TSTP Solution File: NUM633+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM633+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 : Wed May 31 12:30:02 EDT 2023
% Result : Theorem 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM633+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n002.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 10:08:42 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f5,definition,(
% 0.10/0.38 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f23,axiom,(
% 0.10/0.38 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f24,axiom,(
% 0.10/0.38 aElementOf0(sz00,szNzAzT0) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f42,axiom,(
% 0.10/0.38 (! [W0] :( aSet0(W0)=> ( sbrdtbr0(W0) = sz00<=> W0 = slcrc0 ) ) )),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f64,axiom,(
% 0.10/0.38 (! [W0] :( aFunction0(W0)=> aSet0(szDzozmdt0(W0)) ) )),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f74,hypothesis,(
% 0.10/0.38 aElementOf0(xK,szNzAzT0) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f75,hypothesis,(
% 0.10/0.38 ( aSet0(xS)& (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f76,hypothesis,(
% 0.10/0.38 ( aFunction0(xc)& (! [W0] :( ( aElementOf0(W0,szDzozmdt0(xc))=> ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ))& aSubsetOf0(W0,xS)& sbrdtbr0(W0) = xK ) )& ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ) ))| aSubsetOf0(W0,xS) )& sbrdtbr0(W0) = xK )=> aElementOf0(W0,szDzozmdt0(xc)) ) ))& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))<=> (? [W1] :( aElementOf0(W1,szDzozmdt0(xc))& sdtlpdtrp0(xc,W1) = W0 ) )))& (! [W0] :( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))=> aElementOf0(W0,xT) ))& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f80,hypothesis,(
% 0.10/0.38 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f94,hypothesis,(
% 0.10/0.38 ( aElementOf0(szDzizrdt0(xd),xT)& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))& (! [W0] :( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))<=> ( aElementOf0(W0,szDzozmdt0(xd))& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) ) )) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f96,hypothesis,(
% 0.10/0.38 ( aSet0(xO)& isCountable0(xO) ) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f98,hypothesis,(
% 0.10/0.38 ( (! [W0] :( aElementOf0(W0,xO)=> aElementOf0(W0,xS) ))& aSubsetOf0(xO,xS) ) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f99,conjecture,(
% 0.10/0.38 ( (! [W0] :( ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xO) ) ))| aSubsetOf0(W0,xO) )& sbrdtbr0(W0) = xK )| aElementOf0(W0,slbdtsldtrb0(xO,xK)) )=> ( ~ ( ~ (? [W1] : aElementOf0(W1,W0))| W0 = slcrc0 )& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,szNzAzT0) ))& aSubsetOf0(W0,szNzAzT0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ))& aSubsetOf0(W0,xS)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ))& aSubsetOf0(W0,xS)& aElementOf0(W0,szDzozmdt0(xc))& sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) ))=> (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( ( ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,xS) ) ))| aSubsetOf0(W1,xS) )& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,W1) ))& aSubsetOf0(W2,W1)& sbrdtbr0(W2) = xK& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )=> sdtlpdtrp0(xc,W2) = W0 ) )) )) )) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f100,negated_conjecture,(
% 0.10/0.38 ~(( (! [W0] :( ( ( ( ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xO) ) ))| aSubsetOf0(W0,xO) )& sbrdtbr0(W0) = xK )| aElementOf0(W0,slbdtsldtrb0(xO,xK)) )=> ( ~ ( ~ (? [W1] : aElementOf0(W1,W0))| W0 = slcrc0 )& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,szNzAzT0) ))& aSubsetOf0(W0,szNzAzT0)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ))& aSubsetOf0(W0,xS)& (! [W1] :( aElementOf0(W1,W0)=> aElementOf0(W1,xS) ))& aSubsetOf0(W0,xS)& aElementOf0(W0,szDzozmdt0(xc))& sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) ))=> (? [W0] :( aElementOf0(W0,xT)& (? [W1] :( ( ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,xS) ) ))| aSubsetOf0(W1,xS) )& isCountable0(W1)& (! [W2] :( ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,W1) ))& aSubsetOf0(W2,W1)& sbrdtbr0(W2) = xK& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )=> sdtlpdtrp0(xc,W2) = W0 ) )) )) )) )),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f99])).
% 0.10/0.39 fof(f111,plain,(
% 0.10/0.39 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.10/0.39 fof(f112,plain,(
% 0.10/0.39 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.10/0.39 inference(NNF_transformation,[status(esa)],[f111])).
% 0.10/0.39 fof(f113,plain,(
% 0.10/0.39 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.10/0.39 inference(miniscoping,[status(esa)],[f112])).
% 0.10/0.39 fof(f114,plain,(
% 0.10/0.39 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 0.10/0.39 inference(skolemization,[status(esa)],[f113])).
% 0.10/0.39 fof(f115,plain,(
% 0.10/0.39 ![X0]: (~X0=slcrc0|aSet0(X0))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f114])).
% 0.10/0.39 fof(f116,plain,(
% 0.10/0.39 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f114])).
% 0.10/0.39 fof(f177,plain,(
% 0.10/0.39 aSet0(szNzAzT0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f23])).
% 0.10/0.39 fof(f179,plain,(
% 0.10/0.39 aElementOf0(sz00,szNzAzT0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.10/0.39 fof(f221,plain,(
% 0.10/0.39 ![W0]: (~aSet0(W0)|(sbrdtbr0(W0)=sz00<=>W0=slcrc0))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.10/0.39 fof(f222,plain,(
% 0.10/0.39 ![W0]: (~aSet0(W0)|((~sbrdtbr0(W0)=sz00|W0=slcrc0)&(sbrdtbr0(W0)=sz00|~W0=slcrc0)))),
% 0.10/0.39 inference(NNF_transformation,[status(esa)],[f221])).
% 0.10/0.39 fof(f224,plain,(
% 0.10/0.39 ![X0]: (~aSet0(X0)|sbrdtbr0(X0)=sz00|~X0=slcrc0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f222])).
% 0.10/0.39 fof(f309,plain,(
% 0.10/0.39 ![W0]: (~aFunction0(W0)|aSet0(szDzozmdt0(W0)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 0.10/0.39 fof(f310,plain,(
% 0.10/0.39 ![X0]: (~aFunction0(X0)|aSet0(szDzozmdt0(X0)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f309])).
% 0.10/0.39 fof(f359,plain,(
% 0.10/0.39 aElementOf0(xK,szNzAzT0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f74])).
% 0.10/0.39 fof(f360,plain,(
% 0.10/0.39 ((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 0.10/0.39 fof(f363,plain,(
% 0.10/0.39 aSubsetOf0(xS,szNzAzT0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f360])).
% 0.10/0.39 fof(f365,plain,(
% 0.10/0.39 (((((aFunction0(xc)&(![W0]: ((~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))<=>(?[W1]: (aElementOf0(W1,szDzozmdt0(xc))&sdtlpdtrp0(xc,W1)=W0)))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 0.10/0.39 fof(f366,plain,(
% 0.10/0.39 (((((aFunction0(xc)&(![W0]: ((~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK))&((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&(![W0]: ((~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xc))&sdtlpdtrp0(xc,W1)=W0)))&(aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xc))|~sdtlpdtrp0(xc,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 0.10/0.39 inference(NNF_transformation,[status(esa)],[f365])).
% 0.10/0.39 fof(f367,plain,(
% 0.10/0.39 (((((aFunction0(xc)&((![W0]: (~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK)))&(![W0]: ((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(?[W1]: (aElementOf0(W1,szDzozmdt0(xc))&sdtlpdtrp0(xc,W1)=W0))))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xc))|~sdtlpdtrp0(xc,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 0.10/0.39 inference(miniscoping,[status(esa)],[f366])).
% 0.10/0.39 fof(f368,plain,(
% 0.10/0.39 (((((aFunction0(xc)&((![W0]: (~aElementOf0(W0,szDzozmdt0(xc))|(((aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xK)))&(![W0]: ((((~aSet0(W0)|(aElementOf0(sk0_19(W0),W0)&~aElementOf0(sk0_19(W0),xS)))&~aSubsetOf0(W0,xS))|~sbrdtbr0(W0)=xK)|aElementOf0(W0,szDzozmdt0(xc))))))&szDzozmdt0(xc)=slbdtsldtrb0(xS,xK))&aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))))&((![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(aElementOf0(sk0_20(W0),szDzozmdt0(xc))&sdtlpdtrp0(xc,sk0_20(W0))=W0)))&(![W0]: (aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|(![W1]: (~aElementOf0(W1,szDzozmdt0(xc))|~sdtlpdtrp0(xc,W1)=W0))))))&(![W0]: (~aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(W0,xT))))&aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 0.10/0.39 inference(skolemization,[status(esa)],[f367])).
% 0.10/0.39 fof(f369,plain,(
% 0.10/0.39 aFunction0(xc)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f368])).
% 0.10/0.39 fof(f395,plain,(
% 0.10/0.39 aElementOf0(xk,szNzAzT0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f80])).
% 0.10/0.39 fof(f556,plain,(
% 0.10/0.39 (aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&(![W0]: ((~aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))&(aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(~aElementOf0(W0,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))))),
% 0.10/0.39 inference(NNF_transformation,[status(esa)],[f94])).
% 0.10/0.39 fof(f557,plain,(
% 0.10/0.39 (aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&((![W0]: (~aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(aElementOf0(W0,szDzozmdt0(xd))&sdtlpdtrp0(xd,W0)=szDzizrdt0(xd))))&(![W0]: (aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))|(~aElementOf0(W0,szDzozmdt0(xd))|~sdtlpdtrp0(xd,W0)=szDzizrdt0(xd)))))),
% 0.10/0.39 inference(miniscoping,[status(esa)],[f556])).
% 0.10/0.39 fof(f558,plain,(
% 0.10/0.39 aElementOf0(szDzizrdt0(xd),xT)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f557])).
% 0.10/0.39 fof(f576,plain,(
% 0.10/0.39 isCountable0(xO)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f96])).
% 0.10/0.39 fof(f585,plain,(
% 0.10/0.39 (![W0]: (~aElementOf0(W0,xO)|aElementOf0(W0,xS)))&aSubsetOf0(xO,xS)),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f98])).
% 0.10/0.39 fof(f587,plain,(
% 0.10/0.39 aSubsetOf0(xO,xS)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f585])).
% 0.10/0.39 fof(f588,plain,(
% 0.10/0.39 ((![W0]: (((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xO))))&~aSubsetOf0(W0,xO))|~sbrdtbr0(W0)=xK)&~aElementOf0(W0,slbdtsldtrb0(xO,xK)))|((((((((((?[W1]: aElementOf0(W1,W0))&~W0=slcrc0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,szNzAzT0))))&aSubsetOf0(W0,szNzAzT0))&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&aElementOf0(W0,szDzozmdt0(xc)))&sdtlpdtrp0(xc,W0)=szDzizrdt0(xd))))&(![W0]: (~aElementOf0(W0,xT)|(![W1]: ((((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,xS))))&~aSubsetOf0(W1,xS))|~isCountable0(W1))|(?[W2]: (((((aSet0(W2)&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,W1))))&aSubsetOf0(W2,W1))&sbrdtbr0(W2)=xK)&aElementOf0(W2,slbdtsldtrb0(W1,xK)))&~sdtlpdtrp0(xc,W2)=W0)))))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f100])).
% 0.10/0.39 fof(f589,plain,(
% 0.10/0.39 ![W0]: (pd0_10(W0)=>((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xO))))&~aSubsetOf0(W0,xO))|~sbrdtbr0(W0)=xK)&~aElementOf0(W0,slbdtsldtrb0(xO,xK))))),
% 0.10/0.39 introduced(predicate_definition,[f588])).
% 0.10/0.39 fof(f590,plain,(
% 0.10/0.39 ![W1]: (pd0_11(W1)=>(((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,xS))))&~aSubsetOf0(W1,xS))|~isCountable0(W1)))),
% 0.10/0.39 introduced(predicate_definition,[f588])).
% 0.10/0.39 fof(f591,plain,(
% 0.10/0.39 (![W0]: (pd0_10(W0)|((((((((((?[W1]: aElementOf0(W1,W0))&~W0=slcrc0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,szNzAzT0))))&aSubsetOf0(W0,szNzAzT0))&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&aElementOf0(W0,szDzozmdt0(xc)))&sdtlpdtrp0(xc,W0)=szDzizrdt0(xd))))&(![W0]: (~aElementOf0(W0,xT)|(![W1]: (pd0_11(W1)|(?[W2]: (((((aSet0(W2)&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,W1))))&aSubsetOf0(W2,W1))&sbrdtbr0(W2)=xK)&aElementOf0(W2,slbdtsldtrb0(W1,xK)))&~sdtlpdtrp0(xc,W2)=W0))))))),
% 0.10/0.39 inference(formula_renaming,[status(thm)],[f588,f590,f589])).
% 0.10/0.39 fof(f592,plain,(
% 0.10/0.39 (![W0]: (pd0_10(W0)|(((((((((aElementOf0(sk0_36(W0),W0)&~W0=slcrc0)&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,szNzAzT0))))&aSubsetOf0(W0,szNzAzT0))&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&(![W1]: (~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&aElementOf0(W0,szDzozmdt0(xc)))&sdtlpdtrp0(xc,W0)=szDzizrdt0(xd))))&(![W0]: (~aElementOf0(W0,xT)|(![W1]: (pd0_11(W1)|(((((aSet0(sk0_37(W1,W0))&(![W3]: (~aElementOf0(W3,sk0_37(W1,W0))|aElementOf0(W3,W1))))&aSubsetOf0(sk0_37(W1,W0),W1))&sbrdtbr0(sk0_37(W1,W0))=xK)&aElementOf0(sk0_37(W1,W0),slbdtsldtrb0(W1,xK)))&~sdtlpdtrp0(xc,sk0_37(W1,W0))=W0)))))),
% 0.10/0.39 inference(skolemization,[status(esa)],[f591])).
% 0.10/0.39 fof(f602,plain,(
% 0.10/0.39 ![X0]: (pd0_10(X0)|sdtlpdtrp0(xc,X0)=szDzizrdt0(xd))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f592])).
% 0.10/0.39 fof(f607,plain,(
% 0.10/0.39 ![X0,X1]: (~aElementOf0(X0,xT)|pd0_11(X1)|aElementOf0(sk0_37(X1,X0),slbdtsldtrb0(X1,xK)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f592])).
% 0.10/0.39 fof(f608,plain,(
% 0.10/0.39 ![X0,X1]: (~aElementOf0(X0,xT)|pd0_11(X1)|~sdtlpdtrp0(xc,sk0_37(X1,X0))=X0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f592])).
% 0.10/0.39 fof(f705,plain,(
% 0.10/0.39 ![W0]: (~pd0_10(W0)|((((~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&~aElementOf0(W1,xO))))&~aSubsetOf0(W0,xO))|~sbrdtbr0(W0)=xK)&~aElementOf0(W0,slbdtsldtrb0(xO,xK))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f589])).
% 0.10/0.39 fof(f706,plain,(
% 0.10/0.39 ![W0]: (~pd0_10(W0)|((((~aSet0(W0)|(aElementOf0(sk0_48(W0),W0)&~aElementOf0(sk0_48(W0),xO)))&~aSubsetOf0(W0,xO))|~sbrdtbr0(W0)=xK)&~aElementOf0(W0,slbdtsldtrb0(xO,xK))))),
% 0.10/0.39 inference(skolemization,[status(esa)],[f705])).
% 0.10/0.39 fof(f710,plain,(
% 0.10/0.39 ![X0]: (~pd0_10(X0)|~aElementOf0(X0,slbdtsldtrb0(xO,xK)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f706])).
% 0.10/0.39 fof(f711,plain,(
% 0.10/0.39 ![W1]: (~pd0_11(W1)|(((~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,xS))))&~aSubsetOf0(W1,xS))|~isCountable0(W1)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(esa)],[f590])).
% 0.10/0.39 fof(f712,plain,(
% 0.10/0.39 ![W1]: (~pd0_11(W1)|(((~aSet0(W1)|(aElementOf0(sk0_49(W1),W1)&~aElementOf0(sk0_49(W1),xS)))&~aSubsetOf0(W1,xS))|~isCountable0(W1)))),
% 0.10/0.39 inference(skolemization,[status(esa)],[f711])).
% 0.10/0.39 fof(f715,plain,(
% 0.10/0.39 ![X0]: (~pd0_11(X0)|~aSubsetOf0(X0,xS)|~isCountable0(X0))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f712])).
% 0.10/0.39 fof(f722,plain,(
% 0.10/0.39 aSet0(slcrc0)),
% 0.10/0.39 inference(destructive_equality_resolution,[status(esa)],[f115])).
% 0.10/0.39 fof(f723,plain,(
% 0.10/0.39 ![X0]: (~aElementOf0(X0,slcrc0))),
% 0.10/0.39 inference(destructive_equality_resolution,[status(esa)],[f116])).
% 0.10/0.39 fof(f734,plain,(
% 0.10/0.39 ~aSet0(slcrc0)|sbrdtbr0(slcrc0)=sz00),
% 0.10/0.39 inference(destructive_equality_resolution,[status(esa)],[f224])).
% 0.10/0.39 fof(f887,plain,(
% 0.10/0.39 spl0_18 <=> aSet0(szDzozmdt0(xc))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f889,plain,(
% 0.10/0.39 ~aSet0(szDzozmdt0(xc))|spl0_18),
% 0.10/0.39 inference(component_clause,[status(thm)],[f887])).
% 0.10/0.39 fof(f923,plain,(
% 0.10/0.39 spl0_26 <=> pd0_11(xO)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f975,plain,(
% 0.10/0.39 spl0_35 <=> aElementOf0(szDzizrdt0(xd),xT)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f977,plain,(
% 0.10/0.39 ~aElementOf0(szDzizrdt0(xd),xT)|spl0_35),
% 0.10/0.39 inference(component_clause,[status(thm)],[f975])).
% 0.10/0.39 fof(f978,plain,(
% 0.10/0.39 spl0_36 <=> pd0_11(X0)|pd0_10(sk0_37(X0,szDzizrdt0(xd)))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f979,plain,(
% 0.10/0.39 ![X0]: (pd0_11(X0)|pd0_10(sk0_37(X0,szDzizrdt0(xd)))|~spl0_36)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f978])).
% 0.10/0.39 fof(f981,plain,(
% 0.10/0.39 ![X0]: (~aElementOf0(szDzizrdt0(xd),xT)|pd0_11(X0)|pd0_10(sk0_37(X0,szDzizrdt0(xd))))),
% 0.10/0.39 inference(resolution,[status(thm)],[f608,f602])).
% 0.10/0.39 fof(f982,plain,(
% 0.10/0.39 ~spl0_35|spl0_36),
% 0.10/0.39 inference(split_clause,[status(thm)],[f981,f975,f978])).
% 0.10/0.39 fof(f1007,plain,(
% 0.10/0.39 spl0_41 <=> ~aElementOf0(X0,xT)|~pd0_10(sk0_37(xO,X0))),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f1008,plain,(
% 0.10/0.39 ![X0]: (~aElementOf0(X0,xT)|~pd0_10(sk0_37(xO,X0))|~spl0_41)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f1007])).
% 0.10/0.39 fof(f1010,plain,(
% 0.10/0.39 ![X0]: (~aElementOf0(X0,xT)|pd0_11(xO)|~pd0_10(sk0_37(xO,X0)))),
% 0.10/0.39 inference(resolution,[status(thm)],[f607,f710])).
% 0.10/0.39 fof(f1011,plain,(
% 0.10/0.39 spl0_41|spl0_26),
% 0.10/0.39 inference(split_clause,[status(thm)],[f1010,f1007,f923])).
% 0.10/0.39 fof(f1014,plain,(
% 0.10/0.39 spl0_42 <=> isCountable0(xO)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f1016,plain,(
% 0.10/0.39 ~isCountable0(xO)|spl0_42),
% 0.10/0.39 inference(component_clause,[status(thm)],[f1014])).
% 0.10/0.39 fof(f1017,plain,(
% 0.10/0.39 ~pd0_11(xO)|~isCountable0(xO)),
% 0.10/0.39 inference(resolution,[status(thm)],[f587,f715])).
% 0.10/0.39 fof(f1018,plain,(
% 0.10/0.39 ~spl0_26|~spl0_42),
% 0.10/0.39 inference(split_clause,[status(thm)],[f1017,f923,f1014])).
% 0.10/0.39 fof(f1019,plain,(
% 0.10/0.39 $false|spl0_42),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1016,f576])).
% 0.10/0.39 fof(f1020,plain,(
% 0.10/0.39 spl0_42),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1019])).
% 0.10/0.39 fof(f1354,plain,(
% 0.10/0.39 $false|spl0_35),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f977,f558])).
% 0.10/0.39 fof(f1355,plain,(
% 0.10/0.39 spl0_35),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1354])).
% 0.10/0.39 fof(f1356,plain,(
% 0.10/0.39 ~aFunction0(xc)|spl0_18),
% 0.10/0.39 inference(resolution,[status(thm)],[f889,f310])).
% 0.10/0.39 fof(f1357,plain,(
% 0.10/0.39 $false|spl0_18),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1356,f369])).
% 0.10/0.39 fof(f1358,plain,(
% 0.10/0.39 spl0_18),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1357])).
% 0.10/0.39 fof(f1579,plain,(
% 0.10/0.39 sbrdtbr0(slcrc0)=sz00),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f734,f722])).
% 0.10/0.39 fof(f1615,plain,(
% 0.10/0.39 spl0_132 <=> aElementOf0(sz00,szNzAzT0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f1617,plain,(
% 0.10/0.39 ~aElementOf0(sz00,szNzAzT0)|spl0_132),
% 0.10/0.39 inference(component_clause,[status(thm)],[f1615])).
% 0.10/0.39 fof(f1623,plain,(
% 0.10/0.39 $false|spl0_132),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1617,f179])).
% 0.10/0.39 fof(f1624,plain,(
% 0.10/0.39 spl0_132),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1623])).
% 0.10/0.39 fof(f2061,plain,(
% 0.10/0.39 spl0_169 <=> ~aSet0(X0)|~aSet0(X0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f2062,plain,(
% 0.10/0.39 ![X0]: (~aSet0(X0)|~aSet0(X0)|~spl0_169)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f2061])).
% 0.10/0.39 fof(f2072,plain,(
% 0.10/0.39 ![X0]: (~aSet0(X0)|~spl0_169)),
% 0.10/0.39 inference(duplicate_literals_removal,[status(esa)],[f2062])).
% 0.10/0.39 fof(f2116,plain,(
% 0.10/0.39 spl0_176 <=> aFunction0(xc)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f2118,plain,(
% 0.10/0.39 ~aFunction0(xc)|spl0_176),
% 0.10/0.39 inference(component_clause,[status(thm)],[f2116])).
% 0.10/0.39 fof(f2121,plain,(
% 0.10/0.39 $false|spl0_176),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2118,f369])).
% 0.10/0.39 fof(f2122,plain,(
% 0.10/0.39 spl0_176),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f2121])).
% 0.10/0.39 fof(f2125,plain,(
% 0.10/0.39 $false|~spl0_169),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f177,f2072])).
% 0.10/0.39 fof(f2126,plain,(
% 0.10/0.39 ~spl0_169),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f2125])).
% 0.10/0.39 fof(f2240,plain,(
% 0.10/0.39 spl0_195 <=> aSubsetOf0(xS,szNzAzT0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f2242,plain,(
% 0.10/0.39 ~aSubsetOf0(xS,szNzAzT0)|spl0_195),
% 0.10/0.39 inference(component_clause,[status(thm)],[f2240])).
% 0.10/0.39 fof(f2248,plain,(
% 0.10/0.39 $false|spl0_195),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2242,f363])).
% 0.10/0.39 fof(f2249,plain,(
% 0.10/0.39 spl0_195),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f2248])).
% 0.10/0.39 fof(f2279,plain,(
% 0.10/0.39 spl0_198 <=> aElementOf0(xK,szNzAzT0)),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.40 fof(f2281,plain,(
% 0.10/0.40 ~aElementOf0(xK,szNzAzT0)|spl0_198),
% 0.10/0.40 inference(component_clause,[status(thm)],[f2279])).
% 0.10/0.40 fof(f2284,plain,(
% 0.10/0.40 $false|spl0_198),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2281,f359])).
% 0.10/0.40 fof(f2285,plain,(
% 0.10/0.40 spl0_198),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f2284])).
% 0.10/0.40 fof(f2485,plain,(
% 0.10/0.40 spl0_224 <=> ~aElementOf0(X0,xT)|aElementOf0(sk0_37(xO,X0),slcrc0)),
% 0.10/0.40 introduced(split_symbol_definition)).
% 0.10/0.40 fof(f2486,plain,(
% 0.10/0.40 ![X0]: (~aElementOf0(X0,xT)|aElementOf0(sk0_37(xO,X0),slcrc0)|~spl0_224)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f2485])).
% 0.10/0.40 fof(f2627,plain,(
% 0.10/0.40 spl0_235 <=> aElementOf0(xk,szNzAzT0)),
% 0.10/0.40 introduced(split_symbol_definition)).
% 0.10/0.40 fof(f2629,plain,(
% 0.10/0.40 ~aElementOf0(xk,szNzAzT0)|spl0_235),
% 0.10/0.40 inference(component_clause,[status(thm)],[f2627])).
% 0.10/0.40 fof(f2635,plain,(
% 0.10/0.40 $false|spl0_235),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2629,f395])).
% 0.10/0.40 fof(f2636,plain,(
% 0.10/0.40 spl0_235),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f2635])).
% 0.10/0.40 fof(f2840,plain,(
% 0.10/0.40 ![X0]: (~aElementOf0(X0,xT)|~spl0_224)),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2486,f723])).
% 0.10/0.40 fof(f3077,plain,(
% 0.10/0.40 spl0_294 <=> aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)),
% 0.10/0.40 introduced(split_symbol_definition)).
% 0.10/0.40 fof(f3079,plain,(
% 0.10/0.40 ~aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)|spl0_294),
% 0.10/0.40 inference(component_clause,[status(thm)],[f3077])).
% 0.10/0.40 fof(f3083,plain,(
% 0.10/0.40 ~aElementOf0(sz00,szNzAzT0)|spl0_294),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f1579,f3079])).
% 0.10/0.40 fof(f3084,plain,(
% 0.10/0.40 $false|spl0_294),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f3083,f179])).
% 0.10/0.40 fof(f3085,plain,(
% 0.10/0.40 spl0_294),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f3084])).
% 0.10/0.40 fof(f3296,plain,(
% 0.10/0.40 $false|~spl0_224),
% 0.10/0.40 inference(backward_subsumption_resolution,[status(thm)],[f558,f2840])).
% 0.10/0.40 fof(f3297,plain,(
% 0.10/0.40 ~spl0_224),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f3296])).
% 0.10/0.40 fof(f3328,plain,(
% 0.10/0.40 ~aElementOf0(szDzizrdt0(xd),xT)|pd0_11(xO)|~spl0_41|~spl0_36),
% 0.10/0.40 inference(resolution,[status(thm)],[f1008,f979])).
% 0.10/0.40 fof(f3329,plain,(
% 0.10/0.40 ~spl0_35|spl0_26|~spl0_41|~spl0_36),
% 0.10/0.40 inference(split_clause,[status(thm)],[f3328,f975,f923,f1007,f978])).
% 0.10/0.40 fof(f3333,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(sat_refutation,[status(thm)],[f982,f1011,f1018,f1020,f1355,f1358,f1624,f2122,f2126,f2249,f2285,f2636,f3085,f3297,f3329])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.40 % Elapsed time: 0.132193 seconds
% 0.10/0.40 % CPU time: 0.900037 seconds
% 0.10/0.40 % Memory used: 80.988 MB
%------------------------------------------------------------------------------