%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO055-3 : 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 : n010.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 12:25:39 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO055-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 08:51:10 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f5,axiom,(
% 0.11/0.38 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f19,axiom,(
% 0.11/0.38 (![U,V]: (reflection(U,V) = extension(U,V,U,V) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f31,negated_conjecture,(
% 0.11/0.38 ~ equidistant(v,reflection(u,v),u,v) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f38,plain,(
% 0.11/0.38 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f54,plain,(
% 0.11/0.38 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.38 fof(f68,plain,(
% 0.11/0.38 ~equidistant(v,reflection(u,v),u,v)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.11/0.38 fof(f94,plain,(
% 0.11/0.38 ![X0,X1]: (equidistant(X0,reflection(X1,X0),X1,X0))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f54,f38])).
% 0.11/0.38 fof(f96,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f68,f94])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.41 % Elapsed time: 0.044442 seconds
% 0.11/0.41 % CPU time: 0.113139 seconds
% 0.11/0.41 % Total memory used: 25.910 MB
% 0.11/0.41 % Net memory used: 25.814 MB
%------------------------------------------------------------------------------