TSTP Solution File: LCL491+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL491+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:27:18 EDT 2024
% Result : Theorem 0.17s 0.34s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL491+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n011.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 20:33:01 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.33 % Drodi V3.6.0
% 0.17/0.34 % Refutation found
% 0.17/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.34 fof(f11,axiom,(
% 0.17/0.34 ( or_2<=> (! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) )) ),
% 0.17/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.34 fof(f23,axiom,(
% 0.17/0.34 ( r2<=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) )) ),
% 0.17/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.34 fof(f37,axiom,(
% 0.17/0.34 r2 ),
% 0.17/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.34 fof(f45,conjecture,(
% 0.17/0.34 or_2 ),
% 0.17/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.34 fof(f46,negated_conjecture,(
% 0.17/0.34 ~(or_2 )),
% 0.17/0.34 inference(negated_conjecture,[status(cth)],[f45])).
% 0.17/0.34 fof(f93,plain,(
% 0.17/0.34 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|(?[X,Y]: ~is_a_theorem(implies(Y,or(X,Y)))))),
% 0.17/0.34 inference(NNF_transformation,[status(esa)],[f11])).
% 0.17/0.34 fof(f94,plain,(
% 0.17/0.34 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|~is_a_theorem(implies(sk0_22,or(sk0_21,sk0_22))))),
% 0.17/0.34 inference(skolemization,[status(esa)],[f93])).
% 0.17/0.34 fof(f96,plain,(
% 0.17/0.34 or_2|~is_a_theorem(implies(sk0_22,or(sk0_21,sk0_22)))),
% 0.17/0.34 inference(cnf_transformation,[status(esa)],[f94])).
% 0.17/0.34 fof(f141,plain,(
% 0.17/0.34 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|(?[P,Q]: ~is_a_theorem(implies(Q,or(P,Q)))))),
% 0.17/0.34 inference(NNF_transformation,[status(esa)],[f23])).
% 0.17/0.34 fof(f142,plain,(
% 0.17/0.34 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|~is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46))))),
% 0.17/0.34 inference(skolemization,[status(esa)],[f141])).
% 0.17/0.34 fof(f143,plain,(
% 0.17/0.34 ![X0,X1]: (~r2|is_a_theorem(implies(X0,or(X1,X0))))),
% 0.17/0.34 inference(cnf_transformation,[status(esa)],[f142])).
% 0.17/0.34 fof(f172,plain,(
% 0.17/0.34 r2),
% 0.17/0.34 inference(cnf_transformation,[status(esa)],[f37])).
% 0.17/0.34 fof(f180,plain,(
% 0.17/0.34 ~or_2),
% 0.17/0.34 inference(cnf_transformation,[status(esa)],[f46])).
% 0.17/0.34 fof(f303,plain,(
% 0.17/0.34 spl0_33 <=> or_2),
% 0.17/0.34 introduced(split_symbol_definition)).
% 0.17/0.34 fof(f304,plain,(
% 0.17/0.34 or_2|~spl0_33),
% 0.17/0.34 inference(component_clause,[status(thm)],[f303])).
% 0.17/0.34 fof(f306,plain,(
% 0.17/0.34 spl0_34 <=> is_a_theorem(implies(X0,or(X1,X0)))),
% 0.17/0.34 introduced(split_symbol_definition)).
% 0.17/0.34 fof(f307,plain,(
% 0.17/0.34 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0)))|~spl0_34)),
% 0.17/0.34 inference(component_clause,[status(thm)],[f306])).
% 0.17/0.34 fof(f310,plain,(
% 0.17/0.34 spl0_35 <=> is_a_theorem(implies(sk0_22,or(sk0_21,sk0_22)))),
% 0.17/0.34 introduced(split_symbol_definition)).
% 0.17/0.34 fof(f312,plain,(
% 0.17/0.34 ~is_a_theorem(implies(sk0_22,or(sk0_21,sk0_22)))|spl0_35),
% 0.17/0.34 inference(component_clause,[status(thm)],[f310])).
% 0.17/0.34 fof(f313,plain,(
% 0.17/0.34 spl0_33|~spl0_35),
% 0.17/0.34 inference(split_clause,[status(thm)],[f96,f303,f310])).
% 0.17/0.34 fof(f429,plain,(
% 0.17/0.34 spl0_67 <=> r2),
% 0.17/0.34 introduced(split_symbol_definition)).
% 0.17/0.34 fof(f431,plain,(
% 0.17/0.34 ~r2|spl0_67),
% 0.17/0.34 inference(component_clause,[status(thm)],[f429])).
% 0.17/0.34 fof(f432,plain,(
% 0.17/0.34 ~spl0_67|spl0_34),
% 0.17/0.34 inference(split_clause,[status(thm)],[f143,f429,f306])).
% 0.17/0.34 fof(f523,plain,(
% 0.17/0.34 $false|spl0_67),
% 0.17/0.34 inference(forward_subsumption_resolution,[status(thm)],[f431,f172])).
% 0.17/0.34 fof(f524,plain,(
% 0.17/0.34 spl0_67),
% 0.17/0.34 inference(contradiction_clause,[status(thm)],[f523])).
% 0.17/0.34 fof(f536,plain,(
% 0.17/0.34 $false|~spl0_34|spl0_35),
% 0.17/0.34 inference(forward_subsumption_resolution,[status(thm)],[f312,f307])).
% 0.17/0.34 fof(f537,plain,(
% 0.17/0.34 ~spl0_34|spl0_35),
% 0.17/0.34 inference(contradiction_clause,[status(thm)],[f536])).
% 0.17/0.34 fof(f538,plain,(
% 0.17/0.34 $false|~spl0_33),
% 0.17/0.34 inference(forward_subsumption_resolution,[status(thm)],[f304,f180])).
% 0.17/0.34 fof(f539,plain,(
% 0.17/0.34 ~spl0_33),
% 0.17/0.34 inference(contradiction_clause,[status(thm)],[f538])).
% 0.17/0.34 fof(f540,plain,(
% 0.17/0.34 $false),
% 0.17/0.34 inference(sat_refutation,[status(thm)],[f313,f432,f524,f537,f539])).
% 0.17/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.35 % Elapsed time: 0.018563 seconds
% 0.17/0.35 % CPU time: 0.028416 seconds
% 0.17/0.35 % Total memory used: 11.898 MB
% 0.17/0.35 % Net memory used: 11.880 MB
%------------------------------------------------------------------------------