%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO056-2 : 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 : n012.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 0.02s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO056-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Sun Sep 20 08:54:37 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.32 % Refutation found
% 0.02/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.32 fof(f3,axiom,(
% 0.02/0.32 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.02/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f5,axiom,(
% 0.02/0.32 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.02/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f19,axiom,(
% 0.02/0.32 (![U,V]: (reflection(U,V) = extension(U,V,U,V) ))),
% 0.02/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f20,hypothesis,(
% 0.02/0.32 u = v ),
% 0.02/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f21,negated_conjecture,(
% 0.02/0.32 v != reflection(u,v) ),
% 0.02/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.32 fof(f25,plain,(
% 0.02/0.32 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.02/0.32 inference(miniscoping,[status(thm)],[f3])).
% 0.02/0.32 fof(f26,plain,(
% 0.02/0.32 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f25])).
% 0.02/0.32 fof(f28,plain,(
% 0.02/0.32 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f5])).
% 0.02/0.32 fof(f44,plain,(
% 0.02/0.32 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X0,X1))),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f19])).
% 0.02/0.32 fof(f45,plain,(
% 0.02/0.32 u=v),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f20])).
% 0.02/0.32 fof(f46,plain,(
% 0.02/0.32 ~v=reflection(u,v)),
% 0.02/0.32 inference(cnf_transformation,[status(thm)],[f21])).
% 0.02/0.32 fof(f47,plain,(
% 0.02/0.32 ~v=reflection(v,v)),
% 0.02/0.32 inference(backward_demodulation,[status(thm)],[f45,f46])).
% 0.02/0.32 fof(f56,plain,(
% 0.02/0.32 ![X0,X1]: (equidistant(X0,reflection(X1,X0),X1,X0))),
% 0.02/0.32 inference(paramodulation,[status(thm)],[f44,f28])).
% 0.02/0.32 fof(f57,plain,(
% 0.02/0.32 ![X0]: (X0=reflection(X0,X0))),
% 0.02/0.32 inference(resolution,[status(thm)],[f56,f26])).
% 0.02/0.32 fof(f59,plain,(
% 0.02/0.32 ~v=v),
% 0.02/0.32 inference(backward_demodulation,[status(thm)],[f57,f47])).
% 0.02/0.32 fof(f62,plain,(
% 0.02/0.32 $false),
% 0.02/0.32 inference(trivial_equality_resolution,[status(thm)],[f59])).
% 0.02/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.33 % Elapsed time: 0.034613 seconds
% 0.07/0.33 % CPU time: 0.085527 seconds
% 0.07/0.33 % Total memory used: 101.789 MB
% 0.07/0.33 % Net memory used: 101.403 MB
%------------------------------------------------------------------------------