%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO070-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:25:42 PM UTC 2026
% Result : Unsatisfiable 251.83s 32.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO070-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n020.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 09:37:34 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.49 % Drodi V4.1.1
% 251.83/32.48 % Refutation found
% 251.83/32.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 251.83/32.48 % SZS output start CNFRefutation for theBenchmark
% 251.83/32.48 fof(f1,axiom,(
% 251.83/32.48 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f3,axiom,(
% 251.83/32.48 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f4,axiom,(
% 251.83/32.48 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f5,axiom,(
% 251.83/32.48 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f6,axiom,(
% 251.83/32.48 (![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) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f7,axiom,(
% 251.83/32.48 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f13,axiom,(
% 251.83/32.48 (![X,W,V,Y,Z]: (( ~ equidistant(X,W,X,V)| ~ equidistant(Y,W,Y,V)| ~ equidistant(Z,W,Z,V)| between(X,Y,Z)| between(Y,Z,X)| between(Z,X,Y)| W = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f14,axiom,(
% 251.83/32.48 (![U,W,Y,V,X]: (( ~ between(U,W,Y)| ~ between(V,W,X)| U = W| between(U,V,euclid1(U,V,W,X,Y)) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f15,axiom,(
% 251.83/32.48 (![U,W,Y,V,X]: (( ~ between(U,W,Y)| ~ between(V,W,X)| U = W| between(U,X,euclid2(U,V,W,X,Y)) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f16,axiom,(
% 251.83/32.48 (![U,W,Y,V,X]: (( ~ between(U,W,Y)| ~ between(V,W,X)| U = W| between(euclid1(U,V,W,X,Y),Y,euclid2(U,V,W,X,Y)) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f19,axiom,(
% 251.83/32.48 (![X,Y,Z]: (( ~ between(X,Y,Z)| colinear(X,Y,Z) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f20,axiom,(
% 251.83/32.48 (![Y,Z,X]: (( ~ between(Y,Z,X)| colinear(X,Y,Z) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f21,axiom,(
% 251.83/32.48 (![Z,X,Y]: (( ~ between(Z,X,Y)| colinear(X,Y,Z) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f22,axiom,(
% 251.83/32.48 (![X,Y,Z]: (( ~ colinear(X,Y,Z)| between(X,Y,Z)| between(Y,Z,X)| between(Z,X,Y) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f23,axiom,(
% 251.83/32.48 (![U,V]: (reflection(U,V) = extension(U,V,U,V) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f24,axiom,(
% 251.83/32.48 (![U1,W1,U,V]: (insertion(U1,W1,U,V) = extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f25,axiom,(
% 251.83/32.48 (![U,V]: (equidistant(U,V,U,V) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f26,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f27,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(V,U,W,X) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f28,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(U,V,X,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f29,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(V,U,X,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f30,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,V,U) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f31,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(X,W,U,V) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f32,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(X,W,V,U) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f33,axiom,(
% 251.83/32.48 (![U,V,W,X,Y,Z]: (( ~ equidistant(U,V,W,X)| ~ equidistant(W,X,Y,Z)| equidistant(U,V,Y,Z) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f36,axiom,(
% 251.83/32.48 (![U,V]: (between(U,V,reflection(U,V)) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f37,axiom,(
% 251.83/32.48 (![V,U]: (equidistant(V,reflection(U,V),U,V) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f38,axiom,(
% 251.83/32.48 (![U,V]: (( U != V| V = reflection(U,V) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f40,axiom,(
% 251.83/32.48 (![V,U]: (( V != reflection(U,V)| U = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f41,axiom,(
% 251.83/32.48 (![U,V]: (equidistant(U,U,V,V) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f42,axiom,(
% 251.83/32.48 (![U,V,U1,V1,W,W1]: (( ~ equidistant(U,V,U1,V1)| ~ equidistant(V,W,V1,W1)| ~ between(U,V,W)| ~ between(U1,V1,W1)| equidistant(U,W,U1,W1) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f43,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,V,X)| ~ equidistant(V,W,V,X)| U = V| W = X ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f44,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ between(U,V,W)| U = V| W = extension(U,V,V,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f45,axiom,(
% 251.83/32.48 (![W,X,Y,Z,U,V]: (( ~ equidistant(W,X,Y,Z)| extension(U,V,W,X) = extension(U,V,Y,Z)| U = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f46,axiom,(
% 251.83/32.48 (![U,V]: (( extension(U,V,U,V) = extension(U,V,V,U)| U = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f48,axiom,(
% 251.83/32.48 (![U,V]: (U = reflection(reflection(U,V),V) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f49,axiom,(
% 251.83/32.48 (![U,V]: (between(U,V,V) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f51,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f52,axiom,(
% 251.83/32.48 (![U,V]: (between(U,U,V) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f53,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ between(U,V,W)| ~ between(V,U,W)| U = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f54,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ between(U,V,W)| ~ between(U,W,V)| V = W ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f58,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(V,W,X) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f59,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(V,W,X)| between(U,W,X)| V = W ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f60,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(V,W,X)| between(U,V,X)| V = W ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f63,axiom,(
% 251.83/32.48 lower_dimension_point_1 != lower_dimension_point_2 ),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f66,axiom,(
% 251.83/32.48 (![V,U]: (V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f67,axiom,(
% 251.83/32.48 (![V,U,X,W]: (equidistant(V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2),X,extension(W,X,lower_dimension_point_1,lower_dimension_point_2)) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f70,axiom,(
% 251.83/32.48 (![U,V,W,W1]: (( ~ between(U,V,W)| ~ equidistant(U,W,U,W1)| ~ equidistant(V,W,V,W1)| U = V| W = W1 ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f72,axiom,(
% 251.83/32.48 (![U,V,W,U1,V1,W1]: (( ~ between(U,V,W)| ~ between(U1,V1,W1)| ~ equidistant(U,V,U1,V1)| ~ equidistant(U,W,U1,W1)| equidistant(V,W,V1,W1) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f73,axiom,(
% 251.83/32.48 (![U,V,U1,V1,W,W1,X,X1]: (( ~ equidistant(U,V,U1,V1)| ~ equidistant(V,W,V1,W1)| ~ equidistant(U,X,U1,X1)| ~ equidistant(W,X,W1,X1)| ~ between(U,V,W)| ~ between(U1,V1,W1)| equidistant(V,X,V1,X1) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f74,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ between(U,V,W)| ~ equidistant(U,V,U,X)| ~ equidistant(W,V,W,X)| V = X ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f75,axiom,(
% 251.83/32.48 (![U,V,U1,W1]: (equidistant(U,V,U1,insertion(U1,W1,U,V)) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f78,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ between(U,V,W)| V = insertion(U,W,U,V) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f79,axiom,(
% 251.83/32.48 (![W,X,Y,Z,U,V]: (( ~ equidistant(W,X,Y,Z)| insertion(U,V,W,X) = insertion(U,V,Y,Z) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f80,axiom,(
% 251.83/32.48 (![U,V,U1,V1,W,W1]: (( ~ equidistant(U,V,U1,V1)| ~ equidistant(V,W,V1,W1)| ~ equidistant(U,W,U1,W1)| ~ between(U,V,W)| between(U1,V1,W1) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f81,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,V,X)| U = V| between(U,W,X)| between(U,X,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f82,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,V,X)| U = V| between(V,W,X)| between(V,X,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f83,axiom,(
% 251.83/32.48 (![U,W,X,V]: (( ~ between(U,W,X)| ~ between(V,W,X)| W = X| between(U,V,W)| between(V,U,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f84,axiom,(
% 251.83/32.48 (![U,V,X,W]: (( ~ between(U,V,X)| ~ between(U,W,X)| between(U,V,W)| between(U,W,V) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f85,axiom,(
% 251.83/32.48 (![U,V,X,W]: (( ~ between(U,V,X)| ~ between(U,W,X)| between(V,W,X)| between(W,V,X) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f86,axiom,(
% 251.83/32.48 (![U,V,Y,W,X]: (( ~ between(U,V,Y)| ~ between(V,W,X)| ~ between(U,X,Y)| between(U,W,Y) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f87,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ between(U,V,W)| ~ equidistant(U,V,U,W)| V = W ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f88,axiom,(
% 251.83/32.48 (![W,V,U]: (( ~ between(W,V,U)| colinear(U,V,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f89,axiom,(
% 251.83/32.48 (![U,W,V]: (( ~ between(U,W,V)| colinear(U,V,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f90,axiom,(
% 251.83/32.48 (![V,U,W]: (( ~ between(V,U,W)| colinear(U,V,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f91,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ colinear(U,V,W)| colinear(W,V,U) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f92,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ colinear(U,V,W)| colinear(V,W,U) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f93,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ colinear(U,V,W)| colinear(U,W,V) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f94,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ colinear(U,V,W)| colinear(W,U,V) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f95,axiom,(
% 251.83/32.48 (![U,V,W]: (( ~ colinear(U,V,W)| colinear(V,U,W) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f97,axiom,(
% 251.83/32.48 (![X,Y]: (colinear(X,X,Y) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f98,axiom,(
% 251.83/32.48 (![X,Y]: (colinear(X,Y,X) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f99,axiom,(
% 251.83/32.48 (![Y,X]: (colinear(Y,X,X) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f101,axiom,(
% 251.83/32.48 (![U,V,U1,V1,W,W1]: (( ~ equidistant(U,V,U1,V1)| ~ equidistant(V,W,V1,W1)| ~ equidistant(U,W,U1,W1)| ~ colinear(U,V,W)| colinear(U1,V1,W1) ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f102,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ colinear(U,V,W)| ~ colinear(U,V,X)| colinear(U,W,X)| U = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f103,axiom,(
% 251.83/32.48 (![U,V,W,X]: (( ~ colinear(U,V,W)| ~ colinear(U,V,X)| colinear(V,W,X)| U = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f104,axiom,(
% 251.83/32.48 (![W,V,U,X]: (( ~ colinear(W,V,U)| ~ colinear(X,V,U)| colinear(X,W,U)| U = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f105,axiom,(
% 251.83/32.48 (![W,V,U,X]: (( ~ colinear(W,V,U)| ~ colinear(X,V,U)| colinear(X,W,V)| U = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f106,axiom,(
% 251.83/32.48 (![U,V,W,W1,W2]: (( ~ colinear(U,V,W)| ~ colinear(U,V,W1)| ~ colinear(U,V,W2)| colinear(W,W1,W2)| U = V ) ))),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f107,hypothesis,(
% 251.83/32.48 equidistant(u,v,w,x) ),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f108,hypothesis,(
% 251.83/32.48 equidistant(v,w,x,u) ),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f109,hypothesis,(
% 251.83/32.48 equidistant(u,w,v,x) ),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f110,hypothesis,(
% 251.83/32.48 between(u,y,w) ),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f111,hypothesis,(
% 251.83/32.48 between(v,y,x) ),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f112,hypothesis,(
% 251.83/32.48 u != v ),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f113,hypothesis,(
% 251.83/32.48 x != u ),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f114,negated_conjecture,(
% 251.83/32.48 colinear(u,v,w) ),
% 251.83/32.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 251.83/32.48 fof(f115,plain,(
% 251.83/32.48 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f1])).
% 251.83/32.48 fof(f118,plain,(
% 251.83/32.48 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f3])).
% 251.83/32.48 fof(f119,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f118])).
% 251.83/32.48 fof(f120,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f4])).
% 251.83/32.48 fof(f121,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f5])).
% 251.83/32.48 fof(f122,plain,(
% 251.83/32.48 ![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))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f6])).
% 251.83/32.48 fof(f123,plain,(
% 251.83/32.48 ![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))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f122])).
% 251.83/32.48 fof(f124,plain,(
% 251.83/32.48 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f7])).
% 251.83/32.48 fof(f130,plain,(
% 251.83/32.48 ![W,V]: ((![X,Y,Z]: (((((~equidistant(X,W,X,V)|~equidistant(Y,W,Y,V))|~equidistant(Z,W,Z,V))|between(X,Y,Z))|between(Y,Z,X))|between(Z,X,Y)))|W=V)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f13])).
% 251.83/32.48 fof(f131,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4]: (~equidistant(X0,X1,X0,X2)|~equidistant(X3,X1,X3,X2)|~equidistant(X4,X1,X4,X2)|between(X0,X3,X4)|between(X3,X4,X0)|between(X4,X0,X3)|X1=X2)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f130])).
% 251.83/32.48 fof(f132,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X1,X4)|X0=X1|between(X0,X3,euclid1(X0,X3,X1,X4,X2)))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f14])).
% 251.83/32.48 fof(f133,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X1,X4)|X0=X1|between(X0,X4,euclid2(X0,X3,X1,X4,X2)))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f15])).
% 251.83/32.48 fof(f134,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X1,X4)|X0=X1|between(euclid1(X0,X3,X1,X4,X2),X2,euclid2(X0,X3,X1,X4,X2)))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f16])).
% 251.83/32.48 fof(f137,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X0,X1,X2))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f19])).
% 251.83/32.48 fof(f138,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X2,X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f20])).
% 251.83/32.48 fof(f139,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X1,X2,X0))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f21])).
% 251.83/32.48 fof(f140,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~colinear(X0,X1,X2)|between(X0,X1,X2)|between(X1,X2,X0)|between(X2,X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f22])).
% 251.83/32.48 fof(f141,plain,(
% 251.83/32.48 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f23])).
% 251.83/32.48 fof(f142,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (insertion(X0,X1,X2,X3)=extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f24])).
% 251.83/32.48 fof(f143,plain,(
% 251.83/32.48 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f25])).
% 251.83/32.48 fof(f144,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f26])).
% 251.83/32.48 fof(f145,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X1,X0,X2,X3))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f27])).
% 251.83/32.48 fof(f146,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X0,X1,X3,X2))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f28])).
% 251.83/32.48 fof(f147,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X1,X0,X3,X2))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f29])).
% 251.83/32.48 fof(f148,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X1,X0))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f30])).
% 251.83/32.48 fof(f149,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X3,X2,X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f31])).
% 251.83/32.48 fof(f150,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X3,X2,X1,X0))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f32])).
% 251.83/32.48 fof(f151,plain,(
% 251.83/32.48 ![U,V,Y,Z]: ((![W,X]: (~equidistant(U,V,W,X)|~equidistant(W,X,Y,Z)))|equidistant(U,V,Y,Z))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f33])).
% 251.83/32.48 fof(f152,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X2,X3,X4,X5)|equidistant(X0,X1,X4,X5))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f151])).
% 251.83/32.48 fof(f156,plain,(
% 251.83/32.48 ![X0,X1]: (between(X0,X1,reflection(X0,X1)))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f36])).
% 251.83/32.48 fof(f157,plain,(
% 251.83/32.48 ![X0,X1]: (equidistant(X0,reflection(X1,X0),X1,X0))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f37])).
% 251.83/32.48 fof(f158,plain,(
% 251.83/32.48 ![X0,X1]: (~X0=X1|X1=reflection(X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f38])).
% 251.83/32.48 fof(f160,plain,(
% 251.83/32.48 ![X0,X1]: (~X0=reflection(X1,X0)|X1=X0)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f40])).
% 251.83/32.48 fof(f161,plain,(
% 251.83/32.48 ![X0,X1]: (equidistant(X0,X0,X1,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f41])).
% 251.83/32.48 fof(f162,plain,(
% 251.83/32.48 ![U,U1,W,W1]: ((![V1]: ((![V]: ((~equidistant(U,V,U1,V1)|~equidistant(V,W,V1,W1))|~between(U,V,W)))|~between(U1,V1,W1)))|equidistant(U,W,U1,W1))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f42])).
% 251.83/32.48 fof(f163,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X1,X4,X3,X5)|~between(X0,X1,X4)|~between(X2,X3,X5)|equidistant(X0,X4,X2,X5))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f162])).
% 251.83/32.48 fof(f164,plain,(
% 251.83/32.48 ![W,X]: ((![U,V]: (((~between(U,V,W)|~between(U,V,X))|~equidistant(V,W,V,X))|U=V))|W=X)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f43])).
% 251.83/32.48 fof(f165,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|~equidistant(X1,X2,X1,X3)|X0=X1|X2=X3)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f164])).
% 251.83/32.48 fof(f166,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~between(X0,X1,X2)|X0=X1|X2=extension(X0,X1,X1,X2))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f44])).
% 251.83/32.48 fof(f167,plain,(
% 251.83/32.48 ![U,V]: ((![W,X,Y,Z]: (~equidistant(W,X,Y,Z)|extension(U,V,W,X)=extension(U,V,Y,Z)))|U=V)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f45])).
% 251.83/32.48 fof(f168,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|extension(X4,X5,X0,X1)=extension(X4,X5,X2,X3)|X4=X5)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f167])).
% 251.83/32.48 fof(f169,plain,(
% 251.83/32.48 ![X0,X1]: (extension(X0,X1,X0,X1)=extension(X0,X1,X1,X0)|X0=X1)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f46])).
% 251.83/32.48 fof(f171,plain,(
% 251.83/32.48 ![X0,X1]: (X0=reflection(reflection(X0,X1),X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f48])).
% 251.83/32.48 fof(f172,plain,(
% 251.83/32.48 ![X0,X1]: (between(X0,X1,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f49])).
% 251.83/32.48 fof(f175,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f51])).
% 251.83/32.48 fof(f176,plain,(
% 251.83/32.48 ![X0,X1]: (between(X0,X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f52])).
% 251.83/32.48 fof(f177,plain,(
% 251.83/32.48 ![U,V]: ((![W]: (~between(U,V,W)|~between(V,U,W)))|U=V)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f53])).
% 251.83/32.48 fof(f178,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~between(X0,X1,X2)|~between(X1,X0,X2)|X0=X1)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f177])).
% 251.83/32.48 fof(f179,plain,(
% 251.83/32.48 ![V,W]: ((![U]: (~between(U,V,W)|~between(U,W,V)))|V=W)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f54])).
% 251.83/32.48 fof(f180,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~between(X0,X1,X2)|~between(X0,X2,X1)|X1=X2)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f179])).
% 251.83/32.48 fof(f187,plain,(
% 251.83/32.48 ![V,W,X]: ((![U]: (~between(U,V,W)|~between(U,W,X)))|between(V,W,X))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f58])).
% 251.83/32.48 fof(f188,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X1,X2,X3))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f187])).
% 251.83/32.48 fof(f189,plain,(
% 251.83/32.48 ![V,W]: ((![U,X]: ((~between(U,V,W)|~between(V,W,X))|between(U,W,X)))|V=W)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f59])).
% 251.83/32.48 fof(f190,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X2,X3)|between(X0,X2,X3)|X1=X2)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f189])).
% 251.83/32.48 fof(f191,plain,(
% 251.83/32.48 ![V,W]: ((![U,X]: ((~between(U,V,W)|~between(V,W,X))|between(U,V,X)))|V=W)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f60])).
% 251.83/32.48 fof(f192,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X2,X3)|between(X0,X1,X3)|X1=X2)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f191])).
% 251.83/32.48 fof(f197,plain,(
% 251.83/32.48 ~lower_dimension_point_1=lower_dimension_point_2),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f63])).
% 251.83/32.48 fof(f200,plain,(
% 251.83/32.48 ![X0,X1]: (~X0=extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f66])).
% 251.83/32.48 fof(f201,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f67])).
% 251.83/32.48 fof(f204,plain,(
% 251.83/32.48 ![W,W1]: ((![U,V]: (((~between(U,V,W)|~equidistant(U,W,U,W1))|~equidistant(V,W,V,W1))|U=V))|W=W1)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f70])).
% 251.83/32.48 fof(f205,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~equidistant(X0,X2,X0,X3)|~equidistant(X1,X2,X1,X3)|X0=X1|X2=X3)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f204])).
% 251.83/32.48 fof(f208,plain,(
% 251.83/32.48 ![V,W,V1,W1]: ((![U,U1]: (((~between(U,V,W)|~between(U1,V1,W1))|~equidistant(U,V,U1,V1))|~equidistant(U,W,U1,W1)))|equidistant(V,W,V1,W1))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f72])).
% 251.83/32.48 fof(f209,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4,X5]: (~between(X0,X1,X2)|~between(X3,X4,X5)|~equidistant(X0,X1,X3,X4)|~equidistant(X0,X2,X3,X5)|equidistant(X1,X2,X4,X5))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f208])).
% 251.83/32.48 fof(f210,plain,(
% 251.83/32.48 ![V,V1,X,X1]: ((![U1,W1]: ((![U,W]: ((((~equidistant(U,V,U1,V1)|~equidistant(V,W,V1,W1))|~equidistant(U,X,U1,X1))|~equidistant(W,X,W1,X1))|~between(U,V,W)))|~between(U1,V1,W1)))|equidistant(V,X,V1,X1))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f73])).
% 251.83/32.48 fof(f211,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,X2,X3)|~equidistant(X1,X4,X3,X5)|~equidistant(X0,X6,X2,X7)|~equidistant(X4,X6,X5,X7)|~between(X0,X1,X4)|~between(X2,X3,X5)|equidistant(X1,X6,X3,X7))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f210])).
% 251.83/32.48 fof(f212,plain,(
% 251.83/32.48 ![V,X]: ((![W]: ((![U]: (~between(U,V,W)|~equidistant(U,V,U,X)))|~equidistant(W,V,W,X)))|V=X)),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f74])).
% 251.83/32.48 fof(f213,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~equidistant(X0,X1,X0,X3)|~equidistant(X2,X1,X2,X3)|X1=X3)),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f212])).
% 251.83/32.48 fof(f214,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (equidistant(X0,X1,X2,insertion(X2,X3,X0,X1)))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f75])).
% 251.83/32.48 fof(f218,plain,(
% 251.83/32.48 ![X0,X1,X2]: (~between(X0,X1,X2)|X1=insertion(X0,X2,X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f78])).
% 251.83/32.48 fof(f219,plain,(
% 251.83/32.48 ![W,X,Y,Z]: (~equidistant(W,X,Y,Z)|(![U,V]: insertion(U,V,W,X)=insertion(U,V,Y,Z)))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f79])).
% 251.83/32.48 fof(f220,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|insertion(X4,X5,X0,X1)=insertion(X4,X5,X2,X3))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f219])).
% 251.83/32.48 fof(f221,plain,(
% 251.83/32.48 ![U1,V1,W1]: ((![U,V,W]: (((~equidistant(U,V,U1,V1)|~equidistant(V,W,V1,W1))|~equidistant(U,W,U1,W1))|~between(U,V,W)))|between(U1,V1,W1))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f80])).
% 251.83/32.48 fof(f222,plain,(
% 251.83/32.48 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X1,X4,X3,X5)|~equidistant(X0,X4,X2,X5)|~between(X0,X1,X4)|between(X2,X3,X5))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f221])).
% 251.83/32.48 fof(f223,plain,(
% 251.83/32.48 ![U,W,X]: (((![V]: ((~between(U,V,W)|~between(U,V,X))|U=V))|between(U,W,X))|between(U,X,W))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f81])).
% 251.83/32.48 fof(f224,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|X0=X1|between(X0,X2,X3)|between(X0,X3,X2))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f223])).
% 251.83/32.48 fof(f225,plain,(
% 251.83/32.48 ![V,W,X]: (((![U]: ((~between(U,V,W)|~between(U,V,X))|U=V))|between(V,W,X))|between(V,X,W))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f82])).
% 251.83/32.48 fof(f226,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|X0=X1|between(X1,X2,X3)|between(X1,X3,X2))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f225])).
% 251.83/32.48 fof(f227,plain,(
% 251.83/32.48 ![U,W,V]: (((![X]: ((~between(U,W,X)|~between(V,W,X))|W=X))|between(U,V,W))|between(V,U,W))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f83])).
% 251.83/32.48 fof(f228,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X3,X1,X2)|X1=X2|between(X0,X3,X1)|between(X3,X0,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f227])).
% 251.83/32.48 fof(f229,plain,(
% 251.83/32.48 ![U,V,W]: (((![X]: (~between(U,V,X)|~between(U,W,X)))|between(U,V,W))|between(U,W,V))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f84])).
% 251.83/32.48 fof(f230,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X3,X2)|between(X0,X1,X3)|between(X0,X3,X1))),
% 251.83/32.48 inference(cnf_transformation,[status(thm)],[f229])).
% 251.83/32.48 fof(f231,plain,(
% 251.83/32.48 ![V,X,W]: (((![U]: (~between(U,V,X)|~between(U,W,X)))|between(V,W,X))|between(W,V,X))),
% 251.83/32.48 inference(miniscoping,[status(thm)],[f85])).
% 251.83/32.48 fof(f232,plain,(
% 251.83/32.48 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X3,X2)|between(X1,X3,X2)|between(X3,X1,X2))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f231])).
% 251.83/32.50 fof(f233,plain,(
% 251.83/32.50 ![U,Y,W]: ((![X]: ((![V]: (~between(U,V,Y)|~between(V,W,X)))|~between(U,X,Y)))|between(U,W,Y))),
% 251.83/32.50 inference(miniscoping,[status(thm)],[f86])).
% 251.83/32.50 fof(f234,plain,(
% 251.83/32.50 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X1,X3,X4)|~between(X0,X4,X2)|between(X0,X3,X2))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f233])).
% 251.83/32.50 fof(f235,plain,(
% 251.83/32.50 ![V,W]: ((![U]: (~between(U,V,W)|~equidistant(U,V,U,W)))|V=W)),
% 251.83/32.50 inference(miniscoping,[status(thm)],[f87])).
% 251.83/32.50 fof(f236,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~between(X0,X1,X2)|~equidistant(X0,X1,X0,X2)|X1=X2)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f235])).
% 251.83/32.50 fof(f237,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X2,X1,X0))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f88])).
% 251.83/32.50 fof(f238,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X0,X2,X1))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f89])).
% 251.83/32.50 fof(f239,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X1,X0,X2))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f90])).
% 251.83/32.50 fof(f240,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~colinear(X0,X1,X2)|colinear(X2,X1,X0))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f91])).
% 251.83/32.50 fof(f241,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~colinear(X0,X1,X2)|colinear(X1,X2,X0))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f92])).
% 251.83/32.50 fof(f242,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~colinear(X0,X1,X2)|colinear(X0,X2,X1))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f93])).
% 251.83/32.50 fof(f243,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~colinear(X0,X1,X2)|colinear(X2,X0,X1))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f94])).
% 251.83/32.50 fof(f244,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~colinear(X0,X1,X2)|colinear(X1,X0,X2))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f95])).
% 251.83/32.50 fof(f246,plain,(
% 251.83/32.50 ![X0,X1]: (colinear(X0,X0,X1))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f97])).
% 251.83/32.50 fof(f247,plain,(
% 251.83/32.50 ![X0,X1]: (colinear(X0,X1,X0))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f98])).
% 251.83/32.50 fof(f248,plain,(
% 251.83/32.50 ![X0,X1]: (colinear(X0,X1,X1))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f99])).
% 251.83/32.50 fof(f251,plain,(
% 251.83/32.50 ![U1,V1,W1]: ((![U,V,W]: (((~equidistant(U,V,U1,V1)|~equidistant(V,W,V1,W1))|~equidistant(U,W,U1,W1))|~colinear(U,V,W)))|colinear(U1,V1,W1))),
% 251.83/32.50 inference(miniscoping,[status(thm)],[f101])).
% 251.83/32.50 fof(f252,plain,(
% 251.83/32.50 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X1,X4,X3,X5)|~equidistant(X0,X4,X2,X5)|~colinear(X0,X1,X4)|colinear(X2,X3,X5))),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f251])).
% 251.83/32.50 fof(f253,plain,(
% 251.83/32.50 ![U,V]: ((![W,X]: ((~colinear(U,V,W)|~colinear(U,V,X))|colinear(U,W,X)))|U=V)),
% 251.83/32.50 inference(miniscoping,[status(thm)],[f102])).
% 251.83/32.50 fof(f254,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (~colinear(X0,X1,X2)|~colinear(X0,X1,X3)|colinear(X0,X2,X3)|X0=X1)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f253])).
% 251.83/32.50 fof(f255,plain,(
% 251.83/32.50 ![U,V]: ((![W,X]: ((~colinear(U,V,W)|~colinear(U,V,X))|colinear(V,W,X)))|U=V)),
% 251.83/32.50 inference(miniscoping,[status(thm)],[f103])).
% 251.83/32.50 fof(f256,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (~colinear(X0,X1,X2)|~colinear(X0,X1,X3)|colinear(X1,X2,X3)|X0=X1)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f255])).
% 251.83/32.50 fof(f257,plain,(
% 251.83/32.50 ![V,U]: ((![W,X]: ((~colinear(W,V,U)|~colinear(X,V,U))|colinear(X,W,U)))|U=V)),
% 251.83/32.50 inference(miniscoping,[status(thm)],[f104])).
% 251.83/32.50 fof(f258,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (~colinear(X0,X1,X2)|~colinear(X3,X1,X2)|colinear(X3,X0,X2)|X2=X1)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f257])).
% 251.83/32.50 fof(f259,plain,(
% 251.83/32.50 ![V,U]: ((![W,X]: ((~colinear(W,V,U)|~colinear(X,V,U))|colinear(X,W,V)))|U=V)),
% 251.83/32.50 inference(miniscoping,[status(thm)],[f105])).
% 251.83/32.50 fof(f260,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (~colinear(X0,X1,X2)|~colinear(X3,X1,X2)|colinear(X3,X0,X1)|X2=X1)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f259])).
% 251.83/32.50 fof(f261,plain,(
% 251.83/32.50 ![U,V]: ((![W,W1,W2]: (((~colinear(U,V,W)|~colinear(U,V,W1))|~colinear(U,V,W2))|colinear(W,W1,W2)))|U=V)),
% 251.83/32.50 inference(miniscoping,[status(thm)],[f106])).
% 251.83/32.50 fof(f262,plain,(
% 251.83/32.50 ![X0,X1,X2,X3,X4]: (~colinear(X0,X1,X2)|~colinear(X0,X1,X3)|~colinear(X0,X1,X4)|colinear(X2,X3,X4)|X0=X1)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f261])).
% 251.83/32.50 fof(f263,plain,(
% 251.83/32.50 equidistant(u,v,w,x)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f107])).
% 251.83/32.50 fof(f264,plain,(
% 251.83/32.50 equidistant(v,w,x,u)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f108])).
% 251.83/32.50 fof(f265,plain,(
% 251.83/32.50 equidistant(u,w,v,x)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f109])).
% 251.83/32.50 fof(f266,plain,(
% 251.83/32.50 between(u,y,w)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f110])).
% 251.83/32.50 fof(f267,plain,(
% 251.83/32.50 between(v,y,x)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f111])).
% 251.83/32.50 fof(f268,plain,(
% 251.83/32.50 ~u=v),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f112])).
% 251.83/32.50 fof(f269,plain,(
% 251.83/32.50 ~x=u),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f113])).
% 251.83/32.50 fof(f270,plain,(
% 251.83/32.50 colinear(u,v,w)),
% 251.83/32.50 inference(cnf_transformation,[status(thm)],[f114])).
% 251.83/32.50 fof(f272,plain,(
% 251.83/32.50 ![X0]: (X0=reflection(X0,X0))),
% 251.83/32.50 inference(destructive_equality_resolution,[status(thm)],[f158])).
% 251.83/32.50 fof(f277,plain,(
% 251.83/32.50 between(u,v,w)|between(v,w,u)|between(w,u,v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f140,f270])).
% 251.83/32.50 fof(f280,definition,(
% 251.83/32.50 sQ0_spl <=> (between(u,v,w))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f281,plain,(
% 251.83/32.50 between(u,v,w)|~sQ0_spl),
% 251.83/32.50 inference(component_clause,[status(thm)],[f280])).
% 251.83/32.50 fof(f283,definition,(
% 251.83/32.50 sQ1_spl <=> (between(v,w,u))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f284,plain,(
% 251.83/32.50 between(v,w,u)|~sQ1_spl),
% 251.83/32.50 inference(component_clause,[status(thm)],[f283])).
% 251.83/32.50 fof(f286,definition,(
% 251.83/32.50 sQ2_spl <=> (between(w,u,v))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f287,plain,(
% 251.83/32.50 between(w,u,v)|~sQ2_spl),
% 251.83/32.50 inference(component_clause,[status(thm)],[f286])).
% 251.83/32.50 fof(f289,plain,(
% 251.83/32.50 sQ0_spl|sQ1_spl|sQ2_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f277,f280,f283,f286])).
% 251.83/32.50 fof(f306,definition,(
% 251.83/32.50 sQ3_spl <=> (between(w,v,u))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f309,definition,(
% 251.83/32.50 sQ4_spl <=> (between(v,u,w))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f312,definition,(
% 251.83/32.50 sQ5_spl <=> (between(u,w,v))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f313,plain,(
% 251.83/32.50 between(u,w,v)|~sQ5_spl),
% 251.83/32.50 inference(component_clause,[status(thm)],[f312])).
% 251.83/32.50 fof(f390,plain,(
% 251.83/32.50 colinear(u,w,v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f242,f270])).
% 251.83/32.50 fof(f457,definition,(
% 251.83/32.50 sQ7_spl <=> (w=v)),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f458,plain,(
% 251.83/32.50 w=v|~sQ7_spl),
% 251.83/32.50 inference(component_clause,[status(thm)],[f457])).
% 251.83/32.50 fof(f468,definition,(
% 251.83/32.50 sQ10_spl <=> (v=u)),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f469,plain,(
% 251.83/32.50 v=u|~sQ10_spl),
% 251.83/32.50 inference(component_clause,[status(thm)],[f468])).
% 251.83/32.50 fof(f475,definition,(
% 251.83/32.50 sQ12_spl <=> (u=w)),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f476,plain,(
% 251.83/32.50 u=w|~sQ12_spl),
% 251.83/32.50 inference(component_clause,[status(thm)],[f475])).
% 251.83/32.50 fof(f479,plain,(
% 251.83/32.50 $false|~sQ10_spl),
% 251.83/32.50 inference(forward_subsumption_resolution,[status(thm)],[f469,f268])).
% 251.83/32.50 fof(f480,plain,(
% 251.83/32.50 ~sQ10_spl),
% 251.83/32.50 inference(contradiction_clause,[status(thm)],[f479])).
% 251.83/32.50 fof(f497,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|~equidistant(X2,X1,X0,X3)|~colinear(X2,X0,X1)|colinear(X0,X2,X3))),
% 251.83/32.50 inference(resolution,[status(thm)],[f252,f115])).
% 251.83/32.50 fof(f517,definition,(
% 251.83/32.50 sQ15_spl <=> (u=y)),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f518,plain,(
% 251.83/32.50 u=y|~sQ15_spl),
% 251.83/32.50 inference(component_clause,[status(thm)],[f517])).
% 251.83/32.50 fof(f541,plain,(
% 251.83/32.50 ![X0]: (~colinear(u,v,X0)|colinear(u,w,X0)|u=v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f270,f254])).
% 251.83/32.50 fof(f542,plain,(
% 251.83/32.50 colinear(v,u,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f270,f244])).
% 251.83/32.50 fof(f543,plain,(
% 251.83/32.50 colinear(w,u,v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f270,f243])).
% 251.83/32.50 fof(f545,plain,(
% 251.83/32.50 colinear(v,w,u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f270,f241])).
% 251.83/32.50 fof(f548,definition,(
% 251.83/32.50 ![X0]: (sQ17_spl <=> (~colinear(u,v,X0)|colinear(u,w,X0)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f551,plain,(
% 251.83/32.50 sQ17_spl|sQ10_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f541,f548,f468])).
% 251.83/32.50 fof(f553,plain,(
% 251.83/32.50 ![X0]: (~colinear(u,v,X0)|colinear(v,w,X0)|u=v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f256,f270])).
% 251.83/32.50 fof(f557,definition,(
% 251.83/32.50 ![X0]: (sQ18_spl <=> (~colinear(u,v,X0)|colinear(v,w,X0)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f560,plain,(
% 251.83/32.50 sQ18_spl|sQ10_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f553,f557,f468])).
% 251.83/32.50 fof(f561,plain,(
% 251.83/32.50 ![X0]: (~colinear(X0,v,w)|colinear(X0,u,w)|w=v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f258,f270])).
% 251.83/32.50 fof(f565,definition,(
% 251.83/32.50 ![X0]: (sQ19_spl <=> (~colinear(X0,v,w)|colinear(X0,u,w)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f568,plain,(
% 251.83/32.50 sQ19_spl|sQ7_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f561,f565,f457])).
% 251.83/32.50 fof(f581,plain,(
% 251.83/32.50 between(v,u,x)|~sQ15_spl),
% 251.83/32.50 inference(forward_demodulation,[status(thm)],[f518,f267])).
% 251.83/32.50 fof(f609,plain,(
% 251.83/32.50 ![X0,X1]: (insertion(X0,X1,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0)=reflection(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0))),
% 251.83/32.50 inference(paramodulation,[status(thm)],[f141,f142])).
% 251.83/32.50 fof(f611,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (insertion(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X2,X3)=extension(insertion(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3))),
% 251.83/32.50 inference(paramodulation,[status(thm)],[f142,f142])).
% 251.83/32.50 fof(f612,plain,(
% 251.83/32.50 ![X0,X1]: (insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1)=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1))),
% 251.83/32.50 inference(paramodulation,[status(thm)],[f141,f142])).
% 251.83/32.50 fof(f616,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (between(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,insertion(X1,X0,X2,X3)))),
% 251.83/32.50 inference(paramodulation,[status(thm)],[f142,f120])).
% 251.83/32.50 fof(f680,plain,(
% 251.83/32.50 ![X0,X1]: (~colinear(u,v,X0)|~colinear(u,v,X1)|colinear(w,X0,X1)|u=v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f270,f262])).
% 251.83/32.50 fof(f681,plain,(
% 251.83/32.50 ![X0]: (~colinear(X0,v,w)|colinear(X0,u,v)|w=v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f270,f260])).
% 251.83/32.50 fof(f691,definition,(
% 251.83/32.50 ![X0,X1]: (sQ27_spl <=> (~colinear(u,v,X0)|~colinear(u,v,X1)|colinear(w,X0,X1)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f694,plain,(
% 251.83/32.50 sQ27_spl|sQ10_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f680,f691,f468])).
% 251.83/32.50 fof(f695,definition,(
% 251.83/32.50 ![X0]: (sQ28_spl <=> (~colinear(X0,v,w)|colinear(X0,u,v)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f698,plain,(
% 251.83/32.50 sQ28_spl|sQ7_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f681,f695,f457])).
% 251.83/32.50 fof(f749,plain,(
% 251.83/32.50 equidistant(w,v,u,x)),
% 251.83/32.50 inference(resolution,[status(thm)],[f264,f147])).
% 251.83/32.50 fof(f750,plain,(
% 251.83/32.50 equidistant(v,w,u,x)),
% 251.83/32.50 inference(resolution,[status(thm)],[f264,f146])).
% 251.83/32.50 fof(f752,plain,(
% 251.83/32.50 equidistant(x,u,v,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f264,f144])).
% 251.83/32.50 fof(f753,plain,(
% 251.83/32.50 ![X0,X1]: (~equidistant(w,X0,u,X1)|~equidistant(v,X0,x,X1)|~colinear(v,w,X0)|colinear(x,u,X1))),
% 251.83/32.50 inference(resolution,[status(thm)],[f264,f252])).
% 251.83/32.50 fof(f754,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (~equidistant(w,X0,u,X1)|~equidistant(v,X2,x,X3)|~equidistant(w,X2,u,X3)|~between(v,w,X0)|~between(x,u,X1)|v=w|equidistant(X0,X2,X1,X3))),
% 251.83/32.50 inference(resolution,[status(thm)],[f264,f123])).
% 251.83/32.50 fof(f756,definition,(
% 251.83/32.50 ![X0,X1,X2,X3]: (sQ30_spl <=> (~equidistant(w,X0,u,X1)|~equidistant(v,X2,x,X3)|~equidistant(w,X2,u,X3)|~between(v,w,X0)|~between(x,u,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f759,plain,(
% 251.83/32.50 sQ30_spl|sQ7_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f754,f756,f457])).
% 251.83/32.50 fof(f887,plain,(
% 251.83/32.50 ![X0,X1]: (equidistant(X0,X1,X0,reflection(X1,X0)))),
% 251.83/32.50 inference(resolution,[status(thm)],[f157,f149])).
% 251.83/32.50 fof(f943,plain,(
% 251.83/32.50 ![X0,X1,X2]: (~between(X0,X1,X2)|~equidistant(X1,reflection(X0,X1),X1,X2)|X0=X1|reflection(X0,X1)=X2)),
% 251.83/32.50 inference(resolution,[status(thm)],[f165,f156])).
% 251.83/32.50 fof(f944,plain,(
% 251.83/32.50 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~equidistant(X1,extension(X0,X1,X3,X4),X1,X2)|X0=X1|extension(X0,X1,X3,X4)=X2)),
% 251.83/32.50 inference(resolution,[status(thm)],[f165,f120])).
% 251.83/32.50 fof(f952,plain,(
% 251.83/32.50 ![X0,X1]: (X0=X1|reflection(X0,X1)=extension(X0,X1,X1,reflection(X0,X1)))),
% 251.83/32.50 inference(resolution,[status(thm)],[f166,f156])).
% 251.83/32.50 fof(f953,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (X0=X1|extension(X0,X1,X2,X3)=extension(X0,X1,X1,extension(X0,X1,X2,X3)))),
% 251.83/32.50 inference(resolution,[status(thm)],[f166,f120])).
% 251.83/32.50 fof(f963,plain,(
% 251.83/32.50 colinear(u,w,v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f270,f242])).
% 251.83/32.50 fof(f965,plain,(
% 251.83/32.50 colinear(w,v,u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f270,f240])).
% 251.83/32.50 fof(f1003,plain,(
% 251.83/32.50 ![X0,X1]: (~colinear(u,w,X0)|~colinear(u,w,X1)|colinear(v,X0,X1)|u=w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f390,f262])).
% 251.83/32.50 fof(f1004,plain,(
% 251.83/32.50 ![X0]: (~colinear(X0,w,v)|colinear(X0,u,w)|v=w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f390,f260])).
% 251.83/32.50 fof(f1005,plain,(
% 251.83/32.50 ![X0]: (~colinear(X0,w,v)|colinear(X0,u,v)|v=w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f390,f258])).
% 251.83/32.50 fof(f1006,plain,(
% 251.83/32.50 ![X0]: (~colinear(u,w,X0)|colinear(w,v,X0)|u=w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f390,f256])).
% 251.83/32.50 fof(f1007,plain,(
% 251.83/32.50 ![X0]: (~colinear(u,w,X0)|colinear(u,v,X0)|u=w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f390,f254])).
% 251.83/32.50 fof(f1009,plain,(
% 251.83/32.50 colinear(v,u,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f390,f243])).
% 251.83/32.50 fof(f1013,plain,(
% 251.83/32.50 between(u,w,v)|between(w,v,u)|between(v,u,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f390,f140])).
% 251.83/32.50 fof(f1014,definition,(
% 251.83/32.50 ![X0,X1]: (sQ38_spl <=> (~colinear(u,w,X0)|~colinear(u,w,X1)|colinear(v,X0,X1)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1017,plain,(
% 251.83/32.50 sQ38_spl|sQ12_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1003,f1014,f475])).
% 251.83/32.50 fof(f1018,definition,(
% 251.83/32.50 ![X0]: (sQ39_spl <=> (~colinear(X0,w,v)|colinear(X0,u,w)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1021,plain,(
% 251.83/32.50 sQ39_spl|sQ7_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1004,f1018,f457])).
% 251.83/32.50 fof(f1022,definition,(
% 251.83/32.50 ![X0]: (sQ40_spl <=> (~colinear(X0,w,v)|colinear(X0,u,v)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1025,plain,(
% 251.83/32.50 sQ40_spl|sQ7_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1005,f1022,f457])).
% 251.83/32.50 fof(f1026,definition,(
% 251.83/32.50 ![X0]: (sQ41_spl <=> (~colinear(u,w,X0)|colinear(w,v,X0)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1027,plain,(
% 251.83/32.50 ![X0]: (~colinear(u,w,X0)|colinear(w,v,X0)|~sQ41_spl)),
% 251.83/32.50 inference(component_clause,[status(thm)],[f1026])).
% 251.83/32.50 fof(f1029,plain,(
% 251.83/32.50 sQ41_spl|sQ12_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1006,f1026,f475])).
% 251.83/32.50 fof(f1030,definition,(
% 251.83/32.50 ![X0]: (sQ42_spl <=> (~colinear(u,w,X0)|colinear(u,v,X0)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1031,plain,(
% 251.83/32.50 ![X0]: (~colinear(u,w,X0)|colinear(u,v,X0)|~sQ42_spl)),
% 251.83/32.50 inference(component_clause,[status(thm)],[f1030])).
% 251.83/32.50 fof(f1033,plain,(
% 251.83/32.50 sQ42_spl|sQ12_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1007,f1030,f475])).
% 251.83/32.50 fof(f1034,plain,(
% 251.83/32.50 sQ5_spl|sQ3_spl|sQ4_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1013,f312,f306,f309])).
% 251.83/32.50 fof(f1035,plain,(
% 251.83/32.50 ![X0,X1]: (~equidistant(v,X0,x,X1)|~between(u,v,X0)|~between(w,x,X1)|equidistant(u,X0,w,X1))),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f163])).
% 251.83/32.50 fof(f1037,plain,(
% 251.83/32.50 equidistant(x,w,v,u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f150])).
% 251.83/32.50 fof(f1038,plain,(
% 251.83/32.50 equidistant(x,w,u,v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f149])).
% 251.83/32.50 fof(f1039,plain,(
% 251.83/32.50 equidistant(w,x,v,u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f148])).
% 251.83/32.50 fof(f1040,plain,(
% 251.83/32.50 equidistant(v,u,x,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f147])).
% 251.83/32.50 fof(f1041,plain,(
% 251.83/32.50 equidistant(u,v,x,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f146])).
% 251.83/32.50 fof(f1042,plain,(
% 251.83/32.50 equidistant(v,u,w,x)),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f145])).
% 251.83/32.50 fof(f1043,plain,(
% 251.83/32.50 equidistant(w,x,u,v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f144])).
% 251.83/32.50 fof(f1044,plain,(
% 251.83/32.50 ![X0,X1]: (~equidistant(v,X0,x,X1)|~equidistant(u,X0,w,X1)|~colinear(u,v,X0)|colinear(w,x,X1))),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f252])).
% 251.83/32.50 fof(f1045,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (~equidistant(v,X0,x,X1)|~equidistant(u,X2,w,X3)|~equidistant(v,X2,x,X3)|~between(u,v,X0)|~between(w,x,X1)|u=v|equidistant(X0,X2,X1,X3))),
% 251.83/32.50 inference(resolution,[status(thm)],[f263,f123])).
% 251.83/32.50 fof(f1047,definition,(
% 251.83/32.50 ![X0,X1,X2,X3]: (sQ43_spl <=> (~equidistant(v,X0,x,X1)|~equidistant(u,X2,w,X3)|~equidistant(v,X2,x,X3)|~between(u,v,X0)|~between(w,x,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1050,plain,(
% 251.83/32.50 sQ43_spl|sQ10_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1045,f1047,f468])).
% 251.83/32.50 fof(f1051,plain,(
% 251.83/32.50 ![X0,X1]: (~equidistant(w,X0,x,X1)|~between(u,w,X0)|~between(v,x,X1)|equidistant(u,X0,v,X1))),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f163])).
% 251.83/32.50 fof(f1053,plain,(
% 251.83/32.50 equidistant(x,v,w,u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f150])).
% 251.83/32.50 fof(f1054,plain,(
% 251.83/32.50 equidistant(x,v,u,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f149])).
% 251.83/32.50 fof(f1055,plain,(
% 251.83/32.50 equidistant(v,x,w,u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f148])).
% 251.83/32.50 fof(f1056,plain,(
% 251.83/32.50 equidistant(w,u,x,v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f147])).
% 251.83/32.50 fof(f1057,plain,(
% 251.83/32.50 equidistant(u,w,x,v)),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f146])).
% 251.83/32.50 fof(f1058,plain,(
% 251.83/32.50 equidistant(w,u,v,x)),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f145])).
% 251.83/32.50 fof(f1059,plain,(
% 251.83/32.50 equidistant(v,x,u,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f144])).
% 251.83/32.50 fof(f1060,plain,(
% 251.83/32.50 ![X0,X1]: (~equidistant(w,X0,x,X1)|~equidistant(u,X0,v,X1)|~colinear(u,w,X0)|colinear(v,x,X1))),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f252])).
% 251.83/32.50 fof(f1061,plain,(
% 251.83/32.50 ![X0,X1,X2,X3]: (~equidistant(w,X0,x,X1)|~equidistant(u,X2,v,X3)|~equidistant(w,X2,x,X3)|~between(u,w,X0)|~between(v,x,X1)|u=w|equidistant(X0,X2,X1,X3))),
% 251.83/32.50 inference(resolution,[status(thm)],[f265,f123])).
% 251.83/32.50 fof(f1063,definition,(
% 251.83/32.50 ![X0,X1,X2,X3]: (sQ44_spl <=> (~equidistant(w,X0,x,X1)|~equidistant(u,X2,v,X3)|~equidistant(w,X2,x,X3)|~between(u,w,X0)|~between(v,x,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1066,plain,(
% 251.83/32.50 sQ44_spl|sQ12_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1061,f1063,f475])).
% 251.83/32.50 fof(f1067,plain,(
% 251.83/32.50 u=y|w=extension(u,y,y,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f166])).
% 251.83/32.50 fof(f1068,plain,(
% 251.83/32.50 ![X0]: (~between(u,y,X0)|~equidistant(y,w,y,X0)|u=y|w=X0)),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f165])).
% 251.83/32.50 fof(f1069,plain,(
% 251.83/32.50 ![X0,X1]: (~between(X0,y,X1)|u=y|between(euclid1(u,X0,y,X1,w),w,euclid2(u,X0,y,X1,w)))),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f134])).
% 251.83/32.50 fof(f1070,plain,(
% 251.83/32.50 ![X0,X1]: (~between(X0,y,X1)|u=y|between(u,X1,euclid2(u,X0,y,X1,w)))),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f133])).
% 251.83/32.50 fof(f1071,plain,(
% 251.83/32.50 ![X0,X1]: (~between(X0,y,X1)|u=y|between(u,X0,euclid1(u,X0,y,X1,w)))),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f132])).
% 251.83/32.50 fof(f1074,plain,(
% 251.83/32.50 colinear(y,u,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f239])).
% 251.83/32.50 fof(f1075,plain,(
% 251.83/32.50 colinear(u,w,y)),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f238])).
% 251.83/32.50 fof(f1076,plain,(
% 251.83/32.50 colinear(w,y,u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f237])).
% 251.83/32.50 fof(f1077,plain,(
% 251.83/32.50 colinear(y,w,u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f139])).
% 251.83/32.50 fof(f1078,plain,(
% 251.83/32.50 colinear(w,u,y)),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f138])).
% 251.83/32.50 fof(f1079,plain,(
% 251.83/32.50 colinear(u,y,w)),
% 251.83/32.50 inference(resolution,[status(thm)],[f266,f137])).
% 251.83/32.50 fof(f1080,definition,(
% 251.83/32.50 sQ45_spl <=> (w=extension(u,y,y,w))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1081,plain,(
% 251.83/32.50 w=extension(u,y,y,w)|~sQ45_spl),
% 251.83/32.50 inference(component_clause,[status(thm)],[f1080])).
% 251.83/32.50 fof(f1083,plain,(
% 251.83/32.50 sQ15_spl|sQ45_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1067,f517,f1080])).
% 251.83/32.50 fof(f1084,definition,(
% 251.83/32.50 ![X0]: (sQ46_spl <=> (~between(u,y,X0)|~equidistant(y,w,y,X0)|w=X0))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1087,plain,(
% 251.83/32.50 sQ46_spl|sQ15_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1068,f1084,f517])).
% 251.83/32.50 fof(f1088,definition,(
% 251.83/32.50 ![X0,X1]: (sQ47_spl <=> (~between(X0,y,X1)|between(euclid1(u,X0,y,X1,w),w,euclid2(u,X0,y,X1,w))))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1091,plain,(
% 251.83/32.50 sQ47_spl|sQ15_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1069,f1088,f517])).
% 251.83/32.50 fof(f1092,definition,(
% 251.83/32.50 ![X0,X1]: (sQ48_spl <=> (~between(X0,y,X1)|between(u,X1,euclid2(u,X0,y,X1,w))))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1095,plain,(
% 251.83/32.50 sQ48_spl|sQ15_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1070,f1092,f517])).
% 251.83/32.50 fof(f1096,definition,(
% 251.83/32.50 ![X0,X1]: (sQ49_spl <=> (~between(X0,y,X1)|between(u,X0,euclid1(u,X0,y,X1,w))))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 251.83/32.50 fof(f1099,plain,(
% 251.83/32.50 sQ49_spl|sQ15_spl),
% 251.83/32.50 inference(split_clause,[status(thm)],[f1071,f1096,f517])).
% 251.83/32.50 fof(f1100,plain,(
% 251.83/32.50 ![X0,X1]: (~colinear(v,u,X0)|~colinear(v,u,X1)|colinear(w,X0,X1)|v=u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f542,f262])).
% 251.83/32.50 fof(f1101,plain,(
% 251.83/32.50 ![X0]: (~colinear(X0,u,w)|colinear(X0,v,u)|w=u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f542,f260])).
% 251.83/32.50 fof(f1102,plain,(
% 251.83/32.50 ![X0]: (~colinear(X0,u,w)|colinear(X0,v,w)|w=u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f542,f258])).
% 251.83/32.50 fof(f1103,plain,(
% 251.83/32.50 ![X0]: (~colinear(v,u,X0)|colinear(u,w,X0)|v=u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f542,f256])).
% 251.83/32.50 fof(f1104,plain,(
% 251.83/32.50 ![X0]: (~colinear(v,u,X0)|colinear(v,w,X0)|v=u)),
% 251.83/32.50 inference(resolution,[status(thm)],[f542,f254])).
% 251.83/32.50 fof(f1111,definition,(
% 251.83/32.50 ![X0,X1]: (sQ50_spl <=> (~colinear(v,u,X0)|~colinear(v,u,X1)|colinear(w,X0,X1)))),
% 251.83/32.50 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1114,plain,(
% 251.83/32.51 sQ50_spl|sQ10_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1100,f1111,f468])).
% 251.83/32.51 fof(f1115,definition,(
% 251.83/32.51 ![X0]: (sQ51_spl <=> (~colinear(X0,u,w)|colinear(X0,v,u)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1118,plain,(
% 251.83/32.51 sQ51_spl|sQ12_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1101,f1115,f475])).
% 251.83/32.51 fof(f1119,definition,(
% 251.83/32.51 ![X0]: (sQ52_spl <=> (~colinear(X0,u,w)|colinear(X0,v,w)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1122,plain,(
% 251.83/32.51 sQ52_spl|sQ12_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1102,f1119,f475])).
% 251.83/32.51 fof(f1123,definition,(
% 251.83/32.51 ![X0]: (sQ53_spl <=> (~colinear(v,u,X0)|colinear(u,w,X0)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1126,plain,(
% 251.83/32.51 sQ53_spl|sQ10_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1103,f1123,f468])).
% 251.83/32.51 fof(f1127,definition,(
% 251.83/32.51 ![X0]: (sQ54_spl <=> (~colinear(v,u,X0)|colinear(v,w,X0)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1130,plain,(
% 251.83/32.51 sQ54_spl|sQ10_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1104,f1127,f468])).
% 251.83/32.51 fof(f1132,plain,(
% 251.83/32.51 ![X0,X1]: (extension(X0,X1,u,w)=extension(X0,X1,v,x)|X0=X1)),
% 251.83/32.51 inference(resolution,[status(thm)],[f168,f265])).
% 251.83/32.51 fof(f1133,plain,(
% 251.83/32.51 ![X0,X1]: (extension(X0,X1,u,v)=extension(X0,X1,w,x)|X0=X1)),
% 251.83/32.51 inference(resolution,[status(thm)],[f168,f263])).
% 251.83/32.51 fof(f1134,plain,(
% 251.83/32.51 ![X0,X1,X2,X3]: (extension(X0,X1,X2,reflection(X3,X2))=extension(X0,X1,X3,X2)|X0=X1)),
% 251.83/32.51 inference(resolution,[status(thm)],[f168,f157])).
% 251.83/32.51 fof(f1135,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5]: (extension(X0,X1,X2,extension(X3,X2,X4,X5))=extension(X0,X1,X4,X5)|X0=X1)),
% 251.83/32.51 inference(resolution,[status(thm)],[f168,f121])).
% 251.83/32.51 fof(f1138,plain,(
% 251.83/32.51 ![X0,X1,X2,X3]: (extension(X0,X1,X2,X3)=extension(X0,X1,X3,X2)|X0=X1)),
% 251.83/32.51 inference(resolution,[status(thm)],[f168,f115])).
% 251.83/32.51 fof(f1140,plain,(
% 251.83/32.51 ![X0,X1]: (reflection(X0,X1)=extension(X0,X1,X1,X0)|X0=X1)),
% 251.83/32.51 inference(forward_demodulation,[status(thm)],[f141,f169])).
% 251.83/32.51 fof(f1141,plain,(
% 251.83/32.51 ![X0,X1]: (reflection(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1)=insertion(X1,X0,X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2))|extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)=X1)),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f142,f1140])).
% 251.83/32.51 fof(f1145,plain,(
% 251.83/32.51 ![X0,X1]: (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1)=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f1140,f142])).
% 251.83/32.51 fof(f1150,definition,(
% 251.83/32.51 ![X0,X1]: (sQ55_spl <=> (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1)=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1151,plain,(
% 251.83/32.51 ![X0,X1]: (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1)=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)|~sQ55_spl)),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1150])).
% 251.83/32.51 fof(f1153,definition,(
% 251.83/32.51 sQ56_spl <=> (lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1154,plain,(
% 251.83/32.51 lower_dimension_point_2=lower_dimension_point_1|~sQ56_spl),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1153])).
% 251.83/32.51 fof(f1156,plain,(
% 251.83/32.51 sQ55_spl|sQ56_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1145,f1150,f1153])).
% 251.83/32.51 fof(f1157,plain,(
% 251.83/32.51 $false|~sQ56_spl),
% 251.83/32.51 inference(forward_subsumption_resolution,[status(thm)],[f1154,f197])).
% 251.83/32.51 fof(f1158,plain,(
% 251.83/32.51 ~sQ56_spl),
% 251.83/32.51 inference(contradiction_clause,[status(thm)],[f1157])).
% 251.83/32.51 fof(f1160,plain,(
% 251.83/32.51 ![X0,X1]: (~colinear(w,u,X0)|~colinear(w,u,X1)|colinear(v,X0,X1)|w=u)),
% 251.83/32.51 inference(resolution,[status(thm)],[f543,f262])).
% 251.83/32.51 fof(f1161,plain,(
% 251.83/32.51 ![X0]: (~colinear(X0,u,v)|colinear(X0,w,u)|v=u)),
% 251.83/32.51 inference(resolution,[status(thm)],[f543,f260])).
% 251.83/32.51 fof(f1162,plain,(
% 251.83/32.51 ![X0]: (~colinear(X0,u,v)|colinear(X0,w,v)|v=u)),
% 251.83/32.51 inference(resolution,[status(thm)],[f543,f258])).
% 251.83/32.51 fof(f1163,plain,(
% 251.83/32.51 ![X0]: (~colinear(w,u,X0)|colinear(u,v,X0)|w=u)),
% 251.83/32.51 inference(resolution,[status(thm)],[f543,f256])).
% 251.83/32.51 fof(f1164,plain,(
% 251.83/32.51 ![X0]: (~colinear(w,u,X0)|colinear(w,v,X0)|w=u)),
% 251.83/32.51 inference(resolution,[status(thm)],[f543,f254])).
% 251.83/32.51 fof(f1166,plain,(
% 251.83/32.51 colinear(v,w,u)),
% 251.83/32.51 inference(resolution,[status(thm)],[f543,f243])).
% 251.83/32.51 fof(f1171,definition,(
% 251.83/32.51 ![X0,X1]: (sQ57_spl <=> (~colinear(w,u,X0)|~colinear(w,u,X1)|colinear(v,X0,X1)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1174,plain,(
% 251.83/32.51 sQ57_spl|sQ12_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1160,f1171,f475])).
% 251.83/32.51 fof(f1175,definition,(
% 251.83/32.51 ![X0]: (sQ58_spl <=> (~colinear(X0,u,v)|colinear(X0,w,u)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1178,plain,(
% 251.83/32.51 sQ58_spl|sQ10_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1161,f1175,f468])).
% 251.83/32.51 fof(f1179,definition,(
% 251.83/32.51 ![X0]: (sQ59_spl <=> (~colinear(X0,u,v)|colinear(X0,w,v)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1182,plain,(
% 251.83/32.51 sQ59_spl|sQ10_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1162,f1179,f468])).
% 251.83/32.51 fof(f1183,definition,(
% 251.83/32.51 ![X0]: (sQ60_spl <=> (~colinear(w,u,X0)|colinear(u,v,X0)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1186,plain,(
% 251.83/32.51 sQ60_spl|sQ12_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1163,f1183,f475])).
% 251.83/32.51 fof(f1187,definition,(
% 251.83/32.51 ![X0]: (sQ61_spl <=> (~colinear(w,u,X0)|colinear(w,v,X0)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1190,plain,(
% 251.83/32.51 sQ61_spl|sQ12_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1164,f1187,f475])).
% 251.83/32.51 fof(f1198,plain,(
% 251.83/32.51 ![X0,X1]: (~colinear(v,w,X0)|~colinear(v,w,X1)|colinear(u,X0,X1)|v=w)),
% 251.83/32.51 inference(resolution,[status(thm)],[f545,f262])).
% 251.83/32.51 fof(f1199,plain,(
% 251.83/32.51 ![X0]: (~colinear(X0,w,u)|colinear(X0,v,w)|u=w)),
% 251.83/32.51 inference(resolution,[status(thm)],[f545,f260])).
% 251.83/32.51 fof(f1200,plain,(
% 251.83/32.51 ![X0]: (~colinear(X0,w,u)|colinear(X0,v,u)|u=w)),
% 251.83/32.51 inference(resolution,[status(thm)],[f545,f258])).
% 251.83/32.51 fof(f1201,plain,(
% 251.83/32.51 ![X0]: (~colinear(v,w,X0)|colinear(w,u,X0)|v=w)),
% 251.83/32.51 inference(resolution,[status(thm)],[f545,f256])).
% 251.83/32.51 fof(f1202,plain,(
% 251.83/32.51 ![X0]: (~colinear(v,w,X0)|colinear(v,u,X0)|v=w)),
% 251.83/32.51 inference(resolution,[status(thm)],[f545,f254])).
% 251.83/32.51 fof(f1209,definition,(
% 251.83/32.51 ![X0,X1]: (sQ62_spl <=> (~colinear(v,w,X0)|~colinear(v,w,X1)|colinear(u,X0,X1)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1212,plain,(
% 251.83/32.51 sQ62_spl|sQ7_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1198,f1209,f457])).
% 251.83/32.51 fof(f1213,definition,(
% 251.83/32.51 ![X0]: (sQ63_spl <=> (~colinear(X0,w,u)|colinear(X0,v,w)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1216,plain,(
% 251.83/32.51 sQ63_spl|sQ12_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1199,f1213,f475])).
% 251.83/32.51 fof(f1217,definition,(
% 251.83/32.51 ![X0]: (sQ64_spl <=> (~colinear(X0,w,u)|colinear(X0,v,u)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1220,plain,(
% 251.83/32.51 sQ64_spl|sQ12_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1200,f1217,f475])).
% 251.83/32.51 fof(f1221,definition,(
% 251.83/32.51 ![X0]: (sQ65_spl <=> (~colinear(v,w,X0)|colinear(w,u,X0)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1224,plain,(
% 251.83/32.51 sQ65_spl|sQ7_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1201,f1221,f457])).
% 251.83/32.51 fof(f1225,definition,(
% 251.83/32.51 ![X0]: (sQ66_spl <=> (~colinear(v,w,X0)|colinear(v,u,X0)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1228,plain,(
% 251.83/32.51 sQ66_spl|sQ7_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1202,f1225,f457])).
% 251.83/32.51 fof(f1230,plain,(
% 251.83/32.51 ![X0,X1]: (extension(X0,X1,v,w)=extension(X0,X1,x,u)|X0=X1)),
% 251.83/32.51 inference(resolution,[status(thm)],[f264,f168])).
% 251.83/32.51 fof(f1233,plain,(
% 251.83/32.51 equidistant(u,x,w,v)),
% 251.83/32.51 inference(resolution,[status(thm)],[f264,f150])).
% 251.83/32.51 fof(f1234,plain,(
% 251.83/32.51 equidistant(u,x,v,w)),
% 251.83/32.51 inference(resolution,[status(thm)],[f264,f149])).
% 251.83/32.51 fof(f1235,plain,(
% 251.83/32.51 equidistant(x,u,w,v)),
% 251.83/32.51 inference(resolution,[status(thm)],[f264,f148])).
% 251.83/32.51 fof(f1236,plain,(
% 251.83/32.51 equidistant(w,v,u,x)),
% 251.83/32.51 inference(resolution,[status(thm)],[f264,f147])).
% 251.83/32.51 fof(f1237,plain,(
% 251.83/32.51 equidistant(v,w,u,x)),
% 251.83/32.51 inference(resolution,[status(thm)],[f264,f146])).
% 251.83/32.51 fof(f1238,plain,(
% 251.83/32.51 equidistant(w,v,x,u)),
% 251.83/32.51 inference(resolution,[status(thm)],[f264,f145])).
% 251.83/32.51 fof(f1239,plain,(
% 251.83/32.51 equidistant(x,u,v,w)),
% 251.83/32.51 inference(resolution,[status(thm)],[f264,f144])).
% 251.83/32.51 fof(f1240,plain,(
% 251.83/32.51 ![X0,X1]: (~equidistant(w,X0,u,X1)|~equidistant(v,X0,x,X1)|~colinear(v,w,X0)|colinear(x,u,X1))),
% 251.83/32.51 inference(resolution,[status(thm)],[f264,f252])).
% 251.83/32.51 fof(f1277,plain,(
% 251.83/32.51 ![X0,X1]: (~between(X0,X1,reflection(X1,X0))|X1=X0)),
% 251.83/32.51 inference(resolution,[status(thm)],[f178,f156])).
% 251.83/32.51 fof(f1278,plain,(
% 251.83/32.51 ![X0,X1,X2,X3]: (~between(X0,X1,extension(X1,X0,X2,X3))|X1=X0)),
% 251.83/32.51 inference(resolution,[status(thm)],[f178,f120])).
% 251.83/32.51 fof(f1320,plain,(
% 251.83/32.51 ~between(u,v,x)|v=u|~sQ15_spl),
% 251.83/32.51 inference(resolution,[status(thm)],[f581,f178])).
% 251.83/32.51 fof(f1322,plain,(
% 251.83/32.51 v=u|x=extension(v,u,u,x)|~sQ15_spl),
% 251.83/32.51 inference(resolution,[status(thm)],[f581,f166])).
% 251.83/32.51 fof(f1335,definition,(
% 251.83/32.51 sQ67_spl <=> (between(u,v,x))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1336,plain,(
% 251.83/32.51 between(u,v,x)|~sQ67_spl),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1335])).
% 251.83/32.51 fof(f1338,plain,(
% 251.83/32.51 ~sQ67_spl|sQ10_spl|~sQ15_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1320,f1335,f468,f517])).
% 251.83/32.51 fof(f1339,definition,(
% 251.83/32.51 sQ68_spl <=> (x=extension(v,u,u,x))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1340,plain,(
% 251.83/32.51 x=extension(v,u,u,x)|~sQ68_spl),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1339])).
% 251.83/32.51 fof(f1342,plain,(
% 251.83/32.51 sQ10_spl|sQ68_spl|~sQ15_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1322,f468,f1339,f517])).
% 251.83/32.51 fof(f1356,definition,(
% 251.83/32.51 sQ69_spl <=> (between(v,x,u))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1359,definition,(
% 251.83/32.51 sQ70_spl <=> (u=x)),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1360,plain,(
% 251.83/32.51 u=x|~sQ70_spl),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1359])).
% 251.83/32.51 fof(f1401,plain,(
% 251.83/32.51 $false|~sQ70_spl),
% 251.83/32.51 inference(forward_subsumption_resolution,[status(thm)],[f1360,f269])).
% 251.83/32.51 fof(f1402,plain,(
% 251.83/32.51 ~sQ70_spl),
% 251.83/32.51 inference(contradiction_clause,[status(thm)],[f1401])).
% 251.83/32.51 fof(f1440,definition,(
% 251.83/32.51 sQ73_spl <=> (y=v)),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1441,plain,(
% 251.83/32.51 y=v|~sQ73_spl),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1440])).
% 251.83/32.51 fof(f1468,plain,(
% 251.83/32.51 u=v|~sQ15_spl|~sQ73_spl),
% 251.83/32.51 inference(backward_demodulation,[status(thm)],[f518,f1441])).
% 251.83/32.51 fof(f1469,plain,(
% 251.83/32.51 sQ10_spl|~sQ15_spl|~sQ73_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1468,f468,f517,f1440])).
% 251.83/32.51 fof(f1495,definition,(
% 251.83/32.51 ![X0]: (sQ79_spl <=> (~between(u,x,X0)|between(v,u,X0)))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1496,plain,(
% 251.83/32.51 ![X0]: (~between(u,x,X0)|between(v,u,X0)|~sQ79_spl)),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1495])).
% 251.83/32.51 fof(f1519,plain,(
% 251.83/32.51 ~lower_dimension_point_1=reflection(lower_dimension_point_2,lower_dimension_point_1)|lower_dimension_point_2=lower_dimension_point_1),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f1140,f200])).
% 251.83/32.51 fof(f1520,plain,(
% 251.83/32.51 ~lower_dimension_point_2=reflection(lower_dimension_point_1,lower_dimension_point_2)),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f141,f200])).
% 251.83/32.51 fof(f1521,definition,(
% 251.83/32.51 sQ80_spl <=> (lower_dimension_point_1=reflection(lower_dimension_point_2,lower_dimension_point_1))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1524,plain,(
% 251.83/32.51 ~sQ80_spl|sQ56_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1519,f1521,f1153])).
% 251.83/32.51 fof(f1528,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5]: (extension(X0,X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))=extension(X0,X1,X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2))|X0=X1)),
% 251.83/32.51 inference(resolution,[status(thm)],[f201,f168])).
% 251.83/32.51 fof(f1529,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(X4,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|equidistant(X1,X2,X4,X5))),
% 251.83/32.51 inference(resolution,[status(thm)],[f201,f163])).
% 251.83/32.51 fof(f1530,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X2,X3)|equidistant(X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2),X2,X3))),
% 251.83/32.51 inference(resolution,[status(thm)],[f201,f152])).
% 251.83/32.51 fof(f1531,plain,(
% 251.83/32.51 ![X0,X1,X2,X3]: (equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,extension(X2,X3,lower_dimension_point_1,lower_dimension_point_2),X3))),
% 251.83/32.51 inference(resolution,[status(thm)],[f201,f150])).
% 251.83/32.51 fof(f1532,plain,(
% 251.83/32.51 ![X0,X1,X2,X3]: (equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.51 inference(resolution,[status(thm)],[f201,f149])).
% 251.83/32.51 fof(f1533,plain,(
% 251.83/32.51 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),extension(X2,X3,lower_dimension_point_1,lower_dimension_point_2),X3))),
% 251.83/32.51 inference(resolution,[status(thm)],[f201,f148])).
% 251.83/32.51 fof(f1540,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|~equidistant(X1,X2,X4,X5)|~colinear(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|colinear(X4,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5))),
% 251.83/32.51 inference(resolution,[status(thm)],[f201,f252])).
% 251.83/32.51 fof(f1541,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4]: (~equidistant(X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X0,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))|~equidistant(X4,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X4,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))|between(X2,X0,X4)|between(X0,X4,X2)|between(X4,X2,X0)|extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)=extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))),
% 251.83/32.51 inference(resolution,[status(thm)],[f201,f131])).
% 251.83/32.51 fof(f1542,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|~equidistant(X1,X6,X4,X7)|~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X6,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X7)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(X4,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|X1=extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)|equidistant(X2,X6,X5,X7))),
% 251.83/32.51 inference(resolution,[status(thm)],[f201,f123])).
% 251.83/32.51 fof(f1544,plain,(
% 251.83/32.51 ![X0,X1,X2,X3]: (equidistant(X0,insertion(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f142,f201])).
% 251.83/32.51 fof(f1545,plain,(
% 251.83/32.51 ![X0,X1]: (equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f1140,f201])).
% 251.83/32.51 fof(f1546,plain,(
% 251.83/32.51 ![X0,X1]: (equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f141,f201])).
% 251.83/32.51 fof(f1547,plain,(
% 251.83/32.51 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X2,insertion(X2,X3,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f142,f201])).
% 251.83/32.51 fof(f1548,plain,(
% 251.83/32.51 ![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))|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f1140,f201])).
% 251.83/32.51 fof(f1549,plain,(
% 251.83/32.51 ![X0,X1]: (equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.51 inference(paramodulation,[status(thm)],[f141,f201])).
% 251.83/32.51 fof(f1550,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|~equidistant(X1,X6,X4,X7)|~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X6,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X7)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(X4,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|equidistant(X2,X6,X5,X7))),
% 251.83/32.51 inference(forward_subsumption_resolution,[status(thm)],[f1542,f200])).
% 251.83/32.51 fof(f1551,definition,(
% 251.83/32.51 ![X0,X1]: (sQ81_spl <=> (equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1552,plain,(
% 251.83/32.51 ![X0,X1]: (equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))|~sQ81_spl)),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1551])).
% 251.83/32.51 fof(f1554,plain,(
% 251.83/32.51 sQ81_spl|sQ56_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1545,f1551,f1153])).
% 251.83/32.51 fof(f1555,definition,(
% 251.83/32.51 ![X0,X1]: (sQ82_spl <=> (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))))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1556,plain,(
% 251.83/32.51 ![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))|~sQ82_spl)),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1555])).
% 251.83/32.51 fof(f1558,plain,(
% 251.83/32.51 sQ82_spl|sQ56_spl),
% 251.83/32.51 inference(split_clause,[status(thm)],[f1548,f1555,f1153])).
% 251.83/32.51 fof(f1582,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4]: (~equidistant(X0,extension(X0,X1,X2,X3),X0,X4)|~equidistant(X1,extension(X0,X1,X2,X3),X1,X4)|X0=X1|extension(X0,X1,X2,X3)=X4)),
% 251.83/32.51 inference(resolution,[status(thm)],[f205,f120])).
% 251.83/32.51 fof(f1584,plain,(
% 251.83/32.51 ![X0,X1,X2]: (~equidistant(X0,X1,X0,X2)|~equidistant(X1,X1,X1,X2)|X0=X1|X1=X2)),
% 251.83/32.51 inference(resolution,[status(thm)],[f205,f172])).
% 251.83/32.51 fof(f1636,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|~equidistant(X1,X6,X4,X7)|~equidistant(X2,X6,X5,X7)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(X4,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X6,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X7))),
% 251.83/32.51 inference(resolution,[status(thm)],[f211,f201])).
% 251.83/32.51 fof(f1649,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5]: (extension(X0,X1,X2,X3)=extension(X0,X1,X4,insertion(X4,X5,X2,X3))|X0=X1)),
% 251.83/32.51 inference(resolution,[status(thm)],[f214,f168])).
% 251.83/32.51 fof(f1663,plain,(
% 251.83/32.51 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,insertion(X2,X3,X4,X0),X5)|~equidistant(X4,X6,X2,X7)|~equidistant(X0,X6,insertion(X2,X3,X4,X0),X7)|~between(X4,X0,X1)|~between(X2,insertion(X2,X3,X4,X0),X5)|X4=X0|equidistant(X1,X6,X5,X7))),
% 251.83/32.51 inference(resolution,[status(thm)],[f214,f123])).
% 251.83/32.51 fof(f1735,definition,(
% 251.83/32.51 sQ84_spl <=> (between(u,v,v))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1737,plain,(
% 251.83/32.51 ~between(u,v,v)|sQ84_spl),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1735])).
% 251.83/32.51 fof(f1745,definition,(
% 251.83/32.51 sQ87_spl <=> (between(v,x,v))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1746,plain,(
% 251.83/32.51 between(v,x,v)|~sQ87_spl),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1745])).
% 251.83/32.51 fof(f1752,definition,(
% 251.83/32.51 sQ89_spl <=> (between(v,x,x))),
% 251.83/32.51 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 251.83/32.51 fof(f1754,plain,(
% 251.83/32.51 ~between(v,x,x)|sQ89_spl),
% 251.83/32.51 inference(component_clause,[status(thm)],[f1752])).
% 251.83/32.52 fof(f1760,plain,(
% 251.83/32.52 $false|sQ84_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f1737,f172])).
% 251.83/32.52 fof(f1761,plain,(
% 251.83/32.52 sQ84_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f1760])).
% 251.83/32.52 fof(f1802,plain,(
% 251.83/32.52 ![X0,X1,X2,X3,X4,X5]: (insertion(X0,X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))=insertion(X0,X1,X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.52 inference(resolution,[status(thm)],[f220,f201])).
% 251.83/32.52 fof(f1813,plain,(
% 251.83/32.52 ![X0,X1,X2,X3,X4,X5]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5)|~equidistant(X1,X2,X4,X5)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|between(X4,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X5))),
% 251.83/32.52 inference(resolution,[status(thm)],[f222,f201])).
% 251.83/32.52 fof(f1818,plain,(
% 251.83/32.52 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|~equidistant(X2,X1,X0,X3)|~between(X2,X0,X1)|between(X0,X2,X3))),
% 251.83/32.52 inference(resolution,[status(thm)],[f222,f115])).
% 251.83/32.52 fof(f1823,plain,(
% 251.83/32.52 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|X0=X1|between(X0,extension(X0,X1,X3,X4),X2)|between(X0,X2,extension(X0,X1,X3,X4)))),
% 251.83/32.52 inference(resolution,[status(thm)],[f224,f120])).
% 251.83/32.52 fof(f1836,definition,(
% 251.83/32.52 sQ92_spl <=> (between(x,u,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f1837,plain,(
% 251.83/32.52 between(x,u,v)|~sQ92_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f1836])).
% 251.83/32.52 fof(f1843,definition,(
% 251.83/32.52 sQ94_spl <=> (between(x,u,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f1845,plain,(
% 251.83/32.52 ~between(x,u,u)|sQ94_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f1843])).
% 251.83/32.52 fof(f1877,definition,(
% 251.83/32.52 sQ98_spl <=> (colinear(v,x,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f1878,plain,(
% 251.83/32.52 colinear(v,x,u)|~sQ98_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f1877])).
% 251.83/32.52 fof(f1884,definition,(
% 251.83/32.52 sQ100_spl <=> (colinear(v,u,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f1886,plain,(
% 251.83/32.52 ~colinear(v,u,v)|sQ100_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f1884])).
% 251.83/32.52 fof(f1887,definition,(
% 251.83/32.52 sQ101_spl <=> (colinear(u,v,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f1888,plain,(
% 251.83/32.52 colinear(u,v,x)|~sQ101_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f1887])).
% 251.83/32.52 fof(f1891,plain,(
% 251.83/32.52 $false|sQ100_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f1886,f247])).
% 251.83/32.52 fof(f1892,plain,(
% 251.83/32.52 sQ100_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f1891])).
% 251.83/32.52 fof(f1901,plain,(
% 251.83/32.52 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|X0=X1|between(X1,extension(X0,X1,X3,X4),X2)|between(X1,X2,extension(X0,X1,X3,X4)))),
% 251.83/32.52 inference(resolution,[status(thm)],[f226,f120])).
% 251.83/32.52 fof(f1944,definition,(
% 251.83/32.52 sQ105_spl <=> (colinear(x,v,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f1945,plain,(
% 251.83/32.52 colinear(x,v,u)|~sQ105_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f1944])).
% 251.83/32.52 fof(f1947,definition,(
% 251.83/32.52 sQ106_spl <=> (colinear(v,x,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f1989,definition,(
% 251.83/32.52 sQ111_spl <=> (colinear(u,v,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f1991,plain,(
% 251.83/32.52 ~colinear(u,v,v)|sQ111_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f1989])).
% 251.83/32.52 fof(f1992,definition,(
% 251.83/32.52 sQ112_spl <=> (colinear(v,u,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f1993,plain,(
% 251.83/32.52 colinear(v,u,x)|~sQ112_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f1992])).
% 251.83/32.52 fof(f2008,plain,(
% 251.83/32.52 $false|sQ111_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f1991,f248])).
% 251.83/32.52 fof(f2009,plain,(
% 251.83/32.52 sQ111_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f2008])).
% 251.83/32.52 fof(f2027,plain,(
% 251.83/32.52 ![X0,X1,X2]: (~between(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),extension(X2,X0,lower_dimension_point_1,lower_dimension_point_2))|extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2)=extension(X2,X0,lower_dimension_point_1,lower_dimension_point_2))),
% 251.83/32.52 inference(resolution,[status(thm)],[f236,f201])).
% 251.83/32.52 fof(f2029,plain,(
% 251.83/32.52 ![X0,X1,X2]: (~between(X0,X1,insertion(X0,X2,X0,X1))|X1=insertion(X0,X2,X0,X1))),
% 251.83/32.52 inference(resolution,[status(thm)],[f236,f214])).
% 251.83/32.52 fof(f2056,definition,(
% 251.83/32.52 sQ115_spl <=> (colinear(x,u,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2058,plain,(
% 251.83/32.52 ~colinear(x,u,v)|sQ115_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2056])).
% 251.83/32.52 fof(f2059,definition,(
% 251.83/32.52 sQ116_spl <=> (colinear(u,x,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2070,plain,(
% 251.83/32.52 equidistant(x,u,v,v)|~sQ7_spl),
% 251.83/32.52 inference(forward_demodulation,[status(thm)],[f458,f752])).
% 251.83/32.52 fof(f2088,plain,(
% 251.83/32.52 x=u|~sQ7_spl),
% 251.83/32.52 inference(resolution,[status(thm)],[f2070,f119])).
% 251.83/32.52 fof(f2103,plain,(
% 251.83/32.52 sQ70_spl|~sQ7_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f2088,f1359,f457])).
% 251.83/32.52 fof(f2105,plain,(
% 251.83/32.52 $false|sQ94_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f1845,f172])).
% 251.83/32.52 fof(f2106,plain,(
% 251.83/32.52 sQ94_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f2105])).
% 251.83/32.52 fof(f2107,plain,(
% 251.83/32.52 $false|sQ89_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f1754,f172])).
% 251.83/32.52 fof(f2108,plain,(
% 251.83/32.52 sQ89_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f2107])).
% 251.83/32.52 fof(f2110,plain,(
% 251.83/32.52 ![X0,X1]: (~between(y,X0,X1)|~between(v,X1,x)|between(v,X0,x))),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f234])).
% 251.83/32.52 fof(f2111,plain,(
% 251.83/32.52 ![X0]: (~between(v,X0,x)|between(y,X0,x)|between(X0,y,x))),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f232])).
% 251.83/32.52 fof(f2112,plain,(
% 251.83/32.52 ![X0]: (~between(v,X0,x)|between(v,y,X0)|between(v,X0,y))),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f230])).
% 251.83/32.52 fof(f2116,plain,(
% 251.83/32.52 y=insertion(v,x,v,y)),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f218])).
% 251.83/32.52 fof(f2119,plain,(
% 251.83/32.52 ![X0]: (~equidistant(v,y,v,X0)|~equidistant(x,y,x,X0)|y=X0)),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f213])).
% 251.83/32.52 fof(f2120,plain,(
% 251.83/32.52 ![X0,X1,X2]: (~between(X0,X1,X2)|~equidistant(v,y,X0,X1)|~equidistant(v,x,X0,X2)|equidistant(y,x,X1,X2))),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f209])).
% 251.83/32.52 fof(f2121,plain,(
% 251.83/32.52 ![X0]: (~equidistant(v,x,v,X0)|~equidistant(y,x,y,X0)|v=y|x=X0)),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f205])).
% 251.83/32.52 fof(f2127,plain,(
% 251.83/32.52 ![X0]: (~between(v,x,X0)|between(y,x,X0))),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f188])).
% 251.83/32.52 fof(f2138,plain,(
% 251.83/32.52 colinear(y,v,x)),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f239])).
% 251.83/32.52 fof(f2139,plain,(
% 251.83/32.52 colinear(v,x,y)),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f238])).
% 251.83/32.52 fof(f2141,plain,(
% 251.83/32.52 colinear(y,x,v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f139])).
% 251.83/32.52 fof(f2142,plain,(
% 251.83/32.52 colinear(x,v,y)),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f138])).
% 251.83/32.52 fof(f2159,definition,(
% 251.83/32.52 ![X0]: (sQ124_spl <=> (~equidistant(v,x,v,X0)|~equidistant(y,x,y,X0)|x=X0))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2160,plain,(
% 251.83/32.52 ![X0]: (~equidistant(v,x,v,X0)|~equidistant(y,x,y,X0)|x=X0|~sQ124_spl)),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2159])).
% 251.83/32.52 fof(f2162,plain,(
% 251.83/32.52 sQ124_spl|sQ73_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f2121,f2159,f1440])).
% 251.83/32.52 fof(f2227,plain,(
% 251.83/32.52 ![X0]: (~between(u,X0,w)|between(y,X0,w)|between(X0,y,w))),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f232])).
% 251.83/32.52 fof(f2228,plain,(
% 251.83/32.52 ![X0]: (~between(u,X0,w)|between(u,y,X0)|between(u,X0,y))),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f230])).
% 251.83/32.52 fof(f2230,plain,(
% 251.83/32.52 ![X0]: (~between(u,y,X0)|u=y|between(y,w,X0)|between(y,X0,w))),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f226])).
% 251.83/32.52 fof(f2231,plain,(
% 251.83/32.52 ![X0]: (~between(u,y,X0)|u=y|between(u,w,X0)|between(u,X0,w))),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f224])).
% 251.83/32.52 fof(f2232,plain,(
% 251.83/32.52 y=insertion(u,w,u,y)),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f218])).
% 251.83/32.52 fof(f2236,plain,(
% 251.83/32.52 ![X0,X1,X2]: (~between(X0,X1,X2)|~equidistant(u,y,X0,X1)|~equidistant(u,w,X0,X2)|equidistant(y,w,X1,X2))),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f209])).
% 251.83/32.52 fof(f2237,plain,(
% 251.83/32.52 ![X0]: (~equidistant(u,w,u,X0)|~equidistant(y,w,y,X0)|u=y|w=X0)),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f205])).
% 251.83/32.52 fof(f2243,plain,(
% 251.83/32.52 ![X0]: (~between(u,w,X0)|between(y,w,X0))),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f188])).
% 251.83/32.52 fof(f2245,plain,(
% 251.83/32.52 ~between(y,u,w)|u=y),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f178])).
% 251.83/32.52 fof(f2246,plain,(
% 251.83/32.52 between(w,y,u)),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f175])).
% 251.83/32.52 fof(f2267,definition,(
% 251.83/32.52 ![X0]: (sQ138_spl <=> (~between(u,y,X0)|between(y,w,X0)|between(y,X0,w)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2268,plain,(
% 251.83/32.52 ![X0]: (~between(u,y,X0)|between(y,w,X0)|between(y,X0,w)|~sQ138_spl)),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2267])).
% 251.83/32.52 fof(f2270,plain,(
% 251.83/32.52 sQ138_spl|sQ15_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f2230,f2267,f517])).
% 251.83/32.52 fof(f2271,definition,(
% 251.83/32.52 ![X0]: (sQ139_spl <=> (~between(u,y,X0)|between(u,w,X0)|between(u,X0,w)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2274,plain,(
% 251.83/32.52 sQ139_spl|sQ15_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f2231,f2271,f517])).
% 251.83/32.52 fof(f2275,definition,(
% 251.83/32.52 ![X0]: (sQ140_spl <=> (~equidistant(u,w,u,X0)|~equidistant(y,w,y,X0)|w=X0))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2276,plain,(
% 251.83/32.52 ![X0]: (~equidistant(u,w,u,X0)|~equidistant(y,w,y,X0)|w=X0|~sQ140_spl)),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2275])).
% 251.83/32.52 fof(f2278,plain,(
% 251.83/32.52 sQ140_spl|sQ15_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f2237,f2275,f517])).
% 251.83/32.52 fof(f2291,definition,(
% 251.83/32.52 sQ144_spl <=> (between(y,u,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2294,plain,(
% 251.83/32.52 ~sQ144_spl|sQ15_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f2245,f2291,f517])).
% 251.83/32.52 fof(f2321,plain,(
% 251.83/32.52 ![X0,X1]: (~equidistant(w,X0,x,X1)|~equidistant(u,X0,v,X1)|~between(u,w,X0)|between(v,x,X1))),
% 251.83/32.52 inference(resolution,[status(thm)],[f265,f222])).
% 251.83/32.52 fof(f2322,plain,(
% 251.83/32.52 ![X0,X1]: (insertion(X0,X1,u,w)=insertion(X0,X1,v,x))),
% 251.83/32.52 inference(resolution,[status(thm)],[f265,f220])).
% 251.83/32.52 fof(f2323,plain,(
% 251.83/32.52 ![X0,X1,X2,X3]: (~equidistant(w,X0,x,X1)|~equidistant(u,X2,v,X3)|~equidistant(X0,X2,X1,X3)|~between(u,w,X0)|~between(v,x,X1)|equidistant(w,X2,x,X3))),
% 251.83/32.52 inference(resolution,[status(thm)],[f265,f211])).
% 251.83/32.52 fof(f2325,plain,(
% 251.83/32.52 ![X0,X1]: (extension(X0,X1,u,w)=extension(X0,X1,v,x)|X0=X1)),
% 251.83/32.52 inference(resolution,[status(thm)],[f265,f168])).
% 251.83/32.52 fof(f2328,plain,(
% 251.83/32.52 equidistant(x,v,w,u)),
% 251.83/32.52 inference(resolution,[status(thm)],[f265,f150])).
% 251.83/32.52 fof(f2329,plain,(
% 251.83/32.52 equidistant(x,v,u,w)),
% 251.83/32.52 inference(resolution,[status(thm)],[f265,f149])).
% 251.83/32.52 fof(f2331,plain,(
% 251.83/32.52 equidistant(w,u,x,v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f265,f147])).
% 251.83/32.52 fof(f2332,plain,(
% 251.83/32.52 equidistant(u,w,x,v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f265,f146])).
% 251.83/32.52 fof(f2333,plain,(
% 251.83/32.52 equidistant(w,u,v,x)),
% 251.83/32.52 inference(resolution,[status(thm)],[f265,f145])).
% 251.83/32.52 fof(f2338,definition,(
% 251.83/32.52 sQ145_spl <=> (equidistant(v,w,u,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2340,plain,(
% 251.83/32.52 ~equidistant(v,w,u,x)|sQ145_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2338])).
% 251.83/32.52 fof(f2341,definition,(
% 251.83/32.52 sQ146_spl <=> (colinear(v,u,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2343,plain,(
% 251.83/32.52 ~colinear(v,u,w)|sQ146_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2341])).
% 251.83/32.52 fof(f2347,plain,(
% 251.83/32.52 ![X0,X1]: (~equidistant(v,X0,x,X1)|~equidistant(u,X0,w,X1)|~between(u,v,X0)|between(w,x,X1))),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f222])).
% 251.83/32.52 fof(f2348,plain,(
% 251.83/32.52 ![X0,X1]: (insertion(X0,X1,u,v)=insertion(X0,X1,w,x))),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f220])).
% 251.83/32.52 fof(f2349,plain,(
% 251.83/32.52 ![X0,X1,X2,X3]: (~equidistant(v,X0,x,X1)|~equidistant(u,X2,w,X3)|~equidistant(X0,X2,X1,X3)|~between(u,v,X0)|~between(w,x,X1)|equidistant(v,X2,x,X3))),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f211])).
% 251.83/32.52 fof(f2351,plain,(
% 251.83/32.52 ![X0,X1]: (extension(X0,X1,u,v)=extension(X0,X1,w,x)|X0=X1)),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f168])).
% 251.83/32.52 fof(f2354,plain,(
% 251.83/32.52 equidistant(x,w,v,u)),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f150])).
% 251.83/32.52 fof(f2355,plain,(
% 251.83/32.52 equidistant(x,w,u,v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f149])).
% 251.83/32.52 fof(f2357,plain,(
% 251.83/32.52 equidistant(v,u,x,w)),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f147])).
% 251.83/32.52 fof(f2358,plain,(
% 251.83/32.52 equidistant(u,v,x,w)),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f146])).
% 251.83/32.52 fof(f2359,plain,(
% 251.83/32.52 equidistant(v,u,w,x)),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f145])).
% 251.83/32.52 fof(f2360,plain,(
% 251.83/32.52 equidistant(w,x,u,v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f263,f144])).
% 251.83/32.52 fof(f2364,definition,(
% 251.83/32.52 sQ147_spl <=> (equidistant(w,v,u,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2366,plain,(
% 251.83/32.52 ~equidistant(w,v,u,x)|sQ147_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2364])).
% 251.83/32.52 fof(f2367,definition,(
% 251.83/32.52 sQ148_spl <=> (colinear(w,u,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2370,definition,(
% 251.83/32.52 sQ149_spl <=> (colinear(u,w,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2371,plain,(
% 251.83/32.52 colinear(u,w,x)|~sQ149_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2370])).
% 251.83/32.52 fof(f2378,plain,(
% 251.83/32.52 ![X0,X1]: (~equidistant(w,X0,u,X1)|~equidistant(v,X0,x,X1)|~between(v,w,X0)|between(x,u,X1))),
% 251.83/32.52 inference(resolution,[status(thm)],[f264,f222])).
% 251.83/32.52 fof(f2379,plain,(
% 251.83/32.52 ![X0,X1]: (insertion(X0,X1,v,w)=insertion(X0,X1,x,u))),
% 251.83/32.52 inference(resolution,[status(thm)],[f264,f220])).
% 251.83/32.52 fof(f2380,plain,(
% 251.83/32.52 ![X0,X1,X2,X3]: (~equidistant(w,X0,u,X1)|~equidistant(v,X2,x,X3)|~equidistant(X0,X2,X1,X3)|~between(v,w,X0)|~between(x,u,X1)|equidistant(w,X2,u,X3))),
% 251.83/32.52 inference(resolution,[status(thm)],[f264,f211])).
% 251.83/32.52 fof(f2382,plain,(
% 251.83/32.52 ![X0,X1]: (extension(X0,X1,v,w)=extension(X0,X1,x,u)|X0=X1)),
% 251.83/32.52 inference(resolution,[status(thm)],[f264,f168])).
% 251.83/32.52 fof(f2386,plain,(
% 251.83/32.52 equidistant(u,x,v,w)),
% 251.83/32.52 inference(resolution,[status(thm)],[f264,f149])).
% 251.83/32.52 fof(f2387,plain,(
% 251.83/32.52 equidistant(x,u,w,v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f264,f148])).
% 251.83/32.52 fof(f2398,definition,(
% 251.83/32.52 sQ151_spl <=> (colinear(x,v,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2442,definition,(
% 251.83/32.52 sQ153_spl <=> (w=x)),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2443,plain,(
% 251.83/32.52 w=x|~sQ153_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2442])).
% 251.83/32.52 fof(f2454,definition,(
% 251.83/32.52 ![X0]: (sQ156_spl <=> (~equidistant(v,x,v,X0)|~equidistant(w,x,w,X0)|x=X0))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2455,plain,(
% 251.83/32.52 ![X0]: (~equidistant(v,x,v,X0)|~equidistant(w,x,w,X0)|x=X0|~sQ156_spl)),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2454])).
% 251.83/32.52 fof(f2466,definition,(
% 251.83/32.52 sQ159_spl <=> (between(v,x,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2467,plain,(
% 251.83/32.52 between(v,x,w)|~sQ159_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2466])).
% 251.83/32.52 fof(f2470,definition,(
% 251.83/32.52 sQ160_spl <=> (between(w,v,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2506,plain,(
% 251.83/32.52 ~equidistant(v,w,x,u)|~colinear(v,w,w)|colinear(x,u,u)),
% 251.83/32.52 inference(resolution,[status(thm)],[f753,f161])).
% 251.83/32.52 fof(f2514,definition,(
% 251.83/32.52 sQ168_spl <=> (colinear(x,u,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2515,plain,(
% 251.83/32.52 colinear(x,u,w)|~sQ168_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2514])).
% 251.83/32.52 fof(f2518,definition,(
% 251.83/32.52 sQ169_spl <=> (equidistant(v,w,x,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2520,plain,(
% 251.83/32.52 ~equidistant(v,w,x,u)|sQ169_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2518])).
% 251.83/32.52 fof(f2521,definition,(
% 251.83/32.52 sQ170_spl <=> (colinear(v,w,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2523,plain,(
% 251.83/32.52 ~colinear(v,w,w)|sQ170_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2521])).
% 251.83/32.52 fof(f2524,definition,(
% 251.83/32.52 sQ171_spl <=> (colinear(x,u,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2527,plain,(
% 251.83/32.52 ~sQ169_spl|~sQ170_spl|sQ171_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f2506,f2518,f2521,f2524])).
% 251.83/32.52 fof(f2528,definition,(
% 251.83/32.52 sQ172_spl <=> (equidistant(v,u,x,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2530,plain,(
% 251.83/32.52 ~equidistant(v,u,x,w)|sQ172_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2528])).
% 251.83/32.52 fof(f2531,definition,(
% 251.83/32.52 sQ173_spl <=> (colinear(v,w,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2533,plain,(
% 251.83/32.52 ~colinear(v,w,u)|sQ173_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2531])).
% 251.83/32.52 fof(f2535,plain,(
% 251.83/32.52 $false|sQ170_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f2523,f248])).
% 251.83/32.52 fof(f2536,plain,(
% 251.83/32.52 sQ170_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f2535])).
% 251.83/32.52 fof(f2537,plain,(
% 251.83/32.52 $false|sQ169_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f2520,f264])).
% 251.83/32.52 fof(f2538,plain,(
% 251.83/32.52 sQ169_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f2537])).
% 251.83/32.52 fof(f2547,plain,(
% 251.83/32.52 equidistant(u,v,w,w)|~sQ153_spl),
% 251.83/32.52 inference(backward_demodulation,[status(thm)],[f2443,f263])).
% 251.83/32.52 fof(f2563,plain,(
% 251.83/32.52 between(u,v,w)|~sQ73_spl),
% 251.83/32.52 inference(forward_demodulation,[status(thm)],[f1441,f266])).
% 251.83/32.52 fof(f2582,plain,(
% 251.83/32.52 ~between(u,w,v)|v=w|~sQ73_spl),
% 251.83/32.52 inference(resolution,[status(thm)],[f2563,f180])).
% 251.83/32.52 fof(f2614,definition,(
% 251.83/32.52 ![X0]: (sQ178_spl <=> (~between(v,w,X0)|between(u,v,X0)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2615,plain,(
% 251.83/32.52 ![X0]: (~between(v,w,X0)|between(u,v,X0)|~sQ178_spl)),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2614])).
% 251.83/32.52 fof(f2622,plain,(
% 251.83/32.52 ~sQ5_spl|sQ7_spl|~sQ73_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f2582,f312,f457,f1440])).
% 251.83/32.52 fof(f2705,definition,(
% 251.83/32.52 sQ182_spl <=> (v=x)),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2706,plain,(
% 251.83/32.52 v=x|~sQ182_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2705])).
% 251.83/32.52 fof(f2712,definition,(
% 251.83/32.52 sQ184_spl <=> (colinear(u,u,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2714,plain,(
% 251.83/32.52 ~colinear(u,u,v)|sQ184_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2712])).
% 251.83/32.52 fof(f2727,plain,(
% 251.83/32.52 $false|sQ184_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f2714,f246])).
% 251.83/32.52 fof(f2728,plain,(
% 251.83/32.52 sQ184_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f2727])).
% 251.83/32.52 fof(f2753,definition,(
% 251.83/32.52 sQ189_spl <=> (colinear(v,u,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2755,plain,(
% 251.83/32.52 ~colinear(v,u,u)|sQ189_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2753])).
% 251.83/32.52 fof(f2772,plain,(
% 251.83/32.52 $false|sQ189_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f2755,f248])).
% 251.83/32.52 fof(f2773,plain,(
% 251.83/32.52 sQ189_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f2772])).
% 251.83/32.52 fof(f2842,definition,(
% 251.83/32.52 sQ198_spl <=> (between(u,u,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2844,plain,(
% 251.83/32.52 ~between(u,u,x)|sQ198_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2842])).
% 251.83/32.52 fof(f2847,definition,(
% 251.83/32.52 sQ199_spl <=> (u=extension(u,x,x,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2848,plain,(
% 251.83/32.52 u=extension(u,x,x,u)|~sQ199_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2847])).
% 251.83/32.52 fof(f2849,plain,(
% 251.83/32.52 ~u=extension(u,x,x,u)|sQ199_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2847])).
% 251.83/32.52 fof(f2851,definition,(
% 251.83/32.52 ![X0]: (sQ200_spl <=> (~between(u,x,X0)|~equidistant(x,u,x,X0)|u=X0))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2852,plain,(
% 251.83/32.52 ![X0]: (~between(u,x,X0)|~equidistant(x,u,x,X0)|u=X0|~sQ200_spl)),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2851])).
% 251.83/32.52 fof(f2868,plain,(
% 251.83/32.52 $false|sQ198_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f2844,f176])).
% 251.83/32.52 fof(f2869,plain,(
% 251.83/32.52 sQ198_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f2868])).
% 251.83/32.52 fof(f2870,plain,(
% 251.83/32.52 between(u,y,u)|~sQ12_spl),
% 251.83/32.52 inference(forward_demodulation,[status(thm)],[f476,f266])).
% 251.83/32.52 fof(f2871,plain,(
% 251.83/32.52 ![X0,X1]: (~between(y,X0,X1)|~between(v,X1,x)|between(v,X0,x))),
% 251.83/32.52 inference(resolution,[status(thm)],[f267,f234])).
% 251.83/32.52 fof(f2918,plain,(
% 251.83/32.52 between(v,y,v)|~sQ182_spl),
% 251.83/32.52 inference(backward_demodulation,[status(thm)],[f2706,f267])).
% 251.83/32.52 fof(f2952,plain,(
% 251.83/32.52 u=y|~sQ12_spl),
% 251.83/32.52 inference(resolution,[status(thm)],[f2870,f124])).
% 251.83/32.52 fof(f2977,definition,(
% 251.83/32.52 ![X0]: (sQ208_spl <=> (~between(y,u,X0)|between(u,y,X0)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2978,plain,(
% 251.83/32.52 ![X0]: (~between(y,u,X0)|between(u,y,X0)|~sQ208_spl)),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2977])).
% 251.83/32.52 fof(f2986,definition,(
% 251.83/32.52 sQ210_spl <=> (between(u,u,y))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2988,plain,(
% 251.83/32.52 ~between(u,u,y)|sQ210_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2986])).
% 251.83/32.52 fof(f2990,definition,(
% 251.83/32.52 sQ211_spl <=> (between(y,u,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2992,plain,(
% 251.83/32.52 ~between(y,u,u)|sQ211_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2990])).
% 251.83/32.52 fof(f2994,definition,(
% 251.83/32.52 sQ212_spl <=> (u=extension(u,y,y,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2995,plain,(
% 251.83/32.52 u=extension(u,y,y,u)|~sQ212_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2994])).
% 251.83/32.52 fof(f2996,plain,(
% 251.83/32.52 ~u=extension(u,y,y,u)|sQ212_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2994])).
% 251.83/32.52 fof(f2998,definition,(
% 251.83/32.52 ![X0]: (sQ213_spl <=> (~between(u,y,X0)|~equidistant(y,u,y,X0)|u=X0))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f2999,plain,(
% 251.83/32.52 ![X0]: (~between(u,y,X0)|~equidistant(y,u,y,X0)|u=X0|~sQ213_spl)),
% 251.83/32.52 inference(component_clause,[status(thm)],[f2998])).
% 251.83/32.52 fof(f3014,plain,(
% 251.83/32.52 sQ15_spl|~sQ12_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f2952,f517,f475])).
% 251.83/32.52 fof(f3015,plain,(
% 251.83/32.52 $false|sQ211_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f2992,f172])).
% 251.83/32.52 fof(f3016,plain,(
% 251.83/32.52 sQ211_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f3015])).
% 251.83/32.52 fof(f3017,plain,(
% 251.83/32.52 $false|sQ210_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f2988,f176])).
% 251.83/32.52 fof(f3018,plain,(
% 251.83/32.52 sQ210_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f3017])).
% 251.83/32.52 fof(f3070,plain,(
% 251.83/32.52 equidistant(u,w,v,v)|~sQ182_spl),
% 251.83/32.52 inference(forward_demodulation,[status(thm)],[f2706,f265])).
% 251.83/32.52 fof(f3109,plain,(
% 251.83/32.52 v=y|~sQ182_spl),
% 251.83/32.52 inference(resolution,[status(thm)],[f2918,f124])).
% 251.83/32.52 fof(f3143,definition,(
% 251.83/32.52 sQ223_spl <=> (between(v,v,y))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3145,plain,(
% 251.83/32.52 ~between(v,v,y)|sQ223_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f3143])).
% 251.83/32.52 fof(f3147,definition,(
% 251.83/32.52 sQ224_spl <=> (between(y,v,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3149,plain,(
% 251.83/32.52 ~between(y,v,v)|sQ224_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f3147])).
% 251.83/32.52 fof(f3171,plain,(
% 251.83/32.52 sQ73_spl|~sQ182_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3109,f1440,f2705])).
% 251.83/32.52 fof(f3172,plain,(
% 251.83/32.52 $false|sQ224_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f3149,f172])).
% 251.83/32.52 fof(f3173,plain,(
% 251.83/32.52 sQ224_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f3172])).
% 251.83/32.52 fof(f3174,plain,(
% 251.83/32.52 $false|sQ223_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f3145,f176])).
% 251.83/32.52 fof(f3175,plain,(
% 251.83/32.52 sQ223_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f3174])).
% 251.83/32.52 fof(f3193,plain,(
% 251.83/32.52 ![X0,X1]: (~between(y,X0,X1)|~between(u,X1,w)|between(u,X0,w))),
% 251.83/32.52 inference(resolution,[status(thm)],[f266,f234])).
% 251.83/32.52 fof(f3261,definition,(
% 251.83/32.52 sQ231_spl <=> (colinear(w,v,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3263,plain,(
% 251.83/32.52 ~colinear(w,v,w)|sQ231_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f3261])).
% 251.83/32.52 fof(f3269,plain,(
% 251.83/32.52 $false|sQ231_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f3263,f247])).
% 251.83/32.52 fof(f3270,plain,(
% 251.83/32.52 sQ231_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f3269])).
% 251.83/32.52 fof(f3288,plain,(
% 251.83/32.52 u=v|~sQ153_spl),
% 251.83/32.52 inference(resolution,[status(thm)],[f2547,f119])).
% 251.83/32.52 fof(f3306,plain,(
% 251.83/32.52 sQ10_spl|~sQ153_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3288,f468,f2442])).
% 251.83/32.52 fof(f3315,plain,(
% 251.83/32.52 ![X0,X1]: (~colinear(u,v,X0)|~colinear(u,v,X1)|colinear(x,X0,X1)|u=v|~sQ101_spl)),
% 251.83/32.52 inference(resolution,[status(thm)],[f1888,f262])).
% 251.83/32.52 fof(f3316,plain,(
% 251.83/32.52 ![X0]: (~colinear(X0,v,x)|colinear(X0,u,v)|x=v|~sQ101_spl)),
% 251.83/32.52 inference(resolution,[status(thm)],[f1888,f260])).
% 251.83/32.52 fof(f3317,plain,(
% 251.83/32.52 ![X0]: (~colinear(X0,v,x)|colinear(X0,u,x)|x=v|~sQ101_spl)),
% 251.83/32.52 inference(resolution,[status(thm)],[f1888,f258])).
% 251.83/32.52 fof(f3318,plain,(
% 251.83/32.52 ![X0]: (~colinear(u,v,X0)|colinear(v,x,X0)|u=v|~sQ101_spl)),
% 251.83/32.52 inference(resolution,[status(thm)],[f1888,f256])).
% 251.83/32.52 fof(f3319,plain,(
% 251.83/32.52 ![X0]: (~colinear(u,v,X0)|colinear(u,x,X0)|u=v|~sQ101_spl)),
% 251.83/32.52 inference(resolution,[status(thm)],[f1888,f254])).
% 251.83/32.52 fof(f3322,plain,(
% 251.83/32.52 colinear(u,x,v)|~sQ101_spl),
% 251.83/32.52 inference(resolution,[status(thm)],[f1888,f242])).
% 251.83/32.52 fof(f3323,plain,(
% 251.83/32.52 colinear(v,x,u)|~sQ101_spl),
% 251.83/32.52 inference(resolution,[status(thm)],[f1888,f241])).
% 251.83/32.52 fof(f3325,plain,(
% 251.83/32.52 between(u,v,x)|between(v,x,u)|between(x,u,v)|~sQ101_spl),
% 251.83/32.52 inference(resolution,[status(thm)],[f1888,f140])).
% 251.83/32.52 fof(f3326,definition,(
% 251.83/32.52 ![X0,X1]: (sQ236_spl <=> (~colinear(u,v,X0)|~colinear(u,v,X1)|colinear(x,X0,X1)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3329,plain,(
% 251.83/32.52 sQ236_spl|sQ10_spl|~sQ101_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3315,f3326,f468,f1887])).
% 251.83/32.52 fof(f3330,definition,(
% 251.83/32.52 ![X0]: (sQ237_spl <=> (~colinear(X0,v,x)|colinear(X0,u,v)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3333,plain,(
% 251.83/32.52 sQ237_spl|sQ182_spl|~sQ101_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3316,f3330,f2705,f1887])).
% 251.83/32.52 fof(f3334,definition,(
% 251.83/32.52 ![X0]: (sQ238_spl <=> (~colinear(X0,v,x)|colinear(X0,u,x)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3337,plain,(
% 251.83/32.52 sQ238_spl|sQ182_spl|~sQ101_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3317,f3334,f2705,f1887])).
% 251.83/32.52 fof(f3338,definition,(
% 251.83/32.52 ![X0]: (sQ239_spl <=> (~colinear(u,v,X0)|colinear(v,x,X0)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3341,plain,(
% 251.83/32.52 sQ239_spl|sQ10_spl|~sQ101_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3318,f3338,f468,f1887])).
% 251.83/32.52 fof(f3342,definition,(
% 251.83/32.52 ![X0]: (sQ240_spl <=> (~colinear(u,v,X0)|colinear(u,x,X0)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3345,plain,(
% 251.83/32.52 sQ240_spl|sQ10_spl|~sQ101_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3319,f3342,f468,f1887])).
% 251.83/32.52 fof(f3346,plain,(
% 251.83/32.52 sQ67_spl|sQ69_spl|sQ92_spl|~sQ101_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3325,f1335,f1356,f1836,f1887])).
% 251.83/32.52 fof(f3469,definition,(
% 251.83/32.52 sQ247_spl <=> (between(u,w,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3473,definition,(
% 251.83/32.52 sQ248_spl <=> (between(x,u,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3474,plain,(
% 251.83/32.52 between(x,u,w)|~sQ248_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f3473])).
% 251.83/32.52 fof(f3544,plain,(
% 251.83/32.52 ![X0,X1]: (~colinear(w,v,X0)|~colinear(w,v,X1)|colinear(u,X0,X1)|w=v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f965,f262])).
% 251.83/32.52 fof(f3545,plain,(
% 251.83/32.52 ![X0]: (~colinear(X0,v,u)|colinear(X0,w,v)|u=v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f965,f260])).
% 251.83/32.52 fof(f3546,plain,(
% 251.83/32.52 ![X0]: (~colinear(X0,v,u)|colinear(X0,w,u)|u=v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f965,f258])).
% 251.83/32.52 fof(f3547,plain,(
% 251.83/32.52 ![X0]: (~colinear(w,v,X0)|colinear(v,u,X0)|w=v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f965,f256])).
% 251.83/32.52 fof(f3548,plain,(
% 251.83/32.52 ![X0]: (~colinear(w,v,X0)|colinear(w,u,X0)|w=v)),
% 251.83/32.52 inference(resolution,[status(thm)],[f965,f254])).
% 251.83/32.52 fof(f3555,definition,(
% 251.83/32.52 ![X0,X1]: (sQ254_spl <=> (~colinear(w,v,X0)|~colinear(w,v,X1)|colinear(u,X0,X1)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3558,plain,(
% 251.83/32.52 sQ254_spl|sQ7_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3544,f3555,f457])).
% 251.83/32.52 fof(f3559,definition,(
% 251.83/32.52 ![X0]: (sQ255_spl <=> (~colinear(X0,v,u)|colinear(X0,w,v)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3562,plain,(
% 251.83/32.52 sQ255_spl|sQ10_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3545,f3559,f468])).
% 251.83/32.52 fof(f3563,definition,(
% 251.83/32.52 ![X0]: (sQ256_spl <=> (~colinear(X0,v,u)|colinear(X0,w,u)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3566,plain,(
% 251.83/32.52 sQ256_spl|sQ10_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3546,f3563,f468])).
% 251.83/32.52 fof(f3567,definition,(
% 251.83/32.52 ![X0]: (sQ257_spl <=> (~colinear(w,v,X0)|colinear(v,u,X0)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3570,plain,(
% 251.83/32.52 sQ257_spl|sQ7_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3547,f3567,f457])).
% 251.83/32.52 fof(f3571,definition,(
% 251.83/32.52 ![X0]: (sQ258_spl <=> (~colinear(w,v,X0)|colinear(w,u,X0)))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3574,plain,(
% 251.83/32.52 sQ258_spl|sQ7_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3548,f3571,f457])).
% 251.83/32.52 fof(f3592,plain,(
% 251.83/32.52 ~between(u,v,v)|~between(w,x,x)|equidistant(u,v,w,x)),
% 251.83/32.52 inference(resolution,[status(thm)],[f1035,f161])).
% 251.83/32.52 fof(f3594,definition,(
% 251.83/32.52 sQ259_spl <=> (between(w,x,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3597,definition,(
% 251.83/32.52 sQ260_spl <=> (equidistant(u,w,w,u))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3599,plain,(
% 251.83/32.52 ~equidistant(u,w,w,u)|sQ260_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f3597])).
% 251.83/32.52 fof(f3601,definition,(
% 251.83/32.52 sQ261_spl <=> (between(w,x,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3608,definition,(
% 251.83/32.52 sQ263_spl <=> (between(w,x,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3610,plain,(
% 251.83/32.52 ~between(w,x,x)|sQ263_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f3608])).
% 251.83/32.52 fof(f3611,definition,(
% 251.83/32.52 sQ264_spl <=> (equidistant(u,v,w,x))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3614,plain,(
% 251.83/32.52 ~sQ84_spl|~sQ263_spl|sQ264_spl),
% 251.83/32.52 inference(split_clause,[status(thm)],[f3592,f1735,f3608,f3611])).
% 251.83/32.52 fof(f3615,definition,(
% 251.83/32.52 sQ265_spl <=> (equidistant(u,x,w,v))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3617,plain,(
% 251.83/32.52 ~equidistant(u,x,w,v)|sQ265_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f3615])).
% 251.83/32.52 fof(f3619,plain,(
% 251.83/32.52 $false|sQ263_spl),
% 251.83/32.52 inference(forward_subsumption_resolution,[status(thm)],[f3610,f172])).
% 251.83/32.52 fof(f3620,plain,(
% 251.83/32.52 sQ263_spl),
% 251.83/32.52 inference(contradiction_clause,[status(thm)],[f3619])).
% 251.83/32.52 fof(f3704,plain,(
% 251.83/32.52 ~equidistant(v,w,x,u)|~colinear(v,x,w)|colinear(x,v,u)),
% 251.83/32.52 inference(resolution,[status(thm)],[f1037,f497])).
% 251.83/32.52 fof(f3720,plain,(
% 251.83/32.52 ![X0,X1,X2,X3]: (~equidistant(w,X0,u,X1)|~equidistant(x,X2,v,X3)|~equidistant(w,X2,u,X3)|~between(x,w,X0)|~between(v,u,X1)|x=w|equidistant(X0,X2,X1,X3))),
% 251.83/32.52 inference(resolution,[status(thm)],[f1037,f123])).
% 251.83/32.52 fof(f3722,definition,(
% 251.83/32.52 sQ266_spl <=> (colinear(v,x,w))),
% 251.83/32.52 introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition])).
% 251.83/32.52 fof(f3723,plain,(
% 251.83/32.52 colinear(v,x,w)|~sQ266_spl),
% 251.83/32.52 inference(component_clause,[status(thm)],[f3722])).
% 251.83/32.52 fof(f3725,plain,(
% 251.83/32.52 ~sQ169_spl|~sQ266_spl|sQ105_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3704,f2518,f3722,f1944])).
% 251.83/32.53 fof(f3726,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ267_spl <=> (~equidistant(w,X0,u,X1)|~equidistant(x,X2,v,X3)|~equidistant(w,X2,u,X3)|~between(x,w,X0)|~between(v,u,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3729,plain,(
% 251.83/32.53 sQ267_spl|sQ153_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3720,f3726,f2442])).
% 251.83/32.53 fof(f3779,definition,(
% 251.83/32.53 sQ269_spl <=> (between(x,v,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3791,definition,(
% 251.83/32.53 sQ272_spl <=> (between(x,v,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3804,plain,(
% 251.83/32.53 ![X0,X1]: (~colinear(w,u,X0)|~colinear(w,u,X1)|colinear(y,X0,X1)|w=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1078,f262])).
% 251.83/32.53 fof(f3805,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,u,y)|colinear(X0,w,u)|y=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1078,f260])).
% 251.83/32.53 fof(f3806,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,u,y)|colinear(X0,w,y)|y=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1078,f258])).
% 251.83/32.53 fof(f3807,plain,(
% 251.83/32.53 ![X0]: (~colinear(w,u,X0)|colinear(u,y,X0)|w=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1078,f256])).
% 251.83/32.53 fof(f3808,plain,(
% 251.83/32.53 ![X0]: (~colinear(w,u,X0)|colinear(w,y,X0)|w=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1078,f254])).
% 251.83/32.53 fof(f3815,definition,(
% 251.83/32.53 ![X0,X1]: (sQ273_spl <=> (~colinear(w,u,X0)|~colinear(w,u,X1)|colinear(y,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3818,plain,(
% 251.83/32.53 sQ273_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3804,f3815,f475])).
% 251.83/32.53 fof(f3819,definition,(
% 251.83/32.53 ![X0]: (sQ274_spl <=> (~colinear(X0,u,y)|colinear(X0,w,u)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3822,plain,(
% 251.83/32.53 sQ274_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3805,f3819,f517])).
% 251.83/32.53 fof(f3823,definition,(
% 251.83/32.53 ![X0]: (sQ275_spl <=> (~colinear(X0,u,y)|colinear(X0,w,y)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3826,plain,(
% 251.83/32.53 sQ275_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3806,f3823,f517])).
% 251.83/32.53 fof(f3827,definition,(
% 251.83/32.53 ![X0]: (sQ276_spl <=> (~colinear(w,u,X0)|colinear(u,y,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3830,plain,(
% 251.83/32.53 sQ276_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3807,f3827,f475])).
% 251.83/32.53 fof(f3831,definition,(
% 251.83/32.53 ![X0]: (sQ277_spl <=> (~colinear(w,u,X0)|colinear(w,y,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3834,plain,(
% 251.83/32.53 sQ277_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3808,f3831,f475])).
% 251.83/32.53 fof(f3835,definition,(
% 251.83/32.53 sQ278_spl <=> (between(w,u,y))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3838,definition,(
% 251.83/32.53 sQ279_spl <=> (between(u,y,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3846,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,y,u)|colinear(X0,w,y)|u=y)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1076,f260])).
% 251.83/32.53 fof(f3847,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,y,u)|colinear(X0,w,u)|u=y)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1076,f258])).
% 251.83/32.53 fof(f3860,definition,(
% 251.83/32.53 ![X0]: (sQ282_spl <=> (~colinear(X0,y,u)|colinear(X0,w,y)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3863,plain,(
% 251.83/32.53 sQ282_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3846,f3860,f517])).
% 251.83/32.53 fof(f3864,definition,(
% 251.83/32.53 ![X0]: (sQ283_spl <=> (~colinear(X0,y,u)|colinear(X0,w,u)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3867,plain,(
% 251.83/32.53 sQ283_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3847,f3864,f517])).
% 251.83/32.53 fof(f3897,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(w,X0,v,X1)|~equidistant(x,X2,u,X3)|~equidistant(w,X2,v,X3)|~between(x,w,X0)|~between(u,v,X1)|x=w|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1038,f123])).
% 251.83/32.53 fof(f3902,definition,(
% 251.83/32.53 sQ288_spl <=> (between(u,x,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3906,definition,(
% 251.83/32.53 sQ289_spl <=> (equidistant(u,w,x,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3908,plain,(
% 251.83/32.53 ~equidistant(u,w,x,v)|sQ289_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f3906])).
% 251.83/32.53 fof(f3909,definition,(
% 251.83/32.53 sQ290_spl <=> (colinear(u,x,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3913,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ291_spl <=> (~equidistant(w,X0,v,X1)|~equidistant(x,X2,u,X3)|~equidistant(w,X2,v,X3)|~between(x,w,X0)|~between(u,v,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3916,plain,(
% 251.83/32.53 sQ291_spl|sQ153_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3897,f3913,f2442])).
% 251.83/32.53 fof(f3935,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(x,X0,u,X1)|~equidistant(w,X2,v,X3)|~equidistant(x,X2,u,X3)|~between(w,x,X0)|~between(v,u,X1)|w=x|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1039,f123])).
% 251.83/32.53 fof(f3940,definition,(
% 251.83/32.53 sQ293_spl <=> (between(v,w,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3941,plain,(
% 251.83/32.53 between(v,w,x)|~sQ293_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f3940])).
% 251.83/32.53 fof(f3947,definition,(
% 251.83/32.53 sQ295_spl <=> (colinear(v,w,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3950,definition,(
% 251.83/32.53 sQ296_spl <=> (colinear(w,v,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3952,plain,(
% 251.83/32.53 ~colinear(w,v,u)|sQ296_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f3950])).
% 251.83/32.53 fof(f3954,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ297_spl <=> (~equidistant(x,X0,u,X1)|~equidistant(w,X2,v,X3)|~equidistant(x,X2,u,X3)|~between(w,x,X0)|~between(v,u,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3957,plain,(
% 251.83/32.53 sQ297_spl|sQ153_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3935,f3954,f2442])).
% 251.83/32.53 fof(f3958,plain,(
% 251.83/32.53 ![X0,X1]: (~colinear(u,w,X0)|~colinear(u,w,X1)|colinear(y,X0,X1)|u=w)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1075,f262])).
% 251.83/32.53 fof(f3961,plain,(
% 251.83/32.53 ![X0]: (~colinear(u,w,X0)|colinear(w,y,X0)|u=w)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1075,f256])).
% 251.83/32.53 fof(f3962,plain,(
% 251.83/32.53 ![X0]: (~colinear(u,w,X0)|colinear(u,y,X0)|u=w)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1075,f254])).
% 251.83/32.53 fof(f3969,definition,(
% 251.83/32.53 ![X0,X1]: (sQ298_spl <=> (~colinear(u,w,X0)|~colinear(u,w,X1)|colinear(y,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3972,plain,(
% 251.83/32.53 sQ298_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3958,f3969,f475])).
% 251.83/32.53 fof(f3981,definition,(
% 251.83/32.53 ![X0]: (sQ301_spl <=> (~colinear(u,w,X0)|colinear(w,y,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3984,plain,(
% 251.83/32.53 sQ301_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3961,f3981,f475])).
% 251.83/32.53 fof(f3985,definition,(
% 251.83/32.53 ![X0]: (sQ302_spl <=> (~colinear(u,w,X0)|colinear(u,y,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f3988,plain,(
% 251.83/32.53 sQ302_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3962,f3985,f475])).
% 251.83/32.53 fof(f4067,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(u,X0,w,X1)|~equidistant(v,X2,x,X3)|~equidistant(u,X2,w,X3)|~between(v,u,X0)|~between(x,w,X1)|v=u|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1040,f123])).
% 251.83/32.53 fof(f4072,definition,(
% 251.83/32.53 sQ304_spl <=> (equidistant(u,u,w,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4074,plain,(
% 251.83/32.53 ~equidistant(u,u,w,w)|sQ304_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4072])).
% 251.83/32.53 fof(f4080,definition,(
% 251.83/32.53 sQ306_spl <=> (equidistant(x,u,v,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4082,plain,(
% 251.83/32.53 ~equidistant(x,u,v,w)|sQ306_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4080])).
% 251.83/32.53 fof(f4084,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ307_spl <=> (~equidistant(u,X0,w,X1)|~equidistant(v,X2,x,X3)|~equidistant(u,X2,w,X3)|~between(v,u,X0)|~between(x,w,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4087,plain,(
% 251.83/32.53 sQ307_spl|sQ10_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4067,f4084,f468])).
% 251.83/32.53 fof(f4089,plain,(
% 251.83/32.53 ~equidistant(x,v,u,w)|~colinear(x,u,v)|colinear(u,x,w)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1041,f497])).
% 251.83/32.53 fof(f4105,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(v,X0,w,X1)|~equidistant(u,X2,x,X3)|~equidistant(v,X2,w,X3)|~between(u,v,X0)|~between(x,w,X1)|u=v|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1041,f123])).
% 251.83/32.53 fof(f4111,definition,(
% 251.83/32.53 sQ309_spl <=> (equidistant(x,v,u,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4113,plain,(
% 251.83/32.53 ~equidistant(x,v,u,w)|sQ309_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4111])).
% 251.83/32.53 fof(f4114,plain,(
% 251.83/32.53 ~sQ309_spl|~sQ115_spl|sQ290_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4089,f4111,f2056,f3909])).
% 251.83/32.53 fof(f4115,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ310_spl <=> (~equidistant(v,X0,w,X1)|~equidistant(u,X2,x,X3)|~equidistant(v,X2,w,X3)|~between(u,v,X0)|~between(x,w,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4118,plain,(
% 251.83/32.53 sQ310_spl|sQ10_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4105,f4115,f468])).
% 251.83/32.53 fof(f4152,plain,(
% 251.83/32.53 ~equidistant(w,u,v,x)|~colinear(w,v,u)|colinear(v,w,x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1042,f497])).
% 251.83/32.53 fof(f4168,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(u,X0,x,X1)|~equidistant(v,X2,w,X3)|~equidistant(u,X2,x,X3)|~between(v,u,X0)|~between(w,x,X1)|v=u|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1042,f123])).
% 251.83/32.53 fof(f4174,definition,(
% 251.83/32.53 sQ312_spl <=> (equidistant(w,u,v,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4176,plain,(
% 251.83/32.53 ~equidistant(w,u,v,x)|sQ312_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4174])).
% 251.83/32.53 fof(f4177,plain,(
% 251.83/32.53 ~sQ312_spl|~sQ296_spl|sQ295_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4152,f4174,f3950,f3947])).
% 251.83/32.53 fof(f4178,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ313_spl <=> (~equidistant(u,X0,x,X1)|~equidistant(v,X2,w,X3)|~equidistant(u,X2,x,X3)|~between(v,u,X0)|~between(w,x,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4181,plain,(
% 251.83/32.53 sQ313_spl|sQ10_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4168,f4178,f468])).
% 251.83/32.53 fof(f4184,plain,(
% 251.83/32.53 ~equidistant(u,x,w,v)|~colinear(u,w,x)|colinear(w,u,v)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1043,f497])).
% 251.83/32.53 fof(f4200,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(x,X0,v,X1)|~equidistant(w,X2,u,X3)|~equidistant(x,X2,v,X3)|~between(w,x,X0)|~between(u,v,X1)|w=x|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1043,f123])).
% 251.83/32.53 fof(f4206,plain,(
% 251.83/32.53 ~sQ265_spl|~sQ149_spl|sQ148_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4184,f3615,f2370,f2367])).
% 251.83/32.53 fof(f4207,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ315_spl <=> (~equidistant(x,X0,v,X1)|~equidistant(w,X2,u,X3)|~equidistant(x,X2,v,X3)|~between(w,x,X0)|~between(u,v,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4210,plain,(
% 251.83/32.53 sQ315_spl|sQ153_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4200,f4207,f2442])).
% 251.83/32.53 fof(f4239,plain,(
% 251.83/32.53 ~equidistant(u,u,w,w)|~colinear(u,v,u)|colinear(w,x,w)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1044,f1040])).
% 251.83/32.53 fof(f4240,plain,(
% 251.83/32.53 ~equidistant(u,w,w,u)|~colinear(u,v,w)|colinear(w,x,u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1044,f264])).
% 251.83/32.53 fof(f4245,plain,(
% 251.83/32.53 ~equidistant(u,v,w,x)|~colinear(u,v,v)|colinear(w,x,x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1044,f161])).
% 251.83/32.53 fof(f4246,plain,(
% 251.83/32.53 ~equidistant(u,x,w,v)|~colinear(u,v,x)|colinear(w,x,v)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1044,f115])).
% 251.83/32.53 fof(f4247,definition,(
% 251.83/32.53 sQ316_spl <=> (colinear(u,v,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4249,plain,(
% 251.83/32.53 ~colinear(u,v,u)|sQ316_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4247])).
% 251.83/32.53 fof(f4250,definition,(
% 251.83/32.53 sQ317_spl <=> (colinear(w,x,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4253,plain,(
% 251.83/32.53 ~sQ304_spl|~sQ316_spl|sQ317_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4239,f4072,f4247,f4250])).
% 251.83/32.53 fof(f4254,definition,(
% 251.83/32.53 sQ318_spl <=> (colinear(u,v,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4256,plain,(
% 251.83/32.53 ~colinear(u,v,w)|sQ318_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4254])).
% 251.83/32.53 fof(f4257,definition,(
% 251.83/32.53 sQ319_spl <=> (colinear(w,x,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4258,plain,(
% 251.83/32.53 colinear(w,x,u)|~sQ319_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4257])).
% 251.83/32.53 fof(f4260,plain,(
% 251.83/32.53 ~sQ260_spl|~sQ318_spl|sQ319_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4240,f3597,f4254,f4257])).
% 251.83/32.53 fof(f4264,definition,(
% 251.83/32.53 sQ321_spl <=> (colinear(w,x,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4265,plain,(
% 251.83/32.53 colinear(w,x,v)|~sQ321_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4264])).
% 251.83/32.53 fof(f4268,definition,(
% 251.83/32.53 sQ322_spl <=> (colinear(w,x,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4271,plain,(
% 251.83/32.53 ~sQ264_spl|~sQ111_spl|sQ322_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4245,f3611,f1989,f4268])).
% 251.83/32.53 fof(f4272,plain,(
% 251.83/32.53 ~sQ265_spl|~sQ101_spl|sQ321_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4246,f3615,f1887,f4264])).
% 251.83/32.53 fof(f4273,plain,(
% 251.83/32.53 $false|sQ318_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f4256,f270])).
% 251.83/32.53 fof(f4274,plain,(
% 251.83/32.53 sQ318_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f4273])).
% 251.83/32.53 fof(f4275,plain,(
% 251.83/32.53 $false|sQ316_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f4249,f247])).
% 251.83/32.53 fof(f4276,plain,(
% 251.83/32.53 sQ316_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f4275])).
% 251.83/32.53 fof(f4308,plain,(
% 251.83/32.53 ![X0,X1]: (~colinear(u,y,X0)|~colinear(u,y,X1)|colinear(w,X0,X1)|u=y)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1079,f262])).
% 251.83/32.53 fof(f4311,plain,(
% 251.83/32.53 ![X0]: (~colinear(u,y,X0)|colinear(y,w,X0)|u=y)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1079,f256])).
% 251.83/32.53 fof(f4312,plain,(
% 251.83/32.53 ![X0]: (~colinear(u,y,X0)|colinear(u,w,X0)|u=y)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1079,f254])).
% 251.83/32.53 fof(f4319,definition,(
% 251.83/32.53 ![X0,X1]: (sQ323_spl <=> (~colinear(u,y,X0)|~colinear(u,y,X1)|colinear(w,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4322,plain,(
% 251.83/32.53 sQ323_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4308,f4319,f517])).
% 251.83/32.53 fof(f4331,definition,(
% 251.83/32.53 ![X0]: (sQ326_spl <=> (~colinear(u,y,X0)|colinear(y,w,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4334,plain,(
% 251.83/32.53 sQ326_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4311,f4331,f517])).
% 251.83/32.53 fof(f4335,definition,(
% 251.83/32.53 ![X0]: (sQ327_spl <=> (~colinear(u,y,X0)|colinear(u,w,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4338,plain,(
% 251.83/32.53 sQ327_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4312,f4335,f517])).
% 251.83/32.53 fof(f4341,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,w,u)|colinear(X0,y,w)|u=w)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1077,f260])).
% 251.83/32.53 fof(f4342,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,w,u)|colinear(X0,y,u)|u=w)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1077,f258])).
% 251.83/32.53 fof(f4355,definition,(
% 251.83/32.53 ![X0]: (sQ329_spl <=> (~colinear(X0,w,u)|colinear(X0,y,w)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4358,plain,(
% 251.83/32.53 sQ329_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4341,f4355,f475])).
% 251.83/32.53 fof(f4359,definition,(
% 251.83/32.53 ![X0]: (sQ330_spl <=> (~colinear(X0,w,u)|colinear(X0,y,u)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4362,plain,(
% 251.83/32.53 sQ330_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4342,f4359,f475])).
% 251.83/32.53 fof(f4392,definition,(
% 251.83/32.53 ![X0,X1]: (sQ336_spl <=> (~equidistant(u,X0,w,X1)|~equidistant(v,X0,x,X1)|equidistant(v,X0,x,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4404,plain,(
% 251.83/32.53 ~between(u,w,w)|~between(v,x,x)|equidistant(u,w,v,x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1051,f161])).
% 251.83/32.53 fof(f4413,definition,(
% 251.83/32.53 sQ340_spl <=> (between(u,w,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4415,plain,(
% 251.83/32.53 ~between(u,w,w)|sQ340_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4413])).
% 251.83/32.53 fof(f4416,definition,(
% 251.83/32.53 sQ341_spl <=> (equidistant(u,w,v,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4419,plain,(
% 251.83/32.53 ~sQ340_spl|~sQ89_spl|sQ341_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4404,f4413,f1752,f4416])).
% 251.83/32.53 fof(f4420,definition,(
% 251.83/32.53 sQ342_spl <=> (equidistant(u,x,v,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4422,plain,(
% 251.83/32.53 ~equidistant(u,x,v,w)|sQ342_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4420])).
% 251.83/32.53 fof(f4424,plain,(
% 251.83/32.53 $false|sQ340_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f4415,f172])).
% 251.83/32.53 fof(f4425,plain,(
% 251.83/32.53 sQ340_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f4424])).
% 251.83/32.53 fof(f4426,plain,(
% 251.83/32.53 ![X0,X1]: (~colinear(y,u,X0)|~colinear(y,u,X1)|colinear(w,X0,X1)|y=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1074,f262])).
% 251.83/32.53 fof(f4427,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,u,w)|colinear(X0,y,u)|w=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1074,f260])).
% 251.83/32.53 fof(f4428,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,u,w)|colinear(X0,y,w)|w=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1074,f258])).
% 251.83/32.53 fof(f4429,plain,(
% 251.83/32.53 ![X0]: (~colinear(y,u,X0)|colinear(u,w,X0)|y=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1074,f256])).
% 251.83/32.53 fof(f4430,plain,(
% 251.83/32.53 ![X0]: (~colinear(y,u,X0)|colinear(y,w,X0)|y=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1074,f254])).
% 251.83/32.53 fof(f4437,definition,(
% 251.83/32.53 ![X0,X1]: (sQ343_spl <=> (~colinear(y,u,X0)|~colinear(y,u,X1)|colinear(w,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4440,plain,(
% 251.83/32.53 sQ343_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4426,f4437,f517])).
% 251.83/32.53 fof(f4441,definition,(
% 251.83/32.53 ![X0]: (sQ344_spl <=> (~colinear(X0,u,w)|colinear(X0,y,u)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4444,plain,(
% 251.83/32.53 sQ344_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4427,f4441,f475])).
% 251.83/32.53 fof(f4445,definition,(
% 251.83/32.53 ![X0]: (sQ345_spl <=> (~colinear(X0,u,w)|colinear(X0,y,w)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4448,plain,(
% 251.83/32.53 sQ345_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4428,f4445,f475])).
% 251.83/32.53 fof(f4449,definition,(
% 251.83/32.53 ![X0]: (sQ346_spl <=> (~colinear(y,u,X0)|colinear(u,w,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4452,plain,(
% 251.83/32.53 sQ346_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4429,f4449,f517])).
% 251.83/32.53 fof(f4453,definition,(
% 251.83/32.53 ![X0]: (sQ347_spl <=> (~colinear(y,u,X0)|colinear(y,w,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4456,plain,(
% 251.83/32.53 sQ347_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4430,f4453,f517])).
% 251.83/32.53 fof(f4575,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,v,x)|colinear(X0,y,v)|x=v)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2138,f260])).
% 251.83/32.53 fof(f4576,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,v,x)|colinear(X0,y,x)|x=v)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2138,f258])).
% 251.83/32.53 fof(f4589,definition,(
% 251.83/32.53 ![X0]: (sQ362_spl <=> (~colinear(X0,v,x)|colinear(X0,y,v)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4592,plain,(
% 251.83/32.53 sQ362_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4575,f4589,f2705])).
% 251.83/32.53 fof(f4593,definition,(
% 251.83/32.53 ![X0]: (sQ363_spl <=> (~colinear(X0,v,x)|colinear(X0,y,x)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4596,plain,(
% 251.83/32.53 sQ363_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4576,f4593,f2705])).
% 251.83/32.53 fof(f4609,plain,(
% 251.83/32.53 ![X0,X1]: (~colinear(v,x,X0)|~colinear(v,x,X1)|colinear(y,X0,X1)|v=x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2139,f262])).
% 251.83/32.53 fof(f4612,plain,(
% 251.83/32.53 ![X0]: (~colinear(v,x,X0)|colinear(x,y,X0)|v=x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2139,f256])).
% 251.83/32.53 fof(f4613,plain,(
% 251.83/32.53 ![X0]: (~colinear(v,x,X0)|colinear(v,y,X0)|v=x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2139,f254])).
% 251.83/32.53 fof(f4620,definition,(
% 251.83/32.53 ![X0,X1]: (sQ367_spl <=> (~colinear(v,x,X0)|~colinear(v,x,X1)|colinear(y,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4623,plain,(
% 251.83/32.53 sQ367_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4609,f4620,f2705])).
% 251.83/32.53 fof(f4632,definition,(
% 251.83/32.53 ![X0]: (sQ370_spl <=> (~colinear(v,x,X0)|colinear(x,y,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4635,plain,(
% 251.83/32.53 sQ370_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4612,f4632,f2705])).
% 251.83/32.53 fof(f4636,definition,(
% 251.83/32.53 ![X0]: (sQ371_spl <=> (~colinear(v,x,X0)|colinear(v,y,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4639,plain,(
% 251.83/32.53 sQ371_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4613,f4636,f2705])).
% 251.83/32.53 fof(f4645,plain,(
% 251.83/32.53 ~equidistant(w,v,x,u)|~colinear(w,x,v)|colinear(x,w,u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1053,f497])).
% 251.83/32.53 fof(f4661,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(v,X0,u,X1)|~equidistant(x,X2,w,X3)|~equidistant(v,X2,u,X3)|~between(x,v,X0)|~between(w,u,X1)|x=v|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1053,f123])).
% 251.83/32.53 fof(f4666,definition,(
% 251.83/32.53 sQ373_spl <=> (between(x,w,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4667,plain,(
% 251.83/32.53 between(x,w,u)|~sQ373_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4666])).
% 251.83/32.53 fof(f4670,definition,(
% 251.83/32.53 sQ374_spl <=> (equidistant(w,v,x,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4672,plain,(
% 251.83/32.53 ~equidistant(w,v,x,u)|sQ374_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4670])).
% 251.83/32.53 fof(f4673,definition,(
% 251.83/32.53 sQ375_spl <=> (colinear(x,w,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4676,plain,(
% 251.83/32.53 ~sQ374_spl|~sQ321_spl|sQ375_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4645,f4670,f4264,f4673])).
% 251.83/32.53 fof(f4677,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ376_spl <=> (~equidistant(v,X0,u,X1)|~equidistant(x,X2,w,X3)|~equidistant(v,X2,u,X3)|~between(x,v,X0)|~between(w,u,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4680,plain,(
% 251.83/32.53 sQ376_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4661,f4677,f2705])).
% 251.83/32.53 fof(f4714,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,x,v)|colinear(X0,y,x)|v=x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2141,f260])).
% 251.83/32.53 fof(f4715,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,x,v)|colinear(X0,y,v)|v=x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2141,f258])).
% 251.83/32.53 fof(f4728,definition,(
% 251.83/32.53 ![X0]: (sQ383_spl <=> (~colinear(X0,x,v)|colinear(X0,y,x)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4731,plain,(
% 251.83/32.53 sQ383_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4714,f4728,f2705])).
% 251.83/32.53 fof(f4732,definition,(
% 251.83/32.53 ![X0]: (sQ384_spl <=> (~colinear(X0,x,v)|colinear(X0,y,v)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4735,plain,(
% 251.83/32.53 sQ384_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4715,f4732,f2705])).
% 251.83/32.53 fof(f4744,definition,(
% 251.83/32.53 sQ387_spl <=> (between(v,y,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4748,plain,(
% 251.83/32.53 ![X0,X1]: (~colinear(x,v,X0)|~colinear(x,v,X1)|colinear(y,X0,X1)|x=v)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2142,f262])).
% 251.83/32.53 fof(f4751,plain,(
% 251.83/32.53 ![X0]: (~colinear(x,v,X0)|colinear(v,y,X0)|x=v)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2142,f256])).
% 251.83/32.53 fof(f4752,plain,(
% 251.83/32.53 ![X0]: (~colinear(x,v,X0)|colinear(x,y,X0)|x=v)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2142,f254])).
% 251.83/32.53 fof(f4759,definition,(
% 251.83/32.53 ![X0,X1]: (sQ388_spl <=> (~colinear(x,v,X0)|~colinear(x,v,X1)|colinear(y,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4762,plain,(
% 251.83/32.53 sQ388_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4748,f4759,f2705])).
% 251.83/32.53 fof(f4771,definition,(
% 251.83/32.53 ![X0]: (sQ391_spl <=> (~colinear(x,v,X0)|colinear(v,y,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4774,plain,(
% 251.83/32.53 sQ391_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4751,f4771,f2705])).
% 251.83/32.53 fof(f4775,definition,(
% 251.83/32.53 ![X0]: (sQ392_spl <=> (~colinear(x,v,X0)|colinear(x,y,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4778,plain,(
% 251.83/32.53 sQ392_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4752,f4775,f2705])).
% 251.83/32.53 fof(f4837,plain,(
% 251.83/32.53 ~equidistant(u,v,x,w)|~colinear(u,x,v)|colinear(x,u,w)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1054,f497])).
% 251.83/32.53 fof(f4853,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(v,X0,w,X1)|~equidistant(x,X2,u,X3)|~equidistant(v,X2,w,X3)|~between(x,v,X0)|~between(u,w,X1)|x=v|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1054,f123])).
% 251.83/32.53 fof(f4855,definition,(
% 251.83/32.53 sQ398_spl <=> (between(u,x,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4859,definition,(
% 251.83/32.53 sQ399_spl <=> (equidistant(u,v,x,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4861,plain,(
% 251.83/32.53 ~equidistant(u,v,x,w)|sQ399_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4859])).
% 251.83/32.53 fof(f4862,plain,(
% 251.83/32.53 ~sQ399_spl|~sQ116_spl|sQ168_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4837,f4859,f2059,f2514])).
% 251.83/32.53 fof(f4863,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ400_spl <=> (~equidistant(v,X0,w,X1)|~equidistant(x,X2,u,X3)|~equidistant(v,X2,w,X3)|~between(x,v,X0)|~between(u,w,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4866,plain,(
% 251.83/32.53 sQ400_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4853,f4863,f2705])).
% 251.83/32.53 fof(f4867,plain,(
% 251.83/32.53 $false|sQ399_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f4861,f1041])).
% 251.83/32.53 fof(f4868,plain,(
% 251.83/32.53 sQ399_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f4867])).
% 251.83/32.53 fof(f4887,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(x,X0,u,X1)|~equidistant(v,X2,w,X3)|~equidistant(x,X2,u,X3)|~between(v,x,X0)|~between(w,u,X1)|v=x|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1055,f123])).
% 251.83/32.53 fof(f4890,definition,(
% 251.83/32.53 sQ401_spl <=> (equidistant(w,x,v,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4892,plain,(
% 251.83/32.53 ~equidistant(w,x,v,u)|sQ401_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4890])).
% 251.83/32.53 fof(f4893,definition,(
% 251.83/32.53 sQ402_spl <=> (colinear(w,v,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4894,plain,(
% 251.83/32.53 colinear(w,v,x)|~sQ402_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f4893])).
% 251.83/32.53 fof(f4897,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ403_spl <=> (~equidistant(x,X0,u,X1)|~equidistant(v,X2,w,X3)|~equidistant(x,X2,u,X3)|~between(v,x,X0)|~between(w,u,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4900,plain,(
% 251.83/32.53 sQ403_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4887,f4897,f2705])).
% 251.83/32.53 fof(f4901,plain,(
% 251.83/32.53 $false|sQ401_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f4892,f1039])).
% 251.83/32.53 fof(f4902,plain,(
% 251.83/32.53 sQ401_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f4901])).
% 251.83/32.53 fof(f4918,plain,(
% 251.83/32.53 ![X0]: (~between(X0,y,u)|y=u|between(w,X0,y)|between(X0,w,y))),
% 251.83/32.53 inference(resolution,[status(thm)],[f2246,f228])).
% 251.83/32.53 fof(f4930,plain,(
% 251.83/32.53 ![X0]: (~between(y,u,X0)|between(w,y,X0)|y=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2246,f192])).
% 251.83/32.53 fof(f4931,plain,(
% 251.83/32.53 ![X0]: (~between(y,u,X0)|between(w,u,X0)|y=u)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2246,f190])).
% 251.83/32.53 fof(f4933,plain,(
% 251.83/32.53 ~between(w,u,y)|y=u),
% 251.83/32.53 inference(resolution,[status(thm)],[f2246,f180])).
% 251.83/32.53 fof(f4949,definition,(
% 251.83/32.53 ![X0]: (sQ404_spl <=> (~between(X0,y,u)|between(w,X0,y)|between(X0,w,y)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4952,plain,(
% 251.83/32.53 sQ404_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4918,f4949,f517])).
% 251.83/32.53 fof(f4965,definition,(
% 251.83/32.53 ![X0]: (sQ408_spl <=> (~between(y,u,X0)|between(w,y,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4968,plain,(
% 251.83/32.53 sQ408_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4930,f4965,f517])).
% 251.83/32.53 fof(f4969,definition,(
% 251.83/32.53 ![X0]: (sQ409_spl <=> (~between(y,u,X0)|between(w,u,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f4972,plain,(
% 251.83/32.53 sQ409_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4931,f4969,f517])).
% 251.83/32.53 fof(f4973,plain,(
% 251.83/32.53 ~sQ278_spl|sQ15_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f4933,f3835,f517])).
% 251.83/32.53 fof(f5033,definition,(
% 251.83/32.53 sQ416_spl <=> (between(v,u,reflection(u,u)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5035,plain,(
% 251.83/32.53 ~between(v,u,reflection(u,u))|sQ416_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5033])).
% 251.83/32.53 fof(f5040,definition,(
% 251.83/32.53 sQ418_spl <=> (between(v,u,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5042,plain,(
% 251.83/32.53 ~between(v,u,u)|sQ418_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5040])).
% 251.83/32.53 fof(f5045,plain,(
% 251.83/32.53 $false|sQ418_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f5042,f172])).
% 251.83/32.53 fof(f5046,plain,(
% 251.83/32.53 sQ418_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f5045])).
% 251.83/32.53 fof(f5047,plain,(
% 251.83/32.53 ~between(v,u,u)|sQ416_spl),
% 251.83/32.53 inference(forward_demodulation,[status(thm)],[f272,f5035])).
% 251.83/32.53 fof(f5048,plain,(
% 251.83/32.53 $false|sQ416_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f5047,f172])).
% 251.83/32.53 fof(f5049,plain,(
% 251.83/32.53 sQ416_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f5048])).
% 251.83/32.53 fof(f5069,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(u,X0,v,X1)|~equidistant(w,X2,x,X3)|~equidistant(u,X2,v,X3)|~between(w,u,X0)|~between(x,v,X1)|w=u|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1056,f123])).
% 251.83/32.53 fof(f5071,definition,(
% 251.83/32.53 sQ419_spl <=> (between(u,w,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5074,definition,(
% 251.83/32.53 sQ420_spl <=> (equidistant(u,u,v,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5076,plain,(
% 251.83/32.53 ~equidistant(u,u,v,v)|sQ420_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5074])).
% 251.83/32.53 fof(f5082,definition,(
% 251.83/32.53 sQ422_spl <=> (equidistant(x,u,w,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5084,plain,(
% 251.83/32.53 ~equidistant(x,u,w,v)|sQ422_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5082])).
% 251.83/32.53 fof(f5086,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ423_spl <=> (~equidistant(u,X0,v,X1)|~equidistant(w,X2,x,X3)|~equidistant(u,X2,v,X3)|~between(w,u,X0)|~between(x,v,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5089,plain,(
% 251.83/32.53 sQ423_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5069,f5086,f475])).
% 251.83/32.53 fof(f5107,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(w,X0,v,X1)|~equidistant(u,X2,x,X3)|~equidistant(w,X2,v,X3)|~between(u,w,X0)|~between(x,v,X1)|u=w|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1057,f123])).
% 251.83/32.53 fof(f5110,definition,(
% 251.83/32.53 sQ424_spl <=> (equidistant(x,w,u,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5112,plain,(
% 251.83/32.53 ~equidistant(x,w,u,v)|sQ424_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5110])).
% 251.83/32.53 fof(f5114,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ425_spl <=> (~equidistant(w,X0,v,X1)|~equidistant(u,X2,x,X3)|~equidistant(w,X2,v,X3)|~between(u,w,X0)|~between(x,v,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5117,plain,(
% 251.83/32.53 sQ425_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5107,f5114,f475])).
% 251.83/32.53 fof(f5118,plain,(
% 251.83/32.53 $false|sQ424_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f5112,f1038])).
% 251.83/32.53 fof(f5119,plain,(
% 251.83/32.53 sQ424_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f5118])).
% 251.83/32.53 fof(f5142,definition,(
% 251.83/32.53 sQ426_spl <=> (w=w)),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5146,plain,(
% 251.83/32.53 ![X0,X1]: (~colinear(x,u,X0)|~colinear(x,u,X1)|colinear(w,X0,X1)|x=u|~sQ168_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2515,f262])).
% 251.83/32.53 fof(f5147,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,u,w)|colinear(X0,x,u)|w=u|~sQ168_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2515,f260])).
% 251.83/32.53 fof(f5148,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,u,w)|colinear(X0,x,w)|w=u|~sQ168_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2515,f258])).
% 251.83/32.53 fof(f5149,plain,(
% 251.83/32.53 ![X0]: (~colinear(x,u,X0)|colinear(u,w,X0)|x=u|~sQ168_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2515,f256])).
% 251.83/32.53 fof(f5150,plain,(
% 251.83/32.53 ![X0]: (~colinear(x,u,X0)|colinear(x,w,X0)|x=u|~sQ168_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f2515,f254])).
% 251.83/32.53 fof(f5151,plain,(
% 251.83/32.53 colinear(u,x,w)|~sQ168_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f2515,f244])).
% 251.83/32.53 fof(f5153,plain,(
% 251.83/32.53 colinear(x,w,u)|~sQ168_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f2515,f242])).
% 251.83/32.53 fof(f5154,plain,(
% 251.83/32.53 colinear(u,w,x)|~sQ168_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f2515,f241])).
% 251.83/32.53 fof(f5156,plain,(
% 251.83/32.53 between(x,u,w)|between(u,w,x)|between(w,x,u)|~sQ168_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f2515,f140])).
% 251.83/32.53 fof(f5157,definition,(
% 251.83/32.53 ![X0,X1]: (sQ427_spl <=> (~colinear(x,u,X0)|~colinear(x,u,X1)|colinear(w,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5160,plain,(
% 251.83/32.53 sQ427_spl|sQ70_spl|~sQ168_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5146,f5157,f1359,f2514])).
% 251.83/32.53 fof(f5161,definition,(
% 251.83/32.53 ![X0]: (sQ428_spl <=> (~colinear(X0,u,w)|colinear(X0,x,u)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5164,plain,(
% 251.83/32.53 sQ428_spl|sQ12_spl|~sQ168_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5147,f5161,f475,f2514])).
% 251.83/32.53 fof(f5165,definition,(
% 251.83/32.53 ![X0]: (sQ429_spl <=> (~colinear(X0,u,w)|colinear(X0,x,w)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5168,plain,(
% 251.83/32.53 sQ429_spl|sQ12_spl|~sQ168_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5148,f5165,f475,f2514])).
% 251.83/32.53 fof(f5169,definition,(
% 251.83/32.53 ![X0]: (sQ430_spl <=> (~colinear(x,u,X0)|colinear(u,w,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5172,plain,(
% 251.83/32.53 sQ430_spl|sQ70_spl|~sQ168_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5149,f5169,f1359,f2514])).
% 251.83/32.53 fof(f5173,definition,(
% 251.83/32.53 ![X0]: (sQ431_spl <=> (~colinear(x,u,X0)|colinear(x,w,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5176,plain,(
% 251.83/32.53 sQ431_spl|sQ70_spl|~sQ168_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5150,f5173,f1359,f2514])).
% 251.83/32.53 fof(f5177,plain,(
% 251.83/32.53 sQ248_spl|sQ247_spl|sQ259_spl|~sQ168_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5156,f3473,f3469,f3594,f2514])).
% 251.83/32.53 fof(f5179,plain,(
% 251.83/32.53 ~equidistant(v,u,w,x)|~colinear(v,w,u)|colinear(w,v,x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1058,f497])).
% 251.83/32.53 fof(f5195,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(u,X0,x,X1)|~equidistant(w,X2,v,X3)|~equidistant(u,X2,x,X3)|~between(w,u,X0)|~between(v,x,X1)|w=u|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1058,f123])).
% 251.83/32.53 fof(f5198,definition,(
% 251.83/32.53 sQ432_spl <=> (equidistant(v,u,w,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5200,plain,(
% 251.83/32.53 ~equidistant(v,u,w,x)|sQ432_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5198])).
% 251.83/32.53 fof(f5201,plain,(
% 251.83/32.53 ~sQ432_spl|~sQ173_spl|sQ402_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5179,f5198,f2531,f4893])).
% 251.83/32.53 fof(f5202,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ433_spl <=> (~equidistant(u,X0,x,X1)|~equidistant(w,X2,v,X3)|~equidistant(u,X2,x,X3)|~between(w,u,X0)|~between(v,x,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5205,plain,(
% 251.83/32.53 sQ433_spl|sQ12_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5195,f5202,f475])).
% 251.83/32.53 fof(f5206,plain,(
% 251.83/32.53 $false|sQ432_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f5200,f1042])).
% 251.83/32.53 fof(f5207,plain,(
% 251.83/32.53 sQ432_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f5206])).
% 251.83/32.53 fof(f5208,plain,(
% 251.83/32.53 $false|sQ173_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f2533,f1166])).
% 251.83/32.53 fof(f5209,plain,(
% 251.83/32.53 sQ173_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f5208])).
% 251.83/32.53 fof(f5228,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(x,X0,w,X1)|~equidistant(v,X2,u,X3)|~equidistant(x,X2,w,X3)|~between(v,x,X0)|~between(u,w,X1)|v=x|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1059,f123])).
% 251.83/32.53 fof(f5235,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ435_spl <=> (~equidistant(x,X0,w,X1)|~equidistant(v,X2,u,X3)|~equidistant(x,X2,w,X3)|~between(v,x,X0)|~between(u,w,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5238,plain,(
% 251.83/32.53 sQ435_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5228,f5235,f2705])).
% 251.83/32.53 fof(f5258,plain,(
% 251.83/32.53 ![X0,X1]: (~colinear(v,u,X0)|~colinear(v,u,X1)|colinear(x,X0,X1)|v=u|~sQ112_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1993,f262])).
% 251.83/32.53 fof(f5259,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,u,x)|colinear(X0,v,u)|x=u|~sQ112_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1993,f260])).
% 251.83/32.53 fof(f5260,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,u,x)|colinear(X0,v,x)|x=u|~sQ112_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1993,f258])).
% 251.83/32.53 fof(f5261,plain,(
% 251.83/32.53 ![X0]: (~colinear(v,u,X0)|colinear(u,x,X0)|v=u|~sQ112_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1993,f256])).
% 251.83/32.53 fof(f5262,plain,(
% 251.83/32.53 ![X0]: (~colinear(v,u,X0)|colinear(v,x,X0)|v=u|~sQ112_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1993,f254])).
% 251.83/32.53 fof(f5263,plain,(
% 251.83/32.53 colinear(u,v,x)|~sQ112_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f1993,f244])).
% 251.83/32.53 fof(f5267,plain,(
% 251.83/32.53 colinear(x,u,v)|~sQ112_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f1993,f240])).
% 251.83/32.53 fof(f5269,definition,(
% 251.83/32.53 ![X0,X1]: (sQ436_spl <=> (~colinear(v,u,X0)|~colinear(v,u,X1)|colinear(x,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5272,plain,(
% 251.83/32.53 sQ436_spl|sQ10_spl|~sQ112_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5258,f5269,f468,f1992])).
% 251.83/32.53 fof(f5273,definition,(
% 251.83/32.53 ![X0]: (sQ437_spl <=> (~colinear(X0,u,x)|colinear(X0,v,u)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5276,plain,(
% 251.83/32.53 sQ437_spl|sQ70_spl|~sQ112_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5259,f5273,f1359,f1992])).
% 251.83/32.53 fof(f5277,definition,(
% 251.83/32.53 ![X0]: (sQ438_spl <=> (~colinear(X0,u,x)|colinear(X0,v,x)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5280,plain,(
% 251.83/32.53 sQ438_spl|sQ70_spl|~sQ112_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5260,f5277,f1359,f1992])).
% 251.83/32.53 fof(f5281,definition,(
% 251.83/32.53 ![X0]: (sQ439_spl <=> (~colinear(v,u,X0)|colinear(u,x,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5284,plain,(
% 251.83/32.53 sQ439_spl|sQ10_spl|~sQ112_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5261,f5281,f468,f1992])).
% 251.83/32.53 fof(f5285,definition,(
% 251.83/32.53 ![X0]: (sQ440_spl <=> (~colinear(v,u,X0)|colinear(v,x,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5288,plain,(
% 251.83/32.53 sQ440_spl|sQ10_spl|~sQ112_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5262,f5285,f468,f1992])).
% 251.83/32.53 fof(f5289,plain,(
% 251.83/32.53 sQ101_spl|~sQ112_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5263,f1887,f1992])).
% 251.83/32.53 fof(f5291,definition,(
% 251.83/32.53 sQ441_spl <=> (between(v,u,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5323,plain,(
% 251.83/32.53 ~equidistant(u,u,v,v)|~colinear(u,w,u)|colinear(v,x,v)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1060,f1056])).
% 251.83/32.53 fof(f5330,definition,(
% 251.83/32.53 sQ445_spl <=> (colinear(u,w,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5332,plain,(
% 251.83/32.53 ~colinear(u,w,u)|sQ445_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5330])).
% 251.83/32.53 fof(f5333,plain,(
% 251.83/32.53 ~sQ420_spl|~sQ445_spl|sQ106_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5323,f5074,f5330,f1947])).
% 251.83/32.53 fof(f5343,plain,(
% 251.83/32.53 $false|sQ445_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f5332,f247])).
% 251.83/32.53 fof(f5344,plain,(
% 251.83/32.53 sQ445_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f5343])).
% 251.83/32.53 fof(f5351,plain,(
% 251.83/32.53 insertion(lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)=reflection(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1)|lower_dimension_point_2=lower_dimension_point_1),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f1140,f609])).
% 251.83/32.53 fof(f5355,definition,(
% 251.83/32.53 sQ448_spl <=> (insertion(lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)=reflection(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5358,plain,(
% 251.83/32.53 sQ448_spl|sQ56_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5351,f5355,f1153])).
% 251.83/32.53 fof(f5365,plain,(
% 251.83/32.53 ![X0,X1]: (insertion(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1)=extension(insertion(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,X0,X1)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f1140,f611])).
% 251.83/32.53 fof(f5374,definition,(
% 251.83/32.53 ![X0,X1]: (sQ449_spl <=> (insertion(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1)=extension(insertion(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5377,plain,(
% 251.83/32.53 sQ449_spl|sQ56_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5365,f5374,f1153])).
% 251.83/32.53 fof(f5381,plain,(
% 251.83/32.53 ![X0,X1]: (~colinear(v,x,X0)|~colinear(v,x,X1)|colinear(u,X0,X1)|v=x|~sQ98_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1878,f262])).
% 251.83/32.53 fof(f5382,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,x,u)|colinear(X0,v,x)|u=x|~sQ98_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1878,f260])).
% 251.83/32.53 fof(f5383,plain,(
% 251.83/32.53 ![X0]: (~colinear(X0,x,u)|colinear(X0,v,u)|u=x|~sQ98_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1878,f258])).
% 251.83/32.53 fof(f5384,plain,(
% 251.83/32.53 ![X0]: (~colinear(v,x,X0)|colinear(x,u,X0)|v=x|~sQ98_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1878,f256])).
% 251.83/32.53 fof(f5385,plain,(
% 251.83/32.53 ![X0]: (~colinear(v,x,X0)|colinear(v,u,X0)|v=x|~sQ98_spl)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1878,f254])).
% 251.83/32.53 fof(f5390,plain,(
% 251.83/32.53 colinear(u,x,v)|~sQ98_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f1878,f240])).
% 251.83/32.53 fof(f5392,definition,(
% 251.83/32.53 ![X0,X1]: (sQ450_spl <=> (~colinear(v,x,X0)|~colinear(v,x,X1)|colinear(u,X0,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5395,plain,(
% 251.83/32.53 sQ450_spl|sQ182_spl|~sQ98_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5381,f5392,f2705,f1877])).
% 251.83/32.53 fof(f5396,definition,(
% 251.83/32.53 ![X0]: (sQ451_spl <=> (~colinear(X0,x,u)|colinear(X0,v,x)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5399,plain,(
% 251.83/32.53 sQ451_spl|sQ70_spl|~sQ98_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5382,f5396,f1359,f1877])).
% 251.83/32.53 fof(f5400,definition,(
% 251.83/32.53 ![X0]: (sQ452_spl <=> (~colinear(X0,x,u)|colinear(X0,v,u)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5403,plain,(
% 251.83/32.53 sQ452_spl|sQ70_spl|~sQ98_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5383,f5400,f1359,f1877])).
% 251.83/32.53 fof(f5404,definition,(
% 251.83/32.53 ![X0]: (sQ453_spl <=> (~colinear(v,x,X0)|colinear(x,u,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5407,plain,(
% 251.83/32.53 sQ453_spl|sQ182_spl|~sQ98_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5384,f5404,f2705,f1877])).
% 251.83/32.53 fof(f5408,definition,(
% 251.83/32.53 ![X0]: (sQ454_spl <=> (~colinear(v,x,X0)|colinear(v,u,X0)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5411,plain,(
% 251.83/32.53 sQ454_spl|sQ182_spl|~sQ98_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5385,f5408,f2705,f1877])).
% 251.83/32.53 fof(f5415,plain,(
% 251.83/32.53 sQ116_spl|~sQ98_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5390,f2059,f1877])).
% 251.83/32.53 fof(f5451,plain,(
% 251.83/32.53 ~between(u,v,w)|w=v|~sQ5_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f313,f180])).
% 251.83/32.53 fof(f5452,plain,(
% 251.83/32.53 ~between(w,u,v)|u=w|~sQ5_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f313,f178])).
% 251.83/32.53 fof(f5491,plain,(
% 251.83/32.53 ~sQ0_spl|sQ7_spl|~sQ5_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5451,f280,f457,f312])).
% 251.83/32.53 fof(f5492,plain,(
% 251.83/32.53 ~sQ2_spl|sQ12_spl|~sQ5_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5452,f286,f475,f312])).
% 251.83/32.53 fof(f5523,definition,(
% 251.83/32.53 ![X0,X1]: (sQ466_spl <=> (~equidistant(u,X0,v,X1)|~equidistant(w,X0,x,X1)|equidistant(w,X0,x,X1)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5532,plain,(
% 251.83/32.53 extension(x,v,u,w)=reflection(x,v)|x=v|x=v),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f1140,f1132])).
% 251.83/32.53 fof(f5533,plain,(
% 251.83/32.53 extension(v,x,u,w)=reflection(v,x)|v=x),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f141,f1132])).
% 251.83/32.53 fof(f5553,definition,(
% 251.83/32.53 sQ468_spl <=> (extension(x,v,u,w)=reflection(x,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5556,plain,(
% 251.83/32.53 sQ468_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5532,f5553,f2705])).
% 251.83/32.53 fof(f5557,definition,(
% 251.83/32.53 sQ469_spl <=> (extension(v,x,u,w)=reflection(v,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5560,plain,(
% 251.83/32.53 sQ469_spl|sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5533,f5557,f2705])).
% 251.83/32.53 fof(f5565,plain,(
% 251.83/32.53 insertion(lower_dimension_point_2,lower_dimension_point_1,v,x)=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,u,w)|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f1132,f612])).
% 251.83/32.53 fof(f5566,plain,(
% 251.83/32.53 insertion(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))=reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f1140,f612])).
% 251.83/32.53 fof(f5593,definition,(
% 251.83/32.53 sQ470_spl <=> (insertion(lower_dimension_point_2,lower_dimension_point_1,v,x)=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,u,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5596,definition,(
% 251.83/32.53 sQ471_spl <=> (reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2)),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5597,plain,(
% 251.83/32.53 reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2|~sQ471_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5596])).
% 251.83/32.53 fof(f5599,plain,(
% 251.83/32.53 sQ470_spl|sQ471_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5565,f5593,f5596])).
% 251.83/32.53 fof(f5600,definition,(
% 251.83/32.53 sQ472_spl <=> (insertion(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))=reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5603,plain,(
% 251.83/32.53 sQ472_spl|sQ471_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5566,f5600,f5596])).
% 251.83/32.53 fof(f5617,plain,(
% 251.83/32.53 $false|~sQ471_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f5597,f1520])).
% 251.83/32.53 fof(f5618,plain,(
% 251.83/32.53 ~sQ471_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f5617])).
% 251.83/32.53 fof(f5670,plain,(
% 251.83/32.53 extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,u,v)=insertion(lower_dimension_point_2,lower_dimension_point_1,w,x)|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f612,f1133])).
% 251.83/32.53 fof(f5672,plain,(
% 251.83/32.53 extension(x,w,u,v)=reflection(x,w)|x=w|x=w),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f1140,f1133])).
% 251.83/32.53 fof(f5673,plain,(
% 251.83/32.53 extension(w,x,u,v)=reflection(w,x)|w=x),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f141,f1133])).
% 251.83/32.53 fof(f5692,definition,(
% 251.83/32.53 sQ473_spl <=> (extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,u,v)=insertion(lower_dimension_point_2,lower_dimension_point_1,w,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5695,plain,(
% 251.83/32.53 sQ473_spl|sQ471_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5670,f5692,f5596])).
% 251.83/32.53 fof(f5698,definition,(
% 251.83/32.53 sQ474_spl <=> (extension(x,w,u,v)=reflection(x,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5701,plain,(
% 251.83/32.53 sQ474_spl|sQ153_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5672,f5698,f2442])).
% 251.83/32.53 fof(f5702,definition,(
% 251.83/32.53 sQ475_spl <=> (extension(w,x,u,v)=reflection(w,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5705,plain,(
% 251.83/32.53 sQ475_spl|sQ153_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5673,f5702,f2442])).
% 251.83/32.53 fof(f5712,plain,(
% 251.83/32.53 extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,v,w)=insertion(lower_dimension_point_2,lower_dimension_point_1,x,u)|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f612,f1230])).
% 251.83/32.53 fof(f5714,plain,(
% 251.83/32.53 extension(u,x,v,w)=reflection(u,x)|u=x|u=x),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f1140,f1230])).
% 251.83/32.53 fof(f5715,plain,(
% 251.83/32.53 extension(x,u,v,w)=reflection(x,u)|x=u),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f141,f1230])).
% 251.83/32.53 fof(f5734,definition,(
% 251.83/32.53 sQ476_spl <=> (extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,v,w)=insertion(lower_dimension_point_2,lower_dimension_point_1,x,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5737,plain,(
% 251.83/32.53 sQ476_spl|sQ471_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5712,f5734,f5596])).
% 251.83/32.53 fof(f5740,definition,(
% 251.83/32.53 sQ477_spl <=> (extension(u,x,v,w)=reflection(u,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5743,plain,(
% 251.83/32.53 sQ477_spl|sQ70_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5714,f5740,f1359])).
% 251.83/32.53 fof(f5744,definition,(
% 251.83/32.53 sQ478_spl <=> (extension(x,u,v,w)=reflection(x,u))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5747,plain,(
% 251.83/32.53 sQ478_spl|sQ70_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5715,f5744,f1359])).
% 251.83/32.53 fof(f5803,plain,(
% 251.83/32.53 ![X0,X1]: (between(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1))|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.53 inference(paramodulation,[status(thm)],[f1140,f616])).
% 251.83/32.53 fof(f5820,definition,(
% 251.83/32.53 ![X0,X1]: (sQ479_spl <=> (between(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1))))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5823,plain,(
% 251.83/32.53 sQ479_spl|sQ56_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5803,f5820,f1153])).
% 251.83/32.53 fof(f5914,definition,(
% 251.83/32.53 sQ480_spl <=> (equidistant(u,w,u,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5916,plain,(
% 251.83/32.53 ~equidistant(u,w,u,w)|sQ480_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5914])).
% 251.83/32.53 fof(f5918,plain,(
% 251.83/32.53 $false|sQ480_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f5916,f143])).
% 251.83/32.53 fof(f5919,plain,(
% 251.83/32.53 sQ480_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f5918])).
% 251.83/32.53 fof(f5929,definition,(
% 251.83/32.53 sQ481_spl <=> (equidistant(v,x,x,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5931,plain,(
% 251.83/32.53 ~equidistant(v,x,x,v)|sQ481_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5929])).
% 251.83/32.53 fof(f5937,definition,(
% 251.83/32.53 sQ483_spl <=> (between(v,w,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f5939,plain,(
% 251.83/32.53 ~between(v,w,w)|sQ483_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f5937])).
% 251.83/32.53 fof(f5942,plain,(
% 251.83/32.53 $false|sQ483_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f5939,f172])).
% 251.83/32.53 fof(f5943,plain,(
% 251.83/32.53 sQ483_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f5942])).
% 251.83/32.53 fof(f6094,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(x,X0,v,X1)|~equidistant(u,X2,w,X3)|~equidistant(x,X2,v,X3)|~between(u,x,X0)|~between(w,v,X1)|u=x|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1233,f123])).
% 251.83/32.53 fof(f6100,definition,(
% 251.83/32.53 sQ487_spl <=> (equidistant(w,x,u,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6102,plain,(
% 251.83/32.53 ~equidistant(w,x,u,v)|sQ487_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f6100])).
% 251.83/32.53 fof(f6103,definition,(
% 251.83/32.53 sQ488_spl <=> (colinear(w,u,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6104,plain,(
% 251.83/32.53 colinear(w,u,x)|~sQ488_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f6103])).
% 251.83/32.53 fof(f6106,definition,(
% 251.83/32.53 sQ489_spl <=> (colinear(u,w,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6108,plain,(
% 251.83/32.53 ~colinear(u,w,v)|sQ489_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f6106])).
% 251.83/32.53 fof(f6110,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ490_spl <=> (~equidistant(x,X0,v,X1)|~equidistant(u,X2,w,X3)|~equidistant(x,X2,v,X3)|~between(u,x,X0)|~between(w,v,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6113,plain,(
% 251.83/32.53 sQ490_spl|sQ70_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6094,f6110,f1359])).
% 251.83/32.53 fof(f6114,plain,(
% 251.83/32.53 $false|sQ487_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f6102,f1043])).
% 251.83/32.53 fof(f6115,plain,(
% 251.83/32.53 sQ487_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f6114])).
% 251.83/32.53 fof(f6133,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(x,X0,w,X1)|~equidistant(u,X2,v,X3)|~equidistant(x,X2,w,X3)|~between(u,x,X0)|~between(v,w,X1)|u=x|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1234,f123])).
% 251.83/32.53 fof(f6136,definition,(
% 251.83/32.53 sQ491_spl <=> (equidistant(v,x,u,w))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6138,plain,(
% 251.83/32.53 ~equidistant(v,x,u,w)|sQ491_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f6136])).
% 251.83/32.53 fof(f6140,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ492_spl <=> (~equidistant(x,X0,w,X1)|~equidistant(u,X2,v,X3)|~equidistant(x,X2,w,X3)|~between(u,x,X0)|~between(v,w,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6143,plain,(
% 251.83/32.53 sQ492_spl|sQ70_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6133,f6140,f1359])).
% 251.83/32.53 fof(f6144,plain,(
% 251.83/32.53 $false|sQ491_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f6138,f1059])).
% 251.83/32.53 fof(f6145,plain,(
% 251.83/32.53 sQ491_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f6144])).
% 251.83/32.53 fof(f6293,plain,(
% 251.83/32.53 ~equidistant(w,u,x,v)|~colinear(w,x,u)|colinear(x,w,v)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1235,f497])).
% 251.83/32.53 fof(f6309,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(u,X0,v,X1)|~equidistant(x,X2,w,X3)|~equidistant(u,X2,v,X3)|~between(x,u,X0)|~between(w,v,X1)|x=u|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1235,f123])).
% 251.83/32.53 fof(f6315,definition,(
% 251.83/32.53 sQ498_spl <=> (equidistant(w,u,x,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6317,plain,(
% 251.83/32.53 ~equidistant(w,u,x,v)|sQ498_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f6315])).
% 251.83/32.53 fof(f6318,definition,(
% 251.83/32.53 sQ499_spl <=> (colinear(x,w,v))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6319,plain,(
% 251.83/32.53 colinear(x,w,v)|~sQ499_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f6318])).
% 251.83/32.53 fof(f6321,plain,(
% 251.83/32.53 ~sQ498_spl|~sQ319_spl|sQ499_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6293,f6315,f4257,f6318])).
% 251.83/32.53 fof(f6322,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ500_spl <=> (~equidistant(u,X0,v,X1)|~equidistant(x,X2,w,X3)|~equidistant(u,X2,v,X3)|~between(x,u,X0)|~between(w,v,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6325,plain,(
% 251.83/32.53 sQ500_spl|sQ70_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6309,f6322,f1359])).
% 251.83/32.53 fof(f6326,plain,(
% 251.83/32.53 $false|sQ498_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f6317,f1056])).
% 251.83/32.53 fof(f6327,plain,(
% 251.83/32.53 sQ498_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f6326])).
% 251.83/32.53 fof(f6328,plain,(
% 251.83/32.53 $false|sQ260_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f3599,f115])).
% 251.83/32.53 fof(f6329,plain,(
% 251.83/32.53 sQ260_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f6328])).
% 251.83/32.53 fof(f6333,plain,(
% 251.83/32.53 ~equidistant(u,v,w,x)|~colinear(u,w,v)|colinear(w,u,x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1236,f497])).
% 251.83/32.53 fof(f6349,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(v,X0,x,X1)|~equidistant(w,X2,u,X3)|~equidistant(v,X2,x,X3)|~between(w,v,X0)|~between(u,x,X1)|w=v|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1236,f123])).
% 251.83/32.53 fof(f6351,definition,(
% 251.83/32.53 sQ501_spl <=> (equidistant(v,v,x,x))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6353,plain,(
% 251.83/32.53 ~equidistant(v,v,x,x)|sQ501_spl),
% 251.83/32.53 inference(component_clause,[status(thm)],[f6351])).
% 251.83/32.53 fof(f6356,plain,(
% 251.83/32.53 ~sQ264_spl|~sQ489_spl|sQ488_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6333,f3611,f6106,f6103])).
% 251.83/32.53 fof(f6357,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ502_spl <=> (~equidistant(v,X0,x,X1)|~equidistant(w,X2,u,X3)|~equidistant(v,X2,x,X3)|~between(w,v,X0)|~between(u,x,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6360,plain,(
% 251.83/32.53 sQ502_spl|sQ7_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6349,f6357,f457])).
% 251.83/32.53 fof(f6361,plain,(
% 251.83/32.53 $false|sQ489_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f6108,f963])).
% 251.83/32.53 fof(f6362,plain,(
% 251.83/32.53 sQ489_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f6361])).
% 251.83/32.53 fof(f6447,plain,(
% 251.83/32.53 ~equidistant(u,w,v,x)|~colinear(u,v,w)|colinear(v,u,x)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1237,f497])).
% 251.83/32.53 fof(f6463,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(w,X0,x,X1)|~equidistant(v,X2,u,X3)|~equidistant(w,X2,x,X3)|~between(v,w,X0)|~between(u,x,X1)|v=w|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1237,f123])).
% 251.83/32.53 fof(f6466,plain,(
% 251.83/32.53 ~sQ341_spl|~sQ318_spl|sQ112_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6447,f4416,f4254,f1992])).
% 251.83/32.53 fof(f6467,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ506_spl <=> (~equidistant(w,X0,x,X1)|~equidistant(v,X2,u,X3)|~equidistant(w,X2,x,X3)|~between(v,w,X0)|~between(u,x,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6470,plain,(
% 251.83/32.53 sQ506_spl|sQ7_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6463,f6467,f457])).
% 251.83/32.53 fof(f6475,plain,(
% 251.83/32.53 sQ149_spl|~sQ168_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f5154,f2370,f2514])).
% 251.83/32.53 fof(f6476,plain,(
% 251.83/32.53 sQ98_spl|~sQ101_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f3323,f1877,f1887])).
% 251.83/32.53 fof(f6478,plain,(
% 251.83/32.53 $false|sQ265_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f3617,f1233])).
% 251.83/32.53 fof(f6479,plain,(
% 251.83/32.53 sQ265_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f6478])).
% 251.83/32.53 fof(f6657,plain,(
% 251.83/32.53 u=w|~sQ182_spl),
% 251.83/32.53 inference(resolution,[status(thm)],[f3070,f119])).
% 251.83/32.53 fof(f6676,plain,(
% 251.83/32.53 sQ12_spl|~sQ182_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6657,f475,f2705])).
% 251.83/32.53 fof(f6678,plain,(
% 251.83/32.53 $false|sQ146_spl),
% 251.83/32.53 inference(forward_subsumption_resolution,[status(thm)],[f2343,f1009])).
% 251.83/32.53 fof(f6679,plain,(
% 251.83/32.53 sQ146_spl),
% 251.83/32.53 inference(contradiction_clause,[status(thm)],[f6678])).
% 251.83/32.53 fof(f6958,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(v,X0,u,X1)|~equidistant(w,X2,x,X3)|~equidistant(v,X2,u,X3)|~between(w,v,X0)|~between(x,u,X1)|w=v|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1238,f123])).
% 251.83/32.53 fof(f6965,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ511_spl <=> (~equidistant(v,X0,u,X1)|~equidistant(w,X2,x,X3)|~equidistant(v,X2,u,X3)|~between(w,v,X0)|~between(x,u,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.53 introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition])).
% 251.83/32.53 fof(f6968,plain,(
% 251.83/32.53 sQ511_spl|sQ7_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6958,f6965,f457])).
% 251.83/32.53 fof(f6972,plain,(
% 251.83/32.53 ~equidistant(v,u,x,w)|~colinear(v,x,u)|colinear(x,v,w)),
% 251.83/32.53 inference(resolution,[status(thm)],[f1239,f497])).
% 251.83/32.53 fof(f6988,plain,(
% 251.83/32.53 ![X0,X1,X2,X3]: (~equidistant(u,X0,w,X1)|~equidistant(x,X2,v,X3)|~equidistant(u,X2,w,X3)|~between(x,u,X0)|~between(v,w,X1)|x=u|equidistant(X0,X2,X1,X3))),
% 251.83/32.53 inference(resolution,[status(thm)],[f1239,f123])).
% 251.83/32.53 fof(f6991,plain,(
% 251.83/32.53 ~sQ172_spl|~sQ98_spl|sQ151_spl),
% 251.83/32.53 inference(split_clause,[status(thm)],[f6972,f2528,f1877,f2398])).
% 251.83/32.53 fof(f6992,definition,(
% 251.83/32.53 ![X0,X1,X2,X3]: (sQ512_spl <=> (~equidistant(u,X0,w,X1)|~equidistant(x,X2,v,X3)|~equidistant(u,X2,w,X3)|~between(x,u,X0)|~between(v,w,X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f6995,plain,(
% 251.83/32.54 sQ512_spl|sQ70_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f6988,f6992,f1359])).
% 251.83/32.54 fof(f7379,definition,(
% 251.83/32.54 sQ516_spl <=> (x=reflection(x,u))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7380,plain,(
% 251.83/32.54 x=reflection(x,u)|~sQ516_spl),
% 251.83/32.54 inference(component_clause,[status(thm)],[f7379])).
% 251.83/32.54 fof(f7383,definition,(
% 251.83/32.54 sQ517_spl <=> (x=x)),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7403,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X0,X2,X3)|~colinear(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|colinear(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1540])).
% 251.83/32.54 fof(f7407,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~equidistant(X1,X2,lower_dimension_point_1,X3)|~colinear(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|colinear(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1540])).
% 251.83/32.54 fof(f7411,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ518_spl <=> (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X0,X2,X3)|~colinear(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|colinear(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7414,plain,(
% 251.83/32.54 sQ518_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7403,f7411,f1153])).
% 251.83/32.54 fof(f7418,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ519_spl <=> (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~equidistant(X1,X2,lower_dimension_point_1,X3)|~colinear(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|colinear(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7421,plain,(
% 251.83/32.54 sQ519_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7407,f7418,f1153])).
% 251.83/32.54 fof(f7502,plain,(
% 251.83/32.54 between(v,u,x)|~sQ68_spl),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1340,f120])).
% 251.83/32.54 fof(f7517,plain,(
% 251.83/32.54 sQ441_spl|~sQ68_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7502,f5291,f1339])).
% 251.83/32.54 fof(f7540,definition,(
% 251.83/32.54 ![X0,X1]: (sQ526_spl <=> (~equidistant(v,X0,x,X1)|~equidistant(w,X0,u,X1)|equidistant(w,X0,u,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7696,plain,(
% 251.83/32.54 between(v,u,x)|~sQ79_spl),
% 251.83/32.54 inference(resolution,[status(thm)],[f1496,f172])).
% 251.83/32.54 fof(f7698,plain,(
% 251.83/32.54 ~equidistant(v,v,x,x)|~colinear(v,w,v)|colinear(x,u,x)),
% 251.83/32.54 inference(resolution,[status(thm)],[f749,f1240])).
% 251.83/32.54 fof(f7725,definition,(
% 251.83/32.54 sQ529_spl <=> (colinear(v,w,v))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7727,plain,(
% 251.83/32.54 ~colinear(v,w,v)|sQ529_spl),
% 251.83/32.54 inference(component_clause,[status(thm)],[f7725])).
% 251.83/32.54 fof(f7728,definition,(
% 251.83/32.54 sQ530_spl <=> (colinear(x,u,x))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7731,plain,(
% 251.83/32.54 ~sQ501_spl|~sQ529_spl|sQ530_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7698,f6351,f7725,f7728])).
% 251.83/32.54 fof(f7736,plain,(
% 251.83/32.54 $false|sQ529_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f7727,f247])).
% 251.83/32.54 fof(f7737,plain,(
% 251.83/32.54 sQ529_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f7736])).
% 251.83/32.54 fof(f7749,plain,(
% 251.83/32.54 ~equidistant(u,x,v,w)|~between(u,w,x)|between(v,x,w)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2321,f115])).
% 251.83/32.54 fof(f7750,definition,(
% 251.83/32.54 sQ531_spl <=> (equidistant(u,v,v,u))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7752,plain,(
% 251.83/32.54 ~equidistant(u,v,v,u)|sQ531_spl),
% 251.83/32.54 inference(component_clause,[status(thm)],[f7750])).
% 251.83/32.54 fof(f7763,plain,(
% 251.83/32.54 ~sQ342_spl|~sQ247_spl|sQ159_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7749,f4420,f3469,f2466])).
% 251.83/32.54 fof(f7764,plain,(
% 251.83/32.54 $false|sQ531_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f7752,f115])).
% 251.83/32.54 fof(f7765,plain,(
% 251.83/32.54 sQ531_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f7764])).
% 251.83/32.54 fof(f7774,plain,(
% 251.83/32.54 ![X0,X1,X2]: (~between(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0)|~equidistant(lower_dimension_point_2,insertion(lower_dimension_point_2,lower_dimension_point_1,X1,X2),lower_dimension_point_2,X0)|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2|extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X1,X2)=X0)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f612,f944])).
% 251.83/32.54 fof(f7779,definition,(
% 251.83/32.54 ![X0,X1,X2]: (sQ534_spl <=> (~between(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0)|~equidistant(lower_dimension_point_2,insertion(lower_dimension_point_2,lower_dimension_point_1,X1,X2),lower_dimension_point_2,X0)|extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X1,X2)=X0))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7782,plain,(
% 251.83/32.54 sQ534_spl|sQ471_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7774,f7779,f5596])).
% 251.83/32.54 fof(f7813,plain,(
% 251.83/32.54 reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2|reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)=insertion(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2))),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f612,f952])).
% 251.83/32.54 fof(f7842,definition,(
% 251.83/32.54 sQ538_spl <=> (reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)=insertion(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,reflection(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7845,plain,(
% 251.83/32.54 sQ471_spl|sQ538_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7813,f5596,f7842])).
% 251.83/32.54 fof(f7882,plain,(
% 251.83/32.54 ![X0]: (~between(v,w,X0)|between(u,v,X0)|v=w|~sQ0_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f281,f192])).
% 251.83/32.54 fof(f7909,plain,(
% 251.83/32.54 sQ178_spl|sQ7_spl|~sQ0_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7882,f2614,f457,f280])).
% 251.83/32.54 fof(f7927,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(w,x,X0)|~colinear(w,x,X1)|colinear(v,X0,X1)|w=x|~sQ321_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4265,f262])).
% 251.83/32.54 fof(f7928,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,v)|colinear(X0,w,x)|v=x|~sQ321_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4265,f260])).
% 251.83/32.54 fof(f7929,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,v)|colinear(X0,w,v)|v=x|~sQ321_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4265,f258])).
% 251.83/32.54 fof(f7930,plain,(
% 251.83/32.54 ![X0]: (~colinear(w,x,X0)|colinear(x,v,X0)|w=x|~sQ321_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4265,f256])).
% 251.83/32.54 fof(f7931,plain,(
% 251.83/32.54 ![X0]: (~colinear(w,x,X0)|colinear(w,v,X0)|w=x|~sQ321_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4265,f254])).
% 251.83/32.54 fof(f7933,plain,(
% 251.83/32.54 colinear(v,w,x)|~sQ321_spl),
% 251.83/32.54 inference(resolution,[status(thm)],[f4265,f243])).
% 251.83/32.54 fof(f7935,plain,(
% 251.83/32.54 colinear(x,v,w)|~sQ321_spl),
% 251.83/32.54 inference(resolution,[status(thm)],[f4265,f241])).
% 251.83/32.54 fof(f7938,definition,(
% 251.83/32.54 ![X0,X1]: (sQ540_spl <=> (~colinear(w,x,X0)|~colinear(w,x,X1)|colinear(v,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7941,plain,(
% 251.83/32.54 sQ540_spl|sQ153_spl|~sQ321_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7927,f7938,f2442,f4264])).
% 251.83/32.54 fof(f7942,definition,(
% 251.83/32.54 ![X0]: (sQ541_spl <=> (~colinear(X0,x,v)|colinear(X0,w,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7945,plain,(
% 251.83/32.54 sQ541_spl|sQ182_spl|~sQ321_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7928,f7942,f2705,f4264])).
% 251.83/32.54 fof(f7946,definition,(
% 251.83/32.54 ![X0]: (sQ542_spl <=> (~colinear(X0,x,v)|colinear(X0,w,v)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7949,plain,(
% 251.83/32.54 sQ542_spl|sQ182_spl|~sQ321_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7929,f7946,f2705,f4264])).
% 251.83/32.54 fof(f7950,definition,(
% 251.83/32.54 ![X0]: (sQ543_spl <=> (~colinear(w,x,X0)|colinear(x,v,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7953,plain,(
% 251.83/32.54 sQ543_spl|sQ153_spl|~sQ321_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7930,f7950,f2442,f4264])).
% 251.83/32.54 fof(f7954,definition,(
% 251.83/32.54 ![X0]: (sQ544_spl <=> (~colinear(w,x,X0)|colinear(w,v,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f7957,plain,(
% 251.83/32.54 sQ544_spl|sQ153_spl|~sQ321_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7931,f7954,f2442,f4264])).
% 251.83/32.54 fof(f7980,plain,(
% 251.83/32.54 ![X0,X1]: (~equidistant(u,X0,v,X1)|~equidistant(w,X0,x,X1)|~between(u,w,w)|~between(v,x,x)|equidistant(w,X0,x,X1))),
% 251.83/32.54 inference(resolution,[status(thm)],[f2323,f161])).
% 251.83/32.54 fof(f7991,plain,(
% 251.83/32.54 sQ466_spl|~sQ340_spl|~sQ89_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f7980,f5523,f4413,f1752])).
% 251.83/32.54 fof(f8081,plain,(
% 251.83/32.54 ![X0,X1]: (reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2|extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)=insertion(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)))),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f612,f953])).
% 251.83/32.54 fof(f8083,plain,(
% 251.83/32.54 ![X0,X1]: (reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2|extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2,insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1)))),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f612,f953])).
% 251.83/32.54 fof(f8115,definition,(
% 251.83/32.54 ![X0,X1]: (sQ549_spl <=> (extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)=insertion(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8118,plain,(
% 251.83/32.54 sQ471_spl|sQ549_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8081,f5596,f8115])).
% 251.83/32.54 fof(f8122,definition,(
% 251.83/32.54 ![X0,X1]: (sQ550_spl <=> (extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2,insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8125,plain,(
% 251.83/32.54 sQ471_spl|sQ550_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8083,f5596,f8122])).
% 251.83/32.54 fof(f8181,definition,(
% 251.83/32.54 ![X0,X1]: (sQ551_spl <=> (~colinear(x,v,X0)|~colinear(x,v,X1)|colinear(w,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8185,definition,(
% 251.83/32.54 ![X0]: (sQ552_spl <=> (~colinear(X0,v,w)|colinear(X0,x,v)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8189,definition,(
% 251.83/32.54 ![X0]: (sQ553_spl <=> (~colinear(X0,v,w)|colinear(X0,x,w)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8193,definition,(
% 251.83/32.54 ![X0]: (sQ554_spl <=> (~colinear(x,v,X0)|colinear(v,w,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8197,definition,(
% 251.83/32.54 ![X0]: (sQ555_spl <=> (~colinear(x,v,X0)|colinear(x,w,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8289,definition,(
% 251.83/32.54 ![X0,X1]: (sQ561_spl <=> (~colinear(v,w,X0)|~colinear(v,w,X1)|colinear(x,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8293,definition,(
% 251.83/32.54 ![X0]: (sQ562_spl <=> (~colinear(X0,w,x)|colinear(X0,v,w)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8297,definition,(
% 251.83/32.54 ![X0]: (sQ563_spl <=> (~colinear(X0,w,x)|colinear(X0,v,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8301,definition,(
% 251.83/32.54 ![X0]: (sQ564_spl <=> (~colinear(v,w,X0)|colinear(w,x,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8305,definition,(
% 251.83/32.54 ![X0]: (sQ565_spl <=> (~colinear(v,w,X0)|colinear(v,x,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8547,plain,(
% 251.83/32.54 ![X0,X1]: (insertion(lower_dimension_point_2,lower_dimension_point_1,X0,reflection(X1,X0))=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X1,X0)|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f612,f1134])).
% 251.83/32.54 fof(f8583,definition,(
% 251.83/32.54 ![X0,X1]: (sQ566_spl <=> (insertion(lower_dimension_point_2,lower_dimension_point_1,X0,reflection(X1,X0))=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X1,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8586,plain,(
% 251.83/32.54 sQ566_spl|sQ471_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8547,f8583,f5596])).
% 251.83/32.54 fof(f8599,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (insertion(lower_dimension_point_2,lower_dimension_point_1,X0,extension(X1,X0,X2,X3))=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X2,X3)|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f612,f1135])).
% 251.83/32.54 fof(f8639,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ567_spl <=> (insertion(lower_dimension_point_2,lower_dimension_point_1,X0,extension(X1,X0,X2,X3))=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X2,X3)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8642,plain,(
% 251.83/32.54 sQ567_spl|sQ471_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8599,f8639,f5596])).
% 251.83/32.54 fof(f8653,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(x,u,X0)|~colinear(x,u,X1)|colinear(v,X0,X1)|x=u|~sQ112_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5267,f262])).
% 251.83/32.54 fof(f8654,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,u,v)|colinear(X0,x,u)|v=u|~sQ112_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5267,f260])).
% 251.83/32.54 fof(f8655,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,u,v)|colinear(X0,x,v)|v=u|~sQ112_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5267,f258])).
% 251.83/32.54 fof(f8656,plain,(
% 251.83/32.54 ![X0]: (~colinear(x,u,X0)|colinear(u,v,X0)|x=u|~sQ112_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5267,f256])).
% 251.83/32.54 fof(f8657,plain,(
% 251.83/32.54 ![X0]: (~colinear(x,u,X0)|colinear(x,v,X0)|x=u|~sQ112_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5267,f254])).
% 251.83/32.54 fof(f8664,definition,(
% 251.83/32.54 ![X0,X1]: (sQ568_spl <=> (~colinear(x,u,X0)|~colinear(x,u,X1)|colinear(v,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8667,plain,(
% 251.83/32.54 sQ568_spl|sQ70_spl|~sQ112_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8653,f8664,f1359,f1992])).
% 251.83/32.54 fof(f8668,definition,(
% 251.83/32.54 ![X0]: (sQ569_spl <=> (~colinear(X0,u,v)|colinear(X0,x,u)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8671,plain,(
% 251.83/32.54 sQ569_spl|sQ10_spl|~sQ112_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8654,f8668,f468,f1992])).
% 251.83/32.54 fof(f8672,definition,(
% 251.83/32.54 ![X0]: (sQ570_spl <=> (~colinear(X0,u,v)|colinear(X0,x,v)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ570_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8675,plain,(
% 251.83/32.54 sQ570_spl|sQ10_spl|~sQ112_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8655,f8672,f468,f1992])).
% 251.83/32.54 fof(f8676,definition,(
% 251.83/32.54 ![X0]: (sQ571_spl <=> (~colinear(x,u,X0)|colinear(u,v,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8679,plain,(
% 251.83/32.54 sQ571_spl|sQ70_spl|~sQ112_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8656,f8676,f1359,f1992])).
% 251.83/32.54 fof(f8680,definition,(
% 251.83/32.54 ![X0]: (sQ572_spl <=> (~colinear(x,u,X0)|colinear(x,v,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8683,plain,(
% 251.83/32.54 sQ572_spl|sQ70_spl|~sQ112_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8657,f8680,f1359,f1992])).
% 251.83/32.54 fof(f8814,plain,(
% 251.83/32.54 ![X0,X1]: (insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1)=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X1,X0)|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f612,f1138])).
% 251.83/32.54 fof(f8882,definition,(
% 251.83/32.54 ![X0,X1]: (sQ577_spl <=> (insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1)=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X1,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8885,plain,(
% 251.83/32.54 sQ577_spl|sQ471_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8814,f8882,f5596])).
% 251.83/32.54 fof(f8899,plain,(
% 251.83/32.54 ![X0,X1]: (reflection(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1)=insertion(X1,X0,X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f1141,f200])).
% 251.83/32.54 fof(f8903,plain,(
% 251.83/32.54 reflection(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1)=insertion(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|lower_dimension_point_2=lower_dimension_point_1),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f8899])).
% 251.83/32.54 fof(f8915,definition,(
% 251.83/32.54 sQ578_spl <=> (reflection(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1)=insertion(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f8918,plain,(
% 251.83/32.54 sQ578_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8903,f8915,f1153])).
% 251.83/32.54 fof(f8990,plain,(
% 251.83/32.54 ~equidistant(u,u,v,v)|~between(u,w,u)|between(v,x,v)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2331,f2321])).
% 251.83/32.54 fof(f9015,plain,(
% 251.83/32.54 ~sQ420_spl|~sQ419_spl|sQ87_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f8990,f5074,f5071,f1745])).
% 251.83/32.54 fof(f9020,plain,(
% 251.83/32.54 insertion(lower_dimension_point_1,lower_dimension_point_2,v,x)=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,u,w)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f2325,f1151])).
% 251.83/32.54 fof(f9021,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,extension(X1,X0,X2,X3))=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X2,X3)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1135,f1151])).
% 251.83/32.54 fof(f9022,plain,(
% 251.83/32.54 ![X0,X1]: (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,reflection(X1,X0))=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X1,X0)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1134,f1151])).
% 251.83/32.54 fof(f9023,plain,(
% 251.83/32.54 insertion(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,reflection(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1))=reflection(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f952,f1151])).
% 251.83/32.54 fof(f9024,plain,(
% 251.83/32.54 ![X0,X1]: (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1)=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X1,X0)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1138,f1151])).
% 251.83/32.54 fof(f9026,plain,(
% 251.83/32.54 insertion(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))=reflection(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1151])).
% 251.83/32.54 fof(f9046,plain,(
% 251.83/32.54 ![X0,X1,X2]: (~between(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0)|~equidistant(lower_dimension_point_1,insertion(lower_dimension_point_1,lower_dimension_point_2,X1,X2),lower_dimension_point_1,X0)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X1,X2)=X0|~sQ55_spl)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1151,f944])).
% 251.83/32.54 fof(f9072,definition,(
% 251.83/32.54 sQ582_spl <=> (insertion(lower_dimension_point_1,lower_dimension_point_2,v,x)=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,u,w))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9075,plain,(
% 251.83/32.54 sQ582_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9020,f9072,f1521,f1150])).
% 251.83/32.54 fof(f9076,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ583_spl <=> (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,extension(X1,X0,X2,X3))=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X2,X3)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9079,plain,(
% 251.83/32.54 sQ583_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9021,f9076,f1521,f1150])).
% 251.83/32.54 fof(f9080,definition,(
% 251.83/32.54 ![X0,X1]: (sQ584_spl <=> (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,reflection(X1,X0))=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X1,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9083,plain,(
% 251.83/32.54 sQ584_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9022,f9080,f1521,f1150])).
% 251.83/32.54 fof(f9084,definition,(
% 251.83/32.54 sQ585_spl <=> (insertion(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,reflection(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1))=reflection(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9087,plain,(
% 251.83/32.54 sQ585_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9023,f9084,f1521,f1150])).
% 251.83/32.54 fof(f9088,definition,(
% 251.83/32.54 ![X0,X1]: (sQ586_spl <=> (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1)=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X1,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ586_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9091,plain,(
% 251.83/32.54 sQ586_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9024,f9088,f1521,f1150])).
% 251.83/32.54 fof(f9093,definition,(
% 251.83/32.54 sQ587_spl <=> (insertion(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))=reflection(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ587_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9096,plain,(
% 251.83/32.54 sQ587_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9026,f9093,f1521,f1150])).
% 251.83/32.54 fof(f9122,definition,(
% 251.83/32.54 ![X0,X1,X2]: (sQ588_spl <=> (~between(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0)|~equidistant(lower_dimension_point_1,insertion(lower_dimension_point_1,lower_dimension_point_2,X1,X2),lower_dimension_point_1,X0)|extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X1,X2)=X0))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9125,plain,(
% 251.83/32.54 sQ588_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9046,f9122,f1521,f1150])).
% 251.83/32.54 fof(f9276,plain,(
% 251.83/32.54 ![X0,X1]: (~between(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1))|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1151,f1278])).
% 251.83/32.54 fof(f9277,plain,(
% 251.83/32.54 ![X0,X1]: (~between(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1))|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f612,f1278])).
% 251.83/32.54 fof(f9288,definition,(
% 251.83/32.54 ![X0,X1]: (sQ589_spl <=> (~between(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9291,plain,(
% 251.83/32.54 sQ589_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9276,f9288,f1521,f1150])).
% 251.83/32.54 fof(f9292,definition,(
% 251.83/32.54 ![X0,X1]: (sQ590_spl <=> (~between(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9295,plain,(
% 251.83/32.54 sQ590_spl|sQ471_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9277,f9292,f5596])).
% 251.83/32.54 fof(f9310,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(w,v,X0)|~colinear(w,v,X1)|colinear(x,X0,X1)|w=v|~sQ402_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4894,f262])).
% 251.83/32.54 fof(f9311,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,v,x)|colinear(X0,w,v)|x=v|~sQ402_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4894,f260])).
% 251.83/32.54 fof(f9312,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,v,x)|colinear(X0,w,x)|x=v|~sQ402_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4894,f258])).
% 251.83/32.54 fof(f9313,plain,(
% 251.83/32.54 ![X0]: (~colinear(w,v,X0)|colinear(v,x,X0)|w=v|~sQ402_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4894,f256])).
% 251.83/32.54 fof(f9314,plain,(
% 251.83/32.54 ![X0]: (~colinear(w,v,X0)|colinear(w,x,X0)|w=v|~sQ402_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4894,f254])).
% 251.83/32.54 fof(f9321,definition,(
% 251.83/32.54 ![X0,X1]: (sQ591_spl <=> (~colinear(w,v,X0)|~colinear(w,v,X1)|colinear(x,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9324,plain,(
% 251.83/32.54 sQ591_spl|sQ7_spl|~sQ402_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9310,f9321,f457,f4893])).
% 251.83/32.54 fof(f9325,definition,(
% 251.83/32.54 ![X0]: (sQ592_spl <=> (~colinear(X0,v,x)|colinear(X0,w,v)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9328,plain,(
% 251.83/32.54 sQ592_spl|sQ182_spl|~sQ402_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9311,f9325,f2705,f4893])).
% 251.83/32.54 fof(f9329,definition,(
% 251.83/32.54 ![X0]: (sQ593_spl <=> (~colinear(X0,v,x)|colinear(X0,w,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9332,plain,(
% 251.83/32.54 sQ593_spl|sQ182_spl|~sQ402_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9312,f9329,f2705,f4893])).
% 251.83/32.54 fof(f9333,definition,(
% 251.83/32.54 ![X0]: (sQ594_spl <=> (~colinear(w,v,X0)|colinear(v,x,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9336,plain,(
% 251.83/32.54 sQ594_spl|sQ7_spl|~sQ402_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9313,f9333,f457,f4893])).
% 251.83/32.54 fof(f9337,definition,(
% 251.83/32.54 ![X0]: (sQ595_spl <=> (~colinear(w,v,X0)|colinear(w,x,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9340,plain,(
% 251.83/32.54 sQ595_spl|sQ7_spl|~sQ402_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9314,f9337,f457,f4893])).
% 251.83/32.54 fof(f9391,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(x,w,X0)|~colinear(x,w,X1)|colinear(v,X0,X1)|x=w|~sQ499_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6319,f262])).
% 251.83/32.54 fof(f9392,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,w,v)|colinear(X0,x,w)|v=w|~sQ499_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6319,f260])).
% 251.83/32.54 fof(f9393,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,w,v)|colinear(X0,x,v)|v=w|~sQ499_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6319,f258])).
% 251.83/32.54 fof(f9394,plain,(
% 251.83/32.54 ![X0]: (~colinear(x,w,X0)|colinear(w,v,X0)|x=w|~sQ499_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6319,f256])).
% 251.83/32.54 fof(f9395,plain,(
% 251.83/32.54 ![X0]: (~colinear(x,w,X0)|colinear(x,v,X0)|x=w|~sQ499_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6319,f254])).
% 251.83/32.54 fof(f9402,definition,(
% 251.83/32.54 ![X0,X1]: (sQ597_spl <=> (~colinear(x,w,X0)|~colinear(x,w,X1)|colinear(v,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ597_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9405,plain,(
% 251.83/32.54 sQ597_spl|sQ153_spl|~sQ499_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9391,f9402,f2442,f6318])).
% 251.83/32.54 fof(f9406,definition,(
% 251.83/32.54 ![X0]: (sQ598_spl <=> (~colinear(X0,w,v)|colinear(X0,x,w)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9409,plain,(
% 251.83/32.54 sQ598_spl|sQ7_spl|~sQ499_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9392,f9406,f457,f6318])).
% 251.83/32.54 fof(f9410,definition,(
% 251.83/32.54 ![X0]: (sQ599_spl <=> (~colinear(X0,w,v)|colinear(X0,x,v)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9413,plain,(
% 251.83/32.54 sQ599_spl|sQ7_spl|~sQ499_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9393,f9410,f457,f6318])).
% 251.83/32.54 fof(f9414,definition,(
% 251.83/32.54 ![X0]: (sQ600_spl <=> (~colinear(x,w,X0)|colinear(w,v,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9417,plain,(
% 251.83/32.54 sQ600_spl|sQ153_spl|~sQ499_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9394,f9414,f2442,f6318])).
% 251.83/32.54 fof(f9418,definition,(
% 251.83/32.54 ![X0]: (sQ601_spl <=> (~colinear(x,w,X0)|colinear(x,v,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9421,plain,(
% 251.83/32.54 sQ601_spl|sQ153_spl|~sQ499_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9395,f9418,f2442,f6318])).
% 251.83/32.54 fof(f9465,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(u,x,X0)|~colinear(u,x,X1)|colinear(v,X0,X1)|u=x|~sQ101_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3322,f262])).
% 251.83/32.54 fof(f9466,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,v)|colinear(X0,u,x)|v=x|~sQ101_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3322,f260])).
% 251.83/32.54 fof(f9467,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,v)|colinear(X0,u,v)|v=x|~sQ101_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3322,f258])).
% 251.83/32.54 fof(f9468,plain,(
% 251.83/32.54 ![X0]: (~colinear(u,x,X0)|colinear(x,v,X0)|u=x|~sQ101_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3322,f256])).
% 251.83/32.54 fof(f9469,plain,(
% 251.83/32.54 ![X0]: (~colinear(u,x,X0)|colinear(u,v,X0)|u=x|~sQ101_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3322,f254])).
% 251.83/32.54 fof(f9476,definition,(
% 251.83/32.54 ![X0,X1]: (sQ602_spl <=> (~colinear(u,x,X0)|~colinear(u,x,X1)|colinear(v,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ602_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9479,plain,(
% 251.83/32.54 sQ602_spl|sQ70_spl|~sQ101_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9465,f9476,f1359,f1887])).
% 251.83/32.54 fof(f9480,definition,(
% 251.83/32.54 ![X0]: (sQ603_spl <=> (~colinear(X0,x,v)|colinear(X0,u,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9483,plain,(
% 251.83/32.54 sQ603_spl|sQ182_spl|~sQ101_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9466,f9480,f2705,f1887])).
% 251.83/32.54 fof(f9484,definition,(
% 251.83/32.54 ![X0]: (sQ604_spl <=> (~colinear(X0,x,v)|colinear(X0,u,v)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9487,plain,(
% 251.83/32.54 sQ604_spl|sQ182_spl|~sQ101_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9467,f9484,f2705,f1887])).
% 251.83/32.54 fof(f9488,definition,(
% 251.83/32.54 ![X0]: (sQ605_spl <=> (~colinear(u,x,X0)|colinear(x,v,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9491,plain,(
% 251.83/32.54 sQ605_spl|sQ70_spl|~sQ101_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9468,f9488,f1359,f1887])).
% 251.83/32.54 fof(f9492,definition,(
% 251.83/32.54 ![X0]: (sQ606_spl <=> (~colinear(u,x,X0)|colinear(u,v,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ606_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9495,plain,(
% 251.83/32.54 sQ606_spl|sQ70_spl|~sQ101_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9469,f9492,f1359,f1887])).
% 251.83/32.54 fof(f9530,definition,(
% 251.83/32.54 sQ613_spl <=> (between(u,x,x))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ613_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9532,plain,(
% 251.83/32.54 ~between(u,x,x)|sQ613_spl),
% 251.83/32.54 inference(component_clause,[status(thm)],[f9530])).
% 251.83/32.54 fof(f9538,plain,(
% 251.83/32.54 $false|sQ613_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f9532,f172])).
% 251.83/32.54 fof(f9539,plain,(
% 251.83/32.54 sQ613_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f9538])).
% 251.83/32.54 fof(f9540,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(w,x,X0)|~colinear(w,x,X1)|colinear(u,X0,X1)|w=x|~sQ319_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4258,f262])).
% 251.83/32.54 fof(f9541,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,u)|colinear(X0,w,x)|u=x|~sQ319_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4258,f260])).
% 251.83/32.54 fof(f9542,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,u)|colinear(X0,w,u)|u=x|~sQ319_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4258,f258])).
% 251.83/32.54 fof(f9543,plain,(
% 251.83/32.54 ![X0]: (~colinear(w,x,X0)|colinear(x,u,X0)|w=x|~sQ319_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4258,f256])).
% 251.83/32.54 fof(f9544,plain,(
% 251.83/32.54 ![X0]: (~colinear(w,x,X0)|colinear(w,u,X0)|w=x|~sQ319_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f4258,f254])).
% 251.83/32.54 fof(f9551,definition,(
% 251.83/32.54 ![X0,X1]: (sQ615_spl <=> (~colinear(w,x,X0)|~colinear(w,x,X1)|colinear(u,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ615_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9554,plain,(
% 251.83/32.54 sQ615_spl|sQ153_spl|~sQ319_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9540,f9551,f2442,f4257])).
% 251.83/32.54 fof(f9555,definition,(
% 251.83/32.54 ![X0]: (sQ616_spl <=> (~colinear(X0,x,u)|colinear(X0,w,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9558,plain,(
% 251.83/32.54 sQ616_spl|sQ70_spl|~sQ319_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9541,f9555,f1359,f4257])).
% 251.83/32.54 fof(f9559,definition,(
% 251.83/32.54 ![X0]: (sQ617_spl <=> (~colinear(X0,x,u)|colinear(X0,w,u)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ617_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9562,plain,(
% 251.83/32.54 sQ617_spl|sQ70_spl|~sQ319_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9542,f9559,f1359,f4257])).
% 251.83/32.54 fof(f9563,definition,(
% 251.83/32.54 ![X0]: (sQ618_spl <=> (~colinear(w,x,X0)|colinear(x,u,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ618_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9566,plain,(
% 251.83/32.54 sQ618_spl|sQ153_spl|~sQ319_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9543,f9563,f2442,f4257])).
% 251.83/32.54 fof(f9567,definition,(
% 251.83/32.54 ![X0]: (sQ619_spl <=> (~colinear(w,x,X0)|colinear(w,u,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ619_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9570,plain,(
% 251.83/32.54 sQ619_spl|sQ153_spl|~sQ319_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9544,f9567,f2442,f4257])).
% 251.83/32.54 fof(f9572,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(w,u,X0)|~colinear(w,u,X1)|colinear(x,X0,X1)|w=u|~sQ488_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6104,f262])).
% 251.83/32.54 fof(f9573,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,u,x)|colinear(X0,w,u)|x=u|~sQ488_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6104,f260])).
% 251.83/32.54 fof(f9574,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,u,x)|colinear(X0,w,x)|x=u|~sQ488_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6104,f258])).
% 251.83/32.54 fof(f9575,plain,(
% 251.83/32.54 ![X0]: (~colinear(w,u,X0)|colinear(u,x,X0)|w=u|~sQ488_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6104,f256])).
% 251.83/32.54 fof(f9576,plain,(
% 251.83/32.54 ![X0]: (~colinear(w,u,X0)|colinear(w,x,X0)|w=u|~sQ488_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f6104,f254])).
% 251.83/32.54 fof(f9583,definition,(
% 251.83/32.54 ![X0,X1]: (sQ620_spl <=> (~colinear(w,u,X0)|~colinear(w,u,X1)|colinear(x,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ620_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9586,plain,(
% 251.83/32.54 sQ620_spl|sQ12_spl|~sQ488_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9572,f9583,f475,f6103])).
% 251.83/32.54 fof(f9587,definition,(
% 251.83/32.54 ![X0]: (sQ621_spl <=> (~colinear(X0,u,x)|colinear(X0,w,u)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ621_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9590,plain,(
% 251.83/32.54 sQ621_spl|sQ70_spl|~sQ488_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9573,f9587,f1359,f6103])).
% 251.83/32.54 fof(f9591,definition,(
% 251.83/32.54 ![X0]: (sQ622_spl <=> (~colinear(X0,u,x)|colinear(X0,w,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ622_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9594,plain,(
% 251.83/32.54 sQ622_spl|sQ70_spl|~sQ488_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9574,f9591,f1359,f6103])).
% 251.83/32.54 fof(f9595,definition,(
% 251.83/32.54 ![X0]: (sQ623_spl <=> (~colinear(w,u,X0)|colinear(u,x,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ623_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9598,plain,(
% 251.83/32.54 sQ623_spl|sQ12_spl|~sQ488_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9575,f9595,f475,f6103])).
% 251.83/32.54 fof(f9599,definition,(
% 251.83/32.54 ![X0]: (sQ624_spl <=> (~colinear(w,u,X0)|colinear(w,x,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9602,plain,(
% 251.83/32.54 sQ624_spl|sQ12_spl|~sQ488_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9576,f9599,f475,f6103])).
% 251.83/32.54 fof(f9628,plain,(
% 251.83/32.54 ~equidistant(u,x,w,v)|~between(u,v,x)|between(w,x,v)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2347,f115])).
% 251.83/32.54 fof(f9639,plain,(
% 251.83/32.54 ~sQ265_spl|~sQ67_spl|sQ261_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9628,f3615,f1335,f3601])).
% 251.83/32.54 fof(f9657,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(u,x,X0)|~colinear(u,x,X1)|colinear(w,X0,X1)|u=x|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5151,f262])).
% 251.83/32.54 fof(f9658,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,w)|colinear(X0,u,x)|w=x|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5151,f260])).
% 251.83/32.54 fof(f9659,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,w)|colinear(X0,u,w)|w=x|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5151,f258])).
% 251.83/32.54 fof(f9660,plain,(
% 251.83/32.54 ![X0]: (~colinear(u,x,X0)|colinear(x,w,X0)|u=x|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5151,f256])).
% 251.83/32.54 fof(f9661,plain,(
% 251.83/32.54 ![X0]: (~colinear(u,x,X0)|colinear(u,w,X0)|u=x|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5151,f254])).
% 251.83/32.54 fof(f9668,definition,(
% 251.83/32.54 ![X0,X1]: (sQ627_spl <=> (~colinear(u,x,X0)|~colinear(u,x,X1)|colinear(w,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9671,plain,(
% 251.83/32.54 sQ627_spl|sQ70_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9657,f9668,f1359,f2514])).
% 251.83/32.54 fof(f9672,definition,(
% 251.83/32.54 ![X0]: (sQ628_spl <=> (~colinear(X0,x,w)|colinear(X0,u,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9675,plain,(
% 251.83/32.54 sQ628_spl|sQ153_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9658,f9672,f2442,f2514])).
% 251.83/32.54 fof(f9676,definition,(
% 251.83/32.54 ![X0]: (sQ629_spl <=> (~colinear(X0,x,w)|colinear(X0,u,w)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ629_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9679,plain,(
% 251.83/32.54 sQ629_spl|sQ153_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9659,f9676,f2442,f2514])).
% 251.83/32.54 fof(f9680,definition,(
% 251.83/32.54 ![X0]: (sQ630_spl <=> (~colinear(u,x,X0)|colinear(x,w,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ630_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9683,plain,(
% 251.83/32.54 sQ630_spl|sQ70_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9660,f9680,f1359,f2514])).
% 251.83/32.54 fof(f9684,definition,(
% 251.83/32.54 ![X0]: (sQ631_spl <=> (~colinear(u,x,X0)|colinear(u,w,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ631_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9687,plain,(
% 251.83/32.54 sQ631_spl|sQ70_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9661,f9684,f1359,f2514])).
% 251.83/32.54 fof(f9726,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(x,w,X0)|~colinear(x,w,X1)|colinear(u,X0,X1)|x=w|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5153,f262])).
% 251.83/32.54 fof(f9727,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,w,u)|colinear(X0,x,w)|u=w|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5153,f260])).
% 251.83/32.54 fof(f9728,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,w,u)|colinear(X0,x,u)|u=w|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5153,f258])).
% 251.83/32.54 fof(f9729,plain,(
% 251.83/32.54 ![X0]: (~colinear(x,w,X0)|colinear(w,u,X0)|x=w|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5153,f256])).
% 251.83/32.54 fof(f9730,plain,(
% 251.83/32.54 ![X0]: (~colinear(x,w,X0)|colinear(x,u,X0)|x=w|~sQ168_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f5153,f254])).
% 251.83/32.54 fof(f9737,definition,(
% 251.83/32.54 ![X0,X1]: (sQ632_spl <=> (~colinear(x,w,X0)|~colinear(x,w,X1)|colinear(u,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ632_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9740,plain,(
% 251.83/32.54 sQ632_spl|sQ153_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9726,f9737,f2442,f2514])).
% 251.83/32.54 fof(f9741,definition,(
% 251.83/32.54 ![X0]: (sQ633_spl <=> (~colinear(X0,w,u)|colinear(X0,x,w)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ633_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9744,plain,(
% 251.83/32.54 sQ633_spl|sQ12_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9727,f9741,f475,f2514])).
% 251.83/32.54 fof(f9745,definition,(
% 251.83/32.54 ![X0]: (sQ634_spl <=> (~colinear(X0,w,u)|colinear(X0,x,u)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9748,plain,(
% 251.83/32.54 sQ634_spl|sQ12_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9728,f9745,f475,f2514])).
% 251.83/32.54 fof(f9749,definition,(
% 251.83/32.54 ![X0]: (sQ635_spl <=> (~colinear(x,w,X0)|colinear(w,u,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ635_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9752,plain,(
% 251.83/32.54 sQ635_spl|sQ153_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9729,f9749,f2442,f2514])).
% 251.83/32.54 fof(f9753,definition,(
% 251.83/32.54 ![X0]: (sQ636_spl <=> (~colinear(x,w,X0)|colinear(x,u,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ636_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9756,plain,(
% 251.83/32.54 sQ636_spl|sQ153_spl|~sQ168_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9730,f9753,f2442,f2514])).
% 251.83/32.54 fof(f9779,plain,(
% 251.83/32.54 ![X0,X1]: (~equidistant(u,X0,w,X1)|~equidistant(v,X0,x,X1)|~between(u,v,v)|~between(w,x,x)|equidistant(v,X0,x,X1))),
% 251.83/32.54 inference(resolution,[status(thm)],[f2349,f161])).
% 251.83/32.54 fof(f9790,plain,(
% 251.83/32.54 sQ336_spl|~sQ84_spl|~sQ263_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9779,f4392,f1735,f3608])).
% 251.83/32.54 fof(f9812,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(v,x,X0)|~colinear(v,x,X1)|colinear(w,X0,X1)|v=x|~sQ266_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3723,f262])).
% 251.83/32.54 fof(f9813,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,w)|colinear(X0,v,x)|w=x|~sQ266_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3723,f260])).
% 251.83/32.54 fof(f9814,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,x,w)|colinear(X0,v,w)|w=x|~sQ266_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3723,f258])).
% 251.83/32.54 fof(f9815,plain,(
% 251.83/32.54 ![X0]: (~colinear(v,x,X0)|colinear(x,w,X0)|v=x|~sQ266_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3723,f256])).
% 251.83/32.54 fof(f9816,plain,(
% 251.83/32.54 ![X0]: (~colinear(v,x,X0)|colinear(v,w,X0)|v=x|~sQ266_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f3723,f254])).
% 251.83/32.54 fof(f9823,definition,(
% 251.83/32.54 ![X0,X1]: (sQ640_spl <=> (~colinear(v,x,X0)|~colinear(v,x,X1)|colinear(w,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ640_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9826,plain,(
% 251.83/32.54 sQ640_spl|sQ182_spl|~sQ266_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9812,f9823,f2705,f3722])).
% 251.83/32.54 fof(f9827,definition,(
% 251.83/32.54 ![X0]: (sQ641_spl <=> (~colinear(X0,x,w)|colinear(X0,v,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ641_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9830,plain,(
% 251.83/32.54 sQ641_spl|sQ153_spl|~sQ266_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9813,f9827,f2442,f3722])).
% 251.83/32.54 fof(f9831,definition,(
% 251.83/32.54 ![X0]: (sQ642_spl <=> (~colinear(X0,x,w)|colinear(X0,v,w)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ642_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9834,plain,(
% 251.83/32.54 sQ642_spl|sQ153_spl|~sQ266_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9814,f9831,f2442,f3722])).
% 251.83/32.54 fof(f9835,definition,(
% 251.83/32.54 ![X0]: (sQ643_spl <=> (~colinear(v,x,X0)|colinear(x,w,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ643_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9838,plain,(
% 251.83/32.54 sQ643_spl|sQ182_spl|~sQ266_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9815,f9835,f2705,f3722])).
% 251.83/32.54 fof(f9839,definition,(
% 251.83/32.54 ![X0]: (sQ644_spl <=> (~colinear(v,x,X0)|colinear(v,w,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ644_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9842,plain,(
% 251.83/32.54 sQ644_spl|sQ182_spl|~sQ266_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9816,f9839,f2705,f3722])).
% 251.83/32.54 fof(f9890,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(x,v,X0)|~colinear(x,v,X1)|colinear(u,X0,X1)|x=v|~sQ105_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f1945,f262])).
% 251.83/32.54 fof(f9891,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,v,u)|colinear(X0,x,v)|u=v|~sQ105_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f1945,f260])).
% 251.83/32.54 fof(f9892,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,v,u)|colinear(X0,x,u)|u=v|~sQ105_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f1945,f258])).
% 251.83/32.54 fof(f9893,plain,(
% 251.83/32.54 ![X0]: (~colinear(x,v,X0)|colinear(v,u,X0)|x=v|~sQ105_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f1945,f256])).
% 251.83/32.54 fof(f9894,plain,(
% 251.83/32.54 ![X0]: (~colinear(x,v,X0)|colinear(x,u,X0)|x=v|~sQ105_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f1945,f254])).
% 251.83/32.54 fof(f9901,definition,(
% 251.83/32.54 ![X0,X1]: (sQ645_spl <=> (~colinear(x,v,X0)|~colinear(x,v,X1)|colinear(u,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ645_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9904,plain,(
% 251.83/32.54 sQ645_spl|sQ182_spl|~sQ105_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9890,f9901,f2705,f1944])).
% 251.83/32.54 fof(f9905,definition,(
% 251.83/32.54 ![X0]: (sQ646_spl <=> (~colinear(X0,v,u)|colinear(X0,x,v)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ646_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9908,plain,(
% 251.83/32.54 sQ646_spl|sQ10_spl|~sQ105_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9891,f9905,f468,f1944])).
% 251.83/32.54 fof(f9909,definition,(
% 251.83/32.54 ![X0]: (sQ647_spl <=> (~colinear(X0,v,u)|colinear(X0,x,u)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ647_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9912,plain,(
% 251.83/32.54 sQ647_spl|sQ10_spl|~sQ105_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9892,f9909,f468,f1944])).
% 251.83/32.54 fof(f9913,definition,(
% 251.83/32.54 ![X0]: (sQ648_spl <=> (~colinear(x,v,X0)|colinear(v,u,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ648_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9916,plain,(
% 251.83/32.54 sQ648_spl|sQ182_spl|~sQ105_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9893,f9913,f2705,f1944])).
% 251.83/32.54 fof(f9917,definition,(
% 251.83/32.54 ![X0]: (sQ649_spl <=> (~colinear(x,v,X0)|colinear(x,u,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ649_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9920,plain,(
% 251.83/32.54 sQ649_spl|sQ182_spl|~sQ105_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9894,f9917,f2705,f1944])).
% 251.83/32.54 fof(f9957,plain,(
% 251.83/32.54 ![X0,X1]: (~colinear(u,w,X0)|~colinear(u,w,X1)|colinear(x,X0,X1)|u=w|~sQ149_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2371,f262])).
% 251.83/32.54 fof(f9958,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,w,x)|colinear(X0,u,w)|x=w|~sQ149_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2371,f260])).
% 251.83/32.54 fof(f9959,plain,(
% 251.83/32.54 ![X0]: (~colinear(X0,w,x)|colinear(X0,u,x)|x=w|~sQ149_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2371,f258])).
% 251.83/32.54 fof(f9960,plain,(
% 251.83/32.54 ![X0]: (~colinear(u,w,X0)|colinear(w,x,X0)|u=w|~sQ149_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2371,f256])).
% 251.83/32.54 fof(f9961,plain,(
% 251.83/32.54 ![X0]: (~colinear(u,w,X0)|colinear(u,x,X0)|u=w|~sQ149_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2371,f254])).
% 251.83/32.54 fof(f9968,definition,(
% 251.83/32.54 ![X0,X1]: (sQ656_spl <=> (~colinear(u,w,X0)|~colinear(u,w,X1)|colinear(x,X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ656_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9971,plain,(
% 251.83/32.54 sQ656_spl|sQ12_spl|~sQ149_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9957,f9968,f475,f2370])).
% 251.83/32.54 fof(f9972,definition,(
% 251.83/32.54 ![X0]: (sQ657_spl <=> (~colinear(X0,w,x)|colinear(X0,u,w)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ657_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9975,plain,(
% 251.83/32.54 sQ657_spl|sQ153_spl|~sQ149_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9958,f9972,f2442,f2370])).
% 251.83/32.54 fof(f9976,definition,(
% 251.83/32.54 ![X0]: (sQ658_spl <=> (~colinear(X0,w,x)|colinear(X0,u,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9979,plain,(
% 251.83/32.54 sQ658_spl|sQ153_spl|~sQ149_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9959,f9976,f2442,f2370])).
% 251.83/32.54 fof(f9980,definition,(
% 251.83/32.54 ![X0]: (sQ659_spl <=> (~colinear(u,w,X0)|colinear(w,x,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9983,plain,(
% 251.83/32.54 sQ659_spl|sQ12_spl|~sQ149_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9960,f9980,f475,f2370])).
% 251.83/32.54 fof(f9984,definition,(
% 251.83/32.54 ![X0]: (sQ660_spl <=> (~colinear(u,w,X0)|colinear(u,x,X0)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f9987,plain,(
% 251.83/32.54 sQ660_spl|sQ12_spl|~sQ149_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f9961,f9984,f475,f2370])).
% 251.83/32.54 fof(f10022,plain,(
% 251.83/32.54 extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,u,v)=insertion(lower_dimension_point_1,lower_dimension_point_2,w,x)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1151,f2351])).
% 251.83/32.54 fof(f10063,definition,(
% 251.83/32.54 sQ666_spl <=> (extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,u,v)=insertion(lower_dimension_point_1,lower_dimension_point_2,w,x))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10066,plain,(
% 251.83/32.54 sQ666_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10022,f10063,f1521,f1150])).
% 251.83/32.54 fof(f10279,plain,(
% 251.83/32.54 ![X0]: (~equidistant(v,x,v,X0)|~equidistant(u,x,u,X0)|v=u|x=X0|~sQ15_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f581,f205])).
% 251.83/32.54 fof(f10318,definition,(
% 251.83/32.54 ![X0]: (sQ677_spl <=> (~equidistant(v,x,v,X0)|~equidistant(u,x,u,X0)|x=X0))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10319,plain,(
% 251.83/32.54 ![X0]: (~equidistant(v,x,v,X0)|~equidistant(u,x,u,X0)|x=X0|~sQ677_spl)),
% 251.83/32.54 inference(component_clause,[status(thm)],[f10318])).
% 251.83/32.54 fof(f10321,plain,(
% 251.83/32.54 sQ677_spl|sQ10_spl|~sQ15_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10279,f10318,f468,f517])).
% 251.83/32.54 fof(f10510,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1151,f1528])).
% 251.83/32.54 fof(f10511,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (insertion(lower_dimension_point_2,lower_dimension_point_1,X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f612,f1528])).
% 251.83/32.54 fof(f10521,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (extension(X0,X1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))=extension(X0,X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))|X0=X1|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1528])).
% 251.83/32.54 fof(f10612,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ678_spl <=> (insertion(lower_dimension_point_1,lower_dimension_point_2,X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))=extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ678_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10615,plain,(
% 251.83/32.54 sQ678_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10510,f10612,f1521,f1150])).
% 251.83/32.54 fof(f10616,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ679_spl <=> (insertion(lower_dimension_point_2,lower_dimension_point_1,X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))=extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10619,plain,(
% 251.83/32.54 sQ679_spl|sQ471_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10511,f10616,f5596])).
% 251.83/32.54 fof(f10630,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ680_spl <=> (extension(X0,X1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))=extension(X0,X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))|X0=X1))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ680_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10633,plain,(
% 251.83/32.54 sQ680_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10521,f10630,f1153])).
% 251.83/32.54 fof(f10764,plain,(
% 251.83/32.54 $false|sQ420_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f5076,f161])).
% 251.83/32.54 fof(f10765,plain,(
% 251.83/32.54 sQ420_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f10764])).
% 251.83/32.54 fof(f10767,plain,(
% 251.83/32.54 $false|~sQ112_spl|sQ115_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f2058,f5267])).
% 251.83/32.54 fof(f10768,plain,(
% 251.83/32.54 ~sQ112_spl|sQ115_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f10767])).
% 251.83/32.54 fof(f10885,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(lower_dimension_point_1,X0,X2,X3)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1529])).
% 251.83/32.54 fof(f10890,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(X1,X2,lower_dimension_point_1,X3)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1529])).
% 251.83/32.54 fof(f10898,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ682_spl <=> (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(lower_dimension_point_1,X0,X2,X3)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ682_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10901,plain,(
% 251.83/32.54 sQ682_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10885,f10898,f1153])).
% 251.83/32.54 fof(f10908,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ683_spl <=> (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(X1,X2,lower_dimension_point_1,X3)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10911,plain,(
% 251.83/32.54 sQ683_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10890,f10908,f1153])).
% 251.83/32.54 fof(f10930,plain,(
% 251.83/32.54 ![X0,X1,X2,X3]: (~equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1)|equidistant(X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2),X0,X1)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1530])).
% 251.83/32.54 fof(f10933,definition,(
% 251.83/32.54 ![X0,X1,X2,X3]: (sQ684_spl <=> (~equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,X1)|equidistant(X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2),X0,X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ684_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10936,plain,(
% 251.83/32.54 sQ684_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10930,f10933,f1153])).
% 251.83/32.54 fof(f10977,plain,(
% 251.83/32.54 ![X0,X1]: (equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1531])).
% 251.83/32.54 fof(f10982,plain,(
% 251.83/32.54 ![X0,X1]: (equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1531])).
% 251.83/32.54 fof(f10988,definition,(
% 251.83/32.54 ![X0,X1]: (sQ685_spl <=> (equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ685_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10991,plain,(
% 251.83/32.54 sQ685_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10977,f10988,f1153])).
% 251.83/32.54 fof(f10993,definition,(
% 251.83/32.54 ![X0,X1]: (sQ686_spl <=> (equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ686_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f10996,plain,(
% 251.83/32.54 sQ686_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f10982,f10993,f1153])).
% 251.83/32.54 fof(f11012,plain,(
% 251.83/32.54 colinear(u,w,y)),
% 251.83/32.54 inference(resolution,[status(thm)],[f1074,f241])).
% 251.83/32.54 fof(f11098,plain,(
% 251.83/32.54 $false|sQ304_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f4074,f161])).
% 251.83/32.54 fof(f11099,plain,(
% 251.83/32.54 sQ304_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f11098])).
% 251.83/32.54 fof(f11195,plain,(
% 251.83/32.54 ![X0,X1]: (equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1532])).
% 251.83/32.54 fof(f11200,plain,(
% 251.83/32.54 ![X0,X1]: (equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1532])).
% 251.83/32.54 fof(f11206,definition,(
% 251.83/32.54 ![X0,X1]: (sQ687_spl <=> (equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ687_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11209,plain,(
% 251.83/32.54 sQ687_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11195,f11206,f1153])).
% 251.83/32.54 fof(f11211,definition,(
% 251.83/32.54 ![X0,X1]: (sQ688_spl <=> (equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ688_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11214,plain,(
% 251.83/32.54 sQ688_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11200,f11211,f1153])).
% 251.83/32.54 fof(f11264,plain,(
% 251.83/32.54 ![X0,X1]: (equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1533])).
% 251.83/32.54 fof(f11269,plain,(
% 251.83/32.54 ![X0,X1]: (equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1533])).
% 251.83/32.54 fof(f11273,definition,(
% 251.83/32.54 ![X0,X1]: (sQ689_spl <=> (equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ689_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11276,plain,(
% 251.83/32.54 sQ689_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11264,f11273,f1153])).
% 251.83/32.54 fof(f11278,definition,(
% 251.83/32.54 ![X0,X1]: (sQ690_spl <=> (equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11281,plain,(
% 251.83/32.54 sQ690_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11269,f11278,f1153])).
% 251.83/32.54 fof(f11288,plain,(
% 251.83/32.54 ~between(u,x,x)|x=u|~sQ516_spl),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f7380,f1277])).
% 251.83/32.54 fof(f11321,definition,(
% 251.83/32.54 sQ692_spl <=> (u=reflection(x,u))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11322,plain,(
% 251.83/32.54 u=reflection(x,u)|~sQ692_spl),
% 251.83/32.54 inference(component_clause,[status(thm)],[f11321])).
% 251.83/32.54 fof(f11331,definition,(
% 251.83/32.54 sQ694_spl <=> (between(x,x,u))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11333,plain,(
% 251.83/32.54 ~between(x,x,u)|sQ694_spl),
% 251.83/32.54 inference(component_clause,[status(thm)],[f11331])).
% 251.83/32.54 fof(f11335,plain,(
% 251.83/32.54 ~sQ613_spl|sQ70_spl|~sQ516_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11288,f9530,f1359,f7379])).
% 251.83/32.54 fof(f11353,plain,(
% 251.83/32.54 $false|sQ694_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f11333,f176])).
% 251.83/32.54 fof(f11354,plain,(
% 251.83/32.54 sQ694_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f11353])).
% 251.83/32.54 fof(f11432,plain,(
% 251.83/32.54 $false|sQ296_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f3952,f965])).
% 251.83/32.54 fof(f11433,plain,(
% 251.83/32.54 sQ296_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f11432])).
% 251.83/32.54 fof(f11434,plain,(
% 251.83/32.54 $false|sQ312_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f4176,f2333])).
% 251.83/32.54 fof(f11435,plain,(
% 251.83/32.54 sQ312_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f11434])).
% 251.83/32.54 fof(f11485,plain,(
% 251.83/32.54 ![X0]: (~equidistant(v,x,v,X0)|~equidistant(u,x,u,X0)|v=u|x=X0|~sQ79_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f7696,f205])).
% 251.83/32.54 fof(f11512,plain,(
% 251.83/32.54 sQ677_spl|sQ10_spl|~sQ79_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11485,f10318,f468,f1495])).
% 251.83/32.54 fof(f11523,plain,(
% 251.83/32.54 ~between(u,x,reflection(u,x))|u=reflection(u,x)|~sQ200_spl),
% 251.83/32.54 inference(resolution,[status(thm)],[f2852,f887])).
% 251.83/32.54 fof(f11528,definition,(
% 251.83/32.54 sQ698_spl <=> (between(u,x,reflection(u,x)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ698_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11530,plain,(
% 251.83/32.54 ~between(u,x,reflection(u,x))|sQ698_spl),
% 251.83/32.54 inference(component_clause,[status(thm)],[f11528])).
% 251.83/32.54 fof(f11531,definition,(
% 251.83/32.54 sQ699_spl <=> (u=reflection(u,x))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ699_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11534,plain,(
% 251.83/32.54 ~sQ698_spl|sQ699_spl|~sQ200_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11523,f11528,f11531,f2851])).
% 251.83/32.54 fof(f11536,plain,(
% 251.83/32.54 $false|sQ698_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f11530,f156])).
% 251.83/32.54 fof(f11537,plain,(
% 251.83/32.54 sQ698_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f11536])).
% 251.83/32.54 fof(f11686,plain,(
% 251.83/32.54 ![X0,X1,X2]: (~equidistant(X0,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|~equidistant(X2,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|between(lower_dimension_point_1,X0,X2)|between(X0,X2,lower_dimension_point_1)|between(X2,lower_dimension_point_1,X0)|extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1541])).
% 251.83/32.54 fof(f11691,plain,(
% 251.83/32.54 ![X0,X1,X2]: (~equidistant(X0,extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0,reflection(lower_dimension_point_2,lower_dimension_point_1))|~equidistant(X2,extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|between(lower_dimension_point_1,X0,X2)|between(X0,X2,lower_dimension_point_1)|between(X2,lower_dimension_point_1,X0)|extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1541])).
% 251.83/32.54 fof(f11702,definition,(
% 251.83/32.54 ![X0,X1,X2]: (sQ702_spl <=> (~equidistant(X0,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|~equidistant(X2,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|between(lower_dimension_point_1,X0,X2)|between(X0,X2,lower_dimension_point_1)|between(X2,lower_dimension_point_1,X0)|extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ702_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11705,plain,(
% 251.83/32.54 sQ702_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11686,f11702,f1153])).
% 251.83/32.54 fof(f11717,definition,(
% 251.83/32.54 ![X0,X1,X2]: (sQ703_spl <=> (~equidistant(X0,extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0,reflection(lower_dimension_point_2,lower_dimension_point_1))|~equidistant(X2,extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X2,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|between(lower_dimension_point_1,X0,X2)|between(X0,X2,lower_dimension_point_1)|between(X2,lower_dimension_point_1,X0)|extension(X1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ703_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11720,plain,(
% 251.83/32.54 sQ703_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11691,f11717,f1153])).
% 251.83/32.54 fof(f11743,plain,(
% 251.83/32.54 ![X0,X1,X2,X3,X4,X5]: (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X4,X2,X5)|~equidistant(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X4,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X5)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(X0,X4,X3,X5)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1550])).
% 251.83/32.54 fof(f11748,plain,(
% 251.83/32.54 ![X0,X1,X2,X3,X4,X5]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~equidistant(X1,X4,lower_dimension_point_1,X5)|~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X4,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X5)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(X2,X4,X3,X5)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1550])).
% 251.83/32.54 fof(f11760,definition,(
% 251.83/32.54 ![X0,X1,X2,X3,X4,X5]: (sQ704_spl <=> (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X4,X2,X5)|~equidistant(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X4,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X5)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(X0,X4,X3,X5)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ704_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11763,plain,(
% 251.83/32.54 sQ704_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11743,f11760,f1153])).
% 251.83/32.54 fof(f11775,definition,(
% 251.83/32.54 ![X0,X1,X2,X3,X4,X5]: (sQ705_spl <=> (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~equidistant(X1,X4,lower_dimension_point_1,X5)|~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X4,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X5)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(X2,X4,X3,X5)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ705_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11778,plain,(
% 251.83/32.54 sQ705_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11748,f11775,f1153])).
% 251.83/32.54 fof(f11790,plain,(
% 251.83/32.54 ~between(x,u,u)|u=x|~sQ199_spl),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f2848,f1278])).
% 251.83/32.54 fof(f11819,definition,(
% 251.83/32.54 sQ706_spl <=> (u=extension(u,x,u,x))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ706_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11838,plain,(
% 251.83/32.54 ~sQ94_spl|sQ70_spl|~sQ199_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11790,f1843,f1359,f2847])).
% 251.83/32.54 fof(f11872,plain,(
% 251.83/32.54 ~equidistant(v,x,x,v)|~between(v,w,x)|between(x,u,v)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2378,f2360])).
% 251.83/32.54 fof(f11884,plain,(
% 251.83/32.54 ~equidistant(v,u,x,w)|~between(v,w,u)|between(x,u,w)),
% 251.83/32.54 inference(resolution,[status(thm)],[f2378,f115])).
% 251.83/32.54 fof(f11885,plain,(
% 251.83/32.54 ~sQ481_spl|~sQ293_spl|sQ92_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11872,f5929,f3940,f1836])).
% 251.83/32.54 fof(f11890,plain,(
% 251.83/32.54 ~sQ172_spl|~sQ1_spl|sQ248_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11884,f2528,f283,f3473])).
% 251.83/32.54 fof(f11891,plain,(
% 251.83/32.54 $false|sQ172_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f2530,f2357])).
% 251.83/32.54 fof(f11892,plain,(
% 251.83/32.54 sQ172_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f11891])).
% 251.83/32.54 fof(f11893,plain,(
% 251.83/32.54 $false|sQ501_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f6353,f161])).
% 251.83/32.54 fof(f11894,plain,(
% 251.83/32.54 sQ501_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f11893])).
% 251.83/32.54 fof(f11960,plain,(
% 251.83/32.54 ![X0,X1]: (equidistant(X0,insertion(X0,X1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1544])).
% 251.83/32.54 fof(f11964,definition,(
% 251.83/32.54 ![X0,X1]: (sQ712_spl <=> (equidistant(X0,insertion(X0,X1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ712_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f11967,plain,(
% 251.83/32.54 sQ712_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11960,f11964,f1153])).
% 251.83/32.54 fof(f11968,plain,(
% 251.83/32.54 ![X0]: (~between(lower_dimension_point_1,lower_dimension_point_2,extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2))|lower_dimension_point_1=lower_dimension_point_2|reflection(lower_dimension_point_1,lower_dimension_point_2)=extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2))),
% 251.83/32.54 inference(resolution,[status(thm)],[f1546,f943])).
% 251.83/32.54 fof(f12006,plain,(
% 251.83/32.54 ![X0,X1,X2,X3,X4,X5]: (~equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_2,X4,X2,X5)|~equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),X4,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X5)|~between(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|lower_dimension_point_2=reflection(lower_dimension_point_1,lower_dimension_point_2)|equidistant(X0,X4,X3,X5))),
% 251.83/32.54 inference(resolution,[status(thm)],[f1546,f123])).
% 251.83/32.54 fof(f12011,plain,(
% 251.83/32.54 equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|lower_dimension_point_2=lower_dimension_point_1),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1546])).
% 251.83/32.54 fof(f12013,definition,(
% 251.83/32.54 ![X0]: (sQ713_spl <=> (~between(lower_dimension_point_1,lower_dimension_point_2,extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2))|reflection(lower_dimension_point_1,lower_dimension_point_2)=extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ713_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f12016,plain,(
% 251.83/32.54 sQ713_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f11968,f12013,f1153])).
% 251.83/32.54 fof(f12017,definition,(
% 251.83/32.54 ![X0,X1,X2,X3,X4,X5]: (sQ714_spl <=> (~equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_2,X4,X2,X5)|~equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),X4,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X5)|~between(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(X0,X4,X3,X5)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ714_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f12020,plain,(
% 251.83/32.54 sQ714_spl|sQ471_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f12006,f12017,f5596])).
% 251.83/32.54 fof(f12022,definition,(
% 251.83/32.54 sQ715_spl <=> (equidistant(lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ715_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f12025,plain,(
% 251.83/32.54 sQ715_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f12011,f12022,f1153])).
% 251.83/32.54 fof(f12052,plain,(
% 251.83/32.54 ![X0,X1]: (~equidistant(v,X0,x,X1)|~equidistant(w,X0,u,X1)|~between(v,w,w)|~between(x,u,u)|equidistant(w,X0,u,X1))),
% 251.83/32.54 inference(resolution,[status(thm)],[f2380,f161])).
% 251.83/32.54 fof(f12067,plain,(
% 251.83/32.54 sQ526_spl|~sQ483_spl|~sQ94_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f12052,f7540,f5937,f1843])).
% 251.83/32.54 fof(f12171,plain,(
% 251.83/32.54 ![X0,X1]: (equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,insertion(X0,X1,lower_dimension_point_1,lower_dimension_point_2))|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1547])).
% 251.83/32.54 fof(f12177,definition,(
% 251.83/32.54 ![X0,X1]: (sQ719_spl <=> (equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0,insertion(X0,X1,lower_dimension_point_1,lower_dimension_point_2))))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ719_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f12180,plain,(
% 251.83/32.54 sQ719_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f12171,f12177,f1153])).
% 251.83/32.54 fof(f12230,plain,(
% 251.83/32.54 equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))|lower_dimension_point_2=lower_dimension_point_1),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1549])).
% 251.83/32.54 fof(f12234,definition,(
% 251.83/32.54 sQ720_spl <=> (equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ720_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f12237,plain,(
% 251.83/32.54 sQ720_spl|sQ56_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f12230,f12234,f1153])).
% 251.83/32.54 fof(f12238,plain,(
% 251.83/32.54 ![X0]: (~between(lower_dimension_point_2,lower_dimension_point_1,extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|lower_dimension_point_2=lower_dimension_point_1|reflection(lower_dimension_point_2,lower_dimension_point_1)=extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)|~sQ81_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f1552,f943])).
% 251.83/32.54 fof(f12276,plain,(
% 251.83/32.54 ![X0,X1,X2,X3,X4,X5]: (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X4,X2,X5)|~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X4,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X5)|~between(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|lower_dimension_point_1=reflection(lower_dimension_point_2,lower_dimension_point_1)|equidistant(X0,X4,X3,X5)|~sQ81_spl)),
% 251.83/32.54 inference(resolution,[status(thm)],[f1552,f123])).
% 251.83/32.54 fof(f12281,plain,(
% 251.83/32.54 equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|lower_dimension_point_2=lower_dimension_point_1|~sQ81_spl),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1140,f1552])).
% 251.83/32.54 fof(f12283,definition,(
% 251.83/32.54 ![X0]: (sQ721_spl <=> (~between(lower_dimension_point_2,lower_dimension_point_1,extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|reflection(lower_dimension_point_2,lower_dimension_point_1)=extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ721_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f12286,plain,(
% 251.83/32.54 sQ721_spl|sQ56_spl|~sQ81_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f12238,f12283,f1153,f1551])).
% 251.83/32.54 fof(f12287,definition,(
% 251.83/32.54 ![X0,X1,X2,X3,X4,X5]: (sQ722_spl <=> (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X4,X2,X5)|~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X4,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X5)|~between(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(X0,X4,X3,X5)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ722_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f12290,plain,(
% 251.83/32.54 sQ722_spl|sQ80_spl|~sQ81_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f12276,f12287,f1521,f1551])).
% 251.83/32.54 fof(f12292,definition,(
% 251.83/32.54 sQ723_spl <=> (equidistant(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ723_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f12295,plain,(
% 251.83/32.54 sQ723_spl|sQ56_spl|~sQ81_spl),
% 251.83/32.54 inference(split_clause,[status(thm)],[f12281,f12292,f1153,f1551])).
% 251.83/32.54 fof(f12307,definition,(
% 251.83/32.54 sQ725_spl <=> (equidistant(u,u,u,u))),
% 251.83/32.54 introduced(definition,[new_symbols(definition,[sQ725_spl])],[split_symbol_definition])).
% 251.83/32.54 fof(f12309,plain,(
% 251.83/32.54 ~equidistant(u,u,u,u)|sQ725_spl),
% 251.83/32.54 inference(component_clause,[status(thm)],[f12307])).
% 251.83/32.54 fof(f12311,plain,(
% 251.83/32.54 $false|sQ725_spl),
% 251.83/32.54 inference(forward_subsumption_resolution,[status(thm)],[f12309,f161])).
% 251.83/32.54 fof(f12312,plain,(
% 251.83/32.54 sQ725_spl),
% 251.83/32.54 inference(contradiction_clause,[status(thm)],[f12311])).
% 251.83/32.54 fof(f12346,plain,(
% 251.83/32.54 extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,v,w)=insertion(lower_dimension_point_1,lower_dimension_point_2,x,u)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl),
% 251.83/32.54 inference(paramodulation,[status(thm)],[f1151,f2382])).
% 251.83/32.54 fof(f12392,definition,(
% 251.83/32.54 sQ730_spl <=> (extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,v,w)=insertion(lower_dimension_point_1,lower_dimension_point_2,x,u))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ730_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f12395,plain,(
% 251.83/32.55 sQ730_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f12346,f12392,f1521,f1150])).
% 251.83/32.55 fof(f12689,plain,(
% 251.83/32.55 ![X0,X1,X2]: (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1),reflection(lower_dimension_point_2,lower_dimension_point_1),X2)|~equidistant(lower_dimension_point_1,extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1),lower_dimension_point_1,X2)|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)=X2|~sQ55_spl)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1151,f1582])).
% 251.83/32.55 fof(f12690,plain,(
% 251.83/32.55 ![X0,X1,X2]: (~equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1),reflection(lower_dimension_point_1,lower_dimension_point_2),X2)|~equidistant(lower_dimension_point_2,extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1),lower_dimension_point_2,X2)|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2|extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)=X2)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f612,f1582])).
% 251.83/32.55 fof(f12705,definition,(
% 251.83/32.55 sQ735_spl <=> (equidistant(lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ735_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f12707,plain,(
% 251.83/32.55 ~equidistant(lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))|sQ735_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f12705])).
% 251.83/32.55 fof(f12715,definition,(
% 251.83/32.55 sQ738_spl <=> (equidistant(lower_dimension_point_2,extension(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ738_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f12717,plain,(
% 251.83/32.55 ~equidistant(lower_dimension_point_2,extension(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,reflection(lower_dimension_point_1,lower_dimension_point_2))|sQ738_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f12715])).
% 251.83/32.55 fof(f12725,definition,(
% 251.83/32.55 ![X0,X1,X2]: (sQ741_spl <=> (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),insertion(lower_dimension_point_1,lower_dimension_point_2,X0,X1),reflection(lower_dimension_point_2,lower_dimension_point_1),X2)|~equidistant(lower_dimension_point_1,extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1),lower_dimension_point_1,X2)|extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)=X2))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ741_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f12728,plain,(
% 251.83/32.55 sQ741_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f12689,f12725,f1521,f1150])).
% 251.83/32.55 fof(f12729,definition,(
% 251.83/32.55 ![X0,X1,X2]: (sQ742_spl <=> (~equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),insertion(lower_dimension_point_2,lower_dimension_point_1,X0,X1),reflection(lower_dimension_point_1,lower_dimension_point_2),X2)|~equidistant(lower_dimension_point_2,extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1),lower_dimension_point_2,X2)|extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)=X2))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ742_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f12732,plain,(
% 251.83/32.55 sQ742_spl|sQ471_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f12690,f12729,f5596])).
% 251.83/32.55 fof(f12755,plain,(
% 251.83/32.55 $false|sQ738_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f12717,f1549])).
% 251.83/32.55 fof(f12756,plain,(
% 251.83/32.55 sQ738_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f12755])).
% 251.83/32.55 fof(f12757,plain,(
% 251.83/32.55 $false|~sQ82_spl|sQ735_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f12707,f1556])).
% 251.83/32.55 fof(f12758,plain,(
% 251.83/32.55 ~sQ82_spl|sQ735_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f12757])).
% 251.83/32.55 fof(f12759,plain,(
% 251.83/32.55 ![X0]: (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|lower_dimension_point_1=reflection(lower_dimension_point_2,lower_dimension_point_1)|reflection(lower_dimension_point_2,lower_dimension_point_1)=extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)|~sQ81_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1584,f1552])).
% 251.83/32.55 fof(f12760,plain,(
% 251.83/32.55 ![X0]: (~equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_1,lower_dimension_point_2),extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2))|lower_dimension_point_2=reflection(lower_dimension_point_1,lower_dimension_point_2)|reflection(lower_dimension_point_1,lower_dimension_point_2)=extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2))),
% 251.83/32.55 inference(resolution,[status(thm)],[f1584,f1546])).
% 251.83/32.55 fof(f12782,definition,(
% 251.83/32.55 ![X0]: (sQ743_spl <=> (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),reflection(lower_dimension_point_2,lower_dimension_point_1),extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|reflection(lower_dimension_point_2,lower_dimension_point_1)=extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ743_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f12785,plain,(
% 251.83/32.55 sQ743_spl|sQ80_spl|~sQ81_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f12759,f12782,f1521,f1551])).
% 251.83/32.55 fof(f12786,definition,(
% 251.83/32.55 ![X0]: (sQ744_spl <=> (~equidistant(reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_1,lower_dimension_point_2),extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2))|reflection(lower_dimension_point_1,lower_dimension_point_2)=extension(X0,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ744_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f12789,plain,(
% 251.83/32.55 sQ744_spl|sQ471_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f12760,f12786,f5596])).
% 251.83/32.55 fof(f13390,plain,(
% 251.83/32.55 ![X0,X1]: (~colinear(v,w,X0)|~colinear(v,w,X1)|colinear(x,X0,X1)|v=w|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7933,f262])).
% 251.83/32.55 fof(f13391,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,w,x)|colinear(X0,v,w)|x=w|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7933,f260])).
% 251.83/32.55 fof(f13392,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,w,x)|colinear(X0,v,x)|x=w|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7933,f258])).
% 251.83/32.55 fof(f13393,plain,(
% 251.83/32.55 ![X0]: (~colinear(v,w,X0)|colinear(w,x,X0)|v=w|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7933,f256])).
% 251.83/32.55 fof(f13394,plain,(
% 251.83/32.55 ![X0]: (~colinear(v,w,X0)|colinear(v,x,X0)|v=w|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7933,f254])).
% 251.83/32.55 fof(f13397,plain,(
% 251.83/32.55 colinear(v,x,w)|~sQ321_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f7933,f242])).
% 251.83/32.55 fof(f13401,plain,(
% 251.83/32.55 sQ561_spl|sQ7_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13390,f8289,f457,f4264])).
% 251.83/32.55 fof(f13402,plain,(
% 251.83/32.55 sQ562_spl|sQ153_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13391,f8293,f2442,f4264])).
% 251.83/32.55 fof(f13403,plain,(
% 251.83/32.55 sQ563_spl|sQ153_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13392,f8297,f2442,f4264])).
% 251.83/32.55 fof(f13404,plain,(
% 251.83/32.55 sQ564_spl|sQ7_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13393,f8301,f457,f4264])).
% 251.83/32.55 fof(f13405,plain,(
% 251.83/32.55 sQ565_spl|sQ7_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13394,f8305,f457,f4264])).
% 251.83/32.55 fof(f13406,plain,(
% 251.83/32.55 sQ266_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13397,f3722,f4264])).
% 251.83/32.55 fof(f13463,plain,(
% 251.83/32.55 ~between(u,y,reflection(u,y))|u=reflection(u,y)|~sQ213_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f2999,f887])).
% 251.83/32.55 fof(f13468,definition,(
% 251.83/32.55 sQ806_spl <=> (between(u,y,reflection(u,y)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ806_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f13470,plain,(
% 251.83/32.55 ~between(u,y,reflection(u,y))|sQ806_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f13468])).
% 251.83/32.55 fof(f13471,definition,(
% 251.83/32.55 sQ807_spl <=> (u=reflection(u,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ807_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f13474,plain,(
% 251.83/32.55 ~sQ806_spl|sQ807_spl|~sQ213_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13463,f13468,f13471,f2998])).
% 251.83/32.55 fof(f13479,plain,(
% 251.83/32.55 $false|sQ806_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f13470,f156])).
% 251.83/32.55 fof(f13480,plain,(
% 251.83/32.55 sQ806_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f13479])).
% 251.83/32.55 fof(f13482,plain,(
% 251.83/32.55 ![X0,X1]: (~colinear(x,v,X0)|~colinear(x,v,X1)|colinear(w,X0,X1)|x=v|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7935,f262])).
% 251.83/32.55 fof(f13483,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,v,w)|colinear(X0,x,v)|w=v|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7935,f260])).
% 251.83/32.55 fof(f13484,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,v,w)|colinear(X0,x,w)|w=v|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7935,f258])).
% 251.83/32.55 fof(f13485,plain,(
% 251.83/32.55 ![X0]: (~colinear(x,v,X0)|colinear(v,w,X0)|x=v|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7935,f256])).
% 251.83/32.55 fof(f13486,plain,(
% 251.83/32.55 ![X0]: (~colinear(x,v,X0)|colinear(x,w,X0)|x=v|~sQ321_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f7935,f254])).
% 251.83/32.55 fof(f13493,plain,(
% 251.83/32.55 sQ551_spl|sQ182_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13482,f8181,f2705,f4264])).
% 251.83/32.55 fof(f13494,plain,(
% 251.83/32.55 sQ552_spl|sQ7_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13483,f8185,f457,f4264])).
% 251.83/32.55 fof(f13495,plain,(
% 251.83/32.55 sQ553_spl|sQ7_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13484,f8189,f457,f4264])).
% 251.83/32.55 fof(f13496,plain,(
% 251.83/32.55 sQ554_spl|sQ182_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13485,f8193,f2705,f4264])).
% 251.83/32.55 fof(f13497,plain,(
% 251.83/32.55 sQ555_spl|sQ182_spl|~sQ321_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13486,f8197,f2705,f4264])).
% 251.83/32.55 fof(f13538,plain,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X4,X2,X5)|~equidistant(X0,X4,X3,X5)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X4,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X5)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1140,f1636])).
% 251.83/32.55 fof(f13543,plain,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~equidistant(X1,X4,lower_dimension_point_1,X5)|~equidistant(X2,X4,X3,X5)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X4,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X5)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1140,f1636])).
% 251.83/32.55 fof(f13556,definition,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (sQ809_spl <=> (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X4,X2,X5)|~equidistant(X0,X4,X3,X5)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|~between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X4,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X5)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ809_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f13559,plain,(
% 251.83/32.55 sQ809_spl|sQ56_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13538,f13556,f1153])).
% 251.83/32.55 fof(f13571,definition,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (sQ810_spl <=> (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~equidistant(X1,X4,lower_dimension_point_1,X5)|~equidistant(X2,X4,X3,X5)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)|equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X4,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X5)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ810_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f13574,plain,(
% 251.83/32.55 sQ810_spl|sQ56_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13543,f13571,f1153])).
% 251.83/32.55 fof(f13660,plain,(
% 251.83/32.55 ~between(y,u,u)|u=y|~sQ212_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f2995,f1278])).
% 251.83/32.55 fof(f13689,definition,(
% 251.83/32.55 sQ811_spl <=> (u=extension(u,y,u,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ811_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f13719,plain,(
% 251.83/32.55 ~sQ211_spl|sQ15_spl|~sQ212_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13660,f2990,f517,f2994])).
% 251.83/32.55 fof(f13890,plain,(
% 251.83/32.55 between(u,y,u)|~sQ208_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f2978,f172])).
% 251.83/32.55 fof(f13986,plain,(
% 251.83/32.55 ![X0,X1,X2,X3]: (extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)=insertion(lower_dimension_point_1,lower_dimension_point_2,X2,insertion(X2,X3,X0,X1))|reflection(lower_dimension_point_2,lower_dimension_point_1)=lower_dimension_point_1|~sQ55_spl)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1151,f1649])).
% 251.83/32.55 fof(f13987,plain,(
% 251.83/32.55 ![X0,X1,X2,X3]: (extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)=insertion(lower_dimension_point_2,lower_dimension_point_1,X2,insertion(X2,X3,X0,X1))|reflection(lower_dimension_point_1,lower_dimension_point_2)=lower_dimension_point_2)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f612,f1649])).
% 251.83/32.55 fof(f14041,definition,(
% 251.83/32.55 ![X0,X1,X2,X3]: (sQ818_spl <=> (extension(reflection(lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X0,X1)=insertion(lower_dimension_point_1,lower_dimension_point_2,X2,insertion(X2,X3,X0,X1))))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ818_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f14044,plain,(
% 251.83/32.55 sQ818_spl|sQ80_spl|~sQ55_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13986,f14041,f1521,f1150])).
% 251.83/32.55 fof(f14045,definition,(
% 251.83/32.55 ![X0,X1,X2,X3]: (sQ819_spl <=> (extension(reflection(lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X0,X1)=insertion(lower_dimension_point_2,lower_dimension_point_1,X2,insertion(X2,X3,X0,X1))))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ819_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f14048,plain,(
% 251.83/32.55 sQ819_spl|sQ471_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f13987,f14045,f5596])).
% 251.83/32.55 fof(f14106,definition,(
% 251.83/32.55 sQ822_spl <=> (between(y,u,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ822_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f14107,plain,(
% 251.83/32.55 between(y,u,y)|~sQ822_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f14106])).
% 251.83/32.55 fof(f14220,definition,(
% 251.83/32.55 sQ826_spl <=> (between(u,y,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ826_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f14643,plain,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (~equidistant(u,X0,insertion(X1,X2,v,w),X3)|~equidistant(x,X4,X1,X5)|~equidistant(u,X4,insertion(X1,X2,x,u),X5)|~between(x,u,X0)|~between(X1,insertion(X1,X2,x,u),X3)|x=u|equidistant(X0,X4,X3,X5))),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f2379,f1663])).
% 251.83/32.55 fof(f14644,plain,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (~equidistant(x,X0,insertion(X1,X2,u,v),X3)|~equidistant(w,X4,X1,X5)|~equidistant(x,X4,insertion(X1,X2,w,x),X5)|~between(w,x,X0)|~between(X1,insertion(X1,X2,w,x),X3)|w=x|equidistant(X0,X4,X3,X5))),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f2348,f1663])).
% 251.83/32.55 fof(f14645,plain,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (~equidistant(x,X0,insertion(X1,X2,u,w),X3)|~equidistant(v,X4,X1,X5)|~equidistant(x,X4,insertion(X1,X2,v,x),X5)|~between(v,x,X0)|~between(X1,insertion(X1,X2,v,x),X3)|v=x|equidistant(X0,X4,X3,X5))),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f2322,f1663])).
% 251.83/32.55 fof(f14652,definition,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (sQ827_spl <=> (~equidistant(u,X0,insertion(X1,X2,v,w),X3)|~equidistant(x,X4,X1,X5)|~equidistant(u,X4,insertion(X1,X2,x,u),X5)|~between(x,u,X0)|~between(X1,insertion(X1,X2,x,u),X3)|equidistant(X0,X4,X3,X5)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ827_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f14655,plain,(
% 251.83/32.55 sQ827_spl|sQ70_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f14643,f14652,f1359])).
% 251.83/32.55 fof(f14656,definition,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (sQ828_spl <=> (~equidistant(x,X0,insertion(X1,X2,u,v),X3)|~equidistant(w,X4,X1,X5)|~equidistant(x,X4,insertion(X1,X2,w,x),X5)|~between(w,x,X0)|~between(X1,insertion(X1,X2,w,x),X3)|equidistant(X0,X4,X3,X5)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ828_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f14659,plain,(
% 251.83/32.55 sQ828_spl|sQ153_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f14644,f14656,f2442])).
% 251.83/32.55 fof(f14660,definition,(
% 251.83/32.55 ![X0,X1,X2,X3,X4,X5]: (sQ829_spl <=> (~equidistant(x,X0,insertion(X1,X2,u,w),X3)|~equidistant(v,X4,X1,X5)|~equidistant(x,X4,insertion(X1,X2,v,x),X5)|~between(v,x,X0)|~between(X1,insertion(X1,X2,v,x),X3)|equidistant(X0,X4,X3,X5)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ829_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f14663,plain,(
% 251.83/32.55 sQ829_spl|sQ182_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f14645,f14660,f2705])).
% 251.83/32.55 fof(f14927,definition,(
% 251.83/32.55 sQ836_spl <=> (between(v,y,reflection(v,y)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ836_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f14929,plain,(
% 251.83/32.55 ~between(v,y,reflection(v,y))|sQ836_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f14927])).
% 251.83/32.55 fof(f14935,plain,(
% 251.83/32.55 $false|sQ836_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f14929,f156])).
% 251.83/32.55 fof(f14936,plain,(
% 251.83/32.55 sQ836_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f14935])).
% 251.83/32.55 fof(f15392,definition,(
% 251.83/32.55 sQ851_spl <=> (between(v,y,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ851_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f15431,definition,(
% 251.83/32.55 sQ857_spl <=> (between(w,u,reflection(w,u)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ857_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f15433,plain,(
% 251.83/32.55 ~between(w,u,reflection(w,u))|sQ857_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f15431])).
% 251.83/32.55 fof(f15438,definition,(
% 251.83/32.55 sQ859_spl <=> (between(w,u,u))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ859_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f15440,plain,(
% 251.83/32.55 ~between(w,u,u)|sQ859_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f15438])).
% 251.83/32.55 fof(f15446,plain,(
% 251.83/32.55 $false|sQ859_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f15440,f172])).
% 251.83/32.55 fof(f15447,plain,(
% 251.83/32.55 sQ859_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f15446])).
% 251.83/32.55 fof(f15448,plain,(
% 251.83/32.55 $false|sQ857_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f15433,f156])).
% 251.83/32.55 fof(f15449,plain,(
% 251.83/32.55 sQ857_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f15448])).
% 251.83/32.55 fof(f15496,plain,(
% 251.83/32.55 ![X0,X1,X2,X3]: (insertion(X0,X1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))=insertion(X0,X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1140,f1802])).
% 251.83/32.55 fof(f15555,definition,(
% 251.83/32.55 ![X0,X1,X2,X3]: (sQ861_spl <=> (insertion(X0,X1,lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1))=insertion(X0,X1,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ861_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f15558,plain,(
% 251.83/32.55 sQ861_spl|sQ56_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f15496,f15555,f1153])).
% 251.83/32.55 fof(f15959,plain,(
% 251.83/32.55 ![X0,X1,X2,X3]: (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X0,X2,X3)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1140,f1813])).
% 251.83/32.55 fof(f15964,plain,(
% 251.83/32.55 ![X0,X1,X2,X3]: (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~equidistant(X1,X2,lower_dimension_point_1,X3)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1140,f1813])).
% 251.83/32.55 fof(f15974,definition,(
% 251.83/32.55 ![X0,X1,X2,X3]: (sQ876_spl <=> (~equidistant(reflection(lower_dimension_point_2,lower_dimension_point_1),X0,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)|~equidistant(lower_dimension_point_1,X0,X2,X3)|~between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X0)|between(X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X3)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ876_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f15977,plain,(
% 251.83/32.55 sQ876_spl|sQ56_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f15959,f15974,f1153])).
% 251.83/32.55 fof(f15986,definition,(
% 251.83/32.55 ![X0,X1,X2,X3]: (sQ877_spl <=> (~equidistant(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2,reflection(lower_dimension_point_2,lower_dimension_point_1),X3)|~equidistant(X1,X2,lower_dimension_point_1,X3)|~between(X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X2)|between(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X3)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ877_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f15989,plain,(
% 251.83/32.55 sQ877_spl|sQ56_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f15964,f15986,f1153])).
% 251.83/32.55 fof(f16128,plain,(
% 251.83/32.55 ~between(w,v,u)|u=v|~sQ2_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f287,f180])).
% 251.83/32.55 fof(f16165,plain,(
% 251.83/32.55 ~sQ3_spl|sQ10_spl|~sQ2_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16128,f306,f468,f286])).
% 251.83/32.55 fof(f16231,plain,(
% 251.83/32.55 ~equidistant(u,w,x,v)|~between(u,x,w)|between(x,u,v)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f2355])).
% 251.83/32.55 fof(f16232,plain,(
% 251.83/32.55 ~equidistant(v,w,x,u)|~between(v,x,w)|between(x,v,u)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f2354])).
% 251.83/32.55 fof(f16234,plain,(
% 251.83/32.55 ~equidistant(w,v,x,u)|~between(w,x,v)|between(x,w,u)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f2328])).
% 251.83/32.55 fof(f16236,plain,(
% 251.83/32.55 ~equidistant(v,u,x,w)|~between(v,x,u)|between(x,v,w)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f1239])).
% 251.83/32.55 fof(f16239,plain,(
% 251.83/32.55 ~equidistant(v,u,w,x)|~between(v,w,u)|between(w,v,x)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f2333])).
% 251.83/32.55 fof(f16243,plain,(
% 251.83/32.55 ~equidistant(w,u,v,x)|~between(w,v,u)|between(v,w,x)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f2359])).
% 251.83/32.55 fof(f16249,plain,(
% 251.83/32.55 ~equidistant(v,x,u,w)|~between(v,u,x)|between(u,v,w)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f2386])).
% 251.83/32.55 fof(f16251,plain,(
% 251.83/32.55 ~equidistant(x,v,u,w)|~between(x,u,v)|between(u,x,w)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f2358])).
% 251.83/32.55 fof(f16252,plain,(
% 251.83/32.55 ~equidistant(w,v,u,x)|~between(w,u,v)|between(u,w,x)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f263])).
% 251.83/32.55 fof(f16253,plain,(
% 251.83/32.55 ~equidistant(x,w,u,v)|~between(x,u,w)|between(u,x,v)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f2332])).
% 251.83/32.55 fof(f16254,plain,(
% 251.83/32.55 ~equidistant(v,w,u,x)|~between(v,u,w)|between(u,v,x)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1818,f265])).
% 251.83/32.55 fof(f16287,plain,(
% 251.83/32.55 ~sQ289_spl|~sQ288_spl|sQ92_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16231,f3906,f3902,f1836])).
% 251.83/32.55 fof(f16288,plain,(
% 251.83/32.55 ~sQ169_spl|~sQ159_spl|sQ269_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16232,f2518,f2466,f3779])).
% 251.83/32.55 fof(f16290,plain,(
% 251.83/32.55 ~sQ374_spl|~sQ261_spl|sQ373_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16234,f4670,f3601,f4666])).
% 251.83/32.55 fof(f16292,plain,(
% 251.83/32.55 ~sQ172_spl|~sQ69_spl|sQ272_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16236,f2528,f1356,f3791])).
% 251.83/32.55 fof(f16295,plain,(
% 251.83/32.55 ~sQ432_spl|~sQ1_spl|sQ160_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16239,f5198,f283,f2470])).
% 251.83/32.55 fof(f16299,plain,(
% 251.83/32.55 ~sQ312_spl|~sQ3_spl|sQ293_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16243,f4174,f306,f3940])).
% 251.83/32.55 fof(f16305,plain,(
% 251.83/32.55 ~sQ491_spl|~sQ441_spl|sQ0_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16249,f6136,f5291,f280])).
% 251.83/32.55 fof(f16307,plain,(
% 251.83/32.55 ~sQ309_spl|~sQ92_spl|sQ288_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16251,f4111,f1836,f3902])).
% 251.83/32.55 fof(f16308,plain,(
% 251.83/32.55 ~sQ147_spl|~sQ2_spl|sQ247_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16252,f2364,f286,f3469])).
% 251.83/32.55 fof(f16309,plain,(
% 251.83/32.55 ~sQ424_spl|~sQ248_spl|sQ398_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16253,f5110,f3473,f4855])).
% 251.83/32.55 fof(f16310,plain,(
% 251.83/32.55 ~sQ145_spl|~sQ4_spl|sQ67_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16254,f2338,f309,f1335])).
% 251.83/32.55 fof(f16315,plain,(
% 251.83/32.55 $false|sQ342_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f4422,f2386])).
% 251.83/32.55 fof(f16316,plain,(
% 251.83/32.55 sQ342_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16315])).
% 251.83/32.55 fof(f16317,plain,(
% 251.83/32.55 $false|sQ289_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f3908,f2332])).
% 251.83/32.55 fof(f16318,plain,(
% 251.83/32.55 sQ289_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16317])).
% 251.83/32.55 fof(f16319,plain,(
% 251.83/32.55 $false|sQ147_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f2366,f749])).
% 251.83/32.55 fof(f16320,plain,(
% 251.83/32.55 sQ147_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16319])).
% 251.83/32.55 fof(f16321,plain,(
% 251.83/32.55 $false|sQ145_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f2340,f750])).
% 251.83/32.55 fof(f16322,plain,(
% 251.83/32.55 sQ145_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16321])).
% 251.83/32.55 fof(f16376,definition,(
% 251.83/32.55 sQ897_spl <=> (w=reflection(w,v))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ897_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f16377,plain,(
% 251.83/32.55 w=reflection(w,v)|~sQ897_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f16376])).
% 251.83/32.55 fof(f16383,plain,(
% 251.83/32.55 ![X0,X1]: (u=y|between(u,extension(u,y,X0,X1),w)|between(u,w,extension(u,y,X0,X1)))),
% 251.83/32.55 inference(resolution,[status(thm)],[f1823,f266])).
% 251.83/32.55 fof(f16400,definition,(
% 251.83/32.55 ![X0,X1]: (sQ900_spl <=> (between(u,extension(u,y,X0,X1),w)|between(u,w,extension(u,y,X0,X1))))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ900_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f16403,plain,(
% 251.83/32.55 sQ15_spl|sQ900_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16383,f517,f16400])).
% 251.83/32.55 fof(f16457,plain,(
% 251.83/32.55 ![X0,X1]: (u=y|between(y,extension(u,y,X0,X1),w)|between(y,w,extension(u,y,X0,X1)))),
% 251.83/32.55 inference(resolution,[status(thm)],[f1901,f266])).
% 251.83/32.55 fof(f16474,definition,(
% 251.83/32.55 ![X0,X1]: (sQ912_spl <=> (between(y,extension(u,y,X0,X1),w)|between(y,w,extension(u,y,X0,X1))))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ912_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f16477,plain,(
% 251.83/32.55 sQ15_spl|sQ912_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16457,f517,f16474])).
% 251.83/32.55 fof(f16527,plain,(
% 251.83/32.55 x=reflection(u,u)|~sQ692_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f11322,f171])).
% 251.83/32.55 fof(f16583,plain,(
% 251.83/32.55 x=u|~sQ692_spl),
% 251.83/32.55 inference(forward_demodulation,[status(thm)],[f272,f16527])).
% 251.83/32.55 fof(f16584,plain,(
% 251.83/32.55 $false|~sQ692_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f16583,f269])).
% 251.83/32.55 fof(f16585,plain,(
% 251.83/32.55 ~sQ692_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16584])).
% 251.83/32.55 fof(f16642,plain,(
% 251.83/32.55 ~between(x,w,u)|u=w|~sQ248_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f3474,f180])).
% 251.83/32.55 fof(f16643,plain,(
% 251.83/32.55 ~between(u,x,w)|x=u|~sQ248_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f3474,f178])).
% 251.83/32.55 fof(f16701,plain,(
% 251.83/32.55 ~sQ373_spl|sQ12_spl|~sQ248_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16642,f4666,f475,f3473])).
% 251.83/32.55 fof(f16702,plain,(
% 251.83/32.55 ~sQ288_spl|sQ70_spl|~sQ248_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f16643,f3902,f1359,f3473])).
% 251.83/32.55 fof(f16728,plain,(
% 251.83/32.55 $false|sQ481_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f5931,f115])).
% 251.83/32.55 fof(f16729,plain,(
% 251.83/32.55 sQ481_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16728])).
% 251.83/32.55 fof(f16730,plain,(
% 251.83/32.55 $false|sQ422_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f5084,f2387])).
% 251.83/32.55 fof(f16731,plain,(
% 251.83/32.55 sQ422_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16730])).
% 251.83/32.55 fof(f16732,plain,(
% 251.83/32.55 $false|sQ309_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f4113,f2329])).
% 251.83/32.55 fof(f16733,plain,(
% 251.83/32.55 sQ309_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16732])).
% 251.83/32.55 fof(f16734,plain,(
% 251.83/32.55 $false|sQ374_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f4672,f1238])).
% 251.83/32.55 fof(f16735,plain,(
% 251.83/32.55 sQ374_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16734])).
% 251.83/32.55 fof(f16956,plain,(
% 251.83/32.55 $false|sQ306_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f4082,f1239])).
% 251.83/32.55 fof(f16957,plain,(
% 251.83/32.55 sQ306_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f16956])).
% 251.83/32.55 fof(f17059,definition,(
% 251.83/32.55 sQ942_spl <=> (x=reflection(u,x))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ942_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f17060,plain,(
% 251.83/32.55 x=reflection(u,x)|~sQ942_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f17059])).
% 251.83/32.55 fof(f17108,plain,(
% 251.83/32.55 ~equidistant(u,x,u,reflection(x,v))|x=reflection(x,v)|~sQ677_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f10319,f887])).
% 251.83/32.55 fof(f17113,plain,(
% 251.83/32.55 ~equidistant(u,x,u,x)|x=x|~sQ677_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f10319,f143])).
% 251.83/32.55 fof(f17114,definition,(
% 251.83/32.55 sQ948_spl <=> (equidistant(u,x,u,reflection(x,v)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ948_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f17117,definition,(
% 251.83/32.55 sQ949_spl <=> (x=reflection(x,v))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ949_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f17118,plain,(
% 251.83/32.55 x=reflection(x,v)|~sQ949_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f17117])).
% 251.83/32.55 fof(f17120,plain,(
% 251.83/32.55 ~sQ948_spl|sQ949_spl|~sQ677_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17108,f17114,f17117,f10318])).
% 251.83/32.55 fof(f17123,definition,(
% 251.83/32.55 sQ950_spl <=> (equidistant(u,x,u,x))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ950_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f17125,plain,(
% 251.83/32.55 ~equidistant(u,x,u,x)|sQ950_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f17123])).
% 251.83/32.55 fof(f17126,plain,(
% 251.83/32.55 ~sQ950_spl|sQ517_spl|~sQ677_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17113,f17123,f7383,f10318])).
% 251.83/32.55 fof(f17127,plain,(
% 251.83/32.55 $false|sQ950_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f17125,f143])).
% 251.83/32.55 fof(f17128,plain,(
% 251.83/32.55 sQ950_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f17127])).
% 251.83/32.55 fof(f17154,plain,(
% 251.83/32.55 ![X0]: (~between(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1140,f2027])).
% 251.83/32.55 fof(f17159,plain,(
% 251.83/32.55 ![X0]: (~between(lower_dimension_point_1,extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_2,lower_dimension_point_1))|extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)|lower_dimension_point_2=lower_dimension_point_1)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1140,f2027])).
% 251.83/32.55 fof(f17168,definition,(
% 251.83/32.55 ![X0]: (sQ951_spl <=> (~between(lower_dimension_point_1,reflection(lower_dimension_point_2,lower_dimension_point_1),extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2))|extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ951_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f17171,plain,(
% 251.83/32.55 sQ951_spl|sQ56_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17154,f17168,f1153])).
% 251.83/32.55 fof(f17180,definition,(
% 251.83/32.55 ![X0]: (sQ952_spl <=> (~between(lower_dimension_point_1,extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),reflection(lower_dimension_point_2,lower_dimension_point_1))|extension(X0,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)=extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ952_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f17183,plain,(
% 251.83/32.55 sQ952_spl|sQ56_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17159,f17180,f1153])).
% 251.83/32.55 fof(f17267,plain,(
% 251.83/32.55 ~u=extension(u,x,v,w)|u=x|sQ199_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f2382,f2849])).
% 251.83/32.55 fof(f17268,plain,(
% 251.83/32.55 ~u=extension(u,x,u,x)|u=x|sQ199_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1138,f2849])).
% 251.83/32.55 fof(f17270,plain,(
% 251.83/32.55 ~u=reflection(u,x)|u=x|sQ199_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1140,f2849])).
% 251.83/32.55 fof(f17271,definition,(
% 251.83/32.55 sQ953_spl <=> (u=extension(u,x,v,w))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ953_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f17274,plain,(
% 251.83/32.55 ~sQ953_spl|sQ70_spl|sQ199_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17267,f17271,f1359,f2847])).
% 251.83/32.55 fof(f17275,plain,(
% 251.83/32.55 ~sQ706_spl|sQ70_spl|sQ199_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17268,f11819,f1359,f2847])).
% 251.83/32.55 fof(f17277,plain,(
% 251.83/32.55 ~sQ699_spl|sQ70_spl|sQ199_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17270,f11531,f1359,f2847])).
% 251.83/32.55 fof(f17661,plain,(
% 251.83/32.55 ~u=extension(u,y,u,y)|u=y|sQ212_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1138,f2996])).
% 251.83/32.55 fof(f17663,plain,(
% 251.83/32.55 ~u=reflection(u,y)|u=y|sQ212_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1140,f2996])).
% 251.83/32.55 fof(f17664,plain,(
% 251.83/32.55 ~sQ811_spl|sQ15_spl|sQ212_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17661,f13689,f517,f2994])).
% 251.83/32.55 fof(f17666,plain,(
% 251.83/32.55 ~sQ807_spl|sQ15_spl|sQ212_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17663,f13471,f517,f2994])).
% 251.83/32.55 fof(f17999,plain,(
% 251.83/32.55 u=y|~sQ208_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f13890,f124])).
% 251.83/32.55 fof(f18041,plain,(
% 251.83/32.55 sQ15_spl|~sQ208_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f17999,f517,f2977])).
% 251.83/32.55 fof(f18278,plain,(
% 251.83/32.55 y=u|~sQ822_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f14107,f124])).
% 251.83/32.55 fof(f18359,plain,(
% 251.83/32.55 sQ15_spl|~sQ822_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f18278,f517,f14106])).
% 251.83/32.55 fof(f18374,plain,(
% 251.83/32.55 w=extension(u,y,w,y)|u=y|~sQ45_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1138,f1081])).
% 251.83/32.55 fof(f18388,plain,(
% 251.83/32.55 ![X0]: (~equidistant(u,w,u,X0)|~equidistant(y,extension(u,y,y,w),y,X0)|u=y|extension(u,y,y,w)=X0|~sQ45_spl)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1081,f1582])).
% 251.83/32.55 fof(f18401,plain,(
% 251.83/32.55 ![X0]: (~between(u,y,X0)|~equidistant(y,w,y,X0)|u=y|extension(u,y,y,w)=X0|~sQ45_spl)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f1081,f944])).
% 251.83/32.55 fof(f18424,definition,(
% 251.83/32.55 sQ1002_spl <=> (w=extension(u,y,w,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1002_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f18427,plain,(
% 251.83/32.55 sQ1002_spl|sQ15_spl|~sQ45_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f18374,f18424,f517,f1080])).
% 251.83/32.55 fof(f18429,definition,(
% 251.83/32.55 sQ1003_spl <=> (between(y,w,w))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1003_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f18445,definition,(
% 251.83/32.55 ![X0]: (sQ1005_spl <=> (~equidistant(u,w,u,X0)|~equidistant(y,extension(u,y,y,w),y,X0)|extension(u,y,y,w)=X0))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1005_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f18448,plain,(
% 251.83/32.55 sQ1005_spl|sQ15_spl|~sQ45_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f18388,f18445,f517,f1080])).
% 251.83/32.55 fof(f18465,definition,(
% 251.83/32.55 ![X0]: (sQ1007_spl <=> (~between(u,y,X0)|~equidistant(y,w,y,X0)|extension(u,y,y,w)=X0))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1007_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f18468,plain,(
% 251.83/32.55 sQ1007_spl|sQ15_spl|~sQ45_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f18401,f18465,f517,f1080])).
% 251.83/32.55 fof(f18493,plain,(
% 251.83/32.55 ![X0]: (~between(v,X0,x)|between(v,y,x))),
% 251.83/32.55 inference(resolution,[status(thm)],[f2110,f176])).
% 251.83/32.55 fof(f18495,definition,(
% 251.83/32.55 ![X0]: (sQ1010_spl <=> (~between(v,X0,x)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1010_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f18496,plain,(
% 251.83/32.55 ![X0]: (~between(v,X0,x)|~sQ1010_spl)),
% 251.83/32.55 inference(component_clause,[status(thm)],[f18495])).
% 251.83/32.55 fof(f18498,plain,(
% 251.83/32.55 sQ1010_spl|sQ387_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f18493,f18495,f4744])).
% 251.83/32.55 fof(f18606,plain,(
% 251.83/32.55 $false|~sQ1010_spl),
% 251.83/32.55 inference(backward_subsumption_resolution,[status(thm)],[f267,f18496])).
% 251.83/32.55 fof(f18609,plain,(
% 251.83/32.55 ~sQ1010_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f18606])).
% 251.83/32.55 fof(f18690,plain,(
% 251.83/32.55 between(y,y,x)|between(y,y,x)),
% 251.83/32.55 inference(resolution,[status(thm)],[f2111,f267])).
% 251.83/32.55 fof(f18693,definition,(
% 251.83/32.55 sQ1018_spl <=> (between(y,y,x))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1018_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f18696,plain,(
% 251.83/32.55 sQ1018_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f18690,f18693])).
% 251.83/32.55 fof(f18705,plain,(
% 251.83/32.55 between(v,y,y)|between(v,y,y)),
% 251.83/32.55 inference(resolution,[status(thm)],[f2112,f267])).
% 251.83/32.55 fof(f18708,plain,(
% 251.83/32.55 sQ851_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f18705,f15392])).
% 251.83/32.55 fof(f18772,plain,(
% 251.83/32.55 ~between(v,y,y)|y=insertion(v,x,v,y)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f2116,f2029])).
% 251.83/32.55 fof(f18791,definition,(
% 251.83/32.55 sQ1022_spl <=> (y=insertion(v,x,v,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1022_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f18794,plain,(
% 251.83/32.55 ~sQ851_spl|sQ1022_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f18772,f15392,f18791])).
% 251.83/32.55 fof(f19005,plain,(
% 251.83/32.55 ~equidistant(v,y,v,y)|y=y),
% 251.83/32.55 inference(resolution,[status(thm)],[f2119,f143])).
% 251.83/32.55 fof(f19013,definition,(
% 251.83/32.55 sQ1037_spl <=> (equidistant(v,y,v,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1037_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19015,plain,(
% 251.83/32.55 ~equidistant(v,y,v,y)|sQ1037_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f19013])).
% 251.83/32.55 fof(f19016,definition,(
% 251.83/32.55 sQ1038_spl <=> (y=y)),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1038_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19019,plain,(
% 251.83/32.55 ~sQ1037_spl|sQ1038_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19005,f19013,f19016])).
% 251.83/32.55 fof(f19020,plain,(
% 251.83/32.55 $false|sQ1037_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f19015,f143])).
% 251.83/32.55 fof(f19021,plain,(
% 251.83/32.55 sQ1037_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f19020])).
% 251.83/32.55 fof(f19022,plain,(
% 251.83/32.55 ~equidistant(v,y,v,y)|~equidistant(v,x,v,x)|equidistant(y,x,y,x)),
% 251.83/32.55 inference(resolution,[status(thm)],[f2120,f267])).
% 251.83/32.55 fof(f19032,definition,(
% 251.83/32.55 sQ1039_spl <=> (equidistant(v,x,v,x))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1039_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19034,plain,(
% 251.83/32.55 ~equidistant(v,x,v,x)|sQ1039_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f19032])).
% 251.83/32.55 fof(f19035,definition,(
% 251.83/32.55 sQ1040_spl <=> (equidistant(y,x,y,x))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1040_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19038,plain,(
% 251.83/32.55 ~sQ1037_spl|~sQ1039_spl|sQ1040_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19022,f19013,f19032,f19035])).
% 251.83/32.55 fof(f19053,plain,(
% 251.83/32.55 $false|sQ1039_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f19034,f143])).
% 251.83/32.55 fof(f19054,plain,(
% 251.83/32.55 sQ1039_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f19053])).
% 251.83/32.55 fof(f19232,plain,(
% 251.83/32.55 ~between(v,w,w)|w=v|~sQ897_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f16377,f1277])).
% 251.83/32.55 fof(f19265,definition,(
% 251.83/32.55 sQ1053_spl <=> (v=reflection(w,v))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1053_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19266,plain,(
% 251.83/32.55 v=reflection(w,v)|~sQ1053_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f19265])).
% 251.83/32.55 fof(f19298,definition,(
% 251.83/32.55 sQ1057_spl <=> (between(w,w,v))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1057_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19300,plain,(
% 251.83/32.55 ~between(w,w,v)|sQ1057_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f19298])).
% 251.83/32.55 fof(f19302,plain,(
% 251.83/32.55 ~sQ483_spl|sQ7_spl|~sQ897_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19232,f5937,f457,f16376])).
% 251.83/32.55 fof(f19320,plain,(
% 251.83/32.55 $false|sQ1057_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f19300,f176])).
% 251.83/32.55 fof(f19321,plain,(
% 251.83/32.55 sQ1057_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f19320])).
% 251.83/32.55 fof(f19417,plain,(
% 251.83/32.55 between(y,y,w)|between(y,y,w)),
% 251.83/32.55 inference(resolution,[status(thm)],[f2227,f266])).
% 251.83/32.55 fof(f19418,plain,(
% 251.83/32.55 between(y,u,w)|between(u,y,w)),
% 251.83/32.55 inference(resolution,[status(thm)],[f2227,f176])).
% 251.83/32.55 fof(f19420,definition,(
% 251.83/32.55 sQ1061_spl <=> (between(y,y,w))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1061_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19423,plain,(
% 251.83/32.55 sQ1061_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19417,f19420])).
% 251.83/32.55 fof(f19424,plain,(
% 251.83/32.55 sQ144_spl|sQ279_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19418,f2291,f3838])).
% 251.83/32.55 fof(f19429,plain,(
% 251.83/32.55 between(u,y,y)|between(u,y,y)),
% 251.83/32.55 inference(resolution,[status(thm)],[f2228,f266])).
% 251.83/32.55 fof(f19432,plain,(
% 251.83/32.55 sQ826_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19429,f14220])).
% 251.83/32.55 fof(f19653,plain,(
% 251.83/32.55 ~between(u,y,y)|y=insertion(u,w,u,y)),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f2232,f2029])).
% 251.83/32.55 fof(f19656,plain,(
% 251.83/32.55 ![X0,X1,X2,X3]: (~equidistant(y,X0,y,X1)|~equidistant(u,X2,u,X3)|~equidistant(y,X2,insertion(u,w,u,y),X3)|~between(u,y,X0)|~between(u,insertion(u,w,u,y),X1)|u=y|equidistant(X0,X2,X1,X3))),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f2232,f1663])).
% 251.83/32.55 fof(f19672,definition,(
% 251.83/32.55 sQ1083_spl <=> (y=insertion(u,w,u,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1083_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19675,plain,(
% 251.83/32.55 ~sQ826_spl|sQ1083_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19653,f14220,f19672])).
% 251.83/32.55 fof(f19677,definition,(
% 251.83/32.55 ![X0,X1,X2,X3]: (sQ1084_spl <=> (~equidistant(y,X0,y,X1)|~equidistant(u,X2,u,X3)|~equidistant(y,X2,insertion(u,w,u,y),X3)|~between(u,y,X0)|~between(u,insertion(u,w,u,y),X1)|equidistant(X0,X2,X1,X3)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1084_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19680,plain,(
% 251.83/32.55 sQ1084_spl|sQ15_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19656,f19677,f517])).
% 251.83/32.55 fof(f19727,plain,(
% 251.83/32.55 between(u,v,x)|~sQ293_spl|~sQ178_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f3941,f2615])).
% 251.83/32.55 fof(f19772,plain,(
% 251.83/32.55 ![X0]: (~equidistant(v,x,v,X0)|~equidistant(w,x,w,X0)|v=w|x=X0|~sQ293_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f3941,f205])).
% 251.83/32.55 fof(f19780,plain,(
% 251.83/32.55 ~between(w,v,x)|v=w|~sQ293_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f3941,f178])).
% 251.83/32.55 fof(f19795,plain,(
% 251.83/32.55 sQ67_spl|~sQ293_spl|~sQ178_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19727,f1335,f3940,f2614])).
% 251.83/32.55 fof(f19840,plain,(
% 251.83/32.55 sQ156_spl|sQ7_spl|~sQ293_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19772,f2454,f457,f3940])).
% 251.83/32.55 fof(f19844,plain,(
% 251.83/32.55 ~sQ160_spl|sQ7_spl|~sQ293_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19780,f2470,f457,f3940])).
% 251.83/32.55 fof(f19898,plain,(
% 251.83/32.55 ~between(x,v,u)|u=v|~sQ92_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f1837,f180])).
% 251.83/32.55 fof(f19899,plain,(
% 251.83/32.55 ~between(u,x,v)|x=u|~sQ92_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f1837,f178])).
% 251.83/32.55 fof(f19900,plain,(
% 251.83/32.55 between(v,u,x)|~sQ92_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f1837,f175])).
% 251.83/32.55 fof(f19934,plain,(
% 251.83/32.55 ~sQ269_spl|sQ10_spl|~sQ92_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19898,f3779,f468,f1836])).
% 251.83/32.55 fof(f19935,plain,(
% 251.83/32.55 ~sQ398_spl|sQ70_spl|~sQ92_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19899,f4855,f1359,f1836])).
% 251.83/32.55 fof(f19936,plain,(
% 251.83/32.55 sQ441_spl|~sQ92_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19900,f5291,f1836])).
% 251.83/32.55 fof(f19955,definition,(
% 251.83/32.55 sQ1101_spl <=> (equidistant(u,y,u,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1101_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19957,plain,(
% 251.83/32.55 ~equidistant(u,y,u,y)|sQ1101_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f19955])).
% 251.83/32.55 fof(f19959,plain,(
% 251.83/32.55 $false|sQ1101_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f19957,f143])).
% 251.83/32.55 fof(f19960,plain,(
% 251.83/32.55 sQ1101_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f19959])).
% 251.83/32.55 fof(f19961,plain,(
% 251.83/32.55 ~equidistant(u,y,u,y)|~equidistant(u,w,u,w)|equidistant(y,w,y,w)),
% 251.83/32.55 inference(resolution,[status(thm)],[f2236,f266])).
% 251.83/32.55 fof(f19970,definition,(
% 251.83/32.55 sQ1102_spl <=> (equidistant(y,w,y,w))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1102_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f19973,plain,(
% 251.83/32.55 ~sQ1101_spl|~sQ480_spl|sQ1102_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f19961,f19955,f5914,f19970])).
% 251.83/32.55 fof(f20031,plain,(
% 251.83/32.55 u=reflection(x,x)|~sQ942_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f17060,f171])).
% 251.83/32.55 fof(f20090,plain,(
% 251.83/32.55 u=x|~sQ942_spl),
% 251.83/32.55 inference(forward_demodulation,[status(thm)],[f272,f20031])).
% 251.83/32.55 fof(f20091,plain,(
% 251.83/32.55 $false|~sQ942_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f20090,f269])).
% 251.83/32.55 fof(f20092,plain,(
% 251.83/32.55 ~sQ942_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f20091])).
% 251.83/32.55 fof(f20296,plain,(
% 251.83/32.55 ~between(w,x,u)|x=w|~sQ373_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f4667,f178])).
% 251.83/32.55 fof(f20375,plain,(
% 251.83/32.55 ~sQ259_spl|sQ153_spl|~sQ373_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f20296,f3594,f2442,f4666])).
% 251.83/32.55 fof(f20567,plain,(
% 251.83/32.55 ~between(v,x,x)|x=v|~sQ949_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f17118,f1277])).
% 251.83/32.55 fof(f20600,definition,(
% 251.83/32.55 sQ1176_spl <=> (v=reflection(x,v))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1176_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f20601,plain,(
% 251.83/32.55 v=reflection(x,v)|~sQ1176_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f20600])).
% 251.83/32.55 fof(f20634,definition,(
% 251.83/32.55 sQ1180_spl <=> (between(x,x,v))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1180_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f20636,plain,(
% 251.83/32.55 ~between(x,x,v)|sQ1180_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f20634])).
% 251.83/32.55 fof(f20638,plain,(
% 251.83/32.55 ~sQ89_spl|sQ182_spl|~sQ949_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f20567,f1752,f2705,f17117])).
% 251.83/32.55 fof(f20656,plain,(
% 251.83/32.55 $false|sQ1180_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f20636,f176])).
% 251.83/32.55 fof(f20657,plain,(
% 251.83/32.55 sQ1180_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f20656])).
% 251.83/32.55 fof(f20658,plain,(
% 251.83/32.55 between(y,x,w)|~sQ159_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f2467,f2127])).
% 251.83/32.55 fof(f20708,plain,(
% 251.83/32.55 ~between(x,v,w)|v=x|~sQ159_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f2467,f178])).
% 251.83/32.55 fof(f20790,plain,(
% 251.83/32.55 ~sQ272_spl|sQ182_spl|~sQ159_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f20708,f3791,f2705,f2466])).
% 251.83/32.55 fof(f20916,plain,(
% 251.83/32.55 between(y,w,w)|between(y,w,w)|~sQ138_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f2268,f266])).
% 251.83/32.55 fof(f20920,plain,(
% 251.83/32.55 sQ1003_spl|~sQ138_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f20916,f18429,f2267])).
% 251.83/32.55 fof(f20948,plain,(
% 251.83/32.55 ~equidistant(u,w,u,w)|w=w|~sQ140_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f2276,f143])).
% 251.83/32.55 fof(f20953,plain,(
% 251.83/32.55 ~sQ480_spl|sQ426_spl|~sQ140_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f20948,f5914,f5142,f2275])).
% 251.83/32.55 fof(f21159,definition,(
% 251.83/32.55 sQ1218_spl <=> (x=reflection(x,w))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1218_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f21160,plain,(
% 251.83/32.55 x=reflection(x,w)|~sQ1218_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f21159])).
% 251.83/32.55 fof(f21306,plain,(
% 251.83/32.55 ~equidistant(v,x,v,x)|x=x|~sQ156_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f2455,f143])).
% 251.83/32.55 fof(f21313,plain,(
% 251.83/32.55 ~sQ1039_spl|sQ517_spl|~sQ156_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f21306,f19032,f7383,f2454])).
% 251.83/32.55 fof(f21403,plain,(
% 251.83/32.55 ~equidistant(v,x,v,x)|x=x|~sQ124_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f2160,f143])).
% 251.83/32.55 fof(f21411,plain,(
% 251.83/32.55 ~sQ1039_spl|sQ517_spl|~sQ124_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f21403,f19032,f7383,f2159])).
% 251.83/32.55 fof(f21537,plain,(
% 251.83/32.55 w=v|~sQ1053_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f19266,f160])).
% 251.83/32.55 fof(f21585,plain,(
% 251.83/32.55 sQ7_spl|~sQ1053_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f21537,f457,f19265])).
% 251.83/32.55 fof(f21995,plain,(
% 251.83/32.55 ![X0]: (~equidistant(u,x,u,X0)|~equidistant(v,x,v,X0)|u=v|x=X0|~sQ67_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f1336,f205])).
% 251.83/32.55 fof(f22063,plain,(
% 251.83/32.55 sQ677_spl|sQ10_spl|~sQ67_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f21995,f10318,f468,f1335])).
% 251.83/32.55 fof(f22176,plain,(
% 251.83/32.55 between(u,w,v)|~sQ1_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f284,f175])).
% 251.83/32.55 fof(f22260,plain,(
% 251.83/32.55 x=v|~sQ1176_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f20601,f160])).
% 251.83/32.55 fof(f22308,plain,(
% 251.83/32.55 sQ182_spl|~sQ1176_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f22260,f2705,f20600])).
% 251.83/32.55 fof(f22343,definition,(
% 251.83/32.55 sQ1309_spl <=> (between(x,v,v))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1309_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f22345,plain,(
% 251.83/32.55 ~between(x,v,v)|sQ1309_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f22343])).
% 251.83/32.55 fof(f22589,definition,(
% 251.83/32.55 sQ1334_spl <=> (between(w,w,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1334_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f22591,plain,(
% 251.83/32.55 ~between(w,w,y)|sQ1334_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f22589])).
% 251.83/32.55 fof(f22611,plain,(
% 251.83/32.55 $false|sQ1334_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f22591,f176])).
% 251.83/32.55 fof(f22612,plain,(
% 251.83/32.55 sQ1334_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f22611])).
% 251.83/32.55 fof(f22622,plain,(
% 251.83/32.55 colinear(w,v,y)|~sQ41_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f1027,f11012])).
% 251.83/32.55 fof(f22775,definition,(
% 251.83/32.55 sQ1352_spl <=> (between(x,x,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1352_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f22777,plain,(
% 251.83/32.55 ~between(x,x,y)|sQ1352_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f22775])).
% 251.83/32.55 fof(f22801,plain,(
% 251.83/32.55 $false|sQ1352_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f22777,f176])).
% 251.83/32.55 fof(f22802,plain,(
% 251.83/32.55 sQ1352_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f22801])).
% 251.83/32.55 fof(f22803,plain,(
% 251.83/32.55 colinear(u,v,y)|~sQ42_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f1031,f11012])).
% 251.83/32.55 fof(f23075,plain,(
% 251.83/32.55 v=x|~sQ87_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f1746,f124])).
% 251.83/32.55 fof(f23143,definition,(
% 251.83/32.55 sQ1382_spl <=> (between(v,v,x))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1382_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23145,plain,(
% 251.83/32.55 ~between(v,v,x)|sQ1382_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f23143])).
% 251.83/32.55 fof(f23168,plain,(
% 251.83/32.55 sQ182_spl|~sQ87_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f23075,f2705,f1745])).
% 251.83/32.55 fof(f23169,plain,(
% 251.83/32.55 $false|sQ1309_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f22345,f172])).
% 251.83/32.55 fof(f23170,plain,(
% 251.83/32.55 sQ1309_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f23169])).
% 251.83/32.55 fof(f23171,plain,(
% 251.83/32.55 $false|sQ1382_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f23145,f176])).
% 251.83/32.55 fof(f23172,plain,(
% 251.83/32.55 sQ1382_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f23171])).
% 251.83/32.55 fof(f23259,definition,(
% 251.83/32.55 sQ1393_spl <=> (between(x,y,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1393_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23261,plain,(
% 251.83/32.55 ~between(x,y,y)|sQ1393_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f23259])).
% 251.83/32.55 fof(f23280,plain,(
% 251.83/32.55 $false|sQ1393_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f23261,f172])).
% 251.83/32.55 fof(f23281,plain,(
% 251.83/32.55 sQ1393_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f23280])).
% 251.83/32.55 fof(f23754,plain,(
% 251.83/32.55 ![X0,X1]: (~colinear(w,v,X0)|~colinear(w,v,X1)|colinear(y,X0,X1)|w=v|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f22622,f262])).
% 251.83/32.55 fof(f23757,plain,(
% 251.83/32.55 ![X0]: (~colinear(w,v,X0)|colinear(v,y,X0)|w=v|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f22622,f256])).
% 251.83/32.55 fof(f23758,plain,(
% 251.83/32.55 ![X0]: (~colinear(w,v,X0)|colinear(w,y,X0)|w=v|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f22622,f254])).
% 251.83/32.55 fof(f23759,plain,(
% 251.83/32.55 colinear(v,w,y)|~sQ41_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f22622,f244])).
% 251.83/32.55 fof(f23760,plain,(
% 251.83/32.55 colinear(y,w,v)|~sQ41_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f22622,f243])).
% 251.83/32.55 fof(f23763,plain,(
% 251.83/32.55 colinear(y,v,w)|~sQ41_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f22622,f240])).
% 251.83/32.55 fof(f23765,definition,(
% 251.83/32.55 ![X0,X1]: (sQ1456_spl <=> (~colinear(w,v,X0)|~colinear(w,v,X1)|colinear(y,X0,X1)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1456_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23768,plain,(
% 251.83/32.55 sQ1456_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f23754,f23765,f457,f1026])).
% 251.83/32.55 fof(f23777,definition,(
% 251.83/32.55 ![X0]: (sQ1459_spl <=> (~colinear(w,v,X0)|colinear(v,y,X0)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1459_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23780,plain,(
% 251.83/32.55 sQ1459_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f23757,f23777,f457,f1026])).
% 251.83/32.55 fof(f23781,definition,(
% 251.83/32.55 ![X0]: (sQ1460_spl <=> (~colinear(w,v,X0)|colinear(w,y,X0)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1460_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23784,plain,(
% 251.83/32.55 sQ1460_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f23758,f23781,f457,f1026])).
% 251.83/32.55 fof(f23785,definition,(
% 251.83/32.55 sQ1461_spl <=> (between(y,w,v))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1461_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23786,plain,(
% 251.83/32.55 between(y,w,v)|~sQ1461_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f23785])).
% 251.83/32.55 fof(f23875,definition,(
% 251.83/32.55 sQ1467_spl <=> (between(w,y,y))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1467_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23877,plain,(
% 251.83/32.55 ~between(w,y,y)|sQ1467_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f23875])).
% 251.83/32.55 fof(f23896,plain,(
% 251.83/32.55 $false|sQ1467_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f23877,f172])).
% 251.83/32.55 fof(f23897,plain,(
% 251.83/32.55 sQ1467_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f23896])).
% 251.83/32.55 fof(f23901,plain,(
% 251.83/32.55 ![X0,X1]: (~colinear(u,v,X0)|~colinear(u,v,X1)|colinear(y,X0,X1)|u=v|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f22803,f262])).
% 251.83/32.55 fof(f23904,plain,(
% 251.83/32.55 ![X0]: (~colinear(u,v,X0)|colinear(v,y,X0)|u=v|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f22803,f256])).
% 251.83/32.55 fof(f23905,plain,(
% 251.83/32.55 ![X0]: (~colinear(u,v,X0)|colinear(u,y,X0)|u=v|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f22803,f254])).
% 251.83/32.55 fof(f23906,plain,(
% 251.83/32.55 colinear(v,u,y)|~sQ42_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f22803,f244])).
% 251.83/32.55 fof(f23907,plain,(
% 251.83/32.55 colinear(y,u,v)|~sQ42_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f22803,f243])).
% 251.83/32.55 fof(f23908,plain,(
% 251.83/32.55 colinear(u,y,v)|~sQ42_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f22803,f242])).
% 251.83/32.55 fof(f23909,plain,(
% 251.83/32.55 colinear(v,y,u)|~sQ42_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f22803,f241])).
% 251.83/32.55 fof(f23910,plain,(
% 251.83/32.55 colinear(y,v,u)|~sQ42_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f22803,f240])).
% 251.83/32.55 fof(f23912,definition,(
% 251.83/32.55 ![X0,X1]: (sQ1471_spl <=> (~colinear(u,v,X0)|~colinear(u,v,X1)|colinear(y,X0,X1)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1471_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23915,plain,(
% 251.83/32.55 sQ1471_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f23901,f23912,f468,f1030])).
% 251.83/32.55 fof(f23924,definition,(
% 251.83/32.55 ![X0]: (sQ1474_spl <=> (~colinear(u,v,X0)|colinear(v,y,X0)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1474_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23927,plain,(
% 251.83/32.55 sQ1474_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f23904,f23924,f468,f1030])).
% 251.83/32.55 fof(f23928,definition,(
% 251.83/32.55 ![X0]: (sQ1475_spl <=> (~colinear(u,v,X0)|colinear(u,y,X0)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1475_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f23931,plain,(
% 251.83/32.55 sQ1475_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f23905,f23928,f468,f1030])).
% 251.83/32.55 fof(f24112,plain,(
% 251.83/32.55 ~between(w,x,x)|x=w|~sQ1218_spl),
% 251.83/32.55 inference(paramodulation,[status(thm)],[f21160,f1277])).
% 251.83/32.55 fof(f24145,definition,(
% 251.83/32.55 sQ1478_spl <=> (w=reflection(x,w))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1478_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f24146,plain,(
% 251.83/32.55 w=reflection(x,w)|~sQ1478_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f24145])).
% 251.83/32.55 fof(f24179,definition,(
% 251.83/32.55 sQ1482_spl <=> (between(x,x,w))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1482_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f24181,plain,(
% 251.83/32.55 ~between(x,x,w)|sQ1482_spl),
% 251.83/32.55 inference(component_clause,[status(thm)],[f24179])).
% 251.83/32.55 fof(f24183,plain,(
% 251.83/32.55 ~sQ263_spl|sQ153_spl|~sQ1218_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f24112,f3608,f2442,f21159])).
% 251.83/32.55 fof(f24201,plain,(
% 251.83/32.55 $false|sQ1482_spl),
% 251.83/32.55 inference(forward_subsumption_resolution,[status(thm)],[f24181,f176])).
% 251.83/32.55 fof(f24202,plain,(
% 251.83/32.55 sQ1482_spl),
% 251.83/32.55 inference(contradiction_clause,[status(thm)],[f24201])).
% 251.83/32.55 fof(f24363,plain,(
% 251.83/32.55 ![X0,X1]: (~colinear(v,w,X0)|~colinear(v,w,X1)|colinear(y,X0,X1)|v=w|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23759,f262])).
% 251.83/32.55 fof(f24366,plain,(
% 251.83/32.55 ![X0]: (~colinear(v,w,X0)|colinear(w,y,X0)|v=w|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23759,f256])).
% 251.83/32.55 fof(f24367,plain,(
% 251.83/32.55 ![X0]: (~colinear(v,w,X0)|colinear(v,y,X0)|v=w|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23759,f254])).
% 251.83/32.55 fof(f24374,definition,(
% 251.83/32.55 ![X0,X1]: (sQ1507_spl <=> (~colinear(v,w,X0)|~colinear(v,w,X1)|colinear(y,X0,X1)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1507_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f24377,plain,(
% 251.83/32.55 sQ1507_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f24363,f24374,f457,f1026])).
% 251.83/32.55 fof(f24386,definition,(
% 251.83/32.55 ![X0]: (sQ1510_spl <=> (~colinear(v,w,X0)|colinear(w,y,X0)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1510_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f24389,plain,(
% 251.83/32.55 sQ1510_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f24366,f24386,f457,f1026])).
% 251.83/32.55 fof(f24390,definition,(
% 251.83/32.55 ![X0]: (sQ1511_spl <=> (~colinear(v,w,X0)|colinear(v,y,X0)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1511_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f24393,plain,(
% 251.83/32.55 sQ1511_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f24367,f24390,f457,f1026])).
% 251.83/32.55 fof(f24695,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,w,v)|colinear(X0,y,w)|v=w|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23760,f260])).
% 251.83/32.55 fof(f24696,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,w,v)|colinear(X0,y,v)|v=w|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23760,f258])).
% 251.83/32.55 fof(f24709,definition,(
% 251.83/32.55 ![X0]: (sQ1528_spl <=> (~colinear(X0,w,v)|colinear(X0,y,w)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1528_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f24712,plain,(
% 251.83/32.55 sQ1528_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f24695,f24709,f457,f1026])).
% 251.83/32.55 fof(f24713,definition,(
% 251.83/32.55 ![X0]: (sQ1529_spl <=> (~colinear(X0,w,v)|colinear(X0,y,v)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1529_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f24716,plain,(
% 251.83/32.55 sQ1529_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f24696,f24713,f457,f1026])).
% 251.83/32.55 fof(f24903,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,v,w)|colinear(X0,y,v)|w=v|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23763,f260])).
% 251.83/32.55 fof(f24904,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,v,w)|colinear(X0,y,w)|w=v|~sQ41_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23763,f258])).
% 251.83/32.55 fof(f24917,definition,(
% 251.83/32.55 ![X0]: (sQ1550_spl <=> (~colinear(X0,v,w)|colinear(X0,y,v)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1550_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f24920,plain,(
% 251.83/32.55 sQ1550_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f24903,f24917,f457,f1026])).
% 251.83/32.55 fof(f24921,definition,(
% 251.83/32.55 ![X0]: (sQ1551_spl <=> (~colinear(X0,v,w)|colinear(X0,y,w)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1551_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f24924,plain,(
% 251.83/32.55 sQ1551_spl|sQ7_spl|~sQ41_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f24904,f24921,f457,f1026])).
% 251.83/32.55 fof(f24937,plain,(
% 251.83/32.55 ~between(v,v,x)|between(v,w,x)|~sQ1461_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f23786,f2871])).
% 251.83/32.55 fof(f25004,plain,(
% 251.83/32.55 ~sQ1382_spl|sQ293_spl|~sQ1461_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f24937,f23143,f3940,f23785])).
% 251.83/32.55 fof(f25088,plain,(
% 251.83/32.55 between(y,w,v)|~sQ1_spl),
% 251.83/32.55 inference(resolution,[status(thm)],[f22176,f2243])).
% 251.83/32.55 fof(f25155,plain,(
% 251.83/32.55 sQ1461_spl|~sQ1_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25088,f23785,f283])).
% 251.83/32.55 fof(f25282,plain,(
% 251.83/32.55 ![X0,X1]: (~colinear(v,u,X0)|~colinear(v,u,X1)|colinear(y,X0,X1)|v=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23906,f262])).
% 251.83/32.55 fof(f25283,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,u,y)|colinear(X0,v,u)|y=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23906,f260])).
% 251.83/32.55 fof(f25284,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,u,y)|colinear(X0,v,y)|y=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23906,f258])).
% 251.83/32.55 fof(f25285,plain,(
% 251.83/32.55 ![X0]: (~colinear(v,u,X0)|colinear(u,y,X0)|v=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23906,f256])).
% 251.83/32.55 fof(f25286,plain,(
% 251.83/32.55 ![X0]: (~colinear(v,u,X0)|colinear(v,y,X0)|v=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23906,f254])).
% 251.83/32.55 fof(f25293,definition,(
% 251.83/32.55 ![X0,X1]: (sQ1582_spl <=> (~colinear(v,u,X0)|~colinear(v,u,X1)|colinear(y,X0,X1)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1582_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f25296,plain,(
% 251.83/32.55 sQ1582_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25282,f25293,f468,f1030])).
% 251.83/32.55 fof(f25297,definition,(
% 251.83/32.55 ![X0]: (sQ1583_spl <=> (~colinear(X0,u,y)|colinear(X0,v,u)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1583_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f25300,plain,(
% 251.83/32.55 sQ1583_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25283,f25297,f517,f1030])).
% 251.83/32.55 fof(f25301,definition,(
% 251.83/32.55 ![X0]: (sQ1584_spl <=> (~colinear(X0,u,y)|colinear(X0,v,y)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1584_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f25304,plain,(
% 251.83/32.55 sQ1584_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25284,f25301,f517,f1030])).
% 251.83/32.55 fof(f25305,definition,(
% 251.83/32.55 ![X0]: (sQ1585_spl <=> (~colinear(v,u,X0)|colinear(u,y,X0)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1585_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f25308,plain,(
% 251.83/32.55 sQ1585_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25285,f25305,f468,f1030])).
% 251.83/32.55 fof(f25309,definition,(
% 251.83/32.55 ![X0]: (sQ1586_spl <=> (~colinear(v,u,X0)|colinear(v,y,X0)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1586_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f25312,plain,(
% 251.83/32.55 sQ1586_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25286,f25309,f468,f1030])).
% 251.83/32.55 fof(f25320,plain,(
% 251.83/32.55 ![X0,X1]: (~colinear(y,u,X0)|~colinear(y,u,X1)|colinear(v,X0,X1)|y=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23907,f262])).
% 251.83/32.55 fof(f25321,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,u,v)|colinear(X0,y,u)|v=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23907,f260])).
% 251.83/32.55 fof(f25322,plain,(
% 251.83/32.55 ![X0]: (~colinear(X0,u,v)|colinear(X0,y,v)|v=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23907,f258])).
% 251.83/32.55 fof(f25323,plain,(
% 251.83/32.55 ![X0]: (~colinear(y,u,X0)|colinear(u,v,X0)|y=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23907,f256])).
% 251.83/32.55 fof(f25324,plain,(
% 251.83/32.55 ![X0]: (~colinear(y,u,X0)|colinear(y,v,X0)|y=u|~sQ42_spl)),
% 251.83/32.55 inference(resolution,[status(thm)],[f23907,f254])).
% 251.83/32.55 fof(f25331,definition,(
% 251.83/32.55 ![X0,X1]: (sQ1589_spl <=> (~colinear(y,u,X0)|~colinear(y,u,X1)|colinear(v,X0,X1)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1589_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f25334,plain,(
% 251.83/32.55 sQ1589_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25320,f25331,f517,f1030])).
% 251.83/32.55 fof(f25335,definition,(
% 251.83/32.55 ![X0]: (sQ1590_spl <=> (~colinear(X0,u,v)|colinear(X0,y,u)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1590_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f25338,plain,(
% 251.83/32.55 sQ1590_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25321,f25335,f468,f1030])).
% 251.83/32.55 fof(f25339,definition,(
% 251.83/32.55 ![X0]: (sQ1591_spl <=> (~colinear(X0,u,v)|colinear(X0,y,v)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1591_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f25342,plain,(
% 251.83/32.55 sQ1591_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25322,f25339,f468,f1030])).
% 251.83/32.55 fof(f25343,definition,(
% 251.83/32.55 ![X0]: (sQ1592_spl <=> (~colinear(y,u,X0)|colinear(u,v,X0)))),
% 251.83/32.55 introduced(definition,[new_symbols(definition,[sQ1592_spl])],[split_symbol_definition])).
% 251.83/32.55 fof(f25346,plain,(
% 251.83/32.55 sQ1592_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.55 inference(split_clause,[status(thm)],[f25323,f25343,f517,f1030])).
% 251.83/32.56 fof(f25347,definition,(
% 251.83/32.56 ![X0]: (sQ1593_spl <=> (~colinear(y,u,X0)|colinear(y,v,X0)))),
% 251.83/32.56 introduced(definition,[new_symbols(definition,[sQ1593_spl])],[split_symbol_definition])).
% 251.83/32.56 fof(f25350,plain,(
% 251.83/32.56 sQ1593_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f25324,f25347,f517,f1030])).
% 251.83/32.56 fof(f25352,plain,(
% 251.83/32.56 ![X0,X1]: (~colinear(u,y,X0)|~colinear(u,y,X1)|colinear(v,X0,X1)|u=y|~sQ42_spl)),
% 251.83/32.56 inference(resolution,[status(thm)],[f23908,f262])).
% 251.83/32.56 fof(f25355,plain,(
% 251.83/32.56 ![X0]: (~colinear(u,y,X0)|colinear(y,v,X0)|u=y|~sQ42_spl)),
% 251.83/32.56 inference(resolution,[status(thm)],[f23908,f256])).
% 251.83/32.56 fof(f25356,plain,(
% 251.83/32.56 ![X0]: (~colinear(u,y,X0)|colinear(u,v,X0)|u=y|~sQ42_spl)),
% 251.83/32.56 inference(resolution,[status(thm)],[f23908,f254])).
% 251.83/32.56 fof(f25363,definition,(
% 251.83/32.56 ![X0,X1]: (sQ1594_spl <=> (~colinear(u,y,X0)|~colinear(u,y,X1)|colinear(v,X0,X1)))),
% 251.83/32.56 introduced(definition,[new_symbols(definition,[sQ1594_spl])],[split_symbol_definition])).
% 251.83/32.56 fof(f25366,plain,(
% 251.83/32.56 sQ1594_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f25352,f25363,f517,f1030])).
% 251.83/32.56 fof(f25375,definition,(
% 251.83/32.56 ![X0]: (sQ1597_spl <=> (~colinear(u,y,X0)|colinear(y,v,X0)))),
% 251.83/32.56 introduced(definition,[new_symbols(definition,[sQ1597_spl])],[split_symbol_definition])).
% 251.83/32.56 fof(f25378,plain,(
% 251.83/32.56 sQ1597_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f25355,f25375,f517,f1030])).
% 251.83/32.56 fof(f25379,definition,(
% 251.83/32.56 ![X0]: (sQ1598_spl <=> (~colinear(u,y,X0)|colinear(u,v,X0)))),
% 251.83/32.56 introduced(definition,[new_symbols(definition,[sQ1598_spl])],[split_symbol_definition])).
% 251.83/32.56 fof(f25382,plain,(
% 251.83/32.56 sQ1598_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f25356,f25379,f517,f1030])).
% 251.83/32.56 fof(f25385,plain,(
% 251.83/32.56 ![X0]: (~colinear(X0,y,u)|colinear(X0,v,y)|u=y|~sQ42_spl)),
% 251.83/32.56 inference(resolution,[status(thm)],[f23909,f260])).
% 251.83/32.56 fof(f25386,plain,(
% 251.83/32.56 ![X0]: (~colinear(X0,y,u)|colinear(X0,v,u)|u=y|~sQ42_spl)),
% 251.83/32.56 inference(resolution,[status(thm)],[f23909,f258])).
% 251.83/32.56 fof(f25399,definition,(
% 251.83/32.56 ![X0]: (sQ1600_spl <=> (~colinear(X0,y,u)|colinear(X0,v,y)))),
% 251.83/32.56 introduced(definition,[new_symbols(definition,[sQ1600_spl])],[split_symbol_definition])).
% 251.83/32.56 fof(f25402,plain,(
% 251.83/32.56 sQ1600_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f25385,f25399,f517,f1030])).
% 251.83/32.56 fof(f25403,definition,(
% 251.83/32.56 ![X0]: (sQ1601_spl <=> (~colinear(X0,y,u)|colinear(X0,v,u)))),
% 251.83/32.56 introduced(definition,[new_symbols(definition,[sQ1601_spl])],[split_symbol_definition])).
% 251.83/32.56 fof(f25406,plain,(
% 251.83/32.56 sQ1601_spl|sQ15_spl|~sQ42_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f25386,f25403,f517,f1030])).
% 251.83/32.56 fof(f25417,plain,(
% 251.83/32.56 ![X0]: (~colinear(X0,v,u)|colinear(X0,y,v)|u=v|~sQ42_spl)),
% 251.83/32.56 inference(resolution,[status(thm)],[f23910,f260])).
% 251.83/32.56 fof(f25418,plain,(
% 251.83/32.56 ![X0]: (~colinear(X0,v,u)|colinear(X0,y,u)|u=v|~sQ42_spl)),
% 251.83/32.56 inference(resolution,[status(thm)],[f23910,f258])).
% 251.83/32.56 fof(f25431,definition,(
% 251.83/32.56 ![X0]: (sQ1605_spl <=> (~colinear(X0,v,u)|colinear(X0,y,v)))),
% 251.83/32.56 introduced(definition,[new_symbols(definition,[sQ1605_spl])],[split_symbol_definition])).
% 251.83/32.56 fof(f25434,plain,(
% 251.83/32.56 sQ1605_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f25417,f25431,f468,f1030])).
% 251.83/32.56 fof(f25435,definition,(
% 251.83/32.56 ![X0]: (sQ1606_spl <=> (~colinear(X0,v,u)|colinear(X0,y,u)))),
% 251.83/32.56 introduced(definition,[new_symbols(definition,[sQ1606_spl])],[split_symbol_definition])).
% 251.83/32.56 fof(f25438,plain,(
% 251.83/32.56 sQ1606_spl|sQ10_spl|~sQ42_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f25418,f25435,f468,f1030])).
% 251.83/32.56 fof(f25690,plain,(
% 251.83/32.56 x=w|~sQ1478_spl),
% 251.83/32.56 inference(resolution,[status(thm)],[f24146,f160])).
% 251.83/32.56 fof(f25738,plain,(
% 251.83/32.56 sQ153_spl|~sQ1478_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f25690,f2442,f24145])).
% 251.83/32.56 fof(f26641,plain,(
% 251.83/32.56 ~between(u,w,w)|between(u,x,w)|~sQ159_spl),
% 251.83/32.56 inference(resolution,[status(thm)],[f20658,f3193])).
% 251.83/32.56 fof(f26709,plain,(
% 251.83/32.56 ~sQ340_spl|sQ288_spl|~sQ159_spl),
% 251.83/32.56 inference(split_clause,[status(thm)],[f26641,f4413,f3902,f2466])).
% 251.83/32.56 fof(f26772,plain,(
% 251.83/32.56 $false),
% 251.83/32.56 inference(sat_refutation,[status(thm)],[f289,f480,f551,f560,f568,f694,f698,f759,f1017,f1021,f1025,f1029,f1033,f1034,f1050,f1066,f1083,f1087,f1091,f1095,f1099,f1114,f1118,f1122,f1126,f1130,f1156,f1158,f1174,f1178,f1182,f1186,f1190,f1212,f1216,f1220,f1224,f1228,f1338,f1342,f1402,f1469,f1524,f1554,f1558,f1761,f1892,f2009,f2103,f2106,f2108,f2162,f2270,f2274,f2278,f2294,f2527,f2536,f2538,f2622,f2728,f2773,f2869,f3014,f3016,f3018,f3171,f3173,f3175,f3270,f3306,f3329,f3333,f3337,f3341,f3345,f3346,f3558,f3562,f3566,f3570,f3574,f3614,f3620,f3725,f3729,f3818,f3822,f3826,f3830,f3834,f3863,f3867,f3916,f3957,f3972,f3984,f3988,f4087,f4114,f4118,f4177,f4181,f4206,f4210,f4253,f4260,f4271,f4272,f4274,f4276,f4322,f4334,f4338,f4358,f4362,f4419,f4425,f4440,f4444,f4448,f4452,f4456,f4592,f4596,f4623,f4635,f4639,f4676,f4680,f4731,f4735,f4762,f4774,f4778,f4862,f4866,f4868,f4900,f4902,f4952,f4968,f4972,f4973,f5046,f5049,f5089,f5117,f5119,f5160,f5164,f5168,f5172,f5176,f5177,f5201,f5205,f5207,f5209,f5238,f5272,f5276,f5280,f5284,f5288,f5289,f5333,f5344,f5358,f5377,f5395,f5399,f5403,f5407,f5411,f5415,f5491,f5492,f5556,f5560,f5599,f5603,f5618,f5695,f5701,f5705,f5737,f5743,f5747,f5823,f5919,f5943,f6113,f6115,f6143,f6145,f6321,f6325,f6327,f6329,f6356,f6360,f6362,f6466,f6470,f6475,f6476,f6479,f6676,f6679,f6968,f6991,f6995,f7414,f7421,f7517,f7731,f7737,f7763,f7765,f7782,f7845,f7909,f7941,f7945,f7949,f7953,f7957,f7991,f8118,f8125,f8586,f8642,f8667,f8671,f8675,f8679,f8683,f8885,f8918,f9015,f9075,f9079,f9083,f9087,f9091,f9096,f9125,f9291,f9295,f9324,f9328,f9332,f9336,f9340,f9405,f9409,f9413,f9417,f9421,f9479,f9483,f9487,f9491,f9495,f9539,f9554,f9558,f9562,f9566,f9570,f9586,f9590,f9594,f9598,f9602,f9639,f9671,f9675,f9679,f9683,f9687,f9740,f9744,f9748,f9752,f9756,f9790,f9826,f9830,f9834,f9838,f9842,f9904,f9908,f9912,f9916,f9920,f9971,f9975,f9979,f9983,f9987,f10066,f10321,f10615,f10619,f10633,f10765,f10768,f10901,f10911,f10936,f10991,f10996,f11099,f11209,f11214,f11276,f11281,f11335,f11354,f11433,f11435,f11512,f11534,f11537,f11705,f11720,f11763,f11778,f11838,f11885,f11890,f11892,f11894,f11967,f12016,f12020,f12025,f12067,f12180,f12237,f12286,f12290,f12295,f12312,f12395,f12728,f12732,f12756,f12758,f12785,f12789,f13401,f13402,f13403,f13404,f13405,f13406,f13474,f13480,f13493,f13494,f13495,f13496,f13497,f13559,f13574,f13719,f14044,f14048,f14655,f14659,f14663,f14936,f15447,f15449,f15558,f15977,f15989,f16165,f16287,f16288,f16290,f16292,f16295,f16299,f16305,f16307,f16308,f16309,f16310,f16316,f16318,f16320,f16322,f16403,f16477,f16585,f16701,f16702,f16729,f16731,f16733,f16735,f16957,f17120,f17126,f17128,f17171,f17183,f17274,f17275,f17277,f17664,f17666,f18041,f18359,f18427,f18448,f18468,f18498,f18609,f18696,f18708,f18794,f19019,f19021,f19038,f19054,f19302,f19321,f19423,f19424,f19432,f19675,f19680,f19795,f19840,f19844,f19934,f19935,f19936,f19960,f19973,f20092,f20375,f20638,f20657,f20790,f20920,f20953,f21313,f21411,f21585,f22063,f22308,f22612,f22802,f23168,f23170,f23172,f23281,f23768,f23780,f23784,f23897,f23915,f23927,f23931,f24183,f24202,f24377,f24389,f24393,f24712,f24716,f24920,f24924,f25004,f25155,f25296,f25300,f25304,f25308,f25312,f25334,f25338,f25342,f25346,f25350,f25366,f25378,f25382,f25402,f25406,f25434,f25438,f25738,f26709])).
% 251.83/32.56 % SZS output end CNFRefutation for theBenchmark.p
% 10.04/32.58 % Elapsed time: 32.107482 seconds
% 10.04/32.58 % CPU time: 253.142754 seconds
% 10.04/32.58 % Total memory used: 341.092 MB
% 10.04/32.58 % Net memory used: 297.111 MB
%------------------------------------------------------------------------------