%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO039-2 : 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 : 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 12:25:37 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO039-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 08:32:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,axiom,(
% 0.09/0.40 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f19,hypothesis,(
% 0.09/0.40 between(u,w,x) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f20,hypothesis,(
% 0.09/0.40 u = x ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f21,negated_conjecture,(
% 0.09/0.40 ~ between(v,w,x) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f25,plain,(
% 0.09/0.40 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.40 fof(f26,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.40 fof(f27,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f28,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 between(u,w,x)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 u=x),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 ~between(v,w,x)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.40 fof(f47,plain,(
% 0.09/0.40 between(x,w,x)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f45,f44])).
% 0.09/0.40 fof(f48,plain,(
% 0.09/0.40 x=w),
% 0.09/0.40 inference(resolution,[status(thm)],[f47,f31])).
% 0.09/0.40 fof(f50,plain,(
% 0.09/0.40 ~between(v,x,x)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f48,f46])).
% 0.09/0.40 fof(f58,plain,(
% 0.09/0.40 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.09/0.40 inference(resolution,[status(thm)],[f28,f26])).
% 0.09/0.40 fof(f60,plain,(
% 0.09/0.40 ![X0,X1]: (between(X0,X1,X1))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f58,f27])).
% 0.09/0.40 fof(f62,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f50,f60])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.050980 seconds
% 0.09/0.42 % CPU time: 0.158698 seconds
% 0.09/0.42 % Total memory used: 79.886 MB
% 0.09/0.42 % Net memory used: 79.579 MB
%------------------------------------------------------------------------------