TSTP Solution File: GEO347+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO347+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 02:53:49 EDT 2022
% Result : Unknown 2.03s 2.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO347+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 00:10:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.82/1.47 *** allocated 10000 integers for termspace/termends
% 0.82/1.47 *** allocated 10000 integers for clauses
% 0.82/1.47 *** allocated 10000 integers for justifications
% 0.82/1.47 Bliksem 1.12
% 0.82/1.47
% 0.82/1.47
% 0.82/1.47 Automatic Strategy Selection
% 0.82/1.47
% 0.82/1.47 *** allocated 15000 integers for termspace/termends
% 0.82/1.47 *** allocated 22500 integers for termspace/termends
% 0.82/1.47 *** allocated 33750 integers for termspace/termends
% 0.82/1.47 *** allocated 50625 integers for termspace/termends
% 0.82/1.47
% 0.82/1.47 Clauses:
% 0.82/1.47
% 0.82/1.47 { ! || }.
% 0.82/1.47 { rless( vangle( vd1409, vd1401, vd1400 ), vangle( vd1399, vd1409, vd1401 )
% 0.82/1.47 ) }.
% 0.82/1.47 { vangle( vd1399, vd1409, vd1401 ) = vplus( vangle( vd1399, vd1401, vd1400
% 0.82/1.47 ), vangle( vd1400, vd1401, vd1409 ) ) }.
% 0.82/1.47 { vd1418 = vskolem1419 }.
% 0.82/1.47 { ! ron( vd1409, X ), ! ron( vd1401, X ), ! rline( X ), X = vskolem1419 }.
% 0.82/1.47 { ron( vd1409, vskolem1419 ) }.
% 0.82/1.47 { ron( vd1401, vskolem1419 ) }.
% 0.82/1.47 { rline( vskolem1419 ) }.
% 0.82/1.47 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.82/1.47 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.82/1.47 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.82/1.47 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.82/1.47 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 0.82/1.47 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.82/1.47 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.82/1.47 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.82/1.47 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.82/1.47 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 0.82/1.47 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.82/1.47 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.82/1.47 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.82/1.47 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T,
% 0.82/1.47 W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 0.82/1.47 .
% 0.82/1.47 { ! vd1409 = vd1401 }.
% 0.82/1.47 { rpoint( vd1409 ) }.
% 0.82/1.47 { vd1406 = vd1407 }.
% 0.82/1.47 { ron( vd1400, vd1406 ) }.
% 0.82/1.47 { ron( vd1399, vd1406 ) }.
% 0.82/1.47 { rline( vd1407 ) }.
% 0.82/1.47 { ! vd1400 = vd1401 }.
% 0.82/1.47 { ! vd1399 = vd1401 }.
% 0.82/1.47 { ! vd1399 = vd1400 }.
% 0.82/1.47 { vd1401 = skol1 }.
% 0.82/1.47 { rpoint( skol1 ) }.
% 0.82/1.47 { vd1400 = skol49 }.
% 0.82/1.47 { rpoint( skol49 ) }.
% 0.82/1.47 { vd1399 = skol54 }.
% 0.82/1.47 { rpoint( skol54 ) }.
% 0.82/1.47 { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, !
% 0.82/1.47 rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 0.82/1.47 V1, ! rpoint( V1 ), X = Y }.
% 0.82/1.47 { vd1415 = vskolem1416 }.
% 0.82/1.47 { ! ron( vd1399, X ), ! ron( vd1401, X ), ! rline( X ), X = vskolem1416 }.
% 0.82/1.47 { ron( vd1399, vskolem1416 ) }.
% 0.82/1.47 { ron( vd1401, vskolem1416 ) }.
% 0.82/1.47 { rline( vskolem1416 ) }.
% 0.82/1.47 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.82/1.47 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 0.82/1.47 ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 0.82/1.47 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.82/1.47 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.82/1.47 vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 0.82/1.47 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.82/1.47 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.82/1.47 vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 0.82/1.47 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol2( U, W
% 0.82/1.47 ) ) }.
% 0.82/1.47 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol2( U,
% 0.82/1.47 Y ) ) }.
% 0.82/1.47 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol2( X,
% 0.82/1.47 Y ) ) }.
% 0.82/1.47 { vf( vd1400, vd1401 ) = vf( vd1400, vd1409 ) }.
% 0.82/1.47 { vf( vd1399, vd1401 ) = vf( vd1399, vd1409 ) }.
% 0.82/1.47 { rS( vd1401, vd1409, vd1406 ) }.
% 0.82/1.47 { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.82/1.47 Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V2, ! V1 = V3, ! rR
% 0.82/1.47 ( Z, X, V1 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V2 ), vangle( Z
% 0.82/1.47 , Y, V0 ) = vangle( Y, Z, V1 ) }.
% 0.82/1.47 { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.82/1.47 Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V1, ! V2 = V3, ! rR
% 0.82/1.47 ( Z, X, V2 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V1 ), vangle( X
% 0.82/1.47 , Y, Z ) = vangle( X, Z, Y ) }.
% 0.82/1.47 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.82/1.47 rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 0.82/1.47 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.82/1.47 rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 0.82/1.47 { vangle( vd1399, vd1401, vd1409 ) = vangle( vd1399, vd1409, vd1401 ) }.
% 0.82/1.47 { ! vangle( X, Y, Z ) = vangle( X, Z, Y ), Y = Z, X = Z, X = Y, ! Z = T, !
% 0.82/1.47 rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), vf( X, Y ) =
% 0.82/1.47 vf( X, Z ) }.
% 0.82/1.47 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.82/1.47 rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 0.82/1.47 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.82/1.47 rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 0.82/1.47 { rline( skol3( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.82/1.47 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint(
% 0.82/1.47 V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.82/1.47 = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, !
% 0.82/1.47 rpoint( V8 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.82/1.47 { ron( T, skol3( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.82/1.47 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint(
% 0.82/1.47 V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.82/1.47 = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, !
% 0.82/1.47 rpoint( V7 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.82/1.47 { alpha1( U, W, skol3( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.82/1.47 , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.82/1.47 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z,
% 0.82/1.47 X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X =
% 0.82/1.47 V5, ! rpoint( V5 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.82/1.47 { ! alpha1( X, Y, Z ), ron( Y, Z ) }.
% 0.82/1.47 { ! alpha1( X, Y, Z ), ron( X, Z ) }.
% 0.82/1.47 { ! ron( Y, Z ), ! ron( X, Z ), alpha1( X, Y, Z ) }.
% 0.82/1.47 { rline( skol4( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.82/1.47 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint(
% 0.82/1.47 V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.82/1.47 = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, !
% 0.82/1.47 rpoint( V8 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.82/1.47 { ron( T, skol4( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.82/1.47 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint(
% 0.82/1.47 V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.82/1.47 = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, !
% 0.82/1.47 rpoint( V7 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.82/1.47 { alpha2( U, W, skol4( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.82/1.47 , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.82/1.47 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z,
% 0.82/1.47 X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X =
% 0.82/1.47 V5, ! rpoint( V5 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.82/1.47 { ! alpha2( X, Y, Z ), ron( Y, Z ) }.
% 0.82/1.47 { ! alpha2( X, Y, Z ), ron( X, Z ) }.
% 0.82/1.47 { ! ron( Y, Z ), ! ron( X, Z ), alpha2( X, Y, Z ) }.
% 0.82/1.47 { rline( skol5( W, V0, V1 ) ), ! vangle( X, V2, Y ) = vangle( Z, U, T ), !
% 0.82/1.47 vf( V2, Y ) = vf( U, T ), ! vf( V2, X ) = vf( U, Z ), ! T = V3, ! rpoint
% 0.82/1.47 ( V3 ), ! Z = V4, ! rpoint( V4 ), ! U = V5, ! rpoint( V5 ), X = Y, V2 = Y
% 0.82/1.47 , V2 = X, ! Y = V6, ! rpoint( V6 ), ! X = V7, ! rpoint( V7 ), ! V2 = V8,
% 0.82/1.47 ! rpoint( V8 ), vf( X, Y ) = vf( Z, T ) }.
% 0.82/1.47 { ron( U, skol5( W, V0, U ) ), ! vangle( X, V1, Y ) = vangle( Z, U, T ), !
% 0.82/1.47 vf( V1, Y ) = vf( U, T ), ! vf( V1, X ) = vf( U, Z ), ! T = V2, ! rpoint
% 0.82/1.47 ( V2 ), ! Z = V3, ! rpoint( V3 ), ! U = V4, ! rpoint( V4 ), X = Y, V1 = Y
% 0.82/1.47 , V1 = X, ! Y = V5, ! rpoint( V5 ), ! X = V6, ! rpoint( V6 ), ! V1 = V7,
% 0.82/1.47 ! rpoint( V7 ), vf( X, Y ) = vf( Z, T ) }.
% 0.82/1.47 { alpha3( Z, T, skol5( Z, T, U ) ), ! vangle( X, W, Y ) = vangle( Z, U, T )
% 0.82/1.47 , ! vf( W, Y ) = vf( U, T ), ! vf( W, X ) = vf( U, Z ), ! T = V0, !
% 0.82/1.47 rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! U = V2, ! rpoint( V2 ), X = Y,
% 0.82/1.47 W = Y, W = X, ! Y = V3, ! rpoint( V3 ), ! X = V4, ! rpoint( V4 ), ! W =
% 0.82/1.47 V5, ! rpoint( V5 ), vf( X, Y ) = vf( Z, T ) }.
% 0.82/1.47 { ! alpha3( X, Y, Z ), ron( Y, Z ) }.
% 0.82/1.47 { ! alpha3( X, Y, Z ), ron( X, Z ) }.
% 0.82/1.47 { ! ron( Y, Z ), ! ron( X, Z ), alpha3( X, Y, Z ) }.
% 0.82/1.47 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.47 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.47 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol6( V3, V4, V5, V6 )
% 0.82/1.47 ) }.
% 0.82/1.47 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.47 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.47 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol6( X, V3, V4, V5 ), X
% 0.82/1.47 ) }.
% 0.82/1.47 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.47 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.47 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha4( Y, Z, T, skol6( X, Y, Z
% 0.82/1.47 , T ) ) }.
% 0.82/1.47 { ! alpha4( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 0.82/1.47 { ! alpha4( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.47 { rS( T, Z, Y ), ! ron( T, X ), alpha4( X, Y, Z, T ) }.
% 0.82/1.47 { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint(
% 0.82/1.47 V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint(
% 0.82/1.47 Y ), vf( X, vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) = vf( U, V0 ) }.
% 0.82/1.47 { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint(
% 0.82/1.47 V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint(
% 0.82/1.47 Y ), rR( vskolem1120( X, Y, Z, T, U, W, V0, V1 ), X, Z ) }.
% 0.82/1.47 { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint(
% 0.82/1.47 V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint(
% 0.82/1.47 Y ), rpoint( vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) }.
% 0.82/1.47 { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 0.82/1.47 ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ),
% 0.82/1.47 X = Y }.
% 0.82/1.47 { ! X = Y, ! rcircle( Y ), rpoint( skol7( Z ) ) }.
% 0.82/1.47 { ! X = Y, ! rcircle( Y ), ! rinside( skol7( X ), X ) }.
% 0.82/1.47 { ! X = Y, ! rcircle( Y ), ! ron( skol7( X ), X ) }.
% 0.82/1.47 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U
% 0.82/1.47 = X, ! rpoint( W ), vf( X, Y ) = vf( U, vskolem1078( U, W, X, Y ) ) }.
% 0.82/1.47 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U
% 0.82/1.47 = X, ! rpoint( W ), rpoint( vskolem1078( U, W, X, Y ) ) }.
% 0.82/1.47 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.47 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.47 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol8( V3, V4, V5, V6 )
% 0.82/1.47 ) }.
% 0.82/1.47 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.47 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.47 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol8( X, V3, V4, V5 ), X
% 0.82/1.47 ) }.
% 0.82/1.47 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.47 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.47 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha5( Y, Z, T, skol8( X, Y, Z
% 0.82/1.47 , T ) ) }.
% 0.82/1.47 { ! alpha5( X, Y, Z, T ), rS( T, Z, Y ) }.
% 0.82/1.47 { ! alpha5( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.47 { ! rS( T, Z, Y ), ! ron( T, X ), alpha5( X, Y, Z, T ) }.
% 0.82/1.47 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( Z, vskolem1052
% 0.82/1.47 ( X, Y, Z, T ) ) = vf( vskolem1052( X, Y, Z, T ), X ) }.
% 0.82/1.47 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( X, Z ) = vf( Z
% 0.82/1.47 , vskolem1052( X, Y, Z, T ) ) }.
% 0.82/1.47 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), rpoint(
% 0.82/1.47 vskolem1052( X, Y, Z, T ) ) }.
% 0.82/1.47 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.82/1.47 , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 0.82/1.47 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 0.82/1.47 = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.82/1.47 ron( X, Y ) }.
% 0.82/1.47 { ! X = Y, ! rcircle( Y ), rpoint( skol9( Z ) ) }.
% 0.82/1.47 { ! X = Y, ! rcircle( Y ), rinside( skol9( X ), X ) }.
% 0.82/1.47 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 0.82/1.47 .
% 0.82/1.47 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol10( U, W ) ) }
% 0.82/1.47 .
% 0.82/1.47 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol10( X, Y
% 0.82/1.47 ) }.
% 0.82/1.47 { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 0.82/1.47 { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, !
% 0.82/1.47 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 0.82/1.47 , Z ) }.
% 0.82/1.47 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 0.82/1.47 = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.82/1.47 ron( X, Y ) }.
% 0.82/1.47 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.82/1.47 , ! rpoint( W ), alpha6( X, Y, Z ) }.
% 0.82/1.47 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.82/1.47 , ! rpoint( W ), rR( Y, Z, X ) }.
% 0.82/1.47 { ! alpha6( X, Y, Z ), ! rR( X, Y, Z ) }.
% 0.82/1.47 { ! alpha6( X, Y, Z ), ! X = Z }.
% 0.82/1.47 { ! alpha6( X, Y, Z ), ! X = Y }.
% 0.82/1.47 { rR( X, Y, Z ), X = Z, X = Y, alpha6( X, Y, Z ) }.
% 0.82/1.47 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.47 alpha25( X, Y, skol11( X, Y ), skol50( X, Y ) ) }.
% 0.82/1.47 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.47 rpoint( skol11( X, Y ) ) }.
% 0.82/1.47 { ! alpha25( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 0.82/1.47 { ! alpha25( X, Y, Z, T ), ron( Z, X ) }.
% 0.82/1.47 { ! alpha31( X, Y, Z, T ), ! ron( Z, X ), alpha25( X, Y, Z, T ) }.
% 0.82/1.47 { ! alpha31( X, Y, Z, T ), alpha36( X, Y, Z, T ) }.
% 0.82/1.47 { ! alpha31( X, Y, Z, T ), ron( Z, Y ) }.
% 0.82/1.47 { ! alpha36( X, Y, Z, T ), ! ron( Z, Y ), alpha31( X, Y, Z, T ) }.
% 0.82/1.47 { ! alpha36( X, Y, Z, T ), alpha7( Y, Z, T ) }.
% 0.82/1.47 { ! alpha36( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.47 { ! alpha36( X, Y, Z, T ), rpoint( T ) }.
% 0.82/1.47 { ! alpha7( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha36( X, Y, Z, T )
% 0.82/1.47 }.
% 0.82/1.47 { ! alpha7( X, Y, Z ), ! Y = Z }.
% 0.82/1.47 { ! alpha7( X, Y, Z ), ron( Z, X ) }.
% 0.82/1.47 { Y = Z, ! ron( Z, X ), alpha7( X, Y, Z ) }.
% 0.82/1.47 { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 0.82/1.47 , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W,
% 0.82/1.47 T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.82/1.47 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z =
% 0.82/1.47 V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ),
% 0.82/1.47 vg( X, Y, Z ) = vg( T, U, W ) }.
% 0.82/1.47 { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.82/1.47 rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 0.82/1.47 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 0.82/1.47 }.
% 0.82/1.47 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 0.82/1.47 }.
% 0.82/1.47 { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W,
% 0.82/1.47 ! rpoint( W ), rS( Y, X, Z ) }.
% 0.82/1.47 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.47 U ), ! X = W, ! rcircle( W ), rpoint( skol12( V0, V1, V2 ) ) }.
% 0.82/1.47 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.47 U ), ! X = W, ! rcircle( W ), ron( skol12( X, V0, V1 ), X ) }.
% 0.82/1.47 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.47 U ), ! X = W, ! rcircle( W ), alpha8( Y, Z, skol12( X, Y, Z ) ) }.
% 0.82/1.47 { ! alpha8( X, Y, Z ), ! Z = Y }.
% 0.82/1.47 { ! alpha8( X, Y, Z ), ! Z = X }.
% 0.82/1.47 { Z = Y, Z = X, alpha8( X, Y, Z ) }.
% 0.82/1.47 { ! V4 = V5, alpha32( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 0.82/1.47 ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 0.82/1.47 , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 0.82/1.47 rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 0.82/1.47 T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, !
% 0.82/1.47 rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ),
% 0.82/1.47 ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 =
% 0.82/1.47 V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), !
% 0.82/1.47 V6 = V27, ! rpoint( V27 ), alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.82/1.47 .
% 0.82/1.47 { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 0.82/1.47 ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 0.82/1.47 ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 0.82/1.47 , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 0.82/1.47 ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, !
% 0.82/1.47 rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), !
% 0.82/1.47 V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, !
% 0.82/1.47 rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), !
% 0.82/1.47 V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha37( X, Y, Z
% 0.82/1.47 , T, U, W, V0, V1, V2, V3 ) }.
% 0.82/1.47 { ! alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) =
% 0.82/1.47 vangle( V1, V2, V3 ) }.
% 0.82/1.47 { ! alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 0.82/1.47 .
% 0.82/1.47 { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ),
% 0.82/1.47 alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.82/1.47 { ! alpha32( X, Y, Z, T, U, W, V0 ), rS( skol13( X, V1, V2, V3, V4, V5, V0
% 0.82/1.47 ), V0, X ) }.
% 0.82/1.47 { ! alpha32( X, Y, Z, T, U, W, V0 ), alpha9( X, U, W, skol51( X, V1, V2, V3
% 0.82/1.47 , U, W, V4 ) ) }.
% 0.82/1.47 { ! alpha32( X, Y, Z, T, U, W, V0 ), alpha26( Y, Z, T, U, skol13( X, Y, Z,
% 0.82/1.47 T, U, W, V0 ), skol51( X, Y, Z, T, U, W, V0 ) ) }.
% 0.82/1.47 { ! rS( V1, V0, X ), ! alpha9( X, U, W, V2 ), ! alpha26( Y, Z, T, U, V1, V2
% 0.82/1.47 ), alpha32( X, Y, Z, T, U, W, V0 ) }.
% 0.82/1.47 { ! alpha26( X, Y, Z, T, U, W ), rpoint( skol14( V0, V1, V2, V3, V4, V5 ) )
% 0.82/1.47 }.
% 0.82/1.47 { ! alpha26( X, Y, Z, T, U, W ), alpha38( X, Y, Z, T, U, W, skol14( X, Y, Z
% 0.82/1.47 , T, U, W ) ) }.
% 0.82/1.47 { ! alpha38( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha26( X, Y, Z, T, U
% 0.82/1.47 , W ) }.
% 0.82/1.47 { ! alpha38( X, Y, Z, T, U, W, V0 ), alpha42( X, Y, Z, T, U, W, V0 ) }.
% 0.82/1.47 { ! alpha38( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 0.82/1.47 { ! alpha42( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha38( X, Y, Z, T, U
% 0.82/1.47 , W, V0 ) }.
% 0.82/1.47 { ! alpha42( X, Y, Z, T, U, W, V0 ), alpha33( X, Y, Z, U, W, V0 ) }.
% 0.82/1.47 { ! alpha42( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 0.82/1.47 { ! alpha42( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 0.82/1.47 { ! alpha33( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha42( X, Y, Z
% 0.82/1.47 , T, U, W, V0 ) }.
% 0.82/1.47 { ! alpha33( X, Y, Z, T, U, W ), alpha39( X, Y, Z, T, U, W ) }.
% 0.82/1.47 { ! alpha33( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 0.82/1.47 { ! alpha39( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ),
% 0.82/1.47 alpha33( X, Y, Z, T, U, W ) }.
% 0.82/1.47 { ! alpha39( X, Y, Z, T, U, W ), alpha43( X, Y, Z, T, U, W ) }.
% 0.82/1.47 { ! alpha39( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 0.82/1.47 { ! alpha43( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ),
% 0.82/1.47 alpha39( X, Y, Z, T, U, W ) }.
% 0.82/1.47 { ! alpha43( X, Y, Z, T, U, W ), alpha45( X, Y, Z, T, U, W ) }.
% 0.82/1.47 { ! alpha43( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 0.82/1.47 { ! alpha45( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ),
% 0.82/1.47 alpha43( X, Y, Z, T, U, W ) }.
% 0.82/1.47 { ! alpha45( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 0.82/1.47 { ! alpha45( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 0.82/1.47 { ! alpha45( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 0.82/1.47 { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf(
% 0.82/1.47 W, U ), alpha45( X, Y, Z, T, U, W ) }.
% 0.82/1.47 { ! alpha9( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 0.82/1.47 { ! alpha9( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.47 { rR( Y, T, Z ), ! ron( T, X ), alpha9( X, Y, Z, T ) }.
% 0.82/1.47 { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ),
% 0.82/1.47 ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1,
% 0.82/1.47 ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T =
% 0.82/1.47 V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 0.82/1.47 X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 0.82/1.47 { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 0.82/1.47 , X ), X = Y }.
% 0.82/1.47 { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 0.82/1.47 U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 0.82/1.47 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 0.82/1.47 , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.82/1.47 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.82/1.47 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 0.82/1.47 ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.82/1.47 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.82/1.47 { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 0.82/1.47 ( X, Y ) }.
% 0.82/1.47 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.47 rpoint( skol15( U, W ) ) }.
% 0.82/1.47 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.47 ron( skol15( U, Y ), Y ) }.
% 0.82/1.47 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.47 ron( skol15( X, Y ), X ) }.
% 0.82/1.47 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol16( U
% 0.82/1.47 , W ) ) }.
% 0.82/1.47 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol16( U
% 0.82/1.47 , Y ) ) }.
% 0.82/1.47 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol16
% 0.82/1.47 ( X, Y ) ) }.
% 0.82/1.47 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.47 vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 0.82/1.47 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.47 vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 0.82/1.47 { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 0.82/1.47 ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 0.82/1.47 ) }.
% 0.82/1.47 { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W,
% 0.82/1.47 ! rpoint( W ), ! ron( X, Y ) }.
% 0.82/1.47 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint(
% 0.82/1.47 skol17( U, W ) ) }.
% 0.82/1.47 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol17
% 0.82/1.47 ( U, Y ) = Y }.
% 0.82/1.47 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron(
% 0.82/1.47 skol17( X, Y ), X ) }.
% 0.82/1.47 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.82/1.47 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.82/1.47 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 0.82/1.47 , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 0.82/1.47 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.82/1.47 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.82/1.47 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 0.82/1.47 , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 0.82/1.47 { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 0.82/1.47 ( U ), ! X = W, ! rreal( W ), X = Y }.
% 0.82/1.47 { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 0.82/1.47 , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X =
% 0.82/1.47 V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 0.82/1.47 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.82/1.47 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.82/1.47 rcircle( V1 ), rpoint( skol18( V2, V3, V4, V5 ) ) }.
% 0.82/1.47 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.82/1.47 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.82/1.47 rcircle( V1 ), ron( skol18( X, V2, V3, V4 ), X ) }.
% 0.82/1.47 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.82/1.47 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.82/1.47 rcircle( V1 ), alpha10( Y, Z, T, skol18( X, Y, Z, T ) ) }.
% 0.82/1.47 { ! alpha10( X, Y, Z, T ), rR( Y, T, Z ) }.
% 0.82/1.47 { ! alpha10( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.47 { ! rR( Y, T, Z ), ! ron( T, X ), alpha10( X, Y, Z, T ) }.
% 0.82/1.47 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.82/1.47 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.82/1.47 ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol19( V2, V3, V4, V5 ) ) }.
% 0.82/1.47 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.82/1.47 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.82/1.47 ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol19( V2, Y, V3, V4 ), Y ) }.
% 0.82/1.47 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.82/1.47 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.82/1.47 ( V0 ), ! X = V1, ! rcircle( V1 ), alpha11( X, Z, T, skol19( X, Y, Z, T )
% 0.82/1.47 ) }.
% 0.82/1.47 { ! alpha11( X, Y, Z, T ), rR( T, Y, Z ) }.
% 0.82/1.47 { ! alpha11( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.47 { ! rR( T, Y, Z ), ! ron( T, X ), alpha11( X, Y, Z, T ) }.
% 0.82/1.47 { ! rcenter( X, Y ), rcircle( skol20( Z, T ) ) }.
% 0.82/1.47 { ! rcenter( X, Y ), Y = skol20( Z, Y ) }.
% 0.82/1.47 { ! rcenter( X, Y ), alpha12( X ) }.
% 0.82/1.47 { ! alpha12( X ), rpoint( skol21( Y ) ) }.
% 0.82/1.47 { ! alpha12( X ), X = skol21( X ) }.
% 0.82/1.47 { ! X = Y, ! rpoint( Y ), alpha12( X ) }.
% 0.82/1.47 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.47 rgeq( vg( X, Y, Z ), v0 ) }.
% 0.82/1.47 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 0.82/1.47 ) }.
% 0.82/1.47 { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 0.82/1.47 { v0 = vd684 }.
% 0.82/1.47 { rreal( vd684 ) }.
% 0.82/1.47 { ! rcenter( X, Y ), rinside( X, Y ) }.
% 0.82/1.47 { ! X = Y, ! rcircle( Y ), rpoint( skol22( Z ) ) }.
% 0.82/1.47 { ! X = Y, ! rcircle( Y ), ron( skol22( X ), X ) }.
% 0.82/1.47 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.82/1.47 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 0.82/1.47 , Y, Z ) = v0, ron( Z, T ) }.
% 0.82/1.47 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.82/1.47 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 0.82/1.47 , T ), vg( X, Y, Z ) = v0 }.
% 0.82/1.47 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.82/1.47 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.82/1.47 rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T )
% 0.82/1.47 = vperp }.
% 0.82/1.47 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.82/1.47 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.82/1.47 rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 0.82/1.47 , Z, Y ) }.
% 0.82/1.47 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 0.82/1.47 .
% 0.82/1.47 { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 0.82/1.47 rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.82/1.47 { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 0.82/1.47 ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 0.82/1.47 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 0.82/1.47 ( Y, X ) }.
% 0.82/1.47 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol23( U, W ) ) }.
% 0.82/1.47 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol23( X,
% 0.82/1.47 Y ) }.
% 0.82/1.47 { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, !
% 0.82/1.47 rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 0.82/1.47 { rS( Y, Z, skol24( Y, Z ) ), alpha13( X, Z ), ! ron( Y, X ), ! U = T, !
% 0.82/1.47 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.82/1.47 , ! rpoint( V1 ), rintersect( skol52( X ), X ) }.
% 0.82/1.47 { rS( Y, Z, skol24( Y, Z ) ), alpha13( X, Z ), ! rinside( Y, X ), ! U = T,
% 0.82/1.47 ! rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y =
% 0.82/1.47 V1, ! rpoint( V1 ), rintersect( skol52( X ), X ) }.
% 0.82/1.47 { ! alpha13( X, Y ), ! ron( Y, X ) }.
% 0.82/1.47 { ! alpha13( X, Y ), ! rinside( Y, X ) }.
% 0.82/1.47 { ron( Y, X ), rinside( Y, X ), alpha13( X, Y ) }.
% 0.82/1.47 { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 0.82/1.47 ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ),
% 0.82/1.47 rintersect( X, Y ) }.
% 0.82/1.47 { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ),
% 0.82/1.47 ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 0.82/1.47 , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), !
% 0.82/1.47 rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, !
% 0.82/1.47 rcircle( V5 ), ! rS( X, Y, Z ) }.
% 0.82/1.47 { ! rR( T, Z, X ), rinside( T, Y ), alpha14( Y, Z ), ! Y = U, ! rcircle( U
% 0.82/1.47 ), ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint
% 0.82/1.47 ( V1 ), ! ron( X, Y ) }.
% 0.82/1.47 { ! rR( T, Z, X ), rinside( T, Y ), alpha14( Y, Z ), ! Y = U, ! rcircle( U
% 0.82/1.47 ), ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint
% 0.82/1.47 ( V1 ), ! ron( X, Y ) }.
% 0.82/1.47 { ! alpha14( X, Y ), ! ron( Y, X ) }.
% 0.82/1.47 { ! alpha14( X, Y ), ! rinside( Y, X ) }.
% 0.82/1.47 { ron( Y, X ), rinside( Y, X ), alpha14( X, Y ) }.
% 0.82/1.47 { ! rR( X, Z, T ), alpha15( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U )
% 0.82/1.47 , ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint(
% 0.82/1.47 V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.82/1.47 { ! rR( X, Z, T ), alpha15( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle(
% 0.82/1.47 U ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 0.82/1.47 ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.82/1.47 { ! alpha15( X, Y ), ! ron( Y, X ) }.
% 0.82/1.47 { ! alpha15( X, Y ), ! rinside( Y, X ) }.
% 0.82/1.47 { ron( Y, X ), rinside( Y, X ), alpha15( X, Y ) }.
% 0.82/1.47 { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), !
% 0.82/1.47 ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline(
% 0.82/1.47 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.82/1.47 rpoint( V3 ), rR( X, Y, Z ) }.
% 0.82/1.47 { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), !
% 0.82/1.47 ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 0.82/1.47 ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 0.82/1.47 V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline(
% 0.82/1.47 V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 0.82/1.47 { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 0.82/1.47 ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 0.82/1.47 W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 0.82/1.47 ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 0.82/1.47 ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 0.82/1.47 { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 0.82/1.47 , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 0.82/1.47 ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, !
% 0.82/1.47 rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 0.82/1.47 , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 0.82/1.47 { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 0.82/1.47 , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X
% 0.82/1.47 = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.82/1.47 rpoint( V3 ), rR( Y, X, Z ) }.
% 0.82/1.47 { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 0.82/1.47 W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 0.82/1.47 ( X, Y, Z ) }.
% 0.82/1.47 { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, !
% 0.82/1.47 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 0.82/1.47 , Z ) }.
% 0.82/1.47 { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 0.82/1.47 ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 0.82/1.47 ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 0.82/1.47 { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, !
% 0.82/1.47 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 0.82/1.47 , Z ) }.
% 0.82/1.47 { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 0.82/1.47 }.
% 0.82/1.47 { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.82/1.47 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 0.82/1.47 , Y, Z ) }.
% 0.82/1.47 { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.82/1.47 rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 0.82/1.47 , Y ) }.
% 0.82/1.47 { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 0.82/1.47 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.47 alpha27( X, Y, skol25( X, Y ), skol53( X, Y ) ) }.
% 0.82/1.47 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.47 rpoint( skol25( X, Y ) ) }.
% 0.82/1.47 { ! alpha27( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.82/1.47 { ! alpha27( X, Y, Z, T ), ron( Z, Y ) }.
% 0.82/1.47 { ! alpha34( X, Y, Z, T ), ! ron( Z, Y ), alpha27( X, Y, Z, T ) }.
% 0.82/1.47 { ! alpha34( X, Y, Z, T ), alpha40( X, Y, Z, T ) }.
% 0.82/1.47 { ! alpha34( X, Y, Z, T ), ron( Z, X ) }.
% 0.82/1.47 { ! alpha40( X, Y, Z, T ), ! ron( Z, X ), alpha34( X, Y, Z, T ) }.
% 0.82/1.47 { ! alpha40( X, Y, Z, T ), alpha16( X, Z, T ) }.
% 0.82/1.47 { ! alpha40( X, Y, Z, T ), ron( T, Y ) }.
% 0.82/1.47 { ! alpha40( X, Y, Z, T ), rpoint( T ) }.
% 0.82/1.47 { ! alpha16( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha40( X, Y, Z, T )
% 0.82/1.47 }.
% 0.82/1.47 { ! alpha16( X, Y, Z ), ! Y = Z }.
% 0.82/1.47 { ! alpha16( X, Y, Z ), ron( Z, X ) }.
% 0.82/1.47 { Y = Z, ! ron( Z, X ), alpha16( X, Y, Z ) }.
% 0.82/1.47 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.47 rpoint( skol26( U, W ) ) }.
% 0.82/1.47 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.82/1.47 ( skol26( U, Y ), Y ) }.
% 0.82/1.47 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.82/1.47 ( skol26( X, Y ), X ) }.
% 0.82/1.47 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ),
% 0.82/1.47 rpoint( skol27( U, W ) ) }.
% 0.82/1.47 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.82/1.47 skol27( U, Y ), Y ) }.
% 0.82/1.47 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.82/1.47 skol27( X, Y ), X ) }.
% 0.82/1.47 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.82/1.47 skol28( U, W ) ) }.
% 0.82/1.47 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol28
% 0.82/1.47 ( X, Y ), Y, X ) }.
% 0.82/1.47 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.82/1.47 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.82/1.47 rpoint( skol29( V2, V3, V4, V5 ) ) }.
% 0.82/1.47 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.82/1.47 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.82/1.47 rS( skol29( X, Y, V2, V3 ), Y, X ) }.
% 0.82/1.47 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.82/1.47 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.82/1.47 alpha28( Y, Z, T, skol29( X, Y, Z, T ) ) }.
% 0.82/1.47 { ! alpha28( X, Y, Z, T ), alpha17( Y, Z, T ) }.
% 0.82/1.47 { ! alpha28( X, Y, Z, T ), ! T = X }.
% 0.82/1.47 { ! alpha17( Y, Z, T ), T = X, alpha28( X, Y, Z, T ) }.
% 0.82/1.47 { ! alpha17( X, Y, Z ), ! Z = Y }.
% 0.82/1.47 { ! alpha17( X, Y, Z ), ! Z = X }.
% 0.82/1.47 { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 0.82/1.47 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.82/1.47 T ), ! X = W, ! rline( W ), rpoint( skol30( V0, V1, V2 ) ) }.
% 0.82/1.47 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.82/1.47 T ), ! X = W, ! rline( W ), alpha18( Y, Z, skol30( V0, Y, Z ) ) }.
% 0.82/1.47 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.82/1.47 T ), ! X = W, ! rline( W ), rS( skol30( X, Y, Z ), Y, X ) }.
% 0.82/1.47 { ! alpha18( X, Y, Z ), ! Z = Y }.
% 0.82/1.47 { ! alpha18( X, Y, Z ), ! Z = X }.
% 0.82/1.47 { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 0.82/1.47 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.82/1.47 skol31( U, W ) ) }.
% 0.82/1.47 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol31( U,
% 0.82/1.47 Y ) = Y }.
% 0.82/1.47 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol31( X
% 0.82/1.47 , Y ), Y, X ) }.
% 0.82/1.47 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.82/1.47 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.82/1.47 rpoint( skol32( V2, V3, V4 ) ) }.
% 0.82/1.47 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.82/1.47 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.82/1.47 ! skol32( V2, V3, Z ) = Z }.
% 0.82/1.47 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.82/1.47 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.82/1.47 rR( Y, X, skol32( X, Y, Z ) ) }.
% 0.82/1.47 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.82/1.47 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol33( V0, V1 ) ) }.
% 0.82/1.47 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.82/1.47 rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol33( X, Y ) ) }.
% 0.82/1.47 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.82/1.47 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.82/1.47 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint(
% 0.82/1.47 skol34( V4, V5, V6, V7 ) ) }.
% 0.82/1.47 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.82/1.47 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.82/1.47 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha19
% 0.82/1.47 ( Z, T, skol34( V4, V5, Z, T ) ) }.
% 0.82/1.47 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.82/1.47 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.82/1.47 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR(
% 0.82/1.47 skol34( X, Y, Z, T ), X, Y ) }.
% 0.82/1.47 { ! alpha19( X, Y, Z ), ! Z = Y }.
% 0.82/1.47 { ! alpha19( X, Y, Z ), ! Z = X }.
% 0.82/1.47 { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 0.82/1.47 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.82/1.47 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.82/1.47 rpoint( skol35( V2, V3, V4 ) ) }.
% 0.82/1.47 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.82/1.47 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.82/1.47 ! skol35( V2, V3, Z ) = Z }.
% 0.82/1.48 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.82/1.48 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.82/1.48 rR( skol35( X, Y, Z ), X, Y ) }.
% 0.82/1.48 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.82/1.48 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol36( V0, V1 ) ) }.
% 0.82/1.48 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.82/1.48 rpoint( U ), ! Z = W, ! rline( W ), rR( skol36( X, Y ), X, Y ) }.
% 0.82/1.48 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.82/1.48 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.82/1.48 rpoint( skol37( V2, V3, V4 ) ) }.
% 0.82/1.48 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.82/1.48 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.82/1.48 ron( skol37( X, V2, V3 ), X ) }.
% 0.82/1.48 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.82/1.48 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.82/1.48 alpha20( Y, Z, skol37( X, Y, Z ) ) }.
% 0.82/1.48 { ! alpha20( X, Y, Z ), ! Z = Y }.
% 0.82/1.48 { ! alpha20( X, Y, Z ), ! Z = X }.
% 0.82/1.48 { Z = Y, Z = X, alpha20( X, Y, Z ) }.
% 0.82/1.48 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.48 U ), ! X = W, ! rline( W ), rpoint( skol38( V0, V1, V2 ) ) }.
% 0.82/1.48 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.48 U ), ! X = W, ! rline( W ), ron( skol38( X, V0, V1 ), X ) }.
% 0.82/1.48 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.48 U ), ! X = W, ! rline( W ), alpha21( Y, Z, skol38( X, Y, Z ) ) }.
% 0.82/1.48 { ! alpha21( X, Y, Z ), ! Z = Y }.
% 0.82/1.48 { ! alpha21( X, Y, Z ), ! Z = X }.
% 0.82/1.48 { Z = Y, Z = X, alpha21( X, Y, Z ) }.
% 0.82/1.48 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.82/1.48 skol39( U, W ) ) }.
% 0.82/1.48 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol39( U
% 0.82/1.48 , Y ) = Y }.
% 0.82/1.48 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol39
% 0.82/1.48 ( X, Y ), X ) }.
% 0.82/1.48 { ! X = Y, ! rline( Y ), rpoint( skol40( Z ) ) }.
% 0.82/1.48 { ! X = Y, ! rline( Y ), ron( skol40( X ), X ) }.
% 0.82/1.48 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.82/1.48 , ! X = V1, ! rpoint( V1 ), rpoint( skol41( V2, V3, V4, V5 ) ) }.
% 0.82/1.48 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.82/1.48 , ! X = V1, ! rpoint( V1 ), ! skol41( X, V2, V3, V4 ) = X }.
% 0.82/1.48 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.82/1.48 , ! X = V1, ! rpoint( V1 ), alpha29( Y, Z, T, skol41( X, Y, Z, T ) ) }.
% 0.82/1.48 { ! alpha29( X, Y, Z, T ), alpha22( Y, Z, T ) }.
% 0.82/1.48 { ! alpha29( X, Y, Z, T ), ! T = X }.
% 0.82/1.48 { ! alpha22( Y, Z, T ), T = X, alpha29( X, Y, Z, T ) }.
% 0.82/1.48 { ! alpha22( X, Y, Z ), ! Z = Y }.
% 0.82/1.48 { ! alpha22( X, Y, Z ), ! Z = X }.
% 0.82/1.48 { Z = Y, Z = X, alpha22( X, Y, Z ) }.
% 0.82/1.48 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.48 rpoint( skol42( V0, V1, V2 ) ) }.
% 0.82/1.48 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 0.82/1.48 skol42( X, V0, V1 ) = X }.
% 0.82/1.48 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.48 alpha23( Y, Z, skol42( X, Y, Z ) ) }.
% 0.82/1.48 { ! alpha23( X, Y, Z ), ! Z = Y }.
% 0.82/1.48 { ! alpha23( X, Y, Z ), ! Z = X }.
% 0.82/1.48 { Z = Y, Z = X, alpha23( X, Y, Z ) }.
% 0.82/1.48 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol43( U, W ) )
% 0.82/1.48 }.
% 0.82/1.48 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol43( U, Y ) = Y }.
% 0.82/1.48 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol43( X, Y ) = X }.
% 0.82/1.48 { ! X = Y, ! rpoint( Y ), rpoint( skol44( Z ) ) }.
% 0.82/1.48 { ! X = Y, ! rpoint( Y ), ! skol44( X ) = X }.
% 0.82/1.48 { rpoint( vd14 ) }.
% 0.82/1.48 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha41( X, Y, Z ) }.
% 0.82/1.48 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha35( X ) }.
% 0.82/1.48 { ! alpha41( X, Y, Z ), alpha44( X, Y, Z ) }.
% 0.82/1.48 { ! alpha41( X, Y, Z ), alpha30( Y ) }.
% 0.82/1.48 { ! alpha44( X, Y, Z ), ! alpha30( Y ), alpha41( X, Y, Z ) }.
% 0.82/1.48 { ! alpha44( X, Y, Z ), alpha46( X, Y, Z ) }.
% 0.82/1.48 { ! alpha44( X, Y, Z ), alpha24( Z ) }.
% 0.82/1.48 { ! alpha46( X, Y, Z ), ! alpha24( Z ), alpha44( X, Y, Z ) }.
% 0.82/1.48 { ! alpha46( X, Y, Z ), ! Y = Z }.
% 0.82/1.48 { ! alpha46( X, Y, Z ), ! X = Z }.
% 0.82/1.48 { ! alpha46( X, Y, Z ), ! X = Y }.
% 0.82/1.48 { Y = Z, X = Z, X = Y, alpha46( X, Y, Z ) }.
% 0.82/1.48 { ! alpha35( X ), rpoint( skol45( Y ) ) }.
% 0.82/1.48 { ! alpha35( X ), X = skol45( X ) }.
% 0.82/1.48 { ! X = Y, ! rpoint( Y ), alpha35( X ) }.
% 0.82/1.48 { ! alpha30( X ), rpoint( skol46( Y ) ) }.
% 0.82/1.48 { ! alpha30( X ), X = skol46( X ) }.
% 0.82/1.48 { ! X = Y, ! rpoint( Y ), alpha30( X ) }.
% 0.82/1.48 { ! alpha24( X ), rpoint( skol47( Y ) ) }.
% 0.82/1.48 { ! alpha24( X ), X = skol47( X ) }.
% 0.82/1.48 { ! X = Y, ! rpoint( Y ), alpha24( X ) }.
% 0.82/1.48 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 0.82/1.48 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.48 rreal( skol48( V0, V1, V2 ) ) }.
% 0.82/1.48 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.48 vg( X, Y, Z ) = skol48( X, Y, Z ) }.
% 0.82/1.48 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.82/1.48 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.82/1.48 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.82/1.48 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.82/1.48 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.82/1.48 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y,
% 0.82/1.48 Z ), rS( Y, X, T ) }.
% 0.82/1.48 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.82/1.48 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.82/1.48 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.82/1.48 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.82/1.48 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.82/1.48 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 0.82/1.48 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.48 rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 0.82/1.48 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.48 rleq( v0, vangle( X, Y, Z ) ) }.
% 0.82/1.48
% 0.82/1.48 *** allocated 15000 integers for clauses
% 0.82/1.48 *** allocated 22500 integers for clauses
% 0.82/1.48 percentage equality = 0.395984, percentage horn = 0.721053
% 0.82/1.48 This is a problem with some equality
% 0.82/1.48
% 0.82/1.48
% 0.82/1.48
% 0.82/1.48 Options Used:
% 0.82/1.48
% 0.82/1.48 useres = 1
% 0.82/1.48 useparamod = 1
% 0.82/1.48 useeqrefl = 1
% 0.82/1.48 useeqfact = 1
% 0.82/1.48 usefactor = 1
% 0.82/1.48 usesimpsplitting = 0
% 0.82/1.48 usesimpdemod = 5
% 0.82/1.48 usesimpres = 3
% 0.82/1.48
% 0.82/1.48 resimpinuse = 1000
% 0.82/1.48 resimpclauses = 20000
% 0.82/1.48 substype = eqrewr
% 0.82/1.48 backwardsubs = 1
% 0.82/1.48 selectoldest = 5
% 0.82/1.48
% 0.82/1.48 litorderings [0] = split
% 0.82/1.48 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.48
% 0.82/1.48 termordering = kbo
% 0.82/1.48
% 0.82/1.48 litapriori = 0
% 0.82/1.48 termapriori = 1
% 0.82/1.48 litaposteriori = 0
% 0.82/1.48 termaposteriori = 0
% 0.82/1.48 demodaposteriori = 0
% 0.82/1.48 ordereqreflfact = 0
% 0.82/1.48
% 0.82/1.48 litselect = negord
% 0.82/1.48
% 0.82/1.48 maxweight = 15
% 0.82/1.48 maxdepth = 30000
% 0.82/1.48 maxlength = 115
% 0.82/1.48 maxnrvars = 195
% 0.82/1.48 excuselevel = 1
% 0.82/1.48 increasemaxweight = 1
% 0.82/1.48
% 0.82/1.48 maxselected = 10000000
% 0.82/1.48 maxnrclauses = 10000000
% 0.82/1.48
% 0.82/1.48 showgenerated = 0
% 0.82/1.48 showkept = 0
% 0.82/1.48 showselected = 0
% 0.82/1.48 showdeleted = 0
% 0.82/1.48 showresimp = 1
% 0.82/1.48 showstatus = 2000
% 0.82/1.48
% 0.82/1.48 prologoutput = 0
% 0.82/1.48 nrgoals = 5000000
% 0.82/1.48 totalproof = 1
% 0.82/1.48
% 0.82/1.48 Symbols occurring in the translation:
% 0.82/1.48
% 0.82/1.48 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.48 . [1, 2] (w:1, o:824, a:1, s:1, b:0),
% 0.82/1.48 || [2, 0] (w:1, o:3, a:1, s:1, b:0),
% 0.82/1.48 ! [4, 1] (w:0, o:800, a:1, s:1, b:0),
% 0.82/1.48 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.48 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.48 vd1409 [35, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.82/1.48 vd1401 [36, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.82/1.48 vd1400 [37, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.82/1.48 vangle [38, 3] (w:1, o:880, a:1, s:1, b:0),
% 0.82/1.48 vd1399 [39, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.82/1.48 rless [40, 2] (w:1, o:848, a:1, s:1, b:0),
% 0.82/1.48 vplus [41, 2] (w:1, o:849, a:1, s:1, b:0),
% 0.82/1.48 vd1418 [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.82/1.48 vskolem1419 [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.82/1.48 ron [45, 2] (w:1, o:850, a:1, s:1, b:0),
% 0.82/1.48 rline [46, 1] (w:1, o:805, a:1, s:1, b:0),
% 0.82/1.48 rpoint [56, 1] (w:1, o:806, a:1, s:1, b:0),
% 0.82/1.48 rS [60, 3] (w:1, o:882, a:1, s:1, b:0),
% 0.82/1.48 vd1406 [61, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.82/1.48 vd1407 [62, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.82/1.48 vd1415 [74, 0] (w:1, o:644, a:1, s:1, b:0),
% 2.03/2.42 vskolem1416 [75, 0] (w:1, o:645, a:1, s:1, b:0),
% 2.03/2.42 rR [84, 3] (w:1, o:881, a:1, s:1, b:0),
% 2.03/2.42 v0 [85, 0] (w:1, o:646, a:1, s:1, b:0),
% 2.03/2.42 vf [91, 2] (w:1, o:851, a:1, s:1, b:0),
% 2.03/2.42 rcenter [106, 2] (w:1, o:852, a:1, s:1, b:0),
% 2.03/2.42 rinside [109, 2] (w:1, o:853, a:1, s:1, b:0),
% 2.03/2.42 rintersect [142, 2] (w:1, o:854, a:1, s:1, b:0),
% 2.03/2.42 rcircle [144, 1] (w:1, o:807, a:1, s:1, b:0),
% 2.03/2.42 vskolem1120 [155, 8] (w:1, o:946, a:1, s:1, b:0),
% 2.03/2.42 vskolem1078 [172, 4] (w:1, o:913, a:1, s:1, b:0),
% 2.03/2.42 vskolem1052 [187, 4] (w:1, o:914, a:1, s:1, b:0),
% 2.03/2.42 rreal [214, 1] (w:1, o:808, a:1, s:1, b:0),
% 2.03/2.42 vg [257, 3] (w:1, o:883, a:1, s:1, b:0),
% 2.03/2.42 rgeq [441, 2] (w:1, o:855, a:1, s:1, b:0),
% 2.03/2.42 vd684 [448, 0] (w:1, o:791, a:1, s:1, b:0),
% 2.03/2.42 vperp [472, 0] (w:1, o:792, a:1, s:1, b:0),
% 2.03/2.42 rleq [477, 2] (w:1, o:856, a:1, s:1, b:0),
% 2.03/2.42 vd14 [805, 0] (w:1, o:795, a:1, s:1, b:0),
% 2.03/2.42 vtriangle [810, 3] (w:1, o:884, a:1, s:1, b:0),
% 2.03/2.42 rtriangle [811, 1] (w:1, o:809, a:1, s:1, b:0),
% 2.03/2.42 alpha1 [848, 3] (w:1, o:885, a:1, s:1, b:1),
% 2.03/2.42 alpha2 [849, 3] (w:1, o:890, a:1, s:1, b:1),
% 2.03/2.42 alpha3 [850, 3] (w:1, o:895, a:1, s:1, b:1),
% 2.03/2.42 alpha4 [851, 4] (w:1, o:918, a:1, s:1, b:1),
% 2.03/2.42 alpha5 [852, 4] (w:1, o:920, a:1, s:1, b:1),
% 2.03/2.42 alpha6 [853, 3] (w:1, o:896, a:1, s:1, b:1),
% 2.03/2.42 alpha7 [854, 3] (w:1, o:897, a:1, s:1, b:1),
% 2.03/2.42 alpha8 [855, 3] (w:1, o:898, a:1, s:1, b:1),
% 2.03/2.42 alpha9 [856, 4] (w:1, o:921, a:1, s:1, b:1),
% 2.03/2.42 alpha10 [857, 4] (w:1, o:922, a:1, s:1, b:1),
% 2.03/2.42 alpha11 [858, 4] (w:1, o:923, a:1, s:1, b:1),
% 2.03/2.42 alpha12 [859, 1] (w:1, o:810, a:1, s:1, b:1),
% 2.03/2.42 alpha13 [860, 2] (w:1, o:857, a:1, s:1, b:1),
% 2.03/2.42 alpha14 [861, 2] (w:1, o:858, a:1, s:1, b:1),
% 2.03/2.42 alpha15 [862, 2] (w:1, o:859, a:1, s:1, b:1),
% 2.03/2.42 alpha16 [863, 3] (w:1, o:886, a:1, s:1, b:1),
% 2.03/2.42 alpha17 [864, 3] (w:1, o:887, a:1, s:1, b:1),
% 2.03/2.42 alpha18 [865, 3] (w:1, o:888, a:1, s:1, b:1),
% 2.03/2.42 alpha19 [866, 3] (w:1, o:889, a:1, s:1, b:1),
% 2.03/2.42 alpha20 [867, 3] (w:1, o:891, a:1, s:1, b:1),
% 2.03/2.42 alpha21 [868, 3] (w:1, o:892, a:1, s:1, b:1),
% 2.03/2.42 alpha22 [869, 3] (w:1, o:893, a:1, s:1, b:1),
% 2.03/2.42 alpha23 [870, 3] (w:1, o:894, a:1, s:1, b:1),
% 2.03/2.42 alpha24 [871, 1] (w:1, o:811, a:1, s:1, b:1),
% 2.03/2.42 alpha25 [872, 4] (w:1, o:924, a:1, s:1, b:1),
% 2.03/2.42 alpha26 [873, 6] (w:1, o:935, a:1, s:1, b:1),
% 2.03/2.42 alpha27 [874, 4] (w:1, o:925, a:1, s:1, b:1),
% 2.03/2.42 alpha28 [875, 4] (w:1, o:926, a:1, s:1, b:1),
% 2.03/2.42 alpha29 [876, 4] (w:1, o:927, a:1, s:1, b:1),
% 2.03/2.42 alpha30 [877, 1] (w:1, o:812, a:1, s:1, b:1),
% 2.03/2.42 alpha31 [878, 4] (w:1, o:915, a:1, s:1, b:1),
% 2.03/2.42 alpha32 [879, 7] (w:1, o:941, a:1, s:1, b:1),
% 2.03/2.42 alpha33 [880, 6] (w:1, o:936, a:1, s:1, b:1),
% 2.03/2.42 alpha34 [881, 4] (w:1, o:916, a:1, s:1, b:1),
% 2.03/2.42 alpha35 [882, 1] (w:1, o:813, a:1, s:1, b:1),
% 2.03/2.42 alpha36 [883, 4] (w:1, o:917, a:1, s:1, b:1),
% 2.03/2.42 alpha37 [884, 10] (w:1, o:947, a:1, s:1, b:1),
% 2.03/2.42 alpha38 [885, 7] (w:1, o:942, a:1, s:1, b:1),
% 2.03/2.42 alpha39 [886, 6] (w:1, o:937, a:1, s:1, b:1),
% 2.03/2.42 alpha40 [887, 4] (w:1, o:919, a:1, s:1, b:1),
% 2.03/2.42 alpha41 [888, 3] (w:1, o:899, a:1, s:1, b:1),
% 2.03/2.42 alpha42 [889, 7] (w:1, o:943, a:1, s:1, b:1),
% 2.03/2.42 alpha43 [890, 6] (w:1, o:938, a:1, s:1, b:1),
% 2.03/2.42 alpha44 [891, 3] (w:1, o:900, a:1, s:1, b:1),
% 2.03/2.42 alpha45 [892, 6] (w:1, o:939, a:1, s:1, b:1),
% 2.03/2.42 alpha46 [893, 3] (w:1, o:901, a:1, s:1, b:1),
% 2.03/2.42 skol1 [894, 0] (w:1, o:797, a:1, s:1, b:1),
% 2.03/2.42 skol2 [895, 2] (w:1, o:865, a:1, s:1, b:1),
% 2.03/2.42 skol3 [896, 3] (w:1, o:902, a:1, s:1, b:1),
% 2.03/2.42 skol4 [897, 3] (w:1, o:908, a:1, s:1, b:1),
% 2.03/2.42 skol5 [898, 3] (w:1, o:911, a:1, s:1, b:1),
% 2.03/2.42 skol6 [899, 4] (w:1, o:928, a:1, s:1, b:1),
% 2.03/2.42 skol7 [900, 1] (w:1, o:814, a:1, s:1, b:1),
% 2.03/2.42 skol8 [901, 4] (w:1, o:929, a:1, s:1, b:1),
% 2.03/2.42 skol9 [902, 1] (w:1, o:815, a:1, s:1, b:1),
% 2.03/2.42 skol10 [903, 2] (w:1, o:860, a:1, s:1, b:1),
% 2.03/2.42 skol11 [904, 2] (w:1, o:861, a:1, s:1, b:1),
% 2.03/2.42 skol12 [905, 3] (w:1, o:912, a:1, s:1, b:1),
% 2.03/2.42 skol13 [906, 7] (w:1, o:944, a:1, s:1, b:1),
% 2.03/2.42 skol14 [907, 6] (w:1, o:940, a:1, s:1, b:1),
% 2.03/2.42 skol15 [908, 2] (w:1, o:862, a:1, s:1, b:1),
% 2.03/2.42 skol16 [909, 2] (w:1, o:863, a:1, s:1, b:1),
% 2.03/2.42 skol17 [910, 2] (w:1, o:864, a:1, s:1, b:1),
% 2.03/2.42 skol18 [911, 4] (w:1, o:930, a:1, s:1, b:1),
% 2.03/2.42 skol19 [912, 4] (w:1, o:931, a:1, s:1, b:1),
% 2.03/2.42 skol20 [913, 2] (w:1, o:866, a:1, s:1, b:1),
% 2.03/2.42 skol21 [914, 1] (w:1, o:816, a:1, s:1, b:1),
% 2.03/2.42 skol22 [915, 1] (w:1, o:817, a:1, s:1, b:1),
% 2.03/2.42 skol23 [916, 2] (w:1, o:867, a:1, s:1, b:1),
% 2.03/2.42 skol24 [917, 2] (w:1, o:868, a:1, s:1, b:1),
% 2.03/2.42 skol25 [918, 2] (w:1, o:869, a:1, s:1, b:1),
% 2.03/2.42 skol26 [919, 2] (w:1, o:870, a:1, s:1, b:1),
% 2.03/2.42 skol27 [920, 2] (w:1, o:871, a:1, s:1, b:1),
% 2.03/2.42 skol28 [921, 2] (w:1, o:872, a:1, s:1, b:1),
% 2.03/2.42 skol29 [922, 4] (w:1, o:932, a:1, s:1, b:1),
% 2.03/2.42 skol30 [923, 3] (w:1, o:903, a:1, s:1, b:1),
% 2.03/2.42 skol31 [924, 2] (w:1, o:873, a:1, s:1, b:1),
% 2.03/2.42 skol32 [925, 3] (w:1, o:904, a:1, s:1, b:1),
% 2.03/2.42 skol33 [926, 2] (w:1, o:874, a:1, s:1, b:1),
% 2.03/2.42 skol34 [927, 4] (w:1, o:933, a:1, s:1, b:1),
% 2.03/2.42 skol35 [928, 3] (w:1, o:905, a:1, s:1, b:1),
% 2.03/2.42 skol36 [929, 2] (w:1, o:875, a:1, s:1, b:1),
% 2.03/2.42 skol37 [930, 3] (w:1, o:906, a:1, s:1, b:1),
% 2.03/2.42 skol38 [931, 3] (w:1, o:907, a:1, s:1, b:1),
% 2.03/2.42 skol39 [932, 2] (w:1, o:876, a:1, s:1, b:1),
% 2.03/2.42 skol40 [933, 1] (w:1, o:818, a:1, s:1, b:1),
% 2.03/2.42 skol41 [934, 4] (w:1, o:934, a:1, s:1, b:1),
% 2.03/2.42 skol42 [935, 3] (w:1, o:909, a:1, s:1, b:1),
% 2.03/2.42 skol43 [936, 2] (w:1, o:877, a:1, s:1, b:1),
% 2.03/2.42 skol44 [937, 1] (w:1, o:819, a:1, s:1, b:1),
% 2.03/2.42 skol45 [938, 1] (w:1, o:820, a:1, s:1, b:1),
% 2.03/2.42 skol46 [939, 1] (w:1, o:821, a:1, s:1, b:1),
% 2.03/2.42 skol47 [940, 1] (w:1, o:822, a:1, s:1, b:1),
% 2.03/2.42 skol48 [941, 3] (w:1, o:910, a:1, s:1, b:1),
% 2.03/2.42 skol49 [942, 0] (w:1, o:798, a:1, s:1, b:1),
% 2.03/2.42 skol50 [943, 2] (w:1, o:878, a:1, s:1, b:1),
% 2.03/2.42 skol51 [944, 7] (w:1, o:945, a:1, s:1, b:1),
% 2.03/2.42 skol52 [945, 1] (w:1, o:823, a:1, s:1, b:1),
% 2.03/2.42 skol53 [946, 2] (w:1, o:879, a:1, s:1, b:1),
% 2.03/2.42 skol54 [947, 0] (w:1, o:799, a:1, s:1, b:1).
% 2.03/2.42
% 2.03/2.42
% 2.03/2.42 Starting Search:
% 2.03/2.42
% 2.03/2.42 *** allocated 33750 integers for clauses
% 2.03/2.42 *** allocated 50625 integers for clauses
% 2.03/2.42 *** allocated 75937 integers for termspace/termends
% 2.03/2.42 *** allocated 113905 integers for termspace/termends
% 2.03/2.42 *** allocated 75937 integers for clauses
% 2.03/2.42 *** allocated 113905 integers for clauses
% 2.03/2.42 *** allocated 170857 integers for termspace/termends
% 2.03/2.42 matchinglists is full
% 2.03/2.42
% 2.03/2.42 Memory use:
% 2.03/2.42
% 2.03/2.42 space for terms: 119849
% 2.03/2.42 space for clauses: 82442
% 2.03/2.42
% 2.03/2.42
% 2.03/2.42 clauses generated: 60087
% 2.03/2.42 clauses kept: 1598
% 2.03/2.42 clauses selected: 0
% 2.03/2.42 clauses deleted: 0
% 2.03/2.42 clauses inuse deleted: 0
% 2.03/2.42
% 2.03/2.42 subsentry: 29910
% 2.03/2.42 literals s-matched: 16761
% 2.03/2.42 literals matched: 13959
% 2.03/2.42 full subsumption: 13858
% 2.03/2.42
% 2.03/2.42 checksum: 565067604
% 2.03/2.42
% 2.03/2.42
% 2.03/2.42 Bliksem ended
%------------------------------------------------------------------------------