%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO011-2 : 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 : n020.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 0.19s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO011-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n020.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sun Sep 20 08:16:31 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.19/0.42 % Drodi V4.1.1
% 0.19/0.43 % Refutation found
% 0.19/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.43 fof(f10,axiom,(
% 0.19/0.43 ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.19/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.43 fof(f11,axiom,(
% 0.19/0.43 ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
% 0.19/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.43 fof(f12,axiom,(
% 0.19/0.43 ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
% 0.19/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.43 fof(f22,axiom,(
% 0.19/0.43 (![X,Y,Z]: (( ~ colinear(X,Y,Z)| between(X,Y,Z)| between(Y,Z,X)| between(Z,X,Y) ) ))),
% 0.19/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.43 fof(f23,negated_conjecture,(
% 0.19/0.43 colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.19/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.43 fof(f36,plain,(
% 0.19/0.43 ~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)),
% 0.19/0.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.19/0.43 fof(f37,plain,(
% 0.19/0.43 ~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)),
% 0.19/0.43 inference(cnf_transformation,[status(thm)],[f11])).
% 0.19/0.43 fof(f38,plain,(
% 0.19/0.43 ~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.19/0.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.43 fof(f49,plain,(
% 0.19/0.43 ![X0,X1,X2]: (~colinear(X0,X1,X2)|between(X0,X1,X2)|between(X1,X2,X0)|between(X2,X0,X1))),
% 0.19/0.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.19/0.43 fof(f50,plain,(
% 0.19/0.43 colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)),
% 0.19/0.43 inference(cnf_transformation,[status(thm)],[f23])).
% 0.19/0.43 fof(f51,plain,(
% 0.19/0.43 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)),
% 0.19/0.43 inference(resolution,[status(thm)],[f49,f50])).
% 0.19/0.43 fof(f52,plain,(
% 0.19/0.43 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)),
% 0.19/0.43 inference(forward_subsumption_resolution,[status(thm)],[f51,f36])).
% 0.19/0.43 fof(f54,plain,(
% 0.19/0.43 between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.19/0.43 inference(forward_subsumption_resolution,[status(thm)],[f52,f37])).
% 0.19/0.43 fof(f55,plain,(
% 0.19/0.43 $false),
% 0.19/0.43 inference(backward_subsumption_resolution,[status(thm)],[f38,f54])).
% 0.19/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.54 % Elapsed time: 0.126492 seconds
% 0.22/0.54 % CPU time: 0.102884 seconds
% 0.22/0.54 % Total memory used: 5.023 MB
% 0.22/0.54 % Net memory used: 5.009 MB
%------------------------------------------------------------------------------