%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET022-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:11:14 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET022-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:43:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.45 % Refutation found
% 0.13/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.45 fof(f11,axiom,(
% 0.13/0.45 (![X]: (( ~ ordered_pair_predicate(X)| little_set(f2(X)) ) ))),
% 0.13/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f12,axiom,(
% 0.13/0.45 (![X]: (( ~ ordered_pair_predicate(X)| little_set(f3(X)) ) ))),
% 0.13/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f13,axiom,(
% 0.13/0.45 (![X]: (( ~ ordered_pair_predicate(X)| X = ordered_pair(f2(X),f3(X)) ) ))),
% 0.13/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f146,axiom,(
% 0.13/0.45 (![X,Y]: (( ~ little_set(X)| ~ little_set(Y)| first(ordered_pair(X,Y)) = X ) ))),
% 0.13/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f148,hypothesis,(
% 0.13/0.45 ordered_pair_predicate(a) ),
% 0.13/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f149,negated_conjecture,(
% 0.13/0.45 ~ little_set(first(a)) ),
% 0.13/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f164,plain,(
% 0.13/0.45 ![X0]: (~ordered_pair_predicate(X0)|little_set(f2(X0)))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.45 fof(f165,plain,(
% 0.13/0.45 ![X0]: (~ordered_pair_predicate(X0)|little_set(f3(X0)))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.45 fof(f166,plain,(
% 0.13/0.45 ![X0]: (~ordered_pair_predicate(X0)|X0=ordered_pair(f2(X0),f3(X0)))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.45 fof(f334,plain,(
% 0.13/0.45 ![X0,X1]: (~little_set(X0)|~little_set(X1)|first(ordered_pair(X0,X1))=X0)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f146])).
% 0.13/0.45 fof(f336,plain,(
% 0.13/0.45 ordered_pair_predicate(a)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f148])).
% 0.13/0.45 fof(f337,plain,(
% 0.13/0.45 ~little_set(first(a))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f149])).
% 0.13/0.45 fof(f405,plain,(
% 0.13/0.45 little_set(f2(a))),
% 0.13/0.45 inference(resolution,[status(thm)],[f164,f336])).
% 0.13/0.45 fof(f458,plain,(
% 0.13/0.45 little_set(f3(a))),
% 0.13/0.45 inference(resolution,[status(thm)],[f165,f336])).
% 0.13/0.45 fof(f459,plain,(
% 0.13/0.45 a=ordered_pair(f2(a),f3(a))),
% 0.13/0.45 inference(resolution,[status(thm)],[f166,f336])).
% 0.13/0.45 fof(f486,plain,(
% 0.13/0.45 ![X0]: (~little_set(X0)|first(ordered_pair(X0,f3(a)))=X0)),
% 0.13/0.45 inference(resolution,[status(thm)],[f458,f334])).
% 0.13/0.45 fof(f705,plain,(
% 0.13/0.45 first(ordered_pair(f2(a),f3(a)))=f2(a)),
% 0.13/0.45 inference(resolution,[status(thm)],[f486,f405])).
% 0.13/0.45 fof(f708,plain,(
% 0.13/0.45 first(a)=f2(a)),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f459,f705])).
% 0.13/0.45 fof(f852,plain,(
% 0.13/0.45 little_set(first(a))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f708,f405])).
% 0.13/0.45 fof(f858,plain,(
% 0.13/0.45 $false),
% 0.13/0.45 inference(forward_subsumption_resolution,[status(thm)],[f852,f337])).
% 0.13/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.47 % Elapsed time: 0.107524 seconds
% 0.13/0.47 % CPU time: 0.487811 seconds
% 0.13/0.47 % Total memory used: 96.804 MB
% 0.13/0.47 % Net memory used: 95.679 MB
%------------------------------------------------------------------------------