%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC355-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:42:15 PM UTC 2026
% Result : Unsatisfiable 3.89s 1.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC355-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:19:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 3.89/1.01 % Refutation found
% 3.89/1.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.89/1.01 % SZS output start CNFRefutation for theBenchmark
% 3.89/1.01 fof(f8,axiom,(
% 3.89/1.01 ssList(nil) ),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f57,axiom,(
% 3.89/1.01 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f74,axiom,(
% 3.89/1.01 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f86,axiom,(
% 3.89/1.01 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f172,axiom,(
% 3.89/1.01 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f186,negated_conjecture,(
% 3.89/1.01 ssList(sk1) ),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f190,negated_conjecture,(
% 3.89/1.01 sk2 = sk4 ),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f191,negated_conjecture,(
% 3.89/1.01 sk1 = sk3 ),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f192,negated_conjecture,(
% 3.89/1.01 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f197,negated_conjecture,(
% 3.89/1.01 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f198,negated_conjecture,(
% 3.89/1.01 ( app(sk3,cons(sk5,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f199,negated_conjecture,(
% 3.89/1.01 ( ~ segmentP(sk2,sk1)| ~ neq(sk4,nil) ) ),
% 3.89/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/1.01 fof(f207,plain,(
% 3.89/1.01 ssList(nil)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f8])).
% 3.89/1.01 fof(f256,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f57])).
% 3.89/1.01 fof(f274,plain,(
% 3.89/1.01 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f74])).
% 3.89/1.01 fof(f286,plain,(
% 3.89/1.01 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f86])).
% 3.89/1.01 fof(f404,plain,(
% 3.89/1.01 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f172])).
% 3.89/1.01 fof(f430,plain,(
% 3.89/1.01 ssList(sk1)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f186])).
% 3.89/1.01 fof(f434,plain,(
% 3.89/1.01 sk2=sk4),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f190])).
% 3.89/1.01 fof(f435,plain,(
% 3.89/1.01 sk1=sk3),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f191])).
% 3.89/1.01 fof(f436,plain,(
% 3.89/1.01 neq(sk2,nil)|neq(sk2,nil)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f192])).
% 3.89/1.01 fof(f441,plain,(
% 3.89/1.01 ssItem(sk5)|~neq(sk4,nil)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f197])).
% 3.89/1.01 fof(f442,plain,(
% 3.89/1.01 app(sk3,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f198])).
% 3.89/1.01 fof(f443,plain,(
% 3.89/1.01 ~segmentP(sk2,sk1)|~neq(sk4,nil)),
% 3.89/1.01 inference(cnf_transformation,[status(thm)],[f199])).
% 3.89/1.01 fof(f477,plain,(
% 3.89/1.01 neq(sk2,nil)),
% 3.89/1.01 inference(duplicate_literals_removal,[status(thm)],[f436])).
% 3.89/1.01 fof(f480,plain,(
% 3.89/1.01 ssItem(sk5)|~neq(sk2,nil)),
% 3.89/1.01 inference(forward_demodulation,[status(thm)],[f434,f441])).
% 3.89/1.01 fof(f481,plain,(
% 3.89/1.01 ssItem(sk5)),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f480,f477])).
% 3.89/1.01 fof(f482,plain,(
% 3.89/1.01 app(sk1,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 3.89/1.01 inference(forward_demodulation,[status(thm)],[f435,f442])).
% 3.89/1.01 fof(f483,plain,(
% 3.89/1.01 app(sk1,cons(sk5,nil))=sk2|~neq(sk4,nil)),
% 3.89/1.01 inference(forward_demodulation,[status(thm)],[f434,f482])).
% 3.89/1.01 fof(f484,plain,(
% 3.89/1.01 app(sk1,cons(sk5,nil))=sk2|~neq(sk2,nil)),
% 3.89/1.01 inference(forward_demodulation,[status(thm)],[f434,f483])).
% 3.89/1.01 fof(f485,plain,(
% 3.89/1.01 app(sk1,cons(sk5,nil))=sk2),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f484,f477])).
% 3.89/1.01 fof(f486,plain,(
% 3.89/1.01 ~segmentP(sk2,sk1)|~neq(sk2,nil)),
% 3.89/1.01 inference(forward_demodulation,[status(thm)],[f434,f443])).
% 3.89/1.01 fof(f487,plain,(
% 3.89/1.01 ~segmentP(sk2,sk1)),
% 3.89/1.01 inference(forward_subsumption_resolution,[status(thm)],[f486,f477])).
% 3.89/1.01 fof(f493,plain,(
% 3.89/1.01 app(nil,sk1)=sk1),
% 3.89/1.01 inference(resolution,[status(thm)],[f274,f430])).
% 4.67/1.02 fof(f503,plain,(
% 4.67/1.02 ![X0]: (~ssList(X0)|ssList(cons(sk5,X0)))),
% 4.67/1.02 inference(resolution,[status(thm)],[f286,f481])).
% 4.67/1.02 fof(f1087,plain,(
% 4.67/1.02 ssList(cons(sk5,nil))),
% 4.67/1.02 inference(resolution,[status(thm)],[f503,f207])).
% 4.67/1.02 fof(f1171,plain,(
% 4.67/1.02 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2)|~ssList(X2))),
% 4.67/1.02 inference(resolution,[status(thm)],[f404,f256])).
% 4.67/1.02 fof(f1174,plain,(
% 4.67/1.02 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 4.67/1.02 inference(duplicate_literals_removal,[status(thm)],[f1171])).
% 4.67/1.02 fof(f1178,plain,(
% 4.67/1.02 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|segmentP(app(sk1,X0),sk1))),
% 4.67/1.02 inference(paramodulation,[status(thm)],[f493,f1174])).
% 4.67/1.02 fof(f1186,plain,(
% 4.67/1.02 ![X0]: (~ssList(X0)|~ssList(sk1)|segmentP(app(sk1,X0),sk1))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1178,f207])).
% 4.67/1.02 fof(f1191,plain,(
% 4.67/1.02 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1))),
% 4.67/1.02 inference(resolution,[status(thm)],[f1186,f430])).
% 4.67/1.02 fof(f1196,plain,(
% 4.67/1.02 ~ssList(cons(sk5,nil))|segmentP(sk2,sk1)),
% 4.67/1.02 inference(paramodulation,[status(thm)],[f485,f1191])).
% 4.67/1.02 fof(f1202,plain,(
% 4.67/1.02 segmentP(sk2,sk1)),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1196,f1087])).
% 4.67/1.02 fof(f1203,plain,(
% 4.67/1.02 $false),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f487,f1202])).
% 4.67/1.02 % SZS output end CNFRefutation for theBenchmark.p
% 4.67/1.06 % Elapsed time: 0.677113 seconds
% 4.67/1.06 % CPU time: 4.945687 seconds
% 4.67/1.06 % Total memory used: 180.140 MB
% 4.67/1.06 % Net memory used: 177.050 MB
%------------------------------------------------------------------------------