%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC404-1 : 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 : n007.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 02:42:23 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC404-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:19:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.57 % Refutation found
% 0.12/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.57 fof(f85,axiom,(
% 0.12/0.57 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f140,axiom,(
% 0.12/0.57 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f141,axiom,(
% 0.12/0.57 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f186,negated_conjecture,(
% 0.12/0.57 ssList(sk1) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f190,negated_conjecture,(
% 0.12/0.57 sk2 = sk4 ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f191,negated_conjecture,(
% 0.12/0.57 sk1 = sk3 ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f192,negated_conjecture,(
% 0.12/0.57 ssList(sk5) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f193,negated_conjecture,(
% 0.12/0.57 ssList(sk6) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f194,negated_conjecture,(
% 0.12/0.57 app(app(sk5,sk3),sk6) = sk4 ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f198,negated_conjecture,(
% 0.12/0.57 ssItem(sk7) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f199,negated_conjecture,(
% 0.12/0.57 memberP(sk1,sk7) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f200,negated_conjecture,(
% 0.12/0.57 ~ memberP(sk2,sk7) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f287,plain,(
% 0.12/0.57 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f85])).
% 0.12/0.57 fof(f356,plain,(
% 0.12/0.57 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f140])).
% 0.12/0.57 fof(f357,plain,(
% 0.12/0.57 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f141])).
% 0.12/0.57 fof(f432,plain,(
% 0.12/0.57 ssList(sk1)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f186])).
% 0.12/0.57 fof(f436,plain,(
% 0.12/0.57 sk2=sk4),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f190])).
% 0.12/0.57 fof(f437,plain,(
% 0.12/0.57 sk1=sk3),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f191])).
% 0.12/0.57 fof(f438,plain,(
% 0.12/0.57 ssList(sk5)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/0.57 fof(f439,plain,(
% 0.12/0.57 ssList(sk6)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f193])).
% 0.12/0.57 fof(f440,plain,(
% 0.12/0.57 app(app(sk5,sk3),sk6)=sk4),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f194])).
% 0.12/0.57 fof(f446,plain,(
% 0.12/0.57 ssItem(sk7)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f198])).
% 0.12/0.57 fof(f447,plain,(
% 0.12/0.57 memberP(sk1,sk7)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f199])).
% 0.12/0.57 fof(f448,plain,(
% 0.12/0.57 ~memberP(sk2,sk7)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f200])).
% 0.12/0.57 fof(f497,plain,(
% 0.12/0.57 app(app(sk5,sk1),sk6)=sk4),
% 0.12/0.57 inference(forward_demodulation,[status(thm)],[f437,f440])).
% 0.12/0.57 fof(f498,plain,(
% 0.12/0.57 app(app(sk5,sk1),sk6)=sk2),
% 0.12/0.57 inference(forward_demodulation,[status(thm)],[f436,f497])).
% 0.12/0.57 fof(f560,definition,(
% 0.12/0.57 sQ4_spl <=> (ssList(sk6))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f562,plain,(
% 0.12/0.57 ~ssList(sk6)|sQ4_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f560])).
% 0.12/0.57 fof(f563,definition,(
% 0.12/0.57 sQ5_spl <=> (ssList(app(sk5,sk1)))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f565,plain,(
% 0.12/0.57 ~ssList(app(sk5,sk1))|sQ5_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f563])).
% 0.12/0.57 fof(f583,definition,(
% 0.12/0.57 sQ7_spl <=> (ssList(sk5))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f585,plain,(
% 0.12/0.57 ~ssList(sk5)|sQ7_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f583])).
% 0.12/0.57 fof(f590,definition,(
% 0.12/0.57 sQ8_spl <=> (ssList(sk1))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f592,plain,(
% 0.12/0.57 ~ssList(sk1)|sQ8_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f590])).
% 1.17/0.58 fof(f816,plain,(
% 1.17/0.58 ~ssList(sk1)|~ssList(sk5)|sQ5_spl),
% 1.17/0.58 inference(resolution,[status(thm)],[f565,f287])).
% 1.17/0.58 fof(f817,plain,(
% 1.17/0.58 ~sQ8_spl|~sQ7_spl|sQ5_spl),
% 1.17/0.58 inference(split_clause,[status(thm)],[f816,f590,f583,f563])).
% 1.17/0.58 fof(f818,plain,(
% 1.17/0.58 $false|sQ7_spl),
% 1.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f585,f438])).
% 1.17/0.58 fof(f819,plain,(
% 1.17/0.58 sQ7_spl),
% 1.17/0.58 inference(contradiction_clause,[status(thm)],[f818])).
% 1.17/0.58 fof(f820,plain,(
% 1.17/0.58 $false|sQ8_spl),
% 1.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f592,f432])).
% 1.17/0.58 fof(f821,plain,(
% 1.17/0.58 sQ8_spl),
% 1.17/0.58 inference(contradiction_clause,[status(thm)],[f820])).
% 1.17/0.58 fof(f822,plain,(
% 1.17/0.58 $false|sQ4_spl),
% 1.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f562,f439])).
% 1.17/0.58 fof(f823,plain,(
% 1.17/0.58 sQ4_spl),
% 1.17/0.58 inference(contradiction_clause,[status(thm)],[f822])).
% 1.17/0.58 fof(f828,plain,(
% 1.17/0.58 ![X0]: (~memberP(app(sk5,sk1),X0)|~ssList(sk6)|~ssList(app(sk5,sk1))|~ssItem(X0)|memberP(sk2,X0))),
% 1.17/0.58 inference(paramodulation,[status(thm)],[f498,f356])).
% 1.17/0.58 fof(f829,definition,(
% 1.17/0.58 ![X0]: (sQ10_spl <=> (~memberP(app(sk5,sk1),X0)|~ssItem(X0)|memberP(sk2,X0)))),
% 1.17/0.58 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 1.17/0.58 fof(f830,plain,(
% 1.17/0.58 ![X0]: (~memberP(app(sk5,sk1),X0)|~ssItem(X0)|memberP(sk2,X0)|~sQ10_spl)),
% 1.17/0.58 inference(component_clause,[status(thm)],[f829])).
% 1.17/0.58 fof(f832,plain,(
% 1.17/0.58 sQ10_spl|~sQ4_spl|~sQ5_spl),
% 1.17/0.58 inference(split_clause,[status(thm)],[f828,f829,f560,f563])).
% 1.17/0.58 fof(f956,plain,(
% 1.17/0.58 ![X0]: (~ssList(sk1)|~ssList(X0)|~ssItem(sk7)|memberP(app(X0,sk1),sk7))),
% 1.17/0.58 inference(resolution,[status(thm)],[f357,f447])).
% 1.17/0.58 fof(f963,definition,(
% 1.17/0.58 ![X0]: (sQ18_spl <=> (~ssList(X0)|memberP(app(X0,sk1),sk7)))),
% 1.17/0.58 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 1.17/0.58 fof(f964,plain,(
% 1.17/0.58 ![X0]: (~ssList(X0)|memberP(app(X0,sk1),sk7)|~sQ18_spl)),
% 1.17/0.58 inference(component_clause,[status(thm)],[f963])).
% 1.17/0.58 fof(f966,definition,(
% 1.17/0.58 sQ19_spl <=> (ssItem(sk7))),
% 1.17/0.58 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 1.17/0.58 fof(f968,plain,(
% 1.17/0.58 ~ssItem(sk7)|sQ19_spl),
% 1.17/0.58 inference(component_clause,[status(thm)],[f966])).
% 1.17/0.58 fof(f969,plain,(
% 1.17/0.58 ~sQ8_spl|sQ18_spl|~sQ19_spl),
% 1.17/0.58 inference(split_clause,[status(thm)],[f956,f590,f963,f966])).
% 1.17/0.58 fof(f1099,plain,(
% 1.17/0.58 ~ssList(sk5)|~ssItem(sk7)|memberP(sk2,sk7)|~sQ18_spl|~sQ10_spl),
% 1.17/0.58 inference(resolution,[status(thm)],[f964,f830])).
% 1.17/0.58 fof(f1102,definition,(
% 1.17/0.58 sQ44_spl <=> (memberP(sk2,sk7))),
% 1.17/0.58 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 1.17/0.58 fof(f1103,plain,(
% 1.17/0.58 memberP(sk2,sk7)|~sQ44_spl),
% 1.17/0.58 inference(component_clause,[status(thm)],[f1102])).
% 1.17/0.58 fof(f1105,plain,(
% 1.17/0.58 ~sQ7_spl|~sQ19_spl|sQ44_spl|~sQ18_spl|~sQ10_spl),
% 1.17/0.58 inference(split_clause,[status(thm)],[f1099,f583,f966,f1102,f963,f829])).
% 1.17/0.58 fof(f1114,plain,(
% 1.17/0.58 $false|sQ19_spl),
% 1.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f968,f446])).
% 1.17/0.58 fof(f1115,plain,(
% 1.17/0.58 sQ19_spl),
% 1.17/0.58 inference(contradiction_clause,[status(thm)],[f1114])).
% 1.17/0.58 fof(f1116,plain,(
% 1.17/0.58 $false|~sQ44_spl),
% 1.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1103,f448])).
% 1.17/0.58 fof(f1117,plain,(
% 1.17/0.58 ~sQ44_spl),
% 1.17/0.58 inference(contradiction_clause,[status(thm)],[f1116])).
% 1.17/0.58 fof(f1118,plain,(
% 1.17/0.58 $false),
% 1.17/0.58 inference(sat_refutation,[status(thm)],[f817,f819,f821,f823,f832,f969,f1105,f1115,f1117])).
% 1.17/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.17/0.59 % Elapsed time: 0.223255 seconds
% 1.17/0.59 % CPU time: 1.437423 seconds
% 1.17/0.59 % Total memory used: 136.360 MB
% 1.17/0.59 % Net memory used: 134.892 MB
%------------------------------------------------------------------------------