%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO057-3 : 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 : n015.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 12:25:40 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO057-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 20 09:03:21 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.41 % Drodi V4.1.1
% 0.10/0.43 % Refutation found
% 0.10/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.43 fof(f3,axiom,(
% 0.10/0.43 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f32,axiom,(
% 0.10/0.43 (![V,U]: (equidistant(V,reflection(U,V),U,V) ))),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f33,negated_conjecture,(
% 0.10/0.43 u != reflection(u,u) ),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f37,plain,(
% 0.10/0.43 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.10/0.43 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.43 fof(f38,plain,(
% 0.10/0.43 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f37])).
% 0.10/0.43 fof(f71,plain,(
% 0.10/0.43 ![X0,X1]: (equidistant(X0,reflection(X1,X0),X1,X0))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.43 fof(f72,plain,(
% 0.10/0.43 ~u=reflection(u,u)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.43 fof(f74,plain,(
% 0.10/0.43 ![X0]: (X0=reflection(X0,X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f38,f71])).
% 0.10/0.43 fof(f77,plain,(
% 0.10/0.43 ~u=u),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f74,f72])).
% 0.10/0.43 fof(f80,plain,(
% 0.10/0.43 $false),
% 0.10/0.43 inference(trivial_equality_resolution,[status(thm)],[f77])).
% 0.10/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.052845 seconds
% 0.10/0.45 % CPU time: 0.148710 seconds
% 0.10/0.45 % Total memory used: 102.019 MB
% 0.10/0.45 % Net memory used: 101.825 MB
%------------------------------------------------------------------------------