75 fof(f2350,plain,(
% 2.79/0.75 spl0_261|spl0_262|~spl0_48),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2349,f2343,f2346,f517])).
% 2.79/0.75 fof(f2359,plain,(
% 2.79/0.75 spl0_263 <=> ~aSubsetOf0(X1,slcrc0)|aSet0(X1)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2362,plain,(
% 2.79/0.75 ![X0,X1]: (~aSet0(X0)|~aSet0(X0)|~aSubsetOf0(X1,slcrc0)|aSet0(X1))),
% 2.79/0.75 inference(resolution,[status(thm)],[f182,f1832])).
% 2.79/0.75 fof(f2363,plain,(
% 2.79/0.75 spl0_17|spl0_263),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2362,f249,f2359])).
% 2.79/0.75 fof(f2368,plain,(
% 2.79/0.75 ![X0]: (aElementOf0(X0,sdtmndt0(xS,xx))|~aElementOf0(X0,xS)|X0=xx)),
% 2.79/0.75 inference(backward_subsumption_resolution,[status(thm)],[f94,f1731])).
% 2.79/0.75 fof(f2371,plain,(
% 2.79/0.75 aElementOf0(sk0_0(xS),sdtmndt0(xS,xx))|sk0_0(xS)=xx|~spl0_5),
% 2.79/0.75 inference(resolution,[status(thm)],[f2368,f147])).
% 2.79/0.75 fof(f2372,plain,(
% 2.79/0.75 spl0_32|spl0_33|~spl0_5),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2371,f390,f393,f146])).
% 2.79/0.75 fof(f2375,plain,(
% 2.79/0.75 aElementOf0(xx,sdtmndt0(xS,xx))|xx=xx),
% 2.79/0.75 inference(resolution,[status(thm)],[f2368,f86])).
% 2.79/0.75 fof(f2376,plain,(
% 2.79/0.75 spl0_0|spl0_2),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2375,f123,f129])).
% 2.79/0.75 fof(f2385,plain,(
% 2.79/0.75 spl0_264 <=> aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),xx),xS)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2388,plain,(
% 2.79/0.75 spl0_265 <=> sdtpldt0(sdtpldt0(xS,xx),xx)=xS),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2391,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(sdtpldt0(xS,xx),xx))|~aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),xx),xS)|sdtpldt0(sdtpldt0(xS,xx),xx)=xS|~spl0_241),
% 2.79/0.75 inference(resolution,[status(thm)],[f169,f2037])).
% 2.79/0.75 fof(f2392,plain,(
% 2.79/0.75 ~spl0_78|~spl0_264|spl0_265|~spl0_241),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2391,f718,f2385,f2388,f2036])).
% 2.79/0.75 fof(f2401,plain,(
% 2.79/0.75 spl0_268 <=> xS=xS),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2404,plain,(
% 2.79/0.75 ~aSet0(xS)|~aSubsetOf0(xS,xS)|xS=xS|~spl0_46),
% 2.79/0.75 inference(resolution,[status(thm)],[f169,f507])).
% 2.79/0.75 fof(f2405,plain,(
% 2.79/0.75 ~spl0_3|~spl0_46|spl0_268),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2404,f134,f506,f2401])).
% 2.79/0.75 fof(f2408,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|aElementOf0(sk0_1(xS,X0),sdtmndt0(xS,xx))|sk0_1(xS,X0)=xx)),
% 2.79/0.75 inference(resolution,[status(thm)],[f183,f2368])).
% 2.79/0.75 fof(f2409,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|sk0_1(xS,X0)=xx|aElementOf0(sk0_1(xS,X0),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 2.79/0.75 inference(resolution,[status(thm)],[f2408,f171])).
% 2.79/0.75 fof(f2411,plain,(
% 2.79/0.75 spl0_269 <=> ~aSet0(X0)|aSubsetOf0(xS,X0)|sk0_1(xS,X0)=xx|aElement0(sk0_1(xS,X0))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2414,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|sk0_1(xS,X0)=xx|~aSet0(xS)|~aElement0(xx)|aElement0(sk0_1(xS,X0)))),
% 2.79/0.75 inference(resolution,[status(thm)],[f2408,f1737])).
% 2.79/0.75 fof(f2415,plain,(
% 2.79/0.75 spl0_269|~spl0_3|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2414,f2411,f134,f126])).
% 2.79/0.75 fof(f2418,plain,(
% 2.79/0.75 spl0_270 <=> ~aSet0(X0)|aSubsetOf0(xS,X0)|sk0_1(xS,X0)=xx|aElementOf0(sk0_1(xS,X0),sdtmndt0(xS,xx))|sk0_1(xS,X0)=xx),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2421,plain,(
% 2.79/0.75 ![X0]: (~aSet0(X0)|aSubsetOf0(xS,X0)|sk0_1(xS,X0)=xx|~aSet0(xS)|aElementOf0(sk0_1(xS,X0),sdtmndt0(xS,xx))|sk0_1(xS,X0)=xx|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f2409,f1975])).
% 2.79/0.75 fof(f2422,plain,(
% 2.79/0.75 spl0_270|~spl0_3|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2421,f2418,f134,f126])).
% 2.79/0.75 fof(f2432,plain,(
% 2.79/0.75 spl0_271 <=> sk0_1(xS,sdtmndt0(xS,xx))=xx),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2433,plain,(
% 2.79/0.75 sk0_1(xS,sdtmndt0(xS,xx))=xx|~spl0_271),
% 2.79/0.75 inference(component_clause,[status(thm)],[f2432])).
% 2.79/0.75 fof(f2435,plain,(
% 2.79/0.75 ~aSet0(sdtmndt0(xS,xx))|aSubsetOf0(xS,sdtmndt0(xS,xx))|~aSet0(xS)|~aSet0(sdtmndt0(xS,xx))|aSubsetOf0(xS,sdtmndt0(xS,xx))|sk0_1(xS,sdtmndt0(xS,xx))=xx),
% 2.79/0.75 inference(resolution,[status(thm)],[f52,f2408])).
% 2.79/0.75 fof(f2436,plain,(
% 2.79/0.75 ~spl0_13|spl0_70|~spl0_3|spl0_271),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2435,f212,f657,f134,f2432])).
% 2.79/0.75 fof(f2439,plain,(
% 2.79/0.75 spl0_272 <=> sk0_1(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2440,plain,(
% 2.79/0.75 sk0_1(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|~spl0_272),
% 2.79/0.75 inference(component_clause,[status(thm)],[f2439])).
% 2.79/0.75 fof(f2442,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(xS)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|sk0_1(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx),
% 2.79/0.75 inference(resolution,[status(thm)],[f52,f2409])).
% 2.79/0.75 fof(f2443,plain,(
% 2.79/0.75 ~spl0_15|spl0_75|~spl0_3|spl0_272),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2442,f222,f699,f134,f2439])).
% 2.79/0.75 fof(f2444,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(xS,xx))|aSubsetOf0(xS,sdtpldt0(xS,xx))|~aSet0(xS)|~aSet0(sdtpldt0(xS,xx))|aSubsetOf0(xS,sdtpldt0(xS,xx))|~spl0_47),
% 2.79/0.75 inference(resolution,[status(thm)],[f52,f513])).
% 2.79/0.75 fof(f2445,plain,(
% 2.79/0.75 ~spl0_63|spl0_245|~spl0_3|~spl0_47),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2444,f614,f2052,f134,f512])).
% 2.79/0.75 fof(f2464,plain,(
% 2.79/0.75 spl0_273 <=> pd0_0(sk0_1(xS,X0),xx,xS)|~aSet0(X0)|aSubsetOf0(xS,X0)|sk0_1(xS,X0)=xx),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2467,plain,(
% 2.79/0.75 ![X0]: (~aSet0(xS)|~aElement0(xx)|pd0_0(sk0_1(xS,X0),xx,xS)|~aSet0(X0)|aSubsetOf0(xS,X0)|sk0_1(xS,X0)=xx)),
% 2.79/0.75 inference(resolution,[status(thm)],[f117,f2408])).
% 2.79/0.75 fof(f2468,plain,(
% 2.79/0.75 ~spl0_3|~spl0_1|spl0_273),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2467,f134,f126,f2464])).
% 2.79/0.75 fof(f2485,plain,(
% 2.79/0.75 ~aSet0(sdtmndt0(xS,xx))|aSubsetOf0(xS,sdtmndt0(xS,xx))|aElementOf0(xx,xS)|~spl0_271),
% 2.79/0.75 inference(paramodulation,[status(thm)],[f2433,f183])).
% 2.79/0.75 fof(f2486,plain,(
% 2.79/0.75 ~spl0_13|spl0_70|spl0_62|~spl0_271),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2485,f212,f657,f607,f2432])).
% 2.79/0.75 fof(f2514,plain,(
% 2.79/0.75 spl0_275 <=> sdtmndt0(X0,xx)=slcrc0|~aSet0(X0)|~aSet0(X0)|pd0_0(sk0_0(sdtmndt0(X0,xx)),xx,X0)),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2517,plain,(
% 2.79/0.75 ![X0]: (sdtmndt0(X0,xx)=slcrc0|~aSet0(X0)|~aSet0(X0)|~aElement0(xx)|pd0_0(sk0_0(sdtmndt0(X0,xx)),xx,X0)|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f534,f117])).
% 2.79/0.75 fof(f2518,plain,(
% 2.79/0.75 spl0_275|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2517,f2514,f126])).
% 2.79/0.75 fof(f2519,plain,(
% 2.79/0.75 spl0_276 <=> sdtmndt0(X0,xx)=slcrc0|~aSet0(X0)|~aSet0(X0)|aElement0(sk0_0(sdtmndt0(X0,xx)))),
% 2.79/0.75 introduced(split_symbol_definition)).
% 2.79/0.75 fof(f2522,plain,(
% 2.79/0.75 ![X0]: (sdtmndt0(X0,xx)=slcrc0|~aSet0(X0)|~aSet0(X0)|~aElement0(xx)|aElement0(sk0_0(sdtmndt0(X0,xx)))|~spl0_1)),
% 2.79/0.75 inference(resolution,[status(thm)],[f534,f1737])).
% 2.79/0.75 fof(f2523,plain,(
% 2.79/0.75 spl0_276|~spl0_1),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2522,f2519,f126])).
% 2.79/0.75 fof(f2526,plain,(
% 2.79/0.75 ~aSet0(xS)|xS=slcrc0|~spl0_261),
% 2.79/0.75 inference(resolution,[status(thm)],[f2344,f489])).
% 2.79/0.75 fof(f2527,plain,(
% 2.79/0.75 ~spl0_3|spl0_4|~spl0_261),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2526,f134,f143,f2343])).
% 2.79/0.75 fof(f2559,plain,(
% 2.79/0.75 ~aSet0(xS)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(xx,xS)|~spl0_169),
% 2.79/0.75 inference(paramodulation,[status(thm)],[f1336,f52])).
% 2.79/0.75 fof(f2560,plain,(
% 2.79/0.75 ~spl0_3|spl0_53|~spl0_15|~spl0_62|~spl0_169),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2559,f134,f561,f222,f607,f1335])).
% 2.79/0.75 fof(f2591,plain,(
% 2.79/0.75 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(xS)|~aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~spl0_272),
% 2.79/0.75 inference(paramodulation,[status(thm)],[f2440,f52])).
% 2.79/0.75 fof(f2592,plain,(
% 2.79/0.75 ~spl0_15|spl0_75|~spl0_3|~spl0_25|~spl0_272),
% 2.79/0.75 inference(split_clause,[status(thm)],[f2591,f222,f699,f134,f330,f2439])).
% 2.79/0.75 fof(f2593,plain,(
% 2.79/0.75 $false|~spl0_1|spl0_25),
% 2.79/0.75 inference(forward_subsumption_resolution,[status(thm)],[f332,f188])).
% 2.79/0.75 fof(f2594,plain,(
% 2.79/0.75 ~spl0_1|spl0_25),
% 2.79/0.75 inference(contradiction_clause,[status(thm)],[f2593])).
% 2.79/0.75 fof(f2595,plain,(
% 2.79/0.75 $false),
% 2.79/0.75 inference(sat_refutation,[status(thm)],[f138,f140,f142,f150,f158,f235,f237,f270,f277,f284,f289,f301,f304,f306,f344,f348,f357,f361,f407,f415,f430,f437,f444,f446,f454,f461,f471,f473,f480,f495,f502,f510,f516,f521,f526,f539,f545,f621,f625,f642,f646,f656,f664,f669,f683,f688,f706,f725,f729,f746,f750,f810,f815,f839,f866,f870,f887,f891,f940,f963,f969,f997,f1002,f1007,f1232,f1241,f1246,f1253,f1258,f1271,f1276,f1339,f1346,f1619,f1622,f1627,f1661,f1666,f1680,f1684,f1703,f1808,f1815,f1823,f1828,f1837,f1844,f1874,f1897,f1930,f1969,f2007,f2019,f2027,f2035,f2043,f2051,f2065,f2068,f2104,f2112,f2117,f2162,f2181,f2302,f2317,f2350,f2363,f2372,f2376,f2392,f2405,f2415,f2422,f2436,f2443,f2445,f2468,f2486,f2518,f2523,f2527,f2560,f2592,f2594])).
% 2.79/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 2.79/0.75 % Elapsed time: 0.400410 seconds
% 2.79/0.75 % CPU time: 3.068989 seconds
% 2.79/0.75 % Total memory used: 86.325 MB
% 2.79/0.75 % Net memory used: 84.803 MB
%------------------------------------------------------------------------------