%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC104-1 : 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 : n015.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 02:41:36 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC104-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:59:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f8,axiom,(
% 0.12/0.38 ssList(nil) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f85,axiom,(
% 0.12/0.38 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f100,axiom,(
% 0.12/0.38 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f144,axiom,(
% 0.12/0.38 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f186,negated_conjecture,(
% 0.12/0.38 ssList(sk1) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f190,negated_conjecture,(
% 0.12/0.38 sk2 = sk4 ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f191,negated_conjecture,(
% 0.12/0.38 sk1 = sk3 ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f192,negated_conjecture,(
% 0.12/0.38 neq(sk2,nil) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f193,negated_conjecture,(
% 0.12/0.38 ssList(sk5) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f194,negated_conjecture,(
% 0.12/0.38 app(sk3,sk5) = sk4 ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f197,negated_conjecture,(
% 0.12/0.38 ( nil = sk4| nil != sk3 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f198,negated_conjecture,(
% 0.12/0.38 ( ~ neq(sk1,nil)| ~ frontsegP(sk2,sk1) ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f206,plain,(
% 0.12/0.38 ssList(nil)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.38 fof(f284,plain,(
% 0.12/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f85])).
% 0.12/0.38 fof(f301,plain,(
% 0.12/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f100])).
% 0.12/0.38 fof(f358,plain,(
% 0.12/0.38 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f144])).
% 0.12/0.38 fof(f359,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f358])).
% 0.12/0.38 fof(f429,plain,(
% 0.12/0.38 ssList(sk1)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f186])).
% 0.12/0.38 fof(f433,plain,(
% 0.12/0.38 sk2=sk4),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f190])).
% 0.12/0.38 fof(f434,plain,(
% 0.12/0.38 sk1=sk3),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f191])).
% 0.12/0.38 fof(f435,plain,(
% 0.12/0.38 neq(sk2,nil)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/0.38 fof(f436,plain,(
% 0.12/0.38 ssList(sk5)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f193])).
% 0.12/0.38 fof(f437,plain,(
% 0.12/0.38 app(sk3,sk5)=sk4),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f194])).
% 0.12/0.38 fof(f441,plain,(
% 0.12/0.38 nil=sk4|~nil=sk3),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f197])).
% 0.12/0.38 fof(f442,plain,(
% 0.12/0.38 ~neq(sk1,nil)|~frontsegP(sk2,sk1)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f198])).
% 0.12/0.38 fof(f458,plain,(
% 0.12/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.12/0.38 inference(destructive_equality_resolution,[status(thm)],[f359])).
% 0.12/0.38 fof(f500,plain,(
% 0.12/0.38 app(sk1,sk5)=sk4),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f434,f437])).
% 0.12/0.38 fof(f501,plain,(
% 0.12/0.38 app(sk1,sk5)=sk2),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f433,f500])).
% 0.12/0.38 fof(f545,plain,(
% 0.12/0.38 nil=sk2|~nil=sk3),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f433,f441])).
% 0.12/0.38 fof(f546,plain,(
% 0.12/0.38 nil=sk2|~nil=sk1),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f434,f545])).
% 0.12/0.38 fof(f548,plain,(
% 0.12/0.38 ~ssList(nil)|~ssList(sk1)|sk1=nil|~frontsegP(sk2,sk1)),
% 0.12/0.38 inference(resolution,[status(thm)],[f301,f442])).
% 0.12/0.38 fof(f551,plain,(
% 0.12/0.38 ~ssList(sk1)|sk1=nil|~frontsegP(sk2,sk1)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f548,f206])).
% 0.12/0.38 fof(f680,plain,(
% 0.12/0.38 sk1=nil|~frontsegP(sk2,sk1)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f551,f429])).
% 0.12/0.38 fof(f697,plain,(
% 0.12/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f458,f284])).
% 0.12/0.39 fof(f707,plain,(
% 0.12/0.39 ~ssList(sk5)|~ssList(sk1)|frontsegP(sk2,sk1)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f501,f697])).
% 0.12/0.39 fof(f713,plain,(
% 0.12/0.39 ~ssList(sk1)|frontsegP(sk2,sk1)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f707,f436])).
% 0.12/0.39 fof(f742,plain,(
% 0.12/0.39 ~neq(sk1,nil)),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f442,f744])).
% 0.12/0.39 fof(f743,plain,(
% 0.12/0.39 sk1=nil),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f680,f744])).
% 0.12/0.39 fof(f744,plain,(
% 0.12/0.39 frontsegP(sk2,sk1)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f713,f429])).
% 0.12/0.39 fof(f754,plain,(
% 0.12/0.39 ~neq(nil,nil)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f743,f742])).
% 0.12/0.39 fof(f758,plain,(
% 0.12/0.39 nil=sk2|~nil=nil),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f743,f546])).
% 0.12/0.39 fof(f766,plain,(
% 0.12/0.39 nil=sk2),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f758])).
% 0.12/0.39 fof(f769,plain,(
% 0.12/0.39 neq(nil,nil)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f766,f435])).
% 0.12/0.39 fof(f928,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f769,f754])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.056369 seconds
% 0.12/0.41 % CPU time: 0.163599 seconds
% 0.12/0.41 % Total memory used: 68.601 MB
% 0.12/0.41 % Net memory used: 68.462 MB
%------------------------------------------------------------------------------