TSTP Solution File: SET786+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET786+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Wed May 31 12:35:11 EDT 2023
% Result : Theorem 0.21s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET786+1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:11:49 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.21/0.37 % Refutation found
% 0.21/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.37 fof(f1,conjecture,(
% 0.21/0.37 ~ (? [Y] :(! [X] :( element(X,Y)<=> ~ (? [Z] :( element(X,Z)& element(Z,X) ) )) ))),
% 0.21/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.37 fof(f2,negated_conjecture,(
% 0.21/0.37 ~(~ (? [Y] :(! [X] :( element(X,Y)<=> ~ (? [Z] :( element(X,Z)& element(Z,X) ) )) )))),
% 0.21/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.37 fof(f3,plain,(
% 0.21/0.37 ?[Y]: (![X]: (element(X,Y)<=>(![Z]: (~element(X,Z)|~element(Z,X)))))),
% 0.21/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.21/0.37 fof(f4,plain,(
% 0.21/0.37 ?[Y]: ![X]: ((~element(X,Y)|(![Z]: (~element(X,Z)|~element(Z,X))))&(element(X,Y)|(?[Z]: (element(X,Z)&element(Z,X)))))),
% 0.21/0.37 inference(NNF_transformation,[status(esa)],[f3])).
% 0.21/0.37 fof(f5,plain,(
% 0.21/0.37 ?[Y]: ((![X]: (~element(X,Y)|(![Z]: (~element(X,Z)|~element(Z,X)))))&(![X]: (element(X,Y)|(?[Z]: (element(X,Z)&element(Z,X))))))),
% 0.21/0.37 inference(miniscoping,[status(esa)],[f4])).
% 0.21/0.37 fof(f6,plain,(
% 0.21/0.37 ((![X]: (~element(X,sk0_0)|(![Z]: (~element(X,Z)|~element(Z,X)))))&(![X]: (element(X,sk0_0)|(element(X,sk0_1(X))&element(sk0_1(X),X)))))),
% 0.21/0.37 inference(skolemization,[status(esa)],[f5])).
% 0.21/0.37 fof(f7,plain,(
% 0.21/0.37 ![X0,X1]: (~element(X0,sk0_0)|~element(X0,X1)|~element(X1,X0))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.37 fof(f8,plain,(
% 0.21/0.37 ![X0]: (element(X0,sk0_0)|element(X0,sk0_1(X0)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.37 fof(f9,plain,(
% 0.21/0.37 ![X0]: (element(X0,sk0_0)|element(sk0_1(X0),X0))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.37 fof(f10,plain,(
% 0.21/0.37 spl0_0 <=> ~element(sk0_1(sk0_0),X0)|~element(X0,sk0_1(sk0_0))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f11,plain,(
% 0.21/0.37 ![X0]: (~element(sk0_1(sk0_0),X0)|~element(X0,sk0_1(sk0_0))|~spl0_0)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f10])).
% 0.21/0.37 fof(f13,plain,(
% 0.21/0.37 spl0_1 <=> element(sk0_0,sk0_0)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f14,plain,(
% 0.21/0.37 element(sk0_0,sk0_0)|~spl0_1),
% 0.21/0.37 inference(component_clause,[status(thm)],[f13])).
% 0.21/0.37 fof(f16,plain,(
% 0.21/0.37 ![X0]: (~element(sk0_1(sk0_0),X0)|~element(X0,sk0_1(sk0_0))|element(sk0_0,sk0_0))),
% 0.21/0.37 inference(resolution,[status(thm)],[f7,f9])).
% 0.21/0.37 fof(f17,plain,(
% 0.21/0.37 spl0_0|spl0_1),
% 0.21/0.37 inference(split_clause,[status(thm)],[f16,f10,f13])).
% 0.21/0.37 fof(f18,plain,(
% 0.21/0.37 spl0_2 <=> element(sk0_0,sk0_1(sk0_0))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f20,plain,(
% 0.21/0.37 ~element(sk0_0,sk0_1(sk0_0))|spl0_2),
% 0.21/0.37 inference(component_clause,[status(thm)],[f18])).
% 0.21/0.37 fof(f21,plain,(
% 0.21/0.37 ~element(sk0_0,sk0_1(sk0_0))|element(sk0_0,sk0_0)|~spl0_0),
% 0.21/0.37 inference(resolution,[status(thm)],[f11,f9])).
% 0.21/0.37 fof(f22,plain,(
% 0.21/0.37 ~spl0_2|spl0_1|~spl0_0),
% 0.21/0.37 inference(split_clause,[status(thm)],[f21,f18,f13,f10])).
% 0.21/0.37 fof(f31,plain,(
% 0.21/0.37 element(sk0_0,sk0_0)|spl0_2),
% 0.21/0.37 inference(resolution,[status(thm)],[f20,f8])).
% 0.21/0.37 fof(f33,plain,(
% 0.21/0.37 ![X0]: (~element(sk0_0,X0)|~element(X0,sk0_0)|spl0_2)),
% 0.21/0.37 inference(resolution,[status(thm)],[f31,f7])).
% 0.21/0.37 fof(f34,plain,(
% 0.21/0.37 ~element(sk0_0,sk0_0)|spl0_2),
% 0.21/0.37 inference(resolution,[status(thm)],[f33,f31])).
% 0.21/0.37 fof(f35,plain,(
% 0.21/0.37 $false|spl0_2),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f34,f31])).
% 0.21/0.37 fof(f36,plain,(
% 0.21/0.37 spl0_2),
% 0.21/0.37 inference(contradiction_clause,[status(thm)],[f35])).
% 0.21/0.37 fof(f37,plain,(
% 0.21/0.37 ![X0]: (~element(sk0_0,X0)|~element(X0,sk0_0)|~spl0_1)),
% 0.21/0.37 inference(resolution,[status(thm)],[f14,f7])).
% 0.21/0.37 fof(f38,plain,(
% 0.21/0.37 ~element(sk0_0,sk0_0)|~spl0_1),
% 0.21/0.37 inference(resolution,[status(thm)],[f37,f14])).
% 0.21/0.37 fof(f39,plain,(
% 0.21/0.37 $false|~spl0_1),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f38,f14])).
% 0.21/0.37 fof(f40,plain,(
% 0.21/0.37 ~spl0_1),
% 0.21/0.37 inference(contradiction_clause,[status(thm)],[f39])).
% 0.21/0.37 fof(f41,plain,(
% 0.21/0.37 $false),
% 0.21/0.37 inference(sat_refutation,[status(thm)],[f17,f22,f36,f40])).
% 0.21/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.62 % Elapsed time: 0.045452 seconds
% 0.22/0.62 % CPU time: 0.017795 seconds
% 0.22/0.62 % Memory used: 473.435 KB
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