%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC101-1 : 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 : n004.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 02:41:35 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC101-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 21 07:55:36 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.41 % Drodi V4.1.1
% 0.12/0.46 % Refutation found
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.46 fof(f8,axiom,(
% 0.12/0.46 ssList(nil) ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f73,axiom,(
% 0.12/0.46 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f85,axiom,(
% 0.12/0.46 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f100,axiom,(
% 0.12/0.46 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f119,axiom,(
% 0.12/0.46 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f144,axiom,(
% 0.12/0.46 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f186,negated_conjecture,(
% 0.12/0.46 ssList(sk1) ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f190,negated_conjecture,(
% 0.12/0.46 sk2 = sk4 ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f191,negated_conjecture,(
% 0.12/0.46 sk1 = sk3 ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f192,negated_conjecture,(
% 0.12/0.46 ssList(sk5) ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f193,negated_conjecture,(
% 0.12/0.46 app(sk3,sk5) = sk4 ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f196,negated_conjecture,(
% 0.12/0.46 ( nil = sk4| nil != sk3 ) ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f197,negated_conjecture,(
% 0.12/0.46 ( nil != sk2| nil != sk1 ) ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f198,negated_conjecture,(
% 0.12/0.46 ( ~ neq(sk1,nil)| ~ frontsegP(sk2,sk1) ) ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f206,plain,(
% 0.12/0.46 ssList(nil)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.46 fof(f272,plain,(
% 0.12/0.46 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f73])).
% 0.12/0.46 fof(f284,plain,(
% 0.12/0.46 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f85])).
% 0.12/0.46 fof(f301,plain,(
% 0.12/0.46 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f100])).
% 0.12/0.46 fof(f327,plain,(
% 0.12/0.46 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.12/0.46 inference(miniscoping,[status(thm)],[f119])).
% 0.12/0.46 fof(f328,plain,(
% 0.12/0.46 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f327])).
% 0.12/0.46 fof(f358,plain,(
% 0.12/0.46 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.12/0.46 inference(miniscoping,[status(thm)],[f144])).
% 0.12/0.46 fof(f359,plain,(
% 0.12/0.46 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f358])).
% 0.12/0.46 fof(f429,plain,(
% 0.12/0.46 ssList(sk1)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f186])).
% 0.12/0.46 fof(f433,plain,(
% 0.12/0.46 sk2=sk4),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f190])).
% 0.12/0.46 fof(f434,plain,(
% 0.12/0.46 sk1=sk3),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f191])).
% 0.12/0.46 fof(f435,plain,(
% 0.12/0.46 ssList(sk5)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/0.46 fof(f436,plain,(
% 0.12/0.46 app(sk3,sk5)=sk4),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f193])).
% 0.12/0.46 fof(f440,plain,(
% 0.12/0.46 nil=sk4|~nil=sk3),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f196])).
% 0.12/0.46 fof(f441,plain,(
% 0.12/0.46 ~nil=sk2|~nil=sk1),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f197])).
% 0.12/0.46 fof(f442,plain,(
% 0.12/0.46 ~neq(sk1,nil)|~frontsegP(sk2,sk1)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f198])).
% 0.12/0.46 fof(f458,plain,(
% 0.12/0.46 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.12/0.46 inference(destructive_equality_resolution,[status(thm)],[f359])).
% 0.12/0.46 fof(f472,plain,(
% 0.12/0.46 app(nil,nil)=nil),
% 0.12/0.46 inference(resolution,[status(thm)],[f272,f206])).
% 0.12/0.46 fof(f499,plain,(
% 0.12/0.46 app(sk1,sk5)=sk4),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f434,f436])).
% 0.12/0.46 fof(f500,plain,(
% 0.12/0.46 app(sk1,sk5)=sk2),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f433,f499])).
% 0.12/0.46 fof(f503,plain,(
% 0.12/0.46 nil=sk2|~nil=sk3),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f433,f440])).
% 0.12/0.46 fof(f504,plain,(
% 0.12/0.46 nil=sk2|~nil=sk1),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f434,f503])).
% 0.12/0.46 fof(f537,plain,(
% 0.12/0.46 ~nil=sk1),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f441,f504])).
% 0.12/0.46 fof(f578,plain,(
% 0.12/0.46 ![X0]: (~app(X0,sk1)=nil|~ssList(X0)|nil=sk1)),
% 0.12/0.46 inference(resolution,[status(thm)],[f328,f429])).
% 0.12/0.46 fof(f580,plain,(
% 0.12/0.46 ![X0]: (~app(X0,sk1)=nil|~ssList(X0))),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f578,f537])).
% 0.12/0.46 fof(f633,plain,(
% 0.12/0.46 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f458,f284])).
% 0.12/0.46 fof(f641,plain,(
% 0.12/0.46 ~ssList(sk5)|~ssList(sk1)|frontsegP(sk2,sk1)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f500,f633])).
% 0.12/0.46 fof(f647,plain,(
% 0.12/0.46 ~ssList(sk1)|frontsegP(sk2,sk1)),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f641,f435])).
% 0.12/0.46 fof(f1224,plain,(
% 0.12/0.46 ~app(sk1,sk1)=nil),
% 0.12/0.46 inference(resolution,[status(thm)],[f580,f429])).
% 0.12/0.46 fof(f1226,plain,(
% 0.12/0.46 ~neq(sk1,nil)),
% 0.12/0.46 inference(backward_subsumption_resolution,[status(thm)],[f442,f1227])).
% 0.12/0.46 fof(f1227,plain,(
% 0.12/0.46 frontsegP(sk2,sk1)),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f647,f429])).
% 0.12/0.46 fof(f1237,plain,(
% 0.12/0.46 ~ssList(nil)|~ssList(sk1)|sk1=nil),
% 0.12/0.46 inference(resolution,[status(thm)],[f1226,f301])).
% 0.12/0.46 fof(f1239,plain,(
% 0.12/0.46 ~ssList(sk1)|sk1=nil),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1237,f206])).
% 0.12/0.46 fof(f2276,plain,(
% 0.12/0.46 ~app(sk1,nil)=nil),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f2292,f1224])).
% 0.12/0.46 fof(f2292,plain,(
% 0.12/0.46 sk1=nil),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1239,f429])).
% 0.12/0.46 fof(f2301,plain,(
% 0.12/0.46 ~app(nil,nil)=nil),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f2292,f2276])).
% 0.12/0.46 fof(f2302,plain,(
% 0.12/0.46 ~nil=nil),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f472,f2301])).
% 0.12/0.46 fof(f2303,plain,(
% 0.12/0.46 $false),
% 0.12/0.46 inference(trivial_equality_resolution,[status(thm)],[f2302])).
% 0.12/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.48 % Elapsed time: 0.086980 seconds
% 0.12/0.48 % CPU time: 0.424579 seconds
% 0.12/0.48 % Total memory used: 72.160 MB
% 0.12/0.48 % Net memory used: 71.810 MB
%------------------------------------------------------------------------------