%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM534+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:43:08 PM UTC 2026
% Result : Theorem 138.16s 17.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM534+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:38:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 138.16/17.95 % Refutation found
% 138.16/17.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 138.16/17.95 % SZS output start CNFRefutation for theBenchmark
% 138.16/17.95 fof(f3,axiom,(
% 138.16/17.95 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f5,definition,(
% 138.16/17.95 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f6,axiom,(
% 138.16/17.95 isFinite0(slcrc0) ),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f10,definition,(
% 138.16/17.95 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f12,axiom,(
% 138.16/17.95 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f13,axiom,(
% 138.16/17.95 (! [W0,W1] :( ( aSet0(W0)& aSet0(W1) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W0) )=> W0 = W1 ) ) )),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f14,axiom,(
% 138.16/17.95 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f15,definition,(
% 138.16/17.95 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtpldt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& ( aElementOf0(W3,W0)| W3 = W1 ) ) ) )) ) )) )),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f16,definition,(
% 138.16/17.95 (! [W0,W1] :( ( aSet0(W0)& aElement0(W1) )=> (! [W2] :( W2 = sdtmndt0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aElement0(W3)& aElementOf0(W3,W0)& W3 != W1 ) ) )) ) )) )),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f17,hypothesis,(
% 138.16/17.95 aSet0(xS) ),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f18,hypothesis,(
% 138.16/17.95 aElementOf0(xx,xS) ),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f19,conjecture,(
% 138.16/17.95 ( ( 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 ) ) ),
% 138.16/17.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 138.16/17.95 fof(f20,negated_conjecture,(
% 138.16/17.95 ~(( ( 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 ) ) )),
% 138.16/17.95 inference(negated_conjecture,[status(cth)],[f19])).
% 138.16/17.95 fof(f27,plain,(
% 138.16/17.95 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 138.16/17.95 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 138.16/17.95 fof(f28,plain,(
% 138.16/17.95 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f27])).
% 138.16/17.95 fof(f31,plain,(
% 138.16/17.95 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 138.16/17.95 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 138.16/17.95 fof(f32,plain,(
% 138.16/17.95 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 138.16/17.95 inference(NNF_transformation,[status(thm)],[f31])).
% 138.16/17.95 fof(f33,plain,(
% 138.16/17.95 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 138.16/17.95 inference(miniscoping,[status(thm)],[f32])).
% 138.16/17.95 fof(f34,plain,(
% 138.16/17.95 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sK0_skl(W0),W0))))),
% 138.16/17.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f33])).
% 138.16/17.95 fof(f35,plain,(
% 138.16/17.95 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f34])).
% 138.16/17.95 fof(f36,plain,(
% 138.16/17.95 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f34])).
% 138.16/17.95 fof(f37,plain,(
% 138.16/17.95 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sK0_skl(X0),X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f34])).
% 138.16/17.95 fof(f38,plain,(
% 138.16/17.95 isFinite0(slcrc0)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f6])).
% 138.16/17.95 fof(f45,plain,(
% 138.16/17.95 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 138.16/17.95 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 138.16/17.95 fof(f46,plain,(
% 138.16/17.95 ![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))))))))),
% 138.16/17.95 inference(NNF_transformation,[status(thm)],[f45])).
% 138.16/17.95 fof(f47,plain,(
% 138.16/17.95 ![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))))))))),
% 138.16/17.95 inference(miniscoping,[status(thm)],[f46])).
% 138.16/17.95 fof(f48,plain,(
% 138.16/17.95 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sK1_skl(W1,W0),W1)&~aElementOf0(sK1_skl(W1,W0),W0)))))))),
% 138.16/17.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f47])).
% 138.16/17.95 fof(f49,plain,(
% 138.16/17.95 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f48])).
% 138.16/17.95 fof(f50,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f48])).
% 138.16/17.95 fof(f51,plain,(
% 138.16/17.95 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|aElementOf0(sK1_skl(X1,X0),X1))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f48])).
% 138.16/17.95 fof(f52,plain,(
% 138.16/17.95 ![X0,X1]: (~aSet0(X0)|aSubsetOf0(X1,X0)|~aSet0(X1)|~aElementOf0(sK1_skl(X1,X0),X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f48])).
% 138.16/17.95 fof(f55,plain,(
% 138.16/17.95 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 138.16/17.95 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 138.16/17.95 fof(f56,plain,(
% 138.16/17.95 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f55])).
% 138.16/17.95 fof(f57,plain,(
% 138.16/17.95 ![W0,W1]: ((~aSet0(W0)|~aSet0(W1))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W0))|W0=W1))),
% 138.16/17.95 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 138.16/17.95 fof(f58,plain,(
% 138.16/17.95 ![X0,X1]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X0)|X0=X1)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f57])).
% 138.16/17.95 fof(f59,plain,(
% 138.16/17.95 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 138.16/17.95 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 138.16/17.95 fof(f60,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f59])).
% 138.16/17.95 fof(f61,plain,(
% 138.16/17.95 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtpldt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))))))),
% 138.16/17.95 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 138.16/17.95 fof(f62,plain,(
% 138.16/17.95 ![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))))))))))),
% 138.16/17.95 inference(NNF_transformation,[status(thm)],[f61])).
% 138.16/17.95 fof(f63,plain,(
% 138.16/17.95 ![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))))))))))),
% 138.16/17.95 inference(miniscoping,[status(thm)],[f62])).
% 138.16/17.95 fof(f64,plain,(
% 138.16/17.95 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtpldt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aElement0(W3)&(aElementOf0(W3,W0)|W3=W1))))&(![W3]: (aElementOf0(W3,W2)|(~aElement0(W3)|(~aElementOf0(W3,W0)&~W3=W1))))))))&(![W2]: (W2=sdtpldt0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sK2_skl(W2,W1,W0),W2)|(~aElement0(sK2_skl(W2,W1,W0))|(~aElementOf0(sK2_skl(W2,W1,W0),W0)&~sK2_skl(W2,W1,W0)=W1)))&(aElementOf0(sK2_skl(W2,W1,W0),W2)|(aElement0(sK2_skl(W2,W1,W0))&(aElementOf0(sK2_skl(W2,W1,W0),W0)|sK2_skl(W2,W1,W0)=W1)))))))))),
% 138.16/17.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W3,sK2_skl(W2,W1,W0))],[f63])).
% 138.16/17.95 fof(f65,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aSet0(X2))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f64])).
% 138.16/17.95 fof(f66,plain,(
% 138.16/17.95 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|~aElementOf0(X3,X2)|aElement0(X3))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f64])).
% 138.16/17.95 fof(f67,plain,(
% 138.16/17.95 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|~aElementOf0(X3,X2)|aElementOf0(X3,X0)|X3=X1)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f64])).
% 138.16/17.95 fof(f68,plain,(
% 138.16/17.95 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X3,X2)|~aElement0(X3)|~aElementOf0(X3,X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f64])).
% 138.16/17.95 fof(f69,plain,(
% 138.16/17.95 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X3,X2)|~aElement0(X3)|~X3=X1)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f64])).
% 138.16/17.95 fof(f71,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|X2=sdtpldt0(X0,X1)|~aSet0(X2)|~aElementOf0(sK2_skl(X2,X1,X0),X2)|~aElement0(sK2_skl(X2,X1,X0))|~sK2_skl(X2,X1,X0)=X1)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f64])).
% 138.16/17.95 fof(f72,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|X2=sdtpldt0(X0,X1)|~aSet0(X2)|aElementOf0(sK2_skl(X2,X1,X0),X2)|aElement0(sK2_skl(X2,X1,X0)))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f64])).
% 138.16/17.95 fof(f73,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|X2=sdtpldt0(X0,X1)|~aSet0(X2)|aElementOf0(sK2_skl(X2,X1,X0),X2)|aElementOf0(sK2_skl(X2,X1,X0),X0)|sK2_skl(X2,X1,X0)=X1)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f64])).
% 138.16/17.95 fof(f74,plain,(
% 138.16/17.95 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1)))))))),
% 138.16/17.95 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 138.16/17.95 fof(f75,definition,(
% 138.16/17.95 ![W0,W1,W3]: (sP0_prd(W3,W1,W0)<=>((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 138.16/17.95 fof(f76,plain,(
% 138.16/17.95 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: (W2=sdtmndt0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>sP0_prd(W3,W1,W0)))))))),
% 138.16/17.95 inference(formula_renaming,[status(thm)],[f74,f75])).
% 138.16/17.95 fof(f77,plain,(
% 138.16/17.95 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|(![W2]: ((~W2=sdtmndt0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|sP0_prd(W3,W1,W0))&(aElementOf0(W3,W2)|~sP0_prd(W3,W1,W0))))))&(W2=sdtmndt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|~sP0_prd(W3,W1,W0))&(aElementOf0(W3,W2)|sP0_prd(W3,W1,W0)))))))))),
% 138.16/17.95 inference(NNF_transformation,[status(thm)],[f76])).
% 138.16/17.95 fof(f78,plain,(
% 138.16/17.95 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtmndt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|sP0_prd(W3,W1,W0)))&(![W3]: (aElementOf0(W3,W2)|~sP0_prd(W3,W1,W0)))))))&(![W2]: (W2=sdtmndt0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|~sP0_prd(W3,W1,W0))&(aElementOf0(W3,W2)|sP0_prd(W3,W1,W0)))))))))),
% 138.16/17.95 inference(miniscoping,[status(thm)],[f77])).
% 138.16/17.95 fof(f79,plain,(
% 138.16/17.95 ![W0,W1]: ((~aSet0(W0)|~aElement0(W1))|((![W2]: (~W2=sdtmndt0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|sP0_prd(W3,W1,W0)))&(![W3]: (aElementOf0(W3,W2)|~sP0_prd(W3,W1,W0)))))))&(![W2]: (W2=sdtmndt0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sK3_skl(W2,W1,W0),W2)|~sP0_prd(sK3_skl(W2,W1,W0),W1,W0))&(aElementOf0(sK3_skl(W2,W1,W0),W2)|sP0_prd(sK3_skl(W2,W1,W0),W1,W0))))))))),
% 138.16/17.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(W3,sK3_skl(W2,W1,W0))],[f78])).
% 138.16/17.95 fof(f80,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|aSet0(X2))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f79])).
% 138.16/17.95 fof(f81,plain,(
% 138.16/17.95 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|~aElementOf0(X3,X2)|sP0_prd(X3,X1,X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f79])).
% 138.16/17.95 fof(f82,plain,(
% 138.16/17.95 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtmndt0(X0,X1)|aElementOf0(X3,X2)|~sP0_prd(X3,X1,X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f79])).
% 138.16/17.95 fof(f84,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|X2=sdtmndt0(X0,X1)|~aSet0(X2)|aElementOf0(sK3_skl(X2,X1,X0),X2)|sP0_prd(sK3_skl(X2,X1,X0),X1,X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f79])).
% 138.16/17.95 fof(f85,plain,(
% 138.16/17.95 aSet0(xS)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f17])).
% 138.16/17.95 fof(f86,plain,(
% 138.16/17.95 aElementOf0(xx,xS)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f18])).
% 138.16/17.95 fof(f87,plain,(
% 138.16/17.95 ((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))),
% 138.16/17.95 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 138.16/17.95 fof(f88,plain,(
% 138.16/17.95 (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)),
% 138.16/17.95 inference(NNF_transformation,[status(thm)],[f87])).
% 138.16/17.95 fof(f89,plain,(
% 138.16/17.95 (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)),
% 138.16/17.95 inference(miniscoping,[status(thm)],[f88])).
% 138.16/17.95 fof(f90,plain,(
% 138.16/17.95 aSet0(sdtmndt0(xS,xx))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f91,plain,(
% 138.16/17.95 ![X0]: (~aElementOf0(X0,sdtmndt0(xS,xx))|aElement0(X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f92,plain,(
% 138.16/17.95 ![X0]: (~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,xS))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f93,plain,(
% 138.16/17.95 ![X0]: (~aElementOf0(X0,sdtmndt0(xS,xx))|~X0=xx)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f94,plain,(
% 138.16/17.95 ![X0]: (aElementOf0(X0,sdtmndt0(xS,xx))|~aElement0(X0)|~aElementOf0(X0,xS)|X0=xx)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f95,plain,(
% 138.16/17.95 aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f97,plain,(
% 138.16/17.95 ![X0]: (~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X0,sdtmndt0(xS,xx))|X0=xx)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f98,plain,(
% 138.16/17.95 ![X0]: (aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X0)|~aElementOf0(X0,sdtmndt0(xS,xx)))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f99,plain,(
% 138.16/17.95 ![X0]: (aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X0)|~X0=xx)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f100,plain,(
% 138.16/17.95 ~sdtpldt0(sdtmndt0(xS,xx),xx)=xS),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f89])).
% 138.16/17.95 fof(f101,plain,(
% 138.16/17.95 ![W0,W1,W3]: ((~sP0_prd(W3,W1,W0)|((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1))&(sP0_prd(W3,W1,W0)|((~aElement0(W3)|~aElementOf0(W3,W0))|W3=W1)))),
% 138.16/17.95 inference(NNF_transformation,[status(thm)],[f75])).
% 138.16/17.95 fof(f102,plain,(
% 138.16/17.95 (![W0,W1,W3]: (~sP0_prd(W3,W1,W0)|((aElement0(W3)&aElementOf0(W3,W0))&~W3=W1)))&(![W0,W1,W3]: (sP0_prd(W3,W1,W0)|((~aElement0(W3)|~aElementOf0(W3,W0))|W3=W1)))),
% 138.16/17.95 inference(miniscoping,[status(thm)],[f101])).
% 138.16/17.95 fof(f103,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|aElement0(X0))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f102])).
% 138.16/17.95 fof(f104,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|aElementOf0(X0,X2))),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f102])).
% 138.16/17.95 fof(f105,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|~X0=X1)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f102])).
% 138.16/17.95 fof(f106,plain,(
% 138.16/17.95 ![X0,X1,X2]: (sP0_prd(X0,X1,X2)|~aElement0(X0)|~aElementOf0(X0,X2)|X0=X1)),
% 138.16/17.95 inference(cnf_transformation,[status(thm)],[f102])).
% 138.16/17.95 fof(f107,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X1,X2)|~aElement0(X1))),
% 138.16/17.95 inference(destructive_equality_resolution,[status(thm)],[f69])).
% 138.16/17.95 fof(f108,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X1,X2))),
% 138.16/17.95 inference(duplicate_literals_removal,[status(thm)],[f107])).
% 138.16/17.95 fof(f109,plain,(
% 138.16/17.95 ![X0,X1]: (~sP0_prd(X0,X0,X1))),
% 138.16/17.95 inference(destructive_equality_resolution,[status(thm)],[f105])).
% 138.16/17.95 fof(f110,plain,(
% 138.16/17.95 ~aSet0(xS)|aElement0(xx)),
% 138.16/17.95 inference(resolution,[status(thm)],[f28,f86])).
% 138.16/17.95 fof(f111,definition,(
% 138.16/17.95 sQ0_spl <=> (aSet0(xS))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f113,plain,(
% 138.16/17.95 ~aSet0(xS)|sQ0_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f111])).
% 138.16/17.95 fof(f114,definition,(
% 138.16/17.95 sQ1_spl <=> (aElement0(xx))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f115,plain,(
% 138.16/17.95 aElement0(xx)|~sQ1_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f114])).
% 138.16/17.95 fof(f117,plain,(
% 138.16/17.95 ~sQ0_spl|sQ1_spl),
% 138.16/17.95 inference(split_clause,[status(thm)],[f110,f111,f114])).
% 138.16/17.95 fof(f118,plain,(
% 138.16/17.95 $false|sQ0_spl),
% 138.16/17.95 inference(forward_subsumption_resolution,[status(thm)],[f113,f85])).
% 138.16/17.95 fof(f119,plain,(
% 138.16/17.95 sQ0_spl),
% 138.16/17.95 inference(contradiction_clause,[status(thm)],[f118])).
% 138.16/17.95 fof(f120,plain,(
% 138.16/17.95 ![X0,X1]: (~aElement0(X0)|~X1=sdtpldt0(xS,X0)|aSet0(X1))),
% 138.16/17.95 inference(resolution,[status(thm)],[f65,f85])).
% 138.16/17.95 fof(f123,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aElement0(X0)|~X1=sdtpldt0(sdtmndt0(xS,xx),X0)|~aElementOf0(X2,X1)|aElement0(X2))),
% 138.16/17.95 inference(resolution,[status(thm)],[f66,f90])).
% 138.16/17.95 fof(f126,plain,(
% 138.16/17.95 aSet0(slcrc0)),
% 138.16/17.95 inference(equality_resolution,[status(thm)],[f35])).
% 138.16/17.95 fof(f127,plain,(
% 138.16/17.95 ~xS=slcrc0),
% 138.16/17.95 inference(resolution,[status(thm)],[f36,f86])).
% 138.16/17.95 fof(f128,plain,(
% 138.16/17.95 xS=slcrc0|aElementOf0(sK0_skl(xS),xS)),
% 138.16/17.95 inference(resolution,[status(thm)],[f37,f85])).
% 138.16/17.95 fof(f129,plain,(
% 138.16/17.95 sdtmndt0(xS,xx)=slcrc0|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))),
% 138.16/17.95 inference(resolution,[status(thm)],[f37,f90])).
% 138.16/17.95 fof(f130,definition,(
% 138.16/17.95 sQ2_spl <=> (xS=slcrc0)),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f131,plain,(
% 138.16/17.95 xS=slcrc0|~sQ2_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f130])).
% 138.16/17.95 fof(f133,definition,(
% 138.16/17.95 sQ3_spl <=> (aElementOf0(sK0_skl(xS),xS))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f134,plain,(
% 138.16/17.95 aElementOf0(sK0_skl(xS),xS)|~sQ3_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f133])).
% 138.16/17.95 fof(f136,plain,(
% 138.16/17.95 sQ2_spl|sQ3_spl),
% 138.16/17.95 inference(split_clause,[status(thm)],[f128,f130,f133])).
% 138.16/17.95 fof(f137,definition,(
% 138.16/17.95 sQ4_spl <=> (sdtmndt0(xS,xx)=slcrc0)),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f138,plain,(
% 138.16/17.95 sdtmndt0(xS,xx)=slcrc0|~sQ4_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f137])).
% 138.16/17.95 fof(f140,definition,(
% 138.16/17.95 sQ5_spl <=> (aElementOf0(sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f141,plain,(
% 138.16/17.95 aElementOf0(sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~sQ5_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f140])).
% 138.16/17.95 fof(f143,plain,(
% 138.16/17.95 sQ4_spl|sQ5_spl),
% 138.16/17.95 inference(split_clause,[status(thm)],[f129,f137,f140])).
% 138.16/17.95 fof(f151,plain,(
% 138.16/17.95 ![X0]: (aElementOf0(X0,slcrc0)|~aElement0(X0)|~aElementOf0(X0,xS)|X0=xx|~sQ4_spl)),
% 138.16/17.95 inference(forward_demodulation,[status(thm)],[f138,f94])).
% 138.16/17.95 fof(f153,definition,(
% 138.16/17.95 sQ6_spl <=> (aElementOf0(xx,slcrc0))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f154,plain,(
% 138.16/17.95 aElementOf0(xx,slcrc0)|~sQ6_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f153])).
% 138.16/17.95 fof(f155,plain,(
% 138.16/17.95 ~aElementOf0(xx,slcrc0)|sQ6_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f153])).
% 138.16/17.95 fof(f156,definition,(
% 138.16/17.95 sQ7_spl <=> (xx=xx)),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f160,plain,(
% 138.16/17.95 $false|~sQ2_spl),
% 138.16/17.95 inference(forward_subsumption_resolution,[status(thm)],[f131,f127])).
% 138.16/17.95 fof(f161,plain,(
% 138.16/17.95 ~sQ2_spl),
% 138.16/17.95 inference(contradiction_clause,[status(thm)],[f160])).
% 138.16/17.95 fof(f162,plain,(
% 138.16/17.95 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElement0(X1)|~X2=sdtpldt0(X0,X1)|aElementOf0(X3,X2)|~aElementOf0(X3,X0))),
% 138.16/17.95 inference(forward_subsumption_resolution,[status(thm)],[f68,f28])).
% 138.16/17.95 fof(f163,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~X1=sdtpldt0(X0,xx)|aElementOf0(X2,X1)|~aElementOf0(X2,X0)|~sQ1_spl)),
% 138.16/17.95 inference(resolution,[status(thm)],[f162,f115])).
% 138.16/17.95 fof(f164,plain,(
% 138.16/17.95 ![X0,X1]: (~aElement0(X0)|~X1=sdtpldt0(xS,X0)|aElementOf0(X0,X1))),
% 138.16/17.95 inference(resolution,[status(thm)],[f108,f85])).
% 138.16/17.95 fof(f166,plain,(
% 138.16/17.95 ![X0,X1]: (~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aSet0(X1))),
% 138.16/17.95 inference(resolution,[status(thm)],[f95,f80])).
% 138.16/17.95 fof(f167,plain,(
% 138.16/17.95 ![X0,X1]: (~aElement0(X0)|~X1=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElementOf0(X0,X1))),
% 138.16/17.95 inference(resolution,[status(thm)],[f95,f108])).
% 138.16/17.95 fof(f168,plain,(
% 138.16/17.95 sdtpldt0(sdtmndt0(xS,xx),xx)=slcrc0|aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.95 inference(resolution,[status(thm)],[f95,f37])).
% 138.16/17.95 fof(f171,plain,(
% 138.16/17.95 ![X0,X1]: (~aElement0(X0)|~X1=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aSet0(X1))),
% 138.16/17.95 inference(resolution,[status(thm)],[f95,f65])).
% 138.16/17.95 fof(f172,definition,(
% 138.16/17.95 sQ8_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=slcrc0)),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f173,plain,(
% 138.16/17.95 sdtpldt0(sdtmndt0(xS,xx),xx)=slcrc0|~sQ8_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f172])).
% 138.16/17.95 fof(f175,definition,(
% 138.16/17.95 sQ9_spl <=> (aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f176,plain,(
% 138.16/17.95 aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ9_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f175])).
% 138.16/17.95 fof(f178,plain,(
% 138.16/17.95 sQ8_spl|sQ9_spl),
% 138.16/17.95 inference(split_clause,[status(thm)],[f168,f172,f175])).
% 138.16/17.95 fof(f179,plain,(
% 138.16/17.95 ![X0,X1]: (~aElement0(X0)|~X1=sdtmndt0(slcrc0,X0)|aSet0(X1))),
% 138.16/17.95 inference(resolution,[status(thm)],[f126,f80])).
% 138.16/17.95 fof(f180,plain,(
% 138.16/17.95 ![X0,X1]: (~aElement0(X0)|~X1=sdtpldt0(slcrc0,X0)|aElementOf0(X0,X1))),
% 138.16/17.95 inference(resolution,[status(thm)],[f126,f108])).
% 138.16/17.95 fof(f182,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aElement0(X0)|~X1=sdtpldt0(slcrc0,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,slcrc0)|X2=X0)),
% 138.16/17.95 inference(resolution,[status(thm)],[f126,f67])).
% 138.16/17.95 fof(f184,plain,(
% 138.16/17.95 ![X0,X1]: (~aElement0(X0)|~X1=sdtpldt0(slcrc0,X0)|aSet0(X1))),
% 138.16/17.95 inference(resolution,[status(thm)],[f126,f65])).
% 138.16/17.95 fof(f185,definition,(
% 138.16/17.95 sQ10_spl <=> (slcrc0=slcrc0)),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f192,plain,(
% 138.16/17.95 aSubsetOf0(slcrc0,slcrc0)),
% 138.16/17.95 inference(resolution,[status(thm)],[f56,f126])).
% 138.16/17.95 fof(f193,plain,(
% 138.16/17.95 aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.95 inference(resolution,[status(thm)],[f56,f95])).
% 138.16/17.95 fof(f194,plain,(
% 138.16/17.95 aSubsetOf0(xS,xS)),
% 138.16/17.95 inference(resolution,[status(thm)],[f56,f85])).
% 138.16/17.95 fof(f196,definition,(
% 138.16/17.95 sQ12_spl <=> (aSet0(slcrc0))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f198,plain,(
% 138.16/17.95 ~aSet0(slcrc0)|sQ12_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f196])).
% 138.16/17.95 fof(f200,plain,(
% 138.16/17.95 ![X0]: (~aSet0(slcrc0)|~aElementOf0(X0,slcrc0)|aElementOf0(X0,slcrc0))),
% 138.16/17.95 inference(resolution,[status(thm)],[f50,f192])).
% 138.16/17.95 fof(f201,definition,(
% 138.16/17.95 ![X0]: (sQ13_spl <=> (~aElementOf0(X0,slcrc0)|aElementOf0(X0,slcrc0)))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f204,plain,(
% 138.16/17.95 ~sQ12_spl|sQ13_spl),
% 138.16/17.95 inference(split_clause,[status(thm)],[f200,f196,f201])).
% 138.16/17.95 fof(f205,plain,(
% 138.16/17.95 $false|sQ12_spl),
% 138.16/17.95 inference(forward_subsumption_resolution,[status(thm)],[f198,f126])).
% 138.16/17.95 fof(f206,plain,(
% 138.16/17.95 sQ12_spl),
% 138.16/17.95 inference(contradiction_clause,[status(thm)],[f205])).
% 138.16/17.95 fof(f207,plain,(
% 138.16/17.95 ![X0]: (aSubsetOf0(X0,slcrc0)|~aSet0(X0)|aElementOf0(sK1_skl(X0,slcrc0),X0))),
% 138.16/17.95 inference(resolution,[status(thm)],[f51,f126])).
% 138.16/17.95 fof(f208,plain,(
% 138.16/17.95 ![X0]: (aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X0)|aElementOf0(sK1_skl(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),X0))),
% 138.16/17.95 inference(resolution,[status(thm)],[f51,f95])).
% 138.16/17.95 fof(f209,plain,(
% 138.16/17.95 ![X0]: (aSubsetOf0(X0,xS)|~aSet0(X0)|aElementOf0(sK1_skl(X0,xS),X0))),
% 138.16/17.95 inference(resolution,[status(thm)],[f51,f85])).
% 138.16/17.95 fof(f211,definition,(
% 138.16/17.95 sQ14_spl <=> (isFinite0(slcrc0))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f213,plain,(
% 138.16/17.95 ~isFinite0(slcrc0)|sQ14_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f211])).
% 138.16/17.95 fof(f215,plain,(
% 138.16/17.95 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aSubsetOf0(X0,X1)|X1=X0)),
% 138.16/17.95 inference(forward_subsumption_resolution,[status(thm)],[f58,f49])).
% 138.16/17.95 fof(f216,plain,(
% 138.16/17.95 ~aSet0(slcrc0)|~aSubsetOf0(slcrc0,slcrc0)|slcrc0=slcrc0),
% 138.16/17.95 inference(resolution,[status(thm)],[f215,f192])).
% 138.16/17.95 fof(f217,definition,(
% 138.16/17.95 sQ15_spl <=> (aSubsetOf0(slcrc0,slcrc0))),
% 138.16/17.95 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 138.16/17.95 fof(f219,plain,(
% 138.16/17.95 ~aSubsetOf0(slcrc0,slcrc0)|sQ15_spl),
% 138.16/17.95 inference(component_clause,[status(thm)],[f217])).
% 138.16/17.95 fof(f220,plain,(
% 138.16/17.95 ~sQ12_spl|~sQ15_spl|sQ10_spl),
% 138.16/17.95 inference(split_clause,[status(thm)],[f216,f196,f217,f185])).
% 138.16/17.95 fof(f221,plain,(
% 138.16/17.95 $false|sQ15_spl),
% 138.16/17.95 inference(forward_subsumption_resolution,[status(thm)],[f219,f192])).
% 138.16/17.95 fof(f222,plain,(
% 138.16/17.95 sQ15_spl),
% 138.16/17.95 inference(contradiction_clause,[status(thm)],[f221])).
% 138.16/17.95 fof(f223,plain,(
% 138.16/17.95 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 138.16/17.97 inference(forward_subsumption_resolution,[status(thm)],[f60,f49])).
% 138.16/17.97 fof(f224,plain,(
% 138.16/17.97 ![X0]: (~aSet0(slcrc0)|~aSet0(X0)|~aSubsetOf0(slcrc0,X0)|aSubsetOf0(slcrc0,X0))),
% 138.16/17.97 inference(resolution,[status(thm)],[f223,f192])).
% 138.16/17.97 fof(f225,definition,(
% 138.16/17.97 ![X0]: (sQ16_spl <=> (~aSet0(X0)|~aSubsetOf0(slcrc0,X0)|aSubsetOf0(slcrc0,X0)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f228,plain,(
% 138.16/17.97 ~sQ12_spl|sQ16_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f224,f196,f225])).
% 138.16/17.97 fof(f229,plain,(
% 138.16/17.97 ![X0]: (aSubsetOf0(X0,sdtmndt0(xS,xx))|~aSet0(X0)|aElementOf0(sK1_skl(X0,sdtmndt0(xS,xx)),X0))),
% 138.16/17.97 inference(resolution,[status(thm)],[f90,f51])).
% 138.16/17.97 fof(f230,plain,(
% 138.16/17.97 aSubsetOf0(sdtmndt0(xS,xx),sdtmndt0(xS,xx))),
% 138.16/17.97 inference(resolution,[status(thm)],[f90,f56])).
% 138.16/17.97 fof(f231,plain,(
% 138.16/17.97 ![X0,X1]: (~aElement0(X0)|~X1=sdtmndt0(sdtmndt0(xS,xx),X0)|aSet0(X1))),
% 138.16/17.97 inference(resolution,[status(thm)],[f90,f80])).
% 138.16/17.97 fof(f234,plain,(
% 138.16/17.97 ![X0,X1,X2]: (~aElement0(X0)|~X1=sdtpldt0(sdtmndt0(xS,xx),X0)|~aElementOf0(X2,X1)|aElementOf0(X2,sdtmndt0(xS,xx))|X2=X0)),
% 138.16/17.97 inference(resolution,[status(thm)],[f90,f67])).
% 138.16/17.97 fof(f238,plain,(
% 138.16/17.97 ![X0]: (~aSet0(xS)|~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(xS,X0))),
% 138.16/17.97 inference(resolution,[status(thm)],[f194,f223])).
% 138.16/17.97 fof(f239,plain,(
% 138.16/17.97 ~aSet0(xS)|~aSubsetOf0(xS,xS)|xS=xS),
% 138.16/17.97 inference(resolution,[status(thm)],[f194,f215])).
% 138.16/17.97 fof(f241,plain,(
% 138.16/17.97 ![X0]: (~aSet0(xS)|~aElementOf0(X0,xS)|aElementOf0(X0,xS))),
% 138.16/17.97 inference(resolution,[status(thm)],[f194,f50])).
% 138.16/17.97 fof(f243,definition,(
% 138.16/17.97 ![X0]: (sQ17_spl <=> (~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(xS,X0)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f246,plain,(
% 138.16/17.97 ~sQ0_spl|sQ17_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f238,f111,f243])).
% 138.16/17.97 fof(f247,definition,(
% 138.16/17.97 sQ18_spl <=> (aSubsetOf0(xS,xS))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f249,plain,(
% 138.16/17.97 ~aSubsetOf0(xS,xS)|sQ18_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f247])).
% 138.16/17.97 fof(f250,definition,(
% 138.16/17.97 sQ19_spl <=> (xS=xS)),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f253,plain,(
% 138.16/17.97 ~sQ0_spl|~sQ18_spl|sQ19_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f239,f111,f247,f250])).
% 138.16/17.97 fof(f258,definition,(
% 138.16/17.97 ![X0]: (sQ21_spl <=> (~aElementOf0(X0,xS)|aElementOf0(X0,xS)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f261,plain,(
% 138.16/17.97 ~sQ0_spl|sQ21_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f241,f111,f258])).
% 138.16/17.97 fof(f263,plain,(
% 138.16/17.97 $false|sQ18_spl),
% 138.16/17.97 inference(forward_subsumption_resolution,[status(thm)],[f249,f194])).
% 138.16/17.97 fof(f264,plain,(
% 138.16/17.97 sQ18_spl),
% 138.16/17.97 inference(contradiction_clause,[status(thm)],[f263])).
% 138.16/17.97 fof(f266,plain,(
% 138.16/17.97 ~aSet0(xS)|aElement0(sK0_skl(xS))|~sQ3_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f134,f28])).
% 138.16/17.97 fof(f267,definition,(
% 138.16/17.97 sQ22_spl <=> (aElement0(sK0_skl(xS)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f270,plain,(
% 138.16/17.97 ~sQ0_spl|sQ22_spl|~sQ3_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f266,f111,f267,f133])).
% 138.16/17.97 fof(f271,plain,(
% 138.16/17.97 aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~xx=xx|~sQ1_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f99,f115])).
% 138.16/17.97 fof(f272,definition,(
% 138.16/17.97 sQ23_spl <=> (aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f273,plain,(
% 138.16/17.97 aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ23_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f272])).
% 138.16/17.97 fof(f275,plain,(
% 138.16/17.97 sQ23_spl|~sQ7_spl|~sQ1_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f271,f272,f156,f114])).
% 138.16/17.97 fof(f277,plain,(
% 138.16/17.97 aElementOf0(xx,sdtmndt0(xS,xx))|~aElement0(xx)|xx=xx),
% 138.16/17.97 inference(resolution,[status(thm)],[f94,f86])).
% 138.16/17.97 fof(f285,definition,(
% 138.16/17.97 sQ26_spl <=> (aElementOf0(xx,sdtmndt0(xS,xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f286,plain,(
% 138.16/17.97 aElementOf0(xx,sdtmndt0(xS,xx))|~sQ26_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f285])).
% 138.16/17.97 fof(f288,plain,(
% 138.16/17.97 sQ26_spl|~sQ1_spl|sQ7_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f277,f285,f114,f156])).
% 138.16/17.97 fof(f295,plain,(
% 138.16/17.97 ~slcrc0=slcrc0|~sQ6_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f154,f36])).
% 138.16/17.97 fof(f297,plain,(
% 138.16/17.97 $false|~sQ6_spl),
% 138.16/17.97 inference(trivial_equality_resolution,[status(thm)],[f295])).
% 138.16/17.97 fof(f298,plain,(
% 138.16/17.97 ~sQ6_spl),
% 138.16/17.97 inference(contradiction_clause,[status(thm)],[f297])).
% 138.16/17.97 fof(f300,plain,(
% 138.16/17.97 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|X2=sdtpldt0(X0,X1)|~aSet0(X2)|~aElementOf0(sK2_skl(X2,X1,X0),X2)|~sK2_skl(X2,X1,X0)=X1)),
% 138.16/17.97 inference(forward_subsumption_resolution,[status(thm)],[f71,f28])).
% 138.16/17.97 fof(f301,plain,(
% 138.16/17.97 ![X0,X1,X2]: (~aSet0(X0)|~aElement0(X1)|X2=sdtpldt0(X0,X1)|~aSet0(X2)|aElement0(sK2_skl(X2,X1,X0)))),
% 138.16/17.97 inference(forward_subsumption_resolution,[status(thm)],[f72,f28])).
% 138.16/17.97 fof(f302,plain,(
% 138.16/17.97 ![X0,X1]: (~aElement0(X0)|X1=sdtpldt0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aElement0(sK2_skl(X1,X0,sdtmndt0(xS,xx))))),
% 138.16/17.97 inference(resolution,[status(thm)],[f301,f90])).
% 138.16/17.97 fof(f303,plain,(
% 138.16/17.97 ![X0,X1]: (~aElement0(X0)|X1=sdtpldt0(slcrc0,X0)|~aSet0(X1)|aElement0(sK2_skl(X1,X0,slcrc0)))),
% 138.16/17.97 inference(resolution,[status(thm)],[f301,f126])).
% 138.16/17.97 fof(f304,plain,(
% 138.16/17.97 ![X0,X1]: (~aElement0(X0)|X1=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|~aSet0(X1)|aElement0(sK2_skl(X1,X0,sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 138.16/17.97 inference(resolution,[status(thm)],[f301,f95])).
% 138.16/17.97 fof(f305,plain,(
% 138.16/17.97 ![X0,X1]: (~aElement0(X0)|X1=sdtpldt0(xS,X0)|~aSet0(X1)|aElement0(sK2_skl(X1,X0,xS)))),
% 138.16/17.97 inference(resolution,[status(thm)],[f301,f85])).
% 138.16/17.97 fof(f306,plain,(
% 138.16/17.97 ![X0,X1]: (~aElement0(X0)|X1=sdtpldt0(sdtmndt0(xS,xx),X0)|~aSet0(X1)|aElementOf0(sK2_skl(X1,X0,sdtmndt0(xS,xx)),X1)|aElementOf0(sK2_skl(X1,X0,sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|sK2_skl(X1,X0,sdtmndt0(xS,xx))=X0)),
% 138.16/17.97 inference(resolution,[status(thm)],[f73,f90])).
% 138.16/17.97 fof(f310,plain,(
% 138.16/17.97 ![X0,X1,X2]: (~aElement0(X0)|~X1=sdtmndt0(sdtmndt0(xS,xx),X0)|~aElementOf0(X2,X1)|sP0_prd(X2,X0,sdtmndt0(xS,xx)))),
% 138.16/17.97 inference(resolution,[status(thm)],[f81,f90])).
% 138.16/17.97 fof(f311,plain,(
% 138.16/17.97 ![X0,X1,X2]: (~aElement0(X0)|~X1=sdtmndt0(slcrc0,X0)|~aElementOf0(X2,X1)|sP0_prd(X2,X0,slcrc0))),
% 138.16/17.97 inference(resolution,[status(thm)],[f81,f126])).
% 138.16/17.97 fof(f312,plain,(
% 138.16/17.97 ![X0,X1,X2]: (~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|~aElementOf0(X2,X1)|sP0_prd(X2,X0,sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.97 inference(resolution,[status(thm)],[f81,f95])).
% 138.16/17.97 fof(f313,plain,(
% 138.16/17.97 ![X0,X1,X2]: (~aElement0(X0)|~X1=sdtmndt0(xS,X0)|~aElementOf0(X2,X1)|sP0_prd(X2,X0,xS))),
% 138.16/17.97 inference(resolution,[status(thm)],[f81,f85])).
% 138.16/17.97 fof(f314,plain,(
% 138.16/17.97 ![X0]: (aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(X0,sdtmndt0(xS,xx)))),
% 138.16/17.97 inference(backward_subsumption_resolution,[status(thm)],[f98,f91])).
% 138.16/17.97 fof(f316,plain,(
% 138.16/17.97 ![X0]: (~X0=sdtpldt0(xS,xx)|aSet0(X0)|~sQ1_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f120,f115])).
% 138.16/17.97 fof(f317,plain,(
% 138.16/17.97 aSet0(sdtpldt0(xS,xx))|~sQ1_spl),
% 138.16/17.97 inference(equality_resolution,[status(thm)],[f316])).
% 138.16/17.97 fof(f323,plain,(
% 138.16/17.97 ![X0,X1]: (~X0=sdtpldt0(sdtmndt0(xS,xx),xx)|~aElementOf0(X1,X0)|aElement0(X1)|~sQ1_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f123,f115])).
% 138.16/17.97 fof(f331,plain,(
% 138.16/17.97 sdtpldt0(xS,xx)=slcrc0|aElementOf0(sK0_skl(sdtpldt0(xS,xx)),sdtpldt0(xS,xx))|~sQ1_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f317,f37])).
% 138.16/17.97 fof(f335,definition,(
% 138.16/17.97 sQ28_spl <=> (sdtpldt0(xS,xx)=slcrc0)),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f336,plain,(
% 138.16/17.97 sdtpldt0(xS,xx)=slcrc0|~sQ28_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f335])).
% 138.16/17.97 fof(f337,plain,(
% 138.16/17.97 ~sdtpldt0(xS,xx)=slcrc0|sQ28_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f335])).
% 138.16/17.97 fof(f338,definition,(
% 138.16/17.97 sQ29_spl <=> (aElementOf0(sK0_skl(sdtpldt0(xS,xx)),sdtpldt0(xS,xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f341,plain,(
% 138.16/17.97 sQ28_spl|sQ29_spl|~sQ1_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f331,f335,f338,f114])).
% 138.16/17.97 fof(f350,plain,(
% 138.16/17.97 ![X0]: (sP0_prd(sK0_skl(xS),X0,xS)|~aElement0(sK0_skl(xS))|sK0_skl(xS)=X0|~sQ3_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f106,f134])).
% 138.16/17.97 fof(f351,plain,(
% 138.16/17.97 ![X0]: (sP0_prd(xx,X0,xS)|~aElement0(xx)|xx=X0)),
% 138.16/17.97 inference(resolution,[status(thm)],[f106,f86])).
% 138.16/17.97 fof(f352,definition,(
% 138.16/17.97 ![X0]: (sQ30_spl <=> (sP0_prd(sK0_skl(xS),X0,xS)|sK0_skl(xS)=X0))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f353,plain,(
% 138.16/17.97 ![X0]: (sP0_prd(sK0_skl(xS),X0,xS)|sK0_skl(xS)=X0|~sQ30_spl)),
% 138.16/17.97 inference(component_clause,[status(thm)],[f352])).
% 138.16/17.97 fof(f355,plain,(
% 138.16/17.97 sQ30_spl|~sQ22_spl|~sQ3_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f350,f352,f267,f133])).
% 138.16/17.97 fof(f356,definition,(
% 138.16/17.97 ![X0]: (sQ31_spl <=> (sP0_prd(xx,X0,xS)|xx=X0))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f357,plain,(
% 138.16/17.97 ![X0]: (sP0_prd(xx,X0,xS)|xx=X0|~sQ31_spl)),
% 138.16/17.97 inference(component_clause,[status(thm)],[f356])).
% 138.16/17.97 fof(f359,plain,(
% 138.16/17.97 sQ31_spl|~sQ1_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f351,f356,f114])).
% 138.16/17.97 fof(f367,plain,(
% 138.16/17.97 ![X0]: (aElementOf0(X0,slcrc0)|~aElement0(X0)|~X0=xx|~sQ8_spl)),
% 138.16/17.97 inference(backward_demodulation,[status(thm)],[f173,f99])).
% 138.16/17.97 fof(f374,plain,(
% 138.16/17.97 aElementOf0(xx,slcrc0)|~xx=xx|~sQ8_spl|~sQ1_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f367,f115])).
% 138.16/17.97 fof(f375,definition,(
% 138.16/17.97 sQ32_spl <=> (aElementOf0(sK0_skl(xS),slcrc0))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f376,plain,(
% 138.16/17.97 aElementOf0(sK0_skl(xS),slcrc0)|~sQ32_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f375])).
% 138.16/17.97 fof(f379,plain,(
% 138.16/17.97 sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ1_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f374,f153,f156,f172,f114])).
% 138.16/17.97 fof(f380,plain,(
% 138.16/17.97 ![X0]: (xx=X0|aElementOf0(xx,xS)|~sQ31_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f357,f104])).
% 138.16/17.97 fof(f382,plain,(
% 138.16/17.97 ![X0,X1]: (xx=X0|~aSet0(xS)|~aElement0(X0)|~X1=sdtmndt0(xS,X0)|aElementOf0(xx,X1)|~sQ31_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f357,f82])).
% 138.16/17.97 fof(f384,definition,(
% 138.16/17.97 ![X0]: (sQ33_spl <=> (xx=X0))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f385,plain,(
% 138.16/17.97 ![X0]: (xx=X0|~sQ33_spl)),
% 138.16/17.97 inference(component_clause,[status(thm)],[f384])).
% 138.16/17.97 fof(f387,definition,(
% 138.16/17.97 sQ34_spl <=> (aElementOf0(xx,xS))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f390,plain,(
% 138.16/17.97 sQ33_spl|sQ34_spl|~sQ31_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f380,f384,f387,f356])).
% 138.16/17.97 fof(f392,definition,(
% 138.16/17.97 ![X0,X1]: (sQ35_spl <=> (xx=X0|~aElement0(X0)|~X1=sdtmndt0(xS,X0)|aElementOf0(xx,X1)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f393,plain,(
% 138.16/17.97 ![X0,X1]: (xx=X0|~aElement0(X0)|~X1=sdtmndt0(xS,X0)|aElementOf0(xx,X1)|~sQ35_spl)),
% 138.16/17.97 inference(component_clause,[status(thm)],[f392])).
% 138.16/17.97 fof(f395,plain,(
% 138.16/17.97 sQ35_spl|~sQ0_spl|~sQ31_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f382,f392,f111,f356])).
% 138.16/17.97 fof(f408,plain,(
% 138.16/17.97 ~xx=xS|~sQ33_spl),
% 138.16/17.97 inference(paramodulation,[status(thm)],[f385,f100])).
% 138.16/17.97 fof(f412,plain,(
% 138.16/17.97 $false|~sQ33_spl),
% 138.16/17.97 inference(forward_subsumption_resolution,[status(thm)],[f408,f385])).
% 138.16/17.97 fof(f413,plain,(
% 138.16/17.97 ~sQ33_spl),
% 138.16/17.97 inference(contradiction_clause,[status(thm)],[f412])).
% 138.16/17.97 fof(f445,plain,(
% 138.16/17.97 ~sK0_skl(sdtmndt0(xS,xx))=xx|~sQ5_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f141,f93])).
% 138.16/17.97 fof(f447,plain,(
% 138.16/17.97 aElement0(sK0_skl(sdtmndt0(xS,xx)))|~sQ5_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f141,f91])).
% 138.16/17.97 fof(f448,plain,(
% 138.16/17.97 aElementOf0(sK0_skl(sdtmndt0(xS,xx)),xS)|~sQ5_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f141,f92])).
% 138.16/17.97 fof(f449,plain,(
% 138.16/17.97 ![X0]: (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),X0,sdtmndt0(xS,xx))|~aElement0(sK0_skl(sdtmndt0(xS,xx)))|sK0_skl(sdtmndt0(xS,xx))=X0|~sQ5_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f141,f106])).
% 138.16/17.97 fof(f451,plain,(
% 138.16/17.97 ~aSet0(sdtmndt0(xS,xx))|aElement0(sK0_skl(sdtmndt0(xS,xx)))|~sQ5_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f141,f28])).
% 138.16/17.97 fof(f452,definition,(
% 138.16/17.97 ![X0]: (sQ36_spl <=> (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),X0,sdtmndt0(xS,xx))|sK0_skl(sdtmndt0(xS,xx))=X0))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f453,plain,(
% 138.16/17.97 ![X0]: (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),X0,sdtmndt0(xS,xx))|sK0_skl(sdtmndt0(xS,xx))=X0|~sQ36_spl)),
% 138.16/17.97 inference(component_clause,[status(thm)],[f452])).
% 138.16/17.97 fof(f455,definition,(
% 138.16/17.97 sQ37_spl <=> (aElement0(sK0_skl(sdtmndt0(xS,xx))))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f456,plain,(
% 138.16/17.97 aElement0(sK0_skl(sdtmndt0(xS,xx)))|~sQ37_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f455])).
% 138.16/17.97 fof(f458,plain,(
% 138.16/17.97 sQ36_spl|~sQ37_spl|~sQ5_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f449,f452,f455,f140])).
% 138.16/17.97 fof(f459,definition,(
% 138.16/17.97 sQ38_spl <=> (aSet0(sdtmndt0(xS,xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f461,plain,(
% 138.16/17.97 ~aSet0(sdtmndt0(xS,xx))|sQ38_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f459])).
% 138.16/17.97 fof(f462,plain,(
% 138.16/17.97 ~sQ38_spl|sQ37_spl|~sQ5_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f451,f459,f455,f140])).
% 138.16/17.97 fof(f463,plain,(
% 138.16/17.97 $false|sQ38_spl),
% 138.16/17.97 inference(forward_subsumption_resolution,[status(thm)],[f461,f90])).
% 138.16/17.97 fof(f464,plain,(
% 138.16/17.97 sQ38_spl),
% 138.16/17.97 inference(contradiction_clause,[status(thm)],[f463])).
% 138.16/17.97 fof(f472,plain,(
% 138.16/17.97 ~sdtpldt0(slcrc0,xx)=xS|~sQ4_spl),
% 138.16/17.97 inference(backward_demodulation,[status(thm)],[f138,f100])).
% 138.16/17.97 fof(f497,definition,(
% 138.16/17.97 sQ39_spl <=> (sdtpldt0(slcrc0,xx)=slcrc0)),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f498,plain,(
% 138.16/17.97 sdtpldt0(slcrc0,xx)=slcrc0|~sQ39_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f497])).
% 138.16/17.97 fof(f500,definition,(
% 138.16/17.97 sQ40_spl <=> (aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),sdtpldt0(slcrc0,xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f501,plain,(
% 138.16/17.97 aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),sdtpldt0(slcrc0,xx))|~sQ40_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f500])).
% 138.16/17.97 fof(f541,plain,(
% 138.16/17.97 ~xx=xx|~sQ26_spl),
% 138.16/17.97 inference(resolution,[status(thm)],[f286,f93])).
% 138.16/17.97 fof(f545,plain,(
% 138.16/17.97 $false|~sQ26_spl),
% 138.16/17.97 inference(trivial_equality_resolution,[status(thm)],[f541])).
% 138.16/17.97 fof(f546,plain,(
% 138.16/17.97 ~sQ26_spl),
% 138.16/17.97 inference(contradiction_clause,[status(thm)],[f545])).
% 138.16/17.97 fof(f615,plain,(
% 138.16/17.97 ![X0]: (~X0=sdtpldt0(xS,xx)|aElementOf0(xx,X0)|~sQ1_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f164,f115])).
% 138.16/17.97 fof(f616,plain,(
% 138.16/17.97 ![X0]: (~X0=slcrc0|aElementOf0(xx,X0)|~sQ28_spl|~sQ1_spl)),
% 138.16/17.97 inference(forward_demodulation,[status(thm)],[f336,f615])).
% 138.16/17.97 fof(f617,plain,(
% 138.16/17.97 ![X0]: (~X0=slcrc0|~sQ28_spl|~sQ1_spl)),
% 138.16/17.97 inference(forward_subsumption_resolution,[status(thm)],[f616,f36])).
% 138.16/17.97 fof(f619,plain,(
% 138.16/17.97 ![X0]: (~X0=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aSet0(X0)|~sQ1_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f166,f115])).
% 138.16/17.97 fof(f621,plain,(
% 138.16/17.97 $false|~sQ1_spl|~sQ28_spl),
% 138.16/17.97 inference(backward_subsumption_resolution,[status(thm)],[f336,f617])).
% 138.16/17.97 fof(f623,plain,(
% 138.16/17.97 ~sQ1_spl|~sQ28_spl),
% 138.16/17.97 inference(contradiction_clause,[status(thm)],[f621])).
% 138.16/17.97 fof(f636,plain,(
% 138.16/17.97 ![X0]: (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(xx,X0)|~sQ1_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f167,f115])).
% 138.16/17.97 fof(f642,plain,(
% 138.16/17.97 ![X0]: (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aSet0(X0)|~sQ1_spl)),
% 138.16/17.97 inference(resolution,[status(thm)],[f171,f115])).
% 138.16/17.97 fof(f643,plain,(
% 138.16/17.97 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X0)|~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0))),
% 138.16/17.97 inference(resolution,[status(thm)],[f193,f223])).
% 138.16/17.97 fof(f644,plain,(
% 138.16/17.97 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))|sdtpldt0(sdtmndt0(xS,xx),xx)=sdtpldt0(sdtmndt0(xS,xx),xx)),
% 138.16/17.97 inference(resolution,[status(thm)],[f193,f215])).
% 138.16/17.97 fof(f646,plain,(
% 138.16/17.97 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.97 inference(resolution,[status(thm)],[f193,f50])).
% 138.16/17.97 fof(f648,definition,(
% 138.16/17.97 sQ41_spl <=> (aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f650,plain,(
% 138.16/17.97 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|sQ41_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f648])).
% 138.16/17.97 fof(f651,definition,(
% 138.16/17.97 ![X0]: (sQ42_spl <=> (~aSet0(X0)|~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f654,plain,(
% 138.16/17.97 ~sQ41_spl|sQ42_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f643,f648,f651])).
% 138.16/17.97 fof(f655,definition,(
% 138.16/17.97 sQ43_spl <=> (aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f657,plain,(
% 138.16/17.97 ~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))|sQ43_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f655])).
% 138.16/17.97 fof(f658,definition,(
% 138.16/17.97 sQ44_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f661,plain,(
% 138.16/17.97 ~sQ41_spl|~sQ43_spl|sQ44_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f644,f648,f655,f658])).
% 138.16/17.97 fof(f666,definition,(
% 138.16/17.97 ![X0]: (sQ46_spl <=> (~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f669,plain,(
% 138.16/17.97 ~sQ41_spl|sQ46_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f646,f648,f666])).
% 138.16/17.97 fof(f671,plain,(
% 138.16/17.97 $false|sQ41_spl),
% 138.16/17.97 inference(forward_subsumption_resolution,[status(thm)],[f650,f95])).
% 138.16/17.97 fof(f672,plain,(
% 138.16/17.97 sQ41_spl),
% 138.16/17.97 inference(contradiction_clause,[status(thm)],[f671])).
% 138.16/17.97 fof(f673,plain,(
% 138.16/17.97 $false|sQ43_spl),
% 138.16/17.97 inference(forward_subsumption_resolution,[status(thm)],[f657,f193])).
% 138.16/17.97 fof(f674,plain,(
% 138.16/17.97 sQ43_spl),
% 138.16/17.97 inference(contradiction_clause,[status(thm)],[f673])).
% 138.16/17.97 fof(f692,plain,(
% 138.16/17.97 aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)),
% 138.16/17.97 inference(resolution,[status(thm)],[f208,f85])).
% 138.16/17.97 fof(f711,definition,(
% 138.16/17.97 sQ52_spl <=> (aSubsetOf0(slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f712,plain,(
% 138.16/17.97 aSubsetOf0(slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ52_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f711])).
% 138.16/17.97 fof(f718,definition,(
% 138.16/17.97 sQ54_spl <=> (aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f719,plain,(
% 138.16/17.97 aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ54_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f718])).
% 138.16/17.97 fof(f721,definition,(
% 138.16/17.97 sQ55_spl <=> (aElementOf0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f722,plain,(
% 138.16/17.97 aElementOf0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)|~sQ55_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f721])).
% 138.16/17.97 fof(f724,plain,(
% 138.16/17.97 sQ54_spl|sQ55_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f692,f718,f721])).
% 138.16/17.97 fof(f726,plain,(
% 138.16/17.97 aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.97 inference(resolution,[status(thm)],[f209,f95])).
% 138.16/17.97 fof(f727,plain,(
% 138.16/17.97 aSubsetOf0(sdtmndt0(xS,xx),xS)|aElementOf0(sK1_skl(sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))),
% 138.16/17.97 inference(resolution,[status(thm)],[f209,f90])).
% 138.16/17.97 fof(f728,plain,(
% 138.16/17.97 aSubsetOf0(slcrc0,xS)|aElementOf0(sK1_skl(slcrc0,xS),slcrc0)),
% 138.16/17.97 inference(resolution,[status(thm)],[f209,f126])).
% 138.16/17.97 fof(f737,definition,(
% 138.16/17.97 sQ58_spl <=> (aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f740,definition,(
% 138.16/17.97 sQ59_spl <=> (aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f741,plain,(
% 138.16/17.97 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ59_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f740])).
% 138.16/17.97 fof(f743,plain,(
% 138.16/17.97 sQ58_spl|sQ59_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f726,f737,f740])).
% 138.16/17.97 fof(f744,definition,(
% 138.16/17.97 sQ60_spl <=> (aSubsetOf0(sdtmndt0(xS,xx),xS))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f745,plain,(
% 138.16/17.97 aSubsetOf0(sdtmndt0(xS,xx),xS)|~sQ60_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f744])).
% 138.16/17.97 fof(f747,definition,(
% 138.16/17.97 sQ61_spl <=> (aElementOf0(sK1_skl(sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f748,plain,(
% 138.16/17.97 aElementOf0(sK1_skl(sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))|~sQ61_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f747])).
% 138.16/17.97 fof(f750,plain,(
% 138.16/17.97 sQ60_spl|sQ61_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f727,f744,f747])).
% 138.16/17.97 fof(f751,definition,(
% 138.16/17.97 sQ62_spl <=> (aSubsetOf0(slcrc0,xS))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f752,plain,(
% 138.16/17.97 aSubsetOf0(slcrc0,xS)|~sQ62_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f751])).
% 138.16/17.97 fof(f754,definition,(
% 138.16/17.97 sQ63_spl <=> (aElementOf0(sK1_skl(slcrc0,xS),slcrc0))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f755,plain,(
% 138.16/17.97 aElementOf0(sK1_skl(slcrc0,xS),slcrc0)|~sQ63_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f754])).
% 138.16/17.97 fof(f757,plain,(
% 138.16/17.97 sQ62_spl|sQ63_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f728,f751,f754])).
% 138.16/17.97 fof(f763,plain,(
% 138.16/17.97 aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.97 inference(resolution,[status(thm)],[f229,f95])).
% 138.16/17.97 fof(f765,plain,(
% 138.16/17.97 aSubsetOf0(slcrc0,sdtmndt0(xS,xx))|aElementOf0(sK1_skl(slcrc0,sdtmndt0(xS,xx)),slcrc0)),
% 138.16/17.97 inference(resolution,[status(thm)],[f229,f126])).
% 138.16/17.97 fof(f766,plain,(
% 138.16/17.97 aSubsetOf0(xS,sdtmndt0(xS,xx))|aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),xS)),
% 138.16/17.97 inference(resolution,[status(thm)],[f229,f85])).
% 138.16/17.97 fof(f774,definition,(
% 138.16/17.97 sQ67_spl <=> (aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f775,plain,(
% 138.16/17.97 aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))|~sQ67_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f774])).
% 138.16/17.97 fof(f777,definition,(
% 138.16/17.97 sQ68_spl <=> (aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f778,plain,(
% 138.16/17.97 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ68_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f777])).
% 138.16/17.97 fof(f780,plain,(
% 138.16/17.97 sQ67_spl|sQ68_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f763,f774,f777])).
% 138.16/17.97 fof(f788,definition,(
% 138.16/17.97 sQ71_spl <=> (aSubsetOf0(slcrc0,sdtmndt0(xS,xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f789,plain,(
% 138.16/17.97 aSubsetOf0(slcrc0,sdtmndt0(xS,xx))|~sQ71_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f788])).
% 138.16/17.97 fof(f791,definition,(
% 138.16/17.97 sQ72_spl <=> (aElementOf0(sK1_skl(slcrc0,sdtmndt0(xS,xx)),slcrc0))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f792,plain,(
% 138.16/17.97 aElementOf0(sK1_skl(slcrc0,sdtmndt0(xS,xx)),slcrc0)|~sQ72_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f791])).
% 138.16/17.97 fof(f794,plain,(
% 138.16/17.97 sQ71_spl|sQ72_spl),
% 138.16/17.97 inference(split_clause,[status(thm)],[f765,f788,f791])).
% 138.16/17.97 fof(f795,definition,(
% 138.16/17.97 sQ73_spl <=> (aSubsetOf0(xS,sdtmndt0(xS,xx)))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f796,plain,(
% 138.16/17.97 aSubsetOf0(xS,sdtmndt0(xS,xx))|~sQ73_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f795])).
% 138.16/17.97 fof(f798,definition,(
% 138.16/17.97 sQ74_spl <=> (aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),xS))),
% 138.16/17.97 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 138.16/17.97 fof(f799,plain,(
% 138.16/17.97 aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),xS)|~sQ74_spl),
% 138.16/17.97 inference(component_clause,[status(thm)],[f798])).
% 138.16/17.98 fof(f801,plain,(
% 138.16/17.98 sQ73_spl|sQ74_spl),
% 138.16/17.98 inference(split_clause,[status(thm)],[f766,f795,f798])).
% 138.16/17.98 fof(f802,plain,(
% 138.16/17.98 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aSet0(X0)|~aSubsetOf0(sdtmndt0(xS,xx),X0)|aSubsetOf0(sdtmndt0(xS,xx),X0))),
% 138.16/17.98 inference(resolution,[status(thm)],[f230,f223])).
% 138.16/17.98 fof(f805,plain,(
% 138.16/17.98 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,sdtmndt0(xS,xx)))),
% 138.16/17.98 inference(resolution,[status(thm)],[f230,f50])).
% 138.16/17.98 fof(f807,definition,(
% 138.16/17.98 ![X0]: (sQ75_spl <=> (~aSet0(X0)|~aSubsetOf0(sdtmndt0(xS,xx),X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)))),
% 138.16/17.98 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 138.16/17.98 fof(f810,plain,(
% 138.16/17.98 ~sQ38_spl|sQ75_spl),
% 138.16/17.98 inference(split_clause,[status(thm)],[f802,f459,f807])).
% 138.16/17.98 fof(f819,definition,(
% 138.16/17.98 ![X0]: (sQ78_spl <=> (~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,sdtmndt0(xS,xx))))),
% 138.16/17.98 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 138.16/17.98 fof(f822,plain,(
% 138.16/17.98 ~sQ38_spl|sQ78_spl),
% 138.16/17.98 inference(split_clause,[status(thm)],[f805,f459,f819])).
% 138.16/17.98 fof(f824,plain,(
% 138.16/17.98 ![X0]: (~aSet0(xS)|~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(slcrc0,X0)|~sQ62_spl)),
% 138.16/17.98 inference(resolution,[status(thm)],[f752,f223])).
% 138.16/17.98 fof(f825,plain,(
% 138.16/17.98 ~aSet0(xS)|~aSubsetOf0(xS,slcrc0)|slcrc0=xS|~sQ62_spl),
% 138.16/17.98 inference(resolution,[status(thm)],[f752,f215])).
% 138.16/17.98 fof(f827,plain,(
% 138.16/17.98 ![X0]: (~aSet0(xS)|~aElementOf0(X0,slcrc0)|aElementOf0(X0,xS)|~sQ62_spl)),
% 138.16/17.98 inference(resolution,[status(thm)],[f752,f50])).
% 138.16/17.98 fof(f829,definition,(
% 138.16/17.98 ![X0]: (sQ79_spl <=> (~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(slcrc0,X0)))),
% 138.16/17.98 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 138.16/17.98 fof(f830,plain,(
% 138.16/17.98 ![X0]: (~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(slcrc0,X0)|~sQ79_spl)),
% 138.16/17.98 inference(component_clause,[status(thm)],[f829])).
% 138.16/17.98 fof(f832,plain,(
% 138.16/17.98 ~sQ0_spl|sQ79_spl|~sQ62_spl),
% 138.16/17.98 inference(split_clause,[status(thm)],[f824,f111,f829,f751])).
% 138.16/17.98 fof(f833,definition,(
% 138.16/17.98 sQ80_spl <=> (aSubsetOf0(xS,slcrc0))),
% 138.16/17.98 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f836,plain,(
% 138.16/17.99 ~sQ0_spl|~sQ80_spl|sQ2_spl|~sQ62_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f825,f111,f833,f130,f751])).
% 138.16/17.99 fof(f838,definition,(
% 138.16/17.99 ![X0]: (sQ81_spl <=> (~aElementOf0(X0,slcrc0)|aElementOf0(X0,xS)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f841,plain,(
% 138.16/17.99 ~sQ0_spl|sQ81_spl|~sQ62_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f827,f111,f838,f751])).
% 138.16/17.99 fof(f855,definition,(
% 138.16/17.99 sQ82_spl <=> (aElementOf0(sK0_skl(sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f858,definition,(
% 138.16/17.99 sQ83_spl <=> (sK0_skl(sdtmndt0(xS,xx))=xx)),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f859,plain,(
% 138.16/17.99 sK0_skl(sdtmndt0(xS,xx))=xx|~sQ83_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f858])).
% 138.16/17.99 fof(f860,plain,(
% 138.16/17.99 ~sK0_skl(sdtmndt0(xS,xx))=xx|sQ83_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f858])).
% 138.16/17.99 fof(f864,plain,(
% 138.16/17.99 ![X0]: (~X0=sdtmndt0(sdtmndt0(xS,xx),xx)|aSet0(X0)|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f231,f115])).
% 138.16/17.99 fof(f879,plain,(
% 138.16/17.99 ![X0]: (X0=sdtpldt0(sdtmndt0(xS,xx),xx)|~aSet0(X0)|aElement0(sK2_skl(X0,xx,sdtmndt0(xS,xx)))|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f302,f115])).
% 138.16/17.99 fof(f882,plain,(
% 138.16/17.99 ![X0]: (X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|~aSet0(X0)|aElement0(sK2_skl(X0,xx,sdtpldt0(sdtmndt0(xS,xx),xx)))|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f304,f115])).
% 138.16/17.99 fof(f885,plain,(
% 138.16/17.99 ![X0]: (X0=sdtpldt0(sdtmndt0(xS,xx),xx)|~aSet0(X0)|aElementOf0(sK2_skl(X0,xx,sdtmndt0(xS,xx)),X0)|aElementOf0(sK2_skl(X0,xx,sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|sK2_skl(X0,xx,sdtmndt0(xS,xx))=xx|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f306,f115])).
% 138.16/17.99 fof(f917,plain,(
% 138.16/17.99 ![X0]: (X0=sdtpldt0(xS,xx)|~aSet0(X0)|aElement0(sK2_skl(X0,xx,xS))|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f305,f115])).
% 138.16/17.99 fof(f926,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtmndt0(sdtmndt0(xS,xx),xx)|~aElementOf0(X1,X0)|sP0_prd(X1,xx,sdtmndt0(xS,xx))|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f310,f115])).
% 138.16/17.99 fof(f927,plain,(
% 138.16/17.99 ![X0]: (~aSet0(xS)|~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)|~sQ60_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f745,f223])).
% 138.16/17.99 fof(f930,plain,(
% 138.16/17.99 ![X0]: (~aSet0(xS)|~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,xS)|~sQ60_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f745,f50])).
% 138.16/17.99 fof(f932,definition,(
% 138.16/17.99 ![X0]: (sQ90_spl <=> (~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(sdtmndt0(xS,xx),X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f935,plain,(
% 138.16/17.99 ~sQ0_spl|sQ90_spl|~sQ60_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f927,f111,f932,f744])).
% 138.16/17.99 fof(f936,definition,(
% 138.16/17.99 sQ91_spl <=> (sdtmndt0(xS,xx)=xS)),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f941,definition,(
% 138.16/17.99 ![X0]: (sQ92_spl <=> (~aElementOf0(X0,sdtmndt0(xS,xx))|aElementOf0(X0,xS)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f944,plain,(
% 138.16/17.99 ~sQ0_spl|sQ92_spl|~sQ60_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f930,f111,f941,f744])).
% 138.16/17.99 fof(f946,plain,(
% 138.16/17.99 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aSet0(X0)|~aSubsetOf0(sdtmndt0(xS,xx),X0)|aSubsetOf0(slcrc0,X0)|~sQ71_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f789,f223])).
% 138.16/17.99 fof(f947,plain,(
% 138.16/17.99 ~aSet0(sdtmndt0(xS,xx))|~aSubsetOf0(sdtmndt0(xS,xx),slcrc0)|slcrc0=sdtmndt0(xS,xx)|~sQ71_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f789,f215])).
% 138.16/17.99 fof(f949,plain,(
% 138.16/17.99 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aElementOf0(X0,slcrc0)|aElementOf0(X0,sdtmndt0(xS,xx))|~sQ71_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f789,f50])).
% 138.16/17.99 fof(f951,definition,(
% 138.16/17.99 ![X0]: (sQ93_spl <=> (~aSet0(X0)|~aSubsetOf0(sdtmndt0(xS,xx),X0)|aSubsetOf0(slcrc0,X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f954,plain,(
% 138.16/17.99 ~sQ38_spl|sQ93_spl|~sQ71_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f946,f459,f951,f788])).
% 138.16/17.99 fof(f955,definition,(
% 138.16/17.99 sQ94_spl <=> (aSubsetOf0(sdtmndt0(xS,xx),slcrc0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f958,plain,(
% 138.16/17.99 ~sQ38_spl|~sQ94_spl|sQ4_spl|~sQ71_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f947,f459,f955,f137,f788])).
% 138.16/17.99 fof(f960,definition,(
% 138.16/17.99 ![X0]: (sQ95_spl <=> (~aElementOf0(X0,slcrc0)|aElementOf0(X0,sdtmndt0(xS,xx))))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f963,plain,(
% 138.16/17.99 ~sQ38_spl|sQ95_spl|~sQ71_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f949,f459,f960,f788])).
% 138.16/17.99 fof(f967,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|~aElementOf0(X1,X0)|sP0_prd(X1,xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f312,f115])).
% 138.16/17.99 fof(f983,plain,(
% 138.16/17.99 ![X0]: (sP0_prd(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)))|sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx))=X0|~sQ9_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f176,f106])).
% 138.16/17.99 fof(f984,plain,(
% 138.16/17.99 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElement0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)))|~sQ9_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f176,f28])).
% 138.16/17.99 fof(f992,definition,(
% 138.16/17.99 ![X0]: (sQ98_spl <=> (sP0_prd(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx))=X0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f993,plain,(
% 138.16/17.99 ![X0]: (sP0_prd(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx))=X0|~sQ98_spl)),
% 138.16/17.99 inference(component_clause,[status(thm)],[f992])).
% 138.16/17.99 fof(f995,definition,(
% 138.16/17.99 sQ99_spl <=> (aElement0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f998,plain,(
% 138.16/17.99 sQ98_spl|~sQ99_spl|~sQ9_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f983,f992,f995,f175])).
% 138.16/17.99 fof(f999,plain,(
% 138.16/17.99 ~sQ41_spl|sQ99_spl|~sQ9_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f984,f648,f995,f175])).
% 138.16/17.99 fof(f1000,plain,(
% 138.16/17.99 ~slcrc0=slcrc0|~sQ63_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f755,f36])).
% 138.16/17.99 fof(f1003,plain,(
% 138.16/17.99 $false|~sQ63_spl),
% 138.16/17.99 inference(trivial_equality_resolution,[status(thm)],[f1000])).
% 138.16/17.99 fof(f1004,plain,(
% 138.16/17.99 ~sQ63_spl),
% 138.16/17.99 inference(contradiction_clause,[status(thm)],[f1003])).
% 138.16/17.99 fof(f1029,plain,(
% 138.16/17.99 ![X0]: (~X0=sdtmndt0(slcrc0,xx)|aSet0(X0)|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f179,f115])).
% 138.16/17.99 fof(f1030,plain,(
% 138.16/17.99 aSet0(sdtmndt0(slcrc0,xx))|~sQ1_spl),
% 138.16/17.99 inference(equality_resolution,[status(thm)],[f1029])).
% 138.16/17.99 fof(f1033,plain,(
% 138.16/17.99 ![X0]: (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),X0,xS)|~aElement0(sK0_skl(sdtmndt0(xS,xx)))|sK0_skl(sdtmndt0(xS,xx))=X0|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f448,f106])).
% 138.16/17.99 fof(f1036,definition,(
% 138.16/17.99 ![X0]: (sQ101_spl <=> (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),X0,xS)|sK0_skl(sdtmndt0(xS,xx))=X0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1037,plain,(
% 138.16/17.99 ![X0]: (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),X0,xS)|sK0_skl(sdtmndt0(xS,xx))=X0|~sQ101_spl)),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1036])).
% 138.16/17.99 fof(f1039,plain,(
% 138.16/17.99 sQ101_spl|~sQ37_spl|~sQ5_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1033,f1036,f455,f140])).
% 138.16/17.99 fof(f1091,plain,(
% 138.16/17.99 ![X0]: (~X0=sdtpldt0(slcrc0,xx)|aSet0(X0)|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f184,f115])).
% 138.16/17.99 fof(f1092,plain,(
% 138.16/17.99 aSet0(sdtpldt0(slcrc0,xx))|~sQ1_spl),
% 138.16/17.99 inference(equality_resolution,[status(thm)],[f1091])).
% 138.16/17.99 fof(f1105,plain,(
% 138.16/17.99 sdtpldt0(slcrc0,xx)=slcrc0|aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),sdtpldt0(slcrc0,xx))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f1092,f37])).
% 138.16/17.99 fof(f1111,plain,(
% 138.16/17.99 aSubsetOf0(sdtpldt0(slcrc0,xx),sdtpldt0(slcrc0,xx))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f1092,f56])).
% 138.16/17.99 fof(f1138,plain,(
% 138.16/17.99 sQ39_spl|sQ40_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1105,f497,f500,f114])).
% 138.16/17.99 fof(f1151,definition,(
% 138.16/17.99 sQ118_spl <=> (sdtpldt0(slcrc0,xx)=xS)),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1152,plain,(
% 138.16/17.99 sdtpldt0(slcrc0,xx)=xS|~sQ118_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1151])).
% 138.16/17.99 fof(f1163,definition,(
% 138.16/17.99 sQ121_spl <=> (aSet0(sdtpldt0(slcrc0,xx)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1165,plain,(
% 138.16/17.99 ~aSet0(sdtpldt0(slcrc0,xx))|sQ121_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1163])).
% 138.16/17.99 fof(f1214,plain,(
% 138.16/17.99 ![X0]: (sP0_prd(xx,X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(xx)|xx=X0|~sQ23_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f273,f106])).
% 138.16/17.99 fof(f1217,definition,(
% 138.16/17.99 ![X0]: (sQ130_spl <=> (sP0_prd(xx,X0,sdtpldt0(sdtmndt0(xS,xx),xx))|xx=X0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1220,plain,(
% 138.16/17.99 sQ130_spl|~sQ1_spl|~sQ23_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1214,f1217,f114,f272])).
% 138.16/17.99 fof(f1274,plain,(
% 138.16/17.99 aElementOf0(xx,sdtpldt0(xS,xx))|~sQ1_spl),
% 138.16/17.99 inference(equality_resolution,[status(thm)],[f615])).
% 138.16/17.99 fof(f1277,plain,(
% 138.16/17.99 ![X0]: (sP0_prd(sK0_skl(sdtpldt0(slcrc0,xx)),X0,sdtpldt0(slcrc0,xx))|~aElement0(sK0_skl(sdtpldt0(slcrc0,xx)))|sK0_skl(sdtpldt0(slcrc0,xx))=X0|~sQ40_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f501,f106])).
% 138.16/17.99 fof(f1278,plain,(
% 138.16/17.99 ~aSet0(sdtpldt0(slcrc0,xx))|aElement0(sK0_skl(sdtpldt0(slcrc0,xx)))|~sQ40_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f501,f28])).
% 138.16/17.99 fof(f1279,definition,(
% 138.16/17.99 ![X0]: (sQ139_spl <=> (sP0_prd(sK0_skl(sdtpldt0(slcrc0,xx)),X0,sdtpldt0(slcrc0,xx))|sK0_skl(sdtpldt0(slcrc0,xx))=X0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1280,plain,(
% 138.16/17.99 ![X0]: (sP0_prd(sK0_skl(sdtpldt0(slcrc0,xx)),X0,sdtpldt0(slcrc0,xx))|sK0_skl(sdtpldt0(slcrc0,xx))=X0|~sQ139_spl)),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1279])).
% 138.16/17.99 fof(f1282,definition,(
% 138.16/17.99 sQ140_spl <=> (aElement0(sK0_skl(sdtpldt0(slcrc0,xx))))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1283,plain,(
% 138.16/17.99 aElement0(sK0_skl(sdtpldt0(slcrc0,xx)))|~sQ140_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1282])).
% 138.16/17.99 fof(f1285,plain,(
% 138.16/17.99 sQ139_spl|~sQ140_spl|~sQ40_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1277,f1279,f1282,f500])).
% 138.16/17.99 fof(f1286,plain,(
% 138.16/17.99 ~sQ121_spl|sQ140_spl|~sQ40_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1278,f1163,f1282,f500])).
% 138.16/17.99 fof(f1294,plain,(
% 138.16/17.99 ![X0]: (sP0_prd(xx,X0,sdtpldt0(xS,xx))|~aElement0(xx)|xx=X0|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f1274,f106])).
% 138.16/17.99 fof(f1296,definition,(
% 138.16/17.99 ![X0]: (sQ141_spl <=> (sP0_prd(xx,X0,sdtpldt0(xS,xx))|xx=X0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1299,plain,(
% 138.16/17.99 sQ141_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1294,f1296,f114])).
% 138.16/17.99 fof(f1340,plain,(
% 138.16/17.99 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~X0=sdtpldt0(sdtmndt0(xS,xx),xx)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ1_spl|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f163,f141])).
% 138.16/17.99 fof(f1341,plain,(
% 138.16/17.99 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,xx)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ1_spl|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f163,f448])).
% 138.16/17.99 fof(f1342,plain,(
% 138.16/17.99 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),X0)|~sQ1_spl|~sQ9_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f163,f176])).
% 138.16/17.99 fof(f1344,plain,(
% 138.16/17.99 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,xx)|aElementOf0(sK0_skl(xS),X0)|~sQ1_spl|~sQ3_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f163,f134])).
% 138.16/17.99 fof(f1346,plain,(
% 138.16/17.99 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(xx,X0)|~sQ1_spl|~sQ23_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f163,f273])).
% 138.16/17.99 fof(f1347,plain,(
% 138.16/17.99 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,xx)|aElementOf0(xx,X0)|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f163,f86])).
% 138.16/17.99 fof(f1348,definition,(
% 138.16/17.99 ![X0]: (sQ144_spl <=> (~X0=sdtpldt0(sdtmndt0(xS,xx),xx)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1351,plain,(
% 138.16/17.99 ~sQ38_spl|sQ144_spl|~sQ1_spl|~sQ5_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1340,f459,f1348,f114,f140])).
% 138.16/17.99 fof(f1352,definition,(
% 138.16/17.99 ![X0]: (sQ145_spl <=> (~X0=sdtpldt0(xS,xx)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1355,plain,(
% 138.16/17.99 ~sQ0_spl|sQ145_spl|~sQ1_spl|~sQ5_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1341,f111,f1352,f114,f140])).
% 138.16/17.99 fof(f1356,definition,(
% 138.16/17.99 ![X0]: (sQ146_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1359,plain,(
% 138.16/17.99 ~sQ41_spl|sQ146_spl|~sQ1_spl|~sQ9_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1342,f648,f1356,f114,f175])).
% 138.16/17.99 fof(f1364,definition,(
% 138.16/17.99 ![X0]: (sQ148_spl <=> (~X0=sdtpldt0(xS,xx)|aElementOf0(sK0_skl(xS),X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1367,plain,(
% 138.16/17.99 ~sQ0_spl|sQ148_spl|~sQ1_spl|~sQ3_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1344,f111,f1364,f114,f133])).
% 138.16/17.99 fof(f1372,definition,(
% 138.16/17.99 ![X0]: (sQ150_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(xx,X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1375,plain,(
% 138.16/17.99 ~sQ41_spl|sQ150_spl|~sQ1_spl|~sQ23_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1346,f648,f1372,f114,f272])).
% 138.16/17.99 fof(f1376,definition,(
% 138.16/17.99 ![X0]: (sQ151_spl <=> (~X0=sdtpldt0(xS,xx)|aElementOf0(xx,X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1379,plain,(
% 138.16/17.99 ~sQ0_spl|sQ151_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1347,f111,f1376,f114])).
% 138.16/17.99 fof(f1383,plain,(
% 138.16/17.99 ![X0]: (~X0=sdtpldt0(slcrc0,xx)|aElementOf0(xx,X0)|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f180,f115])).
% 138.16/17.99 fof(f1384,plain,(
% 138.16/17.99 ![X0]: (~X0=slcrc0|aElementOf0(xx,X0)|~sQ39_spl|~sQ1_spl)),
% 138.16/17.99 inference(forward_demodulation,[status(thm)],[f498,f1383])).
% 138.16/17.99 fof(f1385,plain,(
% 138.16/17.99 ![X0]: (~X0=slcrc0|~sQ39_spl|~sQ1_spl)),
% 138.16/17.99 inference(forward_subsumption_resolution,[status(thm)],[f1384,f36])).
% 138.16/17.99 fof(f1389,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtpldt0(slcrc0,xx)|~aElementOf0(X1,X0)|aElementOf0(X1,slcrc0)|X1=xx|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f182,f115])).
% 138.16/17.99 fof(f1397,plain,(
% 138.16/17.99 $false|~sQ1_spl|~sQ39_spl),
% 138.16/17.99 inference(backward_subsumption_resolution,[status(thm)],[f498,f1385])).
% 138.16/17.99 fof(f1402,plain,(
% 138.16/17.99 ~sQ1_spl|~sQ39_spl),
% 138.16/17.99 inference(contradiction_clause,[status(thm)],[f1397])).
% 138.16/17.99 fof(f1422,plain,(
% 138.16/17.99 ![X0]: (~aSet0(sdtpldt0(slcrc0,xx))|~X0=sdtpldt0(sdtpldt0(slcrc0,xx),xx)|aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),X0)|~sQ40_spl|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f501,f163])).
% 138.16/17.99 fof(f1425,definition,(
% 138.16/17.99 ![X0]: (sQ152_spl <=> (~X0=sdtpldt0(sdtpldt0(slcrc0,xx),xx)|aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1428,plain,(
% 138.16/17.99 ~sQ121_spl|sQ152_spl|~sQ40_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1422,f1163,f1425,f500,f114])).
% 138.16/17.99 fof(f1432,plain,(
% 138.16/17.99 aElementOf0(sK0_skl(sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ5_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f141,f314])).
% 138.16/17.99 fof(f1435,plain,(
% 138.16/17.99 ~sdtmndt0(xS,xx)=slcrc0|~sQ5_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f141,f36])).
% 138.16/17.99 fof(f1482,definition,(
% 138.16/17.99 sQ157_spl <=> (sdtmndt0(xS,xx)=sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1492,definition,(
% 138.16/17.99 sQ159_spl <=> (xS=sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1493,plain,(
% 138.16/17.99 xS=sdtpldt0(sdtmndt0(xS,xx),xx)|~sQ159_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1492])).
% 138.16/17.99 fof(f1501,plain,(
% 138.16/17.99 ![X0,X1]: (sK0_skl(xS)=X0|~aSet0(xS)|~aElement0(X0)|~X1=sdtmndt0(xS,X0)|aElementOf0(sK0_skl(xS),X1)|~sQ30_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f353,f82])).
% 138.16/17.99 fof(f1508,definition,(
% 138.16/17.99 ![X0,X1]: (sQ161_spl <=> (sK0_skl(xS)=X0|~aElement0(X0)|~X1=sdtmndt0(xS,X0)|aElementOf0(sK0_skl(xS),X1)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1511,plain,(
% 138.16/17.99 sQ161_spl|~sQ0_spl|~sQ30_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1501,f1508,f111,f352])).
% 138.16/17.99 fof(f1531,plain,(
% 138.16/17.99 aSubsetOf0(sdtpldt0(slcrc0,xx),slcrc0)|aElementOf0(sK1_skl(sdtpldt0(slcrc0,xx),slcrc0),sdtpldt0(slcrc0,xx))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f207,f1092])).
% 138.16/17.99 fof(f1533,plain,(
% 138.16/17.99 aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.99 inference(resolution,[status(thm)],[f207,f95])).
% 138.16/17.99 fof(f1534,plain,(
% 138.16/17.99 aSubsetOf0(sdtmndt0(xS,xx),slcrc0)|aElementOf0(sK1_skl(sdtmndt0(xS,xx),slcrc0),sdtmndt0(xS,xx))),
% 138.16/17.99 inference(resolution,[status(thm)],[f207,f90])).
% 138.16/17.99 fof(f1536,plain,(
% 138.16/17.99 aSubsetOf0(xS,slcrc0)|aElementOf0(sK1_skl(xS,slcrc0),xS)),
% 138.16/17.99 inference(resolution,[status(thm)],[f207,f85])).
% 138.16/17.99 fof(f1537,definition,(
% 138.16/17.99 sQ162_spl <=> (aSubsetOf0(sdtpldt0(slcrc0,xx),slcrc0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1538,plain,(
% 138.16/17.99 aSubsetOf0(sdtpldt0(slcrc0,xx),slcrc0)|~sQ162_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1537])).
% 138.16/17.99 fof(f1540,definition,(
% 138.16/17.99 sQ163_spl <=> (aElementOf0(sK1_skl(sdtpldt0(slcrc0,xx),slcrc0),sdtpldt0(slcrc0,xx)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1543,plain,(
% 138.16/17.99 sQ162_spl|sQ163_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1531,f1537,f1540,f114])).
% 138.16/17.99 fof(f1551,definition,(
% 138.16/17.99 sQ166_spl <=> (aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1554,definition,(
% 138.16/17.99 sQ167_spl <=> (aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1555,plain,(
% 138.16/17.99 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ167_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1554])).
% 138.16/17.99 fof(f1557,plain,(
% 138.16/17.99 sQ166_spl|sQ167_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1533,f1551,f1554])).
% 138.16/17.99 fof(f1558,definition,(
% 138.16/17.99 sQ168_spl <=> (aElementOf0(sK1_skl(sdtmndt0(xS,xx),slcrc0),sdtmndt0(xS,xx)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1559,plain,(
% 138.16/17.99 aElementOf0(sK1_skl(sdtmndt0(xS,xx),slcrc0),sdtmndt0(xS,xx))|~sQ168_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1558])).
% 138.16/17.99 fof(f1561,plain,(
% 138.16/17.99 sQ94_spl|sQ168_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1534,f955,f1558])).
% 138.16/17.99 fof(f1562,definition,(
% 138.16/17.99 sQ169_spl <=> (aElementOf0(sK1_skl(slcrc0,slcrc0),slcrc0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1563,plain,(
% 138.16/17.99 aElementOf0(sK1_skl(slcrc0,slcrc0),slcrc0)|~sQ169_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1562])).
% 138.16/17.99 fof(f1566,definition,(
% 138.16/17.99 sQ170_spl <=> (aElementOf0(sK1_skl(xS,slcrc0),xS))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1567,plain,(
% 138.16/17.99 aElementOf0(sK1_skl(xS,slcrc0),xS)|~sQ170_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1566])).
% 138.16/17.99 fof(f1569,plain,(
% 138.16/17.99 sQ80_spl|sQ170_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1536,f833,f1566])).
% 138.16/17.99 fof(f1573,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtmndt0(slcrc0,xx)|~aElementOf0(X1,X0)|sP0_prd(X1,xx,slcrc0)|~sQ1_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f311,f115])).
% 138.16/17.99 fof(f1612,plain,(
% 138.16/17.99 aSet0(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~sQ1_spl),
% 138.16/17.99 inference(equality_resolution,[status(thm)],[f619])).
% 138.16/17.99 fof(f1613,plain,(
% 138.16/17.99 aElementOf0(xx,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~sQ1_spl),
% 138.16/17.99 inference(equality_resolution,[status(thm)],[f636])).
% 138.16/17.99 fof(f1614,plain,(
% 138.16/17.99 $false|~sQ1_spl|sQ121_spl),
% 138.16/17.99 inference(forward_subsumption_resolution,[status(thm)],[f1165,f1092])).
% 138.16/17.99 fof(f1615,plain,(
% 138.16/17.99 ~sQ1_spl|sQ121_spl),
% 138.16/17.99 inference(contradiction_clause,[status(thm)],[f1614])).
% 138.16/17.99 fof(f1624,definition,(
% 138.16/17.99 sQ175_spl <=> (aElementOf0(sK0_skl(sdtmndt0(xS,xx)),xS))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1649,definition,(
% 138.16/17.99 sQ178_spl <=> (sdtmndt0(xS,xx)=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1691,plain,(
% 138.16/17.99 aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~sQ1_spl),
% 138.16/17.99 inference(equality_resolution,[status(thm)],[f642])).
% 138.16/17.99 fof(f1697,plain,(
% 138.16/17.99 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|xS=sdtpldt0(sdtmndt0(xS,xx),xx)|~sQ54_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f719,f215])).
% 138.16/17.99 fof(f1705,plain,(
% 138.16/17.99 ~sQ41_spl|~sQ58_spl|sQ159_spl|~sQ54_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1697,f648,f737,f1492,f718])).
% 138.16/17.99 fof(f1712,plain,(
% 138.16/17.99 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X0)|~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aSubsetOf0(slcrc0,X0)|~sQ52_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f712,f223])).
% 138.16/17.99 fof(f1713,plain,(
% 138.16/17.99 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)|slcrc0=sdtpldt0(sdtmndt0(xS,xx),xx)|~sQ52_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f712,f215])).
% 138.16/17.99 fof(f1715,plain,(
% 138.16/17.99 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(X0,slcrc0)|aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ52_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f712,f50])).
% 138.16/17.99 fof(f1717,definition,(
% 138.16/17.99 ![X0]: (sQ186_spl <=> (~aSet0(X0)|~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aSubsetOf0(slcrc0,X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1720,plain,(
% 138.16/17.99 ~sQ41_spl|sQ186_spl|~sQ52_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1712,f648,f1717,f711])).
% 138.16/17.99 fof(f1721,plain,(
% 138.16/17.99 ~sQ41_spl|~sQ166_spl|sQ8_spl|~sQ52_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1713,f648,f1551,f172,f711])).
% 138.16/17.99 fof(f1723,definition,(
% 138.16/17.99 ![X0]: (sQ187_spl <=> (~aElementOf0(X0,slcrc0)|aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1726,plain,(
% 138.16/17.99 ~sQ41_spl|sQ187_spl|~sQ52_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1715,f648,f1723,f711])).
% 138.16/17.99 fof(f1787,plain,(
% 138.16/17.99 aSet0(sdtmndt0(sdtmndt0(xS,xx),xx))|~sQ1_spl),
% 138.16/17.99 inference(equality_resolution,[status(thm)],[f864])).
% 138.16/17.99 fof(f1790,plain,(
% 138.16/17.99 ![X0]: (xx=sK0_skl(sdtmndt0(xS,xx))|~X0=sdtmndt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)|~sQ5_spl|~sQ35_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f393])).
% 138.16/17.99 fof(f1792,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtmndt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|~aElementOf0(X1,X0)|sP0_prd(X1,sK0_skl(sdtmndt0(xS,xx)),slcrc0)|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f311])).
% 138.16/17.99 fof(f1794,plain,(
% 138.16/17.99 ![X0]: (X0=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|~aSet0(X0)|aElement0(sK2_skl(X0,sK0_skl(sdtmndt0(xS,xx)),slcrc0))|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f303])).
% 138.16/17.99 fof(f1796,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|~aElementOf0(X1,X0)|aElementOf0(X1,slcrc0)|X1=sK0_skl(sdtmndt0(xS,xx))|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f182])).
% 138.16/17.99 fof(f1803,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtmndt0(xS,sK0_skl(sdtmndt0(xS,xx)))|~aElementOf0(X1,X0)|sP0_prd(X1,sK0_skl(sdtmndt0(xS,xx)),xS)|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f313])).
% 138.16/17.99 fof(f1804,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|~aElementOf0(X1,X0)|sP0_prd(X1,sK0_skl(sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f312])).
% 138.16/17.99 fof(f1805,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtmndt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|~aElementOf0(X1,X0)|sP0_prd(X1,sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f310])).
% 138.16/17.99 fof(f1811,plain,(
% 138.16/17.99 ![X0]: (X0=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|~aSet0(X0)|aElement0(sK2_skl(X0,sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f302])).
% 138.16/17.99 fof(f1814,plain,(
% 138.16/17.99 ![X0,X1]: (~X0=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|~aElementOf0(X1,X0)|aElementOf0(X1,sdtmndt0(xS,xx))|X1=sK0_skl(sdtmndt0(xS,xx))|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f234])).
% 138.16/17.99 fof(f1828,plain,(
% 138.16/17.99 ![X0,X1,X2]: (~aSet0(X0)|~X1=sdtpldt0(X0,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(X2,X1)|~aElementOf0(X2,X0)|~sQ5_spl)),
% 138.16/17.99 inference(resolution,[status(thm)],[f447,f162])).
% 138.16/17.99 fof(f1829,definition,(
% 138.16/17.99 ![X0]: (sQ196_spl <=> (~X0=sdtmndt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1832,plain,(
% 138.16/17.99 sQ83_spl|sQ196_spl|~sQ5_spl|~sQ35_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1790,f858,f1829,f140,f392])).
% 138.16/17.99 fof(f1834,plain,(
% 138.16/17.99 $false|~sQ5_spl|~sQ83_spl),
% 138.16/17.99 inference(forward_subsumption_resolution,[status(thm)],[f859,f445])).
% 138.16/17.99 fof(f1835,plain,(
% 138.16/17.99 ~sQ5_spl|~sQ83_spl),
% 138.16/17.99 inference(contradiction_clause,[status(thm)],[f1834])).
% 138.16/17.99 fof(f1839,plain,(
% 138.16/17.99 sdtmndt0(xS,xx)=sdtpldt0(sdtmndt0(xS,xx),xx)|aElement0(sK2_skl(sdtmndt0(xS,xx),xx,sdtmndt0(xS,xx)))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f879,f90])).
% 138.16/17.99 fof(f1840,plain,(
% 138.16/17.99 slcrc0=sdtpldt0(sdtmndt0(xS,xx),xx)|aElement0(sK2_skl(slcrc0,xx,sdtmndt0(xS,xx)))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f879,f126])).
% 138.16/17.99 fof(f1841,plain,(
% 138.16/17.99 xS=sdtpldt0(sdtmndt0(xS,xx),xx)|aElement0(sK2_skl(xS,xx,sdtmndt0(xS,xx)))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f879,f85])).
% 138.16/17.99 fof(f1854,definition,(
% 138.16/17.99 sQ200_spl <=> (aElement0(sK2_skl(sdtmndt0(xS,xx),xx,sdtmndt0(xS,xx))))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1857,plain,(
% 138.16/17.99 sQ157_spl|sQ200_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1839,f1482,f1854,f114])).
% 138.16/17.99 fof(f1858,definition,(
% 138.16/17.99 sQ201_spl <=> (aElement0(sK2_skl(slcrc0,xx,sdtmndt0(xS,xx))))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1861,plain,(
% 138.16/17.99 sQ8_spl|sQ201_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1840,f172,f1858,f114])).
% 138.16/17.99 fof(f1862,definition,(
% 138.16/17.99 sQ202_spl <=> (aElement0(sK2_skl(xS,xx,sdtmndt0(xS,xx))))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1865,plain,(
% 138.16/17.99 sQ159_spl|sQ202_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1841,f1492,f1862,f114])).
% 138.16/17.99 fof(f1866,plain,(
% 138.16/17.99 $false|~sQ159_spl),
% 138.16/17.99 inference(forward_subsumption_resolution,[status(thm)],[f1493,f100])).
% 138.16/17.99 fof(f1867,plain,(
% 138.16/17.99 ~sQ159_spl),
% 138.16/17.99 inference(contradiction_clause,[status(thm)],[f1866])).
% 138.16/17.99 fof(f1871,plain,(
% 138.16/17.99 sdtmndt0(xS,xx)=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElement0(sK2_skl(sdtmndt0(xS,xx),xx,sdtpldt0(sdtmndt0(xS,xx),xx)))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f882,f90])).
% 138.16/17.99 fof(f1872,plain,(
% 138.16/17.99 slcrc0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElement0(sK2_skl(slcrc0,xx,sdtpldt0(sdtmndt0(xS,xx),xx)))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f882,f126])).
% 138.16/17.99 fof(f1886,definition,(
% 138.16/17.99 sQ206_spl <=> (aElement0(sK2_skl(sdtmndt0(xS,xx),xx,sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1889,plain,(
% 138.16/17.99 sQ178_spl|sQ206_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1871,f1649,f1886,f114])).
% 138.16/17.99 fof(f1890,definition,(
% 138.16/17.99 sQ207_spl <=> (slcrc0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1891,plain,(
% 138.16/17.99 slcrc0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|~sQ207_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1890])).
% 138.16/17.99 fof(f1893,definition,(
% 138.16/17.99 sQ208_spl <=> (aElement0(sK2_skl(slcrc0,xx,sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1896,plain,(
% 138.16/17.99 sQ207_spl|sQ208_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1872,f1890,f1893,f114])).
% 138.16/17.99 fof(f1906,plain,(
% 138.16/17.99 xS=sdtpldt0(sdtmndt0(xS,xx),xx)|aElementOf0(sK2_skl(xS,xx,sdtmndt0(xS,xx)),xS)|aElementOf0(sK2_skl(xS,xx,sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|sK2_skl(xS,xx,sdtmndt0(xS,xx))=xx|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f885,f85])).
% 138.16/17.99 fof(f1944,definition,(
% 138.16/17.99 sQ221_spl <=> (aElementOf0(sK2_skl(slcrc0,xx,sdtmndt0(xS,xx)),slcrc0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1945,plain,(
% 138.16/17.99 aElementOf0(sK2_skl(slcrc0,xx,sdtmndt0(xS,xx)),slcrc0)|~sQ221_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1944])).
% 138.16/17.99 fof(f1954,definition,(
% 138.16/17.99 sQ224_spl <=> (aElementOf0(sK2_skl(xS,xx,sdtmndt0(xS,xx)),xS))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1955,plain,(
% 138.16/17.99 aElementOf0(sK2_skl(xS,xx,sdtmndt0(xS,xx)),xS)|~sQ224_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1954])).
% 138.16/17.99 fof(f1957,definition,(
% 138.16/17.99 sQ225_spl <=> (aElementOf0(sK2_skl(xS,xx,sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1958,plain,(
% 138.16/17.99 aElementOf0(sK2_skl(xS,xx,sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~sQ225_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1957])).
% 138.16/17.99 fof(f1960,definition,(
% 138.16/17.99 sQ226_spl <=> (sK2_skl(xS,xx,sdtmndt0(xS,xx))=xx)),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f1961,plain,(
% 138.16/17.99 sK2_skl(xS,xx,sdtmndt0(xS,xx))=xx|~sQ226_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f1960])).
% 138.16/17.99 fof(f1963,plain,(
% 138.16/17.99 sQ159_spl|sQ224_spl|sQ225_spl|sQ226_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f1906,f1492,f1954,f1957,f1960,f114])).
% 138.16/17.99 fof(f1990,plain,(
% 138.16/17.99 ~slcrc0=slcrc0|~sQ32_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f376,f36])).
% 138.16/17.99 fof(f2000,plain,(
% 138.16/17.99 $false|~sQ32_spl),
% 138.16/17.99 inference(trivial_equality_resolution,[status(thm)],[f1990])).
% 138.16/17.99 fof(f2001,plain,(
% 138.16/17.99 ~sQ32_spl),
% 138.16/17.99 inference(contradiction_clause,[status(thm)],[f2000])).
% 138.16/17.99 fof(f2006,plain,(
% 138.16/17.99 slcrc0=sdtpldt0(xS,xx)|aElement0(sK2_skl(slcrc0,xx,xS))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f917,f126])).
% 138.16/17.99 fof(f2024,definition,(
% 138.16/17.99 sQ231_spl <=> (aElement0(sK2_skl(slcrc0,xx,xS)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f2027,plain,(
% 138.16/17.99 sQ28_spl|sQ231_spl|~sQ1_spl),
% 138.16/17.99 inference(split_clause,[status(thm)],[f2006,f335,f2024,f114])).
% 138.16/17.99 fof(f2075,definition,(
% 138.16/17.99 sQ244_spl <=> (aElementOf0(sK2_skl(slcrc0,xx,sdtpldt0(sdtmndt0(xS,xx),xx)),slcrc0))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f2076,plain,(
% 138.16/17.99 aElementOf0(sK2_skl(slcrc0,xx,sdtpldt0(sdtmndt0(xS,xx),xx)),slcrc0)|~sQ244_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f2075])).
% 138.16/17.99 fof(f2163,plain,(
% 138.16/17.99 ~sdtpldt0(xS,xx)=sdtmndt0(sdtmndt0(xS,xx),xx)|sP0_prd(xx,xx,sdtmndt0(xS,xx))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f926,f1274])).
% 138.16/17.99 fof(f2164,plain,(
% 138.16/17.99 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(sdtmndt0(xS,xx),xx)|sP0_prd(xx,xx,sdtmndt0(xS,xx))|~sQ1_spl|~sQ23_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f926,f273])).
% 138.16/17.99 fof(f2165,plain,(
% 138.16/17.99 ~xS=sdtmndt0(sdtmndt0(xS,xx),xx)|sP0_prd(xx,xx,sdtmndt0(xS,xx))|~sQ1_spl),
% 138.16/17.99 inference(resolution,[status(thm)],[f926,f86])).
% 138.16/17.99 fof(f2173,definition,(
% 138.16/17.99 sQ269_spl <=> (sdtpldt0(slcrc0,xx)=sdtmndt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f2180,definition,(
% 138.16/17.99 sQ271_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f2191,definition,(
% 138.16/17.99 sQ274_spl <=> (xS=sdtmndt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f2195,definition,(
% 138.16/17.99 sQ275_spl <=> (sdtpldt0(xS,xx)=sdtmndt0(sdtmndt0(xS,xx),xx))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f2198,definition,(
% 138.16/17.99 sQ276_spl <=> (sP0_prd(xx,xx,sdtmndt0(xS,xx)))),
% 138.16/17.99 introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition])).
% 138.16/17.99 fof(f2199,plain,(
% 138.16/17.99 sP0_prd(xx,xx,sdtmndt0(xS,xx))|~sQ276_spl),
% 138.16/17.99 inference(component_clause,[status(thm)],[f2198])).
% 138.16/18.00 fof(f2201,plain,(
% 138.16/18.00 ~sQ275_spl|sQ276_spl|~sQ1_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2163,f2195,f2198,f114])).
% 138.16/18.00 fof(f2202,plain,(
% 138.16/18.00 ~sQ271_spl|sQ276_spl|~sQ1_spl|~sQ23_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2164,f2180,f2198,f114,f272])).
% 138.16/18.00 fof(f2203,plain,(
% 138.16/18.00 ~sQ274_spl|sQ276_spl|~sQ1_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2165,f2191,f2198,f114])).
% 138.16/18.00 fof(f2204,plain,(
% 138.16/18.00 $false|~sQ276_spl),
% 138.16/18.00 inference(forward_subsumption_resolution,[status(thm)],[f2199,f109])).
% 138.16/18.00 fof(f2205,plain,(
% 138.16/18.00 ~sQ276_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f2204])).
% 138.16/18.00 fof(f2209,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(sdtmndt0(xS,xx),xS),xS)|~sQ61_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f748,f92])).
% 138.16/18.00 fof(f2236,definition,(
% 138.16/18.00 sQ281_spl <=> (aElementOf0(sK1_skl(sdtmndt0(xS,xx),xS),xS))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2237,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(sdtmndt0(xS,xx),xS),xS)|~sQ281_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2236])).
% 138.16/18.00 fof(f2252,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~aElement0(sK1_skl(xS,sdtmndt0(xS,xx)))|sK1_skl(xS,sdtmndt0(xS,xx))=xx|~sQ74_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f799,f94])).
% 138.16/18.00 fof(f2261,plain,(
% 138.16/18.00 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,xx)|aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),X0)|~sQ74_spl|~sQ1_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f799,f163])).
% 138.16/18.00 fof(f2262,plain,(
% 138.16/18.00 ![X0]: (sP0_prd(sK1_skl(xS,sdtmndt0(xS,xx)),X0,xS)|~aElement0(sK1_skl(xS,sdtmndt0(xS,xx)))|sK1_skl(xS,sdtmndt0(xS,xx))=X0|~sQ74_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f799,f106])).
% 138.16/18.00 fof(f2263,plain,(
% 138.16/18.00 ~aSet0(xS)|aElement0(sK1_skl(xS,sdtmndt0(xS,xx)))|~sQ74_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f799,f28])).
% 138.16/18.00 fof(f2264,definition,(
% 138.16/18.00 sQ284_spl <=> (aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2265,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~sQ284_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2264])).
% 138.16/18.00 fof(f2267,definition,(
% 138.16/18.00 sQ285_spl <=> (aElement0(sK1_skl(xS,sdtmndt0(xS,xx))))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2270,definition,(
% 138.16/18.00 sQ286_spl <=> (sK1_skl(xS,sdtmndt0(xS,xx))=xx)),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2271,plain,(
% 138.16/18.00 sK1_skl(xS,sdtmndt0(xS,xx))=xx|~sQ286_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2270])).
% 138.16/18.00 fof(f2273,plain,(
% 138.16/18.00 sQ284_spl|~sQ285_spl|sQ286_spl|~sQ74_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2252,f2264,f2267,f2270,f798])).
% 138.16/18.00 fof(f2279,definition,(
% 138.16/18.00 sQ288_spl <=> (aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2280,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ288_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2279])).
% 138.16/18.00 fof(f2281,plain,(
% 138.16/18.00 ~aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|sQ288_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2279])).
% 138.16/18.00 fof(f2287,definition,(
% 138.16/18.00 ![X0]: (sQ289_spl <=> (~X0=sdtpldt0(xS,xx)|aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),X0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2290,plain,(
% 138.16/18.00 ~sQ0_spl|sQ289_spl|~sQ74_spl|~sQ1_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2261,f111,f2287,f798,f114])).
% 138.16/18.00 fof(f2291,definition,(
% 138.16/18.00 ![X0]: (sQ290_spl <=> (sP0_prd(sK1_skl(xS,sdtmndt0(xS,xx)),X0,xS)|sK1_skl(xS,sdtmndt0(xS,xx))=X0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2292,plain,(
% 138.16/18.00 ![X0]: (sP0_prd(sK1_skl(xS,sdtmndt0(xS,xx)),X0,xS)|sK1_skl(xS,sdtmndt0(xS,xx))=X0|~sQ290_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2291])).
% 138.16/18.00 fof(f2294,plain,(
% 138.16/18.00 sQ290_spl|~sQ285_spl|~sQ74_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2262,f2291,f2267,f798])).
% 138.16/18.00 fof(f2295,plain,(
% 138.16/18.00 ~sQ0_spl|sQ285_spl|~sQ74_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2263,f111,f2267,f798])).
% 138.16/18.00 fof(f2304,plain,(
% 138.16/18.00 ~slcrc0=slcrc0|~sQ72_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f792,f36])).
% 138.16/18.00 fof(f2336,plain,(
% 138.16/18.00 $false|~sQ72_spl),
% 138.16/18.00 inference(trivial_equality_resolution,[status(thm)],[f2304])).
% 138.16/18.00 fof(f2337,plain,(
% 138.16/18.00 ~sQ72_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f2336])).
% 138.16/18.00 fof(f2450,definition,(
% 138.16/18.00 sQ298_spl <=> (aElementOf0(xx,sdtpldt0(slcrc0,xx)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2451,plain,(
% 138.16/18.00 aElementOf0(xx,sdtpldt0(slcrc0,xx))|~sQ298_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2450])).
% 138.16/18.00 fof(f2455,definition,(
% 138.16/18.00 sQ299_spl <=> (aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2456,plain,(
% 138.16/18.00 aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),slcrc0)|~sQ299_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2455])).
% 138.16/18.00 fof(f2470,plain,(
% 138.16/18.00 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,xx)|aElementOf0(sK1_skl(xS,slcrc0),X0)|~sQ170_spl|~sQ1_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f1567,f163])).
% 138.16/18.00 fof(f2471,plain,(
% 138.16/18.00 ![X0]: (sP0_prd(sK1_skl(xS,slcrc0),X0,xS)|~aElement0(sK1_skl(xS,slcrc0))|sK1_skl(xS,slcrc0)=X0|~sQ170_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f1567,f106])).
% 138.16/18.00 fof(f2472,plain,(
% 138.16/18.00 ~aSet0(xS)|aElement0(sK1_skl(xS,slcrc0))|~sQ170_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f1567,f28])).
% 138.16/18.00 fof(f2473,definition,(
% 138.16/18.00 sQ300_spl <=> (aElementOf0(sK1_skl(xS,slcrc0),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2474,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(xS,slcrc0),slcrc0)|~sQ300_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2473])).
% 138.16/18.00 fof(f2476,definition,(
% 138.16/18.00 sQ301_spl <=> (aElement0(sK1_skl(xS,slcrc0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2477,plain,(
% 138.16/18.00 aElement0(sK1_skl(xS,slcrc0))|~sQ301_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2476])).
% 138.16/18.00 fof(f2485,definition,(
% 138.16/18.00 ![X0]: (sQ303_spl <=> (~X0=sdtpldt0(xS,xx)|aElementOf0(sK1_skl(xS,slcrc0),X0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2488,plain,(
% 138.16/18.00 ~sQ0_spl|sQ303_spl|~sQ170_spl|~sQ1_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2470,f111,f2485,f1566,f114])).
% 138.16/18.00 fof(f2489,definition,(
% 138.16/18.00 ![X0]: (sQ304_spl <=> (sP0_prd(sK1_skl(xS,slcrc0),X0,xS)|sK1_skl(xS,slcrc0)=X0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2492,plain,(
% 138.16/18.00 sQ304_spl|~sQ301_spl|~sQ170_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2471,f2489,f2476,f1566])).
% 138.16/18.00 fof(f2493,plain,(
% 138.16/18.00 ~sQ0_spl|sQ301_spl|~sQ170_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2472,f111,f2476,f1566])).
% 138.16/18.00 fof(f2573,definition,(
% 138.16/18.00 sQ310_spl <=> (aElementOf0(sK1_skl(slcrc0,sdtpldt0(slcrc0,xx)),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2574,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(slcrc0,sdtpldt0(slcrc0,xx)),slcrc0)|~sQ310_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2573])).
% 138.16/18.00 fof(f2581,plain,(
% 138.16/18.00 $false|~sQ4_spl|~sQ118_spl),
% 138.16/18.00 inference(forward_subsumption_resolution,[status(thm)],[f1152,f472])).
% 138.16/18.00 fof(f2582,plain,(
% 138.16/18.00 ~sQ4_spl|~sQ118_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f2581])).
% 138.16/18.00 fof(f2589,plain,(
% 138.16/18.00 ![X0]: (~aSet0(slcrc0)|~aElementOf0(X0,sdtpldt0(slcrc0,xx))|aElementOf0(X0,slcrc0)|~sQ162_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f1538,f50])).
% 138.16/18.00 fof(f2597,definition,(
% 138.16/18.00 ![X0]: (sQ313_spl <=> (~aElementOf0(X0,sdtpldt0(slcrc0,xx))|aElementOf0(X0,slcrc0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2598,plain,(
% 138.16/18.00 ![X0]: (~aElementOf0(X0,sdtpldt0(slcrc0,xx))|aElementOf0(X0,slcrc0)|~sQ313_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2597])).
% 138.16/18.00 fof(f2600,plain,(
% 138.16/18.00 ~sQ12_spl|sQ313_spl|~sQ162_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f2589,f196,f2597,f1537])).
% 138.16/18.00 fof(f2611,definition,(
% 138.16/18.00 sQ315_spl <=> (sdtpldt0(slcrc0,xx)=sdtpldt0(slcrc0,xx))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2613,plain,(
% 138.16/18.00 ~sdtpldt0(slcrc0,xx)=sdtpldt0(slcrc0,xx)|sQ315_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2611])).
% 138.16/18.00 fof(f2616,definition,(
% 138.16/18.00 ![X0]: (sQ316_spl <=> (~aElementOf0(X0,sdtpldt0(slcrc0,xx))|aElementOf0(X0,sdtpldt0(slcrc0,xx))))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2652,plain,(
% 138.16/18.00 ![X0,X1]: (~X0=sdtmndt0(xS,sK0_skl(sdtpldt0(slcrc0,xx)))|~aElementOf0(X1,X0)|sP0_prd(X1,sK0_skl(sdtpldt0(slcrc0,xx)),xS)|~sQ140_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f1283,f313])).
% 138.16/18.00 fof(f2660,plain,(
% 138.16/18.00 ![X0,X1,X2]: (~aSet0(X0)|~X1=sdtpldt0(X0,sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(X2,X1)|~aElementOf0(X2,X0)|~sQ140_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f1283,f162])).
% 138.16/18.00 fof(f2841,definition,(
% 138.16/18.00 ![X0]: (sQ324_spl <=> (~X0=sdtpldt0(sdtpldt0(slcrc0,xx),xx)|aElementOf0(xx,X0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2845,definition,(
% 138.16/18.00 ![X0]: (sQ325_spl <=> (sP0_prd(xx,X0,sdtpldt0(slcrc0,xx))|xx=X0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2846,plain,(
% 138.16/18.00 ![X0]: (sP0_prd(xx,X0,sdtpldt0(slcrc0,xx))|xx=X0|~sQ325_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2845])).
% 138.16/18.00 fof(f2912,definition,(
% 138.16/18.00 sQ329_spl <=> (sP0_prd(xx,xx,sdtpldt0(slcrc0,xx)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2913,plain,(
% 138.16/18.00 sP0_prd(xx,xx,sdtpldt0(slcrc0,xx))|~sQ329_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2912])).
% 138.16/18.00 fof(f2916,plain,(
% 138.16/18.00 $false|~sQ329_spl),
% 138.16/18.00 inference(forward_subsumption_resolution,[status(thm)],[f2913,f109])).
% 138.16/18.00 fof(f2917,plain,(
% 138.16/18.00 ~sQ329_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f2916])).
% 138.16/18.00 fof(f2925,definition,(
% 138.16/18.00 sQ331_spl <=> (sP0_prd(xx,xx,xS))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2926,plain,(
% 138.16/18.00 sP0_prd(xx,xx,xS)|~sQ331_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2925])).
% 138.16/18.00 fof(f2960,definition,(
% 138.16/18.00 sQ335_spl <=> (sdtpldt0(slcrc0,xx)=sdtmndt0(slcrc0,xx))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2970,definition,(
% 138.16/18.00 sQ338_spl <=> (aElementOf0(sK3_skl(slcrc0,xx,slcrc0),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f2971,plain,(
% 138.16/18.00 aElementOf0(sK3_skl(slcrc0,xx,slcrc0),slcrc0)|~sQ338_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f2970])).
% 138.16/18.00 fof(f2977,definition,(
% 138.16/18.00 sQ340_spl <=> (xS=sdtmndt0(slcrc0,xx))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3015,definition,(
% 138.16/18.00 sQ349_spl <=> (aElementOf0(sK3_skl(slcrc0,xx,sdtpldt0(slcrc0,xx)),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3016,plain,(
% 138.16/18.00 aElementOf0(sK3_skl(slcrc0,xx,sdtpldt0(slcrc0,xx)),slcrc0)|~sQ349_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3015])).
% 138.16/18.00 fof(f3048,definition,(
% 138.16/18.00 sQ357_spl <=> (aElementOf0(sK3_skl(slcrc0,xx,xS),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3049,plain,(
% 138.16/18.00 aElementOf0(sK3_skl(slcrc0,xx,xS),slcrc0)|~sQ357_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3048])).
% 138.16/18.00 fof(f3051,definition,(
% 138.16/18.00 sQ358_spl <=> (sP0_prd(sK3_skl(slcrc0,xx,xS),xx,xS))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3052,plain,(
% 138.16/18.00 sP0_prd(sK3_skl(slcrc0,xx,xS),xx,xS)|~sQ358_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3051])).
% 138.16/18.00 fof(f3102,definition,(
% 138.16/18.00 ![X0]: (sQ361_spl <=> (sK0_skl(sdtpldt0(slcrc0,xx))=X0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3103,plain,(
% 138.16/18.00 ![X0]: (sK0_skl(sdtpldt0(slcrc0,xx))=X0|~sQ361_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3102])).
% 138.16/18.00 fof(f3107,definition,(
% 138.16/18.00 ![X0,X1]: (sQ362_spl <=> (sK0_skl(sdtpldt0(slcrc0,xx))=X0|~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(slcrc0,xx),X0)|aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),X1)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3376,plain,(
% 138.16/18.00 ~sQ4_spl|~sQ5_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f1435,f137,f140])).
% 138.16/18.00 fof(f3398,definition,(
% 138.16/18.00 ![X0]: (sQ367_spl <=> (sK0_skl(slcrc0)=X0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3399,plain,(
% 138.16/18.00 ![X0]: (sK0_skl(slcrc0)=X0|~sQ367_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3398])).
% 138.16/18.00 fof(f3415,plain,(
% 138.16/18.00 ![X0,X1]: (X0=X1|~sQ367_spl)),
% 138.16/18.00 inference(paramodulation,[status(thm)],[f3399,f3399])).
% 138.16/18.00 fof(f3445,plain,(
% 138.16/18.00 $false|~sQ367_spl),
% 138.16/18.00 inference(backward_subsumption_resolution,[status(thm)],[f127,f3415])).
% 138.16/18.00 fof(f3452,definition,(
% 138.16/18.00 ![X0]: (sQ369_spl <=> (~aElement0(X0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3453,plain,(
% 138.16/18.00 ![X0]: (~aElement0(X0)|~sQ369_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3452])).
% 138.16/18.00 fof(f3461,definition,(
% 138.16/18.00 ![X0]: (sQ371_spl <=> (~aSet0(X0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3462,plain,(
% 138.16/18.00 ![X0]: (~aSet0(X0)|~sQ371_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3461])).
% 138.16/18.00 fof(f3474,definition,(
% 138.16/18.00 ![X1,X2]: (sQ373_spl <=> (~aElement0(X1)|aElementOf0(X1,X2)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3475,plain,(
% 138.16/18.00 ![X0,X1]: (~aElement0(X0)|aElementOf0(X0,X1)|~sQ373_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3474])).
% 138.16/18.00 fof(f3478,definition,(
% 138.16/18.00 ![X0,X2,X3]: (sQ374_spl <=> (~aSet0(X0)|aElementOf0(X2,X3)|~aElementOf0(X2,X0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3479,plain,(
% 138.16/18.00 ![X0,X1,X2]: (~aSet0(X0)|aElementOf0(X1,X2)|~aElementOf0(X1,X0)|~sQ374_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3478])).
% 138.16/18.00 fof(f3484,plain,(
% 138.16/18.00 ~sQ367_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f3445])).
% 138.16/18.00 fof(f3489,plain,(
% 138.16/18.00 $false|~sQ369_spl|~sQ301_spl),
% 138.16/18.00 inference(backward_subsumption_resolution,[status(thm)],[f2477,f3453])).
% 138.16/18.00 fof(f3491,plain,(
% 138.16/18.00 ~sQ369_spl|~sQ301_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f3489])).
% 138.16/18.00 fof(f3492,plain,(
% 138.16/18.00 $false|~sQ371_spl|~sQ1_spl),
% 138.16/18.00 inference(backward_subsumption_resolution,[status(thm)],[f317,f3462])).
% 138.16/18.00 fof(f3496,plain,(
% 138.16/18.00 ~sQ371_spl|~sQ1_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f3492])).
% 138.16/18.00 fof(f3497,plain,(
% 138.16/18.00 ![X0]: (~aSet0(xS)|aElementOf0(xx,X0)|~sQ374_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f3479,f86])).
% 138.16/18.00 fof(f3498,definition,(
% 138.16/18.00 ![X0]: (sQ375_spl <=> (aElementOf0(xx,X0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3499,plain,(
% 138.16/18.00 ![X0]: (aElementOf0(xx,X0)|~sQ375_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3498])).
% 138.16/18.00 fof(f3501,plain,(
% 138.16/18.00 ~sQ0_spl|sQ375_spl|~sQ374_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f3497,f111,f3498,f3478])).
% 138.16/18.00 fof(f3505,plain,(
% 138.16/18.00 ![X0]: (aElementOf0(xx,X0)|~sQ1_spl|~sQ373_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f115,f3475])).
% 138.16/18.00 fof(f3513,plain,(
% 138.16/18.00 $false|~sQ375_spl|sQ6_spl),
% 138.16/18.00 inference(backward_subsumption_resolution,[status(thm)],[f155,f3499])).
% 138.16/18.00 fof(f3517,plain,(
% 138.16/18.00 ~sQ375_spl|sQ6_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f3513])).
% 138.16/18.00 fof(f3628,plain,(
% 138.16/18.00 ![X0,X1]: (~aElement0(X0)|X1=sdtmndt0(xS,X0)|~aSet0(X1)|aElementOf0(sK3_skl(X1,X0,xS),X1)|sP0_prd(sK3_skl(X1,X0,xS),X0,xS))),
% 138.16/18.00 inference(resolution,[status(thm)],[f84,f85])).
% 138.16/18.00 fof(f3686,plain,(
% 138.16/18.00 ![X0,X1]: (X0=X1|~sQ361_spl)),
% 138.16/18.00 inference(paramodulation,[status(thm)],[f3103,f3103])).
% 138.16/18.00 fof(f3713,plain,(
% 138.16/18.00 $false|~sQ361_spl|sQ28_spl),
% 138.16/18.00 inference(backward_subsumption_resolution,[status(thm)],[f337,f3686])).
% 138.16/18.00 fof(f3724,plain,(
% 138.16/18.00 ~sQ361_spl|sQ28_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f3713])).
% 138.16/18.00 fof(f3807,plain,(
% 138.16/18.00 ![X0]: (sP0_prd(xx,X0,sdtpldt0(slcrc0,xx))|~aElement0(xx)|xx=X0|~sQ298_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f2451,f106])).
% 138.16/18.00 fof(f3811,plain,(
% 138.16/18.00 sQ325_spl|~sQ1_spl|~sQ298_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f3807,f2845,f114,f2450])).
% 138.16/18.00 fof(f3814,plain,(
% 138.16/18.00 ![X0,X1]: (~X0=sdtmndt0(xS,xx)|~aElementOf0(X1,X0)|sP0_prd(X1,xx,xS)|~sQ1_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f313,f115])).
% 138.16/18.00 fof(f3841,plain,(
% 138.16/18.00 ~slcrc0=slcrc0|~sQ300_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f2474,f36])).
% 138.16/18.00 fof(f3848,plain,(
% 138.16/18.00 $false|~sQ300_spl),
% 138.16/18.00 inference(trivial_equality_resolution,[status(thm)],[f3841])).
% 138.16/18.00 fof(f3849,plain,(
% 138.16/18.00 ~sQ300_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f3848])).
% 138.16/18.00 fof(f3907,plain,(
% 138.16/18.00 ![X0]: (X0=sdtmndt0(xS,xx)|~aSet0(X0)|aElementOf0(sK3_skl(X0,xx,xS),X0)|sP0_prd(sK3_skl(X0,xx,xS),xx,xS)|~sQ1_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f3628,f115])).
% 138.16/18.00 fof(f3977,definition,(
% 138.16/18.00 sQ380_spl <=> (aElementOf0(sK1_skl(xS,sdtpldt0(slcrc0,xx)),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f3978,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(xS,sdtpldt0(slcrc0,xx)),slcrc0)|~sQ380_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3977])).
% 138.16/18.00 fof(f3999,definition,(
% 138.16/18.00 sQ384_spl <=> (aElementOf0(sK1_skl(sdtpldt0(slcrc0,xx),xS),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4000,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(sdtpldt0(slcrc0,xx),xS),slcrc0)|~sQ384_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f3999])).
% 138.16/18.00 fof(f4029,plain,(
% 138.16/18.00 ~slcrc0=slcrc0|~sQ169_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f1563,f36])).
% 138.16/18.00 fof(f4036,plain,(
% 138.16/18.00 $false|~sQ169_spl),
% 138.16/18.00 inference(trivial_equality_resolution,[status(thm)],[f4029])).
% 138.16/18.00 fof(f4037,plain,(
% 138.16/18.00 ~sQ169_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f4036])).
% 138.16/18.00 fof(f4046,definition,(
% 138.16/18.00 ![X0]: (sQ389_spl <=> (sP0_prd(sK1_skl(slcrc0,sdtpldt0(slcrc0,xx)),X0,slcrc0)|sK1_skl(slcrc0,sdtpldt0(slcrc0,xx))=X0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4047,plain,(
% 138.16/18.00 ![X0]: (sP0_prd(sK1_skl(slcrc0,sdtpldt0(slcrc0,xx)),X0,slcrc0)|sK1_skl(slcrc0,sdtpldt0(slcrc0,xx))=X0|~sQ389_spl)),
% 138.16/18.00 inference(component_clause,[status(thm)],[f4046])).
% 138.16/18.00 fof(f4086,definition,(
% 138.16/18.00 sQ391_spl <=> (aElementOf0(sK1_skl(sdtpldt0(slcrc0,xx),slcrc0),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4087,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(sdtpldt0(slcrc0,xx),slcrc0),slcrc0)|~sQ391_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f4086])).
% 138.16/18.00 fof(f4200,definition,(
% 138.16/18.00 sQ405_spl <=> (aElementOf0(sK2_skl(slcrc0,xx,sdtpldt0(slcrc0,xx)),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4201,plain,(
% 138.16/18.00 aElementOf0(sK2_skl(slcrc0,xx,sdtpldt0(slcrc0,xx)),slcrc0)|~sQ405_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f4200])).
% 138.16/18.00 fof(f4252,definition,(
% 138.16/18.00 sQ418_spl <=> (aElementOf0(sK2_skl(slcrc0,xx,slcrc0),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4253,plain,(
% 138.16/18.00 aElementOf0(sK2_skl(slcrc0,xx,slcrc0),slcrc0)|~sQ418_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f4252])).
% 138.16/18.00 fof(f4262,definition,(
% 138.16/18.00 sQ421_spl <=> (aElementOf0(sK2_skl(xS,xx,slcrc0),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4263,plain,(
% 138.16/18.00 aElementOf0(sK2_skl(xS,xx,slcrc0),slcrc0)|~sQ421_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f4262])).
% 138.16/18.00 fof(f4265,definition,(
% 138.16/18.00 sQ422_spl <=> (sK2_skl(xS,xx,slcrc0)=xx)),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4266,plain,(
% 138.16/18.00 sK2_skl(xS,xx,slcrc0)=xx|~sQ422_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f4265])).
% 138.16/18.00 fof(f4267,plain,(
% 138.16/18.00 ~sK2_skl(xS,xx,slcrc0)=xx|sQ422_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f4265])).
% 138.16/18.00 fof(f4303,plain,(
% 138.16/18.00 ![X0]: (X0=sdtpldt0(slcrc0,xx)|~aSet0(X0)|aElement0(sK2_skl(X0,xx,sdtmndt0(xS,xx)))|~sQ4_spl|~sQ1_spl)),
% 138.16/18.00 inference(forward_demodulation,[status(thm)],[f138,f879])).
% 138.16/18.00 fof(f4304,plain,(
% 138.16/18.00 ![X0]: (X0=sdtpldt0(slcrc0,xx)|~aSet0(X0)|aElement0(sK2_skl(X0,xx,slcrc0))|~sQ4_spl|~sQ1_spl)),
% 138.16/18.00 inference(forward_demodulation,[status(thm)],[f138,f4303])).
% 138.16/18.00 fof(f4308,plain,(
% 138.16/18.00 xS=sdtpldt0(slcrc0,xx)|aElement0(sK2_skl(xS,xx,slcrc0))|~sQ4_spl|~sQ1_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f4304,f85])).
% 138.16/18.00 fof(f4321,definition,(
% 138.16/18.00 sQ431_spl <=> (aElement0(sK2_skl(xS,xx,slcrc0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4324,plain,(
% 138.16/18.00 sQ118_spl|sQ431_spl|~sQ4_spl|~sQ1_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f4308,f1151,f4321,f137,f114])).
% 138.16/18.00 fof(f4385,plain,(
% 138.16/18.00 ~aSet0(slcrc0)|~aElement0(xx)|xS=sdtpldt0(slcrc0,xx)|~aSet0(xS)|~aElementOf0(xx,xS)|~sK2_skl(xS,xx,slcrc0)=xx|~sQ422_spl),
% 138.16/18.00 inference(paramodulation,[status(thm)],[f4266,f300])).
% 138.16/18.00 fof(f4387,plain,(
% 138.16/18.00 ~sQ12_spl|~sQ1_spl|sQ118_spl|~sQ0_spl|~sQ34_spl|~sQ422_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f4385,f196,f114,f1151,f111,f387,f4265])).
% 138.16/18.00 fof(f4475,plain,(
% 138.16/18.00 ~slcrc0=slcrc0|~sQ310_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f2574,f36])).
% 138.16/18.00 fof(f4492,plain,(
% 138.16/18.00 $false|~sQ310_spl),
% 138.16/18.00 inference(trivial_equality_resolution,[status(thm)],[f4475])).
% 138.16/18.00 fof(f4493,plain,(
% 138.16/18.00 ~sQ310_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f4492])).
% 138.16/18.00 fof(f4525,plain,(
% 138.16/18.00 ![X0,X1]: (xx=X0|~aSet0(sdtpldt0(slcrc0,xx))|~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(slcrc0,xx),X0)|aElementOf0(xx,X1)|~sQ325_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f2846,f82])).
% 138.16/18.00 fof(f4529,definition,(
% 138.16/18.00 ![X0,X1]: (sQ439_spl <=> (xx=X0|~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(slcrc0,xx),X0)|aElementOf0(xx,X1)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4532,plain,(
% 138.16/18.00 sQ439_spl|~sQ121_spl|~sQ325_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f4525,f4529,f1163,f2845])).
% 138.16/18.00 fof(f4639,plain,(
% 138.16/18.00 ![X0]: (~aSet0(sdtpldt0(slcrc0,xx))|~X0=sdtpldt0(sdtpldt0(slcrc0,xx),xx)|aElementOf0(xx,X0)|~sQ1_spl|~sQ298_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f163,f2451])).
% 138.16/18.00 fof(f4641,plain,(
% 138.16/18.00 ~sQ121_spl|sQ324_spl|~sQ1_spl|~sQ298_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f4639,f1163,f2841,f114,f2450])).
% 138.16/18.00 fof(f4666,definition,(
% 138.16/18.00 sQ442_spl <=> (aElementOf0(sK2_skl(xS,xx,xS),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f4667,plain,(
% 138.16/18.00 aElementOf0(sK2_skl(xS,xx,xS),slcrc0)|~sQ442_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f4666])).
% 138.16/18.00 fof(f5024,definition,(
% 138.16/18.00 sQ485_spl <=> (sP0_prd(xx,xx,slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f5025,plain,(
% 138.16/18.00 sP0_prd(xx,xx,slcrc0)|~sQ485_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f5024])).
% 138.16/18.00 fof(f5029,plain,(
% 138.16/18.00 $false|~sQ485_spl),
% 138.16/18.00 inference(forward_subsumption_resolution,[status(thm)],[f5025,f109])).
% 138.16/18.00 fof(f5030,plain,(
% 138.16/18.00 ~sQ485_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f5029])).
% 138.16/18.00 fof(f5088,definition,(
% 138.16/18.00 sQ489_spl <=> (aElementOf0(sK3_skl(xS,xx,slcrc0),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f5089,plain,(
% 138.16/18.00 aElementOf0(sK3_skl(xS,xx,slcrc0),slcrc0)|~sQ489_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f5088])).
% 138.16/18.00 fof(f5199,plain,(
% 138.16/18.00 ~slcrc0=slcrc0|~sQ338_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f2971,f36])).
% 138.16/18.00 fof(f5233,plain,(
% 138.16/18.00 $false|~sQ338_spl),
% 138.16/18.00 inference(trivial_equality_resolution,[status(thm)],[f5199])).
% 138.16/18.00 fof(f5234,plain,(
% 138.16/18.00 ~sQ338_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f5233])).
% 138.16/18.00 fof(f5235,plain,(
% 138.16/18.00 $false|sQ14_spl),
% 138.16/18.00 inference(forward_subsumption_resolution,[status(thm)],[f213,f38])).
% 138.16/18.00 fof(f5236,plain,(
% 138.16/18.00 sQ14_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f5235])).
% 138.16/18.00 fof(f5447,definition,(
% 138.16/18.00 sQ507_spl <=> (aElementOf0(sK3_skl(xS,xx,xS),slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f5448,plain,(
% 138.16/18.00 aElementOf0(sK3_skl(xS,xx,xS),slcrc0)|~sQ507_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f5447])).
% 138.16/18.00 fof(f5506,plain,(
% 138.16/18.00 ~slcrc0=slcrc0|~sQ357_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f3049,f36])).
% 138.16/18.00 fof(f5509,definition,(
% 138.16/18.00 sQ515_spl <=> (sP0_prd(sK3_skl(slcrc0,xx,xS),xx,slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f5510,plain,(
% 138.16/18.00 sP0_prd(sK3_skl(slcrc0,xx,xS),xx,slcrc0)|~sQ515_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f5509])).
% 138.16/18.00 fof(f5516,definition,(
% 138.16/18.00 sQ517_spl <=> (sK3_skl(slcrc0,xx,xS)=xx)),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f5517,plain,(
% 138.16/18.00 sK3_skl(slcrc0,xx,xS)=xx|~sQ517_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f5516])).
% 138.16/18.00 fof(f5524,definition,(
% 138.16/18.00 sQ519_spl <=> (aElement0(sK3_skl(slcrc0,xx,xS)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f5543,plain,(
% 138.16/18.00 $false|~sQ357_spl),
% 138.16/18.00 inference(trivial_equality_resolution,[status(thm)],[f5506])).
% 138.16/18.00 fof(f5544,plain,(
% 138.16/18.00 ~sQ357_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f5543])).
% 138.16/18.00 fof(f5815,definition,(
% 138.16/18.00 sQ554_spl <=> (sdtpldt0(sdtpldt0(slcrc0,xx),xx)=sdtpldt0(sdtpldt0(slcrc0,xx),xx))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f5817,plain,(
% 138.16/18.00 ~sdtpldt0(sdtpldt0(slcrc0,xx),xx)=sdtpldt0(sdtpldt0(slcrc0,xx),xx)|sQ554_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f5815])).
% 138.16/18.00 fof(f5825,plain,(
% 138.16/18.00 $false|sQ554_spl),
% 138.16/18.00 inference(trivial_equality_resolution,[status(thm)],[f5817])).
% 138.16/18.00 fof(f5826,plain,(
% 138.16/18.00 sQ554_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f5825])).
% 138.16/18.00 fof(f6224,plain,(
% 138.16/18.00 sK2_skl(xS,xx,slcrc0)=xx|~sQ4_spl|~sQ226_spl),
% 138.16/18.00 inference(forward_demodulation,[status(thm)],[f138,f1961])).
% 138.16/18.00 fof(f6225,plain,(
% 138.16/18.00 $false|sQ422_spl|~sQ4_spl|~sQ226_spl),
% 138.16/18.00 inference(forward_subsumption_resolution,[status(thm)],[f6224,f4267])).
% 138.16/18.00 fof(f6226,plain,(
% 138.16/18.00 sQ422_spl|~sQ4_spl|~sQ226_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f6225])).
% 138.16/18.00 fof(f6252,plain,(
% 138.16/18.00 aElementOf0(sK2_skl(xS,xx,slcrc0),xS)|~sQ4_spl|~sQ224_spl),
% 138.16/18.00 inference(forward_demodulation,[status(thm)],[f138,f1955])).
% 138.16/18.00 fof(f6255,plain,(
% 138.16/18.00 aElementOf0(sK2_skl(xS,xx,slcrc0),slcrc0)|~aElement0(sK2_skl(xS,xx,slcrc0))|sK2_skl(xS,xx,slcrc0)=xx|~sQ224_spl|~sQ4_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f6252,f151])).
% 138.16/18.00 fof(f6270,plain,(
% 138.16/18.00 sQ421_spl|~sQ431_spl|sQ422_spl|~sQ224_spl|~sQ4_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f6255,f4262,f4321,f4265,f1954,f137])).
% 138.16/18.00 fof(f6273,definition,(
% 138.16/18.00 sQ583_spl <=> (sP0_prd(sK2_skl(xS,xx,slcrc0),xx,slcrc0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f6274,plain,(
% 138.16/18.00 sP0_prd(sK2_skl(xS,xx,slcrc0),xx,slcrc0)|~sQ583_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f6273])).
% 138.16/18.00 fof(f6303,plain,(
% 138.16/18.00 sQ375_spl|~sQ1_spl|~sQ373_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f3505,f3498,f114,f3474])).
% 138.16/18.00 fof(f6456,plain,(
% 138.16/18.00 aElementOf0(sK0_skl(sdtmndt0(xS,xx)),xS)|~sQ5_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f141,f92])).
% 138.16/18.00 fof(f6787,plain,(
% 138.16/18.00 ![X0,X1,X2]: (~aSet0(X0)|~X1=sdtpldt0(X0,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(X2,X1)|~aElementOf0(X2,X0)|~sQ37_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f456,f162])).
% 138.16/18.00 fof(f7038,plain,(
% 138.16/18.00 sdtmndt0(slcrc0,xx)=sdtpldt0(sdtmndt0(xS,xx),xx)|aElement0(sK2_skl(sdtmndt0(slcrc0,xx),xx,sdtmndt0(xS,xx)))|~sQ1_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f879,f1030])).
% 138.16/18.00 fof(f7044,definition,(
% 138.16/18.00 sQ598_spl <=> (sdtmndt0(slcrc0,xx)=sdtpldt0(sdtmndt0(xS,xx),xx))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7047,definition,(
% 138.16/18.00 sQ599_spl <=> (aElement0(sK2_skl(sdtmndt0(slcrc0,xx),xx,sdtmndt0(xS,xx))))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7050,plain,(
% 138.16/18.00 sQ598_spl|sQ599_spl|~sQ1_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f7038,f7044,f7047,f114])).
% 138.16/18.00 fof(f7056,plain,(
% 138.16/18.00 sdtmndt0(slcrc0,xx)=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElement0(sK2_skl(sdtmndt0(slcrc0,xx),xx,sdtpldt0(sdtmndt0(xS,xx),xx)))|~sQ1_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f882,f1030])).
% 138.16/18.00 fof(f7062,definition,(
% 138.16/18.00 sQ600_spl <=> (sdtmndt0(slcrc0,xx)=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7065,definition,(
% 138.16/18.00 sQ601_spl <=> (aElement0(sK2_skl(sdtmndt0(slcrc0,xx),xx,sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7068,plain,(
% 138.16/18.00 sQ600_spl|sQ601_spl|~sQ1_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f7056,f7062,f7065,f114])).
% 138.16/18.00 fof(f7195,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))=xx|~sQ68_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f778,f97])).
% 138.16/18.00 fof(f7203,plain,(
% 138.16/18.00 ![X0]: (sP0_prd(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)))|sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))=X0|~sQ68_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f778,f106])).
% 138.16/18.00 fof(f7204,plain,(
% 138.16/18.00 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElement0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)))|~sQ68_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f778,f28])).
% 138.16/18.00 fof(f7207,plain,(
% 138.16/18.00 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),X0)|~sQ68_spl|~sQ1_spl)),
% 138.16/18.00 inference(resolution,[status(thm)],[f778,f163])).
% 138.16/18.00 fof(f7208,definition,(
% 138.16/18.00 sQ612_spl <=> (aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ612_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7209,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~sQ612_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f7208])).
% 138.16/18.00 fof(f7211,definition,(
% 138.16/18.00 sQ613_spl <=> (sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))=xx)),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ613_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7212,plain,(
% 138.16/18.00 sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))=xx|~sQ613_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f7211])).
% 138.16/18.00 fof(f7214,plain,(
% 138.16/18.00 sQ612_spl|sQ613_spl|~sQ68_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f7195,f7208,f7211,f777])).
% 138.16/18.00 fof(f7215,definition,(
% 138.16/18.00 sQ614_spl <=> (sP0_prd(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xx,sdtmndt0(xS,xx)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ614_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7216,plain,(
% 138.16/18.00 sP0_prd(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xx,sdtmndt0(xS,xx))|~sQ614_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f7215])).
% 138.16/18.00 fof(f7219,definition,(
% 138.16/18.00 sQ615_spl <=> (aElement0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ615_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7227,definition,(
% 138.16/18.00 ![X0]: (sQ616_spl <=> (sP0_prd(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))=X0))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7230,plain,(
% 138.16/18.00 sQ616_spl|~sQ615_spl|~sQ68_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f7203,f7227,f7219,f777])).
% 138.16/18.00 fof(f7231,plain,(
% 138.16/18.00 ~sQ41_spl|sQ615_spl|~sQ68_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f7204,f648,f7219,f777])).
% 138.16/18.00 fof(f7236,definition,(
% 138.16/18.00 ![X0]: (sQ618_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),X0)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ618_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7239,plain,(
% 138.16/18.00 ~sQ41_spl|sQ618_spl|~sQ68_spl|~sQ1_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f7207,f648,f7236,f777,f114])).
% 138.16/18.00 fof(f7261,plain,(
% 138.16/18.00 ~slcrc0=slcrc0|~sQ442_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f4667,f36])).
% 138.16/18.00 fof(f7285,plain,(
% 138.16/18.00 $false|~sQ442_spl),
% 138.16/18.00 inference(trivial_equality_resolution,[status(thm)],[f7261])).
% 138.16/18.00 fof(f7286,plain,(
% 138.16/18.00 ~sQ442_spl),
% 138.16/18.00 inference(contradiction_clause,[status(thm)],[f7285])).
% 138.16/18.00 fof(f7296,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx))|sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS)=xx|~sQ59_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f741,f97])).
% 138.16/18.00 fof(f7309,definition,(
% 138.16/18.00 sQ623_spl <=> (aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ623_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7310,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS),sdtmndt0(xS,xx))|~sQ623_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f7309])).
% 138.16/18.00 fof(f7312,definition,(
% 138.16/18.00 sQ624_spl <=> (sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS)=xx)),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7313,plain,(
% 138.16/18.00 sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS)=xx|~sQ624_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f7312])).
% 138.16/18.00 fof(f7315,plain,(
% 138.16/18.00 sQ623_spl|sQ624_spl|~sQ59_spl),
% 138.16/18.00 inference(split_clause,[status(thm)],[f7296,f7309,f7312,f740])).
% 138.16/18.00 fof(f7333,definition,(
% 138.16/18.00 sQ628_spl <=> (aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7334,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)|~sQ628_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f7333])).
% 138.16/18.00 fof(f7341,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))|~aElement0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|~sQ55_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f722,f94])).
% 138.16/18.00 fof(f7349,plain,(
% 138.16/18.00 ~aSet0(xS)|aElement0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|~sQ55_spl),
% 138.16/18.00 inference(resolution,[status(thm)],[f722,f28])).
% 138.16/18.00 fof(f7353,definition,(
% 138.16/18.00 sQ630_spl <=> (aElementOf0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx)))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ630_spl])],[split_symbol_definition])).
% 138.16/18.00 fof(f7354,plain,(
% 138.16/18.00 aElementOf0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))|~sQ630_spl),
% 138.16/18.00 inference(component_clause,[status(thm)],[f7353])).
% 138.16/18.00 fof(f7356,definition,(
% 138.16/18.00 sQ631_spl <=> (aElement0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 138.16/18.00 introduced(definition,[new_symbols(definition,[sQ631_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7359,definition,(
% 138.16/18.01 sQ632_spl <=> (sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx)),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ632_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7360,plain,(
% 138.16/18.01 sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|~sQ632_spl),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7359])).
% 138.16/18.01 fof(f7362,plain,(
% 138.16/18.01 sQ630_spl|~sQ631_spl|sQ632_spl|~sQ55_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7341,f7353,f7356,f7359,f721])).
% 138.16/18.01 fof(f7368,definition,(
% 138.16/18.01 sQ634_spl <=> (aElementOf0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7369,plain,(
% 138.16/18.01 aElementOf0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ634_spl),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7368])).
% 138.16/18.01 fof(f7379,plain,(
% 138.16/18.01 ~sQ0_spl|sQ631_spl|~sQ55_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7349,f111,f7356,f721])).
% 138.16/18.01 fof(f7390,plain,(
% 138.16/18.01 slcrc0=sdtmndt0(xS,xx)|aElementOf0(sK3_skl(slcrc0,xx,xS),slcrc0)|sP0_prd(sK3_skl(slcrc0,xx,xS),xx,xS)|~sQ1_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f3907,f126])).
% 138.16/18.01 fof(f7392,definition,(
% 138.16/18.01 sQ637_spl <=> (sdtpldt0(slcrc0,xx)=sdtmndt0(xS,xx))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ637_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7414,plain,(
% 138.16/18.01 sQ4_spl|sQ357_spl|sQ358_spl|~sQ1_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7390,f137,f3048,f3051,f114])).
% 138.16/18.01 fof(f7424,plain,(
% 138.16/18.01 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(xS,xx)|sP0_prd(xx,xx,xS)|~sQ1_spl|~sQ23_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f3814,f273])).
% 138.16/18.01 fof(f7425,plain,(
% 138.16/18.01 ~xS=sdtmndt0(xS,xx)|sP0_prd(xx,xx,xS)|~sQ1_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f3814,f86])).
% 138.16/18.01 fof(f7426,definition,(
% 138.16/18.01 sQ643_spl <=> (sP0_prd(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xx,xS))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ643_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7427,plain,(
% 138.16/18.01 sP0_prd(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),xx,xS)|~sQ643_spl),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7426])).
% 138.16/18.01 fof(f7434,definition,(
% 138.16/18.01 sQ645_spl <=> (sP0_prd(sK1_skl(xS,sdtmndt0(xS,xx)),xx,xS))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ645_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7435,plain,(
% 138.16/18.01 sP0_prd(sK1_skl(xS,sdtmndt0(xS,xx)),xx,xS)|~sQ645_spl),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7434])).
% 138.16/18.01 fof(f7452,plain,(
% 138.16/18.01 ~sQ157_spl|sQ331_spl|~sQ1_spl|~sQ23_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7424,f1482,f2925,f114,f272])).
% 138.16/18.01 fof(f7453,plain,(
% 138.16/18.01 ~sQ91_spl|sQ331_spl|~sQ1_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7425,f936,f2925,f114])).
% 138.16/18.01 fof(f7454,plain,(
% 138.16/18.01 $false|~sQ331_spl),
% 138.16/18.01 inference(forward_subsumption_resolution,[status(thm)],[f2926,f109])).
% 138.16/18.01 fof(f7455,plain,(
% 138.16/18.01 ~sQ331_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f7454])).
% 138.16/18.01 fof(f7456,plain,(
% 138.16/18.01 ![X0,X1]: (sK0_skl(sdtmndt0(xS,xx))=X0|~aSet0(sdtmndt0(xS,xx))|~aElement0(X0)|~X1=sdtmndt0(sdtmndt0(xS,xx),X0)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X1)|~sQ36_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f453,f82])).
% 138.16/18.01 fof(f7460,definition,(
% 138.16/18.01 ![X0,X1]: (sQ649_spl <=> (sK0_skl(sdtmndt0(xS,xx))=X0|~aElement0(X0)|~X1=sdtmndt0(sdtmndt0(xS,xx),X0)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X1)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ649_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7461,plain,(
% 138.16/18.01 ![X0,X1]: (sK0_skl(sdtmndt0(xS,xx))=X0|~aElement0(X0)|~X1=sdtmndt0(sdtmndt0(xS,xx),X0)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X1)|~sQ649_spl)),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7460])).
% 138.16/18.01 fof(f7463,plain,(
% 138.16/18.01 sQ649_spl|~sQ38_spl|~sQ36_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7456,f7460,f459,f452])).
% 138.16/18.01 fof(f7464,definition,(
% 138.16/18.01 ![X0]: (sQ650_spl <=> (sK0_skl(sdtmndt0(xS,xx))=X0))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ650_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7465,plain,(
% 138.16/18.01 ![X0]: (sK0_skl(sdtmndt0(xS,xx))=X0|~sQ650_spl)),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7464])).
% 138.16/18.01 fof(f7469,plain,(
% 138.16/18.01 $false|~sQ650_spl|sQ83_spl),
% 138.16/18.01 inference(backward_subsumption_resolution,[status(thm)],[f860,f7465])).
% 138.16/18.01 fof(f7486,plain,(
% 138.16/18.01 ~sQ650_spl|sQ83_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f7469])).
% 138.16/18.01 fof(f7494,plain,(
% 138.16/18.01 ![X0,X1]: (sK0_skl(sdtpldt0(slcrc0,xx))=X0|~aSet0(sdtpldt0(slcrc0,xx))|~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(slcrc0,xx),X0)|aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),X1)|~sQ139_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f1280,f82])).
% 138.16/18.01 fof(f7498,plain,(
% 138.16/18.01 sQ362_spl|~sQ121_spl|~sQ139_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7494,f3107,f1163,f1279])).
% 138.16/18.01 fof(f7553,plain,(
% 138.16/18.01 ![X0]: (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(sK0_skl(sdtmndt0(xS,xx)))|sK0_skl(sdtmndt0(xS,xx))=X0|~sQ5_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f1432,f106])).
% 138.16/18.01 fof(f7557,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ5_spl|~sQ1_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f1432,f163])).
% 138.16/18.01 fof(f7566,definition,(
% 138.16/18.01 ![X0]: (sQ653_spl <=> (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|sK0_skl(sdtmndt0(xS,xx))=X0))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ653_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7567,plain,(
% 138.16/18.01 ![X0]: (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|sK0_skl(sdtmndt0(xS,xx))=X0|~sQ653_spl)),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7566])).
% 138.16/18.01 fof(f7569,plain,(
% 138.16/18.01 sQ653_spl|~sQ37_spl|~sQ5_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7553,f7566,f455,f140])).
% 138.16/18.01 fof(f7572,definition,(
% 138.16/18.01 ![X0]: (sQ654_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ654_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7575,plain,(
% 138.16/18.01 ~sQ41_spl|sQ654_spl|~sQ5_spl|~sQ1_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7557,f648,f7572,f140,f114])).
% 138.16/18.01 fof(f7590,plain,(
% 138.16/18.01 ~slcrc0=slcrc0|~sQ489_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f5089,f36])).
% 138.16/18.01 fof(f7618,plain,(
% 138.16/18.01 $false|~sQ489_spl),
% 138.16/18.01 inference(trivial_equality_resolution,[status(thm)],[f7590])).
% 138.16/18.01 fof(f7619,plain,(
% 138.16/18.01 ~sQ489_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f7618])).
% 138.16/18.01 fof(f7620,plain,(
% 138.16/18.01 ![X0,X1]: (sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx))=X0|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),X1)|~sQ98_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f993,f82])).
% 138.16/18.01 fof(f7624,definition,(
% 138.16/18.01 ![X0,X1]: (sQ660_spl <=> (sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx))=X0|~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),X1)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7627,plain,(
% 138.16/18.01 sQ660_spl|~sQ41_spl|~sQ98_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7620,f7624,f648,f992])).
% 138.16/18.01 fof(f7628,definition,(
% 138.16/18.01 ![X0]: (sQ661_spl <=> (sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx))=X0))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ661_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7629,plain,(
% 138.16/18.01 ![X0]: (sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx))=X0|~sQ661_spl)),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7628])).
% 138.16/18.01 fof(f7639,definition,(
% 138.16/18.01 sQ662_spl <=> (sdtpldt0(slcrc0,xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7649,definition,(
% 138.16/18.01 sQ665_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ665_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7682,definition,(
% 138.16/18.01 sQ675_spl <=> (aElementOf0(sK3_skl(slcrc0,xx,sdtpldt0(sdtmndt0(xS,xx),xx)),slcrc0))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7683,plain,(
% 138.16/18.01 aElementOf0(sK3_skl(slcrc0,xx,sdtpldt0(sdtmndt0(xS,xx),xx)),slcrc0)|~sQ675_spl),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7682])).
% 138.16/18.01 fof(f7689,definition,(
% 138.16/18.01 sQ677_spl <=> (xS=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7736,definition,(
% 138.16/18.01 sQ689_spl <=> (aElementOf0(sK3_skl(slcrc0,xx,sdtmndt0(xS,xx)),slcrc0))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ689_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7737,plain,(
% 138.16/18.01 aElementOf0(sK3_skl(slcrc0,xx,sdtmndt0(xS,xx)),slcrc0)|~sQ689_spl),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7736])).
% 138.16/18.01 fof(f7759,plain,(
% 138.16/18.01 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|sP0_prd(xx,xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ1_spl|~sQ23_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f967,f273])).
% 138.16/18.01 fof(f7760,plain,(
% 138.16/18.01 ~xS=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|sP0_prd(xx,xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ1_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f967,f86])).
% 138.16/18.01 fof(f7791,definition,(
% 138.16/18.01 sQ700_spl <=> (sP0_prd(xx,xx,sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ700_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f7792,plain,(
% 138.16/18.01 sP0_prd(xx,xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ700_spl),
% 138.16/18.01 inference(component_clause,[status(thm)],[f7791])).
% 138.16/18.01 fof(f7794,plain,(
% 138.16/18.01 ~sQ665_spl|sQ700_spl|~sQ1_spl|~sQ23_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7759,f7649,f7791,f114,f272])).
% 138.16/18.01 fof(f7795,plain,(
% 138.16/18.01 ~sQ677_spl|sQ700_spl|~sQ1_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f7760,f7689,f7791,f114])).
% 138.16/18.01 fof(f7796,plain,(
% 138.16/18.01 $false|~sQ700_spl),
% 138.16/18.01 inference(forward_subsumption_resolution,[status(thm)],[f7792,f109])).
% 138.16/18.01 fof(f7797,plain,(
% 138.16/18.01 ~sQ700_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f7796])).
% 138.16/18.01 fof(f7809,plain,(
% 138.16/18.01 ~slcrc0=slcrc0|~sQ507_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f5448,f36])).
% 138.16/18.01 fof(f7838,plain,(
% 138.16/18.01 $false|~sQ507_spl),
% 138.16/18.01 inference(trivial_equality_resolution,[status(thm)],[f7809])).
% 138.16/18.01 fof(f7839,plain,(
% 138.16/18.01 ~sQ507_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f7838])).
% 138.16/18.01 fof(f8313,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aElementOf0(X0,xS)|aElementOf0(X0,sdtmndt0(xS,xx))|~sQ73_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f796,f50])).
% 138.16/18.01 fof(f8318,definition,(
% 138.16/18.01 ![X0]: (sQ720_spl <=> (~aElementOf0(X0,xS)|aElementOf0(X0,sdtmndt0(xS,xx))))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ720_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f8319,plain,(
% 138.16/18.01 ![X0]: (~aElementOf0(X0,xS)|aElementOf0(X0,sdtmndt0(xS,xx))|~sQ720_spl)),
% 138.16/18.01 inference(component_clause,[status(thm)],[f8318])).
% 138.16/18.01 fof(f8321,plain,(
% 138.16/18.01 ~sQ38_spl|sQ720_spl|~sQ73_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f8313,f459,f8318,f795])).
% 138.16/18.01 fof(f8358,plain,(
% 138.16/18.01 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(slcrc0,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ54_spl|~sQ79_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f719,f830])).
% 138.16/18.01 fof(f8364,plain,(
% 138.16/18.01 ~sQ41_spl|sQ52_spl|~sQ54_spl|~sQ79_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f8358,f648,f711,f718,f829])).
% 138.16/18.01 fof(f8477,plain,(
% 138.16/18.01 ~slcrc0=slcrc0|~sQ221_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f1945,f36])).
% 138.16/18.01 fof(f8507,plain,(
% 138.16/18.01 $false|~sQ221_spl),
% 138.16/18.01 inference(trivial_equality_resolution,[status(thm)],[f8477])).
% 138.16/18.01 fof(f8508,plain,(
% 138.16/18.01 ~sQ221_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f8507])).
% 138.16/18.01 fof(f8820,plain,(
% 138.16/18.01 ~slcrc0=slcrc0|~sQ244_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f2076,f36])).
% 138.16/18.01 fof(f8838,plain,(
% 138.16/18.01 $false|~sQ244_spl),
% 138.16/18.01 inference(trivial_equality_resolution,[status(thm)],[f8820])).
% 138.16/18.01 fof(f8839,plain,(
% 138.16/18.01 ~sQ244_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f8838])).
% 138.16/18.01 fof(f9110,definition,(
% 138.16/18.01 ![X0]: (sQ780_spl <=> (~X0=sdtmndt0(sdtmndt0(xS,xx),xx)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ780_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f9221,plain,(
% 138.16/18.01 ~aSet0(xS)|aSubsetOf0(sdtmndt0(xS,xx),xS)|~aSet0(sdtmndt0(xS,xx))|~sQ281_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f2237,f52])).
% 138.16/18.01 fof(f9236,plain,(
% 138.16/18.01 ~sQ0_spl|sQ60_spl|~sQ38_spl|~sQ281_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f9221,f111,f744,f459,f2236])).
% 138.16/18.01 fof(f9306,definition,(
% 138.16/18.01 ![X0]: (sQ790_spl <=> (~aElementOf0(X0,xS)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ790_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f9307,plain,(
% 138.16/18.01 ![X0]: (~aElementOf0(X0,xS)|~sQ790_spl)),
% 138.16/18.01 inference(component_clause,[status(thm)],[f9306])).
% 138.16/18.01 fof(f9317,plain,(
% 138.16/18.01 ![X0,X1]: (sK1_skl(xS,sdtmndt0(xS,xx))=X0|~aSet0(xS)|~aElement0(X0)|~X1=sdtmndt0(xS,X0)|aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),X1)|~sQ290_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2292,f82])).
% 138.16/18.01 fof(f9321,definition,(
% 138.16/18.01 ![X0,X1]: (sQ792_spl <=> (sK1_skl(xS,sdtmndt0(xS,xx))=X0|~aElement0(X0)|~X1=sdtmndt0(xS,X0)|aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),X1)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ792_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f9324,plain,(
% 138.16/18.01 sQ792_spl|~sQ0_spl|~sQ290_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f9317,f9321,f111,f2291])).
% 138.16/18.01 fof(f9325,definition,(
% 138.16/18.01 ![X0]: (sQ793_spl <=> (sK1_skl(xS,sdtmndt0(xS,xx))=X0))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ793_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f9326,plain,(
% 138.16/18.01 ![X0]: (sK1_skl(xS,sdtmndt0(xS,xx))=X0|~sQ793_spl)),
% 138.16/18.01 inference(component_clause,[status(thm)],[f9325])).
% 138.16/18.01 fof(f9337,plain,(
% 138.16/18.01 $false|~sQ790_spl|~sQ5_spl),
% 138.16/18.01 inference(backward_subsumption_resolution,[status(thm)],[f6456,f9307])).
% 138.16/18.01 fof(f9557,plain,(
% 138.16/18.01 ![X0]: (sP0_prd(sK1_skl(xS,sdtmndt0(xS,xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(sK1_skl(xS,sdtmndt0(xS,xx)))|sK1_skl(xS,sdtmndt0(xS,xx))=X0|~sQ288_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2280,f106])).
% 138.16/18.01 fof(f9560,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),X0)|~sQ288_spl|~sQ1_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2280,f163])).
% 138.16/18.01 fof(f9571,definition,(
% 138.16/18.01 ![X0]: (sQ795_spl <=> (sP0_prd(sK1_skl(xS,sdtmndt0(xS,xx)),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|sK1_skl(xS,sdtmndt0(xS,xx))=X0))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ795_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f9574,plain,(
% 138.16/18.01 sQ795_spl|~sQ285_spl|~sQ288_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f9557,f9571,f2267,f2279])).
% 138.16/18.01 fof(f9576,definition,(
% 138.16/18.01 ![X0]: (sQ796_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK1_skl(xS,sdtmndt0(xS,xx)),X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ796_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f9579,plain,(
% 138.16/18.01 ~sQ41_spl|sQ796_spl|~sQ288_spl|~sQ1_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f9560,f648,f9576,f2279,f114])).
% 138.16/18.01 fof(f9587,plain,(
% 138.16/18.01 ~aSet0(sdtmndt0(xS,xx))|aSubsetOf0(xS,sdtmndt0(xS,xx))|~aSet0(xS)|~sQ284_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f2265,f52])).
% 138.16/18.01 fof(f9605,plain,(
% 138.16/18.01 ~sQ38_spl|sQ73_spl|~sQ0_spl|~sQ284_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f9587,f459,f795,f111,f2264])).
% 138.16/18.01 fof(f9693,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtmndt0(xS,xx))|aSubsetOf0(xS,sdtmndt0(xS,xx))|~aSet0(xS)|~aElementOf0(X0,sdtmndt0(xS,xx))|~sQ793_spl)),
% 138.16/18.01 inference(paramodulation,[status(thm)],[f9326,f52])).
% 138.16/18.01 fof(f9694,definition,(
% 138.16/18.01 ![X0]: (sQ800_spl <=> (~aElementOf0(X0,sdtmndt0(xS,xx))))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ800_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f9695,plain,(
% 138.16/18.01 ![X0]: (~aElementOf0(X0,sdtmndt0(xS,xx))|~sQ800_spl)),
% 138.16/18.01 inference(component_clause,[status(thm)],[f9694])).
% 138.16/18.01 fof(f9697,plain,(
% 138.16/18.01 ~sQ38_spl|sQ73_spl|~sQ0_spl|sQ800_spl|~sQ793_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f9693,f459,f795,f111,f9694,f9325])).
% 138.16/18.01 fof(f9789,plain,(
% 138.16/18.01 ![X0]: (~X0=slcrc0|aElementOf0(xx,X0)|~sQ207_spl|~sQ1_spl)),
% 138.16/18.01 inference(backward_demodulation,[status(thm)],[f1891,f636])).
% 138.16/18.01 fof(f9791,plain,(
% 138.16/18.01 ![X0]: (~X0=slcrc0|~sQ207_spl|~sQ1_spl)),
% 138.16/18.01 inference(forward_subsumption_resolution,[status(thm)],[f9789,f36])).
% 138.16/18.01 fof(f9824,plain,(
% 138.16/18.01 $false|~sQ800_spl|~sQ5_spl),
% 138.16/18.01 inference(backward_subsumption_resolution,[status(thm)],[f141,f9695])).
% 138.16/18.01 fof(f9825,plain,(
% 138.16/18.01 ~sQ800_spl|~sQ5_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f9824])).
% 138.16/18.01 fof(f9827,plain,(
% 138.16/18.01 sQ281_spl|~sQ61_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f2209,f2236,f747])).
% 138.16/18.01 fof(f10531,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X0,sdtmndt0(xS,xx))|~sQ67_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f775,f50])).
% 138.16/18.01 fof(f10535,definition,(
% 138.16/18.01 ![X0]: (sQ851_spl <=> (~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X0,sdtmndt0(xS,xx))))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ851_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f10536,plain,(
% 138.16/18.01 ![X0]: (~aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X0,sdtmndt0(xS,xx))|~sQ851_spl)),
% 138.16/18.01 inference(component_clause,[status(thm)],[f10535])).
% 138.16/18.01 fof(f10538,plain,(
% 138.16/18.01 ~sQ38_spl|sQ851_spl|~sQ67_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f10531,f459,f10535,f774])).
% 138.16/18.01 fof(f10778,definition,(
% 138.16/18.01 sQ865_spl <=> (aElementOf0(sK0_skl(sdtmndt0(xS,xx)),slcrc0))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ865_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f10779,plain,(
% 138.16/18.01 aElementOf0(sK0_skl(sdtmndt0(xS,xx)),slcrc0)|~sQ865_spl),
% 138.16/18.01 inference(component_clause,[status(thm)],[f10778])).
% 138.16/18.01 fof(f10797,definition,(
% 138.16/18.01 sQ867_spl <=> (sdtpldt0(slcrc0,xx)=sdtmndt0(xS,sK0_skl(sdtpldt0(slcrc0,xx))))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ867_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f10853,plain,(
% 138.16/18.01 ~sdtpldt0(slcrc0,xx)=sdtmndt0(xS,sK0_skl(sdtpldt0(slcrc0,xx)))|sP0_prd(sK0_skl(sdtpldt0(slcrc0,xx)),sK0_skl(sdtpldt0(slcrc0,xx)),xS)|~sQ140_spl|~sQ40_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f2652,f501])).
% 138.16/18.01 fof(f10883,definition,(
% 138.16/18.01 sQ888_spl <=> (sP0_prd(sK0_skl(sdtpldt0(slcrc0,xx)),sK0_skl(sdtpldt0(slcrc0,xx)),xS))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ888_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f10884,plain,(
% 138.16/18.01 sP0_prd(sK0_skl(sdtpldt0(slcrc0,xx)),sK0_skl(sdtpldt0(slcrc0,xx)),xS)|~sQ888_spl),
% 138.16/18.01 inference(component_clause,[status(thm)],[f10883])).
% 138.16/18.01 fof(f10886,plain,(
% 138.16/18.01 ~sQ867_spl|sQ888_spl|~sQ140_spl|~sQ40_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f10853,f10797,f10883,f1282,f500])).
% 138.16/18.01 fof(f10898,plain,(
% 138.16/18.01 $false|~sQ888_spl),
% 138.16/18.01 inference(forward_subsumption_resolution,[status(thm)],[f10884,f109])).
% 138.16/18.01 fof(f10899,plain,(
% 138.16/18.01 ~sQ888_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f10898])).
% 138.16/18.01 fof(f11050,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),X0)|~sQ140_spl|~sQ68_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2660,f778])).
% 138.16/18.01 fof(f11053,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtpldt0(slcrc0,xx))|~X0=sdtpldt0(sdtpldt0(slcrc0,xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),X0)|~sQ140_spl|~sQ40_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2660,f501])).
% 138.16/18.01 fof(f11054,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~X0=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ140_spl|~sQ5_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2660,f141])).
% 138.16/18.01 fof(f11055,plain,(
% 138.16/18.01 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ140_spl|~sQ5_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2660,f6456])).
% 138.16/18.01 fof(f11056,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ140_spl|~sQ5_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2660,f1432])).
% 138.16/18.01 fof(f11057,plain,(
% 138.16/18.01 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(xx,X0)|~sQ140_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2660,f86])).
% 138.16/18.01 fof(f11058,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(xx,X0)|~sQ140_spl|~sQ23_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2660,f273])).
% 138.16/18.01 fof(f11067,definition,(
% 138.16/18.01 ![X0]: (sQ917_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ917_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11070,plain,(
% 138.16/18.01 ~sQ41_spl|sQ917_spl|~sQ140_spl|~sQ68_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11050,f648,f11067,f1282,f777])).
% 138.16/18.01 fof(f11079,definition,(
% 138.16/18.01 ![X0]: (sQ920_spl <=> (~X0=sdtpldt0(sdtpldt0(slcrc0,xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ920_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11082,plain,(
% 138.16/18.01 ~sQ121_spl|sQ920_spl|~sQ140_spl|~sQ40_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11053,f1163,f11079,f1282,f500])).
% 138.16/18.01 fof(f11083,definition,(
% 138.16/18.01 ![X0]: (sQ921_spl <=> (~X0=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ921_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11086,plain,(
% 138.16/18.01 ~sQ38_spl|sQ921_spl|~sQ140_spl|~sQ5_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11054,f459,f11083,f1282,f140])).
% 138.16/18.01 fof(f11087,definition,(
% 138.16/18.01 ![X0]: (sQ922_spl <=> (~X0=sdtpldt0(xS,sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ922_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11090,plain,(
% 138.16/18.01 ~sQ0_spl|sQ922_spl|~sQ140_spl|~sQ5_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11055,f111,f11087,f1282,f140])).
% 138.16/18.01 fof(f11091,definition,(
% 138.16/18.01 ![X0]: (sQ923_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ923_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11094,plain,(
% 138.16/18.01 ~sQ41_spl|sQ923_spl|~sQ140_spl|~sQ5_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11056,f648,f11091,f1282,f140])).
% 138.16/18.01 fof(f11095,definition,(
% 138.16/18.01 ![X0]: (sQ924_spl <=> (~X0=sdtpldt0(xS,sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(xx,X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ924_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11098,plain,(
% 138.16/18.01 ~sQ0_spl|sQ924_spl|~sQ140_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11057,f111,f11095,f1282])).
% 138.16/18.01 fof(f11099,definition,(
% 138.16/18.01 ![X0]: (sQ925_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(xx,X0)))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ925_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11102,plain,(
% 138.16/18.01 ~sQ41_spl|sQ925_spl|~sQ140_spl|~sQ23_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11058,f648,f11099,f1282,f272])).
% 138.16/18.01 fof(f11202,plain,(
% 138.16/18.01 sdtmndt0(sdtmndt0(xS,xx),xx)=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElement0(sK2_skl(sdtmndt0(sdtmndt0(xS,xx),xx),xx,sdtpldt0(sdtmndt0(xS,xx),xx)))|~sQ1_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f1787,f882])).
% 138.16/18.01 fof(f11208,plain,(
% 138.16/18.01 sdtmndt0(sdtmndt0(xS,xx),xx)=sdtpldt0(sdtmndt0(xS,xx),xx)|aElement0(sK2_skl(sdtmndt0(sdtmndt0(xS,xx),xx),xx,sdtmndt0(xS,xx)))|~sQ1_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f1787,f879])).
% 138.16/18.01 fof(f11263,definition,(
% 138.16/18.01 sQ952_spl <=> (sdtmndt0(sdtmndt0(xS,xx),xx)=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ952_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11266,definition,(
% 138.16/18.01 sQ953_spl <=> (aElement0(sK2_skl(sdtmndt0(sdtmndt0(xS,xx),xx),xx,sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ953_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11269,plain,(
% 138.16/18.01 sQ952_spl|sQ953_spl|~sQ1_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11202,f11263,f11266,f114])).
% 138.16/18.01 fof(f11317,definition,(
% 138.16/18.01 sQ968_spl <=> (aElement0(sK2_skl(sdtmndt0(sdtmndt0(xS,xx),xx),xx,sdtmndt0(xS,xx))))),
% 138.16/18.01 introduced(definition,[new_symbols(definition,[sQ968_spl])],[split_symbol_definition])).
% 138.16/18.01 fof(f11320,plain,(
% 138.16/18.01 sQ271_spl|sQ968_spl|~sQ1_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11208,f2180,f11317,f114])).
% 138.16/18.01 fof(f11375,plain,(
% 138.16/18.01 ~slcrc0=slcrc0|~sQ349_spl),
% 138.16/18.01 inference(resolution,[status(thm)],[f3016,f36])).
% 138.16/18.01 fof(f11430,plain,(
% 138.16/18.01 $false|~sQ349_spl),
% 138.16/18.01 inference(trivial_equality_resolution,[status(thm)],[f11375])).
% 138.16/18.01 fof(f11431,plain,(
% 138.16/18.01 ~sQ349_spl),
% 138.16/18.01 inference(contradiction_clause,[status(thm)],[f11430])).
% 138.16/18.01 fof(f11452,plain,(
% 138.16/18.01 aElementOf0(xx,sdtpldt0(slcrc0,xx))|~sQ1_spl),
% 138.16/18.01 inference(equality_resolution,[status(thm)],[f1383])).
% 138.16/18.01 fof(f11453,plain,(
% 138.16/18.01 sQ298_spl|~sQ1_spl),
% 138.16/18.01 inference(split_clause,[status(thm)],[f11452,f2450,f114])).
% 138.16/18.01 fof(f11454,plain,(
% 138.16/18.01 ![X0]: (~aSet0(sdtpldt0(slcrc0,xx))|~X0=sdtpldt0(sdtpldt0(slcrc0,xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(xx,X0)|~sQ298_spl|~sQ140_spl)),
% 138.16/18.01 inference(resolution,[status(thm)],[f2451,f2660])).
% 138.16/18.01 fof(f11463,plain,(
% 70.28/18.02 ~sdtpldt0(slcrc0,xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|sP0_prd(xx,xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ298_spl|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f2451,f967])).
% 70.28/18.02 fof(f11464,plain,(
% 70.28/18.02 ~sdtpldt0(slcrc0,xx)=sdtmndt0(xS,xx)|sP0_prd(xx,xx,xS)|~sQ298_spl|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f2451,f3814])).
% 70.28/18.02 fof(f11465,plain,(
% 70.28/18.02 ~sdtpldt0(slcrc0,xx)=sdtmndt0(sdtmndt0(xS,xx),xx)|sP0_prd(xx,xx,sdtmndt0(xS,xx))|~sQ298_spl|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f2451,f926])).
% 70.28/18.02 fof(f11472,definition,(
% 70.28/18.02 ![X0]: (sQ995_spl <=> (~X0=sdtpldt0(sdtpldt0(slcrc0,xx),sK0_skl(sdtpldt0(slcrc0,xx)))|aElementOf0(xx,X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ995_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f11475,plain,(
% 70.28/18.02 ~sQ121_spl|sQ995_spl|~sQ298_spl|~sQ140_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f11454,f1163,f11472,f2450,f1282])).
% 70.28/18.02 fof(f11484,plain,(
% 70.28/18.02 ~sQ662_spl|sQ700_spl|~sQ298_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f11463,f7639,f7791,f2450,f114])).
% 70.28/18.02 fof(f11485,plain,(
% 70.28/18.02 ~sQ637_spl|sQ331_spl|~sQ298_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f11464,f7392,f2925,f2450,f114])).
% 70.28/18.02 fof(f11486,plain,(
% 70.28/18.02 ~sQ269_spl|sQ276_spl|~sQ298_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f11465,f2173,f2198,f2450,f114])).
% 70.28/18.02 fof(f11616,plain,(
% 70.28/18.02 ~slcrc0=slcrc0|~sQ380_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f3978,f36])).
% 70.28/18.02 fof(f11662,plain,(
% 70.28/18.02 $false|~sQ380_spl),
% 70.28/18.02 inference(trivial_equality_resolution,[status(thm)],[f11616])).
% 70.28/18.02 fof(f11663,plain,(
% 70.28/18.02 ~sQ380_spl),
% 70.28/18.02 inference(contradiction_clause,[status(thm)],[f11662])).
% 70.28/18.02 fof(f11694,plain,(
% 70.28/18.02 ~slcrc0=slcrc0|~sQ384_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f4000,f36])).
% 70.28/18.02 fof(f11739,plain,(
% 70.28/18.02 $false|~sQ384_spl),
% 70.28/18.02 inference(trivial_equality_resolution,[status(thm)],[f11694])).
% 70.28/18.02 fof(f11740,plain,(
% 70.28/18.02 ~sQ384_spl),
% 70.28/18.02 inference(contradiction_clause,[status(thm)],[f11739])).
% 70.28/18.02 fof(f11743,plain,(
% 70.28/18.02 ![X0]: (sK1_skl(slcrc0,sdtpldt0(slcrc0,xx))=X0|aElementOf0(sK1_skl(slcrc0,sdtpldt0(slcrc0,xx)),slcrc0)|~sQ389_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f4047,f104])).
% 70.28/18.02 fof(f11749,definition,(
% 70.28/18.02 ![X0]: (sQ1028_spl <=> (sK1_skl(slcrc0,sdtpldt0(slcrc0,xx))=X0))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1028_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f11750,plain,(
% 70.28/18.02 ![X0]: (sK1_skl(slcrc0,sdtpldt0(slcrc0,xx))=X0|~sQ1028_spl)),
% 70.28/18.02 inference(component_clause,[status(thm)],[f11749])).
% 70.28/18.02 fof(f11753,plain,(
% 70.28/18.02 sQ1028_spl|sQ310_spl|~sQ389_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f11743,f11749,f2573,f4046])).
% 70.28/18.02 fof(f11792,definition,(
% 70.28/18.02 ![X0]: (sQ1031_spl <=> (~aElementOf0(X0,sdtpldt0(slcrc0,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1031_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f11793,plain,(
% 70.28/18.02 ![X0]: (~aElementOf0(X0,sdtpldt0(slcrc0,xx))|~sQ1031_spl)),
% 70.28/18.02 inference(component_clause,[status(thm)],[f11792])).
% 70.28/18.02 fof(f11859,plain,(
% 70.28/18.02 ~slcrc0=slcrc0|~sQ391_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f4087,f36])).
% 70.28/18.02 fof(f11905,plain,(
% 70.28/18.02 $false|~sQ391_spl),
% 70.28/18.02 inference(trivial_equality_resolution,[status(thm)],[f11859])).
% 70.28/18.02 fof(f11906,plain,(
% 70.28/18.02 ~sQ391_spl),
% 70.28/18.02 inference(contradiction_clause,[status(thm)],[f11905])).
% 70.28/18.02 fof(f12372,plain,(
% 70.28/18.02 $false|~sQ1031_spl|~sQ40_spl),
% 70.28/18.02 inference(backward_subsumption_resolution,[status(thm)],[f501,f11793])).
% 70.28/18.02 fof(f12374,plain,(
% 70.28/18.02 ~sQ1031_spl|~sQ40_spl),
% 70.28/18.02 inference(contradiction_clause,[status(thm)],[f12372])).
% 70.28/18.02 fof(f12651,plain,(
% 70.28/18.02 ~slcrc0=slcrc0|~sQ405_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f4201,f36])).
% 70.28/18.02 fof(f12669,plain,(
% 70.28/18.02 $false|~sQ405_spl),
% 70.28/18.02 inference(trivial_equality_resolution,[status(thm)],[f12651])).
% 70.28/18.02 fof(f12670,plain,(
% 70.28/18.02 ~sQ405_spl),
% 70.28/18.02 inference(contradiction_clause,[status(thm)],[f12669])).
% 70.28/18.02 fof(f12857,plain,(
% 70.28/18.02 $false|~sQ207_spl|~sQ1_spl),
% 70.28/18.02 inference(equality_resolution,[status(thm)],[f9791])).
% 70.28/18.02 fof(f12858,plain,(
% 70.28/18.02 ~sQ207_spl|~sQ1_spl),
% 70.28/18.02 inference(contradiction_clause,[status(thm)],[f12857])).
% 70.28/18.02 fof(f12878,plain,(
% 70.28/18.02 ~xS=sdtmndt0(slcrc0,xx)|sP0_prd(xx,xx,slcrc0)|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1573,f86])).
% 70.28/18.02 fof(f12879,plain,(
% 70.28/18.02 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(slcrc0,xx)|sP0_prd(xx,xx,slcrc0)|~sQ1_spl|~sQ23_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1573,f273])).
% 70.28/18.02 fof(f12888,plain,(
% 70.28/18.02 ~sQ340_spl|sQ485_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f12878,f2977,f5024,f114])).
% 70.28/18.02 fof(f12889,plain,(
% 70.28/18.02 ~sQ598_spl|sQ485_spl|~sQ1_spl|~sQ23_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f12879,f7044,f5024,f114,f272])).
% 70.28/18.02 fof(f13015,plain,(
% 70.28/18.02 aElementOf0(sK2_skl(xS,xx,sdtmndt0(xS,xx)),xS)|~sQ225_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1958,f92])).
% 70.28/18.02 fof(f13033,plain,(
% 70.28/18.02 sQ224_spl|~sQ225_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13015,f1954,f1957])).
% 70.28/18.02 fof(f13296,plain,(
% 70.28/18.02 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtmndt0(xS,xx))|sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)=xx|~sQ167_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1555,f97])).
% 70.28/18.02 fof(f13307,plain,(
% 70.28/18.02 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtpldt0(sdtmndt0(xS,xx),xx)|aElement0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0))|~sQ167_spl|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1555,f323])).
% 70.28/18.02 fof(f13309,plain,(
% 70.28/18.02 ![X0]: (sP0_prd(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0))|sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)=X0|~sQ167_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1555,f106])).
% 70.28/18.02 fof(f13311,plain,(
% 70.28/18.02 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),X0)|~sQ167_spl|~sQ1_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1555,f163])).
% 70.28/18.02 fof(f13312,definition,(
% 70.28/18.02 sQ1105_spl <=> (aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),sdtmndt0(xS,xx)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1105_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13315,definition,(
% 70.28/18.02 sQ1106_spl <=> (sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)=xx)),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1106_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13318,plain,(
% 70.28/18.02 sQ1105_spl|sQ1106_spl|~sQ167_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13296,f13312,f13315,f1554])).
% 70.28/18.02 fof(f13329,definition,(
% 70.28/18.02 sQ1109_spl <=> (aElement0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1109_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13345,plain,(
% 70.28/18.02 ~sQ44_spl|sQ1109_spl|~sQ167_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13307,f658,f13329,f1554,f114])).
% 70.28/18.02 fof(f13347,definition,(
% 70.28/18.02 ![X0]: (sQ1113_spl <=> (sP0_prd(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),X0,sdtpldt0(sdtmndt0(xS,xx),xx))|sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0)=X0))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1113_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13350,plain,(
% 70.28/18.02 sQ1113_spl|~sQ1109_spl|~sQ167_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13309,f13347,f13329,f1554])).
% 70.28/18.02 fof(f13352,definition,(
% 70.28/18.02 ![X0]: (sQ1114_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1114_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13355,plain,(
% 70.28/18.02 ~sQ41_spl|sQ1114_spl|~sQ167_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13311,f648,f13352,f1554,f114])).
% 70.28/18.02 fof(f13356,plain,(
% 70.28/18.02 sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=slcrc0|aElementOf0(sK0_skl(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1691,f37])).
% 70.28/18.02 fof(f13382,definition,(
% 70.28/18.02 sQ1115_spl <=> (aElementOf0(sK0_skl(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)),sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1115_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13385,plain,(
% 70.28/18.02 sQ207_spl|sQ1115_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13356,f1890,f13382,f114])).
% 70.28/18.02 fof(f13437,definition,(
% 70.28/18.02 sQ1131_spl <=> (sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1131_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13579,plain,(
% 70.28/18.02 ~sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtmndt0(slcrc0,xx)|sP0_prd(xx,xx,slcrc0)|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1613,f1573])).
% 70.28/18.02 fof(f13585,plain,(
% 70.28/18.02 ~sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|sP0_prd(xx,xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1613,f967])).
% 70.28/18.02 fof(f13586,plain,(
% 70.28/18.02 ~sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtmndt0(xS,xx)|sP0_prd(xx,xx,xS)|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1613,f3814])).
% 70.28/18.02 fof(f13587,plain,(
% 70.28/18.02 ~sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtmndt0(sdtmndt0(xS,xx),xx)|sP0_prd(xx,xx,sdtmndt0(xS,xx))|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1613,f926])).
% 70.28/18.02 fof(f13590,plain,(
% 70.28/18.02 ![X0]: (sP0_prd(xx,X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~aElement0(xx)|xx=X0|~sQ1_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1613,f106])).
% 70.28/18.02 fof(f13592,plain,(
% 70.28/18.02 ![X0]: (~aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),xx)|aElementOf0(xx,X0)|~sQ1_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1613,f163])).
% 70.28/18.02 fof(f13593,plain,(
% 70.28/18.02 ~sQ600_spl|sQ485_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13579,f7062,f5024,f114])).
% 70.28/18.02 fof(f13598,plain,(
% 70.28/18.02 ~sQ1131_spl|sQ700_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13585,f13437,f7791,f114])).
% 70.28/18.02 fof(f13599,plain,(
% 70.28/18.02 ~sQ178_spl|sQ331_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13586,f1649,f2925,f114])).
% 70.28/18.02 fof(f13600,plain,(
% 70.28/18.02 ~sQ952_spl|sQ276_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13587,f11263,f2198,f114])).
% 70.28/18.02 fof(f13603,definition,(
% 70.28/18.02 ![X0]: (sQ1146_spl <=> (sP0_prd(xx,X0,sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|xx=X0))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1146_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13606,plain,(
% 70.28/18.02 sQ1146_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13590,f13603,f114])).
% 70.28/18.02 fof(f13607,definition,(
% 70.28/18.02 sQ1147_spl <=> (aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1147_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13609,plain,(
% 70.28/18.02 ~aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|sQ1147_spl),
% 70.28/18.02 inference(component_clause,[status(thm)],[f13607])).
% 70.28/18.02 fof(f13611,definition,(
% 70.28/18.02 ![X0]: (sQ1148_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),xx)|aElementOf0(xx,X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1148_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13614,plain,(
% 70.28/18.02 ~sQ1147_spl|sQ1148_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13592,f13607,f13611,f114])).
% 70.28/18.02 fof(f13615,plain,(
% 70.28/18.02 $false|~sQ1_spl|sQ1147_spl),
% 70.28/18.02 inference(forward_subsumption_resolution,[status(thm)],[f13609,f1691])).
% 70.28/18.02 fof(f13616,plain,(
% 70.28/18.02 ~sQ1_spl|sQ1147_spl),
% 70.28/18.02 inference(contradiction_clause,[status(thm)],[f13615])).
% 70.28/18.02 fof(f13622,plain,(
% 70.28/18.02 sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)|aElement0(sK2_skl(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),xx,sdtpldt0(sdtmndt0(xS,xx),xx)))|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1612,f882])).
% 70.28/18.02 fof(f13627,plain,(
% 70.28/18.02 sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtpldt0(sdtmndt0(xS,xx),xx)|aElement0(sK2_skl(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),xx,sdtmndt0(xS,xx)))|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1612,f879])).
% 70.28/18.02 fof(f13675,definition,(
% 70.28/18.02 sQ1158_spl <=> (aElement0(sK2_skl(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),xx,sdtpldt0(sdtmndt0(xS,xx),xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1158_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13678,plain,(
% 70.28/18.02 sQ1131_spl|sQ1158_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13622,f13437,f13675,f114])).
% 70.28/18.02 fof(f13713,definition,(
% 70.28/18.02 sQ1169_spl <=> (aElement0(sK2_skl(sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),xx,sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1169_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13716,plain,(
% 70.28/18.02 sQ665_spl|sQ1169_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13627,f7649,f13713,f114])).
% 70.28/18.02 fof(f13812,plain,(
% 70.28/18.02 aElement0(sK1_skl(sdtmndt0(xS,xx),slcrc0))|~sQ168_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1559,f91])).
% 70.28/18.02 fof(f13813,plain,(
% 70.28/18.02 ~sK1_skl(sdtmndt0(xS,xx),slcrc0)=xx|~sQ168_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1559,f93])).
% 70.28/18.02 fof(f13826,plain,(
% 70.28/18.02 ![X0]: (sP0_prd(sK1_skl(sdtmndt0(xS,xx),slcrc0),X0,sdtmndt0(xS,xx))|~aElement0(sK1_skl(sdtmndt0(xS,xx),slcrc0))|sK1_skl(sdtmndt0(xS,xx),slcrc0)=X0|~sQ168_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1559,f106])).
% 70.28/18.02 fof(f13827,plain,(
% 70.28/18.02 ~aSet0(sdtmndt0(xS,xx))|aElement0(sK1_skl(sdtmndt0(xS,xx),slcrc0))|~sQ168_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1559,f28])).
% 70.28/18.02 fof(f13828,plain,(
% 70.28/18.02 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~X0=sdtpldt0(sdtmndt0(xS,xx),xx)|aElementOf0(sK1_skl(sdtmndt0(xS,xx),slcrc0),X0)|~sQ168_spl|~sQ1_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1559,f163])).
% 70.28/18.02 fof(f13836,definition,(
% 70.28/18.02 sQ1196_spl <=> (sK1_skl(sdtmndt0(xS,xx),slcrc0)=xx)),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1196_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13837,plain,(
% 70.28/18.02 sK1_skl(sdtmndt0(xS,xx),slcrc0)=xx|~sQ1196_spl),
% 70.28/18.02 inference(component_clause,[status(thm)],[f13836])).
% 70.28/18.02 fof(f13845,definition,(
% 70.28/18.02 sQ1198_spl <=> (aElement0(sK1_skl(sdtmndt0(xS,xx),slcrc0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1198_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13863,definition,(
% 70.28/18.02 ![X0]: (sQ1202_spl <=> (sP0_prd(sK1_skl(sdtmndt0(xS,xx),slcrc0),X0,sdtmndt0(xS,xx))|sK1_skl(sdtmndt0(xS,xx),slcrc0)=X0))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1202_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13866,plain,(
% 70.28/18.02 sQ1202_spl|~sQ1198_spl|~sQ168_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13826,f13863,f13845,f1558])).
% 70.28/18.02 fof(f13867,plain,(
% 70.28/18.02 ~sQ38_spl|sQ1198_spl|~sQ168_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13827,f459,f13845,f1558])).
% 70.28/18.02 fof(f13868,definition,(
% 70.28/18.02 ![X0]: (sQ1203_spl <=> (~X0=sdtpldt0(sdtmndt0(xS,xx),xx)|aElementOf0(sK1_skl(sdtmndt0(xS,xx),slcrc0),X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1203_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13871,plain,(
% 70.28/18.02 ~sQ38_spl|sQ1203_spl|~sQ168_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13828,f459,f13868,f1558,f114])).
% 70.28/18.02 fof(f13904,plain,(
% 70.28/18.02 ![X0,X1]: (sK0_skl(sdtmndt0(xS,xx))=X0|~aSet0(xS)|~aElement0(X0)|~X1=sdtmndt0(xS,X0)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X1)|~sQ101_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1037,f82])).
% 70.28/18.02 fof(f13906,plain,(
% 70.28/18.02 ![X0]: (sK0_skl(sdtmndt0(xS,xx))=X0|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),xS)|~sQ101_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1037,f104])).
% 70.28/18.02 fof(f13908,definition,(
% 70.28/18.02 ![X0,X1]: (sQ1207_spl <=> (sK0_skl(sdtmndt0(xS,xx))=X0|~aElement0(X0)|~X1=sdtmndt0(xS,X0)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X1)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1207_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f13911,plain,(
% 70.28/18.02 sQ1207_spl|~sQ0_spl|~sQ101_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13904,f13908,f111,f1036])).
% 70.28/18.02 fof(f13913,plain,(
% 70.28/18.02 sQ650_spl|sQ175_spl|~sQ101_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13906,f7464,f1624,f1036])).
% 70.28/18.02 fof(f13916,plain,(
% 70.28/18.02 ![X0,X1]: (~X0=xS|~aElementOf0(X1,X0)|aElementOf0(X1,slcrc0)|X1=xx|~sQ118_spl|~sQ1_spl)),
% 70.28/18.02 inference(forward_demodulation,[status(thm)],[f1152,f1389])).
% 70.28/18.02 fof(f13923,plain,(
% 70.28/18.02 ~xS=xS|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),slcrc0)|sK0_skl(sdtmndt0(xS,xx))=xx|~sQ118_spl|~sQ1_spl|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f13916,f6456])).
% 70.28/18.02 fof(f13941,plain,(
% 70.28/18.02 ~sQ19_spl|sQ865_spl|sQ83_spl|~sQ118_spl|~sQ1_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f13923,f250,f10778,f858,f1151,f114,f140])).
% 70.28/18.02 fof(f14036,definition,(
% 70.28/18.02 sQ1210_spl <=> (sP0_prd(sK1_skl(slcrc0,xS),xx,slcrc0))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1210_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14037,plain,(
% 70.28/18.02 sP0_prd(sK1_skl(slcrc0,xS),xx,slcrc0)|~sQ1210_spl),
% 70.28/18.02 inference(component_clause,[status(thm)],[f14036])).
% 70.28/18.02 fof(f14168,plain,(
% 70.28/18.02 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~X0=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK1_skl(sdtmndt0(xS,xx),slcrc0),X0)|~sQ5_spl|~sQ168_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1828,f1559])).
% 70.28/18.02 fof(f14169,plain,(
% 70.28/18.02 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ5_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1828,f6456])).
% 70.28/18.02 fof(f14170,plain,(
% 70.28/18.02 ![X0]: (~aSet0(sdtmndt0(xS,xx))|~X0=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ5_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1828,f141])).
% 70.28/18.02 fof(f14171,plain,(
% 70.28/18.02 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ5_spl)),
% 70.28/18.02 inference(resolution,[status(thm)],[f1828,f1432])).
% 70.28/18.02 fof(f14183,definition,(
% 70.28/18.02 ![X0]: (sQ1218_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1218_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14191,definition,(
% 70.28/18.02 ![X0]: (sQ1220_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1220_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14195,definition,(
% 70.28/18.02 ![X0]: (sQ1221_spl <=> (~X0=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK1_skl(sdtmndt0(xS,xx),slcrc0),X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1221_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14198,plain,(
% 70.28/18.02 ~sQ38_spl|sQ1221_spl|~sQ5_spl|~sQ168_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14168,f459,f14195,f140,f1558])).
% 70.28/18.02 fof(f14199,definition,(
% 70.28/18.02 ![X0]: (sQ1222_spl <=> (~X0=sdtpldt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1222_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14202,plain,(
% 70.28/18.02 ~sQ0_spl|sQ1222_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14169,f111,f14199,f140])).
% 70.28/18.02 fof(f14203,definition,(
% 70.28/18.02 ![X0]: (sQ1223_spl <=> (~X0=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1223_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14206,plain,(
% 70.28/18.02 ~sQ38_spl|sQ1223_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14170,f459,f14203,f140])).
% 70.28/18.02 fof(f14207,definition,(
% 70.28/18.02 ![X0]: (sQ1224_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1224_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14210,plain,(
% 70.28/18.02 ~sQ41_spl|sQ1224_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14171,f648,f14207,f140])).
% 70.28/18.02 fof(f14211,definition,(
% 70.28/18.02 ![X0]: (sQ1225_spl <=> (~X0=sdtpldt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1225_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14215,definition,(
% 70.28/18.02 ![X0]: (sQ1226_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1226_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14219,definition,(
% 70.28/18.02 ![X0]: (sQ1227_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1227_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14557,plain,(
% 70.28/18.02 ~xS=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,sdtmndt0(xS,xx))|xx=sK0_skl(sdtmndt0(xS,xx))|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1814,f86])).
% 70.28/18.02 fof(f14558,plain,(
% 70.28/18.02 ~sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,sdtmndt0(xS,xx))|xx=sK0_skl(sdtmndt0(xS,xx))|~sQ5_spl|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1814,f1613])).
% 70.28/18.02 fof(f14559,plain,(
% 70.28/18.02 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,sdtmndt0(xS,xx))|xx=sK0_skl(sdtmndt0(xS,xx))|~sQ5_spl|~sQ23_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1814,f273])).
% 70.28/18.02 fof(f14560,definition,(
% 70.28/18.02 sQ1246_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1246_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14564,definition,(
% 70.28/18.02 sQ1247_spl <=> (xS=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1247_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14579,plain,(
% 70.28/18.02 ~sQ1247_spl|sQ26_spl|sQ83_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14557,f14564,f285,f858,f140])).
% 70.28/18.02 fof(f14580,definition,(
% 70.28/18.02 sQ1249_spl <=> (sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1249_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14583,plain,(
% 70.28/18.02 ~sQ1249_spl|sQ26_spl|sQ83_spl|~sQ5_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14558,f14580,f285,f858,f140,f114])).
% 70.28/18.02 fof(f14584,plain,(
% 70.28/18.02 ~sQ1246_spl|sQ26_spl|sQ83_spl|~sQ5_spl|~sQ23_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14559,f14560,f285,f858,f140,f272])).
% 70.28/18.02 fof(f14612,plain,(
% 70.28/18.02 sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElement0(sK2_skl(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))|~sQ5_spl|~sQ1_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1811,f1691])).
% 70.28/18.02 fof(f14613,plain,(
% 70.28/18.02 sdtpldt0(sdtmndt0(xS,xx),xx)=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElement0(sK2_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1811,f95])).
% 70.28/18.02 fof(f14619,plain,(
% 70.28/18.02 xS=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElement0(sK2_skl(xS,sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1811,f85])).
% 70.28/18.02 fof(f14620,definition,(
% 70.28/18.02 sQ1250_spl <=> (aElement0(sK2_skl(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1250_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14623,plain,(
% 70.28/18.02 sQ1249_spl|sQ1250_spl|~sQ5_spl|~sQ1_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14612,f14580,f14620,f140,f114])).
% 70.28/18.02 fof(f14624,definition,(
% 70.28/18.02 sQ1251_spl <=> (aElement0(sK2_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1251_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14627,plain,(
% 70.28/18.02 sQ1246_spl|sQ1251_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14613,f14560,f14624,f140])).
% 70.28/18.02 fof(f14660,definition,(
% 70.28/18.02 sQ1261_spl <=> (aElement0(sK2_skl(xS,sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1261_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f14663,plain,(
% 70.28/18.02 sQ1247_spl|sQ1261_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f14619,f14564,f14660,f140])).
% 70.28/18.02 fof(f15038,plain,(
% 70.28/18.02 ~xS=sdtmndt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1805,f6456])).
% 70.28/18.02 fof(f15039,plain,(
% 70.28/18.02 ~sdtmndt0(xS,xx)=sdtmndt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1805,f141])).
% 70.28/18.02 fof(f15040,plain,(
% 70.28/18.02 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1805,f1432])).
% 70.28/18.02 fof(f15044,definition,(
% 70.28/18.02 sQ1355_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1355_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f15051,definition,(
% 70.28/18.02 sQ1357_spl <=> (xS=sdtmndt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1357_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f15070,definition,(
% 70.28/18.02 sQ1362_spl <=> (sdtmndt0(xS,xx)=sdtmndt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1362_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f15081,definition,(
% 70.28/18.02 sQ1365_spl <=> (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1365_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f15082,plain,(
% 70.28/18.02 sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))|~sQ1365_spl),
% 70.28/18.02 inference(component_clause,[status(thm)],[f15081])).
% 70.28/18.02 fof(f15084,plain,(
% 70.28/18.02 ~sQ1357_spl|sQ1365_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f15038,f15051,f15081,f140])).
% 70.28/18.02 fof(f15085,plain,(
% 70.28/18.02 ~sQ1362_spl|sQ1365_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f15039,f15070,f15081,f140])).
% 70.28/18.02 fof(f15086,plain,(
% 70.28/18.02 ~sQ1355_spl|sQ1365_spl|~sQ5_spl),
% 70.28/18.02 inference(split_clause,[status(thm)],[f15040,f15044,f15081,f140])).
% 70.28/18.02 fof(f15096,plain,(
% 70.28/18.02 $false|~sQ1365_spl),
% 70.28/18.02 inference(forward_subsumption_resolution,[status(thm)],[f15082,f109])).
% 70.28/18.02 fof(f15097,plain,(
% 70.28/18.02 ~sQ1365_spl),
% 70.28/18.02 inference(contradiction_clause,[status(thm)],[f15096])).
% 70.28/18.02 fof(f15105,plain,(
% 70.28/18.02 ~xS=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1804,f6456])).
% 70.28/18.02 fof(f15106,plain,(
% 70.28/18.02 ~sdtmndt0(xS,xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1804,f141])).
% 70.28/18.02 fof(f15107,plain,(
% 70.28/18.02 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ5_spl),
% 70.28/18.02 inference(resolution,[status(thm)],[f1804,f1432])).
% 70.28/18.02 fof(f15111,definition,(
% 70.28/18.02 sQ1368_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1368_spl])],[split_symbol_definition])).
% 70.28/18.02 fof(f15118,definition,(
% 70.28/18.02 sQ1370_spl <=> (xS=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.02 introduced(definition,[new_symbols(definition,[sQ1370_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15137,definition,(
% 70.28/18.03 sQ1375_spl <=> (sdtmndt0(xS,xx)=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1375_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15148,definition,(
% 70.28/18.03 sQ1378_spl <=> (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1378_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15149,plain,(
% 70.28/18.03 sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ1378_spl),
% 70.28/18.03 inference(component_clause,[status(thm)],[f15148])).
% 70.28/18.03 fof(f15151,plain,(
% 70.28/18.03 ~sQ1370_spl|sQ1378_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15105,f15118,f15148,f140])).
% 70.28/18.03 fof(f15152,plain,(
% 70.28/18.03 ~sQ1375_spl|sQ1378_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15106,f15137,f15148,f140])).
% 70.28/18.03 fof(f15153,plain,(
% 70.28/18.03 ~sQ1368_spl|sQ1378_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15107,f15111,f15148,f140])).
% 70.28/18.03 fof(f15163,plain,(
% 70.28/18.03 $false|~sQ1378_spl),
% 70.28/18.03 inference(forward_subsumption_resolution,[status(thm)],[f15149,f109])).
% 70.28/18.03 fof(f15164,plain,(
% 70.28/18.03 ~sQ1378_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f15163])).
% 70.28/18.03 fof(f15172,plain,(
% 70.28/18.03 ~xS=sdtmndt0(xS,sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),xS)|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1803,f6456])).
% 70.28/18.03 fof(f15173,plain,(
% 70.28/18.03 ~sdtmndt0(xS,xx)=sdtmndt0(xS,sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),xS)|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1803,f141])).
% 70.28/18.03 fof(f15174,plain,(
% 70.28/18.03 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(xS,sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),xS)|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1803,f1432])).
% 70.28/18.03 fof(f15178,definition,(
% 70.28/18.03 sQ1381_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(xS,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1381_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15185,definition,(
% 70.28/18.03 sQ1383_spl <=> (xS=sdtmndt0(xS,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1383_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15204,definition,(
% 70.28/18.03 sQ1388_spl <=> (sdtmndt0(xS,xx)=sdtmndt0(xS,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1388_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15215,definition,(
% 70.28/18.03 sQ1391_spl <=> (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),xS))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1391_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15216,plain,(
% 70.28/18.03 sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),xS)|~sQ1391_spl),
% 70.28/18.03 inference(component_clause,[status(thm)],[f15215])).
% 70.28/18.03 fof(f15218,plain,(
% 70.28/18.03 ~sQ1383_spl|sQ1391_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15172,f15185,f15215,f140])).
% 70.28/18.03 fof(f15219,plain,(
% 70.28/18.03 ~sQ1388_spl|sQ1391_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15173,f15204,f15215,f140])).
% 70.28/18.03 fof(f15220,plain,(
% 70.28/18.03 ~sQ1381_spl|sQ1391_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15174,f15178,f15215,f140])).
% 70.28/18.03 fof(f15230,plain,(
% 70.28/18.03 $false|~sQ1391_spl),
% 70.28/18.03 inference(forward_subsumption_resolution,[status(thm)],[f15216,f109])).
% 70.28/18.03 fof(f15231,plain,(
% 70.28/18.03 ~sQ1391_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f15230])).
% 70.28/18.03 fof(f15479,plain,(
% 70.28/18.03 ~xS=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,slcrc0)|xx=sK0_skl(sdtmndt0(xS,xx))|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1796,f86])).
% 70.28/18.03 fof(f15480,plain,(
% 70.28/18.03 ~sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,slcrc0)|xx=sK0_skl(sdtmndt0(xS,xx))|~sQ5_spl|~sQ1_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1796,f1613])).
% 70.28/18.03 fof(f15481,plain,(
% 70.28/18.03 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,slcrc0)|xx=sK0_skl(sdtmndt0(xS,xx))|~sQ5_spl|~sQ23_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1796,f273])).
% 70.28/18.03 fof(f15482,definition,(
% 70.28/18.03 sQ1454_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1454_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15486,definition,(
% 70.28/18.03 sQ1455_spl <=> (xS=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1455_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15501,plain,(
% 70.28/18.03 ~sQ1455_spl|sQ6_spl|sQ83_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15479,f15486,f153,f858,f140])).
% 70.28/18.03 fof(f15502,definition,(
% 70.28/18.03 sQ1457_spl <=> (sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1457_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15505,plain,(
% 70.28/18.03 ~sQ1457_spl|sQ6_spl|sQ83_spl|~sQ5_spl|~sQ1_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15480,f15502,f153,f858,f140,f114])).
% 70.28/18.03 fof(f15506,plain,(
% 70.28/18.03 ~sQ1454_spl|sQ6_spl|sQ83_spl|~sQ5_spl|~sQ23_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15481,f15482,f153,f858,f140,f272])).
% 70.28/18.03 fof(f15533,plain,(
% 70.28/18.03 sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|aElement0(sK2_skl(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),sK0_skl(sdtmndt0(xS,xx)),slcrc0))|~sQ5_spl|~sQ1_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1794,f1691])).
% 70.28/18.03 fof(f15534,plain,(
% 70.28/18.03 sdtpldt0(sdtmndt0(xS,xx),xx)=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|aElement0(sK2_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)),slcrc0))|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1794,f95])).
% 70.28/18.03 fof(f15540,plain,(
% 70.28/18.03 xS=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|aElement0(sK2_skl(xS,sK0_skl(sdtmndt0(xS,xx)),slcrc0))|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1794,f85])).
% 70.28/18.03 fof(f15541,definition,(
% 70.28/18.03 sQ1458_spl <=> (aElement0(sK2_skl(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),sK0_skl(sdtmndt0(xS,xx)),slcrc0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1458_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15544,plain,(
% 70.28/18.03 sQ1457_spl|sQ1458_spl|~sQ5_spl|~sQ1_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15533,f15502,f15541,f140,f114])).
% 70.28/18.03 fof(f15545,definition,(
% 70.28/18.03 sQ1459_spl <=> (aElement0(sK2_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)),slcrc0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1459_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15548,plain,(
% 70.28/18.03 sQ1454_spl|sQ1459_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15534,f15482,f15545,f140])).
% 70.28/18.03 fof(f15581,definition,(
% 70.28/18.03 sQ1469_spl <=> (aElement0(sK2_skl(xS,sK0_skl(sdtmndt0(xS,xx)),slcrc0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1469_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15584,plain,(
% 70.28/18.03 sQ1455_spl|sQ1469_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15540,f15486,f15581,f140])).
% 70.28/18.03 fof(f15678,plain,(
% 70.28/18.03 ~xS=sdtmndt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),slcrc0)|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1792,f6456])).
% 70.28/18.03 fof(f15679,plain,(
% 70.28/18.03 ~sdtmndt0(xS,xx)=sdtmndt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),slcrc0)|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1792,f141])).
% 70.28/18.03 fof(f15680,plain,(
% 70.28/18.03 ~sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),slcrc0)|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1792,f1432])).
% 70.28/18.03 fof(f15684,definition,(
% 70.28/18.03 sQ1493_spl <=> (sdtpldt0(sdtmndt0(xS,xx),xx)=sdtmndt0(slcrc0,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1493_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15691,definition,(
% 70.28/18.03 sQ1495_spl <=> (xS=sdtmndt0(slcrc0,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1495_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15710,definition,(
% 70.28/18.03 sQ1500_spl <=> (sdtmndt0(xS,xx)=sdtmndt0(slcrc0,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1500_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15721,definition,(
% 70.28/18.03 sQ1503_spl <=> (sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),slcrc0))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1503_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f15722,plain,(
% 70.28/18.03 sP0_prd(sK0_skl(sdtmndt0(xS,xx)),sK0_skl(sdtmndt0(xS,xx)),slcrc0)|~sQ1503_spl),
% 70.28/18.03 inference(component_clause,[status(thm)],[f15721])).
% 70.28/18.03 fof(f15724,plain,(
% 70.28/18.03 ~sQ1495_spl|sQ1503_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15678,f15691,f15721,f140])).
% 70.28/18.03 fof(f15725,plain,(
% 70.28/18.03 ~sQ1500_spl|sQ1503_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15679,f15710,f15721,f140])).
% 70.28/18.03 fof(f15726,plain,(
% 70.28/18.03 ~sQ1493_spl|sQ1503_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f15680,f15684,f15721,f140])).
% 70.28/18.03 fof(f15736,plain,(
% 70.28/18.03 $false|~sQ1503_spl),
% 70.28/18.03 inference(forward_subsumption_resolution,[status(thm)],[f15722,f109])).
% 70.28/18.03 fof(f15737,plain,(
% 70.28/18.03 ~sQ1503_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f15736])).
% 70.28/18.03 fof(f16061,plain,(
% 70.28/18.03 ~slcrc0=slcrc0|~sQ865_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f10779,f36])).
% 70.28/18.03 fof(f16091,plain,(
% 70.28/18.03 $false|~sQ865_spl),
% 70.28/18.03 inference(trivial_equality_resolution,[status(thm)],[f16061])).
% 70.28/18.03 fof(f16092,plain,(
% 70.28/18.03 ~sQ865_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f16091])).
% 70.28/18.03 fof(f16130,definition,(
% 70.28/18.03 sQ1540_spl <=> (sdtpldt0(slcrc0,xx)=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1540_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f16156,definition,(
% 70.28/18.03 sQ1547_spl <=> (sdtpldt0(slcrc0,xx)=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1547_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f16172,definition,(
% 70.28/18.03 ![X0]: (sQ1550_spl <=> (~X0=sdtpldt0(sdtpldt0(slcrc0,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),X0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1550_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f16193,plain,(
% 70.28/18.03 ~sdtpldt0(slcrc0,xx)=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,slcrc0)|xx=sK0_skl(sdtmndt0(xS,xx))|~sQ298_spl|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f2451,f1796])).
% 70.28/18.03 fof(f16198,plain,(
% 70.28/18.03 ~sdtpldt0(slcrc0,xx)=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,sdtmndt0(xS,xx))|xx=sK0_skl(sdtmndt0(xS,xx))|~sQ298_spl|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f2451,f1814])).
% 70.28/18.03 fof(f16205,plain,(
% 70.28/18.03 ~sdtpldt0(slcrc0,xx)=sdtmndt0(slcrc0,xx)|sP0_prd(xx,xx,slcrc0)|~sQ298_spl|~sQ1_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f2451,f1573])).
% 70.28/18.03 fof(f16220,plain,(
% 70.28/18.03 ~sQ1540_spl|sQ6_spl|sQ83_spl|~sQ298_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f16193,f16130,f153,f858,f2450,f140])).
% 70.28/18.03 fof(f16225,plain,(
% 70.28/18.03 ~sQ1547_spl|sQ26_spl|sQ83_spl|~sQ298_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f16198,f16156,f285,f858,f2450,f140])).
% 70.28/18.03 fof(f16231,definition,(
% 70.28/18.03 ![X0]: (sQ1552_spl <=> (~X0=sdtpldt0(sdtpldt0(slcrc0,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1552_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f16235,plain,(
% 70.28/18.03 ~sQ335_spl|sQ485_spl|~sQ298_spl|~sQ1_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f16205,f2960,f5024,f2450,f114])).
% 70.28/18.03 fof(f16394,plain,(
% 70.28/18.03 sdtpldt0(slcrc0,xx)=sdtpldt0(slcrc0,sK0_skl(sdtmndt0(xS,xx)))|aElement0(sK2_skl(sdtpldt0(slcrc0,xx),sK0_skl(sdtmndt0(xS,xx)),slcrc0))|~sQ1_spl|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1092,f1794])).
% 70.28/18.03 fof(f16403,plain,(
% 70.28/18.03 sdtpldt0(slcrc0,xx)=sdtpldt0(sdtmndt0(xS,xx),sK0_skl(sdtmndt0(xS,xx)))|aElement0(sK2_skl(sdtpldt0(slcrc0,xx),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx)))|~sQ1_spl|~sQ5_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f1092,f1811])).
% 70.28/18.03 fof(f16447,definition,(
% 70.28/18.03 sQ1565_spl <=> (aElement0(sK2_skl(sdtpldt0(slcrc0,xx),sK0_skl(sdtmndt0(xS,xx)),slcrc0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1565_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f16450,plain,(
% 70.28/18.03 sQ1540_spl|sQ1565_spl|~sQ1_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f16394,f16130,f16447,f114,f140])).
% 70.28/18.03 fof(f16510,definition,(
% 70.28/18.03 sQ1583_spl <=> (aElement0(sK2_skl(sdtpldt0(slcrc0,xx),sK0_skl(sdtmndt0(xS,xx)),sdtmndt0(xS,xx))))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1583_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f16513,plain,(
% 70.28/18.03 sQ1547_spl|sQ1583_spl|~sQ1_spl|~sQ5_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f16403,f16156,f16510,f114,f140])).
% 70.28/18.03 fof(f16930,plain,(
% 70.28/18.03 ![X0,X1]: (X0=X1|~sQ1028_spl)),
% 70.28/18.03 inference(paramodulation,[status(thm)],[f11750,f11750])).
% 70.28/18.03 fof(f16978,plain,(
% 70.28/18.03 ![X0,X1,X2]: (~aSet0(X0)|aElementOf0(X1,X2)|~aElementOf0(X1,X0)|~sQ1028_spl|~sQ1_spl)),
% 70.28/18.03 inference(backward_subsumption_resolution,[status(thm)],[f163,f16930])).
% 70.28/18.03 fof(f17049,plain,(
% 70.28/18.03 sQ374_spl|~sQ1028_spl|~sQ1_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f16978,f3478,f11749,f114])).
% 70.28/18.03 fof(f18038,plain,(
% 70.28/18.03 ![X0]: (xx=sK1_skl(sdtmndt0(xS,xx),slcrc0)|~X0=sdtmndt0(xS,sK1_skl(sdtmndt0(xS,xx),slcrc0))|aElementOf0(xx,X0)|~sQ168_spl|~sQ35_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f13812,f393])).
% 70.28/18.03 fof(f18068,definition,(
% 70.28/18.03 ![X0]: (sQ1586_spl <=> (~X0=sdtmndt0(xS,sK1_skl(sdtmndt0(xS,xx),slcrc0))|aElementOf0(xx,X0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1586_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f18071,plain,(
% 70.28/18.03 sQ1196_spl|sQ1586_spl|~sQ168_spl|~sQ35_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f18038,f13836,f18068,f1558,f392])).
% 70.28/18.03 fof(f18073,plain,(
% 70.28/18.03 $false|~sQ168_spl|~sQ1196_spl),
% 70.28/18.03 inference(forward_subsumption_resolution,[status(thm)],[f13837,f13813])).
% 70.28/18.03 fof(f18074,plain,(
% 70.28/18.03 ~sQ168_spl|~sQ1196_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f18073])).
% 70.28/18.03 fof(f18126,plain,(
% 70.28/18.03 aElementOf0(sK1_skl(slcrc0,xS),slcrc0)|~sQ1210_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f14037,f104])).
% 70.28/18.03 fof(f18131,plain,(
% 70.28/18.03 sQ63_spl|~sQ1210_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f18126,f754,f14036])).
% 70.28/18.03 fof(f18448,plain,(
% 70.28/18.03 ~slcrc0=slcrc0|~sQ421_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f4263,f36])).
% 70.28/18.03 fof(f18472,plain,(
% 70.28/18.03 $false|~sQ421_spl),
% 70.28/18.03 inference(trivial_equality_resolution,[status(thm)],[f18448])).
% 70.28/18.03 fof(f18473,plain,(
% 70.28/18.03 ~sQ421_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f18472])).
% 70.28/18.03 fof(f19007,plain,(
% 70.28/18.03 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),slcrc0),X0)|~sQ37_spl|~sQ167_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f6787,f1555])).
% 70.28/18.03 fof(f19008,plain,(
% 70.28/18.03 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),X0)|~sQ37_spl|~sQ68_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f6787,f778])).
% 70.28/18.03 fof(f19014,plain,(
% 70.28/18.03 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)|~sQ37_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f6787,f86])).
% 70.28/18.03 fof(f19015,plain,(
% 70.28/18.03 ![X0]: (~aSet0(sdtpldt0(slcrc0,xx))|~X0=sdtpldt0(sdtpldt0(slcrc0,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)|~sQ37_spl|~sQ298_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f6787,f2451])).
% 70.28/18.03 fof(f19016,plain,(
% 70.28/18.03 ![X0]: (~aSet0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)|~sQ37_spl|~sQ1_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f6787,f1613])).
% 70.28/18.03 fof(f19017,plain,(
% 70.28/18.03 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(xx,X0)|~sQ37_spl|~sQ23_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f6787,f273])).
% 70.28/18.03 fof(f19020,plain,(
% 70.28/18.03 ~sQ41_spl|sQ1218_spl|~sQ37_spl|~sQ167_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19007,f648,f14183,f455,f1554])).
% 70.28/18.03 fof(f19021,plain,(
% 70.28/18.03 ~sQ41_spl|sQ1220_spl|~sQ37_spl|~sQ68_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19008,f648,f14191,f455,f777])).
% 70.28/18.03 fof(f19027,plain,(
% 70.28/18.03 ~sQ0_spl|sQ1225_spl|~sQ37_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19014,f111,f14211,f455])).
% 70.28/18.03 fof(f19028,plain,(
% 70.28/18.03 ~sQ121_spl|sQ1552_spl|~sQ37_spl|~sQ298_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19015,f1163,f16231,f455,f2450])).
% 70.28/18.03 fof(f19029,plain,(
% 70.28/18.03 ~sQ1147_spl|sQ1226_spl|~sQ37_spl|~sQ1_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19016,f13607,f14215,f455,f114])).
% 70.28/18.03 fof(f19030,plain,(
% 70.28/18.03 ~sQ41_spl|sQ1227_spl|~sQ37_spl|~sQ23_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19017,f648,f14219,f455,f272])).
% 70.28/18.03 fof(f19074,plain,(
% 70.28/18.03 ~aSet0(sdtmndt0(xS,xx))|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ612_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f7209,f52])).
% 70.28/18.03 fof(f19105,plain,(
% 70.28/18.03 ~sQ38_spl|sQ67_spl|~sQ41_spl|~sQ612_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19074,f459,f774,f648,f7208])).
% 70.28/18.03 fof(f19146,plain,(
% 70.28/18.03 sP0_prd(xx,xx,sdtmndt0(xS,xx))|~sQ613_spl|~sQ614_spl),
% 70.28/18.03 inference(forward_demodulation,[status(thm)],[f7212,f7216])).
% 70.28/18.03 fof(f19147,plain,(
% 70.28/18.03 $false|~sQ613_spl|~sQ614_spl),
% 70.28/18.03 inference(forward_subsumption_resolution,[status(thm)],[f19146,f109])).
% 70.28/18.03 fof(f19148,plain,(
% 70.28/18.03 ~sQ613_spl|~sQ614_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f19147])).
% 70.28/18.03 fof(f19151,plain,(
% 70.28/18.03 ~aSet0(xS)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(xx,xS)|~sQ624_spl),
% 70.28/18.03 inference(paramodulation,[status(thm)],[f7313,f52])).
% 70.28/18.03 fof(f19244,plain,(
% 70.28/18.03 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(xS)|~aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ632_spl),
% 70.28/18.03 inference(paramodulation,[status(thm)],[f7360,f52])).
% 70.28/18.03 fof(f19245,plain,(
% 70.28/18.03 ~sQ41_spl|sQ54_spl|~sQ0_spl|~sQ23_spl|~sQ632_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19244,f648,f718,f111,f272,f7359])).
% 70.28/18.03 fof(f19250,plain,(
% 70.28/18.03 ![X0]: (~aSet0(sdtpldt0(slcrc0,xx))|~X0=sdtpldt0(sdtpldt0(slcrc0,xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),X0)|~sQ40_spl|~sQ37_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f501,f6787])).
% 70.28/18.03 fof(f19274,plain,(
% 70.28/18.03 ~sQ121_spl|sQ1550_spl|~sQ40_spl|~sQ37_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19250,f1163,f16172,f500,f455])).
% 70.28/18.03 fof(f19345,plain,(
% 70.28/18.03 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(xS),X0)|~sQ3_spl|~sQ37_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f134,f6787])).
% 70.28/18.03 fof(f19369,definition,(
% 70.28/18.03 ![X0]: (sQ1601_spl <=> (~X0=sdtpldt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(xS),X0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1601_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f19372,plain,(
% 70.28/18.03 ~sQ0_spl|sQ1601_spl|~sQ3_spl|~sQ37_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19345,f111,f19369,f133,f455])).
% 70.28/18.03 fof(f19630,plain,(
% 70.28/18.03 ~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(xS)|~sQ634_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f7369,f52])).
% 70.28/18.03 fof(f19657,plain,(
% 70.28/18.03 ~sQ41_spl|sQ54_spl|~sQ0_spl|~sQ634_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19630,f648,f718,f111,f7368])).
% 70.28/18.03 fof(f19701,plain,(
% 70.28/18.03 aElementOf0(sK1_skl(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ630_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f7354,f314])).
% 70.28/18.03 fof(f19726,plain,(
% 70.28/18.03 sQ634_spl|~sQ630_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19701,f7368,f7353])).
% 70.28/18.03 fof(f19761,plain,(
% 70.28/18.03 ~sQ0_spl|sQ58_spl|~sQ41_spl|~sQ34_spl|~sQ624_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f19151,f111,f737,f648,f387,f7312])).
% 70.28/18.03 fof(f20032,plain,(
% 70.28/18.03 ![X0]: (~aSet0(xS)|~aElement0(xx)|~X0=sdtmndt0(xS,xx)|aElementOf0(sK3_skl(slcrc0,xx,xS),X0)|~sQ358_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f3052,f82])).
% 70.28/18.03 fof(f20033,plain,(
% 70.28/18.03 aElement0(sK3_skl(slcrc0,xx,xS))|~sQ358_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f3052,f103])).
% 70.28/18.03 fof(f20034,plain,(
% 70.28/18.03 aElementOf0(sK3_skl(slcrc0,xx,xS),xS)|~sQ358_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f3052,f104])).
% 70.28/18.03 fof(f20035,definition,(
% 70.28/18.03 ![X0]: (sQ1647_spl <=> (~X0=sdtmndt0(xS,xx)|aElementOf0(sK3_skl(slcrc0,xx,xS),X0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1647_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f20038,plain,(
% 70.28/18.03 ~sQ0_spl|~sQ1_spl|sQ1647_spl|~sQ358_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f20032,f111,f114,f20035,f3051])).
% 70.28/18.03 fof(f20065,plain,(
% 70.28/18.03 sP0_prd(xx,xx,xS)|~sQ286_spl|~sQ645_spl),
% 70.28/18.03 inference(forward_demodulation,[status(thm)],[f2271,f7435])).
% 70.28/18.03 fof(f20066,plain,(
% 70.28/18.03 $false|~sQ286_spl|~sQ645_spl),
% 70.28/18.03 inference(forward_subsumption_resolution,[status(thm)],[f20065,f109])).
% 70.28/18.03 fof(f20067,plain,(
% 70.28/18.03 ~sQ286_spl|~sQ645_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f20066])).
% 70.28/18.03 fof(f20078,plain,(
% 70.28/18.03 sP0_prd(xx,xx,xS)|~sQ613_spl|~sQ643_spl),
% 70.28/18.03 inference(forward_demodulation,[status(thm)],[f7212,f7427])).
% 70.28/18.03 fof(f20079,plain,(
% 70.28/18.03 $false|~sQ613_spl|~sQ643_spl),
% 70.28/18.03 inference(forward_subsumption_resolution,[status(thm)],[f20078,f109])).
% 70.28/18.03 fof(f20080,plain,(
% 70.28/18.03 ~sQ613_spl|~sQ643_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f20079])).
% 70.28/18.03 fof(f20090,plain,(
% 70.28/18.03 ![X0]: (sK0_skl(sdtmndt0(xS,xx))=xx|~X0=sdtmndt0(sdtmndt0(xS,xx),xx)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X0)|~sQ649_spl|~sQ1_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f7461,f115])).
% 70.28/18.03 fof(f20135,plain,(
% 70.28/18.03 sQ83_spl|sQ780_spl|~sQ649_spl|~sQ1_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f20090,f858,f9110,f7460,f114])).
% 70.28/18.03 fof(f20432,plain,(
% 70.28/18.03 $false|sQ315_spl),
% 70.28/18.03 inference(trivial_equality_resolution,[status(thm)],[f2613])).
% 70.28/18.03 fof(f20433,plain,(
% 70.28/18.03 sQ315_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f20432])).
% 70.28/18.03 fof(f20465,definition,(
% 70.28/18.03 sQ1667_spl <=> (sP0_prd(sK0_skl(xS),xx,slcrc0))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1667_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f20466,plain,(
% 70.28/18.03 sP0_prd(sK0_skl(xS),xx,slcrc0)|~sQ1667_spl),
% 70.28/18.03 inference(component_clause,[status(thm)],[f20465])).
% 70.28/18.03 fof(f20612,plain,(
% 70.28/18.03 ~slcrc0=slcrc0|~sQ299_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f2456,f36])).
% 70.28/18.03 fof(f20639,plain,(
% 70.28/18.03 $false|~sQ299_spl),
% 70.28/18.03 inference(trivial_equality_resolution,[status(thm)],[f20612])).
% 70.28/18.03 fof(f20640,plain,(
% 70.28/18.03 ~sQ299_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f20639])).
% 70.28/18.03 fof(f20651,plain,(
% 70.28/18.03 ![X0]: (xx=sK3_skl(slcrc0,xx,xS)|~X0=sdtmndt0(xS,sK3_skl(slcrc0,xx,xS))|aElementOf0(xx,X0)|~sQ358_spl|~sQ35_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f20033,f393])).
% 70.28/18.03 fof(f20688,definition,(
% 70.28/18.03 ![X0]: (sQ1670_spl <=> (~X0=sdtmndt0(xS,sK3_skl(slcrc0,xx,xS))|aElementOf0(xx,X0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1670_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f20691,plain,(
% 70.28/18.03 sQ517_spl|sQ1670_spl|~sQ358_spl|~sQ35_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f20651,f5516,f20688,f3051,f392])).
% 70.28/18.03 fof(f20833,plain,(
% 70.28/18.03 aElementOf0(sK0_skl(xS),slcrc0)|~sQ1667_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f20466,f104])).
% 70.28/18.03 fof(f20838,plain,(
% 70.28/18.03 sQ32_spl|~sQ1667_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f20833,f375,f20465])).
% 70.28/18.03 fof(f21121,plain,(
% 70.28/18.03 ![X0,X1]: (sK0_skl(sdtmndt0(xS,xx))=X0|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X1)|~sQ653_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f7567,f82])).
% 70.28/18.03 fof(f21123,plain,(
% 70.28/18.03 ![X0]: (sK0_skl(sdtmndt0(xS,xx))=X0|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ653_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f7567,f104])).
% 70.28/18.03 fof(f21125,definition,(
% 70.28/18.03 ![X0,X1]: (sQ1742_spl <=> (sK0_skl(sdtmndt0(xS,xx))=X0|~aElement0(X0)|~X1=sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),X0)|aElementOf0(sK0_skl(sdtmndt0(xS,xx)),X1)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1742_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f21128,plain,(
% 70.28/18.03 sQ1742_spl|~sQ41_spl|~sQ653_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f21121,f21125,f648,f7566])).
% 70.28/18.03 fof(f21130,plain,(
% 70.28/18.03 sQ650_spl|sQ82_spl|~sQ653_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f21123,f7464,f855,f7566])).
% 70.28/18.03 fof(f21160,plain,(
% 70.28/18.03 ![X0,X1]: (X0=X1|~sQ661_spl)),
% 70.28/18.03 inference(paramodulation,[status(thm)],[f7629,f7629])).
% 70.28/18.03 fof(f21203,plain,(
% 70.28/18.03 ![X0,X1,X2]: (~aSet0(X0)|aElementOf0(X1,X2)|~aElementOf0(X1,X0)|~sQ661_spl|~sQ1_spl)),
% 70.28/18.03 inference(backward_subsumption_resolution,[status(thm)],[f163,f21160])).
% 70.28/18.03 fof(f21276,plain,(
% 70.28/18.03 sQ374_spl|~sQ661_spl|~sQ1_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f21203,f3478,f7628,f114])).
% 70.28/18.03 fof(f22838,plain,(
% 70.28/18.03 aElementOf0(sK3_skl(slcrc0,xx,xS),sdtmndt0(xS,xx))|~aElement0(sK3_skl(slcrc0,xx,xS))|sK3_skl(slcrc0,xx,xS)=xx|~sQ358_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f20034,f94])).
% 70.28/18.03 fof(f22840,plain,(
% 70.28/18.03 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,xx)|aElementOf0(sK3_skl(slcrc0,xx,xS),X0)|~sQ358_spl|~sQ1_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f20034,f163])).
% 70.28/18.03 fof(f22849,plain,(
% 70.28/18.03 ![X0]: (sP0_prd(sK3_skl(slcrc0,xx,xS),X0,xS)|~aElement0(sK3_skl(slcrc0,xx,xS))|sK3_skl(slcrc0,xx,xS)=X0|~sQ358_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f20034,f106])).
% 70.28/18.03 fof(f22851,plain,(
% 70.28/18.03 ~aSet0(xS)|aElement0(sK3_skl(slcrc0,xx,xS))|~sQ358_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f20034,f28])).
% 70.28/18.03 fof(f22852,definition,(
% 70.28/18.03 sQ1810_spl <=> (aElementOf0(sK3_skl(slcrc0,xx,xS),sdtmndt0(xS,xx)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1810_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f22855,plain,(
% 70.28/18.03 sQ1810_spl|~sQ519_spl|sQ517_spl|~sQ358_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f22838,f22852,f5524,f5516,f3051])).
% 70.28/18.03 fof(f22856,definition,(
% 70.28/18.03 ![X0]: (sQ1811_spl <=> (~X0=sdtpldt0(xS,xx)|aElementOf0(sK3_skl(slcrc0,xx,xS),X0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1811_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f22859,plain,(
% 70.28/18.03 ~sQ0_spl|sQ1811_spl|~sQ358_spl|~sQ1_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f22840,f111,f22856,f3051,f114])).
% 70.28/18.03 fof(f22871,definition,(
% 70.28/18.03 ![X0]: (sQ1813_spl <=> (sP0_prd(sK3_skl(slcrc0,xx,xS),X0,xS)|sK3_skl(slcrc0,xx,xS)=X0))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1813_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f22874,plain,(
% 70.28/18.03 sQ1813_spl|~sQ519_spl|~sQ358_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f22849,f22871,f5524,f3051])).
% 70.28/18.03 fof(f22875,plain,(
% 70.28/18.03 ~sQ0_spl|sQ519_spl|~sQ358_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f22851,f111,f5524,f3051])).
% 70.28/18.03 fof(f23106,plain,(
% 70.28/18.03 sP0_prd(xx,xx,xS)|~sQ517_spl|~sQ358_spl),
% 70.28/18.03 inference(backward_demodulation,[status(thm)],[f5517,f3052])).
% 70.28/18.03 fof(f23109,plain,(
% 70.28/18.03 sQ331_spl|~sQ517_spl|~sQ358_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f23106,f2925,f5516,f3051])).
% 70.28/18.03 fof(f23360,plain,(
% 70.28/18.03 ~slcrc0=slcrc0|~sQ675_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f7683,f36])).
% 70.28/18.03 fof(f23397,plain,(
% 70.28/18.03 $false|~sQ675_spl),
% 70.28/18.03 inference(trivial_equality_resolution,[status(thm)],[f23360])).
% 70.28/18.03 fof(f23398,plain,(
% 70.28/18.03 ~sQ675_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f23397])).
% 70.28/18.03 fof(f23792,plain,(
% 70.28/18.03 ~slcrc0=slcrc0|~sQ689_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f7737,f36])).
% 70.28/18.03 fof(f23806,plain,(
% 70.28/18.03 $false|~sQ689_spl),
% 70.28/18.03 inference(trivial_equality_resolution,[status(thm)],[f23792])).
% 70.28/18.03 fof(f23807,plain,(
% 70.28/18.03 ~sQ689_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f23806])).
% 70.28/18.03 fof(f24071,plain,(
% 70.28/18.03 ~slcrc0=slcrc0|~sQ418_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f4253,f36])).
% 70.28/18.03 fof(f24095,plain,(
% 70.28/18.03 $false|~sQ418_spl),
% 70.28/18.03 inference(trivial_equality_resolution,[status(thm)],[f24071])).
% 70.28/18.03 fof(f24096,plain,(
% 70.28/18.03 ~sQ418_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f24095])).
% 70.28/18.03 fof(f24418,plain,(
% 70.28/18.03 aElementOf0(xx,sdtmndt0(xS,xx))|~sQ720_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f8319,f86])).
% 70.28/18.03 fof(f24419,plain,(
% 70.28/18.03 sQ26_spl|~sQ720_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f24418,f285,f8318])).
% 70.28/18.03 fof(f25261,plain,(
% 70.28/18.03 ~aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ286_spl|sQ288_spl),
% 70.28/18.03 inference(forward_demodulation,[status(thm)],[f2271,f2281])).
% 70.28/18.03 fof(f25262,plain,(
% 70.28/18.03 $false|~sQ23_spl|~sQ286_spl|sQ288_spl),
% 70.28/18.03 inference(forward_subsumption_resolution,[status(thm)],[f25261,f273])).
% 70.28/18.03 fof(f25263,plain,(
% 70.28/18.03 ~sQ23_spl|~sQ286_spl|sQ288_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f25262])).
% 70.28/18.03 fof(f25500,plain,(
% 70.28/18.03 ![X0]: (~aSet0(sdtpldt0(slcrc0,xx))|~aElementOf0(X0,sdtpldt0(slcrc0,xx))|aElementOf0(X0,sdtpldt0(slcrc0,xx))|~sQ1_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f1111,f50])).
% 70.28/18.03 fof(f25504,plain,(
% 70.28/18.03 ~sQ121_spl|sQ316_spl|~sQ1_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f25500,f1163,f2616,f114])).
% 70.28/18.03 fof(f25756,plain,(
% 70.28/18.03 aElementOf0(xx,sdtmndt0(xS,xx))|~sQ851_spl|~sQ23_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f10536,f273])).
% 70.28/18.03 fof(f25758,plain,(
% 70.28/18.03 sQ26_spl|~sQ851_spl|~sQ23_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f25756,f285,f10535,f272])).
% 70.28/18.03 fof(f25773,plain,(
% 70.28/18.03 aElementOf0(xx,slcrc0)|~sQ313_spl|~sQ298_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f2598,f2451])).
% 70.28/18.03 fof(f25774,plain,(
% 70.28/18.03 sQ6_spl|~sQ313_spl|~sQ298_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f25773,f153,f2597,f2450])).
% 70.28/18.03 fof(f25849,plain,(
% 70.28/18.03 ~sQ790_spl|~sQ5_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f9337])).
% 70.28/18.03 fof(f26637,plain,(
% 70.28/18.03 ~aSet0(xS)|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~sQ628_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f7334,f52])).
% 70.28/18.03 fof(f26658,plain,(
% 70.28/18.03 ~sQ0_spl|sQ58_spl|~sQ41_spl|~sQ628_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f26637,f111,f737,f648,f7333])).
% 70.28/18.03 fof(f26869,definition,(
% 70.28/18.03 sQ1977_spl <=> (aElementOf0(sK1_skl(xS,xS),slcrc0))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ1977_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f26870,plain,(
% 70.28/18.03 aElementOf0(sK1_skl(xS,xS),slcrc0)|~sQ1977_spl),
% 70.28/18.03 inference(component_clause,[status(thm)],[f26869])).
% 70.28/18.03 fof(f27093,plain,(
% 70.28/18.03 ~slcrc0=slcrc0|~sQ1977_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f26870,f36])).
% 70.28/18.03 fof(f27114,plain,(
% 70.28/18.03 $false|~sQ1977_spl),
% 70.28/18.03 inference(trivial_equality_resolution,[status(thm)],[f27093])).
% 70.28/18.03 fof(f27115,plain,(
% 70.28/18.03 ~sQ1977_spl),
% 70.28/18.03 inference(contradiction_clause,[status(thm)],[f27114])).
% 70.28/18.03 fof(f28195,plain,(
% 70.28/18.03 ![X0]: (~aSet0(xS)|~X0=sdtpldt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK3_skl(slcrc0,xx,xS),X0)|~sQ5_spl|~sQ358_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f1828,f20034])).
% 70.28/18.03 fof(f28199,plain,(
% 70.28/18.03 ![X0]: (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),X0)|~sQ5_spl|~sQ9_spl)),
% 70.28/18.03 inference(resolution,[status(thm)],[f1828,f176])).
% 70.28/18.03 fof(f28212,definition,(
% 70.28/18.03 ![X0]: (sQ2020_spl <=> (~X0=sdtpldt0(xS,sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK3_skl(slcrc0,xx,xS),X0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ2020_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f28215,plain,(
% 70.28/18.03 ~sQ0_spl|sQ2020_spl|~sQ5_spl|~sQ358_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f28195,f111,f28212,f140,f3051])).
% 70.28/18.03 fof(f28228,definition,(
% 70.28/18.03 ![X0]: (sQ2024_spl <=> (~X0=sdtpldt0(sdtpldt0(sdtmndt0(xS,xx),xx),sK0_skl(sdtmndt0(xS,xx)))|aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(xS,xx),xx)),X0)))),
% 70.28/18.03 introduced(definition,[new_symbols(definition,[sQ2024_spl])],[split_symbol_definition])).
% 70.28/18.03 fof(f28231,plain,(
% 70.28/18.03 ~sQ41_spl|sQ2024_spl|~sQ5_spl|~sQ9_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f28199,f648,f28228,f140,f175])).
% 70.28/18.03 fof(f28695,plain,(
% 70.28/18.03 aElementOf0(sK3_skl(slcrc0,xx,xS),slcrc0)|~sQ515_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f5510,f104])).
% 70.28/18.03 fof(f28700,plain,(
% 70.28/18.03 sQ357_spl|~sQ515_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f28695,f3048,f5509])).
% 70.28/18.03 fof(f29628,plain,(
% 70.28/18.03 aElementOf0(sK2_skl(xS,xx,slcrc0),slcrc0)|~sQ583_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f6274,f104])).
% 70.28/18.03 fof(f29633,plain,(
% 70.28/18.03 sQ421_spl|~sQ583_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f29628,f4262,f6273])).
% 70.28/18.03 fof(f29788,plain,(
% 70.28/18.03 aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(xS,xx),xx),xS),xS)|~sQ623_spl),
% 70.28/18.03 inference(resolution,[status(thm)],[f7310,f92])).
% 70.28/18.03 fof(f29819,plain,(
% 70.28/18.03 sQ628_spl|~sQ623_spl),
% 70.28/18.03 inference(split_clause,[status(thm)],[f29788,f7333,f7309])).
% 70.28/18.03 fof(f29847,plain,(
% 70.28/18.03 $false),
% 70.28/18.03 inference(sat_refutation,[status(thm)],[f117,f119,f136,f143,f161,f178,f204,f206,f220,f222,f228,f246,f253,f261,f264,f270,f275,f288,f298,f341,f355,f359,f379,f390,f395,f413,f458,f462,f464,f546,f623,f654,f661,f669,f672,f674,f724,f743,f750,f757,f780,f794,f801,f810,f822,f832,f836,f841,f935,f944,f954,f958,f963,f998,f999,f1004,f1039,f1138,f1220,f1285,f1286,f1299,f1351,f1355,f1359,f1367,f1375,f1379,f1402,f1428,f1511,f1543,f1557,f1561,f1569,f1615,f1705,f1720,f1721,f1726,f1832,f1835,f1857,f1861,f1865,f1867,f1889,f1896,f1963,f2001,f2027,f2201,f2202,f2203,f2205,f2273,f2290,f2294,f2295,f2337,f2488,f2492,f2493,f2582,f2600,f2917,f3376,f3484,f3491,f3496,f3501,f3517,f3724,f3811,f3849,f4037,f4324,f4387,f4493,f4532,f4641,f5030,f5234,f5236,f5544,f5826,f6226,f6270,f6303,f7050,f7068,f7214,f7230,f7231,f7239,f7286,f7315,f7362,f7379,f7414,f7452,f7453,f7455,f7463,f7486,f7498,f7569,f7575,f7619,f7627,f7794,f7795,f7797,f7839,f8321,f8364,f8508,f8839,f9236,f9324,f9574,f9579,f9605,f9697,f9825,f9827,f10538,f10886,f10899,f11070,f11082,f11086,f11090,f11094,f11098,f11102,f11269,f11320,f11431,f11453,f11475,f11484,f11485,f11486,f11663,f11740,f11753,f11906,f12374,f12670,f12858,f12888,f12889,f13033,f13318,f13345,f13350,f13355,f13385,f13593,f13598,f13599,f13600,f13606,f13614,f13616,f13678,f13716,f13866,f13867,f13871,f13911,f13913,f13941,f14198,f14202,f14206,f14210,f14579,f14583,f14584,f14623,f14627,f14663,f15084,f15085,f15086,f15097,f15151,f15152,f15153,f15164,f15218,f15219,f15220,f15231,f15501,f15505,f15506,f15544,f15548,f15584,f15724,f15725,f15726,f15737,f16092,f16220,f16225,f16235,f16450,f16513,f17049,f18071,f18074,f18131,f18473,f19020,f19021,f19027,f19028,f19029,f19030,f19105,f19148,f19245,f19274,f19372,f19657,f19726,f19761,f20038,f20067,f20080,f20135,f20433,f20640,f20691,f20838,f21128,f21130,f21276,f22855,f22859,f22874,f22875,f23109,f23398,f23807,f24096,f24419,f25263,f25504,f25758,f25774,f25849,f26658,f27115,f28215,f28231,f28700,f29633,f29819])).
% 70.28/18.04 % SZS output end CNFRefutation for theBenchmark.p
% 70.28/18.09 % Elapsed time: 17.719515 seconds
% 70.28/18.09 % CPU time: 139.558580 seconds
% 70.28/18.09 % Total memory used: 540.497 MB
% 70.28/18.09 % Net memory used: 490.305 MB
%------------------------------------------------------------------------------