%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO039-3 : 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 : 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 12:25:37 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO039-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n020.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 08:34:37 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.39 fof(f7,axiom,(
% 0.09/5.39 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 0.09/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f44,axiom,(
% 0.09/5.39 (![U,V]: (between(U,V,V) ))),
% 0.09/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f45,hypothesis,(
% 0.09/5.39 between(u,w,x) ),
% 0.09/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f46,hypothesis,(
% 0.09/5.39 u = x ),
% 0.09/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f47,negated_conjecture,(
% 0.09/5.39 ~ between(v,w,x) ),
% 0.09/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f57,plain,(
% 0.09/5.39 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/5.39 fof(f100,plain,(
% 0.09/5.39 ![X0,X1]: (between(X0,X1,X1))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f44])).
% 0.09/5.39 fof(f101,plain,(
% 0.09/5.39 between(u,w,x)),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f45])).
% 0.09/5.39 fof(f102,plain,(
% 0.09/5.39 u=x),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f46])).
% 0.09/5.39 fof(f103,plain,(
% 0.09/5.39 ~between(v,w,x)),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f47])).
% 0.09/5.39 fof(f109,plain,(
% 0.09/5.39 between(u,w,u)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f102,f101])).
% 0.09/5.39 fof(f110,plain,(
% 0.09/5.39 ~between(v,w,u)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f102,f103])).
% 0.09/5.39 fof(f132,plain,(
% 0.09/5.39 u=w),
% 0.09/5.39 inference(resolution,[status(thm)],[f109,f57])).
% 0.09/5.39 fof(f140,plain,(
% 0.09/5.39 ~between(v,u,u)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f132,f110])).
% 0.09/5.39 fof(f143,plain,(
% 0.09/5.39 $false),
% 0.09/5.39 inference(forward_subsumption_resolution,[status(thm)],[f140,f100])).
% 0.09/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.42 % Elapsed time: 0.047348 seconds
% 0.12/5.42 % CPU time: 0.127606 seconds
% 0.12/5.42 % Total memory used: 35.495 MB
% 0.12/5.42 % Net memory used: 35.444 MB
%------------------------------------------------------------------------------