TSTP Solution File: GEO325+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO325+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 02:53:43 EDT 2022
% Result : Unknown 1.95s 2.36s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO325+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sat Jun 18 02:10:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.82/1.39 *** allocated 10000 integers for termspace/termends
% 0.82/1.39 *** allocated 10000 integers for clauses
% 0.82/1.39 *** allocated 10000 integers for justifications
% 0.82/1.39 Bliksem 1.12
% 0.82/1.39
% 0.82/1.39
% 0.82/1.39 Automatic Strategy Selection
% 0.82/1.39
% 0.82/1.39 *** allocated 15000 integers for termspace/termends
% 0.82/1.39 *** allocated 22500 integers for termspace/termends
% 0.82/1.39 *** allocated 33750 integers for termspace/termends
% 0.82/1.39 *** allocated 50625 integers for termspace/termends
% 0.82/1.39
% 0.82/1.39 Clauses:
% 0.82/1.39
% 0.82/1.39 { ! vangle( vd1289, vd1302, vd1288 ) = vangle( vd1288, vd1329, vd1289 ) }.
% 0.82/1.39 { vf( vd1302, vd1288 ) = vf( vd1329, vd1289 ) }.
% 0.82/1.39 { vangle( vd1287, vd1289, vd1329 ) = vangle( vd1287, vd1288, vd1302 ) }.
% 0.82/1.39 { vf( vd1302, vd1288 ) = vf( vd1329, vd1289 ) }.
% 0.82/1.39 { vangle( vd1287, vd1302, vd1288 ) = vangle( vd1287, vd1329, vd1289 ) }.
% 0.82/1.39 { vangle( vd1289, vd1287, vd1288 ) = vangle( vd1302, vd1287, vd1288 ) }.
% 0.82/1.39 { vangle( vd1289, vd1287, vd1288 ) = vangle( vd1289, vd1287, vd1329 ) }.
% 0.82/1.39 { ! rR( vd1287, vd1288, vd1329 ) }.
% 0.82/1.39 { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ),
% 0.82/1.39 ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1,
% 0.82/1.39 ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T =
% 0.82/1.39 V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 0.82/1.39 X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 0.82/1.39 { ! rR( vd1287, vd1289, vd1302 ) }.
% 0.82/1.39 { rR( vd1329, vd1287, vd1299 ) }.
% 0.82/1.39 { rpoint( vd1329 ) }.
% 0.82/1.39 { vd1299 = vd1300 }.
% 0.82/1.39 { vd1302 = vd1303 }.
% 0.82/1.39 { rR( vd1289, vd1287, vd1302 ) }.
% 0.82/1.39 { rpoint( vd1303 ) }.
% 0.82/1.39 { rR( vd1288, vd1287, vd1299 ) }.
% 0.82/1.39 { rpoint( vd1300 ) }.
% 0.82/1.39 { vf( vd1287, vd1288 ) = vf( vd1287, vd1289 ) }.
% 0.82/1.39 { ! vd1288 = vd1289 }.
% 0.82/1.39 { ! vd1287 = vd1289 }.
% 0.82/1.39 { ! vd1287 = vd1288 }.
% 0.82/1.39 { vd1289 = skol1 }.
% 0.82/1.39 { rpoint( skol1 ) }.
% 0.82/1.39 { vd1288 = skol49 }.
% 0.82/1.39 { rpoint( skol49 ) }.
% 0.82/1.39 { vd1287 = skol54 }.
% 0.82/1.39 { rpoint( skol54 ) }.
% 0.82/1.39 { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, !
% 0.82/1.39 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 0.82/1.39 , Z ) }.
% 0.82/1.39 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.82/1.39 , ! rpoint( W ), alpha1( X, Y, Z ) }.
% 0.82/1.39 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.82/1.39 , ! rpoint( W ), rR( Y, Z, X ) }.
% 0.82/1.39 { ! alpha1( X, Y, Z ), ! rR( X, Y, Z ) }.
% 0.82/1.39 { ! alpha1( X, Y, Z ), ! X = Z }.
% 0.82/1.39 { ! alpha1( X, Y, Z ), ! X = Y }.
% 0.82/1.39 { rR( X, Y, Z ), X = Z, X = Y, alpha1( X, Y, Z ) }.
% 0.82/1.39 { ! vd1329 = vd1287 }.
% 0.82/1.39 { rline( skol2( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.82/1.39 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint(
% 0.82/1.39 V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.82/1.39 = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, !
% 0.82/1.39 rpoint( V8 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.82/1.39 { ron( T, skol2( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.82/1.39 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint(
% 0.82/1.39 V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.82/1.39 = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, !
% 0.82/1.39 rpoint( V7 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.82/1.39 { alpha2( U, W, skol2( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.82/1.39 , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.82/1.39 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z,
% 0.82/1.39 X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X =
% 0.82/1.39 V5, ! rpoint( V5 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.82/1.39 { ! alpha2( X, Y, Z ), ron( Y, Z ) }.
% 0.82/1.39 { ! alpha2( X, Y, Z ), ron( X, Z ) }.
% 0.82/1.39 { ! ron( Y, Z ), ! ron( X, Z ), alpha2( X, Y, Z ) }.
% 0.82/1.39 { rline( skol3( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.82/1.39 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint(
% 0.82/1.39 V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.82/1.39 = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, !
% 0.82/1.39 rpoint( V8 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.82/1.39 { ron( T, skol3( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.82/1.39 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint(
% 0.82/1.39 V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.82/1.39 = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, !
% 0.82/1.39 rpoint( V7 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.82/1.39 { alpha3( U, W, skol3( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.82/1.39 , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.82/1.39 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z,
% 0.82/1.39 X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X =
% 0.82/1.39 V5, ! rpoint( V5 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.82/1.39 { ! alpha3( X, Y, Z ), ron( Y, Z ) }.
% 0.82/1.39 { ! alpha3( X, Y, Z ), ron( X, Z ) }.
% 0.82/1.39 { ! ron( Y, Z ), ! ron( X, Z ), alpha3( X, Y, Z ) }.
% 0.82/1.39 { rline( skol4( W, V0, V1 ) ), ! vangle( X, V2, Y ) = vangle( Z, U, T ), !
% 0.82/1.39 vf( V2, Y ) = vf( U, T ), ! vf( V2, X ) = vf( U, Z ), ! T = V3, ! rpoint
% 0.82/1.39 ( V3 ), ! Z = V4, ! rpoint( V4 ), ! U = V5, ! rpoint( V5 ), X = Y, V2 = Y
% 0.82/1.39 , V2 = X, ! Y = V6, ! rpoint( V6 ), ! X = V7, ! rpoint( V7 ), ! V2 = V8,
% 0.82/1.39 ! rpoint( V8 ), vf( X, Y ) = vf( Z, T ) }.
% 0.82/1.39 { ron( U, skol4( W, V0, U ) ), ! vangle( X, V1, Y ) = vangle( Z, U, T ), !
% 0.82/1.39 vf( V1, Y ) = vf( U, T ), ! vf( V1, X ) = vf( U, Z ), ! T = V2, ! rpoint
% 0.82/1.39 ( V2 ), ! Z = V3, ! rpoint( V3 ), ! U = V4, ! rpoint( V4 ), X = Y, V1 = Y
% 0.82/1.39 , V1 = X, ! Y = V5, ! rpoint( V5 ), ! X = V6, ! rpoint( V6 ), ! V1 = V7,
% 0.82/1.39 ! rpoint( V7 ), vf( X, Y ) = vf( Z, T ) }.
% 0.82/1.39 { alpha4( Z, T, skol4( Z, T, U ) ), ! vangle( X, W, Y ) = vangle( Z, U, T )
% 0.82/1.39 , ! vf( W, Y ) = vf( U, T ), ! vf( W, X ) = vf( U, Z ), ! T = V0, !
% 0.82/1.39 rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! U = V2, ! rpoint( V2 ), X = Y,
% 0.82/1.39 W = Y, W = X, ! Y = V3, ! rpoint( V3 ), ! X = V4, ! rpoint( V4 ), ! W =
% 0.82/1.39 V5, ! rpoint( V5 ), vf( X, Y ) = vf( Z, T ) }.
% 0.82/1.39 { ! alpha4( X, Y, Z ), ron( Y, Z ) }.
% 0.82/1.39 { ! alpha4( X, Y, Z ), ron( X, Z ) }.
% 0.82/1.39 { ! ron( Y, Z ), ! ron( X, Z ), alpha4( X, Y, Z ) }.
% 0.82/1.39 { ! vd1302 = vd1287 }.
% 0.82/1.39 { ! vd1329 = vd1287 }.
% 0.82/1.39 { vf( vd1287, vd1302 ) = vf( vd1287, vd1329 ) }.
% 0.82/1.39 { ! vd1289 = vd1287 }.
% 0.82/1.39 { ! vd1302 = vd1287 }.
% 0.82/1.39 { ron( vd1329, vd1295 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1287,
% 0.82/1.39 vd1289, vd1288 ) = vangle( vd1287, vd1288, vd1289 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vplus( vangle(
% 0.82/1.39 vd1288, vd1289, vd1299 ), vangle( vd1287, vd1289, vd1288 ) ) = vangle(
% 0.82/1.39 vd1287, vd1289, vd1299 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1288,
% 0.82/1.39 vd1289, vd1299 ) = vangle( vd1289, vd1288, vskolem1306 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1299,
% 0.82/1.39 vd1288, vd1289 ) = vangle( vskolem1306, vd1289, vd1288 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vf( vd1288, vd1299
% 0.82/1.39 ) = vf( vd1289, vskolem1306 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1288,
% 0.82/1.39 vd1299, vd1289 ) = vangle( vd1289, vskolem1306, vd1288 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vf( vd1299, vd1289
% 0.82/1.39 ) = vf( vd1288, vskolem1306 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1287,
% 0.82/1.39 vd1288, vskolem1306 ) = vangle( vd1287, vd1289, vd1299 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1287,
% 0.82/1.39 vd1299, vd1289 ) = vangle( vd1287, vskolem1306, vd1288 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vf( vd1299, vd1289
% 0.82/1.39 ) = vf( vskolem1306, vd1288 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1288,
% 0.82/1.39 vd1287, vd1289 ) = vangle( vd1299, vd1287, vd1289 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1288,
% 0.82/1.39 vd1287, vd1289 ) = vangle( vd1288, vd1287, vskolem1306 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! rR( vd1287,
% 0.82/1.39 vd1289, vskolem1306 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! rR( vd1287,
% 0.82/1.39 vd1288, vd1299 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vskolem1306 =
% 0.82/1.39 vd1287 }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vd1299 = vd1287
% 0.82/1.39 }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vd1289 = vd1287
% 0.82/1.39 }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vd1288 = vd1287
% 0.82/1.39 }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1289,
% 0.82/1.39 vd1297 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1288,
% 0.82/1.39 vd1295 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vskolem1306,
% 0.82/1.39 vd1297 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1287,
% 0.82/1.39 vd1297 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1299,
% 0.82/1.39 vd1295 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1287,
% 0.82/1.39 vd1295 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vd1299 = vd1287
% 0.82/1.39 }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vskolem1306 =
% 0.82/1.39 vd1302 }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vskolem1306 =
% 0.82/1.39 vd1287 }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vskolem1306,
% 0.82/1.39 vd1297 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vf( vd1287, vd1299
% 0.82/1.39 ) = vf( vd1287, vskolem1306 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), rR( vskolem1306,
% 0.82/1.39 vd1287, vd1302 ) }.
% 0.82/1.39 { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), rpoint(
% 0.82/1.39 vskolem1306 ) }.
% 0.82/1.39 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.82/1.39 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.82/1.39 rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T )
% 0.82/1.39 = vperp }.
% 0.82/1.39 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.82/1.39 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.82/1.39 rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 0.82/1.39 , Z, Y ) }.
% 0.82/1.39 { ! vd1288 = vd1287 }.
% 0.82/1.39 { ron( vd1288, vd1295 ) }.
% 0.82/1.39 { ! vd1329 = vd1302 }.
% 0.82/1.39 { ron( vd1302, vd1297 ) }.
% 0.82/1.39 { ron( vd1299, vd1295 ) }.
% 0.82/1.39 { ron( vd1289, vd1297 ) }.
% 0.82/1.39 { ron( vd1287, vd1297 ) }.
% 0.82/1.39 { rline( vd1297 ) }.
% 0.82/1.39 { ron( vd1288, vd1295 ) }.
% 0.82/1.39 { ron( vd1287, vd1295 ) }.
% 0.82/1.39 { rline( vd1295 ) }.
% 0.82/1.39 { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint(
% 0.82/1.39 V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint(
% 0.82/1.39 Y ), vf( X, vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) = vf( U, V0 ) }.
% 0.82/1.39 { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint(
% 0.82/1.39 V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint(
% 0.82/1.39 Y ), rR( vskolem1120( X, Y, Z, T, U, W, V0, V1 ), X, Z ) }.
% 0.82/1.39 { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint(
% 0.82/1.39 V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint(
% 0.82/1.39 Y ), rpoint( vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) }.
% 0.82/1.39 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 0.82/1.39 = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.82/1.39 ron( X, Y ) }.
% 0.82/1.39 { ron( vd1329, vd1295 ) }.
% 0.82/1.39 { ron( vd1299, vd1295 ) }.
% 0.82/1.39 { ron( vd1289, vd1297 ) }.
% 0.82/1.39 { ron( vd1287, vd1297 ) }.
% 0.82/1.39 { ron( vd1287, vd1295 ) }.
% 0.82/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U
% 0.82/1.39 = X, ! rpoint( W ), vf( X, Y ) = vf( U, vskolem1078( U, W, X, Y ) ) }.
% 0.82/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U
% 0.82/1.39 = X, ! rpoint( W ), rpoint( vskolem1078( U, W, X, Y ) ) }.
% 0.82/1.39 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.82/1.39 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.82/1.39 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.82/1.39 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.82/1.39 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 0.82/1.39 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.82/1.39 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.82/1.39 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.82/1.39 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.82/1.39 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 0.82/1.39 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.82/1.39 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.82/1.39 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.82/1.39 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T,
% 0.82/1.39 W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 0.82/1.39 .
% 0.82/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.82/1.39 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 0.82/1.39 ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 0.82/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.82/1.39 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.82/1.39 vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 0.82/1.39 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.82/1.39 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.82/1.39 vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 0.82/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 0.82/1.39 .
% 0.82/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol5( U, W ) ) }
% 0.82/1.39 .
% 0.82/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol5( X, Y
% 0.82/1.39 ) }.
% 0.82/1.39 { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 0.82/1.39 { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W,
% 0.82/1.39 ! rpoint( W ), ! ron( X, Y ) }.
% 0.82/1.39 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 0.82/1.39 = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.82/1.39 ron( X, Y ) }.
% 0.82/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol6( U, W
% 0.82/1.39 ) ) }.
% 0.82/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol6( U,
% 0.82/1.39 Y ) ) }.
% 0.82/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol6( X,
% 0.82/1.39 Y ) ) }.
% 0.82/1.39 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( Z, vskolem1052
% 0.82/1.39 ( X, Y, Z, T ) ) = vf( vskolem1052( X, Y, Z, T ), X ) }.
% 0.82/1.39 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( X, Z ) = vf( Z
% 0.82/1.39 , vskolem1052( X, Y, Z, T ) ) }.
% 0.82/1.39 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), rpoint(
% 0.82/1.39 vskolem1052( X, Y, Z, T ) ) }.
% 0.82/1.39 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.82/1.39 rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 0.82/1.39 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.82/1.39 rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 0.82/1.39 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.82/1.39 rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 0.82/1.39 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.82/1.39 rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 0.82/1.39 { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.82/1.39 rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 0.82/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 0.82/1.39 }.
% 0.82/1.39 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 0.82/1.39 }.
% 0.82/1.39 { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 0.82/1.39 U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 0.82/1.39 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 0.82/1.39 , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.82/1.39 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.82/1.39 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 0.82/1.39 ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.82/1.39 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.82/1.39 { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W,
% 0.82/1.39 ! rpoint( W ), rS( Y, X, Z ) }.
% 0.82/1.39 { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.82/1.39 rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 0.82/1.39 , Y ) }.
% 0.82/1.39 { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 0.82/1.39 ( X, Y ) }.
% 0.82/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.39 alpha25( X, Y, skol7( X, Y ), skol50( X, Y ) ) }.
% 0.82/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.39 rpoint( skol7( X, Y ) ) }.
% 0.82/1.39 { ! alpha25( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha25( X, Y, Z, T ), ron( Z, X ) }.
% 0.82/1.39 { ! alpha31( X, Y, Z, T ), ! ron( Z, X ), alpha25( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha31( X, Y, Z, T ), alpha36( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha31( X, Y, Z, T ), ron( Z, Y ) }.
% 0.82/1.39 { ! alpha36( X, Y, Z, T ), ! ron( Z, Y ), alpha31( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha36( X, Y, Z, T ), alpha5( Y, Z, T ) }.
% 0.82/1.39 { ! alpha36( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.39 { ! alpha36( X, Y, Z, T ), rpoint( T ) }.
% 0.82/1.39 { ! alpha5( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha36( X, Y, Z, T )
% 0.82/1.39 }.
% 0.82/1.39 { ! alpha5( X, Y, Z ), ! Y = Z }.
% 0.82/1.39 { ! alpha5( X, Y, Z ), ron( Z, X ) }.
% 0.82/1.39 { Y = Z, ! ron( Z, X ), alpha5( X, Y, Z ) }.
% 0.82/1.39 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.82/1.39 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.82/1.39 ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol8( V2, V3, V4, V5 ) ) }.
% 0.82/1.39 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.82/1.39 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.82/1.39 ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol8( V2, Y, V3, V4 ), Y ) }.
% 0.82/1.39 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.82/1.39 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.82/1.39 ( V0 ), ! X = V1, ! rcircle( V1 ), alpha6( X, Z, T, skol8( X, Y, Z, T ) )
% 0.82/1.39 }.
% 0.82/1.39 { ! alpha6( X, Y, Z, T ), rR( T, Y, Z ) }.
% 0.82/1.39 { ! alpha6( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.39 { ! rR( T, Y, Z ), ! ron( T, X ), alpha6( X, Y, Z, T ) }.
% 0.82/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol9( U
% 0.82/1.39 , W ) ) }.
% 0.82/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol9( U,
% 0.82/1.39 Y ) ) }.
% 0.82/1.39 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol9
% 0.82/1.39 ( X, Y ) ) }.
% 0.82/1.39 { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 0.82/1.39 ( U ), ! X = W, ! rreal( W ), X = Y }.
% 0.82/1.39 { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 0.82/1.39 , X ), X = Y }.
% 0.82/1.39 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 0.82/1.39 ) }.
% 0.82/1.39 { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 0.82/1.39 { v0 = vd684 }.
% 0.82/1.39 { rreal( vd684 ) }.
% 0.82/1.39 { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 0.82/1.39 , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X =
% 0.82/1.39 V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 0.82/1.39 { ! V4 = V5, alpha32( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 0.82/1.39 ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 0.82/1.39 , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 0.82/1.39 rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 0.82/1.39 T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, !
% 0.82/1.39 rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ),
% 0.82/1.39 ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 =
% 0.82/1.39 V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), !
% 0.82/1.39 V6 = V27, ! rpoint( V27 ), alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.82/1.39 .
% 0.82/1.39 { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 0.82/1.39 ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 0.82/1.39 ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 0.82/1.39 , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 0.82/1.39 ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, !
% 0.82/1.39 rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), !
% 0.82/1.39 V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, !
% 0.82/1.39 rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), !
% 0.82/1.39 V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha37( X, Y, Z
% 0.82/1.39 , T, U, W, V0, V1, V2, V3 ) }.
% 0.82/1.39 { ! alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) =
% 0.82/1.39 vangle( V1, V2, V3 ) }.
% 0.82/1.39 { ! alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 0.82/1.39 .
% 0.82/1.39 { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ),
% 0.82/1.39 alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.82/1.39 { ! alpha32( X, Y, Z, T, U, W, V0 ), rS( skol10( X, V1, V2, V3, V4, V5, V0
% 0.82/1.39 ), V0, X ) }.
% 0.82/1.39 { ! alpha32( X, Y, Z, T, U, W, V0 ), alpha7( X, U, W, skol51( X, V1, V2, V3
% 0.82/1.39 , U, W, V4 ) ) }.
% 0.82/1.39 { ! alpha32( X, Y, Z, T, U, W, V0 ), alpha26( Y, Z, T, U, skol10( X, Y, Z,
% 0.82/1.39 T, U, W, V0 ), skol51( X, Y, Z, T, U, W, V0 ) ) }.
% 0.82/1.39 { ! rS( V1, V0, X ), ! alpha7( X, U, W, V2 ), ! alpha26( Y, Z, T, U, V1, V2
% 0.82/1.39 ), alpha32( X, Y, Z, T, U, W, V0 ) }.
% 0.82/1.39 { ! alpha26( X, Y, Z, T, U, W ), rpoint( skol11( V0, V1, V2, V3, V4, V5 ) )
% 0.82/1.39 }.
% 0.82/1.39 { ! alpha26( X, Y, Z, T, U, W ), alpha38( X, Y, Z, T, U, W, skol11( X, Y, Z
% 0.82/1.39 , T, U, W ) ) }.
% 0.82/1.39 { ! alpha38( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha26( X, Y, Z, T, U
% 0.82/1.39 , W ) }.
% 0.82/1.39 { ! alpha38( X, Y, Z, T, U, W, V0 ), alpha42( X, Y, Z, T, U, W, V0 ) }.
% 0.82/1.39 { ! alpha38( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 0.82/1.39 { ! alpha42( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha38( X, Y, Z, T, U
% 0.82/1.39 , W, V0 ) }.
% 0.82/1.39 { ! alpha42( X, Y, Z, T, U, W, V0 ), alpha33( X, Y, Z, U, W, V0 ) }.
% 0.82/1.39 { ! alpha42( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 0.82/1.39 { ! alpha42( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 0.82/1.39 { ! alpha33( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha42( X, Y, Z
% 0.82/1.39 , T, U, W, V0 ) }.
% 0.82/1.39 { ! alpha33( X, Y, Z, T, U, W ), alpha39( X, Y, Z, T, U, W ) }.
% 0.82/1.39 { ! alpha33( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 0.82/1.39 { ! alpha39( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ),
% 0.82/1.39 alpha33( X, Y, Z, T, U, W ) }.
% 0.82/1.39 { ! alpha39( X, Y, Z, T, U, W ), alpha43( X, Y, Z, T, U, W ) }.
% 0.82/1.39 { ! alpha39( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 0.82/1.39 { ! alpha43( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ),
% 0.82/1.39 alpha39( X, Y, Z, T, U, W ) }.
% 0.82/1.39 { ! alpha43( X, Y, Z, T, U, W ), alpha45( X, Y, Z, T, U, W ) }.
% 0.82/1.39 { ! alpha43( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 0.82/1.39 { ! alpha45( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ),
% 0.82/1.39 alpha43( X, Y, Z, T, U, W ) }.
% 0.82/1.39 { ! alpha45( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 0.82/1.39 { ! alpha45( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 0.82/1.39 { ! alpha45( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 0.82/1.39 { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf(
% 0.82/1.39 W, U ), alpha45( X, Y, Z, T, U, W ) }.
% 0.82/1.39 { ! alpha7( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 0.82/1.39 { ! alpha7( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.39 { rR( Y, T, Z ), ! ron( T, X ), alpha7( X, Y, Z, T ) }.
% 0.82/1.39 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.82/1.39 , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 0.82/1.39 { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 0.82/1.39 ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 0.82/1.39 ) }.
% 0.82/1.39 { ! rcenter( X, Y ), rinside( X, Y ) }.
% 0.82/1.39 { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, !
% 0.82/1.39 rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 0.82/1.39 V1, ! rpoint( V1 ), X = Y }.
% 0.82/1.39 { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 0.82/1.39 rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.82/1.39 { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 0.82/1.39 ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 0.82/1.39 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 0.82/1.39 ( Y, X ) }.
% 0.82/1.39 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol12( U, W ) ) }.
% 0.82/1.39 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol12( X,
% 0.82/1.39 Y ) }.
% 0.82/1.39 { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, !
% 0.82/1.39 rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 0.82/1.39 { rS( Y, Z, skol13( Y, Z ) ), alpha8( X, Z ), ! ron( Y, X ), ! U = T, !
% 0.82/1.39 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.82/1.39 , ! rpoint( V1 ), rintersect( skol52( X ), X ) }.
% 0.82/1.39 { rS( Y, Z, skol13( Y, Z ) ), alpha8( X, Z ), ! rinside( Y, X ), ! U = T, !
% 0.82/1.39 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y =
% 0.82/1.39 V1, ! rpoint( V1 ), rintersect( skol52( X ), X ) }.
% 0.82/1.39 { ! alpha8( X, Y ), ! ron( Y, X ) }.
% 0.82/1.39 { ! alpha8( X, Y ), ! rinside( Y, X ) }.
% 0.82/1.39 { ron( Y, X ), rinside( Y, X ), alpha8( X, Y ) }.
% 0.82/1.39 { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 0.82/1.39 ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ),
% 0.82/1.39 rintersect( X, Y ) }.
% 0.82/1.39 { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ),
% 0.82/1.39 ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 0.82/1.39 , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), !
% 0.82/1.39 rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, !
% 0.82/1.39 rcircle( V5 ), ! rS( X, Y, Z ) }.
% 0.82/1.39 { ! rR( T, Z, X ), rinside( T, Y ), alpha9( Y, Z ), ! Y = U, ! rcircle( U )
% 0.82/1.39 , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint(
% 0.82/1.39 V1 ), ! ron( X, Y ) }.
% 0.82/1.39 { ! rR( T, Z, X ), rinside( T, Y ), alpha9( Y, Z ), ! Y = U, ! rcircle( U )
% 0.82/1.39 , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint(
% 0.82/1.39 V1 ), ! ron( X, Y ) }.
% 0.82/1.39 { ! alpha9( X, Y ), ! ron( Y, X ) }.
% 0.82/1.39 { ! alpha9( X, Y ), ! rinside( Y, X ) }.
% 0.82/1.39 { ron( Y, X ), rinside( Y, X ), alpha9( X, Y ) }.
% 0.82/1.39 { ! rR( X, Z, T ), alpha10( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U )
% 0.82/1.39 , ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint(
% 0.82/1.39 V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.82/1.39 { ! rR( X, Z, T ), alpha10( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle(
% 0.82/1.39 U ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 0.82/1.39 ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.82/1.39 { ! alpha10( X, Y ), ! ron( Y, X ) }.
% 0.82/1.39 { ! alpha10( X, Y ), ! rinside( Y, X ) }.
% 0.82/1.39 { ron( Y, X ), rinside( Y, X ), alpha10( X, Y ) }.
% 0.82/1.39 { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), !
% 0.82/1.39 ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline(
% 0.82/1.39 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.82/1.39 rpoint( V3 ), rR( X, Y, Z ) }.
% 0.82/1.39 { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), !
% 0.82/1.39 ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 0.82/1.39 ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 0.82/1.39 V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline(
% 0.82/1.39 V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 0.82/1.39 { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 0.82/1.39 ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 0.82/1.39 W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 0.82/1.39 ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 0.82/1.39 ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 0.82/1.39 { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 0.82/1.39 , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 0.82/1.39 ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, !
% 0.82/1.39 rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 0.82/1.39 , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 0.82/1.39 { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 0.82/1.39 , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X
% 0.82/1.39 = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.82/1.39 rpoint( V3 ), rR( Y, X, Z ) }.
% 0.82/1.39 { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 0.82/1.39 W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 0.82/1.39 ( X, Y, Z ) }.
% 0.82/1.39 { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, !
% 0.82/1.39 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 0.82/1.39 , Z ) }.
% 0.82/1.39 { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 0.82/1.39 ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 0.82/1.39 ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 0.82/1.39 { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, !
% 0.82/1.39 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 0.82/1.39 , Z ) }.
% 0.82/1.39 { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 0.82/1.39 }.
% 0.82/1.39 { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.82/1.39 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 0.82/1.39 , Y, Z ) }.
% 0.82/1.39 { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 0.82/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol14( V3, V4, V5, V6
% 0.82/1.39 ) ) }.
% 0.82/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol14( X, V3, V4, V5 ), X
% 0.82/1.39 ) }.
% 0.82/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha11( Y, Z, T, skol14( X, Y
% 0.82/1.39 , Z, T ) ) }.
% 0.82/1.39 { ! alpha11( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 0.82/1.39 { ! alpha11( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.39 { rS( T, Z, Y ), ! ron( T, X ), alpha11( X, Y, Z, T ) }.
% 0.82/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol15( V3, V4, V5, V6
% 0.82/1.39 ) ) }.
% 0.82/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol15( X, V3, V4, V5 ), X
% 0.82/1.39 ) }.
% 0.82/1.39 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.82/1.39 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.82/1.39 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha12( Y, Z, T, skol15( X, Y
% 0.82/1.39 , Z, T ) ) }.
% 0.82/1.39 { ! alpha12( X, Y, Z, T ), rS( T, Z, Y ) }.
% 0.82/1.39 { ! alpha12( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.39 { ! rS( T, Z, Y ), ! ron( T, X ), alpha12( X, Y, Z, T ) }.
% 0.82/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.39 rpoint( skol16( U, W ) ) }.
% 0.82/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.39 ron( skol16( U, Y ), Y ) }.
% 0.82/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.39 ron( skol16( X, Y ), X ) }.
% 0.82/1.39 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.82/1.39 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.82/1.39 rcircle( V1 ), rpoint( skol17( V2, V3, V4, V5 ) ) }.
% 0.82/1.39 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.82/1.39 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.82/1.39 rcircle( V1 ), ron( skol17( X, V2, V3, V4 ), X ) }.
% 0.82/1.39 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.82/1.39 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.82/1.39 rcircle( V1 ), alpha13( Y, Z, T, skol17( X, Y, Z, T ) ) }.
% 0.82/1.39 { ! alpha13( X, Y, Z, T ), rR( Y, T, Z ) }.
% 0.82/1.39 { ! alpha13( X, Y, Z, T ), ron( T, X ) }.
% 0.82/1.39 { ! rR( Y, T, Z ), ! ron( T, X ), alpha13( X, Y, Z, T ) }.
% 0.82/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.39 alpha27( X, Y, skol18( X, Y ), skol53( X, Y ) ) }.
% 0.82/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.39 rpoint( skol18( X, Y ) ) }.
% 0.82/1.39 { ! alpha27( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha27( X, Y, Z, T ), ron( Z, Y ) }.
% 0.82/1.39 { ! alpha34( X, Y, Z, T ), ! ron( Z, Y ), alpha27( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha34( X, Y, Z, T ), alpha40( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha34( X, Y, Z, T ), ron( Z, X ) }.
% 0.82/1.39 { ! alpha40( X, Y, Z, T ), ! ron( Z, X ), alpha34( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha40( X, Y, Z, T ), alpha14( X, Z, T ) }.
% 0.82/1.39 { ! alpha40( X, Y, Z, T ), ron( T, Y ) }.
% 0.82/1.39 { ! alpha40( X, Y, Z, T ), rpoint( T ) }.
% 0.82/1.39 { ! alpha14( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha40( X, Y, Z, T )
% 0.82/1.39 }.
% 0.82/1.39 { ! alpha14( X, Y, Z ), ! Y = Z }.
% 0.82/1.39 { ! alpha14( X, Y, Z ), ron( Z, X ) }.
% 0.82/1.39 { Y = Z, ! ron( Z, X ), alpha14( X, Y, Z ) }.
% 0.82/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.82/1.39 rpoint( skol19( U, W ) ) }.
% 0.82/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.82/1.39 ( skol19( U, Y ), Y ) }.
% 0.82/1.39 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.82/1.39 ( skol19( X, Y ), X ) }.
% 0.82/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ),
% 0.82/1.39 rpoint( skol20( U, W ) ) }.
% 0.82/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.82/1.39 skol20( U, Y ), Y ) }.
% 0.82/1.39 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.82/1.39 skol20( X, Y ), X ) }.
% 0.82/1.39 { ! X = Y, ! rcircle( Y ), rpoint( skol21( Z ) ) }.
% 0.82/1.39 { ! X = Y, ! rcircle( Y ), ! rinside( skol21( X ), X ) }.
% 0.82/1.39 { ! X = Y, ! rcircle( Y ), ! ron( skol21( X ), X ) }.
% 0.82/1.39 { ! X = Y, ! rcircle( Y ), rpoint( skol22( Z ) ) }.
% 0.82/1.39 { ! X = Y, ! rcircle( Y ), rinside( skol22( X ), X ) }.
% 0.82/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.39 U ), ! X = W, ! rcircle( W ), rpoint( skol23( V0, V1, V2 ) ) }.
% 0.82/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.39 U ), ! X = W, ! rcircle( W ), ron( skol23( X, V0, V1 ), X ) }.
% 0.82/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.39 U ), ! X = W, ! rcircle( W ), alpha15( Y, Z, skol23( X, Y, Z ) ) }.
% 0.82/1.39 { ! alpha15( X, Y, Z ), ! Z = Y }.
% 0.82/1.39 { ! alpha15( X, Y, Z ), ! Z = X }.
% 0.82/1.39 { Z = Y, Z = X, alpha15( X, Y, Z ) }.
% 0.82/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint(
% 0.82/1.39 skol24( U, W ) ) }.
% 0.82/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol24
% 0.82/1.39 ( U, Y ) = Y }.
% 0.82/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron(
% 0.82/1.39 skol24( X, Y ), X ) }.
% 0.82/1.39 { ! X = Y, ! rcircle( Y ), rpoint( skol25( Z ) ) }.
% 0.82/1.39 { ! X = Y, ! rcircle( Y ), ron( skol25( X ), X ) }.
% 0.82/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.82/1.39 skol26( U, W ) ) }.
% 0.82/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol26
% 0.82/1.39 ( X, Y ), Y, X ) }.
% 0.82/1.39 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.82/1.39 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.82/1.39 rpoint( skol27( V2, V3, V4, V5 ) ) }.
% 0.82/1.39 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.82/1.39 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.82/1.39 rS( skol27( X, Y, V2, V3 ), Y, X ) }.
% 0.82/1.39 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.82/1.39 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.82/1.39 alpha28( Y, Z, T, skol27( X, Y, Z, T ) ) }.
% 0.82/1.39 { ! alpha28( X, Y, Z, T ), alpha16( Y, Z, T ) }.
% 0.82/1.39 { ! alpha28( X, Y, Z, T ), ! T = X }.
% 0.82/1.39 { ! alpha16( Y, Z, T ), T = X, alpha28( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha16( X, Y, Z ), ! Z = Y }.
% 0.82/1.39 { ! alpha16( X, Y, Z ), ! Z = X }.
% 0.82/1.39 { Z = Y, Z = X, alpha16( X, Y, Z ) }.
% 0.82/1.39 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.82/1.39 T ), ! X = W, ! rline( W ), rpoint( skol28( V0, V1, V2 ) ) }.
% 0.82/1.39 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.82/1.39 T ), ! X = W, ! rline( W ), alpha17( Y, Z, skol28( V0, Y, Z ) ) }.
% 0.82/1.39 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.82/1.39 T ), ! X = W, ! rline( W ), rS( skol28( X, Y, Z ), Y, X ) }.
% 0.82/1.39 { ! alpha17( X, Y, Z ), ! Z = Y }.
% 0.82/1.39 { ! alpha17( X, Y, Z ), ! Z = X }.
% 0.82/1.39 { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 0.82/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.82/1.39 skol29( U, W ) ) }.
% 0.82/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol29( U,
% 0.82/1.39 Y ) = Y }.
% 0.82/1.39 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol29( X
% 0.82/1.39 , Y ), Y, X ) }.
% 0.82/1.39 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.82/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.82/1.39 rpoint( skol30( V2, V3, V4 ) ) }.
% 0.82/1.39 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.82/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.82/1.39 ! skol30( V2, V3, Z ) = Z }.
% 0.82/1.39 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.82/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.82/1.39 rR( Y, X, skol30( X, Y, Z ) ) }.
% 0.82/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.82/1.39 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol31( V0, V1 ) ) }.
% 0.82/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.82/1.39 rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol31( X, Y ) ) }.
% 0.82/1.39 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.82/1.39 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.82/1.39 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint(
% 0.82/1.39 skol32( V4, V5, V6, V7 ) ) }.
% 0.82/1.39 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.82/1.39 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.82/1.39 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha18
% 0.82/1.39 ( Z, T, skol32( V4, V5, Z, T ) ) }.
% 0.82/1.39 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.82/1.39 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.82/1.39 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR(
% 0.82/1.39 skol32( X, Y, Z, T ), X, Y ) }.
% 0.82/1.39 { ! alpha18( X, Y, Z ), ! Z = Y }.
% 0.82/1.39 { ! alpha18( X, Y, Z ), ! Z = X }.
% 0.82/1.39 { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 0.82/1.39 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.82/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.82/1.39 rpoint( skol33( V2, V3, V4 ) ) }.
% 0.82/1.39 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.82/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.82/1.39 ! skol33( V2, V3, Z ) = Z }.
% 0.82/1.39 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.82/1.39 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.82/1.39 rR( skol33( X, Y, Z ), X, Y ) }.
% 0.82/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.82/1.39 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol34( V0, V1 ) ) }.
% 0.82/1.39 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.82/1.39 rpoint( U ), ! Z = W, ! rline( W ), rR( skol34( X, Y ), X, Y ) }.
% 0.82/1.39 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.82/1.39 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.82/1.39 rpoint( skol35( V2, V3, V4 ) ) }.
% 0.82/1.39 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.82/1.39 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.82/1.39 ron( skol35( X, V2, V3 ), X ) }.
% 0.82/1.39 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.82/1.39 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.82/1.39 alpha19( Y, Z, skol35( X, Y, Z ) ) }.
% 0.82/1.39 { ! alpha19( X, Y, Z ), ! Z = Y }.
% 0.82/1.39 { ! alpha19( X, Y, Z ), ! Z = X }.
% 0.82/1.39 { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 0.82/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.39 U ), ! X = W, ! rline( W ), rpoint( skol36( V0, V1, V2 ) ) }.
% 0.82/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.39 U ), ! X = W, ! rline( W ), ron( skol36( X, V0, V1 ), X ) }.
% 0.82/1.39 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.82/1.39 U ), ! X = W, ! rline( W ), alpha20( Y, Z, skol36( X, Y, Z ) ) }.
% 0.82/1.39 { ! alpha20( X, Y, Z ), ! Z = Y }.
% 0.82/1.39 { ! alpha20( X, Y, Z ), ! Z = X }.
% 0.82/1.39 { Z = Y, Z = X, alpha20( X, Y, Z ) }.
% 0.82/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.82/1.39 skol37( U, W ) ) }.
% 0.82/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol37( U
% 0.82/1.39 , Y ) = Y }.
% 0.82/1.39 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol37
% 0.82/1.39 ( X, Y ), X ) }.
% 0.82/1.39 { ! X = Y, ! rline( Y ), rpoint( skol38( Z ) ) }.
% 0.82/1.39 { ! X = Y, ! rline( Y ), ron( skol38( X ), X ) }.
% 0.82/1.39 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.82/1.39 , ! X = V1, ! rpoint( V1 ), rpoint( skol39( V2, V3, V4, V5 ) ) }.
% 0.82/1.39 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.82/1.39 , ! X = V1, ! rpoint( V1 ), ! skol39( X, V2, V3, V4 ) = X }.
% 0.82/1.39 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.82/1.39 , ! X = V1, ! rpoint( V1 ), alpha29( Y, Z, T, skol39( X, Y, Z, T ) ) }.
% 0.82/1.39 { ! alpha29( X, Y, Z, T ), alpha21( Y, Z, T ) }.
% 0.82/1.39 { ! alpha29( X, Y, Z, T ), ! T = X }.
% 0.82/1.39 { ! alpha21( Y, Z, T ), T = X, alpha29( X, Y, Z, T ) }.
% 0.82/1.39 { ! alpha21( X, Y, Z ), ! Z = Y }.
% 0.82/1.39 { ! alpha21( X, Y, Z ), ! Z = X }.
% 0.82/1.39 { Z = Y, Z = X, alpha21( X, Y, Z ) }.
% 0.82/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.39 rpoint( skol40( V0, V1, V2 ) ) }.
% 0.82/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 0.82/1.39 skol40( X, V0, V1 ) = X }.
% 0.82/1.39 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.39 alpha22( Y, Z, skol40( X, Y, Z ) ) }.
% 0.82/1.39 { ! alpha22( X, Y, Z ), ! Z = Y }.
% 0.82/1.39 { ! alpha22( X, Y, Z ), ! Z = X }.
% 0.82/1.40 { Z = Y, Z = X, alpha22( X, Y, Z ) }.
% 0.82/1.40 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol41( U, W ) )
% 0.82/1.40 }.
% 0.82/1.40 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol41( U, Y ) = Y }.
% 0.82/1.40 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol41( X, Y ) = X }.
% 0.82/1.40 { ! X = Y, ! rpoint( Y ), rpoint( skol42( Z ) ) }.
% 0.82/1.40 { ! X = Y, ! rpoint( Y ), ! skol42( X ) = X }.
% 0.82/1.40 { rpoint( vd14 ) }.
% 0.82/1.40 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha41( X, Y, Z ) }.
% 0.82/1.40 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha35( X ) }.
% 0.82/1.40 { ! alpha41( X, Y, Z ), alpha44( X, Y, Z ) }.
% 0.82/1.40 { ! alpha41( X, Y, Z ), alpha30( Y ) }.
% 0.82/1.40 { ! alpha44( X, Y, Z ), ! alpha30( Y ), alpha41( X, Y, Z ) }.
% 0.82/1.40 { ! alpha44( X, Y, Z ), alpha46( X, Y, Z ) }.
% 0.82/1.40 { ! alpha44( X, Y, Z ), alpha23( Z ) }.
% 0.82/1.40 { ! alpha46( X, Y, Z ), ! alpha23( Z ), alpha44( X, Y, Z ) }.
% 0.82/1.40 { ! alpha46( X, Y, Z ), ! Y = Z }.
% 0.82/1.40 { ! alpha46( X, Y, Z ), ! X = Z }.
% 0.82/1.40 { ! alpha46( X, Y, Z ), ! X = Y }.
% 0.82/1.40 { Y = Z, X = Z, X = Y, alpha46( X, Y, Z ) }.
% 0.82/1.40 { ! alpha35( X ), rpoint( skol43( Y ) ) }.
% 0.82/1.40 { ! alpha35( X ), X = skol43( X ) }.
% 0.82/1.40 { ! X = Y, ! rpoint( Y ), alpha35( X ) }.
% 0.82/1.40 { ! alpha30( X ), rpoint( skol44( Y ) ) }.
% 0.82/1.40 { ! alpha30( X ), X = skol44( X ) }.
% 0.82/1.40 { ! X = Y, ! rpoint( Y ), alpha30( X ) }.
% 0.82/1.40 { ! alpha23( X ), rpoint( skol45( Y ) ) }.
% 0.82/1.40 { ! alpha23( X ), X = skol45( X ) }.
% 0.82/1.40 { ! X = Y, ! rpoint( Y ), alpha23( X ) }.
% 0.82/1.40 { ! rcenter( X, Y ), rcircle( skol46( Z, T ) ) }.
% 0.82/1.40 { ! rcenter( X, Y ), Y = skol46( Z, Y ) }.
% 0.82/1.40 { ! rcenter( X, Y ), alpha24( X ) }.
% 0.82/1.40 { ! alpha24( X ), rpoint( skol47( Y ) ) }.
% 0.82/1.40 { ! alpha24( X ), X = skol47( X ) }.
% 0.82/1.40 { ! X = Y, ! rpoint( Y ), alpha24( X ) }.
% 0.82/1.40 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.82/1.40 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.82/1.40 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 0.82/1.40 , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 0.82/1.40 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.82/1.40 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.82/1.40 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 0.82/1.40 , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 0.82/1.40 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 0.82/1.40 .
% 0.82/1.40 { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 0.82/1.40 ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ),
% 0.82/1.40 X = Y }.
% 0.82/1.40 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.82/1.40 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 0.82/1.40 , Y, Z ) = v0, ron( Z, T ) }.
% 0.82/1.40 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.82/1.40 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 0.82/1.40 , T ), vg( X, Y, Z ) = v0 }.
% 0.82/1.40 { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 0.82/1.40 , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W,
% 0.82/1.40 T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.82/1.40 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z =
% 0.82/1.40 V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ),
% 0.82/1.40 vg( X, Y, Z ) = vg( T, U, W ) }.
% 0.82/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.40 rreal( skol48( V0, V1, V2 ) ) }.
% 0.82/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.40 vg( X, Y, Z ) = skol48( X, Y, Z ) }.
% 0.82/1.40 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.82/1.40 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.82/1.40 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.82/1.40 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.82/1.40 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.82/1.40 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y,
% 0.82/1.40 Z ), rS( Y, X, T ) }.
% 0.82/1.40 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.82/1.40 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.82/1.40 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.82/1.40 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.82/1.40 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.82/1.40 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 0.82/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.40 vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 0.82/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.40 vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 0.82/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.40 rgeq( vg( X, Y, Z ), v0 ) }.
% 0.82/1.40 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 0.82/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.40 rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 0.82/1.40 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.82/1.40 rleq( v0, vangle( X, Y, Z ) ) }.
% 0.82/1.40
% 0.82/1.40 *** allocated 15000 integers for clauses
% 0.82/1.40 *** allocated 22500 integers for clauses
% 0.82/1.40 percentage equality = 0.393222, percentage horn = 0.733850
% 0.82/1.40 This is a problem with some equality
% 0.82/1.40
% 0.82/1.40
% 0.82/1.40
% 0.82/1.40 Options Used:
% 0.82/1.40
% 0.82/1.40 useres = 1
% 0.82/1.40 useparamod = 1
% 0.82/1.40 useeqrefl = 1
% 0.82/1.40 useeqfact = 1
% 0.82/1.40 usefactor = 1
% 0.82/1.40 usesimpsplitting = 0
% 0.82/1.40 usesimpdemod = 5
% 0.82/1.40 usesimpres = 3
% 0.82/1.40
% 0.82/1.40 resimpinuse = 1000
% 0.82/1.40 resimpclauses = 20000
% 0.82/1.40 substype = eqrewr
% 0.82/1.40 backwardsubs = 1
% 0.82/1.40 selectoldest = 5
% 0.82/1.40
% 0.82/1.40 litorderings [0] = split
% 0.82/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.40
% 0.82/1.40 termordering = kbo
% 0.82/1.40
% 0.82/1.40 litapriori = 0
% 0.82/1.40 termapriori = 1
% 0.82/1.40 litaposteriori = 0
% 0.82/1.40 termaposteriori = 0
% 0.82/1.40 demodaposteriori = 0
% 0.82/1.40 ordereqreflfact = 0
% 0.82/1.40
% 0.82/1.40 litselect = negord
% 0.82/1.40
% 0.82/1.40 maxweight = 15
% 0.82/1.40 maxdepth = 30000
% 0.82/1.40 maxlength = 115
% 0.82/1.40 maxnrvars = 195
% 0.82/1.40 excuselevel = 1
% 0.82/1.40 increasemaxweight = 1
% 0.82/1.40
% 0.82/1.40 maxselected = 10000000
% 0.82/1.40 maxnrclauses = 10000000
% 0.82/1.40
% 0.82/1.40 showgenerated = 0
% 0.82/1.40 showkept = 0
% 0.82/1.40 showselected = 0
% 0.82/1.40 showdeleted = 0
% 0.82/1.40 showresimp = 1
% 0.82/1.40 showstatus = 2000
% 0.82/1.40
% 0.82/1.40 prologoutput = 0
% 0.82/1.40 nrgoals = 5000000
% 0.82/1.40 totalproof = 1
% 0.82/1.40
% 0.82/1.40 Symbols occurring in the translation:
% 0.82/1.40
% 0.82/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.40 . [1, 2] (w:1, o:808, a:1, s:1, b:0),
% 0.82/1.40 ! [4, 1] (w:0, o:784, a:1, s:1, b:0),
% 0.82/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.40 vd1289 [35, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.82/1.40 vd1302 [36, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.82/1.40 vd1288 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.82/1.40 vangle [38, 3] (w:1, o:864, a:1, s:1, b:0),
% 0.82/1.40 vd1329 [39, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.82/1.40 vf [40, 2] (w:1, o:832, a:1, s:1, b:0),
% 0.82/1.40 vd1287 [41, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.82/1.40 rR [42, 3] (w:1, o:865, a:1, s:1, b:0),
% 0.82/1.40 ron [50, 2] (w:1, o:833, a:1, s:1, b:0),
% 0.82/1.40 rline [52, 1] (w:1, o:789, a:1, s:1, b:0),
% 0.82/1.40 rpoint [55, 1] (w:1, o:790, a:1, s:1, b:0),
% 0.82/1.40 vd1299 [60, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.82/1.40 vd1300 [61, 0] (w:1, o:550, a:1, s:1, b:0),
% 0.82/1.40 vd1303 [62, 0] (w:1, o:551, a:1, s:1, b:0),
% 0.82/1.40 vd1295 [93, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.82/1.40 rless [94, 2] (w:1, o:834, a:1, s:1, b:0),
% 0.82/1.40 vplus [95, 2] (w:1, o:835, a:1, s:1, b:0),
% 0.82/1.40 vskolem1306 [96, 0] (w:1, o:693, a:1, s:1, b:0),
% 0.82/1.40 vd1297 [97, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.82/1.40 vperp [108, 0] (w:1, o:694, a:1, s:1, b:0),
% 0.82/1.40 vskolem1120 [117, 8] (w:1, o:930, a:1, s:1, b:0),
% 0.82/1.40 vskolem1078 [132, 4] (w:1, o:897, a:1, s:1, b:0),
% 0.82/1.40 rS [145, 3] (w:1, o:866, a:1, s:1, b:0),
% 0.82/1.40 v0 [154, 0] (w:1, o:695, a:1, s:1, b:0),
% 0.82/1.40 rreal [164, 1] (w:1, o:791, a:1, s:1, b:0),
% 0.82/1.40 vskolem1052 [190, 4] (w:1, o:898, a:1, s:1, b:0),
% 0.82/1.40 rcenter [195, 2] (w:1, o:836, a:1, s:1, b:0),
% 0.82/1.40 rinside [198, 2] (w:1, o:837, a:1, s:1, b:0),
% 0.82/1.40 rintersect [221, 2] (w:1, o:838, a:1, s:1, b:0),
% 0.82/1.40 rcircle [227, 1] (w:1, o:792, a:1, s:1, b:0),
% 0.82/1.40 vd684 [285, 0] (w:1, o:711, a:1, s:1, b:0),
% 0.82/1.40 vd14 [729, 0] (w:1, o:779, a:1, s:1, b:0),
% 0.82/1.40 vtriangle [734, 3] (w:1, o:867, a:1, s:1, b:0),
% 0.82/1.40 rtriangle [735, 1] (w:1, o:793, a:1, s:1, b:0),
% 0.82/1.40 vg [753, 3] (w:1, o:868, a:1, s:1, b:0),
% 0.82/1.40 rleq [758, 2] (w:1, o:839, a:1, s:1, b:0),
% 1.95/2.36 rgeq [821, 2] (w:1, o:840, a:1, s:1, b:0),
% 1.95/2.36 alpha1 [832, 3] (w:1, o:869, a:1, s:1, b:1),
% 1.95/2.36 alpha2 [833, 3] (w:1, o:876, a:1, s:1, b:1),
% 1.95/2.36 alpha3 [834, 3] (w:1, o:880, a:1, s:1, b:1),
% 1.95/2.36 alpha4 [835, 3] (w:1, o:881, a:1, s:1, b:1),
% 1.95/2.36 alpha5 [836, 3] (w:1, o:885, a:1, s:1, b:1),
% 1.95/2.36 alpha6 [837, 4] (w:1, o:899, a:1, s:1, b:1),
% 1.95/2.36 alpha7 [838, 4] (w:1, o:900, a:1, s:1, b:1),
% 1.95/2.36 alpha8 [839, 2] (w:1, o:841, a:1, s:1, b:1),
% 1.95/2.36 alpha9 [840, 2] (w:1, o:842, a:1, s:1, b:1),
% 1.95/2.36 alpha10 [841, 2] (w:1, o:843, a:1, s:1, b:1),
% 1.95/2.36 alpha11 [842, 4] (w:1, o:901, a:1, s:1, b:1),
% 1.95/2.36 alpha12 [843, 4] (w:1, o:902, a:1, s:1, b:1),
% 1.95/2.36 alpha13 [844, 4] (w:1, o:903, a:1, s:1, b:1),
% 1.95/2.36 alpha14 [845, 3] (w:1, o:870, a:1, s:1, b:1),
% 1.95/2.36 alpha15 [846, 3] (w:1, o:871, a:1, s:1, b:1),
% 1.95/2.36 alpha16 [847, 3] (w:1, o:872, a:1, s:1, b:1),
% 1.95/2.36 alpha17 [848, 3] (w:1, o:873, a:1, s:1, b:1),
% 1.95/2.36 alpha18 [849, 3] (w:1, o:874, a:1, s:1, b:1),
% 1.95/2.36 alpha19 [850, 3] (w:1, o:875, a:1, s:1, b:1),
% 1.95/2.36 alpha20 [851, 3] (w:1, o:877, a:1, s:1, b:1),
% 1.95/2.36 alpha21 [852, 3] (w:1, o:878, a:1, s:1, b:1),
% 1.95/2.36 alpha22 [853, 3] (w:1, o:879, a:1, s:1, b:1),
% 1.95/2.36 alpha23 [854, 1] (w:1, o:794, a:1, s:1, b:1),
% 1.95/2.36 alpha24 [855, 1] (w:1, o:795, a:1, s:1, b:1),
% 1.95/2.36 alpha25 [856, 4] (w:1, o:904, a:1, s:1, b:1),
% 1.95/2.36 alpha26 [857, 6] (w:1, o:919, a:1, s:1, b:1),
% 1.95/2.36 alpha27 [858, 4] (w:1, o:905, a:1, s:1, b:1),
% 1.95/2.36 alpha28 [859, 4] (w:1, o:906, a:1, s:1, b:1),
% 1.95/2.36 alpha29 [860, 4] (w:1, o:907, a:1, s:1, b:1),
% 1.95/2.36 alpha30 [861, 1] (w:1, o:796, a:1, s:1, b:1),
% 1.95/2.36 alpha31 [862, 4] (w:1, o:908, a:1, s:1, b:1),
% 1.95/2.36 alpha32 [863, 7] (w:1, o:925, a:1, s:1, b:1),
% 1.95/2.36 alpha33 [864, 6] (w:1, o:920, a:1, s:1, b:1),
% 1.95/2.36 alpha34 [865, 4] (w:1, o:909, a:1, s:1, b:1),
% 1.95/2.36 alpha35 [866, 1] (w:1, o:797, a:1, s:1, b:1),
% 1.95/2.36 alpha36 [867, 4] (w:1, o:910, a:1, s:1, b:1),
% 1.95/2.36 alpha37 [868, 10] (w:1, o:931, a:1, s:1, b:1),
% 1.95/2.36 alpha38 [869, 7] (w:1, o:926, a:1, s:1, b:1),
% 1.95/2.36 alpha39 [870, 6] (w:1, o:921, a:1, s:1, b:1),
% 1.95/2.36 alpha40 [871, 4] (w:1, o:911, a:1, s:1, b:1),
% 1.95/2.36 alpha41 [872, 3] (w:1, o:882, a:1, s:1, b:1),
% 1.95/2.36 alpha42 [873, 7] (w:1, o:927, a:1, s:1, b:1),
% 1.95/2.36 alpha43 [874, 6] (w:1, o:922, a:1, s:1, b:1),
% 1.95/2.36 alpha44 [875, 3] (w:1, o:883, a:1, s:1, b:1),
% 1.95/2.36 alpha45 [876, 6] (w:1, o:923, a:1, s:1, b:1),
% 1.95/2.36 alpha46 [877, 3] (w:1, o:884, a:1, s:1, b:1),
% 1.95/2.36 skol1 [878, 0] (w:1, o:781, a:1, s:1, b:1),
% 1.95/2.36 skol2 [879, 3] (w:1, o:886, a:1, s:1, b:1),
% 1.95/2.36 skol3 [880, 3] (w:1, o:889, a:1, s:1, b:1),
% 1.95/2.36 skol4 [881, 3] (w:1, o:894, a:1, s:1, b:1),
% 1.95/2.36 skol5 [882, 2] (w:1, o:846, a:1, s:1, b:1),
% 1.95/2.36 skol6 [883, 2] (w:1, o:849, a:1, s:1, b:1),
% 1.95/2.36 skol7 [884, 2] (w:1, o:850, a:1, s:1, b:1),
% 1.95/2.36 skol8 [885, 4] (w:1, o:912, a:1, s:1, b:1),
% 1.95/2.36 skol9 [886, 2] (w:1, o:851, a:1, s:1, b:1),
% 1.95/2.36 skol10 [887, 7] (w:1, o:928, a:1, s:1, b:1),
% 1.95/2.36 skol11 [888, 6] (w:1, o:924, a:1, s:1, b:1),
% 1.95/2.36 skol12 [889, 2] (w:1, o:852, a:1, s:1, b:1),
% 1.95/2.36 skol13 [890, 2] (w:1, o:853, a:1, s:1, b:1),
% 1.95/2.36 skol14 [891, 4] (w:1, o:913, a:1, s:1, b:1),
% 1.95/2.36 skol15 [892, 4] (w:1, o:914, a:1, s:1, b:1),
% 1.95/2.36 skol16 [893, 2] (w:1, o:854, a:1, s:1, b:1),
% 1.95/2.36 skol17 [894, 4] (w:1, o:915, a:1, s:1, b:1),
% 1.95/2.36 skol18 [895, 2] (w:1, o:855, a:1, s:1, b:1),
% 1.95/2.36 skol19 [896, 2] (w:1, o:856, a:1, s:1, b:1),
% 1.95/2.36 skol20 [897, 2] (w:1, o:857, a:1, s:1, b:1),
% 1.95/2.36 skol21 [898, 1] (w:1, o:798, a:1, s:1, b:1),
% 1.95/2.36 skol22 [899, 1] (w:1, o:799, a:1, s:1, b:1),
% 1.95/2.36 skol23 [900, 3] (w:1, o:887, a:1, s:1, b:1),
% 1.95/2.36 skol24 [901, 2] (w:1, o:858, a:1, s:1, b:1),
% 1.95/2.36 skol25 [902, 1] (w:1, o:800, a:1, s:1, b:1),
% 1.95/2.36 skol26 [903, 2] (w:1, o:859, a:1, s:1, b:1),
% 1.95/2.36 skol27 [904, 4] (w:1, o:916, a:1, s:1, b:1),
% 1.95/2.36 skol28 [905, 3] (w:1, o:888, a:1, s:1, b:1),
% 1.95/2.36 skol29 [906, 2] (w:1, o:860, a:1, s:1, b:1),
% 1.95/2.36 skol30 [907, 3] (w:1, o:890, a:1, s:1, b:1),
% 1.95/2.36 skol31 [908, 2] (w:1, o:861, a:1, s:1, b:1),
% 1.95/2.36 skol32 [909, 4] (w:1, o:917, a:1, s:1, b:1),
% 1.95/2.36 skol33 [910, 3] (w:1, o:891, a:1, s:1, b:1),
% 1.95/2.36 skol34 [911, 2] (w:1, o:862, a:1, s:1, b:1),
% 1.95/2.36 skol35 [912, 3] (w:1, o:892, a:1, s:1, b:1),
% 1.95/2.36 skol36 [913, 3] (w:1, o:893, a:1, s:1, b:1),
% 1.95/2.36 skol37 [914, 2] (w:1, o:863, a:1, s:1, b:1),
% 1.95/2.36 skol38 [915, 1] (w:1, o:801, a:1, s:1, b:1),
% 1.95/2.36 skol39 [916, 4] (w:1, o:918, a:1, s:1, b:1),
% 1.95/2.36 skol40 [917, 3] (w:1, o:895, a:1, s:1, b:1),
% 1.95/2.36 skol41 [918, 2] (w:1, o:844, a:1, s:1, b:1),
% 1.95/2.36 skol42 [919, 1] (w:1, o:802, a:1, s:1, b:1),
% 1.95/2.36 skol43 [920, 1] (w:1, o:803, a:1, s:1, b:1),
% 1.95/2.36 skol44 [921, 1] (w:1, o:804, a:1, s:1, b:1),
% 1.95/2.36 skol45 [922, 1] (w:1, o:805, a:1, s:1, b:1),
% 1.95/2.36 skol46 [923, 2] (w:1, o:845, a:1, s:1, b:1),
% 1.95/2.36 skol47 [924, 1] (w:1, o:806, a:1, s:1, b:1),
% 1.95/2.36 skol48 [925, 3] (w:1, o:896, a:1, s:1, b:1),
% 1.95/2.36 skol49 [926, 0] (w:1, o:782, a:1, s:1, b:1),
% 1.95/2.36 skol50 [927, 2] (w:1, o:847, a:1, s:1, b:1),
% 1.95/2.36 skol51 [928, 7] (w:1, o:929, a:1, s:1, b:1),
% 1.95/2.36 skol52 [929, 1] (w:1, o:807, a:1, s:1, b:1),
% 1.95/2.36 skol53 [930, 2] (w:1, o:848, a:1, s:1, b:1),
% 1.95/2.36 skol54 [931, 0] (w:1, o:783, a:1, s:1, b:1).
% 1.95/2.36
% 1.95/2.36
% 1.95/2.36 Starting Search:
% 1.95/2.36
% 1.95/2.36 *** allocated 33750 integers for clauses
% 1.95/2.36 *** allocated 50625 integers for clauses
% 1.95/2.36 *** allocated 75937 integers for termspace/termends
% 1.95/2.36 *** allocated 113905 integers for termspace/termends
% 1.95/2.36 *** allocated 75937 integers for clauses
% 1.95/2.36 *** allocated 170857 integers for termspace/termends
% 1.95/2.36 *** allocated 113905 integers for clauses
% 1.95/2.36 matchinglists is full
% 1.95/2.36
% 1.95/2.36 Memory use:
% 1.95/2.36
% 1.95/2.36 space for terms: 122518
% 1.95/2.36 space for clauses: 84945
% 1.95/2.36
% 1.95/2.36
% 1.95/2.36 clauses generated: 63874
% 1.95/2.36 clauses kept: 1649
% 1.95/2.36 clauses selected: 0
% 1.95/2.36 clauses deleted: 0
% 1.95/2.36 clauses inuse deleted: 0
% 1.95/2.36
% 1.95/2.36 subsentry: 34946
% 1.95/2.36 literals s-matched: 22218
% 1.95/2.36 literals matched: 18688
% 1.95/2.36 full subsumption: 18537
% 1.95/2.36
% 1.95/2.36 checksum: -158054717
% 1.95/2.36
% 1.95/2.36
% 1.95/2.36 Bliksem ended
%------------------------------------------------------------------------------