%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO065-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 12:25:41 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO065-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n007.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 09:14:20 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.43 % Refutation found
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.43 fof(f20,axiom,(
% 0.09/0.43 (![Y,Z,X]: (( ~ between(Y,Z,X)| colinear(X,Y,Z) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f51,axiom,(
% 0.09/0.43 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f88,hypothesis,(
% 0.09/0.43 between(u,w,v) ),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f89,negated_conjecture,(
% 0.09/0.43 ~ colinear(u,v,w) ),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f113,plain,(
% 0.09/0.43 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X2,X0,X1))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.43 fof(f150,plain,(
% 0.09/0.43 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.43 fof(f212,plain,(
% 0.09/0.43 between(u,w,v)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f88])).
% 0.09/0.43 fof(f213,plain,(
% 0.09/0.43 ~colinear(u,v,w)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f89])).
% 0.09/0.43 fof(f386,plain,(
% 0.09/0.43 between(v,w,u)),
% 0.09/0.43 inference(resolution,[status(thm)],[f150,f212])).
% 0.09/0.43 fof(f394,plain,(
% 0.09/0.43 colinear(u,v,w)),
% 0.09/0.43 inference(resolution,[status(thm)],[f386,f113])).
% 0.09/0.43 fof(f396,plain,(
% 0.09/0.43 $false),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f394,f213])).
% 0.09/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.066735 seconds
% 0.09/0.46 % CPU time: 0.219490 seconds
% 0.09/0.46 % Total memory used: 105.004 MB
% 0.09/0.46 % Net memory used: 104.855 MB
%------------------------------------------------------------------------------