TSTP Solution File: NUM587+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM587+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:35:15 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM587+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n020.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Apr 29 20:49:32 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.13/0.30 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f10,definition,(
% 0.13/0.35 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f73,hypothesis,(
% 0.13/0.35 ( aSet0(xT)& isFinite0(xT) ) ),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f76,hypothesis,(
% 0.13/0.35 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f90,hypothesis,(
% 0.13/0.35 ( xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))& aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f91,conjecture,(
% 0.13/0.35 aElementOf0(xx,xT) ),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f92,negated_conjecture,(
% 0.13/0.35 ~(aElementOf0(xx,xT) )),
% 0.13/0.35 inference(negated_conjecture,[status(cth)],[f91])).
% 0.13/0.35 fof(f117,plain,(
% 0.13/0.35 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.13/0.35 fof(f118,plain,(
% 0.13/0.35 ![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))))))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f117])).
% 0.13/0.35 fof(f119,plain,(
% 0.13/0.35 ![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))))))))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f118])).
% 0.13/0.35 fof(f120,plain,(
% 0.13/0.35 ![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)))))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f119])).
% 0.13/0.35 fof(f122,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f120])).
% 0.13/0.35 fof(f349,plain,(
% 0.13/0.35 aSet0(xT)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f73])).
% 0.13/0.35 fof(f356,plain,(
% 0.13/0.35 aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f76])).
% 0.13/0.35 fof(f392,plain,(
% 0.13/0.35 xx=sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f90])).
% 0.13/0.35 fof(f393,plain,(
% 0.13/0.35 aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f90])).
% 0.13/0.35 fof(f394,plain,(
% 0.13/0.35 ~aElementOf0(xx,xT)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f92])).
% 0.13/0.35 fof(f452,plain,(
% 0.13/0.35 aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc)))),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f392,f393])).
% 0.13/0.35 fof(f528,plain,(
% 0.13/0.35 spl0_14 <=> aSet0(xT)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f530,plain,(
% 0.13/0.35 ~aSet0(xT)|spl0_14),
% 0.13/0.35 inference(component_clause,[status(thm)],[f528])).
% 0.13/0.35 fof(f536,plain,(
% 0.13/0.35 $false|spl0_14),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f530,f349])).
% 0.13/0.35 fof(f537,plain,(
% 0.13/0.35 spl0_14),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f536])).
% 0.13/0.35 fof(f579,plain,(
% 0.13/0.35 spl0_23 <=> ~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(X0,xT)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f580,plain,(
% 0.13/0.35 ![X0]: (~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(X0,xT)|~spl0_23)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f579])).
% 0.13/0.35 fof(f582,plain,(
% 0.13/0.35 ![X0]: (~aSet0(xT)|~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))|aElementOf0(X0,xT))),
% 0.13/0.35 inference(resolution,[status(thm)],[f122,f356])).
% 0.13/0.35 fof(f583,plain,(
% 0.13/0.35 ~spl0_14|spl0_23),
% 0.13/0.35 inference(split_clause,[status(thm)],[f582,f528,f579])).
% 0.13/0.35 fof(f619,plain,(
% 0.13/0.35 aElementOf0(xx,xT)|~spl0_23),
% 0.13/0.35 inference(resolution,[status(thm)],[f580,f452])).
% 0.13/0.35 fof(f620,plain,(
% 0.13/0.36 $false|~spl0_23),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f619,f394])).
% 0.13/0.36 fof(f621,plain,(
% 0.13/0.36 ~spl0_23),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f620])).
% 0.13/0.36 fof(f622,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f537,f583,f621])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.071368 seconds
% 0.13/0.37 % CPU time: 0.404740 seconds
% 0.13/0.37 % Total memory used: 70.639 MB
% 0.13/0.37 % Net memory used: 70.380 MB
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