TSTP Solution File: RNG095+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG095+1 : 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 12:32:53 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.32 % Computer : n019.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 30 10:37:10 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f3,axiom,(
% 0.13/0.37 aElement0(sz10) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f22,definition,(
% 0.13/0.37 (! [W0,W1] :( ( aSet0(W0)& aSet0(W1) )=> (! [W2] :( W2 = sdtpldt1(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> (? [W4,W5] :( aElementOf0(W4,W0)& aElementOf0(W5,W1)& sdtpldt0(W4,W5) = W3 ) )) )) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f24,definition,(
% 0.13/0.37 (! [W0] :( aIdeal0(W0)<=> ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> ( (! [W2] :( aElementOf0(W2,W0)=> aElementOf0(sdtpldt0(W1,W2),W0) ))& (! [W2] :( aElement0(W2)=> aElementOf0(sdtasdt0(W2,W1),W0) ) )) ) )) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f28,hypothesis,(
% 0.13/0.37 ( aIdeal0(xI)& aIdeal0(xJ) ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f29,hypothesis,(
% 0.13/0.37 (! [W0] :( aElement0(W0)=> aElementOf0(W0,sdtpldt1(xI,xJ)) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f31,conjecture,(
% 0.13/0.37 (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = sz10 ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f32,negated_conjecture,(
% 0.13/0.37 ~((? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = sz10 ) ))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f31])).
% 0.13/0.37 fof(f37,plain,(
% 0.13/0.37 aElement0(sz10)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.37 fof(f84,plain,(
% 0.13/0.37 ![W0,W1]: ((~aSet0(W0)|~aSet0(W1))|(![W2]: (W2=sdtpldt1(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(?[W4,W5]: ((aElementOf0(W4,W0)&aElementOf0(W5,W1))&sdtpldt0(W4,W5)=W3))))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.13/0.37 fof(f85,plain,(
% 0.13/0.37 ![W0,W1,W3,W4,W5]: (pd0_1(W5,W4,W3,W1,W0)<=>((aElementOf0(W4,W0)&aElementOf0(W5,W1))&sdtpldt0(W4,W5)=W3))),
% 0.13/0.37 introduced(predicate_definition,[f84])).
% 0.13/0.37 fof(f86,plain,(
% 0.13/0.37 ![W0,W1]: ((~aSet0(W0)|~aSet0(W1))|(![W2]: (W2=sdtpldt1(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(?[W4,W5]: pd0_1(W5,W4,W3,W1,W0))))))))),
% 0.13/0.37 inference(formula_renaming,[status(thm)],[f84,f85])).
% 0.13/0.37 fof(f87,plain,(
% 0.13/0.37 ![W0,W1]: ((~aSet0(W0)|~aSet0(W1))|(![W2]: ((~W2=sdtpldt1(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(?[W4,W5]: pd0_1(W5,W4,W3,W1,W0)))&(aElementOf0(W3,W2)|(![W4,W5]: ~pd0_1(W5,W4,W3,W1,W0)))))))&(W2=sdtpldt1(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4,W5]: ~pd0_1(W5,W4,W3,W1,W0)))&(aElementOf0(W3,W2)|(?[W4,W5]: pd0_1(W5,W4,W3,W1,W0))))))))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f86])).
% 0.13/0.37 fof(f88,plain,(
% 0.13/0.37 ![W0,W1]: ((~aSet0(W0)|~aSet0(W1))|((![W2]: (~W2=sdtpldt1(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(?[W4,W5]: pd0_1(W5,W4,W3,W1,W0))))&(![W3]: (aElementOf0(W3,W2)|(![W4,W5]: ~pd0_1(W5,W4,W3,W1,W0))))))))&(![W2]: (W2=sdtpldt1(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(![W4,W5]: ~pd0_1(W5,W4,W3,W1,W0)))&(aElementOf0(W3,W2)|(?[W4,W5]: pd0_1(W5,W4,W3,W1,W0))))))))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f87])).
% 0.13/0.37 fof(f89,plain,(
% 0.13/0.37 ![W0,W1]: ((~aSet0(W0)|~aSet0(W1))|((![W2]: (~W2=sdtpldt1(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|pd0_1(sk0_3(W3,W2,W1,W0),sk0_2(W3,W2,W1,W0),W3,W1,W0)))&(![W3]: (aElementOf0(W3,W2)|(![W4,W5]: ~pd0_1(W5,W4,W3,W1,W0))))))))&(![W2]: (W2=sdtpldt1(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_4(W2,W1,W0),W2)|(![W4,W5]: ~pd0_1(W5,W4,sk0_4(W2,W1,W0),W1,W0)))&(aElementOf0(sk0_4(W2,W1,W0),W2)|pd0_1(sk0_6(W2,W1,W0),sk0_5(W2,W1,W0),sk0_4(W2,W1,W0),W1,W0))))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f88])).
% 0.13/0.37 fof(f91,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~aSet0(X0)|~aSet0(X1)|~X2=sdtpldt1(X0,X1)|~aElementOf0(X3,X2)|pd0_1(sk0_3(X3,X2,X1,X0),sk0_2(X3,X2,X1,X0),X3,X1,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f89])).
% 0.13/0.37 fof(f106,plain,(
% 0.13/0.37 ![W0]: (aIdeal0(W0)<=>(aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|((![W2]: (~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]: (~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0))))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.13/0.37 fof(f107,plain,(
% 0.13/0.37 ![W0]: ((~aIdeal0(W0)|(aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|((![W2]: (~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]: (~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0))))))))&(aIdeal0(W0)|(~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&((?[W2]: (aElementOf0(W2,W0)&~aElementOf0(sdtpldt0(W1,W2),W0)))|(?[W2]: (aElement0(W2)&~aElementOf0(sdtasdt0(W2,W1),W0)))))))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f106])).
% 0.13/0.37 fof(f108,plain,(
% 0.13/0.37 (![W0]: (~aIdeal0(W0)|(aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|((![W2]: (~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]: (~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0)))))))))&(![W0]: (aIdeal0(W0)|(~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&((?[W2]: (aElementOf0(W2,W0)&~aElementOf0(sdtpldt0(W1,W2),W0)))|(?[W2]: (aElement0(W2)&~aElementOf0(sdtasdt0(W2,W1),W0)))))))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f107])).
% 0.13/0.37 fof(f109,plain,(
% 0.13/0.37 (![W0]: (~aIdeal0(W0)|(aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|((![W2]: (~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]: (~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0)))))))))&(![W0]: (aIdeal0(W0)|(~aSet0(W0)|(aElementOf0(sk0_8(W0),W0)&((aElementOf0(sk0_9(W0),W0)&~aElementOf0(sdtpldt0(sk0_8(W0),sk0_9(W0)),W0))|(aElement0(sk0_10(W0))&~aElementOf0(sdtasdt0(sk0_10(W0),sk0_8(W0)),W0)))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f108])).
% 0.13/0.37 fof(f110,plain,(
% 0.13/0.37 ![X0]: (~aIdeal0(X0)|aSet0(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f109])).
% 0.13/0.37 fof(f126,plain,(
% 0.13/0.37 aIdeal0(xI)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.37 fof(f127,plain,(
% 0.13/0.37 aIdeal0(xJ)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.37 fof(f128,plain,(
% 0.13/0.37 ![W0]: (~aElement0(W0)|aElementOf0(W0,sdtpldt1(xI,xJ)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.13/0.37 fof(f129,plain,(
% 0.13/0.37 ![X0]: (~aElement0(X0)|aElementOf0(X0,sdtpldt1(xI,xJ)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f128])).
% 0.13/0.37 fof(f132,plain,(
% 0.13/0.37 (![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~sdtpldt0(W0,W1)=sz10))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.13/0.37 fof(f133,plain,(
% 0.13/0.37 ![X0,X1]: (~aElementOf0(X0,xI)|~aElementOf0(X1,xJ)|~sdtpldt0(X0,X1)=sz10)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f132])).
% 0.13/0.37 fof(f137,plain,(
% 0.13/0.37 ![W0,W1,W3,W4,W5]: ((~pd0_1(W5,W4,W3,W1,W0)|((aElementOf0(W4,W0)&aElementOf0(W5,W1))&sdtpldt0(W4,W5)=W3))&(pd0_1(W5,W4,W3,W1,W0)|((~aElementOf0(W4,W0)|~aElementOf0(W5,W1))|~sdtpldt0(W4,W5)=W3)))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f85])).
% 0.13/0.37 fof(f138,plain,(
% 0.13/0.37 (![W0,W1,W3,W4,W5]: (~pd0_1(W5,W4,W3,W1,W0)|((aElementOf0(W4,W0)&aElementOf0(W5,W1))&sdtpldt0(W4,W5)=W3)))&(![W0,W1,W3,W4,W5]: (pd0_1(W5,W4,W3,W1,W0)|((~aElementOf0(W4,W0)|~aElementOf0(W5,W1))|~sdtpldt0(W4,W5)=W3)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f137])).
% 0.13/0.37 fof(f139,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (~pd0_1(X0,X1,X2,X3,X4)|aElementOf0(X1,X4))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f138])).
% 0.13/0.37 fof(f140,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (~pd0_1(X0,X1,X2,X3,X4)|aElementOf0(X0,X3))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f138])).
% 0.13/0.37 fof(f141,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (~pd0_1(X0,X1,X2,X3,X4)|sdtpldt0(X1,X0)=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f138])).
% 0.13/0.37 fof(f144,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aElementOf0(X2,sdtpldt1(X0,X1))|pd0_1(sk0_3(X2,sdtpldt1(X0,X1),X1,X0),sk0_2(X2,sdtpldt1(X0,X1),X1,X0),X2,X1,X0))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f91])).
% 0.13/0.37 fof(f151,plain,(
% 0.13/0.37 aSet0(xJ)),
% 0.13/0.37 inference(resolution,[status(thm)],[f110,f127])).
% 0.13/0.37 fof(f152,plain,(
% 0.13/0.37 aSet0(xI)),
% 0.13/0.37 inference(resolution,[status(thm)],[f110,f126])).
% 0.13/0.37 fof(f161,plain,(
% 0.13/0.37 spl0_2 <=> aSet0(xI)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f163,plain,(
% 0.13/0.37 ~aSet0(xI)|spl0_2),
% 0.13/0.37 inference(component_clause,[status(thm)],[f161])).
% 0.13/0.37 fof(f164,plain,(
% 0.13/0.37 spl0_3 <=> aSet0(xJ)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f166,plain,(
% 0.13/0.37 ~aSet0(xJ)|spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f164])).
% 0.13/0.37 fof(f169,plain,(
% 0.13/0.37 $false|spl0_3),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f166,f151])).
% 0.13/0.37 fof(f170,plain,(
% 0.13/0.37 spl0_3),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f169])).
% 0.13/0.38 fof(f171,plain,(
% 0.13/0.38 $false|spl0_2),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f163,f152])).
% 0.13/0.38 fof(f172,plain,(
% 0.13/0.38 spl0_2),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f171])).
% 0.13/0.38 fof(f231,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aElementOf0(X2,sdtpldt1(X0,X1))|aElementOf0(sk0_2(X2,sdtpldt1(X0,X1),X1,X0),X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f144,f139])).
% 0.13/0.38 fof(f232,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aElementOf0(X2,sdtpldt1(X0,X1))|aElementOf0(sk0_3(X2,sdtpldt1(X0,X1),X1,X0),X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f144,f140])).
% 0.13/0.38 fof(f262,plain,(
% 0.13/0.38 ![X0,X1,X2]: (sdtpldt0(sk0_2(X0,sdtpldt1(X1,X2),X2,X1),sk0_3(X0,sdtpldt1(X1,X2),X2,X1))=X0|~aSet0(X1)|~aSet0(X2)|~aElementOf0(X0,sdtpldt1(X1,X2)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f141,f144])).
% 0.13/0.38 fof(f263,plain,(
% 0.13/0.38 ![X0,X1]: (~aSet0(X0)|~aSet0(X1)|~aElementOf0(sz10,sdtpldt1(X0,X1))|~aElementOf0(sk0_2(sz10,sdtpldt1(X0,X1),X1,X0),xI)|~aElementOf0(sk0_3(sz10,sdtpldt1(X0,X1),X1,X0),xJ))),
% 0.13/0.38 inference(resolution,[status(thm)],[f262,f133])).
% 0.13/0.38 fof(f264,plain,(
% 0.13/0.38 spl0_11 <=> ~aSet0(X0)|~aElementOf0(sz10,sdtpldt1(X0,xJ))|~aElementOf0(sk0_2(sz10,sdtpldt1(X0,xJ),xJ,X0),xI)|~aSet0(X0)|~aElementOf0(sz10,sdtpldt1(X0,xJ))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f265,plain,(
% 0.13/0.38 ![X0]: (~aSet0(X0)|~aElementOf0(sz10,sdtpldt1(X0,xJ))|~aElementOf0(sk0_2(sz10,sdtpldt1(X0,xJ),xJ,X0),xI)|~aSet0(X0)|~aElementOf0(sz10,sdtpldt1(X0,xJ))|~spl0_11)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f264])).
% 0.13/0.38 fof(f267,plain,(
% 0.13/0.38 ![X0]: (~aSet0(X0)|~aSet0(xJ)|~aElementOf0(sz10,sdtpldt1(X0,xJ))|~aElementOf0(sk0_2(sz10,sdtpldt1(X0,xJ),xJ,X0),xI)|~aSet0(X0)|~aSet0(xJ)|~aElementOf0(sz10,sdtpldt1(X0,xJ)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f263,f232])).
% 0.13/0.38 fof(f268,plain,(
% 0.13/0.38 spl0_11|~spl0_3),
% 0.13/0.38 inference(split_clause,[status(thm)],[f267,f264,f164])).
% 0.13/0.38 fof(f269,plain,(
% 0.13/0.38 ![X0]: (~aSet0(X0)|~aElementOf0(sz10,sdtpldt1(X0,xJ))|~aElementOf0(sk0_2(sz10,sdtpldt1(X0,xJ),xJ,X0),xI)|~spl0_11)),
% 0.13/0.38 inference(duplicate_literals_removal,[status(esa)],[f265])).
% 0.13/0.38 fof(f280,plain,(
% 0.13/0.38 spl0_14 <=> aElementOf0(sz10,sdtpldt1(xI,xJ))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f282,plain,(
% 0.13/0.38 ~aElementOf0(sz10,sdtpldt1(xI,xJ))|spl0_14),
% 0.13/0.38 inference(component_clause,[status(thm)],[f280])).
% 0.13/0.38 fof(f283,plain,(
% 0.13/0.38 ~aSet0(xI)|~aElementOf0(sz10,sdtpldt1(xI,xJ))|~aSet0(xI)|~aSet0(xJ)|~aElementOf0(sz10,sdtpldt1(xI,xJ))|~spl0_11),
% 0.13/0.38 inference(resolution,[status(thm)],[f269,f231])).
% 0.13/0.38 fof(f284,plain,(
% 0.13/0.38 ~spl0_2|~spl0_14|~spl0_3|~spl0_11),
% 0.13/0.38 inference(split_clause,[status(thm)],[f283,f161,f280,f164,f264])).
% 0.13/0.38 fof(f287,plain,(
% 0.13/0.38 ~aElement0(sz10)|spl0_14),
% 0.13/0.38 inference(resolution,[status(thm)],[f282,f129])).
% 0.13/0.38 fof(f288,plain,(
% 0.13/0.38 $false|spl0_14),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f287,f37])).
% 0.13/0.38 fof(f289,plain,(
% 0.13/0.38 spl0_14),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f288])).
% 0.13/0.38 fof(f290,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f170,f172,f268,f284,f289])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.39 % Elapsed time: 0.056168 seconds
% 0.18/0.39 % CPU time: 0.277912 seconds
% 0.18/0.39 % Memory used: 28.700 MB
%------------------------------------------------------------------------------