%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:10:07 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 21 00:36:03 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f11,axiom,(
% 0.13/0.43 ( or_2<=> (! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) )) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f23,axiom,(
% 0.13/0.43 ( r2<=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) )) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f44,axiom,(
% 0.13/0.43 or_2 ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f53,conjecture,(
% 0.13/0.43 r2 ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f54,negated_conjecture,(
% 0.13/0.43 ~(r2 )),
% 0.13/0.43 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.43 fof(f101,plain,(
% 0.13/0.43 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|(?[X,Y]: ~is_a_theorem(implies(Y,or(X,Y)))))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f11])).
% 0.13/0.43 fof(f102,plain,(
% 0.13/0.43 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|~is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))))),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl]),skolemize(X,sK21_skl),skolemize(Y,sK22_skl)],[f101])).
% 0.13/0.43 fof(f103,plain,(
% 0.13/0.43 ![X0,X1]: (~or_2|is_a_theorem(implies(X0,or(X1,X0))))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f102])).
% 0.13/0.43 fof(f149,plain,(
% 0.13/0.43 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|(?[P,Q]: ~is_a_theorem(implies(Q,or(P,Q)))))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f23])).
% 0.13/0.43 fof(f150,plain,(
% 0.13/0.43 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|~is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))))),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK45_skl,sK46_skl]),skolemize(P,sK45_skl),skolemize(Q,sK46_skl)],[f149])).
% 0.13/0.43 fof(f152,plain,(
% 0.13/0.43 r2|~is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f150])).
% 0.13/0.43 fof(f187,plain,(
% 0.13/0.43 or_2),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.43 fof(f196,plain,(
% 0.13/0.43 ~r2),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f54])).
% 0.13/0.43 fof(f209,plain,(
% 0.13/0.43 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0))))),
% 0.13/0.43 inference(backward_subsumption_resolution,[status(thm)],[f103,f187])).
% 0.13/0.43 fof(f217,plain,(
% 0.13/0.43 ~is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl)))),
% 0.13/0.43 inference(backward_subsumption_resolution,[status(thm)],[f152,f196])).
% 0.13/0.43 fof(f222,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f217,f209])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.47 % Elapsed time: 0.064653 seconds
% 0.13/0.47 % CPU time: 0.174092 seconds
% 0.13/0.47 % Total memory used: 82.953 MB
% 0.13/0.47 % Net memory used: 82.906 MB
%------------------------------------------------------------------------------