%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO041-3 : 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 : n002.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 0.13s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO041-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 08:37:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.46 % Refutation found
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.46 fof(f46,axiom,(
% 0.13/0.46 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f48,axiom,(
% 0.13/0.46 (![U,V,W]: (( ~ between(U,V,W)| ~ between(V,U,W)| U = V ) ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f49,hypothesis,(
% 0.13/0.46 between(u,v,w) ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f50,hypothesis,(
% 0.13/0.46 between(u,w,v) ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f51,negated_conjecture,(
% 0.13/0.46 v != w ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f107,plain,(
% 0.13/0.46 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.46 fof(f109,plain,(
% 0.13/0.46 ![U,V]: ((![W]: (~between(U,V,W)|~between(V,U,W)))|U=V)),
% 0.13/0.46 inference(miniscoping,[status(thm)],[f48])).
% 0.13/0.46 fof(f110,plain,(
% 0.13/0.46 ![X0,X1,X2]: (~between(X0,X1,X2)|~between(X1,X0,X2)|X0=X1)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f109])).
% 0.13/0.46 fof(f111,plain,(
% 0.13/0.46 between(u,v,w)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/0.46 fof(f112,plain,(
% 0.13/0.46 between(u,w,v)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.46 fof(f113,plain,(
% 0.13/0.46 ~v=w),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.46 fof(f250,plain,(
% 0.13/0.46 ![X0,X1,X2]: (~between(X0,X1,X2)|X0=X1|~between(X2,X0,X1))),
% 0.13/0.46 inference(resolution,[status(thm)],[f110,f107])).
% 0.13/0.46 fof(f273,plain,(
% 0.13/0.46 ~between(w,v,u)|w=v),
% 0.13/0.46 inference(resolution,[status(thm)],[f250,f112])).
% 0.13/0.46 fof(f283,plain,(
% 0.13/0.46 ~between(w,v,u)),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f273,f113])).
% 0.13/0.46 fof(f285,plain,(
% 0.13/0.46 ~between(u,v,w)),
% 0.13/0.46 inference(resolution,[status(thm)],[f283,f107])).
% 0.13/0.46 fof(f286,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f285,f111])).
% 0.13/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.48 % Elapsed time: 0.119505 seconds
% 0.13/0.48 % CPU time: 0.555109 seconds
% 0.13/0.48 % Total memory used: 106.492 MB
% 0.13/0.48 % Net memory used: 105.873 MB
%------------------------------------------------------------------------------