TSTP Solution File: GEO030-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:07:30 EDT 2023
% Result : Unsatisfiable 217.50s 27.77s
% Output : CNFRefutation 220.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:51:52 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 217.50/27.77 % Refutation found
% 217.50/27.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 217.50/27.77 % SZS output start CNFRefutation for theBenchmark
% 217.50/27.77 fof(f1,axiom,(
% 217.50/27.77 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f2,axiom,(
% 217.50/27.77 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f3,axiom,(
% 217.50/27.77 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f5,axiom,(
% 217.50/27.77 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f6,axiom,(
% 217.50/27.77 (![X,Y,X1,Y1,Z,Z1,V,V1]: (( ~ equidistant(X,Y,X1,Y1)| ~ equidistant(Y,Z,Y1,Z1)| ~ equidistant(X,V,X1,V1)| ~ equidistant(Y,V,Y1,V1)| ~ between(X,Y,Z)| ~ between(X1,Y1,Z1)| X = Y| equidistant(Z,V,Z1,V1) ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f19,axiom,(
% 217.50/27.77 (![U,V]: (reflection(U,V) = extension(U,V,U,V) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f20,axiom,(
% 217.50/27.77 (![U,V]: (equidistant(U,V,U,V) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f21,axiom,(
% 217.50/27.77 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f22,axiom,(
% 217.50/27.77 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(V,U,W,X) ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f23,axiom,(
% 217.50/27.77 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(U,V,X,W) ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f24,axiom,(
% 217.50/27.77 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(V,U,X,W) ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f29,axiom,(
% 217.50/27.77 (![V,U,W]: (V = extension(U,V,W,W) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f31,axiom,(
% 217.50/27.77 (![U,V]: (between(U,V,reflection(U,V)) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f32,axiom,(
% 217.50/27.77 (![V,U]: (equidistant(V,reflection(U,V),U,V) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f33,axiom,(
% 217.50/27.77 (![U,V]: (( U != V| V = reflection(U,V) ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f35,axiom,(
% 217.50/27.77 (![V,U]: (( V != reflection(U,V)| U = V ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f36,axiom,(
% 217.50/27.77 (![U,V]: (equidistant(U,U,V,V) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f40,axiom,(
% 217.50/27.77 (![W,X,Y,Z,U,V]: (( ~ equidistant(W,X,Y,Z)| extension(U,V,W,X) = extension(U,V,Y,Z)| U = V ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f41,axiom,(
% 217.50/27.77 (![U,V]: (( extension(U,V,U,V) = extension(U,V,V,U)| U = V ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f43,axiom,(
% 217.50/27.77 (![U,V]: (U = reflection(reflection(U,V),V) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f44,axiom,(
% 217.50/27.77 (![U,V]: (between(U,V,V) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f46,axiom,(
% 217.50/27.77 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f47,axiom,(
% 217.50/27.77 (![U,V]: (between(U,U,V) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f56,axiom,(
% 217.50/27.77 (![U,V,X,W]: (( ~ between(U,V,X)| ~ between(V,W,X)| between(U,W,X) ) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f58,axiom,(
% 217.50/27.77 lower_dimension_point_1 != lower_dimension_point_2 ),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f61,axiom,(
% 217.50/27.77 (![V,U]: (V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ))),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f65,hypothesis,(
% 217.50/27.77 between(u,v,w) ),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f66,hypothesis,(
% 217.50/27.77 equidistant(u,w,u,w1) ),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f67,hypothesis,(
% 217.50/27.77 equidistant(v,w,v,w1) ),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f68,hypothesis,(
% 217.50/27.77 u != v ),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f69,negated_conjecture,(
% 217.50/27.77 w != w1 ),
% 217.50/27.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 217.50/27.77 fof(f70,plain,(
% 217.50/27.77 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f1])).
% 217.50/27.77 fof(f71,plain,(
% 217.50/27.77 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 217.50/27.77 inference(miniscoping,[status(esa)],[f2])).
% 217.50/27.77 fof(f72,plain,(
% 217.50/27.77 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f71])).
% 217.50/27.77 fof(f73,plain,(
% 217.50/27.77 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 217.50/27.77 inference(miniscoping,[status(esa)],[f3])).
% 217.50/27.77 fof(f74,plain,(
% 217.50/27.77 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f73])).
% 217.50/27.77 fof(f76,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f5])).
% 217.50/27.77 fof(f77,plain,(
% 217.50/27.77 ![Z,Z1,V,V1]: ((![X,Y]: ((![X1,Y1]: (((((~equidistant(X,Y,X1,Y1)|~equidistant(Y,Z,Y1,Z1))|~equidistant(X,V,X1,V1))|~equidistant(Y,V,Y1,V1))|~between(X,Y,Z))|~between(X1,Y1,Z1)))|X=Y))|equidistant(Z,V,Z1,V1))),
% 217.50/27.77 inference(miniscoping,[status(esa)],[f6])).
% 217.50/27.77 fof(f78,plain,(
% 217.50/27.77 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,X2,X3)|~equidistant(X1,X4,X3,X5)|~equidistant(X0,X6,X2,X7)|~equidistant(X1,X6,X3,X7)|~between(X0,X1,X4)|~between(X2,X3,X5)|X0=X1|equidistant(X4,X6,X5,X7))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f77])).
% 217.50/27.77 fof(f92,plain,(
% 217.50/27.77 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X0,X1))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f19])).
% 217.50/27.77 fof(f93,plain,(
% 217.50/27.77 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f20])).
% 217.50/27.77 fof(f94,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f21])).
% 217.50/27.77 fof(f95,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X1,X0,X2,X3))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f22])).
% 217.50/27.77 fof(f96,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X0,X1,X3,X2))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f23])).
% 217.50/27.77 fof(f97,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X1,X0,X3,X2))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f24])).
% 217.50/27.77 fof(f103,plain,(
% 217.50/27.77 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f29])).
% 217.50/27.77 fof(f106,plain,(
% 217.50/27.77 ![X0,X1]: (between(X0,X1,reflection(X0,X1)))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f31])).
% 217.50/27.77 fof(f107,plain,(
% 217.50/27.77 ![X0,X1]: (equidistant(X0,reflection(X1,X0),X1,X0))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f32])).
% 217.50/27.77 fof(f108,plain,(
% 217.50/27.77 ![X0,X1]: (~X0=X1|X1=reflection(X0,X1))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f33])).
% 217.50/27.77 fof(f110,plain,(
% 217.50/27.77 ![X0,X1]: (~X0=reflection(X1,X0)|X1=X0)),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f35])).
% 217.50/27.77 fof(f111,plain,(
% 217.50/27.77 ![X0,X1]: (equidistant(X0,X0,X1,X1))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f36])).
% 217.50/27.77 fof(f117,plain,(
% 217.50/27.77 ![U,V]: ((![W,X,Y,Z]: (~equidistant(W,X,Y,Z)|extension(U,V,W,X)=extension(U,V,Y,Z)))|U=V)),
% 217.50/27.77 inference(miniscoping,[status(esa)],[f40])).
% 217.50/27.77 fof(f118,plain,(
% 217.50/27.77 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|extension(X4,X5,X0,X1)=extension(X4,X5,X2,X3)|X4=X5)),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f117])).
% 217.50/27.77 fof(f119,plain,(
% 217.50/27.77 ![X0,X1]: (extension(X0,X1,X0,X1)=extension(X0,X1,X1,X0)|X0=X1)),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f41])).
% 217.50/27.77 fof(f121,plain,(
% 217.50/27.77 ![X0,X1]: (X0=reflection(reflection(X0,X1),X1))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f43])).
% 217.50/27.77 fof(f122,plain,(
% 217.50/27.77 ![X0,X1]: (between(X0,X1,X1))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f44])).
% 217.50/27.77 fof(f125,plain,(
% 217.50/27.77 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f46])).
% 217.50/27.77 fof(f126,plain,(
% 217.50/27.77 ![X0,X1]: (between(X0,X0,X1))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f47])).
% 217.50/27.77 fof(f143,plain,(
% 217.50/27.77 ![U,X,W]: ((![V]: (~between(U,V,X)|~between(V,W,X)))|between(U,W,X))),
% 217.50/27.77 inference(miniscoping,[status(esa)],[f56])).
% 217.50/27.77 fof(f144,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|between(X0,X3,X2))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f143])).
% 217.50/27.77 fof(f147,plain,(
% 217.50/27.77 ~lower_dimension_point_1=lower_dimension_point_2),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f58])).
% 217.50/27.77 fof(f150,plain,(
% 217.50/27.77 ![X0,X1]: (~X0=extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f61])).
% 217.50/27.77 fof(f154,plain,(
% 217.50/27.77 between(u,v,w)),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f65])).
% 217.50/27.77 fof(f155,plain,(
% 217.50/27.77 equidistant(u,w,u,w1)),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f66])).
% 217.50/27.77 fof(f156,plain,(
% 217.50/27.77 equidistant(v,w,v,w1)),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f67])).
% 217.50/27.77 fof(f157,plain,(
% 217.50/27.77 ~u=v),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f68])).
% 217.50/27.77 fof(f158,plain,(
% 217.50/27.77 ~w=w1),
% 217.50/27.77 inference(cnf_transformation,[status(esa)],[f69])).
% 217.50/27.77 fof(f160,plain,(
% 217.50/27.77 ![X0]: (X0=reflection(X0,X0))),
% 217.50/27.77 inference(destructive_equality_resolution,[status(esa)],[f108])).
% 217.50/27.77 fof(f162,plain,(
% 217.50/27.77 ![X0,X1]: (~equidistant(v,w,X0,X1)|equidistant(X0,X1,v,w1))),
% 217.50/27.77 inference(resolution,[status(thm)],[f72,f156])).
% 217.50/27.77 fof(f163,plain,(
% 217.50/27.77 ![X0,X1]: (~equidistant(u,w,X0,X1)|equidistant(X0,X1,u,w1))),
% 217.50/27.77 inference(resolution,[status(thm)],[f72,f155])).
% 217.50/27.77 fof(f173,plain,(
% 217.50/27.77 ![X0,X1]: (between(reflection(X0,X1),X1,X0))),
% 217.50/27.77 inference(paramodulation,[status(thm)],[f121,f106])).
% 217.50/27.77 fof(f179,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (~equidistant(X0,reflection(X1,X0),X2,X3)|equidistant(X2,X3,X1,X0))),
% 217.50/27.77 inference(resolution,[status(thm)],[f107,f72])).
% 217.50/27.77 fof(f180,plain,(
% 217.50/27.77 ![X0,X1]: (equidistant(X0,X1,reflection(X1,X0),X0))),
% 217.50/27.77 inference(paramodulation,[status(thm)],[f121,f107])).
% 217.50/27.77 fof(f251,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (~equidistant(X0,v,X1,v)|~equidistant(v,X2,v,X3)|~equidistant(X0,w,X1,w1)|~between(X0,v,X2)|~between(X1,v,X3)|X0=v|equidistant(X2,w,X3,w1))),
% 217.50/27.77 inference(resolution,[status(thm)],[f78,f156])).
% 217.50/27.77 fof(f319,plain,(
% 217.50/27.77 equidistant(reflection(w,u),u,u,w1)),
% 217.50/27.77 inference(resolution,[status(thm)],[f163,f180])).
% 217.50/27.77 fof(f321,plain,(
% 217.50/27.77 equidistant(w,u,u,w1)),
% 217.50/27.77 inference(resolution,[status(thm)],[f163,f70])).
% 217.50/27.77 fof(f624,plain,(
% 217.50/27.77 spl0_53 <=> w=w1),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f625,plain,(
% 217.50/27.77 w=w1|~spl0_53),
% 217.50/27.77 inference(component_clause,[status(thm)],[f624])).
% 217.50/27.77 fof(f646,plain,(
% 217.50/27.77 $false|~spl0_53),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f625,f158])).
% 217.50/27.77 fof(f647,plain,(
% 217.50/27.77 ~spl0_53),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f646])).
% 217.50/27.77 fof(f672,plain,(
% 217.50/27.77 spl0_59 <=> equidistant(v,w1,v,w)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f674,plain,(
% 217.50/27.77 ~equidistant(v,w1,v,w)|spl0_59),
% 217.50/27.77 inference(component_clause,[status(thm)],[f672])).
% 217.50/27.77 fof(f750,plain,(
% 217.50/27.77 spl0_69 <=> equidistant(w,u,w1,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f752,plain,(
% 217.50/27.77 ~equidistant(w,u,w1,u)|spl0_69),
% 217.50/27.77 inference(component_clause,[status(thm)],[f750])).
% 217.50/27.77 fof(f784,plain,(
% 217.50/27.77 spl0_72 <=> equidistant(reflection(u,w),reflection(u,w),w1,w1)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f786,plain,(
% 217.50/27.77 ~equidistant(reflection(u,w),reflection(u,w),w1,w1)|spl0_72),
% 217.50/27.77 inference(component_clause,[status(thm)],[f784])).
% 217.50/27.77 fof(f986,plain,(
% 217.50/27.77 between(w,v,u)),
% 217.50/27.77 inference(resolution,[status(thm)],[f125,f154])).
% 217.50/27.77 fof(f1002,plain,(
% 217.50/27.77 equidistant(u,w1,reflection(w,u),u)),
% 217.50/27.77 inference(resolution,[status(thm)],[f94,f319])).
% 217.50/27.77 fof(f1007,plain,(
% 217.50/27.77 equidistant(u,w1,w,u)),
% 217.50/27.77 inference(resolution,[status(thm)],[f94,f321])).
% 217.50/27.77 fof(f1014,plain,(
% 217.50/27.77 equidistant(u,w1,u,w)),
% 217.50/27.77 inference(resolution,[status(thm)],[f94,f155])).
% 217.50/27.77 fof(f1015,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (equidistant(X0,X1,X2,extension(X3,X2,X0,X1)))),
% 217.50/27.77 inference(resolution,[status(thm)],[f94,f76])).
% 217.50/27.77 fof(f1016,plain,(
% 217.50/27.77 ![X0,X1]: (equidistant(X0,X1,X1,reflection(X0,X1)))),
% 217.50/27.77 inference(resolution,[status(thm)],[f94,f107])).
% 217.50/27.77 fof(f1127,plain,(
% 217.50/27.77 spl0_110 <=> equidistant(w1,w1,u,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f1129,plain,(
% 217.50/27.77 ~equidistant(w1,w1,u,u)|spl0_110),
% 217.50/27.77 inference(component_clause,[status(thm)],[f1127])).
% 217.50/27.77 fof(f1173,plain,(
% 217.50/27.77 spl0_116 <=> equidistant(w1,w1,w,w)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f1175,plain,(
% 217.50/27.77 ~equidistant(w1,w1,w,w)|spl0_116),
% 217.50/27.77 inference(component_clause,[status(thm)],[f1173])).
% 217.50/27.77 fof(f1253,plain,(
% 217.50/27.77 equidistant(w1,u,u,w)),
% 217.50/27.77 inference(resolution,[status(thm)],[f95,f1014])).
% 217.50/27.77 fof(f1254,plain,(
% 217.50/27.77 equidistant(w1,u,w,u)),
% 217.50/27.77 inference(resolution,[status(thm)],[f95,f1007])).
% 217.50/27.77 fof(f1261,plain,(
% 217.50/27.77 ![X0,X1]: (equidistant(X0,X1,X0,reflection(X1,X0)))),
% 217.50/27.77 inference(resolution,[status(thm)],[f95,f1016])).
% 217.50/27.77 fof(f1475,plain,(
% 217.50/27.77 spl0_135 <=> u=v),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f1476,plain,(
% 217.50/27.77 u=v|~spl0_135),
% 217.50/27.77 inference(component_clause,[status(thm)],[f1475])).
% 217.50/27.77 fof(f1480,plain,(
% 217.50/27.77 $false|~spl0_135),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f1476,f157])).
% 217.50/27.77 fof(f1481,plain,(
% 217.50/27.77 ~spl0_135),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f1480])).
% 217.50/27.77 fof(f1889,plain,(
% 217.50/27.77 equidistant(w,u,w1,u)),
% 217.50/27.77 inference(resolution,[status(thm)],[f1254,f94])).
% 217.50/27.77 fof(f2013,plain,(
% 217.50/27.77 spl0_148 <=> equidistant(u,v,u,v)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f2015,plain,(
% 217.50/27.77 ~equidistant(u,v,u,v)|spl0_148),
% 217.50/27.77 inference(component_clause,[status(thm)],[f2013])).
% 217.50/27.77 fof(f2016,plain,(
% 217.50/27.77 spl0_149 <=> ~equidistant(v,X0,v,X1)|~between(u,v,X0)|~between(u,v,X1)|equidistant(X0,w,X1,w1)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f2017,plain,(
% 217.50/27.77 ![X0,X1]: (~equidistant(v,X0,v,X1)|~between(u,v,X0)|~between(u,v,X1)|equidistant(X0,w,X1,w1)|~spl0_149)),
% 217.50/27.77 inference(component_clause,[status(thm)],[f2016])).
% 217.50/27.77 fof(f2019,plain,(
% 217.50/27.77 ![X0,X1]: (~equidistant(u,v,u,v)|~equidistant(v,X0,v,X1)|~between(u,v,X0)|~between(u,v,X1)|u=v|equidistant(X0,w,X1,w1))),
% 217.50/27.77 inference(resolution,[status(thm)],[f251,f155])).
% 217.50/27.77 fof(f2020,plain,(
% 217.50/27.77 ~spl0_148|spl0_149|spl0_135),
% 217.50/27.77 inference(split_clause,[status(thm)],[f2019,f2013,f2016,f1475])).
% 217.50/27.77 fof(f2048,plain,(
% 217.50/27.77 $false|spl0_148),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f2015,f93])).
% 217.50/27.77 fof(f2049,plain,(
% 217.50/27.77 spl0_148),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f2048])).
% 217.50/27.77 fof(f2673,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (equidistant(X0,X1,extension(X2,X3,X0,X1),X3))),
% 217.50/27.77 inference(resolution,[status(thm)],[f96,f1015])).
% 217.50/27.77 fof(f2966,plain,(
% 217.50/27.77 spl0_178 <=> equidistant(v,v,reflection(v,w),reflection(v,w))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f2968,plain,(
% 217.50/27.77 ~equidistant(v,v,reflection(v,w),reflection(v,w))|spl0_178),
% 217.50/27.77 inference(component_clause,[status(thm)],[f2966])).
% 217.50/27.77 fof(f3120,plain,(
% 217.50/27.77 ![X0,X1]: (~equidistant(u,w,X0,X1)|equidistant(X0,X1,u,w1))),
% 217.50/27.77 inference(resolution,[status(thm)],[f155,f72])).
% 217.50/27.77 fof(f3614,plain,(
% 217.50/27.77 equidistant(w1,u,reflection(w,u),u)),
% 217.50/27.77 inference(resolution,[status(thm)],[f1002,f95])).
% 217.50/27.77 fof(f3710,plain,(
% 217.50/27.77 spl0_221 <=> equidistant(w1,w1,reflection(w,u),reflection(w,u))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f3712,plain,(
% 217.50/27.77 ~equidistant(w1,w1,reflection(w,u),reflection(w,u))|spl0_221),
% 217.50/27.77 inference(component_clause,[status(thm)],[f3710])).
% 217.50/27.77 fof(f4126,plain,(
% 217.50/27.77 spl0_235 <=> between(w1,w,w)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4128,plain,(
% 217.50/27.77 ~between(w1,w,w)|spl0_235),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4126])).
% 217.50/27.77 fof(f4166,plain,(
% 217.50/27.77 spl0_239 <=> between(w1,u,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4168,plain,(
% 217.50/27.77 ~between(w1,u,u)|spl0_239),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4166])).
% 217.50/27.77 fof(f4394,plain,(
% 217.50/27.77 spl0_258 <=> between(u,v,w)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4396,plain,(
% 217.50/27.77 ~between(u,v,w)|spl0_258),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4394])).
% 217.50/27.77 fof(f4440,plain,(
% 217.50/27.77 $false|spl0_258),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4396,f154])).
% 217.50/27.77 fof(f4441,plain,(
% 217.50/27.77 spl0_258),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4440])).
% 217.50/27.77 fof(f4488,plain,(
% 217.50/27.77 equidistant(v,reflection(w,v),v,w1)),
% 217.50/27.77 inference(resolution,[status(thm)],[f162,f1261])).
% 217.50/27.77 fof(f4529,plain,(
% 217.50/27.77 spl0_268 <=> between(reflection(w,u),u,w)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4531,plain,(
% 217.50/27.77 ~between(reflection(w,u),u,w)|spl0_268),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4529])).
% 217.50/27.77 fof(f4553,plain,(
% 217.50/27.77 $false|spl0_268),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4531,f173])).
% 217.50/27.77 fof(f4554,plain,(
% 217.50/27.77 spl0_268),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4553])).
% 217.50/27.77 fof(f4668,plain,(
% 217.50/27.77 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X1,X0)|X0=X1)),
% 217.50/27.77 inference(forward_demodulation,[status(thm)],[f92,f119])).
% 217.50/27.77 fof(f4672,plain,(
% 217.50/27.77 spl0_273 <=> lower_dimension_point_2=lower_dimension_point_1),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4673,plain,(
% 217.50/27.77 lower_dimension_point_2=lower_dimension_point_1|~spl0_273),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4672])).
% 217.50/27.77 fof(f4693,plain,(
% 217.50/27.77 $false|~spl0_273),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4673,f147])).
% 217.50/27.77 fof(f4694,plain,(
% 217.50/27.77 ~spl0_273),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4693])).
% 217.50/27.77 fof(f4698,plain,(
% 217.50/27.77 ![X0,X1,X2,X3,X4]: (~equidistant(X0,X0,X1,X2)|X3=extension(X4,X3,X1,X2)|X4=X3)),
% 217.50/27.77 inference(paramodulation,[status(thm)],[f103,f118])).
% 217.50/27.77 fof(f4755,plain,(
% 217.50/27.77 spl0_277 <=> between(w,v,v)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4757,plain,(
% 217.50/27.77 ~between(w,v,v)|spl0_277),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4755])).
% 217.50/27.77 fof(f4775,plain,(
% 217.50/27.77 $false|spl0_277),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4757,f122])).
% 217.50/27.77 fof(f4776,plain,(
% 217.50/27.77 spl0_277),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4775])).
% 217.50/27.77 fof(f4790,plain,(
% 217.50/27.77 spl0_279 <=> between(w,v,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4792,plain,(
% 217.50/27.77 ~between(w,v,u)|spl0_279),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4790])).
% 217.50/27.77 fof(f4810,plain,(
% 217.50/27.77 $false|spl0_279),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4792,f986])).
% 217.50/27.77 fof(f4811,plain,(
% 217.50/27.77 spl0_279),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4810])).
% 217.50/27.77 fof(f4898,plain,(
% 217.50/27.77 spl0_282 <=> between(w1,v,reflection(v,v))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4900,plain,(
% 217.50/27.77 ~between(w1,v,reflection(v,v))|spl0_282),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4898])).
% 217.50/27.77 fof(f4907,plain,(
% 217.50/27.77 spl0_283 <=> between(w1,v,v)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4909,plain,(
% 217.50/27.77 ~between(w1,v,v)|spl0_283),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4907])).
% 217.50/27.77 fof(f4910,plain,(
% 217.50/27.77 spl0_284 <=> between(w,v,reflection(v,v))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4912,plain,(
% 217.50/27.77 ~between(w,v,reflection(v,v))|spl0_284),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4910])).
% 217.50/27.77 fof(f4920,plain,(
% 217.50/27.77 ~between(w,v,v)|spl0_284),
% 217.50/27.77 inference(forward_demodulation,[status(thm)],[f160,f4912])).
% 217.50/27.77 fof(f4921,plain,(
% 217.50/27.77 $false|spl0_284),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4920,f122])).
% 217.50/27.77 fof(f4922,plain,(
% 217.50/27.77 spl0_284),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4921])).
% 217.50/27.77 fof(f4923,plain,(
% 217.50/27.77 ~between(w1,v,v)|spl0_282),
% 217.50/27.77 inference(forward_demodulation,[status(thm)],[f160,f4900])).
% 217.50/27.77 fof(f4924,plain,(
% 217.50/27.77 $false|spl0_282),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4923,f122])).
% 217.50/27.77 fof(f4925,plain,(
% 217.50/27.77 spl0_282),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4924])).
% 217.50/27.77 fof(f4926,plain,(
% 217.50/27.77 $false|spl0_283),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4909,f122])).
% 217.50/27.77 fof(f4927,plain,(
% 217.50/27.77 spl0_283),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4926])).
% 217.50/27.77 fof(f4970,plain,(
% 217.50/27.77 spl0_286 <=> between(u,v,reflection(v,v))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4972,plain,(
% 217.50/27.77 ~between(u,v,reflection(v,v))|spl0_286),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4970])).
% 217.50/27.77 fof(f4973,plain,(
% 217.50/27.77 spl0_287 <=> between(u,v,v)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4975,plain,(
% 217.50/27.77 ~between(u,v,v)|spl0_287),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4973])).
% 217.50/27.77 fof(f4986,plain,(
% 217.50/27.77 ![X0]: (~between(u,v,X0)|~between(u,v,X0)|equidistant(X0,w,X0,w1)|~spl0_149)),
% 217.50/27.77 inference(resolution,[status(thm)],[f2017,f93])).
% 217.50/27.77 fof(f4987,plain,(
% 217.50/27.77 ![X0]: (~between(u,v,X0)|equidistant(X0,w,X0,w1)|~spl0_149)),
% 217.50/27.77 inference(duplicate_literals_removal,[status(esa)],[f4986])).
% 217.50/27.77 fof(f4990,plain,(
% 217.50/27.77 ~between(u,v,v)|spl0_286),
% 217.50/27.77 inference(forward_demodulation,[status(thm)],[f160,f4972])).
% 217.50/27.77 fof(f4991,plain,(
% 217.50/27.77 $false|spl0_286),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4990,f122])).
% 217.50/27.77 fof(f4992,plain,(
% 217.50/27.77 spl0_286),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4991])).
% 217.50/27.77 fof(f4993,plain,(
% 217.50/27.77 $false|spl0_287),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4975,f122])).
% 217.50/27.77 fof(f4994,plain,(
% 217.50/27.77 spl0_287),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f4993])).
% 217.50/27.77 fof(f4996,plain,(
% 217.50/27.77 spl0_288 <=> between(v,v,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f4998,plain,(
% 217.50/27.77 ~between(v,v,u)|spl0_288),
% 217.50/27.77 inference(component_clause,[status(thm)],[f4996])).
% 217.50/27.77 fof(f5007,plain,(
% 217.50/27.77 spl0_291 <=> between(v,u,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f5009,plain,(
% 217.50/27.77 ~between(v,u,u)|spl0_291),
% 217.50/27.77 inference(component_clause,[status(thm)],[f5007])).
% 217.50/27.77 fof(f5177,plain,(
% 217.50/27.77 spl0_298 <=> equidistant(v,u,v,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f5179,plain,(
% 217.50/27.77 ~equidistant(v,u,v,u)|spl0_298),
% 217.50/27.77 inference(component_clause,[status(thm)],[f5177])).
% 217.50/27.77 fof(f5224,plain,(
% 217.50/27.77 spl0_309 <=> equidistant(w1,u,w,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f5226,plain,(
% 217.50/27.77 ~equidistant(w1,u,w,u)|spl0_309),
% 217.50/27.77 inference(component_clause,[status(thm)],[f5224])).
% 217.50/27.77 fof(f5234,plain,(
% 217.50/27.77 $false|spl0_309),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f5226,f1254])).
% 217.50/27.77 fof(f5235,plain,(
% 217.50/27.77 spl0_309),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f5234])).
% 217.50/27.77 fof(f5236,plain,(
% 217.50/27.77 $false|spl0_298),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f5179,f93])).
% 217.50/27.77 fof(f5237,plain,(
% 217.50/27.77 spl0_298),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f5236])).
% 217.50/27.77 fof(f5320,plain,(
% 217.50/27.77 ![X0]: (~between(X0,u,w)|between(X0,v,w))),
% 217.50/27.77 inference(resolution,[status(thm)],[f144,f154])).
% 217.50/27.77 fof(f5440,plain,(
% 217.50/27.77 spl0_318 <=> between(w,u,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f5442,plain,(
% 217.50/27.77 ~between(w,u,u)|spl0_318),
% 217.50/27.77 inference(component_clause,[status(thm)],[f5440])).
% 217.50/27.77 fof(f5460,plain,(
% 217.50/27.77 $false|spl0_318),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f5442,f122])).
% 217.50/27.77 fof(f5461,plain,(
% 217.50/27.77 spl0_318),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f5460])).
% 217.50/27.77 fof(f5503,plain,(
% 217.50/27.77 spl0_324 <=> reflection(v,u)=u),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f5504,plain,(
% 217.50/27.77 reflection(v,u)=u|~spl0_324),
% 217.50/27.77 inference(component_clause,[status(thm)],[f5503])).
% 217.50/27.77 fof(f5552,plain,(
% 217.50/27.77 v=reflection(u,u)|~spl0_324),
% 217.50/27.77 inference(paramodulation,[status(thm)],[f5504,f121])).
% 217.50/27.77 fof(f5553,plain,(
% 217.50/27.77 v=u|~spl0_324),
% 217.50/27.77 inference(forward_demodulation,[status(thm)],[f160,f5552])).
% 217.50/27.77 fof(f5554,plain,(
% 217.50/27.77 $false|~spl0_324),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f5553,f157])).
% 217.50/27.77 fof(f5555,plain,(
% 217.50/27.77 ~spl0_324),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f5554])).
% 217.50/27.77 fof(f5690,plain,(
% 217.50/27.77 spl0_338 <=> between(w,v,reflection(w,v))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f5692,plain,(
% 217.50/27.77 ~between(w,v,reflection(w,v))|spl0_338),
% 217.50/27.77 inference(component_clause,[status(thm)],[f5690])).
% 217.50/27.77 fof(f5731,plain,(
% 217.50/27.77 $false|spl0_338),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f5692,f106])).
% 217.50/27.77 fof(f5732,plain,(
% 217.50/27.77 spl0_338),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f5731])).
% 217.50/27.77 fof(f6106,plain,(
% 217.50/27.77 ![X0,X1,X2,X3]: (equidistant(extension(X0,X1,X2,reflection(X3,X2)),X1,X3,X2))),
% 217.50/27.77 inference(resolution,[status(thm)],[f179,f2673])).
% 217.50/27.77 fof(f6205,plain,(
% 217.50/27.77 spl0_355 <=> between(w1,u,reflection(w1,u))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f6207,plain,(
% 217.50/27.77 ~between(w1,u,reflection(w1,u))|spl0_355),
% 217.50/27.77 inference(component_clause,[status(thm)],[f6205])).
% 217.50/27.77 fof(f6213,plain,(
% 217.50/27.77 spl0_357 <=> between(reflection(w1,u),u,w1)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f6215,plain,(
% 217.50/27.77 ~between(reflection(w1,u),u,w1)|spl0_357),
% 217.50/27.77 inference(component_clause,[status(thm)],[f6213])).
% 217.50/27.77 fof(f6241,plain,(
% 217.50/27.77 $false|spl0_357),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f6215,f173])).
% 217.50/27.77 fof(f6242,plain,(
% 217.50/27.77 spl0_357),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6241])).
% 217.50/27.77 fof(f6243,plain,(
% 217.50/27.77 $false|spl0_355),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f6207,f106])).
% 217.50/27.77 fof(f6244,plain,(
% 217.50/27.77 spl0_355),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6243])).
% 217.50/27.77 fof(f6248,plain,(
% 217.50/27.77 spl0_360 <=> between(u,w1,reflection(w1,w1))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f6250,plain,(
% 217.50/27.77 ~between(u,w1,reflection(w1,w1))|spl0_360),
% 217.50/27.77 inference(component_clause,[status(thm)],[f6248])).
% 217.50/27.77 fof(f6253,plain,(
% 217.50/27.77 spl0_361 <=> between(reflection(w1,w1),w1,u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f6255,plain,(
% 217.50/27.77 ~between(reflection(w1,w1),w1,u)|spl0_361),
% 217.50/27.77 inference(component_clause,[status(thm)],[f6253])).
% 217.50/27.77 fof(f6264,plain,(
% 217.50/27.77 ~between(u,w1,w1)|spl0_360),
% 217.50/27.77 inference(forward_demodulation,[status(thm)],[f160,f6250])).
% 217.50/27.77 fof(f6265,plain,(
% 217.50/27.77 $false|spl0_360),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f6264,f122])).
% 217.50/27.77 fof(f6266,plain,(
% 217.50/27.77 spl0_360),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6265])).
% 217.50/27.77 fof(f6267,plain,(
% 217.50/27.77 ~between(w1,w1,u)|spl0_361),
% 217.50/27.77 inference(forward_demodulation,[status(thm)],[f160,f6255])).
% 217.50/27.77 fof(f6268,plain,(
% 217.50/27.77 $false|spl0_361),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f6267,f126])).
% 217.50/27.77 fof(f6269,plain,(
% 217.50/27.77 spl0_361),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6268])).
% 217.50/27.77 fof(f6316,plain,(
% 217.50/27.77 spl0_366 <=> between(w1,v,reflection(w1,v))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f6318,plain,(
% 217.50/27.77 ~between(w1,v,reflection(w1,v))|spl0_366),
% 217.50/27.77 inference(component_clause,[status(thm)],[f6316])).
% 217.50/27.77 fof(f6324,plain,(
% 217.50/27.77 spl0_368 <=> between(reflection(w1,v),v,w1)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f6326,plain,(
% 217.50/27.77 ~between(reflection(w1,v),v,w1)|spl0_368),
% 217.50/27.77 inference(component_clause,[status(thm)],[f6324])).
% 217.50/27.77 fof(f6352,plain,(
% 217.50/27.77 $false|spl0_368),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f6326,f173])).
% 217.50/27.77 fof(f6353,plain,(
% 217.50/27.77 spl0_368),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6352])).
% 217.50/27.77 fof(f6354,plain,(
% 217.50/27.77 $false|spl0_366),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f6318,f106])).
% 217.50/27.77 fof(f6355,plain,(
% 217.50/27.77 spl0_366),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6354])).
% 217.50/27.77 fof(f6359,plain,(
% 217.50/27.77 spl0_371 <=> between(v,w1,reflection(w1,w1))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f6361,plain,(
% 217.50/27.77 ~between(v,w1,reflection(w1,w1))|spl0_371),
% 217.50/27.77 inference(component_clause,[status(thm)],[f6359])).
% 217.50/27.77 fof(f6364,plain,(
% 217.50/27.77 spl0_372 <=> between(reflection(w1,w1),w1,v)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f6366,plain,(
% 217.50/27.77 ~between(reflection(w1,w1),w1,v)|spl0_372),
% 217.50/27.77 inference(component_clause,[status(thm)],[f6364])).
% 217.50/27.77 fof(f6375,plain,(
% 217.50/27.77 ~between(w1,w1,v)|spl0_372),
% 217.50/27.77 inference(forward_demodulation,[status(thm)],[f160,f6366])).
% 217.50/27.77 fof(f6376,plain,(
% 217.50/27.77 $false|spl0_372),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f6375,f126])).
% 217.50/27.77 fof(f6377,plain,(
% 217.50/27.77 spl0_372),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6376])).
% 217.50/27.77 fof(f6378,plain,(
% 217.50/27.77 ~between(v,w1,w1)|spl0_371),
% 217.50/27.77 inference(forward_demodulation,[status(thm)],[f160,f6361])).
% 217.50/27.77 fof(f6379,plain,(
% 217.50/27.77 $false|spl0_371),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f6378,f122])).
% 217.50/27.77 fof(f6380,plain,(
% 217.50/27.77 spl0_371),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6379])).
% 217.50/27.77 fof(f6401,plain,(
% 217.50/27.77 spl0_374 <=> between(lower_dimension_point_1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f6403,plain,(
% 217.50/27.77 ~between(lower_dimension_point_1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|spl0_374),
% 217.50/27.77 inference(component_clause,[status(thm)],[f6401])).
% 217.50/27.77 fof(f6423,plain,(
% 217.50/27.77 $false|spl0_374),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f6403,f126])).
% 217.50/27.77 fof(f6424,plain,(
% 217.50/27.77 spl0_374),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6423])).
% 217.50/27.77 fof(f6525,plain,(
% 217.50/27.77 between(reflection(w,u),v,w)),
% 217.50/27.77 inference(resolution,[status(thm)],[f5320,f173])).
% 217.50/27.77 fof(f6553,plain,(
% 217.50/27.77 between(w,v,reflection(w,u))),
% 217.50/27.77 inference(resolution,[status(thm)],[f6525,f125])).
% 217.50/27.77 fof(f6733,plain,(
% 217.50/27.77 $false|spl0_288),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f4998,f126])).
% 217.50/27.77 fof(f6734,plain,(
% 217.50/27.77 spl0_288),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6733])).
% 217.50/27.77 fof(f6735,plain,(
% 217.50/27.77 $false|spl0_178),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f2968,f111])).
% 217.50/27.77 fof(f6736,plain,(
% 217.50/27.77 spl0_178),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f6735])).
% 217.50/27.77 fof(f6888,plain,(
% 217.50/27.77 equidistant(v,w1,v,w)),
% 217.50/27.77 inference(resolution,[status(thm)],[f156,f94])).
% 217.50/27.77 fof(f6925,plain,(
% 217.50/27.77 equidistant(u,w1,u,w)),
% 217.50/27.77 inference(resolution,[status(thm)],[f1253,f95])).
% 217.50/27.77 fof(f7315,plain,(
% 217.50/27.77 spl0_403 <=> equidistant(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f7317,plain,(
% 217.50/27.77 ~equidistant(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1)|spl0_403),
% 217.50/27.77 inference(component_clause,[status(thm)],[f7315])).
% 217.50/27.77 fof(f7389,plain,(
% 217.50/27.77 $false|spl0_403),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f7317,f111])).
% 217.50/27.77 fof(f7390,plain,(
% 217.50/27.77 spl0_403),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f7389])).
% 217.50/27.77 fof(f7403,plain,(
% 217.50/27.77 spl0_406 <=> between(w1,w1,w)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f7405,plain,(
% 217.50/27.77 ~between(w1,w1,w)|spl0_406),
% 217.50/27.77 inference(component_clause,[status(thm)],[f7403])).
% 217.50/27.77 fof(f7460,plain,(
% 217.50/27.77 spl0_413 <=> equidistant(u,w1,u,w)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f7462,plain,(
% 217.50/27.77 ~equidistant(u,w1,u,w)|spl0_413),
% 217.50/27.77 inference(component_clause,[status(thm)],[f7460])).
% 217.50/27.77 fof(f7609,plain,(
% 217.50/27.77 $false|spl0_406),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f7405,f126])).
% 217.50/27.77 fof(f7610,plain,(
% 217.50/27.77 spl0_406),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f7609])).
% 217.50/27.77 fof(f7614,plain,(
% 217.50/27.77 $false|spl0_69),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f752,f1889])).
% 217.50/27.77 fof(f7615,plain,(
% 217.50/27.77 spl0_69),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f7614])).
% 217.50/27.77 fof(f7742,plain,(
% 217.50/27.77 $false|spl0_116),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f1175,f111])).
% 217.50/27.77 fof(f7743,plain,(
% 217.50/27.77 spl0_116),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f7742])).
% 217.50/27.77 fof(f9291,plain,(
% 217.50/27.77 spl0_501 <=> between(reflection(u,w),reflection(u,w),u)),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f9293,plain,(
% 217.50/27.77 ~between(reflection(u,w),reflection(u,w),u)|spl0_501),
% 217.50/27.77 inference(component_clause,[status(thm)],[f9291])).
% 217.50/27.77 fof(f9294,plain,(
% 217.50/27.77 spl0_502 <=> between(u,u,reflection(u,w))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f9296,plain,(
% 217.50/27.77 ~between(u,u,reflection(u,w))|spl0_502),
% 217.50/27.77 inference(component_clause,[status(thm)],[f9294])).
% 217.50/27.77 fof(f9327,plain,(
% 217.50/27.77 $false|spl0_502),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f9296,f126])).
% 217.50/27.77 fof(f9328,plain,(
% 217.50/27.77 spl0_502),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f9327])).
% 217.50/27.77 fof(f9329,plain,(
% 217.50/27.77 $false|spl0_501),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f9293,f126])).
% 217.50/27.77 fof(f9330,plain,(
% 217.50/27.77 spl0_501),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f9329])).
% 217.50/27.77 fof(f9550,plain,(
% 217.50/27.77 $false|spl0_59),
% 217.50/27.77 inference(forward_subsumption_resolution,[status(thm)],[f674,f6888])).
% 217.50/27.77 fof(f9551,plain,(
% 217.50/27.77 spl0_59),
% 217.50/27.77 inference(contradiction_clause,[status(thm)],[f9550])).
% 217.50/27.77 fof(f9593,plain,(
% 217.50/27.77 spl0_522 <=> between(w,u,reflection(u,u))),
% 217.50/27.77 introduced(split_symbol_definition)).
% 217.50/27.77 fof(f9595,plain,(
% 217.50/27.77 ~between(w,u,reflection(u,u))|spl0_522),
% 217.50/27.77 inference(component_clause,[status(thm)],[f9593])).
% 217.50/27.77 fof(f9602,plain,(
% 217.50/27.78 spl0_523 <=> between(w1,u,reflection(u,u))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f9604,plain,(
% 217.50/27.78 ~between(w1,u,reflection(u,u))|spl0_523),
% 217.50/27.78 inference(component_clause,[status(thm)],[f9602])).
% 217.50/27.78 fof(f9612,plain,(
% 217.50/27.78 ~between(w1,u,u)|spl0_523),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f160,f9604])).
% 217.50/27.78 fof(f9613,plain,(
% 217.50/27.78 $false|spl0_523),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f9612,f122])).
% 217.50/27.78 fof(f9614,plain,(
% 217.50/27.78 spl0_523),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f9613])).
% 217.50/27.78 fof(f9615,plain,(
% 217.50/27.78 ~between(w,u,u)|spl0_522),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f160,f9595])).
% 217.50/27.78 fof(f9616,plain,(
% 217.50/27.78 $false|spl0_522),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f9615,f122])).
% 217.50/27.78 fof(f9617,plain,(
% 217.50/27.78 spl0_522),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f9616])).
% 217.50/27.78 fof(f9618,plain,(
% 217.50/27.78 $false|spl0_239),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f4168,f122])).
% 217.50/27.78 fof(f9619,plain,(
% 217.50/27.78 spl0_239),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f9618])).
% 217.50/27.78 fof(f9653,plain,(
% 217.50/27.78 spl0_524 <=> between(v,u,reflection(u,u))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f9655,plain,(
% 217.50/27.78 ~between(v,u,reflection(u,u))|spl0_524),
% 217.50/27.78 inference(component_clause,[status(thm)],[f9653])).
% 217.50/27.78 fof(f9670,plain,(
% 217.50/27.78 ~between(v,u,u)|spl0_524),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f160,f9655])).
% 217.50/27.78 fof(f9671,plain,(
% 217.50/27.78 $false|spl0_524),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f9670,f122])).
% 217.50/27.78 fof(f9672,plain,(
% 217.50/27.78 spl0_524),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f9671])).
% 217.50/27.78 fof(f9737,plain,(
% 217.50/27.78 spl0_532 <=> ~between(X0,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|~between(X0,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|X0=lower_dimension_point_1),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f9738,plain,(
% 217.50/27.78 ![X0]: (~between(X0,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|~between(X0,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|X0=lower_dimension_point_1|~spl0_532)),
% 217.50/27.78 inference(component_clause,[status(thm)],[f9737])).
% 217.50/27.78 fof(f9745,plain,(
% 217.50/27.78 ![X0]: (~between(X0,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|X0=lower_dimension_point_1|~spl0_532)),
% 217.50/27.78 inference(duplicate_literals_removal,[status(esa)],[f9738])).
% 217.50/27.78 fof(f9848,plain,(
% 217.50/27.78 spl0_544 <=> between(reflection(u,w),reflection(u,w),w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f9850,plain,(
% 217.50/27.78 ~between(reflection(u,w),reflection(u,w),w1)|spl0_544),
% 217.50/27.78 inference(component_clause,[status(thm)],[f9848])).
% 217.50/27.78 fof(f9851,plain,(
% 217.50/27.78 spl0_545 <=> between(w1,w1,reflection(u,w))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f9853,plain,(
% 217.50/27.78 ~between(w1,w1,reflection(u,w))|spl0_545),
% 217.50/27.78 inference(component_clause,[status(thm)],[f9851])).
% 217.50/27.78 fof(f9887,plain,(
% 217.50/27.78 $false|spl0_545),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f9853,f126])).
% 217.50/27.78 fof(f9888,plain,(
% 217.50/27.78 spl0_545),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f9887])).
% 217.50/27.78 fof(f9889,plain,(
% 217.50/27.78 $false|spl0_544),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f9850,f126])).
% 217.50/27.78 fof(f9890,plain,(
% 217.50/27.78 spl0_544),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f9889])).
% 217.50/27.78 fof(f10287,plain,(
% 217.50/27.78 spl0_586 <=> between(reflection(w,v),reflection(w,v),w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f10289,plain,(
% 217.50/27.78 ~between(reflection(w,v),reflection(w,v),w1)|spl0_586),
% 217.50/27.78 inference(component_clause,[status(thm)],[f10287])).
% 217.50/27.78 fof(f10323,plain,(
% 217.50/27.78 $false|spl0_586),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f10289,f126])).
% 217.50/27.78 fof(f10324,plain,(
% 217.50/27.78 spl0_586),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f10323])).
% 217.50/27.78 fof(f10480,plain,(
% 217.50/27.78 spl0_603 <=> equidistant(v,reflection(w,v),v,w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f10482,plain,(
% 217.50/27.78 ~equidistant(v,reflection(w,v),v,w1)|spl0_603),
% 217.50/27.78 inference(component_clause,[status(thm)],[f10480])).
% 217.50/27.78 fof(f10809,plain,(
% 217.50/27.78 spl0_636 <=> between(w1,w1,reflection(v,w))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f10811,plain,(
% 217.50/27.78 ~between(w1,w1,reflection(v,w))|spl0_636),
% 217.50/27.78 inference(component_clause,[status(thm)],[f10809])).
% 217.50/27.78 fof(f10842,plain,(
% 217.50/27.78 $false|spl0_636),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f10811,f126])).
% 217.50/27.78 fof(f10843,plain,(
% 217.50/27.78 spl0_636),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f10842])).
% 217.50/27.78 fof(f11519,plain,(
% 217.50/27.78 $false|spl0_110),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f1129,f111])).
% 217.50/27.78 fof(f11520,plain,(
% 217.50/27.78 spl0_110),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f11519])).
% 217.50/27.78 fof(f11521,plain,(
% 217.50/27.78 $false|spl0_291),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f5009,f122])).
% 217.50/27.78 fof(f11522,plain,(
% 217.50/27.78 spl0_291),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f11521])).
% 217.50/27.78 fof(f11994,plain,(
% 217.50/27.78 spl0_763 <=> between(reflection(v,w),reflection(v,w),v)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f11996,plain,(
% 217.50/27.78 ~between(reflection(v,w),reflection(v,w),v)|spl0_763),
% 217.50/27.78 inference(component_clause,[status(thm)],[f11994])).
% 217.50/27.78 fof(f11997,plain,(
% 217.50/27.78 spl0_764 <=> between(v,v,reflection(v,w))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f11999,plain,(
% 217.50/27.78 ~between(v,v,reflection(v,w))|spl0_764),
% 217.50/27.78 inference(component_clause,[status(thm)],[f11997])).
% 217.50/27.78 fof(f12030,plain,(
% 217.50/27.78 $false|spl0_764),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f11999,f126])).
% 217.50/27.78 fof(f12031,plain,(
% 217.50/27.78 spl0_764),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f12030])).
% 217.50/27.78 fof(f12032,plain,(
% 217.50/27.78 $false|spl0_763),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f11996,f126])).
% 217.50/27.78 fof(f12033,plain,(
% 217.50/27.78 spl0_763),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f12032])).
% 217.50/27.78 fof(f12184,plain,(
% 217.50/27.78 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,reflection(X3,X2)),X2,X3))),
% 217.50/27.78 inference(resolution,[status(thm)],[f6106,f97])).
% 217.50/27.78 fof(f12604,plain,(
% 217.50/27.78 spl0_803 <=> equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,X3)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f12605,plain,(
% 217.50/27.78 ![X0,X1,X2]: (equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X2,X2)|~spl0_803)),
% 217.50/27.78 inference(component_clause,[status(thm)],[f12604])).
% 217.50/27.78 fof(f12665,plain,(
% 217.50/27.78 spl0_807 <=> between(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f12667,plain,(
% 217.50/27.78 ~between(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)|spl0_807),
% 217.50/27.78 inference(component_clause,[status(thm)],[f12665])).
% 217.50/27.78 fof(f12684,plain,(
% 217.50/27.78 $false|spl0_807),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f12667,f126])).
% 217.50/27.78 fof(f12685,plain,(
% 217.50/27.78 spl0_807),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f12684])).
% 217.50/27.78 fof(f12869,plain,(
% 217.50/27.78 equidistant(u,reflection(w,u),u,w1)),
% 217.50/27.78 inference(resolution,[status(thm)],[f3120,f1261])).
% 217.50/27.78 fof(f12934,plain,(
% 217.50/27.78 spl0_827 <=> equidistant(w1,u,reflection(w,u),u)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f12936,plain,(
% 217.50/27.78 ~equidistant(w1,u,reflection(w,u),u)|spl0_827),
% 217.50/27.78 inference(component_clause,[status(thm)],[f12934])).
% 217.50/27.78 fof(f12945,plain,(
% 217.50/27.78 spl0_830 <=> equidistant(u,reflection(w,u),u,w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f12947,plain,(
% 217.50/27.78 ~equidistant(u,reflection(w,u),u,w1)|spl0_830),
% 217.50/27.78 inference(component_clause,[status(thm)],[f12945])).
% 217.50/27.78 fof(f12951,plain,(
% 217.50/27.78 spl0_831 <=> equidistant(u,w1,u,reflection(w,u))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f12953,plain,(
% 217.50/27.78 ~equidistant(u,w1,u,reflection(w,u))|spl0_831),
% 217.50/27.78 inference(component_clause,[status(thm)],[f12951])).
% 217.50/27.78 fof(f12981,plain,(
% 217.50/27.78 spl0_836 <=> between(w1,w1,reflection(w,u))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f12983,plain,(
% 217.50/27.78 ~between(w1,w1,reflection(w,u))|spl0_836),
% 217.50/27.78 inference(component_clause,[status(thm)],[f12981])).
% 217.50/27.78 fof(f12984,plain,(
% 217.50/27.78 spl0_837 <=> between(reflection(w,u),reflection(w,u),w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f12986,plain,(
% 217.50/27.78 ~between(reflection(w,u),reflection(w,u),w1)|spl0_837),
% 217.50/27.78 inference(component_clause,[status(thm)],[f12984])).
% 217.50/27.78 fof(f13006,plain,(
% 217.50/27.78 equidistant(u,w1,u,reflection(w,u))),
% 217.50/27.78 inference(resolution,[status(thm)],[f3614,f97])).
% 217.50/27.78 fof(f13020,plain,(
% 217.50/27.78 $false|spl0_827),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f12936,f3614])).
% 217.50/27.78 fof(f13021,plain,(
% 217.50/27.78 spl0_827),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f13020])).
% 217.50/27.78 fof(f13022,plain,(
% 217.50/27.78 $false|spl0_837),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f12986,f126])).
% 217.50/27.78 fof(f13023,plain,(
% 217.50/27.78 spl0_837),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f13022])).
% 217.50/27.78 fof(f13024,plain,(
% 217.50/27.78 $false|spl0_836),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f12983,f126])).
% 217.50/27.78 fof(f13025,plain,(
% 217.50/27.78 spl0_836),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f13024])).
% 217.50/27.78 fof(f13026,plain,(
% 217.50/27.78 $false|spl0_221),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f3712,f111])).
% 217.50/27.78 fof(f13027,plain,(
% 217.50/27.78 spl0_221),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f13026])).
% 217.50/27.78 fof(f13555,plain,(
% 217.50/27.78 spl0_874 <=> between(w,u,reflection(w,u))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f13557,plain,(
% 217.50/27.78 ~between(w,u,reflection(w,u))|spl0_874),
% 217.50/27.78 inference(component_clause,[status(thm)],[f13555])).
% 217.50/27.78 fof(f13646,plain,(
% 217.50/27.78 $false|spl0_874),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f13557,f106])).
% 217.50/27.78 fof(f13647,plain,(
% 217.50/27.78 spl0_874),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f13646])).
% 217.50/27.78 fof(f15197,plain,(
% 217.50/27.78 spl0_937 <=> between(w,v,reflection(w,u))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f15199,plain,(
% 217.50/27.78 ~between(w,v,reflection(w,u))|spl0_937),
% 217.50/27.78 inference(component_clause,[status(thm)],[f15197])).
% 217.50/27.78 fof(f15291,plain,(
% 217.50/27.78 $false|spl0_937),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f15199,f6553])).
% 217.50/27.78 fof(f15292,plain,(
% 217.50/27.78 spl0_937),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f15291])).
% 217.50/27.78 fof(f16132,plain,(
% 217.50/27.78 ![X0,X1]: (X0=extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2)|~spl0_803)),
% 217.50/27.78 inference(resolution,[status(thm)],[f12605,f74])).
% 217.50/27.78 fof(f16133,plain,(
% 217.50/27.78 $false|~spl0_803),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f16132,f150])).
% 217.50/27.78 fof(f16134,plain,(
% 217.50/27.78 ~spl0_803),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f16133])).
% 217.50/27.78 fof(f16838,plain,(
% 217.50/27.78 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,reflection(X3,X2)))),
% 217.50/27.78 inference(paramodulation,[status(thm)],[f121,f12184])).
% 217.50/27.78 fof(f17075,plain,(
% 217.50/27.78 $false|spl0_413),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f7462,f6925])).
% 217.50/27.78 fof(f17076,plain,(
% 217.50/27.78 spl0_413),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f17075])).
% 217.50/27.78 fof(f17268,plain,(
% 217.50/27.78 reflection(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)=lower_dimension_point_1|~spl0_532),
% 217.50/27.78 inference(resolution,[status(thm)],[f9745,f173])).
% 217.50/27.78 fof(f17269,plain,(
% 217.50/27.78 lower_dimension_point_2=lower_dimension_point_1|~spl0_532),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f121,f17268])).
% 217.50/27.78 fof(f17270,plain,(
% 217.50/27.78 $false|~spl0_532),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f17269,f147])).
% 217.50/27.78 fof(f17271,plain,(
% 217.50/27.78 ~spl0_532),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f17270])).
% 217.50/27.78 fof(f18297,plain,(
% 217.50/27.78 spl0_1065 <=> between(lower_dimension_point_1,lower_dimension_point_1,v)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f18299,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_1,v)|spl0_1065),
% 217.50/27.78 inference(component_clause,[status(thm)],[f18297])).
% 217.50/27.78 fof(f18316,plain,(
% 217.50/27.78 $false|spl0_1065),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f18299,f126])).
% 217.50/27.78 fof(f18317,plain,(
% 217.50/27.78 spl0_1065),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f18316])).
% 217.50/27.78 fof(f19032,plain,(
% 217.50/27.78 spl0_1077 <=> between(lower_dimension_point_1,lower_dimension_point_1,u)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f19034,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_1,u)|spl0_1077),
% 217.50/27.78 inference(component_clause,[status(thm)],[f19032])).
% 217.50/27.78 fof(f19051,plain,(
% 217.50/27.78 $false|spl0_1077),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f19034,f126])).
% 217.50/27.78 fof(f19052,plain,(
% 217.50/27.78 spl0_1077),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f19051])).
% 217.50/27.78 fof(f20038,plain,(
% 217.50/27.78 $false|spl0_235),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f4128,f122])).
% 217.50/27.78 fof(f20039,plain,(
% 217.50/27.78 spl0_235),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f20038])).
% 217.50/27.78 fof(f20601,plain,(
% 217.50/27.78 spl0_1135 <=> between(reflection(w,u),w1,w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f20603,plain,(
% 217.50/27.78 ~between(reflection(w,u),w1,w1)|spl0_1135),
% 217.50/27.78 inference(component_clause,[status(thm)],[f20601])).
% 217.50/27.78 fof(f20652,plain,(
% 217.50/27.78 spl0_1141 <=> between(w,w,reflection(w,u))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f20654,plain,(
% 217.50/27.78 ~between(w,w,reflection(w,u))|spl0_1141),
% 217.50/27.78 inference(component_clause,[status(thm)],[f20652])).
% 217.50/27.78 fof(f20666,plain,(
% 217.50/27.78 $false|spl0_1141),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f20654,f126])).
% 217.50/27.78 fof(f20667,plain,(
% 217.50/27.78 spl0_1141),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f20666])).
% 217.50/27.78 fof(f20668,plain,(
% 217.50/27.78 $false|spl0_1135),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f20603,f122])).
% 217.50/27.78 fof(f20669,plain,(
% 217.50/27.78 spl0_1135),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f20668])).
% 217.50/27.78 fof(f20682,plain,(
% 217.50/27.78 spl0_1144 <=> between(w,w1,w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f20684,plain,(
% 217.50/27.78 ~between(w,w1,w1)|spl0_1144),
% 217.50/27.78 inference(component_clause,[status(thm)],[f20682])).
% 217.50/27.78 fof(f20735,plain,(
% 217.50/27.78 spl0_1150 <=> between(reflection(w,u),reflection(w,u),w)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f20737,plain,(
% 217.50/27.78 ~between(reflection(w,u),reflection(w,u),w)|spl0_1150),
% 217.50/27.78 inference(component_clause,[status(thm)],[f20735])).
% 217.50/27.78 fof(f20749,plain,(
% 217.50/27.78 $false|spl0_1150),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f20737,f126])).
% 217.50/27.78 fof(f20750,plain,(
% 217.50/27.78 spl0_1150),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f20749])).
% 217.50/27.78 fof(f20751,plain,(
% 217.50/27.78 $false|spl0_1144),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f20684,f122])).
% 217.50/27.78 fof(f20752,plain,(
% 217.50/27.78 spl0_1144),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f20751])).
% 217.50/27.78 fof(f20802,plain,(
% 217.50/27.78 spl0_1161 <=> between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f20804,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1)|spl0_1161),
% 217.50/27.78 inference(component_clause,[status(thm)],[f20802])).
% 217.50/27.78 fof(f21282,plain,(
% 217.50/27.78 spl0_1204 <=> between(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),v)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f21284,plain,(
% 217.50/27.78 ~between(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),v)|spl0_1204),
% 217.50/27.78 inference(component_clause,[status(thm)],[f21282])).
% 217.50/27.78 fof(f21285,plain,(
% 217.50/27.78 spl0_1205 <=> between(v,v,reflection(lower_dimension_point_2,lower_dimension_point_1))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f21287,plain,(
% 217.50/27.78 ~between(v,v,reflection(lower_dimension_point_2,lower_dimension_point_1))|spl0_1205),
% 217.50/27.78 inference(component_clause,[status(thm)],[f21285])).
% 217.50/27.78 fof(f21324,plain,(
% 217.50/27.78 $false|spl0_1205),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f21287,f126])).
% 217.50/27.78 fof(f21325,plain,(
% 217.50/27.78 spl0_1205),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f21324])).
% 217.50/27.78 fof(f21326,plain,(
% 217.50/27.78 $false|spl0_1204),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f21284,f126])).
% 217.50/27.78 fof(f21327,plain,(
% 217.50/27.78 spl0_1204),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f21326])).
% 217.50/27.78 fof(f21358,plain,(
% 217.50/27.78 spl0_1211 <=> equidistant(v,v,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f21360,plain,(
% 217.50/27.78 ~equidistant(v,v,reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1))|spl0_1211),
% 217.50/27.78 inference(component_clause,[status(thm)],[f21358])).
% 217.50/27.78 fof(f21394,plain,(
% 217.50/27.78 $false|spl0_1211),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f21360,f111])).
% 217.50/27.78 fof(f21395,plain,(
% 217.50/27.78 spl0_1211),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f21394])).
% 217.50/27.78 fof(f22135,plain,(
% 217.50/27.78 spl0_1226 <=> between(u,u,lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f22137,plain,(
% 217.50/27.78 ~between(u,u,lower_dimension_point_1)|spl0_1226),
% 217.50/27.78 inference(component_clause,[status(thm)],[f22135])).
% 217.50/27.78 fof(f24989,plain,(
% 217.50/27.78 spl0_1268 <=> between(reflection(u,w),w,u)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f24991,plain,(
% 217.50/27.78 ~between(reflection(u,w),w,u)|spl0_1268),
% 217.50/27.78 inference(component_clause,[status(thm)],[f24989])).
% 217.50/27.78 fof(f24994,plain,(
% 217.50/27.78 spl0_1269 <=> between(reflection(w,u),u,u)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f24996,plain,(
% 217.50/27.78 ~between(reflection(w,u),u,u)|spl0_1269),
% 217.50/27.78 inference(component_clause,[status(thm)],[f24994])).
% 217.50/27.78 fof(f25005,plain,(
% 217.50/27.78 spl0_1270 <=> between(reflection(w,v),v,v)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f25007,plain,(
% 217.50/27.78 ~between(reflection(w,v),v,v)|spl0_1270),
% 217.50/27.78 inference(component_clause,[status(thm)],[f25005])).
% 217.50/27.78 fof(f25010,plain,(
% 217.50/27.78 spl0_1271 <=> between(reflection(v,w),w,v)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f25012,plain,(
% 217.50/27.78 ~between(reflection(v,w),w,v)|spl0_1271),
% 217.50/27.78 inference(component_clause,[status(thm)],[f25010])).
% 217.50/27.78 fof(f25157,plain,(
% 217.50/27.78 $false|spl0_1268),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f24991,f173])).
% 217.50/27.78 fof(f25158,plain,(
% 217.50/27.78 spl0_1268),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25157])).
% 217.50/27.78 fof(f25159,plain,(
% 217.50/27.78 $false|spl0_1270),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f25007,f122])).
% 217.50/27.78 fof(f25160,plain,(
% 217.50/27.78 spl0_1270),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25159])).
% 217.50/27.78 fof(f25161,plain,(
% 217.50/27.78 $false|spl0_1271),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f25012,f173])).
% 217.50/27.78 fof(f25162,plain,(
% 217.50/27.78 spl0_1271),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25161])).
% 217.50/27.78 fof(f25163,plain,(
% 217.50/27.78 $false|spl0_1269),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f24996,f122])).
% 217.50/27.78 fof(f25164,plain,(
% 217.50/27.78 spl0_1269),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25163])).
% 217.50/27.78 fof(f25165,plain,(
% 217.50/27.78 $false|spl0_831),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f12953,f13006])).
% 217.50/27.78 fof(f25166,plain,(
% 217.50/27.78 spl0_831),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25165])).
% 217.50/27.78 fof(f25169,plain,(
% 217.50/27.78 $false|spl0_603),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f10482,f4488])).
% 217.50/27.78 fof(f25170,plain,(
% 217.50/27.78 spl0_603),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25169])).
% 217.50/27.78 fof(f25171,plain,(
% 217.50/27.78 $false|spl0_830),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f12947,f12869])).
% 217.50/27.78 fof(f25172,plain,(
% 217.50/27.78 spl0_830),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25171])).
% 217.50/27.78 fof(f25281,plain,(
% 217.50/27.78 spl0_1283 <=> between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f25283,plain,(
% 217.50/27.78 ~between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)|spl0_1283),
% 217.50/27.78 inference(component_clause,[status(thm)],[f25281])).
% 217.50/27.78 fof(f25289,plain,(
% 217.50/27.78 $false|spl0_1283),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f25283,f126])).
% 217.50/27.78 fof(f25290,plain,(
% 217.50/27.78 spl0_1283),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25289])).
% 217.50/27.78 fof(f25291,plain,(
% 217.50/27.78 $false|spl0_1226),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f22137,f126])).
% 217.50/27.78 fof(f25292,plain,(
% 217.50/27.78 spl0_1226),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25291])).
% 217.50/27.78 fof(f25293,plain,(
% 217.50/27.78 $false|spl0_1161),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f20804,f126])).
% 217.50/27.78 fof(f25294,plain,(
% 217.50/27.78 spl0_1161),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25293])).
% 217.50/27.78 fof(f25323,plain,(
% 217.50/27.78 spl0_1292 <=> equidistant(u,u,lower_dimension_point_2,lower_dimension_point_2)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f25325,plain,(
% 217.50/27.78 ~equidistant(u,u,lower_dimension_point_2,lower_dimension_point_2)|spl0_1292),
% 217.50/27.78 inference(component_clause,[status(thm)],[f25323])).
% 217.50/27.78 fof(f25395,plain,(
% 217.50/27.78 spl0_1301 <=> between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f25397,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)|spl0_1301),
% 217.50/27.78 inference(component_clause,[status(thm)],[f25395])).
% 217.50/27.78 fof(f25408,plain,(
% 217.50/27.78 $false|spl0_1301),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f25397,f126])).
% 217.50/27.78 fof(f25409,plain,(
% 217.50/27.78 spl0_1301),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25408])).
% 217.50/27.78 fof(f25568,plain,(
% 217.50/27.78 spl0_1320 <=> between(u,u,lower_dimension_point_2)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f25570,plain,(
% 217.50/27.78 ~between(u,u,lower_dimension_point_2)|spl0_1320),
% 217.50/27.78 inference(component_clause,[status(thm)],[f25568])).
% 217.50/27.78 fof(f25571,plain,(
% 217.50/27.78 spl0_1321 <=> between(lower_dimension_point_2,lower_dimension_point_2,u)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f25573,plain,(
% 217.50/27.78 ~between(lower_dimension_point_2,lower_dimension_point_2,u)|spl0_1321),
% 217.50/27.78 inference(component_clause,[status(thm)],[f25571])).
% 217.50/27.78 fof(f25610,plain,(
% 217.50/27.78 $false|spl0_1321),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f25573,f126])).
% 217.50/27.78 fof(f25611,plain,(
% 217.50/27.78 spl0_1321),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25610])).
% 217.50/27.78 fof(f25612,plain,(
% 217.50/27.78 $false|spl0_1320),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f25570,f126])).
% 217.50/27.78 fof(f25613,plain,(
% 217.50/27.78 spl0_1320),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25612])).
% 217.50/27.78 fof(f25648,plain,(
% 217.50/27.78 spl0_1327 <=> equidistant(lower_dimension_point_2,lower_dimension_point_2,u,u)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f25650,plain,(
% 217.50/27.78 ~equidistant(lower_dimension_point_2,lower_dimension_point_2,u,u)|spl0_1327),
% 217.50/27.78 inference(component_clause,[status(thm)],[f25648])).
% 217.50/27.78 fof(f25687,plain,(
% 217.50/27.78 $false|spl0_1327),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f25650,f111])).
% 217.50/27.78 fof(f25688,plain,(
% 217.50/27.78 spl0_1327),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f25687])).
% 217.50/27.78 fof(f25941,plain,(
% 217.50/27.78 spl0_1351 <=> between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f25943,plain,(
% 217.50/27.78 ~between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)|spl0_1351),
% 217.50/27.78 inference(component_clause,[status(thm)],[f25941])).
% 217.50/27.78 fof(f26085,plain,(
% 217.50/27.78 spl0_1373 <=> between(w1,w1,lower_dimension_point_2)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f26087,plain,(
% 217.50/27.78 ~between(w1,w1,lower_dimension_point_2)|spl0_1373),
% 217.50/27.78 inference(component_clause,[status(thm)],[f26085])).
% 217.50/27.78 fof(f26098,plain,(
% 217.50/27.78 $false|spl0_1373),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f26087,f126])).
% 217.50/27.78 fof(f26099,plain,(
% 217.50/27.78 spl0_1373),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f26098])).
% 217.50/27.78 fof(f27481,plain,(
% 217.50/27.78 ![X0,X1,X2]: (~equidistant(X0,X0,X1,X2)|X1=reflection(X2,X1)|X2=X1|X2=X1)),
% 217.50/27.78 inference(paramodulation,[status(thm)],[f4668,f4698])).
% 217.50/27.78 fof(f27482,plain,(
% 217.50/27.78 ![X0,X1,X2]: (~equidistant(X0,X0,X1,X2)|X1=reflection(X2,X1)|X2=X1)),
% 217.50/27.78 inference(duplicate_literals_removal,[status(esa)],[f27481])).
% 217.50/27.78 fof(f27483,plain,(
% 217.50/27.78 ![X0,X1,X2]: (~equidistant(X0,X0,X1,X2)|X2=X1)),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f27482,f110])).
% 217.50/27.78 fof(f27486,plain,(
% 217.50/27.78 spl0_1378 <=> ~equidistant(X0,X0,X1,X1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f27487,plain,(
% 217.50/27.78 ![X0,X1]: (~equidistant(X0,X0,X1,X1)|~spl0_1378)),
% 217.50/27.78 inference(component_clause,[status(thm)],[f27486])).
% 217.50/27.78 fof(f27494,plain,(
% 217.50/27.78 $false|~spl0_1378),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f27487,f111])).
% 217.50/27.78 fof(f27495,plain,(
% 217.50/27.78 ~spl0_1378),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f27494])).
% 217.50/27.78 fof(f27609,plain,(
% 217.50/27.78 spl0_1393 <=> between(lower_dimension_point_2,lower_dimension_point_2,w)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f27611,plain,(
% 217.50/27.78 ~between(lower_dimension_point_2,lower_dimension_point_2,w)|spl0_1393),
% 217.50/27.78 inference(component_clause,[status(thm)],[f27609])).
% 217.50/27.78 fof(f27622,plain,(
% 217.50/27.78 $false|spl0_1393),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f27611,f126])).
% 217.50/27.78 fof(f27623,plain,(
% 217.50/27.78 spl0_1393),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f27622])).
% 217.50/27.78 fof(f28162,plain,(
% 217.50/27.78 spl0_1399 <=> between(v,v,lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f28164,plain,(
% 217.50/27.78 ~between(v,v,lower_dimension_point_1)|spl0_1399),
% 217.50/27.78 inference(component_clause,[status(thm)],[f28162])).
% 217.50/27.78 fof(f28197,plain,(
% 217.50/27.78 $false|spl0_1399),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f28164,f126])).
% 217.50/27.78 fof(f28198,plain,(
% 217.50/27.78 spl0_1399),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f28197])).
% 217.50/27.78 fof(f31805,plain,(
% 217.50/27.78 $false|spl0_72),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f786,f111])).
% 217.50/27.78 fof(f31806,plain,(
% 217.50/27.78 spl0_72),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f31805])).
% 217.50/27.78 fof(f31807,plain,(
% 217.50/27.78 $false|spl0_1292),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f25325,f111])).
% 217.50/27.78 fof(f31808,plain,(
% 217.50/27.78 spl0_1292),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f31807])).
% 217.50/27.78 fof(f32746,plain,(
% 217.50/27.78 spl0_1503 <=> between(w,w,lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f32748,plain,(
% 217.50/27.78 ~between(w,w,lower_dimension_point_1)|spl0_1503),
% 217.50/27.78 inference(component_clause,[status(thm)],[f32746])).
% 217.50/27.78 fof(f32764,plain,(
% 217.50/27.78 spl0_1505 <=> between(w1,w1,lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f32766,plain,(
% 217.50/27.78 ~between(w1,w1,lower_dimension_point_1)|spl0_1505),
% 217.50/27.78 inference(component_clause,[status(thm)],[f32764])).
% 217.50/27.78 fof(f32784,plain,(
% 217.50/27.78 $false|spl0_1505),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f32766,f126])).
% 217.50/27.78 fof(f32785,plain,(
% 217.50/27.78 spl0_1505),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f32784])).
% 217.50/27.78 fof(f32786,plain,(
% 217.50/27.78 $false|spl0_1503),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f32748,f126])).
% 217.50/27.78 fof(f32787,plain,(
% 217.50/27.78 spl0_1503),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f32786])).
% 217.50/27.78 fof(f32934,plain,(
% 217.50/27.78 spl0_1522 <=> extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_1),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f32935,plain,(
% 217.50/27.78 extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_1|~spl0_1522),
% 217.50/27.78 inference(component_clause,[status(thm)],[f32934])).
% 217.50/27.78 fof(f32954,plain,(
% 217.50/27.78 $false|~spl0_1522),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f32935,f150])).
% 217.50/27.78 fof(f32955,plain,(
% 217.50/27.78 ~spl0_1522),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f32954])).
% 217.50/27.78 fof(f33667,plain,(
% 217.50/27.78 spl0_1531 <=> between(reflection(lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f33669,plain,(
% 217.50/27.78 ~between(reflection(lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_2)|spl0_1531),
% 217.50/27.78 inference(component_clause,[status(thm)],[f33667])).
% 217.50/27.78 fof(f33672,plain,(
% 217.50/27.78 spl0_1532 <=> between(lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_1))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f33674,plain,(
% 217.50/27.78 ~between(lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_1))|spl0_1532),
% 217.50/27.78 inference(component_clause,[status(thm)],[f33672])).
% 217.50/27.78 fof(f33677,plain,(
% 217.50/27.78 spl0_1533 <=> lower_dimension_point_2=reflection(lower_dimension_point_1,lower_dimension_point_2)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f33678,plain,(
% 217.50/27.78 lower_dimension_point_2=reflection(lower_dimension_point_1,lower_dimension_point_2)|~spl0_1533),
% 217.50/27.78 inference(component_clause,[status(thm)],[f33677])).
% 217.50/27.78 fof(f33743,plain,(
% 217.50/27.78 ~between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)|spl0_1532),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f160,f33674])).
% 217.50/27.78 fof(f33744,plain,(
% 217.50/27.78 $false|spl0_1532),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f33743,f122])).
% 217.50/27.78 fof(f33745,plain,(
% 217.50/27.78 spl0_1532),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f33744])).
% 217.50/27.78 fof(f33746,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)|spl0_1531),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f160,f33669])).
% 217.50/27.78 fof(f33747,plain,(
% 217.50/27.78 $false|spl0_1531),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f33746,f126])).
% 217.50/27.78 fof(f33748,plain,(
% 217.50/27.78 spl0_1531),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f33747])).
% 217.50/27.78 fof(f33749,plain,(
% 217.50/27.78 $false|spl0_1351),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f25943,f122])).
% 217.50/27.78 fof(f33750,plain,(
% 217.50/27.78 spl0_1351),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f33749])).
% 217.50/27.78 fof(f33795,plain,(
% 217.50/27.78 spl0_1539 <=> between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f33797,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)|spl0_1539),
% 217.50/27.78 inference(component_clause,[status(thm)],[f33795])).
% 217.50/27.78 fof(f33807,plain,(
% 217.50/27.78 lower_dimension_point_1=reflection(lower_dimension_point_2,lower_dimension_point_2)|~spl0_1533),
% 217.50/27.78 inference(paramodulation,[status(thm)],[f33678,f121])).
% 217.50/27.78 fof(f33808,plain,(
% 217.50/27.78 lower_dimension_point_1=lower_dimension_point_2|~spl0_1533),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f160,f33807])).
% 217.50/27.78 fof(f33809,plain,(
% 217.50/27.78 $false|~spl0_1533),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f33808,f147])).
% 217.50/27.78 fof(f33810,plain,(
% 217.50/27.78 ~spl0_1533),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f33809])).
% 217.50/27.78 fof(f34078,plain,(
% 217.50/27.78 spl0_1553 <=> between(reflection(lower_dimension_point_2,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f34080,plain,(
% 217.50/27.78 ~between(reflection(lower_dimension_point_2,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_1)|spl0_1553),
% 217.50/27.78 inference(component_clause,[status(thm)],[f34078])).
% 217.50/27.78 fof(f34083,plain,(
% 217.50/27.78 spl0_1554 <=> between(lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_2))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f34085,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_2))|spl0_1554),
% 217.50/27.78 inference(component_clause,[status(thm)],[f34083])).
% 217.50/27.78 fof(f34143,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)|spl0_1554),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f160,f34085])).
% 217.50/27.78 fof(f34144,plain,(
% 217.50/27.78 $false|spl0_1554),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f34143,f122])).
% 217.50/27.78 fof(f34145,plain,(
% 217.50/27.78 spl0_1554),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f34144])).
% 217.50/27.78 fof(f34146,plain,(
% 217.50/27.78 ~between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)|spl0_1553),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f160,f34080])).
% 217.50/27.78 fof(f34147,plain,(
% 217.50/27.78 $false|spl0_1553),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f34146,f126])).
% 217.50/27.78 fof(f34148,plain,(
% 217.50/27.78 spl0_1553),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f34147])).
% 217.50/27.78 fof(f34149,plain,(
% 217.50/27.78 $false|spl0_1539),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f33797,f122])).
% 217.50/27.78 fof(f34150,plain,(
% 217.50/27.78 spl0_1539),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f34149])).
% 217.50/27.78 fof(f36289,plain,(
% 217.50/27.78 spl0_1606 <=> w1=reflection(w,w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f36290,plain,(
% 217.50/27.78 w1=reflection(w,w1)|~spl0_1606),
% 217.50/27.78 inference(component_clause,[status(thm)],[f36289])).
% 217.50/27.78 fof(f36396,plain,(
% 217.50/27.78 w=reflection(w1,w1)|~spl0_1606),
% 217.50/27.78 inference(paramodulation,[status(thm)],[f36290,f121])).
% 217.50/27.78 fof(f36397,plain,(
% 217.50/27.78 w=w1|~spl0_1606),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f160,f36396])).
% 217.50/27.78 fof(f36398,plain,(
% 217.50/27.78 $false|~spl0_1606),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f36397,f158])).
% 217.50/27.78 fof(f36399,plain,(
% 217.50/27.78 ~spl0_1606),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f36398])).
% 217.50/27.78 fof(f36415,plain,(
% 217.50/27.78 spl0_1614 <=> equidistant(w1,u,w1,u)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f36417,plain,(
% 217.50/27.78 ~equidistant(w1,u,w1,u)|spl0_1614),
% 217.50/27.78 inference(component_clause,[status(thm)],[f36415])).
% 217.50/27.78 fof(f36423,plain,(
% 217.50/27.78 spl0_1616 <=> equidistant(w1,v,w1,v)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f36425,plain,(
% 217.50/27.78 ~equidistant(w1,v,w1,v)|spl0_1616),
% 217.50/27.78 inference(component_clause,[status(thm)],[f36423])).
% 217.50/27.78 fof(f36437,plain,(
% 217.50/27.78 spl0_1618 <=> equidistant(w1,w1,w1,w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f36439,plain,(
% 217.50/27.78 ~equidistant(w1,w1,w1,w1)|spl0_1618),
% 217.50/27.78 inference(component_clause,[status(thm)],[f36437])).
% 217.50/27.78 fof(f36485,plain,(
% 217.50/27.78 $false|spl0_1618),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f36439,f111])).
% 217.50/27.78 fof(f36486,plain,(
% 217.50/27.78 spl0_1618),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f36485])).
% 217.50/27.78 fof(f36487,plain,(
% 217.50/27.78 $false|spl0_1616),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f36425,f93])).
% 217.50/27.78 fof(f36488,plain,(
% 217.50/27.78 spl0_1616),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f36487])).
% 217.50/27.78 fof(f36489,plain,(
% 217.50/27.78 $false|spl0_1614),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f36417,f93])).
% 217.50/27.78 fof(f36490,plain,(
% 217.50/27.78 spl0_1614),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f36489])).
% 217.50/27.78 fof(f36606,plain,(
% 217.50/27.78 spl0_1624 <=> extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)=X2),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f36607,plain,(
% 217.50/27.78 ![X0,X1]: (extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)=X1|~spl0_1624)),
% 217.50/27.78 inference(component_clause,[status(thm)],[f36606])).
% 217.50/27.78 fof(f36628,plain,(
% 217.50/27.78 $false|~spl0_1624),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f36607,f150])).
% 217.50/27.78 fof(f36629,plain,(
% 217.50/27.78 ~spl0_1624),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f36628])).
% 217.50/27.78 fof(f38563,plain,(
% 217.50/27.78 spl0_1678 <=> between(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f38565,plain,(
% 217.50/27.78 ~between(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),w1)|spl0_1678),
% 217.50/27.78 inference(component_clause,[status(thm)],[f38563])).
% 217.50/27.78 fof(f38590,plain,(
% 217.50/27.78 $false|spl0_1678),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f38565,f126])).
% 217.50/27.78 fof(f38591,plain,(
% 217.50/27.78 spl0_1678),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f38590])).
% 217.50/27.78 fof(f38594,plain,(
% 217.50/27.78 spl0_1680 <=> between(w,w,reflection(lower_dimension_point_2,lower_dimension_point_1))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f38596,plain,(
% 217.50/27.78 ~between(w,w,reflection(lower_dimension_point_2,lower_dimension_point_1))|spl0_1680),
% 217.50/27.78 inference(component_clause,[status(thm)],[f38594])).
% 217.50/27.78 fof(f38621,plain,(
% 217.50/27.78 $false|spl0_1680),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f38596,f126])).
% 217.50/27.78 fof(f38622,plain,(
% 217.50/27.78 spl0_1680),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f38621])).
% 217.50/27.78 fof(f39403,plain,(
% 217.50/27.78 spl0_1698 <=> equidistant(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f39405,plain,(
% 217.50/27.78 ~equidistant(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)|spl0_1698),
% 217.50/27.78 inference(component_clause,[status(thm)],[f39403])).
% 217.50/27.78 fof(f39406,plain,(
% 217.50/27.78 spl0_1699 <=> between(lower_dimension_point_1,lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f39408,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_1,reflection(lower_dimension_point_1,lower_dimension_point_2))|spl0_1699),
% 217.50/27.78 inference(component_clause,[status(thm)],[f39406])).
% 217.50/27.78 fof(f39439,plain,(
% 217.50/27.78 $false|spl0_1699),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f39408,f126])).
% 217.50/27.78 fof(f39440,plain,(
% 217.50/27.78 spl0_1699),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f39439])).
% 217.50/27.78 fof(f39441,plain,(
% 217.50/27.78 $false|spl0_1698),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f39405,f111])).
% 217.50/27.78 fof(f39442,plain,(
% 217.50/27.78 spl0_1698),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f39441])).
% 217.50/27.78 fof(f40161,plain,(
% 217.50/27.78 spl0_1754 <=> ~equidistant(X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f40162,plain,(
% 217.50/27.78 ![X0,X1]: (~equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|~spl0_1754)),
% 217.50/27.78 inference(component_clause,[status(thm)],[f40161])).
% 217.50/27.78 fof(f40184,plain,(
% 217.50/27.78 $false|~spl0_1754),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f40162,f16838])).
% 217.50/27.78 fof(f40185,plain,(
% 217.50/27.78 ~spl0_1754),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f40184])).
% 217.50/27.78 fof(f40710,plain,(
% 217.50/27.78 spl0_1806 <=> between(lower_dimension_point_1,lower_dimension_point_1,w1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f40712,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_1,w1)|spl0_1806),
% 217.50/27.78 inference(component_clause,[status(thm)],[f40710])).
% 217.50/27.78 fof(f40737,plain,(
% 217.50/27.78 $false|spl0_1806),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f40712,f126])).
% 217.50/27.78 fof(f40738,plain,(
% 217.50/27.78 spl0_1806),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f40737])).
% 217.50/27.78 fof(f41830,plain,(
% 217.50/27.78 spl0_1828 <=> between(lower_dimension_point_1,lower_dimension_point_1,w)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f41832,plain,(
% 217.50/27.78 ~between(lower_dimension_point_1,lower_dimension_point_1,w)|spl0_1828),
% 217.50/27.78 inference(component_clause,[status(thm)],[f41830])).
% 217.50/27.78 fof(f41857,plain,(
% 217.50/27.78 $false|spl0_1828),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f41832,f126])).
% 217.50/27.78 fof(f41858,plain,(
% 217.50/27.78 spl0_1828),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f41857])).
% 217.50/27.78 fof(f42340,plain,(
% 217.50/27.78 spl0_1838 <=> X0=reflection(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f42341,plain,(
% 217.50/27.78 ![X0,X1]: (X0=reflection(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0)|~spl0_1838)),
% 217.50/27.78 inference(component_clause,[status(thm)],[f42340])).
% 217.50/27.78 fof(f42777,plain,(
% 217.50/27.78 spl0_1840 <=> between(w1,w1,reflection(lower_dimension_point_2,lower_dimension_point_1))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f42779,plain,(
% 217.50/27.78 ~between(w1,w1,reflection(lower_dimension_point_2,lower_dimension_point_1))|spl0_1840),
% 217.50/27.78 inference(component_clause,[status(thm)],[f42777])).
% 217.50/27.78 fof(f42804,plain,(
% 217.50/27.78 $false|spl0_1840),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f42779,f126])).
% 217.50/27.78 fof(f42805,plain,(
% 217.50/27.78 spl0_1840),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f42804])).
% 217.50/27.78 fof(f42838,plain,(
% 217.50/27.78 spl0_1843 <=> between(reflection(w,v),reflection(w,v),w)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f42840,plain,(
% 217.50/27.78 ~between(reflection(w,v),reflection(w,v),w)|spl0_1843),
% 217.50/27.78 inference(component_clause,[status(thm)],[f42838])).
% 217.50/27.78 fof(f42871,plain,(
% 217.50/27.78 $false|spl0_1843),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f42840,f126])).
% 217.50/27.78 fof(f42872,plain,(
% 217.50/27.78 spl0_1843),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f42871])).
% 217.50/27.78 fof(f42876,plain,(
% 217.50/27.78 spl0_1845 <=> between(lower_dimension_point_2,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f42878,plain,(
% 217.50/27.78 ~between(lower_dimension_point_2,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))|spl0_1845),
% 217.50/27.78 inference(component_clause,[status(thm)],[f42876])).
% 217.50/27.78 fof(f42906,plain,(
% 217.50/27.78 $false|spl0_1845),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f42878,f126])).
% 217.50/27.78 fof(f42907,plain,(
% 217.50/27.78 spl0_1845),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f42906])).
% 217.50/27.78 fof(f42912,plain,(
% 217.50/27.78 spl0_1848 <=> lower_dimension_point_1=reflection(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f42913,plain,(
% 217.50/27.78 lower_dimension_point_1=reflection(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)|~spl0_1848),
% 217.50/27.78 inference(component_clause,[status(thm)],[f42912])).
% 217.50/27.78 fof(f42917,plain,(
% 217.50/27.78 lower_dimension_point_2=reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)|~spl0_1838),
% 217.50/27.78 inference(paramodulation,[status(thm)],[f92,f42341])).
% 217.50/27.78 fof(f42918,plain,(
% 217.50/27.78 lower_dimension_point_2=lower_dimension_point_1|~spl0_1838),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f121,f42917])).
% 217.50/27.78 fof(f42919,plain,(
% 217.50/27.78 $false|~spl0_1838),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f42918,f147])).
% 217.50/27.78 fof(f42920,plain,(
% 217.50/27.78 ~spl0_1838),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f42919])).
% 217.50/27.78 fof(f42921,plain,(
% 217.50/27.78 lower_dimension_point_1=lower_dimension_point_2|~spl0_1848),
% 217.50/27.78 inference(forward_demodulation,[status(thm)],[f121,f42913])).
% 217.50/27.78 fof(f42922,plain,(
% 217.50/27.78 $false|~spl0_1848),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f42921,f147])).
% 217.50/27.78 fof(f42923,plain,(
% 217.50/27.78 ~spl0_1848),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f42922])).
% 217.50/27.78 fof(f42958,plain,(
% 217.50/27.78 spl0_1850 <=> between(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),w)),
% 217.50/27.78 introduced(split_symbol_definition)).
% 217.50/27.78 fof(f42960,plain,(
% 217.50/27.78 ~between(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),w)|spl0_1850),
% 217.50/27.78 inference(component_clause,[status(thm)],[f42958])).
% 217.50/27.78 fof(f42985,plain,(
% 217.50/27.78 $false|spl0_1850),
% 217.50/27.78 inference(forward_subsumption_resolution,[status(thm)],[f42960,f126])).
% 217.50/27.78 fof(f42986,plain,(
% 217.50/27.78 spl0_1850),
% 217.50/27.78 inference(contradiction_clause,[status(thm)],[f42985])).
% 217.50/27.78 fof(f43081,plain,(
% 217.50/27.78 ~between(u,v,w)|w1=w|~spl0_149),
% 217.50/27.78 inference(resolution,[status(thm)],[f4987,f27483])).
% 217.50/27.78 fof(f43082,plain,(
% 217.50/27.78 ~spl0_258|spl0_53|~spl0_149),
% 217.50/27.78 inference(split_clause,[status(thm)],[f43081,f4394,f624,f2016])).
% 217.50/27.78 fof(f43104,plain,(
% 217.50/27.78 $false),
% 217.50/27.78 inference(sat_refutation,[status(thm)],[f647,f1481,f2020,f2049,f4441,f4554,f4694,f4776,f4811,f4922,f4925,f4927,f4992,f4994,f5235,f5237,f5461,f5555,f5732,f6242,f6244,f6266,f6269,f6353,f6355,f6377,f6380,f6424,f6734,f6736,f7390,f7610,f7615,f7743,f9328,f9330,f9551,f9614,f9617,f9619,f9672,f9888,f9890,f10324,f10843,f11520,f11522,f12031,f12033,f12685,f13021,f13023,f13025,f13027,f13647,f15292,f16134,f17076,f17271,f18317,f19052,f20039,f20667,f20669,f20750,f20752,f21325,f21327,f21395,f25158,f25160,f25162,f25164,f25166,f25170,f25172,f25290,f25292,f25294,f25409,f25611,f25613,f25688,f26099,f27495,f27623,f28198,f31806,f31808,f32785,f32787,f32955,f33745,f33748,f33750,f33810,f34145,f34148,f34150,f36399,f36486,f36488,f36490,f36629,f38591,f38622,f39440,f39442,f40185,f40738,f41858,f42805,f42872,f42907,f42920,f42923,f42986,f43082])).
% 220.97/29.06 % SZS output end CNFRefutation for theBenchmark.p
% 220.97/29.06 % Elapsed time: 28.549548 seconds
% 220.97/29.06 % CPU time: 205.053221 seconds
% 220.97/29.06 % Memory used: 475.528 MB
%------------------------------------------------------------------------------