TSTP Solution File: GEO272+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO272+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:53:27 EDT 2022
% Result : Unknown 0.81s 1.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO272+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sat Jun 18 18:18:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.81/1.39 *** allocated 10000 integers for termspace/termends
% 0.81/1.39 *** allocated 10000 integers for clauses
% 0.81/1.39 *** allocated 10000 integers for justifications
% 0.81/1.39 Bliksem 1.12
% 0.81/1.39
% 0.81/1.39
% 0.81/1.39 Automatic Strategy Selection
% 0.81/1.39
% 0.81/1.39 *** allocated 15000 integers for termspace/termends
% 0.81/1.39 *** allocated 22500 integers for termspace/termends
% 0.81/1.39 *** allocated 33750 integers for termspace/termends
% 0.81/1.39 *** allocated 50625 integers for termspace/termends
% 0.81/1.39
% 0.81/1.39 Clauses:
% 0.81/1.39
% 0.81/1.39 { ron( vd1055, skol1 ) }.
% 0.81/1.39 { rcenter( vd1057, skol1 ) }.
% 0.81/1.39 { rcircle( skol1 ) }.
% 0.81/1.39 { ! skol1 = vd1063 }.
% 0.81/1.39 { ron( vd1055, vd1063 ) }.
% 0.81/1.39 { rcenter( vd1057, vd1063 ) }.
% 0.81/1.39 { rcircle( vd1063 ) }.
% 0.81/1.39 { vd1060 = vskolem1061 }.
% 0.81/1.39 { ! ron( vd1057, X ), ! rcenter( vd1055, X ), ! rcircle( X ), X =
% 0.81/1.39 vskolem1061 }.
% 0.81/1.39 { ron( vd1057, vskolem1061 ) }.
% 0.81/1.39 { rcenter( vd1055, vskolem1061 ) }.
% 0.81/1.39 { rcircle( vskolem1061 ) }.
% 0.81/1.39 { vd1057 = vd1058 }.
% 0.81/1.39 { ! vd1055 = vd1057 }.
% 0.81/1.39 { rpoint( vd1058 ) }.
% 0.81/1.39 { vd1055 = vd1056 }.
% 0.81/1.39 { rpoint( vd1056 ) }.
% 0.81/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol2( U
% 0.81/1.39 , W ) ) }.
% 0.81/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol2( U,
% 0.81/1.39 Y ) ) }.
% 0.81/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol2
% 0.81/1.39 ( X, Y ) ) }.
% 0.81/1.39 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.81/1.39 rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 0.81/1.39 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.81/1.39 rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 0.81/1.39 { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 0.81/1.39 ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ),
% 0.81/1.39 X = Y }.
% 0.81/1.39 { ! V4 = V5, alpha28( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 0.81/1.39 ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 0.81/1.39 , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 0.81/1.39 rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 0.81/1.39 T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, !
% 0.81/1.39 rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ),
% 0.81/1.39 ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 =
% 0.81/1.39 V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), !
% 0.81/1.39 V6 = V27, ! rpoint( V27 ), alpha33( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.81/1.39 .
% 0.81/1.39 { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 0.81/1.39 ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 0.81/1.39 ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 0.81/1.39 , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 0.81/1.39 ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, !
% 0.81/1.39 rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), !
% 0.81/1.39 V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, !
% 0.81/1.39 rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), !
% 0.81/1.39 V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha33( X, Y, Z
% 0.81/1.39 , T, U, W, V0, V1, V2, V3 ) }.
% 0.81/1.39 { ! alpha33( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) =
% 0.81/1.39 vangle( V1, V2, V3 ) }.
% 0.81/1.39 { ! alpha33( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 0.81/1.39 .
% 0.81/1.39 { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ),
% 0.81/1.39 alpha33( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.81/1.39 { ! alpha28( X, Y, Z, T, U, W, V0 ), rS( skol3( X, V1, V2, V3, V4, V5, V0 )
% 0.81/1.39 , V0, X ) }.
% 0.81/1.39 { ! alpha28( X, Y, Z, T, U, W, V0 ), alpha1( X, U, W, skol46( X, V1, V2, V3
% 0.81/1.39 , U, W, V4 ) ) }.
% 0.81/1.39 { ! alpha28( X, Y, Z, T, U, W, V0 ), alpha22( Y, Z, T, U, skol3( X, Y, Z, T
% 0.81/1.39 , U, W, V0 ), skol46( X, Y, Z, T, U, W, V0 ) ) }.
% 0.81/1.39 { ! rS( V1, V0, X ), ! alpha1( X, U, W, V2 ), ! alpha22( Y, Z, T, U, V1, V2
% 0.81/1.39 ), alpha28( X, Y, Z, T, U, W, V0 ) }.
% 0.81/1.39 { ! alpha22( X, Y, Z, T, U, W ), rpoint( skol4( V0, V1, V2, V3, V4, V5 ) )
% 0.81/1.39 }.
% 0.81/1.39 { ! alpha22( X, Y, Z, T, U, W ), alpha34( X, Y, Z, T, U, W, skol4( X, Y, Z
% 0.81/1.39 , T, U, W ) ) }.
% 0.81/1.39 { ! alpha34( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha22( X, Y, Z, T, U
% 0.81/1.39 , W ) }.
% 0.81/1.39 { ! alpha34( X, Y, Z, T, U, W, V0 ), alpha39( X, Y, Z, T, U, W, V0 ) }.
% 0.81/1.39 { ! alpha34( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 0.81/1.39 { ! alpha39( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha34( X, Y, Z, T, U
% 0.81/1.39 , W, V0 ) }.
% 0.81/1.39 { ! alpha39( X, Y, Z, T, U, W, V0 ), alpha29( X, Y, Z, U, W, V0 ) }.
% 0.81/1.39 { ! alpha39( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 0.81/1.39 { ! alpha39( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 0.81/1.39 { ! alpha29( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha39( X, Y, Z
% 0.81/1.39 , T, U, W, V0 ) }.
% 0.81/1.39 { ! alpha29( X, Y, Z, T, U, W ), alpha35( X, Y, Z, T, U, W ) }.
% 0.81/1.39 { ! alpha29( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 0.81/1.39 { ! alpha35( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ),
% 0.81/1.39 alpha29( X, Y, Z, T, U, W ) }.
% 0.81/1.39 { ! alpha35( X, Y, Z, T, U, W ), alpha40( X, Y, Z, T, U, W ) }.
% 0.81/1.39 { ! alpha35( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 0.81/1.39 { ! alpha40( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ),
% 0.81/1.39 alpha35( X, Y, Z, T, U, W ) }.
% 0.81/1.39 { ! alpha40( X, Y, Z, T, U, W ), alpha42( X, Y, Z, T, U, W ) }.
% 0.81/1.39 { ! alpha40( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 0.81/1.39 { ! alpha42( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ),
% 0.81/1.39 alpha40( X, Y, Z, T, U, W ) }.
% 0.81/1.39 { ! alpha42( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 0.81/1.39 { ! alpha42( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 0.81/1.39 { ! alpha42( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 0.81/1.39 { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf(
% 0.81/1.39 W, U ), alpha42( X, Y, Z, T, U, W ) }.
% 0.81/1.39 { ! alpha1( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 0.81/1.39 { ! alpha1( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.39 { rR( Y, T, Z ), ! ron( T, X ), alpha1( X, Y, Z, T ) }.
% 0.81/1.39 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.81/1.39 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.81/1.39 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 0.81/1.39 , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 0.81/1.39 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.81/1.39 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.81/1.39 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 0.81/1.39 , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 0.81/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.81/1.39 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 0.81/1.39 , Y, Z ) = v0, ron( Z, T ) }.
% 0.81/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.81/1.39 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 0.81/1.39 , T ), vg( X, Y, Z ) = v0 }.
% 0.81/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.39 rreal( skol5( V0, V1, V2 ) ) }.
% 0.81/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.39 vg( X, Y, Z ) = skol5( X, Y, Z ) }.
% 0.81/1.39 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.81/1.39 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.81/1.39 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.81/1.39 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.81/1.39 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.81/1.39 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y,
% 0.81/1.39 Z ), rS( Y, X, T ) }.
% 0.81/1.39 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.81/1.39 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.81/1.39 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.81/1.39 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.81/1.39 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.81/1.39 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 0.81/1.39 { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ),
% 0.81/1.39 ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1,
% 0.81/1.39 ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T =
% 0.81/1.39 V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 0.81/1.39 X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 0.81/1.39 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.81/1.39 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.81/1.39 rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T )
% 0.81/1.39 = vperp }.
% 0.81/1.39 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.81/1.39 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.81/1.39 rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 0.81/1.39 , Z, Y ) }.
% 0.81/1.39 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.81/1.39 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.81/1.39 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.81/1.39 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.81/1.39 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 0.81/1.39 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.81/1.39 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.81/1.39 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.81/1.39 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.81/1.39 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 0.81/1.39 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.81/1.39 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.81/1.39 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.81/1.39 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T,
% 0.81/1.39 W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 0.81/1.39 .
% 0.81/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.81/1.39 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 0.81/1.39 ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 0.81/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.81/1.39 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.81/1.39 vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 0.81/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.81/1.39 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.81/1.39 vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 0.81/1.39 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.81/1.39 rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 0.81/1.39 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.81/1.39 rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 0.81/1.39 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.81/1.39 , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 0.81/1.39 { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 0.81/1.39 , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W,
% 0.81/1.39 T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.81/1.39 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z =
% 0.81/1.39 V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ),
% 0.81/1.39 vg( X, Y, Z ) = vg( T, U, W ) }.
% 0.81/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.39 vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 0.81/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.39 vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 0.81/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.39 rgeq( vg( X, Y, Z ), v0 ) }.
% 0.81/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 0.81/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.39 rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 0.81/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.39 rleq( v0, vangle( X, Y, Z ) ) }.
% 0.81/1.39 { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.81/1.39 rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 0.81/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 0.81/1.39 .
% 0.81/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 0.81/1.39 .
% 0.81/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 0.81/1.39 }.
% 0.81/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 0.81/1.39 }.
% 0.81/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol6( U, W ) ) }
% 0.81/1.39 .
% 0.81/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol6( X, Y
% 0.81/1.39 ) }.
% 0.81/1.39 { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 0.81/1.39 ( U ), ! X = W, ! rreal( W ), X = Y }.
% 0.81/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol7( U, W
% 0.81/1.39 ) ) }.
% 0.81/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol7( U,
% 0.81/1.39 Y ) ) }.
% 0.81/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol7( X,
% 0.81/1.39 Y ) ) }.
% 0.81/1.39 { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 0.81/1.39 rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.81/1.39 { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 0.81/1.39 ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 0.81/1.39 { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 0.81/1.39 { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 0.81/1.39 , X ), X = Y }.
% 0.81/1.39 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 0.81/1.39 ( Y, X ) }.
% 0.81/1.39 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 0.81/1.39 ) }.
% 0.81/1.39 { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 0.81/1.39 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol8( U, W ) ) }.
% 0.81/1.39 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol8( X, Y
% 0.81/1.39 ) }.
% 0.81/1.39 { v0 = vd684 }.
% 0.81/1.39 { rreal( vd684 ) }.
% 0.81/1.39 { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 0.81/1.39 U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 0.81/1.39 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 0.81/1.39 , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.81/1.39 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.81/1.39 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 0.81/1.39 ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.81/1.39 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.81/1.39 { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, !
% 0.81/1.39 rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 0.81/1.39 { rS( Y, Z, skol9( Y, Z ) ), alpha2( X, Z ), ! ron( Y, X ), ! U = T, !
% 0.81/1.39 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.81/1.39 , ! rpoint( V1 ), rintersect( skol47( X ), X ) }.
% 0.81/1.39 { rS( Y, Z, skol9( Y, Z ) ), alpha2( X, Z ), ! rinside( Y, X ), ! U = T, !
% 0.81/1.39 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.81/1.39 , ! rpoint( V1 ), rintersect( skol47( X ), X ) }.
% 0.81/1.39 { ! alpha2( X, Y ), ! ron( Y, X ) }.
% 0.81/1.39 { ! alpha2( X, Y ), ! rinside( Y, X ) }.
% 0.81/1.39 { ron( Y, X ), rinside( Y, X ), alpha2( X, Y ) }.
% 0.81/1.39 { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 0.81/1.39 ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ),
% 0.81/1.39 rintersect( X, Y ) }.
% 0.81/1.39 { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ),
% 0.81/1.39 ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 0.81/1.39 , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), !
% 0.81/1.39 rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, !
% 0.81/1.39 rcircle( V5 ), ! rS( X, Y, Z ) }.
% 0.81/1.39 { ! rR( T, Z, X ), rinside( T, Y ), alpha3( Y, Z ), ! Y = U, ! rcircle( U )
% 0.81/1.39 , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint(
% 0.81/1.39 V1 ), ! ron( X, Y ) }.
% 0.81/1.39 { ! rR( T, Z, X ), rinside( T, Y ), alpha3( Y, Z ), ! Y = U, ! rcircle( U )
% 0.81/1.39 , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint(
% 0.81/1.39 V1 ), ! ron( X, Y ) }.
% 0.81/1.39 { ! alpha3( X, Y ), ! ron( Y, X ) }.
% 0.81/1.39 { ! alpha3( X, Y ), ! rinside( Y, X ) }.
% 0.81/1.39 { ron( Y, X ), rinside( Y, X ), alpha3( X, Y ) }.
% 0.81/1.39 { ! rR( X, Z, T ), alpha4( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U ),
% 0.81/1.39 ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2
% 0.81/1.39 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.81/1.39 { ! rR( X, Z, T ), alpha4( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle( U
% 0.81/1.39 ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 0.81/1.39 ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.81/1.39 { ! alpha4( X, Y ), ! ron( Y, X ) }.
% 0.81/1.39 { ! alpha4( X, Y ), ! rinside( Y, X ) }.
% 0.81/1.39 { ron( Y, X ), rinside( Y, X ), alpha4( X, Y ) }.
% 0.81/1.39 { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), !
% 0.81/1.39 ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline(
% 0.81/1.39 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.81/1.39 rpoint( V3 ), rR( X, Y, Z ) }.
% 0.81/1.39 { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), !
% 0.81/1.39 ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 0.81/1.39 ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 0.81/1.39 V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline(
% 0.81/1.39 V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 0.81/1.39 { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 0.81/1.39 ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 0.81/1.39 W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 0.81/1.39 ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 0.81/1.39 ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 0.81/1.39 { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 0.81/1.39 , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 0.81/1.39 ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, !
% 0.81/1.39 rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 0.81/1.39 , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 0.81/1.39 { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 0.81/1.39 , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X
% 0.81/1.39 = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.81/1.39 rpoint( V3 ), rR( Y, X, Z ) }.
% 0.81/1.39 { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 0.81/1.39 ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 0.81/1.39 ) }.
% 0.81/1.39 { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 0.81/1.39 W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 0.81/1.39 ( X, Y, Z ) }.
% 0.81/1.39 { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, !
% 0.81/1.39 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 0.81/1.39 , Z ) }.
% 0.81/1.39 { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 0.81/1.39 ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 0.81/1.39 ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 0.81/1.39 { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, !
% 0.81/1.39 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 0.81/1.39 , Z ) }.
% 0.81/1.39 { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W,
% 0.81/1.39 ! rpoint( W ), ! ron( X, Y ) }.
% 0.81/1.39 { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W,
% 0.81/1.39 ! rpoint( W ), rS( Y, X, Z ) }.
% 0.81/1.39 { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 0.81/1.39 }.
% 0.81/1.39 { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.81/1.39 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 0.81/1.39 , Y, Z ) }.
% 0.81/1.39 { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 0.81/1.39 , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X =
% 0.81/1.39 V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 0.81/1.39 { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, !
% 0.81/1.39 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 0.81/1.39 , Z ) }.
% 0.81/1.39 { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.81/1.39 rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 0.81/1.39 , Y ) }.
% 0.81/1.39 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 0.81/1.39 = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.81/1.39 ron( X, Y ) }.
% 0.81/1.39 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 0.81/1.39 = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.81/1.39 ron( X, Y ) }.
% 0.81/1.39 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.81/1.39 , ! rpoint( W ), alpha5( X, Y, Z ) }.
% 0.81/1.39 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.81/1.39 , ! rpoint( W ), rR( Y, Z, X ) }.
% 0.81/1.39 { ! alpha5( X, Y, Z ), ! rR( X, Y, Z ) }.
% 0.81/1.39 { ! alpha5( X, Y, Z ), ! X = Z }.
% 0.81/1.39 { ! alpha5( X, Y, Z ), ! X = Y }.
% 0.81/1.39 { rR( X, Y, Z ), X = Z, X = Y, alpha5( X, Y, Z ) }.
% 0.81/1.39 { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 0.81/1.39 ( X, Y ) }.
% 0.81/1.39 { ! rcenter( X, Y ), rinside( X, Y ) }.
% 0.81/1.39 { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 0.81/1.39 { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, !
% 0.81/1.39 rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 0.81/1.39 V1, ! rpoint( V1 ), X = Y }.
% 0.81/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol10( V3, V4, V5, V6
% 0.81/1.39 ) ) }.
% 0.81/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol10( X, V3, V4, V5 ), X
% 0.81/1.39 ) }.
% 0.81/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha6( Y, Z, T, skol10( X, Y,
% 0.81/1.39 Z, T ) ) }.
% 0.81/1.39 { ! alpha6( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 0.81/1.39 { ! alpha6( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.39 { rS( T, Z, Y ), ! ron( T, X ), alpha6( X, Y, Z, T ) }.
% 0.81/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol11( V3, V4, V5, V6
% 0.81/1.39 ) ) }.
% 0.81/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol11( X, V3, V4, V5 ), X
% 0.81/1.39 ) }.
% 0.81/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha7( Y, Z, T, skol11( X, Y,
% 0.81/1.39 Z, T ) ) }.
% 0.81/1.39 { ! alpha7( X, Y, Z, T ), rS( T, Z, Y ) }.
% 0.81/1.39 { ! alpha7( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.39 { ! rS( T, Z, Y ), ! ron( T, X ), alpha7( X, Y, Z, T ) }.
% 0.81/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.39 alpha23( X, Y, skol12( X, Y ), skol48( X, Y ) ) }.
% 0.81/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.39 rpoint( skol12( X, Y ) ) }.
% 0.81/1.39 { ! alpha23( X, Y, Z, T ), alpha30( X, Y, Z, T ) }.
% 0.81/1.39 { ! alpha23( X, Y, Z, T ), ron( Z, X ) }.
% 0.81/1.39 { ! alpha30( X, Y, Z, T ), ! ron( Z, X ), alpha23( X, Y, Z, T ) }.
% 0.81/1.39 { ! alpha30( X, Y, Z, T ), alpha36( X, Y, Z, T ) }.
% 0.81/1.39 { ! alpha30( X, Y, Z, T ), ron( Z, Y ) }.
% 0.81/1.39 { ! alpha36( X, Y, Z, T ), ! ron( Z, Y ), alpha30( X, Y, Z, T ) }.
% 0.81/1.39 { ! alpha36( X, Y, Z, T ), alpha8( Y, Z, T ) }.
% 0.81/1.39 { ! alpha36( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.39 { ! alpha36( X, Y, Z, T ), rpoint( T ) }.
% 0.81/1.39 { ! alpha8( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha36( X, Y, Z, T )
% 0.81/1.39 }.
% 0.81/1.39 { ! alpha8( X, Y, Z ), ! Y = Z }.
% 0.81/1.39 { ! alpha8( X, Y, Z ), ron( Z, X ) }.
% 0.81/1.39 { Y = Z, ! ron( Z, X ), alpha8( X, Y, Z ) }.
% 0.81/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.39 rpoint( skol13( U, W ) ) }.
% 0.81/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.39 ron( skol13( U, Y ), Y ) }.
% 0.81/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.39 ron( skol13( X, Y ), X ) }.
% 0.81/1.39 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.81/1.39 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.81/1.39 rcircle( V1 ), rpoint( skol14( V2, V3, V4, V5 ) ) }.
% 0.81/1.39 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.81/1.39 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.81/1.39 rcircle( V1 ), ron( skol14( X, V2, V3, V4 ), X ) }.
% 0.81/1.39 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.81/1.39 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.81/1.39 rcircle( V1 ), alpha9( Y, Z, T, skol14( X, Y, Z, T ) ) }.
% 0.81/1.39 { ! alpha9( X, Y, Z, T ), rR( Y, T, Z ) }.
% 0.81/1.39 { ! alpha9( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.39 { ! rR( Y, T, Z ), ! ron( T, X ), alpha9( X, Y, Z, T ) }.
% 0.81/1.39 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.81/1.39 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.81/1.39 ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol15( V2, V3, V4, V5 ) ) }.
% 0.81/1.39 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.81/1.39 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.81/1.39 ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol15( V2, Y, V3, V4 ), Y ) }.
% 0.81/1.39 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.81/1.39 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.81/1.39 ( V0 ), ! X = V1, ! rcircle( V1 ), alpha10( X, Z, T, skol15( X, Y, Z, T )
% 0.81/1.39 ) }.
% 0.81/1.39 { ! alpha10( X, Y, Z, T ), rR( T, Y, Z ) }.
% 0.81/1.39 { ! alpha10( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.39 { ! rR( T, Y, Z ), ! ron( T, X ), alpha10( X, Y, Z, T ) }.
% 0.81/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.39 alpha24( X, Y, skol16( X, Y ), skol49( X, Y ) ) }.
% 0.81/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.39 rpoint( skol16( X, Y ) ) }.
% 0.81/1.39 { ! alpha24( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 0.81/1.39 { ! alpha24( X, Y, Z, T ), ron( Z, Y ) }.
% 0.81/1.39 { ! alpha31( X, Y, Z, T ), ! ron( Z, Y ), alpha24( X, Y, Z, T ) }.
% 0.81/1.39 { ! alpha31( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.81/1.39 { ! alpha31( X, Y, Z, T ), ron( Z, X ) }.
% 0.81/1.39 { ! alpha37( X, Y, Z, T ), ! ron( Z, X ), alpha31( X, Y, Z, T ) }.
% 0.81/1.39 { ! alpha37( X, Y, Z, T ), alpha11( X, Z, T ) }.
% 0.81/1.39 { ! alpha37( X, Y, Z, T ), ron( T, Y ) }.
% 0.81/1.39 { ! alpha37( X, Y, Z, T ), rpoint( T ) }.
% 0.81/1.39 { ! alpha11( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha37( X, Y, Z, T )
% 0.81/1.39 }.
% 0.81/1.39 { ! alpha11( X, Y, Z ), ! Y = Z }.
% 0.81/1.39 { ! alpha11( X, Y, Z ), ron( Z, X ) }.
% 0.81/1.39 { Y = Z, ! ron( Z, X ), alpha11( X, Y, Z ) }.
% 0.81/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.39 rpoint( skol17( U, W ) ) }.
% 0.81/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.81/1.39 ( skol17( U, Y ), Y ) }.
% 0.81/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.81/1.39 ( skol17( X, Y ), X ) }.
% 0.81/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ),
% 0.81/1.39 rpoint( skol18( U, W ) ) }.
% 0.81/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.81/1.39 skol18( U, Y ), Y ) }.
% 0.81/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.81/1.39 skol18( X, Y ), X ) }.
% 0.81/1.39 { ! X = Y, ! rcircle( Y ), rpoint( skol19( Z ) ) }.
% 0.81/1.39 { ! X = Y, ! rcircle( Y ), ! rinside( skol19( X ), X ) }.
% 0.81/1.39 { ! X = Y, ! rcircle( Y ), ! ron( skol19( X ), X ) }.
% 0.81/1.39 { ! X = Y, ! rcircle( Y ), rpoint( skol20( Z ) ) }.
% 0.81/1.39 { ! X = Y, ! rcircle( Y ), rinside( skol20( X ), X ) }.
% 0.81/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.39 U ), ! X = W, ! rcircle( W ), rpoint( skol21( V0, V1, V2 ) ) }.
% 0.81/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.39 U ), ! X = W, ! rcircle( W ), ron( skol21( X, V0, V1 ), X ) }.
% 0.81/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.39 U ), ! X = W, ! rcircle( W ), alpha12( Y, Z, skol21( X, Y, Z ) ) }.
% 0.81/1.39 { ! alpha12( X, Y, Z ), ! Z = Y }.
% 0.81/1.39 { ! alpha12( X, Y, Z ), ! Z = X }.
% 0.81/1.39 { Z = Y, Z = X, alpha12( X, Y, Z ) }.
% 0.81/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint(
% 0.81/1.39 skol22( U, W ) ) }.
% 0.81/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol22
% 0.81/1.39 ( U, Y ) = Y }.
% 0.81/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron(
% 0.81/1.39 skol22( X, Y ), X ) }.
% 0.81/1.39 { ! X = Y, ! rcircle( Y ), rpoint( skol23( Z ) ) }.
% 0.81/1.39 { ! X = Y, ! rcircle( Y ), ron( skol23( X ), X ) }.
% 0.81/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.81/1.39 skol24( U, W ) ) }.
% 0.81/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol24
% 0.81/1.39 ( X, Y ), Y, X ) }.
% 0.81/1.39 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.81/1.39 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.81/1.39 rpoint( skol25( V2, V3, V4, V5 ) ) }.
% 0.81/1.39 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.81/1.39 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.81/1.39 rS( skol25( X, Y, V2, V3 ), Y, X ) }.
% 0.81/1.39 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.81/1.39 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.81/1.39 alpha25( Y, Z, T, skol25( X, Y, Z, T ) ) }.
% 0.81/1.39 { ! alpha25( X, Y, Z, T ), alpha13( Y, Z, T ) }.
% 0.81/1.39 { ! alpha25( X, Y, Z, T ), ! T = X }.
% 0.81/1.39 { ! alpha13( Y, Z, T ), T = X, alpha25( X, Y, Z, T ) }.
% 0.81/1.39 { ! alpha13( X, Y, Z ), ! Z = Y }.
% 0.81/1.39 { ! alpha13( X, Y, Z ), ! Z = X }.
% 0.81/1.39 { Z = Y, Z = X, alpha13( X, Y, Z ) }.
% 0.81/1.39 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.81/1.39 T ), ! X = W, ! rline( W ), rpoint( skol26( V0, V1, V2 ) ) }.
% 0.81/1.39 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.81/1.39 T ), ! X = W, ! rline( W ), alpha14( Y, Z, skol26( V0, Y, Z ) ) }.
% 0.81/1.39 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.81/1.39 T ), ! X = W, ! rline( W ), rS( skol26( X, Y, Z ), Y, X ) }.
% 0.81/1.39 { ! alpha14( X, Y, Z ), ! Z = Y }.
% 0.81/1.39 { ! alpha14( X, Y, Z ), ! Z = X }.
% 0.81/1.39 { Z = Y, Z = X, alpha14( X, Y, Z ) }.
% 0.81/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.81/1.39 skol27( U, W ) ) }.
% 0.81/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol27( U,
% 0.81/1.39 Y ) = Y }.
% 0.81/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol27( X
% 0.81/1.39 , Y ), Y, X ) }.
% 0.81/1.39 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.81/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.81/1.39 rpoint( skol28( V2, V3, V4 ) ) }.
% 0.81/1.39 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.81/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.81/1.39 ! skol28( V2, V3, Z ) = Z }.
% 0.81/1.39 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.81/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.81/1.39 rR( Y, X, skol28( X, Y, Z ) ) }.
% 0.81/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.81/1.39 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol29( V0, V1 ) ) }.
% 0.81/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.81/1.39 rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol29( X, Y ) ) }.
% 0.81/1.39 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.81/1.39 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.81/1.39 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint(
% 0.81/1.39 skol30( V4, V5, V6, V7 ) ) }.
% 0.81/1.39 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.81/1.39 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.81/1.39 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha15
% 0.81/1.39 ( Z, T, skol30( V4, V5, Z, T ) ) }.
% 0.81/1.39 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.81/1.39 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.81/1.39 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR(
% 0.81/1.39 skol30( X, Y, Z, T ), X, Y ) }.
% 0.81/1.39 { ! alpha15( X, Y, Z ), ! Z = Y }.
% 0.81/1.39 { ! alpha15( X, Y, Z ), ! Z = X }.
% 0.81/1.39 { Z = Y, Z = X, alpha15( X, Y, Z ) }.
% 0.81/1.39 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.81/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.81/1.39 rpoint( skol31( V2, V3, V4 ) ) }.
% 0.81/1.39 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.81/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.81/1.39 ! skol31( V2, V3, Z ) = Z }.
% 0.81/1.39 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.81/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.81/1.39 rR( skol31( X, Y, Z ), X, Y ) }.
% 0.81/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.81/1.39 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol32( V0, V1 ) ) }.
% 0.81/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.81/1.39 rpoint( U ), ! Z = W, ! rline( W ), rR( skol32( X, Y ), X, Y ) }.
% 0.81/1.39 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.81/1.39 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.81/1.39 rpoint( skol33( V2, V3, V4 ) ) }.
% 0.81/1.39 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.81/1.39 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.81/1.39 ron( skol33( X, V2, V3 ), X ) }.
% 0.81/1.39 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.81/1.40 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.81/1.40 alpha16( Y, Z, skol33( X, Y, Z ) ) }.
% 0.81/1.40 { ! alpha16( X, Y, Z ), ! Z = Y }.
% 0.81/1.40 { ! alpha16( X, Y, Z ), ! Z = X }.
% 0.81/1.40 { Z = Y, Z = X, alpha16( X, Y, Z ) }.
% 0.81/1.40 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.40 U ), ! X = W, ! rline( W ), rpoint( skol34( V0, V1, V2 ) ) }.
% 0.81/1.40 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.40 U ), ! X = W, ! rline( W ), ron( skol34( X, V0, V1 ), X ) }.
% 0.81/1.40 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.40 U ), ! X = W, ! rline( W ), alpha17( Y, Z, skol34( X, Y, Z ) ) }.
% 0.81/1.40 { ! alpha17( X, Y, Z ), ! Z = Y }.
% 0.81/1.40 { ! alpha17( X, Y, Z ), ! Z = X }.
% 0.81/1.40 { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 0.81/1.40 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.81/1.40 skol35( U, W ) ) }.
% 0.81/1.40 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol35( U
% 0.81/1.40 , Y ) = Y }.
% 0.81/1.40 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol35
% 0.81/1.40 ( X, Y ), X ) }.
% 0.81/1.40 { ! X = Y, ! rline( Y ), rpoint( skol36( Z ) ) }.
% 0.81/1.40 { ! X = Y, ! rline( Y ), ron( skol36( X ), X ) }.
% 0.81/1.40 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.81/1.40 , ! X = V1, ! rpoint( V1 ), rpoint( skol37( V2, V3, V4, V5 ) ) }.
% 0.81/1.40 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.81/1.40 , ! X = V1, ! rpoint( V1 ), ! skol37( X, V2, V3, V4 ) = X }.
% 0.81/1.40 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.81/1.40 , ! X = V1, ! rpoint( V1 ), alpha26( Y, Z, T, skol37( X, Y, Z, T ) ) }.
% 0.81/1.40 { ! alpha26( X, Y, Z, T ), alpha18( Y, Z, T ) }.
% 0.81/1.40 { ! alpha26( X, Y, Z, T ), ! T = X }.
% 0.81/1.40 { ! alpha18( Y, Z, T ), T = X, alpha26( X, Y, Z, T ) }.
% 0.81/1.40 { ! alpha18( X, Y, Z ), ! Z = Y }.
% 0.81/1.40 { ! alpha18( X, Y, Z ), ! Z = X }.
% 0.81/1.40 { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 0.81/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.40 rpoint( skol38( V0, V1, V2 ) ) }.
% 0.81/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 0.81/1.40 skol38( X, V0, V1 ) = X }.
% 0.81/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.40 alpha19( Y, Z, skol38( X, Y, Z ) ) }.
% 0.81/1.40 { ! alpha19( X, Y, Z ), ! Z = Y }.
% 0.81/1.40 { ! alpha19( X, Y, Z ), ! Z = X }.
% 0.81/1.40 { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 0.81/1.40 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol39( U, W ) )
% 0.81/1.40 }.
% 0.81/1.40 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol39( U, Y ) = Y }.
% 0.81/1.40 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol39( X, Y ) = X }.
% 0.81/1.40 { ! X = Y, ! rpoint( Y ), rpoint( skol40( Z ) ) }.
% 0.81/1.40 { ! X = Y, ! rpoint( Y ), ! skol40( X ) = X }.
% 0.81/1.40 { rpoint( vd14 ) }.
% 0.81/1.40 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha38( X, Y, Z ) }.
% 0.81/1.40 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha32( X ) }.
% 0.81/1.40 { ! alpha38( X, Y, Z ), alpha41( X, Y, Z ) }.
% 0.81/1.40 { ! alpha38( X, Y, Z ), alpha27( Y ) }.
% 0.81/1.40 { ! alpha41( X, Y, Z ), ! alpha27( Y ), alpha38( X, Y, Z ) }.
% 0.81/1.40 { ! alpha41( X, Y, Z ), alpha43( X, Y, Z ) }.
% 0.81/1.40 { ! alpha41( X, Y, Z ), alpha20( Z ) }.
% 0.81/1.40 { ! alpha43( X, Y, Z ), ! alpha20( Z ), alpha41( X, Y, Z ) }.
% 0.81/1.40 { ! alpha43( X, Y, Z ), ! Y = Z }.
% 0.81/1.40 { ! alpha43( X, Y, Z ), ! X = Z }.
% 0.81/1.40 { ! alpha43( X, Y, Z ), ! X = Y }.
% 0.81/1.40 { Y = Z, X = Z, X = Y, alpha43( X, Y, Z ) }.
% 0.81/1.40 { ! alpha32( X ), rpoint( skol41( Y ) ) }.
% 0.81/1.40 { ! alpha32( X ), X = skol41( X ) }.
% 0.81/1.40 { ! X = Y, ! rpoint( Y ), alpha32( X ) }.
% 0.81/1.40 { ! alpha27( X ), rpoint( skol42( Y ) ) }.
% 0.81/1.40 { ! alpha27( X ), X = skol42( X ) }.
% 0.81/1.40 { ! X = Y, ! rpoint( Y ), alpha27( X ) }.
% 0.81/1.40 { ! alpha20( X ), rpoint( skol43( Y ) ) }.
% 0.81/1.40 { ! alpha20( X ), X = skol43( X ) }.
% 0.81/1.40 { ! X = Y, ! rpoint( Y ), alpha20( X ) }.
% 0.81/1.40 { ! rcenter( X, Y ), rcircle( skol44( Z, T ) ) }.
% 0.81/1.40 { ! rcenter( X, Y ), Y = skol44( Z, Y ) }.
% 0.81/1.40 { ! rcenter( X, Y ), alpha21( X ) }.
% 0.81/1.40 { ! alpha21( X ), rpoint( skol45( Y ) ) }.
% 0.81/1.40 { ! alpha21( X ), X = skol45( X ) }.
% 0.81/1.40 { ! X = Y, ! rpoint( Y ), alpha21( X ) }.
% 0.81/1.40
% 0.81/1.40 *** allocated 15000 integers for clauses
% 0.81/1.40 *** allocated 22500 integers for clauses
% 0.81/1.40 percentage equality = 0.366171, percentage horn = 0.744048
% 0.81/1.40 This is a problem with some equality
% 0.81/1.40
% 0.81/1.40
% 0.81/1.40
% 0.81/1.40 Options Used:
% 0.81/1.40
% 0.81/1.40 useres = 1
% 0.81/1.40 useparamod = 1
% 0.81/1.40 useeqrefl = 1
% 0.81/1.40 useeqfact = 1
% 0.81/1.40 usefactor = 1
% 0.81/1.40 usesimpsplitting = 0
% 0.81/1.40 usesimpdemod = 5
% 0.81/1.40 usesimpres = 3
% 0.81/1.40
% 0.81/1.40 resimpinuse = 1000
% 0.81/1.40 resimpclauses = 20000
% 0.81/1.40 substype = eqrewr
% 0.81/1.40 backwardsubs = 1
% 0.81/1.40 selectoldest = 5
% 0.81/1.40
% 0.81/1.40 litorderings [0] = split
% 0.81/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.40
% 0.81/1.40 termordering = kbo
% 0.81/1.40
% 0.81/1.40 litapriori = 0
% 0.81/1.40 termapriori = 1
% 0.81/1.40 litaposteriori = 0
% 0.81/1.40 termaposteriori = 0
% 0.81/1.40 demodaposteriori = 0
% 0.81/1.40 ordereqreflfact = 0
% 0.81/1.40
% 0.81/1.40 litselect = negord
% 0.81/1.40
% 0.81/1.40 maxweight = 15
% 0.81/1.40 maxdepth = 30000
% 0.81/1.40 maxlength = 115
% 0.81/1.40 maxnrvars = 195
% 0.81/1.40 excuselevel = 1
% 0.81/1.40 increasemaxweight = 1
% 0.81/1.40
% 0.81/1.40 maxselected = 10000000
% 0.81/1.40 maxnrclauses = 10000000
% 0.81/1.40
% 0.81/1.40 showgenerated = 0
% 0.81/1.40 showkept = 0
% 0.81/1.40 showselected = 0
% 0.81/1.40 showdeleted = 0
% 0.81/1.40 showresimp = 1
% 0.81/1.40 showstatus = 2000
% 0.81/1.40
% 0.81/1.40 prologoutput = 0
% 0.81/1.40 nrgoals = 5000000
% 0.81/1.40 totalproof = 1
% 0.81/1.40
% 0.81/1.40 Symbols occurring in the translation:
% 0.81/1.40
% 0.81/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.40 . [1, 2] (w:1, o:769, a:1, s:1, b:0),
% 0.81/1.40 ! [4, 1] (w:0, o:745, a:1, s:1, b:0),
% 0.81/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.40 vd1055 [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.81/1.40 ron [37, 2] (w:1, o:793, a:1, s:1, b:0),
% 0.81/1.40 vd1057 [38, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.81/1.40 rcenter [39, 2] (w:1, o:794, a:1, s:1, b:0),
% 0.81/1.40 rcircle [40, 1] (w:1, o:750, a:1, s:1, b:0),
% 0.81/1.40 vd1063 [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.81/1.40 vd1060 [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.81/1.40 vskolem1061 [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.81/1.40 vd1058 [44, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.81/1.40 rpoint [45, 1] (w:1, o:751, a:1, s:1, b:0),
% 0.81/1.40 vd1056 [46, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.81/1.40 vf [58, 2] (w:1, o:795, a:1, s:1, b:0),
% 0.81/1.40 rS [87, 3] (w:1, o:826, a:1, s:1, b:0),
% 0.81/1.40 rR [88, 3] (w:1, o:825, a:1, s:1, b:0),
% 0.81/1.40 vangle [89, 3] (w:1, o:827, a:1, s:1, b:0),
% 0.81/1.40 rline [90, 1] (w:1, o:752, a:1, s:1, b:0),
% 0.81/1.40 vg [117, 3] (w:1, o:828, a:1, s:1, b:0),
% 0.81/1.40 vplus [118, 2] (w:1, o:796, a:1, s:1, b:0),
% 0.81/1.40 v0 [127, 0] (w:1, o:738, a:1, s:1, b:0),
% 0.81/1.40 rreal [135, 1] (w:1, o:753, a:1, s:1, b:0),
% 0.81/1.40 vperp [144, 0] (w:1, o:739, a:1, s:1, b:0),
% 0.81/1.40 rless [145, 2] (w:1, o:797, a:1, s:1, b:0),
% 0.81/1.40 rintersect [154, 2] (w:1, o:799, a:1, s:1, b:0),
% 0.81/1.40 rinside [205, 2] (w:1, o:798, a:1, s:1, b:0),
% 0.81/1.40 rgeq [236, 2] (w:1, o:800, a:1, s:1, b:0),
% 0.81/1.40 rleq [247, 2] (w:1, o:801, a:1, s:1, b:0),
% 0.81/1.40 vd684 [315, 0] (w:1, o:740, a:1, s:1, b:0),
% 0.81/1.40 vd14 [778, 0] (w:1, o:742, a:1, s:1, b:0),
% 0.81/1.40 vtriangle [783, 3] (w:1, o:829, a:1, s:1, b:0),
% 0.81/1.40 rtriangle [784, 1] (w:1, o:754, a:1, s:1, b:0),
% 0.81/1.40 alpha1 [792, 4] (w:1, o:852, a:1, s:1, b:1),
% 0.81/1.40 alpha2 [793, 2] (w:1, o:802, a:1, s:1, b:1),
% 0.81/1.40 alpha3 [794, 2] (w:1, o:803, a:1, s:1, b:1),
% 0.81/1.40 alpha4 [795, 2] (w:1, o:804, a:1, s:1, b:1),
% 0.81/1.40 alpha5 [796, 3] (w:1, o:832, a:1, s:1, b:1),
% 0.81/1.40 alpha6 [797, 4] (w:1, o:853, a:1, s:1, b:1),
% 0.81/1.40 alpha7 [798, 4] (w:1, o:854, a:1, s:1, b:1),
% 0.81/1.40 alpha8 [799, 3] (w:1, o:833, a:1, s:1, b:1),
% 0.81/1.40 alpha9 [800, 4] (w:1, o:855, a:1, s:1, b:1),
% 0.81/1.40 alpha10 [801, 4] (w:1, o:856, a:1, s:1, b:1),
% 0.81/1.40 alpha11 [802, 3] (w:1, o:834, a:1, s:1, b:1),
% 0.81/1.40 alpha12 [803, 3] (w:1, o:835, a:1, s:1, b:1),
% 0.81/1.40 alpha13 [804, 3] (w:1, o:836, a:1, s:1, b:1),
% 0.81/1.40 alpha14 [805, 3] (w:1, o:837, a:1, s:1, b:1),
% 0.81/1.40 alpha15 [806, 3] (w:1, o:838, a:1, s:1, b:1),
% 0.81/1.40 alpha16 [807, 3] (w:1, o:839, a:1, s:1, b:1),
% 0.81/1.40 alpha17 [808, 3] (w:1, o:840, a:1, s:1, b:1),
% 0.81/1.40 alpha18 [809, 3] (w:1, o:841, a:1, s:1, b:1),
% 0.81/1.40 alpha19 [810, 3] (w:1, o:842, a:1, s:1, b:1),
% 0.81/1.40 alpha20 [811, 1] (w:1, o:755, a:1, s:1, b:1),
% 0.81/1.40 alpha21 [812, 1] (w:1, o:756, a:1, s:1, b:1),
% 0.81/1.40 alpha22 [813, 6] (w:1, o:872, a:1, s:1, b:1),
% 0.81/1.40 alpha23 [814, 4] (w:1, o:857, a:1, s:1, b:1),
% 0.81/1.40 alpha24 [815, 4] (w:1, o:858, a:1, s:1, b:1),
% 0.81/1.40 alpha25 [816, 4] (w:1, o:859, a:1, s:1, b:1),
% 0.81/1.40 alpha26 [817, 4] (w:1, o:860, a:1, s:1, b:1),
% 0.81/1.40 alpha27 [818, 1] (w:1, o:757, a:1, s:1, b:1),
% 0.81/1.40 alpha28 [819, 7] (w:1, o:878, a:1, s:1, b:1),
% 0.81/1.40 alpha29 [820, 6] (w:1, o:873, a:1, s:1, b:1),
% 0.81/1.40 alpha30 [821, 4] (w:1, o:861, a:1, s:1, b:1),
% 0.81/1.40 alpha31 [822, 4] (w:1, o:862, a:1, s:1, b:1),
% 0.81/1.40 alpha32 [823, 1] (w:1, o:758, a:1, s:1, b:1),
% 0.81/1.40 alpha33 [824, 10] (w:1, o:883, a:1, s:1, b:1),
% 0.81/1.40 alpha34 [825, 7] (w:1, o:879, a:1, s:1, b:1),
% 0.81/1.40 alpha35 [826, 6] (w:1, o:874, a:1, s:1, b:1),
% 0.81/1.40 alpha36 [827, 4] (w:1, o:863, a:1, s:1, b:1),
% 0.81/1.40 alpha37 [828, 4] (w:1, o:864, a:1, s:1, b:1),
% 0.81/1.40 alpha38 [829, 3] (w:1, o:843, a:1, s:1, b:1),
% 0.81/1.40 alpha39 [830, 7] (w:1, o:880, a:1, s:1, b:1),
% 0.81/1.40 alpha40 [831, 6] (w:1, o:875, a:1, s:1, b:1),
% 0.81/1.40 alpha41 [832, 3] (w:1, o:830, a:1, s:1, b:1),
% 0.81/1.40 alpha42 [833, 6] (w:1, o:876, a:1, s:1, b:1),
% 0.81/1.40 alpha43 [834, 3] (w:1, o:831, a:1, s:1, b:1),
% 0.81/1.40 skol1 [835, 0] (w:1, o:744, a:1, s:1, b:1),
% 0.81/1.40 skol2 [836, 2] (w:1, o:810, a:1, s:1, b:1),
% 0.81/1.40 skol3 [837, 7] (w:1, o:881, a:1, s:1, b:1),
% 0.81/1.40 skol4 [838, 6] (w:1, o:877, a:1, s:1, b:1),
% 0.81/1.40 skol5 [839, 3] (w:1, o:844, a:1, s:1, b:1),
% 0.81/1.40 skol6 [840, 2] (w:1, o:811, a:1, s:1, b:1),
% 0.81/1.40 skol7 [841, 2] (w:1, o:812, a:1, s:1, b:1),
% 0.81/1.40 skol8 [842, 2] (w:1, o:813, a:1, s:1, b:1),
% 0.81/1.40 skol9 [843, 2] (w:1, o:814, a:1, s:1, b:1),
% 0.81/1.40 skol10 [844, 4] (w:1, o:865, a:1, s:1, b:1),
% 0.81/1.40 skol11 [845, 4] (w:1, o:866, a:1, s:1, b:1),
% 0.81/1.40 skol12 [846, 2] (w:1, o:805, a:1, s:1, b:1),
% 0.81/1.40 skol13 [847, 2] (w:1, o:806, a:1, s:1, b:1),
% 0.81/1.40 skol14 [848, 4] (w:1, o:867, a:1, s:1, b:1),
% 0.81/1.40 skol15 [849, 4] (w:1, o:868, a:1, s:1, b:1),
% 0.81/1.40 skol16 [850, 2] (w:1, o:807, a:1, s:1, b:1),
% 0.81/1.40 skol17 [851, 2] (w:1, o:808, a:1, s:1, b:1),
% 0.81/1.40 skol18 [852, 2] (w:1, o:809, a:1, s:1, b:1),
% 0.81/1.40 skol19 [853, 1] (w:1, o:759, a:1, s:1, b:1),
% 0.81/1.40 skol20 [854, 1] (w:1, o:760, a:1, s:1, b:1),
% 0.81/1.40 skol21 [855, 3] (w:1, o:845, a:1, s:1, b:1),
% 0.81/1.40 skol22 [856, 2] (w:1, o:815, a:1, s:1, b:1),
% 0.81/1.40 skol23 [857, 1] (w:1, o:761, a:1, s:1, b:1),
% 0.81/1.40 skol24 [858, 2] (w:1, o:816, a:1, s:1, b:1),
% 0.81/1.40 skol25 [859, 4] (w:1, o:869, a:1, s:1, b:1),
% 0.81/1.40 skol26 [860, 3] (w:1, o:846, a:1, s:1, b:1),
% 0.81/1.40 skol27 [861, 2] (w:1, o:817, a:1, s:1, b:1),
% 0.81/1.40 skol28 [862, 3] (w:1, o:847, a:1, s:1, b:1),
% 0.81/1.40 skol29 [863, 2] (w:1, o:818, a:1, s:1, b:1),
% 0.81/1.40 skol30 [864, 4] (w:1, o:870, a:1, s:1, b:1),
% 0.81/1.40 skol31 [865, 3] (w:1, o:848, a:1, s:1, b:1),
% 0.81/1.40 skol32 [866, 2] (w:1, o:819, a:1, s:1, b:1),
% 0.81/1.40 skol33 [867, 3] (w:1, o:849, a:1, s:1, b:1),
% 0.81/1.40 skol34 [868, 3] (w:1, o:850, a:1, s:1, b:1),
% 0.81/1.40 skol35 [869, 2] (w:1, o:820, a:1, s:1, b:1),
% 0.81/1.40 skol36 [870, 1] (w:1, o:762, a:1, s:1, b:1),
% 0.81/1.40 skol37 [871, 4] (w:1, o:871, a:1, s:1, b:1),
% 0.81/1.40 skol38 [872, 3] (w:1, o:851, a:1, s:1, b:1),
% 0.81/1.40 skol39 [873, 2] (w:1, o:821, a:1, s:1, b:1),
% 0.81/1.40 skol40 [874, 1] (w:1, o:763, a:1, s:1, b:1),
% 0.81/1.40 skol41 [875, 1] (w:1, o:764, a:1, s:1, b:1),
% 0.81/1.40 skol42 [876, 1] (w:1, o:765, a:1, s:1, b:1),
% 0.81/1.40 skol43 [877, 1] (w:1, o:766, a:1, s:1, b:1),
% 0.81/1.40 skol44 [878, 2] (w:1, o:822, a:1, s:1, b:1),
% 0.81/1.40 skol45 [879, 1] (w:1, o:767, a:1, s:1, b:1),
% 0.81/1.40 skol46 [880, 7] (w:1, o:882, a:1, s:1, b:1),
% 0.81/1.40 skol47 [881, 1] (w:1, o:768, a:1, s:1, b:1),
% 0.81/1.40 skol48 [882, 2] (w:1, o:823, a:1, s:1, b:1),
% 0.81/1.40 skol49 [883, 2] (w:1, o:824, a:1, s:1, b:1).
% 0.81/1.40
% 0.81/1.40
% 0.81/1.40 Starting Search:
% 0.81/1.40
% 0.81/1.40 matchinglists is full
% 0.81/1.40
% 0.81/1.40 Memory use:
% 0.81/1.40
% 0.81/1.40 space for terms: 27001
% 0.81/1.40 space for clauses: 20329
% 0.81/1.40
% 0.81/1.40
% 0.81/1.40 clauses generated: 435
% 0.81/1.40 clauses kept: 362
% 0.81/1.40 clauses selected: 0
% 0.81/1.40 clauses deleted: 0
% 0.81/1.40 clauses inuse deleted: 0
% 0.81/1.40
% 0.81/1.40 subsentry: 253
% 0.81/1.40 literals s-matched: 111
% 0.81/1.40 literals matched: 91
% 0.81/1.40 full subsumption: 88
% 0.81/1.40
% 0.81/1.40 checksum: 406631391
% 0.81/1.40
% 0.81/1.40
% 0.81/1.40 Bliksem ended
%------------------------------------------------------------------------------