%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM009-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 01:42:08 PM UTC 2026
% Result : Unsatisfiable 1.36s 0.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM009-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 02:03:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 1.36/0.70 % Refutation found
% 1.36/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.36/0.70 % SZS output start CNFRefutation for theBenchmark
% 1.36/0.70 fof(f1,axiom,(
% 1.36/0.70 (![X,Y]: (( ~ member(X,Y)| little_set(X) ) ))),
% 1.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.36/0.70 fof(f61,axiom,(
% 1.36/0.70 member(empty_set,infinity) ),
% 1.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.36/0.70 fof(f169,axiom,(
% 1.36/0.70 (![Z]: (( member(Z,natural_numbers)| ~ little_set(Z)| member(empty_set,f44(Z)) ) ))),
% 1.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.36/0.70 fof(f171,axiom,(
% 1.36/0.70 (![Z]: (( member(Z,natural_numbers)| ~ member(Z,f44(Z)) ) ))),
% 1.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.36/0.70 fof(f220,negated_conjecture,(
% 1.36/0.70 ~ member(empty_set,natural_numbers) ),
% 1.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.36/0.70 fof(f221,plain,(
% 1.36/0.70 ![X]: ((![Y]: ~member(X,Y))|little_set(X))),
% 1.36/0.70 inference(miniscoping,[status(thm)],[f1])).
% 1.36/0.70 fof(f222,plain,(
% 1.36/0.70 ![X0,X1]: (~member(X0,X1)|little_set(X0))),
% 1.36/0.70 inference(cnf_transformation,[status(thm)],[f221])).
% 1.36/0.70 fof(f298,plain,(
% 1.36/0.70 member(empty_set,infinity)),
% 1.36/0.70 inference(cnf_transformation,[status(thm)],[f61])).
% 1.36/0.70 fof(f434,plain,(
% 1.36/0.70 ![X0]: (member(X0,natural_numbers)|~little_set(X0)|member(empty_set,f44(X0)))),
% 1.36/0.70 inference(cnf_transformation,[status(thm)],[f169])).
% 1.36/0.70 fof(f436,plain,(
% 1.36/0.70 ![X0]: (member(X0,natural_numbers)|~member(X0,f44(X0)))),
% 1.36/0.70 inference(cnf_transformation,[status(thm)],[f171])).
% 1.36/0.70 fof(f487,plain,(
% 1.36/0.70 ~member(empty_set,natural_numbers)),
% 1.36/0.70 inference(cnf_transformation,[status(thm)],[f220])).
% 1.36/0.70 fof(f517,plain,(
% 1.36/0.70 little_set(empty_set)),
% 1.36/0.70 inference(resolution,[status(thm)],[f298,f222])).
% 1.36/0.70 fof(f3245,plain,(
% 1.36/0.70 member(empty_set,natural_numbers)|member(empty_set,natural_numbers)|~little_set(empty_set)),
% 1.36/0.70 inference(resolution,[status(thm)],[f436,f434])).
% 1.36/0.70 fof(f3247,plain,(
% 1.36/0.70 member(empty_set,natural_numbers)|~little_set(empty_set)),
% 1.36/0.70 inference(duplicate_literals_removal,[status(thm)],[f3245])).
% 1.36/0.70 fof(f3248,plain,(
% 1.36/0.70 ~little_set(empty_set)),
% 1.36/0.70 inference(forward_subsumption_resolution,[status(thm)],[f3247,f487])).
% 1.36/0.70 fof(f3249,plain,(
% 1.36/0.70 $false),
% 1.36/0.70 inference(forward_subsumption_resolution,[status(thm)],[f3248,f517])).
% 1.36/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 1.36/0.71 % Elapsed time: 0.327251 seconds
% 1.36/0.71 % CPU time: 2.234215 seconds
% 1.36/0.71 % Total memory used: 154.484 MB
% 1.36/0.71 % Net memory used: 150.966 MB
%------------------------------------------------------------------------------