%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO045-3 : 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 : 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 12:25:38 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO045-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n003.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 08:39:20 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.12/5.41 % Refutation found
% 0.12/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/5.41 fof(f46,axiom,(
% 0.12/5.41 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f54,axiom,(
% 0.12/5.41 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(V,W,X)| between(U,W,X)| V = W ) ))),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f55,hypothesis,(
% 0.12/5.41 between(u,v,w) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f56,hypothesis,(
% 0.12/5.41 between(v,w,x) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f57,hypothesis,(
% 0.12/5.41 v != w ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f58,negated_conjecture,(
% 0.12/5.41 ~ between(u,v,x) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f114,plain,(
% 0.12/5.41 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f46])).
% 0.12/5.41 fof(f128,plain,(
% 0.12/5.41 ![V,W]: ((![U,X]: ((~between(U,V,W)|~between(V,W,X))|between(U,W,X)))|V=W)),
% 0.12/5.41 inference(miniscoping,[status(thm)],[f54])).
% 0.12/5.41 fof(f129,plain,(
% 0.12/5.41 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X2,X3)|between(X0,X2,X3)|X1=X2)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f128])).
% 0.12/5.41 fof(f130,plain,(
% 0.12/5.41 between(u,v,w)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f55])).
% 0.12/5.41 fof(f131,plain,(
% 0.12/5.41 between(v,w,x)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f56])).
% 0.12/5.41 fof(f132,plain,(
% 0.12/5.41 ~v=w),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f57])).
% 0.12/5.41 fof(f133,plain,(
% 0.12/5.41 ~between(u,v,x)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f58])).
% 0.12/5.41 fof(f154,plain,(
% 0.12/5.41 between(w,v,u)),
% 0.12/5.41 inference(resolution,[status(thm)],[f130,f114])).
% 0.12/5.41 fof(f159,plain,(
% 0.12/5.41 between(x,w,v)),
% 0.12/5.41 inference(resolution,[status(thm)],[f131,f114])).
% 0.12/5.41 fof(f168,plain,(
% 0.12/5.41 ![X0]: (~between(X0,w,v)|between(X0,v,u)|w=v)),
% 0.12/5.41 inference(resolution,[status(thm)],[f129,f154])).
% 0.12/5.41 fof(f173,plain,(
% 0.12/5.41 ![X0]: (~between(X0,w,v)|between(X0,v,u))),
% 0.12/5.41 inference(forward_subsumption_resolution,[status(thm)],[f168,f132])).
% 0.12/5.41 fof(f213,plain,(
% 0.12/5.41 between(x,v,u)),
% 0.12/5.41 inference(resolution,[status(thm)],[f173,f159])).
% 0.12/5.41 fof(f221,plain,(
% 0.12/5.41 between(u,v,x)),
% 0.12/5.41 inference(resolution,[status(thm)],[f213,f114])).
% 0.12/5.41 fof(f222,plain,(
% 0.12/5.41 $false),
% 0.12/5.41 inference(forward_subsumption_resolution,[status(thm)],[f221,f133])).
% 0.12/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.44 % Elapsed time: 0.064617 seconds
% 0.12/5.44 % CPU time: 0.246450 seconds
% 0.12/5.44 % Total memory used: 104.343 MB
% 0.12/5.44 % Net memory used: 104.115 MB
%------------------------------------------------------------------------------