%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 01:09:40 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:19:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,conjecture,(
% 0.10/0.41 ( ( ( p| q )=> ( p| r ) )=> ( p| ( q=> r ) ) ) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,negated_conjecture,(
% 0.10/0.41 ~(( ( ( p| q )=> ( p| r ) )=> ( p| ( q=> r ) ) ) )),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.41 fof(f3,plain,(
% 0.10/0.41 (((~p&~q)|(p|r))&(~p&(q&~r)))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f5,plain,(
% 0.10/0.41 ~q|p|r),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f6,plain,(
% 0.10/0.41 ~p),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f7,plain,(
% 0.10/0.41 q),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f8,plain,(
% 0.10/0.41 ~r),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f9,definition,(
% 0.10/0.41 sQ0_spl <=> (p)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f10,plain,(
% 0.10/0.41 p|~sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f9])).
% 0.10/0.41 fof(f12,definition,(
% 0.10/0.41 sQ1_spl <=> (r)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f13,plain,(
% 0.10/0.41 r|~sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f12])).
% 0.10/0.41 fof(f16,definition,(
% 0.10/0.41 sQ2_spl <=> (q)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f18,plain,(
% 0.10/0.41 ~q|sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f16])).
% 0.10/0.41 fof(f19,plain,(
% 0.10/0.41 ~sQ2_spl|sQ0_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f5,f16,f9,f12])).
% 0.10/0.41 fof(f20,plain,(
% 0.10/0.41 $false|~sQ1_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f13,f8])).
% 0.10/0.41 fof(f21,plain,(
% 0.10/0.41 ~sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f20])).
% 0.10/0.41 fof(f22,plain,(
% 0.10/0.41 $false|sQ2_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f18,f7])).
% 0.10/0.41 fof(f23,plain,(
% 0.10/0.41 sQ2_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f22])).
% 0.10/0.41 fof(f24,plain,(
% 0.10/0.41 $false|~sQ0_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f10,f6])).
% 0.10/0.41 fof(f25,plain,(
% 0.10/0.41 ~sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f24])).
% 0.10/0.41 fof(f26,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f19,f21,f23,f25])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.061168 seconds
% 0.13/0.44 % CPU time: 0.145250 seconds
% 0.13/0.44 % Total memory used: 16.435 MB
% 0.13/0.44 % Net memory used: 15.835 MB
%------------------------------------------------------------------------------