TSTP Solution File: NUM552+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM552+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:29:40 EDT 2023
% Result : Theorem 0.15s 0.51s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUM552+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n018.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 10:05:55 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.51 % Refutation found
% 0.15/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.51 fof(f10,definition,(
% 0.15/0.51 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.15/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f57,definition,(
% 0.15/0.51 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 0.15/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f61,hypothesis,(
% 0.15/0.51 aElementOf0(xk,szNzAzT0) ),
% 0.15/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f62,hypothesis,(
% 0.15/0.51 ( aSet0(xS)& aSet0(xT)& xk != sz00 ) ),
% 0.15/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f63,hypothesis,(
% 0.15/0.51 ( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))& slbdtsldtrb0(xS,xk) != slcrc0 ) ),
% 0.15/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f65,hypothesis,(
% 0.15/0.51 aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
% 0.15/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f68,conjecture,(
% 0.15/0.51 ( aElementOf0(xx,xQ)=> aElementOf0(xx,xT) ) ),
% 0.15/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f69,negated_conjecture,(
% 0.15/0.51 ~(( aElementOf0(xx,xQ)=> aElementOf0(xx,xT) ) )),
% 0.15/0.51 inference(negated_conjecture,[status(cth)],[f68])).
% 0.15/0.51 fof(f94,plain,(
% 0.15/0.51 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.15/0.51 fof(f95,plain,(
% 0.15/0.51 ![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))))))))),
% 0.15/0.51 inference(NNF_transformation,[status(esa)],[f94])).
% 0.15/0.51 fof(f96,plain,(
% 0.15/0.51 ![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))))))))),
% 0.15/0.51 inference(miniscoping,[status(esa)],[f95])).
% 0.15/0.51 fof(f97,plain,(
% 0.15/0.51 ![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)))))))),
% 0.15/0.51 inference(skolemization,[status(esa)],[f96])).
% 0.15/0.51 fof(f99,plain,(
% 0.15/0.51 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f97])).
% 0.15/0.51 fof(f251,plain,(
% 0.15/0.51 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.15/0.51 fof(f252,plain,(
% 0.15/0.51 ![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)))))))))),
% 0.15/0.51 inference(NNF_transformation,[status(esa)],[f251])).
% 0.15/0.51 fof(f253,plain,(
% 0.15/0.51 ![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)))))))))),
% 0.15/0.51 inference(miniscoping,[status(esa)],[f252])).
% 0.15/0.51 fof(f254,plain,(
% 0.15/0.51 ![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))))))))),
% 0.15/0.51 inference(skolemization,[status(esa)],[f253])).
% 0.15/0.51 fof(f255,plain,(
% 0.15/0.51 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aSet0(X2))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f254])).
% 0.15/0.51 fof(f256,plain,(
% 0.15/0.51 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|aSubsetOf0(X3,X0))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f254])).
% 0.15/0.51 fof(f268,plain,(
% 0.15/0.51 aElementOf0(xk,szNzAzT0)),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f61])).
% 0.15/0.51 fof(f270,plain,(
% 0.15/0.51 aSet0(xT)),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f62])).
% 0.15/0.51 fof(f272,plain,(
% 0.15/0.51 aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f63])).
% 0.15/0.51 fof(f275,plain,(
% 0.15/0.51 aElementOf0(xQ,slbdtsldtrb0(xS,xk))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f65])).
% 0.15/0.51 fof(f281,plain,(
% 0.15/0.51 (aElementOf0(xx,xQ)&~aElementOf0(xx,xT))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 0.15/0.51 fof(f282,plain,(
% 0.15/0.51 aElementOf0(xx,xQ)),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f281])).
% 0.15/0.51 fof(f283,plain,(
% 0.15/0.51 ~aElementOf0(xx,xT)),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f281])).
% 0.15/0.51 fof(f313,plain,(
% 0.15/0.51 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|aSet0(slbdtsldtrb0(X0,X1)))),
% 0.15/0.51 inference(destructive_equality_resolution,[status(esa)],[f255])).
% 0.15/0.51 fof(f314,plain,(
% 0.15/0.51 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|aSubsetOf0(X2,X0))),
% 0.15/0.51 inference(destructive_equality_resolution,[status(esa)],[f256])).
% 0.15/0.51 fof(f393,plain,(
% 0.15/0.51 spl0_14 <=> aSet0(slbdtsldtrb0(xT,xk))),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f395,plain,(
% 0.15/0.51 ~aSet0(slbdtsldtrb0(xT,xk))|spl0_14),
% 0.15/0.51 inference(component_clause,[status(thm)],[f393])).
% 0.15/0.51 fof(f401,plain,(
% 0.15/0.51 spl0_16 <=> ~aElementOf0(X0,slbdtsldtrb0(xS,xk))|aElementOf0(X0,slbdtsldtrb0(xT,xk))),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f402,plain,(
% 0.15/0.51 ![X0]: (~aElementOf0(X0,slbdtsldtrb0(xS,xk))|aElementOf0(X0,slbdtsldtrb0(xT,xk))|~spl0_16)),
% 0.15/0.51 inference(component_clause,[status(thm)],[f401])).
% 0.15/0.51 fof(f404,plain,(
% 0.15/0.51 ![X0]: (~aSet0(slbdtsldtrb0(xT,xk))|~aElementOf0(X0,slbdtsldtrb0(xS,xk))|aElementOf0(X0,slbdtsldtrb0(xT,xk)))),
% 0.15/0.51 inference(resolution,[status(thm)],[f99,f272])).
% 0.15/0.51 fof(f405,plain,(
% 0.15/0.51 ~spl0_14|spl0_16),
% 0.15/0.51 inference(split_clause,[status(thm)],[f404,f393,f401])).
% 0.15/0.51 fof(f592,plain,(
% 0.15/0.51 spl0_44 <=> aElementOf0(xk,szNzAzT0)),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f594,plain,(
% 0.15/0.51 ~aElementOf0(xk,szNzAzT0)|spl0_44),
% 0.15/0.51 inference(component_clause,[status(thm)],[f592])).
% 0.15/0.51 fof(f600,plain,(
% 0.15/0.51 $false|spl0_44),
% 0.15/0.51 inference(forward_subsumption_resolution,[status(thm)],[f594,f268])).
% 0.15/0.51 fof(f601,plain,(
% 0.15/0.51 spl0_44),
% 0.15/0.51 inference(contradiction_clause,[status(thm)],[f600])).
% 0.15/0.51 fof(f914,plain,(
% 0.15/0.51 spl0_76 <=> aSet0(xT)),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f916,plain,(
% 0.15/0.51 ~aSet0(xT)|spl0_76),
% 0.15/0.51 inference(component_clause,[status(thm)],[f914])).
% 0.15/0.51 fof(f917,plain,(
% 0.15/0.51 ~aSet0(xT)|~aElementOf0(xk,szNzAzT0)|spl0_14),
% 0.15/0.51 inference(resolution,[status(thm)],[f313,f395])).
% 0.15/0.51 fof(f918,plain,(
% 0.15/0.51 ~spl0_76|~spl0_44|spl0_14),
% 0.15/0.51 inference(split_clause,[status(thm)],[f917,f914,f592,f393])).
% 0.15/0.51 fof(f919,plain,(
% 0.15/0.51 $false|spl0_76),
% 0.15/0.51 inference(forward_subsumption_resolution,[status(thm)],[f916,f270])).
% 0.15/0.51 fof(f920,plain,(
% 0.15/0.51 spl0_76),
% 0.15/0.51 inference(contradiction_clause,[status(thm)],[f919])).
% 0.15/0.51 fof(f1270,plain,(
% 0.15/0.51 aElementOf0(xQ,slbdtsldtrb0(xT,xk))|~spl0_16),
% 0.15/0.51 inference(resolution,[status(thm)],[f275,f402])).
% 0.15/0.51 fof(f3276,plain,(
% 0.15/0.51 spl0_361 <=> aSubsetOf0(xQ,xT)),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f3277,plain,(
% 0.15/0.51 aSubsetOf0(xQ,xT)|~spl0_361),
% 0.15/0.51 inference(component_clause,[status(thm)],[f3276])).
% 0.15/0.51 fof(f3279,plain,(
% 0.15/0.51 ~aSet0(xT)|~aElementOf0(xk,szNzAzT0)|aSubsetOf0(xQ,xT)|~spl0_16),
% 0.15/0.51 inference(resolution,[status(thm)],[f314,f1270])).
% 0.15/0.51 fof(f3280,plain,(
% 0.15/0.51 ~spl0_76|~spl0_44|spl0_361|~spl0_16),
% 0.15/0.51 inference(split_clause,[status(thm)],[f3279,f914,f592,f3276,f401])).
% 0.15/0.52 fof(f3797,plain,(
% 0.15/0.52 spl0_421 <=> ~aElementOf0(X0,xQ)|aElementOf0(X0,xT)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f3798,plain,(
% 0.15/0.52 ![X0]: (~aElementOf0(X0,xQ)|aElementOf0(X0,xT)|~spl0_421)),
% 0.15/0.52 inference(component_clause,[status(thm)],[f3797])).
% 0.15/0.52 fof(f3800,plain,(
% 0.15/0.52 ![X0]: (~aSet0(xT)|~aElementOf0(X0,xQ)|aElementOf0(X0,xT)|~spl0_361)),
% 0.15/0.52 inference(resolution,[status(thm)],[f3277,f99])).
% 0.15/0.52 fof(f3801,plain,(
% 0.15/0.52 ~spl0_76|spl0_421|~spl0_361),
% 0.15/0.52 inference(split_clause,[status(thm)],[f3800,f914,f3797,f3276])).
% 0.15/0.52 fof(f3898,plain,(
% 0.15/0.52 aElementOf0(xx,xT)|~spl0_421),
% 0.15/0.52 inference(resolution,[status(thm)],[f3798,f282])).
% 0.15/0.52 fof(f3899,plain,(
% 0.15/0.52 $false|~spl0_421),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f3898,f283])).
% 0.15/0.52 fof(f3900,plain,(
% 0.15/0.52 ~spl0_421),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f3899])).
% 0.15/0.52 fof(f3901,plain,(
% 0.15/0.52 $false),
% 0.15/0.52 inference(sat_refutation,[status(thm)],[f405,f601,f918,f920,f3280,f3801,f3900])).
% 0.15/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.52 % Elapsed time: 0.206118 seconds
% 0.15/0.52 % CPU time: 1.032479 seconds
% 0.15/0.52 % Memory used: 72.451 MB
%------------------------------------------------------------------------------