TSTP Solution File: NUM600+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM600+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:35:17 EDT 2024
% Result : Theorem 17.74s 2.64s
% Output : CNFRefutation 18.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM600+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n006.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 20:47:35 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.15/0.33 % Drodi V3.6.0
% 17.74/2.64 % Refutation found
% 17.74/2.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 17.74/2.64 % SZS output start CNFRefutation for theBenchmark
% 17.74/2.64 fof(f3,axiom,(
% 17.74/2.64 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f10,definition,(
% 17.74/2.64 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f23,axiom,(
% 17.74/2.64 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f67,axiom,(
% 17.74/2.64 (! [W0,W1] :( ( aFunction0(W0)& aElement0(W1) )=> aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) )),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f68,definition,(
% 17.74/2.64 (! [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 ) )) )) ) )) )) )),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f73,hypothesis,(
% 17.74/2.64 ( aSet0(xT)& isFinite0(xT) ) ),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f91,hypothesis,(
% 17.74/2.64 ( aFunction0(xe)& szDzozmdt0(xe) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) )) ),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f92,hypothesis,(
% 17.74/2.64 ( aFunction0(xd)& szDzozmdt0(xd) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( ( aSet0(W1)& aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) )) )) ),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f94,hypothesis,(
% 17.74/2.64 ( aElementOf0(szDzizrdt0(xd),xT)& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f95,hypothesis,(
% 17.74/2.64 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f97,conjecture,(
% 17.74/2.64 (! [W0] :( aElementOf0(W0,xO)=> (? [W1] :( aElementOf0(W1,szNzAzT0)& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W1) = W0 ) )) )),
% 17.74/2.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.74/2.64 fof(f98,negated_conjecture,(
% 17.74/2.64 ~((! [W0] :( aElementOf0(W0,xO)=> (? [W1] :( aElementOf0(W1,szNzAzT0)& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W1) = W0 ) )) ))),
% 17.74/2.64 inference(negated_conjecture,[status(cth)],[f97])).
% 17.74/2.64 fof(f105,plain,(
% 17.74/2.64 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 17.74/2.64 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 17.74/2.64 fof(f106,plain,(
% 17.74/2.64 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 17.74/2.64 inference(cnf_transformation,[status(esa)],[f105])).
% 17.74/2.64 fof(f123,plain,(
% 17.74/2.64 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 17.74/2.64 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 17.74/2.64 fof(f124,plain,(
% 17.74/2.64 ![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))))))))),
% 17.74/2.64 inference(NNF_transformation,[status(esa)],[f123])).
% 17.74/2.64 fof(f125,plain,(
% 17.74/2.64 ![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))))))))),
% 17.74/2.64 inference(miniscoping,[status(esa)],[f124])).
% 17.74/2.64 fof(f126,plain,(
% 17.74/2.64 ![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)))))))),
% 17.74/2.64 inference(skolemization,[status(esa)],[f125])).
% 17.74/2.64 fof(f128,plain,(
% 17.74/2.64 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 17.74/2.64 inference(cnf_transformation,[status(esa)],[f126])).
% 17.74/2.64 fof(f175,plain,(
% 17.74/2.64 aSet0(szNzAzT0)),
% 17.74/2.64 inference(cnf_transformation,[status(esa)],[f23])).
% 17.74/2.64 fof(f322,plain,(
% 17.74/2.64 ![W0,W1]: ((~aFunction0(W0)|~aElement0(W1))|aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)))),
% 17.74/2.64 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 17.74/2.64 fof(f323,plain,(
% 17.74/2.64 ![X0,X1]: (~aFunction0(X0)|~aElement0(X1)|aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)))),
% 17.74/2.64 inference(cnf_transformation,[status(esa)],[f322])).
% 17.74/2.64 fof(f324,plain,(
% 17.74/2.64 ![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))))))))))),
% 17.74/2.64 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 17.74/2.64 fof(f325,plain,(
% 17.74/2.64 ![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))))))))))))),
% 17.74/2.64 inference(NNF_transformation,[status(esa)],[f324])).
% 17.74/2.64 fof(f326,plain,(
% 17.74/2.64 ![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))))))))))))),
% 17.74/2.64 inference(miniscoping,[status(esa)],[f325])).
% 17.74/2.64 fof(f327,plain,(
% 17.74/2.64 ![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)))))))))))),
% 17.74/2.64 inference(skolemization,[status(esa)],[f326])).
% 17.74/2.64 fof(f329,plain,(
% 17.74/2.64 ![X0,X1,X2,X3]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|~X2=sdtlcdtrc0(X0,X1)|~aElementOf0(X3,X2)|aElementOf0(sk0_13(X3,X2,X1,X0),X1))),
% 17.74/2.64 inference(cnf_transformation,[status(esa)],[f327])).
% 17.74/2.64 fof(f330,plain,(
% 17.74/2.64 ![X0,X1,X2,X3]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|~X2=sdtlcdtrc0(X0,X1)|~aElementOf0(X3,X2)|sdtlpdtrp0(X0,sk0_13(X3,X2,X1,X0))=X3)),
% 17.74/2.64 inference(cnf_transformation,[status(esa)],[f327])).
% 17.74/2.64 fof(f355,plain,(
% 17.74/2.64 aSet0(xT)),
% 17.74/2.64 inference(cnf_transformation,[status(esa)],[f73])).
% 17.74/2.64 fof(f408,plain,(
% 17.74/2.64 (aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlpdtrp0(xe,W0)=szmzizndt0(sdtlpdtrp0(xN,W0))))),
% 17.74/2.64 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 17.74/2.65 fof(f409,plain,(
% 17.74/2.65 aFunction0(xe)),
% 17.74/2.65 inference(cnf_transformation,[status(esa)],[f408])).
% 17.74/2.65 fof(f410,plain,(
% 17.74/2.65 szDzozmdt0(xe)=szNzAzT0),
% 17.74/2.65 inference(cnf_transformation,[status(esa)],[f408])).
% 17.74/2.65 fof(f412,plain,(
% 17.74/2.65 (aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~aSet0(W1)|~aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)))|sdtlpdtrp0(xd,W0)=sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)))))),
% 17.74/2.65 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 17.74/2.65 fof(f413,plain,(
% 17.74/2.65 aFunction0(xd)),
% 17.74/2.65 inference(cnf_transformation,[status(esa)],[f412])).
% 17.74/2.65 fof(f414,plain,(
% 17.74/2.65 szDzozmdt0(xd)=szNzAzT0),
% 17.74/2.65 inference(cnf_transformation,[status(esa)],[f412])).
% 17.74/2.65 fof(f417,plain,(
% 17.74/2.65 aElementOf0(szDzizrdt0(xd),xT)),
% 17.74/2.65 inference(cnf_transformation,[status(esa)],[f94])).
% 17.74/2.65 fof(f420,plain,(
% 17.74/2.65 xO=sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
% 17.74/2.65 inference(cnf_transformation,[status(esa)],[f95])).
% 17.74/2.65 fof(f423,plain,(
% 17.74/2.65 (?[W0]: (aElementOf0(W0,xO)&(![W1]: ((~aElementOf0(W1,szNzAzT0)|~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))))|~sdtlpdtrp0(xe,W1)=W0))))),
% 17.74/2.65 inference(pre_NNF_transformation,[status(esa)],[f98])).
% 17.74/2.65 fof(f424,plain,(
% 17.74/2.65 (aElementOf0(sk0_24,xO)&(![W1]: ((~aElementOf0(W1,szNzAzT0)|~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))))|~sdtlpdtrp0(xe,W1)=sk0_24)))),
% 17.74/2.65 inference(skolemization,[status(esa)],[f423])).
% 17.74/2.65 fof(f425,plain,(
% 17.74/2.65 aElementOf0(sk0_24,xO)),
% 17.74/2.65 inference(cnf_transformation,[status(esa)],[f424])).
% 17.74/2.65 fof(f426,plain,(
% 17.74/2.65 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,X0)=sk0_24)),
% 17.74/2.65 inference(cnf_transformation,[status(esa)],[f424])).
% 17.74/2.65 fof(f465,plain,(
% 17.74/2.65 ![X0,X1,X2]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|~aElementOf0(X2,sdtlcdtrc0(X0,X1))|aElementOf0(sk0_13(X2,sdtlcdtrc0(X0,X1),X1,X0),X1))),
% 17.74/2.65 inference(destructive_equality_resolution,[status(esa)],[f329])).
% 17.74/2.65 fof(f466,plain,(
% 17.74/2.65 ![X0,X1,X2]: (~aFunction0(X0)|~aSubsetOf0(X1,szDzozmdt0(X0))|~aElementOf0(X2,sdtlcdtrc0(X0,X1))|sdtlpdtrp0(X0,sk0_13(X2,sdtlcdtrc0(X0,X1),X1,X0))=X2)),
% 17.74/2.65 inference(destructive_equality_resolution,[status(esa)],[f330])).
% 17.74/2.65 fof(f475,plain,(
% 17.74/2.65 spl0_0 <=> aFunction0(xd)),
% 17.74/2.65 introduced(split_symbol_definition)).
% 17.74/2.65 fof(f477,plain,(
% 17.74/2.65 ~aFunction0(xd)|spl0_0),
% 17.74/2.65 inference(component_clause,[status(thm)],[f475])).
% 17.74/2.65 fof(f478,plain,(
% 17.74/2.65 spl0_1 <=> ~aElement0(X0)|aSubsetOf0(sdtlbdtrb0(xd,X0),szNzAzT0)),
% 17.74/2.65 introduced(split_symbol_definition)).
% 17.74/2.65 fof(f479,plain,(
% 17.74/2.65 ![X0]: (~aElement0(X0)|aSubsetOf0(sdtlbdtrb0(xd,X0),szNzAzT0)|~spl0_1)),
% 17.74/2.65 inference(component_clause,[status(thm)],[f478])).
% 17.74/2.65 fof(f481,plain,(
% 17.74/2.65 ![X0]: (~aFunction0(xd)|~aElement0(X0)|aSubsetOf0(sdtlbdtrb0(xd,X0),szNzAzT0))),
% 17.74/2.65 inference(paramodulation,[status(thm)],[f414,f323])).
% 17.74/2.65 fof(f482,plain,(
% 17.74/2.65 ~spl0_0|spl0_1),
% 17.74/2.65 inference(split_clause,[status(thm)],[f481,f475,f478])).
% 17.74/2.65 fof(f483,plain,(
% 17.74/2.65 spl0_2 <=> aFunction0(xe)),
% 17.74/2.65 introduced(split_symbol_definition)).
% 17.74/2.65 fof(f485,plain,(
% 17.74/2.65 ~aFunction0(xe)|spl0_2),
% 17.74/2.65 inference(component_clause,[status(thm)],[f483])).
% 17.74/2.65 fof(f491,plain,(
% 17.74/2.65 $false|spl0_2),
% 17.74/2.65 inference(forward_subsumption_resolution,[status(thm)],[f485,f409])).
% 17.74/2.65 fof(f492,plain,(
% 17.74/2.65 spl0_2),
% 17.74/2.65 inference(contradiction_clause,[status(thm)],[f491])).
% 17.74/2.65 fof(f493,plain,(
% 17.74/2.65 $false|spl0_0),
% 17.74/2.65 inference(forward_subsumption_resolution,[status(thm)],[f477,f413])).
% 17.74/2.65 fof(f494,plain,(
% 17.74/2.65 spl0_0),
% 17.74/2.65 inference(contradiction_clause,[status(thm)],[f493])).
% 17.74/2.65 fof(f495,plain,(
% 17.74/2.65 spl0_4 <=> aSet0(szNzAzT0)),
% 17.74/2.65 introduced(split_symbol_definition)).
% 17.74/2.65 fof(f497,plain,(
% 17.74/2.65 ~aSet0(szNzAzT0)|spl0_4),
% 17.74/2.65 inference(component_clause,[status(thm)],[f495])).
% 17.74/2.65 fof(f503,plain,(
% 17.74/2.65 spl0_6 <=> aSet0(xT)),
% 17.74/2.65 introduced(split_symbol_definition)).
% 17.74/2.65 fof(f505,plain,(
% 17.74/2.65 ~aSet0(xT)|spl0_6),
% 17.74/2.65 inference(component_clause,[status(thm)],[f503])).
% 17.74/2.65 fof(f506,plain,(
% 17.74/2.65 spl0_7 <=> aElement0(szDzizrdt0(xd))),
% 17.74/2.65 introduced(split_symbol_definition)).
% 17.74/2.65 fof(f507,plain,(
% 17.74/2.65 aElement0(szDzizrdt0(xd))|~spl0_7),
% 17.74/2.65 inference(component_clause,[status(thm)],[f506])).
% 17.74/2.65 fof(f509,plain,(
% 17.74/2.65 ~aSet0(xT)|aElement0(szDzizrdt0(xd))),
% 17.74/2.65 inference(resolution,[status(thm)],[f106,f417])).
% 17.74/2.65 fof(f510,plain,(
% 17.74/2.65 ~spl0_6|spl0_7),
% 17.74/2.65 inference(split_clause,[status(thm)],[f509,f503,f506])).
% 17.74/2.65 fof(f521,plain,(
% 17.74/2.65 $false|spl0_6),
% 17.74/2.65 inference(forward_subsumption_resolution,[status(thm)],[f505,f355])).
% 17.74/2.65 fof(f522,plain,(
% 17.74/2.65 spl0_6),
% 17.74/2.65 inference(contradiction_clause,[status(thm)],[f521])).
% 17.74/2.65 fof(f523,plain,(
% 17.74/2.65 $false|spl0_4),
% 17.74/2.65 inference(forward_subsumption_resolution,[status(thm)],[f497,f175])).
% 17.74/2.65 fof(f524,plain,(
% 17.74/2.65 spl0_4),
% 17.74/2.65 inference(contradiction_clause,[status(thm)],[f523])).
% 17.74/2.65 fof(f2343,plain,(
% 17.74/2.65 spl0_228 <=> aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)),
% 17.74/2.65 introduced(split_symbol_definition)).
% 17.74/2.65 fof(f2344,plain,(
% 17.74/2.65 aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)|~spl0_228),
% 17.74/2.65 inference(component_clause,[status(thm)],[f2343])).
% 17.74/2.65 fof(f2345,plain,(
% 17.74/2.65 ~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)|spl0_228),
% 17.74/2.65 inference(component_clause,[status(thm)],[f2343])).
% 17.74/2.65 fof(f2426,plain,(
% 17.74/2.65 ~aElement0(szDzizrdt0(xd))|spl0_228|~spl0_1),
% 17.74/2.65 inference(resolution,[status(thm)],[f2345,f479])).
% 17.74/2.65 fof(f2427,plain,(
% 17.74/2.65 $false|~spl0_7|spl0_228|~spl0_1),
% 18.36/2.67 inference(forward_subsumption_resolution,[status(thm)],[f2426,f507])).
% 18.36/2.67 fof(f2428,plain,(
% 18.36/2.67 ~spl0_7|spl0_228|~spl0_1),
% 18.36/2.67 inference(contradiction_clause,[status(thm)],[f2427])).
% 18.36/2.67 fof(f2993,plain,(
% 18.36/2.67 spl0_316 <=> ~aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|aElementOf0(X0,szNzAzT0)),
% 18.36/2.67 introduced(split_symbol_definition)).
% 18.36/2.67 fof(f2994,plain,(
% 18.36/2.67 ![X0]: (~aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|aElementOf0(X0,szNzAzT0)|~spl0_316)),
% 18.36/2.67 inference(component_clause,[status(thm)],[f2993])).
% 18.36/2.67 fof(f2996,plain,(
% 18.36/2.67 ![X0]: (~aSet0(szNzAzT0)|~aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|aElementOf0(X0,szNzAzT0)|~spl0_228)),
% 18.36/2.67 inference(resolution,[status(thm)],[f128,f2344])).
% 18.36/2.67 fof(f2997,plain,(
% 18.36/2.67 ~spl0_4|spl0_316|~spl0_228),
% 18.36/2.67 inference(split_clause,[status(thm)],[f2996,f495,f2993,f2343])).
% 18.36/2.67 fof(f3654,plain,(
% 18.36/2.67 ![X0]: (~aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,X0)=sk0_24|~spl0_316)),
% 18.36/2.67 inference(backward_subsumption_resolution,[status(thm)],[f426,f2994])).
% 18.36/2.67 fof(f10067,plain,(
% 18.36/2.67 ![X0,X1]: (~aFunction0(X0)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(X0))|~aElementOf0(X1,sdtlcdtrc0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))))|~sdtlpdtrp0(xe,sk0_13(X1,sdtlcdtrc0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)),X0))=sk0_24|~spl0_316)),
% 18.36/2.67 inference(resolution,[status(thm)],[f465,f3654])).
% 18.36/2.67 fof(f10088,plain,(
% 18.36/2.67 spl0_984 <=> aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))),
% 18.36/2.67 introduced(split_symbol_definition)).
% 18.36/2.67 fof(f10090,plain,(
% 18.36/2.67 ~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))|spl0_984),
% 18.36/2.67 inference(component_clause,[status(thm)],[f10088])).
% 18.36/2.67 fof(f10099,plain,(
% 18.36/2.67 ~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)|spl0_984),
% 18.36/2.67 inference(forward_demodulation,[status(thm)],[f410,f10090])).
% 18.36/2.67 fof(f10100,plain,(
% 18.36/2.67 $false|~spl0_228|spl0_984),
% 18.36/2.67 inference(forward_subsumption_resolution,[status(thm)],[f10099,f2344])).
% 18.36/2.67 fof(f10101,plain,(
% 18.36/2.67 ~spl0_228|spl0_984),
% 18.36/2.67 inference(contradiction_clause,[status(thm)],[f10100])).
% 18.36/2.67 fof(f10178,plain,(
% 18.36/2.67 spl0_995 <=> aElementOf0(sk0_24,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))),
% 18.36/2.67 introduced(split_symbol_definition)).
% 18.36/2.67 fof(f10180,plain,(
% 18.36/2.67 ~aElementOf0(sk0_24,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))|spl0_995),
% 18.36/2.67 inference(component_clause,[status(thm)],[f10178])).
% 18.36/2.67 fof(f10181,plain,(
% 18.36/2.67 ~aFunction0(xe)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))|~aElementOf0(sk0_24,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))|~aFunction0(xe)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))|~aElementOf0(sk0_24,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))|~spl0_316),
% 18.36/2.67 inference(resolution,[status(thm)],[f10067,f466])).
% 18.36/2.67 fof(f10182,plain,(
% 18.36/2.67 ~spl0_2|~spl0_984|~spl0_995|~spl0_316),
% 18.36/2.67 inference(split_clause,[status(thm)],[f10181,f483,f10088,f10178,f2993])).
% 18.36/2.67 fof(f10188,plain,(
% 18.36/2.67 ~aElementOf0(sk0_24,xO)|spl0_995),
% 18.36/2.67 inference(forward_demodulation,[status(thm)],[f420,f10180])).
% 18.36/2.67 fof(f10189,plain,(
% 18.36/2.67 $false|spl0_995),
% 18.36/2.67 inference(forward_subsumption_resolution,[status(thm)],[f10188,f425])).
% 18.36/2.67 fof(f10190,plain,(
% 18.36/2.67 spl0_995),
% 18.36/2.67 inference(contradiction_clause,[status(thm)],[f10189])).
% 18.36/2.67 fof(f10191,plain,(
% 18.36/2.67 $false),
% 18.36/2.67 inference(sat_refutation,[status(thm)],[f482,f492,f494,f510,f522,f524,f2428,f2997,f10101,f10182,f10190])).
% 18.36/2.67 % SZS output end CNFRefutation for theBenchmark.p
% 18.36/2.69 % Elapsed time: 2.354450 seconds
% 18.36/2.69 % CPU time: 18.486785 seconds
% 18.36/2.69 % Total memory used: 178.735 MB
% 18.36/2.69 % Net memory used: 174.598 MB
%------------------------------------------------------------------------------