TSTP Solution File: NUM617+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM617+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:29:57 EDT 2023
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM617+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 09:46:34 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.34 fof(f10,definition,(
% 0.11/0.34 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f23,axiom,(
% 0.11/0.34 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f75,hypothesis,(
% 0.11/0.34 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f98,hypothesis,(
% 0.11/0.34 aSubsetOf0(xO,xS) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f100,hypothesis,(
% 0.11/0.34 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f101,hypothesis,(
% 0.11/0.34 aSubsetOf0(xQ,szNzAzT0) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f107,hypothesis,(
% 0.11/0.34 aSubsetOf0(xP,xQ) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f113,hypothesis,(
% 0.11/0.34 aElementOf0(xx,xP) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f114,conjecture,(
% 0.11/0.34 aElementOf0(xx,szNzAzT0) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f115,negated_conjecture,(
% 0.11/0.34 ~(aElementOf0(xx,szNzAzT0) )),
% 0.11/0.34 inference(negated_conjecture,[status(cth)],[f114])).
% 0.11/0.34 fof(f140,plain,(
% 0.11/0.34 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.11/0.34 fof(f141,plain,(
% 0.11/0.34 ![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))))))))),
% 0.11/0.34 inference(NNF_transformation,[status(esa)],[f140])).
% 0.11/0.34 fof(f142,plain,(
% 0.11/0.34 ![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))))))))),
% 0.11/0.34 inference(miniscoping,[status(esa)],[f141])).
% 0.11/0.34 fof(f143,plain,(
% 0.11/0.34 ![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)))))))),
% 0.11/0.34 inference(skolemization,[status(esa)],[f142])).
% 0.11/0.34 fof(f144,plain,(
% 0.11/0.34 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f143])).
% 0.11/0.34 fof(f145,plain,(
% 0.11/0.34 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f143])).
% 0.11/0.34 fof(f192,plain,(
% 0.11/0.34 aSet0(szNzAzT0)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.11/0.34 fof(f375,plain,(
% 0.11/0.34 aSubsetOf0(xS,szNzAzT0)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f75])).
% 0.11/0.34 fof(f445,plain,(
% 0.11/0.34 aSubsetOf0(xO,xS)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f98])).
% 0.11/0.34 fof(f447,plain,(
% 0.11/0.34 aSubsetOf0(xQ,xO)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f100])).
% 0.11/0.34 fof(f449,plain,(
% 0.11/0.34 aSubsetOf0(xQ,szNzAzT0)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f101])).
% 0.11/0.34 fof(f456,plain,(
% 0.11/0.34 aSubsetOf0(xP,xQ)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f107])).
% 0.11/0.34 fof(f464,plain,(
% 0.11/0.34 aElementOf0(xx,xP)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f113])).
% 0.11/0.34 fof(f465,plain,(
% 0.11/0.34 ~aElementOf0(xx,szNzAzT0)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f115])).
% 0.11/0.34 fof(f533,plain,(
% 0.11/0.34 spl0_4 <=> aSet0(szNzAzT0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f535,plain,(
% 0.11/0.34 ~aSet0(szNzAzT0)|spl0_4),
% 0.11/0.34 inference(component_clause,[status(thm)],[f533])).
% 0.11/0.34 fof(f541,plain,(
% 0.11/0.34 $false|spl0_4),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f535,f192])).
% 0.11/0.34 fof(f542,plain,(
% 0.11/0.34 spl0_4),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f541])).
% 0.11/0.34 fof(f569,plain,(
% 0.11/0.34 spl0_11 <=> aSet0(xS)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f572,plain,(
% 0.11/0.34 ~aSet0(szNzAzT0)|aSet0(xS)),
% 0.11/0.34 inference(resolution,[status(thm)],[f144,f375])).
% 0.11/0.34 fof(f573,plain,(
% 0.11/0.34 ~spl0_4|spl0_11),
% 0.11/0.34 inference(split_clause,[status(thm)],[f572,f533,f569])).
% 0.11/0.35 fof(f576,plain,(
% 0.11/0.35 spl0_12 <=> aSet0(xO)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f579,plain,(
% 0.11/0.35 ~aSet0(xS)|aSet0(xO)),
% 0.11/0.35 inference(resolution,[status(thm)],[f445,f144])).
% 0.11/0.35 fof(f580,plain,(
% 0.11/0.35 ~spl0_11|spl0_12),
% 0.11/0.35 inference(split_clause,[status(thm)],[f579,f569,f576])).
% 0.11/0.35 fof(f581,plain,(
% 0.11/0.35 spl0_13 <=> aSet0(xQ)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f584,plain,(
% 0.11/0.35 ~aSet0(xO)|aSet0(xQ)),
% 0.11/0.35 inference(resolution,[status(thm)],[f447,f144])).
% 0.11/0.35 fof(f585,plain,(
% 0.11/0.35 ~spl0_12|spl0_13),
% 0.11/0.35 inference(split_clause,[status(thm)],[f584,f576,f581])).
% 0.11/0.35 fof(f593,plain,(
% 0.11/0.35 spl0_15 <=> ~aSubsetOf0(X0,szNzAzT0)|~aElementOf0(xx,X0)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f594,plain,(
% 0.11/0.35 ![X0]: (~aSubsetOf0(X0,szNzAzT0)|~aElementOf0(xx,X0)|~spl0_15)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f593])).
% 0.11/0.35 fof(f596,plain,(
% 0.11/0.35 ![X0]: (~aSet0(szNzAzT0)|~aSubsetOf0(X0,szNzAzT0)|~aElementOf0(xx,X0))),
% 0.11/0.35 inference(resolution,[status(thm)],[f145,f465])).
% 0.11/0.35 fof(f597,plain,(
% 0.11/0.35 ~spl0_4|spl0_15),
% 0.11/0.35 inference(split_clause,[status(thm)],[f596,f533,f593])).
% 0.11/0.35 fof(f605,plain,(
% 0.11/0.35 ~aElementOf0(xx,xQ)|~spl0_15),
% 0.11/0.35 inference(resolution,[status(thm)],[f594,f449])).
% 0.11/0.35 fof(f607,plain,(
% 0.11/0.35 spl0_17 <=> ~aSubsetOf0(X0,xQ)|~aElementOf0(xx,X0)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f608,plain,(
% 0.11/0.35 ![X0]: (~aSubsetOf0(X0,xQ)|~aElementOf0(xx,X0)|~spl0_17)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f607])).
% 0.11/0.35 fof(f610,plain,(
% 0.11/0.35 ![X0]: (~aSet0(xQ)|~aSubsetOf0(X0,xQ)|~aElementOf0(xx,X0)|~spl0_15)),
% 0.11/0.35 inference(resolution,[status(thm)],[f605,f145])).
% 0.11/0.35 fof(f611,plain,(
% 0.11/0.35 ~spl0_13|spl0_17|~spl0_15),
% 0.11/0.35 inference(split_clause,[status(thm)],[f610,f581,f607,f593])).
% 0.11/0.35 fof(f625,plain,(
% 0.11/0.35 ~aElementOf0(xx,xP)|~spl0_17),
% 0.11/0.35 inference(resolution,[status(thm)],[f456,f608])).
% 0.11/0.35 fof(f626,plain,(
% 0.11/0.35 $false|~spl0_17),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f625,f464])).
% 0.11/0.35 fof(f627,plain,(
% 0.11/0.35 ~spl0_17),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f626])).
% 0.11/0.35 fof(f628,plain,(
% 0.11/0.35 $false),
% 0.11/0.35 inference(sat_refutation,[status(thm)],[f542,f573,f580,f585,f597,f611,f627])).
% 0.11/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.56 % Elapsed time: 0.022517 seconds
% 0.18/0.56 % CPU time: 0.022425 seconds
% 0.18/0.56 % Memory used: 4.194 MB
%------------------------------------------------------------------------------