%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC049-1 : 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 02:41:26 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC049-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % 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 07:52:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f8,axiom,(
% 0.14/0.40 ssList(nil) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f59,axiom,(
% 0.14/0.40 (![U]: (( ~ ssList(U)| rearsegP(U,U) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f100,axiom,(
% 0.14/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f186,negated_conjecture,(
% 0.14/0.40 ssList(sk1) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f187,negated_conjecture,(
% 0.14/0.40 ssList(sk2) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f190,negated_conjecture,(
% 0.14/0.40 sk2 = sk4 ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f191,negated_conjecture,(
% 0.14/0.40 sk1 = sk3 ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f192,negated_conjecture,(
% 0.14/0.40 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ rearsegP(sk2,A)| ~ rearsegP(sk1,A) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f193,negated_conjecture,(
% 0.14/0.40 ( nil = sk3| nil != sk4 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f194,negated_conjecture,(
% 0.14/0.40 ( nil != sk2| nil != sk1 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f195,negated_conjecture,(
% 0.14/0.40 ( ~ neq(sk4,nil)| neq(sk3,nil) ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f196,negated_conjecture,(
% 0.14/0.40 ( ~ neq(sk4,nil)| rearsegP(sk4,sk3) ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f204,plain,(
% 0.14/0.40 ssList(nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f255,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f59])).
% 0.14/0.40 fof(f299,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f100])).
% 0.14/0.40 fof(f427,plain,(
% 0.14/0.40 ssList(sk1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f186])).
% 0.14/0.40 fof(f428,plain,(
% 0.14/0.40 ssList(sk2)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f187])).
% 0.14/0.40 fof(f431,plain,(
% 0.14/0.40 sk2=sk4),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f190])).
% 0.14/0.40 fof(f432,plain,(
% 0.14/0.40 sk1=sk3),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.14/0.40 fof(f433,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.40 fof(f434,plain,(
% 0.14/0.40 nil=sk3|~nil=sk4),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.14/0.40 fof(f435,plain,(
% 0.14/0.40 ~nil=sk2|~nil=sk1),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f194])).
% 0.14/0.40 fof(f436,plain,(
% 0.14/0.40 ~neq(sk4,nil)|neq(sk3,nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f195])).
% 0.14/0.40 fof(f437,plain,(
% 0.14/0.40 ~neq(sk4,nil)|rearsegP(sk4,sk3)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f196])).
% 0.14/0.40 fof(f474,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|neq(sk2,X0)|sk2=X0)),
% 0.14/0.40 inference(resolution,[status(thm)],[f299,f428])).
% 0.14/0.40 fof(f491,plain,(
% 0.14/0.40 nil=sk1|~nil=sk4),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f432,f434])).
% 0.14/0.40 fof(f492,plain,(
% 0.14/0.40 nil=sk1|~nil=sk2),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f431,f491])).
% 0.14/0.40 fof(f493,plain,(
% 0.14/0.40 ~nil=sk2),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f435,f492])).
% 0.14/0.40 fof(f494,plain,(
% 0.14/0.40 ~neq(sk2,nil)|neq(sk3,nil)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f431,f436])).
% 0.14/0.40 fof(f495,plain,(
% 0.14/0.40 ~neq(sk2,nil)|neq(sk1,nil)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f432,f494])).
% 0.14/0.40 fof(f510,plain,(
% 0.14/0.40 ~neq(sk2,nil)|rearsegP(sk4,sk3)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f431,f437])).
% 0.14/0.40 fof(f511,plain,(
% 0.14/0.40 ~neq(sk2,nil)|rearsegP(sk2,sk3)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f431,f510])).
% 0.14/0.40 fof(f512,plain,(
% 0.14/0.40 ~neq(sk2,nil)|rearsegP(sk2,sk1)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f432,f511])).
% 0.14/0.40 fof(f531,plain,(
% 0.14/0.40 ~ssList(nil)|sk2=nil|rearsegP(sk2,sk1)),
% 0.14/0.40 inference(resolution,[status(thm)],[f474,f512])).
% 0.14/0.40 fof(f532,plain,(
% 0.14/0.40 ~ssList(nil)|sk2=nil|neq(sk1,nil)),
% 0.14/0.40 inference(resolution,[status(thm)],[f474,f495])).
% 0.14/0.40 fof(f536,plain,(
% 0.14/0.40 sk2=nil|rearsegP(sk2,sk1)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f531,f204])).
% 0.14/0.41 fof(f537,plain,(
% 0.14/0.41 sk2=nil|neq(sk1,nil)),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f532,f204])).
% 0.14/0.41 fof(f588,plain,(
% 0.14/0.41 rearsegP(sk2,sk1)),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f536,f493])).
% 0.14/0.41 fof(f591,plain,(
% 0.14/0.41 neq(sk1,nil)),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f537,f493])).
% 0.14/0.41 fof(f592,plain,(
% 0.14/0.41 ~ssList(sk1)|~rearsegP(sk2,sk1)|~rearsegP(sk1,sk1)),
% 0.14/0.41 inference(resolution,[status(thm)],[f591,f433])).
% 0.14/0.41 fof(f593,plain,(
% 0.14/0.41 ~rearsegP(sk2,sk1)|~rearsegP(sk1,sk1)),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f592,f427])).
% 0.14/0.41 fof(f629,plain,(
% 0.14/0.41 ~rearsegP(sk1,sk1)),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f593,f588])).
% 0.14/0.41 fof(f631,plain,(
% 0.14/0.41 ~ssList(sk1)),
% 0.14/0.41 inference(resolution,[status(thm)],[f629,f255])).
% 0.14/0.41 fof(f634,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f631,f427])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.071650 seconds
% 0.14/0.45 % CPU time: 0.209578 seconds
% 0.14/0.45 % Total memory used: 109.157 MB
% 0.14/0.45 % Net memory used: 108.981 MB
%------------------------------------------------------------------------------