%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU115+1 : TPTP v9.3.1. Released v3.2.0.
% 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 02:21:42 PM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU115+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n008.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 05:51:54 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.48 % Drodi V4.1.1
% 0.18/0.50 % Refutation found
% 0.18/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.50 fof(f10,axiom,(
% 0.18/0.50 (! [A] :( empty(A)=> finite(A) ) )),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f29,axiom,(
% 0.18/0.50 empty(empty_set) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f33,conjecture,(
% 0.18/0.50 finite_subsets(empty_set) = singleton(empty_set) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f34,negated_conjecture,(
% 0.18/0.50 ~(finite_subsets(empty_set) = singleton(empty_set) )),
% 0.18/0.50 inference(negated_conjecture,[status(cth)],[f33])).
% 0.18/0.50 fof(f35,axiom,(
% 0.18/0.50 (! [A] :( finite(A)=> finite_subsets(A) = powerset(A) ) )),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f36,axiom,(
% 0.18/0.50 powerset(empty_set) = singleton(empty_set) ),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f59,plain,(
% 0.18/0.50 ![A]: (~empty(A)|finite(A))),
% 0.18/0.50 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.18/0.50 fof(f60,plain,(
% 0.18/0.50 ![X0]: (~empty(X0)|finite(X0))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f59])).
% 0.18/0.50 fof(f128,plain,(
% 0.18/0.50 empty(empty_set)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f29])).
% 0.18/0.50 fof(f135,plain,(
% 0.18/0.50 ~finite_subsets(empty_set)=singleton(empty_set)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.50 fof(f136,plain,(
% 0.18/0.50 ![A]: (~finite(A)|finite_subsets(A)=powerset(A))),
% 0.18/0.50 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.18/0.50 fof(f137,plain,(
% 0.18/0.50 ![X0]: (~finite(X0)|finite_subsets(X0)=powerset(X0))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f136])).
% 0.18/0.50 fof(f138,plain,(
% 0.18/0.50 powerset(empty_set)=singleton(empty_set)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f36])).
% 0.18/0.50 fof(f145,plain,(
% 0.18/0.50 ~finite_subsets(empty_set)=powerset(empty_set)),
% 0.18/0.50 inference(backward_demodulation,[status(thm)],[f138,f135])).
% 0.18/0.50 fof(f168,plain,(
% 0.18/0.50 ![X0]: (~empty(X0)|finite_subsets(X0)=powerset(X0))),
% 0.18/0.50 inference(resolution,[status(thm)],[f60,f137])).
% 0.18/0.50 fof(f173,plain,(
% 0.18/0.50 finite_subsets(empty_set)=powerset(empty_set)),
% 0.18/0.50 inference(resolution,[status(thm)],[f168,f128])).
% 0.18/0.50 fof(f174,plain,(
% 0.18/0.50 $false),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f173,f145])).
% 0.18/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.53 % Elapsed time: 0.060477 seconds
% 0.24/0.53 % CPU time: 0.146401 seconds
% 0.24/0.53 % Total memory used: 29.068 MB
% 0.24/0.53 % Net memory used: 29.057 MB
%------------------------------------------------------------------------------