TSTP Solution File: NUM537+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM537+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:35:03 EDT 2024
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM537+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n002.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 21:01:24 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34 fof(f3,axiom,(
% 0.10/0.34 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f18,hypothesis,(
% 0.10/0.34 ( aElement0(xx)& aSet0(xS) ) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f19,hypothesis,(
% 0.10/0.34 ~ aElementOf0(xx,xS) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f20,conjecture,(
% 0.10/0.34 ( ( ( aSet0(sdtpldt0(xS,xx))& (! [W0] :( aElementOf0(W0,sdtpldt0(xS,xx))<=> ( aElement0(W0)& ( aElementOf0(W0,xS)| W0 = xx ) ) ) ))=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))& (! [W0] :( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<=> ( aElement0(W0)& aElementOf0(W0,sdtpldt0(xS,xx))& W0 != xx ) ) ))=> ( (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) ))| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) )& ( ( aSet0(sdtpldt0(xS,xx))& (! [W0] :( aElementOf0(W0,sdtpldt0(xS,xx))<=> ( aElement0(W0)& ( aElementOf0(W0,xS)| W0 = xx ) ) ) ))=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))& (! [W0] :( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<=> ( aElement0(W0)& aElementOf0(W0,sdtpldt0(xS,xx))& W0 != xx ) ) ))=> ( (! [W0] :( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))=> aElementOf0(W0,xS) ))| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) ) ) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f21,negated_conjecture,(
% 0.10/0.34 ~(( ( ( aSet0(sdtpldt0(xS,xx))& (! [W0] :( aElementOf0(W0,sdtpldt0(xS,xx))<=> ( aElement0(W0)& ( aElementOf0(W0,xS)| W0 = xx ) ) ) ))=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))& (! [W0] :( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<=> ( aElement0(W0)& aElementOf0(W0,sdtpldt0(xS,xx))& W0 != xx ) ) ))=> ( (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) ))| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) )& ( ( aSet0(sdtpldt0(xS,xx))& (! [W0] :( aElementOf0(W0,sdtpldt0(xS,xx))<=> ( aElement0(W0)& ( aElementOf0(W0,xS)| W0 = xx ) ) ) ))=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))& (! [W0] :( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<=> ( aElement0(W0)& aElementOf0(W0,sdtpldt0(xS,xx))& W0 != xx ) ) ))=> ( (! [W0] :( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))=> aElementOf0(W0,xS) ))| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) ) ) )),
% 0.10/0.34 inference(negated_conjecture,[status(cth)],[f20])).
% 0.10/0.34 fof(f28,plain,(
% 0.10/0.34 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.10/0.34 fof(f29,plain,(
% 0.10/0.34 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f28])).
% 0.10/0.34 fof(f88,plain,(
% 0.10/0.34 aElement0(xx)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f18])).
% 0.10/0.34 fof(f89,plain,(
% 0.10/0.34 aSet0(xS)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f18])).
% 0.10/0.34 fof(f90,plain,(
% 0.10/0.34 ~aElementOf0(xx,xS)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f19])).
% 0.10/0.34 fof(f91,plain,(
% 0.10/0.34 (((aSet0(sdtpldt0(xS,xx))&(![W0]: (aElementOf0(W0,sdtpldt0(xS,xx))<=>(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<=>((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx))))&((?[W0]: (aElementOf0(W0,xS)&~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))))&~aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))))|((aSet0(sdtpldt0(xS,xx))&(![W0]: (aElementOf0(W0,sdtpldt0(xS,xx))<=>(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<=>((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx))))&((?[W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.10/0.34 fof(f92,plain,(
% 0.10/0.34 pd0_1=>((aSet0(sdtpldt0(xS,xx))&(![W0]: (aElementOf0(W0,sdtpldt0(xS,xx))<=>(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<=>((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx))))&((?[W0]: (aElementOf0(W0,xS)&~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))))&~aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))))),
% 0.10/0.34 introduced(predicate_definition,[f91])).
% 0.10/0.34 fof(f93,plain,(
% 0.10/0.34 pd0_1|((aSet0(sdtpldt0(xS,xx))&(![W0]: (aElementOf0(W0,sdtpldt0(xS,xx))<=>(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<=>((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx))))&((?[W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))),
% 0.10/0.34 inference(formula_renaming,[status(thm)],[f91,f92])).
% 0.10/0.34 fof(f94,plain,(
% 0.10/0.34 pd0_1|((aSet0(sdtpldt0(xS,xx))&(![W0]: ((~aElementOf0(W0,sdtpldt0(xS,xx))|(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx)))&(aElementOf0(W0,sdtpldt0(xS,xx))|(~aElement0(W0)|(~aElementOf0(W0,xS)&~W0=xx))))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&(![W0]: ((~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx))&(aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((~aElement0(W0)|~aElementOf0(W0,sdtpldt0(xS,xx)))|W0=xx)))))&((?[W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))),
% 0.10/0.34 inference(NNF_transformation,[status(esa)],[f93])).
% 0.10/0.34 fof(f95,plain,(
% 0.10/0.34 pd0_1|((aSet0(sdtpldt0(xS,xx))&((![W0]: (~aElementOf0(W0,sdtpldt0(xS,xx))|(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx))))&(![W0]: (aElementOf0(W0,sdtpldt0(xS,xx))|(~aElement0(W0)|(~aElementOf0(W0,xS)&~W0=xx))))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&((![W0]: (~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx)))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((~aElement0(W0)|~aElementOf0(W0,sdtpldt0(xS,xx)))|W0=xx)))))&((?[W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))&~aElementOf0(W0,xS)))&~aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f94])).
% 0.10/0.34 fof(f96,plain,(
% 0.10/0.34 pd0_1|((aSet0(sdtpldt0(xS,xx))&((![W0]: (~aElementOf0(W0,sdtpldt0(xS,xx))|(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx))))&(![W0]: (aElementOf0(W0,sdtpldt0(xS,xx))|(~aElement0(W0)|(~aElementOf0(W0,xS)&~W0=xx))))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&((![W0]: (~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx)))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((~aElement0(W0)|~aElementOf0(W0,sdtpldt0(xS,xx)))|W0=xx)))))&((aElementOf0(sk0_4,sdtmndt0(sdtpldt0(xS,xx),xx))&~aElementOf0(sk0_4,xS))&~aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))),
% 0.10/0.34 inference(skolemization,[status(esa)],[f95])).
% 0.10/0.34 fof(f99,plain,(
% 0.10/0.34 ![X0]: (pd0_1|~aElementOf0(X0,sdtpldt0(xS,xx))|aElementOf0(X0,xS)|X0=xx)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f96])).
% 0.10/0.34 fof(f100,plain,(
% 0.10/0.34 ![X0]: (pd0_1|aElementOf0(X0,sdtpldt0(xS,xx))|~aElement0(X0)|~aElementOf0(X0,xS))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f96])).
% 0.10/0.34 fof(f104,plain,(
% 0.10/0.34 ![X0]: (pd0_1|~aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(X0,sdtpldt0(xS,xx)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f96])).
% 0.10/0.34 fof(f105,plain,(
% 0.10/0.34 ![X0]: (pd0_1|~aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|~X0=xx)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f96])).
% 0.10/0.34 fof(f107,plain,(
% 0.10/0.34 pd0_1|aElementOf0(sk0_4,sdtmndt0(sdtpldt0(xS,xx),xx))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f96])).
% 0.10/0.34 fof(f108,plain,(
% 0.10/0.34 pd0_1|~aElementOf0(sk0_4,xS)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f96])).
% 0.10/0.34 fof(f116,plain,(
% 0.10/0.34 ~pd0_1|((aSet0(sdtpldt0(xS,xx))&(![W0]: (aElementOf0(W0,sdtpldt0(xS,xx))<=>(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<=>((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx))))&((?[W0]: (aElementOf0(W0,xS)&~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))))&~aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 0.10/0.34 fof(f117,plain,(
% 0.10/0.34 ~pd0_1|((aSet0(sdtpldt0(xS,xx))&(![W0]: ((~aElementOf0(W0,sdtpldt0(xS,xx))|(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx)))&(aElementOf0(W0,sdtpldt0(xS,xx))|(~aElement0(W0)|(~aElementOf0(W0,xS)&~W0=xx))))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&(![W0]: ((~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx))&(aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((~aElement0(W0)|~aElementOf0(W0,sdtpldt0(xS,xx)))|W0=xx)))))&((?[W0]: (aElementOf0(W0,xS)&~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))))&~aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))))),
% 0.10/0.34 inference(NNF_transformation,[status(esa)],[f116])).
% 0.10/0.34 fof(f118,plain,(
% 0.10/0.34 ~pd0_1|((aSet0(sdtpldt0(xS,xx))&((![W0]: (~aElementOf0(W0,sdtpldt0(xS,xx))|(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx))))&(![W0]: (aElementOf0(W0,sdtpldt0(xS,xx))|(~aElement0(W0)|(~aElementOf0(W0,xS)&~W0=xx))))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&((![W0]: (~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx)))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((~aElement0(W0)|~aElementOf0(W0,sdtpldt0(xS,xx)))|W0=xx)))))&((?[W0]: (aElementOf0(W0,xS)&~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))))&~aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f117])).
% 0.10/0.34 fof(f119,plain,(
% 0.10/0.34 ~pd0_1|((aSet0(sdtpldt0(xS,xx))&((![W0]: (~aElementOf0(W0,sdtpldt0(xS,xx))|(aElement0(W0)&(aElementOf0(W0,xS)|W0=xx))))&(![W0]: (aElementOf0(W0,sdtpldt0(xS,xx))|(~aElement0(W0)|(~aElementOf0(W0,xS)&~W0=xx))))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&((![W0]: (~aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx)))&~W0=xx)))&(![W0]: (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))|((~aElement0(W0)|~aElementOf0(W0,sdtpldt0(xS,xx)))|W0=xx)))))&((aElementOf0(sk0_5,xS)&~aElementOf0(sk0_5,sdtmndt0(sdtpldt0(xS,xx),xx)))&~aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))))),
% 0.10/0.34 inference(skolemization,[status(esa)],[f118])).
% 0.10/0.34 fof(f121,plain,(
% 0.10/0.34 ![X0]: (~pd0_1|~aElementOf0(X0,sdtpldt0(xS,xx))|aElement0(X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f119])).
% 0.10/0.34 fof(f123,plain,(
% 0.10/0.34 ![X0]: (~pd0_1|aElementOf0(X0,sdtpldt0(xS,xx))|~aElement0(X0)|~aElementOf0(X0,xS))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f119])).
% 0.10/0.34 fof(f129,plain,(
% 0.10/0.34 ![X0]: (~pd0_1|aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|~aElement0(X0)|~aElementOf0(X0,sdtpldt0(xS,xx))|X0=xx)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f119])).
% 0.10/0.34 fof(f130,plain,(
% 0.10/0.34 ~pd0_1|aElementOf0(sk0_5,xS)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f119])).
% 0.10/0.34 fof(f131,plain,(
% 0.10/0.34 ~pd0_1|~aElementOf0(sk0_5,sdtmndt0(sdtpldt0(xS,xx),xx))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f119])).
% 0.10/0.34 fof(f133,plain,(
% 0.10/0.34 spl0_0 <=> pd0_1),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f140,plain,(
% 0.10/0.34 spl0_2 <=> ~aElementOf0(X0,sdtpldt0(xS,xx))|aElement0(X0)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f141,plain,(
% 0.10/0.34 ![X0]: (~aElementOf0(X0,sdtpldt0(xS,xx))|aElement0(X0)|~spl0_2)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f140])).
% 0.10/0.34 fof(f144,plain,(
% 0.10/0.34 spl0_3 <=> ~aElementOf0(X0,sdtpldt0(xS,xx))|aElementOf0(X0,xS)|X0=xx),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f145,plain,(
% 0.10/0.34 ![X0]: (~aElementOf0(X0,sdtpldt0(xS,xx))|aElementOf0(X0,xS)|X0=xx|~spl0_3)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f144])).
% 0.10/0.34 fof(f147,plain,(
% 0.10/0.34 spl0_0|spl0_3),
% 0.10/0.34 inference(split_clause,[status(thm)],[f99,f133,f144])).
% 0.10/0.34 fof(f148,plain,(
% 0.10/0.34 spl0_4 <=> aElementOf0(X0,sdtpldt0(xS,xx))|~aElement0(X0)|~aElementOf0(X0,xS)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f149,plain,(
% 0.10/0.34 ![X0]: (aElementOf0(X0,sdtpldt0(xS,xx))|~aElement0(X0)|~aElementOf0(X0,xS)|~spl0_4)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f148])).
% 0.10/0.34 fof(f151,plain,(
% 0.10/0.34 spl0_0|spl0_4),
% 0.10/0.34 inference(split_clause,[status(thm)],[f100,f133,f148])).
% 0.10/0.34 fof(f164,plain,(
% 0.10/0.34 spl0_8 <=> ~aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(X0,sdtpldt0(xS,xx))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f165,plain,(
% 0.10/0.34 ![X0]: (~aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(X0,sdtpldt0(xS,xx))|~spl0_8)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f164])).
% 0.10/0.34 fof(f167,plain,(
% 0.10/0.34 spl0_0|spl0_8),
% 0.10/0.34 inference(split_clause,[status(thm)],[f104,f133,f164])).
% 0.10/0.34 fof(f168,plain,(
% 0.10/0.34 spl0_9 <=> ~aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|~X0=xx),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f169,plain,(
% 0.10/0.34 ![X0]: (~aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|~X0=xx|~spl0_9)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f168])).
% 0.10/0.34 fof(f171,plain,(
% 0.10/0.34 spl0_0|spl0_9),
% 0.10/0.34 inference(split_clause,[status(thm)],[f105,f133,f168])).
% 0.10/0.34 fof(f172,plain,(
% 0.10/0.34 spl0_10 <=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|~aElement0(X0)|~aElementOf0(X0,sdtpldt0(xS,xx))|X0=xx),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f173,plain,(
% 0.10/0.34 ![X0]: (aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|~aElement0(X0)|~aElementOf0(X0,sdtpldt0(xS,xx))|X0=xx|~spl0_10)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f172])).
% 0.10/0.34 fof(f176,plain,(
% 0.10/0.34 spl0_11 <=> aElementOf0(sk0_4,sdtmndt0(sdtpldt0(xS,xx),xx))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f177,plain,(
% 0.10/0.34 aElementOf0(sk0_4,sdtmndt0(sdtpldt0(xS,xx),xx))|~spl0_11),
% 0.10/0.34 inference(component_clause,[status(thm)],[f176])).
% 0.10/0.34 fof(f179,plain,(
% 0.10/0.34 spl0_0|spl0_11),
% 0.10/0.34 inference(split_clause,[status(thm)],[f107,f133,f176])).
% 0.10/0.34 fof(f180,plain,(
% 0.10/0.34 spl0_12 <=> aElementOf0(sk0_4,xS)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f183,plain,(
% 0.10/0.34 spl0_0|~spl0_12),
% 0.10/0.34 inference(split_clause,[status(thm)],[f108,f133,f180])).
% 0.10/0.34 fof(f189,plain,(
% 0.10/0.34 ~spl0_0|spl0_2),
% 0.10/0.34 inference(split_clause,[status(thm)],[f121,f133,f140])).
% 0.10/0.34 fof(f191,plain,(
% 0.10/0.34 ~spl0_0|spl0_4),
% 0.10/0.34 inference(split_clause,[status(thm)],[f123,f133,f148])).
% 0.10/0.34 fof(f197,plain,(
% 0.10/0.34 ~spl0_0|spl0_10),
% 0.10/0.34 inference(split_clause,[status(thm)],[f129,f133,f172])).
% 0.10/0.34 fof(f198,plain,(
% 0.10/0.34 spl0_14 <=> aElementOf0(sk0_5,xS)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f199,plain,(
% 0.10/0.34 aElementOf0(sk0_5,xS)|~spl0_14),
% 0.10/0.34 inference(component_clause,[status(thm)],[f198])).
% 0.10/0.34 fof(f201,plain,(
% 0.10/0.34 ~spl0_0|spl0_14),
% 0.10/0.34 inference(split_clause,[status(thm)],[f130,f133,f198])).
% 0.10/0.34 fof(f202,plain,(
% 0.10/0.34 spl0_15 <=> aElementOf0(sk0_5,sdtmndt0(sdtpldt0(xS,xx),xx))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f205,plain,(
% 0.10/0.34 ~spl0_0|~spl0_15),
% 0.10/0.34 inference(split_clause,[status(thm)],[f131,f133,f202])).
% 0.10/0.34 fof(f223,plain,(
% 0.10/0.34 ~aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))|~spl0_9),
% 0.10/0.34 inference(destructive_equality_resolution,[status(esa)],[f169])).
% 0.10/0.34 fof(f226,plain,(
% 0.10/0.34 spl0_17 <=> aElementOf0(sk0_5,sdtpldt0(xS,xx))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f227,plain,(
% 0.10/0.34 aElementOf0(sk0_5,sdtpldt0(xS,xx))|~spl0_17),
% 0.10/0.34 inference(component_clause,[status(thm)],[f226])).
% 0.10/0.34 fof(f229,plain,(
% 0.10/0.34 spl0_18 <=> aElement0(sk0_5)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f232,plain,(
% 0.10/0.34 aElementOf0(sk0_5,sdtpldt0(xS,xx))|~aElement0(sk0_5)|~spl0_4|~spl0_14),
% 0.10/0.34 inference(resolution,[status(thm)],[f149,f199])).
% 0.10/0.34 fof(f233,plain,(
% 0.10/0.34 spl0_17|~spl0_18|~spl0_4|~spl0_14),
% 0.10/0.34 inference(split_clause,[status(thm)],[f232,f226,f229,f148,f198])).
% 0.10/0.34 fof(f234,plain,(
% 0.10/0.34 ![X0]: (aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))|~aElementOf0(X0,sdtpldt0(xS,xx))|X0=xx|~spl0_2|~spl0_10)),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f173,f141])).
% 0.10/0.34 fof(f235,plain,(
% 0.10/0.34 aElementOf0(sk0_4,sdtpldt0(xS,xx))|~spl0_8|~spl0_11),
% 0.10/0.34 inference(resolution,[status(thm)],[f165,f177])).
% 0.10/0.34 fof(f236,plain,(
% 0.10/0.34 spl0_19 <=> sk0_4=xx),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f237,plain,(
% 0.10/0.34 sk0_4=xx|~spl0_19),
% 0.10/0.34 inference(component_clause,[status(thm)],[f236])).
% 0.10/0.34 fof(f241,plain,(
% 0.10/0.34 aElementOf0(sk0_4,xS)|sk0_4=xx|~spl0_3|~spl0_8|~spl0_11),
% 0.10/0.34 inference(resolution,[status(thm)],[f145,f235])).
% 0.10/0.34 fof(f242,plain,(
% 0.10/0.34 spl0_12|spl0_19|~spl0_3|~spl0_8|~spl0_11),
% 0.10/0.34 inference(split_clause,[status(thm)],[f241,f180,f236,f144,f164,f176])).
% 0.10/0.34 fof(f265,plain,(
% 0.10/0.34 spl0_24 <=> aElement0(xx)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f267,plain,(
% 0.10/0.34 ~aElement0(xx)|spl0_24),
% 0.10/0.34 inference(component_clause,[status(thm)],[f265])).
% 0.10/0.34 fof(f270,plain,(
% 0.10/0.34 $false|spl0_24),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f267,f88])).
% 0.10/0.34 fof(f271,plain,(
% 0.10/0.34 spl0_24),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f270])).
% 0.10/0.34 fof(f277,plain,(
% 0.10/0.34 spl0_25 <=> aSet0(xS)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f279,plain,(
% 0.10/0.34 ~aSet0(xS)|spl0_25),
% 0.10/0.34 inference(component_clause,[status(thm)],[f277])).
% 0.10/0.34 fof(f280,plain,(
% 0.10/0.34 ~aSet0(xS)|aElement0(sk0_5)|~spl0_14),
% 0.10/0.34 inference(resolution,[status(thm)],[f29,f199])).
% 0.10/0.34 fof(f281,plain,(
% 0.10/0.34 ~spl0_25|spl0_18|~spl0_14),
% 0.10/0.34 inference(split_clause,[status(thm)],[f280,f277,f229,f198])).
% 0.10/0.34 fof(f282,plain,(
% 0.10/0.34 $false|spl0_25),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f279,f89])).
% 0.10/0.34 fof(f283,plain,(
% 0.10/0.34 spl0_25),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f282])).
% 0.10/0.34 fof(f284,plain,(
% 0.10/0.34 aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))|~spl0_19|~spl0_11),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f237,f177])).
% 0.10/0.34 fof(f285,plain,(
% 0.10/0.34 $false|~spl0_9|~spl0_19|~spl0_11),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f284,f223])).
% 0.10/0.34 fof(f286,plain,(
% 0.10/0.34 ~spl0_9|~spl0_19|~spl0_11),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f285])).
% 0.10/0.34 fof(f291,plain,(
% 0.10/0.34 spl0_26 <=> sk0_5=xx),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f292,plain,(
% 0.10/0.34 sk0_5=xx|~spl0_26),
% 0.10/0.34 inference(component_clause,[status(thm)],[f291])).
% 0.10/0.34 fof(f296,plain,(
% 0.10/0.34 aElementOf0(sk0_5,sdtmndt0(sdtpldt0(xS,xx),xx))|sk0_5=xx|~spl0_17|~spl0_2|~spl0_10),
% 0.10/0.34 inference(resolution,[status(thm)],[f227,f234])).
% 0.10/0.34 fof(f297,plain,(
% 0.10/0.34 spl0_15|spl0_26|~spl0_17|~spl0_2|~spl0_10),
% 0.10/0.34 inference(split_clause,[status(thm)],[f296,f202,f291,f226,f140,f172])).
% 0.10/0.34 fof(f301,plain,(
% 0.10/0.34 aElementOf0(xx,xS)|~spl0_26|~spl0_14),
% 0.10/0.34 inference(backward_demodulation,[status(thm)],[f292,f199])).
% 0.10/0.34 fof(f302,plain,(
% 0.10/0.34 $false|~spl0_26|~spl0_14),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f301,f90])).
% 0.10/0.34 fof(f303,plain,(
% 0.10/0.34 ~spl0_26|~spl0_14),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f302])).
% 0.10/0.34 fof(f304,plain,(
% 0.10/0.34 $false),
% 0.10/0.34 inference(sat_refutation,[status(thm)],[f147,f151,f167,f171,f179,f183,f189,f191,f197,f201,f205,f233,f242,f271,f281,f283,f286,f297,f303])).
% 0.10/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.36 % Elapsed time: 0.020512 seconds
% 0.10/0.36 % CPU time: 0.048461 seconds
% 0.10/0.36 % Total memory used: 13.634 MB
% 0.10/0.36 % Net memory used: 13.597 MB
%------------------------------------------------------------------------------