%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL230-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 : Unsatisfiable 0.04s 0.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL230-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Mon Sep 21 00:13:22 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.04/0.31 % Refutation found
% 0.04/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.31 fof(f1,negated_conjecture,(
% 0.04/0.31 ( ~ q| p| r ) ),
% 0.04/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f2,negated_conjecture,(
% 0.04/0.31 ~ p ),
% 0.04/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f3,negated_conjecture,(
% 0.04/0.31 q ),
% 0.04/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f4,negated_conjecture,(
% 0.04/0.31 ~ r ),
% 0.04/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.31 fof(f5,plain,(
% 0.04/0.31 ~q|p|r),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f1])).
% 0.04/0.31 fof(f6,plain,(
% 0.04/0.31 ~p),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f2])).
% 0.04/0.31 fof(f7,plain,(
% 0.04/0.31 q),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f3])).
% 0.04/0.31 fof(f8,plain,(
% 0.04/0.31 ~r),
% 0.04/0.31 inference(cnf_transformation,[status(thm)],[f4])).
% 0.04/0.31 fof(f9,definition,(
% 0.04/0.31 sQ0_spl <=> (q)),
% 0.04/0.31 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.04/0.31 fof(f11,plain,(
% 0.04/0.31 ~q|sQ0_spl),
% 0.04/0.31 inference(component_clause,[status(thm)],[f9])).
% 0.04/0.31 fof(f12,definition,(
% 0.04/0.31 sQ1_spl <=> (p)),
% 0.04/0.31 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.04/0.31 fof(f13,plain,(
% 0.04/0.31 p|~sQ1_spl),
% 0.04/0.31 inference(component_clause,[status(thm)],[f12])).
% 0.04/0.31 fof(f15,definition,(
% 0.04/0.31 sQ2_spl <=> (r)),
% 0.04/0.31 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.04/0.31 fof(f16,plain,(
% 0.04/0.31 r|~sQ2_spl),
% 0.04/0.31 inference(component_clause,[status(thm)],[f15])).
% 0.04/0.31 fof(f18,plain,(
% 0.04/0.31 ~sQ0_spl|sQ1_spl|sQ2_spl),
% 0.04/0.31 inference(split_clause,[status(thm)],[f5,f9,f12,f15])).
% 0.04/0.31 fof(f19,plain,(
% 0.04/0.31 $false|~sQ2_spl),
% 0.04/0.31 inference(forward_subsumption_resolution,[status(thm)],[f16,f8])).
% 0.04/0.31 fof(f20,plain,(
% 0.04/0.31 ~sQ2_spl),
% 0.04/0.31 inference(contradiction_clause,[status(thm)],[f19])).
% 0.04/0.31 fof(f21,plain,(
% 0.04/0.31 $false|sQ0_spl),
% 0.04/0.31 inference(forward_subsumption_resolution,[status(thm)],[f11,f7])).
% 0.04/0.31 fof(f22,plain,(
% 0.04/0.31 sQ0_spl),
% 0.04/0.31 inference(contradiction_clause,[status(thm)],[f21])).
% 0.04/0.31 fof(f23,plain,(
% 0.04/0.31 $false|~sQ1_spl),
% 0.04/0.31 inference(forward_subsumption_resolution,[status(thm)],[f13,f6])).
% 0.04/0.31 fof(f24,plain,(
% 0.04/0.31 ~sQ1_spl),
% 0.04/0.31 inference(contradiction_clause,[status(thm)],[f23])).
% 0.04/0.31 fof(f25,plain,(
% 0.04/0.31 $false),
% 0.04/0.31 inference(sat_refutation,[status(thm)],[f18,f20,f22,f24])).
% 0.04/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.04/0.33 % Elapsed time: 0.025566 seconds
% 0.04/0.33 % CPU time: 0.049404 seconds
% 0.04/0.33 % Total memory used: 12.795 MB
% 0.04/0.33 % Net memory used: 12.333 MB
%------------------------------------------------------------------------------