%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO030-3 : 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 : n011.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 111.74s 30.23s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO030-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.03/15.80 % CPULimit : 300
% 0.03/15.80 % WCLimit : 300
% 0.03/15.80 % DateTime : Sun Sep 20 08:24:12 UTC 2026
% 0.03/15.80 % CPUTime :
% 0.03/15.81 % Drodi V4.1.1
% 111.74/30.23 % Refutation found
% 111.74/30.23 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 111.74/30.23 % SZS output start CNFRefutation for theBenchmark
% 111.74/30.23 fof(f2,axiom,(
% 111.74/30.23 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 111.74/30.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 111.74/30.23 fof(f3,axiom,(
% 111.74/30.23 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 111.74/30.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 111.74/30.23 fof(f6,axiom,(
% 111.74/30.23 (![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) ) ))),
% 111.74/30.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 111.74/30.23 fof(f20,axiom,(
% 111.74/30.23 (![U,V]: (equidistant(U,V,U,V) ))),
% 111.74/30.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 111.74/30.23 fof(f65,hypothesis,(
% 111.74/30.23 between(u,v,w) ),
% 111.74/30.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 111.74/30.23 fof(f66,hypothesis,(
% 111.74/30.23 equidistant(u,w,u,w1) ),
% 111.74/30.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 111.74/30.23 fof(f67,hypothesis,(
% 111.74/30.23 equidistant(v,w,v,w1) ),
% 111.74/30.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 111.74/30.23 fof(f68,hypothesis,(
% 111.74/30.23 u != v ),
% 111.74/30.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 111.74/30.23 fof(f69,negated_conjecture,(
% 111.74/30.23 w != w1 ),
% 111.74/30.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 111.74/30.23 fof(f71,plain,(
% 111.74/30.23 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 111.74/30.23 inference(miniscoping,[status(thm)],[f2])).
% 111.74/30.23 fof(f72,plain,(
% 111.74/30.23 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 111.74/30.23 inference(cnf_transformation,[status(thm)],[f71])).
% 111.74/30.23 fof(f73,plain,(
% 111.74/30.23 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 111.74/30.23 inference(miniscoping,[status(thm)],[f3])).
% 111.74/30.23 fof(f74,plain,(
% 111.74/30.23 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 111.74/30.23 inference(cnf_transformation,[status(thm)],[f73])).
% 111.74/30.23 fof(f77,plain,(
% 111.74/30.23 ![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))),
% 111.74/30.23 inference(miniscoping,[status(thm)],[f6])).
% 111.74/30.23 fof(f78,plain,(
% 111.74/30.23 ![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))),
% 111.74/30.23 inference(cnf_transformation,[status(thm)],[f77])).
% 111.74/30.23 fof(f93,plain,(
% 111.74/30.23 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 111.74/30.23 inference(cnf_transformation,[status(thm)],[f20])).
% 111.74/30.23 fof(f154,plain,(
% 111.74/30.23 between(u,v,w)),
% 111.74/30.23 inference(cnf_transformation,[status(thm)],[f65])).
% 111.74/30.23 fof(f155,plain,(
% 111.74/30.23 equidistant(u,w,u,w1)),
% 111.74/30.23 inference(cnf_transformation,[status(thm)],[f66])).
% 111.74/30.23 fof(f156,plain,(
% 111.74/30.23 equidistant(v,w,v,w1)),
% 111.74/30.23 inference(cnf_transformation,[status(thm)],[f67])).
% 111.74/30.23 fof(f157,plain,(
% 111.74/30.23 ~u=v),
% 111.74/30.23 inference(cnf_transformation,[status(thm)],[f68])).
% 111.74/30.23 fof(f158,plain,(
% 111.74/30.23 ~w=w1),
% 111.74/30.23 inference(cnf_transformation,[status(thm)],[f69])).
% 111.74/30.23 fof(f162,plain,(
% 111.74/30.23 ![X0,X1]: (~equidistant(v,w,X0,X1)|equidistant(v,w1,X0,X1))),
% 111.74/30.23 inference(resolution,[status(thm)],[f72,f156])).
% 111.74/30.23 fof(f164,plain,(
% 111.74/30.23 ![X0,X1]: (~equidistant(u,w,X0,X1)|equidistant(u,w1,X0,X1))),
% 111.74/30.23 inference(resolution,[status(thm)],[f72,f155])).
% 111.74/30.23 fof(f245,plain,(
% 111.74/30.23 ![X0,X1]: (~equidistant(u,v,u,v)|~equidistant(v,w,v,w)|~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|u=v|equidistant(w,X0,w,X1))),
% 111.74/30.23 inference(resolution,[status(thm)],[f78,f154])).
% 111.74/30.23 fof(f264,plain,(
% 111.74/30.23 ![X0,X1]: (~equidistant(v,w,v,w)|~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|u=v|equidistant(w,X0,w,X1))),
% 111.74/30.23 inference(forward_subsumption_resolution,[status(thm)],[f245,f93])).
% 111.74/30.23 fof(f269,plain,(
% 111.74/30.23 equidistant(v,w1,v,w)),
% 111.74/30.23 inference(resolution,[status(thm)],[f162,f93])).
% 111.74/30.23 fof(f300,plain,(
% 111.74/30.23 equidistant(u,w1,u,w)),
% 111.74/30.23 inference(resolution,[status(thm)],[f164,f93])).
% 111.74/30.23 fof(f3412,plain,(
% 111.74/30.23 ![X0,X1]: (~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|u=v|equidistant(w,X0,w,X1))),
% 111.74/30.23 inference(forward_subsumption_resolution,[status(thm)],[f264,f93])).
% 111.74/30.23 fof(f3414,plain,(
% 111.74/30.27 ~equidistant(v,w1,v,w)|u=v|equidistant(w,w1,w,w)),
% 111.74/30.27 inference(resolution,[status(thm)],[f3412,f300])).
% 111.74/30.27 fof(f3428,plain,(
% 111.74/30.27 u=v|equidistant(w,w1,w,w)),
% 111.74/30.27 inference(forward_subsumption_resolution,[status(thm)],[f3414,f269])).
% 111.74/30.27 fof(f12483,plain,(
% 111.74/30.27 equidistant(w,w1,w,w)),
% 111.74/30.27 inference(forward_subsumption_resolution,[status(thm)],[f3428,f157])).
% 111.74/30.27 fof(f12581,plain,(
% 111.74/30.27 w=w1),
% 111.74/30.27 inference(resolution,[status(thm)],[f12483,f74])).
% 111.74/30.27 fof(f12617,plain,(
% 111.74/30.27 $false),
% 111.74/30.27 inference(forward_subsumption_resolution,[status(thm)],[f12581,f158])).
% 111.74/30.27 % SZS output end CNFRefutation for theBenchmark.p
% 4.15/30.29 % Elapsed time: 14.475113 seconds
% 4.15/30.29 % CPU time: 114.226818 seconds
% 4.15/30.29 % Total memory used: 283.042 MB
% 4.15/30.29 % Net memory used: 248.127 MB
%------------------------------------------------------------------------------