TSTP Solution File: NUM566+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM566+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:35:10 EDT 2024
% Result : Theorem 9.68s 1.63s
% Output : CNFRefutation 9.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM566+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:39:02 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 9.68/1.63 % Refutation found
% 9.68/1.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.68/1.63 % SZS output start CNFRefutation for theBenchmark
% 9.68/1.63 fof(f5,definition,(
% 9.68/1.63 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f10,definition,(
% 9.68/1.63 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f12,axiom,(
% 9.68/1.63 (! [W0] :( aSet0(W0)=> aSubsetOf0(W0,W0) ) )),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f23,axiom,(
% 9.68/1.63 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f24,axiom,(
% 9.68/1.63 aElementOf0(sz00,szNzAzT0) ),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f57,definition,(
% 9.68/1.63 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f64,axiom,(
% 9.68/1.63 (! [W0] :( aFunction0(W0)=> aSet0(szDzozmdt0(W0)) ) )),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f68,definition,(
% 9.68/1.63 (! [W0] :( aFunction0(W0)=> (! [W1] :( aSubsetOf0(W1,szDzozmdt0(W0))=> (! [W2] :( W2 = sdtlcdtrc0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> (? [W4] :( aElementOf0(W4,W1)& sdtlpdtrp0(W0,W4) = W3 ) )) )) ) )) )) )),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f69,axiom,(
% 9.68/1.63 (! [W0] :( aFunction0(W0)=> (! [W1] :( aElementOf0(W1,szDzozmdt0(W0))=> aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) )) )),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f73,hypothesis,(
% 9.68/1.63 ( aSet0(xT)& isFinite0(xT) ) ),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f75,hypothesis,(
% 9.68/1.63 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f76,hypothesis,(
% 9.68/1.63 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f78,hypothesis,(
% 9.68/1.63 xK = sz00 ),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f79,hypothesis,(
% 9.68/1.63 aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f80,hypothesis,(
% 9.68/1.63 (! [W0] :( aElementOf0(W0,slbdtsldtrb0(xS,sz00))=> sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) )),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f81,conjecture,(
% 9.68/1.63 (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( aSubsetOf0(W1,xS)& isCountable0(W1)& (! [W2] :( aElementOf0(W2,slbdtsldtrb0(W1,xK))=> sdtlpdtrp0(xc,W2) = W0 ) )) )) )),
% 9.68/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.68/1.63 fof(f82,negated_conjecture,(
% 9.68/1.63 ~((? [W0] :( aElementOf0(W0,xT)& (? [W1] :( aSubsetOf0(W1,xS)& isCountable0(W1)& (! [W2] :( aElementOf0(W2,slbdtsldtrb0(W1,xK))=> sdtlpdtrp0(xc,W2) = W0 ) )) )) ))),
% 9.68/1.63 inference(negated_conjecture,[status(cth)],[f81])).
% 9.68/1.63 fof(f93,plain,(
% 9.68/1.63 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 9.68/1.63 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 9.68/1.63 fof(f94,plain,(
% 9.68/1.63 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 9.68/1.63 inference(NNF_transformation,[status(esa)],[f93])).
% 9.68/1.63 fof(f95,plain,(
% 9.68/1.63 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 9.68/1.63 inference(miniscoping,[status(esa)],[f94])).
% 9.68/1.63 fof(f96,plain,(
% 9.68/1.63 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 9.68/1.63 inference(skolemization,[status(esa)],[f95])).
% 9.68/1.63 fof(f97,plain,(
% 9.68/1.63 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f96])).
% 9.68/1.63 fof(f98,plain,(
% 9.68/1.63 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f96])).
% 9.68/1.63 fof(f107,plain,(
% 9.68/1.63 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 9.68/1.63 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 9.68/1.63 fof(f108,plain,(
% 9.68/1.63 ![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))))))))),
% 9.68/1.63 inference(NNF_transformation,[status(esa)],[f107])).
% 9.68/1.63 fof(f109,plain,(
% 9.68/1.63 ![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))))))))),
% 9.68/1.63 inference(miniscoping,[status(esa)],[f108])).
% 9.68/1.63 fof(f110,plain,(
% 9.68/1.63 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_1(W1,W0),W1)&~aElementOf0(sk0_1(W1,W0),W0)))))))),
% 9.68/1.63 inference(skolemization,[status(esa)],[f109])).
% 9.68/1.63 fof(f111,plain,(
% 9.68/1.63 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f110])).
% 9.68/1.63 fof(f112,plain,(
% 9.68/1.63 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f110])).
% 9.68/1.63 fof(f117,plain,(
% 9.68/1.63 ![W0]: (~aSet0(W0)|aSubsetOf0(W0,W0))),
% 9.68/1.63 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 9.68/1.63 fof(f118,plain,(
% 9.68/1.63 ![X0]: (~aSet0(X0)|aSubsetOf0(X0,X0))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f117])).
% 9.68/1.63 fof(f159,plain,(
% 9.68/1.63 aSet0(szNzAzT0)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f23])).
% 9.68/1.63 fof(f161,plain,(
% 9.68/1.63 aElementOf0(sz00,szNzAzT0)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f24])).
% 9.68/1.63 fof(f264,plain,(
% 9.68/1.63 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 9.68/1.63 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 9.68/1.63 fof(f265,plain,(
% 9.68/1.63 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: ((~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))))))&(W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 9.68/1.63 inference(NNF_transformation,[status(esa)],[f264])).
% 9.68/1.63 fof(f266,plain,(
% 9.68/1.63 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 9.68/1.63 inference(miniscoping,[status(esa)],[f265])).
% 9.68/1.63 fof(f267,plain,(
% 9.68/1.63 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_10(W2,W1,W0),W2)|(~aSubsetOf0(sk0_10(W2,W1,W0),W0)|~sbrdtbr0(sk0_10(W2,W1,W0))=W1))&(aElementOf0(sk0_10(W2,W1,W0),W2)|(aSubsetOf0(sk0_10(W2,W1,W0),W0)&sbrdtbr0(sk0_10(W2,W1,W0))=W1))))))))),
% 9.68/1.63 inference(skolemization,[status(esa)],[f266])).
% 9.68/1.63 fof(f268,plain,(
% 9.68/1.63 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aSet0(X2))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f267])).
% 9.68/1.63 fof(f291,plain,(
% 9.68/1.63 ![W0]: (~aFunction0(W0)|aSet0(szDzozmdt0(W0)))),
% 9.68/1.63 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 9.68/1.63 fof(f292,plain,(
% 9.68/1.63 ![X0]: (~aFunction0(X0)|aSet0(szDzozmdt0(X0)))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f291])).
% 9.68/1.63 fof(f308,plain,(
% 9.68/1.63 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|(![W2]: (W2=sdtlcdtrc0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))),
% 9.68/1.63 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 9.68/1.63 fof(f309,plain,(
% 9.68/1.63 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|(![W2]: ((~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))))))&(W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))))),
% 9.68/1.63 inference(NNF_transformation,[status(esa)],[f308])).
% 9.68/1.63 fof(f310,plain,(
% 9.68/1.63 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|((![W2]: (~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))&(![W3]: (aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3))))))))&(![W2]: (W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3)))&(aElementOf0(W3,W2)|(?[W4]: (aElementOf0(W4,W1)&sdtlpdtrp0(W0,W4)=W3))))))))))))),
% 9.68/1.63 inference(miniscoping,[status(esa)],[f309])).
% 9.68/1.63 fof(f311,plain,(
% 9.68/1.63 ![W0]: (~aFunction0(W0)|(![W1]: (~aSubsetOf0(W1,szDzozmdt0(W0))|((![W2]: (~W2=sdtlcdtrc0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aElementOf0(sk0_13(W3,W2,W1,W0),W1)&sdtlpdtrp0(W0,sk0_13(W3,W2,W1,W0))=W3)))&(![W3]: (aElementOf0(W3,W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=W3))))))))&(![W2]: (W2=sdtlcdtrc0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_14(W2,W1,W0),W2)|(![W4]: (~aElementOf0(W4,W1)|~sdtlpdtrp0(W0,W4)=sk0_14(W2,W1,W0))))&(aElementOf0(sk0_14(W2,W1,W0),W2)|(aElementOf0(sk0_15(W2,W1,W0),W1)&sdtlpdtrp0(W0,sk0_15(W2,W1,W0))=sk0_14(W2,W1,W0)))))))))))),
% 9.68/1.63 inference(skolemization,[status(esa)],[f310])).
% 9.68/1.63 fof(f315,plain,(
% 9.68/1.63 ![X0,X1,X2,X3,X4]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|~X2=sdtlcdtrc0(X0,X1)|aElementOf0(X3,X2)|~aElementOf0(X4,X1)|~sdtlpdtrp0(X0,X4)=X3)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f311])).
% 9.68/1.63 fof(f319,plain,(
% 9.68/1.63 ![W0]: (~aFunction0(W0)|(![W1]: (~aElementOf0(W1,szDzozmdt0(W0))|aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))))))),
% 9.68/1.63 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 9.68/1.63 fof(f320,plain,(
% 9.68/1.63 ![X0,X1]: (~aFunction0(X0)|~aElementOf0(X1,szDzozmdt0(X0))|aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f319])).
% 9.68/1.63 fof(f339,plain,(
% 9.68/1.63 aSet0(xT)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f73])).
% 9.68/1.63 fof(f342,plain,(
% 9.68/1.63 aSubsetOf0(xS,szNzAzT0)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f75])).
% 9.68/1.63 fof(f343,plain,(
% 9.68/1.63 isCountable0(xS)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f75])).
% 9.68/1.63 fof(f344,plain,(
% 9.68/1.63 aFunction0(xc)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f76])).
% 9.68/1.63 fof(f345,plain,(
% 9.68/1.63 szDzozmdt0(xc)=slbdtsldtrb0(xS,xK)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f76])).
% 9.68/1.63 fof(f346,plain,(
% 9.68/1.63 aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f76])).
% 9.68/1.63 fof(f353,plain,(
% 9.68/1.63 xK=sz00),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f78])).
% 9.68/1.63 fof(f354,plain,(
% 9.68/1.63 aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f79])).
% 9.68/1.63 fof(f355,plain,(
% 9.68/1.63 ![W0]: (~aElementOf0(W0,slbdtsldtrb0(xS,sz00))|sdtlpdtrp0(xc,W0)=sdtlpdtrp0(xc,slcrc0))),
% 9.68/1.63 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 9.68/1.63 fof(f356,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,slbdtsldtrb0(xS,sz00))|sdtlpdtrp0(xc,X0)=sdtlpdtrp0(xc,slcrc0))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f355])).
% 9.68/1.63 fof(f357,plain,(
% 9.68/1.63 (![W0]: (~aElementOf0(W0,xT)|(![W1]: ((~aSubsetOf0(W1,xS)|~isCountable0(W1))|(?[W2]: (aElementOf0(W2,slbdtsldtrb0(W1,xK))&~sdtlpdtrp0(xc,W2)=W0))))))),
% 9.68/1.63 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 9.68/1.63 fof(f358,plain,(
% 9.68/1.63 ![W0]: (~aElementOf0(W0,xT)|(![W1]: ((~aSubsetOf0(W1,xS)|~isCountable0(W1))|(aElementOf0(sk0_21(W1,W0),slbdtsldtrb0(W1,xK))&~sdtlpdtrp0(xc,sk0_21(W1,W0))=W0))))),
% 9.68/1.63 inference(skolemization,[status(esa)],[f357])).
% 9.68/1.63 fof(f359,plain,(
% 9.68/1.63 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xS)|~isCountable0(X1)|aElementOf0(sk0_21(X1,X0),slbdtsldtrb0(X1,xK)))),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f358])).
% 9.68/1.63 fof(f360,plain,(
% 9.68/1.63 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xS)|~isCountable0(X1)|~sdtlpdtrp0(xc,sk0_21(X1,X0))=X0)),
% 9.68/1.63 inference(cnf_transformation,[status(esa)],[f358])).
% 9.68/1.63 fof(f367,plain,(
% 9.68/1.63 aSet0(slcrc0)),
% 9.68/1.63 inference(destructive_equality_resolution,[status(esa)],[f97])).
% 9.68/1.63 fof(f368,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,slcrc0))),
% 9.68/1.63 inference(destructive_equality_resolution,[status(esa)],[f98])).
% 9.68/1.63 fof(f399,plain,(
% 9.68/1.63 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|aSet0(slbdtsldtrb0(X0,X1)))),
% 9.68/1.63 inference(destructive_equality_resolution,[status(esa)],[f268])).
% 9.68/1.63 fof(f411,plain,(
% 9.68/1.63 ![X0,X1,X2]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|aElementOf0(sdtlpdtrp0(X0,X2),sdtlcdtrc0(X0,X1))|~aElementOf0(X2,X1))),
% 9.68/1.63 inference(destructive_equality_resolution,[status(esa)],[f315])).
% 9.68/1.63 fof(f417,plain,(
% 9.68/1.63 ![X0,X1]: (~aElementOf0(X0,xT)|~aSubsetOf0(X1,xS)|~isCountable0(X1)|aElementOf0(sk0_21(X1,X0),slbdtsldtrb0(X1,sz00)))),
% 9.68/1.63 inference(forward_demodulation,[status(thm)],[f353,f359])).
% 9.68/1.63 fof(f423,plain,(
% 9.68/1.63 szDzozmdt0(xc)=slbdtsldtrb0(xS,sz00)),
% 9.68/1.63 inference(backward_demodulation,[status(thm)],[f353,f345])).
% 9.68/1.63 fof(f425,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|sdtlpdtrp0(xc,X0)=sdtlpdtrp0(xc,slcrc0))),
% 9.68/1.63 inference(backward_demodulation,[status(thm)],[f423,f356])).
% 9.68/1.63 fof(f426,plain,(
% 9.68/1.63 aElementOf0(slcrc0,szDzozmdt0(xc))),
% 9.68/1.63 inference(backward_demodulation,[status(thm)],[f423,f354])).
% 9.68/1.63 fof(f427,plain,(
% 9.68/1.63 spl0_0 <=> ~aElementOf0(X0,xT)|~sdtlpdtrp0(xc,sk0_21(xS,X0))=X0),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f428,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,xT)|~sdtlpdtrp0(xc,sk0_21(xS,X0))=X0|~spl0_0)),
% 9.68/1.63 inference(component_clause,[status(thm)],[f427])).
% 9.68/1.63 fof(f430,plain,(
% 9.68/1.63 spl0_1 <=> aSubsetOf0(xS,xS)),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f432,plain,(
% 9.68/1.63 ~aSubsetOf0(xS,xS)|spl0_1),
% 9.68/1.63 inference(component_clause,[status(thm)],[f430])).
% 9.68/1.63 fof(f433,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,xT)|~aSubsetOf0(xS,xS)|~sdtlpdtrp0(xc,sk0_21(xS,X0))=X0)),
% 9.68/1.63 inference(resolution,[status(thm)],[f343,f360])).
% 9.68/1.63 fof(f434,plain,(
% 9.68/1.63 spl0_0|~spl0_1),
% 9.68/1.63 inference(split_clause,[status(thm)],[f433,f427,f430])).
% 9.68/1.63 fof(f444,plain,(
% 9.68/1.63 spl0_4 <=> aSet0(xT)),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f446,plain,(
% 9.68/1.63 ~aSet0(xT)|spl0_4),
% 9.68/1.63 inference(component_clause,[status(thm)],[f444])).
% 9.68/1.63 fof(f452,plain,(
% 9.68/1.63 $false|spl0_4),
% 9.68/1.63 inference(forward_subsumption_resolution,[status(thm)],[f446,f339])).
% 9.68/1.63 fof(f453,plain,(
% 9.68/1.63 spl0_4),
% 9.68/1.63 inference(contradiction_clause,[status(thm)],[f452])).
% 9.68/1.63 fof(f478,plain,(
% 9.68/1.63 spl0_10 <=> ~aElementOf0(X0,xT)|aElementOf0(sk0_21(xS,X0),szDzozmdt0(xc))),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f479,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,xT)|aElementOf0(sk0_21(xS,X0),szDzozmdt0(xc))|~spl0_10)),
% 9.68/1.63 inference(component_clause,[status(thm)],[f478])).
% 9.68/1.63 fof(f481,plain,(
% 9.68/1.63 spl0_11 <=> isCountable0(xS)),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f483,plain,(
% 9.68/1.63 ~isCountable0(xS)|spl0_11),
% 9.68/1.63 inference(component_clause,[status(thm)],[f481])).
% 9.68/1.63 fof(f484,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,xT)|~aSubsetOf0(xS,xS)|~isCountable0(xS)|aElementOf0(sk0_21(xS,X0),szDzozmdt0(xc)))),
% 9.68/1.63 inference(paramodulation,[status(thm)],[f423,f417])).
% 9.68/1.63 fof(f485,plain,(
% 9.68/1.63 spl0_10|~spl0_1|~spl0_11),
% 9.68/1.63 inference(split_clause,[status(thm)],[f484,f478,f430,f481])).
% 9.68/1.63 fof(f634,plain,(
% 9.68/1.63 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|aSet0(X0))),
% 9.68/1.63 inference(resolution,[status(thm)],[f159,f111])).
% 9.68/1.63 fof(f640,plain,(
% 9.68/1.63 aSet0(xS)),
% 9.68/1.63 inference(resolution,[status(thm)],[f634,f342])).
% 9.68/1.63 fof(f647,plain,(
% 9.68/1.63 aSubsetOf0(xS,xS)),
% 9.68/1.63 inference(resolution,[status(thm)],[f640,f118])).
% 9.68/1.63 fof(f648,plain,(
% 9.68/1.63 $false|spl0_1),
% 9.68/1.63 inference(forward_subsumption_resolution,[status(thm)],[f647,f432])).
% 9.68/1.63 fof(f649,plain,(
% 9.68/1.63 spl0_1),
% 9.68/1.63 inference(contradiction_clause,[status(thm)],[f648])).
% 9.68/1.63 fof(f651,plain,(
% 9.68/1.63 $false|spl0_11),
% 9.68/1.63 inference(forward_subsumption_resolution,[status(thm)],[f483,f343])).
% 9.68/1.63 fof(f652,plain,(
% 9.68/1.63 spl0_11),
% 9.68/1.63 inference(contradiction_clause,[status(thm)],[f651])).
% 9.68/1.63 fof(f680,plain,(
% 9.68/1.63 spl0_40 <=> ~sdtlpdtrp0(xc,sk0_21(xS,X0))=X0|~aSubsetOf0(X1,xT)|~aElementOf0(X0,X1)),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f681,plain,(
% 9.68/1.63 ![X0,X1]: (~sdtlpdtrp0(xc,sk0_21(xS,X0))=X0|~aSubsetOf0(X1,xT)|~aElementOf0(X0,X1)|~spl0_40)),
% 9.68/1.63 inference(component_clause,[status(thm)],[f680])).
% 9.68/1.63 fof(f683,plain,(
% 9.68/1.63 ![X0,X1]: (~sdtlpdtrp0(xc,sk0_21(xS,X0))=X0|~aSet0(xT)|~aSubsetOf0(X1,xT)|~aElementOf0(X0,X1)|~spl0_0)),
% 9.68/1.63 inference(resolution,[status(thm)],[f428,f112])).
% 9.68/1.63 fof(f684,plain,(
% 9.68/1.63 spl0_40|~spl0_4|~spl0_0),
% 9.68/1.63 inference(split_clause,[status(thm)],[f683,f680,f444,f427])).
% 9.68/1.63 fof(f685,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,xT)|sdtlpdtrp0(xc,sk0_21(xS,X0))=sdtlpdtrp0(xc,slcrc0)|~spl0_10)),
% 9.68/1.63 inference(resolution,[status(thm)],[f479,f425])).
% 9.68/1.63 fof(f687,plain,(
% 9.68/1.63 ![X0]: (~sdtlpdtrp0(xc,sk0_21(xS,X0))=X0|~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|~spl0_40)),
% 9.68/1.63 inference(resolution,[status(thm)],[f681,f346])).
% 9.68/1.63 fof(f689,plain,(
% 9.68/1.63 spl0_41 <=> sdtlpdtrp0(xc,sk0_21(xS,X0))=sdtlpdtrp0(xc,slcrc0)|~aSubsetOf0(X1,xT)|~aElementOf0(X0,X1)),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f690,plain,(
% 9.68/1.63 ![X0,X1]: (sdtlpdtrp0(xc,sk0_21(xS,X0))=sdtlpdtrp0(xc,slcrc0)|~aSubsetOf0(X1,xT)|~aElementOf0(X0,X1)|~spl0_41)),
% 9.68/1.63 inference(component_clause,[status(thm)],[f689])).
% 9.68/1.63 fof(f692,plain,(
% 9.68/1.63 ![X0,X1]: (sdtlpdtrp0(xc,sk0_21(xS,X0))=sdtlpdtrp0(xc,slcrc0)|~aSet0(xT)|~aSubsetOf0(X1,xT)|~aElementOf0(X0,X1)|~spl0_10)),
% 9.68/1.63 inference(resolution,[status(thm)],[f685,f112])).
% 9.68/1.63 fof(f693,plain,(
% 9.68/1.63 spl0_41|~spl0_4|~spl0_10),
% 9.68/1.63 inference(split_clause,[status(thm)],[f692,f689,f444,f478])).
% 9.68/1.63 fof(f699,plain,(
% 9.68/1.63 ![X0]: (sdtlpdtrp0(xc,sk0_21(xS,X0))=sdtlpdtrp0(xc,slcrc0)|~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|~spl0_41)),
% 9.68/1.63 inference(resolution,[status(thm)],[f690,f346])).
% 9.68/1.63 fof(f732,plain,(
% 9.68/1.63 spl0_50 <=> sdtlcdtrc0(xc,szDzozmdt0(xc))=slcrc0),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f733,plain,(
% 9.68/1.63 sdtlcdtrc0(xc,szDzozmdt0(xc))=slcrc0|~spl0_50),
% 9.68/1.63 inference(component_clause,[status(thm)],[f732])).
% 9.68/1.63 fof(f943,plain,(
% 9.68/1.63 ![X0]: (~aSet0(X0)|aSet0(slbdtsldtrb0(X0,sz00)))),
% 9.68/1.63 inference(resolution,[status(thm)],[f161,f399])).
% 9.68/1.63 fof(f950,plain,(
% 9.68/1.63 aSet0(szDzozmdt0(xc))),
% 9.68/1.63 inference(resolution,[status(thm)],[f292,f344])).
% 9.68/1.63 fof(f967,plain,(
% 9.68/1.63 aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))),
% 9.68/1.63 inference(resolution,[status(thm)],[f950,f118])).
% 9.68/1.63 fof(f1119,plain,(
% 9.68/1.63 spl0_82 <=> aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f1121,plain,(
% 9.68/1.63 ~aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))|spl0_82),
% 9.68/1.63 inference(component_clause,[status(thm)],[f1119])).
% 9.68/1.63 fof(f1171,plain,(
% 9.68/1.63 $false|spl0_82),
% 9.68/1.63 inference(forward_subsumption_resolution,[status(thm)],[f1121,f967])).
% 9.68/1.63 fof(f1172,plain,(
% 9.68/1.63 spl0_82),
% 9.68/1.63 inference(contradiction_clause,[status(thm)],[f1171])).
% 9.68/1.63 fof(f1405,plain,(
% 9.68/1.63 spl0_113 <=> aSet0(slbdtsldtrb0(slcrc0,sz00))),
% 9.68/1.63 introduced(split_symbol_definition)).
% 9.68/1.63 fof(f1407,plain,(
% 9.68/1.63 ~aSet0(slbdtsldtrb0(slcrc0,sz00))|spl0_113),
% 9.68/1.63 inference(component_clause,[status(thm)],[f1405])).
% 9.68/1.63 fof(f2728,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|aElementOf0(sdtlpdtrp0(xc,X0),sdtlcdtrc0(xc,szDzozmdt0(xc))))),
% 9.68/1.63 inference(resolution,[status(thm)],[f320,f344])).
% 9.68/1.63 fof(f2729,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|aElementOf0(sdtlpdtrp0(xc,X0),slcrc0)|~spl0_50)),
% 9.68/1.63 inference(forward_demodulation,[status(thm)],[f733,f2728])).
% 9.68/1.63 fof(f2730,plain,(
% 9.68/1.63 ![X0]: (~aElementOf0(X0,szDzozmdt0(xc))|~spl0_50)),
% 9.68/1.63 inference(forward_subsumption_resolution,[status(thm)],[f2729,f368])).
% 9.68/1.63 fof(f2736,plain,(
% 9.68/1.63 $false|~spl0_50),
% 9.68/1.63 inference(backward_subsumption_resolution,[status(thm)],[f426,f2730])).
% 9.68/1.63 fof(f2737,plain,(
% 9.68/1.63 ~spl0_50),
% 9.68/1.63 inference(contradiction_clause,[status(thm)],[f2736])).
% 9.68/1.63 fof(f2738,plain,(
% 9.68/1.63 aSet0(slbdtsldtrb0(slcrc0,sz00))),
% 9.68/1.63 inference(resolution,[status(thm)],[f367,f943])).
% 9.68/1.63 fof(f2739,plain,(
% 9.68/1.63 $false|spl0_113),
% 9.68/1.63 inference(forward_subsumption_resolution,[status(thm)],[f1407,f2738])).
% 9.68/1.63 fof(f2740,plain,(
% 9.68/1.63 spl0_113),
% 9.68/1.63 inference(contradiction_clause,[status(thm)],[f2739])).
% 9.68/1.63 fof(f3000,plain,(
% 9.68/1.63 ![X0,X1]: (~aSubsetOf0(X0,szDzozmdt0(xc))|aElementOf0(sdtlpdtrp0(xc,X1),sdtlcdtrc0(xc,X0))|~aElementOf0(X1,X0))),
% 9.68/1.64 inference(resolution,[status(thm)],[f411,f344])).
% 9.68/1.64 fof(f3294,plain,(
% 9.68/1.64 spl0_271 <=> ~sdtlpdtrp0(xc,sk0_21(xS,sdtlpdtrp0(xc,X0)))=sdtlpdtrp0(xc,X0)|~aElementOf0(X0,szDzozmdt0(xc))),
% 9.68/1.64 introduced(split_symbol_definition)).
% 9.68/1.64 fof(f3295,plain,(
% 9.68/1.64 ![X0]: (~sdtlpdtrp0(xc,sk0_21(xS,sdtlpdtrp0(xc,X0)))=sdtlpdtrp0(xc,X0)|~aElementOf0(X0,szDzozmdt0(xc))|~spl0_271)),
% 9.68/1.64 inference(component_clause,[status(thm)],[f3294])).
% 9.68/1.64 fof(f3297,plain,(
% 9.68/1.64 ![X0]: (~sdtlpdtrp0(xc,sk0_21(xS,sdtlpdtrp0(xc,X0)))=sdtlpdtrp0(xc,X0)|~aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))|~aElementOf0(X0,szDzozmdt0(xc))|~spl0_40)),
% 9.68/1.64 inference(resolution,[status(thm)],[f687,f3000])).
% 9.68/1.64 fof(f3298,plain,(
% 9.68/1.64 spl0_271|~spl0_82|~spl0_40),
% 9.68/1.64 inference(split_clause,[status(thm)],[f3297,f3294,f1119,f680])).
% 9.68/1.64 fof(f3300,plain,(
% 9.68/1.64 ~sdtlpdtrp0(xc,sk0_21(xS,sdtlpdtrp0(xc,slcrc0)))=sdtlpdtrp0(xc,slcrc0)|~spl0_271),
% 9.68/1.64 inference(resolution,[status(thm)],[f3295,f426])).
% 9.68/1.64 fof(f3307,plain,(
% 9.68/1.64 spl0_272 <=> sdtlpdtrp0(xc,sk0_21(xS,sdtlpdtrp0(xc,X0)))=sdtlpdtrp0(xc,slcrc0)|~aElementOf0(X0,szDzozmdt0(xc))),
% 9.68/1.64 introduced(split_symbol_definition)).
% 9.68/1.64 fof(f3308,plain,(
% 9.68/1.64 ![X0]: (sdtlpdtrp0(xc,sk0_21(xS,sdtlpdtrp0(xc,X0)))=sdtlpdtrp0(xc,slcrc0)|~aElementOf0(X0,szDzozmdt0(xc))|~spl0_272)),
% 9.68/1.64 inference(component_clause,[status(thm)],[f3307])).
% 9.68/1.64 fof(f3310,plain,(
% 9.68/1.64 ![X0]: (sdtlpdtrp0(xc,sk0_21(xS,sdtlpdtrp0(xc,X0)))=sdtlpdtrp0(xc,slcrc0)|~aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc))|~aElementOf0(X0,szDzozmdt0(xc))|~spl0_41)),
% 9.68/1.64 inference(resolution,[status(thm)],[f699,f3000])).
% 9.68/1.64 fof(f3311,plain,(
% 9.68/1.64 spl0_272|~spl0_82|~spl0_41),
% 9.68/1.64 inference(split_clause,[status(thm)],[f3310,f3307,f1119,f689])).
% 9.68/1.64 fof(f3312,plain,(
% 9.68/1.64 sdtlpdtrp0(xc,sk0_21(xS,sdtlpdtrp0(xc,slcrc0)))=sdtlpdtrp0(xc,slcrc0)|~spl0_272),
% 9.68/1.64 inference(resolution,[status(thm)],[f3308,f426])).
% 9.68/1.64 fof(f3313,plain,(
% 9.68/1.64 $false|~spl0_271|~spl0_272),
% 9.68/1.64 inference(forward_subsumption_resolution,[status(thm)],[f3312,f3300])).
% 9.68/1.64 fof(f3314,plain,(
% 9.68/1.64 ~spl0_271|~spl0_272),
% 9.68/1.64 inference(contradiction_clause,[status(thm)],[f3313])).
% 9.68/1.64 fof(f3315,plain,(
% 9.68/1.64 $false),
% 9.68/1.64 inference(sat_refutation,[status(thm)],[f434,f453,f485,f649,f652,f684,f693,f1172,f2737,f2740,f3298,f3311,f3314])).
% 9.68/1.64 % SZS output end CNFRefutation for theBenchmark.p
% 9.68/1.65 % Elapsed time: 1.297339 seconds
% 9.68/1.65 % CPU time: 10.164916 seconds
% 9.68/1.65 % Total memory used: 146.594 MB
% 9.68/1.65 % Net memory used: 142.985 MB
%------------------------------------------------------------------------------