%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC044-1 : 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 : n003.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 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC044-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 07:53:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f82,axiom,(
% 0.10/0.41 (![U]: (( ~ rearsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f188,negated_conjecture,(
% 0.10/0.41 ssList(sk3) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f190,negated_conjecture,(
% 0.10/0.41 nil = sk2 ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f191,negated_conjecture,(
% 0.10/0.41 sk2 = sk4 ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f192,negated_conjecture,(
% 0.10/0.41 sk1 = sk3 ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f193,negated_conjecture,(
% 0.10/0.41 rearsegP(sk4,sk3) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f194,negated_conjecture,(
% 0.10/0.41 nil != sk1 ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f277,plain,(
% 0.10/0.41 ![X0]: (~rearsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f82])).
% 0.10/0.41 fof(f427,plain,(
% 0.10/0.41 ssList(sk3)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f188])).
% 0.10/0.41 fof(f429,plain,(
% 0.10/0.41 nil=sk2),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.10/0.41 fof(f430,plain,(
% 0.10/0.41 sk2=sk4),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/0.41 fof(f431,plain,(
% 0.10/0.41 sk1=sk3),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.10/0.41 fof(f432,plain,(
% 0.10/0.41 rearsegP(sk4,sk3)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.41 fof(f433,plain,(
% 0.10/0.41 ~nil=sk1),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f194])).
% 0.10/0.41 fof(f470,plain,(
% 0.10/0.41 nil=sk4),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f430,f429])).
% 0.10/0.41 fof(f473,plain,(
% 0.10/0.41 ~nil=sk3),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f431,f433])).
% 0.10/0.41 fof(f474,plain,(
% 0.10/0.41 ~sk4=sk3),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f470,f473])).
% 0.10/0.41 fof(f484,plain,(
% 0.10/0.41 ![X0]: (~rearsegP(sk4,X0)|~ssList(X0)|nil=X0)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f470,f277])).
% 0.10/0.41 fof(f485,plain,(
% 0.10/0.41 ![X0]: (~rearsegP(sk4,X0)|~ssList(X0)|sk4=X0)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f470,f484])).
% 0.10/0.41 fof(f487,plain,(
% 0.10/0.41 ~ssList(sk3)|sk4=sk3),
% 0.10/0.41 inference(resolution,[status(thm)],[f485,f432])).
% 0.10/0.41 fof(f495,definition,(
% 0.10/0.41 sQ4_spl <=> (ssList(sk3))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f497,plain,(
% 0.10/0.41 ~ssList(sk3)|sQ4_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f495])).
% 0.10/0.41 fof(f498,definition,(
% 0.10/0.41 sQ5_spl <=> (sk4=sk3)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f499,plain,(
% 0.10/0.41 sk4=sk3|~sQ5_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f498])).
% 0.10/0.41 fof(f501,plain,(
% 0.10/0.41 ~sQ4_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f487,f495,f498])).
% 0.10/0.41 fof(f502,plain,(
% 0.10/0.41 $false|sQ4_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f497,f427])).
% 0.10/0.41 fof(f503,plain,(
% 0.10/0.41 sQ4_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f502])).
% 0.10/0.41 fof(f506,plain,(
% 0.10/0.41 $false|~sQ5_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f499,f474])).
% 0.10/0.41 fof(f507,plain,(
% 0.10/0.41 ~sQ5_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f506])).
% 0.10/0.41 fof(f508,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f501,f503,f507])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.040996 seconds
% 0.10/0.43 % CPU time: 0.088532 seconds
% 0.10/0.43 % Total memory used: 13.580 MB
% 0.10/0.43 % Net memory used: 13.559 MB
%------------------------------------------------------------------------------