%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:40 EDT 2022
% Result : Theorem 107.31s 107.76s
% Output : Refutation 107.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% 0.02/0.09 % Command : bliksem %s
% 0.08/0.29 % Computer : n009.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % DateTime : Sat Jun 18 10:37:22 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.71/1.08 *** allocated 10000 integers for termspace/termends
% 0.71/1.08 *** allocated 10000 integers for clauses
% 0.71/1.08 *** allocated 10000 integers for justifications
% 0.71/1.08 Bliksem 1.12
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Automatic Strategy Selection
% 0.71/1.08
% 0.71/1.08 *** allocated 15000 integers for termspace/termends
% 0.71/1.08
% 0.71/1.08 Clauses:
% 0.71/1.08
% 0.71/1.08 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.71/1.08 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.71/1.08 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.71/1.08 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.71/1.08 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.71/1.08 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.08 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.71/1.08 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.71/1.08 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.08 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.71/1.08 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.71/1.08 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.71/1.08 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.71/1.08 ( X, Y, Z, T ) }.
% 0.71/1.08 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.71/1.08 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.71/1.08 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.71/1.08 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.71/1.08 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.71/1.08 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.08 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.71/1.08 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.71/1.08 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.71/1.08 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.71/1.08 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.08 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.08 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.08 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.08 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.71/1.08 ( X, Y, Z, T, U, W ) }.
% 0.71/1.08 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.08 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.08 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.08 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.71/1.08 ( X, Y, Z, T, U, W ) }.
% 0.71/1.08 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.71/1.08 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.71/1.08 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.71/1.08 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.71/1.08 T ) }.
% 0.71/1.08 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.71/1.08 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.71/1.08 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.71/1.08 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.71/1.08 ) }.
% 0.71/1.08 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.71/1.08 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.71/1.08 }.
% 0.71/1.08 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.71/1.08 Z, Y ) }.
% 0.71/1.08 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.71/1.08 X, Z ) }.
% 0.71/1.08 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.71/1.08 U ) }.
% 0.71/1.08 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.71/1.08 , Z ), midp( Z, X, Y ) }.
% 0.71/1.08 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.71/1.08 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.71/1.08 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.71/1.08 Z, Y ) }.
% 0.71/1.08 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.71/1.08 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.71/1.08 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.71/1.08 ( Y, X, X, Z ) }.
% 0.71/1.08 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.71/1.08 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.08 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.71/1.08 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.71/1.08 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.71/1.08 , W ) }.
% 0.71/1.08 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.71/1.08 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.71/1.08 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.71/1.08 , Y ) }.
% 0.71/1.08 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.71/1.08 , X, Z, U, Y, Y, T ) }.
% 0.71/1.08 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.71/1.08 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.71/1.08 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.71/1.08 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.71/1.08 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.71/1.08 .
% 0.71/1.08 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.71/1.08 ) }.
% 0.71/1.08 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.71/1.08 , Z, T ) }.
% 0.71/1.08 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.71/1.08 , Z, T ) }.
% 0.71/1.08 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.71/1.08 , Z, T ) }.
% 0.71/1.08 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.71/1.08 , W, Z, T ), Z, T ) }.
% 0.71/1.08 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.71/1.08 , Y, Z, T ), X, Y ) }.
% 0.71/1.08 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.71/1.08 , W, Z, T ), Z, T ) }.
% 0.71/1.08 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.08 skol2( X, Y, Z, T ) ) }.
% 0.71/1.08 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.71/1.08 , W, Z, T ), Z, T ) }.
% 0.71/1.08 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.08 skol3( X, Y, Z, T ) ) }.
% 0.71/1.08 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.71/1.08 , T ) }.
% 0.71/1.08 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.71/1.08 ) ) }.
% 0.71/1.08 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.71/1.08 skol5( W, Y, Z, T ) ) }.
% 0.71/1.08 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.71/1.08 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.71/1.08 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.71/1.08 , X, T ) }.
% 0.71/1.08 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.71/1.08 W, X, Z ) }.
% 0.71/1.08 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.71/1.08 , Y, T ) }.
% 0.71/1.08 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.71/1.08 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.71/1.08 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.08 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.71/1.08 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.08 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.71/1.08 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.71/1.08 Z, T ) ) }.
% 0.71/1.08 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.71/1.08 , T ) ) }.
% 0.71/1.08 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.71/1.08 , X, Y ) }.
% 0.71/1.08 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.71/1.08 ) }.
% 0.71/1.08 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.71/1.08 , Y ) }.
% 0.71/1.08 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.71/1.08 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.71/1.08 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.71/1.08 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.71/1.08 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 6.38/6.77 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.38/6.77 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 6.38/6.77 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.38/6.77 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 6.38/6.77 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.38/6.77 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 6.38/6.77 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 6.38/6.77 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 6.38/6.77 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 6.38/6.77 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 6.38/6.77 skol14( X, Y, Z ), X, Y, Z ) }.
% 6.38/6.77 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 6.38/6.77 X, Y, Z ) }.
% 6.38/6.77 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 6.38/6.77 }.
% 6.38/6.77 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 6.38/6.77 ) }.
% 6.38/6.77 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 6.38/6.77 skol17( X, Y ), X, Y ) }.
% 6.38/6.77 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 6.38/6.77 }.
% 6.38/6.77 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 6.38/6.77 ) }.
% 6.38/6.77 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 6.38/6.77 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 6.38/6.77 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 6.38/6.77 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 6.38/6.77 { perp( skol20, skol25, skol26, skol27 ) }.
% 6.38/6.77 { coll( skol20, skol26, skol27 ) }.
% 6.38/6.77 { midp( skol22, skol25, skol26 ) }.
% 6.38/6.77 { midp( skol23, skol27, skol26 ) }.
% 6.38/6.77 { midp( skol24, skol25, skol27 ) }.
% 6.38/6.77 { ! cyclic( skol22, skol20, skol23, skol24 ) }.
% 6.38/6.77
% 6.38/6.77 percentage equality = 0.008824, percentage horn = 0.926230
% 6.38/6.77 This is a problem with some equality
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77
% 6.38/6.77 Options Used:
% 6.38/6.77
% 6.38/6.77 useres = 1
% 6.38/6.77 useparamod = 1
% 6.38/6.77 useeqrefl = 1
% 6.38/6.77 useeqfact = 1
% 6.38/6.77 usefactor = 1
% 6.38/6.77 usesimpsplitting = 0
% 6.38/6.77 usesimpdemod = 5
% 6.38/6.77 usesimpres = 3
% 6.38/6.77
% 6.38/6.77 resimpinuse = 1000
% 6.38/6.77 resimpclauses = 20000
% 6.38/6.77 substype = eqrewr
% 6.38/6.77 backwardsubs = 1
% 6.38/6.77 selectoldest = 5
% 6.38/6.77
% 6.38/6.77 litorderings [0] = split
% 6.38/6.77 litorderings [1] = extend the termordering, first sorting on arguments
% 6.38/6.77
% 6.38/6.77 termordering = kbo
% 6.38/6.77
% 6.38/6.77 litapriori = 0
% 6.38/6.77 termapriori = 1
% 6.38/6.77 litaposteriori = 0
% 6.38/6.77 termaposteriori = 0
% 6.38/6.77 demodaposteriori = 0
% 6.38/6.77 ordereqreflfact = 0
% 6.38/6.77
% 6.38/6.77 litselect = negord
% 6.38/6.77
% 6.38/6.77 maxweight = 15
% 6.38/6.77 maxdepth = 30000
% 6.38/6.77 maxlength = 115
% 6.38/6.77 maxnrvars = 195
% 6.38/6.77 excuselevel = 1
% 6.38/6.77 increasemaxweight = 1
% 6.38/6.77
% 6.38/6.77 maxselected = 10000000
% 6.38/6.77 maxnrclauses = 10000000
% 6.38/6.77
% 6.38/6.77 showgenerated = 0
% 6.38/6.77 showkept = 0
% 6.38/6.77 showselected = 0
% 6.38/6.77 showdeleted = 0
% 6.38/6.77 showresimp = 1
% 6.38/6.77 showstatus = 2000
% 6.38/6.77
% 6.38/6.77 prologoutput = 0
% 6.38/6.77 nrgoals = 5000000
% 6.38/6.77 totalproof = 1
% 6.38/6.77
% 6.38/6.77 Symbols occurring in the translation:
% 6.38/6.77
% 6.38/6.77 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.38/6.77 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 6.38/6.77 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 6.38/6.77 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.38/6.77 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.38/6.77 coll [38, 3] (w:1, o:65, a:1, s:1, b:0),
% 6.38/6.77 para [40, 4] (w:1, o:73, a:1, s:1, b:0),
% 6.38/6.77 perp [43, 4] (w:1, o:74, a:1, s:1, b:0),
% 6.38/6.77 midp [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 6.38/6.77 cong [47, 4] (w:1, o:75, a:1, s:1, b:0),
% 6.38/6.77 circle [48, 4] (w:1, o:76, a:1, s:1, b:0),
% 6.38/6.77 cyclic [49, 4] (w:1, o:77, a:1, s:1, b:0),
% 6.38/6.77 eqangle [54, 8] (w:1, o:92, a:1, s:1, b:0),
% 6.38/6.77 eqratio [57, 8] (w:1, o:93, a:1, s:1, b:0),
% 6.38/6.77 simtri [59, 6] (w:1, o:89, a:1, s:1, b:0),
% 6.38/6.77 contri [60, 6] (w:1, o:90, a:1, s:1, b:0),
% 6.38/6.77 alpha1 [65, 3] (w:1, o:67, a:1, s:1, b:1),
% 6.38/6.77 alpha2 [66, 4] (w:1, o:78, a:1, s:1, b:1),
% 6.38/6.77 skol1 [67, 4] (w:1, o:79, a:1, s:1, b:1),
% 6.38/6.77 skol2 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 6.38/6.77 skol3 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 6.38/6.77 skol4 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 6.38/6.77 skol5 [71, 4] (w:1, o:85, a:1, s:1, b:1),
% 6.38/6.77 skol6 [72, 6] (w:1, o:91, a:1, s:1, b:1),
% 6.38/6.77 skol7 [73, 2] (w:1, o:61, a:1, s:1, b:1),
% 6.38/6.77 skol8 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 6.38/6.77 skol9 [75, 4] (w:1, o:87, a:1, s:1, b:1),
% 29.72/30.16 skol10 [76, 3] (w:1, o:68, a:1, s:1, b:1),
% 29.72/30.16 skol11 [77, 3] (w:1, o:69, a:1, s:1, b:1),
% 29.72/30.16 skol12 [78, 2] (w:1, o:62, a:1, s:1, b:1),
% 29.72/30.16 skol13 [79, 5] (w:1, o:88, a:1, s:1, b:1),
% 29.72/30.16 skol14 [80, 3] (w:1, o:70, a:1, s:1, b:1),
% 29.72/30.16 skol15 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 29.72/30.16 skol16 [82, 3] (w:1, o:72, a:1, s:1, b:1),
% 29.72/30.16 skol17 [83, 2] (w:1, o:63, a:1, s:1, b:1),
% 29.72/30.16 skol18 [84, 2] (w:1, o:64, a:1, s:1, b:1),
% 29.72/30.16 skol19 [85, 4] (w:1, o:80, a:1, s:1, b:1),
% 29.72/30.16 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 29.72/30.16 skol21 [87, 4] (w:1, o:82, a:1, s:1, b:1),
% 29.72/30.16 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 29.72/30.16 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 29.72/30.16 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 29.72/30.16 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 29.72/30.16 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 29.72/30.16 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1).
% 29.72/30.16
% 29.72/30.16
% 29.72/30.16 Starting Search:
% 29.72/30.16
% 29.72/30.16 *** allocated 15000 integers for clauses
% 29.72/30.16 *** allocated 22500 integers for clauses
% 29.72/30.16 *** allocated 33750 integers for clauses
% 29.72/30.16 *** allocated 50625 integers for clauses
% 29.72/30.16 *** allocated 22500 integers for termspace/termends
% 29.72/30.16 *** allocated 75937 integers for clauses
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 33750 integers for termspace/termends
% 29.72/30.16 *** allocated 113905 integers for clauses
% 29.72/30.16 *** allocated 50625 integers for termspace/termends
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 10149
% 29.72/30.16 Kept: 2025
% 29.72/30.16 Inuse: 321
% 29.72/30.16 Deleted: 0
% 29.72/30.16 Deletedinuse: 0
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 170857 integers for clauses
% 29.72/30.16 *** allocated 75937 integers for termspace/termends
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 256285 integers for clauses
% 29.72/30.16 *** allocated 113905 integers for termspace/termends
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 27000
% 29.72/30.16 Kept: 4031
% 29.72/30.16 Inuse: 463
% 29.72/30.16 Deleted: 1
% 29.72/30.16 Deletedinuse: 1
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 384427 integers for clauses
% 29.72/30.16 *** allocated 170857 integers for termspace/termends
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 39841
% 29.72/30.16 Kept: 6050
% 29.72/30.16 Inuse: 541
% 29.72/30.16 Deleted: 1
% 29.72/30.16 Deletedinuse: 1
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 576640 integers for clauses
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 52397
% 29.72/30.16 Kept: 8097
% 29.72/30.16 Inuse: 685
% 29.72/30.16 Deleted: 2
% 29.72/30.16 Deletedinuse: 1
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 256285 integers for termspace/termends
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 70943
% 29.72/30.16 Kept: 10290
% 29.72/30.16 Inuse: 809
% 29.72/30.16 Deleted: 5
% 29.72/30.16 Deletedinuse: 3
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 864960 integers for clauses
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 81562
% 29.72/30.16 Kept: 12788
% 29.72/30.16 Inuse: 859
% 29.72/30.16 Deleted: 7
% 29.72/30.16 Deletedinuse: 5
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 93291
% 29.72/30.16 Kept: 14805
% 29.72/30.16 Inuse: 959
% 29.72/30.16 Deleted: 18
% 29.72/30.16 Deletedinuse: 8
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 384427 integers for termspace/termends
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 104211
% 29.72/30.16 Kept: 16823
% 29.72/30.16 Inuse: 1058
% 29.72/30.16 Deleted: 18
% 29.72/30.16 Deletedinuse: 8
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 1297440 integers for clauses
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 115281
% 29.72/30.16 Kept: 18830
% 29.72/30.16 Inuse: 1161
% 29.72/30.16 Deleted: 23
% 29.72/30.16 Deletedinuse: 8
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying clauses:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 125517
% 29.72/30.16 Kept: 20833
% 29.72/30.16 Inuse: 1246
% 29.72/30.16 Deleted: 1321
% 29.72/30.16 Deletedinuse: 16
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 138507
% 29.72/30.16 Kept: 22864
% 29.72/30.16 Inuse: 1421
% 29.72/30.16 Deleted: 2525
% 29.72/30.16 Deletedinuse: 897
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 148786
% 29.72/30.16 Kept: 24870
% 29.72/30.16 Inuse: 1571
% 29.72/30.16 Deleted: 2581
% 29.72/30.16 Deletedinuse: 897
% 29.72/30.16
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16 *** allocated 576640 integers for termspace/termends
% 29.72/30.16 Resimplifying inuse:
% 29.72/30.16 Done
% 29.72/30.16
% 29.72/30.16
% 29.72/30.16 Intermediate Status:
% 29.72/30.16 Generated: 158977
% 29.72/30.16 Kept: 26873
% 29.72/30.16 Inuse: 1742
% 29.72/30.16 Deleted: 2774
% 29.72/30.16 Deletedinuse: 897
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 *** allocated 1946160 integers for clauses
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 183422
% 85.13/85.58 Kept: 28888
% 85.13/85.58 Inuse: 1843
% 85.13/85.58 Deleted: 3833
% 85.13/85.58 Deletedinuse: 903
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 188696
% 85.13/85.58 Kept: 30905
% 85.13/85.58 Inuse: 1891
% 85.13/85.58 Deleted: 3833
% 85.13/85.58 Deletedinuse: 903
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 196869
% 85.13/85.58 Kept: 32907
% 85.13/85.58 Inuse: 1998
% 85.13/85.58 Deleted: 3851
% 85.13/85.58 Deletedinuse: 903
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 208600
% 85.13/85.58 Kept: 34909
% 85.13/85.58 Inuse: 2179
% 85.13/85.58 Deleted: 3899
% 85.13/85.58 Deletedinuse: 903
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 220320
% 85.13/85.58 Kept: 36911
% 85.13/85.58 Inuse: 2339
% 85.13/85.58 Deleted: 3951
% 85.13/85.58 Deletedinuse: 903
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 233120
% 85.13/85.58 Kept: 38915
% 85.13/85.58 Inuse: 2487
% 85.13/85.58 Deleted: 3989
% 85.13/85.58 Deletedinuse: 903
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 *** allocated 2919240 integers for clauses
% 85.13/85.58 Resimplifying clauses:
% 85.13/85.58 *** allocated 864960 integers for termspace/termends
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 246867
% 85.13/85.58 Kept: 40924
% 85.13/85.58 Inuse: 2574
% 85.13/85.58 Deleted: 17510
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 257564
% 85.13/85.58 Kept: 42957
% 85.13/85.58 Inuse: 2650
% 85.13/85.58 Deleted: 17510
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 266292
% 85.13/85.58 Kept: 44958
% 85.13/85.58 Inuse: 2696
% 85.13/85.58 Deleted: 17510
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 277540
% 85.13/85.58 Kept: 47111
% 85.13/85.58 Inuse: 2746
% 85.13/85.58 Deleted: 17510
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 293042
% 85.13/85.58 Kept: 49112
% 85.13/85.58 Inuse: 2819
% 85.13/85.58 Deleted: 17510
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 310019
% 85.13/85.58 Kept: 51123
% 85.13/85.58 Inuse: 2893
% 85.13/85.58 Deleted: 17514
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 322485
% 85.13/85.58 Kept: 53139
% 85.13/85.58 Inuse: 2931
% 85.13/85.58 Deleted: 17518
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 335155
% 85.13/85.58 Kept: 55156
% 85.13/85.58 Inuse: 2984
% 85.13/85.58 Deleted: 17528
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 350315
% 85.13/85.58 Kept: 57164
% 85.13/85.58 Inuse: 3043
% 85.13/85.58 Deleted: 17535
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 359429
% 85.13/85.58 Kept: 59264
% 85.13/85.58 Inuse: 3079
% 85.13/85.58 Deleted: 17537
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying clauses:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 *** allocated 1297440 integers for termspace/termends
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 381266
% 85.13/85.58 Kept: 61273
% 85.13/85.58 Inuse: 3153
% 85.13/85.58 Deleted: 18577
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 *** allocated 4378860 integers for clauses
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 399283
% 85.13/85.58 Kept: 63307
% 85.13/85.58 Inuse: 3228
% 85.13/85.58 Deleted: 18577
% 85.13/85.58 Deletedinuse: 906
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 413848
% 85.13/85.58 Kept: 65316
% 85.13/85.58 Inuse: 3321
% 85.13/85.58 Deleted: 18578
% 85.13/85.58 Deletedinuse: 907
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 430566
% 85.13/85.58 Kept: 67319
% 85.13/85.58 Inuse: 3401
% 85.13/85.58 Deleted: 18578
% 85.13/85.58 Deletedinuse: 907
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 446433
% 85.13/85.58 Kept: 69330
% 85.13/85.58 Inuse: 3478
% 85.13/85.58 Deleted: 18578
% 85.13/85.58 Deletedinuse: 907
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58 Resimplifying inuse:
% 85.13/85.58 Done
% 85.13/85.58
% 85.13/85.58
% 85.13/85.58 Intermediate Status:
% 85.13/85.58 Generated: 461380
% 85.13/85.58 Kept: 72126
% 85.13/85.58 Inuse: 3534
% 107.31/107.76 Deleted: 18578
% 107.31/107.76 Deletedinuse: 907
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 470298
% 107.31/107.76 Kept: 74178
% 107.31/107.76 Inuse: 3549
% 107.31/107.76 Deleted: 18578
% 107.31/107.76 Deletedinuse: 907
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 478743
% 107.31/107.76 Kept: 76766
% 107.31/107.76 Inuse: 3564
% 107.31/107.76 Deleted: 18578
% 107.31/107.76 Deletedinuse: 907
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 493362
% 107.31/107.76 Kept: 78955
% 107.31/107.76 Inuse: 3619
% 107.31/107.76 Deleted: 18578
% 107.31/107.76 Deletedinuse: 907
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying clauses:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 507602
% 107.31/107.76 Kept: 80967
% 107.31/107.76 Inuse: 3643
% 107.31/107.76 Deleted: 19835
% 107.31/107.76 Deletedinuse: 977
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 541949
% 107.31/107.76 Kept: 83007
% 107.31/107.76 Inuse: 3712
% 107.31/107.76 Deleted: 20589
% 107.31/107.76 Deletedinuse: 1719
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 569008
% 107.31/107.76 Kept: 85042
% 107.31/107.76 Inuse: 3804
% 107.31/107.76 Deleted: 20652
% 107.31/107.76 Deletedinuse: 1773
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 579010
% 107.31/107.76 Kept: 87296
% 107.31/107.76 Inuse: 3843
% 107.31/107.76 Deleted: 20652
% 107.31/107.76 Deletedinuse: 1773
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 589000
% 107.31/107.76 Kept: 89480
% 107.31/107.76 Inuse: 3883
% 107.31/107.76 Deleted: 20652
% 107.31/107.76 Deletedinuse: 1773
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 *** allocated 1946160 integers for termspace/termends
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 598508
% 107.31/107.76 Kept: 91637
% 107.31/107.76 Inuse: 3929
% 107.31/107.76 Deleted: 20652
% 107.31/107.76 Deletedinuse: 1773
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 603893
% 107.31/107.76 Kept: 93692
% 107.31/107.76 Inuse: 3954
% 107.31/107.76 Deleted: 20717
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 *** allocated 6568290 integers for clauses
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 610328
% 107.31/107.76 Kept: 95726
% 107.31/107.76 Inuse: 3995
% 107.31/107.76 Deleted: 20717
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 621619
% 107.31/107.76 Kept: 97733
% 107.31/107.76 Inuse: 4045
% 107.31/107.76 Deleted: 20717
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 627720
% 107.31/107.76 Kept: 99951
% 107.31/107.76 Inuse: 4078
% 107.31/107.76 Deleted: 20717
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying clauses:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 633835
% 107.31/107.76 Kept: 102055
% 107.31/107.76 Inuse: 4108
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 639952
% 107.31/107.76 Kept: 104079
% 107.31/107.76 Inuse: 4141
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 648456
% 107.31/107.76 Kept: 106094
% 107.31/107.76 Inuse: 4187
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 655413
% 107.31/107.76 Kept: 108094
% 107.31/107.76 Inuse: 4231
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 671482
% 107.31/107.76 Kept: 110109
% 107.31/107.76 Inuse: 4300
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 692678
% 107.31/107.76 Kept: 112161
% 107.31/107.76 Inuse: 4377
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 705648
% 107.31/107.76 Kept: 114234
% 107.31/107.76 Inuse: 4442
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 714478
% 107.31/107.76 Kept: 116240
% 107.31/107.76 Inuse: 4491
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 730344
% 107.31/107.76 Kept: 118257
% 107.31/107.76 Inuse: 4538
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 741848
% 107.31/107.76 Kept: 120275
% 107.31/107.76 Inuse: 4579
% 107.31/107.76 Deleted: 30975
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying clauses:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 760163
% 107.31/107.76 Kept: 122298
% 107.31/107.76 Inuse: 4637
% 107.31/107.76 Deleted: 32372
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 769789
% 107.31/107.76 Kept: 124336
% 107.31/107.76 Inuse: 4687
% 107.31/107.76 Deleted: 32372
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 777892
% 107.31/107.76 Kept: 126347
% 107.31/107.76 Inuse: 4731
% 107.31/107.76 Deleted: 32372
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Intermediate Status:
% 107.31/107.76 Generated: 793258
% 107.31/107.76 Kept: 128381
% 107.31/107.76 Inuse: 4779
% 107.31/107.76 Deleted: 32372
% 107.31/107.76 Deletedinuse: 1838
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76 Resimplifying inuse:
% 107.31/107.76 Done
% 107.31/107.76
% 107.31/107.76
% 107.31/107.76 Bliksems!, er is een bewijs:
% 107.31/107.76 % SZS status Theorem
% 107.31/107.76 % SZS output start Refutation
% 107.31/107.76
% 107.31/107.76 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 107.31/107.76 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 107.31/107.76 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 107.31/107.76 , Z, X ) }.
% 107.31/107.76 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 107.31/107.76 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 107.31/107.76 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 107.31/107.76 para( X, Y, Z, T ) }.
% 107.31/107.76 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 107.31/107.76 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 107.31/107.76 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 107.31/107.76 para( X, Y, Z, T ) }.
% 107.31/107.76 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 107.31/107.76 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 107.31/107.76 circle( T, X, Y, Z ) }.
% 107.31/107.76 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 107.31/107.76 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.76 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 107.31/107.76 }.
% 107.31/107.76 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 107.31/107.76 }.
% 107.31/107.76 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 107.31/107.76 }.
% 107.31/107.76 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 107.31/107.76 ), cyclic( X, Y, Z, T ) }.
% 107.31/107.76 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 107.31/107.76 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 107.31/107.76 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 107.31/107.76 cong( X, Y, Z, T ) }.
% 107.31/107.76 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 107.31/107.76 T, X, T, Y ) }.
% 107.31/107.76 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 107.31/107.76 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 107.31/107.76 , Y, Z, T ) }.
% 107.31/107.76 (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 107.31/107.76 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 107.31/107.76 (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X
% 107.31/107.76 , Y, Z, Y ) }.
% 107.31/107.76 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 107.31/107.76 perp( X, Y, Y, Z ) }.
% 107.31/107.76 (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong
% 107.31/107.76 ( Z, X, Z, Y ) }.
% 107.31/107.76 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 107.31/107.76 perp( X, Y, Z, T ) }.
% 107.31/107.76 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 107.31/107.76 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 107.31/107.76 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 107.31/107.76 , Z, Y, T ) }.
% 107.31/107.76 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 107.31/107.76 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 107.31/107.76 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 107.31/107.76 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 107.31/107.76 (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp
% 107.31/107.76 ( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 107.31/107.76 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 107.31/107.76 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 107.31/107.76 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 107.31/107.76 , X, X, Y ) }.
% 107.31/107.76 (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol26, skol27 ) }.
% 107.31/107.76 (117) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol26, skol27 ) }.
% 107.31/107.76 (118) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol25, skol26 ) }.
% 107.31/107.76 (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol27, skol26 ) }.
% 107.31/107.76 (120) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol25, skol27 ) }.
% 107.31/107.76 (121) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol22, skol20, skol23, skol24 )
% 107.31/107.76 }.
% 107.31/107.76 (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 107.31/107.76 (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 107.31/107.76 ) }.
% 107.31/107.76 (127) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 107.31/107.76 ), cyclic( Y, Z, T, T ) }.
% 107.31/107.76 (128) {G2,W10,D2,L2,V3,M2} F(127) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 107.31/107.76 Z ) }.
% 107.31/107.76 (129) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 107.31/107.76 , T ) }.
% 107.31/107.76 (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 107.31/107.76 , midp( X, T, T ) }.
% 107.31/107.76 (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 107.31/107.76 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 107.31/107.76 (160) {G1,W8,D2,L2,V3,M2} R(69,0) { ! midp( X, Y, Z ), coll( X, Z, Y ) }.
% 107.31/107.76 (162) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol23, skol27, skol26 ) }.
% 107.31/107.76 (163) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol24, skol25, skol27 ) }.
% 107.31/107.76 (166) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y, X, Z ) }.
% 107.31/107.76 (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 107.31/107.76 (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 107.31/107.76 (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( Z, T, X ), !
% 107.31/107.76 coll( X, T, Y ) }.
% 107.31/107.76 (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 107.31/107.76 coll( Z, X, T ) }.
% 107.31/107.76 (197) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 107.31/107.76 (215) {G2,W4,D2,L1,V0,M1} R(162,0) { coll( skol23, skol26, skol27 ) }.
% 107.31/107.76 (222) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para( Z, T, Y, X
% 107.31/107.76 ) }.
% 107.31/107.76 (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 107.31/107.76 ) }.
% 107.31/107.76 (233) {G2,W4,D2,L1,V0,M1} R(163,1) { coll( skol25, skol24, skol27 ) }.
% 107.31/107.76 (234) {G2,W4,D2,L1,V0,M1} R(163,0) { coll( skol24, skol27, skol25 ) }.
% 107.31/107.76 (236) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 107.31/107.76 ), ! para( X, Y, U, W ) }.
% 107.31/107.76 (242) {G2,W10,D2,L2,V4,M2} F(236) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 107.31/107.76 ) }.
% 107.31/107.76 (245) {G3,W4,D2,L1,V0,M1} R(233,0) { coll( skol25, skol27, skol24 ) }.
% 107.31/107.76 (248) {G4,W4,D2,L1,V0,M1} R(245,1) { coll( skol27, skol25, skol24 ) }.
% 107.31/107.76 (251) {G5,W4,D2,L1,V0,M1} R(248,0) { coll( skol27, skol24, skol25 ) }.
% 107.31/107.76 (254) {G1,W5,D2,L1,V0,M1} R(6,116) { perp( skol20, skol25, skol27, skol26 )
% 107.31/107.76 }.
% 107.31/107.76 (259) {G6,W4,D2,L1,V0,M1} R(197,251) { coll( skol25, skol27, skol25 ) }.
% 107.31/107.76 (262) {G3,W4,D2,L1,V0,M1} R(197,233) { coll( skol27, skol25, skol27 ) }.
% 107.31/107.76 (273) {G3,W12,D2,L3,V4,M3} R(197,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 107.31/107.76 coll( X, Z, T ) }.
% 107.31/107.76 (285) {G3,W4,D2,L1,V0,M1} R(197,117) { coll( skol27, skol20, skol27 ) }.
% 107.31/107.76 (286) {G4,W8,D2,L2,V3,M2} F(273) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 107.31/107.76 (292) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 107.31/107.76 ) }.
% 107.31/107.76 (294) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol26, skol27, skol20, skol25 )
% 107.31/107.76 }.
% 107.31/107.76 (301) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 107.31/107.76 ), ! perp( X, Y, U, W ) }.
% 107.31/107.76 (302) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 107.31/107.76 ), ! perp( U, W, Z, T ) }.
% 107.31/107.76 (303) {G2,W10,D2,L2,V2,M2} R(8,254) { ! perp( skol27, skol26, X, Y ), para
% 107.31/107.76 ( skol20, skol25, X, Y ) }.
% 107.31/107.76 (314) {G2,W10,D2,L2,V4,M2} F(302) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 107.31/107.76 ) }.
% 107.31/107.76 (315) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para( Z, T, Z, T
% 107.31/107.76 ) }.
% 107.31/107.76 (340) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol22, skol26, skol25 ) }.
% 107.31/107.76 (341) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol23, skol26, skol27 ) }.
% 107.31/107.76 (342) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol24, skol27, skol25 ) }.
% 107.31/107.76 (348) {G4,W4,D2,L1,V0,M1} R(262,0) { coll( skol27, skol27, skol25 ) }.
% 107.31/107.76 (371) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 107.31/107.76 , T, Y ) }.
% 107.31/107.76 (380) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 107.31/107.76 , X, T ) }.
% 107.31/107.76 (381) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 107.31/107.76 , X, T ) }.
% 107.31/107.76 (382) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 107.31/107.76 , T, Z ) }.
% 107.31/107.76 (384) {G1,W5,D2,L1,V0,M1} R(15,121) { ! cyclic( skol20, skol22, skol23,
% 107.31/107.76 skol24 ) }.
% 107.31/107.76 (401) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 107.31/107.76 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 107.31/107.76 (404) {G1,W15,D2,L3,V5,M3} R(16,14) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 107.31/107.76 Y, Z, U ), cyclic( Y, T, Z, U ) }.
% 107.31/107.76 (406) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 107.31/107.76 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 107.31/107.76 (410) {G2,W10,D2,L2,V4,M2} F(404) { ! cyclic( X, Y, Z, T ), cyclic( Y, T, Z
% 107.31/107.76 , T ) }.
% 107.31/107.76 (411) {G2,W10,D2,L2,V4,M2} F(401) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 107.31/107.76 , T ) }.
% 107.31/107.76 (496) {G1,W10,D2,L2,V4,M2} R(23,22) { cong( X, Y, Z, T ), ! cong( Z, T, Y,
% 107.31/107.76 X ) }.
% 107.31/107.76 (498) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), ! cong( X, Z, X
% 107.31/107.76 , T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 107.31/107.76 (499) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), ! cong( X, Z, X
% 107.31/107.76 , T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 107.31/107.76 (500) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), ! cong( X, Z, X
% 107.31/107.76 , T ), ! cong( X, Z, X, U ), cyclic( Z, T, U, Y ) }.
% 107.31/107.76 (514) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( U, W, Z,
% 107.31/107.76 T ), ! cong( X, Y, U, W ) }.
% 107.31/107.76 (527) {G2,W10,D2,L2,V4,M2} F(514) { ! cong( X, Y, Z, T ), cong( Z, T, Z, T
% 107.31/107.76 ) }.
% 107.31/107.76 (538) {G4,W4,D2,L1,V0,M1} R(285,0) { coll( skol27, skol27, skol20 ) }.
% 107.31/107.76 (540) {G5,W8,D2,L2,V1,M2} R(538,2) { ! coll( skol27, skol27, X ), coll(
% 107.31/107.76 skol20, X, skol27 ) }.
% 107.31/107.76 (543) {G2,W5,D2,L1,V0,M1} R(384,14) { ! cyclic( skol20, skol23, skol22,
% 107.31/107.76 skol24 ) }.
% 107.31/107.76 (549) {G3,W5,D2,L1,V0,M1} R(543,15) { ! cyclic( skol23, skol20, skol22,
% 107.31/107.76 skol24 ) }.
% 107.31/107.76 (552) {G4,W5,D2,L1,V0,M1} R(549,14) { ! cyclic( skol23, skol22, skol20,
% 107.31/107.76 skol24 ) }.
% 107.31/107.76 (556) {G5,W5,D2,L1,V0,M1} R(552,13) { ! cyclic( skol23, skol22, skol24,
% 107.31/107.76 skol20 ) }.
% 107.31/107.76 (557) {G6,W5,D2,L1,V0,M1} R(556,15) { ! cyclic( skol22, skol23, skol24,
% 107.31/107.76 skol20 ) }.
% 107.31/107.76 (563) {G7,W5,D2,L1,V0,M1} R(557,14) { ! cyclic( skol22, skol24, skol23,
% 107.31/107.76 skol20 ) }.
% 107.31/107.76 (565) {G8,W5,D2,L1,V0,M1} R(563,15) { ! cyclic( skol24, skol22, skol23,
% 107.31/107.76 skol20 ) }.
% 107.31/107.76 (568) {G9,W5,D2,L1,V0,M1} R(565,14) { ! cyclic( skol24, skol23, skol22,
% 107.31/107.76 skol20 ) }.
% 107.31/107.76 (572) {G10,W5,D2,L1,V0,M1} R(568,13) { ! cyclic( skol24, skol23, skol20,
% 107.31/107.76 skol22 ) }.
% 107.31/107.76 (577) {G11,W5,D2,L1,V0,M1} R(572,14) { ! cyclic( skol24, skol20, skol23,
% 107.31/107.76 skol22 ) }.
% 107.31/107.76 (580) {G12,W5,D2,L1,V0,M1} R(577,15) { ! cyclic( skol20, skol24, skol23,
% 107.31/107.76 skol22 ) }.
% 107.31/107.76 (582) {G13,W10,D2,L2,V1,M2} R(580,16) { ! cyclic( X, skol20, skol24, skol23
% 107.31/107.76 ), ! cyclic( X, skol20, skol24, skol22 ) }.
% 107.31/107.76 (620) {G2,W10,D2,L2,V2,M2} R(294,8) { ! perp( skol20, skol25, X, Y ), para
% 107.31/107.76 ( skol26, skol27, X, Y ) }.
% 107.31/107.76 (645) {G5,W8,D2,L2,V3,M2} R(286,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 107.31/107.76 (653) {G6,W8,D2,L2,V3,M2} R(645,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 107.31/107.76 (730) {G7,W8,D2,L2,V3,M2} R(653,653) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 107.31/107.76 }.
% 107.31/107.76 (733) {G8,W12,D2,L3,V4,M3} R(730,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 107.31/107.76 , coll( T, Y, X ) }.
% 107.31/107.76 (734) {G9,W8,D2,L2,V3,M2} F(733) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 107.31/107.76 (753) {G10,W8,D2,L2,V3,M2} R(734,69) { coll( X, Y, Z ), ! midp( Z, Y, X )
% 107.31/107.76 }.
% 107.31/107.76 (805) {G11,W8,D2,L2,V3,M2} R(753,0) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 107.31/107.76 }.
% 107.31/107.76 (957) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 107.31/107.76 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 107.31/107.76 (989) {G2,W15,D2,L3,V3,M3} F(957) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 107.31/107.76 , Z, Y ), cong( X, Y, X, Y ) }.
% 107.31/107.76 (1136) {G6,W8,D2,L2,V2,M2} R(540,122) { coll( skol20, X, skol27 ), ! coll(
% 107.31/107.76 X, Y, skol27 ) }.
% 107.31/107.76 (1662) {G7,W8,D2,L2,V2,M2} R(1136,169) { ! coll( X, Y, skol27 ), coll( X,
% 107.31/107.76 skol27, skol20 ) }.
% 107.31/107.76 (1676) {G8,W8,D2,L2,V2,M2} R(1662,122) { coll( X, skol27, skol20 ), ! coll
% 107.31/107.76 ( skol27, Y, X ) }.
% 107.31/107.76 (1681) {G12,W8,D2,L2,V2,M2} R(1662,805) { coll( X, skol27, skol20 ), ! midp
% 107.31/107.76 ( Y, skol27, X ) }.
% 107.31/107.76 (1714) {G1,W14,D2,L3,V4,M3} R(55,7) { ! midp( X, Y, Z ), cong( T, Y, T, Z )
% 107.31/107.76 , ! perp( Y, Z, T, X ) }.
% 107.31/107.76 (1723) {G9,W8,D2,L2,V2,M2} R(1676,169) { ! coll( skol27, X, Y ), coll(
% 107.31/107.76 skol27, skol20, Y ) }.
% 107.31/107.76 (1779) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 107.31/107.76 , T ), perp( Y, T, X, Z ) }.
% 107.31/107.76 (1780) {G2,W10,D2,L2,V3,M2} F(1779) { ! cong( X, Y, Z, Y ), perp( Y, Y, X,
% 107.31/107.76 Z ) }.
% 107.31/107.76 (1808) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z
% 107.31/107.76 , T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong( U, W, Z, T )
% 107.31/107.76 }.
% 107.31/107.76 (1996) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), ! midp( X, T, U )
% 107.31/107.76 , ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U ) }.
% 107.31/107.76 (2005) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 107.31/107.76 ), ! midp( X, U, T ) }.
% 107.31/107.76 (2021) {G2,W9,D2,L2,V3,M2} F(2005) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 107.31/107.76 }.
% 107.31/107.76 (2024) {G2,W12,D2,L3,V4,M3} F(1996);r(166) { ! midp( X, X, Y ), ! midp( X,
% 107.31/107.76 Z, T ), midp( Z, X, T ) }.
% 107.31/107.76 (2069) {G1,W14,D2,L3,V2,M3} R(64,120) { ! para( skol25, X, skol27, Y ), !
% 107.31/107.76 para( skol25, Y, skol27, X ), midp( skol24, X, Y ) }.
% 107.31/107.76 (2475) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong( X, Y, Z, X )
% 107.31/107.76 }.
% 107.31/107.76 (2481) {G2,W5,D2,L1,V0,M1} R(68,342) { cong( skol24, skol27, skol24, skol25
% 107.31/107.76 ) }.
% 107.31/107.76 (2482) {G2,W5,D2,L1,V0,M1} R(68,341) { cong( skol23, skol26, skol23, skol27
% 107.31/107.76 ) }.
% 107.31/107.76 (2483) {G2,W5,D2,L1,V0,M1} R(68,340) { cong( skol22, skol26, skol22, skol25
% 107.31/107.76 ) }.
% 107.31/107.76 (2484) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol22, skol25, skol22, skol26
% 107.31/107.76 ) }.
% 107.31/107.76 (2485) {G1,W5,D2,L1,V0,M1} R(68,119) { cong( skol23, skol27, skol23, skol26
% 107.31/107.76 ) }.
% 107.31/107.76 (2486) {G1,W5,D2,L1,V0,M1} R(68,120) { cong( skol24, skol25, skol24, skol27
% 107.31/107.76 ) }.
% 107.31/107.76 (2495) {G3,W5,D2,L1,V0,M1} R(2481,22) { cong( skol24, skol27, skol25,
% 107.31/107.76 skol24 ) }.
% 107.31/107.76 (2507) {G4,W5,D2,L1,V0,M1} R(2495,23) { cong( skol25, skol24, skol24,
% 107.31/107.76 skol27 ) }.
% 107.31/107.76 (2511) {G5,W5,D2,L1,V0,M1} R(2507,22) { cong( skol25, skol24, skol27,
% 107.31/107.76 skol24 ) }.
% 107.31/107.76 (2519) {G6,W5,D2,L1,V0,M1} R(2511,23) { cong( skol27, skol24, skol25,
% 107.31/107.76 skol24 ) }.
% 107.31/107.76 (2559) {G7,W5,D2,L1,V0,M1} R(2519,22) { cong( skol27, skol24, skol24,
% 107.31/107.76 skol25 ) }.
% 107.31/107.76 (2562) {G8,W10,D2,L2,V2,M2} R(2559,24) { ! cong( X, Y, skol27, skol24 ),
% 107.31/107.76 cong( X, Y, skol24, skol25 ) }.
% 107.31/107.76 (2674) {G3,W15,D2,L3,V2,M3} R(2483,12) { ! cong( skol22, skol26, skol22, X
% 107.31/107.76 ), ! cong( skol22, skol26, skol22, Y ), cyclic( skol26, X, Y, skol25 )
% 107.31/107.76 }.
% 107.31/107.76 (2677) {G4,W10,D2,L2,V1,M2} F(2674) { ! cong( skol22, skol26, skol22, X ),
% 107.31/107.76 cyclic( skol26, X, X, skol25 ) }.
% 107.31/107.76 (2697) {G1,W15,D2,L3,V3,M3} R(73,46) { ! perp( X, Y, Z, Y ), perp( Z, X, X
% 107.31/107.76 , Y ), ! cong( Z, X, Z, Y ) }.
% 107.31/107.76 (2977) {G10,W8,D2,L2,V2,M2} R(1723,169) { coll( skol27, skol20, X ), ! coll
% 107.31/107.76 ( X, skol27, Y ) }.
% 107.31/107.76 (3087) {G11,W8,D2,L2,V2,M2} R(2977,734) { ! coll( X, skol27, Y ), coll( X,
% 107.31/107.76 skol20, skol27 ) }.
% 107.31/107.76 (3097) {G12,W8,D2,L2,V2,M2} R(3087,169) { coll( X, skol20, skol27 ), ! coll
% 107.31/107.76 ( Y, X, skol27 ) }.
% 107.31/107.76 (3227) {G13,W8,D2,L2,V2,M2} R(3097,169) { ! coll( X, Y, skol27 ), coll(
% 107.31/107.76 skol20, skol27, Y ) }.
% 107.31/107.76 (3235) {G14,W8,D2,L2,V2,M2} R(3227,160) { coll( skol20, skol27, X ), ! midp
% 107.31/107.77 ( Y, skol27, X ) }.
% 107.31/107.77 (7132) {G2,W5,D2,L1,V0,M1} R(124,2486) { circle( skol24, skol25, skol27,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 (7133) {G2,W5,D2,L1,V0,M1} R(124,2485) { circle( skol23, skol27, skol26,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 (7134) {G2,W5,D2,L1,V0,M1} R(124,2484) { circle( skol22, skol25, skol26,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 (7135) {G3,W5,D2,L1,V0,M1} R(124,2483) { circle( skol22, skol26, skol25,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (7136) {G3,W5,D2,L1,V0,M1} R(124,2482) { circle( skol23, skol26, skol27,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 (7137) {G3,W5,D2,L1,V0,M1} R(124,2481) { circle( skol24, skol27, skol25,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (7145) {G3,W7,D3,L1,V0,M1} R(7132,100) { perp( skol12( skol25, skol24 ),
% 107.31/107.77 skol25, skol25, skol24 ) }.
% 107.31/107.77 (7241) {G3,W7,D3,L1,V0,M1} R(7133,100) { perp( skol12( skol27, skol23 ),
% 107.31/107.77 skol27, skol27, skol23 ) }.
% 107.31/107.77 (7242) {G3,W5,D2,L1,V0,M1} R(7133,53);r(162) { perp( skol27, skol26, skol26
% 107.31/107.77 , skol26 ) }.
% 107.31/107.77 (7314) {G3,W5,D2,L1,V0,M1} R(128,2484) { cyclic( skol25, skol26, skol26,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 (8088) {G5,W10,D3,L2,V1,M2} R(144,342);r(348) { ! coll( skol25, skol27,
% 107.31/107.77 skol25 ), midp( skol7( skol27, X ), skol27, X ) }.
% 107.31/107.77 (8131) {G4,W5,D2,L1,V0,M1} R(7314,15) { cyclic( skol26, skol25, skol26,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 (8136) {G5,W5,D2,L1,V0,M1} R(8131,14) { cyclic( skol26, skol26, skol25,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 (8213) {G6,W5,D2,L1,V0,M1} R(8136,13) { cyclic( skol26, skol26, skol26,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (8214) {G7,W5,D2,L1,V0,M1} R(8213,129) { cyclic( skol26, skol26, skol25,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (8225) {G8,W5,D2,L1,V0,M1} R(8214,14) { cyclic( skol26, skol25, skol26,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (8230) {G9,W5,D2,L1,V0,M1} R(8225,15) { cyclic( skol25, skol26, skol26,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (8363) {G3,W7,D3,L1,V0,M1} R(7134,100) { perp( skol12( skol25, skol22 ),
% 107.31/107.77 skol25, skol25, skol22 ) }.
% 107.31/107.77 (8436) {G4,W7,D3,L1,V0,M1} R(7135,100) { perp( skol12( skol26, skol22 ),
% 107.31/107.77 skol26, skol26, skol22 ) }.
% 107.31/107.77 (8537) {G4,W7,D3,L1,V0,M1} R(7136,100) { perp( skol12( skol26, skol23 ),
% 107.31/107.77 skol26, skol26, skol23 ) }.
% 107.31/107.77 (8538) {G4,W5,D2,L1,V0,M1} R(7136,53);r(215) { perp( skol26, skol27, skol27
% 107.31/107.77 , skol27 ) }.
% 107.31/107.77 (8556) {G5,W5,D2,L1,V0,M1} R(8538,7) { perp( skol27, skol27, skol26, skol27
% 107.31/107.77 ) }.
% 107.31/107.77 (8712) {G6,W5,D2,L1,V0,M1} R(8556,6) { perp( skol27, skol27, skol27, skol26
% 107.31/107.77 ) }.
% 107.31/107.77 (8801) {G7,W5,D2,L1,V0,M1} R(8712,7) { perp( skol27, skol26, skol27, skol27
% 107.31/107.77 ) }.
% 107.31/107.77 (8812) {G4,W5,D2,L1,V0,M1} R(7137,53);r(234) { perp( skol27, skol25, skol25
% 107.31/107.77 , skol25 ) }.
% 107.31/107.77 (8830) {G5,W5,D2,L1,V0,M1} R(8812,7) { perp( skol25, skol25, skol27, skol25
% 107.31/107.77 ) }.
% 107.31/107.77 (8849) {G6,W5,D2,L1,V0,M1} R(8830,6) { perp( skol25, skol25, skol25, skol27
% 107.31/107.77 ) }.
% 107.31/107.77 (9012) {G7,W5,D2,L1,V0,M1} R(8849,7) { perp( skol25, skol27, skol25, skol25
% 107.31/107.77 ) }.
% 107.31/107.77 (18564) {G8,W5,D2,L1,V0,M1} R(303,8801) { para( skol20, skol25, skol27,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 (18569) {G4,W5,D2,L1,V0,M1} R(303,7242) { para( skol20, skol25, skol26,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 (18594) {G9,W5,D2,L1,V0,M1} R(18564,223) { para( skol27, skol27, skol25,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 (18605) {G10,W5,D2,L1,V0,M1} R(18594,242) { para( skol25, skol20, skol25,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 (18616) {G10,W5,D2,L1,V0,M1} R(18594,223) { para( skol25, skol20, skol27,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 (18623) {G10,W12,D2,L3,V1,M3} R(18594,45) { ! midp( skol27, X, skol25 ), !
% 107.31/107.77 coll( skol27, X, skol20 ), midp( skol27, X, skol20 ) }.
% 107.31/107.77 (18630) {G11,W8,D2,L2,V1,M2} R(18605,138) { ! midp( X, skol25, skol25 ),
% 107.31/107.77 midp( X, skol20, skol20 ) }.
% 107.31/107.77 (18719) {G11,W12,D2,L3,V1,M3} R(18616,45) { ! midp( skol25, X, skol27 ), !
% 107.31/107.77 coll( skol20, X, skol27 ), midp( skol20, X, skol27 ) }.
% 107.31/107.77 (18869) {G5,W5,D2,L1,V0,M1} R(18569,223) { para( skol26, skol26, skol25,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 (18897) {G6,W12,D2,L3,V1,M3} R(18869,45) { ! midp( skol26, X, skol25 ), !
% 107.31/107.77 coll( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 107.31/107.77 (19482) {G8,W5,D2,L1,V0,M1} R(314,9012) { para( skol25, skol27, skol25,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 (19493) {G9,W5,D2,L1,V0,M1} R(19482,222) { para( skol27, skol25, skol25,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 (19518) {G11,W8,D2,L2,V1,M2} R(19493,45);r(753) { ! midp( skol27, X, skol25
% 107.31/107.77 ), midp( skol25, X, skol27 ) }.
% 107.31/107.77 (20056) {G7,W6,D3,L1,V1,M1} S(8088);r(259) { midp( skol7( skol27, X ),
% 107.31/107.77 skol27, X ) }.
% 107.31/107.77 (20268) {G13,W4,D2,L1,V1,M1} R(20056,1681) { coll( X, skol27, skol20 ) }.
% 107.31/107.77 (20275) {G15,W4,D2,L1,V1,M1} R(20056,3235) { coll( skol20, skol27, X ) }.
% 107.31/107.77 (20319) {G8,W6,D3,L1,V1,M1} R(20056,10) { midp( skol7( skol27, X ), X,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 (20332) {G14,W4,D2,L1,V1,M1} R(20268,168) { coll( skol20, X, skol27 ) }.
% 107.31/107.77 (20334) {G16,W4,D2,L1,V2,M1} R(20332,193);r(20275) { coll( X, Y, skol20 )
% 107.31/107.77 }.
% 107.31/107.77 (20370) {G17,W4,D2,L1,V2,M1} R(20334,169) { coll( X, skol20, Y ) }.
% 107.31/107.77 (20494) {G18,W4,D2,L1,V3,M1} R(20370,194);r(20370) { coll( Z, X, Y ) }.
% 107.31/107.77 (21756) {G5,W5,D2,L1,V0,M1} R(8537,315) { para( skol26, skol23, skol26,
% 107.31/107.77 skol23 ) }.
% 107.31/107.77 (21781) {G6,W5,D2,L1,V0,M1} R(21756,223) { para( skol26, skol23, skol23,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 (21786) {G7,W5,D2,L1,V0,M1} R(21781,242) { para( skol23, skol26, skol23,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 (21818) {G8,W8,D2,L2,V1,M2} R(21786,138) { ! midp( X, skol23, skol23 ),
% 107.31/107.77 midp( X, skol26, skol26 ) }.
% 107.31/107.77 (21950) {G5,W5,D2,L1,V0,M1} R(8436,315) { para( skol26, skol22, skol26,
% 107.31/107.77 skol22 ) }.
% 107.31/107.77 (21977) {G6,W8,D2,L2,V1,M2} R(21950,138) { ! midp( X, skol26, skol26 ),
% 107.31/107.77 midp( X, skol22, skol22 ) }.
% 107.31/107.77 (22093) {G4,W5,D2,L1,V0,M1} R(8363,315) { para( skol25, skol22, skol25,
% 107.31/107.77 skol22 ) }.
% 107.31/107.77 (22117) {G5,W5,D2,L1,V0,M1} R(22093,223) { para( skol25, skol22, skol22,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (22122) {G6,W5,D2,L1,V0,M1} R(22117,242) { para( skol22, skol25, skol22,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (22126) {G7,W8,D2,L2,V1,M2} R(22122,138) { ! midp( X, skol22, skol22 ),
% 107.31/107.77 midp( X, skol25, skol25 ) }.
% 107.31/107.77 (22222) {G4,W5,D2,L1,V0,M1} R(7241,315) { para( skol27, skol23, skol27,
% 107.31/107.77 skol23 ) }.
% 107.31/107.77 (22248) {G5,W8,D2,L2,V1,M2} R(22222,138) { ! midp( X, skol27, skol27 ),
% 107.31/107.77 midp( X, skol23, skol23 ) }.
% 107.31/107.77 (22350) {G4,W5,D2,L1,V0,M1} R(7145,315) { para( skol25, skol24, skol25,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 (22374) {G5,W5,D2,L1,V0,M1} R(22350,223) { para( skol25, skol24, skol24,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (22376) {G5,W8,D2,L2,V1,M2} R(22350,138) { ! midp( X, skol25, skol25 ),
% 107.31/107.77 midp( X, skol24, skol24 ) }.
% 107.31/107.77 (22379) {G6,W5,D2,L1,V0,M1} R(22374,242) { para( skol24, skol25, skol24,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (22383) {G7,W8,D2,L2,V1,M2} R(22379,138) { ! midp( X, skol24, skol24 ),
% 107.31/107.77 midp( X, skol25, skol25 ) }.
% 107.31/107.77 (24975) {G9,W6,D3,L1,V0,M1} R(22248,20319) { midp( skol7( skol27, skol27 )
% 107.31/107.77 , skol23, skol23 ) }.
% 107.31/107.77 (25000) {G8,W8,D2,L2,V1,M2} R(22126,22376) { ! midp( X, skol22, skol22 ),
% 107.31/107.77 midp( X, skol24, skol24 ) }.
% 107.31/107.77 (25103) {G9,W8,D2,L2,V1,M2} R(21977,25000) { ! midp( X, skol26, skol26 ),
% 107.31/107.77 midp( X, skol24, skol24 ) }.
% 107.31/107.77 (25172) {G10,W6,D3,L1,V0,M1} R(21818,24975) { midp( skol7( skol27, skol27 )
% 107.31/107.77 , skol26, skol26 ) }.
% 107.31/107.77 (25184) {G11,W6,D3,L1,V0,M1} R(25172,25103) { midp( skol7( skol27, skol27 )
% 107.31/107.77 , skol24, skol24 ) }.
% 107.31/107.77 (25198) {G12,W6,D3,L1,V0,M1} R(25184,22383) { midp( skol7( skol27, skol27 )
% 107.31/107.77 , skol25, skol25 ) }.
% 107.31/107.77 (25848) {G12,W8,D2,L2,V1,M2} R(19518,10) { midp( skol25, X, skol27 ), !
% 107.31/107.77 midp( skol27, skol25, X ) }.
% 107.31/107.77 (26554) {G13,W6,D3,L1,V0,M1} R(18630,25198) { midp( skol7( skol27, skol27 )
% 107.31/107.77 , skol20, skol20 ) }.
% 107.31/107.77 (27498) {G10,W5,D2,L1,V0,M1} R(989,8230);r(7314) { cong( skol25, skol26,
% 107.31/107.77 skol25, skol26 ) }.
% 107.31/107.77 (40162) {G19,W8,D2,L2,V1,M2} S(18897);r(20494) { ! midp( skol26, X, skol25
% 107.31/107.77 ), midp( skol26, X, skol20 ) }.
% 107.31/107.77 (40169) {G19,W8,D2,L2,V1,M2} S(18719);r(20494) { ! midp( skol25, X, skol27
% 107.31/107.77 ), midp( skol20, X, skol27 ) }.
% 107.31/107.77 (40177) {G19,W8,D2,L2,V1,M2} S(18623);r(20494) { ! midp( skol27, X, skol25
% 107.31/107.77 ), midp( skol27, X, skol20 ) }.
% 107.31/107.77 (45452) {G20,W8,D2,L2,V1,M2} R(40169,25848) { midp( skol20, X, skol27 ), !
% 107.31/107.77 midp( skol27, skol25, X ) }.
% 107.31/107.77 (45671) {G21,W8,D2,L2,V1,M2} R(45452,10) { ! midp( skol27, skol25, X ),
% 107.31/107.77 midp( skol20, skol27, X ) }.
% 107.31/107.77 (45740) {G22,W8,D2,L2,V1,M2} R(45671,10) { midp( skol20, skol27, X ), !
% 107.31/107.77 midp( skol27, X, skol25 ) }.
% 107.31/107.77 (78952) {G9,W5,D2,L1,V1,M1} R(2021,20319) { para( X, skol27, skol27, X )
% 107.31/107.77 }.
% 107.31/107.77 (79041) {G10,W5,D2,L1,V1,M1} R(78952,223) { para( skol27, X, skol27, X )
% 107.31/107.77 }.
% 107.31/107.77 (79042) {G10,W5,D2,L1,V1,M1} R(78952,222) { para( X, skol27, X, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 (79050) {G11,W8,D2,L2,V2,M2} R(79042,138) { ! midp( X, Y, Y ), midp( X,
% 107.31/107.77 skol27, skol27 ) }.
% 107.31/107.77 (80606) {G12,W8,D2,L2,V3,M2} R(79050,138);r(79041) { ! midp( X, Y, Y ),
% 107.31/107.77 midp( X, Z, Z ) }.
% 107.31/107.77 (80613) {G13,W12,D2,L3,V4,M3} R(80606,2024) { ! midp( X, Y, Y ), ! midp( X
% 107.31/107.77 , Z, T ), midp( Z, X, T ) }.
% 107.31/107.77 (80710) {G14,W6,D3,L1,V1,M1} R(80606,26554) { midp( skol7( skol27, skol27 )
% 107.31/107.77 , X, X ) }.
% 107.31/107.77 (80719) {G14,W8,D2,L2,V2,M2} F(80613) { ! midp( X, Y, Y ), midp( Y, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 (81109) {G15,W6,D3,L1,V1,M1} R(80719,80710) { midp( X, skol7( skol27,
% 107.31/107.77 skol27 ), X ) }.
% 107.31/107.77 (81266) {G16,W6,D3,L1,V1,M1} R(81109,10) { midp( X, X, skol7( skol27,
% 107.31/107.77 skol27 ) ) }.
% 107.31/107.77 (81269) {G17,W8,D2,L2,V3,M2} R(81266,2024) { ! midp( X, Y, Z ), midp( Y, X
% 107.31/107.77 , Z ) }.
% 107.31/107.77 (91623) {G18,W4,D2,L1,V0,M1} R(81269,342) { midp( skol27, skol24, skol25 )
% 107.31/107.77 }.
% 107.31/107.77 (91625) {G18,W4,D2,L1,V0,M1} R(81269,340) { midp( skol26, skol22, skol25 )
% 107.31/107.77 }.
% 107.31/107.77 (91693) {G20,W4,D2,L1,V0,M1} R(91623,40177) { midp( skol27, skol24, skol20
% 107.31/107.77 ) }.
% 107.31/107.77 (91699) {G23,W4,D2,L1,V0,M1} R(91623,45740) { midp( skol20, skol27, skol24
% 107.31/107.77 ) }.
% 107.31/107.77 (91847) {G21,W4,D2,L1,V0,M1} R(91693,81269) { midp( skol24, skol27, skol20
% 107.31/107.77 ) }.
% 107.31/107.77 (92050) {G22,W4,D2,L1,V0,M1} R(91847,10) { midp( skol24, skol20, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 (92062) {G23,W5,D2,L1,V0,M1} R(92050,2475) { cong( skol24, skol20, skol27,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 (92249) {G24,W5,D2,L1,V0,M1} R(91699,2475) { cong( skol20, skol27, skol24,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 (92892) {G20,W4,D2,L1,V0,M1} R(91625,40162) { midp( skol26, skol22, skol20
% 107.31/107.77 ) }.
% 107.31/107.77 (93188) {G21,W4,D2,L1,V0,M1} R(92892,81269) { midp( skol22, skol26, skol20
% 107.31/107.77 ) }.
% 107.31/107.77 (93362) {G22,W5,D2,L1,V0,M1} R(93188,68) { cong( skol22, skol26, skol22,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 (114118) {G25,W5,D2,L1,V0,M1} R(92249,527) { cong( skol24, skol20, skol24,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 (117468) {G24,W5,D2,L1,V0,M1} R(92062,2562) { cong( skol24, skol20, skol24
% 107.31/107.77 , skol25 ) }.
% 107.31/107.77 (117590) {G25,W15,D2,L3,V2,M3} R(117468,499) { ! cong( skol24, X, skol24,
% 107.31/107.77 skol20 ), ! cong( skol24, skol20, skol24, Y ), cyclic( skol20, skol25, X
% 107.31/107.77 , Y ) }.
% 107.31/107.77 (117594) {G25,W15,D2,L3,V2,M3} R(117468,498) { ! cong( skol24, X, skol24,
% 107.31/107.77 skol20 ), ! cong( skol24, skol20, skol24, Y ), cyclic( skol20, X, Y,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 (117638) {G26,W5,D2,L1,V0,M1} F(117594);r(114118) { cyclic( skol20, skol20
% 107.31/107.77 , skol20, skol25 ) }.
% 107.31/107.77 (117640) {G26,W5,D2,L1,V0,M1} F(117590);r(114118) { cyclic( skol20, skol25
% 107.31/107.77 , skol20, skol20 ) }.
% 107.31/107.77 (117802) {G27,W5,D2,L1,V0,M1} R(117640,410) { cyclic( skol25, skol20,
% 107.31/107.77 skol20, skol20 ) }.
% 107.31/107.77 (117834) {G27,W5,D2,L1,V0,M1} R(117638,411) { cyclic( skol20, skol20,
% 107.31/107.77 skol25, skol25 ) }.
% 107.31/107.77 (117998) {G28,W5,D2,L1,V0,M1} R(117834,380) { cyclic( skol25, skol20,
% 107.31/107.77 skol20, skol25 ) }.
% 107.31/107.77 (118008) {G29,W5,D2,L1,V0,M1} R(117998,989);r(117802) { cong( skol25,
% 107.31/107.77 skol20, skol25, skol20 ) }.
% 107.31/107.77 (124960) {G23,W5,D2,L1,V0,M1} R(2677,93362) { cyclic( skol26, skol20,
% 107.31/107.77 skol20, skol25 ) }.
% 107.31/107.77 (125052) {G24,W5,D2,L1,V0,M1} R(124960,382) { cyclic( skol20, skol26,
% 107.31/107.77 skol25, skol20 ) }.
% 107.31/107.77 (125069) {G25,W5,D2,L1,V0,M1} R(125052,411) { cyclic( skol25, skol26,
% 107.31/107.77 skol20, skol20 ) }.
% 107.31/107.77 (125099) {G26,W5,D2,L1,V0,M1} R(125069,371) { cyclic( skol25, skol20,
% 107.31/107.77 skol20, skol26 ) }.
% 107.31/107.77 (125141) {G27,W5,D2,L1,V0,M1} R(125099,381) { cyclic( skol20, skol20,
% 107.31/107.77 skol25, skol26 ) }.
% 107.31/107.77 (126323) {G28,W5,D2,L1,V0,M1} R(125141,411) { cyclic( skol25, skol20,
% 107.31/107.77 skol26, skol26 ) }.
% 107.31/107.77 (127223) {G29,W5,D2,L1,V0,M1} R(126323,380) { cyclic( skol26, skol25,
% 107.31/107.77 skol20, skol26 ) }.
% 107.31/107.77 (127250) {G30,W5,D2,L1,V0,M1} R(127223,371) { cyclic( skol26, skol20,
% 107.31/107.77 skol26, skol25 ) }.
% 107.31/107.77 (127271) {G31,W5,D2,L1,V0,M1} R(127250,411) { cyclic( skol26, skol20,
% 107.31/107.77 skol25, skol25 ) }.
% 107.31/107.77 (127322) {G32,W5,D2,L1,V0,M1} R(127271,380) { cyclic( skol25, skol26,
% 107.31/107.77 skol20, skol25 ) }.
% 107.31/107.77 (127340) {G33,W5,D2,L1,V0,M1} R(127322,371) { cyclic( skol25, skol20,
% 107.31/107.77 skol25, skol26 ) }.
% 107.31/107.77 (127381) {G34,W5,D2,L1,V0,M1} R(127340,380) { cyclic( skol25, skol25,
% 107.31/107.77 skol20, skol26 ) }.
% 107.31/107.77 (128737) {G35,W15,D2,L3,V2,M3} R(127381,1808);r(27498) { perp( skol20,
% 107.31/107.77 skol25, skol25, skol26 ), ! cong( skol25, skol20, X, Y ), ! cong( X, Y,
% 107.31/107.77 skol25, skol20 ) }.
% 107.31/107.77 (128765) {G36,W5,D2,L1,V0,M1} F(128737);r(118008) { perp( skol20, skol25,
% 107.31/107.77 skol25, skol26 ) }.
% 107.31/107.77 (128791) {G37,W5,D2,L1,V0,M1} R(128765,620) { para( skol26, skol27, skol25
% 107.31/107.77 , skol26 ) }.
% 107.31/107.77 (128901) {G38,W5,D2,L1,V0,M1} R(128791,223) { para( skol25, skol26, skol27
% 107.31/107.77 , skol26 ) }.
% 107.31/107.77 (128922) {G39,W4,D2,L1,V0,M1} R(128901,2069);r(128901) { midp( skol24,
% 107.31/107.77 skol26, skol26 ) }.
% 107.31/107.77 (129023) {G40,W4,D2,L1,V1,M1} R(128922,80606) { midp( skol24, X, X ) }.
% 107.31/107.77 (129117) {G41,W4,D2,L1,V1,M1} R(129023,81269) { midp( X, skol24, X ) }.
% 107.31/107.77 (129251) {G42,W5,D2,L1,V1,M1} R(129117,2475) { cong( X, skol24, X, X ) }.
% 107.31/107.77 (129351) {G42,W4,D2,L1,V1,M1} R(129117,10) { midp( X, X, skol24 ) }.
% 107.31/107.77 (129387) {G43,W5,D2,L1,V1,M1} R(129351,2475) { cong( X, X, skol24, X ) }.
% 107.31/107.77 (129824) {G44,W5,D2,L1,V1,M1} R(129387,1780) { perp( X, X, X, skol24 ) }.
% 107.31/107.77 (129936) {G45,W5,D2,L1,V1,M1} R(129824,292) { perp( skol24, X, X, X ) }.
% 107.31/107.77 (129947) {G46,W5,D2,L1,V1,M1} R(129936,2697);r(129251) { perp( X, skol24,
% 107.31/107.77 skol24, X ) }.
% 107.31/107.77 (130052) {G47,W5,D2,L1,V1,M1} R(129947,1714);r(129351) { cong( skol24, X,
% 107.31/107.77 skol24, skol24 ) }.
% 107.31/107.77 (130222) {G48,W15,D2,L3,V3,M3} R(130052,500) { ! cong( skol24, skol24,
% 107.31/107.77 skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic( skol24, X, Y, Z
% 107.31/107.77 ) }.
% 107.31/107.77 (130225) {G48,W15,D2,L3,V3,M3} R(130052,499) { ! cong( skol24, skol24,
% 107.31/107.77 skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic( skol24, X, Z, Y
% 107.31/107.77 ) }.
% 107.31/107.77 (130232) {G48,W5,D2,L1,V1,M1} R(130052,496) { cong( skol24, skol24, skol24
% 107.31/107.77 , X ) }.
% 107.31/107.77 (130272) {G49,W5,D2,L1,V2,M1} F(130225);r(130232) { cyclic( skol24, X, Y, X
% 107.31/107.77 ) }.
% 107.31/107.77 (130273) {G49,W5,D2,L1,V2,M1} F(130222);r(130232) { cyclic( skol24, X, X, Y
% 107.31/107.77 ) }.
% 107.31/107.77 (130318) {G50,W5,D2,L1,V3,M1} R(130273,406);r(130272) { cyclic( X, X, Y, Z
% 107.31/107.77 ) }.
% 107.31/107.77 (130362) {G51,W0,D0,L0,V0,M0} R(130318,582);r(130318) { }.
% 107.31/107.77
% 107.31/107.77
% 107.31/107.77 % SZS output end Refutation
% 107.31/107.77 found a proof!
% 107.31/107.77
% 107.31/107.77
% 107.31/107.77 Unprocessed initial clauses:
% 107.31/107.77
% 107.31/107.77 (130364) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 107.31/107.77 (130365) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 107.31/107.77 (130366) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 107.31/107.77 ( Y, Z, X ) }.
% 107.31/107.77 (130367) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 107.31/107.77 }.
% 107.31/107.77 (130368) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 (130369) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 107.31/107.77 , para( X, Y, Z, T ) }.
% 107.31/107.77 (130370) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 107.31/107.77 }.
% 107.31/107.77 (130371) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 (130372) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 107.31/107.77 , para( X, Y, Z, T ) }.
% 107.31/107.77 (130373) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 107.31/107.77 , perp( X, Y, Z, T ) }.
% 107.31/107.77 (130374) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 107.31/107.77 (130375) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 107.31/107.77 , circle( T, X, Y, Z ) }.
% 107.31/107.77 (130376) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 107.31/107.77 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 (130377) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 107.31/107.77 ) }.
% 107.31/107.77 (130378) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 107.31/107.77 ) }.
% 107.31/107.77 (130379) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 107.31/107.77 ) }.
% 107.31/107.77 (130380) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y
% 107.31/107.77 , T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 (130381) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 107.31/107.77 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 107.31/107.77 (130382) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 107.31/107.77 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 107.31/107.77 (130383) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 107.31/107.77 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 107.31/107.77 (130384) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 107.31/107.77 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 107.31/107.77 (130385) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ),
% 107.31/107.77 ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0
% 107.31/107.77 , V1 ) }.
% 107.31/107.77 (130386) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 107.31/107.77 }.
% 107.31/107.77 (130387) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 (130388) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 107.31/107.77 , cong( X, Y, Z, T ) }.
% 107.31/107.77 (130389) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 107.31/107.77 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 107.31/107.77 (130390) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 107.31/107.77 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 107.31/107.77 (130391) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 107.31/107.77 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 107.31/107.77 (130392) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 107.31/107.77 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 107.31/107.77 (130393) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ),
% 107.31/107.77 ! eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0
% 107.31/107.77 , V1 ) }.
% 107.31/107.77 (130394) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 107.31/107.77 , Z, T, U, W ) }.
% 107.31/107.77 (130395) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 107.31/107.77 , Z, T, U, W ) }.
% 107.31/107.77 (130396) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 107.31/107.77 , Z, T, U, W ) }.
% 107.31/107.77 (130397) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri
% 107.31/107.77 ( V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 107.31/107.77 (130398) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 107.31/107.77 , Z, T, U, W ) }.
% 107.31/107.77 (130399) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 107.31/107.77 , Z, T, U, W ) }.
% 107.31/107.77 (130400) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 107.31/107.77 , Z, T, U, W ) }.
% 107.31/107.77 (130401) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri
% 107.31/107.77 ( V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 107.31/107.77 (130402) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para
% 107.31/107.77 ( X, Y, Z, T ) }.
% 107.31/107.77 (130403) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W
% 107.31/107.77 , Z, T, U, W ) }.
% 107.31/107.77 (130404) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z,
% 107.31/107.77 Y, T, X, T, Y ) }.
% 107.31/107.77 (130405) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll
% 107.31/107.77 ( Z, T, X ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 (130406) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), !
% 107.31/107.77 coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 (130407) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U
% 107.31/107.77 , T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong
% 107.31/107.77 ( X, Y, Z, T ) }.
% 107.31/107.77 (130408) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 107.31/107.77 ( Z, T, X, Y ) }.
% 107.31/107.77 (130409) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 107.31/107.77 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 107.31/107.77 (130410) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y
% 107.31/107.77 , X, Y, Z, Y ) }.
% 107.31/107.77 (130411) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll
% 107.31/107.77 ( Z, X, Y ), cong( Z, X, Z, Y ) }.
% 107.31/107.77 (130412) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 107.31/107.77 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 107.31/107.77 (130413) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 107.31/107.77 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 107.31/107.77 (130414) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z )
% 107.31/107.77 , eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 107.31/107.77 (130415) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y )
% 107.31/107.77 , ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 107.31/107.77 (130416) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 107.31/107.77 cong( X, Z, Y, Z ) }.
% 107.31/107.77 (130417) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z )
% 107.31/107.77 , perp( X, Y, Y, Z ) }.
% 107.31/107.77 (130418) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 107.31/107.77 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 107.31/107.77 (130419) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 107.31/107.77 cong( Z, X, Z, Y ) }.
% 107.31/107.77 (130420) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 107.31/107.77 , perp( X, Y, Z, T ) }.
% 107.31/107.77 (130421) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 107.31/107.77 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 107.31/107.77 (130422) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 107.31/107.77 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 107.31/107.77 , W ) }.
% 107.31/107.77 (130423) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X,
% 107.31/107.77 Y, X, Z, T, U, T, W ) }.
% 107.31/107.77 (130424) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X,
% 107.31/107.77 Y, Y, Z, T, U, U, W ) }.
% 107.31/107.77 (130425) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 107.31/107.77 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 107.31/107.77 (130426) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y,
% 107.31/107.77 Z, T ) }.
% 107.31/107.77 (130427) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 107.31/107.77 ( X, Z, Y, T ) }.
% 107.31/107.77 (130428) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 107.31/107.77 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 107.31/107.77 (130429) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 107.31/107.77 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 107.31/107.77 (130430) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 107.31/107.77 (130431) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 107.31/107.77 midp( X, Y, Z ) }.
% 107.31/107.77 (130432) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 107.31/107.77 (130433) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 107.31/107.77 (130434) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 107.31/107.77 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 107.31/107.77 (130435) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para
% 107.31/107.77 ( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 107.31/107.77 (130436) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp
% 107.31/107.77 ( X, Y, Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 (130437) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 107.31/107.77 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 107.31/107.77 (130438) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 107.31/107.77 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 107.31/107.77 (130439) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 107.31/107.77 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 107.31/107.77 (130440) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y,
% 107.31/107.77 Z, Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 107.31/107.77 (130441) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y,
% 107.31/107.77 Z, Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 107.31/107.77 (130442) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z,
% 107.31/107.77 T, Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 107.31/107.77 (130443) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z,
% 107.31/107.77 T, Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 107.31/107.77 (130444) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z,
% 107.31/107.77 T, Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 107.31/107.77 (130445) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z,
% 107.31/107.77 T, Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 107.31/107.77 (130446) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 107.31/107.77 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 107.31/107.77 (130447) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 107.31/107.77 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 107.31/107.77 (130448) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll
% 107.31/107.77 ( X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 107.31/107.77 (130449) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll
% 107.31/107.77 ( X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y
% 107.31/107.77 , Z, T ) ) }.
% 107.31/107.77 (130450) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 107.31/107.77 midp( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 107.31/107.77 (130451) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 107.31/107.77 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 107.31/107.77 (130452) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 107.31/107.77 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 107.31/107.77 (130453) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 107.31/107.77 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 107.31/107.77 (130454) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 107.31/107.77 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 107.31/107.77 ) }.
% 107.31/107.77 (130455) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 107.31/107.77 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 107.31/107.77 }.
% 107.31/107.77 (130456) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 107.31/107.77 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 107.31/107.77 (130457) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 107.31/107.77 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 107.31/107.77 (130458) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 107.31/107.77 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 107.31/107.77 (130459) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 107.31/107.77 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 107.31/107.77 (130460) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 107.31/107.77 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 107.31/107.77 (130461) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 107.31/107.77 , alpha1( X, Y, Z ) }.
% 107.31/107.77 (130462) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 107.31/107.77 ), Z, X ) }.
% 107.31/107.77 (130463) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 107.31/107.77 , Z ), Z, X ) }.
% 107.31/107.77 (130464) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 107.31/107.77 alpha1( X, Y, Z ) }.
% 107.31/107.77 (130465) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 107.31/107.77 ), X, X, Y ) }.
% 107.31/107.77 (130466) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 107.31/107.77 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 107.31/107.77 ) ) }.
% 107.31/107.77 (130467) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 107.31/107.77 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 107.31/107.77 (130468) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 107.31/107.77 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 107.31/107.77 }.
% 107.31/107.77 (130469) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 107.31/107.77 (130470) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 107.31/107.77 }.
% 107.31/107.77 (130471) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 107.31/107.77 alpha2( X, Y, Z, T ) }.
% 107.31/107.77 (130472) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 107.31/107.77 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 107.31/107.77 (130473) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 107.31/107.77 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 107.31/107.77 (130474) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 107.31/107.77 coll( skol16( W, Y, Z ), Y, Z ) }.
% 107.31/107.77 (130475) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 107.31/107.77 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 107.31/107.77 (130476) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 107.31/107.77 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 107.31/107.77 (130477) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 107.31/107.77 , coll( X, Y, skol18( X, Y ) ) }.
% 107.31/107.77 (130478) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 107.31/107.77 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 107.31/107.77 (130479) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 107.31/107.77 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 107.31/107.77 }.
% 107.31/107.77 (130480) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 107.31/107.77 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 107.31/107.77 }.
% 107.31/107.77 (130481) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol26, skol27 ) }.
% 107.31/107.77 (130482) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol27 ) }.
% 107.31/107.77 (130483) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol25, skol26 ) }.
% 107.31/107.77 (130484) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol27, skol26 ) }.
% 107.31/107.77 (130485) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol25, skol27 ) }.
% 107.31/107.77 (130486) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23, skol24 )
% 107.31/107.77 }.
% 107.31/107.77
% 107.31/107.77
% 107.31/107.77 Total Proof:
% 107.31/107.77
% 107.31/107.77 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent0: (130364) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 parent0: (130365) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 107.31/107.77 Z ), coll( Y, Z, X ) }.
% 107.31/107.77 parent0: (130366) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T,
% 107.31/107.77 Z ), coll( Y, Z, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 parent0: (130367) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 parent0: (130368) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 107.31/107.77 W, Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 parent0: (130369) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U,
% 107.31/107.77 W, Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 W := W
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 parent0: (130370) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 parent0: (130371) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 107.31/107.77 W, Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 parent0: (130372) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U,
% 107.31/107.77 W, Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 W := W
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 107.31/107.77 ) }.
% 107.31/107.77 parent0: (130374) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 107.31/107.77 , X, T, Z ), circle( T, X, Y, Z ) }.
% 107.31/107.77 parent0: (130375) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T,
% 107.31/107.77 X, T, Z ), circle( T, X, Y, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 107.31/107.77 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 parent0: (130376) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U,
% 107.31/107.77 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 3 ==> 3
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 107.31/107.77 X, Y, T, Z ) }.
% 107.31/107.77 parent0: (130377) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 107.31/107.77 X, Z, Y, T ) }.
% 107.31/107.77 parent0: (130378) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 107.31/107.77 Y, X, Z, T ) }.
% 107.31/107.77 parent0: (130379) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 107.31/107.77 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 parent0: (130380) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic
% 107.31/107.77 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 parent0: (130386) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 parent0: (130387) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 107.31/107.77 , W, Z, T ), cong( X, Y, Z, T ) }.
% 107.31/107.77 parent0: (130388) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U,
% 107.31/107.77 W, Z, T ), cong( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 W := W
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 107.31/107.77 ( Z, X, Z, Y, T, X, T, Y ) }.
% 107.31/107.77 parent0: (130404) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle(
% 107.31/107.77 Z, X, Z, Y, T, X, T, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 107.31/107.77 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 107.31/107.77 ), cong( X, Y, Z, T ) }.
% 107.31/107.77 parent0: (130407) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic
% 107.31/107.77 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 107.31/107.77 ), cong( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 W := W
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 3 ==> 3
% 107.31/107.77 4 ==> 4
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z
% 107.31/107.77 , T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 107.31/107.77 parent0: (130409) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z,
% 107.31/107.77 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 3 ==> 3
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 107.31/107.77 , X, X, Y, X, Y, Z, Y ) }.
% 107.31/107.77 parent0: (130410) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z
% 107.31/107.77 , X, X, Y, X, Y, Z, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 107.31/107.77 T, X, Z ), perp( X, Y, Y, Z ) }.
% 107.31/107.77 parent0: (130417) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 107.31/107.77 , X, Z ), perp( X, Y, Y, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T
% 107.31/107.77 , X, Y ), cong( Z, X, Z, Y ) }.
% 107.31/107.77 parent0: (130419) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T,
% 107.31/107.77 X, Y ), cong( Z, X, Z, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 107.31/107.77 , T, Y, T ), perp( X, Y, Z, T ) }.
% 107.31/107.77 parent0: (130420) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X,
% 107.31/107.77 T, Y, T ), perp( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 107.31/107.77 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 107.31/107.77 parent0: (130421) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X,
% 107.31/107.77 Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 3 ==> 3
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 107.31/107.77 , T ), para( X, Z, Y, T ) }.
% 107.31/107.77 parent0: (130427) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z,
% 107.31/107.77 T ), para( X, Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 107.31/107.77 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 107.31/107.77 parent0: (130428) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X,
% 107.31/107.77 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 3 ==> 3
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 107.31/107.77 , Z ) }.
% 107.31/107.77 parent0: (130432) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X,
% 107.31/107.77 Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 107.31/107.77 ) }.
% 107.31/107.77 parent0: (130433) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 107.31/107.77 , V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 107.31/107.77 parent0: (130438) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 107.31/107.77 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 W := W
% 107.31/107.77 V0 := V0
% 107.31/107.77 V1 := V1
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 107.31/107.77 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 107.31/107.77 ) }.
% 107.31/107.77 parent0: (130453) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T,
% 107.31/107.77 U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 W := W
% 107.31/107.77 V0 := V0
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 3 ==> 3
% 107.31/107.77 4 ==> 4
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 107.31/107.77 skol12( X, Y ), X, X, Y ) }.
% 107.31/107.77 parent0: (130465) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 107.31/107.77 skol12( X, Y ), X, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol26,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0: (130481) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol26,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol26, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 parent0: (130482) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol25, skol26 )
% 107.31/107.77 }.
% 107.31/107.77 parent0: (130483) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol25, skol26 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol27, skol26 )
% 107.31/107.77 }.
% 107.31/107.77 parent0: (130484) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol27, skol26 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol25, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 parent0: (130485) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol25, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol22, skol20, skol23
% 107.31/107.77 , skol24 ) }.
% 107.31/107.77 parent0: (130486) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131231) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 107.31/107.77 , Z ), coll( Y, Z, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Z
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 107.31/107.77 , X ) }.
% 107.31/107.77 parent0: (131231) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131232) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 107.31/107.77 , Z, Z ) }.
% 107.31/107.77 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 107.31/107.77 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Z
% 107.31/107.77 T := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 107.31/107.77 circle( X, Y, Z, Z ) }.
% 107.31/107.77 parent0: (131232) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X,
% 107.31/107.77 Y, Z, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131235) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 107.31/107.77 , X, T ), cyclic( Y, Z, T, T ) }.
% 107.31/107.77 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 107.31/107.77 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := T
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (127) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 107.31/107.77 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 107.31/107.77 parent0: (131235) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X,
% 107.31/107.77 Y, X, T ), cyclic( Y, Z, T, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131237) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 107.31/107.77 , Z, Z ) }.
% 107.31/107.77 parent0[0, 1]: (127) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 107.31/107.77 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (128) {G2,W10,D2,L2,V3,M2} F(127) { ! cong( X, Y, X, Z ),
% 107.31/107.77 cyclic( Y, Z, Z, Z ) }.
% 107.31/107.77 parent0: (131237) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y,
% 107.31/107.77 Z, Z, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131238) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , Z, T, T ) }.
% 107.31/107.77 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 107.31/107.77 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := T
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (129) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 107.31/107.77 cyclic( Y, Z, T, T ) }.
% 107.31/107.77 parent0: (131238) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , Z, T, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131239) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 107.31/107.77 , T ), midp( X, T, T ) }.
% 107.31/107.77 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 107.31/107.77 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := T
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 U := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 107.31/107.77 Y, T, Z, T ), midp( X, T, T ) }.
% 107.31/107.77 parent0: (131239) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T,
% 107.31/107.77 Z, T ), midp( X, T, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131240) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 107.31/107.77 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 107.31/107.77 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 107.31/107.77 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 107.31/107.77 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 U := Z
% 107.31/107.77 W := X
% 107.31/107.77 V0 := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 107.31/107.77 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 107.31/107.77 parent0: (131240) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y,
% 107.31/107.77 Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 3 ==> 3
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131243) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! midp( X, Y,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (160) {G1,W8,D2,L2,V3,M2} R(69,0) { ! midp( X, Y, Z ), coll( X
% 107.31/107.77 , Z, Y ) }.
% 107.31/107.77 parent0: (131243) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! midp( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131244) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol27, skol26 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol27, skol26 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol23
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := skol26
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (162) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol23, skol27,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 parent0: (131244) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol27, skol26 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131245) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol25, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (163) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol24, skol25,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0: (131245) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131246) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (166) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y
% 107.31/107.77 , X, Z ) }.
% 107.31/107.77 parent0: (131246) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131247) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z,
% 107.31/107.77 Y ) }.
% 107.31/107.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 107.31/107.77 , Z, X ) }.
% 107.31/107.77 parent0: (131247) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131249) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 107.31/107.77 , Z, X ) }.
% 107.31/107.77 parent0: (131249) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131251) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T
% 107.31/107.77 , X ), ! coll( X, T, Y ) }.
% 107.31/107.77 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 107.31/107.77 ), coll( Y, Z, X ) }.
% 107.31/107.77 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := T
% 107.31/107.77 Z := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( Z
% 107.31/107.77 , T, X ), ! coll( X, T, Y ) }.
% 107.31/107.77 parent0: (131251) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T, X
% 107.31/107.77 ), ! coll( X, T, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131256) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T
% 107.31/107.77 , X ), ! coll( Z, T, Y ) }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 107.31/107.77 ), coll( Y, Z, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Y
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 107.31/107.77 ( X, Y, T ), coll( Z, X, T ) }.
% 107.31/107.77 parent0: (131256) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X
% 107.31/107.77 ), ! coll( Z, T, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 2
% 107.31/107.77 1 ==> 0
% 107.31/107.77 2 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131258) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0, 1]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 107.31/107.77 coll( X, Y, T ), coll( Z, X, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (197) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z
% 107.31/107.77 , X, Z ) }.
% 107.31/107.77 parent0: (131258) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131259) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (162) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol23, skol27,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol23
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := skol26
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (215) {G2,W4,D2,L1,V0,M1} R(162,0) { coll( skol23, skol26,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0: (131259) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131260) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 107.31/107.77 T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := T
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (222) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 107.31/107.77 ( Z, T, Y, X ) }.
% 107.31/107.77 parent0: (131260) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131262) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z
% 107.31/107.77 , T, X, Y ) }.
% 107.31/107.77 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 107.31/107.77 T, Z ) }.
% 107.31/107.77 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 107.31/107.77 ( Z, T, Y, X ) }.
% 107.31/107.77 parent0: (131262) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131263) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (163) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol24, skol25,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (233) {G2,W4,D2,L1,V0,M1} R(163,1) { coll( skol25, skol24,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0: (131263) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131264) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol27, skol25 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (163) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol24, skol25,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (234) {G2,W4,D2,L1,V0,M1} R(163,0) { coll( skol24, skol27,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0: (131264) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol27, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131265) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X
% 107.31/107.77 , Y, U, W ), ! para( Z, T, X, Y ) }.
% 107.31/107.77 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 107.31/107.77 , Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := U
% 107.31/107.77 T := W
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (236) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 107.31/107.77 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 107.31/107.77 parent0: (131265) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y
% 107.31/107.77 , U, W ), ! para( Z, T, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := U
% 107.31/107.77 Y := W
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131269) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 107.31/107.77 Z, T ) }.
% 107.31/107.77 parent0[0, 2]: (236) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 107.31/107.77 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (242) {G2,W10,D2,L2,V4,M2} F(236) { ! para( X, Y, Z, T ), para
% 107.31/107.77 ( Z, T, Z, T ) }.
% 107.31/107.77 parent0: (131269) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T
% 107.31/107.77 , Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131270) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol24 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (233) {G2,W4,D2,L1,V0,M1} R(163,1) { coll( skol25, skol24,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol25
% 107.31/107.77 Y := skol24
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (245) {G3,W4,D2,L1,V0,M1} R(233,0) { coll( skol25, skol27,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 parent0: (131270) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131271) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol24 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (245) {G3,W4,D2,L1,V0,M1} R(233,0) { coll( skol25, skol27,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol25
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := skol24
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (248) {G4,W4,D2,L1,V0,M1} R(245,1) { coll( skol27, skol25,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 parent0: (131271) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131272) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol24, skol25 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (248) {G4,W4,D2,L1,V0,M1} R(245,1) { coll( skol27, skol25,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol27
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol24
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (251) {G5,W4,D2,L1,V0,M1} R(248,0) { coll( skol27, skol24,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0: (131272) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol24, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131273) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol27,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 107.31/107.77 T, Z ) }.
% 107.31/107.77 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol26,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol20
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol26
% 107.31/107.77 T := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (254) {G1,W5,D2,L1,V0,M1} R(6,116) { perp( skol20, skol25,
% 107.31/107.77 skol27, skol26 ) }.
% 107.31/107.77 parent0: (131273) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol27,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131274) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol25 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 107.31/107.77 X, Z ) }.
% 107.31/107.77 parent1[0]: (251) {G5,W4,D2,L1,V0,M1} R(248,0) { coll( skol27, skol24,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol27
% 107.31/107.77 Y := skol24
% 107.31/107.77 Z := skol25
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (259) {G6,W4,D2,L1,V0,M1} R(197,251) { coll( skol25, skol27,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0: (131274) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131275) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 107.31/107.77 X, Z ) }.
% 107.31/107.77 parent1[0]: (233) {G2,W4,D2,L1,V0,M1} R(163,1) { coll( skol25, skol24,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol25
% 107.31/107.77 Y := skol24
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (262) {G3,W4,D2,L1,V0,M1} R(197,233) { coll( skol27, skol25,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0: (131275) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131276) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T
% 107.31/107.77 , X ), ! coll( Z, T, Y ) }.
% 107.31/107.77 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 107.31/107.77 X, Z ) }.
% 107.31/107.77 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 107.31/107.77 ), coll( Y, Z, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Y
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (273) {G3,W12,D2,L3,V4,M3} R(197,2) { coll( X, Y, X ), ! coll
% 107.31/107.77 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 107.31/107.77 parent0: (131276) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X
% 107.31/107.77 ), ! coll( Z, T, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := X
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131278) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 107.31/107.77 X, Z ) }.
% 107.31/107.77 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol26, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol20
% 107.31/107.77 Y := skol26
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (285) {G3,W4,D2,L1,V0,M1} R(197,117) { coll( skol27, skol20,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0: (131278) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131279) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent0[1, 2]: (273) {G3,W12,D2,L3,V4,M3} R(197,2) { coll( X, Y, X ), !
% 107.31/107.77 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (286) {G4,W8,D2,L2,V3,M2} F(273) { coll( X, Y, X ), ! coll( X
% 107.31/107.77 , Z, Y ) }.
% 107.31/107.77 parent0: (131279) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131280) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 107.31/107.77 T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := T
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (292) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 107.31/107.77 ( Z, T, Y, X ) }.
% 107.31/107.77 parent0: (131280) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131281) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol26,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol20
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol26
% 107.31/107.77 T := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (294) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol26, skol27,
% 107.31/107.77 skol20, skol25 ) }.
% 107.31/107.77 parent0: (131281) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131282) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X
% 107.31/107.77 , Y, U, W ), ! perp( Z, T, X, Y ) }.
% 107.31/107.77 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 107.31/107.77 , Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := U
% 107.31/107.77 T := W
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (301) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 107.31/107.77 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 107.31/107.77 parent0: (131282) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y
% 107.31/107.77 , U, W ), ! perp( Z, T, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := U
% 107.31/107.77 Y := W
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131287) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X
% 107.31/107.77 , Y, U, W ), ! perp( U, W, Z, T ) }.
% 107.31/107.77 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 107.31/107.77 , Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := U
% 107.31/107.77 T := W
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := U
% 107.31/107.77 Y := W
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (302) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 107.31/107.77 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 107.31/107.77 parent0: (131287) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y
% 107.31/107.77 , U, W ), ! perp( U, W, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 W := W
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131290) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol26, X, Y )
% 107.31/107.77 , para( skol20, skol25, X, Y ) }.
% 107.31/107.77 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 107.31/107.77 , Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 parent1[0]: (254) {G1,W5,D2,L1,V0,M1} R(6,116) { perp( skol20, skol25,
% 107.31/107.77 skol27, skol26 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol20
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 U := skol27
% 107.31/107.77 W := skol26
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (303) {G2,W10,D2,L2,V2,M2} R(8,254) { ! perp( skol27, skol26,
% 107.31/107.77 X, Y ), para( skol20, skol25, X, Y ) }.
% 107.31/107.77 parent0: (131290) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol26, X, Y ),
% 107.31/107.77 para( skol20, skol25, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131292) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 parent0[0, 2]: (302) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 107.31/107.77 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := X
% 107.31/107.77 W := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (314) {G2,W10,D2,L2,V4,M2} F(302) { ! perp( X, Y, Z, T ), para
% 107.31/107.77 ( X, Y, X, Y ) }.
% 107.31/107.77 parent0: (131292) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131293) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T,
% 107.31/107.77 Z, T ) }.
% 107.31/107.77 parent0[0, 2]: (301) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 107.31/107.77 para( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (315) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para
% 107.31/107.77 ( Z, T, Z, T ) }.
% 107.31/107.77 parent0: (131293) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T
% 107.31/107.77 , Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131294) {G1,W4,D2,L1,V0,M1} { midp( skol22, skol26, skol25 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol25, skol26 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol26
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol22
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (340) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol22, skol26,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0: (131294) {G1,W4,D2,L1,V0,M1} { midp( skol22, skol26, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131295) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol27, skol26 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol26
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := skol23
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (341) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol23, skol26,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0: (131295) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131296) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol25 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol25, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol27
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol24
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (342) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol24, skol27,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0: (131296) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131297) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol25 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (262) {G3,W4,D2,L1,V0,M1} R(197,233) { coll( skol27, skol25,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol27
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (348) {G4,W4,D2,L1,V0,M1} R(262,0) { coll( skol27, skol27,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0: (131297) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131299) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 107.31/107.77 ( X, Z, Y, T ) }.
% 107.31/107.77 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Y
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (371) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 107.31/107.77 cyclic( X, Z, T, Y ) }.
% 107.31/107.77 parent0: (131299) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Y
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131300) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 107.31/107.77 ( X, Z, Y, T ) }.
% 107.31/107.77 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Y
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (380) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 107.31/107.77 cyclic( Y, Z, X, T ) }.
% 107.31/107.77 parent0: (131300) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131302) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 107.31/107.77 ( Y, X, Z, T ) }.
% 107.31/107.77 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (381) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 107.31/107.77 cyclic( Y, Z, X, T ) }.
% 107.31/107.77 parent0: (131302) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131303) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 107.31/107.77 ( X, Y, T, Z ) }.
% 107.31/107.77 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := T
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (382) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 107.31/107.77 cyclic( Y, X, T, Z ) }.
% 107.31/107.77 parent0: (131303) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131304) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22,
% 107.31/107.77 skol23, skol24 ) }.
% 107.31/107.77 parent0[0]: (121) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol22, skol20, skol23
% 107.31/107.77 , skol24 ) }.
% 107.31/107.77 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol20
% 107.31/107.77 Y := skol22
% 107.31/107.77 Z := skol23
% 107.31/107.77 T := skol24
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (384) {G1,W5,D2,L1,V0,M1} R(15,121) { ! cyclic( skol20, skol22
% 107.31/107.77 , skol23, skol24 ) }.
% 107.31/107.77 parent0: (131304) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131308) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 107.31/107.77 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 107.31/107.77 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 107.31/107.77 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (401) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 107.31/107.77 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 107.31/107.77 parent0: (131308) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 107.31/107.77 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := U
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 2
% 107.31/107.77 1 ==> 0
% 107.31/107.77 2 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131313) {G1,W15,D2,L3,V5,M3} { cyclic( X, Z, Y, T ), ! cyclic
% 107.31/107.77 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 107.31/107.77 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 107.31/107.77 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (404) {G1,W15,D2,L3,V5,M3} R(16,14) { ! cyclic( X, Y, Z, T ),
% 107.31/107.77 ! cyclic( X, Y, Z, U ), cyclic( Y, T, Z, U ) }.
% 107.31/107.77 parent0: (131313) {G1,W15,D2,L3,V5,M3} { cyclic( X, Z, Y, T ), ! cyclic( U
% 107.31/107.77 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := U
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 2
% 107.31/107.77 1 ==> 0
% 107.31/107.77 2 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131316) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 107.31/107.77 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 107.31/107.77 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 107.31/107.77 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := U
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := U
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (406) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 107.31/107.77 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 107.31/107.77 parent0: (131316) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131318) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , T, Z, T ) }.
% 107.31/107.77 parent0[0, 1]: (404) {G1,W15,D2,L3,V5,M3} R(16,14) { ! cyclic( X, Y, Z, T )
% 107.31/107.77 , ! cyclic( X, Y, Z, U ), cyclic( Y, T, Z, U ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (410) {G2,W10,D2,L2,V4,M2} F(404) { ! cyclic( X, Y, Z, T ),
% 107.31/107.77 cyclic( Y, T, Z, T ) }.
% 107.31/107.77 parent0: (131318) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , T, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131319) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 107.31/107.77 , Y, T, T ) }.
% 107.31/107.77 parent0[0, 1]: (401) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 107.31/107.77 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (411) {G2,W10,D2,L2,V4,M2} F(401) { ! cyclic( X, Y, Z, T ),
% 107.31/107.77 cyclic( Z, Y, T, T ) }.
% 107.31/107.77 parent0: (131319) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 107.31/107.77 , Y, T, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131320) {G1,W10,D2,L2,V4,M2} { cong( Z, T, X, Y ), ! cong( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := T
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (496) {G1,W10,D2,L2,V4,M2} R(23,22) { cong( X, Y, Z, T ), !
% 107.31/107.77 cong( Z, T, Y, X ) }.
% 107.31/107.77 parent0: (131320) {G1,W10,D2,L2,V4,M2} { cong( Z, T, X, Y ), ! cong( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131321) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, T ), ! cong(
% 107.31/107.77 X, Y, X, U ), cyclic( Y, Z, T, U ), ! cong( X, Z, X, Y ) }.
% 107.31/107.77 parent0[0]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 107.31/107.77 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := U
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (498) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 107.31/107.77 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 107.31/107.77 parent0: (131321) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, T ), ! cong( X,
% 107.31/107.77 Y, X, U ), cyclic( Y, Z, T, U ), ! cong( X, Z, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Y
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 2
% 107.31/107.77 2 ==> 3
% 107.31/107.77 3 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131332) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong(
% 107.31/107.77 X, Y, X, U ), cyclic( Y, Z, T, U ), ! cong( X, T, X, Y ) }.
% 107.31/107.77 parent0[1]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 107.31/107.77 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := U
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (499) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 107.31/107.77 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 107.31/107.77 parent0: (131332) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong( X,
% 107.31/107.77 Y, X, U ), cyclic( Y, Z, T, U ), ! cong( X, T, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := Y
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 2
% 107.31/107.77 2 ==> 3
% 107.31/107.77 3 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131343) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong(
% 107.31/107.77 X, Y, X, T ), cyclic( Y, Z, T, U ), ! cong( X, U, X, Y ) }.
% 107.31/107.77 parent0[2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 107.31/107.77 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := U
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := U
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (500) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 107.31/107.77 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, U, Y ) }.
% 107.31/107.77 parent0: (131343) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong( X,
% 107.31/107.77 Y, X, T ), cyclic( Y, Z, T, U ), ! cong( X, U, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := U
% 107.31/107.77 U := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 2
% 107.31/107.77 2 ==> 3
% 107.31/107.77 3 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131351) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X
% 107.31/107.77 , Y, U, W ), ! cong( Z, T, X, Y ) }.
% 107.31/107.77 parent0[0]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 107.31/107.77 W, Z, T ), cong( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := U
% 107.31/107.77 T := W
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := T
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (514) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 107.31/107.77 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 107.31/107.77 parent0: (131351) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X, Y
% 107.31/107.77 , U, W ), ! cong( Z, T, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := U
% 107.31/107.77 Y := W
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131355) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 107.31/107.77 Z, T ) }.
% 107.31/107.77 parent0[0, 2]: (514) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 107.31/107.77 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (527) {G2,W10,D2,L2,V4,M2} F(514) { ! cong( X, Y, Z, T ), cong
% 107.31/107.77 ( Z, T, Z, T ) }.
% 107.31/107.77 parent0: (131355) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131356) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol20 )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (285) {G3,W4,D2,L1,V0,M1} R(197,117) { coll( skol27, skol20,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol27
% 107.31/107.77 Y := skol20
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (538) {G4,W4,D2,L1,V0,M1} R(285,0) { coll( skol27, skol27,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 parent0: (131356) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol20 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131357) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ),
% 107.31/107.77 coll( skol20, X, skol27 ) }.
% 107.31/107.77 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 107.31/107.77 ), coll( Y, Z, X ) }.
% 107.31/107.77 parent1[0]: (538) {G4,W4,D2,L1,V0,M1} R(285,0) { coll( skol27, skol27,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol27
% 107.31/107.77 Y := skol20
% 107.31/107.77 Z := X
% 107.31/107.77 T := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (540) {G5,W8,D2,L2,V1,M2} R(538,2) { ! coll( skol27, skol27, X
% 107.31/107.77 ), coll( skol20, X, skol27 ) }.
% 107.31/107.77 parent0: (131357) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ), coll
% 107.31/107.77 ( skol20, X, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131359) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23,
% 107.31/107.77 skol22, skol24 ) }.
% 107.31/107.77 parent0[0]: (384) {G1,W5,D2,L1,V0,M1} R(15,121) { ! cyclic( skol20, skol22
% 107.31/107.77 , skol23, skol24 ) }.
% 107.31/107.77 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol20
% 107.31/107.77 Y := skol23
% 107.31/107.77 Z := skol22
% 107.31/107.77 T := skol24
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (543) {G2,W5,D2,L1,V0,M1} R(384,14) { ! cyclic( skol20, skol23
% 107.31/107.77 , skol22, skol24 ) }.
% 107.31/107.77 parent0: (131359) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol22,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131360) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20,
% 107.31/107.77 skol22, skol24 ) }.
% 107.31/107.77 parent0[0]: (543) {G2,W5,D2,L1,V0,M1} R(384,14) { ! cyclic( skol20, skol23
% 107.31/107.77 , skol22, skol24 ) }.
% 107.31/107.77 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol23
% 107.31/107.77 Y := skol20
% 107.31/107.77 Z := skol22
% 107.31/107.77 T := skol24
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (549) {G3,W5,D2,L1,V0,M1} R(543,15) { ! cyclic( skol23, skol20
% 107.31/107.77 , skol22, skol24 ) }.
% 107.31/107.77 parent0: (131360) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol22,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131361) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22,
% 107.31/107.77 skol20, skol24 ) }.
% 107.31/107.77 parent0[0]: (549) {G3,W5,D2,L1,V0,M1} R(543,15) { ! cyclic( skol23, skol20
% 107.31/107.77 , skol22, skol24 ) }.
% 107.31/107.77 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol23
% 107.31/107.77 Y := skol22
% 107.31/107.77 Z := skol20
% 107.31/107.77 T := skol24
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (552) {G4,W5,D2,L1,V0,M1} R(549,14) { ! cyclic( skol23, skol22
% 107.31/107.77 , skol20, skol24 ) }.
% 107.31/107.77 parent0: (131361) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol20,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131362) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22,
% 107.31/107.77 skol24, skol20 ) }.
% 107.31/107.77 parent0[0]: (552) {G4,W5,D2,L1,V0,M1} R(549,14) { ! cyclic( skol23, skol22
% 107.31/107.77 , skol20, skol24 ) }.
% 107.31/107.77 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol23
% 107.31/107.77 Y := skol22
% 107.31/107.77 Z := skol24
% 107.31/107.77 T := skol20
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (556) {G5,W5,D2,L1,V0,M1} R(552,13) { ! cyclic( skol23, skol22
% 107.31/107.77 , skol24, skol20 ) }.
% 107.31/107.77 parent0: (131362) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol24,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131363) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23,
% 107.31/107.77 skol24, skol20 ) }.
% 107.31/107.77 parent0[0]: (556) {G5,W5,D2,L1,V0,M1} R(552,13) { ! cyclic( skol23, skol22
% 107.31/107.77 , skol24, skol20 ) }.
% 107.31/107.77 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol22
% 107.31/107.77 Y := skol23
% 107.31/107.77 Z := skol24
% 107.31/107.77 T := skol20
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (557) {G6,W5,D2,L1,V0,M1} R(556,15) { ! cyclic( skol22, skol23
% 107.31/107.77 , skol24, skol20 ) }.
% 107.31/107.77 parent0: (131363) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol24,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131364) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24,
% 107.31/107.77 skol23, skol20 ) }.
% 107.31/107.77 parent0[0]: (557) {G6,W5,D2,L1,V0,M1} R(556,15) { ! cyclic( skol22, skol23
% 107.31/107.77 , skol24, skol20 ) }.
% 107.31/107.77 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol22
% 107.31/107.77 Y := skol24
% 107.31/107.77 Z := skol23
% 107.31/107.77 T := skol20
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (563) {G7,W5,D2,L1,V0,M1} R(557,14) { ! cyclic( skol22, skol24
% 107.31/107.77 , skol23, skol20 ) }.
% 107.31/107.77 parent0: (131364) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol23,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131365) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22,
% 107.31/107.77 skol23, skol20 ) }.
% 107.31/107.77 parent0[0]: (563) {G7,W5,D2,L1,V0,M1} R(557,14) { ! cyclic( skol22, skol24
% 107.31/107.77 , skol23, skol20 ) }.
% 107.31/107.77 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol22
% 107.31/107.77 Z := skol23
% 107.31/107.77 T := skol20
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (565) {G8,W5,D2,L1,V0,M1} R(563,15) { ! cyclic( skol24, skol22
% 107.31/107.77 , skol23, skol20 ) }.
% 107.31/107.77 parent0: (131365) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22, skol23,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131366) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23,
% 107.31/107.77 skol22, skol20 ) }.
% 107.31/107.77 parent0[0]: (565) {G8,W5,D2,L1,V0,M1} R(563,15) { ! cyclic( skol24, skol22
% 107.31/107.77 , skol23, skol20 ) }.
% 107.31/107.77 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol23
% 107.31/107.77 Z := skol22
% 107.31/107.77 T := skol20
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (568) {G9,W5,D2,L1,V0,M1} R(565,14) { ! cyclic( skol24, skol23
% 107.31/107.77 , skol22, skol20 ) }.
% 107.31/107.77 parent0: (131366) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol22,
% 107.31/107.77 skol20 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131367) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23,
% 107.31/107.77 skol20, skol22 ) }.
% 107.31/107.77 parent0[0]: (568) {G9,W5,D2,L1,V0,M1} R(565,14) { ! cyclic( skol24, skol23
% 107.31/107.77 , skol22, skol20 ) }.
% 107.31/107.77 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Y, T, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol23
% 107.31/107.77 Z := skol20
% 107.31/107.77 T := skol22
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (572) {G10,W5,D2,L1,V0,M1} R(568,13) { ! cyclic( skol24,
% 107.31/107.77 skol23, skol20, skol22 ) }.
% 107.31/107.77 parent0: (131367) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20,
% 107.31/107.77 skol22 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131368) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20,
% 107.31/107.77 skol23, skol22 ) }.
% 107.31/107.77 parent0[0]: (572) {G10,W5,D2,L1,V0,M1} R(568,13) { ! cyclic( skol24, skol23
% 107.31/107.77 , skol20, skol22 ) }.
% 107.31/107.77 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.77 , Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol20
% 107.31/107.77 Z := skol23
% 107.31/107.77 T := skol22
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (577) {G11,W5,D2,L1,V0,M1} R(572,14) { ! cyclic( skol24,
% 107.31/107.77 skol20, skol23, skol22 ) }.
% 107.31/107.77 parent0: (131368) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol23,
% 107.31/107.77 skol22 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131369) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24,
% 107.31/107.77 skol23, skol22 ) }.
% 107.31/107.77 parent0[0]: (577) {G11,W5,D2,L1,V0,M1} R(572,14) { ! cyclic( skol24, skol20
% 107.31/107.77 , skol23, skol22 ) }.
% 107.31/107.77 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.77 , X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol20
% 107.31/107.77 Y := skol24
% 107.31/107.77 Z := skol23
% 107.31/107.77 T := skol22
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (580) {G12,W5,D2,L1,V0,M1} R(577,15) { ! cyclic( skol20,
% 107.31/107.77 skol24, skol23, skol22 ) }.
% 107.31/107.77 parent0: (131369) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol23,
% 107.31/107.77 skol22 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131370) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol20, skol24,
% 107.31/107.77 skol23 ), ! cyclic( X, skol20, skol24, skol22 ) }.
% 107.31/107.77 parent0[0]: (580) {G12,W5,D2,L1,V0,M1} R(577,15) { ! cyclic( skol20, skol24
% 107.31/107.77 , skol23, skol22 ) }.
% 107.31/107.77 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 107.31/107.77 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol20
% 107.31/107.77 Y := skol24
% 107.31/107.77 Z := skol23
% 107.31/107.77 T := skol22
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (582) {G13,W10,D2,L2,V1,M2} R(580,16) { ! cyclic( X, skol20,
% 107.31/107.77 skol24, skol23 ), ! cyclic( X, skol20, skol24, skol22 ) }.
% 107.31/107.77 parent0: (131370) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol20, skol24,
% 107.31/107.77 skol23 ), ! cyclic( X, skol20, skol24, skol22 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131371) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol25, X, Y )
% 107.31/107.77 , para( skol26, skol27, X, Y ) }.
% 107.31/107.77 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 107.31/107.77 , Z, T ), para( X, Y, Z, T ) }.
% 107.31/107.77 parent1[0]: (294) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol26, skol27,
% 107.31/107.77 skol20, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol26
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 U := skol20
% 107.31/107.77 W := skol25
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (620) {G2,W10,D2,L2,V2,M2} R(294,8) { ! perp( skol20, skol25,
% 107.31/107.77 X, Y ), para( skol26, skol27, X, Y ) }.
% 107.31/107.77 parent0: (131371) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol25, X, Y ),
% 107.31/107.77 para( skol26, skol27, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131374) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z,
% 107.31/107.77 Y ) }.
% 107.31/107.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (286) {G4,W8,D2,L2,V3,M2} F(273) { coll( X, Y, X ), ! coll( X,
% 107.31/107.77 Z, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (645) {G5,W8,D2,L2,V3,M2} R(286,1) { ! coll( X, Y, Z ), coll(
% 107.31/107.77 Z, X, X ) }.
% 107.31/107.77 parent0: (131374) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131375) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z,
% 107.31/107.77 Y ) }.
% 107.31/107.77 parent0[0]: (645) {G5,W8,D2,L2,V3,M2} R(286,1) { ! coll( X, Y, Z ), coll( Z
% 107.31/107.77 , X, X ) }.
% 107.31/107.77 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (653) {G6,W8,D2,L2,V3,M2} R(645,0) { coll( X, Y, Y ), ! coll(
% 107.31/107.77 Y, X, Z ) }.
% 107.31/107.77 parent0: (131375) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131376) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent0[1]: (653) {G6,W8,D2,L2,V3,M2} R(645,0) { coll( X, Y, Y ), ! coll( Y
% 107.31/107.77 , X, Z ) }.
% 107.31/107.77 parent1[0]: (653) {G6,W8,D2,L2,V3,M2} R(645,0) { coll( X, Y, Y ), ! coll( Y
% 107.31/107.77 , X, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (730) {G7,W8,D2,L2,V3,M2} R(653,653) { ! coll( X, Y, Z ), coll
% 107.31/107.77 ( X, Y, Y ) }.
% 107.31/107.77 parent0: (131376) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131380) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y
% 107.31/107.77 , X ), ! coll( X, Y, T ) }.
% 107.31/107.77 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 107.31/107.77 ), coll( Y, Z, X ) }.
% 107.31/107.77 parent1[1]: (730) {G7,W8,D2,L2,V3,M2} R(653,653) { ! coll( X, Y, Z ), coll
% 107.31/107.77 ( X, Y, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Y
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (733) {G8,W12,D2,L3,V4,M3} R(730,2) { ! coll( X, Y, Z ), !
% 107.31/107.77 coll( X, Y, T ), coll( T, Y, X ) }.
% 107.31/107.77 parent0: (131380) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X
% 107.31/107.77 ), ! coll( X, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := T
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 2
% 107.31/107.77 2 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131383) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 107.31/107.77 }.
% 107.31/107.77 parent0[0, 1]: (733) {G8,W12,D2,L3,V4,M3} R(730,2) { ! coll( X, Y, Z ), !
% 107.31/107.77 coll( X, Y, T ), coll( T, Y, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (734) {G9,W8,D2,L2,V3,M2} F(733) { ! coll( X, Y, Z ), coll( Z
% 107.31/107.77 , Y, X ) }.
% 107.31/107.77 parent0: (131383) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131384) {G1,W8,D2,L2,V3,M2} { coll( Z, Y, X ), ! midp( X, Y,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent0[0]: (734) {G9,W8,D2,L2,V3,M2} F(733) { ! coll( X, Y, Z ), coll( Z,
% 107.31/107.77 Y, X ) }.
% 107.31/107.77 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (753) {G10,W8,D2,L2,V3,M2} R(734,69) { coll( X, Y, Z ), ! midp
% 107.31/107.77 ( Z, Y, X ) }.
% 107.31/107.77 parent0: (131384) {G1,W8,D2,L2,V3,M2} { coll( Z, Y, X ), ! midp( X, Y, Z )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131385) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! midp( Z, Y,
% 107.31/107.77 X ) }.
% 107.31/107.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 107.31/107.77 }.
% 107.31/107.77 parent1[0]: (753) {G10,W8,D2,L2,V3,M2} R(734,69) { coll( X, Y, Z ), ! midp
% 107.31/107.77 ( Z, Y, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (805) {G11,W8,D2,L2,V3,M2} R(753,0) { ! midp( X, Y, Z ), coll
% 107.31/107.77 ( Z, X, Y ) }.
% 107.31/107.77 parent0: (131385) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! midp( Z, Y, X )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131386) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 107.31/107.77 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 107.31/107.77 cyclic( X, Y, Z, T ) }.
% 107.31/107.77 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 107.31/107.77 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 107.31/107.77 ), cong( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 107.31/107.77 Z, X, Z, Y, T, X, T, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := X
% 107.31/107.77 T := Y
% 107.31/107.77 U := Z
% 107.31/107.77 W := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131388) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 107.31/107.77 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 107.31/107.77 parent0[0, 2]: (131386) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 107.31/107.77 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 107.31/107.77 cyclic( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (957) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 107.31/107.77 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 107.31/107.77 parent0: (131388) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic
% 107.31/107.77 ( X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 3
% 107.31/107.77 3 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131393) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 107.31/107.77 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 107.31/107.77 parent0[0, 2]: (957) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 107.31/107.77 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (989) {G2,W15,D2,L3,V3,M3} F(957) { ! cyclic( X, Y, Z, X ), !
% 107.31/107.77 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 107.31/107.77 parent0: (131393) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic
% 107.31/107.77 ( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131395) {G2,W8,D2,L2,V2,M2} { coll( skol20, X, skol27 ), !
% 107.31/107.77 coll( X, Y, skol27 ) }.
% 107.31/107.77 parent0[0]: (540) {G5,W8,D2,L2,V1,M2} R(538,2) { ! coll( skol27, skol27, X
% 107.31/107.77 ), coll( skol20, X, skol27 ) }.
% 107.31/107.77 parent1[1]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 107.31/107.77 , X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1136) {G6,W8,D2,L2,V2,M2} R(540,122) { coll( skol20, X,
% 107.31/107.77 skol27 ), ! coll( X, Y, skol27 ) }.
% 107.31/107.77 parent0: (131395) {G2,W8,D2,L2,V2,M2} { coll( skol20, X, skol27 ), ! coll
% 107.31/107.77 ( X, Y, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131397) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol20 ), !
% 107.31/107.77 coll( X, Y, skol27 ) }.
% 107.31/107.77 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 107.31/107.77 Z, X ) }.
% 107.31/107.77 parent1[0]: (1136) {G6,W8,D2,L2,V2,M2} R(540,122) { coll( skol20, X, skol27
% 107.31/107.77 ), ! coll( X, Y, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol20
% 107.31/107.77 Y := X
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1662) {G7,W8,D2,L2,V2,M2} R(1136,169) { ! coll( X, Y, skol27
% 107.31/107.77 ), coll( X, skol27, skol20 ) }.
% 107.31/107.77 parent0: (131397) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol20 ), ! coll
% 107.31/107.77 ( X, Y, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131398) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol20 ), !
% 107.31/107.77 coll( skol27, Y, X ) }.
% 107.31/107.77 parent0[0]: (1662) {G7,W8,D2,L2,V2,M2} R(1136,169) { ! coll( X, Y, skol27 )
% 107.31/107.77 , coll( X, skol27, skol20 ) }.
% 107.31/107.77 parent1[1]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 107.31/107.77 , X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := skol27
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1676) {G8,W8,D2,L2,V2,M2} R(1662,122) { coll( X, skol27,
% 107.31/107.77 skol20 ), ! coll( skol27, Y, X ) }.
% 107.31/107.77 parent0: (131398) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol20 ), ! coll
% 107.31/107.77 ( skol27, Y, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131399) {G8,W8,D2,L2,V2,M2} { coll( X, skol27, skol20 ), !
% 107.31/107.77 midp( Y, skol27, X ) }.
% 107.31/107.77 parent0[0]: (1662) {G7,W8,D2,L2,V2,M2} R(1136,169) { ! coll( X, Y, skol27 )
% 107.31/107.77 , coll( X, skol27, skol20 ) }.
% 107.31/107.77 parent1[1]: (805) {G11,W8,D2,L2,V3,M2} R(753,0) { ! midp( X, Y, Z ), coll(
% 107.31/107.77 Z, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1681) {G12,W8,D2,L2,V2,M2} R(1662,805) { coll( X, skol27,
% 107.31/107.77 skol20 ), ! midp( Y, skol27, X ) }.
% 107.31/107.77 parent0: (131399) {G8,W8,D2,L2,V2,M2} { coll( X, skol27, skol20 ), ! midp
% 107.31/107.77 ( Y, skol27, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131400) {G1,W14,D2,L3,V4,M3} { ! midp( X, Y, Z ), cong( T, Y
% 107.31/107.77 , T, Z ), ! perp( Y, Z, T, X ) }.
% 107.31/107.77 parent0[1]: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T,
% 107.31/107.77 X, Y ), cong( Z, X, Z, Y ) }.
% 107.31/107.77 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1714) {G1,W14,D2,L3,V4,M3} R(55,7) { ! midp( X, Y, Z ), cong
% 107.31/107.77 ( T, Y, T, Z ), ! perp( Y, Z, T, X ) }.
% 107.31/107.77 parent0: (131400) {G1,W14,D2,L3,V4,M3} { ! midp( X, Y, Z ), cong( T, Y, T
% 107.31/107.77 , Z ), ! perp( Y, Z, T, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131402) {G2,W8,D2,L2,V2,M2} { coll( skol27, skol20, X ), !
% 107.31/107.77 coll( skol27, Y, X ) }.
% 107.31/107.77 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 107.31/107.77 Z, X ) }.
% 107.31/107.77 parent1[0]: (1676) {G8,W8,D2,L2,V2,M2} R(1662,122) { coll( X, skol27,
% 107.31/107.77 skol20 ), ! coll( skol27, Y, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := skol20
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1723) {G9,W8,D2,L2,V2,M2} R(1676,169) { ! coll( skol27, X, Y
% 107.31/107.77 ), coll( skol27, skol20, Y ) }.
% 107.31/107.77 parent0: (131402) {G2,W8,D2,L2,V2,M2} { coll( skol27, skol20, X ), ! coll
% 107.31/107.77 ( skol27, Y, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131403) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X
% 107.31/107.77 , Z, Y, Z ), ! cong( X, T, Y, T ) }.
% 107.31/107.77 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.77 X, Y ) }.
% 107.31/107.77 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 107.31/107.77 T, Y, T ), perp( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1779) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 107.31/107.77 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 107.31/107.77 parent0: (131403) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X, Z
% 107.31/107.77 , Y, Z ), ! cong( X, T, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := Y
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 2
% 107.31/107.77 1 ==> 0
% 107.31/107.77 2 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131405) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( Y, Y,
% 107.31/107.77 X, Z ) }.
% 107.31/107.77 parent0[0, 1]: (1779) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ),
% 107.31/107.77 ! cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1780) {G2,W10,D2,L2,V3,M2} F(1779) { ! cong( X, Y, Z, Y ),
% 107.31/107.77 perp( Y, Y, X, Z ) }.
% 107.31/107.77 parent0: (131405) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( Y, Y
% 107.31/107.77 , X, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131406) {G1,W25,D2,L5,V6,M5} { ! cong( X, T, Z, T ), ! cyclic
% 107.31/107.77 ( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( X, Y, U, W ), ! cong( U, W, Z
% 107.31/107.77 , Y ) }.
% 107.31/107.77 parent0[0]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X,
% 107.31/107.77 Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 107.31/107.77 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 107.31/107.77 W, Z, T ), cong( X, Y, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := T
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := Y
% 107.31/107.77 U := U
% 107.31/107.77 W := W
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1808) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), !
% 107.31/107.77 cyclic( X, Z, T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong(
% 107.31/107.77 U, W, Z, T ) }.
% 107.31/107.77 parent0: (131406) {G1,W25,D2,L5,V6,M5} { ! cong( X, T, Z, T ), ! cyclic( X
% 107.31/107.77 , Z, Y, T ), perp( Y, X, X, T ), ! cong( X, Y, U, W ), ! cong( U, W, Z, Y
% 107.31/107.77 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := T
% 107.31/107.77 Z := Z
% 107.31/107.77 T := Y
% 107.31/107.77 U := U
% 107.31/107.77 W := W
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 3 ==> 3
% 107.31/107.77 4 ==> 4
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131416) {G1,W20,D2,L5,V6,M5} { ! midp( X, Y, Z ), ! coll( T,
% 107.31/107.77 Y, U ), midp( T, Y, U ), ! midp( W, X, Z ), ! midp( W, T, U ) }.
% 107.31/107.77 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 107.31/107.77 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 107.31/107.77 parent1[2]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 107.31/107.77 T ), para( X, Z, Y, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := U
% 107.31/107.77 Z := T
% 107.31/107.77 T := Z
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := U
% 107.31/107.77 U := W
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (1996) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), !
% 107.31/107.77 midp( X, T, U ), ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U )
% 107.31/107.77 }.
% 107.31/107.77 parent0: (131416) {G1,W20,D2,L5,V6,M5} { ! midp( X, Y, Z ), ! coll( T, Y,
% 107.31/107.77 U ), midp( T, Y, U ), ! midp( W, X, Z ), ! midp( W, T, U ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := W
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 W := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 2
% 107.31/107.77 1 ==> 3
% 107.31/107.77 2 ==> 4
% 107.31/107.77 3 ==> 0
% 107.31/107.77 4 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131422) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T
% 107.31/107.77 , Z, U ), ! midp( X, U, T ) }.
% 107.31/107.77 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 107.31/107.77 T ), para( X, Z, Y, T ) }.
% 107.31/107.77 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := T
% 107.31/107.77 T := U
% 107.31/107.77 U := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := T
% 107.31/107.77 Y := U
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2005) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 107.31/107.77 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 107.31/107.77 parent0: (131422) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z
% 107.31/107.77 , U ), ! midp( X, U, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 U := U
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131425) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 107.31/107.77 ) }.
% 107.31/107.77 parent0[0, 2]: (2005) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 107.31/107.77 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := Z
% 107.31/107.77 U := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2021) {G2,W9,D2,L2,V3,M2} F(2005) { ! midp( X, Y, Z ), para(
% 107.31/107.77 Y, Z, Z, Y ) }.
% 107.31/107.77 parent0: (131425) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z,
% 107.31/107.77 Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131427) {G1,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X, Z, T
% 107.31/107.77 ), ! coll( Z, X, T ), midp( Z, X, T ) }.
% 107.31/107.77 parent0[0, 2]: (1996) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), !
% 107.31/107.77 midp( X, T, U ), ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Y
% 107.31/107.77 T := Z
% 107.31/107.77 U := T
% 107.31/107.77 W := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131436) {G2,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X,
% 107.31/107.77 Z, T ), midp( Z, X, T ), ! midp( X, Z, T ) }.
% 107.31/107.77 parent0[2]: (131427) {G1,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X,
% 107.31/107.77 Z, T ), ! coll( Z, X, T ), midp( Z, X, T ) }.
% 107.31/107.77 parent1[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y
% 107.31/107.77 , X, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := X
% 107.31/107.77 Z := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131438) {G2,W12,D2,L3,V4,M3} { ! midp( X, X, Y ), ! midp( X, Z, T
% 107.31/107.77 ), midp( Z, X, T ) }.
% 107.31/107.77 parent0[1, 3]: (131436) {G2,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp(
% 107.31/107.77 X, Z, T ), midp( Z, X, T ), ! midp( X, Z, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2024) {G2,W12,D2,L3,V4,M3} F(1996);r(166) { ! midp( X, X, Y )
% 107.31/107.77 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 107.31/107.77 parent0: (131438) {G2,W12,D2,L3,V4,M3} { ! midp( X, X, Y ), ! midp( X, Z,
% 107.31/107.77 T ), midp( Z, X, T ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 T := T
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131440) {G1,W14,D2,L3,V2,M3} { ! para( skol25, X, skol27, Y )
% 107.31/107.77 , ! para( skol25, Y, skol27, X ), midp( skol24, X, Y ) }.
% 107.31/107.77 parent0[0]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 107.31/107.77 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 107.31/107.77 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol25, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := skol24
% 107.31/107.77 T := skol25
% 107.31/107.77 U := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2069) {G1,W14,D2,L3,V2,M3} R(64,120) { ! para( skol25, X,
% 107.31/107.77 skol27, Y ), ! para( skol25, Y, skol27, X ), midp( skol24, X, Y ) }.
% 107.31/107.77 parent0: (131440) {G1,W14,D2,L3,V2,M3} { ! para( skol25, X, skol27, Y ), !
% 107.31/107.77 para( skol25, Y, skol27, X ), midp( skol24, X, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131442) {G1,W9,D2,L2,V3,M2} { cong( X, Y, Z, X ), ! midp( X,
% 107.31/107.77 Y, Z ) }.
% 107.31/107.77 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 parent1[1]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 107.31/107.77 Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := X
% 107.31/107.77 T := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2475) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong
% 107.31/107.77 ( X, Y, Z, X ) }.
% 107.31/107.77 parent0: (131442) {G1,W9,D2,L2,V3,M2} { cong( X, Y, Z, X ), ! midp( X, Y,
% 107.31/107.77 Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Z
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131443) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol27, skol24,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent1[0]: (342) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol24, skol27,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := skol25
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2481) {G2,W5,D2,L1,V0,M1} R(68,342) { cong( skol24, skol27,
% 107.31/107.77 skol24, skol25 ) }.
% 107.31/107.77 parent0: (131443) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol27, skol24,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131444) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent1[0]: (341) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol23, skol26,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol23
% 107.31/107.77 Y := skol26
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2482) {G2,W5,D2,L1,V0,M1} R(68,341) { cong( skol23, skol26,
% 107.31/107.77 skol23, skol27 ) }.
% 107.31/107.77 parent0: (131444) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131445) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol26, skol22,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent1[0]: (340) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol22, skol26,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol22
% 107.31/107.77 Y := skol26
% 107.31/107.77 Z := skol25
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2483) {G2,W5,D2,L1,V0,M1} R(68,340) { cong( skol22, skol26,
% 107.31/107.77 skol22, skol25 ) }.
% 107.31/107.77 parent0: (131445) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol26, skol22,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131446) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol25, skol22,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol25, skol26 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol22
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol26
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2484) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol22, skol25,
% 107.31/107.77 skol22, skol26 ) }.
% 107.31/107.77 parent0: (131446) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol25, skol22,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131447) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol27, skol23,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol27, skol26 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol23
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := skol26
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2485) {G1,W5,D2,L1,V0,M1} R(68,119) { cong( skol23, skol27,
% 107.31/107.77 skol23, skol26 ) }.
% 107.31/107.77 parent0: (131447) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol27, skol23,
% 107.31/107.77 skol26 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131448) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol25, skol24,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 107.31/107.77 Z ) }.
% 107.31/107.77 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol25, skol27 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol25
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2486) {G1,W5,D2,L1,V0,M1} R(68,120) { cong( skol24, skol25,
% 107.31/107.77 skol24, skol27 ) }.
% 107.31/107.77 parent0: (131448) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol25, skol24,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131449) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol27, skol25,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 parent1[0]: (2481) {G2,W5,D2,L1,V0,M1} R(68,342) { cong( skol24, skol27,
% 107.31/107.77 skol24, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := skol24
% 107.31/107.77 T := skol25
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2495) {G3,W5,D2,L1,V0,M1} R(2481,22) { cong( skol24, skol27,
% 107.31/107.77 skol25, skol24 ) }.
% 107.31/107.77 parent0: (131449) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol27, skol25,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131450) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol24, skol24,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 parent1[0]: (2495) {G3,W5,D2,L1,V0,M1} R(2481,22) { cong( skol24, skol27,
% 107.31/107.77 skol25, skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol24
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := skol25
% 107.31/107.77 T := skol24
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2507) {G4,W5,D2,L1,V0,M1} R(2495,23) { cong( skol25, skol24,
% 107.31/107.77 skol24, skol27 ) }.
% 107.31/107.77 parent0: (131450) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol24, skol24,
% 107.31/107.77 skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131451) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol24, skol27,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 parent1[0]: (2507) {G4,W5,D2,L1,V0,M1} R(2495,23) { cong( skol25, skol24,
% 107.31/107.77 skol24, skol27 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol25
% 107.31/107.77 Y := skol24
% 107.31/107.77 Z := skol24
% 107.31/107.77 T := skol27
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2511) {G5,W5,D2,L1,V0,M1} R(2507,22) { cong( skol25, skol24,
% 107.31/107.77 skol27, skol24 ) }.
% 107.31/107.77 parent0: (131451) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol24, skol27,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131452) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol24, skol25,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 107.31/107.77 , X, Y ) }.
% 107.31/107.77 parent1[0]: (2511) {G5,W5,D2,L1,V0,M1} R(2507,22) { cong( skol25, skol24,
% 107.31/107.77 skol27, skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol25
% 107.31/107.77 Y := skol24
% 107.31/107.77 Z := skol27
% 107.31/107.77 T := skol24
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2519) {G6,W5,D2,L1,V0,M1} R(2511,23) { cong( skol27, skol24,
% 107.31/107.77 skol25, skol24 ) }.
% 107.31/107.77 parent0: (131452) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol24, skol25,
% 107.31/107.77 skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131453) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol24, skol24,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 107.31/107.77 , T, Z ) }.
% 107.31/107.77 parent1[0]: (2519) {G6,W5,D2,L1,V0,M1} R(2511,23) { cong( skol27, skol24,
% 107.31/107.77 skol25, skol24 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol27
% 107.31/107.77 Y := skol24
% 107.31/107.77 Z := skol25
% 107.31/107.77 T := skol24
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2559) {G7,W5,D2,L1,V0,M1} R(2519,22) { cong( skol27, skol24,
% 107.31/107.77 skol24, skol25 ) }.
% 107.31/107.77 parent0: (131453) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol24, skol24,
% 107.31/107.77 skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131455) {G1,W10,D2,L2,V2,M2} { ! cong( X, Y, skol27, skol24 )
% 107.31/107.77 , cong( X, Y, skol24, skol25 ) }.
% 107.31/107.77 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 107.31/107.77 W, Z, T ), cong( X, Y, Z, T ) }.
% 107.31/107.77 parent1[0]: (2559) {G7,W5,D2,L1,V0,M1} R(2519,22) { cong( skol27, skol24,
% 107.31/107.77 skol24, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := skol24
% 107.31/107.77 T := skol25
% 107.31/107.77 U := skol27
% 107.31/107.77 W := skol24
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2562) {G8,W10,D2,L2,V2,M2} R(2559,24) { ! cong( X, Y, skol27
% 107.31/107.77 , skol24 ), cong( X, Y, skol24, skol25 ) }.
% 107.31/107.77 parent0: (131455) {G1,W10,D2,L2,V2,M2} { ! cong( X, Y, skol27, skol24 ),
% 107.31/107.77 cong( X, Y, skol24, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131458) {G1,W15,D2,L3,V2,M3} { ! cong( skol22, skol26, skol22
% 107.31/107.77 , X ), ! cong( skol22, skol26, skol22, Y ), cyclic( skol26, X, Y, skol25
% 107.31/107.77 ) }.
% 107.31/107.77 parent0[2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 107.31/107.77 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 107.31/107.77 parent1[0]: (2483) {G2,W5,D2,L1,V0,M1} R(68,340) { cong( skol22, skol26,
% 107.31/107.77 skol22, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol26
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Y
% 107.31/107.77 T := skol25
% 107.31/107.77 U := skol22
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2674) {G3,W15,D2,L3,V2,M3} R(2483,12) { ! cong( skol22,
% 107.31/107.77 skol26, skol22, X ), ! cong( skol22, skol26, skol22, Y ), cyclic( skol26
% 107.31/107.77 , X, Y, skol25 ) }.
% 107.31/107.77 parent0: (131458) {G1,W15,D2,L3,V2,M3} { ! cong( skol22, skol26, skol22, X
% 107.31/107.77 ), ! cong( skol22, skol26, skol22, Y ), cyclic( skol26, X, Y, skol25 )
% 107.31/107.77 }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 factor: (131462) {G3,W10,D2,L2,V1,M2} { ! cong( skol22, skol26, skol22, X
% 107.31/107.77 ), cyclic( skol26, X, X, skol25 ) }.
% 107.31/107.77 parent0[0, 1]: (2674) {G3,W15,D2,L3,V2,M3} R(2483,12) { ! cong( skol22,
% 107.31/107.77 skol26, skol22, X ), ! cong( skol22, skol26, skol22, Y ), cyclic( skol26
% 107.31/107.77 , X, Y, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2677) {G4,W10,D2,L2,V1,M2} F(2674) { ! cong( skol22, skol26,
% 107.31/107.77 skol22, X ), cyclic( skol26, X, X, skol25 ) }.
% 107.31/107.77 parent0: (131462) {G3,W10,D2,L2,V1,M2} { ! cong( skol22, skol26, skol22, X
% 107.31/107.77 ), cyclic( skol26, X, X, skol25 ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131463) {G1,W15,D2,L3,V3,M3} { ! perp( Y, Z, X, Z ), perp( X
% 107.31/107.77 , Y, Y, Z ), ! cong( X, Y, X, Z ) }.
% 107.31/107.77 parent0[0]: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 107.31/107.77 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 107.31/107.77 parent1[1]: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 107.31/107.77 , X, X, Y, X, Y, Z, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 Z := Y
% 107.31/107.77 T := Z
% 107.31/107.77 U := Y
% 107.31/107.77 W := Z
% 107.31/107.77 V0 := X
% 107.31/107.77 V1 := Z
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := Z
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2697) {G1,W15,D2,L3,V3,M3} R(73,46) { ! perp( X, Y, Z, Y ),
% 107.31/107.77 perp( Z, X, X, Y ), ! cong( Z, X, Z, Y ) }.
% 107.31/107.77 parent0: (131463) {G1,W15,D2,L3,V3,M3} { ! perp( Y, Z, X, Z ), perp( X, Y
% 107.31/107.77 , Y, Z ), ! cong( X, Y, X, Z ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Z
% 107.31/107.77 Y := X
% 107.31/107.77 Z := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 2 ==> 2
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131464) {G2,W8,D2,L2,V2,M2} { coll( skol27, skol20, Y ), !
% 107.31/107.77 coll( Y, skol27, X ) }.
% 107.31/107.77 parent0[0]: (1723) {G9,W8,D2,L2,V2,M2} R(1676,169) { ! coll( skol27, X, Y )
% 107.31/107.77 , coll( skol27, skol20, Y ) }.
% 107.31/107.77 parent1[1]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 107.31/107.77 Z, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := skol27
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (2977) {G10,W8,D2,L2,V2,M2} R(1723,169) { coll( skol27, skol20
% 107.31/107.77 , X ), ! coll( X, skol27, Y ) }.
% 107.31/107.77 parent0: (131464) {G2,W8,D2,L2,V2,M2} { coll( skol27, skol20, Y ), ! coll
% 107.31/107.77 ( Y, skol27, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 0
% 107.31/107.77 1 ==> 1
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131466) {G10,W8,D2,L2,V2,M2} { coll( X, skol20, skol27 ), !
% 107.31/107.77 coll( X, skol27, Y ) }.
% 107.31/107.77 parent0[0]: (734) {G9,W8,D2,L2,V3,M2} F(733) { ! coll( X, Y, Z ), coll( Z,
% 107.31/107.77 Y, X ) }.
% 107.31/107.77 parent1[0]: (2977) {G10,W8,D2,L2,V2,M2} R(1723,169) { coll( skol27, skol20
% 107.31/107.77 , X ), ! coll( X, skol27, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := skol27
% 107.31/107.77 Y := skol20
% 107.31/107.77 Z := X
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (3087) {G11,W8,D2,L2,V2,M2} R(2977,734) { ! coll( X, skol27, Y
% 107.31/107.77 ), coll( X, skol20, skol27 ) }.
% 107.31/107.77 parent0: (131466) {G10,W8,D2,L2,V2,M2} { coll( X, skol20, skol27 ), ! coll
% 107.31/107.77 ( X, skol27, Y ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 permutation0:
% 107.31/107.77 0 ==> 1
% 107.31/107.77 1 ==> 0
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 resolution: (131467) {G2,W8,D2,L2,V2,M2} { coll( X, skol20, skol27 ), !
% 107.31/107.77 coll( Y, X, skol27 ) }.
% 107.31/107.77 parent0[0]: (3087) {G11,W8,D2,L2,V2,M2} R(2977,734) { ! coll( X, skol27, Y
% 107.31/107.77 ), coll( X, skol20, skol27 ) }.
% 107.31/107.77 parent1[1]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 107.31/107.77 Z, X ) }.
% 107.31/107.77 substitution0:
% 107.31/107.77 X := X
% 107.31/107.77 Y := Y
% 107.31/107.77 end
% 107.31/107.77 substitution1:
% 107.31/107.77 X := Y
% 107.31/107.77 Y := X
% 107.31/107.77 Z := skol27
% 107.31/107.77 end
% 107.31/107.77
% 107.31/107.77 subsumption: (3097) {G12,W8,D2,L2,V2,M2} R(3087,169) { coll( X, skol20,
% 107.31/107.77 skol27 ), ! coll( Y, X, skol27 ) }.
% 107.31/107.77 parent0: (131467) {G2,W8,D2,L2,V2,M2} { coll( X, skol20, skol27 ), ! coll
% 107.31/107.78 ( Y, X, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131469) {G2,W8,D2,L2,V2,M2} { coll( skol20, skol27, X ), !
% 107.31/107.78 coll( Y, X, skol27 ) }.
% 107.31/107.78 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 107.31/107.78 Z, X ) }.
% 107.31/107.78 parent1[0]: (3097) {G12,W8,D2,L2,V2,M2} R(3087,169) { coll( X, skol20,
% 107.31/107.78 skol27 ), ! coll( Y, X, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol20
% 107.31/107.78 Z := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (3227) {G13,W8,D2,L2,V2,M2} R(3097,169) { ! coll( X, Y, skol27
% 107.31/107.78 ), coll( skol20, skol27, Y ) }.
% 107.31/107.78 parent0: (131469) {G2,W8,D2,L2,V2,M2} { coll( skol20, skol27, X ), ! coll
% 107.31/107.78 ( Y, X, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := Y
% 107.31/107.78 Y := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 1
% 107.31/107.78 1 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131470) {G2,W8,D2,L2,V2,M2} { coll( skol20, skol27, Y ), !
% 107.31/107.78 midp( X, skol27, Y ) }.
% 107.31/107.78 parent0[0]: (3227) {G13,W8,D2,L2,V2,M2} R(3097,169) { ! coll( X, Y, skol27
% 107.31/107.78 ), coll( skol20, skol27, Y ) }.
% 107.31/107.78 parent1[1]: (160) {G1,W8,D2,L2,V3,M2} R(69,0) { ! midp( X, Y, Z ), coll( X
% 107.31/107.78 , Z, Y ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := Y
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (3235) {G14,W8,D2,L2,V2,M2} R(3227,160) { coll( skol20, skol27
% 107.31/107.78 , X ), ! midp( Y, skol27, X ) }.
% 107.31/107.78 parent0: (131470) {G2,W8,D2,L2,V2,M2} { coll( skol20, skol27, Y ), ! midp
% 107.31/107.78 ( X, skol27, Y ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := Y
% 107.31/107.78 Y := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131471) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol25, skol27
% 107.31/107.78 , skol27 ) }.
% 107.31/107.78 parent0[0]: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 107.31/107.78 ( X, Y, Z, Z ) }.
% 107.31/107.78 parent1[0]: (2486) {G1,W5,D2,L1,V0,M1} R(68,120) { cong( skol24, skol25,
% 107.31/107.78 skol24, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol24
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7132) {G2,W5,D2,L1,V0,M1} R(124,2486) { circle( skol24,
% 107.31/107.78 skol25, skol27, skol27 ) }.
% 107.31/107.78 parent0: (131471) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol25, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131472) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol27, skol26
% 107.31/107.78 , skol26 ) }.
% 107.31/107.78 parent0[0]: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 107.31/107.78 ( X, Y, Z, Z ) }.
% 107.31/107.78 parent1[0]: (2485) {G1,W5,D2,L1,V0,M1} R(68,119) { cong( skol23, skol27,
% 107.31/107.78 skol23, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol23
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7133) {G2,W5,D2,L1,V0,M1} R(124,2485) { circle( skol23,
% 107.31/107.78 skol27, skol26, skol26 ) }.
% 107.31/107.78 parent0: (131472) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol27, skol26,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131473) {G2,W5,D2,L1,V0,M1} { circle( skol22, skol25, skol26
% 107.31/107.78 , skol26 ) }.
% 107.31/107.78 parent0[0]: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 107.31/107.78 ( X, Y, Z, Z ) }.
% 107.31/107.78 parent1[0]: (2484) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol22, skol25,
% 107.31/107.78 skol22, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol22
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7134) {G2,W5,D2,L1,V0,M1} R(124,2484) { circle( skol22,
% 107.31/107.78 skol25, skol26, skol26 ) }.
% 107.31/107.78 parent0: (131473) {G2,W5,D2,L1,V0,M1} { circle( skol22, skol25, skol26,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131474) {G2,W5,D2,L1,V0,M1} { circle( skol22, skol26, skol25
% 107.31/107.78 , skol25 ) }.
% 107.31/107.78 parent0[0]: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 107.31/107.78 ( X, Y, Z, Z ) }.
% 107.31/107.78 parent1[0]: (2483) {G2,W5,D2,L1,V0,M1} R(68,340) { cong( skol22, skol26,
% 107.31/107.78 skol22, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol22
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7135) {G3,W5,D2,L1,V0,M1} R(124,2483) { circle( skol22,
% 107.31/107.78 skol26, skol25, skol25 ) }.
% 107.31/107.78 parent0: (131474) {G2,W5,D2,L1,V0,M1} { circle( skol22, skol26, skol25,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131475) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol26, skol27
% 107.31/107.78 , skol27 ) }.
% 107.31/107.78 parent0[0]: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 107.31/107.78 ( X, Y, Z, Z ) }.
% 107.31/107.78 parent1[0]: (2482) {G2,W5,D2,L1,V0,M1} R(68,341) { cong( skol23, skol26,
% 107.31/107.78 skol23, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol23
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7136) {G3,W5,D2,L1,V0,M1} R(124,2482) { circle( skol23,
% 107.31/107.78 skol26, skol27, skol27 ) }.
% 107.31/107.78 parent0: (131475) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol26, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131476) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol27, skol25
% 107.31/107.78 , skol25 ) }.
% 107.31/107.78 parent0[0]: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 107.31/107.78 ( X, Y, Z, Z ) }.
% 107.31/107.78 parent1[0]: (2481) {G2,W5,D2,L1,V0,M1} R(68,342) { cong( skol24, skol27,
% 107.31/107.78 skol24, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol24
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7137) {G3,W5,D2,L1,V0,M1} R(124,2481) { circle( skol24,
% 107.31/107.78 skol27, skol25, skol25 ) }.
% 107.31/107.78 parent0: (131476) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol27, skol25,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131477) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol24 )
% 107.31/107.78 , skol25, skol25, skol24 ) }.
% 107.31/107.78 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 107.31/107.78 skol12( X, Y ), X, X, Y ) }.
% 107.31/107.78 parent1[0]: (7132) {G2,W5,D2,L1,V0,M1} R(124,2486) { circle( skol24, skol25
% 107.31/107.78 , skol27, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol25
% 107.31/107.78 Y := skol24
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7145) {G3,W7,D3,L1,V0,M1} R(7132,100) { perp( skol12( skol25
% 107.31/107.78 , skol24 ), skol25, skol25, skol24 ) }.
% 107.31/107.78 parent0: (131477) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol24 ),
% 107.31/107.78 skol25, skol25, skol24 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131478) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol27, skol23 )
% 107.31/107.78 , skol27, skol27, skol23 ) }.
% 107.31/107.78 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 107.31/107.78 skol12( X, Y ), X, X, Y ) }.
% 107.31/107.78 parent1[0]: (7133) {G2,W5,D2,L1,V0,M1} R(124,2485) { circle( skol23, skol27
% 107.31/107.78 , skol26, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol23
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7241) {G3,W7,D3,L1,V0,M1} R(7133,100) { perp( skol12( skol27
% 107.31/107.78 , skol23 ), skol27, skol27, skol23 ) }.
% 107.31/107.78 parent0: (131478) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol27, skol23 ),
% 107.31/107.78 skol27, skol27, skol23 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131479) {G1,W9,D2,L2,V0,M2} { ! coll( skol23, skol27, skol26
% 107.31/107.78 ), perp( skol27, skol26, skol26, skol26 ) }.
% 107.31/107.78 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 107.31/107.78 , X, Z ), perp( X, Y, Y, Z ) }.
% 107.31/107.78 parent1[0]: (7133) {G2,W5,D2,L1,V0,M1} R(124,2485) { circle( skol23, skol27
% 107.31/107.78 , skol26, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol23
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131480) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol26,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 parent0[0]: (131479) {G1,W9,D2,L2,V0,M2} { ! coll( skol23, skol27, skol26
% 107.31/107.78 ), perp( skol27, skol26, skol26, skol26 ) }.
% 107.31/107.78 parent1[0]: (162) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol23, skol27,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7242) {G3,W5,D2,L1,V0,M1} R(7133,53);r(162) { perp( skol27,
% 107.31/107.78 skol26, skol26, skol26 ) }.
% 107.31/107.78 parent0: (131480) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol26,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131481) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol26
% 107.31/107.78 , skol26 ) }.
% 107.31/107.78 parent0[0]: (128) {G2,W10,D2,L2,V3,M2} F(127) { ! cong( X, Y, X, Z ),
% 107.31/107.78 cyclic( Y, Z, Z, Z ) }.
% 107.31/107.78 parent1[0]: (2484) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol22, skol25,
% 107.31/107.78 skol22, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol22
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (7314) {G3,W5,D2,L1,V0,M1} R(128,2484) { cyclic( skol25,
% 107.31/107.78 skol26, skol26, skol26 ) }.
% 107.31/107.78 parent0: (131481) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol26,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131482) {G2,W14,D3,L3,V1,M3} { ! coll( skol27, skol27, skol25
% 107.31/107.78 ), ! coll( skol25, skol27, skol25 ), midp( skol7( skol27, X ), skol27, X
% 107.31/107.78 ) }.
% 107.31/107.78 parent0[0]: (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 107.31/107.78 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 107.31/107.78 parent1[0]: (342) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol24, skol27,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol24
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := X
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131483) {G3,W10,D3,L2,V1,M2} { ! coll( skol25, skol27, skol25
% 107.31/107.78 ), midp( skol7( skol27, X ), skol27, X ) }.
% 107.31/107.78 parent0[0]: (131482) {G2,W14,D3,L3,V1,M3} { ! coll( skol27, skol27, skol25
% 107.31/107.78 ), ! coll( skol25, skol27, skol25 ), midp( skol7( skol27, X ), skol27, X
% 107.31/107.78 ) }.
% 107.31/107.78 parent1[0]: (348) {G4,W4,D2,L1,V0,M1} R(262,0) { coll( skol27, skol27,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8088) {G5,W10,D3,L2,V1,M2} R(144,342);r(348) { ! coll( skol25
% 107.31/107.78 , skol27, skol25 ), midp( skol7( skol27, X ), skol27, X ) }.
% 107.31/107.78 parent0: (131483) {G3,W10,D3,L2,V1,M2} { ! coll( skol25, skol27, skol25 )
% 107.31/107.78 , midp( skol7( skol27, X ), skol27, X ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131484) {G1,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol26
% 107.31/107.78 , skol26 ) }.
% 107.31/107.78 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.78 , X, Z, T ) }.
% 107.31/107.78 parent1[0]: (7314) {G3,W5,D2,L1,V0,M1} R(128,2484) { cyclic( skol25, skol26
% 107.31/107.78 , skol26, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol25
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8131) {G4,W5,D2,L1,V0,M1} R(7314,15) { cyclic( skol26, skol25
% 107.31/107.78 , skol26, skol26 ) }.
% 107.31/107.78 parent0: (131484) {G1,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol26,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131485) {G1,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol25
% 107.31/107.78 , skol26 ) }.
% 107.31/107.78 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.78 , Z, Y, T ) }.
% 107.31/107.78 parent1[0]: (8131) {G4,W5,D2,L1,V0,M1} R(7314,15) { cyclic( skol26, skol25
% 107.31/107.78 , skol26, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8136) {G5,W5,D2,L1,V0,M1} R(8131,14) { cyclic( skol26, skol26
% 107.31/107.78 , skol25, skol26 ) }.
% 107.31/107.78 parent0: (131485) {G1,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol25,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131486) {G1,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol26
% 107.31/107.78 , skol25 ) }.
% 107.31/107.78 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.78 , Y, T, Z ) }.
% 107.31/107.78 parent1[0]: (8136) {G5,W5,D2,L1,V0,M1} R(8131,14) { cyclic( skol26, skol26
% 107.31/107.78 , skol25, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8213) {G6,W5,D2,L1,V0,M1} R(8136,13) { cyclic( skol26, skol26
% 107.31/107.78 , skol26, skol25 ) }.
% 107.31/107.78 parent0: (131486) {G1,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol26,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131487) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol25
% 107.31/107.78 , skol25 ) }.
% 107.31/107.78 parent0[0]: (129) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 107.31/107.78 cyclic( Y, Z, T, T ) }.
% 107.31/107.78 parent1[0]: (8213) {G6,W5,D2,L1,V0,M1} R(8136,13) { cyclic( skol26, skol26
% 107.31/107.78 , skol26, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8214) {G7,W5,D2,L1,V0,M1} R(8213,129) { cyclic( skol26,
% 107.31/107.78 skol26, skol25, skol25 ) }.
% 107.31/107.78 parent0: (131487) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol25,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131488) {G1,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol26
% 107.31/107.78 , skol25 ) }.
% 107.31/107.78 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 107.31/107.78 , Z, Y, T ) }.
% 107.31/107.78 parent1[0]: (8214) {G7,W5,D2,L1,V0,M1} R(8213,129) { cyclic( skol26, skol26
% 107.31/107.78 , skol25, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8225) {G8,W5,D2,L1,V0,M1} R(8214,14) { cyclic( skol26, skol25
% 107.31/107.78 , skol26, skol25 ) }.
% 107.31/107.78 parent0: (131488) {G1,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol26,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131489) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol26
% 107.31/107.78 , skol25 ) }.
% 107.31/107.78 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 107.31/107.78 , X, Z, T ) }.
% 107.31/107.78 parent1[0]: (8225) {G8,W5,D2,L1,V0,M1} R(8214,14) { cyclic( skol26, skol25
% 107.31/107.78 , skol26, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8230) {G9,W5,D2,L1,V0,M1} R(8225,15) { cyclic( skol25, skol26
% 107.31/107.78 , skol26, skol25 ) }.
% 107.31/107.78 parent0: (131489) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol26,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131490) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol22 )
% 107.31/107.78 , skol25, skol25, skol22 ) }.
% 107.31/107.78 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 107.31/107.78 skol12( X, Y ), X, X, Y ) }.
% 107.31/107.78 parent1[0]: (7134) {G2,W5,D2,L1,V0,M1} R(124,2484) { circle( skol22, skol25
% 107.31/107.78 , skol26, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol25
% 107.31/107.78 Y := skol22
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8363) {G3,W7,D3,L1,V0,M1} R(7134,100) { perp( skol12( skol25
% 107.31/107.78 , skol22 ), skol25, skol25, skol22 ) }.
% 107.31/107.78 parent0: (131490) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol22 ),
% 107.31/107.78 skol25, skol25, skol22 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131491) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol22 )
% 107.31/107.78 , skol26, skol26, skol22 ) }.
% 107.31/107.78 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 107.31/107.78 skol12( X, Y ), X, X, Y ) }.
% 107.31/107.78 parent1[0]: (7135) {G3,W5,D2,L1,V0,M1} R(124,2483) { circle( skol22, skol26
% 107.31/107.78 , skol25, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol22
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8436) {G4,W7,D3,L1,V0,M1} R(7135,100) { perp( skol12( skol26
% 107.31/107.78 , skol22 ), skol26, skol26, skol22 ) }.
% 107.31/107.78 parent0: (131491) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol22 ),
% 107.31/107.78 skol26, skol26, skol22 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131492) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol23 )
% 107.31/107.78 , skol26, skol26, skol23 ) }.
% 107.31/107.78 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 107.31/107.78 skol12( X, Y ), X, X, Y ) }.
% 107.31/107.78 parent1[0]: (7136) {G3,W5,D2,L1,V0,M1} R(124,2482) { circle( skol23, skol26
% 107.31/107.78 , skol27, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol23
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8537) {G4,W7,D3,L1,V0,M1} R(7136,100) { perp( skol12( skol26
% 107.31/107.78 , skol23 ), skol26, skol26, skol23 ) }.
% 107.31/107.78 parent0: (131492) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol23 ),
% 107.31/107.78 skol26, skol26, skol23 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131493) {G1,W9,D2,L2,V0,M2} { ! coll( skol23, skol26, skol27
% 107.31/107.78 ), perp( skol26, skol27, skol27, skol27 ) }.
% 107.31/107.78 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 107.31/107.78 , X, Z ), perp( X, Y, Y, Z ) }.
% 107.31/107.78 parent1[0]: (7136) {G3,W5,D2,L1,V0,M1} R(124,2482) { circle( skol23, skol26
% 107.31/107.78 , skol27, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol23
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131494) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0[0]: (131493) {G1,W9,D2,L2,V0,M2} { ! coll( skol23, skol26, skol27
% 107.31/107.78 ), perp( skol26, skol27, skol27, skol27 ) }.
% 107.31/107.78 parent1[0]: (215) {G2,W4,D2,L1,V0,M1} R(162,0) { coll( skol23, skol26,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8538) {G4,W5,D2,L1,V0,M1} R(7136,53);r(215) { perp( skol26,
% 107.31/107.78 skol27, skol27, skol27 ) }.
% 107.31/107.78 parent0: (131494) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131495) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol26,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.78 X, Y ) }.
% 107.31/107.78 parent1[0]: (8538) {G4,W5,D2,L1,V0,M1} R(7136,53);r(215) { perp( skol26,
% 107.31/107.78 skol27, skol27, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8556) {G5,W5,D2,L1,V0,M1} R(8538,7) { perp( skol27, skol27,
% 107.31/107.78 skol26, skol27 ) }.
% 107.31/107.78 parent0: (131495) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol26,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131496) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol27,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 107.31/107.78 T, Z ) }.
% 107.31/107.78 parent1[0]: (8556) {G5,W5,D2,L1,V0,M1} R(8538,7) { perp( skol27, skol27,
% 107.31/107.78 skol26, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8712) {G6,W5,D2,L1,V0,M1} R(8556,6) { perp( skol27, skol27,
% 107.31/107.78 skol27, skol26 ) }.
% 107.31/107.78 parent0: (131496) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol27,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131497) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.78 X, Y ) }.
% 107.31/107.78 parent1[0]: (8712) {G6,W5,D2,L1,V0,M1} R(8556,6) { perp( skol27, skol27,
% 107.31/107.78 skol27, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8801) {G7,W5,D2,L1,V0,M1} R(8712,7) { perp( skol27, skol26,
% 107.31/107.78 skol27, skol27 ) }.
% 107.31/107.78 parent0: (131497) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131498) {G1,W9,D2,L2,V0,M2} { ! coll( skol24, skol27, skol25
% 107.31/107.78 ), perp( skol27, skol25, skol25, skol25 ) }.
% 107.31/107.78 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 107.31/107.78 , X, Z ), perp( X, Y, Y, Z ) }.
% 107.31/107.78 parent1[0]: (7137) {G3,W5,D2,L1,V0,M1} R(124,2481) { circle( skol24, skol27
% 107.31/107.78 , skol25, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol24
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131499) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol25,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 parent0[0]: (131498) {G1,W9,D2,L2,V0,M2} { ! coll( skol24, skol27, skol25
% 107.31/107.78 ), perp( skol27, skol25, skol25, skol25 ) }.
% 107.31/107.78 parent1[0]: (234) {G2,W4,D2,L1,V0,M1} R(163,0) { coll( skol24, skol27,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8812) {G4,W5,D2,L1,V0,M1} R(7137,53);r(234) { perp( skol27,
% 107.31/107.78 skol25, skol25, skol25 ) }.
% 107.31/107.78 parent0: (131499) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol25,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131500) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol27,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.78 X, Y ) }.
% 107.31/107.78 parent1[0]: (8812) {G4,W5,D2,L1,V0,M1} R(7137,53);r(234) { perp( skol27,
% 107.31/107.78 skol25, skol25, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8830) {G5,W5,D2,L1,V0,M1} R(8812,7) { perp( skol25, skol25,
% 107.31/107.78 skol27, skol25 ) }.
% 107.31/107.78 parent0: (131500) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol27,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131501) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol25,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 107.31/107.78 T, Z ) }.
% 107.31/107.78 parent1[0]: (8830) {G5,W5,D2,L1,V0,M1} R(8812,7) { perp( skol25, skol25,
% 107.31/107.78 skol27, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol25
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (8849) {G6,W5,D2,L1,V0,M1} R(8830,6) { perp( skol25, skol25,
% 107.31/107.78 skol25, skol27 ) }.
% 107.31/107.78 parent0: (131501) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol25,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131502) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol25,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 107.31/107.78 X, Y ) }.
% 107.31/107.78 parent1[0]: (8849) {G6,W5,D2,L1,V0,M1} R(8830,6) { perp( skol25, skol25,
% 107.31/107.78 skol25, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol25
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (9012) {G7,W5,D2,L1,V0,M1} R(8849,7) { perp( skol25, skol27,
% 107.31/107.78 skol25, skol25 ) }.
% 107.31/107.78 parent0: (131502) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol25,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131503) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0[0]: (303) {G2,W10,D2,L2,V2,M2} R(8,254) { ! perp( skol27, skol26, X
% 107.31/107.78 , Y ), para( skol20, skol25, X, Y ) }.
% 107.31/107.78 parent1[0]: (8801) {G7,W5,D2,L1,V0,M1} R(8712,7) { perp( skol27, skol26,
% 107.31/107.78 skol27, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18564) {G8,W5,D2,L1,V0,M1} R(303,8801) { para( skol20, skol25
% 107.31/107.78 , skol27, skol27 ) }.
% 107.31/107.78 parent0: (131503) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131504) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol26,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 parent0[0]: (303) {G2,W10,D2,L2,V2,M2} R(8,254) { ! perp( skol27, skol26, X
% 107.31/107.78 , Y ), para( skol20, skol25, X, Y ) }.
% 107.31/107.78 parent1[0]: (7242) {G3,W5,D2,L1,V0,M1} R(7133,53);r(162) { perp( skol27,
% 107.31/107.78 skol26, skol26, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18569) {G4,W5,D2,L1,V0,M1} R(303,7242) { para( skol20, skol25
% 107.31/107.78 , skol26, skol26 ) }.
% 107.31/107.78 parent0: (131504) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol26,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131505) {G2,W5,D2,L1,V0,M1} { para( skol27, skol27, skol25,
% 107.31/107.78 skol20 ) }.
% 107.31/107.78 parent0[0]: (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Y, X ) }.
% 107.31/107.78 parent1[0]: (18564) {G8,W5,D2,L1,V0,M1} R(303,8801) { para( skol20, skol25
% 107.31/107.78 , skol27, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol20
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18594) {G9,W5,D2,L1,V0,M1} R(18564,223) { para( skol27,
% 107.31/107.78 skol27, skol25, skol20 ) }.
% 107.31/107.78 parent0: (131505) {G2,W5,D2,L1,V0,M1} { para( skol27, skol27, skol25,
% 107.31/107.78 skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131506) {G3,W5,D2,L1,V0,M1} { para( skol25, skol20, skol25,
% 107.31/107.78 skol20 ) }.
% 107.31/107.78 parent0[0]: (242) {G2,W10,D2,L2,V4,M2} F(236) { ! para( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Z, T ) }.
% 107.31/107.78 parent1[0]: (18594) {G9,W5,D2,L1,V0,M1} R(18564,223) { para( skol27, skol27
% 107.31/107.78 , skol25, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol20
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18605) {G10,W5,D2,L1,V0,M1} R(18594,242) { para( skol25,
% 107.31/107.78 skol20, skol25, skol20 ) }.
% 107.31/107.78 parent0: (131506) {G3,W5,D2,L1,V0,M1} { para( skol25, skol20, skol25,
% 107.31/107.78 skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131507) {G2,W5,D2,L1,V0,M1} { para( skol25, skol20, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0[0]: (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Y, X ) }.
% 107.31/107.78 parent1[0]: (18594) {G9,W5,D2,L1,V0,M1} R(18564,223) { para( skol27, skol27
% 107.31/107.78 , skol25, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol20
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18616) {G10,W5,D2,L1,V0,M1} R(18594,223) { para( skol25,
% 107.31/107.78 skol20, skol27, skol27 ) }.
% 107.31/107.78 parent0: (131507) {G2,W5,D2,L1,V0,M1} { para( skol25, skol20, skol27,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131508) {G1,W12,D2,L3,V1,M3} { ! midp( skol27, X, skol25 ), !
% 107.31/107.78 coll( skol27, X, skol20 ), midp( skol27, X, skol20 ) }.
% 107.31/107.78 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 107.31/107.78 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 107.31/107.78 parent1[0]: (18594) {G9,W5,D2,L1,V0,M1} R(18564,223) { para( skol27, skol27
% 107.31/107.78 , skol25, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol20
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol25
% 107.31/107.78 U := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18623) {G10,W12,D2,L3,V1,M3} R(18594,45) { ! midp( skol27, X
% 107.31/107.78 , skol25 ), ! coll( skol27, X, skol20 ), midp( skol27, X, skol20 ) }.
% 107.31/107.78 parent0: (131508) {G1,W12,D2,L3,V1,M3} { ! midp( skol27, X, skol25 ), !
% 107.31/107.78 coll( skol27, X, skol20 ), midp( skol27, X, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 2 ==> 2
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131509) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ),
% 107.31/107.78 midp( X, skol20, skol20 ) }.
% 107.31/107.78 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 107.31/107.78 , T, Z, T ), midp( X, T, T ) }.
% 107.31/107.78 parent1[0]: (18605) {G10,W5,D2,L1,V0,M1} R(18594,242) { para( skol25,
% 107.31/107.78 skol20, skol25, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol20
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18630) {G11,W8,D2,L2,V1,M2} R(18605,138) { ! midp( X, skol25
% 107.31/107.78 , skol25 ), midp( X, skol20, skol20 ) }.
% 107.31/107.78 parent0: (131509) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ), midp
% 107.31/107.78 ( X, skol20, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131510) {G1,W12,D2,L3,V1,M3} { ! midp( skol25, X, skol27 ), !
% 107.31/107.78 coll( skol20, X, skol27 ), midp( skol20, X, skol27 ) }.
% 107.31/107.78 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 107.31/107.78 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 107.31/107.78 parent1[0]: (18616) {G10,W5,D2,L1,V0,M1} R(18594,223) { para( skol25,
% 107.31/107.78 skol20, skol27, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol20
% 107.31/107.78 T := skol27
% 107.31/107.78 U := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18719) {G11,W12,D2,L3,V1,M3} R(18616,45) { ! midp( skol25, X
% 107.31/107.78 , skol27 ), ! coll( skol20, X, skol27 ), midp( skol20, X, skol27 ) }.
% 107.31/107.78 parent0: (131510) {G1,W12,D2,L3,V1,M3} { ! midp( skol25, X, skol27 ), !
% 107.31/107.78 coll( skol20, X, skol27 ), midp( skol20, X, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 2 ==> 2
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131511) {G2,W5,D2,L1,V0,M1} { para( skol26, skol26, skol25,
% 107.31/107.78 skol20 ) }.
% 107.31/107.78 parent0[0]: (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Y, X ) }.
% 107.31/107.78 parent1[0]: (18569) {G4,W5,D2,L1,V0,M1} R(303,7242) { para( skol20, skol25
% 107.31/107.78 , skol26, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol20
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18869) {G5,W5,D2,L1,V0,M1} R(18569,223) { para( skol26,
% 107.31/107.78 skol26, skol25, skol20 ) }.
% 107.31/107.78 parent0: (131511) {G2,W5,D2,L1,V0,M1} { para( skol26, skol26, skol25,
% 107.31/107.78 skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131512) {G1,W12,D2,L3,V1,M3} { ! midp( skol26, X, skol25 ), !
% 107.31/107.78 coll( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 107.31/107.78 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 107.31/107.78 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 107.31/107.78 parent1[0]: (18869) {G5,W5,D2,L1,V0,M1} R(18569,223) { para( skol26, skol26
% 107.31/107.78 , skol25, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol20
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol25
% 107.31/107.78 U := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (18897) {G6,W12,D2,L3,V1,M3} R(18869,45) { ! midp( skol26, X,
% 107.31/107.78 skol25 ), ! coll( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 107.31/107.78 parent0: (131512) {G1,W12,D2,L3,V1,M3} { ! midp( skol26, X, skol25 ), !
% 107.31/107.78 coll( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 2 ==> 2
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131513) {G3,W5,D2,L1,V0,M1} { para( skol25, skol27, skol25,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0[0]: (314) {G2,W10,D2,L2,V4,M2} F(302) { ! perp( X, Y, Z, T ), para
% 107.31/107.78 ( X, Y, X, Y ) }.
% 107.31/107.78 parent1[0]: (9012) {G7,W5,D2,L1,V0,M1} R(8849,7) { perp( skol25, skol27,
% 107.31/107.78 skol25, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol25
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (19482) {G8,W5,D2,L1,V0,M1} R(314,9012) { para( skol25, skol27
% 107.31/107.78 , skol25, skol27 ) }.
% 107.31/107.78 parent0: (131513) {G3,W5,D2,L1,V0,M1} { para( skol25, skol27, skol25,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131514) {G2,W5,D2,L1,V0,M1} { para( skol27, skol25, skol25,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0[1]: (222) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 107.31/107.78 ( Z, T, Y, X ) }.
% 107.31/107.78 parent1[0]: (19482) {G8,W5,D2,L1,V0,M1} R(314,9012) { para( skol25, skol27
% 107.31/107.78 , skol25, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol27
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (19493) {G9,W5,D2,L1,V0,M1} R(19482,222) { para( skol27,
% 107.31/107.78 skol25, skol25, skol27 ) }.
% 107.31/107.78 parent0: (131514) {G2,W5,D2,L1,V0,M1} { para( skol27, skol25, skol25,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131515) {G1,W12,D2,L3,V1,M3} { ! midp( skol27, X, skol25 ), !
% 107.31/107.78 coll( skol25, X, skol27 ), midp( skol25, X, skol27 ) }.
% 107.31/107.78 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 107.31/107.78 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 107.31/107.78 parent1[0]: (19493) {G9,W5,D2,L1,V0,M1} R(19482,222) { para( skol27, skol25
% 107.31/107.78 , skol25, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol25
% 107.31/107.78 U := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131516) {G2,W12,D2,L3,V1,M3} { ! midp( skol27, X, skol25 ),
% 107.31/107.78 midp( skol25, X, skol27 ), ! midp( skol27, X, skol25 ) }.
% 107.31/107.78 parent0[1]: (131515) {G1,W12,D2,L3,V1,M3} { ! midp( skol27, X, skol25 ), !
% 107.31/107.78 coll( skol25, X, skol27 ), midp( skol25, X, skol27 ) }.
% 107.31/107.78 parent1[0]: (753) {G10,W8,D2,L2,V3,M2} R(734,69) { coll( X, Y, Z ), ! midp
% 107.31/107.78 ( Z, Y, X ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := skol25
% 107.31/107.78 Y := X
% 107.31/107.78 Z := skol27
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 factor: (131517) {G2,W8,D2,L2,V1,M2} { ! midp( skol27, X, skol25 ), midp(
% 107.31/107.78 skol25, X, skol27 ) }.
% 107.31/107.78 parent0[0, 2]: (131516) {G2,W12,D2,L3,V1,M3} { ! midp( skol27, X, skol25 )
% 107.31/107.78 , midp( skol25, X, skol27 ), ! midp( skol27, X, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (19518) {G11,W8,D2,L2,V1,M2} R(19493,45);r(753) { ! midp(
% 107.31/107.78 skol27, X, skol25 ), midp( skol25, X, skol27 ) }.
% 107.31/107.78 parent0: (131517) {G2,W8,D2,L2,V1,M2} { ! midp( skol27, X, skol25 ), midp
% 107.31/107.78 ( skol25, X, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131518) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ),
% 107.31/107.78 skol27, X ) }.
% 107.31/107.78 parent0[0]: (8088) {G5,W10,D3,L2,V1,M2} R(144,342);r(348) { ! coll( skol25
% 107.31/107.78 , skol27, skol25 ), midp( skol7( skol27, X ), skol27, X ) }.
% 107.31/107.78 parent1[0]: (259) {G6,W4,D2,L1,V0,M1} R(197,251) { coll( skol25, skol27,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (20056) {G7,W6,D3,L1,V1,M1} S(8088);r(259) { midp( skol7(
% 107.31/107.78 skol27, X ), skol27, X ) }.
% 107.31/107.78 parent0: (131518) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), skol27,
% 107.31/107.78 X ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131519) {G8,W4,D2,L1,V1,M1} { coll( X, skol27, skol20 ) }.
% 107.31/107.78 parent0[1]: (1681) {G12,W8,D2,L2,V2,M2} R(1662,805) { coll( X, skol27,
% 107.31/107.78 skol20 ), ! midp( Y, skol27, X ) }.
% 107.31/107.78 parent1[0]: (20056) {G7,W6,D3,L1,V1,M1} S(8088);r(259) { midp( skol7(
% 107.31/107.78 skol27, X ), skol27, X ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol7( skol27, X )
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (20268) {G13,W4,D2,L1,V1,M1} R(20056,1681) { coll( X, skol27,
% 107.31/107.78 skol20 ) }.
% 107.31/107.78 parent0: (131519) {G8,W4,D2,L1,V1,M1} { coll( X, skol27, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131520) {G8,W4,D2,L1,V1,M1} { coll( skol20, skol27, X ) }.
% 107.31/107.78 parent0[1]: (3235) {G14,W8,D2,L2,V2,M2} R(3227,160) { coll( skol20, skol27
% 107.31/107.78 , X ), ! midp( Y, skol27, X ) }.
% 107.31/107.78 parent1[0]: (20056) {G7,W6,D3,L1,V1,M1} S(8088);r(259) { midp( skol7(
% 107.31/107.78 skol27, X ), skol27, X ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol7( skol27, X )
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (20275) {G15,W4,D2,L1,V1,M1} R(20056,3235) { coll( skol20,
% 107.31/107.78 skol27, X ) }.
% 107.31/107.78 parent0: (131520) {G8,W4,D2,L1,V1,M1} { coll( skol20, skol27, X ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131521) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), X,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.31/107.78 }.
% 107.31/107.78 parent1[0]: (20056) {G7,W6,D3,L1,V1,M1} S(8088);r(259) { midp( skol7(
% 107.31/107.78 skol27, X ), skol27, X ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol7( skol27, X )
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (20319) {G8,W6,D3,L1,V1,M1} R(20056,10) { midp( skol7( skol27
% 107.31/107.78 , X ), X, skol27 ) }.
% 107.31/107.78 parent0: (131521) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), X,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131522) {G2,W4,D2,L1,V1,M1} { coll( skol20, X, skol27 ) }.
% 107.31/107.78 parent0[1]: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 107.31/107.78 Z, X ) }.
% 107.31/107.78 parent1[0]: (20268) {G13,W4,D2,L1,V1,M1} R(20056,1681) { coll( X, skol27,
% 107.31/107.78 skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol20
% 107.31/107.78 Y := X
% 107.31/107.78 Z := skol27
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (20332) {G14,W4,D2,L1,V1,M1} R(20268,168) { coll( skol20, X,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 parent0: (131522) {G2,W4,D2,L1,V1,M1} { coll( skol20, X, skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131524) {G2,W8,D2,L2,V2,M2} { ! coll( skol20, skol27, X ),
% 107.31/107.78 coll( X, Y, skol20 ) }.
% 107.31/107.78 parent0[2]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( Z
% 107.31/107.78 , T, X ), ! coll( X, T, Y ) }.
% 107.31/107.78 parent1[0]: (20332) {G14,W4,D2,L1,V1,M1} R(20268,168) { coll( skol20, X,
% 107.31/107.78 skol27 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol20
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := X
% 107.31/107.78 T := Y
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := Y
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131525) {G3,W4,D2,L1,V2,M1} { coll( X, Y, skol20 ) }.
% 107.31/107.78 parent0[0]: (131524) {G2,W8,D2,L2,V2,M2} { ! coll( skol20, skol27, X ),
% 107.31/107.78 coll( X, Y, skol20 ) }.
% 107.31/107.78 parent1[0]: (20275) {G15,W4,D2,L1,V1,M1} R(20056,3235) { coll( skol20,
% 107.31/107.78 skol27, X ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (20334) {G16,W4,D2,L1,V2,M1} R(20332,193);r(20275) { coll( X,
% 107.31/107.78 Y, skol20 ) }.
% 107.31/107.78 parent0: (131525) {G3,W4,D2,L1,V2,M1} { coll( X, Y, skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131526) {G2,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 107.31/107.78 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 107.31/107.78 Z, X ) }.
% 107.31/107.78 parent1[0]: (20334) {G16,W4,D2,L1,V2,M1} R(20332,193);r(20275) { coll( X, Y
% 107.31/107.78 , skol20 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 Z := skol20
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (20370) {G17,W4,D2,L1,V2,M1} R(20334,169) { coll( X, skol20, Y
% 107.31/107.78 ) }.
% 107.31/107.78 parent0: (131526) {G2,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := Y
% 107.31/107.78 Y := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131527) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 107.31/107.78 , X, Z ) }.
% 107.31/107.78 parent0[0]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 107.31/107.78 X, Y, T ), coll( Z, X, T ) }.
% 107.31/107.78 parent1[0]: (20370) {G17,W4,D2,L1,V2,M1} R(20334,169) { coll( X, skol20, Y
% 107.31/107.78 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol20
% 107.31/107.78 Z := Y
% 107.31/107.78 T := Z
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131529) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 107.31/107.78 parent0[0]: (131527) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 107.31/107.78 , X, Z ) }.
% 107.31/107.78 parent1[0]: (20370) {G17,W4,D2,L1,V2,M1} R(20334,169) { coll( X, skol20, Y
% 107.31/107.78 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Z
% 107.31/107.78 Z := Y
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (20494) {G18,W4,D2,L1,V3,M1} R(20370,194);r(20370) { coll( Z,
% 107.31/107.78 X, Y ) }.
% 107.31/107.78 parent0: (131529) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := Y
% 107.31/107.78 Z := Z
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131530) {G3,W5,D2,L1,V0,M1} { para( skol26, skol23, skol26,
% 107.31/107.78 skol23 ) }.
% 107.31/107.78 parent0[0]: (315) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Z, T ) }.
% 107.31/107.78 parent1[0]: (8537) {G4,W7,D3,L1,V0,M1} R(7136,100) { perp( skol12( skol26,
% 107.31/107.78 skol23 ), skol26, skol26, skol23 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol12( skol26, skol23 )
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol23
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (21756) {G5,W5,D2,L1,V0,M1} R(8537,315) { para( skol26, skol23
% 107.31/107.78 , skol26, skol23 ) }.
% 107.31/107.78 parent0: (131530) {G3,W5,D2,L1,V0,M1} { para( skol26, skol23, skol26,
% 107.31/107.78 skol23 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131531) {G2,W5,D2,L1,V0,M1} { para( skol26, skol23, skol23,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 parent0[0]: (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Y, X ) }.
% 107.31/107.78 parent1[0]: (21756) {G5,W5,D2,L1,V0,M1} R(8537,315) { para( skol26, skol23
% 107.31/107.78 , skol26, skol23 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol23
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol23
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (21781) {G6,W5,D2,L1,V0,M1} R(21756,223) { para( skol26,
% 107.31/107.78 skol23, skol23, skol26 ) }.
% 107.31/107.78 parent0: (131531) {G2,W5,D2,L1,V0,M1} { para( skol26, skol23, skol23,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131532) {G3,W5,D2,L1,V0,M1} { para( skol23, skol26, skol23,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 parent0[0]: (242) {G2,W10,D2,L2,V4,M2} F(236) { ! para( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Z, T ) }.
% 107.31/107.78 parent1[0]: (21781) {G6,W5,D2,L1,V0,M1} R(21756,223) { para( skol26, skol23
% 107.31/107.78 , skol23, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol26
% 107.31/107.78 Y := skol23
% 107.31/107.78 Z := skol23
% 107.31/107.78 T := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (21786) {G7,W5,D2,L1,V0,M1} R(21781,242) { para( skol23,
% 107.31/107.78 skol26, skol23, skol26 ) }.
% 107.31/107.78 parent0: (131532) {G3,W5,D2,L1,V0,M1} { para( skol23, skol26, skol23,
% 107.31/107.78 skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131533) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ),
% 107.31/107.78 midp( X, skol26, skol26 ) }.
% 107.31/107.78 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 107.31/107.78 , T, Z, T ), midp( X, T, T ) }.
% 107.31/107.78 parent1[0]: (21786) {G7,W5,D2,L1,V0,M1} R(21781,242) { para( skol23, skol26
% 107.31/107.78 , skol23, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol23
% 107.31/107.78 Z := skol23
% 107.31/107.78 T := skol26
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (21818) {G8,W8,D2,L2,V1,M2} R(21786,138) { ! midp( X, skol23,
% 107.31/107.78 skol23 ), midp( X, skol26, skol26 ) }.
% 107.31/107.78 parent0: (131533) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ), midp
% 107.31/107.78 ( X, skol26, skol26 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131534) {G3,W5,D2,L1,V0,M1} { para( skol26, skol22, skol26,
% 107.31/107.78 skol22 ) }.
% 107.31/107.78 parent0[0]: (315) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Z, T ) }.
% 107.31/107.78 parent1[0]: (8436) {G4,W7,D3,L1,V0,M1} R(7135,100) { perp( skol12( skol26,
% 107.31/107.78 skol22 ), skol26, skol26, skol22 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol12( skol26, skol22 )
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol22
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (21950) {G5,W5,D2,L1,V0,M1} R(8436,315) { para( skol26, skol22
% 107.31/107.78 , skol26, skol22 ) }.
% 107.31/107.78 parent0: (131534) {G3,W5,D2,L1,V0,M1} { para( skol26, skol22, skol26,
% 107.31/107.78 skol22 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131535) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol26, skol26 ),
% 107.31/107.78 midp( X, skol22, skol22 ) }.
% 107.31/107.78 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 107.31/107.78 , T, Z, T ), midp( X, T, T ) }.
% 107.31/107.78 parent1[0]: (21950) {G5,W5,D2,L1,V0,M1} R(8436,315) { para( skol26, skol22
% 107.31/107.78 , skol26, skol22 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol26
% 107.31/107.78 Z := skol26
% 107.31/107.78 T := skol22
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (21977) {G6,W8,D2,L2,V1,M2} R(21950,138) { ! midp( X, skol26,
% 107.31/107.78 skol26 ), midp( X, skol22, skol22 ) }.
% 107.31/107.78 parent0: (131535) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol26, skol26 ), midp
% 107.31/107.78 ( X, skol22, skol22 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131536) {G3,W5,D2,L1,V0,M1} { para( skol25, skol22, skol25,
% 107.31/107.78 skol22 ) }.
% 107.31/107.78 parent0[0]: (315) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Z, T ) }.
% 107.31/107.78 parent1[0]: (8363) {G3,W7,D3,L1,V0,M1} R(7134,100) { perp( skol12( skol25,
% 107.31/107.78 skol22 ), skol25, skol25, skol22 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol12( skol25, skol22 )
% 107.31/107.78 Y := skol25
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol22
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (22093) {G4,W5,D2,L1,V0,M1} R(8363,315) { para( skol25, skol22
% 107.31/107.78 , skol25, skol22 ) }.
% 107.31/107.78 parent0: (131536) {G3,W5,D2,L1,V0,M1} { para( skol25, skol22, skol25,
% 107.31/107.78 skol22 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131537) {G2,W5,D2,L1,V0,M1} { para( skol25, skol22, skol22,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 parent0[0]: (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Y, X ) }.
% 107.31/107.78 parent1[0]: (22093) {G4,W5,D2,L1,V0,M1} R(8363,315) { para( skol25, skol22
% 107.31/107.78 , skol25, skol22 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol25
% 107.31/107.78 Y := skol22
% 107.31/107.78 Z := skol25
% 107.31/107.78 T := skol22
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (22117) {G5,W5,D2,L1,V0,M1} R(22093,223) { para( skol25,
% 107.31/107.78 skol22, skol22, skol25 ) }.
% 107.31/107.78 parent0: (131537) {G2,W5,D2,L1,V0,M1} { para( skol25, skol22, skol22,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131538) {G3,W5,D2,L1,V0,M1} { para( skol22, skol25, skol22,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 parent0[0]: (242) {G2,W10,D2,L2,V4,M2} F(236) { ! para( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Z, T ) }.
% 107.31/107.78 parent1[0]: (22117) {G5,W5,D2,L1,V0,M1} R(22093,223) { para( skol25, skol22
% 107.31/107.78 , skol22, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol25
% 107.31/107.78 Y := skol22
% 107.31/107.78 Z := skol22
% 107.31/107.78 T := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (22122) {G6,W5,D2,L1,V0,M1} R(22117,242) { para( skol22,
% 107.31/107.78 skol25, skol22, skol25 ) }.
% 107.31/107.78 parent0: (131538) {G3,W5,D2,L1,V0,M1} { para( skol22, skol25, skol22,
% 107.31/107.78 skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131539) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol22, skol22 ),
% 107.31/107.78 midp( X, skol25, skol25 ) }.
% 107.31/107.78 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 107.31/107.78 , T, Z, T ), midp( X, T, T ) }.
% 107.31/107.78 parent1[0]: (22122) {G6,W5,D2,L1,V0,M1} R(22117,242) { para( skol22, skol25
% 107.31/107.78 , skol22, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol22
% 107.31/107.78 Z := skol22
% 107.31/107.78 T := skol25
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (22126) {G7,W8,D2,L2,V1,M2} R(22122,138) { ! midp( X, skol22,
% 107.31/107.78 skol22 ), midp( X, skol25, skol25 ) }.
% 107.31/107.78 parent0: (131539) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol22, skol22 ), midp
% 107.31/107.78 ( X, skol25, skol25 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131540) {G3,W5,D2,L1,V0,M1} { para( skol27, skol23, skol27,
% 107.31/107.78 skol23 ) }.
% 107.31/107.78 parent0[0]: (315) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Z, T ) }.
% 107.31/107.78 parent1[0]: (7241) {G3,W7,D3,L1,V0,M1} R(7133,100) { perp( skol12( skol27,
% 107.31/107.78 skol23 ), skol27, skol27, skol23 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol12( skol27, skol23 )
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol23
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (22222) {G4,W5,D2,L1,V0,M1} R(7241,315) { para( skol27, skol23
% 107.31/107.78 , skol27, skol23 ) }.
% 107.31/107.78 parent0: (131540) {G3,W5,D2,L1,V0,M1} { para( skol27, skol23, skol27,
% 107.31/107.78 skol23 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131541) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol27 ),
% 107.31/107.78 midp( X, skol23, skol23 ) }.
% 107.31/107.78 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 107.31/107.78 , T, Z, T ), midp( X, T, T ) }.
% 107.31/107.78 parent1[0]: (22222) {G4,W5,D2,L1,V0,M1} R(7241,315) { para( skol27, skol23
% 107.31/107.78 , skol27, skol23 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 Y := skol27
% 107.31/107.78 Z := skol27
% 107.31/107.78 T := skol23
% 107.31/107.78 end
% 107.31/107.78 substitution1:
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 subsumption: (22248) {G5,W8,D2,L2,V1,M2} R(22222,138) { ! midp( X, skol27,
% 107.31/107.78 skol27 ), midp( X, skol23, skol23 ) }.
% 107.31/107.78 parent0: (131541) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol27 ), midp
% 107.31/107.78 ( X, skol23, skol23 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := X
% 107.31/107.78 end
% 107.31/107.78 permutation0:
% 107.31/107.78 0 ==> 0
% 107.31/107.78 1 ==> 1
% 107.31/107.78 end
% 107.31/107.78
% 107.31/107.78 resolution: (131542) {G3,W5,D2,L1,V0,M1} { para( skol25, skol24, skol25,
% 107.31/107.78 skol24 ) }.
% 107.31/107.78 parent0[0]: (315) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para
% 107.31/107.78 ( Z, T, Z, T ) }.
% 107.31/107.78 parent1[0]: (7145) {G3,W7,D3,L1,V0,M1} R(7132,100) { perp( skol12( skol25,
% 107.31/107.78 skol24 ), skol25, skol25, skol24 ) }.
% 107.31/107.78 substitution0:
% 107.31/107.78 X := skol12( skol25, skol24 )
% 107.31/107.78 Y := skol25
% 107.39/107.78 Z := skol25
% 107.39/107.78 T := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (22350) {G4,W5,D2,L1,V0,M1} R(7145,315) { para( skol25, skol24
% 107.39/107.78 , skol25, skol24 ) }.
% 107.39/107.78 parent0: (131542) {G3,W5,D2,L1,V0,M1} { para( skol25, skol24, skol25,
% 107.39/107.78 skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131543) {G2,W5,D2,L1,V0,M1} { para( skol25, skol24, skol24,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 parent0[0]: (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 107.39/107.78 ( Z, T, Y, X ) }.
% 107.39/107.78 parent1[0]: (22350) {G4,W5,D2,L1,V0,M1} R(7145,315) { para( skol25, skol24
% 107.39/107.78 , skol25, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol24
% 107.39/107.78 Z := skol25
% 107.39/107.78 T := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (22374) {G5,W5,D2,L1,V0,M1} R(22350,223) { para( skol25,
% 107.39/107.78 skol24, skol24, skol25 ) }.
% 107.39/107.78 parent0: (131543) {G2,W5,D2,L1,V0,M1} { para( skol25, skol24, skol24,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131544) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ),
% 107.39/107.78 midp( X, skol24, skol24 ) }.
% 107.39/107.78 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 107.39/107.78 , T, Z, T ), midp( X, T, T ) }.
% 107.39/107.78 parent1[0]: (22350) {G4,W5,D2,L1,V0,M1} R(7145,315) { para( skol25, skol24
% 107.39/107.78 , skol25, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol25
% 107.39/107.78 Z := skol25
% 107.39/107.78 T := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (22376) {G5,W8,D2,L2,V1,M2} R(22350,138) { ! midp( X, skol25,
% 107.39/107.78 skol25 ), midp( X, skol24, skol24 ) }.
% 107.39/107.78 parent0: (131544) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ), midp
% 107.39/107.78 ( X, skol24, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131545) {G3,W5,D2,L1,V0,M1} { para( skol24, skol25, skol24,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 parent0[0]: (242) {G2,W10,D2,L2,V4,M2} F(236) { ! para( X, Y, Z, T ), para
% 107.39/107.78 ( Z, T, Z, T ) }.
% 107.39/107.78 parent1[0]: (22374) {G5,W5,D2,L1,V0,M1} R(22350,223) { para( skol25, skol24
% 107.39/107.78 , skol24, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol24
% 107.39/107.78 Z := skol24
% 107.39/107.78 T := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (22379) {G6,W5,D2,L1,V0,M1} R(22374,242) { para( skol24,
% 107.39/107.78 skol25, skol24, skol25 ) }.
% 107.39/107.78 parent0: (131545) {G3,W5,D2,L1,V0,M1} { para( skol24, skol25, skol24,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131546) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol24, skol24 ),
% 107.39/107.78 midp( X, skol25, skol25 ) }.
% 107.39/107.78 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 107.39/107.78 , T, Z, T ), midp( X, T, T ) }.
% 107.39/107.78 parent1[0]: (22379) {G6,W5,D2,L1,V0,M1} R(22374,242) { para( skol24, skol25
% 107.39/107.78 , skol24, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol24
% 107.39/107.78 Z := skol24
% 107.39/107.78 T := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (22383) {G7,W8,D2,L2,V1,M2} R(22379,138) { ! midp( X, skol24,
% 107.39/107.78 skol24 ), midp( X, skol25, skol25 ) }.
% 107.39/107.78 parent0: (131546) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol24, skol24 ), midp
% 107.39/107.78 ( X, skol25, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131547) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 107.39/107.78 skol23, skol23 ) }.
% 107.39/107.78 parent0[0]: (22248) {G5,W8,D2,L2,V1,M2} R(22222,138) { ! midp( X, skol27,
% 107.39/107.78 skol27 ), midp( X, skol23, skol23 ) }.
% 107.39/107.78 parent1[0]: (20319) {G8,W6,D3,L1,V1,M1} R(20056,10) { midp( skol7( skol27,
% 107.39/107.78 X ), X, skol27 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol7( skol27, skol27 )
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := skol27
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (24975) {G9,W6,D3,L1,V0,M1} R(22248,20319) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol23, skol23 ) }.
% 107.39/107.78 parent0: (131547) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 107.39/107.78 skol23, skol23 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131548) {G6,W8,D2,L2,V1,M2} { midp( X, skol24, skol24 ), !
% 107.39/107.78 midp( X, skol22, skol22 ) }.
% 107.39/107.78 parent0[0]: (22376) {G5,W8,D2,L2,V1,M2} R(22350,138) { ! midp( X, skol25,
% 107.39/107.78 skol25 ), midp( X, skol24, skol24 ) }.
% 107.39/107.78 parent1[1]: (22126) {G7,W8,D2,L2,V1,M2} R(22122,138) { ! midp( X, skol22,
% 107.39/107.78 skol22 ), midp( X, skol25, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (25000) {G8,W8,D2,L2,V1,M2} R(22126,22376) { ! midp( X, skol22
% 107.39/107.78 , skol22 ), midp( X, skol24, skol24 ) }.
% 107.39/107.78 parent0: (131548) {G6,W8,D2,L2,V1,M2} { midp( X, skol24, skol24 ), ! midp
% 107.39/107.78 ( X, skol22, skol22 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 1
% 107.39/107.78 1 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131549) {G7,W8,D2,L2,V1,M2} { midp( X, skol24, skol24 ), !
% 107.39/107.78 midp( X, skol26, skol26 ) }.
% 107.39/107.78 parent0[0]: (25000) {G8,W8,D2,L2,V1,M2} R(22126,22376) { ! midp( X, skol22
% 107.39/107.78 , skol22 ), midp( X, skol24, skol24 ) }.
% 107.39/107.78 parent1[1]: (21977) {G6,W8,D2,L2,V1,M2} R(21950,138) { ! midp( X, skol26,
% 107.39/107.78 skol26 ), midp( X, skol22, skol22 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (25103) {G9,W8,D2,L2,V1,M2} R(21977,25000) { ! midp( X, skol26
% 107.39/107.78 , skol26 ), midp( X, skol24, skol24 ) }.
% 107.39/107.78 parent0: (131549) {G7,W8,D2,L2,V1,M2} { midp( X, skol24, skol24 ), ! midp
% 107.39/107.78 ( X, skol26, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 1
% 107.39/107.78 1 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131550) {G9,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 107.39/107.78 skol26, skol26 ) }.
% 107.39/107.78 parent0[0]: (21818) {G8,W8,D2,L2,V1,M2} R(21786,138) { ! midp( X, skol23,
% 107.39/107.78 skol23 ), midp( X, skol26, skol26 ) }.
% 107.39/107.78 parent1[0]: (24975) {G9,W6,D3,L1,V0,M1} R(22248,20319) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol23, skol23 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol7( skol27, skol27 )
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (25172) {G10,W6,D3,L1,V0,M1} R(21818,24975) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol26, skol26 ) }.
% 107.39/107.78 parent0: (131550) {G9,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 107.39/107.78 skol26, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131551) {G10,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 )
% 107.39/107.78 , skol24, skol24 ) }.
% 107.39/107.78 parent0[0]: (25103) {G9,W8,D2,L2,V1,M2} R(21977,25000) { ! midp( X, skol26
% 107.39/107.78 , skol26 ), midp( X, skol24, skol24 ) }.
% 107.39/107.78 parent1[0]: (25172) {G10,W6,D3,L1,V0,M1} R(21818,24975) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol26, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol7( skol27, skol27 )
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (25184) {G11,W6,D3,L1,V0,M1} R(25172,25103) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol24, skol24 ) }.
% 107.39/107.78 parent0: (131551) {G10,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 107.39/107.78 skol24, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131552) {G8,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 107.39/107.78 skol25, skol25 ) }.
% 107.39/107.78 parent0[0]: (22383) {G7,W8,D2,L2,V1,M2} R(22379,138) { ! midp( X, skol24,
% 107.39/107.78 skol24 ), midp( X, skol25, skol25 ) }.
% 107.39/107.78 parent1[0]: (25184) {G11,W6,D3,L1,V0,M1} R(25172,25103) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol24, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol7( skol27, skol27 )
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (25198) {G12,W6,D3,L1,V0,M1} R(25184,22383) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol25, skol25 ) }.
% 107.39/107.78 parent0: (131552) {G8,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 107.39/107.78 skol25, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131553) {G1,W8,D2,L2,V1,M2} { midp( skol25, X, skol27 ), !
% 107.39/107.78 midp( skol27, skol25, X ) }.
% 107.39/107.78 parent0[0]: (19518) {G11,W8,D2,L2,V1,M2} R(19493,45);r(753) { ! midp(
% 107.39/107.78 skol27, X, skol25 ), midp( skol25, X, skol27 ) }.
% 107.39/107.78 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol25
% 107.39/107.78 Z := skol27
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (25848) {G12,W8,D2,L2,V1,M2} R(19518,10) { midp( skol25, X,
% 107.39/107.78 skol27 ), ! midp( skol27, skol25, X ) }.
% 107.39/107.78 parent0: (131553) {G1,W8,D2,L2,V1,M2} { midp( skol25, X, skol27 ), ! midp
% 107.39/107.78 ( skol27, skol25, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131554) {G12,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 )
% 107.39/107.78 , skol20, skol20 ) }.
% 107.39/107.78 parent0[0]: (18630) {G11,W8,D2,L2,V1,M2} R(18605,138) { ! midp( X, skol25,
% 107.39/107.78 skol25 ), midp( X, skol20, skol20 ) }.
% 107.39/107.78 parent1[0]: (25198) {G12,W6,D3,L1,V0,M1} R(25184,22383) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol25, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol7( skol27, skol27 )
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (26554) {G13,W6,D3,L1,V0,M1} R(18630,25198) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol20, skol20 ) }.
% 107.39/107.78 parent0: (131554) {G12,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 107.39/107.78 skol20, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131555) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol26,
% 107.39/107.78 skol26, skol26 ), cong( skol25, skol26, skol25, skol26 ) }.
% 107.39/107.78 parent0[0]: (989) {G2,W15,D2,L3,V3,M3} F(957) { ! cyclic( X, Y, Z, X ), !
% 107.39/107.78 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 107.39/107.78 parent1[0]: (8230) {G9,W5,D2,L1,V0,M1} R(8225,15) { cyclic( skol25, skol26
% 107.39/107.78 , skol26, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := skol26
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131556) {G4,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol25,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 parent0[0]: (131555) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol26,
% 107.39/107.78 skol26, skol26 ), cong( skol25, skol26, skol25, skol26 ) }.
% 107.39/107.78 parent1[0]: (7314) {G3,W5,D2,L1,V0,M1} R(128,2484) { cyclic( skol25, skol26
% 107.39/107.78 , skol26, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (27498) {G10,W5,D2,L1,V0,M1} R(989,8230);r(7314) { cong(
% 107.39/107.78 skol25, skol26, skol25, skol26 ) }.
% 107.39/107.78 parent0: (131556) {G4,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol25,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131557) {G7,W8,D2,L2,V1,M2} { ! midp( skol26, X, skol25 ),
% 107.39/107.78 midp( skol26, X, skol20 ) }.
% 107.39/107.78 parent0[1]: (18897) {G6,W12,D2,L3,V1,M3} R(18869,45) { ! midp( skol26, X,
% 107.39/107.78 skol25 ), ! coll( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 107.39/107.78 parent1[0]: (20494) {G18,W4,D2,L1,V3,M1} R(20370,194);r(20370) { coll( Z, X
% 107.39/107.78 , Y ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := skol26
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (40162) {G19,W8,D2,L2,V1,M2} S(18897);r(20494) { ! midp(
% 107.39/107.78 skol26, X, skol25 ), midp( skol26, X, skol20 ) }.
% 107.39/107.78 parent0: (131557) {G7,W8,D2,L2,V1,M2} { ! midp( skol26, X, skol25 ), midp
% 107.39/107.78 ( skol26, X, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131558) {G12,W8,D2,L2,V1,M2} { ! midp( skol25, X, skol27 ),
% 107.39/107.78 midp( skol20, X, skol27 ) }.
% 107.39/107.78 parent0[1]: (18719) {G11,W12,D2,L3,V1,M3} R(18616,45) { ! midp( skol25, X,
% 107.39/107.78 skol27 ), ! coll( skol20, X, skol27 ), midp( skol20, X, skol27 ) }.
% 107.39/107.78 parent1[0]: (20494) {G18,W4,D2,L1,V3,M1} R(20370,194);r(20370) { coll( Z, X
% 107.39/107.78 , Y ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol27
% 107.39/107.78 Z := skol20
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (40169) {G19,W8,D2,L2,V1,M2} S(18719);r(20494) { ! midp(
% 107.39/107.78 skol25, X, skol27 ), midp( skol20, X, skol27 ) }.
% 107.39/107.78 parent0: (131558) {G12,W8,D2,L2,V1,M2} { ! midp( skol25, X, skol27 ), midp
% 107.39/107.78 ( skol20, X, skol27 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131559) {G11,W8,D2,L2,V1,M2} { ! midp( skol27, X, skol25 ),
% 107.39/107.78 midp( skol27, X, skol20 ) }.
% 107.39/107.78 parent0[1]: (18623) {G10,W12,D2,L3,V1,M3} R(18594,45) { ! midp( skol27, X,
% 107.39/107.78 skol25 ), ! coll( skol27, X, skol20 ), midp( skol27, X, skol20 ) }.
% 107.39/107.78 parent1[0]: (20494) {G18,W4,D2,L1,V3,M1} R(20370,194);r(20370) { coll( Z, X
% 107.39/107.78 , Y ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := skol27
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (40177) {G19,W8,D2,L2,V1,M2} S(18623);r(20494) { ! midp(
% 107.39/107.78 skol27, X, skol25 ), midp( skol27, X, skol20 ) }.
% 107.39/107.78 parent0: (131559) {G11,W8,D2,L2,V1,M2} { ! midp( skol27, X, skol25 ), midp
% 107.39/107.78 ( skol27, X, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131560) {G13,W8,D2,L2,V1,M2} { midp( skol20, X, skol27 ), !
% 107.39/107.78 midp( skol27, skol25, X ) }.
% 107.39/107.78 parent0[0]: (40169) {G19,W8,D2,L2,V1,M2} S(18719);r(20494) { ! midp( skol25
% 107.39/107.78 , X, skol27 ), midp( skol20, X, skol27 ) }.
% 107.39/107.78 parent1[0]: (25848) {G12,W8,D2,L2,V1,M2} R(19518,10) { midp( skol25, X,
% 107.39/107.78 skol27 ), ! midp( skol27, skol25, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (45452) {G20,W8,D2,L2,V1,M2} R(40169,25848) { midp( skol20, X
% 107.39/107.78 , skol27 ), ! midp( skol27, skol25, X ) }.
% 107.39/107.78 parent0: (131560) {G13,W8,D2,L2,V1,M2} { midp( skol20, X, skol27 ), ! midp
% 107.39/107.78 ( skol27, skol25, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131562) {G1,W8,D2,L2,V1,M2} { midp( skol20, skol27, X ), !
% 107.39/107.78 midp( skol27, skol25, X ) }.
% 107.39/107.78 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.39/107.78 }.
% 107.39/107.78 parent1[0]: (45452) {G20,W8,D2,L2,V1,M2} R(40169,25848) { midp( skol20, X,
% 107.39/107.78 skol27 ), ! midp( skol27, skol25, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol27
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (45671) {G21,W8,D2,L2,V1,M2} R(45452,10) { ! midp( skol27,
% 107.39/107.78 skol25, X ), midp( skol20, skol27, X ) }.
% 107.39/107.78 parent0: (131562) {G1,W8,D2,L2,V1,M2} { midp( skol20, skol27, X ), ! midp
% 107.39/107.78 ( skol27, skol25, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 1
% 107.39/107.78 1 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131563) {G1,W8,D2,L2,V1,M2} { midp( skol20, skol27, X ), !
% 107.39/107.78 midp( skol27, X, skol25 ) }.
% 107.39/107.78 parent0[0]: (45671) {G21,W8,D2,L2,V1,M2} R(45452,10) { ! midp( skol27,
% 107.39/107.78 skol25, X ), midp( skol20, skol27, X ) }.
% 107.39/107.78 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol27
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (45740) {G22,W8,D2,L2,V1,M2} R(45671,10) { midp( skol20,
% 107.39/107.78 skol27, X ), ! midp( skol27, X, skol25 ) }.
% 107.39/107.78 parent0: (131563) {G1,W8,D2,L2,V1,M2} { midp( skol20, skol27, X ), ! midp
% 107.39/107.78 ( skol27, X, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131564) {G3,W5,D2,L1,V1,M1} { para( X, skol27, skol27, X )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (2021) {G2,W9,D2,L2,V3,M2} F(2005) { ! midp( X, Y, Z ), para( Y
% 107.39/107.78 , Z, Z, Y ) }.
% 107.39/107.78 parent1[0]: (20319) {G8,W6,D3,L1,V1,M1} R(20056,10) { midp( skol7( skol27,
% 107.39/107.78 X ), X, skol27 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol7( skol27, X )
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol27
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (78952) {G9,W5,D2,L1,V1,M1} R(2021,20319) { para( X, skol27,
% 107.39/107.78 skol27, X ) }.
% 107.39/107.78 parent0: (131564) {G3,W5,D2,L1,V1,M1} { para( X, skol27, skol27, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131565) {G2,W5,D2,L1,V1,M1} { para( skol27, X, skol27, X )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 107.39/107.78 ( Z, T, Y, X ) }.
% 107.39/107.78 parent1[0]: (78952) {G9,W5,D2,L1,V1,M1} R(2021,20319) { para( X, skol27,
% 107.39/107.78 skol27, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol27
% 107.39/107.78 Z := skol27
% 107.39/107.78 T := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (79041) {G10,W5,D2,L1,V1,M1} R(78952,223) { para( skol27, X,
% 107.39/107.78 skol27, X ) }.
% 107.39/107.78 parent0: (131565) {G2,W5,D2,L1,V1,M1} { para( skol27, X, skol27, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131566) {G2,W5,D2,L1,V1,M1} { para( X, skol27, X, skol27 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[1]: (222) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 107.39/107.78 ( Z, T, Y, X ) }.
% 107.39/107.78 parent1[0]: (78952) {G9,W5,D2,L1,V1,M1} R(2021,20319) { para( X, skol27,
% 107.39/107.78 skol27, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol27
% 107.39/107.78 Z := X
% 107.39/107.78 T := skol27
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (79042) {G10,W5,D2,L1,V1,M1} R(78952,222) { para( X, skol27, X
% 107.39/107.78 , skol27 ) }.
% 107.39/107.78 parent0: (131566) {G2,W5,D2,L1,V1,M1} { para( X, skol27, X, skol27 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131567) {G2,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( X,
% 107.39/107.78 skol27, skol27 ) }.
% 107.39/107.78 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 107.39/107.78 , T, Z, T ), midp( X, T, T ) }.
% 107.39/107.78 parent1[0]: (79042) {G10,W5,D2,L1,V1,M1} R(78952,222) { para( X, skol27, X
% 107.39/107.78 , skol27 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 Z := Y
% 107.39/107.78 T := skol27
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := Y
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (79050) {G11,W8,D2,L2,V2,M2} R(79042,138) { ! midp( X, Y, Y )
% 107.39/107.78 , midp( X, skol27, skol27 ) }.
% 107.39/107.78 parent0: (131567) {G2,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( X, skol27
% 107.39/107.78 , skol27 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131569) {G2,W13,D2,L3,V3,M3} { ! para( skol27, Y, skol27, Y )
% 107.39/107.78 , midp( X, Y, Y ), ! midp( X, Z, Z ) }.
% 107.39/107.78 parent0[0]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 107.39/107.78 , T, Z, T ), midp( X, T, T ) }.
% 107.39/107.78 parent1[1]: (79050) {G11,W8,D2,L2,V2,M2} R(79042,138) { ! midp( X, Y, Y ),
% 107.39/107.78 midp( X, skol27, skol27 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol27
% 107.39/107.78 Z := skol27
% 107.39/107.78 T := Y
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Z
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131570) {G3,W8,D2,L2,V3,M2} { midp( Y, X, X ), ! midp( Y, Z,
% 107.39/107.78 Z ) }.
% 107.39/107.78 parent0[0]: (131569) {G2,W13,D2,L3,V3,M3} { ! para( skol27, Y, skol27, Y )
% 107.39/107.78 , midp( X, Y, Y ), ! midp( X, Z, Z ) }.
% 107.39/107.78 parent1[0]: (79041) {G10,W5,D2,L1,V1,M1} R(78952,223) { para( skol27, X,
% 107.39/107.78 skol27, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := Y
% 107.39/107.78 Y := X
% 107.39/107.78 Z := Z
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (80606) {G12,W8,D2,L2,V3,M2} R(79050,138);r(79041) { ! midp( X
% 107.39/107.78 , Y, Y ), midp( X, Z, Z ) }.
% 107.39/107.78 parent0: (131570) {G3,W8,D2,L2,V3,M2} { midp( Y, X, X ), ! midp( Y, Z, Z )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := Z
% 107.39/107.78 Y := X
% 107.39/107.78 Z := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 1
% 107.39/107.78 1 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131573) {G3,W12,D2,L3,V4,M3} { ! midp( X, Y, Z ), midp( Y, X
% 107.39/107.78 , Z ), ! midp( X, T, T ) }.
% 107.39/107.78 parent0[0]: (2024) {G2,W12,D2,L3,V4,M3} F(1996);r(166) { ! midp( X, X, Y )
% 107.39/107.78 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 107.39/107.78 parent1[1]: (80606) {G12,W8,D2,L2,V3,M2} R(79050,138);r(79041) { ! midp( X
% 107.39/107.78 , Y, Y ), midp( X, Z, Z ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := X
% 107.39/107.78 Z := Y
% 107.39/107.78 T := Z
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 Y := T
% 107.39/107.78 Z := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (80613) {G13,W12,D2,L3,V4,M3} R(80606,2024) { ! midp( X, Y, Y
% 107.39/107.78 ), ! midp( X, Z, T ), midp( Z, X, T ) }.
% 107.39/107.78 parent0: (131573) {G3,W12,D2,L3,V4,M3} { ! midp( X, Y, Z ), midp( Y, X, Z
% 107.39/107.78 ), ! midp( X, T, T ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Z
% 107.39/107.78 Z := T
% 107.39/107.78 T := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 1
% 107.39/107.78 1 ==> 2
% 107.39/107.78 2 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131577) {G13,W6,D3,L1,V1,M1} { midp( skol7( skol27, skol27 )
% 107.39/107.78 , X, X ) }.
% 107.39/107.78 parent0[0]: (80606) {G12,W8,D2,L2,V3,M2} R(79050,138);r(79041) { ! midp( X
% 107.39/107.78 , Y, Y ), midp( X, Z, Z ) }.
% 107.39/107.78 parent1[0]: (26554) {G13,W6,D3,L1,V0,M1} R(18630,25198) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), skol20, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol7( skol27, skol27 )
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (80710) {G14,W6,D3,L1,V1,M1} R(80606,26554) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), X, X ) }.
% 107.39/107.78 parent0: (131577) {G13,W6,D3,L1,V1,M1} { midp( skol7( skol27, skol27 ), X
% 107.39/107.78 , X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 factor: (131578) {G13,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( Y, X, Y )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0, 1]: (80613) {G13,W12,D2,L3,V4,M3} R(80606,2024) { ! midp( X, Y,
% 107.39/107.78 Y ), ! midp( X, Z, T ), midp( Z, X, T ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 Z := Y
% 107.39/107.78 T := Y
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (80719) {G14,W8,D2,L2,V2,M2} F(80613) { ! midp( X, Y, Y ),
% 107.39/107.78 midp( Y, X, Y ) }.
% 107.39/107.78 parent0: (131578) {G13,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( Y, X, Y
% 107.39/107.78 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131579) {G15,W6,D3,L1,V1,M1} { midp( X, skol7( skol27, skol27
% 107.39/107.78 ), X ) }.
% 107.39/107.78 parent0[0]: (80719) {G14,W8,D2,L2,V2,M2} F(80613) { ! midp( X, Y, Y ), midp
% 107.39/107.78 ( Y, X, Y ) }.
% 107.39/107.78 parent1[0]: (80710) {G14,W6,D3,L1,V1,M1} R(80606,26554) { midp( skol7(
% 107.39/107.78 skol27, skol27 ), X, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol7( skol27, skol27 )
% 107.39/107.78 Y := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (81109) {G15,W6,D3,L1,V1,M1} R(80719,80710) { midp( X, skol7(
% 107.39/107.78 skol27, skol27 ), X ) }.
% 107.39/107.78 parent0: (131579) {G15,W6,D3,L1,V1,M1} { midp( X, skol7( skol27, skol27 )
% 107.39/107.78 , X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131580) {G1,W6,D3,L1,V1,M1} { midp( X, X, skol7( skol27,
% 107.39/107.78 skol27 ) ) }.
% 107.39/107.78 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.39/107.78 }.
% 107.39/107.78 parent1[0]: (81109) {G15,W6,D3,L1,V1,M1} R(80719,80710) { midp( X, skol7(
% 107.39/107.78 skol27, skol27 ), X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol7( skol27, skol27 )
% 107.39/107.78 Z := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (81266) {G16,W6,D3,L1,V1,M1} R(81109,10) { midp( X, X, skol7(
% 107.39/107.78 skol27, skol27 ) ) }.
% 107.39/107.78 parent0: (131580) {G1,W6,D3,L1,V1,M1} { midp( X, X, skol7( skol27, skol27
% 107.39/107.78 ) ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131581) {G3,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), midp( Y, X,
% 107.39/107.78 Z ) }.
% 107.39/107.78 parent0[0]: (2024) {G2,W12,D2,L3,V4,M3} F(1996);r(166) { ! midp( X, X, Y )
% 107.39/107.78 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 107.39/107.78 parent1[0]: (81266) {G16,W6,D3,L1,V1,M1} R(81109,10) { midp( X, X, skol7(
% 107.39/107.78 skol27, skol27 ) ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol7( skol27, skol27 )
% 107.39/107.78 Z := Y
% 107.39/107.78 T := Z
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (81269) {G17,W8,D2,L2,V3,M2} R(81266,2024) { ! midp( X, Y, Z )
% 107.39/107.78 , midp( Y, X, Z ) }.
% 107.39/107.78 parent0: (131581) {G3,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), midp( Y, X, Z )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 Z := Z
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131583) {G2,W4,D2,L1,V0,M1} { midp( skol27, skol24, skol25 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (81269) {G17,W8,D2,L2,V3,M2} R(81266,2024) { ! midp( X, Y, Z )
% 107.39/107.78 , midp( Y, X, Z ) }.
% 107.39/107.78 parent1[0]: (342) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol24, skol27,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := skol27
% 107.39/107.78 Z := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (91623) {G18,W4,D2,L1,V0,M1} R(81269,342) { midp( skol27,
% 107.39/107.78 skol24, skol25 ) }.
% 107.39/107.78 parent0: (131583) {G2,W4,D2,L1,V0,M1} { midp( skol27, skol24, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131584) {G2,W4,D2,L1,V0,M1} { midp( skol26, skol22, skol25 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (81269) {G17,W8,D2,L2,V3,M2} R(81266,2024) { ! midp( X, Y, Z )
% 107.39/107.78 , midp( Y, X, Z ) }.
% 107.39/107.78 parent1[0]: (340) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol22, skol26,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol22
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (91625) {G18,W4,D2,L1,V0,M1} R(81269,340) { midp( skol26,
% 107.39/107.78 skol22, skol25 ) }.
% 107.39/107.78 parent0: (131584) {G2,W4,D2,L1,V0,M1} { midp( skol26, skol22, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131585) {G19,W4,D2,L1,V0,M1} { midp( skol27, skol24, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (40177) {G19,W8,D2,L2,V1,M2} S(18623);r(20494) { ! midp( skol27
% 107.39/107.78 , X, skol25 ), midp( skol27, X, skol20 ) }.
% 107.39/107.78 parent1[0]: (91623) {G18,W4,D2,L1,V0,M1} R(81269,342) { midp( skol27,
% 107.39/107.78 skol24, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (91693) {G20,W4,D2,L1,V0,M1} R(91623,40177) { midp( skol27,
% 107.39/107.78 skol24, skol20 ) }.
% 107.39/107.78 parent0: (131585) {G19,W4,D2,L1,V0,M1} { midp( skol27, skol24, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131586) {G19,W4,D2,L1,V0,M1} { midp( skol20, skol27, skol24 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[1]: (45740) {G22,W8,D2,L2,V1,M2} R(45671,10) { midp( skol20, skol27
% 107.39/107.78 , X ), ! midp( skol27, X, skol25 ) }.
% 107.39/107.78 parent1[0]: (91623) {G18,W4,D2,L1,V0,M1} R(81269,342) { midp( skol27,
% 107.39/107.78 skol24, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (91699) {G23,W4,D2,L1,V0,M1} R(91623,45740) { midp( skol20,
% 107.39/107.78 skol27, skol24 ) }.
% 107.39/107.78 parent0: (131586) {G19,W4,D2,L1,V0,M1} { midp( skol20, skol27, skol24 )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131587) {G18,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (81269) {G17,W8,D2,L2,V3,M2} R(81266,2024) { ! midp( X, Y, Z )
% 107.39/107.78 , midp( Y, X, Z ) }.
% 107.39/107.78 parent1[0]: (91693) {G20,W4,D2,L1,V0,M1} R(91623,40177) { midp( skol27,
% 107.39/107.78 skol24, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol27
% 107.39/107.78 Y := skol24
% 107.39/107.78 Z := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (91847) {G21,W4,D2,L1,V0,M1} R(91693,81269) { midp( skol24,
% 107.39/107.78 skol27, skol20 ) }.
% 107.39/107.78 parent0: (131587) {G18,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131588) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol20, skol27 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.39/107.78 }.
% 107.39/107.78 parent1[0]: (91847) {G21,W4,D2,L1,V0,M1} R(91693,81269) { midp( skol24,
% 107.39/107.78 skol27, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol27
% 107.39/107.78 Z := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (92050) {G22,W4,D2,L1,V0,M1} R(91847,10) { midp( skol24,
% 107.39/107.78 skol20, skol27 ) }.
% 107.39/107.78 parent0: (131588) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol20, skol27 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131589) {G2,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol27,
% 107.39/107.78 skol24 ) }.
% 107.39/107.78 parent0[0]: (2475) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong(
% 107.39/107.78 X, Y, Z, X ) }.
% 107.39/107.78 parent1[0]: (92050) {G22,W4,D2,L1,V0,M1} R(91847,10) { midp( skol24, skol20
% 107.39/107.78 , skol27 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := skol27
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (92062) {G23,W5,D2,L1,V0,M1} R(92050,2475) { cong( skol24,
% 107.39/107.78 skol20, skol27, skol24 ) }.
% 107.39/107.78 parent0: (131589) {G2,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol27,
% 107.39/107.78 skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131590) {G2,W5,D2,L1,V0,M1} { cong( skol20, skol27, skol24,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 parent0[0]: (2475) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong(
% 107.39/107.78 X, Y, Z, X ) }.
% 107.39/107.78 parent1[0]: (91699) {G23,W4,D2,L1,V0,M1} R(91623,45740) { midp( skol20,
% 107.39/107.78 skol27, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol27
% 107.39/107.78 Z := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (92249) {G24,W5,D2,L1,V0,M1} R(91699,2475) { cong( skol20,
% 107.39/107.78 skol27, skol24, skol20 ) }.
% 107.39/107.78 parent0: (131590) {G2,W5,D2,L1,V0,M1} { cong( skol20, skol27, skol24,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131591) {G19,W4,D2,L1,V0,M1} { midp( skol26, skol22, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (40162) {G19,W8,D2,L2,V1,M2} S(18897);r(20494) { ! midp( skol26
% 107.39/107.78 , X, skol25 ), midp( skol26, X, skol20 ) }.
% 107.39/107.78 parent1[0]: (91625) {G18,W4,D2,L1,V0,M1} R(81269,340) { midp( skol26,
% 107.39/107.78 skol22, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol22
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (92892) {G20,W4,D2,L1,V0,M1} R(91625,40162) { midp( skol26,
% 107.39/107.78 skol22, skol20 ) }.
% 107.39/107.78 parent0: (131591) {G19,W4,D2,L1,V0,M1} { midp( skol26, skol22, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131592) {G18,W4,D2,L1,V0,M1} { midp( skol22, skol26, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (81269) {G17,W8,D2,L2,V3,M2} R(81266,2024) { ! midp( X, Y, Z )
% 107.39/107.78 , midp( Y, X, Z ) }.
% 107.39/107.78 parent1[0]: (92892) {G20,W4,D2,L1,V0,M1} R(91625,40162) { midp( skol26,
% 107.39/107.78 skol22, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol26
% 107.39/107.78 Y := skol22
% 107.39/107.78 Z := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (93188) {G21,W4,D2,L1,V0,M1} R(92892,81269) { midp( skol22,
% 107.39/107.78 skol26, skol20 ) }.
% 107.39/107.78 parent0: (131592) {G18,W4,D2,L1,V0,M1} { midp( skol22, skol26, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131593) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol26, skol22,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 107.39/107.78 Z ) }.
% 107.39/107.78 parent1[0]: (93188) {G21,W4,D2,L1,V0,M1} R(92892,81269) { midp( skol22,
% 107.39/107.78 skol26, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol22
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (93362) {G22,W5,D2,L1,V0,M1} R(93188,68) { cong( skol22,
% 107.39/107.78 skol26, skol22, skol20 ) }.
% 107.39/107.78 parent0: (131593) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol26, skol22,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131594) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol24,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 parent0[0]: (527) {G2,W10,D2,L2,V4,M2} F(514) { ! cong( X, Y, Z, T ), cong
% 107.39/107.78 ( Z, T, Z, T ) }.
% 107.39/107.78 parent1[0]: (92249) {G24,W5,D2,L1,V0,M1} R(91699,2475) { cong( skol20,
% 107.39/107.78 skol27, skol24, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol27
% 107.39/107.78 Z := skol24
% 107.39/107.78 T := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (114118) {G25,W5,D2,L1,V0,M1} R(92249,527) { cong( skol24,
% 107.39/107.78 skol20, skol24, skol20 ) }.
% 107.39/107.78 parent0: (131594) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol24,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131595) {G9,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol24,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 parent0[0]: (2562) {G8,W10,D2,L2,V2,M2} R(2559,24) { ! cong( X, Y, skol27,
% 107.39/107.78 skol24 ), cong( X, Y, skol24, skol25 ) }.
% 107.39/107.78 parent1[0]: (92062) {G23,W5,D2,L1,V0,M1} R(92050,2475) { cong( skol24,
% 107.39/107.78 skol20, skol27, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (117468) {G24,W5,D2,L1,V0,M1} R(92062,2562) { cong( skol24,
% 107.39/107.78 skol20, skol24, skol25 ) }.
% 107.39/107.78 parent0: (131595) {G9,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol24,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131597) {G2,W15,D2,L3,V2,M3} { ! cong( skol24, X, skol24,
% 107.39/107.78 skol20 ), ! cong( skol24, skol20, skol24, Y ), cyclic( skol20, skol25, X
% 107.39/107.78 , Y ) }.
% 107.39/107.78 parent0[1]: (499) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 107.39/107.78 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 107.39/107.78 parent1[0]: (117468) {G24,W5,D2,L1,V0,M1} R(92062,2562) { cong( skol24,
% 107.39/107.78 skol20, skol24, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol25
% 107.39/107.78 U := Y
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (117590) {G25,W15,D2,L3,V2,M3} R(117468,499) { ! cong( skol24
% 107.39/107.78 , X, skol24, skol20 ), ! cong( skol24, skol20, skol24, Y ), cyclic(
% 107.39/107.78 skol20, skol25, X, Y ) }.
% 107.39/107.78 parent0: (131597) {G2,W15,D2,L3,V2,M3} { ! cong( skol24, X, skol24, skol20
% 107.39/107.78 ), ! cong( skol24, skol20, skol24, Y ), cyclic( skol20, skol25, X, Y )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 2 ==> 2
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131604) {G2,W15,D2,L3,V2,M3} { ! cong( skol24, X, skol24,
% 107.39/107.78 skol20 ), ! cong( skol24, skol20, skol24, Y ), cyclic( skol20, X, Y,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 parent0[2]: (498) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 107.39/107.78 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 107.39/107.78 parent1[0]: (117468) {G24,W5,D2,L1,V0,M1} R(92062,2562) { cong( skol24,
% 107.39/107.78 skol20, skol24, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := Y
% 107.39/107.78 U := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (117594) {G25,W15,D2,L3,V2,M3} R(117468,498) { ! cong( skol24
% 107.39/107.78 , X, skol24, skol20 ), ! cong( skol24, skol20, skol24, Y ), cyclic(
% 107.39/107.78 skol20, X, Y, skol25 ) }.
% 107.39/107.78 parent0: (131604) {G2,W15,D2,L3,V2,M3} { ! cong( skol24, X, skol24, skol20
% 107.39/107.78 ), ! cong( skol24, skol20, skol24, Y ), cyclic( skol20, X, Y, skol25 )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 2 ==> 2
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 factor: (131608) {G25,W10,D2,L2,V0,M2} { ! cong( skol24, skol20, skol24,
% 107.39/107.78 skol20 ), cyclic( skol20, skol20, skol20, skol25 ) }.
% 107.39/107.78 parent0[0, 1]: (117594) {G25,W15,D2,L3,V2,M3} R(117468,498) { ! cong(
% 107.39/107.78 skol24, X, skol24, skol20 ), ! cong( skol24, skol20, skol24, Y ), cyclic
% 107.39/107.78 ( skol20, X, Y, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol20
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131609) {G26,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol20
% 107.39/107.78 , skol25 ) }.
% 107.39/107.78 parent0[0]: (131608) {G25,W10,D2,L2,V0,M2} { ! cong( skol24, skol20,
% 107.39/107.78 skol24, skol20 ), cyclic( skol20, skol20, skol20, skol25 ) }.
% 107.39/107.78 parent1[0]: (114118) {G25,W5,D2,L1,V0,M1} R(92249,527) { cong( skol24,
% 107.39/107.78 skol20, skol24, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (117638) {G26,W5,D2,L1,V0,M1} F(117594);r(114118) { cyclic(
% 107.39/107.78 skol20, skol20, skol20, skol25 ) }.
% 107.39/107.78 parent0: (131609) {G26,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol20,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 factor: (131610) {G25,W10,D2,L2,V0,M2} { ! cong( skol24, skol20, skol24,
% 107.39/107.78 skol20 ), cyclic( skol20, skol25, skol20, skol20 ) }.
% 107.39/107.78 parent0[0, 1]: (117590) {G25,W15,D2,L3,V2,M3} R(117468,499) { ! cong(
% 107.39/107.78 skol24, X, skol24, skol20 ), ! cong( skol24, skol20, skol24, Y ), cyclic
% 107.39/107.78 ( skol20, skol25, X, Y ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol20
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131611) {G26,W5,D2,L1,V0,M1} { cyclic( skol20, skol25, skol20
% 107.39/107.78 , skol20 ) }.
% 107.39/107.78 parent0[0]: (131610) {G25,W10,D2,L2,V0,M2} { ! cong( skol24, skol20,
% 107.39/107.78 skol24, skol20 ), cyclic( skol20, skol25, skol20, skol20 ) }.
% 107.39/107.78 parent1[0]: (114118) {G25,W5,D2,L1,V0,M1} R(92249,527) { cong( skol24,
% 107.39/107.78 skol20, skol24, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (117640) {G26,W5,D2,L1,V0,M1} F(117590);r(114118) { cyclic(
% 107.39/107.78 skol20, skol25, skol20, skol20 ) }.
% 107.39/107.78 parent0: (131611) {G26,W5,D2,L1,V0,M1} { cyclic( skol20, skol25, skol20,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131612) {G3,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20
% 107.39/107.78 , skol20 ) }.
% 107.39/107.78 parent0[0]: (410) {G2,W10,D2,L2,V4,M2} F(404) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( Y, T, Z, T ) }.
% 107.39/107.78 parent1[0]: (117640) {G26,W5,D2,L1,V0,M1} F(117590);r(114118) { cyclic(
% 107.39/107.78 skol20, skol25, skol20, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol25
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (117802) {G27,W5,D2,L1,V0,M1} R(117640,410) { cyclic( skol25,
% 107.39/107.78 skol20, skol20, skol20 ) }.
% 107.39/107.78 parent0: (131612) {G3,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131613) {G3,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol25
% 107.39/107.78 , skol25 ) }.
% 107.39/107.78 parent0[0]: (411) {G2,W10,D2,L2,V4,M2} F(401) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( Z, Y, T, T ) }.
% 107.39/107.78 parent1[0]: (117638) {G26,W5,D2,L1,V0,M1} F(117594);r(114118) { cyclic(
% 107.39/107.78 skol20, skol20, skol20, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (117834) {G27,W5,D2,L1,V0,M1} R(117638,411) { cyclic( skol20,
% 107.39/107.78 skol20, skol25, skol25 ) }.
% 107.39/107.78 parent0: (131613) {G3,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol25,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131614) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20
% 107.39/107.78 , skol25 ) }.
% 107.39/107.78 parent0[1]: (380) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 107.39/107.78 cyclic( Y, Z, X, T ) }.
% 107.39/107.78 parent1[0]: (117834) {G27,W5,D2,L1,V0,M1} R(117638,411) { cyclic( skol20,
% 107.39/107.78 skol20, skol25, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (117998) {G28,W5,D2,L1,V0,M1} R(117834,380) { cyclic( skol25,
% 107.39/107.78 skol20, skol20, skol25 ) }.
% 107.39/107.78 parent0: (131614) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131615) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol20,
% 107.39/107.78 skol20, skol20 ), cong( skol25, skol20, skol25, skol20 ) }.
% 107.39/107.78 parent0[0]: (989) {G2,W15,D2,L3,V3,M3} F(957) { ! cyclic( X, Y, Z, X ), !
% 107.39/107.78 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 107.39/107.78 parent1[0]: (117998) {G28,W5,D2,L1,V0,M1} R(117834,380) { cyclic( skol25,
% 107.39/107.78 skol20, skol20, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131616) {G4,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol25,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 parent0[0]: (131615) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol20,
% 107.39/107.78 skol20, skol20 ), cong( skol25, skol20, skol25, skol20 ) }.
% 107.39/107.78 parent1[0]: (117802) {G27,W5,D2,L1,V0,M1} R(117640,410) { cyclic( skol25,
% 107.39/107.78 skol20, skol20, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (118008) {G29,W5,D2,L1,V0,M1} R(117998,989);r(117802) { cong(
% 107.39/107.78 skol25, skol20, skol25, skol20 ) }.
% 107.39/107.78 parent0: (131616) {G4,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol25,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131617) {G5,W5,D2,L1,V0,M1} { cyclic( skol26, skol20, skol20
% 107.39/107.78 , skol25 ) }.
% 107.39/107.78 parent0[0]: (2677) {G4,W10,D2,L2,V1,M2} F(2674) { ! cong( skol22, skol26,
% 107.39/107.78 skol22, X ), cyclic( skol26, X, X, skol25 ) }.
% 107.39/107.78 parent1[0]: (93362) {G22,W5,D2,L1,V0,M1} R(93188,68) { cong( skol22, skol26
% 107.39/107.78 , skol22, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (124960) {G23,W5,D2,L1,V0,M1} R(2677,93362) { cyclic( skol26,
% 107.39/107.78 skol20, skol20, skol25 ) }.
% 107.39/107.78 parent0: (131617) {G5,W5,D2,L1,V0,M1} { cyclic( skol26, skol20, skol20,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131618) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol26, skol25
% 107.39/107.78 , skol20 ) }.
% 107.39/107.78 parent0[1]: (382) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 107.39/107.78 cyclic( Y, X, T, Z ) }.
% 107.39/107.78 parent1[0]: (124960) {G23,W5,D2,L1,V0,M1} R(2677,93362) { cyclic( skol26,
% 107.39/107.78 skol20, skol20, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := skol25
% 107.39/107.78 T := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (125052) {G24,W5,D2,L1,V0,M1} R(124960,382) { cyclic( skol20,
% 107.39/107.78 skol26, skol25, skol20 ) }.
% 107.39/107.78 parent0: (131618) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol26, skol25,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131619) {G3,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol20
% 107.39/107.78 , skol20 ) }.
% 107.39/107.78 parent0[0]: (411) {G2,W10,D2,L2,V4,M2} F(401) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( Z, Y, T, T ) }.
% 107.39/107.78 parent1[0]: (125052) {G24,W5,D2,L1,V0,M1} R(124960,382) { cyclic( skol20,
% 107.39/107.78 skol26, skol25, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := skol25
% 107.39/107.78 T := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (125069) {G25,W5,D2,L1,V0,M1} R(125052,411) { cyclic( skol25,
% 107.39/107.78 skol26, skol20, skol20 ) }.
% 107.39/107.78 parent0: (131619) {G3,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol20,
% 107.39/107.78 skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131620) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20
% 107.39/107.78 , skol26 ) }.
% 107.39/107.78 parent0[0]: (371) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( X, Z, T, Y ) }.
% 107.39/107.78 parent1[0]: (125069) {G25,W5,D2,L1,V0,M1} R(125052,411) { cyclic( skol25,
% 107.39/107.78 skol26, skol20, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (125099) {G26,W5,D2,L1,V0,M1} R(125069,371) { cyclic( skol25,
% 107.39/107.78 skol20, skol20, skol26 ) }.
% 107.39/107.78 parent0: (131620) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131621) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol25
% 107.39/107.78 , skol26 ) }.
% 107.39/107.78 parent0[0]: (381) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( Y, Z, X, T ) }.
% 107.39/107.78 parent1[0]: (125099) {G26,W5,D2,L1,V0,M1} R(125069,371) { cyclic( skol25,
% 107.39/107.78 skol20, skol20, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol26
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (125141) {G27,W5,D2,L1,V0,M1} R(125099,381) { cyclic( skol20,
% 107.39/107.78 skol20, skol25, skol26 ) }.
% 107.39/107.78 parent0: (131621) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol25,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131622) {G3,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol26
% 107.39/107.78 , skol26 ) }.
% 107.39/107.78 parent0[0]: (411) {G2,W10,D2,L2,V4,M2} F(401) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( Z, Y, T, T ) }.
% 107.39/107.78 parent1[0]: (125141) {G27,W5,D2,L1,V0,M1} R(125099,381) { cyclic( skol20,
% 107.39/107.78 skol20, skol25, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := skol25
% 107.39/107.78 T := skol26
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (126323) {G28,W5,D2,L1,V0,M1} R(125141,411) { cyclic( skol25,
% 107.39/107.78 skol20, skol26, skol26 ) }.
% 107.39/107.78 parent0: (131622) {G3,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol26,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131623) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol20
% 107.39/107.78 , skol26 ) }.
% 107.39/107.78 parent0[1]: (380) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 107.39/107.78 cyclic( Y, Z, X, T ) }.
% 107.39/107.78 parent1[0]: (126323) {G28,W5,D2,L1,V0,M1} R(125141,411) { cyclic( skol25,
% 107.39/107.78 skol20, skol26, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol26
% 107.39/107.78 Y := skol25
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol26
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (127223) {G29,W5,D2,L1,V0,M1} R(126323,380) { cyclic( skol26,
% 107.39/107.78 skol25, skol20, skol26 ) }.
% 107.39/107.78 parent0: (131623) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol20,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131624) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol20, skol26
% 107.39/107.78 , skol25 ) }.
% 107.39/107.78 parent0[0]: (371) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( X, Z, T, Y ) }.
% 107.39/107.78 parent1[0]: (127223) {G29,W5,D2,L1,V0,M1} R(126323,380) { cyclic( skol26,
% 107.39/107.78 skol25, skol20, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol26
% 107.39/107.78 Y := skol25
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol26
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (127250) {G30,W5,D2,L1,V0,M1} R(127223,371) { cyclic( skol26,
% 107.39/107.78 skol20, skol26, skol25 ) }.
% 107.39/107.78 parent0: (131624) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol20, skol26,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131625) {G3,W5,D2,L1,V0,M1} { cyclic( skol26, skol20, skol25
% 107.39/107.78 , skol25 ) }.
% 107.39/107.78 parent0[0]: (411) {G2,W10,D2,L2,V4,M2} F(401) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( Z, Y, T, T ) }.
% 107.39/107.78 parent1[0]: (127250) {G30,W5,D2,L1,V0,M1} R(127223,371) { cyclic( skol26,
% 107.39/107.78 skol20, skol26, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol26
% 107.39/107.78 Y := skol20
% 107.39/107.78 Z := skol26
% 107.39/107.78 T := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (127271) {G31,W5,D2,L1,V0,M1} R(127250,411) { cyclic( skol26,
% 107.39/107.78 skol20, skol25, skol25 ) }.
% 107.39/107.78 parent0: (131625) {G3,W5,D2,L1,V0,M1} { cyclic( skol26, skol20, skol25,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131626) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol20
% 107.39/107.78 , skol25 ) }.
% 107.39/107.78 parent0[1]: (380) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 107.39/107.78 cyclic( Y, Z, X, T ) }.
% 107.39/107.78 parent1[0]: (127271) {G31,W5,D2,L1,V0,M1} R(127250,411) { cyclic( skol26,
% 107.39/107.78 skol20, skol25, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (127322) {G32,W5,D2,L1,V0,M1} R(127271,380) { cyclic( skol25,
% 107.39/107.78 skol26, skol20, skol25 ) }.
% 107.39/107.78 parent0: (131626) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol20,
% 107.39/107.78 skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131627) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol25
% 107.39/107.78 , skol26 ) }.
% 107.39/107.78 parent0[0]: (371) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( X, Z, T, Y ) }.
% 107.39/107.78 parent1[0]: (127322) {G32,W5,D2,L1,V0,M1} R(127271,380) { cyclic( skol25,
% 107.39/107.78 skol26, skol20, skol25 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol25
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (127340) {G33,W5,D2,L1,V0,M1} R(127322,371) { cyclic( skol25,
% 107.39/107.78 skol20, skol25, skol26 ) }.
% 107.39/107.78 parent0: (131627) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol25,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131628) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol20
% 107.39/107.78 , skol26 ) }.
% 107.39/107.78 parent0[1]: (380) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 107.39/107.78 cyclic( Y, Z, X, T ) }.
% 107.39/107.78 parent1[0]: (127340) {G33,W5,D2,L1,V0,M1} R(127322,371) { cyclic( skol25,
% 107.39/107.78 skol20, skol25, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol25
% 107.39/107.78 Z := skol20
% 107.39/107.78 T := skol26
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (127381) {G34,W5,D2,L1,V0,M1} R(127340,380) { cyclic( skol25,
% 107.39/107.78 skol25, skol20, skol26 ) }.
% 107.39/107.78 parent0: (131628) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol20,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131629) {G2,W20,D2,L4,V2,M4} { ! cong( skol25, skol26, skol25
% 107.39/107.78 , skol26 ), perp( skol20, skol25, skol25, skol26 ), ! cong( skol25,
% 107.39/107.78 skol20, X, Y ), ! cong( X, Y, skol25, skol20 ) }.
% 107.39/107.78 parent0[1]: (1808) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), !
% 107.39/107.78 cyclic( X, Z, T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong( U
% 107.39/107.78 , W, Z, T ) }.
% 107.39/107.78 parent1[0]: (127381) {G34,W5,D2,L1,V0,M1} R(127340,380) { cyclic( skol25,
% 107.39/107.78 skol25, skol20, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := skol25
% 107.39/107.78 T := skol20
% 107.39/107.78 U := X
% 107.39/107.78 W := Y
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131632) {G3,W15,D2,L3,V2,M3} { perp( skol20, skol25, skol25,
% 107.39/107.78 skol26 ), ! cong( skol25, skol20, X, Y ), ! cong( X, Y, skol25, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (131629) {G2,W20,D2,L4,V2,M4} { ! cong( skol25, skol26, skol25
% 107.39/107.78 , skol26 ), perp( skol20, skol25, skol25, skol26 ), ! cong( skol25,
% 107.39/107.78 skol20, X, Y ), ! cong( X, Y, skol25, skol20 ) }.
% 107.39/107.78 parent1[0]: (27498) {G10,W5,D2,L1,V0,M1} R(989,8230);r(7314) { cong( skol25
% 107.39/107.78 , skol26, skol25, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (128737) {G35,W15,D2,L3,V2,M3} R(127381,1808);r(27498) { perp
% 107.39/107.78 ( skol20, skol25, skol25, skol26 ), ! cong( skol25, skol20, X, Y ), !
% 107.39/107.78 cong( X, Y, skol25, skol20 ) }.
% 107.39/107.78 parent0: (131632) {G3,W15,D2,L3,V2,M3} { perp( skol20, skol25, skol25,
% 107.39/107.78 skol26 ), ! cong( skol25, skol20, X, Y ), ! cong( X, Y, skol25, skol20 )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 2 ==> 2
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 factor: (131634) {G35,W10,D2,L2,V0,M2} { perp( skol20, skol25, skol25,
% 107.39/107.78 skol26 ), ! cong( skol25, skol20, skol25, skol20 ) }.
% 107.39/107.78 parent0[1, 2]: (128737) {G35,W15,D2,L3,V2,M3} R(127381,1808);r(27498) {
% 107.39/107.78 perp( skol20, skol25, skol25, skol26 ), ! cong( skol25, skol20, X, Y ), !
% 107.39/107.78 cong( X, Y, skol25, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol20
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131635) {G30,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol25,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 parent0[1]: (131634) {G35,W10,D2,L2,V0,M2} { perp( skol20, skol25, skol25
% 107.39/107.78 , skol26 ), ! cong( skol25, skol20, skol25, skol20 ) }.
% 107.39/107.78 parent1[0]: (118008) {G29,W5,D2,L1,V0,M1} R(117998,989);r(117802) { cong(
% 107.39/107.78 skol25, skol20, skol25, skol20 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (128765) {G36,W5,D2,L1,V0,M1} F(128737);r(118008) { perp(
% 107.39/107.78 skol20, skol25, skol25, skol26 ) }.
% 107.39/107.78 parent0: (131635) {G30,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol25,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131636) {G3,W5,D2,L1,V0,M1} { para( skol26, skol27, skol25,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 parent0[0]: (620) {G2,W10,D2,L2,V2,M2} R(294,8) { ! perp( skol20, skol25, X
% 107.39/107.78 , Y ), para( skol26, skol27, X, Y ) }.
% 107.39/107.78 parent1[0]: (128765) {G36,W5,D2,L1,V0,M1} F(128737);r(118008) { perp(
% 107.39/107.78 skol20, skol25, skol25, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol25
% 107.39/107.78 Y := skol26
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (128791) {G37,W5,D2,L1,V0,M1} R(128765,620) { para( skol26,
% 107.39/107.78 skol27, skol25, skol26 ) }.
% 107.39/107.78 parent0: (131636) {G3,W5,D2,L1,V0,M1} { para( skol26, skol27, skol25,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131637) {G2,W5,D2,L1,V0,M1} { para( skol25, skol26, skol27,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 parent0[0]: (223) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 107.39/107.78 ( Z, T, Y, X ) }.
% 107.39/107.78 parent1[0]: (128791) {G37,W5,D2,L1,V0,M1} R(128765,620) { para( skol26,
% 107.39/107.78 skol27, skol25, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol26
% 107.39/107.78 Y := skol27
% 107.39/107.78 Z := skol25
% 107.39/107.78 T := skol26
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (128901) {G38,W5,D2,L1,V0,M1} R(128791,223) { para( skol25,
% 107.39/107.78 skol26, skol27, skol26 ) }.
% 107.39/107.78 parent0: (131637) {G2,W5,D2,L1,V0,M1} { para( skol25, skol26, skol27,
% 107.39/107.78 skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131638) {G2,W9,D2,L2,V0,M2} { ! para( skol25, skol26, skol27
% 107.39/107.78 , skol26 ), midp( skol24, skol26, skol26 ) }.
% 107.39/107.78 parent0[0]: (2069) {G1,W14,D2,L3,V2,M3} R(64,120) { ! para( skol25, X,
% 107.39/107.78 skol27, Y ), ! para( skol25, Y, skol27, X ), midp( skol24, X, Y ) }.
% 107.39/107.78 parent1[0]: (128901) {G38,W5,D2,L1,V0,M1} R(128791,223) { para( skol25,
% 107.39/107.78 skol26, skol27, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol26
% 107.39/107.78 Y := skol26
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131639) {G3,W4,D2,L1,V0,M1} { midp( skol24, skol26, skol26 )
% 107.39/107.78 }.
% 107.39/107.78 parent0[0]: (131638) {G2,W9,D2,L2,V0,M2} { ! para( skol25, skol26, skol27
% 107.39/107.78 , skol26 ), midp( skol24, skol26, skol26 ) }.
% 107.39/107.78 parent1[0]: (128901) {G38,W5,D2,L1,V0,M1} R(128791,223) { para( skol25,
% 107.39/107.78 skol26, skol27, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (128922) {G39,W4,D2,L1,V0,M1} R(128901,2069);r(128901) { midp
% 107.39/107.78 ( skol24, skol26, skol26 ) }.
% 107.39/107.78 parent0: (131639) {G3,W4,D2,L1,V0,M1} { midp( skol24, skol26, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131640) {G13,W4,D2,L1,V1,M1} { midp( skol24, X, X ) }.
% 107.39/107.78 parent0[0]: (80606) {G12,W8,D2,L2,V3,M2} R(79050,138);r(79041) { ! midp( X
% 107.39/107.78 , Y, Y ), midp( X, Z, Z ) }.
% 107.39/107.78 parent1[0]: (128922) {G39,W4,D2,L1,V0,M1} R(128901,2069);r(128901) { midp(
% 107.39/107.78 skol24, skol26, skol26 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := skol26
% 107.39/107.78 Z := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (129023) {G40,W4,D2,L1,V1,M1} R(128922,80606) { midp( skol24,
% 107.39/107.78 X, X ) }.
% 107.39/107.78 parent0: (131640) {G13,W4,D2,L1,V1,M1} { midp( skol24, X, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131641) {G18,W4,D2,L1,V1,M1} { midp( X, skol24, X ) }.
% 107.39/107.78 parent0[0]: (81269) {G17,W8,D2,L2,V3,M2} R(81266,2024) { ! midp( X, Y, Z )
% 107.39/107.78 , midp( Y, X, Z ) }.
% 107.39/107.78 parent1[0]: (129023) {G40,W4,D2,L1,V1,M1} R(128922,80606) { midp( skol24, X
% 107.39/107.78 , X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := X
% 107.39/107.78 Z := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (129117) {G41,W4,D2,L1,V1,M1} R(129023,81269) { midp( X,
% 107.39/107.78 skol24, X ) }.
% 107.39/107.78 parent0: (131641) {G18,W4,D2,L1,V1,M1} { midp( X, skol24, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131642) {G2,W5,D2,L1,V1,M1} { cong( X, skol24, X, X ) }.
% 107.39/107.78 parent0[0]: (2475) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong(
% 107.39/107.78 X, Y, Z, X ) }.
% 107.39/107.78 parent1[0]: (129117) {G41,W4,D2,L1,V1,M1} R(129023,81269) { midp( X, skol24
% 107.39/107.78 , X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol24
% 107.39/107.78 Z := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (129251) {G42,W5,D2,L1,V1,M1} R(129117,2475) { cong( X, skol24
% 107.39/107.78 , X, X ) }.
% 107.39/107.78 parent0: (131642) {G2,W5,D2,L1,V1,M1} { cong( X, skol24, X, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131643) {G1,W4,D2,L1,V1,M1} { midp( X, X, skol24 ) }.
% 107.39/107.78 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 107.39/107.78 }.
% 107.39/107.78 parent1[0]: (129117) {G41,W4,D2,L1,V1,M1} R(129023,81269) { midp( X, skol24
% 107.39/107.78 , X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := skol24
% 107.39/107.78 Z := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (129351) {G42,W4,D2,L1,V1,M1} R(129117,10) { midp( X, X,
% 107.39/107.78 skol24 ) }.
% 107.39/107.78 parent0: (131643) {G1,W4,D2,L1,V1,M1} { midp( X, X, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131644) {G2,W5,D2,L1,V1,M1} { cong( X, X, skol24, X ) }.
% 107.39/107.78 parent0[0]: (2475) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong(
% 107.39/107.78 X, Y, Z, X ) }.
% 107.39/107.78 parent1[0]: (129351) {G42,W4,D2,L1,V1,M1} R(129117,10) { midp( X, X, skol24
% 107.39/107.78 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (129387) {G43,W5,D2,L1,V1,M1} R(129351,2475) { cong( X, X,
% 107.39/107.78 skol24, X ) }.
% 107.39/107.78 parent0: (131644) {G2,W5,D2,L1,V1,M1} { cong( X, X, skol24, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131645) {G3,W5,D2,L1,V1,M1} { perp( X, X, X, skol24 ) }.
% 107.39/107.78 parent0[0]: (1780) {G2,W10,D2,L2,V3,M2} F(1779) { ! cong( X, Y, Z, Y ),
% 107.39/107.78 perp( Y, Y, X, Z ) }.
% 107.39/107.78 parent1[0]: (129387) {G43,W5,D2,L1,V1,M1} R(129351,2475) { cong( X, X,
% 107.39/107.78 skol24, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (129824) {G44,W5,D2,L1,V1,M1} R(129387,1780) { perp( X, X, X,
% 107.39/107.78 skol24 ) }.
% 107.39/107.78 parent0: (131645) {G3,W5,D2,L1,V1,M1} { perp( X, X, X, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131646) {G2,W5,D2,L1,V1,M1} { perp( skol24, X, X, X ) }.
% 107.39/107.78 parent0[1]: (292) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 107.39/107.78 ( Z, T, Y, X ) }.
% 107.39/107.78 parent1[0]: (129824) {G44,W5,D2,L1,V1,M1} R(129387,1780) { perp( X, X, X,
% 107.39/107.78 skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := X
% 107.39/107.78 Z := X
% 107.39/107.78 T := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (129936) {G45,W5,D2,L1,V1,M1} R(129824,292) { perp( skol24, X
% 107.39/107.78 , X, X ) }.
% 107.39/107.78 parent0: (131646) {G2,W5,D2,L1,V1,M1} { perp( skol24, X, X, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131647) {G2,W10,D2,L2,V1,M2} { perp( X, skol24, skol24, X ),
% 107.39/107.78 ! cong( X, skol24, X, X ) }.
% 107.39/107.78 parent0[0]: (2697) {G1,W15,D2,L3,V3,M3} R(73,46) { ! perp( X, Y, Z, Y ),
% 107.39/107.78 perp( Z, X, X, Y ), ! cong( Z, X, Z, Y ) }.
% 107.39/107.78 parent1[0]: (129936) {G45,W5,D2,L1,V1,M1} R(129824,292) { perp( skol24, X,
% 107.39/107.78 X, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := X
% 107.39/107.78 Z := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131648) {G3,W5,D2,L1,V1,M1} { perp( X, skol24, skol24, X )
% 107.39/107.78 }.
% 107.39/107.78 parent0[1]: (131647) {G2,W10,D2,L2,V1,M2} { perp( X, skol24, skol24, X ),
% 107.39/107.78 ! cong( X, skol24, X, X ) }.
% 107.39/107.78 parent1[0]: (129251) {G42,W5,D2,L1,V1,M1} R(129117,2475) { cong( X, skol24
% 107.39/107.78 , X, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (129947) {G46,W5,D2,L1,V1,M1} R(129936,2697);r(129251) { perp
% 107.39/107.78 ( X, skol24, skol24, X ) }.
% 107.39/107.78 parent0: (131648) {G3,W5,D2,L1,V1,M1} { perp( X, skol24, skol24, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131649) {G2,W9,D2,L2,V1,M2} { ! midp( X, X, skol24 ), cong(
% 107.39/107.78 skol24, X, skol24, skol24 ) }.
% 107.39/107.78 parent0[2]: (1714) {G1,W14,D2,L3,V4,M3} R(55,7) { ! midp( X, Y, Z ), cong(
% 107.39/107.78 T, Y, T, Z ), ! perp( Y, Z, T, X ) }.
% 107.39/107.78 parent1[0]: (129947) {G46,W5,D2,L1,V1,M1} R(129936,2697);r(129251) { perp(
% 107.39/107.78 X, skol24, skol24, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol24
% 107.39/107.78 T := skol24
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131650) {G3,W5,D2,L1,V1,M1} { cong( skol24, X, skol24, skol24
% 107.39/107.78 ) }.
% 107.39/107.78 parent0[0]: (131649) {G2,W9,D2,L2,V1,M2} { ! midp( X, X, skol24 ), cong(
% 107.39/107.78 skol24, X, skol24, skol24 ) }.
% 107.39/107.78 parent1[0]: (129351) {G42,W4,D2,L1,V1,M1} R(129117,10) { midp( X, X, skol24
% 107.39/107.78 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (130052) {G47,W5,D2,L1,V1,M1} R(129947,1714);r(129351) { cong
% 107.39/107.78 ( skol24, X, skol24, skol24 ) }.
% 107.39/107.78 parent0: (131650) {G3,W5,D2,L1,V1,M1} { cong( skol24, X, skol24, skol24 )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131651) {G2,W15,D2,L3,V3,M3} { ! cong( skol24, skol24, skol24
% 107.39/107.78 , Y ), ! cong( skol24, skol24, skol24, Z ), cyclic( skol24, Y, Z, X ) }.
% 107.39/107.78 parent0[0]: (500) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 107.39/107.78 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, U, Y ) }.
% 107.39/107.78 parent1[0]: (130052) {G47,W5,D2,L1,V1,M1} R(129947,1714);r(129351) { cong(
% 107.39/107.78 skol24, X, skol24, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol24
% 107.39/107.78 T := Y
% 107.39/107.78 U := Z
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (130222) {G48,W15,D2,L3,V3,M3} R(130052,500) { ! cong( skol24
% 107.39/107.78 , skol24, skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic(
% 107.39/107.78 skol24, X, Y, Z ) }.
% 107.39/107.78 parent0: (131651) {G2,W15,D2,L3,V3,M3} { ! cong( skol24, skol24, skol24, Y
% 107.39/107.78 ), ! cong( skol24, skol24, skol24, Z ), cyclic( skol24, Y, Z, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := Z
% 107.39/107.78 Y := X
% 107.39/107.78 Z := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 2 ==> 2
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131657) {G2,W15,D2,L3,V3,M3} { ! cong( skol24, skol24, skol24
% 107.39/107.78 , Y ), ! cong( skol24, skol24, skol24, Z ), cyclic( skol24, Y, X, Z ) }.
% 107.39/107.78 parent0[0]: (499) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 107.39/107.78 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 107.39/107.78 parent1[0]: (130052) {G47,W5,D2,L1,V1,M1} R(129947,1714);r(129351) { cong(
% 107.39/107.78 skol24, X, skol24, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := X
% 107.39/107.78 Z := skol24
% 107.39/107.78 T := Y
% 107.39/107.78 U := Z
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (130225) {G48,W15,D2,L3,V3,M3} R(130052,499) { ! cong( skol24
% 107.39/107.78 , skol24, skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic(
% 107.39/107.78 skol24, X, Z, Y ) }.
% 107.39/107.78 parent0: (131657) {G2,W15,D2,L3,V3,M3} { ! cong( skol24, skol24, skol24, Y
% 107.39/107.78 ), ! cong( skol24, skol24, skol24, Z ), cyclic( skol24, Y, X, Z ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := Z
% 107.39/107.78 Y := X
% 107.39/107.78 Z := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 1 ==> 1
% 107.39/107.78 2 ==> 2
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131663) {G2,W5,D2,L1,V1,M1} { cong( skol24, skol24, skol24, X
% 107.39/107.78 ) }.
% 107.39/107.78 parent0[1]: (496) {G1,W10,D2,L2,V4,M2} R(23,22) { cong( X, Y, Z, T ), !
% 107.39/107.78 cong( Z, T, Y, X ) }.
% 107.39/107.78 parent1[0]: (130052) {G47,W5,D2,L1,V1,M1} R(129947,1714);r(129351) { cong(
% 107.39/107.78 skol24, X, skol24, skol24 ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := skol24
% 107.39/107.78 Z := skol24
% 107.39/107.78 T := X
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (130232) {G48,W5,D2,L1,V1,M1} R(130052,496) { cong( skol24,
% 107.39/107.78 skol24, skol24, X ) }.
% 107.39/107.78 parent0: (131663) {G2,W5,D2,L1,V1,M1} { cong( skol24, skol24, skol24, X )
% 107.39/107.78 }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 factor: (131664) {G48,W10,D2,L2,V2,M2} { ! cong( skol24, skol24, skol24, X
% 107.39/107.78 ), cyclic( skol24, X, Y, X ) }.
% 107.39/107.78 parent0[0, 1]: (130225) {G48,W15,D2,L3,V3,M3} R(130052,499) { ! cong(
% 107.39/107.78 skol24, skol24, skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic
% 107.39/107.78 ( skol24, X, Z, Y ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := X
% 107.39/107.78 Z := Y
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131665) {G49,W5,D2,L1,V2,M1} { cyclic( skol24, X, Y, X ) }.
% 107.39/107.78 parent0[0]: (131664) {G48,W10,D2,L2,V2,M2} { ! cong( skol24, skol24,
% 107.39/107.78 skol24, X ), cyclic( skol24, X, Y, X ) }.
% 107.39/107.78 parent1[0]: (130232) {G48,W5,D2,L1,V1,M1} R(130052,496) { cong( skol24,
% 107.39/107.78 skol24, skol24, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (130272) {G49,W5,D2,L1,V2,M1} F(130225);r(130232) { cyclic(
% 107.39/107.78 skol24, X, Y, X ) }.
% 107.39/107.78 parent0: (131665) {G49,W5,D2,L1,V2,M1} { cyclic( skol24, X, Y, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 factor: (131666) {G48,W10,D2,L2,V2,M2} { ! cong( skol24, skol24, skol24, X
% 107.39/107.78 ), cyclic( skol24, X, X, Y ) }.
% 107.39/107.78 parent0[0, 1]: (130222) {G48,W15,D2,L3,V3,M3} R(130052,500) { ! cong(
% 107.39/107.78 skol24, skol24, skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic
% 107.39/107.78 ( skol24, X, Y, Z ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := X
% 107.39/107.78 Z := Y
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131667) {G49,W5,D2,L1,V2,M1} { cyclic( skol24, X, X, Y ) }.
% 107.39/107.78 parent0[0]: (131666) {G48,W10,D2,L2,V2,M2} { ! cong( skol24, skol24,
% 107.39/107.78 skol24, X ), cyclic( skol24, X, X, Y ) }.
% 107.39/107.78 parent1[0]: (130232) {G48,W5,D2,L1,V1,M1} R(130052,496) { cong( skol24,
% 107.39/107.78 skol24, skol24, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (130273) {G49,W5,D2,L1,V2,M1} F(130222);r(130232) { cyclic(
% 107.39/107.78 skol24, X, X, Y ) }.
% 107.39/107.78 parent0: (131667) {G49,W5,D2,L1,V2,M1} { cyclic( skol24, X, X, Y ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131668) {G2,W10,D2,L2,V3,M2} { cyclic( X, X, Y, Z ), ! cyclic
% 107.39/107.78 ( skol24, X, Z, X ) }.
% 107.39/107.78 parent0[0]: (406) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 107.39/107.78 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 107.39/107.78 parent1[0]: (130273) {G49,W5,D2,L1,V2,M1} F(130222);r(130232) { cyclic(
% 107.39/107.78 skol24, X, X, Y ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol24
% 107.39/107.78 Y := X
% 107.39/107.78 Z := X
% 107.39/107.78 T := Y
% 107.39/107.78 U := Z
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131670) {G3,W5,D2,L1,V3,M1} { cyclic( X, X, Y, Z ) }.
% 107.39/107.78 parent0[1]: (131668) {G2,W10,D2,L2,V3,M2} { cyclic( X, X, Y, Z ), ! cyclic
% 107.39/107.78 ( skol24, X, Z, X ) }.
% 107.39/107.78 parent1[0]: (130272) {G49,W5,D2,L1,V2,M1} F(130225);r(130232) { cyclic(
% 107.39/107.78 skol24, X, Y, X ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 Z := Z
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Z
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (130318) {G50,W5,D2,L1,V3,M1} R(130273,406);r(130272) { cyclic
% 107.39/107.78 ( X, X, Y, Z ) }.
% 107.39/107.78 parent0: (131670) {G3,W5,D2,L1,V3,M1} { cyclic( X, X, Y, Z ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := X
% 107.39/107.78 Y := Y
% 107.39/107.78 Z := Z
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 0 ==> 0
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131671) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol20,
% 107.39/107.78 skol24, skol22 ) }.
% 107.39/107.78 parent0[0]: (582) {G13,W10,D2,L2,V1,M2} R(580,16) { ! cyclic( X, skol20,
% 107.39/107.78 skol24, skol23 ), ! cyclic( X, skol20, skol24, skol22 ) }.
% 107.39/107.78 parent1[0]: (130318) {G50,W5,D2,L1,V3,M1} R(130273,406);r(130272) { cyclic
% 107.39/107.78 ( X, X, Y, Z ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 X := skol20
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol24
% 107.39/107.78 Z := skol23
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 resolution: (131673) {G15,W0,D0,L0,V0,M0} { }.
% 107.39/107.78 parent0[0]: (131671) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol20,
% 107.39/107.78 skol24, skol22 ) }.
% 107.39/107.78 parent1[0]: (130318) {G50,W5,D2,L1,V3,M1} R(130273,406);r(130272) { cyclic
% 107.39/107.78 ( X, X, Y, Z ) }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 substitution1:
% 107.39/107.78 X := skol20
% 107.39/107.78 Y := skol24
% 107.39/107.78 Z := skol22
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 subsumption: (130362) {G51,W0,D0,L0,V0,M0} R(130318,582);r(130318) { }.
% 107.39/107.78 parent0: (131673) {G15,W0,D0,L0,V0,M0} { }.
% 107.39/107.78 substitution0:
% 107.39/107.78 end
% 107.39/107.78 permutation0:
% 107.39/107.78 end
% 107.39/107.78
% 107.39/107.78 Proof check complete!
% 107.39/107.78
% 107.39/107.78 Memory use:
% 107.39/107.78
% 107.39/107.78 space for terms: 1853613
% 107.39/107.78 space for clauses: 6085545
% 107.39/107.78
% 107.39/107.78
% 107.39/107.78 clauses generated: 800870
% 107.39/107.78 clauses kept: 130363
% 107.39/107.78 clauses selected: 4802
% 107.39/107.78 clauses deleted: 32412
% 107.39/107.78 clauses inuse deleted: 1873
% 107.39/107.78
% 107.39/107.78 subsentry: 29683362
% 107.39/107.78 literals s-matched: 20602445
% 107.39/107.78 literals matched: 11322608
% 107.39/107.78 full subsumption: 6848396
% 107.39/107.78
% 107.39/107.78 checksum: -2072775296
% 107.39/107.78
% 107.39/107.78
% 107.39/107.78 Bliksem ended
%------------------------------------------------------------------------------