%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC051-1 : 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 : n009.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 02:41:27 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC051-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n009.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 07:51:43 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.47 fof(f59,axiom,(
% 0.18/0.47 (![U]: (( ~ ssList(U)| rearsegP(U,U) ) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f188,negated_conjecture,(
% 0.18/0.47 ssList(sk3) ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f190,negated_conjecture,(
% 0.18/0.47 sk2 = sk4 ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f191,negated_conjecture,(
% 0.18/0.47 sk1 = sk3 ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f192,negated_conjecture,(
% 0.18/0.47 neq(sk2,nil) ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f193,negated_conjecture,(
% 0.18/0.47 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ rearsegP(sk2,A)| ~ rearsegP(sk1,A) ) ))),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f195,negated_conjecture,(
% 0.18/0.47 ( ~ neq(sk4,nil)| neq(sk3,nil) ) ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f196,negated_conjecture,(
% 0.18/0.47 ( ~ neq(sk4,nil)| rearsegP(sk4,sk3) ) ),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f255,plain,(
% 0.18/0.47 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f59])).
% 0.18/0.47 fof(f429,plain,(
% 0.18/0.47 ssList(sk3)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f188])).
% 0.18/0.47 fof(f431,plain,(
% 0.18/0.47 sk2=sk4),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f190])).
% 0.18/0.47 fof(f432,plain,(
% 0.18/0.47 sk1=sk3),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f191])).
% 0.18/0.47 fof(f433,plain,(
% 0.18/0.47 neq(sk2,nil)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f192])).
% 0.18/0.47 fof(f434,plain,(
% 0.18/0.47 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f193])).
% 0.18/0.47 fof(f436,plain,(
% 0.18/0.47 ~neq(sk4,nil)|neq(sk3,nil)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f195])).
% 0.18/0.47 fof(f437,plain,(
% 0.18/0.47 ~neq(sk4,nil)|rearsegP(sk4,sk3)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f196])).
% 0.18/0.47 fof(f452,definition,(
% 0.18/0.47 sQ4_spl <=> (neq(sk4,nil))),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f454,plain,(
% 0.18/0.47 ~neq(sk4,nil)|sQ4_spl),
% 0.18/0.47 inference(component_clause,[status(thm)],[f452])).
% 0.18/0.47 fof(f455,definition,(
% 0.18/0.47 sQ5_spl <=> (neq(sk3,nil))),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f458,plain,(
% 0.18/0.47 ~sQ4_spl|sQ5_spl),
% 0.18/0.47 inference(split_clause,[status(thm)],[f436,f452,f455])).
% 0.18/0.47 fof(f459,definition,(
% 0.18/0.47 sQ6_spl <=> (rearsegP(sk4,sk3))),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f462,plain,(
% 0.18/0.47 ~sQ4_spl|sQ6_spl),
% 0.18/0.47 inference(split_clause,[status(thm)],[f437,f452,f459])).
% 0.18/0.47 fof(f495,plain,(
% 0.18/0.47 neq(sk4,nil)),
% 0.18/0.47 inference(forward_demodulation,[status(thm)],[f431,f433])).
% 0.18/0.47 fof(f505,plain,(
% 0.18/0.47 rearsegP(sk3,sk3)),
% 0.18/0.47 inference(resolution,[status(thm)],[f255,f429])).
% 0.18/0.47 fof(f514,plain,(
% 0.18/0.47 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk4,X0)|~rearsegP(sk1,X0))),
% 0.18/0.47 inference(forward_demodulation,[status(thm)],[f431,f434])).
% 0.18/0.47 fof(f515,plain,(
% 0.18/0.47 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk4,X0)|~rearsegP(sk3,X0))),
% 0.18/0.47 inference(forward_demodulation,[status(thm)],[f432,f514])).
% 0.18/0.47 fof(f519,plain,(
% 0.18/0.47 ~ssList(sk3)|~neq(sk3,nil)|~rearsegP(sk4,sk3)),
% 0.18/0.47 inference(resolution,[status(thm)],[f515,f505])).
% 0.18/0.47 fof(f538,definition,(
% 0.18/0.47 sQ12_spl <=> (ssList(sk3))),
% 0.18/0.47 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.18/0.47 fof(f540,plain,(
% 0.18/0.47 ~ssList(sk3)|sQ12_spl),
% 0.18/0.47 inference(component_clause,[status(thm)],[f538])).
% 0.18/0.47 fof(f545,plain,(
% 0.18/0.47 ~sQ12_spl|~sQ5_spl|~sQ6_spl),
% 0.18/0.47 inference(split_clause,[status(thm)],[f519,f538,f455,f459])).
% 0.18/0.47 fof(f552,plain,(
% 0.18/0.47 $false|sQ12_spl),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f540,f429])).
% 0.18/0.47 fof(f553,plain,(
% 0.18/0.47 sQ12_spl),
% 0.18/0.47 inference(contradiction_clause,[status(thm)],[f552])).
% 0.18/0.47 fof(f554,plain,(
% 0.18/0.47 $false|sQ4_spl),
% 0.18/0.47 inference(forward_subsumption_resolution,[status(thm)],[f454,f495])).
% 0.18/0.47 fof(f555,plain,(
% 0.18/0.47 sQ4_spl),
% 0.18/0.47 inference(contradiction_clause,[status(thm)],[f554])).
% 0.18/0.47 fof(f556,plain,(
% 0.18/0.47 $false),
% 0.18/0.47 inference(sat_refutation,[status(thm)],[f458,f462,f545,f553,f555])).
% 0.18/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.51 % Elapsed time: 0.068456 seconds
% 0.18/0.51 % CPU time: 0.156229 seconds
% 0.18/0.51 % Total memory used: 50.901 MB
% 0.18/0.51 % Net memory used: 50.828 MB
%------------------------------------------------------------------------------