%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO025-3 : 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 : 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 106.71s 14.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO025-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 08:23:25 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 106.71/14.01 % Refutation found
% 106.71/14.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 106.71/14.01 % SZS output start CNFRefutation for theBenchmark
% 106.71/14.01 fof(f2,axiom,(
% 106.71/14.01 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f3,axiom,(
% 106.71/14.01 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f5,axiom,(
% 106.71/14.01 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f6,axiom,(
% 106.71/14.01 (![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) ) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f21,axiom,(
% 106.71/14.01 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f22,axiom,(
% 106.71/14.01 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(V,U,W,X) ) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f24,axiom,(
% 106.71/14.01 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(V,U,X,W) ) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f25,axiom,(
% 106.71/14.01 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,V,U) ) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f29,axiom,(
% 106.71/14.01 (![V,U,W]: (V = extension(U,V,W,W) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f36,axiom,(
% 106.71/14.01 (![U,V]: (equidistant(U,U,V,V) ))),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f37,hypothesis,(
% 106.71/14.01 equidistant(u,v,u1,v1) ),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f38,hypothesis,(
% 106.71/14.01 equidistant(v,w,v1,w1) ),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f39,hypothesis,(
% 106.71/14.01 between(u,v,w) ),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f40,hypothesis,(
% 106.71/14.01 between(u1,v1,w1) ),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f41,negated_conjecture,(
% 106.71/14.01 ~ equidistant(u,w,u1,w1) ),
% 106.71/14.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 106.71/14.01 fof(f43,plain,(
% 106.71/14.01 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 106.71/14.01 inference(miniscoping,[status(thm)],[f2])).
% 106.71/14.01 fof(f44,plain,(
% 106.71/14.01 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 106.71/14.01 inference(cnf_transformation,[status(thm)],[f43])).
% 106.71/14.01 fof(f45,plain,(
% 106.71/14.01 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 106.71/14.01 inference(miniscoping,[status(thm)],[f3])).
% 106.71/14.01 fof(f46,plain,(
% 106.71/14.01 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 106.71/14.01 inference(cnf_transformation,[status(thm)],[f45])).
% 106.71/14.01 fof(f48,plain,(
% 106.71/14.01 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 106.71/14.01 inference(cnf_transformation,[status(thm)],[f5])).
% 106.71/14.01 fof(f49,plain,(
% 106.71/14.01 ![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))),
% 106.71/14.01 inference(miniscoping,[status(thm)],[f6])).
% 106.71/14.01 fof(f50,plain,(
% 106.71/14.01 ![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))),
% 106.71/14.01 inference(cnf_transformation,[status(thm)],[f49])).
% 106.71/14.01 fof(f66,plain,(
% 106.71/14.01 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 106.71/14.01 inference(cnf_transformation,[status(thm)],[f21])).
% 106.71/14.01 fof(f67,plain,(
% 106.71/14.01 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X1,X0,X2,X3))),
% 106.71/14.01 inference(cnf_transformation,[status(thm)],[f22])).
% 106.71/14.01 fof(f69,plain,(
% 106.71/14.01 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X1,X0,X3,X2))),
% 106.71/14.01 inference(cnf_transformation,[status(thm)],[f24])).
% 106.71/14.01 fof(f70,plain,(
% 106.71/14.01 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X1,X0))),
% 106.71/14.01 inference(cnf_transformation,[status(thm)],[f25])).
% 106.71/14.01 fof(f75,plain,(
% 37.69/14.04 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 37.69/14.04 inference(cnf_transformation,[status(thm)],[f29])).
% 37.69/14.04 fof(f83,plain,(
% 37.69/14.04 ![X0,X1]: (equidistant(X0,X0,X1,X1))),
% 37.69/14.04 inference(cnf_transformation,[status(thm)],[f36])).
% 37.69/14.04 fof(f84,plain,(
% 37.69/14.04 equidistant(u,v,u1,v1)),
% 37.69/14.04 inference(cnf_transformation,[status(thm)],[f37])).
% 37.69/14.04 fof(f85,plain,(
% 37.69/14.04 equidistant(v,w,v1,w1)),
% 37.69/14.04 inference(cnf_transformation,[status(thm)],[f38])).
% 37.69/14.04 fof(f86,plain,(
% 37.69/14.04 between(u,v,w)),
% 37.69/14.04 inference(cnf_transformation,[status(thm)],[f39])).
% 37.69/14.04 fof(f87,plain,(
% 37.69/14.04 between(u1,v1,w1)),
% 37.69/14.04 inference(cnf_transformation,[status(thm)],[f40])).
% 37.69/14.04 fof(f88,plain,(
% 37.69/14.04 ~equidistant(u,w,u1,w1)),
% 37.69/14.04 inference(cnf_transformation,[status(thm)],[f41])).
% 37.69/14.04 fof(f96,plain,(
% 37.69/14.04 ![X0,X1]: (~equidistant(u,v,X0,X1)|equidistant(u1,v1,X0,X1))),
% 37.69/14.04 inference(resolution,[status(thm)],[f84,f44])).
% 37.69/14.04 fof(f99,plain,(
% 37.69/14.04 equidistant(u1,v1,u,v)),
% 37.69/14.04 inference(resolution,[status(thm)],[f66,f84])).
% 37.69/14.04 fof(f107,plain,(
% 37.69/14.04 equidistant(v1,u1,u,v)),
% 37.69/14.04 inference(resolution,[status(thm)],[f67,f99])).
% 37.69/14.04 fof(f115,plain,(
% 37.69/14.04 equidistant(u,v,v1,u1)),
% 37.69/14.04 inference(resolution,[status(thm)],[f107,f66])).
% 37.69/14.04 fof(f126,plain,(
% 37.69/14.04 equidistant(v,u,v1,u1)),
% 37.69/14.04 inference(resolution,[status(thm)],[f115,f67])).
% 37.69/14.04 fof(f215,plain,(
% 37.69/14.04 ![X0,X1,X2,X3]: (~equidistant(v,X0,v1,X1)|~equidistant(u,X2,u1,X3)|~equidistant(v,X2,v1,X3)|~between(u,v,X0)|~between(u1,v1,X1)|u=v|equidistant(X0,X2,X1,X3))),
% 37.69/14.04 inference(resolution,[status(thm)],[f50,f84])).
% 37.69/14.04 fof(f249,plain,(
% 37.69/14.04 ![X0,X1,X2,X3]: (equidistant(X0,X1,extension(X2,X3,X0,X1),X3))),
% 37.69/14.04 inference(resolution,[status(thm)],[f70,f48])).
% 37.69/14.04 fof(f668,plain,(
% 37.69/14.04 ![X0,X1]: (equidistant(u1,v1,extension(X0,X1,u,v),X1))),
% 37.69/14.04 inference(resolution,[status(thm)],[f96,f249])).
% 37.69/14.04 fof(f989,plain,(
% 37.69/14.04 ![X0,X1]: (~equidistant(u,X0,u1,X1)|~equidistant(v,X0,v1,X1)|~between(u,v,w)|~between(u1,v1,w1)|u=v|equidistant(w,X0,w1,X1))),
% 37.69/14.04 inference(resolution,[status(thm)],[f215,f85])).
% 37.69/14.04 fof(f1002,plain,(
% 37.69/14.04 ![X0,X1]: (~equidistant(u,X0,u1,X1)|~equidistant(v,X0,v1,X1)|~between(u1,v1,w1)|u=v|equidistant(w,X0,w1,X1))),
% 37.69/14.04 inference(forward_subsumption_resolution,[status(thm)],[f989,f86])).
% 37.69/14.04 fof(f5551,plain,(
% 37.69/14.04 ![X0,X1]: (equidistant(v1,u1,extension(X0,X1,u,v),X1))),
% 37.69/14.04 inference(resolution,[status(thm)],[f668,f67])).
% 37.69/14.04 fof(f11518,plain,(
% 37.69/14.04 ![X0,X1]: (~equidistant(u,X0,u1,X1)|~equidistant(v,X0,v1,X1)|u=v|equidistant(w,X0,w1,X1))),
% 37.69/14.04 inference(forward_subsumption_resolution,[status(thm)],[f1002,f87])).
% 37.69/14.04 fof(f11522,plain,(
% 37.69/14.04 ~equidistant(u,u,u1,u1)|u=v|equidistant(w,u,w1,u1)),
% 37.69/14.04 inference(resolution,[status(thm)],[f11518,f126])).
% 37.69/14.04 fof(f11566,plain,(
% 37.69/14.04 u=v|equidistant(w,u,w1,u1)),
% 37.69/14.04 inference(forward_subsumption_resolution,[status(thm)],[f11522,f83])).
% 37.69/14.04 fof(f11594,plain,(
% 37.69/14.04 u=v|equidistant(u,w,u1,w1)),
% 37.69/14.04 inference(resolution,[status(thm)],[f11566,f69])).
% 37.69/14.04 fof(f11606,plain,(
% 37.69/14.04 u=v),
% 37.69/14.04 inference(forward_subsumption_resolution,[status(thm)],[f11594,f88])).
% 37.69/14.04 fof(f11620,plain,(
% 37.69/14.04 ![X0,X1]: (equidistant(v1,u1,extension(X0,X1,u,u),X1))),
% 37.69/14.04 inference(backward_demodulation,[status(thm)],[f11606,f5551])).
% 37.69/14.04 fof(f11781,plain,(
% 37.69/14.04 equidistant(u,w,v1,w1)),
% 37.69/14.04 inference(backward_demodulation,[status(thm)],[f11606,f85])).
% 37.69/14.04 fof(f11798,plain,(
% 37.69/14.04 ![X0]: (equidistant(v1,u1,X0,X0))),
% 37.69/14.04 inference(forward_demodulation,[status(thm)],[f75,f11620])).
% 37.69/14.04 fof(f11907,plain,(
% 37.69/14.04 v1=u1),
% 37.69/14.04 inference(resolution,[status(thm)],[f11798,f46])).
% 37.69/14.04 fof(f11953,plain,(
% 37.69/14.04 equidistant(u,w,u1,w1)),
% 37.69/14.04 inference(forward_demodulation,[status(thm)],[f11907,f11781])).
% 37.69/14.04 fof(f11954,plain,(
% 37.69/14.04 $false),
% 37.69/14.04 inference(forward_subsumption_resolution,[status(thm)],[f11953,f88])).
% 37.69/14.04 % SZS output end CNFRefutation for theBenchmark.p
% 37.69/14.05 % Elapsed time: 13.655290 seconds
% 37.69/14.05 % CPU time: 107.552497 seconds
% 37.69/14.05 % Total memory used: 227.066 MB
% 37.69/14.05 % Net memory used: 201.780 MB
%------------------------------------------------------------------------------