%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO022-2 : 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 : n003.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 12:25:34 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO022-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 08:19:00 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f1,axiom,(
% 0.13/0.43 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f2,axiom,(
% 0.13/0.43 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f19,hypothesis,(
% 0.13/0.43 equidistant(u,v,w,x) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f20,hypothesis,(
% 0.13/0.43 equidistant(w,x,y,z) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f21,negated_conjecture,(
% 0.13/0.43 ~ equidistant(u,v,y,z) ),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f22,plain,(
% 0.13/0.43 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.43 fof(f23,plain,(
% 0.13/0.43 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f2])).
% 0.13/0.43 fof(f24,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.43 fof(f44,plain,(
% 0.13/0.43 equidistant(u,v,w,x)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.43 fof(f45,plain,(
% 0.13/0.43 equidistant(w,x,y,z)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.43 fof(f46,plain,(
% 0.13/0.43 ~equidistant(u,v,y,z)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.43 fof(f51,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X1,X0))),
% 0.13/0.43 inference(resolution,[status(thm)],[f24,f22])).
% 0.13/0.43 fof(f52,plain,(
% 0.13/0.43 ![X0,X1]: (~equidistant(X0,X1,u,v)|~equidistant(X0,X1,y,z))),
% 0.13/0.43 inference(resolution,[status(thm)],[f24,f46])).
% 0.13/0.43 fof(f55,plain,(
% 0.13/0.43 ~equidistant(w,x,u,v)),
% 0.13/0.43 inference(resolution,[status(thm)],[f52,f45])).
% 0.13/0.43 fof(f63,plain,(
% 0.13/0.43 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 0.13/0.43 inference(resolution,[status(thm)],[f51,f22])).
% 0.13/0.43 fof(f66,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 0.13/0.43 inference(resolution,[status(thm)],[f63,f24])).
% 0.13/0.43 fof(f88,plain,(
% 0.13/0.43 equidistant(w,x,u,v)),
% 0.13/0.43 inference(resolution,[status(thm)],[f66,f44])).
% 0.13/0.43 fof(f92,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f88,f55])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.081032 seconds
% 0.13/0.45 % CPU time: 0.267304 seconds
% 0.13/0.45 % Total memory used: 81.941 MB
% 0.13/0.45 % Net memory used: 81.400 MB
%------------------------------------------------------------------------------