%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO055-2 : 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 : n026.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 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO055-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 08:54:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f19,axiom,(
% 0.09/0.40 (![U,V]: (reflection(U,V) = extension(U,V,U,V) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f20,negated_conjecture,(
% 0.09/0.40 ~ equidistant(v,reflection(u,v),u,v) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f22,plain,(
% 0.09/0.40 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.40 fof(f27,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ~equidistant(v,reflection(u,v),u,v)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X1,X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f23,f21])).
% 0.09/0.40 fof(f47,plain,(
% 0.09/0.40 ![X0,X1]: (~equidistant(X0,X1,v,reflection(u,v))|~equidistant(X0,X1,u,v))),
% 0.09/0.40 inference(resolution,[status(thm)],[f23,f44])).
% 0.09/0.40 fof(f64,plain,(
% 0.09/0.40 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 0.09/0.40 inference(resolution,[status(thm)],[f46,f21])).
% 0.09/0.40 fof(f92,plain,(
% 0.09/0.40 ![X0,X1]: (~equidistant(X0,extension(X1,X0,u,v),v,reflection(u,v)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f47,f27])).
% 0.09/0.40 fof(f97,plain,(
% 0.09/0.40 ~equidistant(v,reflection(u,v),v,reflection(u,v))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f43,f92])).
% 0.09/0.40 fof(f98,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f97,f64])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.052038 seconds
% 0.09/0.42 % CPU time: 0.162637 seconds
% 0.09/0.42 % Total memory used: 101.972 MB
% 0.09/0.42 % Net memory used: 101.573 MB
%------------------------------------------------------------------------------