%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO027-2 : 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 : n008.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 12:25:35 PM UTC 2026
% Result : Unsatisfiable 146.29s 18.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO027-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.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 08:23:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 146.29/18.94 % Refutation found
% 146.29/18.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 146.29/18.94 % SZS output start CNFRefutation for theBenchmark
% 146.29/18.94 fof(f2,axiom,(
% 146.29/18.94 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 146.29/18.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 146.29/18.94 fof(f3,axiom,(
% 146.29/18.94 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 146.29/18.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 146.29/18.94 fof(f4,axiom,(
% 146.29/18.94 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 146.29/18.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 146.29/18.94 fof(f5,axiom,(
% 146.29/18.94 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 146.29/18.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 146.29/18.94 fof(f6,axiom,(
% 146.29/18.94 (![X,Y,X1,Y1,Z,Z1,V,V1]: (( ~ equidistant(X,Y,X1,Y1)| ~ equidistant(Y,Z,Y1,Z1)| ~ equidistant(X,V,X1,V1)| ~ equidistant(Y,V,Y1,V1)| ~ between(X,Y,Z)| ~ between(X1,Y1,Z1)| X = Y| equidistant(Z,V,Z1,V1) ) ))),
% 146.29/18.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 146.29/18.94 fof(f19,hypothesis,(
% 146.29/18.94 between(u,v,w) ),
% 146.29/18.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 146.29/18.94 fof(f20,hypothesis,(
% 146.29/18.94 u != v ),
% 146.29/18.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 146.29/18.94 fof(f21,negated_conjecture,(
% 146.29/18.94 w != extension(u,v,v,w) ),
% 146.29/18.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 146.29/18.94 fof(f23,plain,(
% 146.29/18.94 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 146.29/18.94 inference(miniscoping,[status(thm)],[f2])).
% 146.29/18.94 fof(f24,plain,(
% 146.29/18.94 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 146.29/18.94 inference(cnf_transformation,[status(thm)],[f23])).
% 146.29/18.94 fof(f25,plain,(
% 146.29/18.94 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 146.29/18.94 inference(miniscoping,[status(thm)],[f3])).
% 146.29/18.94 fof(f26,plain,(
% 146.29/18.94 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 146.29/18.94 inference(cnf_transformation,[status(thm)],[f25])).
% 146.29/18.94 fof(f27,plain,(
% 146.29/18.94 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 146.29/18.94 inference(cnf_transformation,[status(thm)],[f4])).
% 146.29/18.94 fof(f28,plain,(
% 146.29/18.94 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 146.29/18.94 inference(cnf_transformation,[status(thm)],[f5])).
% 146.29/18.94 fof(f29,plain,(
% 146.29/18.94 ![Z,Z1,V,V1]: ((![X,Y]: ((![X1,Y1]: (((((~equidistant(X,Y,X1,Y1)|~equidistant(Y,Z,Y1,Z1))|~equidistant(X,V,X1,V1))|~equidistant(Y,V,Y1,V1))|~between(X,Y,Z))|~between(X1,Y1,Z1)))|X=Y))|equidistant(Z,V,Z1,V1))),
% 146.29/18.94 inference(miniscoping,[status(thm)],[f6])).
% 146.29/18.94 fof(f30,plain,(
% 146.29/18.94 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,X2,X3)|~equidistant(X1,X4,X3,X5)|~equidistant(X0,X6,X2,X7)|~equidistant(X1,X6,X3,X7)|~between(X0,X1,X4)|~between(X2,X3,X5)|X0=X1|equidistant(X4,X6,X5,X7))),
% 146.29/18.94 inference(cnf_transformation,[status(thm)],[f29])).
% 146.29/18.94 fof(f44,plain,(
% 146.29/18.94 between(u,v,w)),
% 146.29/18.94 inference(cnf_transformation,[status(thm)],[f19])).
% 146.29/18.94 fof(f45,plain,(
% 146.29/18.94 ~u=v),
% 146.29/18.94 inference(cnf_transformation,[status(thm)],[f20])).
% 146.29/18.94 fof(f46,plain,(
% 146.29/18.94 ~w=extension(u,v,v,w)),
% 146.29/18.94 inference(cnf_transformation,[status(thm)],[f21])).
% 146.29/18.94 fof(f53,plain,(
% 146.29/18.94 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,extension(X1,X0,X2,X3),X4,X5)|equidistant(X4,X5,X2,X3))),
% 146.29/18.94 inference(resolution,[status(thm)],[f24,f28])).
% 146.29/18.94 fof(f58,plain,(
% 146.29/18.94 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 146.29/18.94 inference(resolution,[status(thm)],[f53,f28])).
% 146.29/18.94 fof(f180,plain,(
% 146.29/18.94 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X4,X2,X5)|~equidistant(X1,X4,X3,X5)|~between(X0,X1,extension(X6,X1,X3,X7))|~between(X2,X3,X7)|X0=X1|equidistant(extension(X6,X1,X3,X7),X4,X7,X5))),
% 146.29/18.94 inference(resolution,[status(thm)],[f30,f28])).
% 146.29/18.94 fof(f288,plain,(
% 146.29/18.94 ![X0,X1,X2,X3,X4,X5,X6]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X4,X2,X5)|~equidistant(X1,X4,X3,X5)|~between(X2,X3,X6)|X0=X1|equidistant(extension(X0,X1,X3,X6),X4,X6,X5))),
% 146.29/18.94 inference(resolution,[status(thm)],[f180,f27])).
% 146.29/18.94 fof(f3330,plain,(
% 146.29/18.94 ![X0,X1,X2,X3,X4]: (~equidistant(X0,X1,X0,X2)|~equidistant(X1,X3,X2,X3)|~between(X0,X2,X4)|X0=X1|equidistant(extension(X0,X1,X2,X4),X3,X4,X3))),
% 146.29/18.94 inference(resolution,[status(thm)],[f288,f58])).
% 146.29/18.94 fof(f25966,plain,(
% 146.29/18.94 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X0,X1)|~between(X2,X0,X3)|X2=X0|equidistant(extension(X2,X0,X0,X3),X1,X3,X1))),
% 146.29/18.97 inference(resolution,[status(thm)],[f3330,f58])).
% 146.29/18.97 fof(f25976,plain,(
% 146.29/18.97 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|X0=X1|equidistant(extension(X0,X1,X1,X2),X3,X2,X3))),
% 146.29/18.97 inference(forward_subsumption_resolution,[status(thm)],[f25966,f58])).
% 146.29/18.97 fof(f26304,plain,(
% 146.29/18.97 ![X0]: (u=v|equidistant(extension(u,v,v,w),X0,w,X0))),
% 146.29/18.97 inference(resolution,[status(thm)],[f25976,f44])).
% 146.29/18.97 fof(f26444,plain,(
% 146.29/18.97 ![X0]: (equidistant(extension(u,v,v,w),X0,w,X0))),
% 146.29/18.97 inference(forward_subsumption_resolution,[status(thm)],[f26304,f45])).
% 146.29/18.97 fof(f26522,plain,(
% 146.29/18.97 extension(u,v,v,w)=w),
% 146.29/18.97 inference(resolution,[status(thm)],[f26444,f26])).
% 146.29/18.97 fof(f26526,plain,(
% 146.29/18.97 $false),
% 146.29/18.97 inference(forward_subsumption_resolution,[status(thm)],[f26522,f46])).
% 146.29/18.97 % SZS output end CNFRefutation for theBenchmark.p
% 146.29/18.99 % Elapsed time: 18.616953 seconds
% 146.29/18.99 % CPU time: 146.899836 seconds
% 146.29/18.99 % Total memory used: 306.829 MB
% 146.29/18.99 % Net memory used: 271.640 MB
%------------------------------------------------------------------------------