%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO029-3 : 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 : n016.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 11.24s 1.98s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO029-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 20 08:28:36 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 11.24/1.98 % Refutation found
% 11.24/1.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.24/1.98 % SZS output start CNFRefutation for theBenchmark
% 11.24/1.98 fof(f4,axiom,(
% 11.24/1.98 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 11.24/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.24/1.98 fof(f5,axiom,(
% 11.24/1.98 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 11.24/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.24/1.98 fof(f19,axiom,(
% 11.24/1.98 (![U,V]: (reflection(U,V) = extension(U,V,U,V) ))),
% 11.24/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.24/1.98 fof(f26,axiom,(
% 11.24/1.98 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(X,W,U,V) ) ))),
% 11.24/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.24/1.98 fof(f28,axiom,(
% 11.24/1.98 (![U,V,W,X,Y,Z]: (( ~ equidistant(U,V,W,X)| ~ equidistant(W,X,Y,Z)| equidistant(U,V,Y,Z) ) ))),
% 11.24/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.24/1.98 fof(f38,axiom,(
% 11.24/1.98 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,V,X)| ~ equidistant(V,W,V,X)| U = V| W = X ) ))),
% 11.24/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.24/1.98 fof(f39,hypothesis,(
% 11.24/1.98 u != v ),
% 11.24/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.24/1.98 fof(f40,negated_conjecture,(
% 11.24/1.98 extension(u,v,u,v) != extension(u,v,v,u) ),
% 11.24/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.24/1.98 fof(f46,plain,(
% 11.24/1.98 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 11.24/1.98 inference(cnf_transformation,[status(thm)],[f4])).
% 11.24/1.98 fof(f47,plain,(
% 11.24/1.98 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 11.24/1.98 inference(cnf_transformation,[status(thm)],[f5])).
% 11.24/1.98 fof(f63,plain,(
% 11.24/1.98 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X0,X1))),
% 11.24/1.98 inference(cnf_transformation,[status(thm)],[f19])).
% 11.24/1.98 fof(f70,plain,(
% 11.24/1.98 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X3,X2,X0,X1))),
% 11.24/1.98 inference(cnf_transformation,[status(thm)],[f26])).
% 11.24/1.98 fof(f72,plain,(
% 11.24/1.98 ![U,V,Y,Z]: ((![W,X]: (~equidistant(U,V,W,X)|~equidistant(W,X,Y,Z)))|equidistant(U,V,Y,Z))),
% 11.24/1.98 inference(miniscoping,[status(thm)],[f28])).
% 11.24/1.98 fof(f73,plain,(
% 11.24/1.98 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X2,X3,X4,X5)|equidistant(X0,X1,X4,X5))),
% 11.24/1.98 inference(cnf_transformation,[status(thm)],[f72])).
% 11.24/1.98 fof(f85,plain,(
% 11.24/1.98 ![W,X]: ((![U,V]: (((~between(U,V,W)|~between(U,V,X))|~equidistant(V,W,V,X))|U=V))|W=X)),
% 11.24/1.98 inference(miniscoping,[status(thm)],[f38])).
% 11.24/1.98 fof(f86,plain,(
% 11.24/1.98 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|~equidistant(X1,X2,X1,X3)|X0=X1|X2=X3)),
% 11.24/1.98 inference(cnf_transformation,[status(thm)],[f85])).
% 11.24/1.98 fof(f87,plain,(
% 11.24/1.98 ~u=v),
% 11.24/1.98 inference(cnf_transformation,[status(thm)],[f39])).
% 11.24/1.98 fof(f88,plain,(
% 11.24/1.98 ~extension(u,v,u,v)=extension(u,v,v,u)),
% 11.24/1.98 inference(cnf_transformation,[status(thm)],[f40])).
% 11.24/1.98 fof(f93,plain,(
% 11.24/1.98 ~reflection(u,v)=extension(u,v,v,u)),
% 11.24/1.98 inference(backward_demodulation,[status(thm)],[f63,f88])).
% 11.24/1.98 fof(f459,plain,(
% 11.24/1.98 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~equidistant(X1,X2,X1,extension(X0,X1,X3,X4))|X0=X1|X2=extension(X0,X1,X3,X4))),
% 11.24/1.98 inference(resolution,[status(thm)],[f86,f46])).
% 11.24/1.98 fof(f499,plain,(
% 11.24/1.98 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,extension(X1,X0,X2,X3),X0,extension(X1,X0,X4,X5))|X1=X0|extension(X1,X0,X2,X3)=extension(X1,X0,X4,X5))),
% 11.24/1.98 inference(resolution,[status(thm)],[f459,f46])).
% 11.24/1.98 fof(f600,plain,(
% 11.24/1.98 ![X0,X1,X2,X3,X4,X5,X6,X7]: (X0=X1|extension(X0,X1,X2,X3)=extension(X0,X1,X4,X5)|~equidistant(X1,extension(X0,X1,X2,X3),X6,X7)|~equidistant(X6,X7,X1,extension(X0,X1,X4,X5)))),
% 11.24/1.98 inference(resolution,[status(thm)],[f499,f73])).
% 11.24/1.98 fof(f836,plain,(
% 11.24/1.98 ![X0,X1,X2,X3,X4,X5]: (X0=X1|extension(X0,X1,X2,X3)=extension(X0,X1,X4,X5)|~equidistant(X2,X3,X1,extension(X0,X1,X4,X5)))),
% 11.24/1.98 inference(resolution,[status(thm)],[f600,f47])).
% 11.24/1.98 fof(f867,plain,(
% 11.24/1.98 ![X0,X1,X2,X3,X4,X5]: (X0=X1|extension(X0,X1,X2,X3)=extension(X0,X1,X4,X5)|~equidistant(X1,extension(X0,X1,X4,X5),X3,X2))),
% 11.24/1.98 inference(resolution,[status(thm)],[f836,f70])).
% 11.24/1.98 fof(f907,plain,(
% 11.24/1.98 ![X0,X1,X2,X3]: (X0=X1|extension(X0,X1,X2,X3)=extension(X0,X1,X3,X2))),
% 11.24/1.98 inference(resolution,[status(thm)],[f867,f47])).
% 11.24/1.98 fof(f937,plain,(
% 11.24/1.98 ~reflection(u,v)=extension(u,v,u,v)|u=v),
% 11.24/1.98 inference(paramodulation,[status(thm)],[f907,f93])).
% 11.24/1.98 fof(f1027,definition,(
% 11.24/1.98 sQ0_spl <=> (reflection(u,v)=extension(u,v,u,v))),
% 11.24/1.99 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 11.24/1.99 fof(f1029,plain,(
% 11.24/1.99 ~reflection(u,v)=extension(u,v,u,v)|sQ0_spl),
% 11.24/1.99 inference(component_clause,[status(thm)],[f1027])).
% 11.24/1.99 fof(f1030,definition,(
% 11.24/1.99 sQ1_spl <=> (u=v)),
% 11.24/1.99 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 11.24/1.99 fof(f1031,plain,(
% 11.24/1.99 u=v|~sQ1_spl),
% 11.24/1.99 inference(component_clause,[status(thm)],[f1030])).
% 11.24/1.99 fof(f1033,plain,(
% 11.24/1.99 ~sQ0_spl|sQ1_spl),
% 11.24/1.99 inference(split_clause,[status(thm)],[f937,f1027,f1030])).
% 11.24/1.99 fof(f1065,plain,(
% 11.24/1.99 ~reflection(u,v)=reflection(u,v)|sQ0_spl),
% 11.24/1.99 inference(forward_demodulation,[status(thm)],[f63,f1029])).
% 11.24/1.99 fof(f1066,plain,(
% 11.24/1.99 $false|sQ0_spl),
% 11.24/1.99 inference(trivial_equality_resolution,[status(thm)],[f1065])).
% 11.24/1.99 fof(f1067,plain,(
% 11.24/1.99 sQ0_spl),
% 11.24/1.99 inference(contradiction_clause,[status(thm)],[f1066])).
% 11.24/1.99 fof(f1068,plain,(
% 11.24/1.99 $false|~sQ1_spl),
% 11.24/1.99 inference(forward_subsumption_resolution,[status(thm)],[f1031,f87])).
% 11.24/1.99 fof(f1069,plain,(
% 11.24/1.99 ~sQ1_spl),
% 11.24/1.99 inference(contradiction_clause,[status(thm)],[f1068])).
% 11.24/1.99 fof(f1070,plain,(
% 11.24/1.99 $false),
% 11.24/1.99 inference(sat_refutation,[status(thm)],[f1033,f1067,f1069])).
% 11.24/1.99 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/2.01 % Elapsed time: 1.556172 seconds
% 0.22/2.01 % CPU time: 11.821403 seconds
% 0.22/2.01 % Total memory used: 133.374 MB
% 0.22/2.01 % Net memory used: 127.268 MB
%------------------------------------------------------------------------------