%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC419-1 : 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 : n012.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 02:42:25 PM UTC 2026
% Result : Unsatisfiable 32.24s 4.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC419-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 08:22:51 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 32.24/4.46 % Refutation found
% 32.24/4.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 32.24/4.46 % SZS output start CNFRefutation for theBenchmark
% 32.24/4.46 fof(f8,axiom,(
% 32.24/4.46 ssList(nil) ),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f73,axiom,(
% 32.24/4.46 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f74,axiom,(
% 32.24/4.46 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f86,axiom,(
% 32.24/4.46 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f186,negated_conjecture,(
% 32.24/4.46 ssList(sk1) ),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f190,negated_conjecture,(
% 32.24/4.46 sk2 = sk4 ),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f191,negated_conjecture,(
% 32.24/4.46 sk1 = sk3 ),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f192,negated_conjecture,(
% 32.24/4.46 neq(sk2,nil) ),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f193,negated_conjecture,(
% 32.24/4.46 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk2| app(app(C,cons(A,nil)),B) != sk1 ) ))),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f195,negated_conjecture,(
% 32.24/4.46 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f196,negated_conjecture,(
% 32.24/4.46 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f197,negated_conjecture,(
% 32.24/4.46 ( app(cons(sk5,nil),sk6) = sk4| ~ neq(sk4,nil) ) ),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f198,negated_conjecture,(
% 32.24/4.46 ( app(sk6,cons(sk5,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 32.24/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.24/4.46 fof(f206,plain,(
% 32.24/4.46 ssList(nil)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f8])).
% 32.24/4.46 fof(f272,plain,(
% 32.24/4.46 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f73])).
% 32.24/4.46 fof(f273,plain,(
% 32.24/4.46 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f74])).
% 32.24/4.46 fof(f285,plain,(
% 32.24/4.46 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f86])).
% 32.24/4.46 fof(f429,plain,(
% 32.24/4.46 ssList(sk1)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f186])).
% 32.24/4.46 fof(f433,plain,(
% 32.24/4.46 sk2=sk4),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f190])).
% 32.24/4.46 fof(f434,plain,(
% 32.24/4.46 sk1=sk3),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f191])).
% 32.24/4.46 fof(f435,plain,(
% 32.24/4.46 neq(sk2,nil)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f192])).
% 32.24/4.46 fof(f436,plain,(
% 32.24/4.46 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(app(X2,cons(X0,nil)),X1)=sk1)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f193])).
% 32.24/4.46 fof(f438,plain,(
% 32.24/4.46 ssItem(sk5)|~neq(sk4,nil)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f195])).
% 32.24/4.46 fof(f439,plain,(
% 32.24/4.46 ssList(sk6)|~neq(sk4,nil)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f196])).
% 32.24/4.46 fof(f440,plain,(
% 32.24/4.46 app(cons(sk5,nil),sk6)=sk4|~neq(sk4,nil)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f197])).
% 32.24/4.46 fof(f441,plain,(
% 32.24/4.46 app(sk6,cons(sk5,nil))=sk3|~neq(sk4,nil)),
% 32.24/4.46 inference(cnf_transformation,[status(thm)],[f198])).
% 32.24/4.46 fof(f456,definition,(
% 32.24/4.46 sQ4_spl <=> (ssItem(sk5))),
% 32.24/4.46 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 32.24/4.46 fof(f457,plain,(
% 32.24/4.46 ssItem(sk5)|~sQ4_spl),
% 32.24/4.46 inference(component_clause,[status(thm)],[f456])).
% 32.24/4.46 fof(f459,definition,(
% 32.24/4.46 sQ5_spl <=> (neq(sk4,nil))),
% 32.24/4.46 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 32.24/4.46 fof(f461,plain,(
% 32.24/4.46 ~neq(sk4,nil)|sQ5_spl),
% 32.24/4.46 inference(component_clause,[status(thm)],[f459])).
% 32.24/4.46 fof(f462,plain,(
% 32.24/4.46 sQ4_spl|~sQ5_spl),
% 32.24/4.46 inference(split_clause,[status(thm)],[f438,f456,f459])).
% 32.24/4.46 fof(f463,definition,(
% 32.24/4.46 sQ6_spl <=> (ssList(sk6))),
% 32.24/4.46 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 32.24/4.46 fof(f466,plain,(
% 32.24/4.46 sQ6_spl|~sQ5_spl),
% 32.24/4.46 inference(split_clause,[status(thm)],[f439,f463,f459])).
% 32.24/4.46 fof(f467,definition,(
% 32.24/4.46 sQ7_spl <=> (app(cons(sk5,nil),sk6)=sk4)),
% 32.24/4.46 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 32.24/4.46 fof(f468,plain,(
% 32.24/4.46 app(cons(sk5,nil),sk6)=sk4|~sQ7_spl),
% 32.24/4.46 inference(component_clause,[status(thm)],[f467])).
% 32.24/4.46 fof(f470,plain,(
% 32.24/4.46 sQ7_spl|~sQ5_spl),
% 32.24/4.46 inference(split_clause,[status(thm)],[f440,f467,f459])).
% 32.24/4.46 fof(f471,definition,(
% 32.24/4.46 sQ8_spl <=> (app(sk6,cons(sk5,nil))=sk3)),
% 32.24/4.46 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 32.24/4.46 fof(f472,plain,(
% 32.24/4.46 app(sk6,cons(sk5,nil))=sk3|~sQ8_spl),
% 32.24/4.46 inference(component_clause,[status(thm)],[f471])).
% 32.24/4.46 fof(f474,plain,(
% 32.24/4.46 sQ8_spl|~sQ5_spl),
% 32.24/4.46 inference(split_clause,[status(thm)],[f441,f471,f459])).
% 32.24/4.46 fof(f486,plain,(
% 32.24/4.46 ~neq(sk2,nil)|sQ5_spl),
% 32.24/4.46 inference(forward_demodulation,[status(thm)],[f433,f461])).
% 32.24/4.46 fof(f487,plain,(
% 32.24/4.46 $false|sQ5_spl),
% 32.24/4.46 inference(forward_subsumption_resolution,[status(thm)],[f486,f435])).
% 32.24/4.46 fof(f488,plain,(
% 32.24/4.46 sQ5_spl),
% 32.24/4.46 inference(contradiction_clause,[status(thm)],[f487])).
% 32.24/4.46 fof(f489,plain,(
% 32.24/4.46 app(cons(sk5,nil),sk6)=sk2|~sQ7_spl),
% 32.24/4.46 inference(forward_demodulation,[status(thm)],[f433,f468])).
% 32.24/4.46 fof(f495,plain,(
% 32.24/4.46 app(sk1,nil)=sk1),
% 32.24/4.46 inference(resolution,[status(thm)],[f272,f429])).
% 32.24/4.46 fof(f574,plain,(
% 32.24/4.46 ![X0]: (~ssList(X0)|ssList(cons(sk5,X0))|~sQ4_spl)),
% 32.24/4.46 inference(resolution,[status(thm)],[f285,f457])).
% 32.24/4.46 fof(f581,definition,(
% 32.24/4.46 sQ13_spl <=> (ssList(cons(sk5,nil)))),
% 32.24/4.46 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 32.24/4.46 fof(f582,plain,(
% 32.24/4.46 ssList(cons(sk5,nil))|~sQ13_spl),
% 32.24/4.46 inference(component_clause,[status(thm)],[f581])).
% 32.24/4.46 fof(f583,plain,(
% 32.24/4.46 ~ssList(cons(sk5,nil))|sQ13_spl),
% 32.24/4.46 inference(component_clause,[status(thm)],[f581])).
% 32.24/4.46 fof(f585,plain,(
% 32.24/4.46 ~ssList(nil)|sQ13_spl|~sQ4_spl),
% 32.24/4.46 inference(resolution,[status(thm)],[f583,f574])).
% 32.24/4.46 fof(f586,plain,(
% 32.24/4.46 $false|sQ13_spl|~sQ4_spl),
% 32.24/4.46 inference(forward_subsumption_resolution,[status(thm)],[f585,f206])).
% 32.24/4.46 fof(f587,plain,(
% 32.24/4.46 sQ13_spl|~sQ4_spl),
% 32.24/4.46 inference(contradiction_clause,[status(thm)],[f586])).
% 32.24/4.46 fof(f590,plain,(
% 32.24/4.46 app(nil,cons(sk5,nil))=cons(sk5,nil)|~sQ13_spl),
% 32.24/4.46 inference(resolution,[status(thm)],[f582,f273])).
% 32.24/4.46 fof(f592,plain,(
% 32.24/4.46 app(sk6,cons(sk5,nil))=sk1|~sQ8_spl),
% 32.24/4.46 inference(forward_demodulation,[status(thm)],[f434,f472])).
% 32.24/4.46 fof(f1416,plain,(
% 32.24/4.46 ![X0]: (~ssItem(sk5)|~ssList(X0)|~ssList(sk6)|~app(app(X0,cons(sk5,nil)),sk6)=sk2|~app(sk1,X0)=sk1|~sQ8_spl)),
% 32.24/4.46 inference(paramodulation,[status(thm)],[f592,f436])).
% 32.24/4.46 fof(f1418,definition,(
% 32.24/4.46 ![X0]: (sQ54_spl <=> (~ssList(X0)|~app(app(X0,cons(sk5,nil)),sk6)=sk2|~app(sk1,X0)=sk1))),
% 32.24/4.46 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 32.24/4.46 fof(f1419,plain,(
% 32.24/4.46 ![X0]: (~ssList(X0)|~app(app(X0,cons(sk5,nil)),sk6)=sk2|~app(sk1,X0)=sk1|~sQ54_spl)),
% 32.24/4.46 inference(component_clause,[status(thm)],[f1418])).
% 32.24/4.46 fof(f1421,plain,(
% 32.24/4.46 ~sQ4_spl|sQ54_spl|~sQ6_spl|~sQ8_spl),
% 32.24/4.46 inference(split_clause,[status(thm)],[f1416,f456,f1418,f463,f471])).
% 32.24/4.46 fof(f26164,plain,(
% 32.24/4.46 ~app(app(nil,cons(sk5,nil)),sk6)=sk2|~app(sk1,nil)=sk1|~sQ54_spl),
% 32.24/4.46 inference(resolution,[status(thm)],[f1419,f206])).
% 32.24/4.46 fof(f26201,definition,(
% 32.24/4.46 sQ1716_spl <=> (app(app(nil,cons(sk5,nil)),sk6)=sk2)),
% 32.24/4.46 introduced(definition,[new_symbols(definition,[sQ1716_spl])],[split_symbol_definition])).
% 32.24/4.46 fof(f26203,plain,(
% 32.24/4.46 ~app(app(nil,cons(sk5,nil)),sk6)=sk2|sQ1716_spl),
% 32.24/4.46 inference(component_clause,[status(thm)],[f26201])).
% 32.24/4.46 fof(f26204,definition,(
% 32.24/4.46 sQ1717_spl <=> (app(sk1,nil)=sk1)),
% 32.24/4.46 introduced(definition,[new_symbols(definition,[sQ1717_spl])],[split_symbol_definition])).
% 32.24/4.46 fof(f26206,plain,(
% 32.24/4.46 ~app(sk1,nil)=sk1|sQ1717_spl),
% 32.24/4.46 inference(component_clause,[status(thm)],[f26204])).
% 32.24/4.46 fof(f26207,plain,(
% 32.24/4.46 ~sQ1716_spl|~sQ1717_spl|~sQ54_spl),
% 32.24/4.46 inference(split_clause,[status(thm)],[f26164,f26201,f26204,f1418])).
% 32.24/4.46 fof(f26331,plain,(
% 32.24/4.46 ~app(cons(sk5,nil),sk6)=sk2|~sQ13_spl|sQ1716_spl),
% 32.24/4.46 inference(forward_demodulation,[status(thm)],[f590,f26203])).
% 32.24/4.46 fof(f26332,plain,(
% 32.24/4.46 ~sk2=sk2|~sQ7_spl|~sQ13_spl|sQ1716_spl),
% 32.24/4.46 inference(forward_demodulation,[status(thm)],[f489,f26331])).
% 32.24/4.46 fof(f26333,plain,(
% 32.24/4.46 $false|~sQ7_spl|~sQ13_spl|sQ1716_spl),
% 32.24/4.46 inference(trivial_equality_resolution,[status(thm)],[f26332])).
% 10.32/4.50 fof(f26334,plain,(
% 10.32/4.50 ~sQ7_spl|~sQ13_spl|sQ1716_spl),
% 10.32/4.50 inference(contradiction_clause,[status(thm)],[f26333])).
% 10.32/4.50 fof(f26336,plain,(
% 10.32/4.50 ~sk1=sk1|sQ1717_spl),
% 10.32/4.50 inference(forward_demodulation,[status(thm)],[f495,f26206])).
% 10.32/4.50 fof(f26337,plain,(
% 10.32/4.50 $false|sQ1717_spl),
% 10.32/4.50 inference(trivial_equality_resolution,[status(thm)],[f26336])).
% 10.32/4.50 fof(f26338,plain,(
% 10.32/4.50 sQ1717_spl),
% 10.32/4.50 inference(contradiction_clause,[status(thm)],[f26337])).
% 10.32/4.50 fof(f26339,plain,(
% 10.32/4.50 $false),
% 10.32/4.50 inference(sat_refutation,[status(thm)],[f462,f466,f470,f474,f488,f587,f1421,f26207,f26334,f26338])).
% 10.32/4.50 % SZS output end CNFRefutation for theBenchmark.p
% 10.32/4.52 % Elapsed time: 4.216050 seconds
% 10.32/4.52 % CPU time: 33.247517 seconds
% 10.32/4.52 % Total memory used: 670.785 MB
% 10.32/4.52 % Net memory used: 631.947 MB
%------------------------------------------------------------------------------