%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO011-5 : 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 : n003.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 12:25:32 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO011-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.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 08:17:59 UTC 2026
% 0.09/0.36 % 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(f4,axiom,(
% 0.09/0.40 (![X,Y,Z]: (( ~ colinear(X,Y,Z)| between(X,Y,Z)| between(Y,Z,X)| between(Z,X,Y) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f14,axiom,(
% 0.09/0.40 ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f15,axiom,(
% 0.09/0.40 ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f16,axiom,(
% 0.09/0.40 ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f17,negated_conjecture,(
% 0.09/0.40 colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~colinear(X0,X1,X2)|between(X0,X1,X2)|between(X1,X2,X0)|between(X2,X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 ~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.40 fof(f35,plain,(
% 0.09/0.40 ~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f36,plain,(
% 0.09/0.40 ~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.40 fof(f38,plain,(
% 0.09/0.40 between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)|between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)|between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.09/0.40 inference(resolution,[status(thm)],[f21,f37])).
% 0.09/0.40 fof(f39,plain,(
% 0.09/0.40 between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)|between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f38,f34])).
% 0.09/0.40 fof(f41,plain,(
% 0.09/0.40 between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f39,f35])).
% 0.09/0.40 fof(f42,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f36,f41])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.049938 seconds
% 0.09/0.42 % CPU time: 0.144155 seconds
% 0.09/0.42 % Total memory used: 80.366 MB
% 0.09/0.42 % Net memory used: 79.942 MB
%------------------------------------------------------------------------------