%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO059-2 : 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 : n011.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 0.09s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO059-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 09:03:09 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.44 % Refutation found
% 0.09/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.44 fof(f1,axiom,(
% 0.09/0.44 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f2,axiom,(
% 0.09/0.44 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f5,axiom,(
% 0.09/0.44 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f19,axiom,(
% 0.09/0.44 (![U,V]: (reflection(U,V) = extension(U,V,U,V) ))),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f20,negated_conjecture,(
% 0.09/0.44 ~ equidistant(v,u,v,reflection(reflection(u,v),v)) ),
% 0.09/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f21,plain,(
% 0.09/0.44 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.44 fof(f22,plain,(
% 0.09/0.44 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 0.09/0.44 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.44 fof(f23,plain,(
% 0.09/0.44 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.44 fof(f27,plain,(
% 0.09/0.44 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.44 fof(f43,plain,(
% 0.09/0.44 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X0,X1))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.44 fof(f44,plain,(
% 0.09/0.44 ~equidistant(v,u,v,reflection(reflection(u,v),v))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.44 fof(f46,plain,(
% 0.09/0.44 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X1,X0,X2,X3))),
% 0.09/0.44 inference(resolution,[status(thm)],[f23,f21])).
% 0.09/0.44 fof(f50,plain,(
% 0.09/0.44 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,extension(X1,X0,X2,X3),X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.09/0.44 inference(resolution,[status(thm)],[f27,f23])).
% 0.09/0.44 fof(f63,plain,(
% 0.09/0.44 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 0.09/0.44 inference(resolution,[status(thm)],[f46,f21])).
% 0.09/0.44 fof(f113,plain,(
% 0.09/0.44 ![X0,X1,X2,X3]: (equidistant(X0,X1,X2,extension(X3,X2,X0,X1)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f50,f63])).
% 0.09/0.44 fof(f139,plain,(
% 0.09/0.44 ![X0,X1]: (equidistant(X0,X1,X1,reflection(X0,X1)))),
% 0.09/0.44 inference(paramodulation,[status(thm)],[f43,f113])).
% 0.09/0.44 fof(f143,plain,(
% 0.09/0.44 ![X0,X1]: (equidistant(X0,X1,X0,reflection(X1,X0)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f139,f46])).
% 0.09/0.44 fof(f168,plain,(
% 0.09/0.44 ![X0,X1,X2,X3]: (equidistant(X0,X1,X2,reflection(extension(X3,X2,X0,X1),X2)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f143,f50])).
% 0.09/0.44 fof(f327,plain,(
% 0.09/0.44 ![X0,X1]: (equidistant(X0,X1,X1,reflection(reflection(X0,X1),X1)))),
% 0.09/0.44 inference(paramodulation,[status(thm)],[f43,f168])).
% 0.09/0.44 fof(f348,plain,(
% 0.09/0.44 ![X0,X1]: (equidistant(X0,X1,X0,reflection(reflection(X1,X0),X0)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f327,f46])).
% 0.09/0.44 fof(f376,plain,(
% 0.09/0.44 $false),
% 0.09/0.44 inference(backward_subsumption_resolution,[status(thm)],[f44,f348])).
% 0.09/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.082449 seconds
% 0.09/0.46 % CPU time: 0.398382 seconds
% 0.09/0.46 % Total memory used: 104.833 MB
% 0.09/0.46 % Net memory used: 104.040 MB
%------------------------------------------------------------------------------