%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO021-3 : 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 : n013.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 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO021-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n013.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 08:16:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f22,hypothesis,(
% 0.13/0.38 equidistant(u,v,w,x) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f23,negated_conjecture,(
% 0.13/0.38 ~ equidistant(x,w,v,u) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f2])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 equidistant(u,v,w,x)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 ~equidistant(x,w,v,u)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X1,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f26,f24])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 ![X0,X1]: (~equidistant(X0,X1,x,w)|~equidistant(X0,X1,v,u))),
% 0.13/0.38 inference(resolution,[status(thm)],[f26,f50])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 ~equidistant(w,x,v,u)),
% 0.13/0.38 inference(resolution,[status(thm)],[f53,f24])).
% 0.13/0.38 fof(f96,plain,(
% 0.13/0.38 equidistant(w,x,v,u)),
% 0.13/0.38 inference(resolution,[status(thm)],[f52,f49])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f96,f56])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.057507 seconds
% 0.13/0.41 % CPU time: 0.199228 seconds
% 0.13/0.41 % Total memory used: 81.080 MB
% 0.13/0.41 % Net memory used: 80.697 MB
%------------------------------------------------------------------------------