%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC217-1 : 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 : 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 02:41:53 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC217-1 : 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 : n017.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 08:01:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f8,axiom,(
% 0.13/0.40 ssList(nil) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f99,axiom,(
% 0.13/0.40 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f100,axiom,(
% 0.13/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f186,negated_conjecture,(
% 0.13/0.40 ssList(sk1) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f190,negated_conjecture,(
% 0.13/0.40 sk2 = sk4 ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f191,negated_conjecture,(
% 0.13/0.40 sk1 = sk3 ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f192,negated_conjecture,(
% 0.13/0.40 neq(sk2,nil) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f193,negated_conjecture,(
% 0.13/0.40 ~ neq(sk1,nil) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f195,negated_conjecture,(
% 0.13/0.40 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f196,negated_conjecture,(
% 0.13/0.40 ( cons(sk5,nil) = sk3| ~ neq(sk4,nil) ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f205,plain,(
% 0.13/0.40 ssList(nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f298,plain,(
% 0.13/0.40 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f99])).
% 0.13/0.40 fof(f299,plain,(
% 0.13/0.40 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f298])).
% 0.13/0.40 fof(f300,plain,(
% 0.13/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f100])).
% 0.13/0.40 fof(f428,plain,(
% 0.13/0.40 ssList(sk1)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f186])).
% 0.13/0.40 fof(f432,plain,(
% 0.13/0.40 sk2=sk4),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.40 fof(f433,plain,(
% 0.13/0.40 sk1=sk3),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.40 fof(f434,plain,(
% 0.13/0.40 neq(sk2,nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.40 fof(f435,plain,(
% 0.13/0.40 ~neq(sk1,nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.40 fof(f437,plain,(
% 0.13/0.40 ssItem(sk5)|~neq(sk4,nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f195])).
% 0.13/0.40 fof(f438,plain,(
% 0.13/0.40 cons(sk5,nil)=sk3|~neq(sk4,nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/0.40 fof(f475,plain,(
% 0.13/0.40 ssItem(sk5)|~neq(sk2,nil)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f432,f437])).
% 0.13/0.40 fof(f476,plain,(
% 0.13/0.40 ssItem(sk5)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f475,f434])).
% 0.13/0.40 fof(f477,plain,(
% 0.13/0.40 cons(sk5,nil)=sk1|~neq(sk4,nil)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f433,f438])).
% 0.13/0.40 fof(f478,plain,(
% 0.13/0.40 cons(sk5,nil)=sk1|~neq(sk2,nil)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f432,f477])).
% 0.13/0.40 fof(f479,plain,(
% 0.13/0.40 cons(sk5,nil)=sk1),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f478,f434])).
% 0.13/0.40 fof(f486,plain,(
% 0.13/0.40 ![X0]: (~cons(sk5,X0)=X0|~ssList(X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f299,f476])).
% 0.13/0.40 fof(f490,plain,(
% 0.13/0.40 ~ssList(nil)|~ssList(sk1)|sk1=nil),
% 0.13/0.40 inference(resolution,[status(thm)],[f300,f435])).
% 0.13/0.40 fof(f493,plain,(
% 0.13/0.40 ~ssList(sk1)|sk1=nil),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f490,f205])).
% 0.13/0.40 fof(f500,plain,(
% 0.13/0.40 sk1=nil),
% 0.13/0.40 inference(resolution,[status(thm)],[f493,f428])).
% 0.13/0.40 fof(f502,plain,(
% 0.13/0.40 cons(sk5,nil)=nil),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f500,f479])).
% 0.13/0.40 fof(f544,plain,(
% 0.13/0.40 ~cons(sk5,nil)=nil),
% 0.13/0.40 inference(resolution,[status(thm)],[f486,f205])).
% 0.13/0.40 fof(f546,plain,(
% 0.13/0.40 ~nil=nil),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f502,f544])).
% 0.13/0.40 fof(f547,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f546])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.059231 seconds
% 0.13/0.42 % CPU time: 0.206334 seconds
% 0.13/0.42 % Total memory used: 109.776 MB
% 0.13/0.42 % Net memory used: 109.587 MB
%------------------------------------------------------------------------------