%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC386-1 : 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 : n017.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 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC386-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.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 08:15:28 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f8,axiom,(
% 0.11/0.41 ssList(nil) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f71,axiom,(
% 0.11/0.41 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f115,axiom,(
% 0.11/0.41 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f190,negated_conjecture,(
% 0.11/0.41 sk2 = sk4 ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f191,negated_conjecture,(
% 0.11/0.41 sk1 = sk3 ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f192,negated_conjecture,(
% 0.11/0.41 ( ssItem(sk5)| nil = sk4 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f193,negated_conjecture,(
% 0.11/0.41 ( ssItem(sk5)| nil = sk3 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f194,negated_conjecture,(
% 0.11/0.41 ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f195,negated_conjecture,(
% 0.11/0.41 ( memberP(sk4,sk5)| nil = sk4 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f197,negated_conjecture,(
% 0.11/0.41 ( memberP(sk4,sk5)| nil = sk3 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f199,negated_conjecture,(
% 0.11/0.41 (![A]: (( nil = sk2| ~ ssItem(A)| cons(A,nil) != sk1| ~ memberP(sk2,A) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f200,negated_conjecture,(
% 0.11/0.41 ( nil != sk1| neq(sk2,nil) ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f209,plain,(
% 0.11/0.41 ssList(nil)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.41 fof(f272,plain,(
% 0.11/0.41 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f71])).
% 0.11/0.41 fof(f322,plain,(
% 0.11/0.41 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f115])).
% 0.11/0.41 fof(f323,plain,(
% 0.11/0.41 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f322])).
% 0.11/0.41 fof(f436,plain,(
% 0.11/0.41 sk2=sk4),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f190])).
% 0.11/0.41 fof(f437,plain,(
% 0.11/0.41 sk1=sk3),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.11/0.41 fof(f438,plain,(
% 0.11/0.41 ssItem(sk5)|nil=sk4),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f192])).
% 0.11/0.41 fof(f439,plain,(
% 0.11/0.41 ssItem(sk5)|nil=sk3),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f193])).
% 0.11/0.41 fof(f440,plain,(
% 0.11/0.41 cons(sk5,nil)=sk3|nil=sk4),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f194])).
% 0.11/0.41 fof(f441,plain,(
% 0.11/0.41 memberP(sk4,sk5)|nil=sk4),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f195])).
% 0.11/0.41 fof(f443,plain,(
% 0.11/0.41 memberP(sk4,sk5)|nil=sk3),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f197])).
% 0.11/0.41 fof(f445,plain,(
% 0.11/0.41 ![X0]: (nil=sk2|~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f199])).
% 0.11/0.41 fof(f446,plain,(
% 0.11/0.41 ~nil=sk1|neq(sk2,nil)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f200])).
% 0.11/0.41 fof(f455,plain,(
% 0.11/0.41 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.11/0.41 inference(destructive_equality_resolution,[status(thm)],[f323])).
% 0.11/0.41 fof(f456,plain,(
% 0.11/0.41 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.11/0.41 inference(duplicate_literals_removal,[status(thm)],[f455])).
% 0.11/0.41 fof(f481,plain,(
% 0.11/0.41 ssItem(sk5)|nil=sk2),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f436,f438])).
% 0.11/0.41 fof(f482,plain,(
% 0.11/0.41 ssItem(sk5)|nil=sk1),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f437,f439])).
% 0.11/0.41 fof(f483,plain,(
% 0.11/0.41 cons(sk5,nil)=sk1|nil=sk4),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f437,f440])).
% 0.11/0.41 fof(f484,plain,(
% 0.11/0.41 cons(sk5,nil)=sk1|nil=sk2),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f436,f483])).
% 0.11/0.41 fof(f485,plain,(
% 0.11/0.41 memberP(sk2,sk5)|nil=sk4),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f436,f441])).
% 0.11/0.41 fof(f486,plain,(
% 0.11/0.41 memberP(sk2,sk5)|nil=sk2),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f436,f485])).
% 0.11/0.41 fof(f489,plain,(
% 0.11/0.41 memberP(sk2,sk5)|nil=sk3),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f436,f443])).
% 0.11/0.41 fof(f490,plain,(
% 0.11/0.41 memberP(sk2,sk5)|nil=sk1),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f437,f489])).
% 0.11/0.41 fof(f552,plain,(
% 0.11/0.41 nil=sk2|~ssItem(sk5)|~cons(sk5,nil)=sk1|nil=sk2),
% 0.11/0.41 inference(resolution,[status(thm)],[f445,f486])).
% 0.11/0.41 fof(f554,plain,(
% 0.11/0.41 nil=sk2|~ssItem(sk5)|~cons(sk5,nil)=sk1),
% 0.11/0.41 inference(duplicate_literals_removal,[status(thm)],[f552])).
% 0.11/0.41 fof(f555,plain,(
% 0.11/0.41 nil=sk2),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f484,f556])).
% 0.11/0.41 fof(f556,plain,(
% 0.11/0.41 nil=sk2|~cons(sk5,nil)=sk1),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f554,f481])).
% 0.11/0.41 fof(f559,plain,(
% 0.11/0.41 ~nil=sk1|neq(nil,nil)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f555,f446])).
% 0.11/0.41 fof(f561,plain,(
% 0.11/0.41 memberP(nil,sk5)|nil=sk1),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f555,f490])).
% 0.11/0.41 fof(f596,plain,(
% 0.11/0.41 ~nil=sk1|~ssList(nil)),
% 0.11/0.41 inference(resolution,[status(thm)],[f559,f456])).
% 0.11/0.41 fof(f599,plain,(
% 0.11/0.41 ssItem(sk5)),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f482,f604])).
% 0.11/0.41 fof(f601,plain,(
% 0.11/0.41 memberP(nil,sk5)),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f561,f604])).
% 0.11/0.41 fof(f604,plain,(
% 0.11/0.41 ~nil=sk1),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f596,f209])).
% 0.11/0.41 fof(f629,plain,(
% 0.11/0.41 ~ssItem(sk5)),
% 0.11/0.41 inference(resolution,[status(thm)],[f601,f272])).
% 0.11/0.41 fof(f630,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f629,f599])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.052634 seconds
% 0.11/0.43 % CPU time: 0.152593 seconds
% 0.11/0.43 % Total memory used: 55.031 MB
% 0.11/0.43 % Net memory used: 54.941 MB
%------------------------------------------------------------------------------