%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO058-3 : 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 : n016.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 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO058-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 09:04:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f21,axiom,(
% 0.10/0.41 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f32,axiom,(
% 0.10/0.41 (![V,U]: (equidistant(V,reflection(U,V),U,V) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f35,hypothesis,(
% 0.10/0.41 v = reflection(u,v) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f36,negated_conjecture,(
% 0.10/0.41 u != v ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f40,plain,(
% 0.10/0.41 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.41 fof(f41,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.41 fof(f61,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.41 fof(f74,plain,(
% 0.10/0.41 ![X0,X1]: (equidistant(X0,reflection(X1,X0),X1,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.41 fof(f77,plain,(
% 0.10/0.41 v=reflection(u,v)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.10/0.41 fof(f78,plain,(
% 0.10/0.41 ~u=v),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.10/0.41 fof(f100,plain,(
% 0.10/0.41 equidistant(v,v,u,v)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f77,f74])).
% 0.10/0.41 fof(f107,plain,(
% 0.10/0.41 equidistant(u,v,v,v)),
% 0.10/0.41 inference(resolution,[status(thm)],[f61,f100])).
% 0.10/0.41 fof(f119,plain,(
% 0.10/0.41 u=v),
% 0.10/0.41 inference(resolution,[status(thm)],[f107,f41])).
% 0.10/0.41 fof(f121,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f119,f78])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.052867 seconds
% 0.10/0.44 % CPU time: 0.152618 seconds
% 0.10/0.44 % Total memory used: 95.814 MB
% 0.10/0.44 % Net memory used: 95.672 MB
%------------------------------------------------------------------------------