0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.10/0.31 % Computer : n016.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 05:02:27 EDT 2022 0.16/0.31 % CPUTime : 0.16/0.33 % Drodi V3.3.3 0.16/0.50 % Refutation found 0.16/0.50 % SZS status Theorem for theBenchmark: Theorem is valid 0.16/0.50 % SZS output start CNFRefutation for theBenchmark 0.16/0.50 fof(f1,definition,( 0.16/0.50 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f18,conjecture,( 0.16/0.50 ( ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))| (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xj))<= aElementOf0(W0,sdtlpdtrp0(xN,xi)) ) ))<= sdtlseqdt0(xj,xi) ) ), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f19,negated_conjecture,( 0.16/0.50 ~(( ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))| (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xj))<= aElementOf0(W0,sdtlpdtrp0(xN,xi)) ) ))<= sdtlseqdt0(xj,xi) ) )), 0.16/0.50 inference(negated_conjecture,[status(cth)],[f18])). 0.16/0.50 fof(f22,hypothesis,( 0.16/0.50 ( ( ( (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xj))<= aElementOf0(W0,sdtlpdtrp0(xN,xi)) ))& aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) )<= sdtlseqdt0(xj,xi) )<= ( sdtlseqdt0(xj,xi)& (? [W0] :( szszuzczcdt0(W0) = xi& aElementOf0(W0,szNzAzT0) ) )) ) ), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f24,axiom,( 0.16/0.50 (! [W0] :( aFunction0(W0)=> aSet0(szDzozmdt0(W0)) ) )), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f30,axiom,( 0.16/0.50 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f32,hypothesis,( 0.16/0.50 ( aElementOf0(xj,szNzAzT0)& aElementOf0(xi,szNzAzT0) ) ), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f44,axiom,( 0.16/0.50 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( W0 = sz00| (? [W1] :( aElementOf0(W1,szNzAzT0)& W0 = szszuzczcdt0(W1) ) )) ) )), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f60,axiom,( 0.16/0.50 (! [W0,W1] :( ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 )<= ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) ) ) )), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f66,hypothesis,( 0.16/0.50 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0))& (! [W1] :( aElementOf0(W1,sdtlpdtrp0(xN,W0))=> aElementOf0(W1,szNzAzT0) ))& aSet0(sdtlpdtrp0(xN,W0)) ) ) )), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f73,hypothesis,( 0.16/0.50 ( sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))& (! [W1] :( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))<= aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) ))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& (! [W1] :( ( W1 != szmzizndt0(sdtlpdtrp0(xN,W0))& aElementOf0(W1,sdtlpdtrp0(xN,W0))& aElement0(W1) )<=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ))& (! [W1] :( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1)<= aElementOf0(W1,sdtlpdtrp0(xN,W0)) ))& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )<= ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)| ( (! [W1] :( aElementOf0(W1,szNzAzT0)<= aElementOf0(W1,sdtlpdtrp0(xN,W0)) ))& aSet0(sdtlpdtrp0(xN,W0)) ) )& isCountable0(sdtlpdtrp0(xN,W0)) ) ) ))& szNzAzT0 = szDzozmdt0(xN)& aFunction0(xN) ) ), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f81,axiom,( 0.16/0.50 (! [W0] :( sdtlseqdt0(W0,W0)<= aElementOf0(W0,szNzAzT0) ) )), 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.16/0.50 fof(f88,plain,( 0.16/0.50 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f1])). 0.16/0.50 fof(f89,plain,( 0.16/0.50 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))), 0.16/0.50 inference(NNF_transformation,[status(esa)],[f88])). 0.16/0.50 fof(f90,plain,( 0.16/0.50 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))), 0.16/0.50 inference(miniscoping,[status(esa)],[f89])). 0.16/0.50 fof(f91,plain,( 0.16/0.50 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))), 0.16/0.50 inference(skolemization,[status(esa)],[f90])). 0.16/0.50 fof(f93,plain,( 0.16/0.50 ![X0,X1]: (~X0=slcrc0|~aElementOf0(X1,X0))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f91])). 0.16/0.50 fof(f210,plain,( 0.16/0.50 ((~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))&(?[W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xj))&aElementOf0(W0,sdtlpdtrp0(xN,xi)))))&sdtlseqdt0(xj,xi))), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f19])). 0.16/0.50 fof(f211,plain,( 0.16/0.50 (~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))&(~aElementOf0(sk0_13,sdtlpdtrp0(xN,xj))&aElementOf0(sk0_13,sdtlpdtrp0(xN,xi))))&sdtlseqdt0(xj,xi)), 0.16/0.50 inference(skolemization,[status(esa)],[f210])). 0.16/0.50 fof(f212,plain,( 0.16/0.50 ~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f211])). 0.16/0.50 fof(f213,plain,( 0.16/0.50 ~aElementOf0(sk0_13,sdtlpdtrp0(xN,xj))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f211])). 0.16/0.50 fof(f214,plain,( 0.16/0.50 aElementOf0(sk0_13,sdtlpdtrp0(xN,xi))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f211])). 0.16/0.50 fof(f215,plain,( 0.16/0.50 sdtlseqdt0(xj,xi)), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f211])). 0.16/0.50 fof(f220,plain,( 0.16/0.50 (((![W0]: (aElementOf0(W0,sdtlpdtrp0(xN,xj))|~aElementOf0(W0,sdtlpdtrp0(xN,xi))))&aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))|~sdtlseqdt0(xj,xi))|(~sdtlseqdt0(xj,xi)|(![W0]: (~szszuzczcdt0(W0)=xi|~aElementOf0(W0,szNzAzT0))))), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f22])). 0.16/0.50 fof(f222,plain,( 0.16/0.50 ![X0]: (aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))|~sdtlseqdt0(xj,xi)|~sdtlseqdt0(xj,xi)|~szszuzczcdt0(X0)=xi|~aElementOf0(X0,szNzAzT0))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f220])). 0.16/0.50 fof(f225,plain,( 0.16/0.50 ![W0]: (~aFunction0(W0)|aSet0(szDzozmdt0(W0)))), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f24])). 0.16/0.50 fof(f226,plain,( 0.16/0.50 ![X0]: (~aFunction0(X0)|aSet0(szDzozmdt0(X0)))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f225])). 0.16/0.50 fof(f237,plain,( 0.16/0.50 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f30])). 0.16/0.50 fof(f238,plain,( 0.16/0.50 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f237])). 0.16/0.50 fof(f242,plain,( 0.16/0.50 aElementOf0(xj,szNzAzT0)), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f32])). 0.16/0.50 fof(f243,plain,( 0.16/0.50 aElementOf0(xi,szNzAzT0)), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f32])). 0.16/0.50 fof(f267,plain,( 0.16/0.50 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(?[W1]: (aElementOf0(W1,szNzAzT0)&W0=szszuzczcdt0(W1)))))), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f44])). 0.16/0.50 fof(f268,plain,( 0.16/0.50 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(aElementOf0(sk0_14(W0),szNzAzT0)&W0=szszuzczcdt0(sk0_14(W0)))))), 0.16/0.50 inference(skolemization,[status(esa)],[f267])). 0.16/0.50 fof(f269,plain,( 0.16/0.50 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|aElementOf0(sk0_14(X0),szNzAzT0))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f268])). 0.16/0.50 fof(f270,plain,( 0.16/0.50 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|X0=szszuzczcdt0(sk0_14(X0)))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f268])). 0.16/0.50 fof(f328,plain,( 0.16/0.50 ![W0,W1]: (((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1)|(~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0)))), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f60])). 0.16/0.50 fof(f329,plain,( 0.16/0.50 ![X0,X1]: (~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1|~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f328])). 0.16/0.50 fof(f341,plain,( 0.16/0.50 ![W0]: (~aElementOf0(W0,szNzAzT0)|(((aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)&isCountable0(sdtlpdtrp0(xN,W0)))&(![W1]: (~aElementOf0(W1,sdtlpdtrp0(xN,W0))|aElementOf0(W1,szNzAzT0))))&aSet0(sdtlpdtrp0(xN,W0))))), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f66])). 0.16/0.50 fof(f345,plain,( 0.16/0.50 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(sdtlpdtrp0(xN,X0)))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f341])). 0.16/0.50 fof(f360,plain,( 0.16/0.50 ((sdtlpdtrp0(xN,sz00)=xS&(![W0]: (~aElementOf0(W0,szNzAzT0)|((((((((aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (((~W1=szmzizndt0(sdtlpdtrp0(xN,W0))&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&aElement0(W1))<=>aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&(![W1]: (sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1)|~aElementOf0(W1,sdtlpdtrp0(xN,W0)))))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)))|((~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)&((?[W1]: (~aElementOf0(W1,szNzAzT0)&aElementOf0(W1,sdtlpdtrp0(xN,W0))))|~aSet0(sdtlpdtrp0(xN,W0))))|~isCountable0(sdtlpdtrp0(xN,W0)))))))&szNzAzT0=szDzozmdt0(xN))&aFunction0(xN)), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f73])). 0.16/0.50 fof(f361,plain,( 0.16/0.50 ![W0]: (pd0_4(W0)=>(((((((aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&(![W1]: (aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))|~aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))&(![W1]: (((~W1=szmzizndt0(sdtlpdtrp0(xN,W0))&aElementOf0(W1,sdtlpdtrp0(xN,W0)))&aElement0(W1))<=>aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))))))&(![W1]: (sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1)|~aElementOf0(W1,sdtlpdtrp0(xN,W0)))))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))))), 0.16/0.50 introduced(predicate_definition,[f360])). 0.16/0.50 fof(f362,plain,( 0.16/0.50 ((sdtlpdtrp0(xN,sz00)=xS&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|((~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)&((?[W1]: (~aElementOf0(W1,szNzAzT0)&aElementOf0(W1,sdtlpdtrp0(xN,W0))))|~aSet0(sdtlpdtrp0(xN,W0))))|~isCountable0(sdtlpdtrp0(xN,W0)))))))&szNzAzT0=szDzozmdt0(xN))&aFunction0(xN)), 0.16/0.50 inference(formula_renaming,[status(thm)],[f360,f361])). 0.16/0.50 fof(f363,plain,( 0.16/0.50 ((sdtlpdtrp0(xN,sz00)=xS&(![W0]: (~aElementOf0(W0,szNzAzT0)|(pd0_4(W0)|((~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)&((~aElementOf0(sk0_19(W0),szNzAzT0)&aElementOf0(sk0_19(W0),sdtlpdtrp0(xN,W0)))|~aSet0(sdtlpdtrp0(xN,W0))))|~isCountable0(sdtlpdtrp0(xN,W0)))))))&szNzAzT0=szDzozmdt0(xN))&aFunction0(xN)), 0.16/0.50 inference(skolemization,[status(esa)],[f362])). 0.16/0.50 fof(f369,plain,( 0.16/0.50 aFunction0(xN)), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f363])). 0.16/0.50 fof(f405,plain,( 0.16/0.50 ![W0]: (sdtlseqdt0(W0,W0)|~aElementOf0(W0,szNzAzT0))), 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f81])). 0.16/0.50 fof(f406,plain,( 0.16/0.50 ![X0]: (sdtlseqdt0(X0,X0)|~aElementOf0(X0,szNzAzT0))), 0.16/0.50 inference(cnf_transformation,[status(esa)],[f405])). 0.16/0.50 fof(f477,plain,( 0.16/0.50 spl0_1 <=> sdtlseqdt0(xj,xi)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f479,plain,( 0.16/0.50 ~sdtlseqdt0(xj,xi)|spl0_1), 0.16/0.50 inference(component_clause,[status(thm)],[f477])). 0.16/0.50 fof(f480,plain,( 0.16/0.50 spl0_2 <=> ~szszuzczcdt0(X1)=xi|~aElementOf0(X1,szNzAzT0)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f481,plain,( 0.16/0.50 ![X0]: (~szszuzczcdt0(X0)=xi|~aElementOf0(X0,szNzAzT0)|~spl0_2)), 0.16/0.50 inference(component_clause,[status(thm)],[f480])). 0.16/0.50 fof(f484,plain,( 0.16/0.50 spl0_3 <=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f485,plain,( 0.16/0.50 aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))|~spl0_3), 0.16/0.50 inference(component_clause,[status(thm)],[f484])). 0.16/0.50 fof(f487,plain,( 0.16/0.50 spl0_3|~spl0_1|spl0_2), 0.16/0.50 inference(split_clause,[status(thm)],[f222,f484,f477,f480])). 0.16/0.50 fof(f489,plain,( 0.16/0.50 ![X0]: (~aElementOf0(X0,slcrc0))), 0.16/0.50 inference(destructive_equality_resolution,[status(esa)],[f93])). 0.16/0.50 fof(f547,plain,( 0.16/0.50 spl0_7 <=> aElementOf0(sk0_0(slcrc0),slcrc0)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f548,plain,( 0.16/0.50 aElementOf0(sk0_0(slcrc0),slcrc0)|~spl0_7), 0.16/0.50 inference(component_clause,[status(thm)],[f547])). 0.16/0.50 fof(f620,plain,( 0.16/0.50 $false|spl0_1), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f479,f215])). 0.16/0.50 fof(f621,plain,( 0.16/0.50 spl0_1), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f620])). 0.16/0.50 fof(f712,plain,( 0.16/0.50 spl0_19 <=> aElementOf0(szmzizndt0(slcrc0),slcrc0)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f713,plain,( 0.16/0.50 aElementOf0(szmzizndt0(slcrc0),slcrc0)|~spl0_19), 0.16/0.50 inference(component_clause,[status(thm)],[f712])). 0.16/0.50 fof(f780,plain,( 0.16/0.50 aSet0(szDzozmdt0(xN))), 0.16/0.50 inference(resolution,[status(thm)],[f226,f369])). 0.16/0.50 fof(f844,plain,( 0.16/0.50 spl0_38 <=> aElementOf0(szmzazxdt0(slcrc0),slcrc0)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f845,plain,( 0.16/0.50 aElementOf0(szmzazxdt0(slcrc0),slcrc0)|~spl0_38), 0.16/0.50 inference(component_clause,[status(thm)],[f844])). 0.16/0.50 fof(f1278,plain,( 0.16/0.50 sdtlseqdt0(xi,xi)), 0.16/0.50 inference(resolution,[status(thm)],[f406,f243])). 0.16/0.50 fof(f1328,plain,( 0.16/0.50 $false|~spl0_3), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f485,f212])). 0.16/0.50 fof(f1329,plain,( 0.16/0.50 ~spl0_3), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f1328])). 0.16/0.50 fof(f1391,plain,( 0.16/0.50 spl0_73 <=> aSet0(sdtlpdtrp0(xN,xi))), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f1393,plain,( 0.16/0.50 ~aSet0(sdtlpdtrp0(xN,xi))|spl0_73), 0.16/0.50 inference(component_clause,[status(thm)],[f1391])). 0.16/0.50 fof(f1808,plain,( 0.16/0.50 sdtlseqdt0(sz00,xj)), 0.16/0.50 inference(resolution,[status(thm)],[f238,f242])). 0.16/0.50 fof(f2032,plain,( 0.16/0.50 spl0_170 <=> xi=sz00), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f2033,plain,( 0.16/0.50 xi=sz00|~spl0_170), 0.16/0.50 inference(component_clause,[status(thm)],[f2032])). 0.16/0.50 fof(f2035,plain,( 0.16/0.50 spl0_171 <=> aElementOf0(sk0_14(xi),szNzAzT0)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f2038,plain,( 0.16/0.50 xi=sz00|aElementOf0(sk0_14(xi),szNzAzT0)), 0.16/0.50 inference(resolution,[status(thm)],[f269,f243])). 0.16/0.50 fof(f2039,plain,( 0.16/0.50 spl0_170|spl0_171), 0.16/0.50 inference(split_clause,[status(thm)],[f2038,f2032,f2035])). 0.16/0.50 fof(f2105,plain,( 0.16/0.50 sdtlseqdt0(xi,xj)|~spl0_170), 0.16/0.50 inference(paramodulation,[status(thm)],[f2033,f1808])). 0.16/0.50 fof(f2130,plain,( 0.16/0.50 spl0_180 <=> xi=szszuzczcdt0(sk0_14(xi))), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f2131,plain,( 0.16/0.50 xi=szszuzczcdt0(sk0_14(xi))|~spl0_180), 0.16/0.50 inference(component_clause,[status(thm)],[f2130])). 0.16/0.50 fof(f2133,plain,( 0.16/0.50 xi=sz00|xi=szszuzczcdt0(sk0_14(xi))), 0.16/0.50 inference(resolution,[status(thm)],[f270,f243])). 0.16/0.50 fof(f2134,plain,( 0.16/0.50 spl0_170|spl0_180), 0.16/0.50 inference(split_clause,[status(thm)],[f2133,f2032,f2130])). 0.16/0.50 fof(f2653,plain,( 0.16/0.50 spl0_259 <=> aElementOf0(xi,szNzAzT0)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f2655,plain,( 0.16/0.50 ~aElementOf0(xi,szNzAzT0)|spl0_259), 0.16/0.50 inference(component_clause,[status(thm)],[f2653])). 0.16/0.50 fof(f2664,plain,( 0.16/0.50 spl0_262 <=> aElementOf0(xj,szNzAzT0)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f2666,plain,( 0.16/0.50 ~aElementOf0(xj,szNzAzT0)|spl0_262), 0.16/0.50 inference(component_clause,[status(thm)],[f2664])). 0.16/0.50 fof(f2698,plain,( 0.16/0.50 spl0_270 <=> xi=xj), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f2699,plain,( 0.16/0.50 xi=xj|~spl0_270), 0.16/0.50 inference(component_clause,[status(thm)],[f2698])). 0.16/0.50 fof(f2701,plain,( 0.16/0.50 ~sdtlseqdt0(xj,xi)|xi=xj|~aElementOf0(xi,szNzAzT0)|~aElementOf0(xj,szNzAzT0)|~spl0_170), 0.16/0.50 inference(resolution,[status(thm)],[f329,f2105])). 0.16/0.50 fof(f2702,plain,( 0.16/0.50 ~spl0_1|spl0_270|~spl0_259|~spl0_262|~spl0_170), 0.16/0.50 inference(split_clause,[status(thm)],[f2701,f477,f2698,f2653,f2664,f2032])). 0.16/0.50 fof(f2713,plain,( 0.16/0.50 spl0_273 <=> sdtlseqdt0(xi,xi)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f2715,plain,( 0.16/0.50 ~sdtlseqdt0(xi,xi)|spl0_273), 0.16/0.50 inference(component_clause,[status(thm)],[f2713])). 0.16/0.50 fof(f2716,plain,( 0.16/0.50 spl0_274 <=> xi=xi), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f2719,plain,( 0.16/0.50 ~sdtlseqdt0(xi,xi)|xi=xi|~aElementOf0(xi,szNzAzT0)|~aElementOf0(xi,szNzAzT0)), 0.16/0.50 inference(resolution,[status(thm)],[f329,f1278])). 0.16/0.50 fof(f2720,plain,( 0.16/0.50 ~spl0_273|spl0_274|~spl0_259), 0.16/0.50 inference(split_clause,[status(thm)],[f2719,f2713,f2716,f2653])). 0.16/0.50 fof(f2783,plain,( 0.16/0.50 $false|spl0_273), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2715,f1278])). 0.16/0.50 fof(f2784,plain,( 0.16/0.50 spl0_273), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f2783])). 0.16/0.50 fof(f2785,plain,( 0.16/0.50 $false|spl0_262), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2666,f242])). 0.16/0.50 fof(f2786,plain,( 0.16/0.50 spl0_262), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f2785])). 0.16/0.50 fof(f2787,plain,( 0.16/0.50 $false|spl0_259), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2655,f243])). 0.16/0.50 fof(f2788,plain,( 0.16/0.50 spl0_259), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f2787])). 0.16/0.50 fof(f2848,plain,( 0.16/0.50 ~aElementOf0(sk0_13,sdtlpdtrp0(xN,xi))|~spl0_270), 0.16/0.50 inference(paramodulation,[status(thm)],[f2699,f213])). 0.16/0.50 fof(f2849,plain,( 0.16/0.50 $false|~spl0_270), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2848,f214])). 0.16/0.50 fof(f2850,plain,( 0.16/0.50 ~spl0_270), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f2849])). 0.16/0.50 fof(f2937,plain,( 0.16/0.50 aSet0(sdtlpdtrp0(xN,xi))), 0.16/0.50 inference(resolution,[status(thm)],[f345,f243])). 0.16/0.50 fof(f2938,plain,( 0.16/0.50 $false|spl0_73), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2937,f1393])). 0.16/0.50 fof(f2939,plain,( 0.16/0.50 spl0_73), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f2938])). 0.16/0.50 fof(f3053,plain,( 0.16/0.50 $false|~spl0_38), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f845,f489])). 0.16/0.50 fof(f3054,plain,( 0.16/0.50 ~spl0_38), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f3053])). 0.16/0.50 fof(f3055,plain,( 0.16/0.50 $false|~spl0_19), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f713,f489])). 0.16/0.50 fof(f3056,plain,( 0.16/0.50 ~spl0_19), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f3055])). 0.16/0.50 fof(f3057,plain,( 0.16/0.50 $false|~spl0_7), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f548,f489])). 0.16/0.50 fof(f3058,plain,( 0.16/0.50 ~spl0_7), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f3057])). 0.16/0.50 fof(f3283,plain,( 0.16/0.50 spl0_348 <=> aElementOf0(sk0_23(slcrc0),slcrc0)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f3284,plain,( 0.16/0.50 aElementOf0(sk0_23(slcrc0),slcrc0)|~spl0_348), 0.16/0.50 inference(component_clause,[status(thm)],[f3283])). 0.16/0.50 fof(f3288,plain,( 0.16/0.50 $false|~spl0_348), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f3284,f489])). 0.16/0.50 fof(f3289,plain,( 0.16/0.50 ~spl0_348), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f3288])). 0.16/0.50 fof(f3299,plain,( 0.16/0.50 spl0_350 <=> aSet0(szDzozmdt0(xN))), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f3301,plain,( 0.16/0.50 ~aSet0(szDzozmdt0(xN))|spl0_350), 0.16/0.50 inference(component_clause,[status(thm)],[f3299])). 0.16/0.50 fof(f3308,plain,( 0.16/0.50 $false|spl0_350), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f3301,f780])). 0.16/0.50 fof(f3309,plain,( 0.16/0.50 spl0_350), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f3308])). 0.16/0.50 fof(f3376,plain,( 0.16/0.50 spl0_357 <=> sdtlseqdt0(sz00,xj)), 0.16/0.50 introduced(split_symbol_definition)). 0.16/0.50 fof(f3378,plain,( 0.16/0.50 ~sdtlseqdt0(sz00,xj)|spl0_357), 0.16/0.50 inference(component_clause,[status(thm)],[f3376])). 0.16/0.50 fof(f3382,plain,( 0.16/0.50 $false|spl0_357), 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f3378,f1808])). 0.16/0.50 fof(f3383,plain,( 0.16/0.50 spl0_357), 0.16/0.50 inference(contradiction_clause,[status(thm)],[f3382])). 0.16/0.50 fof(f3437,plain,( 0.16/0.50 ~xi=xi|~aElementOf0(sk0_14(xi),szNzAzT0)|~spl0_2|~spl0_180), 0.16/0.50 inference(paramodulation,[status(thm)],[f2131,f481])). 0.16/0.50 fof(f3438,plain,( 0.16/0.50 ~spl0_274|~spl0_171|~spl0_2|~spl0_180), 0.16/0.50 inference(split_clause,[status(thm)],[f3437,f2716,f2035,f480,f2130])). 0.16/0.50 fof(f3439,plain,( 0.16/0.50 $false), 0.16/0.50 inference(sat_refutation,[status(thm)],[f487,f621,f1329,f2039,f2134,f2702,f2720,f2784,f2786,f2788,f2850,f2939,f3054,f3056,f3058,f3289,f3309,f3383,f3438])). 0.16/0.50 % SZS output end CNFRefutation for theBenchmark.p 0.16/0.51 % Elapsed time: 0.201528 seconds 0.16/0.51 % CPU time: 0.978081 seconds 0.16/0.51 % Memory used: 99.671 MB 0.16/0.51 EOF