TSTP Solution File: GEO340+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO340+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 02:53:47 EDT 2022
% Result : Unknown 1.95s 2.37s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO340+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sat Jun 18 16:07:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.81/1.44 *** allocated 10000 integers for termspace/termends
% 0.81/1.44 *** allocated 10000 integers for clauses
% 0.81/1.44 *** allocated 10000 integers for justifications
% 0.81/1.44 Bliksem 1.12
% 0.81/1.44
% 0.81/1.44
% 0.81/1.44 Automatic Strategy Selection
% 0.81/1.44
% 0.81/1.44 *** allocated 15000 integers for termspace/termends
% 0.81/1.44 *** allocated 22500 integers for termspace/termends
% 0.81/1.44 *** allocated 33750 integers for termspace/termends
% 0.81/1.44 *** allocated 50625 integers for termspace/termends
% 0.81/1.44
% 0.81/1.44 Clauses:
% 0.81/1.44
% 0.81/1.44 { ! skol1 = vd1386 }.
% 0.81/1.44 { vf( vd1385, vd1386 ) = vf( vd1385, skol1 ) }.
% 0.81/1.44 { vf( vd1384, vd1386 ) = vf( vd1384, skol1 ) }.
% 0.81/1.44 { rS( vd1386, skol1, vd1391 ) }.
% 0.81/1.44 { rpoint( skol1 ) }.
% 0.81/1.44 { vd1391 = vd1392 }.
% 0.81/1.44 { ron( vd1385, vd1391 ) }.
% 0.81/1.44 { ron( vd1384, vd1391 ) }.
% 0.81/1.44 { rline( vd1392 ) }.
% 0.81/1.44 { ! vd1385 = vd1386 }.
% 0.81/1.44 { ! vd1384 = vd1386 }.
% 0.81/1.44 { ! vd1384 = vd1385 }.
% 0.81/1.44 { vd1386 = skol2 }.
% 0.81/1.44 { rpoint( skol2 ) }.
% 0.81/1.44 { vd1385 = skol50 }.
% 0.81/1.44 { rpoint( skol50 ) }.
% 0.81/1.44 { vd1384 = skol55 }.
% 0.81/1.44 { rpoint( skol55 ) }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), ! V3 = vskolem1416( V2, X, Y, Z, T, U ),
% 0.81/1.44 ! V4 = vskolem1419( V3, V2, X, Y, Z, T, U ) }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), ! V3 = vskolem1416( V2, X, Y, Z, T, U ),
% 0.81/1.44 ! ron( V2, V4 ), ! ron( Z, V4 ), ! rline( V4 ), V4 = vskolem1419( V3, V2
% 0.81/1.44 , X, Y, Z, T, U ) }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), ! V3 = vskolem1416( V2, X, Y, Z, T, U ),
% 0.81/1.44 ron( V2, vskolem1419( V3, V2, X, Y, Z, T, U ) ) }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), ! V3 = vskolem1416( V2, X, Y, Z, T, U ),
% 0.81/1.44 ron( Z, vskolem1419( V3, V2, X, Y, Z, T, U ) ) }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), ! V3 = vskolem1416( V2, X, Y, Z, T, U ),
% 0.81/1.44 rline( vskolem1419( V3, V2, X, Y, Z, T, U ) ) }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), ! ron( X, V3 ), ! ron( Z, V3 ), ! rline(
% 0.81/1.44 V3 ), V3 = vskolem1416( V2, X, Y, Z, T, U ) }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), ron( X, vskolem1416( V2, X, Y, Z, T, U )
% 0.81/1.44 ) }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), ron( Z, vskolem1416( V2, X, Y, Z, T, U )
% 0.81/1.44 ) }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), rline( vskolem1416( V2, X, Y, Z, T, U ) )
% 0.81/1.44 }.
% 0.81/1.44 { ! T = U, ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z, X = Z, X = Y
% 0.81/1.44 , ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint(
% 0.81/1.44 V1 ), V2 = Z, ! vf( Y, Z ) = vf( Y, V2 ), ! vf( X, Z ) = vf( X, V2 ), !
% 0.81/1.44 rS( Z, V2, T ), ! rpoint( V2 ), vangle( X, Z, V2 ) = vangle( X, V2, Z ) }
% 0.81/1.44 .
% 0.81/1.44 { ! vangle( X, Y, Z ) = vangle( X, Z, Y ), Y = Z, X = Z, X = Y, ! Z = T, !
% 0.81/1.44 rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), vf( X, Y ) =
% 0.81/1.44 vf( X, Z ) }.
% 0.81/1.44 { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.81/1.44 Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V2, ! V1 = V3, ! rR
% 0.81/1.44 ( Z, X, V1 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V2 ), vangle( Z
% 0.81/1.44 , Y, V0 ) = vangle( Y, Z, V1 ) }.
% 0.81/1.44 { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.81/1.44 Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V1, ! V2 = V3, ! rR
% 0.81/1.44 ( Z, X, V2 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V1 ), vangle( X
% 0.81/1.44 , Y, Z ) = vangle( X, Z, Y ) }.
% 0.81/1.44 { rline( skol3( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.81/1.44 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint(
% 0.81/1.44 V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.81/1.44 = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, !
% 0.81/1.44 rpoint( V8 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.81/1.44 { ron( T, skol3( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.81/1.44 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint(
% 0.81/1.44 V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.81/1.44 = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, !
% 0.81/1.44 rpoint( V7 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.81/1.44 { alpha1( U, W, skol3( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.81/1.44 , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.81/1.44 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z,
% 0.81/1.44 X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X =
% 0.81/1.44 V5, ! rpoint( V5 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.81/1.44 { ! alpha1( X, Y, Z ), ron( Y, Z ) }.
% 0.81/1.44 { ! alpha1( X, Y, Z ), ron( X, Z ) }.
% 0.81/1.44 { ! ron( Y, Z ), ! ron( X, Z ), alpha1( X, Y, Z ) }.
% 0.81/1.44 { rline( skol4( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.81/1.44 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint(
% 0.81/1.44 V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.81/1.44 = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, !
% 0.81/1.44 rpoint( V8 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.81/1.44 { ron( T, skol4( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), !
% 0.81/1.44 vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint(
% 0.81/1.44 V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.81/1.44 = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, !
% 0.81/1.44 rpoint( V7 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.81/1.44 { alpha2( U, W, skol4( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.81/1.44 , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.81/1.44 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z,
% 0.81/1.44 X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X =
% 0.81/1.44 V5, ! rpoint( V5 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.81/1.44 { ! alpha2( X, Y, Z ), ron( Y, Z ) }.
% 0.81/1.44 { ! alpha2( X, Y, Z ), ron( X, Z ) }.
% 0.81/1.44 { ! ron( Y, Z ), ! ron( X, Z ), alpha2( X, Y, Z ) }.
% 0.81/1.44 { rline( skol5( W, V0, V1 ) ), ! vangle( X, V2, Y ) = vangle( Z, U, T ), !
% 0.81/1.44 vf( V2, Y ) = vf( U, T ), ! vf( V2, X ) = vf( U, Z ), ! T = V3, ! rpoint
% 0.81/1.44 ( V3 ), ! Z = V4, ! rpoint( V4 ), ! U = V5, ! rpoint( V5 ), X = Y, V2 = Y
% 0.81/1.44 , V2 = X, ! Y = V6, ! rpoint( V6 ), ! X = V7, ! rpoint( V7 ), ! V2 = V8,
% 0.81/1.44 ! rpoint( V8 ), vf( X, Y ) = vf( Z, T ) }.
% 0.81/1.44 { ron( U, skol5( W, V0, U ) ), ! vangle( X, V1, Y ) = vangle( Z, U, T ), !
% 0.81/1.44 vf( V1, Y ) = vf( U, T ), ! vf( V1, X ) = vf( U, Z ), ! T = V2, ! rpoint
% 0.81/1.44 ( V2 ), ! Z = V3, ! rpoint( V3 ), ! U = V4, ! rpoint( V4 ), X = Y, V1 = Y
% 0.81/1.44 , V1 = X, ! Y = V5, ! rpoint( V5 ), ! X = V6, ! rpoint( V6 ), ! V1 = V7,
% 0.81/1.44 ! rpoint( V7 ), vf( X, Y ) = vf( Z, T ) }.
% 0.81/1.44 { alpha3( Z, T, skol5( Z, T, U ) ), ! vangle( X, W, Y ) = vangle( Z, U, T )
% 0.81/1.44 , ! vf( W, Y ) = vf( U, T ), ! vf( W, X ) = vf( U, Z ), ! T = V0, !
% 0.81/1.44 rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! U = V2, ! rpoint( V2 ), X = Y,
% 0.81/1.44 W = Y, W = X, ! Y = V3, ! rpoint( V3 ), ! X = V4, ! rpoint( V4 ), ! W =
% 0.81/1.44 V5, ! rpoint( V5 ), vf( X, Y ) = vf( Z, T ) }.
% 0.81/1.44 { ! alpha3( X, Y, Z ), ron( Y, Z ) }.
% 0.81/1.44 { ! alpha3( X, Y, Z ), ron( X, Z ) }.
% 0.81/1.44 { ! ron( Y, Z ), ! ron( X, Z ), alpha3( X, Y, Z ) }.
% 0.81/1.44 { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint(
% 0.81/1.44 V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint(
% 0.81/1.44 Y ), vf( X, vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) = vf( U, V0 ) }.
% 0.81/1.44 { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint(
% 0.81/1.44 V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint(
% 0.81/1.44 Y ), rR( vskolem1120( X, Y, Z, T, U, W, V0, V1 ), X, Z ) }.
% 0.81/1.44 { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint(
% 0.81/1.44 V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint(
% 0.81/1.44 Y ), rpoint( vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) }.
% 0.81/1.44 { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, !
% 0.81/1.44 rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 0.81/1.44 V1, ! rpoint( V1 ), X = Y }.
% 0.81/1.44 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U
% 0.81/1.44 = X, ! rpoint( W ), vf( X, Y ) = vf( U, vskolem1078( U, W, X, Y ) ) }.
% 0.81/1.44 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U
% 0.81/1.44 = X, ! rpoint( W ), rpoint( vskolem1078( U, W, X, Y ) ) }.
% 0.81/1.44 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.81/1.44 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.81/1.44 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.81/1.44 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.81/1.44 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 0.81/1.44 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.81/1.44 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.81/1.44 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.81/1.44 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus(
% 0.81/1.44 vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 0.81/1.44 { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.81/1.44 ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, !
% 0.81/1.44 rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.81/1.44 , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T,
% 0.81/1.44 W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 0.81/1.44 .
% 0.81/1.44 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol6( U, W
% 0.81/1.44 ) ) }.
% 0.81/1.44 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol6( U,
% 0.81/1.44 Y ) ) }.
% 0.81/1.44 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol6( X,
% 0.81/1.44 Y ) ) }.
% 0.81/1.44 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( Z, vskolem1052
% 0.81/1.44 ( X, Y, Z, T ) ) = vf( vskolem1052( X, Y, Z, T ), X ) }.
% 0.81/1.44 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( X, Z ) = vf( Z
% 0.81/1.44 , vskolem1052( X, Y, Z, T ) ) }.
% 0.81/1.44 { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), rpoint(
% 0.81/1.44 vskolem1052( X, Y, Z, T ) ) }.
% 0.81/1.44 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 0.81/1.44 = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.81/1.44 ron( X, Y ) }.
% 0.81/1.44 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.81/1.44 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 0.81/1.44 ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 0.81/1.44 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.81/1.44 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.81/1.44 vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 0.81/1.44 { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z =
% 0.81/1.44 W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), !
% 0.81/1.44 vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 0.81/1.44 { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.81/1.44 rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 0.81/1.44 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 0.81/1.44 .
% 0.81/1.44 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 0.81/1.44 }.
% 0.81/1.44 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 0.81/1.44 }.
% 0.81/1.44 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol7( U, W ) ) }
% 0.81/1.44 .
% 0.81/1.44 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol7( X, Y
% 0.81/1.44 ) }.
% 0.81/1.44 { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 0.81/1.44 { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W,
% 0.81/1.44 ! rpoint( W ), ! ron( X, Y ) }.
% 0.81/1.44 { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W,
% 0.81/1.44 ! rpoint( W ), rS( Y, X, Z ) }.
% 0.81/1.44 { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, !
% 0.81/1.44 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 0.81/1.44 , Z ) }.
% 0.81/1.44 { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 0.81/1.44 = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ),
% 0.81/1.44 ron( X, Y ) }.
% 0.81/1.44 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.81/1.44 , ! rpoint( W ), alpha4( X, Y, Z ) }.
% 0.81/1.44 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.81/1.44 , ! rpoint( W ), rR( Y, Z, X ) }.
% 0.81/1.44 { ! alpha4( X, Y, Z ), ! rR( X, Y, Z ) }.
% 0.81/1.44 { ! alpha4( X, Y, Z ), ! X = Z }.
% 0.81/1.44 { ! alpha4( X, Y, Z ), ! X = Y }.
% 0.81/1.44 { rR( X, Y, Z ), X = Z, X = Y, alpha4( X, Y, Z ) }.
% 0.81/1.44 { ! V4 = V5, alpha31( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 0.81/1.44 ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 0.81/1.44 , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 0.81/1.44 rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 0.81/1.44 T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, !
% 0.81/1.44 rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ),
% 0.81/1.44 ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 =
% 0.81/1.44 V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), !
% 0.81/1.44 V6 = V27, ! rpoint( V27 ), alpha36( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.81/1.44 .
% 0.81/1.44 { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 0.81/1.44 ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 0.81/1.44 ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 0.81/1.44 , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 0.81/1.44 ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, !
% 0.81/1.44 rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), !
% 0.81/1.44 V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, !
% 0.81/1.44 rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), !
% 0.81/1.44 V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha36( X, Y, Z
% 0.81/1.44 , T, U, W, V0, V1, V2, V3 ) }.
% 0.81/1.44 { ! alpha36( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) =
% 0.81/1.44 vangle( V1, V2, V3 ) }.
% 0.81/1.44 { ! alpha36( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 0.81/1.44 .
% 0.81/1.44 { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ),
% 0.81/1.44 alpha36( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.81/1.44 { ! alpha31( X, Y, Z, T, U, W, V0 ), rS( skol8( X, V1, V2, V3, V4, V5, V0 )
% 0.81/1.44 , V0, X ) }.
% 0.81/1.44 { ! alpha31( X, Y, Z, T, U, W, V0 ), alpha5( X, U, W, skol51( X, V1, V2, V3
% 0.81/1.44 , U, W, V4 ) ) }.
% 0.81/1.44 { ! alpha31( X, Y, Z, T, U, W, V0 ), alpha25( Y, Z, T, U, skol8( X, Y, Z, T
% 0.81/1.44 , U, W, V0 ), skol51( X, Y, Z, T, U, W, V0 ) ) }.
% 0.81/1.44 { ! rS( V1, V0, X ), ! alpha5( X, U, W, V2 ), ! alpha25( Y, Z, T, U, V1, V2
% 0.81/1.44 ), alpha31( X, Y, Z, T, U, W, V0 ) }.
% 0.81/1.44 { ! alpha25( X, Y, Z, T, U, W ), rpoint( skol9( V0, V1, V2, V3, V4, V5 ) )
% 0.81/1.44 }.
% 0.81/1.44 { ! alpha25( X, Y, Z, T, U, W ), alpha37( X, Y, Z, T, U, W, skol9( X, Y, Z
% 0.81/1.44 , T, U, W ) ) }.
% 0.81/1.44 { ! alpha37( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha25( X, Y, Z, T, U
% 0.81/1.44 , W ) }.
% 0.81/1.44 { ! alpha37( X, Y, Z, T, U, W, V0 ), alpha42( X, Y, Z, T, U, W, V0 ) }.
% 0.81/1.44 { ! alpha37( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 0.81/1.44 { ! alpha42( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha37( X, Y, Z, T, U
% 0.81/1.44 , W, V0 ) }.
% 0.81/1.44 { ! alpha42( X, Y, Z, T, U, W, V0 ), alpha32( X, Y, Z, U, W, V0 ) }.
% 0.81/1.44 { ! alpha42( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 0.81/1.44 { ! alpha42( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 0.81/1.44 { ! alpha32( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha42( X, Y, Z
% 0.81/1.44 , T, U, W, V0 ) }.
% 0.81/1.44 { ! alpha32( X, Y, Z, T, U, W ), alpha38( X, Y, Z, T, U, W ) }.
% 0.81/1.44 { ! alpha32( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 0.81/1.44 { ! alpha38( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ),
% 0.81/1.44 alpha32( X, Y, Z, T, U, W ) }.
% 0.81/1.44 { ! alpha38( X, Y, Z, T, U, W ), alpha43( X, Y, Z, T, U, W ) }.
% 0.81/1.44 { ! alpha38( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 0.81/1.44 { ! alpha43( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ),
% 0.81/1.44 alpha38( X, Y, Z, T, U, W ) }.
% 0.81/1.44 { ! alpha43( X, Y, Z, T, U, W ), alpha45( X, Y, Z, T, U, W ) }.
% 0.81/1.44 { ! alpha43( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 0.81/1.44 { ! alpha45( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ),
% 0.81/1.44 alpha43( X, Y, Z, T, U, W ) }.
% 0.81/1.44 { ! alpha45( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 0.81/1.44 { ! alpha45( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 0.81/1.44 { ! alpha45( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 0.81/1.44 { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf(
% 0.81/1.44 W, U ), alpha45( X, Y, Z, T, U, W ) }.
% 0.81/1.44 { ! alpha5( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 0.81/1.44 { ! alpha5( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.44 { rR( Y, T, Z ), ! ron( T, X ), alpha5( X, Y, Z, T ) }.
% 0.81/1.44 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.81/1.44 rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 0.81/1.44 { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, !
% 0.81/1.44 rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 0.81/1.44 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.81/1.44 rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 0.81/1.44 { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, !
% 0.81/1.44 rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 0.81/1.44 { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 0.81/1.44 , X ), X = Y }.
% 0.81/1.44 { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 0.81/1.44 U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 0.81/1.44 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 0.81/1.44 , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.81/1.44 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.81/1.44 { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 0.81/1.44 ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, !
% 0.81/1.44 rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.81/1.44 { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 0.81/1.44 , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X =
% 0.81/1.44 V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 0.81/1.44 { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 0.81/1.44 ( X, Y ) }.
% 0.81/1.44 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.44 alpha26( X, Y, skol10( X, Y ), skol52( X, Y ) ) }.
% 0.81/1.44 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.44 rpoint( skol10( X, Y ) ) }.
% 0.81/1.44 { ! alpha26( X, Y, Z, T ), alpha33( X, Y, Z, T ) }.
% 0.81/1.44 { ! alpha26( X, Y, Z, T ), ron( Z, X ) }.
% 0.81/1.44 { ! alpha33( X, Y, Z, T ), ! ron( Z, X ), alpha26( X, Y, Z, T ) }.
% 0.81/1.44 { ! alpha33( X, Y, Z, T ), alpha39( X, Y, Z, T ) }.
% 0.81/1.44 { ! alpha33( X, Y, Z, T ), ron( Z, Y ) }.
% 0.81/1.44 { ! alpha39( X, Y, Z, T ), ! ron( Z, Y ), alpha33( X, Y, Z, T ) }.
% 0.81/1.44 { ! alpha39( X, Y, Z, T ), alpha6( Y, Z, T ) }.
% 0.81/1.44 { ! alpha39( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.44 { ! alpha39( X, Y, Z, T ), rpoint( T ) }.
% 0.81/1.44 { ! alpha6( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha39( X, Y, Z, T )
% 0.81/1.44 }.
% 0.81/1.44 { ! alpha6( X, Y, Z ), ! Y = Z }.
% 0.81/1.44 { ! alpha6( X, Y, Z ), ron( Z, X ) }.
% 0.81/1.44 { Y = Z, ! ron( Z, X ), alpha6( X, Y, Z ) }.
% 0.81/1.44 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.81/1.44 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.81/1.44 ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol11( V2, V3, V4, V5 ) ) }.
% 0.81/1.44 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.81/1.44 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.81/1.44 ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol11( V2, Y, V3, V4 ), Y ) }.
% 0.81/1.44 { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), !
% 0.81/1.44 ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.81/1.44 ( V0 ), ! X = V1, ! rcircle( V1 ), alpha7( X, Z, T, skol11( X, Y, Z, T )
% 0.81/1.44 ) }.
% 0.81/1.44 { ! alpha7( X, Y, Z, T ), rR( T, Y, Z ) }.
% 0.81/1.44 { ! alpha7( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.44 { ! rR( T, Y, Z ), ! ron( T, X ), alpha7( X, Y, Z, T ) }.
% 0.81/1.44 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol12( U
% 0.81/1.44 , W ) ) }.
% 0.81/1.44 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol12( U
% 0.81/1.44 , Y ) ) }.
% 0.81/1.44 { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol12
% 0.81/1.44 ( X, Y ) ) }.
% 0.81/1.44 { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ),
% 0.81/1.44 ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1,
% 0.81/1.44 ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T =
% 0.81/1.44 V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 0.81/1.44 X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 0.81/1.44 { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 0.81/1.44 ( U ), ! X = W, ! rreal( W ), X = Y }.
% 0.81/1.44 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 0.81/1.44 ) }.
% 0.81/1.44 { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 0.81/1.44 { v0 = vd684 }.
% 0.81/1.44 { rreal( vd684 ) }.
% 0.81/1.44 { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 0.81/1.44 ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 0.81/1.44 ) }.
% 0.81/1.44 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.44 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.44 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol13( V3, V4, V5, V6
% 0.81/1.44 ) ) }.
% 0.81/1.44 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.44 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.44 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol13( X, V3, V4, V5 ), X
% 0.81/1.44 ) }.
% 0.81/1.44 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.44 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.44 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha8( Y, Z, T, skol13( X, Y,
% 0.81/1.44 Z, T ) ) }.
% 0.81/1.44 { ! alpha8( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 0.81/1.44 { ! alpha8( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.44 { rS( T, Z, Y ), ! ron( T, X ), alpha8( X, Y, Z, T ) }.
% 0.81/1.44 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.81/1.44 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.81/1.44 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 0.81/1.44 , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 0.81/1.44 { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X
% 0.81/1.44 = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, !
% 0.81/1.44 rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 0.81/1.44 , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 0.81/1.44 { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.81/1.44 , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 0.81/1.44 { ! X = Y, ! rcircle( Y ), rpoint( skol14( Z ) ) }.
% 0.81/1.44 { ! X = Y, ! rcircle( Y ), ! rinside( skol14( X ), X ) }.
% 0.81/1.44 { ! X = Y, ! rcircle( Y ), ! ron( skol14( X ), X ) }.
% 0.81/1.44 { ! rcenter( X, Y ), rcircle( skol15( Z, T ) ) }.
% 0.81/1.44 { ! rcenter( X, Y ), Y = skol15( Z, Y ) }.
% 0.81/1.44 { ! rcenter( X, Y ), alpha9( X ) }.
% 0.81/1.44 { ! alpha9( X ), rpoint( skol16( Y ) ) }.
% 0.81/1.44 { ! alpha9( X ), X = skol16( X ) }.
% 0.81/1.44 { ! X = Y, ! rpoint( Y ), alpha9( X ) }.
% 0.81/1.44 { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 0.81/1.44 rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.81/1.44 { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 0.81/1.44 ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 0.81/1.44 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 0.81/1.44 ( Y, X ) }.
% 0.81/1.44 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol17( U, W ) ) }.
% 0.81/1.44 { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol17( X,
% 0.81/1.44 Y ) }.
% 0.81/1.44 { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, !
% 0.81/1.44 rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 0.81/1.44 { rS( Y, Z, skol18( Y, Z ) ), alpha10( X, Z ), ! ron( Y, X ), ! U = T, !
% 0.81/1.44 rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.81/1.44 , ! rpoint( V1 ), rintersect( skol53( X ), X ) }.
% 0.81/1.44 { rS( Y, Z, skol18( Y, Z ) ), alpha10( X, Z ), ! rinside( Y, X ), ! U = T,
% 0.81/1.44 ! rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y =
% 0.81/1.44 V1, ! rpoint( V1 ), rintersect( skol53( X ), X ) }.
% 0.81/1.44 { ! alpha10( X, Y ), ! ron( Y, X ) }.
% 0.81/1.44 { ! alpha10( X, Y ), ! rinside( Y, X ) }.
% 0.81/1.44 { ron( Y, X ), rinside( Y, X ), alpha10( X, Y ) }.
% 0.81/1.44 { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 0.81/1.44 ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ),
% 0.81/1.44 rintersect( X, Y ) }.
% 0.81/1.44 { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ),
% 0.81/1.44 ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 0.81/1.44 , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), !
% 0.81/1.44 rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, !
% 0.81/1.44 rcircle( V5 ), ! rS( X, Y, Z ) }.
% 0.81/1.44 { ! rR( T, Z, X ), rinside( T, Y ), alpha11( Y, Z ), ! Y = U, ! rcircle( U
% 0.81/1.44 ), ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint
% 0.81/1.44 ( V1 ), ! ron( X, Y ) }.
% 0.81/1.44 { ! rR( T, Z, X ), rinside( T, Y ), alpha11( Y, Z ), ! Y = U, ! rcircle( U
% 0.81/1.44 ), ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint
% 0.81/1.44 ( V1 ), ! ron( X, Y ) }.
% 0.81/1.44 { ! alpha11( X, Y ), ! ron( Y, X ) }.
% 0.81/1.44 { ! alpha11( X, Y ), ! rinside( Y, X ) }.
% 0.81/1.44 { ron( Y, X ), rinside( Y, X ), alpha11( X, Y ) }.
% 0.81/1.44 { ! rR( X, Z, T ), alpha12( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U )
% 0.81/1.44 , ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint(
% 0.81/1.44 V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.81/1.44 { ! rR( X, Z, T ), alpha12( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle(
% 0.81/1.44 U ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 0.81/1.44 ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.81/1.44 { ! alpha12( X, Y ), ! ron( Y, X ) }.
% 0.81/1.44 { ! alpha12( X, Y ), ! rinside( Y, X ) }.
% 0.81/1.44 { ron( Y, X ), rinside( Y, X ), alpha12( X, Y ) }.
% 0.81/1.44 { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), !
% 0.81/1.44 ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline(
% 0.81/1.44 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.81/1.44 rpoint( V3 ), rR( X, Y, Z ) }.
% 0.81/1.44 { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), !
% 0.81/1.44 ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 0.81/1.44 ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 0.81/1.44 V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline(
% 0.81/1.44 V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 0.81/1.44 { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 0.81/1.44 ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 0.81/1.44 W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 0.81/1.44 ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 0.81/1.44 ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 0.81/1.44 { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 0.81/1.44 , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 0.81/1.44 ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, !
% 0.81/1.44 rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 0.81/1.44 , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 0.81/1.44 { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 0.81/1.44 , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X
% 0.81/1.44 = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.81/1.44 rpoint( V3 ), rR( Y, X, Z ) }.
% 0.81/1.44 { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 0.81/1.44 W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 0.81/1.44 ( X, Y, Z ) }.
% 0.81/1.44 { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, !
% 0.81/1.44 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 0.81/1.44 , Z ) }.
% 0.81/1.44 { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 0.81/1.44 ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 0.81/1.44 ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 0.81/1.44 { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, !
% 0.81/1.44 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 0.81/1.44 , Z ) }.
% 0.81/1.44 { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 0.81/1.44 }.
% 0.81/1.44 { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.81/1.44 rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 0.81/1.44 , Y, Z ) }.
% 0.81/1.44 { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, !
% 0.81/1.44 rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 0.81/1.44 , Y ) }.
% 0.81/1.44 { ! rcenter( X, Y ), rinside( X, Y ) }.
% 0.81/1.44 { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 0.81/1.44 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.44 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.44 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol19( V3, V4, V5, V6
% 0.81/1.44 ) ) }.
% 0.81/1.44 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.44 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.44 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol19( X, V3, V4, V5 ), X
% 0.81/1.44 ) }.
% 0.81/1.44 { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter(
% 0.81/1.44 W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, !
% 0.81/1.44 rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha13( Y, Z, T, skol19( X, Y
% 0.81/1.44 , Z, T ) ) }.
% 0.81/1.44 { ! alpha13( X, Y, Z, T ), rS( T, Z, Y ) }.
% 0.81/1.44 { ! alpha13( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.44 { ! rS( T, Z, Y ), ! ron( T, X ), alpha13( X, Y, Z, T ) }.
% 0.81/1.44 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.44 rpoint( skol20( U, W ) ) }.
% 0.81/1.44 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.44 ron( skol20( U, Y ), Y ) }.
% 0.81/1.44 { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.44 ron( skol20( X, Y ), X ) }.
% 0.81/1.44 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.81/1.44 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.81/1.44 rcircle( V1 ), rpoint( skol21( V2, V3, V4, V5 ) ) }.
% 0.81/1.44 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.81/1.44 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.81/1.44 rcircle( V1 ), ron( skol21( X, V2, V3, V4 ), X ) }.
% 0.81/1.44 { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.81/1.44 , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, !
% 0.81/1.44 rcircle( V1 ), alpha14( Y, Z, T, skol21( X, Y, Z, T ) ) }.
% 0.81/1.44 { ! alpha14( X, Y, Z, T ), rR( Y, T, Z ) }.
% 0.81/1.44 { ! alpha14( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.44 { ! rR( Y, T, Z ), ! ron( T, X ), alpha14( X, Y, Z, T ) }.
% 0.81/1.44 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.44 alpha27( X, Y, skol22( X, Y ), skol54( X, Y ) ) }.
% 0.81/1.44 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.44 rpoint( skol22( X, Y ) ) }.
% 0.81/1.44 { ! alpha27( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.81/1.44 { ! alpha27( X, Y, Z, T ), ron( Z, Y ) }.
% 0.81/1.44 { ! alpha34( X, Y, Z, T ), ! ron( Z, Y ), alpha27( X, Y, Z, T ) }.
% 0.81/1.44 { ! alpha34( X, Y, Z, T ), alpha40( X, Y, Z, T ) }.
% 0.81/1.45 { ! alpha34( X, Y, Z, T ), ron( Z, X ) }.
% 0.81/1.45 { ! alpha40( X, Y, Z, T ), ! ron( Z, X ), alpha34( X, Y, Z, T ) }.
% 0.81/1.45 { ! alpha40( X, Y, Z, T ), alpha15( X, Z, T ) }.
% 0.81/1.45 { ! alpha40( X, Y, Z, T ), ron( T, Y ) }.
% 0.81/1.45 { ! alpha40( X, Y, Z, T ), rpoint( T ) }.
% 0.81/1.45 { ! alpha15( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha40( X, Y, Z, T )
% 0.81/1.45 }.
% 0.81/1.45 { ! alpha15( X, Y, Z ), ! Y = Z }.
% 0.81/1.45 { ! alpha15( X, Y, Z ), ron( Z, X ) }.
% 0.81/1.45 { Y = Z, ! ron( Z, X ), alpha15( X, Y, Z ) }.
% 0.81/1.45 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ),
% 0.81/1.45 rpoint( skol23( U, W ) ) }.
% 0.81/1.45 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.81/1.45 ( skol23( U, Y ), Y ) }.
% 0.81/1.45 { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.81/1.45 ( skol23( X, Y ), X ) }.
% 0.81/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ),
% 0.81/1.45 rpoint( skol24( U, W ) ) }.
% 0.81/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.81/1.45 skol24( U, Y ), Y ) }.
% 0.81/1.45 { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron(
% 0.81/1.45 skol24( X, Y ), X ) }.
% 0.81/1.45 { ! X = Y, ! rcircle( Y ), rpoint( skol25( Z ) ) }.
% 0.81/1.45 { ! X = Y, ! rcircle( Y ), rinside( skol25( X ), X ) }.
% 0.81/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.45 U ), ! X = W, ! rcircle( W ), rpoint( skol26( V0, V1, V2 ) ) }.
% 0.81/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.45 U ), ! X = W, ! rcircle( W ), ron( skol26( X, V0, V1 ), X ) }.
% 0.81/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.45 U ), ! X = W, ! rcircle( W ), alpha16( Y, Z, skol26( X, Y, Z ) ) }.
% 0.81/1.45 { ! alpha16( X, Y, Z ), ! Z = Y }.
% 0.81/1.45 { ! alpha16( X, Y, Z ), ! Z = X }.
% 0.81/1.45 { Z = Y, Z = X, alpha16( X, Y, Z ) }.
% 0.81/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint(
% 0.81/1.45 skol27( U, W ) ) }.
% 0.81/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol27
% 0.81/1.45 ( U, Y ) = Y }.
% 0.81/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron(
% 0.81/1.45 skol27( X, Y ), X ) }.
% 0.81/1.45 { ! X = Y, ! rcircle( Y ), rpoint( skol28( Z ) ) }.
% 0.81/1.45 { ! X = Y, ! rcircle( Y ), ron( skol28( X ), X ) }.
% 0.81/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.81/1.45 skol29( U, W ) ) }.
% 0.81/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol29
% 0.81/1.45 ( X, Y ), Y, X ) }.
% 0.81/1.45 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.81/1.45 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.81/1.45 rpoint( skol30( V2, V3, V4, V5 ) ) }.
% 0.81/1.45 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.81/1.45 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.81/1.45 rS( skol30( X, Y, V2, V3 ), Y, X ) }.
% 0.81/1.45 { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y,
% 0.81/1.45 X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ),
% 0.81/1.45 alpha28( Y, Z, T, skol30( X, Y, Z, T ) ) }.
% 0.81/1.45 { ! alpha28( X, Y, Z, T ), alpha17( Y, Z, T ) }.
% 0.81/1.45 { ! alpha28( X, Y, Z, T ), ! T = X }.
% 0.81/1.45 { ! alpha17( Y, Z, T ), T = X, alpha28( X, Y, Z, T ) }.
% 0.81/1.45 { ! alpha17( X, Y, Z ), ! Z = Y }.
% 0.81/1.45 { ! alpha17( X, Y, Z ), ! Z = X }.
% 0.81/1.45 { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 0.81/1.45 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.81/1.45 T ), ! X = W, ! rline( W ), rpoint( skol31( V0, V1, V2 ) ) }.
% 0.81/1.45 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.81/1.45 T ), ! X = W, ! rline( W ), alpha18( Y, Z, skol31( V0, Y, Z ) ) }.
% 0.81/1.45 { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint(
% 0.81/1.45 T ), ! X = W, ! rline( W ), rS( skol31( X, Y, Z ), Y, X ) }.
% 0.81/1.45 { ! alpha18( X, Y, Z ), ! Z = Y }.
% 0.81/1.45 { ! alpha18( X, Y, Z ), ! Z = X }.
% 0.81/1.45 { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 0.81/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.81/1.45 skol32( U, W ) ) }.
% 0.81/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol32( U,
% 0.81/1.45 Y ) = Y }.
% 0.81/1.45 { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol32( X
% 0.81/1.45 , Y ), Y, X ) }.
% 0.81/1.45 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.81/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.81/1.45 rpoint( skol33( V2, V3, V4 ) ) }.
% 0.81/1.45 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.81/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.81/1.45 ! skol33( V2, V3, Z ) = Z }.
% 0.81/1.45 { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), !
% 0.81/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ),
% 0.81/1.45 rR( Y, X, skol33( X, Y, Z ) ) }.
% 0.81/1.45 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.81/1.45 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol34( V0, V1 ) ) }.
% 0.81/1.45 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.81/1.45 rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol34( X, Y ) ) }.
% 0.81/1.45 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.81/1.45 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.81/1.45 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint(
% 0.81/1.45 skol35( V4, V5, V6, V7 ) ) }.
% 0.81/1.45 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.81/1.45 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.81/1.45 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha19
% 0.81/1.45 ( Z, T, skol35( V4, V5, Z, T ) ) }.
% 0.81/1.45 { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.81/1.45 , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, !
% 0.81/1.45 rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR(
% 0.81/1.45 skol35( X, Y, Z, T ), X, Y ) }.
% 0.81/1.45 { ! alpha19( X, Y, Z ), ! Z = Y }.
% 0.81/1.45 { ! alpha19( X, Y, Z ), ! Z = X }.
% 0.81/1.45 { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 0.81/1.45 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.81/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.81/1.45 rpoint( skol36( V2, V3, V4 ) ) }.
% 0.81/1.45 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.81/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.81/1.45 ! skol36( V2, V3, Z ) = Z }.
% 0.81/1.45 { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), !
% 0.81/1.45 Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ),
% 0.81/1.45 rR( skol36( X, Y, Z ), X, Y ) }.
% 0.81/1.45 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.81/1.45 rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol37( V0, V1 ) ) }.
% 0.81/1.45 { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, !
% 0.81/1.45 rpoint( U ), ! Z = W, ! rline( W ), rR( skol37( X, Y ), X, Y ) }.
% 0.81/1.45 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.81/1.45 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.81/1.45 rpoint( skol38( V2, V3, V4 ) ) }.
% 0.81/1.45 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.81/1.45 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.81/1.45 ron( skol38( X, V2, V3 ), X ) }.
% 0.81/1.45 { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z
% 0.81/1.45 = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ),
% 0.81/1.45 alpha20( Y, Z, skol38( X, Y, Z ) ) }.
% 0.81/1.45 { ! alpha20( X, Y, Z ), ! Z = Y }.
% 0.81/1.45 { ! alpha20( X, Y, Z ), ! Z = X }.
% 0.81/1.45 { Z = Y, Z = X, alpha20( X, Y, Z ) }.
% 0.81/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.45 U ), ! X = W, ! rline( W ), rpoint( skol39( V0, V1, V2 ) ) }.
% 0.81/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.45 U ), ! X = W, ! rline( W ), ron( skol39( X, V0, V1 ), X ) }.
% 0.81/1.45 { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint(
% 0.81/1.45 U ), ! X = W, ! rline( W ), alpha21( Y, Z, skol39( X, Y, Z ) ) }.
% 0.81/1.45 { ! alpha21( X, Y, Z ), ! Z = Y }.
% 0.81/1.45 { ! alpha21( X, Y, Z ), ! Z = X }.
% 0.81/1.45 { Z = Y, Z = X, alpha21( X, Y, Z ) }.
% 0.81/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint(
% 0.81/1.45 skol40( U, W ) ) }.
% 0.81/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol40( U
% 0.81/1.45 , Y ) = Y }.
% 0.81/1.45 { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol40
% 0.81/1.45 ( X, Y ), X ) }.
% 0.81/1.45 { ! X = Y, ! rline( Y ), rpoint( skol41( Z ) ) }.
% 0.81/1.45 { ! X = Y, ! rline( Y ), ron( skol41( X ), X ) }.
% 0.81/1.45 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.81/1.45 , ! X = V1, ! rpoint( V1 ), rpoint( skol42( V2, V3, V4, V5 ) ) }.
% 0.81/1.45 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.81/1.45 , ! X = V1, ! rpoint( V1 ), ! skol42( X, V2, V3, V4 ) = X }.
% 0.81/1.45 { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.81/1.45 , ! X = V1, ! rpoint( V1 ), alpha29( Y, Z, T, skol42( X, Y, Z, T ) ) }.
% 0.81/1.45 { ! alpha29( X, Y, Z, T ), alpha22( Y, Z, T ) }.
% 0.81/1.45 { ! alpha29( X, Y, Z, T ), ! T = X }.
% 0.81/1.45 { ! alpha22( Y, Z, T ), T = X, alpha29( X, Y, Z, T ) }.
% 0.81/1.45 { ! alpha22( X, Y, Z ), ! Z = Y }.
% 0.81/1.45 { ! alpha22( X, Y, Z ), ! Z = X }.
% 0.81/1.45 { Z = Y, Z = X, alpha22( X, Y, Z ) }.
% 0.81/1.45 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.45 rpoint( skol43( V0, V1, V2 ) ) }.
% 0.81/1.45 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 0.81/1.45 skol43( X, V0, V1 ) = X }.
% 0.81/1.45 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.45 alpha23( Y, Z, skol43( X, Y, Z ) ) }.
% 0.81/1.45 { ! alpha23( X, Y, Z ), ! Z = Y }.
% 0.81/1.45 { ! alpha23( X, Y, Z ), ! Z = X }.
% 0.81/1.45 { Z = Y, Z = X, alpha23( X, Y, Z ) }.
% 0.81/1.45 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol44( U, W ) )
% 0.81/1.46 }.
% 0.81/1.46 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol44( U, Y ) = Y }.
% 0.81/1.46 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol44( X, Y ) = X }.
% 0.81/1.46 { ! X = Y, ! rpoint( Y ), rpoint( skol45( Z ) ) }.
% 0.81/1.46 { ! X = Y, ! rpoint( Y ), ! skol45( X ) = X }.
% 0.81/1.46 { rpoint( vd14 ) }.
% 0.81/1.46 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha41( X, Y, Z ) }.
% 0.81/1.46 { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha35( X ) }.
% 0.81/1.46 { ! alpha41( X, Y, Z ), alpha44( X, Y, Z ) }.
% 0.81/1.46 { ! alpha41( X, Y, Z ), alpha30( Y ) }.
% 0.81/1.46 { ! alpha44( X, Y, Z ), ! alpha30( Y ), alpha41( X, Y, Z ) }.
% 0.81/1.46 { ! alpha44( X, Y, Z ), alpha46( X, Y, Z ) }.
% 0.81/1.46 { ! alpha44( X, Y, Z ), alpha24( Z ) }.
% 0.81/1.46 { ! alpha46( X, Y, Z ), ! alpha24( Z ), alpha44( X, Y, Z ) }.
% 0.81/1.46 { ! alpha46( X, Y, Z ), ! Y = Z }.
% 0.81/1.46 { ! alpha46( X, Y, Z ), ! X = Z }.
% 0.81/1.46 { ! alpha46( X, Y, Z ), ! X = Y }.
% 0.81/1.46 { Y = Z, X = Z, X = Y, alpha46( X, Y, Z ) }.
% 0.81/1.46 { ! alpha35( X ), rpoint( skol46( Y ) ) }.
% 0.81/1.46 { ! alpha35( X ), X = skol46( X ) }.
% 0.81/1.46 { ! X = Y, ! rpoint( Y ), alpha35( X ) }.
% 0.81/1.46 { ! alpha30( X ), rpoint( skol47( Y ) ) }.
% 0.81/1.46 { ! alpha30( X ), X = skol47( X ) }.
% 0.81/1.46 { ! X = Y, ! rpoint( Y ), alpha30( X ) }.
% 0.81/1.46 { ! alpha24( X ), rpoint( skol48( Y ) ) }.
% 0.81/1.46 { ! alpha24( X ), X = skol48( X ) }.
% 0.81/1.46 { ! X = Y, ! rpoint( Y ), alpha24( X ) }.
% 0.81/1.46 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.81/1.46 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 0.81/1.46 , Y, Z ) = v0, ron( Z, T ) }.
% 0.81/1.46 { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, !
% 0.81/1.46 rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 0.81/1.46 , T ), vg( X, Y, Z ) = v0 }.
% 0.81/1.46 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.81/1.46 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.81/1.46 rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T )
% 0.81/1.46 = vperp }.
% 0.81/1.46 { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint(
% 0.81/1.46 V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, !
% 0.81/1.46 rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 0.81/1.46 , Z, Y ) }.
% 0.81/1.46 { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 0.81/1.46 ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ),
% 0.81/1.46 X = Y }.
% 0.81/1.46 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 0.81/1.46 .
% 0.81/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.46 rreal( skol49( V0, V1, V2 ) ) }.
% 0.81/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.46 vg( X, Y, Z ) = skol49( X, Y, Z ) }.
% 0.81/1.46 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.81/1.46 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.81/1.46 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.81/1.46 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.81/1.46 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.81/1.46 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y,
% 0.81/1.46 Z ), rS( Y, X, T ) }.
% 0.81/1.46 { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp,
% 0.81/1.46 vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), !
% 0.81/1.46 ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, !
% 0.81/1.46 rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5,
% 0.81/1.46 ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U
% 0.81/1.46 = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 0.81/1.46 { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 0.81/1.46 , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W,
% 0.81/1.46 T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, !
% 0.81/1.46 rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z =
% 0.81/1.46 V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ),
% 0.81/1.46 vg( X, Y, Z ) = vg( T, U, W ) }.
% 0.81/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.46 vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 0.81/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.46 vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 0.81/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.46 rgeq( vg( X, Y, Z ), v0 ) }.
% 0.81/1.46 { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 0.81/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.46 rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 0.81/1.46 { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ),
% 0.81/1.46 rleq( v0, vangle( X, Y, Z ) ) }.
% 0.81/1.46
% 0.81/1.46 *** allocated 15000 integers for clauses
% 0.81/1.46 *** allocated 22500 integers for clauses
% 0.81/1.46 percentage equality = 0.407712, percentage horn = 0.691489
% 0.81/1.46 This is a problem with some equality
% 0.81/1.46
% 0.81/1.46
% 0.81/1.46
% 0.81/1.46 Options Used:
% 0.81/1.46
% 0.81/1.46 useres = 1
% 0.81/1.46 useparamod = 1
% 0.81/1.46 useeqrefl = 1
% 0.81/1.46 useeqfact = 1
% 0.81/1.46 usefactor = 1
% 0.81/1.46 usesimpsplitting = 0
% 0.81/1.46 usesimpdemod = 5
% 0.81/1.46 usesimpres = 3
% 0.81/1.46
% 0.81/1.46 resimpinuse = 1000
% 0.81/1.46 resimpclauses = 20000
% 0.81/1.46 substype = eqrewr
% 0.81/1.46 backwardsubs = 1
% 0.81/1.46 selectoldest = 5
% 0.81/1.46
% 0.81/1.46 litorderings [0] = split
% 0.81/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.46
% 0.81/1.46 termordering = kbo
% 0.81/1.46
% 0.81/1.46 litapriori = 0
% 0.81/1.46 termapriori = 1
% 0.81/1.46 litaposteriori = 0
% 0.81/1.46 termaposteriori = 0
% 0.81/1.46 demodaposteriori = 0
% 0.81/1.46 ordereqreflfact = 0
% 0.81/1.46
% 0.81/1.46 litselect = negord
% 0.81/1.46
% 0.81/1.46 maxweight = 15
% 0.81/1.46 maxdepth = 30000
% 0.81/1.46 maxlength = 115
% 0.81/1.46 maxnrvars = 195
% 0.81/1.46 excuselevel = 1
% 0.81/1.46 increasemaxweight = 1
% 0.81/1.46
% 0.81/1.46 maxselected = 10000000
% 0.81/1.46 maxnrclauses = 10000000
% 0.81/1.46
% 0.81/1.46 showgenerated = 0
% 0.81/1.46 showkept = 0
% 0.81/1.46 showselected = 0
% 0.81/1.46 showdeleted = 0
% 0.81/1.46 showresimp = 1
% 0.81/1.46 showstatus = 2000
% 0.81/1.46
% 0.81/1.46 prologoutput = 0
% 0.81/1.46 nrgoals = 5000000
% 0.81/1.46 totalproof = 1
% 0.81/1.46
% 0.81/1.46 Symbols occurring in the translation:
% 0.81/1.46
% 0.81/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.46 . [1, 2] (w:1, o:832, a:1, s:1, b:0),
% 0.81/1.46 ! [4, 1] (w:0, o:808, a:1, s:1, b:0),
% 0.81/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.46 vd1386 [36, 0] (w:1, o:103, a:1, s:1, b:0),
% 0.81/1.46 vd1385 [37, 0] (w:1, o:102, a:1, s:1, b:0),
% 0.81/1.46 vf [38, 2] (w:1, o:856, a:1, s:1, b:0),
% 0.81/1.46 vd1384 [39, 0] (w:1, o:101, a:1, s:1, b:0),
% 0.81/1.46 vd1391 [40, 0] (w:1, o:104, a:1, s:1, b:0),
% 0.81/1.46 rS [41, 3] (w:1, o:889, a:1, s:1, b:0),
% 0.81/1.46 rpoint [42, 1] (w:1, o:813, a:1, s:1, b:0),
% 0.81/1.46 vd1392 [43, 0] (w:1, o:105, a:1, s:1, b:0),
% 0.81/1.46 ron [44, 2] (w:1, o:857, a:1, s:1, b:0),
% 0.81/1.46 rline [45, 1] (w:1, o:814, a:1, s:1, b:0),
% 0.81/1.46 vskolem1416 [59, 6] (w:1, o:943, a:1, s:1, b:0),
% 0.81/1.46 vskolem1419 [61, 7] (w:1, o:950, a:1, s:1, b:0),
% 0.81/1.46 vangle [63, 3] (w:1, o:890, a:1, s:1, b:0),
% 0.81/1.46 rR [80, 3] (w:1, o:888, a:1, s:1, b:0),
% 0.81/1.46 rless [102, 2] (w:1, o:858, a:1, s:1, b:0),
% 0.81/1.46 vskolem1120 [103, 8] (w:1, o:956, a:1, s:1, b:0),
% 0.81/1.46 vskolem1078 [118, 4] (w:1, o:921, a:1, s:1, b:0),
% 0.81/1.46 vplus [131, 2] (w:1, o:859, a:1, s:1, b:0),
% 0.81/1.46 vskolem1052 [141, 4] (w:1, o:922, a:1, s:1, b:0),
% 0.81/1.46 v0 [158, 0] (w:1, o:673, a:1, s:1, b:0),
% 0.81/1.46 rreal [178, 1] (w:1, o:815, a:1, s:1, b:0),
% 0.81/1.46 rcenter [256, 2] (w:1, o:860, a:1, s:1, b:0),
% 0.81/1.46 rinside [259, 2] (w:1, o:861, a:1, s:1, b:0),
% 0.81/1.46 rintersect [276, 2] (w:1, o:862, a:1, s:1, b:0),
% 0.81/1.46 rcircle [282, 1] (w:1, o:816, a:1, s:1, b:0),
% 0.81/1.46 vd684 [344, 0] (w:1, o:789, a:1, s:1, b:0),
% 0.81/1.46 vg [373, 3] (w:1, o:891, a:1, s:1, b:0),
% 0.81/1.46 vd14 [758, 0] (w:1, o:801, a:1, s:1, b:0),
% 0.81/1.46 vtriangle [763, 3] (w:1, o:892, a:1, s:1, b:0),
% 0.81/1.46 rtriangle [764, 1] (w:1, o:817, a:1, s:1, b:0),
% 0.81/1.46 vperp [786, 0] (w:1, o:803, a:1, s:1, b:0),
% 0.81/1.46 rleq [798, 2] (w:1, o:863, a:1, s:1, b:0),
% 0.81/1.46 rgeq [846, 2] (w:1, o:864, a:1, s:1, b:0),
% 0.81/1.46 alpha1 [857, 3] (w:1, o:893, a:1, s:1, b:1),
% 0.81/1.46 alpha2 [858, 3] (w:1, o:899, a:1, s:1, b:1),
% 0.81/1.46 alpha3 [859, 3] (w:1, o:904, a:1, s:1, b:1),
% 0.81/1.46 alpha4 [860, 3] (w:1, o:905, a:1, s:1, b:1),
% 0.81/1.46 alpha5 [861, 4] (w:1, o:924, a:1, s:1, b:1),
% 0.81/1.46 alpha6 [862, 3] (w:1, o:906, a:1, s:1, b:1),
% 0.81/1.46 alpha7 [863, 4] (w:1, o:925, a:1, s:1, b:1),
% 0.81/1.46 alpha8 [864, 4] (w:1, o:926, a:1, s:1, b:1),
% 0.81/1.46 alpha9 [865, 1] (w:1, o:818, a:1, s:1, b:1),
% 0.81/1.46 alpha10 [866, 2] (w:1, o:865, a:1, s:1, b:1),
% 1.95/2.37 alpha11 [867, 2] (w:1, o:866, a:1, s:1, b:1),
% 1.95/2.37 alpha12 [868, 2] (w:1, o:867, a:1, s:1, b:1),
% 1.95/2.37 alpha13 [869, 4] (w:1, o:927, a:1, s:1, b:1),
% 1.95/2.37 alpha14 [870, 4] (w:1, o:928, a:1, s:1, b:1),
% 1.95/2.37 alpha15 [871, 3] (w:1, o:894, a:1, s:1, b:1),
% 1.95/2.37 alpha16 [872, 3] (w:1, o:895, a:1, s:1, b:1),
% 1.95/2.37 alpha17 [873, 3] (w:1, o:896, a:1, s:1, b:1),
% 1.95/2.37 alpha18 [874, 3] (w:1, o:897, a:1, s:1, b:1),
% 1.95/2.37 alpha19 [875, 3] (w:1, o:898, a:1, s:1, b:1),
% 1.95/2.37 alpha20 [876, 3] (w:1, o:900, a:1, s:1, b:1),
% 1.95/2.37 alpha21 [877, 3] (w:1, o:901, a:1, s:1, b:1),
% 1.95/2.37 alpha22 [878, 3] (w:1, o:902, a:1, s:1, b:1),
% 1.95/2.37 alpha23 [879, 3] (w:1, o:903, a:1, s:1, b:1),
% 1.95/2.37 alpha24 [880, 1] (w:1, o:819, a:1, s:1, b:1),
% 1.95/2.37 alpha25 [881, 6] (w:1, o:944, a:1, s:1, b:1),
% 1.95/2.37 alpha26 [882, 4] (w:1, o:929, a:1, s:1, b:1),
% 1.95/2.37 alpha27 [883, 4] (w:1, o:930, a:1, s:1, b:1),
% 1.95/2.37 alpha28 [884, 4] (w:1, o:931, a:1, s:1, b:1),
% 1.95/2.37 alpha29 [885, 4] (w:1, o:932, a:1, s:1, b:1),
% 1.95/2.37 alpha30 [886, 1] (w:1, o:820, a:1, s:1, b:1),
% 1.95/2.37 alpha31 [887, 7] (w:1, o:951, a:1, s:1, b:1),
% 1.95/2.37 alpha32 [888, 6] (w:1, o:945, a:1, s:1, b:1),
% 1.95/2.37 alpha33 [889, 4] (w:1, o:933, a:1, s:1, b:1),
% 1.95/2.37 alpha34 [890, 4] (w:1, o:934, a:1, s:1, b:1),
% 1.95/2.37 alpha35 [891, 1] (w:1, o:821, a:1, s:1, b:1),
% 1.95/2.37 alpha36 [892, 10] (w:1, o:957, a:1, s:1, b:1),
% 1.95/2.37 alpha37 [893, 7] (w:1, o:952, a:1, s:1, b:1),
% 1.95/2.37 alpha38 [894, 6] (w:1, o:946, a:1, s:1, b:1),
% 1.95/2.37 alpha39 [895, 4] (w:1, o:935, a:1, s:1, b:1),
% 1.95/2.37 alpha40 [896, 4] (w:1, o:923, a:1, s:1, b:1),
% 1.95/2.37 alpha41 [897, 3] (w:1, o:907, a:1, s:1, b:1),
% 1.95/2.37 alpha42 [898, 7] (w:1, o:953, a:1, s:1, b:1),
% 1.95/2.37 alpha43 [899, 6] (w:1, o:947, a:1, s:1, b:1),
% 1.95/2.37 alpha44 [900, 3] (w:1, o:908, a:1, s:1, b:1),
% 1.95/2.37 alpha45 [901, 6] (w:1, o:948, a:1, s:1, b:1),
% 1.95/2.37 alpha46 [902, 3] (w:1, o:909, a:1, s:1, b:1),
% 1.95/2.37 skol1 [903, 0] (w:1, o:804, a:1, s:1, b:1),
% 1.95/2.37 skol2 [904, 0] (w:1, o:805, a:1, s:1, b:1),
% 1.95/2.37 skol3 [905, 3] (w:1, o:911, a:1, s:1, b:1),
% 1.95/2.37 skol4 [906, 3] (w:1, o:917, a:1, s:1, b:1),
% 1.95/2.37 skol5 [907, 3] (w:1, o:920, a:1, s:1, b:1),
% 1.95/2.37 skol6 [908, 2] (w:1, o:870, a:1, s:1, b:1),
% 1.95/2.37 skol7 [909, 2] (w:1, o:871, a:1, s:1, b:1),
% 1.95/2.37 skol8 [910, 7] (w:1, o:954, a:1, s:1, b:1),
% 1.95/2.37 skol9 [911, 6] (w:1, o:949, a:1, s:1, b:1),
% 1.95/2.37 skol10 [912, 2] (w:1, o:872, a:1, s:1, b:1),
% 1.95/2.37 skol11 [913, 4] (w:1, o:936, a:1, s:1, b:1),
% 1.95/2.37 skol12 [914, 2] (w:1, o:873, a:1, s:1, b:1),
% 1.95/2.37 skol13 [915, 4] (w:1, o:937, a:1, s:1, b:1),
% 1.95/2.37 skol14 [916, 1] (w:1, o:822, a:1, s:1, b:1),
% 1.95/2.37 skol15 [917, 2] (w:1, o:874, a:1, s:1, b:1),
% 1.95/2.37 skol16 [918, 1] (w:1, o:823, a:1, s:1, b:1),
% 1.95/2.37 skol17 [919, 2] (w:1, o:875, a:1, s:1, b:1),
% 1.95/2.37 skol18 [920, 2] (w:1, o:876, a:1, s:1, b:1),
% 1.95/2.37 skol19 [921, 4] (w:1, o:938, a:1, s:1, b:1),
% 1.95/2.37 skol20 [922, 2] (w:1, o:877, a:1, s:1, b:1),
% 1.95/2.37 skol21 [923, 4] (w:1, o:939, a:1, s:1, b:1),
% 1.95/2.37 skol22 [924, 2] (w:1, o:878, a:1, s:1, b:1),
% 1.95/2.37 skol23 [925, 2] (w:1, o:879, a:1, s:1, b:1),
% 1.95/2.37 skol24 [926, 2] (w:1, o:880, a:1, s:1, b:1),
% 1.95/2.37 skol25 [927, 1] (w:1, o:824, a:1, s:1, b:1),
% 1.95/2.37 skol26 [928, 3] (w:1, o:910, a:1, s:1, b:1),
% 1.95/2.37 skol27 [929, 2] (w:1, o:881, a:1, s:1, b:1),
% 1.95/2.37 skol28 [930, 1] (w:1, o:825, a:1, s:1, b:1),
% 1.95/2.37 skol29 [931, 2] (w:1, o:882, a:1, s:1, b:1),
% 1.95/2.37 skol30 [932, 4] (w:1, o:940, a:1, s:1, b:1),
% 1.95/2.37 skol31 [933, 3] (w:1, o:912, a:1, s:1, b:1),
% 1.95/2.37 skol32 [934, 2] (w:1, o:883, a:1, s:1, b:1),
% 1.95/2.37 skol33 [935, 3] (w:1, o:913, a:1, s:1, b:1),
% 1.95/2.37 skol34 [936, 2] (w:1, o:884, a:1, s:1, b:1),
% 1.95/2.37 skol35 [937, 4] (w:1, o:941, a:1, s:1, b:1),
% 1.95/2.37 skol36 [938, 3] (w:1, o:914, a:1, s:1, b:1),
% 1.95/2.37 skol37 [939, 2] (w:1, o:885, a:1, s:1, b:1),
% 1.95/2.37 skol38 [940, 3] (w:1, o:915, a:1, s:1, b:1),
% 1.95/2.37 skol39 [941, 3] (w:1, o:916, a:1, s:1, b:1),
% 1.95/2.37 skol40 [942, 2] (w:1, o:886, a:1, s:1, b:1),
% 1.95/2.37 skol41 [943, 1] (w:1, o:826, a:1, s:1, b:1),
% 1.95/2.37 skol42 [944, 4] (w:1, o:942, a:1, s:1, b:1),
% 1.95/2.37 skol43 [945, 3] (w:1, o:918, a:1, s:1, b:1),
% 1.95/2.37 skol44 [946, 2] (w:1, o:887, a:1, s:1, b:1),
% 1.95/2.37 skol45 [947, 1] (w:1, o:827, a:1, s:1, b:1),
% 1.95/2.37 skol46 [948, 1] (w:1, o:828, a:1, s:1, b:1),
% 1.95/2.37 skol47 [949, 1] (w:1, o:829, a:1, s:1, b:1),
% 1.95/2.37 skol48 [950, 1] (w:1, o:830, a:1, s:1, b:1),
% 1.95/2.37 skol49 [951, 3] (w:1, o:919, a:1, s:1, b:1),
% 1.95/2.37 skol50 [952, 0] (w:1, o:806, a:1, s:1, b:1),
% 1.95/2.37 skol51 [953, 7] (w:1, o:955, a:1, s:1, b:1),
% 1.95/2.37 skol52 [954, 2] (w:1, o:868, a:1, s:1, b:1),
% 1.95/2.37 skol53 [955, 1] (w:1, o:831, a:1, s:1, b:1),
% 1.95/2.37 skol54 [956, 2] (w:1, o:869, a:1, s:1, b:1),
% 1.95/2.37 skol55 [957, 0] (w:1, o:807, a:1, s:1, b:1).
% 1.95/2.37
% 1.95/2.37
% 1.95/2.37 Starting Search:
% 1.95/2.37
% 1.95/2.37 *** allocated 33750 integers for clauses
% 1.95/2.37 *** allocated 75937 integers for termspace/termends
% 1.95/2.37 *** allocated 50625 integers for clauses
% 1.95/2.37 *** allocated 113905 integers for termspace/termends
% 1.95/2.37 *** allocated 75937 integers for clauses
% 1.95/2.37 *** allocated 170857 integers for termspace/termends
% 1.95/2.37 *** allocated 113905 integers for clauses
% 1.95/2.37 matchinglists is full
% 1.95/2.37
% 1.95/2.37 Memory use:
% 1.95/2.37
% 1.95/2.37 space for terms: 138319
% 1.95/2.37 space for clauses: 91022
% 1.95/2.37
% 1.95/2.37
% 1.95/2.37 clauses generated: 76383
% 1.95/2.37 clauses kept: 1723
% 1.95/2.37 clauses selected: 0
% 1.95/2.37 clauses deleted: 0
% 1.95/2.37 clauses inuse deleted: 0
% 1.95/2.37
% 1.95/2.37 subsentry: 35691
% 1.95/2.37 literals s-matched: 23224
% 1.95/2.37 literals matched: 19634
% 1.95/2.37 full subsumption: 19549
% 1.95/2.37
% 1.95/2.37 checksum: -434794456
% 1.95/2.37
% 1.95/2.37
% 1.95/2.37 Bliksem ended
%------------------------------------------------------------------------------