TSTP Solution File: RNG091+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG091+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:37:57 EDT 2024
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG091+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 22:42:02 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.45 fof(f22,definition,(
% 0.19/0.45 (! [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 ) )) )) ) )) )),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f24,definition,(
% 0.19/0.45 (! [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) ) )) ) )) ) )),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f25,hypothesis,(
% 0.19/0.45 ( aIdeal0(xI)& aIdeal0(xJ) ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f29,hypothesis,(
% 0.19/0.45 ( aElementOf0(sdtpldt0(xk,xm),xI)& aElementOf0(sdtpldt0(xl,xn),xJ) ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f30,hypothesis,(
% 0.19/0.45 ( aElementOf0(sdtasdt0(xz,xk),xI)& aElementOf0(sdtasdt0(xz,xl),xJ) ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f31,hypothesis,(
% 0.19/0.45 sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f32,hypothesis,(
% 0.19/0.45 sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f33,conjecture,(
% 0.19/0.45 ( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))& aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f34,negated_conjecture,(
% 0.19/0.45 ~(( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))& aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ) )),
% 0.19/0.45 inference(negated_conjecture,[status(cth)],[f33])).
% 0.19/0.45 fof(f86,plain,(
% 0.19/0.45 ![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))))))))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.19/0.45 fof(f87,plain,(
% 0.19/0.45 ![W0,W1,W3,W4,W5]: (pd0_1(W5,W4,W3,W1,W0)<=>((aElementOf0(W4,W0)&aElementOf0(W5,W1))&sdtpldt0(W4,W5)=W3))),
% 0.19/0.45 introduced(predicate_definition,[f86])).
% 0.19/0.45 fof(f88,plain,(
% 0.19/0.45 ![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))))))))),
% 0.19/0.45 inference(formula_renaming,[status(thm)],[f86,f87])).
% 0.19/0.45 fof(f89,plain,(
% 0.19/0.45 ![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))))))))))),
% 0.19/0.45 inference(NNF_transformation,[status(esa)],[f88])).
% 0.19/0.45 fof(f90,plain,(
% 0.19/0.45 ![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))))))))))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f89])).
% 0.19/0.45 fof(f91,plain,(
% 0.19/0.45 ![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))))))))),
% 0.19/0.45 inference(skolemization,[status(esa)],[f90])).
% 0.19/0.45 fof(f94,plain,(
% 0.19/0.45 ![X0,X1,X2,X3,X4,X5]: (~aSet0(X0)|~aSet0(X1)|~X2=sdtpldt1(X0,X1)|aElementOf0(X3,X2)|~pd0_1(X4,X5,X3,X1,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f91])).
% 0.19/0.45 fof(f108,plain,(
% 0.19/0.45 ![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))))))))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.19/0.46 fof(f109,plain,(
% 0.19/0.46 ![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)))))))))),
% 0.19/0.46 inference(NNF_transformation,[status(esa)],[f108])).
% 0.19/0.46 fof(f110,plain,(
% 0.19/0.46 (![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)))))))))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f109])).
% 0.19/0.46 fof(f111,plain,(
% 0.19/0.46 (![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)))))))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f110])).
% 0.19/0.46 fof(f112,plain,(
% 0.19/0.46 ![X0]: (~aIdeal0(X0)|aSet0(X0))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f111])).
% 0.19/0.46 fof(f120,plain,(
% 0.19/0.46 aIdeal0(xI)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.46 fof(f121,plain,(
% 0.19/0.46 aIdeal0(xJ)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.46 fof(f131,plain,(
% 0.19/0.46 aElementOf0(sdtpldt0(xk,xm),xI)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.46 fof(f132,plain,(
% 0.19/0.46 aElementOf0(sdtpldt0(xl,xn),xJ)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.46 fof(f133,plain,(
% 0.19/0.46 aElementOf0(sdtasdt0(xz,xk),xI)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f30])).
% 0.19/0.46 fof(f134,plain,(
% 0.19/0.46 aElementOf0(sdtasdt0(xz,xl),xJ)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f30])).
% 0.19/0.46 fof(f135,plain,(
% 0.19/0.46 sdtpldt0(xx,xy)=sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f31])).
% 0.19/0.46 fof(f136,plain,(
% 0.19/0.46 sdtasdt0(xz,xx)=sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.46 fof(f137,plain,(
% 0.19/0.46 (~aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))|~aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.19/0.46 fof(f138,plain,(
% 0.19/0.46 ~aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))|~aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f137])).
% 0.19/0.46 fof(f142,plain,(
% 0.19/0.46 ![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)))),
% 0.19/0.46 inference(NNF_transformation,[status(esa)],[f87])).
% 0.19/0.46 fof(f143,plain,(
% 0.19/0.46 (![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)))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f142])).
% 0.19/0.46 fof(f147,plain,(
% 0.19/0.46 ![X0,X1,X2,X3,X4]: (pd0_1(X0,X1,X2,X3,X4)|~aElementOf0(X1,X4)|~aElementOf0(X0,X3)|~sdtpldt0(X1,X0)=X2)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f143])).
% 0.19/0.46 fof(f148,plain,(
% 0.19/0.46 spl0_0 <=> aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f150,plain,(
% 0.19/0.46 ~aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))|spl0_0),
% 0.19/0.46 inference(component_clause,[status(thm)],[f148])).
% 0.19/0.46 fof(f151,plain,(
% 0.19/0.46 spl0_1 <=> aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f153,plain,(
% 0.19/0.46 ~aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))|spl0_1),
% 0.19/0.46 inference(component_clause,[status(thm)],[f151])).
% 0.19/0.46 fof(f154,plain,(
% 0.19/0.46 ~spl0_0|~spl0_1),
% 0.19/0.46 inference(split_clause,[status(thm)],[f138,f148,f151])).
% 0.19/0.46 fof(f157,plain,(
% 0.19/0.46 ![X0,X1,X2,X3,X4]: (~aSet0(X0)|~aSet0(X1)|aElementOf0(X2,sdtpldt1(X0,X1))|~pd0_1(X3,X4,X2,X1,X0))),
% 0.19/0.46 inference(destructive_equality_resolution,[status(esa)],[f94])).
% 0.19/0.46 fof(f162,plain,(
% 0.19/0.46 ![X0,X1,X2,X3]: (pd0_1(X0,X1,sdtpldt0(X1,X0),X2,X3)|~aElementOf0(X1,X3)|~aElementOf0(X0,X2))),
% 0.19/0.46 inference(destructive_equality_resolution,[status(esa)],[f147])).
% 0.19/0.46 fof(f307,plain,(
% 0.19/0.46 ![X0,X1]: (pd0_1(sdtasdt0(xz,xl),sdtasdt0(xz,xk),sdtasdt0(xz,xx),X0,X1)|~aElementOf0(sdtasdt0(xz,xk),X1)|~aElementOf0(sdtasdt0(xz,xl),X0))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f136,f162])).
% 0.19/0.46 fof(f308,plain,(
% 0.19/0.46 ![X0,X1]: (pd0_1(sdtpldt0(xl,xn),sdtpldt0(xk,xm),sdtpldt0(xx,xy),X0,X1)|~aElementOf0(sdtpldt0(xk,xm),X1)|~aElementOf0(sdtpldt0(xl,xn),X0))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f135,f162])).
% 0.19/0.46 fof(f510,plain,(
% 0.19/0.46 spl0_61 <=> aSet0(xI)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f512,plain,(
% 0.19/0.46 ~aSet0(xI)|spl0_61),
% 0.19/0.46 inference(component_clause,[status(thm)],[f510])).
% 0.19/0.46 fof(f513,plain,(
% 0.19/0.46 spl0_62 <=> aSet0(xJ)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f515,plain,(
% 0.19/0.46 ~aSet0(xJ)|spl0_62),
% 0.19/0.46 inference(component_clause,[status(thm)],[f513])).
% 0.19/0.46 fof(f518,plain,(
% 0.19/0.46 ~aIdeal0(xJ)|spl0_62),
% 0.19/0.46 inference(resolution,[status(thm)],[f515,f112])).
% 0.19/0.46 fof(f519,plain,(
% 0.19/0.46 $false|spl0_62),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f518,f121])).
% 0.19/0.46 fof(f520,plain,(
% 0.19/0.46 spl0_62),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f519])).
% 0.19/0.46 fof(f521,plain,(
% 0.19/0.46 ~aIdeal0(xI)|spl0_61),
% 0.19/0.46 inference(resolution,[status(thm)],[f512,f112])).
% 0.19/0.46 fof(f522,plain,(
% 0.19/0.46 $false|spl0_61),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f521,f120])).
% 0.19/0.46 fof(f523,plain,(
% 0.19/0.46 spl0_61),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f522])).
% 0.19/0.46 fof(f628,plain,(
% 0.19/0.46 spl0_82 <=> ~pd0_1(X0,X1,sdtasdt0(xz,xx),xJ,xI)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f629,plain,(
% 0.19/0.46 ![X0,X1]: (~pd0_1(X0,X1,sdtasdt0(xz,xx),xJ,xI)|~spl0_82)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f628])).
% 0.19/0.46 fof(f631,plain,(
% 0.19/0.46 ![X0,X1]: (~aSet0(xI)|~aSet0(xJ)|~pd0_1(X0,X1,sdtasdt0(xz,xx),xJ,xI)|spl0_1)),
% 0.19/0.46 inference(resolution,[status(thm)],[f157,f153])).
% 0.19/0.46 fof(f632,plain,(
% 0.19/0.46 ~spl0_61|~spl0_62|spl0_82|spl0_1),
% 0.19/0.46 inference(split_clause,[status(thm)],[f631,f510,f513,f628,f151])).
% 0.19/0.46 fof(f633,plain,(
% 0.19/0.46 spl0_83 <=> aElementOf0(sdtasdt0(xz,xk),xI)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f635,plain,(
% 0.19/0.46 ~aElementOf0(sdtasdt0(xz,xk),xI)|spl0_83),
% 0.19/0.46 inference(component_clause,[status(thm)],[f633])).
% 0.19/0.46 fof(f636,plain,(
% 0.19/0.46 spl0_84 <=> aElementOf0(sdtasdt0(xz,xl),xJ)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f638,plain,(
% 0.19/0.46 ~aElementOf0(sdtasdt0(xz,xl),xJ)|spl0_84),
% 0.19/0.46 inference(component_clause,[status(thm)],[f636])).
% 0.19/0.46 fof(f639,plain,(
% 0.19/0.46 ~aElementOf0(sdtasdt0(xz,xk),xI)|~aElementOf0(sdtasdt0(xz,xl),xJ)|~spl0_82),
% 0.19/0.46 inference(resolution,[status(thm)],[f629,f307])).
% 0.19/0.46 fof(f640,plain,(
% 0.19/0.46 ~spl0_83|~spl0_84|~spl0_82),
% 0.19/0.46 inference(split_clause,[status(thm)],[f639,f633,f636,f628])).
% 0.19/0.46 fof(f641,plain,(
% 0.19/0.46 $false|spl0_83),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f635,f133])).
% 0.19/0.46 fof(f642,plain,(
% 0.19/0.46 spl0_83),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f641])).
% 0.19/0.46 fof(f643,plain,(
% 0.19/0.46 $false|spl0_84),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f638,f134])).
% 0.19/0.46 fof(f644,plain,(
% 0.19/0.46 spl0_84),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f643])).
% 0.19/0.46 fof(f651,plain,(
% 0.19/0.46 spl0_85 <=> ~pd0_1(X0,X1,sdtpldt0(xx,xy),xJ,xI)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f652,plain,(
% 0.19/0.46 ![X0,X1]: (~pd0_1(X0,X1,sdtpldt0(xx,xy),xJ,xI)|~spl0_85)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f651])).
% 0.19/0.46 fof(f654,plain,(
% 0.19/0.46 ![X0,X1]: (~aSet0(xI)|~aSet0(xJ)|~pd0_1(X0,X1,sdtpldt0(xx,xy),xJ,xI)|spl0_0)),
% 0.19/0.46 inference(resolution,[status(thm)],[f150,f157])).
% 0.19/0.46 fof(f655,plain,(
% 0.19/0.46 ~spl0_61|~spl0_62|spl0_85|spl0_0),
% 0.19/0.46 inference(split_clause,[status(thm)],[f654,f510,f513,f651,f148])).
% 0.19/0.46 fof(f674,plain,(
% 0.19/0.46 spl0_89 <=> aElementOf0(sdtpldt0(xk,xm),xI)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f676,plain,(
% 0.19/0.46 ~aElementOf0(sdtpldt0(xk,xm),xI)|spl0_89),
% 0.19/0.46 inference(component_clause,[status(thm)],[f674])).
% 0.19/0.46 fof(f677,plain,(
% 0.19/0.46 spl0_90 <=> aElementOf0(sdtpldt0(xl,xn),xJ)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f679,plain,(
% 0.19/0.46 ~aElementOf0(sdtpldt0(xl,xn),xJ)|spl0_90),
% 0.19/0.46 inference(component_clause,[status(thm)],[f677])).
% 0.19/0.46 fof(f680,plain,(
% 0.19/0.46 ~aElementOf0(sdtpldt0(xk,xm),xI)|~aElementOf0(sdtpldt0(xl,xn),xJ)|~spl0_85),
% 0.19/0.46 inference(resolution,[status(thm)],[f652,f308])).
% 0.19/0.46 fof(f681,plain,(
% 0.19/0.46 ~spl0_89|~spl0_90|~spl0_85),
% 0.19/0.46 inference(split_clause,[status(thm)],[f680,f674,f677,f651])).
% 0.19/0.46 fof(f692,plain,(
% 0.19/0.46 $false|spl0_89),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f676,f131])).
% 0.19/0.46 fof(f693,plain,(
% 0.19/0.46 spl0_89),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f692])).
% 0.19/0.46 fof(f694,plain,(
% 0.19/0.46 $false|spl0_90),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f679,f132])).
% 0.19/0.46 fof(f695,plain,(
% 0.19/0.46 spl0_90),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f694])).
% 0.19/0.46 fof(f696,plain,(
% 0.19/0.46 $false),
% 0.19/0.46 inference(sat_refutation,[status(thm)],[f154,f520,f523,f632,f640,f642,f644,f655,f681,f693,f695])).
% 0.19/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.47 % Elapsed time: 0.132047 seconds
% 0.19/0.47 % CPU time: 0.925753 seconds
% 0.19/0.47 % Total memory used: 73.427 MB
% 0.19/0.47 % Net memory used: 72.463 MB
%------------------------------------------------------------------------------