%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET025-9 : 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 : n004.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 02:11:15 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET025-9 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.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 04:44:04 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f8,axiom,(
% 0.15/0.39 (![X,Y]: (little_set(non_ordered_pair(X,Y)) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f10,axiom,(
% 0.15/0.39 (![X,Y]: (ordered_pair(X,Y) = non_ordered_pair(singleton_set(X),non_ordered_pair(X,Y)) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f13,axiom,(
% 0.15/0.39 (![X]: (( ~ ordered_pair_predicate(X)| X = ordered_pair(f2(X),f3(X)) ) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f142,hypothesis,(
% 0.15/0.39 ordered_pair_predicate(a) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f143,negated_conjecture,(
% 0.15/0.39 ~ little_set(a) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f155,plain,(
% 0.15/0.39 ![X0,X1]: (little_set(non_ordered_pair(X0,X1)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.39 fof(f157,plain,(
% 0.15/0.39 ![X0,X1]: (ordered_pair(X0,X1)=non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.39 fof(f160,plain,(
% 0.15/0.39 ![X0]: (~ordered_pair_predicate(X0)|X0=ordered_pair(f2(X0),f3(X0)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.39 fof(f321,plain,(
% 0.15/0.39 ordered_pair_predicate(a)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f142])).
% 0.15/0.39 fof(f322,plain,(
% 0.15/0.39 ~little_set(a)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f143])).
% 0.15/0.39 fof(f546,plain,(
% 0.15/0.39 ![X0,X1]: (little_set(ordered_pair(X0,X1)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f157,f155])).
% 0.15/0.39 fof(f549,plain,(
% 0.15/0.39 a=ordered_pair(f2(a),f3(a))),
% 0.15/0.39 inference(resolution,[status(thm)],[f160,f321])).
% 0.15/0.39 fof(f719,plain,(
% 0.15/0.39 little_set(a)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f549,f546])).
% 0.15/0.39 fof(f720,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f719,f322])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.068295 seconds
% 0.15/0.43 % CPU time: 0.203825 seconds
% 0.15/0.43 % Total memory used: 104.047 MB
% 0.15/0.43 % Net memory used: 103.924 MB
%------------------------------------------------------------------------------