TSTP Solution File: RNG112+4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:38:02 EDT 2024
% Result : Theorem 0.17s 0.39s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n011.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Apr 29 22:21:16 EDT 2024
% 0.11/0.35 % CPUTime :
% 0.11/0.37 % Drodi V3.6.0
% 0.17/0.39 % Refutation found
% 0.17/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.39 fof(f42,hypothesis,(
% 0.17/0.39 ( aSet0(xI)& (! [W0] :( aElementOf0(W0,xI)=> ( (! [W1] :( aElementOf0(W1,xI)=> aElementOf0(sdtpldt0(W0,W1),xI) ))& (! [W1] :( aElement0(W1)=> aElementOf0(sdtasdt0(W1,W0),xI) ) )) ))& aIdeal0(xI)& (! [W0] :( aElementOf0(W0,slsdtgt0(xa))<=> (? [W1] :( aElement0(W1)& sdtasdt0(xa,W1) = W0 ) )))& (! [W0] :( aElementOf0(W0,slsdtgt0(xb))<=> (? [W1] :( aElement0(W1)& sdtasdt0(xb,W1) = W0 ) )))& (! [W0] :( aElementOf0(W0,xI)<=> (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ) )))& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f44,hypothesis,(
% 0.17/0.39 (? [W0] :( (! [W1] :( aElementOf0(W1,slsdtgt0(xa))<=> (? [W2] :( aElement0(W2)& sdtasdt0(xa,W2) = W1 ) )))& (! [W1] :( aElementOf0(W1,slsdtgt0(xb))<=> (? [W2] :( aElement0(W2)& sdtasdt0(xb,W2) = W1 ) )))& (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ))& aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))& W0 != sz00 ) )),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f45,hypothesis,(
% 0.17/0.39 (! [W0] :( ( ( (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ))| aElementOf0(W0,xI) )& W0 != sz00 )=> (? [W1] :( (? [W2,W3] :( aElementOf0(W2,slsdtgt0(xa))& aElementOf0(W3,slsdtgt0(xb))& sdtpldt0(W2,W3) = W1 ))& aElementOf0(W1,xI)& W1 != sz00& (! [W2] :( ( ( (? [W3,W4] :( aElementOf0(W3,slsdtgt0(xa))& aElementOf0(W4,slsdtgt0(xb))& sdtpldt0(W3,W4) = W2 ))| aElementOf0(W2,xI) )& W2 != sz00 )=> ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) ) )) )) )),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f46,conjecture,(
% 0.17/0.39 (? [W0] :( ( (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ))| aElementOf0(W0,xI) )& W0 != sz00& (! [W1] :( ( (? [W2,W3] :( aElementOf0(W2,slsdtgt0(xa))& aElementOf0(W3,slsdtgt0(xb))& sdtpldt0(W2,W3) = W1 ))& aElementOf0(W1,xI)& W1 != sz00 )=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) )) )),
% 0.17/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f47,negated_conjecture,(
% 0.17/0.39 ~((? [W0] :( ( (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ))| aElementOf0(W0,xI) )& W0 != sz00& (! [W1] :( ( (? [W2,W3] :( aElementOf0(W2,slsdtgt0(xa))& aElementOf0(W3,slsdtgt0(xb))& sdtpldt0(W2,W3) = W1 ))& aElementOf0(W1,xI)& W1 != sz00 )=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) )) ))),
% 0.17/0.39 inference(negated_conjecture,[status(cth)],[f46])).
% 0.17/0.39 fof(f221,plain,(
% 0.17/0.39 (((((aSet0(xI)&(![W0]: (~aElementOf0(W0,xI)|((![W1]: (~aElementOf0(W1,xI)|aElementOf0(sdtpldt0(W0,W1),xI)))&(![W1]: (~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xI)))))))&aIdeal0(xI))&(![W0]: (aElementOf0(W0,slsdtgt0(xa))<=>(?[W1]: (aElement0(W1)&sdtasdt0(xa,W1)=W0)))))&(![W0]: (aElementOf0(W0,slsdtgt0(xb))<=>(?[W1]: (aElement0(W1)&sdtasdt0(xb,W1)=W0)))))&(![W0]: (aElementOf0(W0,xI)<=>(?[W1,W2]: ((aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb)))&sdtpldt0(W1,W2)=W0)))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
% 0.17/0.39 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.17/0.39 fof(f222,plain,(
% 0.17/0.39 (((((aSet0(xI)&(![W0]: (~aElementOf0(W0,xI)|((![W1]: (~aElementOf0(W1,xI)|aElementOf0(sdtpldt0(W0,W1),xI)))&(![W1]: (~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xI)))))))&aIdeal0(xI))&(![W0]: ((~aElementOf0(W0,slsdtgt0(xa))|(?[W1]: (aElement0(W1)&sdtasdt0(xa,W1)=W0)))&(aElementOf0(W0,slsdtgt0(xa))|(![W1]: (~aElement0(W1)|~sdtasdt0(xa,W1)=W0))))))&(![W0]: ((~aElementOf0(W0,slsdtgt0(xb))|(?[W1]: (aElement0(W1)&sdtasdt0(xb,W1)=W0)))&(aElementOf0(W0,slsdtgt0(xb))|(![W1]: (~aElement0(W1)|~sdtasdt0(xb,W1)=W0))))))&(![W0]: ((~aElementOf0(W0,xI)|(?[W1,W2]: ((aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb)))&sdtpldt0(W1,W2)=W0)))&(aElementOf0(W0,xI)|(![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
% 0.17/0.39 inference(NNF_transformation,[status(esa)],[f221])).
% 0.17/0.39 fof(f223,plain,(
% 0.17/0.39 (((((aSet0(xI)&(![W0]: (~aElementOf0(W0,xI)|((![W1]: (~aElementOf0(W1,xI)|aElementOf0(sdtpldt0(W0,W1),xI)))&(![W1]: (~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xI)))))))&aIdeal0(xI))&((![W0]: (~aElementOf0(W0,slsdtgt0(xa))|(?[W1]: (aElement0(W1)&sdtasdt0(xa,W1)=W0))))&(![W0]: (aElementOf0(W0,slsdtgt0(xa))|(![W1]: (~aElement0(W1)|~sdtasdt0(xa,W1)=W0))))))&((![W0]: (~aElementOf0(W0,slsdtgt0(xb))|(?[W1]: (aElement0(W1)&sdtasdt0(xb,W1)=W0))))&(![W0]: (aElementOf0(W0,slsdtgt0(xb))|(![W1]: (~aElement0(W1)|~sdtasdt0(xb,W1)=W0))))))&((![W0]: (~aElementOf0(W0,xI)|(?[W1,W2]: ((aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb)))&sdtpldt0(W1,W2)=W0))))&(![W0]: (aElementOf0(W0,xI)|(![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
% 0.17/0.39 inference(miniscoping,[status(esa)],[f222])).
% 0.17/0.39 fof(f224,plain,(
% 0.17/0.39 (((((aSet0(xI)&(![W0]: (~aElementOf0(W0,xI)|((![W1]: (~aElementOf0(W1,xI)|aElementOf0(sdtpldt0(W0,W1),xI)))&(![W1]: (~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xI)))))))&aIdeal0(xI))&((![W0]: (~aElementOf0(W0,slsdtgt0(xa))|(aElement0(sk0_23(W0))&sdtasdt0(xa,sk0_23(W0))=W0)))&(![W0]: (aElementOf0(W0,slsdtgt0(xa))|(![W1]: (~aElement0(W1)|~sdtasdt0(xa,W1)=W0))))))&((![W0]: (~aElementOf0(W0,slsdtgt0(xb))|(aElement0(sk0_24(W0))&sdtasdt0(xb,sk0_24(W0))=W0)))&(![W0]: (aElementOf0(W0,slsdtgt0(xb))|(![W1]: (~aElement0(W1)|~sdtasdt0(xb,W1)=W0))))))&((![W0]: (~aElementOf0(W0,xI)|((aElementOf0(sk0_25(W0),slsdtgt0(xa))&aElementOf0(sk0_26(W0),slsdtgt0(xb)))&sdtpldt0(sk0_25(W0),sk0_26(W0))=W0)))&(![W0]: (aElementOf0(W0,xI)|(![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
% 0.17/0.39 inference(skolemization,[status(esa)],[f223])).
% 0.17/0.39 fof(f239,plain,(
% 0.17/0.39 xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f224])).
% 0.17/0.39 fof(f253,plain,(
% 0.17/0.39 ?[W0]: (((((![W1]: ((~aElementOf0(W1,slsdtgt0(xa))|(?[W2]: (aElement0(W2)&sdtasdt0(xa,W2)=W1)))&(aElementOf0(W1,slsdtgt0(xa))|(![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W1)))))&(![W1]: ((~aElementOf0(W1,slsdtgt0(xb))|(?[W2]: (aElement0(W2)&sdtasdt0(xb,W2)=W1)))&(aElementOf0(W1,slsdtgt0(xb))|(![W2]: (~aElement0(W2)|~sdtasdt0(xb,W2)=W1))))))&(?[W1,W2]: ((aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb)))&sdtpldt0(W1,W2)=W0)))&aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~W0=sz00)),
% 0.17/0.39 inference(NNF_transformation,[status(esa)],[f44])).
% 0.17/0.39 fof(f254,plain,(
% 0.17/0.39 ?[W0]: ((((((![W1]: (~aElementOf0(W1,slsdtgt0(xa))|(?[W2]: (aElement0(W2)&sdtasdt0(xa,W2)=W1))))&(![W1]: (aElementOf0(W1,slsdtgt0(xa))|(![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W1)))))&((![W1]: (~aElementOf0(W1,slsdtgt0(xb))|(?[W2]: (aElement0(W2)&sdtasdt0(xb,W2)=W1))))&(![W1]: (aElementOf0(W1,slsdtgt0(xb))|(![W2]: (~aElement0(W2)|~sdtasdt0(xb,W2)=W1))))))&(?[W1,W2]: ((aElementOf0(W1,slsdtgt0(xa))&aElementOf0(W2,slsdtgt0(xb)))&sdtpldt0(W1,W2)=W0)))&aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~W0=sz00)),
% 0.17/0.39 inference(miniscoping,[status(esa)],[f253])).
% 0.17/0.39 fof(f255,plain,(
% 0.17/0.39 ((((((![W1]: (~aElementOf0(W1,slsdtgt0(xa))|(aElement0(sk0_32(W1))&sdtasdt0(xa,sk0_32(W1))=W1)))&(![W1]: (aElementOf0(W1,slsdtgt0(xa))|(![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W1)))))&((![W1]: (~aElementOf0(W1,slsdtgt0(xb))|(aElement0(sk0_33(W1))&sdtasdt0(xb,sk0_33(W1))=W1)))&(![W1]: (aElementOf0(W1,slsdtgt0(xb))|(![W2]: (~aElement0(W2)|~sdtasdt0(xb,W2)=W1))))))&((aElementOf0(sk0_34,slsdtgt0(xa))&aElementOf0(sk0_35,slsdtgt0(xb)))&sdtpldt0(sk0_34,sk0_35)=sk0_31))&aElementOf0(sk0_31,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~sk0_31=sz00)),
% 0.17/0.39 inference(skolemization,[status(esa)],[f254])).
% 0.17/0.39 fof(f265,plain,(
% 0.17/0.39 aElementOf0(sk0_31,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f255])).
% 0.17/0.39 fof(f266,plain,(
% 0.17/0.39 ~sk0_31=sz00),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f255])).
% 0.17/0.39 fof(f267,plain,(
% 0.17/0.39 ![W0]: ((((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00)|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&(![W2]: ((((![W3,W4]: ((~aElementOf0(W3,slsdtgt0(xa))|~aElementOf0(W4,slsdtgt0(xb)))|~sdtpldt0(W3,W4)=W2))&~aElementOf0(W2,xI))|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1)))))))),
% 0.17/0.39 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.17/0.39 fof(f268,plain,(
% 0.17/0.39 ![W0]: (pd0_4(W0)=>(((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00))),
% 0.17/0.39 introduced(predicate_definition,[f267])).
% 0.17/0.39 fof(f269,plain,(
% 0.17/0.39 ![W0]: (pd0_4(W0)|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&(![W2]: ((((![W3,W4]: ((~aElementOf0(W3,slsdtgt0(xa))|~aElementOf0(W4,slsdtgt0(xb)))|~sdtpldt0(W3,W4)=W2))&~aElementOf0(W2,xI))|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1)))))))),
% 0.17/0.39 inference(formula_renaming,[status(thm)],[f267,f268])).
% 0.17/0.39 fof(f270,plain,(
% 0.17/0.39 (![W0]: pd0_4(W0))|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&(![W2]: ((((![W3,W4]: ((~aElementOf0(W3,slsdtgt0(xa))|~aElementOf0(W4,slsdtgt0(xb)))|~sdtpldt0(W3,W4)=W2))&~aElementOf0(W2,xI))|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1))))))),
% 0.17/0.39 inference(miniscoping,[status(esa)],[f269])).
% 0.17/0.39 fof(f271,plain,(
% 0.17/0.39 (![W0]: pd0_4(W0))|(((((aElementOf0(sk0_37,slsdtgt0(xa))&aElementOf0(sk0_38,slsdtgt0(xb)))&sdtpldt0(sk0_37,sk0_38)=sk0_36)&aElementOf0(sk0_36,xI))&~sk0_36=sz00)&(![W2]: ((((![W3,W4]: ((~aElementOf0(W3,slsdtgt0(xa))|~aElementOf0(W4,slsdtgt0(xb)))|~sdtpldt0(W3,W4)=W2))&~aElementOf0(W2,xI))|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(sk0_36)))))),
% 0.17/0.39 inference(skolemization,[status(esa)],[f270])).
% 0.17/0.39 fof(f275,plain,(
% 0.17/0.39 ![X0]: (pd0_4(X0)|aElementOf0(sk0_36,xI))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f271])).
% 0.17/0.39 fof(f276,plain,(
% 0.17/0.39 ![X0]: (pd0_4(X0)|~sk0_36=sz00)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f271])).
% 0.17/0.39 fof(f278,plain,(
% 0.17/0.39 ![X0,X1]: (pd0_4(X0)|~aElementOf0(X1,xI)|X1=sz00|~iLess0(sbrdtbr0(X1),sbrdtbr0(sk0_36)))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f271])).
% 0.17/0.39 fof(f279,plain,(
% 0.17/0.39 (![W0]: ((((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00)|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&iLess0(sbrdtbr0(W1),sbrdtbr0(W0))))))),
% 0.17/0.39 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.17/0.39 fof(f280,plain,(
% 0.17/0.39 ![W0]: (pd0_5(W0)=>(((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00))),
% 0.17/0.39 introduced(predicate_definition,[f279])).
% 0.17/0.39 fof(f281,plain,(
% 0.17/0.39 ![W0]: (pd0_5(W0)|(?[W1]: ((((?[W2,W3]: ((aElementOf0(W2,slsdtgt0(xa))&aElementOf0(W3,slsdtgt0(xb)))&sdtpldt0(W2,W3)=W1))&aElementOf0(W1,xI))&~W1=sz00)&iLess0(sbrdtbr0(W1),sbrdtbr0(W0)))))),
% 0.17/0.39 inference(formula_renaming,[status(thm)],[f279,f280])).
% 0.17/0.39 fof(f282,plain,(
% 0.17/0.39 ![W0]: (pd0_5(W0)|(((((aElementOf0(sk0_40(W0),slsdtgt0(xa))&aElementOf0(sk0_41(W0),slsdtgt0(xb)))&sdtpldt0(sk0_40(W0),sk0_41(W0))=sk0_39(W0))&aElementOf0(sk0_39(W0),xI))&~sk0_39(W0)=sz00)&iLess0(sbrdtbr0(sk0_39(W0)),sbrdtbr0(W0))))),
% 0.17/0.39 inference(skolemization,[status(esa)],[f281])).
% 0.17/0.39 fof(f286,plain,(
% 0.17/0.39 ![X0]: (pd0_5(X0)|aElementOf0(sk0_39(X0),xI))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f282])).
% 0.17/0.39 fof(f287,plain,(
% 0.17/0.39 ![X0]: (pd0_5(X0)|~sk0_39(X0)=sz00)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f282])).
% 0.17/0.39 fof(f288,plain,(
% 0.17/0.39 ![X0]: (pd0_5(X0)|iLess0(sbrdtbr0(sk0_39(X0)),sbrdtbr0(X0)))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f282])).
% 0.17/0.39 fof(f308,plain,(
% 0.17/0.39 ![W0]: (~pd0_4(W0)|(((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00))),
% 0.17/0.39 inference(pre_NNF_transformation,[status(esa)],[f268])).
% 0.17/0.39 fof(f310,plain,(
% 0.17/0.39 ![X0]: (~pd0_4(X0)|~aElementOf0(X0,xI)|X0=sz00)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f308])).
% 0.17/0.39 fof(f311,plain,(
% 0.17/0.39 ![W0]: (~pd0_5(W0)|(((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00))),
% 0.17/0.39 inference(pre_NNF_transformation,[status(esa)],[f280])).
% 0.17/0.39 fof(f313,plain,(
% 0.17/0.39 ![X0]: (~pd0_5(X0)|~aElementOf0(X0,xI)|X0=sz00)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f311])).
% 0.17/0.39 fof(f325,plain,(
% 0.17/0.39 spl0_2 <=> pd0_4(X0)),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f326,plain,(
% 0.17/0.39 ![X0]: (pd0_4(X0)|~spl0_2)),
% 0.17/0.39 inference(component_clause,[status(thm)],[f325])).
% 0.17/0.39 fof(f340,plain,(
% 0.17/0.39 spl0_6 <=> aElementOf0(sk0_36,xI)),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f341,plain,(
% 0.17/0.39 aElementOf0(sk0_36,xI)|~spl0_6),
% 0.17/0.39 inference(component_clause,[status(thm)],[f340])).
% 0.17/0.39 fof(f343,plain,(
% 0.17/0.39 spl0_2|spl0_6),
% 0.17/0.39 inference(split_clause,[status(thm)],[f275,f325,f340])).
% 0.17/0.39 fof(f344,plain,(
% 0.17/0.39 spl0_7 <=> sk0_36=sz00),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f347,plain,(
% 0.17/0.39 spl0_2|~spl0_7),
% 0.17/0.39 inference(split_clause,[status(thm)],[f276,f325,f344])).
% 0.17/0.39 fof(f352,plain,(
% 0.17/0.39 spl0_9 <=> ~aElementOf0(X1,xI)|X1=sz00|~iLess0(sbrdtbr0(X1),sbrdtbr0(sk0_36))),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f353,plain,(
% 0.17/0.39 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~iLess0(sbrdtbr0(X0),sbrdtbr0(sk0_36))|~spl0_9)),
% 0.17/0.39 inference(component_clause,[status(thm)],[f352])).
% 0.17/0.39 fof(f355,plain,(
% 0.17/0.39 spl0_2|spl0_9),
% 0.17/0.39 inference(split_clause,[status(thm)],[f278,f325,f352])).
% 0.17/0.39 fof(f374,plain,(
% 0.17/0.39 aElementOf0(sk0_31,xI)),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f239,f265])).
% 0.17/0.39 fof(f379,plain,(
% 0.17/0.39 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~spl0_2)),
% 0.17/0.39 inference(backward_subsumption_resolution,[status(thm)],[f310,f326])).
% 0.17/0.39 fof(f440,plain,(
% 0.17/0.39 spl0_20 <=> pd0_5(sk0_36)),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f442,plain,(
% 0.17/0.39 ~pd0_5(sk0_36)|spl0_20),
% 0.17/0.39 inference(component_clause,[status(thm)],[f440])).
% 0.17/0.39 fof(f443,plain,(
% 0.17/0.39 ~pd0_5(sk0_36)|sk0_36=sz00|~spl0_6),
% 0.17/0.39 inference(resolution,[status(thm)],[f313,f341])).
% 0.17/0.39 fof(f444,plain,(
% 0.17/0.39 ~spl0_20|spl0_7|~spl0_6),
% 0.17/0.39 inference(split_clause,[status(thm)],[f443,f440,f344,f340])).
% 0.17/0.39 fof(f453,plain,(
% 0.17/0.39 spl0_23 <=> aElementOf0(sk0_39(sk0_36),xI)),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f455,plain,(
% 0.17/0.39 ~aElementOf0(sk0_39(sk0_36),xI)|spl0_23),
% 0.17/0.39 inference(component_clause,[status(thm)],[f453])).
% 0.17/0.39 fof(f456,plain,(
% 0.17/0.39 spl0_24 <=> sk0_39(sk0_36)=sz00),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f457,plain,(
% 0.17/0.39 sk0_39(sk0_36)=sz00|~spl0_24),
% 0.17/0.39 inference(component_clause,[status(thm)],[f456])).
% 0.17/0.39 fof(f459,plain,(
% 0.17/0.39 pd0_5(sk0_36)|~aElementOf0(sk0_39(sk0_36),xI)|sk0_39(sk0_36)=sz00|~spl0_9),
% 0.17/0.39 inference(resolution,[status(thm)],[f288,f353])).
% 0.17/0.39 fof(f460,plain,(
% 0.17/0.39 spl0_20|~spl0_23|spl0_24|~spl0_9),
% 0.17/0.39 inference(split_clause,[status(thm)],[f459,f440,f453,f456,f352])).
% 0.17/0.39 fof(f461,plain,(
% 0.17/0.39 pd0_5(sk0_36)|spl0_23),
% 0.17/0.39 inference(resolution,[status(thm)],[f455,f286])).
% 0.17/0.39 fof(f462,plain,(
% 0.17/0.39 $false|spl0_20|spl0_23),
% 0.17/0.39 inference(forward_subsumption_resolution,[status(thm)],[f461,f442])).
% 0.17/0.39 fof(f463,plain,(
% 0.17/0.39 spl0_20|spl0_23),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f462])).
% 0.17/0.39 fof(f465,plain,(
% 0.17/0.39 pd0_5(sk0_36)|~spl0_24),
% 0.17/0.39 inference(resolution,[status(thm)],[f457,f287])).
% 0.17/0.39 fof(f466,plain,(
% 0.17/0.39 $false|spl0_20|~spl0_24),
% 0.17/0.39 inference(forward_subsumption_resolution,[status(thm)],[f465,f442])).
% 0.17/0.39 fof(f467,plain,(
% 0.17/0.39 spl0_20|~spl0_24),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f466])).
% 0.17/0.39 fof(f512,plain,(
% 0.17/0.39 sk0_31=sz00|~spl0_2),
% 0.17/0.39 inference(resolution,[status(thm)],[f374,f379])).
% 0.17/0.39 fof(f513,plain,(
% 0.17/0.39 $false|~spl0_2),
% 0.17/0.39 inference(forward_subsumption_resolution,[status(thm)],[f512,f266])).
% 0.17/0.39 fof(f514,plain,(
% 0.17/0.39 ~spl0_2),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f513])).
% 0.17/0.39 fof(f515,plain,(
% 0.17/0.39 $false),
% 0.17/0.39 inference(sat_refutation,[status(thm)],[f343,f347,f355,f444,f460,f463,f467,f514])).
% 0.17/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.40 % Elapsed time: 0.045431 seconds
% 0.17/0.40 % CPU time: 0.178578 seconds
% 0.17/0.40 % Total memory used: 48.926 MB
% 0.17/0.40 % Net memory used: 48.757 MB
%------------------------------------------------------------------------------