TSTP Solution File: LCL455+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL455+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 : Wed May 31 12:19:21 EDT 2023
% Result : Theorem 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL455+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 09:39:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.21/0.59 % Refutation found
% 0.21/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.59 fof(f11,axiom,(
% 0.21/0.59 ( or_2<=> (! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) )) ),
% 0.21/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.59 fof(f23,axiom,(
% 0.21/0.59 ( r2<=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) )) ),
% 0.21/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.59 fof(f44,axiom,(
% 0.21/0.59 or_2 ),
% 0.21/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.59 fof(f53,conjecture,(
% 0.21/0.59 r2 ),
% 0.21/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.59 fof(f54,negated_conjecture,(
% 0.21/0.59 ~(r2 )),
% 0.21/0.59 inference(negated_conjecture,[status(cth)],[f53])).
% 0.21/0.59 fof(f101,plain,(
% 0.21/0.59 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|(?[X,Y]: ~is_a_theorem(implies(Y,or(X,Y)))))),
% 0.21/0.59 inference(NNF_transformation,[status(esa)],[f11])).
% 0.21/0.59 fof(f102,plain,(
% 0.21/0.59 (~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))))),
% 0.21/0.59 inference(skolemization,[status(esa)],[f101])).
% 0.21/0.59 fof(f103,plain,(
% 0.21/0.59 ![X0,X1]: (~or_2|is_a_theorem(implies(X0,or(X1,X0))))),
% 0.21/0.59 inference(cnf_transformation,[status(esa)],[f102])).
% 0.21/0.59 fof(f149,plain,(
% 0.21/0.59 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|(?[P,Q]: ~is_a_theorem(implies(Q,or(P,Q)))))),
% 0.21/0.59 inference(NNF_transformation,[status(esa)],[f23])).
% 0.21/0.59 fof(f150,plain,(
% 0.21/0.59 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|~is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46))))),
% 0.21/0.59 inference(skolemization,[status(esa)],[f149])).
% 0.21/0.59 fof(f152,plain,(
% 0.21/0.59 r2|~is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46)))),
% 0.21/0.59 inference(cnf_transformation,[status(esa)],[f150])).
% 0.21/0.59 fof(f187,plain,(
% 0.21/0.59 or_2),
% 0.21/0.59 inference(cnf_transformation,[status(esa)],[f44])).
% 0.21/0.59 fof(f196,plain,(
% 0.21/0.59 ~r2),
% 0.21/0.59 inference(cnf_transformation,[status(esa)],[f54])).
% 0.21/0.59 fof(f319,plain,(
% 0.21/0.59 spl0_33 <=> or_2),
% 0.21/0.59 introduced(split_symbol_definition)).
% 0.21/0.59 fof(f321,plain,(
% 0.21/0.59 ~or_2|spl0_33),
% 0.21/0.59 inference(component_clause,[status(thm)],[f319])).
% 0.21/0.59 fof(f322,plain,(
% 0.21/0.59 spl0_34 <=> is_a_theorem(implies(X0,or(X1,X0)))),
% 0.21/0.59 introduced(split_symbol_definition)).
% 0.21/0.59 fof(f323,plain,(
% 0.21/0.59 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0)))|~spl0_34)),
% 0.21/0.59 inference(component_clause,[status(thm)],[f322])).
% 0.21/0.59 fof(f325,plain,(
% 0.21/0.59 ~spl0_33|spl0_34),
% 0.21/0.59 inference(split_clause,[status(thm)],[f103,f319,f322])).
% 0.21/0.59 fof(f445,plain,(
% 0.21/0.59 spl0_67 <=> r2),
% 0.21/0.59 introduced(split_symbol_definition)).
% 0.21/0.59 fof(f446,plain,(
% 0.21/0.59 r2|~spl0_67),
% 0.21/0.59 inference(component_clause,[status(thm)],[f445])).
% 0.21/0.59 fof(f449,plain,(
% 0.21/0.59 spl0_68 <=> is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46)))),
% 0.21/0.59 introduced(split_symbol_definition)).
% 0.21/0.59 fof(f451,plain,(
% 0.21/0.59 ~is_a_theorem(implies(sk0_46,or(sk0_45,sk0_46)))|spl0_68),
% 0.21/0.59 inference(component_clause,[status(thm)],[f449])).
% 0.21/0.59 fof(f452,plain,(
% 0.21/0.59 spl0_67|~spl0_68),
% 0.21/0.59 inference(split_clause,[status(thm)],[f152,f445,f449])).
% 0.21/0.59 fof(f537,plain,(
% 0.21/0.59 $false|~spl0_34|spl0_68),
% 0.21/0.59 inference(forward_subsumption_resolution,[status(thm)],[f451,f323])).
% 0.21/0.59 fof(f538,plain,(
% 0.21/0.59 ~spl0_34|spl0_68),
% 0.21/0.59 inference(contradiction_clause,[status(thm)],[f537])).
% 0.21/0.59 fof(f539,plain,(
% 0.21/0.59 $false|spl0_33),
% 0.21/0.59 inference(forward_subsumption_resolution,[status(thm)],[f321,f187])).
% 0.21/0.59 fof(f540,plain,(
% 0.21/0.59 spl0_33),
% 0.21/0.59 inference(contradiction_clause,[status(thm)],[f539])).
% 0.21/0.59 fof(f541,plain,(
% 0.21/0.59 $false|~spl0_67),
% 0.21/0.59 inference(forward_subsumption_resolution,[status(thm)],[f446,f196])).
% 0.21/0.59 fof(f542,plain,(
% 0.21/0.59 ~spl0_67),
% 0.21/0.59 inference(contradiction_clause,[status(thm)],[f541])).
% 0.21/0.59 fof(f543,plain,(
% 0.21/0.59 $false),
% 0.21/0.59 inference(sat_refutation,[status(thm)],[f325,f452,f538,f540,f542])).
% 0.21/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.59 % Elapsed time: 0.016293 seconds
% 0.21/0.59 % CPU time: 0.035028 seconds
% 0.21/0.59 % Memory used: 12.493 MB
%------------------------------------------------------------------------------