%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC040-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:41:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC040-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:49:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f190,negated_conjecture,(
% 0.09/0.39 nil = sk2 ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f191,negated_conjecture,(
% 0.09/0.39 sk2 = sk4 ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f192,negated_conjecture,(
% 0.09/0.39 sk1 = sk3 ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f193,negated_conjecture,(
% 0.09/0.39 nil != sk1 ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f194,negated_conjecture,(
% 0.09/0.39 ( nil = sk3| nil != sk4 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f433,plain,(
% 0.09/0.39 nil=sk2),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.39 fof(f434,plain,(
% 0.09/0.39 sk2=sk4),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f191])).
% 0.09/0.39 fof(f435,plain,(
% 0.09/0.39 sk1=sk3),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f192])).
% 0.09/0.39 fof(f436,plain,(
% 0.09/0.39 ~nil=sk1),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.39 fof(f437,plain,(
% 0.09/0.39 nil=sk3|~nil=sk4),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f194])).
% 0.09/0.39 fof(f449,definition,(
% 0.09/0.39 sQ2_spl <=> (nil=sk3)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f450,plain,(
% 0.09/0.39 nil=sk3|~sQ2_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f449])).
% 0.09/0.39 fof(f452,definition,(
% 0.09/0.39 sQ3_spl <=> (nil=sk4)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f454,plain,(
% 0.09/0.39 ~nil=sk4|sQ3_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f452])).
% 0.09/0.39 fof(f455,plain,(
% 0.09/0.39 sQ2_spl|~sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f437,f449,f452])).
% 0.09/0.39 fof(f504,plain,(
% 0.09/0.39 nil=sk4),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f434,f433])).
% 0.09/0.39 fof(f507,plain,(
% 0.09/0.39 ~nil=sk3),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f435,f436])).
% 0.09/0.39 fof(f508,plain,(
% 0.09/0.39 $false|~sQ2_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f450,f507])).
% 0.09/0.39 fof(f509,plain,(
% 0.09/0.39 ~sQ2_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f508])).
% 0.09/0.39 fof(f512,plain,(
% 0.09/0.39 ~sk4=sk4|sQ3_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f504,f454])).
% 0.09/0.39 fof(f513,plain,(
% 0.09/0.39 $false|sQ3_spl),
% 0.09/0.39 inference(trivial_equality_resolution,[status(thm)],[f512])).
% 0.09/0.39 fof(f514,plain,(
% 0.09/0.39 sQ3_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f513])).
% 0.09/0.39 fof(f515,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f455,f509,f514])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.054368 seconds
% 0.13/0.42 % CPU time: 0.131808 seconds
% 0.13/0.42 % Total memory used: 74.668 MB
% 0.13/0.42 % Net memory used: 74.586 MB
%------------------------------------------------------------------------------