%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC259-1 : 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 02:42:00 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC259-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.46 % Computer : n009.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Mon Sep 21 08:09:29 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.51 % Drodi V4.1.1
% 0.17/0.53 % Refutation found
% 0.17/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.53 fof(f4,axiom,(
% 0.17/0.53 totalorderedP(nil) ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f67,axiom,(
% 0.17/0.53 (![U]: (( ~ ssItem(U)| totalorderedP(cons(U,nil)) ) ))),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f191,negated_conjecture,(
% 0.17/0.53 sk1 = sk3 ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f192,negated_conjecture,(
% 0.17/0.53 ~ totalorderedP(sk1) ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f194,negated_conjecture,(
% 0.17/0.53 ( ssItem(sk5)| nil = sk3 ) ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f203,negated_conjecture,(
% 0.17/0.53 ( cons(sk5,nil) = sk3| nil = sk3 ) ),
% 0.17/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.53 fof(f210,plain,(
% 0.17/0.53 totalorderedP(nil)),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.53 fof(f273,plain,(
% 0.17/0.53 ![X0]: (~ssItem(X0)|totalorderedP(cons(X0,nil)))),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f67])).
% 0.17/0.53 fof(f442,plain,(
% 0.17/0.53 sk1=sk3),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f191])).
% 0.17/0.53 fof(f443,plain,(
% 0.17/0.53 ~totalorderedP(sk1)),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f192])).
% 0.17/0.53 fof(f445,plain,(
% 0.17/0.53 ssItem(sk5)|nil=sk3),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f194])).
% 0.17/0.53 fof(f456,plain,(
% 0.17/0.53 cons(sk5,nil)=sk3|nil=sk3),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f203])).
% 0.17/0.53 fof(f469,definition,(
% 0.17/0.53 sQ2_spl <=> (ssItem(sk5))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f470,plain,(
% 0.17/0.53 ssItem(sk5)|~sQ2_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f469])).
% 0.17/0.53 fof(f476,definition,(
% 0.17/0.53 sQ4_spl <=> (nil=sk3)),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f477,plain,(
% 0.17/0.53 nil=sk3|~sQ4_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f476])).
% 0.17/0.53 fof(f479,plain,(
% 0.17/0.53 sQ2_spl|sQ4_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f445,f469,f476])).
% 0.17/0.53 fof(f488,definition,(
% 0.17/0.53 sQ7_spl <=> (cons(sk5,nil)=sk3)),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f489,plain,(
% 0.17/0.53 cons(sk5,nil)=sk3|~sQ7_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f488])).
% 0.17/0.53 fof(f506,plain,(
% 0.17/0.53 sQ7_spl|sQ4_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f456,f488,f476])).
% 0.17/0.53 fof(f541,plain,(
% 0.17/0.53 ~totalorderedP(sk3)),
% 0.17/0.53 inference(forward_demodulation,[status(thm)],[f442,f443])).
% 0.17/0.53 fof(f543,plain,(
% 0.17/0.53 totalorderedP(sk3)|~sQ4_spl),
% 0.17/0.53 inference(backward_demodulation,[status(thm)],[f477,f210])).
% 0.17/0.53 fof(f544,plain,(
% 0.17/0.53 $false|~sQ4_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f543,f541])).
% 0.17/0.53 fof(f545,plain,(
% 0.17/0.53 ~sQ4_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f544])).
% 0.17/0.53 fof(f546,plain,(
% 0.17/0.53 totalorderedP(cons(sk5,nil))|~sQ2_spl),
% 0.17/0.53 inference(resolution,[status(thm)],[f273,f470])).
% 0.17/0.53 fof(f552,plain,(
% 0.17/0.53 totalorderedP(sk3)|~sQ7_spl|~sQ2_spl),
% 0.17/0.53 inference(forward_demodulation,[status(thm)],[f489,f546])).
% 0.17/0.53 fof(f553,plain,(
% 0.17/0.53 $false|~sQ7_spl|~sQ2_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f552,f541])).
% 0.17/0.53 fof(f554,plain,(
% 0.17/0.53 ~sQ7_spl|~sQ2_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f553])).
% 0.17/0.53 fof(f555,plain,(
% 0.17/0.53 $false),
% 0.17/0.53 inference(sat_refutation,[status(thm)],[f479,f506,f545,f554])).
% 0.17/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.58 % Elapsed time: 0.090283 seconds
% 0.22/0.58 % CPU time: 0.101612 seconds
% 0.22/0.58 % Total memory used: 3.441 MB
% 0.22/0.58 % Net memory used: 3.440 MB
%------------------------------------------------------------------------------