%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO003-2 : 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 : n018.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 12:25:30 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n018.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sun Sep 20 08:16:11 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.34 % Drodi V4.1.1
% 0.10/0.36 % Refutation found
% 0.10/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.36 fof(f3,axiom,(
% 0.10/0.36 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f4,axiom,(
% 0.10/0.36 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f5,axiom,(
% 0.10/0.36 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f19,negated_conjecture,(
% 0.10/0.36 ~ between(a,b,b) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f23,plain,(
% 0.10/0.36 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.10/0.36 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.36 fof(f24,plain,(
% 0.10/0.36 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.36 fof(f25,plain,(
% 0.10/0.36 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.36 fof(f26,plain,(
% 0.10/0.36 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.36 fof(f42,plain,(
% 0.10/0.36 ~between(a,b,b)),
% 0.10/0.36 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.36 fof(f49,plain,(
% 0.10/0.36 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.10/0.36 inference(resolution,[status(thm)],[f26,f24])).
% 0.10/0.36 fof(f51,plain,(
% 0.10/0.36 ![X0,X1]: (between(X0,X1,X1))),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f49,f25])).
% 0.10/0.36 fof(f53,plain,(
% 0.10/0.36 $false),
% 0.10/0.36 inference(backward_subsumption_resolution,[status(thm)],[f42,f51])).
% 0.10/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.40 % Elapsed time: 0.053433 seconds
% 0.10/0.40 % CPU time: 0.171276 seconds
% 0.10/0.40 % Total memory used: 80.543 MB
% 0.10/0.40 % Net memory used: 80.118 MB
%------------------------------------------------------------------------------