%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO056-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:25:40 PM UTC 2026
% Result : Unsatisfiable 0.10s 5.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO056-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.76 % Computer : n008.cluster.edu
% 0.10/5.76 % Model : x86_64 x86_64
% 0.10/5.76 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.76 % Memory : 8046.5625MB
% 0.10/5.76 % OS : Linux 6.8.0-71-generic
% 0.10/5.76 % CPULimit : 300
% 0.10/5.76 % WCLimit : 300
% 0.10/5.76 % DateTime : Sun Sep 20 08:53:50 UTC 2026
% 0.10/5.77 % CPUTime :
% 0.10/5.77 % Drodi V4.1.1
% 0.10/5.79 % Refutation found
% 0.10/5.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.79 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.79 fof(f19,axiom,(
% 0.10/5.79 (![U,V]: (reflection(U,V) = extension(U,V,U,V) ))),
% 0.10/5.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.79 fof(f29,axiom,(
% 0.10/5.79 (![V,U,W]: (V = extension(U,V,W,W) ))),
% 0.10/5.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.79 fof(f33,hypothesis,(
% 0.10/5.79 u = v ),
% 0.10/5.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.79 fof(f34,negated_conjecture,(
% 0.10/5.79 v != reflection(u,v) ),
% 0.10/5.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.79 fof(f57,plain,(
% 0.10/5.79 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X0,X1))),
% 0.10/5.79 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/5.79 fof(f68,plain,(
% 0.10/5.79 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.10/5.79 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/5.79 fof(f73,plain,(
% 0.10/5.79 u=v),
% 0.10/5.79 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/5.79 fof(f74,plain,(
% 0.10/5.79 ~v=reflection(u,v)),
% 0.10/5.79 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/5.79 fof(f76,plain,(
% 0.10/5.79 ~v=reflection(v,v)),
% 0.10/5.79 inference(backward_demodulation,[status(thm)],[f73,f74])).
% 0.10/5.79 fof(f77,plain,(
% 0.10/5.79 ![X0]: (X0=reflection(X0,X0))),
% 0.10/5.79 inference(paramodulation,[status(thm)],[f57,f68])).
% 0.10/5.79 fof(f79,plain,(
% 0.10/5.79 ~v=v),
% 0.10/5.79 inference(backward_demodulation,[status(thm)],[f77,f76])).
% 0.10/5.79 fof(f82,plain,(
% 0.10/5.79 $false),
% 0.10/5.79 inference(trivial_equality_resolution,[status(thm)],[f79])).
% 0.10/5.79 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.82 % Elapsed time: 0.047535 seconds
% 0.15/5.82 % CPU time: 0.143142 seconds
% 0.15/5.82 % Total memory used: 102.017 MB
% 0.15/5.82 % Net memory used: 101.840 MB
%------------------------------------------------------------------------------