%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO064-2 : 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 : n007.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 12:25:41 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 : GEO064-2 : 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 : n007.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 09:16:20 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(f3,axiom,(
% 0.09/0.40 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,axiom,(
% 0.09/0.40 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,axiom,(
% 0.09/0.40 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,axiom,(
% 0.09/0.40 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f19,axiom,(
% 0.09/0.40 (![X,Y,Z]: (( ~ between(X,Y,Z)| colinear(X,Y,Z) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f23,hypothesis,(
% 0.09/0.40 between(w,v,u) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f24,negated_conjecture,(
% 0.09/0.40 ~ colinear(u,v,w) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f28,plain,(
% 0.09/0.40 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.40 fof(f29,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f35,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f36,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f47,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X0,X1,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f51,plain,(
% 0.09/0.40 between(w,v,u)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.40 fof(f52,plain,(
% 0.09/0.40 ~colinear(u,v,w)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.40 fof(f71,plain,(
% 0.09/0.40 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.09/0.40 inference(resolution,[status(thm)],[f31,f29])).
% 0.09/0.40 fof(f76,plain,(
% 0.09/0.40 ![X0,X1]: (between(X0,X1,X1))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f71,f30])).
% 0.09/0.40 fof(f88,plain,(
% 0.09/0.40 ![X0,X1]: (~between(X0,X1,u)|between(X1,inner_pasch(X0,X1,u,v,w),w))),
% 0.09/0.40 inference(resolution,[status(thm)],[f35,f51])).
% 0.09/0.40 fof(f91,plain,(
% 0.09/0.40 ![X0,X1]: (~between(X0,X1,u)|between(v,inner_pasch(X0,X1,u,v,w),X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f36,f51])).
% 0.09/0.40 fof(f95,plain,(
% 0.09/0.40 ![X0]: (between(u,inner_pasch(X0,u,u,v,w),w))),
% 0.09/0.40 inference(resolution,[status(thm)],[f88,f76])).
% 0.09/0.40 fof(f104,plain,(
% 0.09/0.40 ![X0]: (between(v,inner_pasch(X0,u,u,v,w),X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f91,f76])).
% 0.09/0.40 fof(f109,plain,(
% 0.09/0.40 v=inner_pasch(v,u,u,v,w)),
% 0.09/0.40 inference(resolution,[status(thm)],[f104,f34])).
% 0.09/0.40 fof(f116,plain,(
% 0.09/0.40 between(u,v,w)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f109,f95])).
% 0.09/0.40 fof(f123,plain,(
% 0.09/0.40 colinear(u,v,w)),
% 0.09/0.40 inference(resolution,[status(thm)],[f116,f47])).
% 0.09/0.40 fof(f124,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f123,f52])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.054995 seconds
% 0.09/0.42 % CPU time: 0.182225 seconds
% 0.09/0.42 % Total memory used: 81.082 MB
% 0.09/0.42 % Net memory used: 80.760 MB
%------------------------------------------------------------------------------