TSTP Solution File: NUM588+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM588+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:29:49 EDT 2023
% Result : Theorem 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM588+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:58:10 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f10,definition,(
% 0.15/0.33 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f14,axiom,(
% 0.15/0.33 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f88,conjecture,(
% 0.15/0.33 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) ))& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W2] :( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W2)& aElementOf0(W2,sdtlpdtrp0(xN,W0))& W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ))& aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(W1) )=> (! [W2] :( ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,W1) ))& aSubsetOf0(W2,W1)& sbrdtbr0(W2) = xk& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W3] :( aElementOf0(W3,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W3] :( aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W3)& aElementOf0(W3,sdtlpdtrp0(xN,W0))& W3 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ))=> ( (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))| aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))| aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ) )) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f89,negated_conjecture,(
% 0.15/0.33 ~((! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W2] :( aElementOf0(W2,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) ))& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W2] :( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W2)& aElementOf0(W2,sdtlpdtrp0(xN,W0))& W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ))& aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(W1) )=> (! [W2] :( ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,W1) ))& aSubsetOf0(W2,W1)& sbrdtbr0(W2) = xk& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))& (! [W3] :( aElementOf0(W3,sdtlpdtrp0(xN,W0))=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3) ) ))=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W3] :( aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=> ( aElement0(W3)& aElementOf0(W3,sdtlpdtrp0(xN,W0))& W3 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ))=> ( (! [W3] :( aElementOf0(W3,W2)=> aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))| aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))| aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ) )) )) ))),
% 0.15/0.33 inference(negated_conjecture,[status(cth)],[f88])).
% 0.15/0.33 fof(f114,plain,(
% 0.15/0.33 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.15/0.33 fof(f115,plain,(
% 0.15/0.33 ![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))))))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f114])).
% 0.15/0.33 fof(f116,plain,(
% 0.15/0.33 ![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))))))))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f115])).
% 0.15/0.33 fof(f117,plain,(
% 0.15/0.33 ![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)))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f116])).
% 0.15/0.33 fof(f118,plain,(
% 0.15/0.33 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f117])).
% 0.15/0.33 fof(f128,plain,(
% 0.15/0.33 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.33 fof(f129,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.33 fof(f477,plain,(
% 0.15/0.33 (?[W0]: (aElementOf0(W0,szNzAzT0)&(?[W1]: ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,W0)))&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))))&aSet0(W1))&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(W1))&(?[W2]: (((((aSet0(W2)&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,W1))))&aSubsetOf0(W2,W1))&sbrdtbr0(W2)=xk)&aElementOf0(W2,slbdtsldtrb0(W1,xk)))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W3]: (~aElementOf0(W3,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&(![W3]: (aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<=>((aElement0(W3)&aElementOf0(W3,sdtlpdtrp0(xN,W0)))&~W3=szmzizndt0(sdtlpdtrp0(xN,W0))))))&(((?[W3]: (aElementOf0(W3,W2)&~aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))))&~aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&~aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)))))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 0.15/0.33 fof(f478,plain,(
% 0.15/0.33 ?[W0]: (aElementOf0(W0,szNzAzT0)&(?[W1]: ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W2]: ((~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,W0)))&~W2=szmzizndt0(sdtlpdtrp0(xN,W0))))&(aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W2)|~aElementOf0(W2,sdtlpdtrp0(xN,W0)))|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(W1))&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(W1))&(?[W2]: (((((aSet0(W2)&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,W1))))&aSubsetOf0(W2,W1))&sbrdtbr0(W2)=xk)&aElementOf0(W2,slbdtsldtrb0(W1,xk)))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W3]: (~aElementOf0(W3,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&(![W3]: ((~aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W3)&aElementOf0(W3,sdtlpdtrp0(xN,W0)))&~W3=szmzizndt0(sdtlpdtrp0(xN,W0))))&(aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W3)|~aElementOf0(W3,sdtlpdtrp0(xN,W0)))|W3=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&(((?[W3]: (aElementOf0(W3,W2)&~aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))))&~aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&~aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))))))))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f477])).
% 0.15/0.33 fof(f479,plain,(
% 0.15/0.33 ?[W0]: (aElementOf0(W0,szNzAzT0)&(?[W1]: ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&((![W2]: (~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,W0)))&~W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W2)|~aElementOf0(W2,sdtlpdtrp0(xN,W0)))|W2=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSet0(W1))&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&isCountable0(W1))&(?[W2]: (((((aSet0(W2)&(![W3]: (~aElementOf0(W3,W2)|aElementOf0(W3,W1))))&aSubsetOf0(W2,W1))&sbrdtbr0(W2)=xk)&aElementOf0(W2,slbdtsldtrb0(W1,xk)))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))&(![W3]: (~aElementOf0(W3,sdtlpdtrp0(xN,W0))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&((![W3]: (~aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((aElement0(W3)&aElementOf0(W3,sdtlpdtrp0(xN,W0)))&~W3=szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W3]: (aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|((~aElement0(W3)|~aElementOf0(W3,sdtlpdtrp0(xN,W0)))|W3=szmzizndt0(sdtlpdtrp0(xN,W0)))))))&(((?[W3]: (aElementOf0(W3,W2)&~aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))))&~aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&~aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))))))))))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f478])).
% 0.15/0.33 fof(f480,plain,(
% 0.15/0.33 (aElementOf0(sk0_26,szNzAzT0)&((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sk0_26)),sdtlpdtrp0(xN,sk0_26))&(![W2]: (~aElementOf0(W2,sdtlpdtrp0(xN,sk0_26))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sk0_26)),W2))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26)))))&((![W2]: (~aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))|((aElement0(W2)&aElementOf0(W2,sdtlpdtrp0(xN,sk0_26)))&~W2=szmzizndt0(sdtlpdtrp0(xN,sk0_26)))))&(![W2]: (aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))|((~aElement0(W2)|~aElementOf0(W2,sdtlpdtrp0(xN,sk0_26)))|W2=szmzizndt0(sdtlpdtrp0(xN,sk0_26)))))))&aSet0(sk0_27))&(![W2]: (~aElementOf0(W2,sk0_27)|aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26)))))))&aSubsetOf0(sk0_27,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26)))))&isCountable0(sk0_27))&(((((aSet0(sk0_28)&(![W3]: (~aElementOf0(W3,sk0_28)|aElementOf0(W3,sk0_27))))&aSubsetOf0(sk0_28,sk0_27))&sbrdtbr0(sk0_28)=xk)&aElementOf0(sk0_28,slbdtsldtrb0(sk0_27,xk)))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sk0_26)),sdtlpdtrp0(xN,sk0_26))&(![W3]: (~aElementOf0(W3,sdtlpdtrp0(xN,sk0_26))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sk0_26)),W3))))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))&((![W3]: (~aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))|((aElement0(W3)&aElementOf0(W3,sdtlpdtrp0(xN,sk0_26)))&~W3=szmzizndt0(sdtlpdtrp0(xN,sk0_26)))))&(![W3]: (aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))|((~aElement0(W3)|~aElementOf0(W3,sdtlpdtrp0(xN,sk0_26)))|W3=szmzizndt0(sdtlpdtrp0(xN,sk0_26)))))))&(((aElementOf0(sk0_29,sk0_28)&~aElementOf0(sk0_29,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26)))))&~aSubsetOf0(sk0_28,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26)))))&~aElementOf0(sk0_28,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))),xk))))))))),
% 0.15/0.58 inference(skolemization,[status(esa)],[f479])).
% 0.15/0.58 fof(f484,plain,(
% 0.15/0.58 aSet0(sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f480])).
% 0.15/0.58 fof(f489,plain,(
% 0.15/0.58 aSet0(sk0_27)),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f480])).
% 0.15/0.58 fof(f491,plain,(
% 0.15/0.58 aSubsetOf0(sk0_27,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f480])).
% 0.15/0.58 fof(f495,plain,(
% 0.15/0.58 aSubsetOf0(sk0_28,sk0_27)),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f480])).
% 0.15/0.58 fof(f507,plain,(
% 0.15/0.58 ~aSubsetOf0(sk0_28,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f480])).
% 0.15/0.58 fof(f665,plain,(
% 0.15/0.58 spl0_4 <=> aSet0(sk0_27)),
% 0.15/0.58 introduced(split_symbol_definition)).
% 0.15/0.58 fof(f667,plain,(
% 0.15/0.58 ~aSet0(sk0_27)|spl0_4),
% 0.15/0.58 inference(component_clause,[status(thm)],[f665])).
% 0.15/0.58 fof(f673,plain,(
% 0.15/0.58 $false|spl0_4),
% 0.15/0.58 inference(forward_subsumption_resolution,[status(thm)],[f667,f489])).
% 0.15/0.58 fof(f674,plain,(
% 0.15/0.58 spl0_4),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f673])).
% 0.15/0.58 fof(f810,plain,(
% 0.15/0.58 spl0_28 <=> aSet0(sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))),
% 0.15/0.58 introduced(split_symbol_definition)).
% 0.15/0.58 fof(f812,plain,(
% 0.15/0.58 ~aSet0(sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))|spl0_28),
% 0.15/0.58 inference(component_clause,[status(thm)],[f810])).
% 0.15/0.58 fof(f815,plain,(
% 0.15/0.58 $false|spl0_28),
% 0.15/0.58 inference(forward_subsumption_resolution,[status(thm)],[f812,f484])).
% 0.15/0.58 fof(f816,plain,(
% 0.15/0.58 spl0_28),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f815])).
% 0.15/0.58 fof(f859,plain,(
% 0.15/0.58 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 0.15/0.58 inference(forward_subsumption_resolution,[status(thm)],[f129,f118])).
% 0.15/0.58 fof(f865,plain,(
% 0.15/0.58 spl0_36 <=> ~aSet0(X0)|~aSubsetOf0(sk0_27,X0)|aSubsetOf0(sk0_28,X0)),
% 0.15/0.58 introduced(split_symbol_definition)).
% 0.15/0.58 fof(f866,plain,(
% 0.15/0.58 ![X0]: (~aSet0(X0)|~aSubsetOf0(sk0_27,X0)|aSubsetOf0(sk0_28,X0)|~spl0_36)),
% 0.15/0.58 inference(component_clause,[status(thm)],[f865])).
% 0.15/0.58 fof(f868,plain,(
% 0.15/0.58 ![X0]: (~aSet0(sk0_27)|~aSet0(X0)|~aSubsetOf0(sk0_27,X0)|aSubsetOf0(sk0_28,X0))),
% 0.15/0.58 inference(resolution,[status(thm)],[f859,f495])).
% 0.15/0.58 fof(f869,plain,(
% 0.15/0.58 ~spl0_4|spl0_36),
% 0.15/0.58 inference(split_clause,[status(thm)],[f868,f665,f865])).
% 0.15/0.58 fof(f993,plain,(
% 0.15/0.58 spl0_58 <=> aSubsetOf0(sk0_28,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))),
% 0.15/0.58 introduced(split_symbol_definition)).
% 0.15/0.58 fof(f994,plain,(
% 0.15/0.58 aSubsetOf0(sk0_28,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))|~spl0_58),
% 0.15/0.58 inference(component_clause,[status(thm)],[f993])).
% 0.15/0.58 fof(f996,plain,(
% 0.15/0.58 ~aSet0(sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))|aSubsetOf0(sk0_28,sdtmndt0(sdtlpdtrp0(xN,sk0_26),szmzizndt0(sdtlpdtrp0(xN,sk0_26))))|~spl0_36),
% 0.15/0.58 inference(resolution,[status(thm)],[f866,f491])).
% 0.15/0.58 fof(f997,plain,(
% 0.15/0.58 ~spl0_28|spl0_58|~spl0_36),
% 0.15/0.58 inference(split_clause,[status(thm)],[f996,f810,f993,f865])).
% 0.15/0.58 fof(f1003,plain,(
% 0.15/0.58 $false|~spl0_58),
% 0.15/0.58 inference(forward_subsumption_resolution,[status(thm)],[f994,f507])).
% 0.15/0.58 fof(f1004,plain,(
% 0.15/0.58 ~spl0_58),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f1003])).
% 0.15/0.58 fof(f1005,plain,(
% 0.15/0.58 $false),
% 0.15/0.58 inference(sat_refutation,[status(thm)],[f674,f816,f869,f997,f1004])).
% 0.15/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.58 % Elapsed time: 0.054025 seconds
% 0.15/0.58 % CPU time: 0.030023 seconds
% 0.15/0.58 % Memory used: 4.661 MB
%------------------------------------------------------------------------------