TSTP Solution File: RNG106+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:38:01 EDT 2024
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:37:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.41 fof(f38,hypothesis,(
% 0.19/0.41 aElement0(xc) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f39,conjecture,(
% 0.19/0.41 ( (! [W0,W1,W2] :( ( ( (? [W3] :( aElement0(W3)& sdtasdt0(xc,W3) = W0 ))| aElementOf0(W0,slsdtgt0(xc)) )& ( (? [W3] :( aElement0(W3)& sdtasdt0(xc,W3) = W1 ))| aElementOf0(W1,slsdtgt0(xc)) )& aElement0(W2) )=> (? [W3] :( aElement0(W3)& sdtasdt0(xc,W3) = W0& (? [W4] :( aElement0(W4)& sdtasdt0(xc,W4) = W1& sdtpldt0(W0,W1) = sdtasdt0(xc,sdtpldt0(W3,W4))& sdtasdt0(W2,W0) = sdtasdt0(xc,sdtasdt0(W3,W2))& (? [W5] :( aElement0(W5)& sdtasdt0(xc,W5) = sdtpldt0(W0,W1) ))& aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc))& (? [W5] :( aElement0(W5)& sdtasdt0(xc,W5) = sdtasdt0(W2,W0) ))& aElementOf0(sdtasdt0(W2,W0),slsdtgt0(xc)) ) )) )))=> ( ( aSet0(slsdtgt0(xc))& (! [W0] :( aElementOf0(W0,slsdtgt0(xc))<=> (? [W1] :( aElement0(W1)& sdtasdt0(xc,W1) = W0 ) )) ))=> ( (! [W0] :( aElementOf0(W0,slsdtgt0(xc))=> ( (! [W1] :( aElementOf0(W1,slsdtgt0(xc))=> aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc)) ))& (! [W1] :( aElement0(W1)=> aElementOf0(sdtasdt0(W1,W0),slsdtgt0(xc)) ) )) ))| aIdeal0(slsdtgt0(xc)) ) ) ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f40,negated_conjecture,(
% 0.19/0.41 ~(( (! [W0,W1,W2] :( ( ( (? [W3] :( aElement0(W3)& sdtasdt0(xc,W3) = W0 ))| aElementOf0(W0,slsdtgt0(xc)) )& ( (? [W3] :( aElement0(W3)& sdtasdt0(xc,W3) = W1 ))| aElementOf0(W1,slsdtgt0(xc)) )& aElement0(W2) )=> (? [W3] :( aElement0(W3)& sdtasdt0(xc,W3) = W0& (? [W4] :( aElement0(W4)& sdtasdt0(xc,W4) = W1& sdtpldt0(W0,W1) = sdtasdt0(xc,sdtpldt0(W3,W4))& sdtasdt0(W2,W0) = sdtasdt0(xc,sdtasdt0(W3,W2))& (? [W5] :( aElement0(W5)& sdtasdt0(xc,W5) = sdtpldt0(W0,W1) ))& aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc))& (? [W5] :( aElement0(W5)& sdtasdt0(xc,W5) = sdtasdt0(W2,W0) ))& aElementOf0(sdtasdt0(W2,W0),slsdtgt0(xc)) ) )) )))=> ( ( aSet0(slsdtgt0(xc))& (! [W0] :( aElementOf0(W0,slsdtgt0(xc))<=> (? [W1] :( aElement0(W1)& sdtasdt0(xc,W1) = W0 ) )) ))=> ( (! [W0] :( aElementOf0(W0,slsdtgt0(xc))=> ( (! [W1] :( aElementOf0(W1,slsdtgt0(xc))=> aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc)) ))& (! [W1] :( aElement0(W1)=> aElementOf0(sdtasdt0(W1,W0),slsdtgt0(xc)) ) )) ))| aIdeal0(slsdtgt0(xc)) ) ) ) )),
% 0.19/0.41 inference(negated_conjecture,[status(cth)],[f39])).
% 0.19/0.41 fof(f191,plain,(
% 0.19/0.41 aElement0(xc)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f38])).
% 0.19/0.41 fof(f192,plain,(
% 0.19/0.41 ((![W0,W1,W2]: (((((![W3]: (~aElement0(W3)|~sdtasdt0(xc,W3)=W0))&~aElementOf0(W0,slsdtgt0(xc)))|((![W3]: (~aElement0(W3)|~sdtasdt0(xc,W3)=W1))&~aElementOf0(W1,slsdtgt0(xc))))|~aElement0(W2))|(?[W3]: ((aElement0(W3)&sdtasdt0(xc,W3)=W0)&(?[W4]: (((((((aElement0(W4)&sdtasdt0(xc,W4)=W1)&sdtpldt0(W0,W1)=sdtasdt0(xc,sdtpldt0(W3,W4)))&sdtasdt0(W2,W0)=sdtasdt0(xc,sdtasdt0(W3,W2)))&(?[W5]: (aElement0(W5)&sdtasdt0(xc,W5)=sdtpldt0(W0,W1))))&aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc)))&(?[W5]: (aElement0(W5)&sdtasdt0(xc,W5)=sdtasdt0(W2,W0))))&aElementOf0(sdtasdt0(W2,W0),slsdtgt0(xc))))))))&((aSet0(slsdtgt0(xc))&(![W0]: (aElementOf0(W0,slsdtgt0(xc))<=>(?[W1]: (aElement0(W1)&sdtasdt0(xc,W1)=W0)))))&((?[W0]: (aElementOf0(W0,slsdtgt0(xc))&((?[W1]: (aElementOf0(W1,slsdtgt0(xc))&~aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc))))|(?[W1]: (aElement0(W1)&~aElementOf0(sdtasdt0(W1,W0),slsdtgt0(xc)))))))&~aIdeal0(slsdtgt0(xc)))))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.19/0.41 fof(f193,plain,(
% 0.19/0.41 ![W0,W1,W2]: (pd0_3(W2,W1,W0)=>((((![W3]: (~aElement0(W3)|~sdtasdt0(xc,W3)=W0))&~aElementOf0(W0,slsdtgt0(xc)))|((![W3]: (~aElement0(W3)|~sdtasdt0(xc,W3)=W1))&~aElementOf0(W1,slsdtgt0(xc))))|~aElement0(W2)))),
% 0.19/0.41 introduced(predicate_definition,[f192])).
% 0.19/0.41 fof(f194,plain,(
% 0.19/0.41 ![W0,W1]: (pd0_4(W1,W0)=>(aElementOf0(W1,slsdtgt0(xc))&~aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc))))),
% 0.19/0.41 introduced(predicate_definition,[f192])).
% 0.19/0.41 fof(f195,plain,(
% 0.19/0.41 (![W0,W1,W2]: (pd0_3(W2,W1,W0)|(?[W3]: ((aElement0(W3)&sdtasdt0(xc,W3)=W0)&(?[W4]: (((((((aElement0(W4)&sdtasdt0(xc,W4)=W1)&sdtpldt0(W0,W1)=sdtasdt0(xc,sdtpldt0(W3,W4)))&sdtasdt0(W2,W0)=sdtasdt0(xc,sdtasdt0(W3,W2)))&(?[W5]: (aElement0(W5)&sdtasdt0(xc,W5)=sdtpldt0(W0,W1))))&aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc)))&(?[W5]: (aElement0(W5)&sdtasdt0(xc,W5)=sdtasdt0(W2,W0))))&aElementOf0(sdtasdt0(W2,W0),slsdtgt0(xc))))))))&((aSet0(slsdtgt0(xc))&(![W0]: (aElementOf0(W0,slsdtgt0(xc))<=>(?[W1]: (aElement0(W1)&sdtasdt0(xc,W1)=W0)))))&((?[W0]: (aElementOf0(W0,slsdtgt0(xc))&((?[W1]: pd0_4(W1,W0))|(?[W1]: (aElement0(W1)&~aElementOf0(sdtasdt0(W1,W0),slsdtgt0(xc)))))))&~aIdeal0(slsdtgt0(xc))))),
% 0.19/0.41 inference(formula_renaming,[status(thm)],[f192,f194,f193])).
% 0.19/0.41 fof(f196,plain,(
% 0.19/0.41 (![W0,W1,W2]: (pd0_3(W2,W1,W0)|(?[W3]: ((aElement0(W3)&sdtasdt0(xc,W3)=W0)&(?[W4]: (((((((aElement0(W4)&sdtasdt0(xc,W4)=W1)&sdtpldt0(W0,W1)=sdtasdt0(xc,sdtpldt0(W3,W4)))&sdtasdt0(W2,W0)=sdtasdt0(xc,sdtasdt0(W3,W2)))&(?[W5]: (aElement0(W5)&sdtasdt0(xc,W5)=sdtpldt0(W0,W1))))&aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc)))&(?[W5]: (aElement0(W5)&sdtasdt0(xc,W5)=sdtasdt0(W2,W0))))&aElementOf0(sdtasdt0(W2,W0),slsdtgt0(xc))))))))&((aSet0(slsdtgt0(xc))&(![W0]: ((~aElementOf0(W0,slsdtgt0(xc))|(?[W1]: (aElement0(W1)&sdtasdt0(xc,W1)=W0)))&(aElementOf0(W0,slsdtgt0(xc))|(![W1]: (~aElement0(W1)|~sdtasdt0(xc,W1)=W0))))))&((?[W0]: (aElementOf0(W0,slsdtgt0(xc))&((?[W1]: pd0_4(W1,W0))|(?[W1]: (aElement0(W1)&~aElementOf0(sdtasdt0(W1,W0),slsdtgt0(xc)))))))&~aIdeal0(slsdtgt0(xc))))),
% 0.19/0.41 inference(NNF_transformation,[status(esa)],[f195])).
% 0.19/0.41 fof(f197,plain,(
% 0.19/0.41 (![W0,W1,W2]: (pd0_3(W2,W1,W0)|(?[W3]: ((aElement0(W3)&sdtasdt0(xc,W3)=W0)&((((((?[W4]: ((aElement0(W4)&sdtasdt0(xc,W4)=W1)&sdtpldt0(W0,W1)=sdtasdt0(xc,sdtpldt0(W3,W4))))&sdtasdt0(W2,W0)=sdtasdt0(xc,sdtasdt0(W3,W2)))&(?[W5]: (aElement0(W5)&sdtasdt0(xc,W5)=sdtpldt0(W0,W1))))&aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc)))&(?[W5]: (aElement0(W5)&sdtasdt0(xc,W5)=sdtasdt0(W2,W0))))&aElementOf0(sdtasdt0(W2,W0),slsdtgt0(xc)))))))&((aSet0(slsdtgt0(xc))&((![W0]: (~aElementOf0(W0,slsdtgt0(xc))|(?[W1]: (aElement0(W1)&sdtasdt0(xc,W1)=W0))))&(![W0]: (aElementOf0(W0,slsdtgt0(xc))|(![W1]: (~aElement0(W1)|~sdtasdt0(xc,W1)=W0))))))&((?[W0]: (aElementOf0(W0,slsdtgt0(xc))&((?[W1]: pd0_4(W1,W0))|(?[W1]: (aElement0(W1)&~aElementOf0(sdtasdt0(W1,W0),slsdtgt0(xc)))))))&~aIdeal0(slsdtgt0(xc))))),
% 0.19/0.41 inference(miniscoping,[status(esa)],[f196])).
% 0.19/0.41 fof(f198,plain,(
% 0.19/0.41 (![W0,W1,W2]: (pd0_3(W2,W1,W0)|((aElement0(sk0_20(W2,W1,W0))&sdtasdt0(xc,sk0_20(W2,W1,W0))=W0)&(((((((aElement0(sk0_21(W2,W1,W0))&sdtasdt0(xc,sk0_21(W2,W1,W0))=W1)&sdtpldt0(W0,W1)=sdtasdt0(xc,sdtpldt0(sk0_20(W2,W1,W0),sk0_21(W2,W1,W0))))&sdtasdt0(W2,W0)=sdtasdt0(xc,sdtasdt0(sk0_20(W2,W1,W0),W2)))&(aElement0(sk0_22(W2,W1,W0))&sdtasdt0(xc,sk0_22(W2,W1,W0))=sdtpldt0(W0,W1)))&aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc)))&(aElement0(sk0_23(W2,W1,W0))&sdtasdt0(xc,sk0_23(W2,W1,W0))=sdtasdt0(W2,W0)))&aElementOf0(sdtasdt0(W2,W0),slsdtgt0(xc))))))&((aSet0(slsdtgt0(xc))&((![W0]: (~aElementOf0(W0,slsdtgt0(xc))|(aElement0(sk0_24(W0))&sdtasdt0(xc,sk0_24(W0))=W0)))&(![W0]: (aElementOf0(W0,slsdtgt0(xc))|(![W1]: (~aElement0(W1)|~sdtasdt0(xc,W1)=W0))))))&((aElementOf0(sk0_25,slsdtgt0(xc))&(pd0_4(sk0_26,sk0_25)|(aElement0(sk0_27)&~aElementOf0(sdtasdt0(sk0_27,sk0_25),slsdtgt0(xc)))))&~aIdeal0(slsdtgt0(xc))))),
% 0.19/0.41 inference(skolemization,[status(esa)],[f197])).
% 0.19/0.41 fof(f207,plain,(
% 0.19/0.41 ![X0,X1,X2]: (pd0_3(X0,X1,X2)|aElementOf0(sdtpldt0(X2,X1),slsdtgt0(xc)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.41 fof(f210,plain,(
% 0.19/0.41 ![X0,X1,X2]: (pd0_3(X0,X1,X2)|aElementOf0(sdtasdt0(X0,X2),slsdtgt0(xc)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.41 fof(f211,plain,(
% 0.19/0.41 aSet0(slsdtgt0(xc))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.41 fof(f212,plain,(
% 0.19/0.41 ![X0]: (~aElementOf0(X0,slsdtgt0(xc))|aElement0(sk0_24(X0)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.41 fof(f215,plain,(
% 0.19/0.41 aElementOf0(sk0_25,slsdtgt0(xc))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.41 fof(f216,plain,(
% 0.19/0.41 pd0_4(sk0_26,sk0_25)|aElement0(sk0_27)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.41 fof(f217,plain,(
% 0.19/0.41 pd0_4(sk0_26,sk0_25)|~aElementOf0(sdtasdt0(sk0_27,sk0_25),slsdtgt0(xc))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.41 fof(f232,plain,(
% 0.19/0.41 ![W0,W1,W2]: (~pd0_3(W2,W1,W0)|((((![W3]: (~aElement0(W3)|~sdtasdt0(xc,W3)=W0))&~aElementOf0(W0,slsdtgt0(xc)))|((![W3]: (~aElement0(W3)|~sdtasdt0(xc,W3)=W1))&~aElementOf0(W1,slsdtgt0(xc))))|~aElement0(W2)))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f193])).
% 0.19/0.41 fof(f233,plain,(
% 0.19/0.41 ![W0]: (pd0_5(W0)=>((![W3]: (~aElement0(W3)|~sdtasdt0(xc,W3)=W0))&~aElementOf0(W0,slsdtgt0(xc))))),
% 0.19/0.41 introduced(predicate_definition,[f232])).
% 0.19/0.41 fof(f234,plain,(
% 0.19/0.41 ![W0,W1,W2]: (~pd0_3(W2,W1,W0)|((pd0_5(W0)|((![W3]: (~aElement0(W3)|~sdtasdt0(xc,W3)=W1))&~aElementOf0(W1,slsdtgt0(xc))))|~aElement0(W2)))),
% 0.19/0.41 inference(formula_renaming,[status(thm)],[f232,f233])).
% 0.19/0.41 fof(f235,plain,(
% 0.19/0.41 ![X0,X1,X2,X3]: (~pd0_3(X0,X1,X2)|pd0_5(X2)|~aElement0(X3)|~sdtasdt0(xc,X3)=X1|~aElement0(X0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f234])).
% 0.19/0.41 fof(f236,plain,(
% 0.19/0.41 ![X0,X1,X2]: (~pd0_3(X0,X1,X2)|pd0_5(X2)|~aElementOf0(X1,slsdtgt0(xc))|~aElement0(X0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f234])).
% 0.19/0.41 fof(f237,plain,(
% 0.19/0.41 ![W0,W1]: (~pd0_4(W1,W0)|(aElementOf0(W1,slsdtgt0(xc))&~aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc))))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f194])).
% 0.19/0.41 fof(f238,plain,(
% 0.19/0.41 ![X0,X1]: (~pd0_4(X0,X1)|aElementOf0(X0,slsdtgt0(xc)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f237])).
% 0.19/0.41 fof(f239,plain,(
% 0.19/0.41 ![X0,X1]: (~pd0_4(X0,X1)|~aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f237])).
% 0.19/0.41 fof(f240,plain,(
% 0.19/0.41 ![W0]: (~pd0_5(W0)|((![W3]: (~aElement0(W3)|~sdtasdt0(xc,W3)=W0))&~aElementOf0(W0,slsdtgt0(xc))))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f233])).
% 0.19/0.41 fof(f242,plain,(
% 0.19/0.41 ![X0]: (~pd0_5(X0)|~aElementOf0(X0,slsdtgt0(xc)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f240])).
% 0.19/0.41 fof(f243,plain,(
% 0.19/0.41 spl0_0 <=> pd0_4(sk0_26,sk0_25)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f244,plain,(
% 0.19/0.41 pd0_4(sk0_26,sk0_25)|~spl0_0),
% 0.19/0.41 inference(component_clause,[status(thm)],[f243])).
% 0.19/0.41 fof(f246,plain,(
% 0.19/0.41 spl0_1 <=> aElement0(sk0_27)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f249,plain,(
% 0.19/0.41 spl0_0|spl0_1),
% 0.19/0.41 inference(split_clause,[status(thm)],[f216,f243,f246])).
% 0.19/0.41 fof(f250,plain,(
% 0.19/0.41 spl0_2 <=> aElementOf0(sdtasdt0(sk0_27,sk0_25),slsdtgt0(xc))),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f252,plain,(
% 0.19/0.41 ~aElementOf0(sdtasdt0(sk0_27,sk0_25),slsdtgt0(xc))|spl0_2),
% 0.19/0.41 inference(component_clause,[status(thm)],[f250])).
% 0.19/0.41 fof(f253,plain,(
% 0.19/0.41 spl0_0|~spl0_2),
% 0.19/0.41 inference(split_clause,[status(thm)],[f217,f243,f250])).
% 0.19/0.41 fof(f268,plain,(
% 0.19/0.41 ![X0,X1,X2]: (~pd0_3(X0,sdtasdt0(xc,X1),X2)|pd0_5(X2)|~aElement0(X1)|~aElement0(X0))),
% 0.19/0.41 inference(destructive_equality_resolution,[status(esa)],[f235])).
% 0.19/0.41 fof(f271,plain,(
% 0.19/0.41 ~pd0_5(sk0_25)),
% 0.19/0.41 inference(resolution,[status(thm)],[f242,f215])).
% 0.19/0.41 fof(f275,plain,(
% 0.19/0.41 aElement0(sk0_24(sk0_25))),
% 0.19/0.41 inference(resolution,[status(thm)],[f212,f215])).
% 0.19/0.41 fof(f292,plain,(
% 0.19/0.41 ![X0,X1,X2]: (pd0_3(X0,X1,X2)|~pd0_4(X1,X2))),
% 0.19/0.41 inference(resolution,[status(thm)],[f207,f239])).
% 0.19/0.41 fof(f306,plain,(
% 0.19/0.41 ![X0]: (pd0_3(sk0_27,X0,sk0_25)|spl0_2)),
% 0.19/0.41 inference(resolution,[status(thm)],[f210,f252])).
% 0.19/0.41 fof(f330,plain,(
% 0.19/0.41 spl0_3 <=> pd0_5(sk0_25)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f331,plain,(
% 0.19/0.41 pd0_5(sk0_25)|~spl0_3),
% 0.19/0.41 inference(component_clause,[status(thm)],[f330])).
% 0.19/0.41 fof(f333,plain,(
% 0.19/0.41 spl0_4 <=> ~aElement0(X0)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f334,plain,(
% 0.19/0.41 ![X0]: (~aElement0(X0)|~spl0_4)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f333])).
% 0.19/0.41 fof(f336,plain,(
% 0.19/0.41 ![X0]: (pd0_5(sk0_25)|~aElement0(X0)|~aElement0(sk0_27)|spl0_2)),
% 0.19/0.41 inference(resolution,[status(thm)],[f268,f306])).
% 0.19/0.41 fof(f337,plain,(
% 0.19/0.41 spl0_3|spl0_4|~spl0_1|spl0_2),
% 0.19/0.41 inference(split_clause,[status(thm)],[f336,f330,f333,f246,f250])).
% 0.19/0.41 fof(f343,plain,(
% 0.19/0.41 spl0_6 <=> pd0_5(X0)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f344,plain,(
% 0.19/0.41 ![X0]: (pd0_5(X0)|~spl0_6)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f343])).
% 0.19/0.41 fof(f394,plain,(
% 0.19/0.41 $false|~spl0_3),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f331,f271])).
% 0.19/0.41 fof(f395,plain,(
% 0.19/0.41 ~spl0_3),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f394])).
% 0.19/0.42 fof(f396,plain,(
% 0.19/0.42 $false|~spl0_4),
% 0.19/0.42 inference(backward_subsumption_resolution,[status(thm)],[f275,f334])).
% 0.19/0.42 fof(f397,plain,(
% 0.19/0.42 ~spl0_4),
% 0.19/0.42 inference(contradiction_clause,[status(thm)],[f396])).
% 0.19/0.42 fof(f400,plain,(
% 0.19/0.42 spl0_13 <=> pd0_5(X0)|~aElementOf0(X1,slsdtgt0(xc))|~pd0_4(X1,X0)),
% 0.19/0.42 introduced(split_symbol_definition)).
% 0.19/0.42 fof(f401,plain,(
% 0.19/0.42 ![X0,X1]: (pd0_5(X0)|~aElementOf0(X1,slsdtgt0(xc))|~pd0_4(X1,X0)|~spl0_13)),
% 0.19/0.42 inference(component_clause,[status(thm)],[f400])).
% 0.19/0.42 fof(f403,plain,(
% 0.19/0.42 ![X0,X1,X2]: (pd0_5(X0)|~aElementOf0(X1,slsdtgt0(xc))|~aElement0(X2)|~pd0_4(X1,X0))),
% 0.19/0.42 inference(resolution,[status(thm)],[f236,f292])).
% 0.19/0.42 fof(f404,plain,(
% 0.19/0.42 spl0_13|spl0_4),
% 0.19/0.42 inference(split_clause,[status(thm)],[f403,f400,f333])).
% 0.19/0.42 fof(f422,plain,(
% 0.19/0.42 ![X0,X1]: (pd0_5(X0)|~pd0_4(X1,X0)|~spl0_13)),
% 0.19/0.42 inference(forward_subsumption_resolution,[status(thm)],[f401,f238])).
% 0.19/0.42 fof(f452,plain,(
% 0.19/0.42 spl0_17 <=> aSet0(slsdtgt0(xc))),
% 0.19/0.42 introduced(split_symbol_definition)).
% 0.19/0.42 fof(f454,plain,(
% 0.19/0.42 ~aSet0(slsdtgt0(xc))|spl0_17),
% 0.19/0.42 inference(component_clause,[status(thm)],[f452])).
% 0.19/0.42 fof(f480,plain,(
% 0.19/0.42 $false|spl0_17),
% 0.19/0.42 inference(forward_subsumption_resolution,[status(thm)],[f454,f211])).
% 0.19/0.42 fof(f481,plain,(
% 0.19/0.42 spl0_17),
% 0.19/0.42 inference(contradiction_clause,[status(thm)],[f480])).
% 0.19/0.42 fof(f489,plain,(
% 0.19/0.42 spl0_23 <=> aElement0(xc)),
% 0.19/0.42 introduced(split_symbol_definition)).
% 0.19/0.42 fof(f491,plain,(
% 0.19/0.42 ~aElement0(xc)|spl0_23),
% 0.19/0.42 inference(component_clause,[status(thm)],[f489])).
% 0.19/0.42 fof(f522,plain,(
% 0.19/0.42 $false|spl0_23),
% 0.19/0.42 inference(forward_subsumption_resolution,[status(thm)],[f491,f191])).
% 0.19/0.42 fof(f523,plain,(
% 0.19/0.42 spl0_23),
% 0.19/0.42 inference(contradiction_clause,[status(thm)],[f522])).
% 0.19/0.42 fof(f670,plain,(
% 0.19/0.42 $false|~spl0_6),
% 0.19/0.42 inference(backward_subsumption_resolution,[status(thm)],[f271,f344])).
% 0.19/0.42 fof(f671,plain,(
% 0.19/0.42 ~spl0_6),
% 0.19/0.42 inference(contradiction_clause,[status(thm)],[f670])).
% 0.19/0.42 fof(f672,plain,(
% 0.19/0.42 pd0_5(sk0_25)|~spl0_13|~spl0_0),
% 0.19/0.42 inference(resolution,[status(thm)],[f422,f244])).
% 0.19/0.42 fof(f673,plain,(
% 0.19/0.42 spl0_3|~spl0_13|~spl0_0),
% 0.19/0.42 inference(split_clause,[status(thm)],[f672,f330,f400,f243])).
% 0.19/0.42 fof(f674,plain,(
% 0.19/0.42 $false),
% 0.19/0.42 inference(sat_refutation,[status(thm)],[f249,f253,f337,f395,f397,f404,f481,f523,f671,f673])).
% 0.19/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.42 % Elapsed time: 0.073442 seconds
% 0.19/0.42 % CPU time: 0.444484 seconds
% 0.19/0.42 % Total memory used: 58.792 MB
% 0.19/0.42 % Net memory used: 58.598 MB
%------------------------------------------------------------------------------