%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC339-1 : 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 : n017.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 02:42:12 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC339-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.65 % Computer : n017.cluster.edu
% 0.17/0.65 % Model : x86_64 x86_64
% 0.17/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.65 % Memory : 8046.5625MB
% 0.17/0.65 % OS : Linux 6.8.0-71-generic
% 0.17/0.65 % CPULimit : 300
% 0.17/0.65 % WCLimit : 300
% 0.17/0.65 % DateTime : Mon Sep 21 08:12:27 UTC 2026
% 0.17/0.65 % CPUTime :
% 0.22/0.68 % Drodi V4.1.1
% 0.22/0.95 % Refutation found
% 0.22/0.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.95 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.95 fof(f173,axiom,(
% 0.22/0.95 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f188,negated_conjecture,(
% 0.22/0.95 ssList(sk3) ),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f189,negated_conjecture,(
% 0.22/0.95 ssList(sk4) ),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f190,negated_conjecture,(
% 0.22/0.95 sk2 = sk4 ),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f191,negated_conjecture,(
% 0.22/0.95 sk1 = sk3 ),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f192,negated_conjecture,(
% 0.22/0.95 ssList(sk5) ),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f193,negated_conjecture,(
% 0.22/0.95 ssList(sk6) ),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f194,negated_conjecture,(
% 0.22/0.95 app(app(sk5,sk3),sk6) = sk4 ),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f195,negated_conjecture,(
% 0.22/0.95 totalorderedP(sk3) ),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f199,negated_conjecture,(
% 0.22/0.95 ( ~ segmentP(sk2,sk1)| ~ totalorderedP(sk1) ) ),
% 0.22/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.95 fof(f405,plain,(
% 0.22/0.95 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.22/0.95 inference(miniscoping,[status(thm)],[f173])).
% 0.22/0.95 fof(f406,plain,(
% 0.22/0.95 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f405])).
% 0.22/0.95 fof(f432,plain,(
% 0.22/0.95 ssList(sk3)),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f188])).
% 0.22/0.95 fof(f433,plain,(
% 0.22/0.95 ssList(sk4)),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f189])).
% 0.22/0.95 fof(f434,plain,(
% 0.22/0.95 sk2=sk4),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f190])).
% 0.22/0.95 fof(f435,plain,(
% 0.22/0.95 sk1=sk3),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f191])).
% 0.22/0.95 fof(f436,plain,(
% 0.22/0.95 ssList(sk5)),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f192])).
% 0.22/0.95 fof(f437,plain,(
% 0.22/0.95 ssList(sk6)),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f193])).
% 0.22/0.95 fof(f438,plain,(
% 0.22/0.95 app(app(sk5,sk3),sk6)=sk4),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f194])).
% 0.22/0.95 fof(f439,plain,(
% 0.22/0.95 totalorderedP(sk3)),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f195])).
% 0.22/0.95 fof(f445,plain,(
% 0.22/0.95 ~segmentP(sk2,sk1)|~totalorderedP(sk1)),
% 0.22/0.95 inference(cnf_transformation,[status(thm)],[f199])).
% 0.22/0.95 fof(f460,definition,(
% 0.22/0.95 sQ4_spl <=> (segmentP(sk2,sk1))),
% 0.22/0.95 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.22/0.95 fof(f462,plain,(
% 0.22/0.95 ~segmentP(sk2,sk1)|sQ4_spl),
% 0.22/0.95 inference(component_clause,[status(thm)],[f460])).
% 0.22/0.95 fof(f463,definition,(
% 0.22/0.95 sQ5_spl <=> (totalorderedP(sk1))),
% 0.22/0.95 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.22/0.95 fof(f465,plain,(
% 0.22/0.95 ~totalorderedP(sk1)|sQ5_spl),
% 0.22/0.95 inference(component_clause,[status(thm)],[f463])).
% 0.22/0.95 fof(f466,plain,(
% 0.22/0.95 ~sQ4_spl|~sQ5_spl),
% 0.22/0.95 inference(split_clause,[status(thm)],[f445,f460,f463])).
% 0.22/0.95 fof(f485,plain,(
% 0.22/0.95 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.22/0.95 inference(destructive_equality_resolution,[status(thm)],[f406])).
% 0.22/0.95 fof(f572,definition,(
% 0.22/0.95 sQ8_spl <=> (ssList(sk6))),
% 0.22/0.95 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.22/0.95 fof(f574,plain,(
% 0.22/0.95 ~ssList(sk6)|sQ8_spl),
% 0.22/0.95 inference(component_clause,[status(thm)],[f572])).
% 0.22/0.95 fof(f578,definition,(
% 0.22/0.95 sQ10_spl <=> (ssList(sk4))),
% 0.22/0.95 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.22/0.95 fof(f580,plain,(
% 0.22/0.95 ~ssList(sk4)|sQ10_spl),
% 0.22/0.95 inference(component_clause,[status(thm)],[f578])).
% 0.22/0.95 fof(f656,plain,(
% 0.22/0.95 ~segmentP(sk4,sk1)|sQ4_spl),
% 0.22/0.95 inference(forward_demodulation,[status(thm)],[f434,f462])).
% 0.22/0.95 fof(f657,plain,(
% 0.22/0.95 ~segmentP(sk4,sk3)|sQ4_spl),
% 0.22/0.95 inference(forward_demodulation,[status(thm)],[f435,f656])).
% 0.22/0.95 fof(f768,plain,(
% 0.22/0.95 $false|sQ8_spl),
% 0.22/0.95 inference(forward_subsumption_resolution,[status(thm)],[f574,f437])).
% 0.22/0.97 fof(f769,plain,(
% 0.22/0.97 sQ8_spl),
% 0.22/0.97 inference(contradiction_clause,[status(thm)],[f768])).
% 0.22/0.97 fof(f813,definition,(
% 0.22/0.97 sQ29_spl <=> (ssList(sk3))),
% 0.22/0.97 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.22/0.97 fof(f815,plain,(
% 0.22/0.97 ~ssList(sk3)|sQ29_spl),
% 0.22/0.97 inference(component_clause,[status(thm)],[f813])).
% 0.22/0.97 fof(f824,plain,(
% 0.22/0.97 $false|sQ29_spl),
% 0.22/0.97 inference(forward_subsumption_resolution,[status(thm)],[f815,f432])).
% 0.22/0.97 fof(f825,plain,(
% 0.22/0.97 sQ29_spl),
% 0.22/0.97 inference(contradiction_clause,[status(thm)],[f824])).
% 0.22/0.97 fof(f874,plain,(
% 0.22/0.97 ~ssList(sk6)|~ssList(sk5)|~ssList(sk3)|~ssList(sk4)|segmentP(app(app(sk5,sk3),sk6),sk3)),
% 0.22/0.97 inference(paramodulation,[status(thm)],[f438,f485])).
% 0.22/0.97 fof(f878,definition,(
% 0.22/0.97 sQ33_spl <=> (ssList(sk5))),
% 0.22/0.97 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.22/0.97 fof(f880,plain,(
% 0.22/0.97 ~ssList(sk5)|sQ33_spl),
% 0.22/0.97 inference(component_clause,[status(thm)],[f878])).
% 0.22/0.97 fof(f881,definition,(
% 0.22/0.97 sQ34_spl <=> (segmentP(app(app(sk5,sk3),sk6),sk3))),
% 0.22/0.97 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.22/0.97 fof(f882,plain,(
% 0.22/0.97 segmentP(app(app(sk5,sk3),sk6),sk3)|~sQ34_spl),
% 0.22/0.97 inference(component_clause,[status(thm)],[f881])).
% 0.22/0.97 fof(f884,plain,(
% 0.22/0.97 ~sQ8_spl|~sQ33_spl|~sQ29_spl|~sQ10_spl|sQ34_spl),
% 0.22/0.97 inference(split_clause,[status(thm)],[f874,f572,f878,f813,f578,f881])).
% 0.22/0.97 fof(f889,plain,(
% 0.22/0.97 $false|sQ10_spl),
% 0.22/0.97 inference(forward_subsumption_resolution,[status(thm)],[f580,f433])).
% 0.22/0.97 fof(f890,plain,(
% 0.22/0.97 sQ10_spl),
% 0.22/0.97 inference(contradiction_clause,[status(thm)],[f889])).
% 0.22/0.97 fof(f893,plain,(
% 0.22/0.97 $false|sQ33_spl),
% 0.22/0.97 inference(forward_subsumption_resolution,[status(thm)],[f880,f436])).
% 0.22/0.97 fof(f894,plain,(
% 0.22/0.97 sQ33_spl),
% 0.22/0.97 inference(contradiction_clause,[status(thm)],[f893])).
% 0.22/0.97 fof(f895,plain,(
% 0.22/0.97 segmentP(sk4,sk3)|~sQ34_spl),
% 0.22/0.97 inference(forward_demodulation,[status(thm)],[f438,f882])).
% 0.22/0.97 fof(f896,plain,(
% 0.22/0.97 $false|sQ4_spl|~sQ34_spl),
% 0.22/0.97 inference(forward_subsumption_resolution,[status(thm)],[f895,f657])).
% 0.22/0.97 fof(f897,plain,(
% 0.22/0.97 sQ4_spl|~sQ34_spl),
% 0.22/0.97 inference(contradiction_clause,[status(thm)],[f896])).
% 0.22/0.97 fof(f898,plain,(
% 0.22/0.97 ~totalorderedP(sk3)|sQ5_spl),
% 0.22/0.97 inference(forward_demodulation,[status(thm)],[f435,f465])).
% 0.22/0.97 fof(f899,plain,(
% 0.22/0.97 $false|sQ5_spl),
% 0.22/0.97 inference(forward_subsumption_resolution,[status(thm)],[f898,f439])).
% 0.22/0.97 fof(f900,plain,(
% 0.22/0.97 sQ5_spl),
% 0.22/0.97 inference(contradiction_clause,[status(thm)],[f899])).
% 0.22/0.97 fof(f901,plain,(
% 0.22/0.97 $false),
% 0.22/0.97 inference(sat_refutation,[status(thm)],[f466,f769,f825,f884,f890,f894,f897,f900])).
% 0.22/0.97 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.98 % Elapsed time: 0.310624 seconds
% 0.22/0.98 % CPU time: 1.994756 seconds
% 0.22/0.98 % Total memory used: 133.005 MB
% 0.22/0.98 % Net memory used: 131.766 MB
%------------------------------------------------------------------------------