%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO026-3 : 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 : n007.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 16.61s 2.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO026-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 08:20:19 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 16.61/2.72 % Refutation found
% 16.61/2.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.61/2.72 % SZS output start CNFRefutation for theBenchmark
% 16.61/2.72 fof(f3,axiom,(
% 16.61/2.72 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 16.61/2.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.61/2.72 fof(f6,axiom,(
% 16.61/2.72 (![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) ) ))),
% 16.61/2.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.61/2.72 fof(f20,axiom,(
% 16.61/2.72 (![U,V]: (equidistant(U,V,U,V) ))),
% 16.61/2.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.61/2.72 fof(f38,hypothesis,(
% 16.61/2.72 between(u,v,w) ),
% 16.61/2.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.61/2.72 fof(f39,hypothesis,(
% 16.61/2.72 between(u,v,x) ),
% 16.61/2.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.61/2.72 fof(f40,hypothesis,(
% 16.61/2.72 equidistant(v,w,v,x) ),
% 16.61/2.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.61/2.72 fof(f41,hypothesis,(
% 16.61/2.72 u != v ),
% 16.61/2.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.61/2.72 fof(f42,negated_conjecture,(
% 16.61/2.72 w != x ),
% 16.61/2.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.61/2.72 fof(f46,plain,(
% 16.61/2.72 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 16.61/2.72 inference(miniscoping,[status(thm)],[f3])).
% 16.61/2.72 fof(f47,plain,(
% 16.61/2.72 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 16.61/2.72 inference(cnf_transformation,[status(thm)],[f46])).
% 16.61/2.72 fof(f50,plain,(
% 16.61/2.72 ![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))),
% 16.61/2.72 inference(miniscoping,[status(thm)],[f6])).
% 16.61/2.72 fof(f51,plain,(
% 16.61/2.72 ![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))),
% 16.61/2.72 inference(cnf_transformation,[status(thm)],[f50])).
% 16.61/2.72 fof(f66,plain,(
% 16.61/2.72 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 16.61/2.72 inference(cnf_transformation,[status(thm)],[f20])).
% 16.61/2.72 fof(f87,plain,(
% 16.61/2.72 between(u,v,w)),
% 16.61/2.72 inference(cnf_transformation,[status(thm)],[f38])).
% 16.61/2.72 fof(f88,plain,(
% 16.61/2.72 between(u,v,x)),
% 16.61/2.72 inference(cnf_transformation,[status(thm)],[f39])).
% 16.61/2.72 fof(f89,plain,(
% 16.61/2.72 equidistant(v,w,v,x)),
% 16.61/2.72 inference(cnf_transformation,[status(thm)],[f40])).
% 16.61/2.72 fof(f90,plain,(
% 16.61/2.72 ~u=v),
% 16.61/2.72 inference(cnf_transformation,[status(thm)],[f41])).
% 16.61/2.72 fof(f91,plain,(
% 16.61/2.72 ~w=x),
% 16.61/2.72 inference(cnf_transformation,[status(thm)],[f42])).
% 16.61/2.72 fof(f286,plain,(
% 16.61/2.72 ![X0,X1,X2,X3]: (~equidistant(X0,v,X1,v)|~equidistant(X0,X2,X1,X3)|~equidistant(v,X2,v,X3)|~between(X0,v,w)|~between(X1,v,x)|X0=v|equidistant(w,X2,x,X3))),
% 16.61/2.72 inference(resolution,[status(thm)],[f51,f89])).
% 16.61/2.72 fof(f327,plain,(
% 16.61/2.72 ![X0,X1,X2]: (~equidistant(X0,v,u,v)|~equidistant(X0,X1,u,X2)|~equidistant(v,X1,v,X2)|~between(X0,v,w)|X0=v|equidistant(w,X1,x,X2))),
% 16.61/2.72 inference(resolution,[status(thm)],[f286,f88])).
% 16.61/2.72 fof(f594,plain,(
% 16.61/2.72 ![X0,X1]: (~equidistant(u,v,u,v)|~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|u=v|equidistant(w,X0,x,X1))),
% 16.61/2.72 inference(resolution,[status(thm)],[f327,f87])).
% 16.61/2.72 fof(f595,plain,(
% 16.61/2.72 ![X0,X1]: (~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|u=v|equidistant(w,X0,x,X1))),
% 16.61/2.72 inference(forward_subsumption_resolution,[status(thm)],[f594,f66])).
% 16.61/2.72 fof(f634,plain,(
% 16.61/2.72 ![X0,X1]: (~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|equidistant(w,X0,x,X1))),
% 16.61/2.72 inference(forward_subsumption_resolution,[status(thm)],[f595,f90])).
% 16.61/2.72 fof(f639,plain,(
% 16.61/2.72 ![X0]: (~equidistant(v,X0,v,X0)|equidistant(w,X0,x,X0))),
% 16.61/2.72 inference(resolution,[status(thm)],[f634,f66])).
% 16.61/2.72 fof(f649,plain,(
% 16.61/2.72 ![X0]: (equidistant(w,X0,x,X0))),
% 16.61/2.72 inference(forward_subsumption_resolution,[status(thm)],[f639,f66])).
% 16.61/2.72 fof(f1114,plain,(
% 16.61/2.72 w=x),
% 16.61/2.72 inference(resolution,[status(thm)],[f649,f47])).
% 16.61/2.72 fof(f1120,plain,(
% 16.61/2.72 $false),
% 16.61/2.72 inference(forward_subsumption_resolution,[status(thm)],[f1114,f91])).
% 16.61/2.72 % SZS output end CNFRefutation for theBenchmark.p
% 16.61/2.74 % Elapsed time: 2.364932 seconds
% 16.61/2.74 % CPU time: 18.317253 seconds
% 16.61/2.74 % Total memory used: 159.189 MB
% 16.61/2.74 % Net memory used: 147.818 MB
%------------------------------------------------------------------------------