TSTP Solution File: GEO280+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO280+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 02:53:30 EDT 2022
% Result : Unknown 1.52s 1.89s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO280+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n026.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 : Fri Jun 17 16:54:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.85/1.45 *** allocated 10000 integers for termspace/termends
% 0.85/1.45 *** allocated 10000 integers for clauses
% 0.85/1.45 *** allocated 10000 integers for justifications
% 0.85/1.45 Bliksem 1.12
% 0.85/1.45
% 0.85/1.45
% 0.85/1.45 Automatic Strategy Selection
% 0.85/1.45
% 0.85/1.45 *** allocated 15000 integers for termspace/termends
% 0.85/1.45 *** allocated 22500 integers for termspace/termends
% 0.85/1.45 *** allocated 33750 integers for termspace/termends
% 0.85/1.45 *** allocated 50625 integers for termspace/termends
% 0.85/1.45
% 0.85/1.45 Clauses:
% 0.85/1.45
% 0.85/1.45 { rinside( vd1125, vd1139 ) }.
% 0.85/1.45 { ron( vd1136, vd1139 ) }.
% 0.85/1.45 { rcenter( vd1123, vd1139 ) }.
% 0.85/1.45 { rcircle( vd1139 ) }.
% 0.85/1.45 { ron( vd1125, vd1138 ) }.
% 0.85/1.45 { ron( vd1123, vd1138 ) }.
% 0.85/1.45 { rline( vd1138 ) }.
% 0.85/1.45 { vf( vd1127, vd1129 ) = vf( vd1123, vd1136 ) }.
% 0.85/1.45 { rpoint( vd1136 ) }.
% 0.85/1.45 { rless( vf( vd1127, vd1129 ), vf( vd1123, vd1125 ) ) }.
% 0.85/1.45 { ! vd1127 = vd1129 }.
% 0.85/1.45 { ! vd1123 = vd1125 }.
% 0.85/1.45 { vd1129 = vd1130 }.
% 0.85/1.45 { rpoint( vd1130 ) }.
% 0.85/1.45 { vd1127 = vd1128 }.
% 0.85/1.45 { rpoint( vd1128 ) }.
% 0.85/1.45 { vd1125 = vd1126 }.
% 0.85/1.45 { rpoint( vd1126 ) }.
% 0.85/1.45 { vd1123 = vd1124 }.
% 0.85/1.45 { rpoint( vd1124 ) }.
% 0.85/1.45 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 0.85/1.45 }.
% 0.85/1.45 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 0.85/1.45 }.
% 0.85/1.45 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol1( U
% 0.85/1.45 , W ) ) }.
% 0.85/1.45 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol1( U,
% 0.85/1.45 Y ) ) }.
% 0.85/1.45 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol1
% 0.85/1.45 ( X, Y ) ) }.
% 0.85/1.45 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol2( U, W
% 0.85/1.45 ) ) }.
% 0.85/1.45 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol2( U,
% 0.85/1.45 Y ) ) }.
% 0.85/1.45 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol2( X,
% 0.85/1.45 Y ) ) }.
% 0.85/1.45 { ! rcenter( X, Y ), rcircle( skol3( Z, T ) ) }.
% 0.85/1.45 { ! rcenter( X, Y ), Y = skol3( Z, Y ) }.
% 0.85/1.45 { ! rcenter( X, Y ), alpha1( X ) }.
% 0.85/1.45 { ! alpha1( X ), rpoint( skol4( Y ) ) }.
% 0.85/1.45 { ! alpha1( X ), X = skol4( X ) }.
% 0.85/1.45 { ! X = Y, ! rpoint( Y ), alpha1( X ) }.
% 0.85/1.45 { ! vd1123 = vd1129 }.
% 0.85/1.45 { ! vd1123 = vd1127 }.
% 0.85/1.45 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U
% 0.85/1.45 = X, ! rpoint( W ), vf( X, Y ) = vf( U, vskolem1078( U, W, X, Y ) ) }.
% 0.85/1.45 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U
% 0.85/1.45 = X, ! rpoint( W ), rpoint( vskolem1078( U, W, X, Y ) ) }.
% 0.85/1.45 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( Z, vskolem1052
% 0.85/1.45 ( X, Y, Z, T ) ) = vf( vskolem1052( X, Y, Z, T ), X ) }.
% 0.85/1.45 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( X, Z ) = vf( Z
% 0.85/1.45 , vskolem1052( X, Y, Z, T ) ) }.
% 0.85/1.45 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), rpoint(
% 0.85/1.45 vskolem1052( X, Y, Z, T ) ) }.
% 0.85/1.45 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.85/1.45 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.85/1.45 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.85/1.45 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.85/1.45 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 0.85/1.45 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.85/1.45 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.85/1.45 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.85/1.45 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.85/1.45 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 0.85/1.45 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.85/1.45 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.85/1.45 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.85/1.45 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T,
% 0.85/1.45 W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 0.85/1.45 .
% 0.85/1.45 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.85/1.45 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 0.85/1.45 ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 0.85/1.45 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.85/1.45 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.85/1.45 vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 0.85/1.45 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.85/1.45 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.85/1.45 vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 0.85/1.45 { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 0.85/1.45 , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X =
% 0.85/1.45 V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 0.85/1.45 { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 0.85/1.45 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.85/1.45 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.85/1.45 ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol5( V2, V3, V4, V5 ) ) }.
% 0.85/1.45 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.85/1.45 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.85/1.45 ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol5( V2, Y, V3, V4 ), Y ) }.
% 0.85/1.45 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.85/1.45 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.85/1.45 ( V0 ), ! X = V1, ! rcircle( V1 ), alpha2( X, Z, T, skol5( X, Y, Z, T ) )
% 0.85/1.45 }.
% 0.85/1.45 { ! alpha2( X, Y, Z, T ), rR( T, Y, Z ) }.
% 0.85/1.45 { ! alpha2( X, Y, Z, T ), ron( T, X ) }.
% 0.85/1.45 { ! rR( T, Y, Z ), ! ron( T, X ), alpha2( X, Y, Z, T ) }.
% 0.85/1.45 { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ),
% 0.85/1.45 ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1,
% 0.85/1.45 ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T =
% 0.85/1.45 V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 0.85/1.45 X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 0.85/1.45 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol6( U, W ) ) }
% 0.85/1.45 .
% 0.85/1.45 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol6( X, Y
% 0.85/1.45 ) }.
% 0.85/1.45 { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 0.85/1.45 ( U ), ! X = W, ! rreal( W ), X = Y }.
% 0.85/1.45 { ! X = Y, ! rcircle( Y ), rpoint( skol7( Z ) ) }.
% 0.85/1.45 { ! X = Y, ! rcircle( Y ), ! rinside( skol7( X ), X ) }.
% 0.85/1.45 { ! X = Y, ! rcircle( Y ), ! ron( skol7( X ), X ) }.
% 0.85/1.45 { ! V4 = V5, alpha28( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 0.85/1.45 ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 0.85/1.45 , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 0.85/1.45 rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 0.85/1.45 T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, !
% 0.85/1.45 rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ),
% 0.85/1.45 ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 =
% 0.85/1.45 V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), !
% 0.85/1.45 V6 = V27, ! rpoint( V27 ), alpha33( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.85/1.45 .
% 0.85/1.45 { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 0.85/1.45 ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 0.85/1.45 ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 0.85/1.45 , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 0.85/1.45 ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, !
% 0.85/1.45 rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), !
% 0.85/1.45 V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, !
% 0.85/1.45 rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), !
% 0.85/1.45 V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha33( X, Y, Z
% 0.85/1.45 , T, U, W, V0, V1, V2, V3 ) }.
% 0.85/1.45 { ! alpha33( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) =
% 0.85/1.45 vangle( V1, V2, V3 ) }.
% 0.85/1.45 { ! alpha33( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 0.85/1.45 .
% 0.85/1.45 { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ),
% 0.85/1.45 alpha33( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.85/1.45 { ! alpha28( X, Y, Z, T, U, W, V0 ), rS( skol8( X, V1, V2, V3, V4, V5, V0 )
% 0.85/1.45 , V0, X ) }.
% 0.85/1.45 { ! alpha28( X, Y, Z, T, U, W, V0 ), alpha3( X, U, W, skol45( X, V1, V2, V3
% 0.85/1.45 , U, W, V4 ) ) }.
% 0.85/1.45 { ! alpha28( X, Y, Z, T, U, W, V0 ), alpha22( Y, Z, T, U, skol8( X, Y, Z, T
% 0.85/1.45 , U, W, V0 ), skol45( X, Y, Z, T, U, W, V0 ) ) }.
% 0.85/1.45 { ! rS( V1, V0, X ), ! alpha3( X, U, W, V2 ), ! alpha22( Y, Z, T, U, V1, V2
% 0.85/1.45 ), alpha28( X, Y, Z, T, U, W, V0 ) }.
% 0.85/1.45 { ! alpha22( X, Y, Z, T, U, W ), rpoint( skol9( V0, V1, V2, V3, V4, V5 ) )
% 0.85/1.45 }.
% 0.85/1.45 { ! alpha22( X, Y, Z, T, U, W ), alpha34( X, Y, Z, T, U, W, skol9( X, Y, Z
% 0.85/1.45 , T, U, W ) ) }.
% 0.85/1.45 { ! alpha34( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha22( X, Y, Z, T, U
% 0.85/1.45 , W ) }.
% 0.85/1.45 { ! alpha34( X, Y, Z, T, U, W, V0 ), alpha39( X, Y, Z, T, U, W, V0 ) }.
% 0.85/1.45 { ! alpha34( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 0.85/1.45 { ! alpha39( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha34( X, Y, Z, T, U
% 0.85/1.45 , W, V0 ) }.
% 0.85/1.45 { ! alpha39( X, Y, Z, T, U, W, V0 ), alpha29( X, Y, Z, U, W, V0 ) }.
% 0.85/1.45 { ! alpha39( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 0.85/1.45 { ! alpha39( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 0.85/1.45 { ! alpha29( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha39( X, Y, Z
% 0.85/1.45 , T, U, W, V0 ) }.
% 0.85/1.45 { ! alpha29( X, Y, Z, T, U, W ), alpha35( X, Y, Z, T, U, W ) }.
% 0.85/1.45 { ! alpha29( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 0.85/1.45 { ! alpha35( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ),
% 0.85/1.45 alpha29( X, Y, Z, T, U, W ) }.
% 0.85/1.45 { ! alpha35( X, Y, Z, T, U, W ), alpha40( X, Y, Z, T, U, W ) }.
% 0.85/1.45 { ! alpha35( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 0.85/1.45 { ! alpha40( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ),
% 0.85/1.45 alpha35( X, Y, Z, T, U, W ) }.
% 0.85/1.45 { ! alpha40( X, Y, Z, T, U, W ), alpha42( X, Y, Z, T, U, W ) }.
% 0.85/1.45 { ! alpha40( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 0.85/1.45 { ! alpha42( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ),
% 0.85/1.45 alpha40( X, Y, Z, T, U, W ) }.
% 0.85/1.45 { ! alpha42( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 0.85/1.45 { ! alpha42( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 0.85/1.45 { ! alpha42( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 0.85/1.45 { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf(
% 0.85/1.45 W, U ), alpha42( X, Y, Z, T, U, W ) }.
% 0.85/1.45 { ! alpha3( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 0.85/1.45 { ! alpha3( X, Y, Z, T ), ron( T, X ) }.
% 0.85/1.45 { rR( Y, T, Z ), ! ron( T, X ), alpha3( X, Y, Z, T ) }.
% 0.85/1.45 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.85/1.45 , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 0.85/1.45 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.85/1.45 rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 0.85/1.45 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.85/1.45 rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 0.85/1.45 { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 0.85/1.45 rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.85/1.45 { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 0.85/1.45 ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 0.85/1.45 { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 0.85/1.45 { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 0.85/1.45 , X ), X = Y }.
% 0.85/1.45 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 0.85/1.45 ( Y, X ) }.
% 0.85/1.45 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 0.85/1.45 ) }.
% 0.85/1.45 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol10( U, W ) ) }.
% 0.85/1.45 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol10( X,
% 0.85/1.45 Y ) }.
% 0.85/1.45 { v0 = vd684 }.
% 0.85/1.45 { rreal( vd684 ) }.
% 0.85/1.45 { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 0.85/1.45 U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 0.85/1.45 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 0.85/1.45 , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.85/1.45 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.85/1.45 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 0.85/1.45 ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.85/1.45 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.85/1.45 { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, !
% 0.85/1.45 rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 0.85/1.45 { rS( Y, Z, skol11( Y, Z ) ), alpha4( X, Z ), ! ron( Y, X ), ! U = T, !
% 0.85/1.45 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.85/1.45 , ! rpoint( V1 ), rintersect( skol46( X ), X ) }.
% 0.85/1.45 { rS( Y, Z, skol11( Y, Z ) ), alpha4( X, Z ), ! rinside( Y, X ), ! U = T, !
% 0.85/1.45 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y =
% 0.85/1.45 V1, ! rpoint( V1 ), rintersect( skol46( X ), X ) }.
% 0.85/1.45 { ! alpha4( X, Y ), ! ron( Y, X ) }.
% 0.85/1.45 { ! alpha4( X, Y ), ! rinside( Y, X ) }.
% 0.85/1.45 { ron( Y, X ), rinside( Y, X ), alpha4( X, Y ) }.
% 0.85/1.45 { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 0.85/1.45 ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ),
% 0.85/1.45 rintersect( X, Y ) }.
% 0.85/1.45 { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ),
% 0.85/1.45 ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 0.85/1.45 , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), !
% 0.85/1.45 rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, !
% 0.85/1.45 rcircle( V5 ), ! rS( X, Y, Z ) }.
% 0.85/1.45 { ! rR( T, Z, X ), rinside( T, Y ), alpha5( Y, Z ), ! Y = U, ! rcircle( U )
% 0.85/1.45 , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint(
% 0.85/1.45 V1 ), ! ron( X, Y ) }.
% 0.85/1.45 { ! rR( T, Z, X ), rinside( T, Y ), alpha5( Y, Z ), ! Y = U, ! rcircle( U )
% 0.85/1.45 , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint(
% 0.85/1.45 V1 ), ! ron( X, Y ) }.
% 0.85/1.45 { ! alpha5( X, Y ), ! ron( Y, X ) }.
% 0.85/1.45 { ! alpha5( X, Y ), ! rinside( Y, X ) }.
% 0.85/1.45 { ron( Y, X ), rinside( Y, X ), alpha5( X, Y ) }.
% 0.85/1.45 { ! rR( X, Z, T ), alpha6( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U ),
% 0.85/1.45 ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2
% 0.85/1.45 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.85/1.45 { ! rR( X, Z, T ), alpha6( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle( U
% 0.85/1.45 ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 0.85/1.45 ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.85/1.45 { ! alpha6( X, Y ), ! ron( Y, X ) }.
% 0.85/1.45 { ! alpha6( X, Y ), ! rinside( Y, X ) }.
% 0.85/1.45 { ron( Y, X ), rinside( Y, X ), alpha6( X, Y ) }.
% 0.85/1.45 { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), !
% 0.85/1.45 ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline(
% 0.85/1.45 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.85/1.45 rpoint( V3 ), rR( X, Y, Z ) }.
% 0.85/1.45 { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), !
% 0.85/1.45 ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 0.85/1.45 ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 0.85/1.45 V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline(
% 0.85/1.45 V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 0.85/1.45 { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 0.85/1.45 ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 0.85/1.45 W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 0.85/1.45 ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 0.85/1.45 ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 0.85/1.45 { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 0.85/1.45 , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 0.85/1.45 ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, !
% 0.85/1.45 rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 0.85/1.45 , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 0.85/1.45 { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 0.85/1.45 , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X
% 0.85/1.45 = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.85/1.45 rpoint( V3 ), rR( Y, X, Z ) }.
% 0.85/1.45 { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 0.85/1.45 ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 0.85/1.45 ) }.
% 0.85/1.45 { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 0.85/1.45 W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 0.85/1.45 ( X, Y, Z ) }.
% 0.85/1.45 { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, !
% 0.85/1.45 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 0.85/1.45 , Z ) }.
% 0.85/1.45 { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 0.85/1.45 ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 0.85/1.45 ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 0.85/1.45 { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, !
% 0.85/1.45 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 0.85/1.45 , Z ) }.
% 0.85/1.45 { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W,
% 0.85/1.45 ! rpoint( W ), ! ron( X, Y ) }.
% 0.85/1.45 { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W,
% 0.85/1.45 ! rpoint( W ), rS( Y, X, Z ) }.
% 0.85/1.45 { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 0.85/1.45 }.
% 0.85/1.45 { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.85/1.45 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 0.85/1.45 , Y, Z ) }.
% 0.85/1.45 { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, !
% 0.85/1.45 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 0.85/1.45 , Z ) }.
% 0.85/1.45 { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.85/1.45 rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 0.85/1.45 , Y ) }.
% 0.85/1.45 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 0.85/1.45 = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.85/1.45 ron( X, Y ) }.
% 0.85/1.45 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 0.85/1.45 = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.85/1.45 ron( X, Y ) }.
% 0.85/1.45 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.85/1.45 , ! rpoint( W ), alpha7( X, Y, Z ) }.
% 0.85/1.45 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.85/1.45 , ! rpoint( W ), rR( Y, Z, X ) }.
% 0.85/1.45 { ! alpha7( X, Y, Z ), ! rR( X, Y, Z ) }.
% 0.85/1.45 { ! alpha7( X, Y, Z ), ! X = Z }.
% 0.85/1.45 { ! alpha7( X, Y, Z ), ! X = Y }.
% 0.85/1.45 { rR( X, Y, Z ), X = Z, X = Y, alpha7( X, Y, Z ) }.
% 0.85/1.45 { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 0.85/1.45 ( X, Y ) }.
% 0.85/1.45 { ! rcenter( X, Y ), rinside( X, Y ) }.
% 0.85/1.45 { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 0.85/1.45 { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, !
% 0.85/1.45 rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 0.85/1.45 V1, ! rpoint( V1 ), X = Y }.
% 0.85/1.45 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.85/1.45 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.85/1.45 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol12( V3, V4, V5, V6
% 0.85/1.45 ) ) }.
% 0.85/1.45 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.85/1.45 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.85/1.45 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol12( X, V3, V4, V5 ), X
% 0.85/1.45 ) }.
% 0.85/1.45 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.85/1.45 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.85/1.45 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha8( Y, Z, T, skol12( X, Y,
% 0.85/1.45 Z, T ) ) }.
% 0.85/1.45 { ! alpha8( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 0.85/1.45 { ! alpha8( X, Y, Z, T ), ron( T, X ) }.
% 0.85/1.45 { rS( T, Z, Y ), ! ron( T, X ), alpha8( X, Y, Z, T ) }.
% 0.85/1.45 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.85/1.45 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.85/1.45 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol13( V3, V4, V5, V6
% 0.85/1.45 ) ) }.
% 0.85/1.45 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.85/1.45 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.85/1.45 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol13( X, V3, V4, V5 ), X
% 0.85/1.45 ) }.
% 0.85/1.45 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.85/1.45 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.85/1.45 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha9( Y, Z, T, skol13( X, Y,
% 0.85/1.45 Z, T ) ) }.
% 0.85/1.45 { ! alpha9( X, Y, Z, T ), rS( T, Z, Y ) }.
% 0.85/1.45 { ! alpha9( X, Y, Z, T ), ron( T, X ) }.
% 0.85/1.45 { ! rS( T, Z, Y ), ! ron( T, X ), alpha9( X, Y, Z, T ) }.
% 0.85/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.85/1.45 alpha23( X, Y, skol14( X, Y ), skol47( X, Y ) ) }.
% 0.85/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.85/1.45 rpoint( skol14( X, Y ) ) }.
% 0.85/1.45 { ! alpha23( X, Y, Z, T ), alpha30( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha23( X, Y, Z, T ), ron( Z, X ) }.
% 0.85/1.45 { ! alpha30( X, Y, Z, T ), ! ron( Z, X ), alpha23( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha30( X, Y, Z, T ), alpha36( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha30( X, Y, Z, T ), ron( Z, Y ) }.
% 0.85/1.45 { ! alpha36( X, Y, Z, T ), ! ron( Z, Y ), alpha30( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha36( X, Y, Z, T ), alpha10( Y, Z, T ) }.
% 0.85/1.45 { ! alpha36( X, Y, Z, T ), ron( T, X ) }.
% 0.85/1.45 { ! alpha36( X, Y, Z, T ), rpoint( T ) }.
% 0.85/1.45 { ! alpha10( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha36( X, Y, Z, T )
% 0.85/1.45 }.
% 0.85/1.45 { ! alpha10( X, Y, Z ), ! Y = Z }.
% 0.85/1.45 { ! alpha10( X, Y, Z ), ron( Z, X ) }.
% 0.85/1.45 { Y = Z, ! ron( Z, X ), alpha10( X, Y, Z ) }.
% 0.85/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.85/1.45 rpoint( skol15( U, W ) ) }.
% 0.85/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.85/1.45 ron( skol15( U, Y ), Y ) }.
% 0.85/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.85/1.45 ron( skol15( X, Y ), X ) }.
% 0.85/1.45 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.85/1.45 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.85/1.45 rcircle( V1 ), rpoint( skol16( V2, V3, V4, V5 ) ) }.
% 0.85/1.45 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.85/1.45 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.85/1.45 rcircle( V1 ), ron( skol16( X, V2, V3, V4 ), X ) }.
% 0.85/1.45 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.85/1.45 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.85/1.45 rcircle( V1 ), alpha11( Y, Z, T, skol16( X, Y, Z, T ) ) }.
% 0.85/1.45 { ! alpha11( X, Y, Z, T ), rR( Y, T, Z ) }.
% 0.85/1.45 { ! alpha11( X, Y, Z, T ), ron( T, X ) }.
% 0.85/1.45 { ! rR( Y, T, Z ), ! ron( T, X ), alpha11( X, Y, Z, T ) }.
% 0.85/1.45 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.85/1.45 alpha24( X, Y, skol17( X, Y ), skol48( X, Y ) ) }.
% 0.85/1.45 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.85/1.45 rpoint( skol17( X, Y ) ) }.
% 0.85/1.45 { ! alpha24( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha24( X, Y, Z, T ), ron( Z, Y ) }.
% 0.85/1.45 { ! alpha31( X, Y, Z, T ), ! ron( Z, Y ), alpha24( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha31( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha31( X, Y, Z, T ), ron( Z, X ) }.
% 0.85/1.45 { ! alpha37( X, Y, Z, T ), ! ron( Z, X ), alpha31( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha37( X, Y, Z, T ), alpha12( X, Z, T ) }.
% 0.85/1.45 { ! alpha37( X, Y, Z, T ), ron( T, Y ) }.
% 0.85/1.45 { ! alpha37( X, Y, Z, T ), rpoint( T ) }.
% 0.85/1.45 { ! alpha12( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha37( X, Y, Z, T )
% 0.85/1.45 }.
% 0.85/1.45 { ! alpha12( X, Y, Z ), ! Y = Z }.
% 0.85/1.45 { ! alpha12( X, Y, Z ), ron( Z, X ) }.
% 0.85/1.45 { Y = Z, ! ron( Z, X ), alpha12( X, Y, Z ) }.
% 0.85/1.45 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.85/1.45 rpoint( skol18( U, W ) ) }.
% 0.85/1.45 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.85/1.45 ( skol18( U, Y ), Y ) }.
% 0.85/1.45 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.85/1.45 ( skol18( X, Y ), X ) }.
% 0.85/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ),
% 0.85/1.45 rpoint( skol19( U, W ) ) }.
% 0.85/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.85/1.45 skol19( U, Y ), Y ) }.
% 0.85/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.85/1.45 skol19( X, Y ), X ) }.
% 0.85/1.45 { ! X = Y, ! rcircle( Y ), rpoint( skol20( Z ) ) }.
% 0.85/1.45 { ! X = Y, ! rcircle( Y ), rinside( skol20( X ), X ) }.
% 0.85/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.85/1.45 U ), ! X = W, ! rcircle( W ), rpoint( skol21( V0, V1, V2 ) ) }.
% 0.85/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.85/1.45 U ), ! X = W, ! rcircle( W ), ron( skol21( X, V0, V1 ), X ) }.
% 0.85/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.85/1.45 U ), ! X = W, ! rcircle( W ), alpha13( Y, Z, skol21( X, Y, Z ) ) }.
% 0.85/1.45 { ! alpha13( X, Y, Z ), ! Z = Y }.
% 0.85/1.45 { ! alpha13( X, Y, Z ), ! Z = X }.
% 0.85/1.45 { Z = Y, Z = X, alpha13( X, Y, Z ) }.
% 0.85/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint(
% 0.85/1.45 skol22( U, W ) ) }.
% 0.85/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol22
% 0.85/1.45 ( U, Y ) = Y }.
% 0.85/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron(
% 0.85/1.45 skol22( X, Y ), X ) }.
% 0.85/1.45 { ! X = Y, ! rcircle( Y ), rpoint( skol23( Z ) ) }.
% 0.85/1.45 { ! X = Y, ! rcircle( Y ), ron( skol23( X ), X ) }.
% 0.85/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.85/1.45 skol24( U, W ) ) }.
% 0.85/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol24
% 0.85/1.45 ( X, Y ), Y, X ) }.
% 0.85/1.45 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.85/1.45 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.85/1.45 rpoint( skol25( V2, V3, V4, V5 ) ) }.
% 0.85/1.45 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.85/1.45 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.85/1.45 rS( skol25( X, Y, V2, V3 ), Y, X ) }.
% 0.85/1.45 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.85/1.45 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.85/1.45 alpha25( Y, Z, T, skol25( X, Y, Z, T ) ) }.
% 0.85/1.45 { ! alpha25( X, Y, Z, T ), alpha14( Y, Z, T ) }.
% 0.85/1.45 { ! alpha25( X, Y, Z, T ), ! T = X }.
% 0.85/1.45 { ! alpha14( Y, Z, T ), T = X, alpha25( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha14( X, Y, Z ), ! Z = Y }.
% 0.85/1.45 { ! alpha14( X, Y, Z ), ! Z = X }.
% 0.85/1.45 { Z = Y, Z = X, alpha14( X, Y, Z ) }.
% 0.85/1.45 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.85/1.45 T ), ! X = W, ! rline( W ), rpoint( skol26( V0, V1, V2 ) ) }.
% 0.85/1.45 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.85/1.45 T ), ! X = W, ! rline( W ), alpha15( Y, Z, skol26( V0, Y, Z ) ) }.
% 0.85/1.45 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.85/1.45 T ), ! X = W, ! rline( W ), rS( skol26( X, Y, Z ), Y, X ) }.
% 0.85/1.45 { ! alpha15( X, Y, Z ), ! Z = Y }.
% 0.85/1.45 { ! alpha15( X, Y, Z ), ! Z = X }.
% 0.85/1.45 { Z = Y, Z = X, alpha15( X, Y, Z ) }.
% 0.85/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.85/1.45 skol27( U, W ) ) }.
% 0.85/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol27( U,
% 0.85/1.45 Y ) = Y }.
% 0.85/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol27( X
% 0.85/1.45 , Y ), Y, X ) }.
% 0.85/1.45 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.85/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.85/1.45 rpoint( skol28( V2, V3, V4 ) ) }.
% 0.85/1.45 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.85/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.85/1.45 ! skol28( V2, V3, Z ) = Z }.
% 0.85/1.45 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.85/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.85/1.45 rR( Y, X, skol28( X, Y, Z ) ) }.
% 0.85/1.45 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.85/1.45 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol29( V0, V1 ) ) }.
% 0.85/1.45 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.85/1.45 rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol29( X, Y ) ) }.
% 0.85/1.45 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.85/1.45 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.85/1.45 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint(
% 0.85/1.45 skol30( V4, V5, V6, V7 ) ) }.
% 0.85/1.45 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.85/1.45 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.85/1.45 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha16
% 0.85/1.45 ( Z, T, skol30( V4, V5, Z, T ) ) }.
% 0.85/1.45 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.85/1.45 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.85/1.45 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR(
% 0.85/1.45 skol30( X, Y, Z, T ), X, Y ) }.
% 0.85/1.45 { ! alpha16( X, Y, Z ), ! Z = Y }.
% 0.85/1.45 { ! alpha16( X, Y, Z ), ! Z = X }.
% 0.85/1.45 { Z = Y, Z = X, alpha16( X, Y, Z ) }.
% 0.85/1.45 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.85/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.85/1.45 rpoint( skol31( V2, V3, V4 ) ) }.
% 0.85/1.45 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.85/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.85/1.45 ! skol31( V2, V3, Z ) = Z }.
% 0.85/1.45 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.85/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.85/1.45 rR( skol31( X, Y, Z ), X, Y ) }.
% 0.85/1.45 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.85/1.45 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol32( V0, V1 ) ) }.
% 0.85/1.45 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.85/1.45 rpoint( U ), ! Z = W, ! rline( W ), rR( skol32( X, Y ), X, Y ) }.
% 0.85/1.45 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.85/1.45 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.85/1.45 rpoint( skol33( V2, V3, V4 ) ) }.
% 0.85/1.45 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.85/1.45 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.85/1.45 ron( skol33( X, V2, V3 ), X ) }.
% 0.85/1.45 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.85/1.45 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.85/1.45 alpha17( Y, Z, skol33( X, Y, Z ) ) }.
% 0.85/1.45 { ! alpha17( X, Y, Z ), ! Z = Y }.
% 0.85/1.45 { ! alpha17( X, Y, Z ), ! Z = X }.
% 0.85/1.45 { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 0.85/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.85/1.45 U ), ! X = W, ! rline( W ), rpoint( skol34( V0, V1, V2 ) ) }.
% 0.85/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.85/1.45 U ), ! X = W, ! rline( W ), ron( skol34( X, V0, V1 ), X ) }.
% 0.85/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.85/1.45 U ), ! X = W, ! rline( W ), alpha18( Y, Z, skol34( X, Y, Z ) ) }.
% 0.85/1.45 { ! alpha18( X, Y, Z ), ! Z = Y }.
% 0.85/1.45 { ! alpha18( X, Y, Z ), ! Z = X }.
% 0.85/1.45 { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 0.85/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.85/1.45 skol35( U, W ) ) }.
% 0.85/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol35( U
% 0.85/1.45 , Y ) = Y }.
% 0.85/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol35
% 0.85/1.45 ( X, Y ), X ) }.
% 0.85/1.45 { ! X = Y, ! rline( Y ), rpoint( skol36( Z ) ) }.
% 0.85/1.45 { ! X = Y, ! rline( Y ), ron( skol36( X ), X ) }.
% 0.85/1.45 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.85/1.45 , ! X = V1, ! rpoint( V1 ), rpoint( skol37( V2, V3, V4, V5 ) ) }.
% 0.85/1.45 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.85/1.45 , ! X = V1, ! rpoint( V1 ), ! skol37( X, V2, V3, V4 ) = X }.
% 0.85/1.45 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.85/1.45 , ! X = V1, ! rpoint( V1 ), alpha26( Y, Z, T, skol37( X, Y, Z, T ) ) }.
% 0.85/1.45 { ! alpha26( X, Y, Z, T ), alpha19( Y, Z, T ) }.
% 0.85/1.45 { ! alpha26( X, Y, Z, T ), ! T = X }.
% 0.85/1.45 { ! alpha19( Y, Z, T ), T = X, alpha26( X, Y, Z, T ) }.
% 0.85/1.45 { ! alpha19( X, Y, Z ), ! Z = Y }.
% 0.85/1.45 { ! alpha19( X, Y, Z ), ! Z = X }.
% 0.85/1.45 { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 0.85/1.45 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.85/1.45 rpoint( skol38( V0, V1, V2 ) ) }.
% 0.85/1.45 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 0.85/1.45 skol38( X, V0, V1 ) = X }.
% 0.85/1.45 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.85/1.45 alpha20( Y, Z, skol38( X, Y, Z ) ) }.
% 0.85/1.45 { ! alpha20( X, Y, Z ), ! Z = Y }.
% 0.85/1.45 { ! alpha20( X, Y, Z ), ! Z = X }.
% 0.85/1.45 { Z = Y, Z = X, alpha20( X, Y, Z ) }.
% 0.85/1.45 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol39( U, W ) )
% 0.85/1.45 }.
% 0.85/1.45 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol39( U, Y ) = Y }.
% 0.85/1.45 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol39( X, Y ) = X }.
% 0.85/1.45 { ! X = Y, ! rpoint( Y ), rpoint( skol40( Z ) ) }.
% 0.85/1.45 { ! X = Y, ! rpoint( Y ), ! skol40( X ) = X }.
% 0.85/1.45 { rpoint( vd14 ) }.
% 0.85/1.45 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha38( X, Y, Z ) }.
% 0.85/1.45 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha32( X ) }.
% 0.85/1.45 { ! alpha38( X, Y, Z ), alpha41( X, Y, Z ) }.
% 0.85/1.45 { ! alpha38( X, Y, Z ), alpha27( Y ) }.
% 0.85/1.45 { ! alpha41( X, Y, Z ), ! alpha27( Y ), alpha38( X, Y, Z ) }.
% 0.85/1.45 { ! alpha41( X, Y, Z ), alpha43( X, Y, Z ) }.
% 0.85/1.45 { ! alpha41( X, Y, Z ), alpha21( Z ) }.
% 0.85/1.45 { ! alpha43( X, Y, Z ), ! alpha21( Z ), alpha41( X, Y, Z ) }.
% 0.85/1.45 { ! alpha43( X, Y, Z ), ! Y = Z }.
% 0.85/1.45 { ! alpha43( X, Y, Z ), ! X = Z }.
% 0.85/1.45 { ! alpha43( X, Y, Z ), ! X = Y }.
% 0.85/1.45 { Y = Z, X = Z, X = Y, alpha43( X, Y, Z ) }.
% 0.85/1.45 { ! alpha32( X ), rpoint( skol41( Y ) ) }.
% 0.85/1.45 { ! alpha32( X ), X = skol41( X ) }.
% 0.85/1.45 { ! X = Y, ! rpoint( Y ), alpha32( X ) }.
% 0.85/1.46 { ! alpha27( X ), rpoint( skol42( Y ) ) }.
% 0.85/1.46 { ! alpha27( X ), X = skol42( X ) }.
% 0.85/1.46 { ! X = Y, ! rpoint( Y ), alpha27( X ) }.
% 0.85/1.46 { ! alpha21( X ), rpoint( skol43( Y ) ) }.
% 0.85/1.46 { ! alpha21( X ), X = skol43( X ) }.
% 0.85/1.46 { ! X = Y, ! rpoint( Y ), alpha21( X ) }.
% 0.85/1.46 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.85/1.46 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.85/1.46 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 0.85/1.46 , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 0.85/1.46 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.85/1.46 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.85/1.46 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 0.85/1.46 , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 0.85/1.46 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.85/1.46 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.85/1.46 rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T )
% 0.85/1.46 = vperp }.
% 0.85/1.46 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.85/1.46 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.85/1.46 rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 0.85/1.46 , Z, Y ) }.
% 0.85/1.46 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.85/1.46 rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 0.85/1.46 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.85/1.46 rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 0.85/1.46 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 0.85/1.46 .
% 0.85/1.46 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.85/1.46 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 0.85/1.46 , Y, Z ) = v0, ron( Z, T ) }.
% 0.85/1.46 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.85/1.46 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 0.85/1.46 , T ), vg( X, Y, Z ) = v0 }.
% 0.85/1.46 { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 0.85/1.46 , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W,
% 0.85/1.46 T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.85/1.46 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z =
% 0.85/1.46 V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ),
% 0.85/1.46 vg( X, Y, Z ) = vg( T, U, W ) }.
% 0.85/1.46 { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 0.85/1.46 ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ),
% 0.85/1.46 X = Y }.
% 0.85/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.85/1.46 rreal( skol44( V0, V1, V2 ) ) }.
% 0.85/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.85/1.46 vg( X, Y, Z ) = skol44( X, Y, Z ) }.
% 0.85/1.46 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.85/1.46 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.85/1.46 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.85/1.46 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.85/1.46 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.85/1.46 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y,
% 0.85/1.46 Z ), rS( Y, X, T ) }.
% 0.85/1.46 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.85/1.46 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.85/1.46 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.85/1.46 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.85/1.46 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.85/1.46 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 0.85/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.85/1.46 vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 0.85/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.85/1.46 vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 0.85/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.85/1.46 rgeq( vg( X, Y, Z ), v0 ) }.
% 0.85/1.46 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 0.85/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.85/1.46 rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 0.85/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.85/1.46 rleq( v0, vangle( X, Y, Z ) ) }.
% 0.85/1.46 { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.85/1.46 rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 0.85/1.46 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 0.85/1.46 .
% 0.85/1.46
% 0.85/1.46 *** allocated 15000 integers for clauses
% 0.85/1.46 *** allocated 22500 integers for clauses
% 0.85/1.46 percentage equality = 0.371807, percentage horn = 0.736994
% 0.85/1.46 This is a problem with some equality
% 0.85/1.46
% 0.85/1.46
% 0.85/1.46
% 0.85/1.46 Options Used:
% 0.85/1.46
% 0.85/1.46 useres = 1
% 0.85/1.46 useparamod = 1
% 0.85/1.46 useeqrefl = 1
% 0.85/1.46 useeqfact = 1
% 0.85/1.46 usefactor = 1
% 0.85/1.46 usesimpsplitting = 0
% 0.85/1.46 usesimpdemod = 5
% 0.85/1.46 usesimpres = 3
% 0.85/1.46
% 0.85/1.46 resimpinuse = 1000
% 0.85/1.46 resimpclauses = 20000
% 0.85/1.46 substype = eqrewr
% 0.85/1.46 backwardsubs = 1
% 0.85/1.46 selectoldest = 5
% 0.85/1.46
% 0.85/1.46 litorderings [0] = split
% 0.85/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.46
% 0.85/1.46 termordering = kbo
% 0.85/1.46
% 0.85/1.46 litapriori = 0
% 0.85/1.46 termapriori = 1
% 0.85/1.46 litaposteriori = 0
% 0.85/1.46 termaposteriori = 0
% 0.85/1.46 demodaposteriori = 0
% 0.85/1.46 ordereqreflfact = 0
% 0.85/1.46
% 0.85/1.46 litselect = negord
% 0.85/1.46
% 0.85/1.46 maxweight = 15
% 0.85/1.46 maxdepth = 30000
% 0.85/1.46 maxlength = 115
% 0.85/1.46 maxnrvars = 195
% 0.85/1.46 excuselevel = 1
% 0.85/1.46 increasemaxweight = 1
% 0.85/1.46
% 0.85/1.46 maxselected = 10000000
% 0.85/1.46 maxnrclauses = 10000000
% 0.85/1.46
% 0.85/1.46 showgenerated = 0
% 0.85/1.46 showkept = 0
% 0.85/1.46 showselected = 0
% 0.85/1.46 showdeleted = 0
% 0.85/1.46 showresimp = 1
% 0.85/1.46 showstatus = 2000
% 0.85/1.46
% 0.85/1.46 prologoutput = 0
% 0.85/1.46 nrgoals = 5000000
% 0.85/1.46 totalproof = 1
% 0.85/1.46
% 0.85/1.46 Symbols occurring in the translation:
% 0.85/1.46
% 0.85/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.46 . [1, 2] (w:1, o:781, a:1, s:1, b:0),
% 0.85/1.46 ! [4, 1] (w:0, o:757, a:1, s:1, b:0),
% 0.85/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.46 vd1125 [35, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.85/1.46 vd1139 [36, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.85/1.46 rinside [37, 2] (w:1, o:805, a:1, s:1, b:0),
% 0.85/1.46 vd1136 [38, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.85/1.46 ron [39, 2] (w:1, o:806, a:1, s:1, b:0),
% 0.85/1.46 vd1123 [40, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.85/1.46 rcenter [41, 2] (w:1, o:807, a:1, s:1, b:0),
% 0.85/1.46 rcircle [42, 1] (w:1, o:762, a:1, s:1, b:0),
% 0.85/1.46 vd1138 [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.85/1.46 rline [44, 1] (w:1, o:763, a:1, s:1, b:0),
% 0.85/1.46 vd1127 [45, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.85/1.46 vd1129 [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.85/1.46 vf [47, 2] (w:1, o:808, a:1, s:1, b:0),
% 0.85/1.46 rpoint [48, 1] (w:1, o:764, a:1, s:1, b:0),
% 0.85/1.46 rless [49, 2] (w:1, o:809, a:1, s:1, b:0),
% 0.85/1.46 vd1130 [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.85/1.46 vd1128 [51, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.85/1.46 vd1126 [52, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.85/1.46 vd1124 [53, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.85/1.46 v0 [58, 0] (w:1, o:495, a:1, s:1, b:0),
% 0.85/1.46 vskolem1078 [79, 4] (w:1, o:864, a:1, s:1, b:0),
% 0.85/1.46 vskolem1052 [84, 4] (w:1, o:865, a:1, s:1, b:0),
% 0.85/1.46 vangle [97, 3] (w:1, o:837, a:1, s:1, b:0),
% 0.85/1.46 vplus [98, 2] (w:1, o:810, a:1, s:1, b:0),
% 0.85/1.46 rS [99, 3] (w:1, o:839, a:1, s:1, b:0),
% 0.85/1.46 rR [108, 3] (w:1, o:838, a:1, s:1, b:0),
% 0.85/1.46 rreal [119, 1] (w:1, o:765, a:1, s:1, b:0),
% 0.85/1.46 vd684 [237, 0] (w:1, o:751, a:1, s:1, b:0),
% 0.85/1.46 rintersect [244, 2] (w:1, o:811, a:1, s:1, b:0),
% 0.85/1.46 vd14 [681, 0] (w:1, o:754, a:1, s:1, b:0),
% 0.85/1.46 vtriangle [686, 3] (w:1, o:840, a:1, s:1, b:0),
% 0.85/1.46 rtriangle [687, 1] (w:1, o:766, a:1, s:1, b:0),
% 0.85/1.46 vg [701, 3] (w:1, o:841, a:1, s:1, b:0),
% 0.85/1.46 vperp [712, 0] (w:1, o:756, a:1, s:1, b:0),
% 0.85/1.46 rgeq [785, 2] (w:1, o:812, a:1, s:1, b:0),
% 0.85/1.46 rleq [796, 2] (w:1, o:813, a:1, s:1, b:0),
% 0.85/1.46 alpha1 [807, 1] (w:1, o:767, a:1, s:1, b:1),
% 0.85/1.46 alpha2 [808, 4] (w:1, o:867, a:1, s:1, b:1),
% 0.85/1.46 alpha3 [809, 4] (w:1, o:872, a:1, s:1, b:1),
% 0.85/1.46 alpha4 [810, 2] (w:1, o:814, a:1, s:1, b:1),
% 0.85/1.46 alpha5 [811, 2] (w:1, o:815, a:1, s:1, b:1),
% 0.85/1.46 alpha6 [812, 2] (w:1, o:816, a:1, s:1, b:1),
% 0.85/1.46 alpha7 [813, 3] (w:1, o:842, a:1, s:1, b:1),
% 0.85/1.46 alpha8 [814, 4] (w:1, o:873, a:1, s:1, b:1),
% 1.52/1.89 alpha9 [815, 4] (w:1, o:874, a:1, s:1, b:1),
% 1.52/1.89 alpha10 [816, 3] (w:1, o:843, a:1, s:1, b:1),
% 1.52/1.89 alpha11 [817, 4] (w:1, o:866, a:1, s:1, b:1),
% 1.52/1.89 alpha12 [818, 3] (w:1, o:844, a:1, s:1, b:1),
% 1.52/1.89 alpha13 [819, 3] (w:1, o:845, a:1, s:1, b:1),
% 1.52/1.89 alpha14 [820, 3] (w:1, o:846, a:1, s:1, b:1),
% 1.52/1.89 alpha15 [821, 3] (w:1, o:847, a:1, s:1, b:1),
% 1.52/1.89 alpha16 [822, 3] (w:1, o:848, a:1, s:1, b:1),
% 1.52/1.89 alpha17 [823, 3] (w:1, o:849, a:1, s:1, b:1),
% 1.52/1.89 alpha18 [824, 3] (w:1, o:850, a:1, s:1, b:1),
% 1.52/1.89 alpha19 [825, 3] (w:1, o:851, a:1, s:1, b:1),
% 1.52/1.89 alpha20 [826, 3] (w:1, o:852, a:1, s:1, b:1),
% 1.52/1.89 alpha21 [827, 1] (w:1, o:768, a:1, s:1, b:1),
% 1.52/1.89 alpha22 [828, 6] (w:1, o:886, a:1, s:1, b:1),
% 1.52/1.89 alpha23 [829, 4] (w:1, o:868, a:1, s:1, b:1),
% 1.52/1.89 alpha24 [830, 4] (w:1, o:869, a:1, s:1, b:1),
% 1.52/1.89 alpha25 [831, 4] (w:1, o:870, a:1, s:1, b:1),
% 1.52/1.89 alpha26 [832, 4] (w:1, o:871, a:1, s:1, b:1),
% 1.52/1.89 alpha27 [833, 1] (w:1, o:769, a:1, s:1, b:1),
% 1.52/1.89 alpha28 [834, 7] (w:1, o:892, a:1, s:1, b:1),
% 1.52/1.89 alpha29 [835, 6] (w:1, o:887, a:1, s:1, b:1),
% 1.52/1.89 alpha30 [836, 4] (w:1, o:875, a:1, s:1, b:1),
% 1.52/1.89 alpha31 [837, 4] (w:1, o:876, a:1, s:1, b:1),
% 1.52/1.89 alpha32 [838, 1] (w:1, o:770, a:1, s:1, b:1),
% 1.52/1.89 alpha33 [839, 10] (w:1, o:897, a:1, s:1, b:1),
% 1.52/1.89 alpha34 [840, 7] (w:1, o:893, a:1, s:1, b:1),
% 1.52/1.89 alpha35 [841, 6] (w:1, o:888, a:1, s:1, b:1),
% 1.52/1.89 alpha36 [842, 4] (w:1, o:877, a:1, s:1, b:1),
% 1.52/1.89 alpha37 [843, 4] (w:1, o:878, a:1, s:1, b:1),
% 1.52/1.89 alpha38 [844, 3] (w:1, o:853, a:1, s:1, b:1),
% 1.52/1.89 alpha39 [845, 7] (w:1, o:894, a:1, s:1, b:1),
% 1.52/1.89 alpha40 [846, 6] (w:1, o:889, a:1, s:1, b:1),
% 1.52/1.89 alpha41 [847, 3] (w:1, o:854, a:1, s:1, b:1),
% 1.52/1.89 alpha42 [848, 6] (w:1, o:890, a:1, s:1, b:1),
% 1.52/1.89 alpha43 [849, 3] (w:1, o:855, a:1, s:1, b:1),
% 1.52/1.89 skol1 [850, 2] (w:1, o:817, a:1, s:1, b:1),
% 1.52/1.89 skol2 [851, 2] (w:1, o:825, a:1, s:1, b:1),
% 1.52/1.89 skol3 [852, 2] (w:1, o:830, a:1, s:1, b:1),
% 1.52/1.89 skol4 [853, 1] (w:1, o:772, a:1, s:1, b:1),
% 1.52/1.89 skol5 [854, 4] (w:1, o:879, a:1, s:1, b:1),
% 1.52/1.89 skol6 [855, 2] (w:1, o:831, a:1, s:1, b:1),
% 1.52/1.89 skol7 [856, 1] (w:1, o:773, a:1, s:1, b:1),
% 1.52/1.89 skol8 [857, 7] (w:1, o:895, a:1, s:1, b:1),
% 1.52/1.89 skol9 [858, 6] (w:1, o:891, a:1, s:1, b:1),
% 1.52/1.89 skol10 [859, 2] (w:1, o:818, a:1, s:1, b:1),
% 1.52/1.89 skol11 [860, 2] (w:1, o:819, a:1, s:1, b:1),
% 1.52/1.89 skol12 [861, 4] (w:1, o:880, a:1, s:1, b:1),
% 1.52/1.89 skol13 [862, 4] (w:1, o:881, a:1, s:1, b:1),
% 1.52/1.89 skol14 [863, 2] (w:1, o:820, a:1, s:1, b:1),
% 1.52/1.89 skol15 [864, 2] (w:1, o:821, a:1, s:1, b:1),
% 1.52/1.89 skol16 [865, 4] (w:1, o:882, a:1, s:1, b:1),
% 1.52/1.89 skol17 [866, 2] (w:1, o:822, a:1, s:1, b:1),
% 1.52/1.89 skol18 [867, 2] (w:1, o:823, a:1, s:1, b:1),
% 1.52/1.89 skol19 [868, 2] (w:1, o:824, a:1, s:1, b:1),
% 1.52/1.89 skol20 [869, 1] (w:1, o:774, a:1, s:1, b:1),
% 1.52/1.89 skol21 [870, 3] (w:1, o:856, a:1, s:1, b:1),
% 1.52/1.89 skol22 [871, 2] (w:1, o:826, a:1, s:1, b:1),
% 1.52/1.89 skol23 [872, 1] (w:1, o:775, a:1, s:1, b:1),
% 1.52/1.89 skol24 [873, 2] (w:1, o:827, a:1, s:1, b:1),
% 1.52/1.89 skol25 [874, 4] (w:1, o:883, a:1, s:1, b:1),
% 1.52/1.89 skol26 [875, 3] (w:1, o:857, a:1, s:1, b:1),
% 1.52/1.89 skol27 [876, 2] (w:1, o:828, a:1, s:1, b:1),
% 1.52/1.89 skol28 [877, 3] (w:1, o:858, a:1, s:1, b:1),
% 1.52/1.89 skol29 [878, 2] (w:1, o:829, a:1, s:1, b:1),
% 1.52/1.89 skol30 [879, 4] (w:1, o:884, a:1, s:1, b:1),
% 1.52/1.89 skol31 [880, 3] (w:1, o:859, a:1, s:1, b:1),
% 1.52/1.89 skol32 [881, 2] (w:1, o:832, a:1, s:1, b:1),
% 1.52/1.89 skol33 [882, 3] (w:1, o:860, a:1, s:1, b:1),
% 1.52/1.89 skol34 [883, 3] (w:1, o:861, a:1, s:1, b:1),
% 1.52/1.89 skol35 [884, 2] (w:1, o:833, a:1, s:1, b:1),
% 1.52/1.89 skol36 [885, 1] (w:1, o:771, a:1, s:1, b:1),
% 1.52/1.89 skol37 [886, 4] (w:1, o:885, a:1, s:1, b:1),
% 1.52/1.89 skol38 [887, 3] (w:1, o:862, a:1, s:1, b:1),
% 1.52/1.89 skol39 [888, 2] (w:1, o:834, a:1, s:1, b:1),
% 1.52/1.89 skol40 [889, 1] (w:1, o:776, a:1, s:1, b:1),
% 1.52/1.89 skol41 [890, 1] (w:1, o:777, a:1, s:1, b:1),
% 1.52/1.89 skol42 [891, 1] (w:1, o:778, a:1, s:1, b:1),
% 1.52/1.89 skol43 [892, 1] (w:1, o:779, a:1, s:1, b:1),
% 1.52/1.89 skol44 [893, 3] (w:1, o:863, a:1, s:1, b:1),
% 1.52/1.89 skol45 [894, 7] (w:1, o:896, a:1, s:1, b:1),
% 1.52/1.89 skol46 [895, 1] (w:1, o:780, a:1, s:1, b:1),
% 1.52/1.89 skol47 [896, 2] (w:1, o:835, a:1, s:1, b:1),
% 1.52/1.89 skol48 [897, 2] (w:1, o:836, a:1, s:1, b:1).
% 1.52/1.89
% 1.52/1.89
% 1.52/1.89 Starting Search:
% 1.52/1.89
% 1.52/1.89 *** allocated 33750 integers for clauses
% 1.52/1.89 *** allocated 50625 integers for clauses
% 1.52/1.89 *** allocated 75937 integers for termspace/termends
% 1.52/1.89 matchinglists is full
% 1.52/1.89
% 1.52/1.89 Memory use:
% 1.52/1.89
% 1.52/1.89 space for terms: 52557
% 1.52/1.89 space for clauses: 38914
% 1.52/1.89
% 1.52/1.89
% 1.52/1.89 clauses generated: 17232
% 1.52/1.89 clauses kept: 725
% 1.52/1.89 clauses selected: 0
% 1.52/1.89 clauses deleted: 0
% 1.52/1.89 clauses inuse deleted: 0
% 1.52/1.89
% 1.52/1.89 subsentry: 31292
% 1.52/1.89 literals s-matched: 25396
% 1.52/1.89 literals matched: 20943
% 1.52/1.89 full subsumption: 20929
% 1.52/1.89
% 1.52/1.89 checksum: 848807975
% 1.52/1.89
% 1.52/1.89
% 1.52/1.89 Bliksem ended
%------------------------------------------------------------------------------