%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC287-1 : 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 : n013.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 02:42:04 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC287-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/5.35 % Computer : n013.cluster.edu
% 0.07/5.35 % Model : x86_64 x86_64
% 0.07/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.35 % Memory : 8046.5625MB
% 0.07/5.35 % OS : Linux 6.8.0-71-generic
% 0.07/5.35 % CPULimit : 300
% 0.07/5.35 % WCLimit : 300
% 0.07/5.35 % DateTime : Mon Sep 21 08:12:13 UTC 2026
% 0.07/5.36 % CPUTime :
% 0.07/5.37 % Drodi V4.1.1
% 0.12/5.40 % Refutation found
% 0.12/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/5.40 fof(f3,axiom,(
% 0.12/5.40 strictorderedP(nil) ),
% 0.12/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f66,axiom,(
% 0.12/5.40 (![U]: (( ~ ssItem(U)| strictorderedP(cons(U,nil)) ) ))),
% 0.12/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f191,negated_conjecture,(
% 0.12/5.40 sk1 = sk3 ),
% 0.12/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f192,negated_conjecture,(
% 0.12/5.40 ~ strictorderedP(sk1) ),
% 0.12/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f194,negated_conjecture,(
% 0.12/5.40 ( ssItem(sk5)| nil = sk3 ) ),
% 0.12/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f198,negated_conjecture,(
% 0.12/5.40 ( cons(sk5,nil) = sk3| nil = sk3 ) ),
% 0.12/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f203,plain,(
% 0.12/5.40 strictorderedP(nil)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/5.40 fof(f266,plain,(
% 0.12/5.40 ![X0]: (~ssItem(X0)|strictorderedP(cons(X0,nil)))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f66])).
% 0.12/5.40 fof(f436,plain,(
% 0.12/5.40 sk1=sk3),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.12/5.40 fof(f437,plain,(
% 0.12/5.40 ~strictorderedP(sk1)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/5.40 fof(f439,plain,(
% 0.12/5.40 ssItem(sk5)|nil=sk3),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f194])).
% 0.12/5.40 fof(f444,plain,(
% 0.12/5.40 cons(sk5,nil)=sk3|nil=sk3),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f198])).
% 0.12/5.40 fof(f455,definition,(
% 0.12/5.40 sQ2_spl <=> (ssItem(sk5))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f456,plain,(
% 0.12/5.40 ssItem(sk5)|~sQ2_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f455])).
% 0.12/5.40 fof(f462,definition,(
% 0.12/5.40 sQ4_spl <=> (nil=sk3)),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f463,plain,(
% 0.12/5.40 nil=sk3|~sQ4_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f462])).
% 0.12/5.40 fof(f465,plain,(
% 0.12/5.40 sQ2_spl|sQ4_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f439,f455,f462])).
% 0.12/5.40 fof(f466,definition,(
% 0.12/5.40 sQ5_spl <=> (cons(sk5,nil)=sk3)),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f467,plain,(
% 0.12/5.40 cons(sk5,nil)=sk3|~sQ5_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f466])).
% 0.12/5.40 fof(f478,plain,(
% 0.12/5.40 sQ5_spl|sQ4_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f444,f466,f462])).
% 0.12/5.40 fof(f512,plain,(
% 0.12/5.40 ~strictorderedP(sk3)),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f436,f437])).
% 0.12/5.40 fof(f514,plain,(
% 0.12/5.40 strictorderedP(sk3)|~sQ4_spl),
% 0.12/5.40 inference(backward_demodulation,[status(thm)],[f463,f203])).
% 0.12/5.40 fof(f515,plain,(
% 0.12/5.40 $false|~sQ4_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f514,f512])).
% 0.12/5.40 fof(f516,plain,(
% 0.12/5.40 ~sQ4_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f515])).
% 0.12/5.40 fof(f518,plain,(
% 0.12/5.40 strictorderedP(cons(sk5,nil))|~sQ2_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f266,f456])).
% 0.12/5.40 fof(f529,plain,(
% 0.12/5.40 strictorderedP(sk3)|~sQ5_spl|~sQ2_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f467,f518])).
% 0.12/5.40 fof(f530,plain,(
% 0.12/5.40 $false|~sQ5_spl|~sQ2_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f529,f512])).
% 0.12/5.40 fof(f531,plain,(
% 0.12/5.40 ~sQ5_spl|~sQ2_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f530])).
% 0.12/5.40 fof(f532,plain,(
% 0.12/5.40 $false),
% 0.12/5.40 inference(sat_refutation,[status(thm)],[f465,f478,f516,f531])).
% 0.12/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.43 % Elapsed time: 0.061794 seconds
% 0.12/5.43 % CPU time: 0.166934 seconds
% 0.12/5.43 % Total memory used: 108.795 MB
% 0.12/5.43 % Net memory used: 108.664 MB
%------------------------------------------------------------------------------