%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 0.07s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.51 % Computer : n006.cluster.edu
% 0.07/0.51 % Model : x86_64 x86_64
% 0.07/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.51 % Memory : 8046.5625MB
% 0.07/0.51 % OS : Linux 6.8.0-71-generic
% 0.07/0.51 % CPULimit : 300
% 0.07/0.51 % WCLimit : 300
% 0.07/0.51 % DateTime : Sun Sep 20 08:14:12 UTC 2026
% 0.07/0.52 % CPUTime :
% 0.07/0.53 % Drodi V4.1.1
% 0.07/0.56 % Refutation found
% 0.07/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.56 fof(f5,axiom,(
% 0.07/0.56 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.07/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.56 fof(f13,axiom,(
% 0.07/0.56 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.07/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.56 fof(f14,axiom,(
% 0.07/0.56 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.07/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.56 fof(f21,negated_conjecture,(
% 0.07/0.56 ~ between(a,b,b) ),
% 0.07/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.56 fof(f28,plain,(
% 0.07/0.56 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.07/0.56 inference(miniscoping,[status(thm)],[f5])).
% 0.07/0.56 fof(f29,plain,(
% 0.07/0.56 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.07/0.56 inference(cnf_transformation,[status(thm)],[f28])).
% 0.07/0.56 fof(f39,plain,(
% 0.07/0.56 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.07/0.56 inference(cnf_transformation,[status(thm)],[f13])).
% 0.07/0.56 fof(f40,plain,(
% 0.07/0.56 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.07/0.56 inference(cnf_transformation,[status(thm)],[f14])).
% 0.07/0.56 fof(f48,plain,(
% 0.07/0.56 ~between(a,b,b)),
% 0.07/0.56 inference(cnf_transformation,[status(thm)],[f21])).
% 0.07/0.56 fof(f73,plain,(
% 0.07/0.56 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.07/0.56 inference(resolution,[status(thm)],[f40,f29])).
% 0.07/0.56 fof(f86,plain,(
% 0.07/0.56 ![X0,X1]: (between(X0,X1,X1))),
% 0.07/0.56 inference(paramodulation,[status(thm)],[f73,f39])).
% 0.07/0.56 fof(f108,plain,(
% 0.07/0.56 $false),
% 0.07/0.56 inference(backward_subsumption_resolution,[status(thm)],[f48,f86])).
% 0.07/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.58 % Elapsed time: 0.053694 seconds
% 0.07/0.58 % CPU time: 0.185152 seconds
% 0.07/0.58 % Total memory used: 81.269 MB
% 0.07/0.58 % Net memory used: 80.841 MB
%------------------------------------------------------------------------------