%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET023-3 : 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 : n008.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 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET023-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:44:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f11,axiom,(
% 0.14/0.44 (![X]: (( ~ ordered_pair_predicate(X)| little_set(f2(X)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f12,axiom,(
% 0.14/0.44 (![X]: (( ~ ordered_pair_predicate(X)| little_set(f3(X)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f13,axiom,(
% 0.14/0.44 (![X]: (( ~ ordered_pair_predicate(X)| X = ordered_pair(f2(X),f3(X)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f147,axiom,(
% 0.14/0.44 (![X,Y]: (( ~ little_set(X)| ~ little_set(Y)| second(ordered_pair(X,Y)) = Y ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f149,hypothesis,(
% 0.14/0.44 ordered_pair_predicate(a) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f150,negated_conjecture,(
% 0.14/0.44 ~ little_set(second(a)) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f165,plain,(
% 0.14/0.44 ![X0]: (~ordered_pair_predicate(X0)|little_set(f2(X0)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.44 fof(f166,plain,(
% 0.14/0.44 ![X0]: (~ordered_pair_predicate(X0)|little_set(f3(X0)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.44 fof(f167,plain,(
% 0.14/0.44 ![X0]: (~ordered_pair_predicate(X0)|X0=ordered_pair(f2(X0),f3(X0)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.44 fof(f336,plain,(
% 0.14/0.44 ![X0,X1]: (~little_set(X0)|~little_set(X1)|second(ordered_pair(X0,X1))=X1)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f147])).
% 0.14/0.44 fof(f338,plain,(
% 0.14/0.44 ordered_pair_predicate(a)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f149])).
% 0.14/0.44 fof(f339,plain,(
% 0.14/0.44 ~little_set(second(a))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f150])).
% 0.14/0.44 fof(f432,plain,(
% 0.14/0.44 little_set(f2(a))),
% 0.14/0.44 inference(resolution,[status(thm)],[f165,f338])).
% 0.14/0.44 fof(f433,plain,(
% 0.14/0.44 little_set(f3(a))),
% 0.14/0.44 inference(resolution,[status(thm)],[f166,f338])).
% 0.14/0.44 fof(f434,plain,(
% 0.14/0.44 a=ordered_pair(f2(a),f3(a))),
% 0.14/0.44 inference(resolution,[status(thm)],[f167,f338])).
% 0.14/0.44 fof(f454,plain,(
% 0.14/0.44 ![X0]: (~little_set(X0)|second(ordered_pair(X0,f3(a)))=f3(a))),
% 0.14/0.44 inference(resolution,[status(thm)],[f433,f336])).
% 0.14/0.44 fof(f1114,plain,(
% 0.14/0.44 second(ordered_pair(f2(a),f3(a)))=f3(a)),
% 0.14/0.44 inference(resolution,[status(thm)],[f454,f432])).
% 0.14/0.44 fof(f1119,plain,(
% 0.14/0.44 second(a)=f3(a)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f434,f1114])).
% 0.14/0.44 fof(f1194,plain,(
% 0.14/0.44 ~little_set(f3(a))),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f1119,f339])).
% 0.14/0.44 fof(f1197,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1194,f433])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.48 % Elapsed time: 0.102452 seconds
% 0.18/0.48 % CPU time: 0.490155 seconds
% 0.18/0.48 % Total memory used: 112.843 MB
% 0.18/0.48 % Net memory used: 112.054 MB
%------------------------------------------------------------------------------