TSTP Solution File: GEO276+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO276+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 02:53:29 EDT 2022
% Result : Unknown 1.02s 1.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO276+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Fri Jun 17 23:13:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.02/1.38 *** allocated 10000 integers for termspace/termends
% 1.02/1.38 *** allocated 10000 integers for clauses
% 1.02/1.38 *** allocated 10000 integers for justifications
% 1.02/1.38 Bliksem 1.12
% 1.02/1.38
% 1.02/1.38
% 1.02/1.38 Automatic Strategy Selection
% 1.02/1.38
% 1.02/1.38 *** allocated 15000 integers for termspace/termends
% 1.02/1.38 *** allocated 22500 integers for termspace/termends
% 1.02/1.38 *** allocated 33750 integers for termspace/termends
% 1.02/1.38 *** allocated 50625 integers for termspace/termends
% 1.02/1.38
% 1.02/1.38 Clauses:
% 1.02/1.38
% 1.02/1.38 { ! rR( vd1080, vd1089, X ), ! ron( X, vd1091 ), ! ron( X, vd1094 ), !
% 1.02/1.38 rpoint( X ) }.
% 1.02/1.38 { vd1094 = vskolem1095 }.
% 1.02/1.38 { ! ron( vd1081, X ), ! rcenter( vd1080, X ), ! rcircle( X ), X =
% 1.02/1.38 vskolem1095 }.
% 1.02/1.38 { ron( vd1081, vskolem1095 ) }.
% 1.02/1.38 { rcenter( vd1080, vskolem1095 ) }.
% 1.02/1.38 { rcircle( vskolem1095 ) }.
% 1.02/1.38 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 1.02/1.38 , ! rpoint( W ), alpha1( X, Y, Z ) }.
% 1.02/1.38 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 1.02/1.38 , ! rpoint( W ), rR( Y, Z, X ) }.
% 1.02/1.38 { ! alpha1( X, Y, Z ), ! rR( X, Y, Z ) }.
% 1.02/1.38 { ! alpha1( X, Y, Z ), ! X = Z }.
% 1.02/1.38 { ! alpha1( X, Y, Z ), ! X = Y }.
% 1.02/1.38 { rR( X, Y, Z ), X = Z, X = Y, alpha1( X, Y, Z ) }.
% 1.02/1.38 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 1.02/1.38 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 1.02/1.38 rcircle( V1 ), rpoint( skol1( V2, V3, V4, V5 ) ) }.
% 1.02/1.38 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 1.02/1.38 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 1.02/1.38 rcircle( V1 ), ron( skol1( X, V2, V3, V4 ), X ) }.
% 1.02/1.38 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 1.02/1.38 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 1.02/1.38 rcircle( V1 ), alpha2( Y, Z, T, skol1( X, Y, Z, T ) ) }.
% 1.02/1.38 { ! alpha2( X, Y, Z, T ), rR( Y, T, Z ) }.
% 1.02/1.38 { ! alpha2( X, Y, Z, T ), ron( T, X ) }.
% 1.02/1.38 { ! rR( Y, T, Z ), ! ron( T, X ), alpha2( X, Y, Z, T ) }.
% 1.02/1.38 { vd1081 = skol2 }.
% 1.02/1.38 { rpoint( skol2 ) }.
% 1.02/1.38 { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 1.02/1.38 ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ),
% 1.02/1.38 X = Y }.
% 1.02/1.38 { vd1091 = vskolem1092 }.
% 1.02/1.38 { ! ron( vd1089, X ), ! ron( vd1080, X ), ! rline( X ), X = vskolem1092 }.
% 1.02/1.38 { ron( vd1089, vskolem1092 ) }.
% 1.02/1.38 { ron( vd1080, vskolem1092 ) }.
% 1.02/1.38 { rline( vskolem1092 ) }.
% 1.02/1.38 { ! vd1080 = vd1081 }.
% 1.02/1.38 { vd1080 = skol3 }.
% 1.02/1.38 { rpoint( skol3 ) }.
% 1.02/1.38 { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 1.02/1.38 ( X, Y ) }.
% 1.02/1.38 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 1.02/1.38 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 1.02/1.38 ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol4( V2, V3, V4, V5 ) ) }.
% 1.02/1.38 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 1.02/1.38 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 1.02/1.38 ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol4( V2, Y, V3, V4 ), Y ) }.
% 1.02/1.38 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 1.02/1.38 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 1.02/1.38 ( V0 ), ! X = V1, ! rcircle( V1 ), alpha3( X, Z, T, skol4( X, Y, Z, T ) )
% 1.02/1.38 }.
% 1.02/1.38 { ! alpha3( X, Y, Z, T ), rR( T, Y, Z ) }.
% 1.02/1.38 { ! alpha3( X, Y, Z, T ), ron( T, X ) }.
% 1.02/1.38 { ! rR( T, Y, Z ), ! ron( T, X ), alpha3( X, Y, Z, T ) }.
% 1.02/1.38 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol5( U
% 1.02/1.38 , W ) ) }.
% 1.02/1.38 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol5( U,
% 1.02/1.38 Y ) ) }.
% 1.02/1.38 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol5
% 1.02/1.38 ( X, Y ) ) }.
% 1.02/1.38 { vf( vd1089, vd1080 ) = vf( vd1085, vd1080 ) }.
% 1.02/1.38 { vf( vd1089, vd1085 ) = vf( vd1089, vd1080 ) }.
% 1.02/1.38 { rpoint( vd1089 ) }.
% 1.02/1.38 { vd1085 = vd1086 }.
% 1.02/1.38 { ! vd1085 = vd1081 }.
% 1.02/1.38 { ! vd1085 = vd1080 }.
% 1.02/1.38 { rpoint( vd1086 ) }.
% 1.02/1.38 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( Z, vskolem1052
% 1.02/1.38 ( X, Y, Z, T ) ) = vf( vskolem1052( X, Y, Z, T ), X ) }.
% 1.02/1.38 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( X, Z ) = vf( Z
% 1.02/1.38 , vskolem1052( X, Y, Z, T ) ) }.
% 1.02/1.38 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), rpoint(
% 1.02/1.38 vskolem1052( X, Y, Z, T ) ) }.
% 1.02/1.38 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 1.02/1.38 .
% 1.02/1.38 { ! rcenter( X, Y ), rinside( X, Y ) }.
% 1.02/1.38 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 1.02/1.38 alpha22( X, Y, skol6( X, Y ), skol47( X, Y ) ) }.
% 1.02/1.38 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 1.02/1.38 rpoint( skol6( X, Y ) ) }.
% 1.02/1.38 { ! alpha22( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 1.02/1.38 { ! alpha22( X, Y, Z, T ), ron( Z, Y ) }.
% 1.02/1.38 { ! alpha28( X, Y, Z, T ), ! ron( Z, Y ), alpha22( X, Y, Z, T ) }.
% 1.02/1.38 { ! alpha28( X, Y, Z, T ), alpha33( X, Y, Z, T ) }.
% 1.02/1.38 { ! alpha28( X, Y, Z, T ), ron( Z, X ) }.
% 1.02/1.38 { ! alpha33( X, Y, Z, T ), ! ron( Z, X ), alpha28( X, Y, Z, T ) }.
% 1.02/1.38 { ! alpha33( X, Y, Z, T ), alpha4( X, Z, T ) }.
% 1.02/1.38 { ! alpha33( X, Y, Z, T ), ron( T, Y ) }.
% 1.02/1.38 { ! alpha33( X, Y, Z, T ), rpoint( T ) }.
% 1.02/1.38 { ! alpha4( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha33( X, Y, Z, T )
% 1.02/1.38 }.
% 1.02/1.38 { ! alpha4( X, Y, Z ), ! Y = Z }.
% 1.02/1.38 { ! alpha4( X, Y, Z ), ron( Z, X ) }.
% 1.02/1.38 { Y = Z, ! ron( Z, X ), alpha4( X, Y, Z ) }.
% 1.02/1.38 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 1.02/1.38 }.
% 1.02/1.38 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 1.02/1.38 }.
% 1.02/1.38 { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, !
% 1.02/1.38 rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 1.02/1.38 V1, ! rpoint( V1 ), X = Y }.
% 1.02/1.38 { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 1.02/1.38 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 1.02/1.38 rpoint( skol7( U, W ) ) }.
% 1.02/1.38 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 1.02/1.38 ( skol7( U, Y ), Y ) }.
% 1.02/1.38 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 1.02/1.38 ( skol7( X, Y ), X ) }.
% 1.02/1.38 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol8( U, W
% 1.02/1.38 ) ) }.
% 1.02/1.38 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol8( U,
% 1.02/1.38 Y ) ) }.
% 1.02/1.38 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol8( X,
% 1.02/1.38 Y ) ) }.
% 1.02/1.38 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 1.02/1.38 , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 1.02/1.38 { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 1.02/1.38 ( U ), ! X = W, ! rreal( W ), X = Y }.
% 1.02/1.38 { ! V4 = V5, alpha29( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 1.02/1.38 ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 1.02/1.38 , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 1.02/1.38 rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 1.02/1.38 T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, !
% 1.02/1.38 rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ),
% 1.02/1.38 ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 =
% 1.02/1.38 V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), !
% 1.02/1.38 V6 = V27, ! rpoint( V27 ), alpha34( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 1.02/1.38 .
% 1.02/1.38 { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 1.02/1.38 ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 1.02/1.38 ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 1.02/1.38 , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 1.02/1.38 ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, !
% 1.02/1.38 rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), !
% 1.02/1.38 V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, !
% 1.02/1.38 rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), !
% 1.02/1.38 V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha34( X, Y, Z
% 1.02/1.38 , T, U, W, V0, V1, V2, V3 ) }.
% 1.02/1.38 { ! alpha34( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) =
% 1.02/1.38 vangle( V1, V2, V3 ) }.
% 1.02/1.38 { ! alpha34( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 1.02/1.38 .
% 1.02/1.38 { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ),
% 1.02/1.38 alpha34( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 1.02/1.38 { ! alpha29( X, Y, Z, T, U, W, V0 ), rS( skol9( X, V1, V2, V3, V4, V5, V0 )
% 1.02/1.38 , V0, X ) }.
% 1.02/1.38 { ! alpha29( X, Y, Z, T, U, W, V0 ), alpha5( X, U, W, skol48( X, V1, V2, V3
% 1.02/1.38 , U, W, V4 ) ) }.
% 1.02/1.38 { ! alpha29( X, Y, Z, T, U, W, V0 ), alpha23( Y, Z, T, U, skol9( X, Y, Z, T
% 1.02/1.38 , U, W, V0 ), skol48( X, Y, Z, T, U, W, V0 ) ) }.
% 1.02/1.38 { ! rS( V1, V0, X ), ! alpha5( X, U, W, V2 ), ! alpha23( Y, Z, T, U, V1, V2
% 1.02/1.38 ), alpha29( X, Y, Z, T, U, W, V0 ) }.
% 1.02/1.38 { ! alpha23( X, Y, Z, T, U, W ), rpoint( skol10( V0, V1, V2, V3, V4, V5 ) )
% 1.02/1.38 }.
% 1.02/1.38 { ! alpha23( X, Y, Z, T, U, W ), alpha35( X, Y, Z, T, U, W, skol10( X, Y, Z
% 1.02/1.38 , T, U, W ) ) }.
% 1.02/1.38 { ! alpha35( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha23( X, Y, Z, T, U
% 1.02/1.38 , W ) }.
% 1.02/1.38 { ! alpha35( X, Y, Z, T, U, W, V0 ), alpha39( X, Y, Z, T, U, W, V0 ) }.
% 1.02/1.38 { ! alpha35( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 1.02/1.38 { ! alpha39( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha35( X, Y, Z, T, U
% 1.02/1.38 , W, V0 ) }.
% 1.02/1.38 { ! alpha39( X, Y, Z, T, U, W, V0 ), alpha30( X, Y, Z, U, W, V0 ) }.
% 1.02/1.38 { ! alpha39( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 1.02/1.38 { ! alpha39( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 1.02/1.38 { ! alpha30( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha39( X, Y, Z
% 1.02/1.38 , T, U, W, V0 ) }.
% 1.02/1.38 { ! alpha30( X, Y, Z, T, U, W ), alpha36( X, Y, Z, T, U, W ) }.
% 1.02/1.38 { ! alpha30( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 1.02/1.38 { ! alpha36( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ),
% 1.02/1.38 alpha30( X, Y, Z, T, U, W ) }.
% 1.02/1.38 { ! alpha36( X, Y, Z, T, U, W ), alpha40( X, Y, Z, T, U, W ) }.
% 1.02/1.38 { ! alpha36( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 1.02/1.38 { ! alpha40( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ),
% 1.02/1.38 alpha36( X, Y, Z, T, U, W ) }.
% 1.02/1.38 { ! alpha40( X, Y, Z, T, U, W ), alpha42( X, Y, Z, T, U, W ) }.
% 1.02/1.38 { ! alpha40( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 1.02/1.38 { ! alpha42( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ),
% 1.02/1.38 alpha40( X, Y, Z, T, U, W ) }.
% 1.02/1.38 { ! alpha42( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 1.02/1.38 { ! alpha42( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 1.02/1.38 { ! alpha42( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 1.02/1.38 { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf(
% 1.02/1.38 W, U ), alpha42( X, Y, Z, T, U, W ) }.
% 1.02/1.38 { ! alpha5( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 1.02/1.38 { ! alpha5( X, Y, Z, T ), ron( T, X ) }.
% 1.02/1.38 { rR( Y, T, Z ), ! ron( T, X ), alpha5( X, Y, Z, T ) }.
% 1.02/1.38 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ),
% 1.02/1.38 rpoint( skol11( U, W ) ) }.
% 1.02/1.38 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 1.02/1.38 skol11( U, Y ), Y ) }.
% 1.02/1.38 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 1.02/1.38 skol11( X, Y ), X ) }.
% 1.02/1.38 { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 1.02/1.38 , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W,
% 1.02/1.38 T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 1.02/1.38 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z =
% 1.02/1.38 V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ),
% 1.02/1.38 vg( X, Y, Z ) = vg( T, U, W ) }.
% 1.02/1.38 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 1.02/1.38 .
% 1.02/1.38 { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 1.02/1.38 rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 1.02/1.38 { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 1.02/1.38 ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 1.02/1.38 { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 1.02/1.38 { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 1.02/1.38 , X ), X = Y }.
% 1.02/1.38 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 1.02/1.38 ( Y, X ) }.
% 1.02/1.38 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 1.02/1.38 ) }.
% 1.02/1.38 { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 1.02/1.38 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol12( U, W ) ) }.
% 1.02/1.38 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol12( X,
% 1.02/1.38 Y ) }.
% 1.02/1.38 { v0 = vd684 }.
% 1.02/1.38 { rreal( vd684 ) }.
% 1.02/1.38 { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 1.02/1.38 U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 1.02/1.38 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 1.02/1.38 , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 1.02/1.38 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 1.02/1.38 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 1.02/1.38 ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 1.02/1.38 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 1.02/1.38 { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, !
% 1.02/1.38 rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 1.02/1.38 { rS( Y, Z, skol13( Y, Z ) ), alpha6( X, Z ), ! ron( Y, X ), ! U = T, !
% 1.02/1.38 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 1.02/1.38 , ! rpoint( V1 ), rintersect( skol49( X ), X ) }.
% 1.02/1.38 { rS( Y, Z, skol13( Y, Z ) ), alpha6( X, Z ), ! rinside( Y, X ), ! U = T, !
% 1.02/1.38 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y =
% 1.02/1.38 V1, ! rpoint( V1 ), rintersect( skol49( X ), X ) }.
% 1.02/1.38 { ! alpha6( X, Y ), ! ron( Y, X ) }.
% 1.02/1.38 { ! alpha6( X, Y ), ! rinside( Y, X ) }.
% 1.02/1.38 { ron( Y, X ), rinside( Y, X ), alpha6( X, Y ) }.
% 1.02/1.38 { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 1.02/1.38 ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ),
% 1.02/1.38 rintersect( X, Y ) }.
% 1.02/1.38 { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ),
% 1.02/1.38 ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 1.02/1.38 , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), !
% 1.02/1.38 rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, !
% 1.02/1.38 rcircle( V5 ), ! rS( X, Y, Z ) }.
% 1.02/1.38 { ! rR( T, Z, X ), rinside( T, Y ), alpha7( Y, Z ), ! Y = U, ! rcircle( U )
% 1.02/1.38 , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint(
% 1.02/1.38 V1 ), ! ron( X, Y ) }.
% 1.02/1.38 { ! rR( T, Z, X ), rinside( T, Y ), alpha7( Y, Z ), ! Y = U, ! rcircle( U )
% 1.02/1.38 , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint(
% 1.02/1.38 V1 ), ! ron( X, Y ) }.
% 1.02/1.38 { ! alpha7( X, Y ), ! ron( Y, X ) }.
% 1.02/1.38 { ! alpha7( X, Y ), ! rinside( Y, X ) }.
% 1.02/1.38 { ron( Y, X ), rinside( Y, X ), alpha7( X, Y ) }.
% 1.02/1.38 { ! rR( X, Z, T ), alpha8( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U ),
% 1.02/1.38 ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2
% 1.02/1.38 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 1.02/1.38 { ! rR( X, Z, T ), alpha8( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle( U
% 1.02/1.38 ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 1.02/1.38 ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 1.02/1.38 { ! alpha8( X, Y ), ! ron( Y, X ) }.
% 1.02/1.38 { ! alpha8( X, Y ), ! rinside( Y, X ) }.
% 1.02/1.38 { ron( Y, X ), rinside( Y, X ), alpha8( X, Y ) }.
% 1.02/1.38 { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), !
% 1.02/1.38 ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline(
% 1.02/1.38 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 1.02/1.38 rpoint( V3 ), rR( X, Y, Z ) }.
% 1.02/1.38 { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), !
% 1.02/1.38 ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 1.02/1.38 ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 1.02/1.38 V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline(
% 1.02/1.38 V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 1.02/1.38 { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 1.02/1.38 ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 1.02/1.38 W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 1.02/1.38 ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 1.02/1.38 ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 1.02/1.38 { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 1.02/1.38 , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 1.02/1.38 ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, !
% 1.02/1.38 rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 1.02/1.38 , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 1.02/1.38 { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 1.02/1.38 , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X
% 1.02/1.38 = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 1.02/1.38 rpoint( V3 ), rR( Y, X, Z ) }.
% 1.02/1.38 { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 1.02/1.38 ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 1.02/1.38 ) }.
% 1.02/1.38 { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 1.02/1.38 W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 1.02/1.38 ( X, Y, Z ) }.
% 1.02/1.38 { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, !
% 1.02/1.38 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 1.02/1.38 , Z ) }.
% 1.02/1.38 { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 1.02/1.38 ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 1.02/1.38 ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 1.02/1.38 { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, !
% 1.02/1.38 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 1.02/1.38 , Z ) }.
% 1.02/1.38 { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W,
% 1.02/1.38 ! rpoint( W ), ! ron( X, Y ) }.
% 1.02/1.38 { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W,
% 1.02/1.38 ! rpoint( W ), rS( Y, X, Z ) }.
% 1.02/1.38 { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 1.02/1.38 }.
% 1.02/1.38 { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 1.02/1.38 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 1.02/1.38 , Y, Z ) }.
% 1.02/1.38 { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 1.02/1.38 , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X =
% 1.02/1.38 V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 1.02/1.38 { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, !
% 1.02/1.38 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 1.02/1.38 , Z ) }.
% 1.02/1.38 { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 1.02/1.38 rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 1.02/1.38 , Y ) }.
% 1.02/1.38 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 1.02/1.38 = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 1.02/1.38 ron( X, Y ) }.
% 1.02/1.38 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 1.02/1.38 = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 1.02/1.38 ron( X, Y ) }.
% 1.02/1.38 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 1.02/1.38 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 1.02/1.38 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol14( V3, V4, V5, V6
% 1.02/1.38 ) ) }.
% 1.02/1.38 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 1.02/1.38 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 1.02/1.38 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol14( X, V3, V4, V5 ), X
% 1.02/1.38 ) }.
% 1.02/1.38 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 1.02/1.38 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 1.02/1.38 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha9( Y, Z, T, skol14( X, Y,
% 1.02/1.38 Z, T ) ) }.
% 1.02/1.38 { ! alpha9( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 1.02/1.38 { ! alpha9( X, Y, Z, T ), ron( T, X ) }.
% 1.02/1.38 { rS( T, Z, Y ), ! ron( T, X ), alpha9( X, Y, Z, T ) }.
% 1.02/1.38 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 1.02/1.38 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 1.02/1.38 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol15( V3, V4, V5, V6
% 1.02/1.38 ) ) }.
% 1.02/1.38 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 1.02/1.38 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 1.02/1.38 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol15( X, V3, V4, V5 ), X
% 1.02/1.38 ) }.
% 1.02/1.38 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 1.02/1.38 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 1.02/1.38 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha10( Y, Z, T, skol15( X, Y
% 1.02/1.38 , Z, T ) ) }.
% 1.02/1.38 { ! alpha10( X, Y, Z, T ), rS( T, Z, Y ) }.
% 1.02/1.38 { ! alpha10( X, Y, Z, T ), ron( T, X ) }.
% 1.02/1.38 { ! rS( T, Z, Y ), ! ron( T, X ), alpha10( X, Y, Z, T ) }.
% 1.02/1.38 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 1.02/1.38 alpha24( X, Y, skol16( X, Y ), skol50( X, Y ) ) }.
% 1.02/1.38 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 1.02/1.38 rpoint( skol16( X, Y ) ) }.
% 1.02/1.38 { ! alpha24( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 1.02/1.38 { ! alpha24( X, Y, Z, T ), ron( Z, X ) }.
% 1.02/1.38 { ! alpha31( X, Y, Z, T ), ! ron( Z, X ), alpha24( X, Y, Z, T ) }.
% 1.02/1.38 { ! alpha31( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 1.02/1.38 { ! alpha31( X, Y, Z, T ), ron( Z, Y ) }.
% 1.02/1.38 { ! alpha37( X, Y, Z, T ), ! ron( Z, Y ), alpha31( X, Y, Z, T ) }.
% 1.02/1.38 { ! alpha37( X, Y, Z, T ), alpha11( Y, Z, T ) }.
% 1.02/1.38 { ! alpha37( X, Y, Z, T ), ron( T, X ) }.
% 1.02/1.38 { ! alpha37( X, Y, Z, T ), rpoint( T ) }.
% 1.02/1.38 { ! alpha11( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha37( X, Y, Z, T )
% 1.02/1.38 }.
% 1.02/1.38 { ! alpha11( X, Y, Z ), ! Y = Z }.
% 1.02/1.38 { ! alpha11( X, Y, Z ), ron( Z, X ) }.
% 1.02/1.38 { Y = Z, ! ron( Z, X ), alpha11( X, Y, Z ) }.
% 1.02/1.38 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 1.02/1.38 rpoint( skol17( U, W ) ) }.
% 1.02/1.38 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 1.02/1.38 ron( skol17( U, Y ), Y ) }.
% 1.02/1.38 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 1.02/1.38 ron( skol17( X, Y ), X ) }.
% 1.02/1.38 { ! X = Y, ! rcircle( Y ), rpoint( skol18( Z ) ) }.
% 1.02/1.38 { ! X = Y, ! rcircle( Y ), ! rinside( skol18( X ), X ) }.
% 1.02/1.38 { ! X = Y, ! rcircle( Y ), ! ron( skol18( X ), X ) }.
% 1.02/1.38 { ! X = Y, ! rcircle( Y ), rpoint( skol19( Z ) ) }.
% 1.02/1.38 { ! X = Y, ! rcircle( Y ), rinside( skol19( X ), X ) }.
% 1.02/1.38 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 1.02/1.38 U ), ! X = W, ! rcircle( W ), rpoint( skol20( V0, V1, V2 ) ) }.
% 1.02/1.38 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 1.02/1.38 U ), ! X = W, ! rcircle( W ), ron( skol20( X, V0, V1 ), X ) }.
% 1.02/1.38 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 1.02/1.38 U ), ! X = W, ! rcircle( W ), alpha12( Y, Z, skol20( X, Y, Z ) ) }.
% 1.02/1.38 { ! alpha12( X, Y, Z ), ! Z = Y }.
% 1.02/1.38 { ! alpha12( X, Y, Z ), ! Z = X }.
% 1.02/1.38 { Z = Y, Z = X, alpha12( X, Y, Z ) }.
% 1.02/1.38 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint(
% 1.02/1.38 skol21( U, W ) ) }.
% 1.02/1.38 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol21
% 1.02/1.38 ( U, Y ) = Y }.
% 1.02/1.38 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron(
% 1.02/1.38 skol21( X, Y ), X ) }.
% 1.02/1.38 { ! X = Y, ! rcircle( Y ), rpoint( skol22( Z ) ) }.
% 1.02/1.38 { ! X = Y, ! rcircle( Y ), ron( skol22( X ), X ) }.
% 1.02/1.38 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 1.02/1.38 skol23( U, W ) ) }.
% 1.02/1.38 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol23
% 1.02/1.38 ( X, Y ), Y, X ) }.
% 1.02/1.38 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 1.02/1.38 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 1.02/1.38 rpoint( skol24( V2, V3, V4, V5 ) ) }.
% 1.02/1.38 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 1.02/1.38 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 1.02/1.38 rS( skol24( X, Y, V2, V3 ), Y, X ) }.
% 1.02/1.38 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 1.02/1.38 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 1.02/1.38 alpha25( Y, Z, T, skol24( X, Y, Z, T ) ) }.
% 1.02/1.38 { ! alpha25( X, Y, Z, T ), alpha13( Y, Z, T ) }.
% 1.02/1.38 { ! alpha25( X, Y, Z, T ), ! T = X }.
% 1.02/1.38 { ! alpha13( Y, Z, T ), T = X, alpha25( X, Y, Z, T ) }.
% 1.02/1.38 { ! alpha13( X, Y, Z ), ! Z = Y }.
% 1.02/1.38 { ! alpha13( X, Y, Z ), ! Z = X }.
% 1.02/1.38 { Z = Y, Z = X, alpha13( X, Y, Z ) }.
% 1.02/1.38 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 1.02/1.38 T ), ! X = W, ! rline( W ), rpoint( skol25( V0, V1, V2 ) ) }.
% 1.02/1.38 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 1.02/1.38 T ), ! X = W, ! rline( W ), alpha14( Y, Z, skol25( V0, Y, Z ) ) }.
% 1.02/1.38 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 1.02/1.38 T ), ! X = W, ! rline( W ), rS( skol25( X, Y, Z ), Y, X ) }.
% 1.02/1.38 { ! alpha14( X, Y, Z ), ! Z = Y }.
% 1.02/1.38 { ! alpha14( X, Y, Z ), ! Z = X }.
% 1.02/1.38 { Z = Y, Z = X, alpha14( X, Y, Z ) }.
% 1.02/1.38 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 1.02/1.38 skol26( U, W ) ) }.
% 1.02/1.38 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol26( U,
% 1.02/1.38 Y ) = Y }.
% 1.02/1.38 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol26( X
% 1.02/1.38 , Y ), Y, X ) }.
% 1.02/1.38 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 1.02/1.38 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 1.02/1.38 rpoint( skol27( V2, V3, V4 ) ) }.
% 1.02/1.38 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 1.02/1.38 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 1.02/1.38 ! skol27( V2, V3, Z ) = Z }.
% 1.02/1.38 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 1.02/1.38 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 1.02/1.38 rR( Y, X, skol27( X, Y, Z ) ) }.
% 1.02/1.38 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 1.02/1.38 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol28( V0, V1 ) ) }.
% 1.02/1.38 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 1.02/1.38 rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol28( X, Y ) ) }.
% 1.02/1.38 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 1.02/1.38 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 1.02/1.38 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint(
% 1.02/1.38 skol29( V4, V5, V6, V7 ) ) }.
% 1.02/1.38 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 1.02/1.38 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 1.02/1.39 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha15
% 1.02/1.39 ( Z, T, skol29( V4, V5, Z, T ) ) }.
% 1.02/1.39 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 1.02/1.39 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 1.02/1.39 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR(
% 1.02/1.39 skol29( X, Y, Z, T ), X, Y ) }.
% 1.02/1.39 { ! alpha15( X, Y, Z ), ! Z = Y }.
% 1.02/1.39 { ! alpha15( X, Y, Z ), ! Z = X }.
% 1.02/1.39 { Z = Y, Z = X, alpha15( X, Y, Z ) }.
% 1.02/1.39 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 1.02/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 1.02/1.39 rpoint( skol30( V2, V3, V4 ) ) }.
% 1.02/1.39 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 1.02/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 1.02/1.39 ! skol30( V2, V3, Z ) = Z }.
% 1.02/1.39 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 1.02/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 1.02/1.39 rR( skol30( X, Y, Z ), X, Y ) }.
% 1.02/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 1.02/1.39 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol31( V0, V1 ) ) }.
% 1.02/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 1.02/1.39 rpoint( U ), ! Z = W, ! rline( W ), rR( skol31( X, Y ), X, Y ) }.
% 1.02/1.39 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 1.02/1.39 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 1.02/1.39 rpoint( skol32( V2, V3, V4 ) ) }.
% 1.02/1.39 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 1.02/1.39 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 1.02/1.39 ron( skol32( X, V2, V3 ), X ) }.
% 1.02/1.39 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 1.02/1.39 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 1.02/1.39 alpha16( Y, Z, skol32( X, Y, Z ) ) }.
% 1.02/1.39 { ! alpha16( X, Y, Z ), ! Z = Y }.
% 1.02/1.39 { ! alpha16( X, Y, Z ), ! Z = X }.
% 1.02/1.39 { Z = Y, Z = X, alpha16( X, Y, Z ) }.
% 1.02/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 1.02/1.39 U ), ! X = W, ! rline( W ), rpoint( skol33( V0, V1, V2 ) ) }.
% 1.02/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 1.02/1.39 U ), ! X = W, ! rline( W ), ron( skol33( X, V0, V1 ), X ) }.
% 1.02/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 1.02/1.39 U ), ! X = W, ! rline( W ), alpha17( Y, Z, skol33( X, Y, Z ) ) }.
% 1.02/1.39 { ! alpha17( X, Y, Z ), ! Z = Y }.
% 1.02/1.39 { ! alpha17( X, Y, Z ), ! Z = X }.
% 1.02/1.39 { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 1.02/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 1.02/1.39 skol34( U, W ) ) }.
% 1.02/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol34( U
% 1.02/1.39 , Y ) = Y }.
% 1.02/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol34
% 1.02/1.39 ( X, Y ), X ) }.
% 1.02/1.39 { ! X = Y, ! rline( Y ), rpoint( skol35( Z ) ) }.
% 1.02/1.39 { ! X = Y, ! rline( Y ), ron( skol35( X ), X ) }.
% 1.02/1.39 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 1.02/1.39 , ! X = V1, ! rpoint( V1 ), rpoint( skol36( V2, V3, V4, V5 ) ) }.
% 1.02/1.39 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 1.02/1.39 , ! X = V1, ! rpoint( V1 ), ! skol36( X, V2, V3, V4 ) = X }.
% 1.02/1.39 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 1.02/1.39 , ! X = V1, ! rpoint( V1 ), alpha26( Y, Z, T, skol36( X, Y, Z, T ) ) }.
% 1.02/1.39 { ! alpha26( X, Y, Z, T ), alpha18( Y, Z, T ) }.
% 1.02/1.39 { ! alpha26( X, Y, Z, T ), ! T = X }.
% 1.02/1.39 { ! alpha18( Y, Z, T ), T = X, alpha26( X, Y, Z, T ) }.
% 1.02/1.39 { ! alpha18( X, Y, Z ), ! Z = Y }.
% 1.02/1.39 { ! alpha18( X, Y, Z ), ! Z = X }.
% 1.02/1.39 { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 1.02/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 1.02/1.39 rpoint( skol37( V0, V1, V2 ) ) }.
% 1.02/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 1.02/1.39 skol37( X, V0, V1 ) = X }.
% 1.02/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 1.02/1.39 alpha19( Y, Z, skol37( X, Y, Z ) ) }.
% 1.02/1.39 { ! alpha19( X, Y, Z ), ! Z = Y }.
% 1.02/1.39 { ! alpha19( X, Y, Z ), ! Z = X }.
% 1.02/1.39 { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 1.02/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol38( U, W ) )
% 1.02/1.39 }.
% 1.02/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol38( U, Y ) = Y }.
% 1.02/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol38( X, Y ) = X }.
% 1.02/1.39 { ! X = Y, ! rpoint( Y ), rpoint( skol39( Z ) ) }.
% 1.02/1.39 { ! X = Y, ! rpoint( Y ), ! skol39( X ) = X }.
% 1.02/1.39 { rpoint( vd14 ) }.
% 1.02/1.39 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha38( X, Y, Z ) }.
% 1.02/1.39 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha32( X ) }.
% 1.02/1.39 { ! alpha38( X, Y, Z ), alpha41( X, Y, Z ) }.
% 1.02/1.39 { ! alpha38( X, Y, Z ), alpha27( Y ) }.
% 1.02/1.39 { ! alpha41( X, Y, Z ), ! alpha27( Y ), alpha38( X, Y, Z ) }.
% 1.02/1.39 { ! alpha41( X, Y, Z ), alpha43( X, Y, Z ) }.
% 1.02/1.39 { ! alpha41( X, Y, Z ), alpha20( Z ) }.
% 1.02/1.39 { ! alpha43( X, Y, Z ), ! alpha20( Z ), alpha41( X, Y, Z ) }.
% 1.02/1.39 { ! alpha43( X, Y, Z ), ! Y = Z }.
% 1.02/1.39 { ! alpha43( X, Y, Z ), ! X = Z }.
% 1.02/1.39 { ! alpha43( X, Y, Z ), ! X = Y }.
% 1.02/1.39 { Y = Z, X = Z, X = Y, alpha43( X, Y, Z ) }.
% 1.02/1.39 { ! alpha32( X ), rpoint( skol40( Y ) ) }.
% 1.02/1.39 { ! alpha32( X ), X = skol40( X ) }.
% 1.02/1.39 { ! X = Y, ! rpoint( Y ), alpha32( X ) }.
% 1.02/1.39 { ! alpha27( X ), rpoint( skol41( Y ) ) }.
% 1.02/1.39 { ! alpha27( X ), X = skol41( X ) }.
% 1.02/1.39 { ! X = Y, ! rpoint( Y ), alpha27( X ) }.
% 1.02/1.39 { ! alpha20( X ), rpoint( skol42( Y ) ) }.
% 1.02/1.39 { ! alpha20( X ), X = skol42( X ) }.
% 1.02/1.39 { ! X = Y, ! rpoint( Y ), alpha20( X ) }.
% 1.02/1.39 { ! rcenter( X, Y ), rcircle( skol43( Z, T ) ) }.
% 1.02/1.39 { ! rcenter( X, Y ), Y = skol43( Z, Y ) }.
% 1.02/1.39 { ! rcenter( X, Y ), alpha21( X ) }.
% 1.02/1.39 { ! alpha21( X ), rpoint( skol44( Y ) ) }.
% 1.02/1.39 { ! alpha21( X ), X = skol44( X ) }.
% 1.02/1.39 { ! X = Y, ! rpoint( Y ), alpha21( X ) }.
% 1.02/1.39 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 1.02/1.39 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 1.02/1.39 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 1.02/1.39 , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 1.02/1.39 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 1.02/1.39 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 1.02/1.39 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 1.02/1.39 , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 1.02/1.39 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 1.02/1.39 rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 1.02/1.39 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 1.02/1.39 rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 1.02/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 1.02/1.39 vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 1.02/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 1.02/1.39 vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 1.02/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol45( U, W ) ) }
% 1.02/1.39 .
% 1.02/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol45( X, Y
% 1.02/1.39 ) }.
% 1.02/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 1.02/1.39 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 1.02/1.39 , Y, Z ) = v0, ron( Z, T ) }.
% 1.02/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 1.02/1.39 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 1.02/1.39 , T ), vg( X, Y, Z ) = v0 }.
% 1.02/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 1.02/1.40 rgeq( vg( X, Y, Z ), v0 ) }.
% 1.02/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 1.02/1.40 rreal( skol46( V0, V1, V2 ) ) }.
% 1.02/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 1.02/1.40 vg( X, Y, Z ) = skol46( X, Y, Z ) }.
% 1.02/1.40 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 1.02/1.40 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 1.02/1.40 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 1.02/1.40 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 1.02/1.40 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 1.02/1.40 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y,
% 1.02/1.40 Z ), rS( Y, X, T ) }.
% 1.02/1.40 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 1.02/1.40 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 1.02/1.40 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 1.02/1.40 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 1.02/1.40 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 1.02/1.40 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 1.02/1.40 { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ),
% 1.02/1.40 ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1,
% 1.02/1.40 ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T =
% 1.02/1.40 V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 1.02/1.40 X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 1.02/1.40 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 1.02/1.40 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 1.02/1.40 rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T )
% 1.02/1.40 = vperp }.
% 1.02/1.40 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 1.02/1.40 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 1.02/1.40 rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 1.02/1.40 , Z, Y ) }.
% 1.02/1.40 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 1.02/1.40 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 1.02/1.40 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 1.02/1.40 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 1.02/1.40 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 1.02/1.40 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 1.02/1.40 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 1.02/1.40 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 1.02/1.40 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 1.02/1.40 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 1.02/1.40 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 1.02/1.40 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 1.02/1.40 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 1.02/1.40 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T,
% 1.02/1.40 W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 1.02/1.40 .
% 1.02/1.40 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 1.02/1.40 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 1.02/1.40 ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 1.02/1.40 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 1.02/1.40 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 1.02/1.40 vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 1.02/1.40 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 1.02/1.40 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 1.02/1.40 vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 1.02/1.40 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 1.02/1.40 rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 1.02/1.40 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 1.02/1.40 rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 1.02/1.40 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 1.02/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 1.02/1.40 rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 1.02/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 1.02/1.40 rleq( v0, vangle( X, Y, Z ) ) }.
% 1.02/1.40 { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 1.02/1.40 rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 1.02/1.40
% 1.02/1.40 *** allocated 15000 integers for clauses
% 1.02/1.40 *** allocated 22500 integers for clauses
% 1.02/1.40 percentage equality = 0.368928, percentage horn = 0.742029
% 1.02/1.40 This is a problem with some equality
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Options Used:
% 1.02/1.40
% 1.02/1.40 useres = 1
% 1.02/1.40 useparamod = 1
% 1.02/1.40 useeqrefl = 1
% 1.02/1.40 useeqfact = 1
% 1.02/1.40 usefactor = 1
% 1.02/1.40 usesimpsplitting = 0
% 1.02/1.40 usesimpdemod = 5
% 1.02/1.40 usesimpres = 3
% 1.02/1.40
% 1.02/1.40 resimpinuse = 1000
% 1.02/1.40 resimpclauses = 20000
% 1.02/1.40 substype = eqrewr
% 1.02/1.40 backwardsubs = 1
% 1.02/1.40 selectoldest = 5
% 1.02/1.40
% 1.02/1.40 litorderings [0] = split
% 1.02/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 1.02/1.40
% 1.02/1.40 termordering = kbo
% 1.02/1.40
% 1.02/1.40 litapriori = 0
% 1.02/1.40 termapriori = 1
% 1.02/1.40 litaposteriori = 0
% 1.02/1.40 termaposteriori = 0
% 1.02/1.40 demodaposteriori = 0
% 1.02/1.40 ordereqreflfact = 0
% 1.02/1.40
% 1.02/1.40 litselect = negord
% 1.02/1.40
% 1.02/1.40 maxweight = 15
% 1.02/1.40 maxdepth = 30000
% 1.02/1.40 maxlength = 115
% 1.02/1.40 maxnrvars = 195
% 1.02/1.40 excuselevel = 1
% 1.02/1.40 increasemaxweight = 1
% 1.02/1.40
% 1.02/1.40 maxselected = 10000000
% 1.02/1.40 maxnrclauses = 10000000
% 1.02/1.40
% 1.02/1.40 showgenerated = 0
% 1.02/1.40 showkept = 0
% 1.02/1.40 showselected = 0
% 1.02/1.40 showdeleted = 0
% 1.02/1.40 showresimp = 1
% 1.02/1.40 showstatus = 2000
% 1.02/1.40
% 1.02/1.40 prologoutput = 0
% 1.02/1.40 nrgoals = 5000000
% 1.02/1.40 totalproof = 1
% 1.02/1.40
% 1.02/1.40 Symbols occurring in the translation:
% 1.02/1.40
% 1.02/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.02/1.40 . [1, 2] (w:1, o:779, a:1, s:1, b:0),
% 1.02/1.40 ! [4, 1] (w:0, o:755, a:1, s:1, b:0),
% 1.02/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.40 vd1080 [36, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.02/1.40 vd1089 [37, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.02/1.40 rR [38, 3] (w:1, o:835, a:1, s:1, b:0),
% 1.02/1.40 vd1091 [39, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.02/1.40 ron [40, 2] (w:1, o:803, a:1, s:1, b:0),
% 1.02/1.40 vd1094 [41, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.02/1.40 rpoint [42, 1] (w:1, o:760, a:1, s:1, b:0),
% 1.02/1.40 vskolem1095 [43, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.02/1.40 vd1081 [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.02/1.40 rcenter [46, 2] (w:1, o:804, a:1, s:1, b:0),
% 1.02/1.40 rcircle [47, 1] (w:1, o:761, a:1, s:1, b:0),
% 1.02/1.40 rinside [62, 2] (w:1, o:805, a:1, s:1, b:0),
% 1.02/1.40 rline [63, 1] (w:1, o:762, a:1, s:1, b:0),
% 1.02/1.40 vf [71, 2] (w:1, o:806, a:1, s:1, b:0),
% 1.02/1.40 vskolem1092 [74, 0] (w:1, o:631, a:1, s:1, b:0),
% 1.02/1.40 vd1085 [94, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.02/1.40 vd1086 [95, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.02/1.40 vskolem1052 [100, 4] (w:1, o:862, a:1, s:1, b:0),
% 1.02/1.40 rintersect [111, 2] (w:1, o:807, a:1, s:1, b:0),
% 1.02/1.40 v0 [118, 0] (w:1, o:632, a:1, s:1, b:0),
% 1.02/1.40 vplus [147, 2] (w:1, o:808, a:1, s:1, b:0),
% 1.02/1.40 rreal [154, 1] (w:1, o:763, a:1, s:1, b:0),
% 1.02/1.40 rS [176, 3] (w:1, o:836, a:1, s:1, b:0),
% 1.02/1.40 vangle [177, 3] (w:1, o:837, a:1, s:1, b:0),
% 1.02/1.40 vg [211, 3] (w:1, o:838, a:1, s:1, b:0),
% 1.02/1.40 rleq [216, 2] (w:1, o:809, a:1, s:1, b:0),
% 1.02/1.40 rless [223, 2] (w:1, o:810, a:1, s:1, b:0),
% 1.02/1.40 vd684 [251, 0] (w:1, o:746, a:1, s:1, b:0),
% 1.02/1.40 vd14 [656, 0] (w:1, o:750, a:1, s:1, b:0),
% 1.02/1.40 vtriangle [661, 3] (w:1, o:839, a:1, s:1, b:0),
% 1.02/1.40 rtriangle [662, 1] (w:1, o:764, a:1, s:1, b:0),
% 1.02/1.40 rgeq [711, 2] (w:1, o:811, a:1, s:1, b:0),
% 1.02/1.40 vperp [727, 0] (w:1, o:752, a:1, s:1, b:0),
% 1.02/1.40 alpha1 [802, 3] (w:1, o:840, a:1, s:1, b:1),
% 1.02/1.40 alpha2 [803, 4] (w:1, o:864, a:1, s:1, b:1),
% 1.02/1.40 alpha3 [804, 4] (w:1, o:870, a:1, s:1, b:1),
% 1.02/1.40 alpha4 [805, 3] (w:1, o:842, a:1, s:1, b:1),
% 1.02/1.40 alpha5 [806, 4] (w:1, o:871, a:1, s:1, b:1),
% 1.02/1.40 alpha6 [807, 2] (w:1, o:812, a:1, s:1, b:1),
% 1.02/1.40 alpha7 [808, 2] (w:1, o:813, a:1, s:1, b:1),
% 1.02/1.40 alpha8 [809, 2] (w:1, o:814, a:1, s:1, b:1),
% 1.02/1.40 alpha9 [810, 4] (w:1, o:872, a:1, s:1, b:1),
% 1.02/1.40 alpha10 [811, 4] (w:1, o:863, a:1, s:1, b:1),
% 1.02/1.40 alpha11 [812, 3] (w:1, o:843, a:1, s:1, b:1),
% 1.02/1.40 alpha12 [813, 3] (w:1, o:844, a:1, s:1, b:1),
% 1.02/1.41 alpha13 [814, 3] (w:1, o:845, a:1, s:1, b:1),
% 1.02/1.41 alpha14 [815, 3] (w:1, o:846, a:1, s:1, b:1),
% 1.02/1.41 alpha15 [816, 3] (w:1, o:847, a:1, s:1, b:1),
% 1.02/1.41 alpha16 [817, 3] (w:1, o:848, a:1, s:1, b:1),
% 1.02/1.41 alpha17 [818, 3] (w:1, o:849, a:1, s:1, b:1),
% 1.02/1.41 alpha18 [819, 3] (w:1, o:850, a:1, s:1, b:1),
% 1.02/1.41 alpha19 [820, 3] (w:1, o:851, a:1, s:1, b:1),
% 1.02/1.41 alpha20 [821, 1] (w:1, o:765, a:1, s:1, b:1),
% 1.02/1.41 alpha21 [822, 1] (w:1, o:766, a:1, s:1, b:1),
% 1.02/1.41 alpha22 [823, 4] (w:1, o:865, a:1, s:1, b:1),
% 1.02/1.41 alpha23 [824, 6] (w:1, o:883, a:1, s:1, b:1),
% 1.02/1.41 alpha24 [825, 4] (w:1, o:866, a:1, s:1, b:1),
% 1.02/1.41 alpha25 [826, 4] (w:1, o:867, a:1, s:1, b:1),
% 1.02/1.41 alpha26 [827, 4] (w:1, o:868, a:1, s:1, b:1),
% 1.02/1.41 alpha27 [828, 1] (w:1, o:767, a:1, s:1, b:1),
% 1.02/1.41 alpha28 [829, 4] (w:1, o:869, a:1, s:1, b:1),
% 1.02/1.41 alpha29 [830, 7] (w:1, o:889, a:1, s:1, b:1),
% 1.02/1.41 alpha30 [831, 6] (w:1, o:884, a:1, s:1, b:1),
% 1.02/1.41 alpha31 [832, 4] (w:1, o:873, a:1, s:1, b:1),
% 1.02/1.41 alpha32 [833, 1] (w:1, o:768, a:1, s:1, b:1),
% 1.02/1.41 alpha33 [834, 4] (w:1, o:874, a:1, s:1, b:1),
% 1.02/1.41 alpha34 [835, 10] (w:1, o:894, a:1, s:1, b:1),
% 1.02/1.41 alpha35 [836, 7] (w:1, o:890, a:1, s:1, b:1),
% 1.02/1.41 alpha36 [837, 6] (w:1, o:885, a:1, s:1, b:1),
% 1.02/1.41 alpha37 [838, 4] (w:1, o:875, a:1, s:1, b:1),
% 1.02/1.41 alpha38 [839, 3] (w:1, o:841, a:1, s:1, b:1),
% 1.02/1.41 alpha39 [840, 7] (w:1, o:891, a:1, s:1, b:1),
% 1.02/1.41 alpha40 [841, 6] (w:1, o:886, a:1, s:1, b:1),
% 1.02/1.41 alpha41 [842, 3] (w:1, o:852, a:1, s:1, b:1),
% 1.02/1.41 alpha42 [843, 6] (w:1, o:887, a:1, s:1, b:1),
% 1.02/1.41 alpha43 [844, 3] (w:1, o:853, a:1, s:1, b:1),
% 1.02/1.41 skol1 [845, 4] (w:1, o:876, a:1, s:1, b:1),
% 1.02/1.41 skol2 [846, 0] (w:1, o:753, a:1, s:1, b:1),
% 1.02/1.41 skol3 [847, 0] (w:1, o:754, a:1, s:1, b:1),
% 1.02/1.41 skol4 [848, 4] (w:1, o:878, a:1, s:1, b:1),
% 1.02/1.41 skol5 [849, 2] (w:1, o:818, a:1, s:1, b:1),
% 1.02/1.41 skol6 [850, 2] (w:1, o:820, a:1, s:1, b:1),
% 1.02/1.41 skol7 [851, 2] (w:1, o:821, a:1, s:1, b:1),
% 1.02/1.41 skol8 [852, 2] (w:1, o:822, a:1, s:1, b:1),
% 1.02/1.41 skol9 [853, 7] (w:1, o:892, a:1, s:1, b:1),
% 1.02/1.41 skol10 [854, 6] (w:1, o:888, a:1, s:1, b:1),
% 1.02/1.41 skol11 [855, 2] (w:1, o:823, a:1, s:1, b:1),
% 1.02/1.41 skol12 [856, 2] (w:1, o:824, a:1, s:1, b:1),
% 1.02/1.41 skol13 [857, 2] (w:1, o:825, a:1, s:1, b:1),
% 1.02/1.41 skol14 [858, 4] (w:1, o:879, a:1, s:1, b:1),
% 1.02/1.41 skol15 [859, 4] (w:1, o:880, a:1, s:1, b:1),
% 1.02/1.41 skol16 [860, 2] (w:1, o:826, a:1, s:1, b:1),
% 1.02/1.41 skol17 [861, 2] (w:1, o:827, a:1, s:1, b:1),
% 1.02/1.41 skol18 [862, 1] (w:1, o:769, a:1, s:1, b:1),
% 1.02/1.41 skol19 [863, 1] (w:1, o:770, a:1, s:1, b:1),
% 1.02/1.41 skol20 [864, 3] (w:1, o:854, a:1, s:1, b:1),
% 1.02/1.41 skol21 [865, 2] (w:1, o:828, a:1, s:1, b:1),
% 1.02/1.41 skol22 [866, 1] (w:1, o:771, a:1, s:1, b:1),
% 1.02/1.41 skol23 [867, 2] (w:1, o:829, a:1, s:1, b:1),
% 1.02/1.41 skol24 [868, 4] (w:1, o:881, a:1, s:1, b:1),
% 1.02/1.41 skol25 [869, 3] (w:1, o:855, a:1, s:1, b:1),
% 1.02/1.41 skol26 [870, 2] (w:1, o:830, a:1, s:1, b:1),
% 1.02/1.41 skol27 [871, 3] (w:1, o:856, a:1, s:1, b:1),
% 1.02/1.41 skol28 [872, 2] (w:1, o:831, a:1, s:1, b:1),
% 1.02/1.41 skol29 [873, 4] (w:1, o:882, a:1, s:1, b:1),
% 1.02/1.41 skol30 [874, 3] (w:1, o:857, a:1, s:1, b:1),
% 1.02/1.41 skol31 [875, 2] (w:1, o:832, a:1, s:1, b:1),
% 1.02/1.41 skol32 [876, 3] (w:1, o:858, a:1, s:1, b:1),
% 1.02/1.41 skol33 [877, 3] (w:1, o:859, a:1, s:1, b:1),
% 1.02/1.41 skol34 [878, 2] (w:1, o:833, a:1, s:1, b:1),
% 1.02/1.41 skol35 [879, 1] (w:1, o:772, a:1, s:1, b:1),
% 1.02/1.41 skol36 [880, 4] (w:1, o:877, a:1, s:1, b:1),
% 1.02/1.41 skol37 [881, 3] (w:1, o:860, a:1, s:1, b:1),
% 1.02/1.41 skol38 [882, 2] (w:1, o:834, a:1, s:1, b:1),
% 1.02/1.41 skol39 [883, 1] (w:1, o:773, a:1, s:1, b:1),
% 1.02/1.41 skol40 [884, 1] (w:1, o:774, a:1, s:1, b:1),
% 1.02/1.41 skol41 [885, 1] (w:1, o:775, a:1, s:1, b:1),
% 1.02/1.41 skol42 [886, 1] (w:1, o:776, a:1, s:1, b:1),
% 1.02/1.41 skol43 [887, 2] (w:1, o:815, a:1, s:1, b:1),
% 1.02/1.41 skol44 [888, 1] (w:1, o:777, a:1, s:1, b:1),
% 1.02/1.41 skol45 [889, 2] (w:1, o:816, a:1, s:1, b:1),
% 1.02/1.41 skol46 [890, 3] (w:1, o:861, a:1, s:1, b:1),
% 1.02/1.41 skol47 [891, 2] (w:1, o:817, a:1, s:1, b:1),
% 1.02/1.41 skol48 [892, 7] (w:1, o:893, a:1, s:1, b:1),
% 1.02/1.41 skol49 [893, 1] (w:1, o:778, a:1, s:1, b:1),
% 1.02/1.41 skol50 [894, 2] (w:1, o:819, a:1, s:1, b:1).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 Starting Search:
% 1.02/1.41
% 1.02/1.41 *** allocated 33750 integers for clauses
% 1.02/1.41 matchinglists is full
% 1.02/1.41
% 1.02/1.41 Memory use:
% 1.02/1.41
% 1.02/1.41 space for terms: 32799
% 1.02/1.41 space for clauses: 28704
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 clauses generated: 1618
% 1.02/1.41 clauses kept: 560
% 1.02/1.41 clauses selected: 0
% 1.02/1.41 clauses deleted: 0
% 1.02/1.41 clauses inuse deleted: 0
% 1.02/1.41
% 1.02/1.41 subsentry: 2688
% 1.02/1.41 literals s-matched: 1319
% 1.02/1.41 literals matched: 1192
% 1.02/1.41 full subsumption: 1110
% 1.02/1.41
% 1.02/1.41 checksum: -1703417566
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 Bliksem ended
%------------------------------------------------------------------------------