%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC387-1 : 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 : n009.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 02:42:20 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC387-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:20:43 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 0.11/0.43 % Refutation found
% 0.11/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.43 fof(f8,axiom,(
% 0.11/0.43 ssList(nil) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f100,axiom,(
% 0.11/0.43 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f187,negated_conjecture,(
% 0.11/0.43 ssList(sk2) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f190,negated_conjecture,(
% 0.11/0.43 sk2 = sk4 ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f191,negated_conjecture,(
% 0.11/0.43 sk1 = sk3 ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f192,negated_conjecture,(
% 0.11/0.43 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| ~ memberP(sk2,A) ) ))),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f193,negated_conjecture,(
% 0.11/0.43 ( nil = sk3| nil != sk4 ) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f194,negated_conjecture,(
% 0.11/0.43 ( nil != sk2| nil != sk1 ) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f195,negated_conjecture,(
% 0.11/0.43 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f196,negated_conjecture,(
% 0.11/0.43 ( cons(sk5,nil) = sk3| ~ neq(sk4,nil) ) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f197,negated_conjecture,(
% 0.11/0.43 ( memberP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f205,plain,(
% 0.11/0.43 ssList(nil)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.43 fof(f300,plain,(
% 0.11/0.43 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f100])).
% 0.11/0.43 fof(f429,plain,(
% 0.11/0.43 ssList(sk2)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f187])).
% 0.11/0.43 fof(f432,plain,(
% 0.11/0.43 sk2=sk4),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f190])).
% 0.11/0.43 fof(f433,plain,(
% 0.11/0.43 sk1=sk3),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f191])).
% 0.11/0.43 fof(f434,plain,(
% 0.11/0.43 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f192])).
% 0.11/0.43 fof(f435,plain,(
% 0.11/0.43 nil=sk3|~nil=sk4),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f193])).
% 0.11/0.43 fof(f436,plain,(
% 0.11/0.43 ~nil=sk2|~nil=sk1),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f194])).
% 0.11/0.43 fof(f437,plain,(
% 0.11/0.43 ssItem(sk5)|~neq(sk4,nil)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f195])).
% 0.11/0.43 fof(f438,plain,(
% 0.11/0.43 cons(sk5,nil)=sk3|~neq(sk4,nil)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f196])).
% 0.11/0.43 fof(f439,plain,(
% 0.11/0.43 memberP(sk4,sk5)|~neq(sk4,nil)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f197])).
% 0.11/0.43 fof(f493,plain,(
% 0.11/0.43 nil=sk1|~nil=sk4),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f433,f435])).
% 0.11/0.43 fof(f494,plain,(
% 0.11/0.43 nil=sk1|~nil=sk2),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f432,f493])).
% 0.11/0.43 fof(f495,plain,(
% 0.11/0.43 ~nil=sk2),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f436,f494])).
% 0.11/0.43 fof(f496,plain,(
% 0.11/0.43 ssItem(sk5)|~neq(sk2,nil)),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f432,f437])).
% 0.11/0.43 fof(f498,plain,(
% 0.11/0.43 ssItem(sk5)|~ssList(nil)|~ssList(sk2)|sk2=nil),
% 0.11/0.43 inference(resolution,[status(thm)],[f496,f300])).
% 0.11/0.43 fof(f500,plain,(
% 0.11/0.43 ssItem(sk5)|~ssList(sk2)|sk2=nil),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f498,f205])).
% 0.11/0.43 fof(f517,plain,(
% 0.11/0.43 memberP(sk2,sk5)|~neq(sk4,nil)),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f432,f439])).
% 0.11/0.43 fof(f518,plain,(
% 0.11/0.43 memberP(sk2,sk5)|~neq(sk2,nil)),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f432,f517])).
% 0.11/0.43 fof(f520,plain,(
% 0.11/0.43 memberP(sk2,sk5)|~ssList(nil)|~ssList(sk2)|sk2=nil),
% 0.11/0.43 inference(resolution,[status(thm)],[f518,f300])).
% 0.11/0.43 fof(f522,plain,(
% 0.11/0.43 memberP(sk2,sk5)|~ssList(sk2)|sk2=nil),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f520,f205])).
% 0.11/0.43 fof(f523,plain,(
% 0.11/0.43 cons(sk5,nil)=sk1|~neq(sk4,nil)),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f433,f438])).
% 0.11/0.43 fof(f524,plain,(
% 0.11/0.43 cons(sk5,nil)=sk1|~neq(sk2,nil)),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f432,f523])).
% 0.11/0.43 fof(f526,plain,(
% 0.11/0.43 cons(sk5,nil)=sk1|~ssList(nil)|~ssList(sk2)|sk2=nil),
% 0.11/0.43 inference(resolution,[status(thm)],[f524,f300])).
% 0.11/0.43 fof(f528,plain,(
% 0.11/0.43 cons(sk5,nil)=sk1|~ssList(sk2)|sk2=nil),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f526,f205])).
% 0.11/0.43 fof(f562,plain,(
% 0.11/0.43 ssItem(sk5)|sk2=nil),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f500,f429])).
% 0.11/0.43 fof(f573,plain,(
% 0.11/0.43 memberP(sk2,sk5)|sk2=nil),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f522,f429])).
% 0.11/0.43 fof(f574,plain,(
% 0.11/0.43 sk2=nil|~ssItem(sk5)|~cons(sk5,nil)=sk1),
% 0.11/0.43 inference(resolution,[status(thm)],[f573,f434])).
% 0.11/0.43 fof(f575,plain,(
% 0.11/0.43 ~ssItem(sk5)|~cons(sk5,nil)=sk1),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f574,f495])).
% 0.11/0.43 fof(f668,plain,(
% 0.11/0.43 cons(sk5,nil)=sk1|sk2=nil),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f528,f429])).
% 0.11/0.43 fof(f922,plain,(
% 0.11/0.43 ~cons(sk5,nil)=sk1|sk2=nil),
% 0.11/0.43 inference(resolution,[status(thm)],[f575,f562])).
% 0.11/0.43 fof(f923,plain,(
% 0.11/0.43 sk2=nil),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f922,f668])).
% 0.11/0.43 fof(f924,plain,(
% 0.11/0.43 $false),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f923,f495])).
% 0.11/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.46 % Elapsed time: 0.077696 seconds
% 0.11/0.46 % CPU time: 0.233567 seconds
% 0.11/0.46 % Total memory used: 62.235 MB
% 0.11/0.46 % Net memory used: 62.112 MB
%------------------------------------------------------------------------------