TSTP Solution File: LCL506+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL506+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:19:29 EDT 2023
% Result : Theorem 0.16s 0.57s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL506+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n019.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 09:49:11 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.16/0.57 % Refutation found
% 0.16/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.57 fof(f7,axiom,(
% 0.16/0.57 ( and_1<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)) )) ),
% 0.16/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.57 fof(f17,axiom,(
% 0.16/0.57 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 0.16/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.57 fof(f37,axiom,(
% 0.16/0.57 kn2 ),
% 0.16/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.57 fof(f43,conjecture,(
% 0.16/0.57 and_1 ),
% 0.16/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.57 fof(f44,negated_conjecture,(
% 0.16/0.57 ~(and_1 )),
% 0.16/0.57 inference(negated_conjecture,[status(cth)],[f43])).
% 0.16/0.57 fof(f75,plain,(
% 0.16/0.57 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),X))))),
% 0.16/0.57 inference(NNF_transformation,[status(esa)],[f7])).
% 0.16/0.57 fof(f76,plain,(
% 0.16/0.57 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|~is_a_theorem(implies(and(sk0_13,sk0_14),sk0_13)))),
% 0.16/0.57 inference(skolemization,[status(esa)],[f75])).
% 0.16/0.57 fof(f78,plain,(
% 0.16/0.57 and_1|~is_a_theorem(implies(and(sk0_13,sk0_14),sk0_13))),
% 0.16/0.57 inference(cnf_transformation,[status(esa)],[f76])).
% 0.16/0.57 fof(f115,plain,(
% 0.16/0.57 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 0.16/0.57 inference(NNF_transformation,[status(esa)],[f17])).
% 0.16/0.57 fof(f116,plain,(
% 0.16/0.57 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33)))),
% 0.16/0.57 inference(skolemization,[status(esa)],[f115])).
% 0.16/0.57 fof(f117,plain,(
% 0.16/0.57 ![X0,X1]: (~kn2|is_a_theorem(implies(and(X0,X1),X0)))),
% 0.16/0.57 inference(cnf_transformation,[status(esa)],[f116])).
% 0.16/0.57 fof(f170,plain,(
% 0.16/0.57 kn2),
% 0.16/0.57 inference(cnf_transformation,[status(esa)],[f37])).
% 0.16/0.57 fof(f176,plain,(
% 0.16/0.57 ~and_1),
% 0.16/0.57 inference(cnf_transformation,[status(esa)],[f44])).
% 0.16/0.57 fof(f255,plain,(
% 0.16/0.57 spl0_21 <=> and_1),
% 0.16/0.57 introduced(split_symbol_definition)).
% 0.16/0.57 fof(f256,plain,(
% 0.16/0.57 and_1|~spl0_21),
% 0.16/0.57 inference(component_clause,[status(thm)],[f255])).
% 0.16/0.57 fof(f258,plain,(
% 0.16/0.57 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 0.16/0.57 introduced(split_symbol_definition)).
% 0.16/0.57 fof(f259,plain,(
% 0.16/0.57 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 0.16/0.57 inference(component_clause,[status(thm)],[f258])).
% 0.16/0.57 fof(f262,plain,(
% 0.16/0.57 spl0_23 <=> is_a_theorem(implies(and(sk0_13,sk0_14),sk0_13))),
% 0.16/0.57 introduced(split_symbol_definition)).
% 0.16/0.57 fof(f264,plain,(
% 0.16/0.57 ~is_a_theorem(implies(and(sk0_13,sk0_14),sk0_13))|spl0_23),
% 0.16/0.57 inference(component_clause,[status(thm)],[f262])).
% 0.16/0.57 fof(f265,plain,(
% 0.16/0.57 spl0_21|~spl0_23),
% 0.16/0.57 inference(split_clause,[status(thm)],[f78,f255,f262])).
% 0.16/0.57 fof(f365,plain,(
% 0.16/0.57 spl0_51 <=> kn2),
% 0.16/0.57 introduced(split_symbol_definition)).
% 0.16/0.57 fof(f367,plain,(
% 0.16/0.57 ~kn2|spl0_51),
% 0.16/0.57 inference(component_clause,[status(thm)],[f365])).
% 0.16/0.57 fof(f368,plain,(
% 0.16/0.57 ~spl0_51|spl0_22),
% 0.16/0.57 inference(split_clause,[status(thm)],[f117,f365,f258])).
% 0.16/0.57 fof(f517,plain,(
% 0.16/0.57 $false|spl0_51),
% 0.16/0.57 inference(forward_subsumption_resolution,[status(thm)],[f367,f170])).
% 0.16/0.57 fof(f518,plain,(
% 0.16/0.57 spl0_51),
% 0.16/0.57 inference(contradiction_clause,[status(thm)],[f517])).
% 0.16/0.57 fof(f531,plain,(
% 0.16/0.57 $false|~spl0_22|spl0_23),
% 0.16/0.57 inference(forward_subsumption_resolution,[status(thm)],[f264,f259])).
% 0.16/0.57 fof(f532,plain,(
% 0.16/0.57 ~spl0_22|spl0_23),
% 0.16/0.57 inference(contradiction_clause,[status(thm)],[f531])).
% 0.16/0.57 fof(f533,plain,(
% 0.16/0.57 $false|~spl0_21),
% 0.16/0.57 inference(forward_subsumption_resolution,[status(thm)],[f256,f176])).
% 0.16/0.57 fof(f534,plain,(
% 0.16/0.57 ~spl0_21),
% 0.16/0.57 inference(contradiction_clause,[status(thm)],[f533])).
% 0.16/0.57 fof(f535,plain,(
% 0.16/0.57 $false),
% 0.16/0.57 inference(sat_refutation,[status(thm)],[f265,f368,f518,f532,f534])).
% 0.16/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.57 % Elapsed time: 0.028244 seconds
% 0.16/0.57 % CPU time: 0.014047 seconds
% 0.16/0.57 % Memory used: 3.127 MB
%------------------------------------------------------------------------------