%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO037-2 : 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 : n006.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 12:25:36 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n006.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 20 08:32:58 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.44 % Refutation found
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.44 fof(f1,axiom,(
% 0.12/0.44 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f2,axiom,(
% 0.12/0.44 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f3,axiom,(
% 0.12/0.44 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f4,axiom,(
% 0.12/0.44 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f5,axiom,(
% 0.12/0.44 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f12,axiom,(
% 0.12/0.44 ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f19,negated_conjecture,(
% 0.12/0.44 ( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ) ),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f20,plain,(
% 0.12/0.44 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.44 fof(f21,plain,(
% 0.12/0.44 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f2])).
% 0.12/0.44 fof(f22,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.44 fof(f23,plain,(
% 0.12/0.44 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.44 fof(f24,plain,(
% 0.12/0.44 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.44 fof(f25,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.44 fof(f26,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.44 fof(f34,plain,(
% 0.12/0.44 ~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.44 fof(f42,plain,(
% 0.12/0.44 v=extension(u,v,lower_dimension_point_1,lower_dimension_point_2)|~equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))|~between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.44 fof(f44,plain,(
% 0.12/0.44 v=extension(u,v,lower_dimension_point_1,lower_dimension_point_2)|~equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))),
% 0.12/0.44 inference(backward_subsumption_resolution,[status(thm)],[f42,f25])).
% 0.12/0.44 fof(f46,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X1,X0))),
% 0.12/0.44 inference(resolution,[status(thm)],[f22,f20])).
% 0.12/0.44 fof(f47,plain,(
% 0.12/0.44 ![X0,X1]: (~equidistant(X0,X1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))|~equidistant(X0,X1,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))|v=extension(u,v,lower_dimension_point_1,lower_dimension_point_2))),
% 0.12/0.44 inference(resolution,[status(thm)],[f22,f44])).
% 0.12/0.44 fof(f49,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X4)|X2=X3)),
% 0.12/0.44 inference(resolution,[status(thm)],[f22,f24])).
% 0.12/0.44 fof(f50,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,extension(X1,X0,X2,X3),X4,X5)|equidistant(X4,X5,X2,X3))),
% 0.12/0.44 inference(resolution,[status(thm)],[f26,f22])).
% 0.12/0.44 fof(f51,plain,(
% 0.12/0.44 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.12/0.44 inference(resolution,[status(thm)],[f26,f24])).
% 0.12/0.44 fof(f53,plain,(
% 0.12/0.44 ![X0,X1]: (between(X0,X1,X1))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f51,f25])).
% 0.12/0.44 fof(f57,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (equidistant(X0,X1,extension(X2,X3,X0,X1),X3))),
% 0.12/0.44 inference(resolution,[status(thm)],[f46,f26])).
% 0.12/0.44 fof(f60,plain,(
% 0.12/0.44 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 0.12/0.44 inference(resolution,[status(thm)],[f46,f20])).
% 0.12/0.44 fof(f62,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 0.12/0.44 inference(resolution,[status(thm)],[f60,f22])).
% 0.12/0.44 fof(f64,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (equidistant(extension(X0,X1,X2,X3),X1,X3,X2))),
% 0.12/0.44 inference(resolution,[status(thm)],[f57,f46])).
% 0.12/0.44 fof(f82,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (equidistant(X0,X1,extension(X2,X3,X1,X0),X3))),
% 0.12/0.44 inference(resolution,[status(thm)],[f62,f64])).
% 0.12/0.44 fof(f83,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (equidistant(X0,X1,X2,extension(X3,X2,X0,X1)))),
% 0.12/0.44 inference(resolution,[status(thm)],[f62,f26])).
% 0.12/0.44 fof(f84,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (equidistant(extension(X0,X1,X2,X3),X1,X2,X3))),
% 0.12/0.44 inference(resolution,[status(thm)],[f62,f57])).
% 0.12/0.44 fof(f140,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4]: (~equidistant(extension(X0,X1,X2,X2),X1,X3,X4)|X3=X4)),
% 0.12/0.44 inference(resolution,[status(thm)],[f49,f84])).
% 0.12/0.44 fof(f148,plain,(
% 0.12/0.44 ![X0,X1,X2]: (~equidistant(X0,X0,X1,X2)|X1=X2)),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f51,f140])).
% 0.12/0.44 fof(f162,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4,X5]: (equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X4,X5))),
% 0.12/0.44 inference(resolution,[status(thm)],[f50,f82])).
% 0.12/0.44 fof(f191,plain,(
% 0.12/0.44 ~equidistant(lower_dimension_point_1,lower_dimension_point_2,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))|v=extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),
% 0.12/0.44 inference(resolution,[status(thm)],[f47,f83])).
% 0.12/0.44 fof(f196,plain,(
% 0.12/0.44 v=extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),
% 0.12/0.44 inference(forward_subsumption_resolution,[status(thm)],[f191,f83])).
% 0.12/0.44 fof(f200,plain,(
% 0.12/0.44 ![X0,X1]: (equidistant(extension(X0,X1,v,v),X1,lower_dimension_point_1,lower_dimension_point_2))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f196,f162])).
% 0.12/0.44 fof(f211,plain,(
% 0.12/0.44 ![X0]: (equidistant(X0,X0,lower_dimension_point_1,lower_dimension_point_2))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f51,f200])).
% 0.12/0.44 fof(f212,plain,(
% 0.12/0.44 lower_dimension_point_1=lower_dimension_point_2),
% 0.12/0.44 inference(resolution,[status(thm)],[f211,f148])).
% 0.12/0.44 fof(f223,plain,(
% 0.12/0.44 ~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f212,f34])).
% 0.12/0.44 fof(f226,plain,(
% 0.12/0.44 $false),
% 0.12/0.44 inference(forward_subsumption_resolution,[status(thm)],[f223,f53])).
% 0.12/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.46 % Elapsed time: 0.080664 seconds
% 0.12/0.46 % CPU time: 0.350372 seconds
% 0.12/0.46 % Total memory used: 83.017 MB
% 0.12/0.46 % Net memory used: 82.319 MB
%------------------------------------------------------------------------------