%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO027-3 : 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 : n005.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 12:25:35 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO027-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n005.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 20 08:18:03 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.49 fof(f4,axiom,(
% 0.16/0.49 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f5,axiom,(
% 0.16/0.49 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f38,axiom,(
% 0.16/0.49 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,V,X)| ~ equidistant(V,W,V,X)| U = V| W = X ) ))),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f39,hypothesis,(
% 0.16/0.49 between(u,v,w) ),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f40,hypothesis,(
% 0.16/0.49 u != v ),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f41,negated_conjecture,(
% 0.16/0.49 w != extension(u,v,v,w) ),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f47,plain,(
% 0.16/0.49 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.49 fof(f48,plain,(
% 0.16/0.49 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/0.49 fof(f86,plain,(
% 0.16/0.49 ![W,X]: ((![U,V]: (((~between(U,V,W)|~between(U,V,X))|~equidistant(V,W,V,X))|U=V))|W=X)),
% 0.16/0.49 inference(miniscoping,[status(thm)],[f38])).
% 0.16/0.49 fof(f87,plain,(
% 0.16/0.49 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|~equidistant(X1,X2,X1,X3)|X0=X1|X2=X3)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f86])).
% 0.16/0.49 fof(f88,plain,(
% 0.16/0.49 between(u,v,w)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f39])).
% 0.16/0.49 fof(f89,plain,(
% 0.16/0.49 ~u=v),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f40])).
% 0.16/0.49 fof(f90,plain,(
% 0.16/0.49 ~w=extension(u,v,v,w)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f41])).
% 0.16/0.49 fof(f142,plain,(
% 0.16/0.49 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~equidistant(X1,extension(X0,X1,X3,X4),X1,X2)|X0=X1|extension(X0,X1,X3,X4)=X2)),
% 0.16/0.49 inference(resolution,[status(thm)],[f87,f47])).
% 0.16/0.49 fof(f158,definition,(
% 0.16/0.49 sQ1_spl <=> (u=v)),
% 0.16/0.49 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.49 fof(f159,plain,(
% 0.16/0.49 u=v|~sQ1_spl),
% 0.16/0.49 inference(component_clause,[status(thm)],[f158])).
% 0.16/0.49 fof(f173,plain,(
% 0.16/0.49 $false|~sQ1_spl),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f159,f89])).
% 0.16/0.49 fof(f174,plain,(
% 0.16/0.49 ~sQ1_spl),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f173])).
% 0.16/0.49 fof(f196,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~between(X0,X1,X2)|X0=X1|extension(X0,X1,X1,X2)=X2)),
% 0.16/0.49 inference(resolution,[status(thm)],[f142,f48])).
% 0.16/0.49 fof(f213,plain,(
% 0.16/0.49 u=v|extension(u,v,v,w)=w),
% 0.16/0.49 inference(resolution,[status(thm)],[f196,f88])).
% 0.16/0.49 fof(f218,definition,(
% 0.16/0.49 sQ7_spl <=> (extension(u,v,v,w)=w)),
% 0.16/0.49 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.16/0.49 fof(f219,plain,(
% 0.16/0.49 extension(u,v,v,w)=w|~sQ7_spl),
% 0.16/0.49 inference(component_clause,[status(thm)],[f218])).
% 0.16/0.49 fof(f221,plain,(
% 0.16/0.49 sQ1_spl|sQ7_spl),
% 0.16/0.49 inference(split_clause,[status(thm)],[f213,f158,f218])).
% 0.16/0.49 fof(f222,plain,(
% 0.16/0.49 $false|~sQ7_spl),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f219,f90])).
% 0.16/0.49 fof(f223,plain,(
% 0.16/0.49 ~sQ7_spl),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f222])).
% 0.16/0.49 fof(f224,plain,(
% 0.16/0.49 $false),
% 0.16/0.49 inference(sat_refutation,[status(thm)],[f174,f221,f223])).
% 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.51 % Elapsed time: 0.066950 seconds
% 0.16/0.51 % CPU time: 0.217627 seconds
% 0.16/0.51 % Total memory used: 61.416 MB
% 0.16/0.51 % Net memory used: 61.304 MB
%------------------------------------------------------------------------------