%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO059-3 : 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 : n002.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 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO059-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.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 09:07:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.45 % Refutation found
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.45 fof(f2,axiom,(
% 0.10/0.45 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f21,axiom,(
% 0.10/0.45 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f22,axiom,(
% 0.10/0.45 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(V,U,W,X) ) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f23,axiom,(
% 0.10/0.45 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(U,V,X,W) ) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f32,axiom,(
% 0.10/0.45 (![V,U]: (equidistant(V,reflection(U,V),U,V) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f42,negated_conjecture,(
% 0.10/0.45 ~ equidistant(v,u,v,reflection(reflection(u,v),v)) ),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f44,plain,(
% 0.10/0.45 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 0.10/0.45 inference(miniscoping,[status(thm)],[f2])).
% 0.10/0.45 fof(f45,plain,(
% 0.10/0.45 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f44])).
% 0.10/0.45 fof(f67,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.45 fof(f68,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X1,X0,X2,X3))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.45 fof(f69,plain,(
% 0.10/0.45 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X0,X1,X3,X2))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.45 fof(f80,plain,(
% 0.10/0.45 ![X0,X1]: (equidistant(X0,reflection(X1,X0),X1,X0))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.45 fof(f93,plain,(
% 0.10/0.45 ~equidistant(v,u,v,reflection(reflection(u,v),v))),
% 0.10/0.45 inference(cnf_transformation,[status(thm)],[f42])).
% 0.10/0.45 fof(f99,plain,(
% 0.10/0.45 ![X0,X1]: (~equidistant(X0,X1,v,u)|~equidistant(X0,X1,v,reflection(reflection(u,v),v)))),
% 0.10/0.45 inference(resolution,[status(thm)],[f45,f93])).
% 0.10/0.45 fof(f112,plain,(
% 0.10/0.45 ![X0,X1]: (equidistant(X0,X1,X1,reflection(X0,X1)))),
% 0.10/0.45 inference(resolution,[status(thm)],[f67,f80])).
% 0.10/0.45 fof(f121,plain,(
% 0.10/0.45 ![X0,X1]: (equidistant(X0,X1,X0,reflection(X1,X0)))),
% 0.10/0.45 inference(resolution,[status(thm)],[f68,f112])).
% 0.10/0.45 fof(f126,plain,(
% 0.10/0.45 ![X0,X1]: (equidistant(X0,reflection(X1,X0),X0,X1))),
% 0.10/0.45 inference(resolution,[status(thm)],[f69,f80])).
% 0.10/0.45 fof(f280,plain,(
% 0.10/0.45 ~equidistant(v,reflection(u,v),v,u)),
% 0.10/0.45 inference(resolution,[status(thm)],[f99,f121])).
% 0.10/0.45 fof(f286,plain,(
% 0.10/0.45 $false),
% 0.10/0.45 inference(forward_subsumption_resolution,[status(thm)],[f280,f126])).
% 0.10/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.086647 seconds
% 0.10/0.46 % CPU time: 0.444524 seconds
% 0.10/0.46 % Total memory used: 107.000 MB
% 0.10/0.46 % Net memory used: 106.085 MB
%------------------------------------------------------------------------------