%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC135-1 : 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 : n007.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 02:41:41 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC135-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 07:56:20 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f7,axiom,(
% 0.10/0.39 cyclefreeP(nil) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f8,axiom,(
% 0.10/0.39 ssList(nil) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f100,axiom,(
% 0.10/0.39 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f187,negated_conjecture,(
% 0.10/0.39 ssList(sk2) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f190,negated_conjecture,(
% 0.10/0.39 sk2 = sk4 ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f192,negated_conjecture,(
% 0.10/0.39 ~ neq(sk4,nil) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f193,negated_conjecture,(
% 0.10/0.39 ~ cyclefreeP(sk2) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f200,plain,(
% 0.10/0.39 cyclefreeP(nil)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f201,plain,(
% 0.10/0.39 ssList(nil)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.39 fof(f296,plain,(
% 0.10/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f100])).
% 0.10/0.39 fof(f425,plain,(
% 0.10/0.39 ssList(sk2)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f187])).
% 0.10/0.39 fof(f428,plain,(
% 0.10/0.39 sk2=sk4),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f190])).
% 0.10/0.39 fof(f430,plain,(
% 0.10/0.39 ~neq(sk4,nil)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f192])).
% 0.10/0.39 fof(f431,plain,(
% 0.10/0.39 ~cyclefreeP(sk2)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.39 fof(f467,plain,(
% 0.10/0.39 ~neq(sk2,nil)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f428,f430])).
% 0.10/0.39 fof(f468,plain,(
% 0.10/0.39 ~ssList(nil)|~ssList(sk2)|sk2=nil),
% 0.10/0.39 inference(resolution,[status(thm)],[f467,f296])).
% 0.10/0.39 fof(f469,plain,(
% 0.10/0.39 ~ssList(sk2)|sk2=nil),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f468,f201])).
% 0.10/0.39 fof(f484,plain,(
% 0.10/0.39 ~cyclefreeP(nil)),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f487,f431])).
% 0.10/0.39 fof(f487,plain,(
% 0.10/0.39 sk2=nil),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f469,f425])).
% 0.10/0.40 fof(f488,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f484,f200])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.068003 seconds
% 0.15/0.42 % CPU time: 0.170882 seconds
% 0.15/0.42 % Total memory used: 108.415 MB
% 0.15/0.42 % Net memory used: 108.262 MB
%------------------------------------------------------------------------------