TSTP Solution File: LCL512+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:27:21 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.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 : Mon Apr 29 20:25:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f13,axiom,(
% 0.13/0.36 ( equivalence_1<=> (! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) )) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f17,axiom,(
% 0.13/0.36 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f31,axiom,(
% 0.13/0.36 ( op_equiv=> (! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) )) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f34,axiom,(
% 0.13/0.36 op_equiv ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f37,axiom,(
% 0.13/0.36 kn2 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f43,conjecture,(
% 0.13/0.36 equivalence_1 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f44,negated_conjecture,(
% 0.13/0.36 ~(equivalence_1 )),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f43])).
% 0.13/0.36 fof(f99,plain,(
% 0.13/0.36 (~equivalence_1|(![X,Y]: is_a_theorem(implies(equiv(X,Y),implies(X,Y)))))&(equivalence_1|(?[X,Y]: ~is_a_theorem(implies(equiv(X,Y),implies(X,Y)))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f100,plain,(
% 0.13/0.36 (~equivalence_1|(![X,Y]: is_a_theorem(implies(equiv(X,Y),implies(X,Y)))))&(equivalence_1|~is_a_theorem(implies(equiv(sk0_26,sk0_27),implies(sk0_26,sk0_27))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f99])).
% 0.13/0.36 fof(f102,plain,(
% 0.13/0.36 equivalence_1|~is_a_theorem(implies(equiv(sk0_26,sk0_27),implies(sk0_26,sk0_27)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.36 fof(f115,plain,(
% 0.13/0.36 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f17])).
% 0.13/0.36 fof(f116,plain,(
% 0.13/0.36 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33)))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f115])).
% 0.13/0.36 fof(f117,plain,(
% 0.13/0.36 ![X0,X1]: (~kn2|is_a_theorem(implies(and(X0,X1),X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f116])).
% 0.13/0.36 fof(f163,plain,(
% 0.13/0.36 ~op_equiv|(![X,Y]: equiv(X,Y)=and(implies(X,Y),implies(Y,X)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.13/0.36 fof(f164,plain,(
% 0.13/0.36 ![X0,X1]: (~op_equiv|equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f163])).
% 0.13/0.36 fof(f167,plain,(
% 0.13/0.36 op_equiv),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.36 fof(f170,plain,(
% 0.13/0.36 kn2),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.36 fof(f176,plain,(
% 0.13/0.36 ~equivalence_1),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f44])).
% 0.13/0.36 fof(f258,plain,(
% 0.13/0.36 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f259,plain,(
% 0.13/0.36 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f258])).
% 0.13/0.36 fof(f321,plain,(
% 0.13/0.36 spl0_39 <=> equivalence_1),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f322,plain,(
% 0.13/0.36 equivalence_1|~spl0_39),
% 0.13/0.36 inference(component_clause,[status(thm)],[f321])).
% 0.13/0.36 fof(f324,plain,(
% 0.13/0.36 spl0_40 <=> is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f325,plain,(
% 0.13/0.36 ![X0,X1]: (is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))|~spl0_40)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f324])).
% 0.13/0.36 fof(f328,plain,(
% 0.13/0.36 spl0_41 <=> is_a_theorem(implies(equiv(sk0_26,sk0_27),implies(sk0_26,sk0_27)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f330,plain,(
% 0.13/0.36 ~is_a_theorem(implies(equiv(sk0_26,sk0_27),implies(sk0_26,sk0_27)))|spl0_41),
% 0.13/0.36 inference(component_clause,[status(thm)],[f328])).
% 0.13/0.36 fof(f331,plain,(
% 0.13/0.36 spl0_39|~spl0_41),
% 0.13/0.36 inference(split_clause,[status(thm)],[f102,f321,f328])).
% 0.13/0.36 fof(f365,plain,(
% 0.13/0.36 spl0_51 <=> kn2),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f367,plain,(
% 0.13/0.36 ~kn2|spl0_51),
% 0.13/0.36 inference(component_clause,[status(thm)],[f365])).
% 0.13/0.36 fof(f368,plain,(
% 0.13/0.36 ~spl0_51|spl0_22),
% 0.13/0.36 inference(split_clause,[status(thm)],[f117,f365,f258])).
% 0.13/0.36 fof(f494,plain,(
% 0.13/0.36 spl0_86 <=> op_equiv),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f496,plain,(
% 0.13/0.36 ~op_equiv|spl0_86),
% 0.13/0.36 inference(component_clause,[status(thm)],[f494])).
% 0.13/0.37 fof(f497,plain,(
% 0.13/0.37 spl0_87 <=> equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f498,plain,(
% 0.13/0.37 ![X0,X1]: (equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))|~spl0_87)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f497])).
% 0.13/0.37 fof(f500,plain,(
% 0.13/0.37 ~spl0_86|spl0_87),
% 0.13/0.37 inference(split_clause,[status(thm)],[f164,f494,f497])).
% 0.13/0.37 fof(f501,plain,(
% 0.13/0.37 $false|spl0_86),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f496,f167])).
% 0.13/0.37 fof(f502,plain,(
% 0.13/0.37 spl0_86),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f501])).
% 0.13/0.37 fof(f517,plain,(
% 0.13/0.37 $false|spl0_51),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f367,f170])).
% 0.13/0.37 fof(f518,plain,(
% 0.13/0.37 spl0_51),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f517])).
% 0.13/0.37 fof(f547,plain,(
% 0.13/0.37 $false|~spl0_40|spl0_41),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f330,f325])).
% 0.13/0.37 fof(f548,plain,(
% 0.13/0.37 ~spl0_40|spl0_41),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f547])).
% 0.13/0.37 fof(f563,plain,(
% 0.13/0.37 ![X0,X1]: (is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))|~spl0_22|~spl0_87)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f498,f259])).
% 0.13/0.37 fof(f564,plain,(
% 0.13/0.37 spl0_40|~spl0_22|~spl0_87),
% 0.13/0.37 inference(split_clause,[status(thm)],[f563,f324,f258,f497])).
% 0.13/0.37 fof(f567,plain,(
% 0.13/0.37 $false|~spl0_39),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f322,f176])).
% 0.13/0.37 fof(f568,plain,(
% 0.13/0.37 ~spl0_39),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f567])).
% 0.13/0.37 fof(f569,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f331,f368,f500,f502,f518,f548,f564,f568])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.023580 seconds
% 0.13/0.38 % CPU time: 0.038787 seconds
% 0.13/0.38 % Total memory used: 11.950 MB
% 0.13/0.38 % Net memory used: 11.911 MB
%------------------------------------------------------------------------------