%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC293-1 : 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 02:42:05 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC293-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:14:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 strictorderedP(nil) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f66,axiom,(
% 0.13/0.38 (![U]: (( ~ ssItem(U)| strictorderedP(cons(U,nil)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f191,negated_conjecture,(
% 0.13/0.38 sk1 = sk3 ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f192,negated_conjecture,(
% 0.13/0.38 ~ strictorderedP(sk1) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f194,negated_conjecture,(
% 0.13/0.38 ( ssItem(sk5)| nil = sk3 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f197,negated_conjecture,(
% 0.13/0.38 ( cons(sk5,nil) = sk3| nil = sk3 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f201,plain,(
% 0.13/0.38 strictorderedP(nil)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f264,plain,(
% 0.13/0.38 ![X0]: (~ssItem(X0)|strictorderedP(cons(X0,nil)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.38 fof(f434,plain,(
% 0.13/0.38 sk1=sk3),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.38 fof(f435,plain,(
% 0.13/0.38 ~strictorderedP(sk1)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.38 fof(f437,plain,(
% 0.13/0.38 ssItem(sk5)|nil=sk3),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f194])).
% 0.13/0.38 fof(f440,plain,(
% 0.13/0.38 cons(sk5,nil)=sk3|nil=sk3),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/0.38 fof(f449,definition,(
% 0.13/0.38 sQ2_spl <=> (ssItem(sk5))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f450,plain,(
% 0.13/0.38 ssItem(sk5)|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f449])).
% 0.13/0.38 fof(f456,definition,(
% 0.13/0.38 sQ4_spl <=> (nil=sk3)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f457,plain,(
% 0.13/0.38 nil=sk3|~sQ4_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f456])).
% 0.13/0.38 fof(f459,plain,(
% 0.13/0.38 sQ2_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f437,f449,f456])).
% 0.13/0.38 fof(f460,definition,(
% 0.13/0.38 sQ5_spl <=> (cons(sk5,nil)=sk3)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f461,plain,(
% 0.13/0.38 cons(sk5,nil)=sk3|~sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f460])).
% 0.13/0.38 fof(f468,plain,(
% 0.13/0.38 sQ5_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f440,f460,f456])).
% 0.13/0.38 fof(f501,plain,(
% 0.13/0.38 ~strictorderedP(sk3)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f434,f435])).
% 0.13/0.38 fof(f503,plain,(
% 0.13/0.38 strictorderedP(sk3)|~sQ4_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f457,f201])).
% 0.13/0.38 fof(f504,plain,(
% 0.13/0.38 $false|~sQ4_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f503,f501])).
% 0.13/0.38 fof(f505,plain,(
% 0.13/0.38 ~sQ4_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f504])).
% 0.13/0.38 fof(f506,plain,(
% 0.13/0.38 strictorderedP(cons(sk5,nil))|~sQ2_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f264,f450])).
% 0.13/0.38 fof(f518,plain,(
% 0.13/0.38 strictorderedP(sk3)|~sQ5_spl|~sQ2_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f461,f506])).
% 0.13/0.38 fof(f519,plain,(
% 0.13/0.38 $false|~sQ5_spl|~sQ2_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f518,f501])).
% 0.13/0.38 fof(f520,plain,(
% 0.13/0.38 ~sQ5_spl|~sQ2_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f519])).
% 0.13/0.38 fof(f521,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f459,f468,f505,f520])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.042926 seconds
% 0.13/0.40 % CPU time: 0.093553 seconds
% 0.13/0.40 % Total memory used: 17.007 MB
% 0.13/0.40 % Net memory used: 16.983 MB
%------------------------------------------------------------------------------