TSTP Solution File: GEO655+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO655+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:24 EDT 2022
% Result : Theorem 132.15s 132.56s
% Output : Refutation 132.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO655+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 07:38:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.84/1.24 *** allocated 10000 integers for termspace/termends
% 0.84/1.24 *** allocated 10000 integers for clauses
% 0.84/1.24 *** allocated 10000 integers for justifications
% 0.84/1.24 Bliksem 1.12
% 0.84/1.24
% 0.84/1.24
% 0.84/1.24 Automatic Strategy Selection
% 0.84/1.24
% 0.84/1.24 *** allocated 15000 integers for termspace/termends
% 0.84/1.24
% 0.84/1.24 Clauses:
% 0.84/1.24
% 0.84/1.24 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.84/1.24 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.84/1.24 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.84/1.24 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.84/1.24 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.84/1.24 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.84/1.24 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.84/1.24 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.84/1.24 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.84/1.24 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.84/1.24 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.84/1.24 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.84/1.24 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.84/1.24 ( X, Y, Z, T ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.84/1.24 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.84/1.24 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.84/1.24 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.84/1.24 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.84/1.24 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.84/1.24 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.84/1.24 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.84/1.24 ( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.84/1.24 ( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.84/1.24 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.84/1.24 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.84/1.24 T ) }.
% 0.84/1.24 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.84/1.24 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.84/1.24 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.84/1.24 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.84/1.24 ) }.
% 0.84/1.24 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.84/1.24 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.84/1.24 }.
% 0.84/1.24 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.84/1.24 Z, Y ) }.
% 0.84/1.24 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.84/1.24 X, Z ) }.
% 0.84/1.24 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.84/1.24 U ) }.
% 0.84/1.24 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.84/1.24 , Z ), midp( Z, X, Y ) }.
% 0.84/1.24 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.84/1.24 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.84/1.24 Z, Y ) }.
% 0.84/1.24 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.84/1.24 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.84/1.24 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.84/1.24 ( Y, X, X, Z ) }.
% 0.84/1.24 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.84/1.24 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.84/1.24 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.84/1.24 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.84/1.24 , W ) }.
% 0.84/1.24 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.84/1.24 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.84/1.24 , Y ) }.
% 0.84/1.24 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.84/1.24 , X, Z, U, Y, Y, T ) }.
% 0.84/1.24 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.84/1.24 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.84/1.24 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.84/1.24 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.84/1.24 .
% 0.84/1.24 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.84/1.24 , Z, T ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.84/1.24 , Z, T ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.84/1.24 , Z, T ) }.
% 0.84/1.24 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.84/1.24 , W, Z, T ), Z, T ) }.
% 0.84/1.24 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.84/1.24 , Y, Z, T ), X, Y ) }.
% 0.84/1.24 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.84/1.24 , W, Z, T ), Z, T ) }.
% 0.84/1.24 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.84/1.24 skol2( X, Y, Z, T ) ) }.
% 0.84/1.24 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.84/1.24 , W, Z, T ), Z, T ) }.
% 0.84/1.24 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.84/1.24 skol3( X, Y, Z, T ) ) }.
% 0.84/1.24 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.84/1.24 , T ) }.
% 0.84/1.24 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.84/1.24 ) ) }.
% 0.84/1.24 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.84/1.24 skol5( W, Y, Z, T ) ) }.
% 0.84/1.24 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.84/1.24 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.84/1.24 , X, T ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.84/1.24 W, X, Z ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.84/1.24 , Y, T ) }.
% 0.84/1.24 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.84/1.24 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.84/1.24 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.84/1.24 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.84/1.24 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.84/1.24 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.84/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.84/1.24 Z, T ) ) }.
% 0.84/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.84/1.24 , T ) ) }.
% 0.84/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.84/1.24 , X, Y ) }.
% 0.84/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.84/1.24 ) }.
% 0.84/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.84/1.24 , Y ) }.
% 0.84/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.84/1.24 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.84/1.24 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.84/1.24 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.84/1.24 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.17/3.58 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.17/3.58 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.17/3.58 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.17/3.58 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.17/3.58 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.17/3.58 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.17/3.58 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.17/3.58 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.17/3.58 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.17/3.58 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.17/3.58 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.17/3.58 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.17/3.58 X, Y, Z ) }.
% 3.17/3.58 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.17/3.58 }.
% 3.17/3.58 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.17/3.58 ) }.
% 3.17/3.58 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.17/3.58 skol17( X, Y ), X, Y ) }.
% 3.17/3.58 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.17/3.58 }.
% 3.17/3.58 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.17/3.58 ) }.
% 3.17/3.58 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.17/3.58 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.17/3.58 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.17/3.58 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.17/3.58 { midp( skol26, skol25, skol20 ) }.
% 3.17/3.58 { perp( skol25, skol20, skol26, skol27 ) }.
% 3.17/3.58 { midp( skol28, skol25, skol22 ) }.
% 3.17/3.58 { perp( skol25, skol22, skol28, skol27 ) }.
% 3.17/3.58 { midp( skol29, skol20, skol22 ) }.
% 3.17/3.58 { perp( skol20, skol22, skol29, skol27 ) }.
% 3.17/3.58 { coll( skol30, skol20, skol22 ) }.
% 3.17/3.58 { eqangle( skol22, skol25, skol25, skol30, skol30, skol25, skol25, skol20 )
% 3.17/3.58 }.
% 3.17/3.58 { coll( skol25, skol30, skol23 ) }.
% 3.17/3.58 { circle( skol27, skol25, skol23, skol31 ) }.
% 3.17/3.58 { perp( skol27, skol23, skol23, skol24 ) }.
% 3.17/3.58 { ! para( skol23, skol24, skol20, skol22 ) }.
% 3.17/3.58
% 3.17/3.58 percentage equality = 0.008671, percentage horn = 0.929688
% 3.17/3.58 This is a problem with some equality
% 3.17/3.58
% 3.17/3.58
% 3.17/3.58
% 3.17/3.58 Options Used:
% 3.17/3.58
% 3.17/3.58 useres = 1
% 3.17/3.58 useparamod = 1
% 3.17/3.58 useeqrefl = 1
% 3.17/3.58 useeqfact = 1
% 3.17/3.58 usefactor = 1
% 3.17/3.58 usesimpsplitting = 0
% 3.17/3.58 usesimpdemod = 5
% 3.17/3.58 usesimpres = 3
% 3.17/3.58
% 3.17/3.58 resimpinuse = 1000
% 3.17/3.58 resimpclauses = 20000
% 3.17/3.58 substype = eqrewr
% 3.17/3.58 backwardsubs = 1
% 3.17/3.58 selectoldest = 5
% 3.17/3.58
% 3.17/3.58 litorderings [0] = split
% 3.17/3.58 litorderings [1] = extend the termordering, first sorting on arguments
% 3.17/3.58
% 3.17/3.58 termordering = kbo
% 3.17/3.58
% 3.17/3.58 litapriori = 0
% 3.17/3.58 termapriori = 1
% 3.17/3.58 litaposteriori = 0
% 3.17/3.58 termaposteriori = 0
% 3.17/3.58 demodaposteriori = 0
% 3.17/3.58 ordereqreflfact = 0
% 3.17/3.58
% 3.17/3.58 litselect = negord
% 3.17/3.58
% 3.17/3.58 maxweight = 15
% 3.17/3.58 maxdepth = 30000
% 3.17/3.58 maxlength = 115
% 3.17/3.58 maxnrvars = 195
% 3.17/3.58 excuselevel = 1
% 3.17/3.58 increasemaxweight = 1
% 3.17/3.58
% 3.17/3.58 maxselected = 10000000
% 3.17/3.58 maxnrclauses = 10000000
% 3.17/3.58
% 3.17/3.58 showgenerated = 0
% 3.17/3.58 showkept = 0
% 3.17/3.58 showselected = 0
% 3.17/3.58 showdeleted = 0
% 3.17/3.58 showresimp = 1
% 3.17/3.58 showstatus = 2000
% 3.17/3.58
% 3.17/3.58 prologoutput = 0
% 3.17/3.58 nrgoals = 5000000
% 3.17/3.58 totalproof = 1
% 3.17/3.58
% 3.17/3.58 Symbols occurring in the translation:
% 3.17/3.58
% 3.17/3.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.17/3.58 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 3.17/3.58 ! [4, 1] (w:0, o:39, a:1, s:1, b:0),
% 3.17/3.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.17/3.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.17/3.58 coll [38, 3] (w:1, o:72, a:1, s:1, b:0),
% 3.17/3.58 para [40, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.17/3.58 perp [43, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.17/3.58 midp [45, 3] (w:1, o:73, a:1, s:1, b:0),
% 3.17/3.58 cong [47, 4] (w:1, o:82, a:1, s:1, b:0),
% 3.17/3.58 circle [48, 4] (w:1, o:83, a:1, s:1, b:0),
% 3.17/3.58 cyclic [49, 4] (w:1, o:84, a:1, s:1, b:0),
% 3.17/3.58 eqangle [54, 8] (w:1, o:99, a:1, s:1, b:0),
% 3.17/3.58 eqratio [57, 8] (w:1, o:100, a:1, s:1, b:0),
% 3.17/3.58 simtri [59, 6] (w:1, o:96, a:1, s:1, b:0),
% 3.17/3.58 contri [60, 6] (w:1, o:97, a:1, s:1, b:0),
% 3.17/3.58 alpha1 [68, 3] (w:1, o:74, a:1, s:1, b:1),
% 3.17/3.58 alpha2 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.17/3.58 skol1 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.17/3.58 skol2 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.17/3.58 skol3 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 23.04/23.39 skol4 [73, 4] (w:1, o:91, a:1, s:1, b:1),
% 23.04/23.39 skol5 [74, 4] (w:1, o:92, a:1, s:1, b:1),
% 23.04/23.39 skol6 [75, 6] (w:1, o:98, a:1, s:1, b:1),
% 23.04/23.39 skol7 [76, 2] (w:1, o:68, a:1, s:1, b:1),
% 23.04/23.39 skol8 [77, 4] (w:1, o:93, a:1, s:1, b:1),
% 23.04/23.39 skol9 [78, 4] (w:1, o:94, a:1, s:1, b:1),
% 23.04/23.39 skol10 [79, 3] (w:1, o:75, a:1, s:1, b:1),
% 23.04/23.39 skol11 [80, 3] (w:1, o:76, a:1, s:1, b:1),
% 23.04/23.39 skol12 [81, 2] (w:1, o:69, a:1, s:1, b:1),
% 23.04/23.39 skol13 [82, 5] (w:1, o:95, a:1, s:1, b:1),
% 23.04/23.39 skol14 [83, 3] (w:1, o:77, a:1, s:1, b:1),
% 23.04/23.39 skol15 [84, 3] (w:1, o:78, a:1, s:1, b:1),
% 23.04/23.39 skol16 [85, 3] (w:1, o:79, a:1, s:1, b:1),
% 23.04/23.39 skol17 [86, 2] (w:1, o:70, a:1, s:1, b:1),
% 23.04/23.39 skol18 [87, 2] (w:1, o:71, a:1, s:1, b:1),
% 23.04/23.39 skol19 [88, 4] (w:1, o:87, a:1, s:1, b:1),
% 23.04/23.39 skol20 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 23.04/23.39 skol21 [90, 4] (w:1, o:89, a:1, s:1, b:1),
% 23.04/23.39 skol22 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 23.04/23.39 skol23 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 23.04/23.39 skol24 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 23.04/23.39 skol25 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 23.04/23.39 skol26 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 23.04/23.39 skol27 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 23.04/23.39 skol28 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 23.04/23.39 skol29 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 23.04/23.39 skol30 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 23.04/23.39 skol31 [100, 0] (w:1, o:38, a:1, s:1, b:1).
% 23.04/23.39
% 23.04/23.39
% 23.04/23.39 Starting Search:
% 23.04/23.39
% 23.04/23.39 *** allocated 15000 integers for clauses
% 23.04/23.39 *** allocated 22500 integers for clauses
% 23.04/23.39 *** allocated 33750 integers for clauses
% 23.04/23.39 *** allocated 50625 integers for clauses
% 23.04/23.39 *** allocated 22500 integers for termspace/termends
% 23.04/23.39 *** allocated 75937 integers for clauses
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 33750 integers for termspace/termends
% 23.04/23.39 *** allocated 113905 integers for clauses
% 23.04/23.39 *** allocated 50625 integers for termspace/termends
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 8043
% 23.04/23.39 Kept: 2016
% 23.04/23.39 Inuse: 311
% 23.04/23.39 Deleted: 0
% 23.04/23.39 Deletedinuse: 0
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 170857 integers for clauses
% 23.04/23.39 *** allocated 75937 integers for termspace/termends
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 256285 integers for clauses
% 23.04/23.39 *** allocated 113905 integers for termspace/termends
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 16285
% 23.04/23.39 Kept: 4035
% 23.04/23.39 Inuse: 451
% 23.04/23.39 Deleted: 0
% 23.04/23.39 Deletedinuse: 0
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 384427 integers for clauses
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 170857 integers for termspace/termends
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 29470
% 23.04/23.39 Kept: 6180
% 23.04/23.39 Inuse: 531
% 23.04/23.39 Deleted: 0
% 23.04/23.39 Deletedinuse: 0
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 576640 integers for clauses
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 40677
% 23.04/23.39 Kept: 8184
% 23.04/23.39 Inuse: 671
% 23.04/23.39 Deleted: 1
% 23.04/23.39 Deletedinuse: 0
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 256285 integers for termspace/termends
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 55357
% 23.04/23.39 Kept: 10186
% 23.04/23.39 Inuse: 795
% 23.04/23.39 Deleted: 3
% 23.04/23.39 Deletedinuse: 1
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 864960 integers for clauses
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 66766
% 23.04/23.39 Kept: 12191
% 23.04/23.39 Inuse: 865
% 23.04/23.39 Deleted: 5
% 23.04/23.39 Deletedinuse: 3
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 81986
% 23.04/23.39 Kept: 14194
% 23.04/23.39 Inuse: 1022
% 23.04/23.39 Deleted: 9
% 23.04/23.39 Deletedinuse: 3
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 384427 integers for termspace/termends
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 90914
% 23.04/23.39 Kept: 16211
% 23.04/23.39 Inuse: 1105
% 23.04/23.39 Deleted: 21
% 23.04/23.39 Deletedinuse: 11
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 *** allocated 1297440 integers for clauses
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 100648
% 23.04/23.39 Kept: 18217
% 23.04/23.39 Inuse: 1205
% 23.04/23.39 Deleted: 24
% 23.04/23.39 Deletedinuse: 11
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 Resimplifying clauses:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 23.04/23.39 Generated: 108898
% 23.04/23.39 Kept: 20224
% 23.04/23.39 Inuse: 1272
% 23.04/23.39 Deleted: 1042
% 23.04/23.39 Deletedinuse: 15
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39 Resimplifying inuse:
% 23.04/23.39 Done
% 23.04/23.39
% 23.04/23.39
% 23.04/23.39 Intermediate Status:
% 88.15/88.57 Generated: 119493
% 88.15/88.57 Kept: 22225
% 88.15/88.57 Inuse: 1373
% 88.15/88.57 Deleted: 1062
% 88.15/88.57 Deletedinuse: 35
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 132338
% 88.15/88.57 Kept: 24227
% 88.15/88.57 Inuse: 1501
% 88.15/88.57 Deleted: 1071
% 88.15/88.57 Deletedinuse: 43
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 *** allocated 576640 integers for termspace/termends
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 140056
% 88.15/88.57 Kept: 26237
% 88.15/88.57 Inuse: 1613
% 88.15/88.57 Deleted: 1079
% 88.15/88.57 Deletedinuse: 51
% 88.15/88.57
% 88.15/88.57 *** allocated 1946160 integers for clauses
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 148717
% 88.15/88.57 Kept: 28237
% 88.15/88.57 Inuse: 1739
% 88.15/88.57 Deleted: 1255
% 88.15/88.57 Deletedinuse: 214
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 158945
% 88.15/88.57 Kept: 30244
% 88.15/88.57 Inuse: 1911
% 88.15/88.57 Deleted: 2179
% 88.15/88.57 Deletedinuse: 1031
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 167658
% 88.15/88.57 Kept: 32261
% 88.15/88.57 Inuse: 2013
% 88.15/88.57 Deleted: 2207
% 88.15/88.57 Deletedinuse: 1031
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 178971
% 88.15/88.57 Kept: 34280
% 88.15/88.57 Inuse: 2210
% 88.15/88.57 Deleted: 2226
% 88.15/88.57 Deletedinuse: 1031
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 189295
% 88.15/88.57 Kept: 36361
% 88.15/88.57 Inuse: 2344
% 88.15/88.57 Deleted: 2551
% 88.15/88.57 Deletedinuse: 1031
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 199621
% 88.15/88.57 Kept: 38373
% 88.15/88.57 Inuse: 2526
% 88.15/88.57 Deleted: 2651
% 88.15/88.57 Deletedinuse: 1036
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying clauses:
% 88.15/88.57 *** allocated 2919240 integers for clauses
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 207180
% 88.15/88.57 Kept: 40399
% 88.15/88.57 Inuse: 2641
% 88.15/88.57 Deleted: 18658
% 88.15/88.57 Deletedinuse: 1036
% 88.15/88.57
% 88.15/88.57 *** allocated 864960 integers for termspace/termends
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 230956
% 88.15/88.57 Kept: 42428
% 88.15/88.57 Inuse: 2815
% 88.15/88.57 Deleted: 18680
% 88.15/88.57 Deletedinuse: 1058
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 235295
% 88.15/88.57 Kept: 44461
% 88.15/88.57 Inuse: 2850
% 88.15/88.57 Deleted: 18680
% 88.15/88.57 Deletedinuse: 1058
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 240618
% 88.15/88.57 Kept: 46481
% 88.15/88.57 Inuse: 2893
% 88.15/88.57 Deleted: 18680
% 88.15/88.57 Deletedinuse: 1058
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 246367
% 88.15/88.57 Kept: 48485
% 88.15/88.57 Inuse: 2968
% 88.15/88.57 Deleted: 18685
% 88.15/88.57 Deletedinuse: 1058
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 256115
% 88.15/88.57 Kept: 50488
% 88.15/88.57 Inuse: 3058
% 88.15/88.57 Deleted: 18685
% 88.15/88.57 Deletedinuse: 1058
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 266530
% 88.15/88.57 Kept: 52514
% 88.15/88.57 Inuse: 3146
% 88.15/88.57 Deleted: 18692
% 88.15/88.57 Deletedinuse: 1058
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 276018
% 88.15/88.57 Kept: 54525
% 88.15/88.57 Inuse: 3224
% 88.15/88.57 Deleted: 18729
% 88.15/88.57 Deletedinuse: 1095
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 283580
% 88.15/88.57 Kept: 56602
% 88.15/88.57 Inuse: 3283
% 88.15/88.57 Deleted: 18729
% 88.15/88.57 Deletedinuse: 1095
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 292427
% 88.15/88.57 Kept: 58655
% 88.15/88.57 Inuse: 3333
% 88.15/88.57 Deleted: 18729
% 88.15/88.57 Deletedinuse: 1095
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying clauses:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 301636
% 88.15/88.57 Kept: 60783
% 88.15/88.57 Inuse: 3393
% 88.15/88.57 Deleted: 21344
% 88.15/88.57 Deletedinuse: 1095
% 88.15/88.57
% 88.15/88.57 *** allocated 4378860 integers for clauses
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 *** allocated 1297440 integers for termspace/termends
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 314466
% 88.15/88.57 Kept: 63012
% 88.15/88.57 Inuse: 3453
% 88.15/88.57 Deleted: 21344
% 88.15/88.57 Deletedinuse: 1095
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57 Resimplifying inuse:
% 88.15/88.57 Done
% 88.15/88.57
% 88.15/88.57
% 88.15/88.57 Intermediate Status:
% 88.15/88.57 Generated: 320398
% 88.15/88.57 Kept: 65016
% 88.15/88.57 Inuse: 3493
% 88.15/88.57 Deleted: 21344
% 88.15/88.57 Deletedinuse: 1095
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 332598
% 132.15/132.56 Kept: 67192
% 132.15/132.56 Inuse: 3563
% 132.15/132.56 Deleted: 21344
% 132.15/132.56 Deletedinuse: 1095
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 341573
% 132.15/132.56 Kept: 69195
% 132.15/132.56 Inuse: 3642
% 132.15/132.56 Deleted: 21381
% 132.15/132.56 Deletedinuse: 1129
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 352973
% 132.15/132.56 Kept: 71227
% 132.15/132.56 Inuse: 3703
% 132.15/132.56 Deleted: 21381
% 132.15/132.56 Deletedinuse: 1129
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 363565
% 132.15/132.56 Kept: 73246
% 132.15/132.56 Inuse: 3750
% 132.15/132.56 Deleted: 21381
% 132.15/132.56 Deletedinuse: 1129
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 371205
% 132.15/132.56 Kept: 75815
% 132.15/132.56 Inuse: 3785
% 132.15/132.56 Deleted: 21383
% 132.15/132.56 Deletedinuse: 1131
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 378900
% 132.15/132.56 Kept: 77827
% 132.15/132.56 Inuse: 3840
% 132.15/132.56 Deleted: 21386
% 132.15/132.56 Deletedinuse: 1131
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 387388
% 132.15/132.56 Kept: 79829
% 132.15/132.56 Inuse: 3911
% 132.15/132.56 Deleted: 21386
% 132.15/132.56 Deletedinuse: 1131
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying clauses:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 407324
% 132.15/132.56 Kept: 81930
% 132.15/132.56 Inuse: 4004
% 132.15/132.56 Deleted: 23446
% 132.15/132.56 Deletedinuse: 1157
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 420483
% 132.15/132.56 Kept: 83992
% 132.15/132.56 Inuse: 4056
% 132.15/132.56 Deleted: 23446
% 132.15/132.56 Deletedinuse: 1157
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 428551
% 132.15/132.56 Kept: 86000
% 132.15/132.56 Inuse: 4110
% 132.15/132.56 Deleted: 23447
% 132.15/132.56 Deletedinuse: 1158
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 436467
% 132.15/132.56 Kept: 88016
% 132.15/132.56 Inuse: 4169
% 132.15/132.56 Deleted: 23447
% 132.15/132.56 Deletedinuse: 1158
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 444318
% 132.15/132.56 Kept: 90092
% 132.15/132.56 Inuse: 4219
% 132.15/132.56 Deleted: 23447
% 132.15/132.56 Deletedinuse: 1158
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 *** allocated 1946160 integers for termspace/termends
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 453628
% 132.15/132.56 Kept: 92117
% 132.15/132.56 Inuse: 4284
% 132.15/132.56 Deleted: 23447
% 132.15/132.56 Deletedinuse: 1158
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 *** allocated 6568290 integers for clauses
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 463863
% 132.15/132.56 Kept: 94141
% 132.15/132.56 Inuse: 4371
% 132.15/132.56 Deleted: 23447
% 132.15/132.56 Deletedinuse: 1158
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 472065
% 132.15/132.56 Kept: 96143
% 132.15/132.56 Inuse: 4427
% 132.15/132.56 Deleted: 23447
% 132.15/132.56 Deletedinuse: 1158
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 482384
% 132.15/132.56 Kept: 98170
% 132.15/132.56 Inuse: 4519
% 132.15/132.56 Deleted: 23447
% 132.15/132.56 Deletedinuse: 1158
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 495284
% 132.15/132.56 Kept: 100179
% 132.15/132.56 Inuse: 4684
% 132.15/132.56 Deleted: 23447
% 132.15/132.56 Deletedinuse: 1158
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying clauses:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 507679
% 132.15/132.56 Kept: 102372
% 132.15/132.56 Inuse: 4769
% 132.15/132.56 Deleted: 24646
% 132.15/132.56 Deletedinuse: 1190
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 520186
% 132.15/132.56 Kept: 104455
% 132.15/132.56 Inuse: 4836
% 132.15/132.56 Deleted: 24722
% 132.15/132.56 Deletedinuse: 1263
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 530191
% 132.15/132.56 Kept: 106505
% 132.15/132.56 Inuse: 4891
% 132.15/132.56 Deleted: 24746
% 132.15/132.56 Deletedinuse: 1287
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 536509
% 132.15/132.56 Kept: 109059
% 132.15/132.56 Inuse: 4923
% 132.15/132.56 Deleted: 24818
% 132.15/132.56 Deletedinuse: 1356
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 542809
% 132.15/132.56 Kept: 111479
% 132.15/132.56 Inuse: 4943
% 132.15/132.56 Deleted: 24818
% 132.15/132.56 Deletedinuse: 1356
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 553381
% 132.15/132.56 Kept: 113755
% 132.15/132.56 Inuse: 4997
% 132.15/132.56 Deleted: 24924
% 132.15/132.56 Deletedinuse: 1461
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 578715
% 132.15/132.56 Kept: 115775
% 132.15/132.56 Inuse: 5055
% 132.15/132.56 Deleted: 24974
% 132.15/132.56 Deletedinuse: 1509
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 585085
% 132.15/132.56 Kept: 117835
% 132.15/132.56 Inuse: 5079
% 132.15/132.56 Deleted: 24974
% 132.15/132.56 Deletedinuse: 1509
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 604866
% 132.15/132.56 Kept: 120126
% 132.15/132.56 Inuse: 5110
% 132.15/132.56 Deleted: 24974
% 132.15/132.56 Deletedinuse: 1509
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying clauses:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Intermediate Status:
% 132.15/132.56 Generated: 611828
% 132.15/132.56 Kept: 122150
% 132.15/132.56 Inuse: 5139
% 132.15/132.56 Deleted: 30416
% 132.15/132.56 Deletedinuse: 1572
% 132.15/132.56
% 132.15/132.56 Resimplifying inuse:
% 132.15/132.56 Done
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Bliksems!, er is een bewijs:
% 132.15/132.56 % SZS status Theorem
% 132.15/132.56 % SZS output start Refutation
% 132.15/132.56
% 132.15/132.56 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 132.15/132.56 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 132.15/132.56 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 132.15/132.56 , Z, X ) }.
% 132.15/132.56 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 132.15/132.56 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 132.15/132.56 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 132.15/132.56 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 132.15/132.56 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 132.15/132.56 para( X, Y, Z, T ) }.
% 132.15/132.56 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 132.15/132.56 perp( X, Y, Z, T ) }.
% 132.15/132.56 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 132.15/132.56 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 132.15/132.56 circle( T, X, Y, Z ) }.
% 132.15/132.56 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 132.15/132.56 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 132.15/132.56 }.
% 132.15/132.56 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 132.15/132.56 }.
% 132.15/132.56 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 132.15/132.56 }.
% 132.15/132.56 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 132.15/132.56 ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 132.15/132.56 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 132.15/132.56 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 132.15/132.56 cong( X, Y, Z, T ) }.
% 132.15/132.56 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 132.15/132.56 , T, U, W ) }.
% 132.15/132.56 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 132.15/132.56 T, X, T, Y ) }.
% 132.15/132.56 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 132.15/132.56 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 132.15/132.56 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 132.15/132.56 , Y, Z, T ) }.
% 132.15/132.56 (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z
% 132.15/132.56 , T, X, Y ) }.
% 132.15/132.56 (49) {G0,W19,D2,L3,V5,M3} I { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T
% 132.15/132.56 , U, X, U, T ), perp( Y, X, X, Z ) }.
% 132.15/132.56 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 132.15/132.56 ( X, Z, Y, Z ) }.
% 132.15/132.56 (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong
% 132.15/132.56 ( Z, X, Z, Y ) }.
% 132.15/132.56 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 132.15/132.56 perp( X, Y, Z, T ) }.
% 132.15/132.56 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 132.15/132.56 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 132.15/132.56 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 132.15/132.56 , Z, Y, T ) }.
% 132.15/132.56 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 132.15/132.56 ( X, Y, Z ) }.
% 132.15/132.56 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 132.15/132.56 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 132.15/132.56 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 132.15/132.56 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 132.15/132.56 (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 ) }.
% 132.15/132.56 (117) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol20, skol26, skol27 ) }.
% 132.15/132.56 (118) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol25, skol22 ) }.
% 132.15/132.56 (119) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol22, skol28, skol27 ) }.
% 132.15/132.56 (120) {G0,W4,D2,L1,V0,M1} I { midp( skol29, skol20, skol22 ) }.
% 132.15/132.56 (121) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol29, skol27 ) }.
% 132.15/132.56 (122) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol22 ) }.
% 132.15/132.56 (126) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol23, skol23, skol24 ) }.
% 132.15/132.56 (127) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol24, skol20, skol22 ) }.
% 132.15/132.56 (133) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 132.15/132.56 ), cyclic( Y, Z, T, T ) }.
% 132.15/132.56 (134) {G2,W10,D2,L2,V3,M2} F(133) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 132.15/132.56 Z ) }.
% 132.15/132.56 (135) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 132.15/132.56 , T ) }.
% 132.15/132.56 (140) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp( X, Z, Y, Y )
% 132.15/132.56 }.
% 132.15/132.56 (141) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 132.15/132.56 , Y ), perp( Y, X, X, Y ) }.
% 132.15/132.56 (150) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 132.15/132.56 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 132.15/132.56 (165) {G1,W4,D2,L1,V0,M1} R(0,122) { coll( skol30, skol22, skol20 ) }.
% 132.15/132.56 (168) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol22, skol30, skol20 ) }.
% 132.15/132.56 (171) {G1,W4,D2,L1,V0,M1} R(1,122) { coll( skol20, skol30, skol22 ) }.
% 132.15/132.56 (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 132.15/132.56 coll( Z, X, T ) }.
% 132.15/132.56 (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 132.15/132.56 (213) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para( Z, T, Y, X
% 132.15/132.56 ) }.
% 132.15/132.56 (214) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 132.15/132.56 ) }.
% 132.15/132.56 (238) {G3,W4,D2,L1,V0,M1} R(199,171) { coll( skol22, skol20, skol22 ) }.
% 132.15/132.56 (241) {G3,W12,D2,L3,V4,M3} R(199,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 132.15/132.56 coll( X, Z, T ) }.
% 132.15/132.56 (243) {G3,W4,D2,L1,V0,M1} R(199,168) { coll( skol20, skol22, skol20 ) }.
% 132.15/132.56 (254) {G4,W8,D2,L2,V3,M2} F(241) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 132.15/132.56 (255) {G1,W5,D2,L1,V0,M1} R(6,117) { perp( skol25, skol20, skol27, skol26 )
% 132.15/132.56 }.
% 132.15/132.56 (257) {G1,W5,D2,L1,V0,M1} R(6,121) { perp( skol20, skol22, skol27, skol29 )
% 132.15/132.56 }.
% 132.15/132.56 (266) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 132.15/132.56 ) }.
% 132.15/132.56 (267) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 132.15/132.56 ) }.
% 132.15/132.56 (268) {G1,W5,D2,L1,V0,M1} R(7,117) { perp( skol26, skol27, skol25, skol20 )
% 132.15/132.56 }.
% 132.15/132.56 (269) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol28, skol27, skol25, skol22 )
% 132.15/132.56 }.
% 132.15/132.56 (270) {G1,W5,D2,L1,V0,M1} R(7,121) { perp( skol29, skol27, skol20, skol22 )
% 132.15/132.56 }.
% 132.15/132.56 (271) {G1,W5,D2,L1,V0,M1} R(7,126) { perp( skol23, skol24, skol27, skol23 )
% 132.15/132.56 }.
% 132.15/132.56 (275) {G4,W4,D2,L1,V0,M1} R(238,0) { coll( skol22, skol22, skol20 ) }.
% 132.15/132.56 (293) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 132.15/132.56 W ), para( U, W, X, Y ) }.
% 132.15/132.56 (301) {G1,W10,D2,L2,V2,M2} R(8,127) { ! perp( skol23, skol24, X, Y ), !
% 132.15/132.56 perp( X, Y, skol20, skol22 ) }.
% 132.15/132.56 (315) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), ! perp( Z, T, U,
% 132.15/132.56 W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 132.15/132.56 (335) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20, skol25 ) }.
% 132.15/132.56 (337) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol29, skol22, skol20 ) }.
% 132.15/132.56 (361) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 132.15/132.56 , T, Y ) }.
% 132.15/132.56 (371) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 132.15/132.56 , X, T ) }.
% 132.15/132.56 (372) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 132.15/132.56 , X, T ) }.
% 132.15/132.56 (395) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 132.15/132.56 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 132.15/132.56 (411) {G2,W10,D2,L2,V2,M2} R(268,8) { ! perp( skol25, skol20, X, Y ), para
% 132.15/132.56 ( skol26, skol27, X, Y ) }.
% 132.15/132.56 (413) {G2,W5,D2,L1,V0,M1} R(268,6) { perp( skol26, skol27, skol20, skol25 )
% 132.15/132.56 }.
% 132.15/132.56 (417) {G3,W5,D2,L1,V0,M1} R(413,7) { perp( skol20, skol25, skol26, skol27 )
% 132.15/132.56 }.
% 132.15/132.56 (418) {G4,W10,D2,L2,V2,M2} R(417,9) { ! para( X, Y, skol20, skol25 ), perp
% 132.15/132.56 ( X, Y, skol26, skol27 ) }.
% 132.15/132.56 (421) {G4,W5,D2,L1,V0,M1} R(417,6) { perp( skol20, skol25, skol27, skol26 )
% 132.15/132.56 }.
% 132.15/132.56 (422) {G5,W10,D2,L2,V2,M2} R(421,9) { ! para( X, Y, skol20, skol25 ), perp
% 132.15/132.56 ( X, Y, skol27, skol26 ) }.
% 132.15/132.56 (425) {G5,W5,D2,L1,V0,M1} R(421,7) { perp( skol27, skol26, skol20, skol25 )
% 132.15/132.56 }.
% 132.15/132.56 (428) {G6,W10,D2,L2,V2,M2} R(425,9) { ! para( X, Y, skol27, skol26 ), perp
% 132.15/132.56 ( X, Y, skol20, skol25 ) }.
% 132.15/132.56 (431) {G6,W5,D2,L1,V0,M1} R(425,6) { perp( skol27, skol26, skol25, skol20 )
% 132.15/132.56 }.
% 132.15/132.56 (432) {G7,W10,D2,L2,V2,M2} R(431,9) { ! para( X, Y, skol27, skol26 ), perp
% 132.15/132.56 ( X, Y, skol25, skol20 ) }.
% 132.15/132.56 (438) {G2,W5,D2,L1,V0,M1} R(269,6) { perp( skol28, skol27, skol22, skol25 )
% 132.15/132.56 }.
% 132.15/132.56 (442) {G3,W5,D2,L1,V0,M1} R(438,7) { perp( skol22, skol25, skol28, skol27 )
% 132.15/132.56 }.
% 132.15/132.56 (447) {G4,W10,D2,L2,V2,M2} R(442,8) { ! perp( skol28, skol27, X, Y ), para
% 132.15/132.56 ( skol22, skol25, X, Y ) }.
% 132.15/132.56 (467) {G2,W5,D2,L1,V0,M1} R(270,6) { perp( skol29, skol27, skol22, skol20 )
% 132.15/132.56 }.
% 132.15/132.56 (471) {G3,W5,D2,L1,V0,M1} R(467,7) { perp( skol22, skol20, skol29, skol27 )
% 132.15/132.56 }.
% 132.15/132.56 (475) {G4,W5,D2,L1,V0,M1} R(471,6) { perp( skol22, skol20, skol27, skol29 )
% 132.15/132.56 }.
% 132.15/132.56 (476) {G5,W10,D2,L2,V2,M2} R(475,9) { ! para( X, Y, skol22, skol20 ), perp
% 132.15/132.56 ( X, Y, skol27, skol29 ) }.
% 132.15/132.56 (479) {G5,W5,D2,L1,V0,M1} R(475,7) { perp( skol27, skol29, skol22, skol20 )
% 132.15/132.56 }.
% 132.15/132.56 (493) {G6,W10,D2,L2,V2,M2} R(479,8) { ! perp( skol22, skol20, X, Y ), para
% 132.15/132.56 ( skol27, skol29, X, Y ) }.
% 132.15/132.56 (495) {G6,W5,D2,L1,V0,M1} R(479,6) { perp( skol27, skol29, skol20, skol22 )
% 132.15/132.56 }.
% 132.15/132.56 (496) {G7,W10,D2,L2,V2,M2} R(495,9) { ! para( X, Y, skol27, skol29 ), perp
% 132.15/132.56 ( X, Y, skol20, skol22 ) }.
% 132.15/132.56 (502) {G2,W5,D2,L1,V0,M1} R(271,6) { perp( skol23, skol24, skol23, skol27 )
% 132.15/132.56 }.
% 132.15/132.56 (504) {G3,W10,D2,L2,V2,M2} R(502,8) { ! perp( skol23, skol27, X, Y ), para
% 132.15/132.56 ( skol23, skol24, X, Y ) }.
% 132.15/132.56 (531) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ), cong( Z, T, Y,
% 132.15/132.56 X ) }.
% 132.15/132.56 (540) {G2,W10,D2,L2,V2,M2} R(255,9) { ! para( X, Y, skol25, skol20 ), perp
% 132.15/132.56 ( X, Y, skol27, skol26 ) }.
% 132.15/132.56 (542) {G2,W10,D2,L2,V2,M2} R(255,8) { ! perp( X, Y, skol25, skol20 ), para
% 132.15/132.56 ( X, Y, skol27, skol26 ) }.
% 132.15/132.56 (547) {G2,W10,D2,L2,V2,M2} R(257,8) { ! perp( skol27, skol29, X, Y ), para
% 132.15/132.56 ( skol20, skol22, X, Y ) }.
% 132.15/132.56 (553) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( U, W, Z,
% 132.15/132.56 T ), ! cong( X, Y, U, W ) }.
% 132.15/132.56 (562) {G1,W20,D2,L4,V6,M4} R(24,11) { ! cong( X, Y, Z, T ), ! cong( Z, T, X
% 132.15/132.56 , U ), ! cong( X, Y, X, W ), circle( X, Y, W, U ) }.
% 132.15/132.56 (563) {G2,W15,D2,L3,V4,M3} F(562) { ! cong( X, Y, X, Z ), ! cong( X, Z, X,
% 132.15/132.56 T ), circle( X, Y, Z, T ) }.
% 132.15/132.56 (566) {G2,W10,D2,L2,V4,M2} F(553) { ! cong( X, Y, Z, T ), cong( Z, T, Z, T
% 132.15/132.56 ) }.
% 132.15/132.56 (571) {G5,W8,D2,L2,V3,M2} R(254,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 132.15/132.56 (572) {G5,W8,D2,L2,V3,M2} R(254,1) { coll( X, Y, X ), ! coll( Z, X, Y ) }.
% 132.15/132.56 (576) {G6,W8,D2,L2,V3,M2} R(571,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 132.15/132.56 (577) {G6,W8,D2,L2,V3,M2} R(571,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 132.15/132.56 (578) {G7,W8,D2,L2,V3,M2} R(576,571) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 132.15/132.56 }.
% 132.15/132.56 (581) {G7,W8,D2,L2,V3,M2} R(577,577) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 132.15/132.56 }.
% 132.15/132.56 (586) {G8,W12,D2,L3,V4,M3} R(581,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 132.15/132.56 , coll( T, Y, X ) }.
% 132.15/132.56 (587) {G9,W8,D2,L2,V3,M2} F(586) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 132.15/132.56 (590) {G10,W8,D2,L2,V3,M2} R(587,578) { coll( X, X, Y ), ! coll( Z, Y, X )
% 132.15/132.56 }.
% 132.15/132.56 (591) {G10,W8,D2,L2,V3,M2} R(587,576) { coll( X, X, Y ), ! coll( Z, X, Y )
% 132.15/132.56 }.
% 132.15/132.56 (637) {G11,W8,D2,L2,V3,M2} R(69,591) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 132.15/132.56 }.
% 132.15/132.56 (653) {G2,W4,D2,L1,V0,M1} R(69,335) { coll( skol26, skol20, skol25 ) }.
% 132.15/132.56 (828) {G6,W4,D2,L1,V0,M1} R(653,572) { coll( skol20, skol25, skol20 ) }.
% 132.15/132.56 (830) {G11,W4,D2,L1,V0,M1} R(653,590) { coll( skol25, skol25, skol20 ) }.
% 132.15/132.56 (880) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 132.15/132.56 ), ! para( X, Z, X, Z ) }.
% 132.15/132.56 (1000) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 132.15/132.56 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 132.15/132.56 (1032) {G2,W15,D2,L3,V3,M3} F(1000) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 132.15/132.56 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 132.15/132.56 (1066) {G1,W9,D2,L2,V2,M2} R(44,118) { ! midp( X, skol25, Y ), para( skol28
% 132.15/132.56 , X, skol22, Y ) }.
% 132.15/132.56 (1293) {G1,W15,D2,L3,V4,M3} R(49,39) { ! circle( X, Y, Z, Y ), perp( X, Y,
% 132.15/132.56 Y, T ), ! para( Y, T, Y, Y ) }.
% 132.15/132.56 (1376) {G2,W10,D2,L2,V1,M2} R(52,335) { ! perp( skol20, X, X, skol25 ),
% 132.15/132.56 cong( skol20, skol26, X, skol26 ) }.
% 132.15/132.56 (1675) {G7,W5,D2,L1,V0,M1} R(55,495);r(120) { cong( skol27, skol20, skol27
% 132.15/132.56 , skol22 ) }.
% 132.15/132.56 (1687) {G7,W5,D2,L1,V0,M1} R(55,431);r(116) { cong( skol27, skol25, skol27
% 132.15/132.56 , skol20 ) }.
% 132.15/132.56 (1700) {G2,W10,D2,L2,V1,M2} R(55,335) { ! perp( X, skol26, skol20, skol25 )
% 132.15/132.56 , cong( X, skol20, X, skol25 ) }.
% 132.15/132.56 (1715) {G8,W5,D2,L1,V0,M1} R(1675,22) { cong( skol27, skol20, skol22,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 (1726) {G9,W5,D2,L1,V0,M1} R(1715,23) { cong( skol22, skol27, skol27,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (1729) {G10,W5,D2,L1,V0,M1} R(1726,22) { cong( skol22, skol27, skol20,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 (1733) {G11,W10,D2,L2,V1,M2} R(56,1729) { ! cong( skol22, X, skol20, X ),
% 132.15/132.56 perp( skol22, skol20, skol27, X ) }.
% 132.15/132.56 (1755) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 132.15/132.56 , T ), perp( Y, T, X, Z ) }.
% 132.15/132.56 (1799) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z
% 132.15/132.56 , T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong( U, W, Z, T )
% 132.15/132.56 }.
% 132.15/132.56 (1914) {G8,W5,D2,L1,V0,M1} R(1687,22) { cong( skol27, skol25, skol20,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 (1925) {G9,W5,D2,L1,V0,M1} R(1914,23) { cong( skol20, skol27, skol27,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (1928) {G10,W5,D2,L1,V0,M1} R(1925,22) { cong( skol20, skol27, skol25,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 (2064) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 132.15/132.56 ), ! midp( X, U, T ) }.
% 132.15/132.56 (2084) {G2,W9,D2,L2,V3,M2} F(2064) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 132.15/132.56 }.
% 132.15/132.56 (2290) {G8,W8,D2,L2,V0,M2} R(67,1687) { ! coll( skol27, skol25, skol20 ),
% 132.15/132.56 midp( skol27, skol25, skol20 ) }.
% 132.15/132.56 (2534) {G2,W5,D2,L1,V0,M1} R(68,335) { cong( skol26, skol20, skol26, skol25
% 132.15/132.56 ) }.
% 132.15/132.56 (2535) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25, skol26, skol20
% 132.15/132.56 ) }.
% 132.15/132.56 (2738) {G3,W5,D2,L1,V0,M1} R(2534,22) { cong( skol26, skol20, skol25,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (2750) {G4,W5,D2,L1,V0,M1} R(2738,23) { cong( skol25, skol26, skol26,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (2814) {G5,W5,D2,L1,V0,M1} R(2750,22) { cong( skol25, skol26, skol20,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (7639) {G3,W5,D2,L1,V0,M1} R(134,2535) { cyclic( skol25, skol20, skol20,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (7801) {G6,W5,D2,L1,V0,M1} R(140,2814) { perp( skol25, skol20, skol26,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (8503) {G5,W10,D3,L2,V1,M2} R(150,337);r(275) { ! coll( skol20, skol22,
% 132.15/132.56 skol20 ), midp( skol7( skol22, X ), skol22, X ) }.
% 132.15/132.56 (8510) {G12,W10,D3,L2,V1,M2} R(150,116);r(830) { ! coll( skol20, skol25,
% 132.15/132.56 skol20 ), midp( skol7( skol25, X ), skol25, X ) }.
% 132.15/132.56 (8739) {G4,W5,D2,L1,V0,M1} R(7639,15) { cyclic( skol20, skol25, skol20,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (8746) {G5,W5,D2,L1,V0,M1} R(8739,14) { cyclic( skol20, skol20, skol25,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (8778) {G6,W5,D2,L1,V0,M1} R(8746,13) { cyclic( skol20, skol20, skol20,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (8779) {G7,W5,D2,L1,V0,M1} R(8778,135) { cyclic( skol20, skol20, skol25,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (8790) {G8,W5,D2,L1,V0,M1} R(8779,14) { cyclic( skol20, skol25, skol20,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (8791) {G9,W5,D2,L1,V0,M1} R(8790,135) { cyclic( skol25, skol20, skol25,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (8795) {G9,W5,D2,L1,V0,M1} R(8790,15) { cyclic( skol25, skol20, skol20,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (8805) {G10,W5,D2,L1,V0,M1} R(8791,14) { cyclic( skol25, skol25, skol20,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (8809) {G11,W5,D2,L1,V0,M1} R(8805,13) { cyclic( skol25, skol25, skol25,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (8810) {G12,W5,D2,L1,V0,M1} R(8809,135) { cyclic( skol25, skol25, skol20,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (8815) {G13,W10,D2,L2,V0,M2} R(8810,141) { ! cong( skol25, skol20, skol25,
% 132.15/132.56 skol20 ), perp( skol20, skol25, skol25, skol20 ) }.
% 132.15/132.56 (20045) {G6,W6,D3,L1,V1,M1} S(8503);r(243) { midp( skol7( skol22, X ),
% 132.15/132.56 skol22, X ) }.
% 132.15/132.56 (20047) {G13,W6,D3,L1,V1,M1} S(8510);r(828) { midp( skol7( skol25, X ),
% 132.15/132.56 skol25, X ) }.
% 132.15/132.56 (24272) {G7,W5,D2,L1,V0,M1} R(411,7801) { para( skol26, skol27, skol26,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (27516) {G12,W4,D2,L1,V1,M1} R(20045,637) { coll( skol22, skol22, X ) }.
% 132.15/132.56 (27613) {G13,W4,D2,L1,V2,M1} R(27516,194);r(27516) { coll( Y, skol22, X )
% 132.15/132.56 }.
% 132.15/132.56 (27624) {G14,W4,D2,L1,V3,M1} R(27613,194);r(27613) { coll( Z, X, Y ) }.
% 132.15/132.56 (27947) {G14,W6,D3,L1,V1,M1} R(20047,10) { midp( skol7( skol25, X ), X,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (28055) {G15,W10,D3,L2,V2,M2} R(27947,150);r(27624) { ! coll( skol25, X,
% 132.15/132.56 skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 132.15/132.56 (38239) {G15,W10,D2,L2,V3,M2} S(880);r(27624) { cyclic( Z, Y, X, X ), !
% 132.15/132.56 para( X, Z, X, Z ) }.
% 132.15/132.56 (40096) {G16,W6,D3,L1,V2,M1} S(28055);r(27624) { midp( skol7( X, Y ), X, Y
% 132.15/132.56 ) }.
% 132.15/132.56 (40346) {G15,W4,D2,L1,V0,M1} S(2290);r(27624) { midp( skol27, skol25,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (41416) {G17,W6,D3,L1,V2,M1} R(40096,10) { midp( skol7( X, Y ), Y, X ) }.
% 132.15/132.56 (41651) {G10,W5,D2,L1,V0,M1} R(1032,8795);r(7639) { cong( skol25, skol20,
% 132.15/132.56 skol25, skol20 ) }.
% 132.15/132.56 (46948) {G16,W5,D2,L1,V0,M1} R(1066,40346) { para( skol28, skol27, skol22,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (47014) {G17,W5,D2,L1,V0,M1} R(46948,476) { perp( skol28, skol27, skol27,
% 132.15/132.56 skol29 ) }.
% 132.15/132.56 (47057) {G18,W5,D2,L1,V0,M1} R(47014,447) { para( skol22, skol25, skol27,
% 132.15/132.56 skol29 ) }.
% 132.15/132.56 (47108) {G19,W5,D2,L1,V0,M1} R(47057,496) { perp( skol22, skol25, skol20,
% 132.15/132.56 skol22 ) }.
% 132.15/132.56 (47184) {G20,W5,D2,L1,V0,M1} R(47108,7) { perp( skol20, skol22, skol22,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (57139) {G21,W5,D2,L1,V0,M1} R(1376,47184) { cong( skol20, skol26, skol22,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (57202) {G22,W5,D2,L1,V0,M1} R(57139,23) { cong( skol22, skol26, skol20,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (60534) {G14,W5,D2,L1,V0,M1} S(8815);r(41651) { perp( skol20, skol25,
% 132.15/132.56 skol25, skol20 ) }.
% 132.15/132.56 (60565) {G15,W5,D2,L1,V0,M1} R(60534,542) { para( skol20, skol25, skol27,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (60641) {G16,W5,D2,L1,V0,M1} R(60565,213) { para( skol26, skol27, skol20,
% 132.15/132.56 skol25 ) }.
% 132.15/132.56 (60796) {G17,W5,D2,L1,V0,M1} R(60641,422) { perp( skol26, skol27, skol27,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (60869) {G18,W5,D2,L1,V0,M1} R(60796,267) { perp( skol27, skol26, skol27,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (60938) {G19,W10,D2,L2,V2,M2} R(60869,293) { ! perp( X, Y, skol27, skol26 )
% 132.15/132.56 , para( skol27, skol26, X, Y ) }.
% 132.15/132.56 (70521) {G23,W5,D2,L1,V0,M1} R(1733,57202) { perp( skol22, skol20, skol27,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (70592) {G24,W5,D2,L1,V0,M1} R(70521,493) { para( skol27, skol29, skol27,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (70653) {G25,W5,D2,L1,V0,M1} R(70592,432) { perp( skol27, skol29, skol25,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (70695) {G26,W5,D2,L1,V0,M1} R(70653,547) { para( skol20, skol22, skol25,
% 132.15/132.56 skol20 ) }.
% 132.15/132.56 (70748) {G27,W5,D2,L1,V0,M1} R(70695,540) { perp( skol20, skol22, skol27,
% 132.15/132.56 skol26 ) }.
% 132.15/132.56 (79040) {G28,W5,D2,L1,V0,M1} R(70748,266) { perp( skol26, skol27, skol20,
% 132.15/132.56 skol22 ) }.
% 132.15/132.56 (79063) {G29,W5,D2,L1,V0,M1} R(79040,301) { ! perp( skol23, skol24, skol26
% 132.15/132.56 , skol27 ) }.
% 132.15/132.56 (79085) {G30,W5,D2,L1,V0,M1} R(79063,418) { ! para( skol23, skol24, skol20
% 132.15/132.56 , skol25 ) }.
% 132.15/132.56 (79116) {G31,W5,D2,L1,V0,M1} R(79085,504) { ! perp( skol23, skol27, skol20
% 132.15/132.56 , skol25 ) }.
% 132.15/132.56 (79162) {G32,W5,D2,L1,V0,M1} R(79116,1755);r(1928) { ! cong( skol20, skol23
% 132.15/132.56 , skol25, skol23 ) }.
% 132.15/132.56 (79207) {G33,W5,D2,L1,V0,M1} R(79162,531) { ! cong( skol23, skol25, skol20
% 132.15/132.56 , skol23 ) }.
% 132.15/132.56 (79225) {G34,W5,D2,L1,V0,M1} R(79207,531) { ! cong( skol23, skol20, skol23
% 132.15/132.56 , skol25 ) }.
% 132.15/132.56 (79235) {G35,W5,D2,L1,V0,M1} R(79225,1700) { ! perp( skol23, skol26, skol20
% 132.15/132.56 , skol25 ) }.
% 132.15/132.56 (79299) {G36,W5,D2,L1,V0,M1} R(79235,428) { ! para( skol23, skol26, skol27
% 132.15/132.56 , skol26 ) }.
% 132.15/132.56 (79329) {G37,W15,D2,L3,V4,M3} R(79299,315) { ! para( X, Y, Z, T ), ! perp(
% 132.15/132.56 Z, T, skol27, skol26 ), ! perp( skol23, skol26, X, Y ) }.
% 132.15/132.56 (79351) {G38,W5,D2,L1,V0,M1} F(79329);r(60938) { ! perp( skol23, skol26,
% 132.15/132.56 skol27, skol26 ) }.
% 132.15/132.56 (79371) {G39,W5,D2,L1,V0,M1} R(79351,6) { ! perp( skol23, skol26, skol26,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 (79960) {G40,W5,D2,L1,V1,M1} R(79371,1293);r(24272) { ! circle( skol23,
% 132.15/132.56 skol26, X, skol26 ) }.
% 132.15/132.56 (79974) {G41,W5,D2,L1,V1,M1} R(79960,563);r(23) { ! cong( skol23, X, skol23
% 132.15/132.56 , skol26 ) }.
% 132.15/132.56 (79995) {G42,W5,D2,L1,V2,M1} R(79974,566) { ! cong( X, Y, skol23, skol26 )
% 132.15/132.56 }.
% 132.15/132.56 (80051) {G43,W5,D2,L1,V0,M1} R(79995,1376) { ! perp( skol20, skol23, skol23
% 132.15/132.56 , skol25 ) }.
% 132.15/132.56 (112593) {G18,W5,D2,L1,V2,M1} R(2084,41416) { para( X, Y, Y, X ) }.
% 132.15/132.56 (112606) {G19,W5,D2,L1,V2,M1} R(112593,214) { para( X, Y, X, Y ) }.
% 132.15/132.56 (120941) {G20,W5,D2,L1,V3,M1} S(38239);r(112606) { cyclic( Z, Y, X, X ) }.
% 132.15/132.56 (122310) {G21,W5,D2,L1,V3,M1} R(120941,372) { cyclic( X, Y, Z, Y ) }.
% 132.15/132.56 (122311) {G21,W5,D2,L1,V3,M1} R(120941,371) { cyclic( X, Y, Z, X ) }.
% 132.15/132.56 (122312) {G21,W5,D2,L1,V3,M1} R(120941,361) { cyclic( X, Y, Y, Z ) }.
% 132.15/132.56 (122325) {G22,W5,D2,L1,V2,M1} R(122310,1032);r(122311) { cong( X, Y, X, Y )
% 132.15/132.56 }.
% 132.15/132.56 (122333) {G22,W5,D2,L1,V3,M1} R(122310,395);r(122312) { cyclic( Y, Y, Z, T
% 132.15/132.56 ) }.
% 132.15/132.56 (122355) {G23,W15,D2,L3,V5,M3} R(122333,1799);r(122325) { perp( Z, X, X, Y
% 132.15/132.56 ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 132.15/132.56 (122377) {G24,W5,D2,L1,V3,M1} F(122355);r(122325) { perp( X, Y, Y, Z ) }.
% 132.15/132.56 (122458) {G44,W0,D0,L0,V0,M0} R(122377,80051) { }.
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 % SZS output end Refutation
% 132.15/132.56 found a proof!
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Unprocessed initial clauses:
% 132.15/132.56
% 132.15/132.56 (122460) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 132.15/132.56 (122461) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 132.15/132.56 (122462) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 132.15/132.56 ( Y, Z, X ) }.
% 132.15/132.56 (122463) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 132.15/132.56 }.
% 132.15/132.56 (122464) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 132.15/132.56 }.
% 132.15/132.56 (122465) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 132.15/132.56 , para( X, Y, Z, T ) }.
% 132.15/132.56 (122466) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 132.15/132.56 }.
% 132.15/132.56 (122467) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 132.15/132.56 }.
% 132.15/132.56 (122468) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 132.15/132.56 , para( X, Y, Z, T ) }.
% 132.15/132.56 (122469) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 132.15/132.56 , perp( X, Y, Z, T ) }.
% 132.15/132.56 (122470) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 132.15/132.56 (122471) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 132.15/132.56 , circle( T, X, Y, Z ) }.
% 132.15/132.56 (122472) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 132.15/132.56 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 (122473) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 132.15/132.56 ) }.
% 132.15/132.56 (122474) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 132.15/132.56 ) }.
% 132.15/132.56 (122475) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 132.15/132.56 ) }.
% 132.15/132.56 (122476) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y
% 132.15/132.56 , T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 (122477) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 132.15/132.56 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 132.15/132.56 (122478) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 132.15/132.56 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 132.15/132.56 (122479) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 132.15/132.56 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 132.15/132.56 (122480) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 132.15/132.56 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 132.15/132.56 (122481) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ),
% 132.15/132.56 ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0
% 132.15/132.56 , V1 ) }.
% 132.15/132.56 (122482) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 132.15/132.56 }.
% 132.15/132.56 (122483) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 132.15/132.56 }.
% 132.15/132.56 (122484) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 132.15/132.56 , cong( X, Y, Z, T ) }.
% 132.15/132.56 (122485) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 132.15/132.56 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 132.15/132.56 (122486) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 132.15/132.56 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 132.15/132.56 (122487) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 132.15/132.56 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 132.15/132.56 (122488) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 132.15/132.56 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 132.15/132.56 (122489) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ),
% 132.15/132.56 ! eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0
% 132.15/132.56 , V1 ) }.
% 132.15/132.56 (122490) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 132.15/132.56 , Z, T, U, W ) }.
% 132.15/132.56 (122491) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 132.15/132.56 , Z, T, U, W ) }.
% 132.15/132.56 (122492) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 132.15/132.56 , Z, T, U, W ) }.
% 132.15/132.56 (122493) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri
% 132.15/132.56 ( V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 132.15/132.56 (122494) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 132.15/132.56 , Z, T, U, W ) }.
% 132.15/132.56 (122495) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 132.15/132.56 , Z, T, U, W ) }.
% 132.15/132.56 (122496) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 132.15/132.56 , Z, T, U, W ) }.
% 132.15/132.56 (122497) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri
% 132.15/132.56 ( V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 132.15/132.56 (122498) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para
% 132.15/132.56 ( X, Y, Z, T ) }.
% 132.15/132.56 (122499) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W
% 132.15/132.56 , Z, T, U, W ) }.
% 132.15/132.56 (122500) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z,
% 132.15/132.56 Y, T, X, T, Y ) }.
% 132.15/132.56 (122501) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll
% 132.15/132.56 ( Z, T, X ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 (122502) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), !
% 132.15/132.56 coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 (122503) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U
% 132.15/132.56 , T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong
% 132.15/132.56 ( X, Y, Z, T ) }.
% 132.15/132.56 (122504) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 132.15/132.56 ( Z, T, X, Y ) }.
% 132.15/132.56 (122505) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 132.15/132.56 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 132.15/132.56 (122506) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y
% 132.15/132.56 , X, Y, Z, Y ) }.
% 132.15/132.56 (122507) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll
% 132.15/132.56 ( Z, X, Y ), cong( Z, X, Z, Y ) }.
% 132.15/132.56 (122508) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 132.15/132.56 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 132.15/132.56 (122509) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 132.15/132.56 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 132.15/132.56 (122510) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z )
% 132.15/132.56 , eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 132.15/132.56 (122511) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y )
% 132.15/132.56 , ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 132.15/132.56 (122512) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 132.15/132.56 cong( X, Z, Y, Z ) }.
% 132.15/132.56 (122513) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z )
% 132.15/132.56 , perp( X, Y, Y, Z ) }.
% 132.15/132.56 (122514) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 132.15/132.56 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 132.15/132.56 (122515) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 132.15/132.56 cong( Z, X, Z, Y ) }.
% 132.15/132.56 (122516) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 132.15/132.56 , perp( X, Y, Z, T ) }.
% 132.15/132.56 (122517) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 132.15/132.56 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 132.15/132.56 (122518) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 132.15/132.56 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 132.15/132.56 , W ) }.
% 132.15/132.56 (122519) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X,
% 132.15/132.56 Y, X, Z, T, U, T, W ) }.
% 132.15/132.56 (122520) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X,
% 132.15/132.56 Y, Y, Z, T, U, U, W ) }.
% 132.15/132.56 (122521) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 132.15/132.56 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 132.15/132.56 (122522) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y,
% 132.15/132.56 Z, T ) }.
% 132.15/132.56 (122523) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 132.15/132.56 ( X, Z, Y, T ) }.
% 132.15/132.56 (122524) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 132.15/132.56 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 132.15/132.56 (122525) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 132.15/132.56 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 132.15/132.56 (122526) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 132.15/132.56 (122527) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 132.15/132.56 midp( X, Y, Z ) }.
% 132.15/132.56 (122528) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 132.15/132.56 (122529) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 132.15/132.56 (122530) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 132.15/132.56 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 132.15/132.56 (122531) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para
% 132.15/132.56 ( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.56 (122532) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp
% 132.15/132.56 ( X, Y, Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.56 (122533) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 132.15/132.56 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 132.15/132.56 (122534) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 132.15/132.56 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 132.15/132.56 (122535) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 132.15/132.56 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 132.15/132.56 (122536) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y,
% 132.15/132.56 Z, Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 132.15/132.56 (122537) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y,
% 132.15/132.56 Z, Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 132.15/132.56 (122538) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z,
% 132.15/132.56 T, Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 132.15/132.56 (122539) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z,
% 132.15/132.56 T, Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 132.15/132.56 (122540) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z,
% 132.15/132.56 T, Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 132.15/132.56 (122541) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z,
% 132.15/132.56 T, Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 132.15/132.56 (122542) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 132.15/132.56 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 132.15/132.56 (122543) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 132.15/132.56 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 132.15/132.56 (122544) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll
% 132.15/132.56 ( X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 132.15/132.56 (122545) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll
% 132.15/132.56 ( X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y
% 132.15/132.56 , Z, T ) ) }.
% 132.15/132.56 (122546) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 132.15/132.56 midp( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 132.15/132.56 (122547) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 132.15/132.56 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 132.15/132.56 (122548) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 132.15/132.56 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 132.15/132.56 (122549) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 132.15/132.56 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 132.15/132.56 (122550) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 132.15/132.56 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 132.15/132.56 ) }.
% 132.15/132.56 (122551) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 132.15/132.56 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 132.15/132.56 }.
% 132.15/132.56 (122552) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 132.15/132.56 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 132.15/132.56 (122553) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 132.15/132.56 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 132.15/132.56 (122554) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 132.15/132.56 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 132.15/132.56 (122555) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 132.15/132.56 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 132.15/132.56 (122556) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 132.15/132.56 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 132.15/132.56 (122557) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 132.15/132.56 , alpha1( X, Y, Z ) }.
% 132.15/132.56 (122558) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 132.15/132.56 ), Z, X ) }.
% 132.15/132.56 (122559) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 132.15/132.56 , Z ), Z, X ) }.
% 132.15/132.56 (122560) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 132.15/132.56 alpha1( X, Y, Z ) }.
% 132.15/132.56 (122561) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 132.15/132.56 ), X, X, Y ) }.
% 132.15/132.56 (122562) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 132.15/132.56 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 132.15/132.56 ) ) }.
% 132.15/132.56 (122563) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 132.15/132.56 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 132.15/132.56 (122564) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 132.15/132.56 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 132.15/132.56 }.
% 132.15/132.56 (122565) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 132.15/132.56 (122566) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 132.15/132.56 }.
% 132.15/132.56 (122567) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 132.15/132.56 alpha2( X, Y, Z, T ) }.
% 132.15/132.56 (122568) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 132.15/132.56 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 132.15/132.56 (122569) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 132.15/132.56 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 132.15/132.56 (122570) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 132.15/132.56 coll( skol16( W, Y, Z ), Y, Z ) }.
% 132.15/132.56 (122571) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 132.15/132.56 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 132.15/132.56 (122572) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 132.15/132.56 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 132.15/132.56 (122573) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 132.15/132.56 , coll( X, Y, skol18( X, Y ) ) }.
% 132.15/132.56 (122574) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 132.15/132.56 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 132.15/132.56 (122575) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 132.15/132.56 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 132.15/132.56 }.
% 132.15/132.56 (122576) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 132.15/132.56 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 132.15/132.56 }.
% 132.15/132.56 (122577) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol20 ) }.
% 132.15/132.56 (122578) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol26, skol27 ) }.
% 132.15/132.56 (122579) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol25, skol22 ) }.
% 132.15/132.56 (122580) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol22, skol28, skol27 ) }.
% 132.15/132.56 (122581) {G0,W4,D2,L1,V0,M1} { midp( skol29, skol20, skol22 ) }.
% 132.15/132.56 (122582) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol29, skol27 ) }.
% 132.15/132.56 (122583) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol20, skol22 ) }.
% 132.15/132.56 (122584) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol25, skol25, skol30,
% 132.15/132.56 skol30, skol25, skol25, skol20 ) }.
% 132.15/132.56 (122585) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol30, skol23 ) }.
% 132.15/132.56 (122586) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol23, skol31 )
% 132.15/132.56 }.
% 132.15/132.56 (122587) {G0,W5,D2,L1,V0,M1} { perp( skol27, skol23, skol23, skol24 ) }.
% 132.15/132.56 (122588) {G0,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20, skol22 )
% 132.15/132.56 }.
% 132.15/132.56
% 132.15/132.56
% 132.15/132.56 Total Proof:
% 132.15/132.56
% 132.15/132.56 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 132.15/132.56 }.
% 132.15/132.56 parent0: (122460) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 132.15/132.56 }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 132.15/132.56 }.
% 132.15/132.56 parent0: (122461) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 132.15/132.56 }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 132.15/132.56 Z ), coll( Y, Z, X ) }.
% 132.15/132.56 parent0: (122462) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T,
% 132.15/132.56 Z ), coll( Y, Z, X ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 132.15/132.56 , T, Z ) }.
% 132.15/132.56 parent0: (122463) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y
% 132.15/132.56 , T, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 132.15/132.56 , X, Y ) }.
% 132.15/132.56 parent0: (122464) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T
% 132.15/132.56 , X, Y ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 132.15/132.56 , T, Z ) }.
% 132.15/132.56 parent0: (122466) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y
% 132.15/132.56 , T, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 132.15/132.56 , X, Y ) }.
% 132.15/132.56 parent0: (122467) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T
% 132.15/132.56 , X, Y ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 132.15/132.56 W, Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.56 parent0: (122468) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U,
% 132.15/132.56 W, Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 W := W
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 132.15/132.56 W, Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.56 parent0: (122469) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U,
% 132.15/132.56 W, Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 W := W
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 132.15/132.56 ) }.
% 132.15/132.56 parent0: (122470) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 132.15/132.56 }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 132.15/132.56 , X, T, Z ), circle( T, X, Y, Z ) }.
% 132.15/132.56 parent0: (122471) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T,
% 132.15/132.56 X, T, Z ), circle( T, X, Y, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 132.15/132.56 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 parent0: (122472) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U,
% 132.15/132.56 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 3 ==> 3
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 132.15/132.56 X, Y, T, Z ) }.
% 132.15/132.56 parent0: (122473) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.56 , Y, T, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 132.15/132.56 X, Z, Y, T ) }.
% 132.15/132.56 parent0: (122474) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.56 , Z, Y, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 132.15/132.56 Y, X, Z, T ) }.
% 132.15/132.56 parent0: (122475) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 132.15/132.56 , X, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 132.15/132.56 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 parent0: (122476) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic
% 132.15/132.56 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 132.15/132.56 , T, Z ) }.
% 132.15/132.56 parent0: (122482) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y
% 132.15/132.56 , T, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.56 , X, Y ) }.
% 132.15/132.56 parent0: (122483) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.56 , X, Y ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 132.15/132.56 , W, Z, T ), cong( X, Y, Z, T ) }.
% 132.15/132.56 parent0: (122484) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U,
% 132.15/132.56 W, Z, T ), cong( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 W := W
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 132.15/132.56 , Y, U, W, Z, T, U, W ) }.
% 132.15/132.56 parent0: (122499) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X
% 132.15/132.56 , Y, U, W, Z, T, U, W ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 W := W
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 132.15/132.56 ( Z, X, Z, Y, T, X, T, Y ) }.
% 132.15/132.56 parent0: (122500) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle(
% 132.15/132.56 Z, X, Z, Y, T, X, T, Y ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 132.15/132.56 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 parent0: (122502) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 132.15/132.56 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 132.15/132.56 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 132.15/132.56 ), cong( X, Y, Z, T ) }.
% 132.15/132.56 parent0: (122503) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic
% 132.15/132.56 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 132.15/132.56 ), cong( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 W := W
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 3 ==> 3
% 132.15/132.56 4 ==> 4
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U
% 132.15/132.56 , Y ), para( Z, T, X, Y ) }.
% 132.15/132.56 parent0: (122504) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U,
% 132.15/132.56 Y ), para( Z, T, X, Y ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (49) {G0,W19,D2,L3,V5,M3} I { ! circle( Y, X, T, U ), !
% 132.15/132.56 eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 132.15/132.56 parent0: (122509) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle
% 132.15/132.56 ( X, Z, X, T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 132.15/132.56 , X, T ), cong( X, Z, Y, Z ) }.
% 132.15/132.56 parent0: (122512) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z,
% 132.15/132.56 X, T ), cong( X, Z, Y, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T
% 132.15/132.56 , X, Y ), cong( Z, X, Z, Y ) }.
% 132.15/132.56 parent0: (122515) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T,
% 132.15/132.56 X, Y ), cong( Z, X, Z, Y ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 132.15/132.56 , T, Y, T ), perp( X, Y, Z, T ) }.
% 132.15/132.56 parent0: (122516) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X,
% 132.15/132.56 T, Y, T ), perp( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 132.15/132.56 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 132.15/132.56 parent0: (122517) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X,
% 132.15/132.56 Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 3 ==> 3
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 132.15/132.56 , T ), para( X, Z, Y, T ) }.
% 132.15/132.56 parent0: (122523) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z,
% 132.15/132.56 T ), para( X, Z, Y, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 132.15/132.56 , Y, Z ), midp( X, Y, Z ) }.
% 132.15/132.56 parent0: (122527) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X,
% 132.15/132.56 Y, Z ), midp( X, Y, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 132.15/132.56 , Z ) }.
% 132.15/132.56 parent0: (122528) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X,
% 132.15/132.56 Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 132.15/132.56 ) }.
% 132.15/132.56 parent0: (122529) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 132.15/132.56 }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 132.15/132.56 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 132.15/132.56 ) }.
% 132.15/132.56 parent0: (122549) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T,
% 132.15/132.56 U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 132.15/132.56 }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 U := U
% 132.15/132.56 W := W
% 132.15/132.56 V0 := V0
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 3 ==> 3
% 132.15/132.56 4 ==> 4
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 132.15/132.56 }.
% 132.15/132.56 parent0: (122577) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol20 ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (117) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol20, skol26,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 parent0: (122578) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol26,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol25, skol22 )
% 132.15/132.56 }.
% 132.15/132.56 parent0: (122579) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol25, skol22 ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol22, skol28,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 parent0: (122580) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol22, skol28,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol29, skol20, skol22 )
% 132.15/132.56 }.
% 132.15/132.56 parent0: (122581) {G0,W4,D2,L1,V0,M1} { midp( skol29, skol20, skol22 ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol29,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 parent0: (122582) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol29,
% 132.15/132.56 skol27 ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (122) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol22 )
% 132.15/132.56 }.
% 132.15/132.56 parent0: (122583) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol20, skol22 ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (126) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol23, skol23,
% 132.15/132.56 skol24 ) }.
% 132.15/132.56 parent0: (122587) {G0,W5,D2,L1,V0,M1} { perp( skol27, skol23, skol23,
% 132.15/132.56 skol24 ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (127) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol24, skol20,
% 132.15/132.56 skol22 ) }.
% 132.15/132.56 parent0: (122588) {G0,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20,
% 132.15/132.56 skol22 ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 factor: (123458) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 132.15/132.56 , X, T ), cyclic( Y, Z, T, T ) }.
% 132.15/132.56 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 132.15/132.56 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := Y
% 132.15/132.56 Y := Z
% 132.15/132.56 Z := T
% 132.15/132.56 T := T
% 132.15/132.56 U := X
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (133) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 132.15/132.56 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 132.15/132.56 parent0: (123458) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X,
% 132.15/132.56 Y, X, T ), cyclic( Y, Z, T, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 factor: (123460) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 132.15/132.56 , Z, Z ) }.
% 132.15/132.56 parent0[0, 1]: (133) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 132.15/132.56 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := Z
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (134) {G2,W10,D2,L2,V3,M2} F(133) { ! cong( X, Y, X, Z ),
% 132.15/132.56 cyclic( Y, Z, Z, Z ) }.
% 132.15/132.56 parent0: (123460) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y,
% 132.15/132.56 Z, Z, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 factor: (123461) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 132.15/132.56 , Z, T, T ) }.
% 132.15/132.56 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 132.15/132.56 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := Y
% 132.15/132.56 Y := Z
% 132.15/132.56 Z := T
% 132.15/132.56 T := T
% 132.15/132.56 U := X
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (135) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 132.15/132.56 cyclic( Y, Z, T, T ) }.
% 132.15/132.56 parent0: (123461) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 132.15/132.56 , Z, T, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 T := T
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 factor: (123462) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z,
% 132.15/132.56 Y, Y ) }.
% 132.15/132.56 parent0[0, 1]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong(
% 132.15/132.56 X, T, Y, T ), perp( X, Y, Z, T ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Z
% 132.15/132.56 Z := Y
% 132.15/132.56 T := Y
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (140) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp
% 132.15/132.56 ( X, Z, Y, Y ) }.
% 132.15/132.56 parent0: (123462) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z
% 132.15/132.56 , Y, Y ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 factor: (123463) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 132.15/132.56 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 132.15/132.56 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 132.15/132.56 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Y
% 132.15/132.56 T := Z
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 subsumption: (141) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 132.15/132.56 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 132.15/132.56 parent0: (123463) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 132.15/132.56 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 132.15/132.56 substitution0:
% 132.15/132.56 X := X
% 132.15/132.56 Y := Y
% 132.15/132.56 Z := Z
% 132.15/132.56 end
% 132.15/132.56 permutation0:
% 132.15/132.56 0 ==> 0
% 132.15/132.56 1 ==> 1
% 132.15/132.56 2 ==> 2
% 132.15/132.56 end
% 132.15/132.56
% 132.15/132.56 factor: (123464) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 132.15/132.56 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 132.15/132.56 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 132.15/132.56 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 132.15/132.57 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := Z
% 132.15/132.57 W := X
% 132.15/132.57 V0 := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (150) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 132.15/132.57 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 132.15/132.57 parent0: (123464) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y,
% 132.15/132.57 Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 2
% 132.15/132.57 3 ==> 3
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123467) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol22, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 132.15/132.57 }.
% 132.15/132.57 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol22 )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol30
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol22
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (165) {G1,W4,D2,L1,V0,M1} R(0,122) { coll( skol30, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0: (123467) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol22, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123468) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol30, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 132.15/132.57 }.
% 132.15/132.57 parent1[0]: (165) {G1,W4,D2,L1,V0,M1} R(0,122) { coll( skol30, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol30
% 132.15/132.57 Y := skol22
% 132.15/132.57 Z := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (168) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol22, skol30,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0: (123468) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol30, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123469) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol30, skol22 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 132.15/132.57 }.
% 132.15/132.57 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol22 )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol30
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol22
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (171) {G1,W4,D2,L1,V0,M1} R(1,122) { coll( skol20, skol30,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 parent0: (123469) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol30, skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123473) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T
% 132.15/132.57 , X ), ! coll( Z, T, Y ) }.
% 132.15/132.57 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 132.15/132.57 }.
% 132.15/132.57 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 132.15/132.57 ), coll( Y, Z, X ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Y
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 132.15/132.57 ( X, Y, T ), coll( Z, X, T ) }.
% 132.15/132.57 parent0: (123473) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X
% 132.15/132.57 ), ! coll( Z, T, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 2
% 132.15/132.57 1 ==> 0
% 132.15/132.57 2 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 factor: (123475) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0, 1]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 132.15/132.57 coll( X, Y, T ), coll( Z, X, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z
% 132.15/132.57 , X, Z ) }.
% 132.15/132.57 parent0: (123475) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123476) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X
% 132.15/132.57 , Y, T, Z ) }.
% 132.15/132.57 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := T
% 132.15/132.57 T := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (213) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 132.15/132.57 ( Z, T, Y, X ) }.
% 132.15/132.57 parent0: (123476) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X, Y
% 132.15/132.57 , T, Z ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123478) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z
% 132.15/132.57 , T, X, Y ) }.
% 132.15/132.57 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (214) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 132.15/132.57 ( Z, T, Y, X ) }.
% 132.15/132.57 parent0: (123478) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T
% 132.15/132.57 , X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123479) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0]: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 132.15/132.57 X, Z ) }.
% 132.15/132.57 parent1[0]: (171) {G1,W4,D2,L1,V0,M1} R(1,122) { coll( skol20, skol30,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol30
% 132.15/132.57 Z := skol22
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (238) {G3,W4,D2,L1,V0,M1} R(199,171) { coll( skol22, skol20,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 parent0: (123479) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123480) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T
% 132.15/132.57 , X ), ! coll( Z, T, Y ) }.
% 132.15/132.57 parent0[0]: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 132.15/132.57 X, Z ) }.
% 132.15/132.57 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 132.15/132.57 ), coll( Y, Z, X ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Y
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (241) {G3,W12,D2,L3,V4,M3} R(199,2) { coll( X, Y, X ), ! coll
% 132.15/132.57 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 132.15/132.57 parent0: (123480) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X
% 132.15/132.57 ), ! coll( Z, T, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := X
% 132.15/132.57 T := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123482) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0]: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 132.15/132.57 X, Z ) }.
% 132.15/132.57 parent1[0]: (168) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol22, skol30,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol22
% 132.15/132.57 Y := skol30
% 132.15/132.57 Z := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (243) {G3,W4,D2,L1,V0,M1} R(199,168) { coll( skol20, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0: (123482) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 factor: (123483) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 132.15/132.57 }.
% 132.15/132.57 parent0[1, 2]: (241) {G3,W12,D2,L3,V4,M3} R(199,2) { coll( X, Y, X ), !
% 132.15/132.57 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (254) {G4,W8,D2,L2,V3,M2} F(241) { coll( X, Y, X ), ! coll( X
% 132.15/132.57 , Z, Y ) }.
% 132.15/132.57 parent0: (123483) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123484) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol27,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (117) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol20, skol26,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol25
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol26
% 132.15/132.57 T := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (255) {G1,W5,D2,L1,V0,M1} R(6,117) { perp( skol25, skol20,
% 132.15/132.57 skol27, skol26 ) }.
% 132.15/132.57 parent0: (123484) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol27,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123485) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol27,
% 132.15/132.57 skol29 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol29,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol22
% 132.15/132.57 Z := skol29
% 132.15/132.57 T := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (257) {G1,W5,D2,L1,V0,M1} R(6,121) { perp( skol20, skol22,
% 132.15/132.57 skol27, skol29 ) }.
% 132.15/132.57 parent0: (123485) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol27,
% 132.15/132.57 skol29 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123486) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X
% 132.15/132.57 , Y, T, Z ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := T
% 132.15/132.57 T := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 132.15/132.57 ( Z, T, Y, X ) }.
% 132.15/132.57 parent0: (123486) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y
% 132.15/132.57 , T, Z ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123488) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z
% 132.15/132.57 , T, X, Y ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (267) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 132.15/132.57 ( Z, T, Y, X ) }.
% 132.15/132.57 parent0: (123488) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T
% 132.15/132.57 , X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123489) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol25,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[0]: (117) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol20, skol26,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol25
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol26
% 132.15/132.57 T := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (268) {G1,W5,D2,L1,V0,M1} R(7,117) { perp( skol26, skol27,
% 132.15/132.57 skol25, skol20 ) }.
% 132.15/132.57 parent0: (123489) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol25,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123490) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol25,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol22, skol28,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol25
% 132.15/132.57 Y := skol22
% 132.15/132.57 Z := skol28
% 132.15/132.57 T := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (269) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol28, skol27,
% 132.15/132.57 skol25, skol22 ) }.
% 132.15/132.57 parent0: (123490) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol25,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123491) {G1,W5,D2,L1,V0,M1} { perp( skol29, skol27, skol20,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol29,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol22
% 132.15/132.57 Z := skol29
% 132.15/132.57 T := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (270) {G1,W5,D2,L1,V0,M1} R(7,121) { perp( skol29, skol27,
% 132.15/132.57 skol20, skol22 ) }.
% 132.15/132.57 parent0: (123491) {G1,W5,D2,L1,V0,M1} { perp( skol29, skol27, skol20,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123492) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol27,
% 132.15/132.57 skol23 ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[0]: (126) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol23, skol23,
% 132.15/132.57 skol24 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol27
% 132.15/132.57 Y := skol23
% 132.15/132.57 Z := skol23
% 132.15/132.57 T := skol24
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (271) {G1,W5,D2,L1,V0,M1} R(7,126) { perp( skol23, skol24,
% 132.15/132.57 skol27, skol23 ) }.
% 132.15/132.57 parent0: (123492) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol27,
% 132.15/132.57 skol23 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123493) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 132.15/132.57 }.
% 132.15/132.57 parent1[0]: (238) {G3,W4,D2,L1,V0,M1} R(199,171) { coll( skol22, skol20,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol22
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol22
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (275) {G4,W4,D2,L1,V0,M1} R(238,0) { coll( skol22, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0: (123493) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123494) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X
% 132.15/132.57 , Y, U, W ), ! perp( U, W, Z, T ) }.
% 132.15/132.57 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 U := U
% 132.15/132.57 W := W
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (293) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 132.15/132.57 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 132.15/132.57 parent0: (123494) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y
% 132.15/132.57 , U, W ), ! perp( U, W, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := U
% 132.15/132.57 T := W
% 132.15/132.57 U := Z
% 132.15/132.57 W := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 2
% 132.15/132.57 1 ==> 0
% 132.15/132.57 2 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123496) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol24, X, Y )
% 132.15/132.57 , ! perp( X, Y, skol20, skol22 ) }.
% 132.15/132.57 parent0[0]: (127) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol24, skol20,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := skol23
% 132.15/132.57 Y := skol24
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := skol22
% 132.15/132.57 U := X
% 132.15/132.57 W := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (301) {G1,W10,D2,L2,V2,M2} R(8,127) { ! perp( skol23, skol24,
% 132.15/132.57 X, Y ), ! perp( X, Y, skol20, skol22 ) }.
% 132.15/132.57 parent0: (123496) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol24, X, Y ), !
% 132.15/132.57 perp( X, Y, skol20, skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123503) {G1,W20,D2,L4,V8,M4} { ! perp( X, Y, Z, T ), para( X
% 132.15/132.57 , Y, U, W ), ! para( Z, T, V0, V1 ), ! perp( V0, V1, U, W ) }.
% 132.15/132.57 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.57 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := U
% 132.15/132.57 T := W
% 132.15/132.57 U := Z
% 132.15/132.57 W := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := U
% 132.15/132.57 T := W
% 132.15/132.57 U := V0
% 132.15/132.57 W := V1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (315) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), !
% 132.15/132.57 perp( Z, T, U, W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 132.15/132.57 parent0: (123503) {G1,W20,D2,L4,V8,M4} { ! perp( X, Y, Z, T ), para( X, Y
% 132.15/132.57 , U, W ), ! para( Z, T, V0, V1 ), ! perp( V0, V1, U, W ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := V0
% 132.15/132.57 Y := V1
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := U
% 132.15/132.57 W := W
% 132.15/132.57 V0 := Z
% 132.15/132.57 V1 := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 2
% 132.15/132.57 1 ==> 3
% 132.15/132.57 2 ==> 0
% 132.15/132.57 3 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123506) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol25 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 132.15/132.57 }.
% 132.15/132.57 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol26
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (335) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 parent0: (123506) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123507) {G1,W4,D2,L1,V0,M1} { midp( skol29, skol22, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 132.15/132.57 }.
% 132.15/132.57 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol29, skol20, skol22 )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol22
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol29
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (337) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol29, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0: (123507) {G1,W4,D2,L1,V0,M1} { midp( skol29, skol22, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123509) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 132.15/132.57 ( X, Z, Y, T ) }.
% 132.15/132.57 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.57 , Y, T, Z ) }.
% 132.15/132.57 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.57 , Z, Y, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := Y
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (361) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 132.15/132.57 cyclic( X, Z, T, Y ) }.
% 132.15/132.57 parent0: (123509) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 132.15/132.57 , Z, Y, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := Y
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123510) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 132.15/132.57 ( X, Z, Y, T ) }.
% 132.15/132.57 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 132.15/132.57 , X, Z, T ) }.
% 132.15/132.57 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.57 , Z, Y, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := Y
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (371) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 132.15/132.57 cyclic( Y, Z, X, T ) }.
% 132.15/132.57 parent0: (123510) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 132.15/132.57 , Z, Y, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123512) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 132.15/132.57 ( Y, X, Z, T ) }.
% 132.15/132.57 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.57 , Z, Y, T ) }.
% 132.15/132.57 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 132.15/132.57 , X, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (372) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 132.15/132.57 cyclic( Y, Z, X, T ) }.
% 132.15/132.57 parent0: (123512) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 132.15/132.57 , X, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123514) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 132.15/132.57 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 132.15/132.57 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 132.15/132.57 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 132.15/132.57 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.57 , Y, T, Z ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := T
% 132.15/132.57 T := U
% 132.15/132.57 U := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := U
% 132.15/132.57 T := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (395) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 132.15/132.57 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 132.15/132.57 parent0: (123514) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 132.15/132.57 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 U := U
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 2
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123516) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol20, X, Y )
% 132.15/132.57 , para( skol26, skol27, X, Y ) }.
% 132.15/132.57 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (268) {G1,W5,D2,L1,V0,M1} R(7,117) { perp( skol26, skol27,
% 132.15/132.57 skol25, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol27
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := skol25
% 132.15/132.57 W := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (411) {G2,W10,D2,L2,V2,M2} R(268,8) { ! perp( skol25, skol20,
% 132.15/132.57 X, Y ), para( skol26, skol27, X, Y ) }.
% 132.15/132.57 parent0: (123516) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol20, X, Y ),
% 132.15/132.57 para( skol26, skol27, X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123518) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (268) {G1,W5,D2,L1,V0,M1} R(7,117) { perp( skol26, skol27,
% 132.15/132.57 skol25, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol27
% 132.15/132.57 Z := skol25
% 132.15/132.57 T := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (413) {G2,W5,D2,L1,V0,M1} R(268,6) { perp( skol26, skol27,
% 132.15/132.57 skol20, skol25 ) }.
% 132.15/132.57 parent0: (123518) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123519) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol26,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[0]: (413) {G2,W5,D2,L1,V0,M1} R(268,6) { perp( skol26, skol27,
% 132.15/132.57 skol20, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol27
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (417) {G3,W5,D2,L1,V0,M1} R(413,7) { perp( skol20, skol25,
% 132.15/132.57 skol26, skol27 ) }.
% 132.15/132.57 parent0: (123519) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol26,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123520) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol20, skol25 )
% 132.15/132.57 , perp( X, Y, skol26, skol27 ) }.
% 132.15/132.57 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (417) {G3,W5,D2,L1,V0,M1} R(413,7) { perp( skol20, skol25,
% 132.15/132.57 skol26, skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := skol26
% 132.15/132.57 T := skol27
% 132.15/132.57 U := skol20
% 132.15/132.57 W := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (418) {G4,W10,D2,L2,V2,M2} R(417,9) { ! para( X, Y, skol20,
% 132.15/132.57 skol25 ), perp( X, Y, skol26, skol27 ) }.
% 132.15/132.57 parent0: (123520) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol20, skol25 ),
% 132.15/132.57 perp( X, Y, skol26, skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123521) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol27,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (417) {G3,W5,D2,L1,V0,M1} R(413,7) { perp( skol20, skol25,
% 132.15/132.57 skol26, skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol26
% 132.15/132.57 T := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (421) {G4,W5,D2,L1,V0,M1} R(417,6) { perp( skol20, skol25,
% 132.15/132.57 skol27, skol26 ) }.
% 132.15/132.57 parent0: (123521) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol27,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123522) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol20, skol25 )
% 132.15/132.57 , perp( X, Y, skol27, skol26 ) }.
% 132.15/132.57 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (421) {G4,W5,D2,L1,V0,M1} R(417,6) { perp( skol20, skol25,
% 132.15/132.57 skol27, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol26
% 132.15/132.57 U := skol20
% 132.15/132.57 W := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (422) {G5,W10,D2,L2,V2,M2} R(421,9) { ! para( X, Y, skol20,
% 132.15/132.57 skol25 ), perp( X, Y, skol27, skol26 ) }.
% 132.15/132.57 parent0: (123522) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol20, skol25 ),
% 132.15/132.57 perp( X, Y, skol27, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123523) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[0]: (421) {G4,W5,D2,L1,V0,M1} R(417,6) { perp( skol20, skol25,
% 132.15/132.57 skol27, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol26
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (425) {G5,W5,D2,L1,V0,M1} R(421,7) { perp( skol27, skol26,
% 132.15/132.57 skol20, skol25 ) }.
% 132.15/132.57 parent0: (123523) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123524) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol26 )
% 132.15/132.57 , perp( X, Y, skol20, skol25 ) }.
% 132.15/132.57 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (425) {G5,W5,D2,L1,V0,M1} R(421,7) { perp( skol27, skol26,
% 132.15/132.57 skol20, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := skol25
% 132.15/132.57 U := skol27
% 132.15/132.57 W := skol26
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (428) {G6,W10,D2,L2,V2,M2} R(425,9) { ! para( X, Y, skol27,
% 132.15/132.57 skol26 ), perp( X, Y, skol20, skol25 ) }.
% 132.15/132.57 parent0: (123524) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol26 ),
% 132.15/132.57 perp( X, Y, skol20, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123525) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol25,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (425) {G5,W5,D2,L1,V0,M1} R(421,7) { perp( skol27, skol26,
% 132.15/132.57 skol20, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol27
% 132.15/132.57 Y := skol26
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (431) {G6,W5,D2,L1,V0,M1} R(425,6) { perp( skol27, skol26,
% 132.15/132.57 skol25, skol20 ) }.
% 132.15/132.57 parent0: (123525) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol25,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123526) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol26 )
% 132.15/132.57 , perp( X, Y, skol25, skol20 ) }.
% 132.15/132.57 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (431) {G6,W5,D2,L1,V0,M1} R(425,6) { perp( skol27, skol26,
% 132.15/132.57 skol25, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := skol25
% 132.15/132.57 T := skol20
% 132.15/132.57 U := skol27
% 132.15/132.57 W := skol26
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (432) {G7,W10,D2,L2,V2,M2} R(431,9) { ! para( X, Y, skol27,
% 132.15/132.57 skol26 ), perp( X, Y, skol25, skol20 ) }.
% 132.15/132.57 parent0: (123526) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol26 ),
% 132.15/132.57 perp( X, Y, skol25, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123527) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol22,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (269) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol28, skol27,
% 132.15/132.57 skol25, skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol28
% 132.15/132.57 Y := skol27
% 132.15/132.57 Z := skol25
% 132.15/132.57 T := skol22
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (438) {G2,W5,D2,L1,V0,M1} R(269,6) { perp( skol28, skol27,
% 132.15/132.57 skol22, skol25 ) }.
% 132.15/132.57 parent0: (123527) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol22,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123528) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol25, skol28,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[0]: (438) {G2,W5,D2,L1,V0,M1} R(269,6) { perp( skol28, skol27,
% 132.15/132.57 skol22, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol28
% 132.15/132.57 Y := skol27
% 132.15/132.57 Z := skol22
% 132.15/132.57 T := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (442) {G3,W5,D2,L1,V0,M1} R(438,7) { perp( skol22, skol25,
% 132.15/132.57 skol28, skol27 ) }.
% 132.15/132.57 parent0: (123528) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol25, skol28,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123529) {G1,W10,D2,L2,V2,M2} { ! perp( skol28, skol27, X, Y )
% 132.15/132.57 , para( skol22, skol25, X, Y ) }.
% 132.15/132.57 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (442) {G3,W5,D2,L1,V0,M1} R(438,7) { perp( skol22, skol25,
% 132.15/132.57 skol28, skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol22
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := skol28
% 132.15/132.57 W := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (447) {G4,W10,D2,L2,V2,M2} R(442,8) { ! perp( skol28, skol27,
% 132.15/132.57 X, Y ), para( skol22, skol25, X, Y ) }.
% 132.15/132.57 parent0: (123529) {G1,W10,D2,L2,V2,M2} { ! perp( skol28, skol27, X, Y ),
% 132.15/132.57 para( skol22, skol25, X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123531) {G1,W5,D2,L1,V0,M1} { perp( skol29, skol27, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (270) {G1,W5,D2,L1,V0,M1} R(7,121) { perp( skol29, skol27,
% 132.15/132.57 skol20, skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol29
% 132.15/132.57 Y := skol27
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := skol22
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (467) {G2,W5,D2,L1,V0,M1} R(270,6) { perp( skol29, skol27,
% 132.15/132.57 skol22, skol20 ) }.
% 132.15/132.57 parent0: (123531) {G1,W5,D2,L1,V0,M1} { perp( skol29, skol27, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123532) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol29,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[0]: (467) {G2,W5,D2,L1,V0,M1} R(270,6) { perp( skol29, skol27,
% 132.15/132.57 skol22, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol29
% 132.15/132.57 Y := skol27
% 132.15/132.57 Z := skol22
% 132.15/132.57 T := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (471) {G3,W5,D2,L1,V0,M1} R(467,7) { perp( skol22, skol20,
% 132.15/132.57 skol29, skol27 ) }.
% 132.15/132.57 parent0: (123532) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol29,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123533) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol27,
% 132.15/132.57 skol29 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (471) {G3,W5,D2,L1,V0,M1} R(467,7) { perp( skol22, skol20,
% 132.15/132.57 skol29, skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol22
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol29
% 132.15/132.57 T := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (475) {G4,W5,D2,L1,V0,M1} R(471,6) { perp( skol22, skol20,
% 132.15/132.57 skol27, skol29 ) }.
% 132.15/132.57 parent0: (123533) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol27,
% 132.15/132.57 skol29 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123534) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol22, skol20 )
% 132.15/132.57 , perp( X, Y, skol27, skol29 ) }.
% 132.15/132.57 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (475) {G4,W5,D2,L1,V0,M1} R(471,6) { perp( skol22, skol20,
% 132.15/132.57 skol27, skol29 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol29
% 132.15/132.57 U := skol22
% 132.15/132.57 W := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (476) {G5,W10,D2,L2,V2,M2} R(475,9) { ! para( X, Y, skol22,
% 132.15/132.57 skol20 ), perp( X, Y, skol27, skol29 ) }.
% 132.15/132.57 parent0: (123534) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol22, skol20 ),
% 132.15/132.57 perp( X, Y, skol27, skol29 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123535) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[0]: (475) {G4,W5,D2,L1,V0,M1} R(471,6) { perp( skol22, skol20,
% 132.15/132.57 skol27, skol29 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol22
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol29
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (479) {G5,W5,D2,L1,V0,M1} R(475,7) { perp( skol27, skol29,
% 132.15/132.57 skol22, skol20 ) }.
% 132.15/132.57 parent0: (123535) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123536) {G1,W10,D2,L2,V2,M2} { ! perp( skol22, skol20, X, Y )
% 132.15/132.57 , para( skol27, skol29, X, Y ) }.
% 132.15/132.57 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (479) {G5,W5,D2,L1,V0,M1} R(475,7) { perp( skol27, skol29,
% 132.15/132.57 skol22, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol27
% 132.15/132.57 Y := skol29
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := skol22
% 132.15/132.57 W := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (493) {G6,W10,D2,L2,V2,M2} R(479,8) { ! perp( skol22, skol20,
% 132.15/132.57 X, Y ), para( skol27, skol29, X, Y ) }.
% 132.15/132.57 parent0: (123536) {G1,W10,D2,L2,V2,M2} { ! perp( skol22, skol20, X, Y ),
% 132.15/132.57 para( skol27, skol29, X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123538) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol20,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (479) {G5,W5,D2,L1,V0,M1} R(475,7) { perp( skol27, skol29,
% 132.15/132.57 skol22, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol27
% 132.15/132.57 Y := skol29
% 132.15/132.57 Z := skol22
% 132.15/132.57 T := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (495) {G6,W5,D2,L1,V0,M1} R(479,6) { perp( skol27, skol29,
% 132.15/132.57 skol20, skol22 ) }.
% 132.15/132.57 parent0: (123538) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol20,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123539) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol29 )
% 132.15/132.57 , perp( X, Y, skol20, skol22 ) }.
% 132.15/132.57 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (495) {G6,W5,D2,L1,V0,M1} R(479,6) { perp( skol27, skol29,
% 132.15/132.57 skol20, skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := skol22
% 132.15/132.57 U := skol27
% 132.15/132.57 W := skol29
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (496) {G7,W10,D2,L2,V2,M2} R(495,9) { ! para( X, Y, skol27,
% 132.15/132.57 skol29 ), perp( X, Y, skol20, skol22 ) }.
% 132.15/132.57 parent0: (123539) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol29 ),
% 132.15/132.57 perp( X, Y, skol20, skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123540) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol23,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.57 T, Z ) }.
% 132.15/132.57 parent1[0]: (271) {G1,W5,D2,L1,V0,M1} R(7,126) { perp( skol23, skol24,
% 132.15/132.57 skol27, skol23 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol23
% 132.15/132.57 Y := skol24
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol23
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (502) {G2,W5,D2,L1,V0,M1} R(271,6) { perp( skol23, skol24,
% 132.15/132.57 skol23, skol27 ) }.
% 132.15/132.57 parent0: (123540) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol23,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123541) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol27, X, Y )
% 132.15/132.57 , para( skol23, skol24, X, Y ) }.
% 132.15/132.57 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (502) {G2,W5,D2,L1,V0,M1} R(271,6) { perp( skol23, skol24,
% 132.15/132.57 skol23, skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol23
% 132.15/132.57 Y := skol24
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := skol23
% 132.15/132.57 W := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (504) {G3,W10,D2,L2,V2,M2} R(502,8) { ! perp( skol23, skol27,
% 132.15/132.57 X, Y ), para( skol23, skol24, X, Y ) }.
% 132.15/132.57 parent0: (123541) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol27, X, Y ),
% 132.15/132.57 para( skol23, skol24, X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123544) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z
% 132.15/132.57 , T, X, Y ) }.
% 132.15/132.57 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 132.15/132.57 , T, Z ) }.
% 132.15/132.57 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.57 , X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (531) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 132.15/132.57 cong( Z, T, Y, X ) }.
% 132.15/132.57 parent0: (123544) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z, T
% 132.15/132.57 , X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123545) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol25, skol20 )
% 132.15/132.57 , perp( X, Y, skol27, skol26 ) }.
% 132.15/132.57 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (255) {G1,W5,D2,L1,V0,M1} R(6,117) { perp( skol25, skol20,
% 132.15/132.57 skol27, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol26
% 132.15/132.57 U := skol25
% 132.15/132.57 W := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (540) {G2,W10,D2,L2,V2,M2} R(255,9) { ! para( X, Y, skol25,
% 132.15/132.57 skol20 ), perp( X, Y, skol27, skol26 ) }.
% 132.15/132.57 parent0: (123545) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol25, skol20 ),
% 132.15/132.57 perp( X, Y, skol27, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123547) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol25, skol20 )
% 132.15/132.57 , para( X, Y, skol27, skol26 ) }.
% 132.15/132.57 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (255) {G1,W5,D2,L1,V0,M1} R(6,117) { perp( skol25, skol20,
% 132.15/132.57 skol27, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol26
% 132.15/132.57 U := skol25
% 132.15/132.57 W := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (542) {G2,W10,D2,L2,V2,M2} R(255,8) { ! perp( X, Y, skol25,
% 132.15/132.57 skol20 ), para( X, Y, skol27, skol26 ) }.
% 132.15/132.57 parent0: (123547) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol25, skol20 ),
% 132.15/132.57 para( X, Y, skol27, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123548) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol29, X, Y )
% 132.15/132.57 , para( skol20, skol22, X, Y ) }.
% 132.15/132.57 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 132.15/132.57 , Z, T ), para( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (257) {G1,W5,D2,L1,V0,M1} R(6,121) { perp( skol20, skol22,
% 132.15/132.57 skol27, skol29 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol22
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := skol27
% 132.15/132.57 W := skol29
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (547) {G2,W10,D2,L2,V2,M2} R(257,8) { ! perp( skol27, skol29,
% 132.15/132.57 X, Y ), para( skol20, skol22, X, Y ) }.
% 132.15/132.57 parent0: (123548) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol29, X, Y ),
% 132.15/132.57 para( skol20, skol22, X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123550) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X
% 132.15/132.57 , Y, U, W ), ! cong( Z, T, X, Y ) }.
% 132.15/132.57 parent0[0]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 132.15/132.57 W, Z, T ), cong( X, Y, Z, T ) }.
% 132.15/132.57 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.57 , X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := U
% 132.15/132.57 T := W
% 132.15/132.57 U := Z
% 132.15/132.57 W := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := T
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (553) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 132.15/132.57 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 132.15/132.57 parent0: (123550) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X, Y
% 132.15/132.57 , U, W ), ! cong( Z, T, X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := U
% 132.15/132.57 Y := W
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := Z
% 132.15/132.57 W := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 2
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123555) {G1,W20,D2,L4,V6,M4} { ! cong( X, Y, X, Z ), circle(
% 132.15/132.57 X, Y, Z, T ), ! cong( X, Y, U, W ), ! cong( U, W, X, T ) }.
% 132.15/132.57 parent0[1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T,
% 132.15/132.57 X, T, Z ), circle( T, X, Y, Z ) }.
% 132.15/132.57 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 132.15/132.57 W, Z, T ), cong( X, Y, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := T
% 132.15/132.57 T := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := X
% 132.15/132.57 T := T
% 132.15/132.57 U := U
% 132.15/132.57 W := W
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (562) {G1,W20,D2,L4,V6,M4} R(24,11) { ! cong( X, Y, Z, T ), !
% 132.15/132.57 cong( Z, T, X, U ), ! cong( X, Y, X, W ), circle( X, Y, W, U ) }.
% 132.15/132.57 parent0: (123555) {G1,W20,D2,L4,V6,M4} { ! cong( X, Y, X, Z ), circle( X,
% 132.15/132.57 Y, Z, T ), ! cong( X, Y, U, W ), ! cong( U, W, X, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := W
% 132.15/132.57 T := U
% 132.15/132.57 U := Z
% 132.15/132.57 W := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 2
% 132.15/132.57 1 ==> 3
% 132.15/132.57 2 ==> 0
% 132.15/132.57 3 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 factor: (123562) {G1,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Z
% 132.15/132.57 , X, T ), circle( X, Y, Z, T ) }.
% 132.15/132.57 parent0[0, 2]: (562) {G1,W20,D2,L4,V6,M4} R(24,11) { ! cong( X, Y, Z, T ),
% 132.15/132.57 ! cong( Z, T, X, U ), ! cong( X, Y, X, W ), circle( X, Y, W, U ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := X
% 132.15/132.57 T := Z
% 132.15/132.57 U := T
% 132.15/132.57 W := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (563) {G2,W15,D2,L3,V4,M3} F(562) { ! cong( X, Y, X, Z ), !
% 132.15/132.57 cong( X, Z, X, T ), circle( X, Y, Z, T ) }.
% 132.15/132.57 parent0: (123562) {G1,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X,
% 132.15/132.57 Z, X, T ), circle( X, Y, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 2
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 factor: (123565) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 132.15/132.57 Z, T ) }.
% 132.15/132.57 parent0[0, 2]: (553) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 132.15/132.57 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 U := Z
% 132.15/132.57 W := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (566) {G2,W10,D2,L2,V4,M2} F(553) { ! cong( X, Y, Z, T ), cong
% 132.15/132.57 ( Z, T, Z, T ) }.
% 132.15/132.57 parent0: (123565) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.57 , Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123567) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z,
% 132.15/132.57 Y ) }.
% 132.15/132.57 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 132.15/132.57 }.
% 132.15/132.57 parent1[0]: (254) {G4,W8,D2,L2,V3,M2} F(241) { coll( X, Y, X ), ! coll( X,
% 132.15/132.57 Z, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (571) {G5,W8,D2,L2,V3,M2} R(254,1) { ! coll( X, Y, Z ), coll(
% 132.15/132.57 Z, X, X ) }.
% 132.15/132.57 parent0: (123567) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123568) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Z, X,
% 132.15/132.57 Y ) }.
% 132.15/132.57 parent0[1]: (254) {G4,W8,D2,L2,V3,M2} F(241) { coll( X, Y, X ), ! coll( X,
% 132.15/132.57 Z, Y ) }.
% 132.15/132.57 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (572) {G5,W8,D2,L2,V3,M2} R(254,1) { coll( X, Y, X ), ! coll(
% 132.15/132.57 Z, X, Y ) }.
% 132.15/132.57 parent0: (123568) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Z, X, Y )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123569) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X,
% 132.15/132.57 Z ) }.
% 132.15/132.57 parent0[0]: (571) {G5,W8,D2,L2,V3,M2} R(254,1) { ! coll( X, Y, Z ), coll( Z
% 132.15/132.57 , X, X ) }.
% 132.15/132.57 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (576) {G6,W8,D2,L2,V3,M2} R(571,1) { coll( X, Y, Y ), ! coll(
% 132.15/132.57 Z, Y, X ) }.
% 132.15/132.57 parent0: (123569) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := X
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123570) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z,
% 132.15/132.57 Y ) }.
% 132.15/132.57 parent0[0]: (571) {G5,W8,D2,L2,V3,M2} R(254,1) { ! coll( X, Y, Z ), coll( Z
% 132.15/132.57 , X, X ) }.
% 132.15/132.57 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (577) {G6,W8,D2,L2,V3,M2} R(571,0) { coll( X, Y, Y ), ! coll(
% 132.15/132.57 Y, X, Z ) }.
% 132.15/132.57 parent0: (123570) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := X
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123572) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y,
% 132.15/132.57 X ) }.
% 132.15/132.57 parent0[0]: (571) {G5,W8,D2,L2,V3,M2} R(254,1) { ! coll( X, Y, Z ), coll( Z
% 132.15/132.57 , X, X ) }.
% 132.15/132.57 parent1[0]: (576) {G6,W8,D2,L2,V3,M2} R(571,1) { coll( X, Y, Y ), ! coll( Z
% 132.15/132.57 , Y, X ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Y
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (578) {G7,W8,D2,L2,V3,M2} R(576,571) { ! coll( X, Y, Z ), coll
% 132.15/132.57 ( Y, Z, Z ) }.
% 132.15/132.57 parent0: (123572) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := X
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123573) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y,
% 132.15/132.57 Z ) }.
% 132.15/132.57 parent0[1]: (577) {G6,W8,D2,L2,V3,M2} R(571,0) { coll( X, Y, Y ), ! coll( Y
% 132.15/132.57 , X, Z ) }.
% 132.15/132.57 parent1[0]: (577) {G6,W8,D2,L2,V3,M2} R(571,0) { coll( X, Y, Y ), ! coll( Y
% 132.15/132.57 , X, Z ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (581) {G7,W8,D2,L2,V3,M2} R(577,577) { ! coll( X, Y, Z ), coll
% 132.15/132.57 ( X, Y, Y ) }.
% 132.15/132.57 parent0: (123573) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123577) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y
% 132.15/132.57 , X ), ! coll( X, Y, T ) }.
% 132.15/132.57 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 132.15/132.57 ), coll( Y, Z, X ) }.
% 132.15/132.57 parent1[1]: (581) {G7,W8,D2,L2,V3,M2} R(577,577) { ! coll( X, Y, Z ), coll
% 132.15/132.57 ( X, Y, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := Y
% 132.15/132.57 T := Y
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (586) {G8,W12,D2,L3,V4,M3} R(581,2) { ! coll( X, Y, Z ), !
% 132.15/132.57 coll( X, Y, T ), coll( T, Y, X ) }.
% 132.15/132.57 parent0: (123577) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X
% 132.15/132.57 ), ! coll( X, Y, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := T
% 132.15/132.57 T := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 2
% 132.15/132.57 2 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 factor: (123580) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0, 1]: (586) {G8,W12,D2,L3,V4,M3} R(581,2) { ! coll( X, Y, Z ), !
% 132.15/132.57 coll( X, Y, T ), coll( T, Y, X ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (587) {G9,W8,D2,L2,V3,M2} F(586) { ! coll( X, Y, Z ), coll( Z
% 132.15/132.57 , Y, X ) }.
% 132.15/132.57 parent0: (123580) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123581) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X,
% 132.15/132.57 Y ) }.
% 132.15/132.57 parent0[0]: (587) {G9,W8,D2,L2,V3,M2} F(586) { ! coll( X, Y, Z ), coll( Z,
% 132.15/132.57 Y, X ) }.
% 132.15/132.57 parent1[1]: (578) {G7,W8,D2,L2,V3,M2} R(576,571) { ! coll( X, Y, Z ), coll
% 132.15/132.57 ( Y, Z, Z ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Y
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (590) {G10,W8,D2,L2,V3,M2} R(587,578) { coll( X, X, Y ), !
% 132.15/132.57 coll( Z, Y, X ) }.
% 132.15/132.57 parent0: (123581) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123582) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y,
% 132.15/132.57 X ) }.
% 132.15/132.57 parent0[0]: (587) {G9,W8,D2,L2,V3,M2} F(586) { ! coll( X, Y, Z ), coll( Z,
% 132.15/132.57 Y, X ) }.
% 132.15/132.57 parent1[0]: (576) {G6,W8,D2,L2,V3,M2} R(571,1) { coll( X, Y, Y ), ! coll( Z
% 132.15/132.57 , Y, X ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Y
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (591) {G10,W8,D2,L2,V3,M2} R(587,576) { coll( X, X, Y ), !
% 132.15/132.57 coll( Z, X, Y ) }.
% 132.15/132.57 parent0: (123582) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123583) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X,
% 132.15/132.57 Y ) }.
% 132.15/132.57 parent0[1]: (591) {G10,W8,D2,L2,V3,M2} R(587,576) { coll( X, X, Y ), ! coll
% 132.15/132.57 ( Z, X, Y ) }.
% 132.15/132.57 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Z
% 132.15/132.57 Y := X
% 132.15/132.57 Z := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (637) {G11,W8,D2,L2,V3,M2} R(69,591) { ! midp( X, Y, Z ), coll
% 132.15/132.57 ( Y, Y, Z ) }.
% 132.15/132.57 parent0: (123583) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := X
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 1
% 132.15/132.57 1 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123584) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 132.15/132.57 }.
% 132.15/132.57 parent1[0]: (335) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (653) {G2,W4,D2,L1,V0,M1} R(69,335) { coll( skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 parent0: (123584) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123585) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[1]: (572) {G5,W8,D2,L2,V3,M2} R(254,1) { coll( X, Y, X ), ! coll( Z
% 132.15/132.57 , X, Y ) }.
% 132.15/132.57 parent1[0]: (653) {G2,W4,D2,L1,V0,M1} R(69,335) { coll( skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol26
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (828) {G6,W4,D2,L1,V0,M1} R(653,572) { coll( skol20, skol25,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0: (123585) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123586) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 parent0[1]: (590) {G10,W8,D2,L2,V3,M2} R(587,578) { coll( X, X, Y ), ! coll
% 132.15/132.57 ( Z, Y, X ) }.
% 132.15/132.57 parent1[0]: (653) {G2,W4,D2,L1,V0,M1} R(69,335) { coll( skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol25
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol26
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (830) {G11,W4,D2,L1,V0,M1} R(653,590) { coll( skol25, skol25,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0: (123586) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123587) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y,
% 132.15/132.57 Z, X, X ), ! para( X, Y, X, Y ) }.
% 132.15/132.57 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 132.15/132.57 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 132.15/132.57 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 132.15/132.57 , Y, U, W, Z, T, U, W ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := X
% 132.15/132.57 T := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := X
% 132.15/132.57 W := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (880) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 132.15/132.57 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 132.15/132.57 parent0: (123587) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z,
% 132.15/132.57 X, X ), ! para( X, Y, X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 2
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123588) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 132.15/132.57 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 132.15/132.57 cyclic( X, Y, Z, T ) }.
% 132.15/132.57 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 132.15/132.57 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 132.15/132.57 ), cong( X, Y, Z, T ) }.
% 132.15/132.57 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 132.15/132.57 Z, X, Z, Y, T, X, T, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := X
% 132.15/132.57 T := Y
% 132.15/132.57 U := Z
% 132.15/132.57 W := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 factor: (123590) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 132.15/132.57 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 132.15/132.57 parent0[0, 2]: (123588) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 132.15/132.57 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 132.15/132.57 cyclic( X, Y, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := X
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1000) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 132.15/132.57 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 132.15/132.57 }.
% 132.15/132.57 parent0: (123590) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic
% 132.15/132.57 ( X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 3
% 132.15/132.57 3 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 factor: (123595) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 132.15/132.57 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 132.15/132.57 parent0[0, 2]: (1000) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 132.15/132.57 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := X
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1032) {G2,W15,D2,L3,V3,M3} F(1000) { ! cyclic( X, Y, Z, X ),
% 132.15/132.57 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 132.15/132.57 parent0: (123595) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic
% 132.15/132.57 ( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 2
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123597) {G1,W9,D2,L2,V2,M2} { ! midp( X, skol25, Y ), para(
% 132.15/132.57 skol28, X, skol22, Y ) }.
% 132.15/132.57 parent0[0]: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U,
% 132.15/132.57 Y ), para( Z, T, X, Y ) }.
% 132.15/132.57 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol25, skol22 )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol22
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := skol28
% 132.15/132.57 T := X
% 132.15/132.57 U := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1066) {G1,W9,D2,L2,V2,M2} R(44,118) { ! midp( X, skol25, Y )
% 132.15/132.57 , para( skol28, X, skol22, Y ) }.
% 132.15/132.57 parent0: (123597) {G1,W9,D2,L2,V2,M2} { ! midp( X, skol25, Y ), para(
% 132.15/132.57 skol28, X, skol22, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123599) {G1,W15,D2,L3,V4,M3} { ! circle( X, Y, Z, Y ), perp(
% 132.15/132.57 X, Y, Y, T ), ! para( Y, T, Y, Y ) }.
% 132.15/132.57 parent0[1]: (49) {G0,W19,D2,L3,V5,M3} I { ! circle( Y, X, T, U ), ! eqangle
% 132.15/132.57 ( X, Z, X, T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 132.15/132.57 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 132.15/132.57 , Y, U, W, Z, T, U, W ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := X
% 132.15/132.57 Z := T
% 132.15/132.57 T := Z
% 132.15/132.57 U := Y
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := T
% 132.15/132.57 Z := Y
% 132.15/132.57 T := Y
% 132.15/132.57 U := Y
% 132.15/132.57 W := Z
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1293) {G1,W15,D2,L3,V4,M3} R(49,39) { ! circle( X, Y, Z, Y )
% 132.15/132.57 , perp( X, Y, Y, T ), ! para( Y, T, Y, Y ) }.
% 132.15/132.57 parent0: (123599) {G1,W15,D2,L3,V4,M3} { ! circle( X, Y, Z, Y ), perp( X,
% 132.15/132.57 Y, Y, T ), ! para( Y, T, Y, Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 2
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123600) {G1,W10,D2,L2,V1,M2} { ! perp( skol20, X, X, skol25 )
% 132.15/132.57 , cong( skol20, skol26, X, skol26 ) }.
% 132.15/132.57 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 132.15/132.57 X, T ), cong( X, Z, Y, Z ) }.
% 132.15/132.57 parent1[0]: (335) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := X
% 132.15/132.57 Z := skol26
% 132.15/132.57 T := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1376) {G2,W10,D2,L2,V1,M2} R(52,335) { ! perp( skol20, X, X,
% 132.15/132.57 skol25 ), cong( skol20, skol26, X, skol26 ) }.
% 132.15/132.57 parent0: (123600) {G1,W10,D2,L2,V1,M2} { ! perp( skol20, X, X, skol25 ),
% 132.15/132.57 cong( skol20, skol26, X, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123601) {G1,W9,D2,L2,V0,M2} { ! midp( skol29, skol20, skol22
% 132.15/132.57 ), cong( skol27, skol20, skol27, skol22 ) }.
% 132.15/132.57 parent0[1]: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T,
% 132.15/132.57 X, Y ), cong( Z, X, Z, Y ) }.
% 132.15/132.57 parent1[0]: (495) {G6,W5,D2,L1,V0,M1} R(479,6) { perp( skol27, skol29,
% 132.15/132.57 skol20, skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol22
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol29
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123602) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol27,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 parent0[0]: (123601) {G1,W9,D2,L2,V0,M2} { ! midp( skol29, skol20, skol22
% 132.15/132.57 ), cong( skol27, skol20, skol27, skol22 ) }.
% 132.15/132.57 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol29, skol20, skol22 )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1675) {G7,W5,D2,L1,V0,M1} R(55,495);r(120) { cong( skol27,
% 132.15/132.57 skol20, skol27, skol22 ) }.
% 132.15/132.57 parent0: (123602) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol27,
% 132.15/132.57 skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123603) {G1,W9,D2,L2,V0,M2} { ! midp( skol26, skol25, skol20
% 132.15/132.57 ), cong( skol27, skol25, skol27, skol20 ) }.
% 132.15/132.57 parent0[1]: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T,
% 132.15/132.57 X, Y ), cong( Z, X, Z, Y ) }.
% 132.15/132.57 parent1[0]: (431) {G6,W5,D2,L1,V0,M1} R(425,6) { perp( skol27, skol26,
% 132.15/132.57 skol25, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol25
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol26
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123604) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0[0]: (123603) {G1,W9,D2,L2,V0,M2} { ! midp( skol26, skol25, skol20
% 132.15/132.57 ), cong( skol27, skol25, skol27, skol20 ) }.
% 132.15/132.57 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1687) {G7,W5,D2,L1,V0,M1} R(55,431);r(116) { cong( skol27,
% 132.15/132.57 skol25, skol27, skol20 ) }.
% 132.15/132.57 parent0: (123604) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123605) {G1,W10,D2,L2,V1,M2} { ! perp( X, skol26, skol20,
% 132.15/132.57 skol25 ), cong( X, skol20, X, skol25 ) }.
% 132.15/132.57 parent0[0]: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T,
% 132.15/132.57 X, Y ), cong( Z, X, Z, Y ) }.
% 132.15/132.57 parent1[0]: (335) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := X
% 132.15/132.57 T := skol26
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1700) {G2,W10,D2,L2,V1,M2} R(55,335) { ! perp( X, skol26,
% 132.15/132.57 skol20, skol25 ), cong( X, skol20, X, skol25 ) }.
% 132.15/132.57 parent0: (123605) {G1,W10,D2,L2,V1,M2} { ! perp( X, skol26, skol20, skol25
% 132.15/132.57 ), cong( X, skol20, X, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123606) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol22,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 132.15/132.57 , T, Z ) }.
% 132.15/132.57 parent1[0]: (1675) {G7,W5,D2,L1,V0,M1} R(55,495);r(120) { cong( skol27,
% 132.15/132.57 skol20, skol27, skol22 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol27
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol22
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1715) {G8,W5,D2,L1,V0,M1} R(1675,22) { cong( skol27, skol20,
% 132.15/132.57 skol22, skol27 ) }.
% 132.15/132.57 parent0: (123606) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol22,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123607) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol27,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.57 , X, Y ) }.
% 132.15/132.57 parent1[0]: (1715) {G8,W5,D2,L1,V0,M1} R(1675,22) { cong( skol27, skol20,
% 132.15/132.57 skol22, skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol27
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol22
% 132.15/132.57 T := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1726) {G9,W5,D2,L1,V0,M1} R(1715,23) { cong( skol22, skol27,
% 132.15/132.57 skol27, skol20 ) }.
% 132.15/132.57 parent0: (123607) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol27,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123608) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol20,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 132.15/132.57 , T, Z ) }.
% 132.15/132.57 parent1[0]: (1726) {G9,W5,D2,L1,V0,M1} R(1715,23) { cong( skol22, skol27,
% 132.15/132.57 skol27, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol22
% 132.15/132.57 Y := skol27
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1729) {G10,W5,D2,L1,V0,M1} R(1726,22) { cong( skol22, skol27
% 132.15/132.57 , skol20, skol27 ) }.
% 132.15/132.57 parent0: (123608) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol20,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123609) {G1,W10,D2,L2,V1,M2} { ! cong( skol22, X, skol20, X )
% 132.15/132.57 , perp( skol22, skol20, skol27, X ) }.
% 132.15/132.57 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 132.15/132.57 T, Y, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 parent1[0]: (1729) {G10,W5,D2,L1,V0,M1} R(1726,22) { cong( skol22, skol27,
% 132.15/132.57 skol20, skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol22
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1733) {G11,W10,D2,L2,V1,M2} R(56,1729) { ! cong( skol22, X,
% 132.15/132.57 skol20, X ), perp( skol22, skol20, skol27, X ) }.
% 132.15/132.57 parent0: (123609) {G1,W10,D2,L2,V1,M2} { ! cong( skol22, X, skol20, X ),
% 132.15/132.57 perp( skol22, skol20, skol27, X ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123611) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X
% 132.15/132.57 , Z, Y, Z ), ! cong( X, T, Y, T ) }.
% 132.15/132.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.57 X, Y ) }.
% 132.15/132.57 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 132.15/132.57 T, Y, T ), perp( X, Y, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1755) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 132.15/132.57 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 132.15/132.57 parent0: (123611) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X, Z
% 132.15/132.57 , Y, Z ), ! cong( X, T, Y, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := Y
% 132.15/132.57 T := T
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 2
% 132.15/132.57 1 ==> 0
% 132.15/132.57 2 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123613) {G1,W25,D2,L5,V6,M5} { ! cong( X, T, Z, T ), ! cyclic
% 132.15/132.57 ( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( X, Y, U, W ), ! cong( U, W, Z
% 132.15/132.57 , Y ) }.
% 132.15/132.57 parent0[0]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X,
% 132.15/132.57 Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 132.15/132.57 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 132.15/132.57 W, Z, T ), cong( X, Y, Z, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := T
% 132.15/132.57 T := Z
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := Y
% 132.15/132.57 U := U
% 132.15/132.57 W := W
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1799) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), !
% 132.15/132.57 cyclic( X, Z, T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong(
% 132.15/132.57 U, W, Z, T ) }.
% 132.15/132.57 parent0: (123613) {G1,W25,D2,L5,V6,M5} { ! cong( X, T, Z, T ), ! cyclic( X
% 132.15/132.57 , Z, Y, T ), perp( Y, X, X, T ), ! cong( X, Y, U, W ), ! cong( U, W, Z, Y
% 132.15/132.57 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := T
% 132.15/132.57 Z := Z
% 132.15/132.57 T := Y
% 132.15/132.57 U := U
% 132.15/132.57 W := W
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 2
% 132.15/132.57 3 ==> 3
% 132.15/132.57 4 ==> 4
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123619) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol20,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 132.15/132.57 , T, Z ) }.
% 132.15/132.57 parent1[0]: (1687) {G7,W5,D2,L1,V0,M1} R(55,431);r(116) { cong( skol27,
% 132.15/132.57 skol25, skol27, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol27
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1914) {G8,W5,D2,L1,V0,M1} R(1687,22) { cong( skol27, skol25,
% 132.15/132.57 skol20, skol27 ) }.
% 132.15/132.57 parent0: (123619) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol20,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123620) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol27, skol27,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.57 , X, Y ) }.
% 132.15/132.57 parent1[0]: (1914) {G8,W5,D2,L1,V0,M1} R(1687,22) { cong( skol27, skol25,
% 132.15/132.57 skol20, skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol27
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := skol27
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1925) {G9,W5,D2,L1,V0,M1} R(1914,23) { cong( skol20, skol27,
% 132.15/132.57 skol27, skol25 ) }.
% 132.15/132.57 parent0: (123620) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol27, skol27,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123621) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol27, skol25,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 132.15/132.57 , T, Z ) }.
% 132.15/132.57 parent1[0]: (1925) {G9,W5,D2,L1,V0,M1} R(1914,23) { cong( skol20, skol27,
% 132.15/132.57 skol27, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol27
% 132.15/132.57 Z := skol27
% 132.15/132.57 T := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (1928) {G10,W5,D2,L1,V0,M1} R(1925,22) { cong( skol20, skol27
% 132.15/132.57 , skol25, skol27 ) }.
% 132.15/132.57 parent0: (123621) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol27, skol25,
% 132.15/132.57 skol27 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123623) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T
% 132.15/132.57 , Z, U ), ! midp( X, U, T ) }.
% 132.15/132.57 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 132.15/132.57 T ), para( X, Z, Y, T ) }.
% 132.15/132.57 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := Y
% 132.15/132.57 Y := Z
% 132.15/132.57 Z := T
% 132.15/132.57 T := U
% 132.15/132.57 U := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 X := T
% 132.15/132.57 Y := U
% 132.15/132.57 Z := X
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (2064) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 132.15/132.57 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 132.15/132.57 parent0: (123623) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z
% 132.15/132.57 , U ), ! midp( X, U, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := T
% 132.15/132.57 U := U
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 2 ==> 2
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 factor: (123626) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 132.15/132.57 ) }.
% 132.15/132.57 parent0[0, 2]: (2064) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 132.15/132.57 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 T := Z
% 132.15/132.57 U := Y
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (2084) {G2,W9,D2,L2,V3,M2} F(2064) { ! midp( X, Y, Z ), para(
% 132.15/132.57 Y, Z, Z, Y ) }.
% 132.15/132.57 parent0: (123626) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z,
% 132.15/132.57 Y ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 Y := Y
% 132.15/132.57 Z := Z
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123627) {G1,W8,D2,L2,V0,M2} { ! coll( skol27, skol25, skol20
% 132.15/132.57 ), midp( skol27, skol25, skol20 ) }.
% 132.15/132.57 parent0[0]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 132.15/132.57 Y, Z ), midp( X, Y, Z ) }.
% 132.15/132.57 parent1[0]: (1687) {G7,W5,D2,L1,V0,M1} R(55,431);r(116) { cong( skol27,
% 132.15/132.57 skol25, skol27, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol27
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (2290) {G8,W8,D2,L2,V0,M2} R(67,1687) { ! coll( skol27, skol25
% 132.15/132.57 , skol20 ), midp( skol27, skol25, skol20 ) }.
% 132.15/132.57 parent0: (123627) {G1,W8,D2,L2,V0,M2} { ! coll( skol27, skol25, skol20 ),
% 132.15/132.57 midp( skol27, skol25, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123628) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol26,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 132.15/132.57 Z ) }.
% 132.15/132.57 parent1[0]: (335) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (2534) {G2,W5,D2,L1,V0,M1} R(68,335) { cong( skol26, skol20,
% 132.15/132.57 skol26, skol25 ) }.
% 132.15/132.57 parent0: (123628) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol26,
% 132.15/132.57 skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123629) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 132.15/132.57 Z ) }.
% 132.15/132.57 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (2535) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25,
% 132.15/132.57 skol26, skol20 ) }.
% 132.15/132.57 parent0: (123629) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123630) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol25,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 132.15/132.57 , T, Z ) }.
% 132.15/132.57 parent1[0]: (2534) {G2,W5,D2,L1,V0,M1} R(68,335) { cong( skol26, skol20,
% 132.15/132.57 skol26, skol25 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol26
% 132.15/132.57 T := skol25
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (2738) {G3,W5,D2,L1,V0,M1} R(2534,22) { cong( skol26, skol20,
% 132.15/132.57 skol25, skol26 ) }.
% 132.15/132.57 parent0: (123630) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol25,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123631) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol26,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.57 , X, Y ) }.
% 132.15/132.57 parent1[0]: (2738) {G3,W5,D2,L1,V0,M1} R(2534,22) { cong( skol26, skol20,
% 132.15/132.57 skol25, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol25
% 132.15/132.57 T := skol26
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (2750) {G4,W5,D2,L1,V0,M1} R(2738,23) { cong( skol25, skol26,
% 132.15/132.57 skol26, skol20 ) }.
% 132.15/132.57 parent0: (123631) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol26,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123632) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol20,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 132.15/132.57 , T, Z ) }.
% 132.15/132.57 parent1[0]: (2750) {G4,W5,D2,L1,V0,M1} R(2738,23) { cong( skol25, skol26,
% 132.15/132.57 skol26, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol25
% 132.15/132.57 Y := skol26
% 132.15/132.57 Z := skol26
% 132.15/132.57 T := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (2814) {G5,W5,D2,L1,V0,M1} R(2750,22) { cong( skol25, skol26,
% 132.15/132.57 skol20, skol26 ) }.
% 132.15/132.57 parent0: (123632) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol20,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123633) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20
% 132.15/132.57 , skol20 ) }.
% 132.15/132.57 parent0[0]: (134) {G2,W10,D2,L2,V3,M2} F(133) { ! cong( X, Y, X, Z ),
% 132.15/132.57 cyclic( Y, Z, Z, Z ) }.
% 132.15/132.57 parent1[0]: (2535) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25,
% 132.15/132.57 skol26, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (7639) {G3,W5,D2,L1,V0,M1} R(134,2535) { cyclic( skol25,
% 132.15/132.57 skol20, skol20, skol20 ) }.
% 132.15/132.57 parent0: (123633) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123634) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol26,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 parent0[0]: (140) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp(
% 132.15/132.57 X, Z, Y, Y ) }.
% 132.15/132.57 parent1[0]: (2814) {G5,W5,D2,L1,V0,M1} R(2750,22) { cong( skol25, skol26,
% 132.15/132.57 skol20, skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol25
% 132.15/132.57 Y := skol26
% 132.15/132.57 Z := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (7801) {G6,W5,D2,L1,V0,M1} R(140,2814) { perp( skol25, skol20
% 132.15/132.57 , skol26, skol26 ) }.
% 132.15/132.57 parent0: (123634) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol26,
% 132.15/132.57 skol26 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123635) {G2,W14,D3,L3,V1,M3} { ! coll( skol22, skol22, skol20
% 132.15/132.57 ), ! coll( skol20, skol22, skol20 ), midp( skol7( skol22, X ), skol22, X
% 132.15/132.57 ) }.
% 132.15/132.57 parent0[0]: (150) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 132.15/132.57 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 132.15/132.57 parent1[0]: (337) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol29, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol29
% 132.15/132.57 Y := skol22
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123636) {G3,W10,D3,L2,V1,M2} { ! coll( skol20, skol22, skol20
% 132.15/132.57 ), midp( skol7( skol22, X ), skol22, X ) }.
% 132.15/132.57 parent0[0]: (123635) {G2,W14,D3,L3,V1,M3} { ! coll( skol22, skol22, skol20
% 132.15/132.57 ), ! coll( skol20, skol22, skol20 ), midp( skol7( skol22, X ), skol22, X
% 132.15/132.57 ) }.
% 132.15/132.57 parent1[0]: (275) {G4,W4,D2,L1,V0,M1} R(238,0) { coll( skol22, skol22,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (8503) {G5,W10,D3,L2,V1,M2} R(150,337);r(275) { ! coll( skol20
% 132.15/132.57 , skol22, skol20 ), midp( skol7( skol22, X ), skol22, X ) }.
% 132.15/132.57 parent0: (123636) {G3,W10,D3,L2,V1,M2} { ! coll( skol20, skol22, skol20 )
% 132.15/132.57 , midp( skol7( skol22, X ), skol22, X ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123637) {G1,W14,D3,L3,V1,M3} { ! coll( skol25, skol25, skol20
% 132.15/132.57 ), ! coll( skol20, skol25, skol20 ), midp( skol7( skol25, X ), skol25, X
% 132.15/132.57 ) }.
% 132.15/132.57 parent0[0]: (150) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 132.15/132.57 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 132.15/132.57 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 132.15/132.57 }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol26
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123638) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol25, skol20
% 132.15/132.57 ), midp( skol7( skol25, X ), skol25, X ) }.
% 132.15/132.57 parent0[0]: (123637) {G1,W14,D3,L3,V1,M3} { ! coll( skol25, skol25, skol20
% 132.15/132.57 ), ! coll( skol20, skol25, skol20 ), midp( skol7( skol25, X ), skol25, X
% 132.15/132.57 ) }.
% 132.15/132.57 parent1[0]: (830) {G11,W4,D2,L1,V0,M1} R(653,590) { coll( skol25, skol25,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (8510) {G12,W10,D3,L2,V1,M2} R(150,116);r(830) { ! coll(
% 132.15/132.57 skol20, skol25, skol20 ), midp( skol7( skol25, X ), skol25, X ) }.
% 132.15/132.57 parent0: (123638) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol25, skol20 )
% 132.15/132.57 , midp( skol7( skol25, X ), skol25, X ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := X
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 1 ==> 1
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123639) {G1,W5,D2,L1,V0,M1} { cyclic( skol20, skol25, skol20
% 132.15/132.57 , skol20 ) }.
% 132.15/132.57 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 132.15/132.57 , X, Z, T ) }.
% 132.15/132.57 parent1[0]: (7639) {G3,W5,D2,L1,V0,M1} R(134,2535) { cyclic( skol25, skol20
% 132.15/132.57 , skol20, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol25
% 132.15/132.57 Y := skol20
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (8739) {G4,W5,D2,L1,V0,M1} R(7639,15) { cyclic( skol20, skol25
% 132.15/132.57 , skol20, skol20 ) }.
% 132.15/132.57 parent0: (123639) {G1,W5,D2,L1,V0,M1} { cyclic( skol20, skol25, skol20,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123640) {G1,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol25
% 132.15/132.57 , skol20 ) }.
% 132.15/132.57 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.57 , Z, Y, T ) }.
% 132.15/132.57 parent1[0]: (8739) {G4,W5,D2,L1,V0,M1} R(7639,15) { cyclic( skol20, skol25
% 132.15/132.57 , skol20, skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 X := skol20
% 132.15/132.57 Y := skol25
% 132.15/132.57 Z := skol20
% 132.15/132.57 T := skol20
% 132.15/132.57 end
% 132.15/132.57 substitution1:
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 subsumption: (8746) {G5,W5,D2,L1,V0,M1} R(8739,14) { cyclic( skol20, skol20
% 132.15/132.57 , skol25, skol20 ) }.
% 132.15/132.57 parent0: (123640) {G1,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol25,
% 132.15/132.57 skol20 ) }.
% 132.15/132.57 substitution0:
% 132.15/132.57 end
% 132.15/132.57 permutation0:
% 132.15/132.57 0 ==> 0
% 132.15/132.57 end
% 132.15/132.57
% 132.15/132.57 resolution: (123641) {G1,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol20
% 132.15/132.57 , skol25 ) }.
% 132.15/132.57 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.57 , Y, T, Z ) }.
% 132.15/132.57 parent1[0]: (8746) {G5,W5,D2,L1,V0,M1} R(8739,14) { cyclic( skol20, skol20
% 132.15/132.58 , skol25, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol20
% 132.15/132.58 Z := skol25
% 132.15/132.58 T := skol20
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (8778) {G6,W5,D2,L1,V0,M1} R(8746,13) { cyclic( skol20, skol20
% 132.15/132.58 , skol20, skol25 ) }.
% 132.15/132.58 parent0: (123641) {G1,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol20,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123642) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol25
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (135) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 132.15/132.58 cyclic( Y, Z, T, T ) }.
% 132.15/132.58 parent1[0]: (8778) {G6,W5,D2,L1,V0,M1} R(8746,13) { cyclic( skol20, skol20
% 132.15/132.58 , skol20, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol20
% 132.15/132.58 Z := skol20
% 132.15/132.58 T := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (8779) {G7,W5,D2,L1,V0,M1} R(8778,135) { cyclic( skol20,
% 132.15/132.58 skol20, skol25, skol25 ) }.
% 132.15/132.58 parent0: (123642) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol25,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123643) {G1,W5,D2,L1,V0,M1} { cyclic( skol20, skol25, skol20
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.58 , Z, Y, T ) }.
% 132.15/132.58 parent1[0]: (8779) {G7,W5,D2,L1,V0,M1} R(8778,135) { cyclic( skol20, skol20
% 132.15/132.58 , skol25, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol20
% 132.15/132.58 Z := skol25
% 132.15/132.58 T := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (8790) {G8,W5,D2,L1,V0,M1} R(8779,14) { cyclic( skol20, skol25
% 132.15/132.58 , skol20, skol25 ) }.
% 132.15/132.58 parent0: (123643) {G1,W5,D2,L1,V0,M1} { cyclic( skol20, skol25, skol20,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123644) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol25
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (135) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 132.15/132.58 cyclic( Y, Z, T, T ) }.
% 132.15/132.58 parent1[0]: (8790) {G8,W5,D2,L1,V0,M1} R(8779,14) { cyclic( skol20, skol25
% 132.15/132.58 , skol20, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol25
% 132.15/132.58 Z := skol20
% 132.15/132.58 T := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (8791) {G9,W5,D2,L1,V0,M1} R(8790,135) { cyclic( skol25,
% 132.15/132.58 skol20, skol25, skol25 ) }.
% 132.15/132.58 parent0: (123644) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol25,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123645) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 132.15/132.58 , X, Z, T ) }.
% 132.15/132.58 parent1[0]: (8790) {G8,W5,D2,L1,V0,M1} R(8779,14) { cyclic( skol20, skol25
% 132.15/132.58 , skol20, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol25
% 132.15/132.58 Z := skol20
% 132.15/132.58 T := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (8795) {G9,W5,D2,L1,V0,M1} R(8790,15) { cyclic( skol25, skol20
% 132.15/132.58 , skol20, skol25 ) }.
% 132.15/132.58 parent0: (123645) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123646) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol20
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.58 , Z, Y, T ) }.
% 132.15/132.58 parent1[0]: (8791) {G9,W5,D2,L1,V0,M1} R(8790,135) { cyclic( skol25, skol20
% 132.15/132.58 , skol25, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol25
% 132.15/132.58 Y := skol20
% 132.15/132.58 Z := skol25
% 132.15/132.58 T := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (8805) {G10,W5,D2,L1,V0,M1} R(8791,14) { cyclic( skol25,
% 132.15/132.58 skol25, skol20, skol25 ) }.
% 132.15/132.58 parent0: (123646) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol20,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123647) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol25
% 132.15/132.58 , skol20 ) }.
% 132.15/132.58 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 132.15/132.58 , Y, T, Z ) }.
% 132.15/132.58 parent1[0]: (8805) {G10,W5,D2,L1,V0,M1} R(8791,14) { cyclic( skol25, skol25
% 132.15/132.58 , skol20, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol25
% 132.15/132.58 Y := skol25
% 132.15/132.58 Z := skol20
% 132.15/132.58 T := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (8809) {G11,W5,D2,L1,V0,M1} R(8805,13) { cyclic( skol25,
% 132.15/132.58 skol25, skol25, skol20 ) }.
% 132.15/132.58 parent0: (123647) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123648) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol20
% 132.15/132.58 , skol20 ) }.
% 132.15/132.58 parent0[0]: (135) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 132.15/132.58 cyclic( Y, Z, T, T ) }.
% 132.15/132.58 parent1[0]: (8809) {G11,W5,D2,L1,V0,M1} R(8805,13) { cyclic( skol25, skol25
% 132.15/132.58 , skol25, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol25
% 132.15/132.58 Y := skol25
% 132.15/132.58 Z := skol25
% 132.15/132.58 T := skol20
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (8810) {G12,W5,D2,L1,V0,M1} R(8809,135) { cyclic( skol25,
% 132.15/132.58 skol25, skol20, skol20 ) }.
% 132.15/132.58 parent0: (123648) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol20,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123649) {G2,W10,D2,L2,V0,M2} { ! cong( skol25, skol20, skol25
% 132.15/132.58 , skol20 ), perp( skol20, skol25, skol25, skol20 ) }.
% 132.15/132.58 parent0[1]: (141) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 132.15/132.58 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 132.15/132.58 parent1[0]: (8810) {G12,W5,D2,L1,V0,M1} R(8809,135) { cyclic( skol25,
% 132.15/132.58 skol25, skol20, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol25
% 132.15/132.58 Y := skol20
% 132.15/132.58 Z := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (8815) {G13,W10,D2,L2,V0,M2} R(8810,141) { ! cong( skol25,
% 132.15/132.58 skol20, skol25, skol20 ), perp( skol20, skol25, skol25, skol20 ) }.
% 132.15/132.58 parent0: (123649) {G2,W10,D2,L2,V0,M2} { ! cong( skol25, skol20, skol25,
% 132.15/132.58 skol20 ), perp( skol20, skol25, skol25, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 1 ==> 1
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123650) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ),
% 132.15/132.58 skol22, X ) }.
% 132.15/132.58 parent0[0]: (8503) {G5,W10,D3,L2,V1,M2} R(150,337);r(275) { ! coll( skol20
% 132.15/132.58 , skol22, skol20 ), midp( skol7( skol22, X ), skol22, X ) }.
% 132.15/132.58 parent1[0]: (243) {G3,W4,D2,L1,V0,M1} R(199,168) { coll( skol20, skol22,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (20045) {G6,W6,D3,L1,V1,M1} S(8503);r(243) { midp( skol7(
% 132.15/132.58 skol22, X ), skol22, X ) }.
% 132.15/132.58 parent0: (123650) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22,
% 132.15/132.58 X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123651) {G7,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ),
% 132.15/132.58 skol25, X ) }.
% 132.15/132.58 parent0[0]: (8510) {G12,W10,D3,L2,V1,M2} R(150,116);r(830) { ! coll( skol20
% 132.15/132.58 , skol25, skol20 ), midp( skol7( skol25, X ), skol25, X ) }.
% 132.15/132.58 parent1[0]: (828) {G6,W4,D2,L1,V0,M1} R(653,572) { coll( skol20, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (20047) {G13,W6,D3,L1,V1,M1} S(8510);r(828) { midp( skol7(
% 132.15/132.58 skol25, X ), skol25, X ) }.
% 132.15/132.58 parent0: (123651) {G7,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25,
% 132.15/132.58 X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123652) {G3,W5,D2,L1,V0,M1} { para( skol26, skol27, skol26,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0]: (411) {G2,W10,D2,L2,V2,M2} R(268,8) { ! perp( skol25, skol20, X
% 132.15/132.58 , Y ), para( skol26, skol27, X, Y ) }.
% 132.15/132.58 parent1[0]: (7801) {G6,W5,D2,L1,V0,M1} R(140,2814) { perp( skol25, skol20,
% 132.15/132.58 skol26, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol26
% 132.15/132.58 Y := skol26
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (24272) {G7,W5,D2,L1,V0,M1} R(411,7801) { para( skol26, skol27
% 132.15/132.58 , skol26, skol26 ) }.
% 132.15/132.58 parent0: (123652) {G3,W5,D2,L1,V0,M1} { para( skol26, skol27, skol26,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123653) {G7,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 132.15/132.58 parent0[0]: (637) {G11,W8,D2,L2,V3,M2} R(69,591) { ! midp( X, Y, Z ), coll
% 132.15/132.58 ( Y, Y, Z ) }.
% 132.15/132.58 parent1[0]: (20045) {G6,W6,D3,L1,V1,M1} S(8503);r(243) { midp( skol7(
% 132.15/132.58 skol22, X ), skol22, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol7( skol22, X )
% 132.15/132.58 Y := skol22
% 132.15/132.58 Z := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (27516) {G12,W4,D2,L1,V1,M1} R(20045,637) { coll( skol22,
% 132.15/132.58 skol22, X ) }.
% 132.15/132.58 parent0: (123653) {G7,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123654) {G2,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 132.15/132.58 coll( X, skol22, Y ) }.
% 132.15/132.58 parent0[0]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 132.15/132.58 X, Y, T ), coll( Z, X, T ) }.
% 132.15/132.58 parent1[0]: (27516) {G12,W4,D2,L1,V1,M1} R(20045,637) { coll( skol22,
% 132.15/132.58 skol22, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol22
% 132.15/132.58 Y := skol22
% 132.15/132.58 Z := X
% 132.15/132.58 T := Y
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123656) {G3,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 132.15/132.58 parent0[0]: (123654) {G2,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 132.15/132.58 coll( X, skol22, Y ) }.
% 132.15/132.58 parent1[0]: (27516) {G12,W4,D2,L1,V1,M1} R(20045,637) { coll( skol22,
% 132.15/132.58 skol22, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := Y
% 132.15/132.58 Y := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (27613) {G13,W4,D2,L1,V2,M1} R(27516,194);r(27516) { coll( Y,
% 132.15/132.58 skol22, X ) }.
% 132.15/132.58 parent0: (123656) {G3,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123657) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 132.15/132.58 , X, Z ) }.
% 132.15/132.58 parent0[0]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 132.15/132.58 X, Y, T ), coll( Z, X, T ) }.
% 132.15/132.58 parent1[0]: (27613) {G13,W4,D2,L1,V2,M1} R(27516,194);r(27516) { coll( Y,
% 132.15/132.58 skol22, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := skol22
% 132.15/132.58 Z := Y
% 132.15/132.58 T := Z
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := Y
% 132.15/132.58 Y := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123659) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 132.15/132.58 parent0[0]: (123657) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 132.15/132.58 , X, Z ) }.
% 132.15/132.58 parent1[0]: (27613) {G13,W4,D2,L1,V2,M1} R(27516,194);r(27516) { coll( Y,
% 132.15/132.58 skol22, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Z
% 132.15/132.58 Z := Y
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := Y
% 132.15/132.58 Y := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (27624) {G14,W4,D2,L1,V3,M1} R(27613,194);r(27613) { coll( Z,
% 132.15/132.58 X, Y ) }.
% 132.15/132.58 parent0: (123659) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123660) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), X,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 132.15/132.58 }.
% 132.15/132.58 parent1[0]: (20047) {G13,W6,D3,L1,V1,M1} S(8510);r(828) { midp( skol7(
% 132.15/132.58 skol25, X ), skol25, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := skol25
% 132.15/132.58 Z := skol7( skol25, X )
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (27947) {G14,W6,D3,L1,V1,M1} R(20047,10) { midp( skol7( skol25
% 132.15/132.58 , X ), X, skol25 ) }.
% 132.15/132.58 parent0: (123660) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), X,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123661) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol25 ), ! coll
% 132.15/132.58 ( skol25, X, skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 132.15/132.58 parent0[0]: (150) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 132.15/132.58 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 132.15/132.58 parent1[0]: (27947) {G14,W6,D3,L1,V1,M1} R(20047,10) { midp( skol7( skol25
% 132.15/132.58 , X ), X, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol7( skol25, X )
% 132.15/132.58 Y := X
% 132.15/132.58 Z := skol25
% 132.15/132.58 T := Y
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123664) {G3,W10,D3,L2,V2,M2} { ! coll( skol25, X, skol25 ),
% 132.15/132.58 midp( skol7( X, Y ), X, Y ) }.
% 132.15/132.58 parent0[0]: (123661) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol25 ), ! coll
% 132.15/132.58 ( skol25, X, skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 132.15/132.58 parent1[0]: (27624) {G14,W4,D2,L1,V3,M1} R(27613,194);r(27613) { coll( Z, X
% 132.15/132.58 , Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := skol25
% 132.15/132.58 Z := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (28055) {G15,W10,D3,L2,V2,M2} R(27947,150);r(27624) { ! coll(
% 132.15/132.58 skol25, X, skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 132.15/132.58 parent0: (123664) {G3,W10,D3,L2,V2,M2} { ! coll( skol25, X, skol25 ), midp
% 132.15/132.58 ( skol7( X, Y ), X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 1 ==> 1
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123666) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para(
% 132.15/132.58 X, Z, X, Z ) }.
% 132.15/132.58 parent0[0]: (880) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 132.15/132.58 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 132.15/132.58 parent1[0]: (27624) {G14,W4,D2,L1,V3,M1} R(27613,194);r(27613) { coll( Z, X
% 132.15/132.58 , Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (38239) {G15,W10,D2,L2,V3,M2} S(880);r(27624) { cyclic( Z, Y,
% 132.15/132.58 X, X ), ! para( X, Z, X, Z ) }.
% 132.15/132.58 parent0: (123666) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X,
% 132.15/132.58 Z, X, Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 1 ==> 1
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123667) {G15,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y )
% 132.15/132.58 }.
% 132.15/132.58 parent0[0]: (28055) {G15,W10,D3,L2,V2,M2} R(27947,150);r(27624) { ! coll(
% 132.15/132.58 skol25, X, skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 132.15/132.58 parent1[0]: (27624) {G14,W4,D2,L1,V3,M1} R(27613,194);r(27613) { coll( Z, X
% 132.15/132.58 , Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := skol25
% 132.15/132.58 Z := skol25
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (40096) {G16,W6,D3,L1,V2,M1} S(28055);r(27624) { midp( skol7(
% 132.15/132.58 X, Y ), X, Y ) }.
% 132.15/132.58 parent0: (123667) {G15,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123668) {G9,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol20 )
% 132.15/132.58 }.
% 132.15/132.58 parent0[0]: (2290) {G8,W8,D2,L2,V0,M2} R(67,1687) { ! coll( skol27, skol25
% 132.15/132.58 , skol20 ), midp( skol27, skol25, skol20 ) }.
% 132.15/132.58 parent1[0]: (27624) {G14,W4,D2,L1,V3,M1} R(27613,194);r(27613) { coll( Z, X
% 132.15/132.58 , Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol25
% 132.15/132.58 Y := skol20
% 132.15/132.58 Z := skol27
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (40346) {G15,W4,D2,L1,V0,M1} S(2290);r(27624) { midp( skol27,
% 132.15/132.58 skol25, skol20 ) }.
% 132.15/132.58 parent0: (123668) {G9,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123669) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 132.15/132.58 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 132.15/132.58 }.
% 132.15/132.58 parent1[0]: (40096) {G16,W6,D3,L1,V2,M1} S(28055);r(27624) { midp( skol7( X
% 132.15/132.58 , Y ), X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := Y
% 132.15/132.58 Y := X
% 132.15/132.58 Z := skol7( X, Y )
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (41416) {G17,W6,D3,L1,V2,M1} R(40096,10) { midp( skol7( X, Y )
% 132.15/132.58 , Y, X ) }.
% 132.15/132.58 parent0: (123669) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123670) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol20,
% 132.15/132.58 skol20, skol20 ), cong( skol25, skol20, skol25, skol20 ) }.
% 132.15/132.58 parent0[0]: (1032) {G2,W15,D2,L3,V3,M3} F(1000) { ! cyclic( X, Y, Z, X ), !
% 132.15/132.58 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 132.15/132.58 parent1[0]: (8795) {G9,W5,D2,L1,V0,M1} R(8790,15) { cyclic( skol25, skol20
% 132.15/132.58 , skol20, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol25
% 132.15/132.58 Y := skol20
% 132.15/132.58 Z := skol20
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123671) {G4,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 parent0[0]: (123670) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol20,
% 132.15/132.58 skol20, skol20 ), cong( skol25, skol20, skol25, skol20 ) }.
% 132.15/132.58 parent1[0]: (7639) {G3,W5,D2,L1,V0,M1} R(134,2535) { cyclic( skol25, skol20
% 132.15/132.58 , skol20, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (41651) {G10,W5,D2,L1,V0,M1} R(1032,8795);r(7639) { cong(
% 132.15/132.58 skol25, skol20, skol25, skol20 ) }.
% 132.15/132.58 parent0: (123671) {G4,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123672) {G2,W5,D2,L1,V0,M1} { para( skol28, skol27, skol22,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 parent0[0]: (1066) {G1,W9,D2,L2,V2,M2} R(44,118) { ! midp( X, skol25, Y ),
% 132.15/132.58 para( skol28, X, skol22, Y ) }.
% 132.15/132.58 parent1[0]: (40346) {G15,W4,D2,L1,V0,M1} S(2290);r(27624) { midp( skol27,
% 132.15/132.58 skol25, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol27
% 132.15/132.58 Y := skol20
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (46948) {G16,W5,D2,L1,V0,M1} R(1066,40346) { para( skol28,
% 132.15/132.58 skol27, skol22, skol20 ) }.
% 132.15/132.58 parent0: (123672) {G2,W5,D2,L1,V0,M1} { para( skol28, skol27, skol22,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123673) {G6,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol27,
% 132.15/132.58 skol29 ) }.
% 132.15/132.58 parent0[0]: (476) {G5,W10,D2,L2,V2,M2} R(475,9) { ! para( X, Y, skol22,
% 132.15/132.58 skol20 ), perp( X, Y, skol27, skol29 ) }.
% 132.15/132.58 parent1[0]: (46948) {G16,W5,D2,L1,V0,M1} R(1066,40346) { para( skol28,
% 132.15/132.58 skol27, skol22, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol28
% 132.15/132.58 Y := skol27
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (47014) {G17,W5,D2,L1,V0,M1} R(46948,476) { perp( skol28,
% 132.15/132.58 skol27, skol27, skol29 ) }.
% 132.15/132.58 parent0: (123673) {G6,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol27,
% 132.15/132.58 skol29 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123674) {G5,W5,D2,L1,V0,M1} { para( skol22, skol25, skol27,
% 132.15/132.58 skol29 ) }.
% 132.15/132.58 parent0[0]: (447) {G4,W10,D2,L2,V2,M2} R(442,8) { ! perp( skol28, skol27, X
% 132.15/132.58 , Y ), para( skol22, skol25, X, Y ) }.
% 132.15/132.58 parent1[0]: (47014) {G17,W5,D2,L1,V0,M1} R(46948,476) { perp( skol28,
% 132.15/132.58 skol27, skol27, skol29 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol27
% 132.15/132.58 Y := skol29
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (47057) {G18,W5,D2,L1,V0,M1} R(47014,447) { para( skol22,
% 132.15/132.58 skol25, skol27, skol29 ) }.
% 132.15/132.58 parent0: (123674) {G5,W5,D2,L1,V0,M1} { para( skol22, skol25, skol27,
% 132.15/132.58 skol29 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123675) {G8,W5,D2,L1,V0,M1} { perp( skol22, skol25, skol20,
% 132.15/132.58 skol22 ) }.
% 132.15/132.58 parent0[0]: (496) {G7,W10,D2,L2,V2,M2} R(495,9) { ! para( X, Y, skol27,
% 132.15/132.58 skol29 ), perp( X, Y, skol20, skol22 ) }.
% 132.15/132.58 parent1[0]: (47057) {G18,W5,D2,L1,V0,M1} R(47014,447) { para( skol22,
% 132.15/132.58 skol25, skol27, skol29 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol22
% 132.15/132.58 Y := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (47108) {G19,W5,D2,L1,V0,M1} R(47057,496) { perp( skol22,
% 132.15/132.58 skol25, skol20, skol22 ) }.
% 132.15/132.58 parent0: (123675) {G8,W5,D2,L1,V0,M1} { perp( skol22, skol25, skol20,
% 132.15/132.58 skol22 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123676) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 132.15/132.58 X, Y ) }.
% 132.15/132.58 parent1[0]: (47108) {G19,W5,D2,L1,V0,M1} R(47057,496) { perp( skol22,
% 132.15/132.58 skol25, skol20, skol22 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol22
% 132.15/132.58 Y := skol25
% 132.15/132.58 Z := skol20
% 132.15/132.58 T := skol22
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (47184) {G20,W5,D2,L1,V0,M1} R(47108,7) { perp( skol20, skol22
% 132.15/132.58 , skol22, skol25 ) }.
% 132.15/132.58 parent0: (123676) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123677) {G3,W5,D2,L1,V0,M1} { cong( skol20, skol26, skol22,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0]: (1376) {G2,W10,D2,L2,V1,M2} R(52,335) { ! perp( skol20, X, X,
% 132.15/132.58 skol25 ), cong( skol20, skol26, X, skol26 ) }.
% 132.15/132.58 parent1[0]: (47184) {G20,W5,D2,L1,V0,M1} R(47108,7) { perp( skol20, skol22
% 132.15/132.58 , skol22, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol22
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (57139) {G21,W5,D2,L1,V0,M1} R(1376,47184) { cong( skol20,
% 132.15/132.58 skol26, skol22, skol26 ) }.
% 132.15/132.58 parent0: (123677) {G3,W5,D2,L1,V0,M1} { cong( skol20, skol26, skol22,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123678) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol26, skol20,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.58 , X, Y ) }.
% 132.15/132.58 parent1[0]: (57139) {G21,W5,D2,L1,V0,M1} R(1376,47184) { cong( skol20,
% 132.15/132.58 skol26, skol22, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol26
% 132.15/132.58 Z := skol22
% 132.15/132.58 T := skol26
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (57202) {G22,W5,D2,L1,V0,M1} R(57139,23) { cong( skol22,
% 132.15/132.58 skol26, skol20, skol26 ) }.
% 132.15/132.58 parent0: (123678) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol26, skol20,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123679) {G11,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 parent0[0]: (8815) {G13,W10,D2,L2,V0,M2} R(8810,141) { ! cong( skol25,
% 132.15/132.58 skol20, skol25, skol20 ), perp( skol20, skol25, skol25, skol20 ) }.
% 132.15/132.58 parent1[0]: (41651) {G10,W5,D2,L1,V0,M1} R(1032,8795);r(7639) { cong(
% 132.15/132.58 skol25, skol20, skol25, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (60534) {G14,W5,D2,L1,V0,M1} S(8815);r(41651) { perp( skol20,
% 132.15/132.58 skol25, skol25, skol20 ) }.
% 132.15/132.58 parent0: (123679) {G11,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123680) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0]: (542) {G2,W10,D2,L2,V2,M2} R(255,8) { ! perp( X, Y, skol25,
% 132.15/132.58 skol20 ), para( X, Y, skol27, skol26 ) }.
% 132.15/132.58 parent1[0]: (60534) {G14,W5,D2,L1,V0,M1} S(8815);r(41651) { perp( skol20,
% 132.15/132.58 skol25, skol25, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (60565) {G15,W5,D2,L1,V0,M1} R(60534,542) { para( skol20,
% 132.15/132.58 skol25, skol27, skol26 ) }.
% 132.15/132.58 parent0: (123680) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123681) {G2,W5,D2,L1,V0,M1} { para( skol26, skol27, skol20,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 parent0[1]: (213) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 132.15/132.58 ( Z, T, Y, X ) }.
% 132.15/132.58 parent1[0]: (60565) {G15,W5,D2,L1,V0,M1} R(60534,542) { para( skol20,
% 132.15/132.58 skol25, skol27, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol26
% 132.15/132.58 Y := skol27
% 132.15/132.58 Z := skol20
% 132.15/132.58 T := skol25
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (60641) {G16,W5,D2,L1,V0,M1} R(60565,213) { para( skol26,
% 132.15/132.58 skol27, skol20, skol25 ) }.
% 132.15/132.58 parent0: (123681) {G2,W5,D2,L1,V0,M1} { para( skol26, skol27, skol20,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123682) {G6,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0]: (422) {G5,W10,D2,L2,V2,M2} R(421,9) { ! para( X, Y, skol20,
% 132.15/132.58 skol25 ), perp( X, Y, skol27, skol26 ) }.
% 132.15/132.58 parent1[0]: (60641) {G16,W5,D2,L1,V0,M1} R(60565,213) { para( skol26,
% 132.15/132.58 skol27, skol20, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol26
% 132.15/132.58 Y := skol27
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (60796) {G17,W5,D2,L1,V0,M1} R(60641,422) { perp( skol26,
% 132.15/132.58 skol27, skol27, skol26 ) }.
% 132.15/132.58 parent0: (123682) {G6,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123683) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0]: (267) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 132.15/132.58 ( Z, T, Y, X ) }.
% 132.15/132.58 parent1[0]: (60796) {G17,W5,D2,L1,V0,M1} R(60641,422) { perp( skol26,
% 132.15/132.58 skol27, skol27, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol26
% 132.15/132.58 Y := skol27
% 132.15/132.58 Z := skol27
% 132.15/132.58 T := skol26
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (60869) {G18,W5,D2,L1,V0,M1} R(60796,267) { perp( skol27,
% 132.15/132.58 skol26, skol27, skol26 ) }.
% 132.15/132.58 parent0: (123683) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123685) {G2,W10,D2,L2,V2,M2} { ! perp( X, Y, skol27, skol26 )
% 132.15/132.58 , para( skol27, skol26, X, Y ) }.
% 132.15/132.58 parent0[1]: (293) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 132.15/132.58 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 132.15/132.58 parent1[0]: (60869) {G18,W5,D2,L1,V0,M1} R(60796,267) { perp( skol27,
% 132.15/132.58 skol26, skol27, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := skol27
% 132.15/132.58 T := skol26
% 132.15/132.58 U := skol27
% 132.15/132.58 W := skol26
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (60938) {G19,W10,D2,L2,V2,M2} R(60869,293) { ! perp( X, Y,
% 132.15/132.58 skol27, skol26 ), para( skol27, skol26, X, Y ) }.
% 132.15/132.58 parent0: (123685) {G2,W10,D2,L2,V2,M2} { ! perp( X, Y, skol27, skol26 ),
% 132.15/132.58 para( skol27, skol26, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 1 ==> 1
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123686) {G12,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0]: (1733) {G11,W10,D2,L2,V1,M2} R(56,1729) { ! cong( skol22, X,
% 132.15/132.58 skol20, X ), perp( skol22, skol20, skol27, X ) }.
% 132.15/132.58 parent1[0]: (57202) {G22,W5,D2,L1,V0,M1} R(57139,23) { cong( skol22, skol26
% 132.15/132.58 , skol20, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol26
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (70521) {G23,W5,D2,L1,V0,M1} R(1733,57202) { perp( skol22,
% 132.15/132.58 skol20, skol27, skol26 ) }.
% 132.15/132.58 parent0: (123686) {G12,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123687) {G7,W5,D2,L1,V0,M1} { para( skol27, skol29, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0]: (493) {G6,W10,D2,L2,V2,M2} R(479,8) { ! perp( skol22, skol20, X
% 132.15/132.58 , Y ), para( skol27, skol29, X, Y ) }.
% 132.15/132.58 parent1[0]: (70521) {G23,W5,D2,L1,V0,M1} R(1733,57202) { perp( skol22,
% 132.15/132.58 skol20, skol27, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol27
% 132.15/132.58 Y := skol26
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (70592) {G24,W5,D2,L1,V0,M1} R(70521,493) { para( skol27,
% 132.15/132.58 skol29, skol27, skol26 ) }.
% 132.15/132.58 parent0: (123687) {G7,W5,D2,L1,V0,M1} { para( skol27, skol29, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123688) {G8,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 parent0[0]: (432) {G7,W10,D2,L2,V2,M2} R(431,9) { ! para( X, Y, skol27,
% 132.15/132.58 skol26 ), perp( X, Y, skol25, skol20 ) }.
% 132.15/132.58 parent1[0]: (70592) {G24,W5,D2,L1,V0,M1} R(70521,493) { para( skol27,
% 132.15/132.58 skol29, skol27, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol27
% 132.15/132.58 Y := skol29
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (70653) {G25,W5,D2,L1,V0,M1} R(70592,432) { perp( skol27,
% 132.15/132.58 skol29, skol25, skol20 ) }.
% 132.15/132.58 parent0: (123688) {G8,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123689) {G3,W5,D2,L1,V0,M1} { para( skol20, skol22, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 parent0[0]: (547) {G2,W10,D2,L2,V2,M2} R(257,8) { ! perp( skol27, skol29, X
% 132.15/132.58 , Y ), para( skol20, skol22, X, Y ) }.
% 132.15/132.58 parent1[0]: (70653) {G25,W5,D2,L1,V0,M1} R(70592,432) { perp( skol27,
% 132.15/132.58 skol29, skol25, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol25
% 132.15/132.58 Y := skol20
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (70695) {G26,W5,D2,L1,V0,M1} R(70653,547) { para( skol20,
% 132.15/132.58 skol22, skol25, skol20 ) }.
% 132.15/132.58 parent0: (123689) {G3,W5,D2,L1,V0,M1} { para( skol20, skol22, skol25,
% 132.15/132.58 skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123690) {G3,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0]: (540) {G2,W10,D2,L2,V2,M2} R(255,9) { ! para( X, Y, skol25,
% 132.15/132.58 skol20 ), perp( X, Y, skol27, skol26 ) }.
% 132.15/132.58 parent1[0]: (70695) {G26,W5,D2,L1,V0,M1} R(70653,547) { para( skol20,
% 132.15/132.58 skol22, skol25, skol20 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol22
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (70748) {G27,W5,D2,L1,V0,M1} R(70695,540) { perp( skol20,
% 132.15/132.58 skol22, skol27, skol26 ) }.
% 132.15/132.58 parent0: (123690) {G3,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123691) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 132.15/132.58 skol22 ) }.
% 132.15/132.58 parent0[1]: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 132.15/132.58 ( Z, T, Y, X ) }.
% 132.15/132.58 parent1[0]: (70748) {G27,W5,D2,L1,V0,M1} R(70695,540) { perp( skol20,
% 132.15/132.58 skol22, skol27, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol26
% 132.15/132.58 Y := skol27
% 132.15/132.58 Z := skol20
% 132.15/132.58 T := skol22
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79040) {G28,W5,D2,L1,V0,M1} R(70748,266) { perp( skol26,
% 132.15/132.58 skol27, skol20, skol22 ) }.
% 132.15/132.58 parent0: (123691) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 132.15/132.58 skol22 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123692) {G2,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol26
% 132.15/132.58 , skol27 ) }.
% 132.15/132.58 parent0[1]: (301) {G1,W10,D2,L2,V2,M2} R(8,127) { ! perp( skol23, skol24, X
% 132.15/132.58 , Y ), ! perp( X, Y, skol20, skol22 ) }.
% 132.15/132.58 parent1[0]: (79040) {G28,W5,D2,L1,V0,M1} R(70748,266) { perp( skol26,
% 132.15/132.58 skol27, skol20, skol22 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol26
% 132.15/132.58 Y := skol27
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79063) {G29,W5,D2,L1,V0,M1} R(79040,301) { ! perp( skol23,
% 132.15/132.58 skol24, skol26, skol27 ) }.
% 132.15/132.58 parent0: (123692) {G2,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol26,
% 132.15/132.58 skol27 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123693) {G5,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (79063) {G29,W5,D2,L1,V0,M1} R(79040,301) { ! perp( skol23,
% 132.15/132.58 skol24, skol26, skol27 ) }.
% 132.15/132.58 parent1[1]: (418) {G4,W10,D2,L2,V2,M2} R(417,9) { ! para( X, Y, skol20,
% 132.15/132.58 skol25 ), perp( X, Y, skol26, skol27 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 Y := skol24
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79085) {G30,W5,D2,L1,V0,M1} R(79063,418) { ! para( skol23,
% 132.15/132.58 skol24, skol20, skol25 ) }.
% 132.15/132.58 parent0: (123693) {G5,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123694) {G4,W5,D2,L1,V0,M1} { ! perp( skol23, skol27, skol20
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (79085) {G30,W5,D2,L1,V0,M1} R(79063,418) { ! para( skol23,
% 132.15/132.58 skol24, skol20, skol25 ) }.
% 132.15/132.58 parent1[1]: (504) {G3,W10,D2,L2,V2,M2} R(502,8) { ! perp( skol23, skol27, X
% 132.15/132.58 , Y ), para( skol23, skol24, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol25
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79116) {G31,W5,D2,L1,V0,M1} R(79085,504) { ! perp( skol23,
% 132.15/132.58 skol27, skol20, skol25 ) }.
% 132.15/132.58 parent0: (123694) {G4,W5,D2,L1,V0,M1} { ! perp( skol23, skol27, skol20,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123695) {G2,W10,D2,L2,V0,M2} { ! cong( skol20, skol23, skol25
% 132.15/132.58 , skol23 ), ! cong( skol20, skol27, skol25, skol27 ) }.
% 132.15/132.58 parent0[0]: (79116) {G31,W5,D2,L1,V0,M1} R(79085,504) { ! perp( skol23,
% 132.15/132.58 skol27, skol20, skol25 ) }.
% 132.15/132.58 parent1[2]: (1755) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 132.15/132.58 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol23
% 132.15/132.58 Z := skol25
% 132.15/132.58 T := skol27
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123696) {G3,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol25
% 132.15/132.58 , skol23 ) }.
% 132.15/132.58 parent0[1]: (123695) {G2,W10,D2,L2,V0,M2} { ! cong( skol20, skol23, skol25
% 132.15/132.58 , skol23 ), ! cong( skol20, skol27, skol25, skol27 ) }.
% 132.15/132.58 parent1[0]: (1928) {G10,W5,D2,L1,V0,M1} R(1925,22) { cong( skol20, skol27,
% 132.15/132.58 skol25, skol27 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79162) {G32,W5,D2,L1,V0,M1} R(79116,1755);r(1928) { ! cong(
% 132.15/132.58 skol20, skol23, skol25, skol23 ) }.
% 132.15/132.58 parent0: (123696) {G3,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol25,
% 132.15/132.58 skol23 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123697) {G2,W5,D2,L1,V0,M1} { ! cong( skol23, skol25, skol20
% 132.15/132.58 , skol23 ) }.
% 132.15/132.58 parent0[0]: (79162) {G32,W5,D2,L1,V0,M1} R(79116,1755);r(1928) { ! cong(
% 132.15/132.58 skol20, skol23, skol25, skol23 ) }.
% 132.15/132.58 parent1[1]: (531) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 132.15/132.58 cong( Z, T, Y, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 Y := skol25
% 132.15/132.58 Z := skol20
% 132.15/132.58 T := skol23
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79207) {G33,W5,D2,L1,V0,M1} R(79162,531) { ! cong( skol23,
% 132.15/132.58 skol25, skol20, skol23 ) }.
% 132.15/132.58 parent0: (123697) {G2,W5,D2,L1,V0,M1} { ! cong( skol23, skol25, skol20,
% 132.15/132.58 skol23 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123698) {G2,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol23
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (79207) {G33,W5,D2,L1,V0,M1} R(79162,531) { ! cong( skol23,
% 132.15/132.58 skol25, skol20, skol23 ) }.
% 132.15/132.58 parent1[1]: (531) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 132.15/132.58 cong( Z, T, Y, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 Y := skol20
% 132.15/132.58 Z := skol23
% 132.15/132.58 T := skol25
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79225) {G34,W5,D2,L1,V0,M1} R(79207,531) { ! cong( skol23,
% 132.15/132.58 skol20, skol23, skol25 ) }.
% 132.15/132.58 parent0: (123698) {G2,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol23,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123699) {G3,W5,D2,L1,V0,M1} { ! perp( skol23, skol26, skol20
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (79225) {G34,W5,D2,L1,V0,M1} R(79207,531) { ! cong( skol23,
% 132.15/132.58 skol20, skol23, skol25 ) }.
% 132.15/132.58 parent1[1]: (1700) {G2,W10,D2,L2,V1,M2} R(55,335) { ! perp( X, skol26,
% 132.15/132.58 skol20, skol25 ), cong( X, skol20, X, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79235) {G35,W5,D2,L1,V0,M1} R(79225,1700) { ! perp( skol23,
% 132.15/132.58 skol26, skol20, skol25 ) }.
% 132.15/132.58 parent0: (123699) {G3,W5,D2,L1,V0,M1} { ! perp( skol23, skol26, skol20,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123700) {G7,W5,D2,L1,V0,M1} { ! para( skol23, skol26, skol27
% 132.15/132.58 , skol26 ) }.
% 132.15/132.58 parent0[0]: (79235) {G35,W5,D2,L1,V0,M1} R(79225,1700) { ! perp( skol23,
% 132.15/132.58 skol26, skol20, skol25 ) }.
% 132.15/132.58 parent1[1]: (428) {G6,W10,D2,L2,V2,M2} R(425,9) { ! para( X, Y, skol27,
% 132.15/132.58 skol26 ), perp( X, Y, skol20, skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 Y := skol26
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79299) {G36,W5,D2,L1,V0,M1} R(79235,428) { ! para( skol23,
% 132.15/132.58 skol26, skol27, skol26 ) }.
% 132.15/132.58 parent0: (123700) {G7,W5,D2,L1,V0,M1} { ! para( skol23, skol26, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123701) {G2,W15,D2,L3,V4,M3} { ! para( X, Y, Z, T ), ! perp(
% 132.15/132.58 Z, T, skol27, skol26 ), ! perp( skol23, skol26, X, Y ) }.
% 132.15/132.58 parent0[0]: (79299) {G36,W5,D2,L1,V0,M1} R(79235,428) { ! para( skol23,
% 132.15/132.58 skol26, skol27, skol26 ) }.
% 132.15/132.58 parent1[3]: (315) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), !
% 132.15/132.58 perp( Z, T, U, W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 T := T
% 132.15/132.58 U := skol27
% 132.15/132.58 W := skol26
% 132.15/132.58 V0 := skol23
% 132.15/132.58 V1 := skol26
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79329) {G37,W15,D2,L3,V4,M3} R(79299,315) { ! para( X, Y, Z,
% 132.15/132.58 T ), ! perp( Z, T, skol27, skol26 ), ! perp( skol23, skol26, X, Y ) }.
% 132.15/132.58 parent0: (123701) {G2,W15,D2,L3,V4,M3} { ! para( X, Y, Z, T ), ! perp( Z,
% 132.15/132.58 T, skol27, skol26 ), ! perp( skol23, skol26, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 T := T
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 1 ==> 1
% 132.15/132.58 2 ==> 2
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 factor: (123703) {G37,W10,D2,L2,V0,M2} { ! para( skol27, skol26, skol23,
% 132.15/132.58 skol26 ), ! perp( skol23, skol26, skol27, skol26 ) }.
% 132.15/132.58 parent0[1, 2]: (79329) {G37,W15,D2,L3,V4,M3} R(79299,315) { ! para( X, Y, Z
% 132.15/132.58 , T ), ! perp( Z, T, skol27, skol26 ), ! perp( skol23, skol26, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol27
% 132.15/132.58 Y := skol26
% 132.15/132.58 Z := skol23
% 132.15/132.58 T := skol26
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123704) {G20,W10,D2,L2,V0,M2} { ! perp( skol23, skol26,
% 132.15/132.58 skol27, skol26 ), ! perp( skol23, skol26, skol27, skol26 ) }.
% 132.15/132.58 parent0[0]: (123703) {G37,W10,D2,L2,V0,M2} { ! para( skol27, skol26,
% 132.15/132.58 skol23, skol26 ), ! perp( skol23, skol26, skol27, skol26 ) }.
% 132.15/132.58 parent1[1]: (60938) {G19,W10,D2,L2,V2,M2} R(60869,293) { ! perp( X, Y,
% 132.15/132.58 skol27, skol26 ), para( skol27, skol26, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 Y := skol26
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 factor: (123705) {G20,W5,D2,L1,V0,M1} { ! perp( skol23, skol26, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[0, 1]: (123704) {G20,W10,D2,L2,V0,M2} { ! perp( skol23, skol26,
% 132.15/132.58 skol27, skol26 ), ! perp( skol23, skol26, skol27, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79351) {G38,W5,D2,L1,V0,M1} F(79329);r(60938) { ! perp(
% 132.15/132.58 skol23, skol26, skol27, skol26 ) }.
% 132.15/132.58 parent0: (123705) {G20,W5,D2,L1,V0,M1} { ! perp( skol23, skol26, skol27,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123706) {G1,W5,D2,L1,V0,M1} { ! perp( skol23, skol26, skol26
% 132.15/132.58 , skol27 ) }.
% 132.15/132.58 parent0[0]: (79351) {G38,W5,D2,L1,V0,M1} F(79329);r(60938) { ! perp( skol23
% 132.15/132.58 , skol26, skol27, skol26 ) }.
% 132.15/132.58 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 132.15/132.58 T, Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 Y := skol26
% 132.15/132.58 Z := skol26
% 132.15/132.58 T := skol27
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79371) {G39,W5,D2,L1,V0,M1} R(79351,6) { ! perp( skol23,
% 132.15/132.58 skol26, skol26, skol27 ) }.
% 132.15/132.58 parent0: (123706) {G1,W5,D2,L1,V0,M1} { ! perp( skol23, skol26, skol26,
% 132.15/132.58 skol27 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123707) {G2,W10,D2,L2,V1,M2} { ! circle( skol23, skol26, X,
% 132.15/132.58 skol26 ), ! para( skol26, skol27, skol26, skol26 ) }.
% 132.15/132.58 parent0[0]: (79371) {G39,W5,D2,L1,V0,M1} R(79351,6) { ! perp( skol23,
% 132.15/132.58 skol26, skol26, skol27 ) }.
% 132.15/132.58 parent1[1]: (1293) {G1,W15,D2,L3,V4,M3} R(49,39) { ! circle( X, Y, Z, Y ),
% 132.15/132.58 perp( X, Y, Y, T ), ! para( Y, T, Y, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 Y := skol26
% 132.15/132.58 Z := X
% 132.15/132.58 T := skol27
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123708) {G3,W5,D2,L1,V1,M1} { ! circle( skol23, skol26, X,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 parent0[1]: (123707) {G2,W10,D2,L2,V1,M2} { ! circle( skol23, skol26, X,
% 132.15/132.58 skol26 ), ! para( skol26, skol27, skol26, skol26 ) }.
% 132.15/132.58 parent1[0]: (24272) {G7,W5,D2,L1,V0,M1} R(411,7801) { para( skol26, skol27
% 132.15/132.58 , skol26, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79960) {G40,W5,D2,L1,V1,M1} R(79371,1293);r(24272) { ! circle
% 132.15/132.58 ( skol23, skol26, X, skol26 ) }.
% 132.15/132.58 parent0: (123708) {G3,W5,D2,L1,V1,M1} { ! circle( skol23, skol26, X,
% 132.15/132.58 skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123709) {G3,W10,D2,L2,V1,M2} { ! cong( skol23, skol26, skol23
% 132.15/132.58 , X ), ! cong( skol23, X, skol23, skol26 ) }.
% 132.15/132.58 parent0[0]: (79960) {G40,W5,D2,L1,V1,M1} R(79371,1293);r(24272) { ! circle
% 132.15/132.58 ( skol23, skol26, X, skol26 ) }.
% 132.15/132.58 parent1[2]: (563) {G2,W15,D2,L3,V4,M3} F(562) { ! cong( X, Y, X, Z ), !
% 132.15/132.58 cong( X, Z, X, T ), circle( X, Y, Z, T ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 Y := skol26
% 132.15/132.58 Z := X
% 132.15/132.58 T := skol26
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123712) {G1,W10,D2,L2,V1,M2} { ! cong( skol23, X, skol23,
% 132.15/132.58 skol26 ), ! cong( skol23, X, skol23, skol26 ) }.
% 132.15/132.58 parent0[0]: (123709) {G3,W10,D2,L2,V1,M2} { ! cong( skol23, skol26, skol23
% 132.15/132.58 , X ), ! cong( skol23, X, skol23, skol26 ) }.
% 132.15/132.58 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 132.15/132.58 , X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 Y := X
% 132.15/132.58 Z := skol23
% 132.15/132.58 T := skol26
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 factor: (123714) {G1,W5,D2,L1,V1,M1} { ! cong( skol23, X, skol23, skol26 )
% 132.15/132.58 }.
% 132.15/132.58 parent0[0, 1]: (123712) {G1,W10,D2,L2,V1,M2} { ! cong( skol23, X, skol23,
% 132.15/132.58 skol26 ), ! cong( skol23, X, skol23, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79974) {G41,W5,D2,L1,V1,M1} R(79960,563);r(23) { ! cong(
% 132.15/132.58 skol23, X, skol23, skol26 ) }.
% 132.15/132.58 parent0: (123714) {G1,W5,D2,L1,V1,M1} { ! cong( skol23, X, skol23, skol26
% 132.15/132.58 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123716) {G3,W5,D2,L1,V2,M1} { ! cong( X, Y, skol23, skol26 )
% 132.15/132.58 }.
% 132.15/132.58 parent0[0]: (79974) {G41,W5,D2,L1,V1,M1} R(79960,563);r(23) { ! cong(
% 132.15/132.58 skol23, X, skol23, skol26 ) }.
% 132.15/132.58 parent1[1]: (566) {G2,W10,D2,L2,V4,M2} F(553) { ! cong( X, Y, Z, T ), cong
% 132.15/132.58 ( Z, T, Z, T ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol26
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := skol23
% 132.15/132.58 T := skol26
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (79995) {G42,W5,D2,L1,V2,M1} R(79974,566) { ! cong( X, Y,
% 132.15/132.58 skol23, skol26 ) }.
% 132.15/132.58 parent0: (123716) {G3,W5,D2,L1,V2,M1} { ! cong( X, Y, skol23, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123717) {G3,W5,D2,L1,V0,M1} { ! perp( skol20, skol23, skol23
% 132.15/132.58 , skol25 ) }.
% 132.15/132.58 parent0[0]: (79995) {G42,W5,D2,L1,V2,M1} R(79974,566) { ! cong( X, Y,
% 132.15/132.58 skol23, skol26 ) }.
% 132.15/132.58 parent1[1]: (1376) {G2,W10,D2,L2,V1,M2} R(52,335) { ! perp( skol20, X, X,
% 132.15/132.58 skol25 ), cong( skol20, skol26, X, skol26 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol26
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol23
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (80051) {G43,W5,D2,L1,V0,M1} R(79995,1376) { ! perp( skol20,
% 132.15/132.58 skol23, skol23, skol25 ) }.
% 132.15/132.58 parent0: (123717) {G3,W5,D2,L1,V0,M1} { ! perp( skol20, skol23, skol23,
% 132.15/132.58 skol25 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123718) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 132.15/132.58 parent0[0]: (2084) {G2,W9,D2,L2,V3,M2} F(2064) { ! midp( X, Y, Z ), para( Y
% 132.15/132.58 , Z, Z, Y ) }.
% 132.15/132.58 parent1[0]: (41416) {G17,W6,D3,L1,V2,M1} R(40096,10) { midp( skol7( X, Y )
% 132.15/132.58 , Y, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := skol7( X, Y )
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (112593) {G18,W5,D2,L1,V2,M1} R(2084,41416) { para( X, Y, Y, X
% 132.15/132.58 ) }.
% 132.15/132.58 parent0: (123718) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := Y
% 132.15/132.58 Y := X
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123719) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 132.15/132.58 parent0[0]: (214) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 132.15/132.58 ( Z, T, Y, X ) }.
% 132.15/132.58 parent1[0]: (112593) {G18,W5,D2,L1,V2,M1} R(2084,41416) { para( X, Y, Y, X
% 132.15/132.58 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Y
% 132.15/132.58 T := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (112606) {G19,W5,D2,L1,V2,M1} R(112593,214) { para( X, Y, X, Y
% 132.15/132.58 ) }.
% 132.15/132.58 parent0: (123719) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := Y
% 132.15/132.58 Y := X
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123720) {G16,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 132.15/132.58 parent0[1]: (38239) {G15,W10,D2,L2,V3,M2} S(880);r(27624) { cyclic( Z, Y, X
% 132.15/132.58 , X ), ! para( X, Z, X, Z ) }.
% 132.15/132.58 parent1[0]: (112606) {G19,W5,D2,L1,V2,M1} R(112593,214) { para( X, Y, X, Y
% 132.15/132.58 ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := Z
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := Z
% 132.15/132.58 Y := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (120941) {G20,W5,D2,L1,V3,M1} S(38239);r(112606) { cyclic( Z,
% 132.15/132.58 Y, X, X ) }.
% 132.15/132.58 parent0: (123720) {G16,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := Z
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := X
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123721) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 132.15/132.58 parent0[0]: (372) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 132.15/132.58 cyclic( Y, Z, X, T ) }.
% 132.15/132.58 parent1[0]: (120941) {G20,W5,D2,L1,V3,M1} S(38239);r(112606) { cyclic( Z, Y
% 132.15/132.58 , X, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 T := Z
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := Z
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (122310) {G21,W5,D2,L1,V3,M1} R(120941,372) { cyclic( X, Y, Z
% 132.15/132.58 , Y ) }.
% 132.15/132.58 parent0: (123721) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := Z
% 132.15/132.58 Y := X
% 132.15/132.58 Z := Y
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123722) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 132.15/132.58 parent0[1]: (371) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 132.15/132.58 cyclic( Y, Z, X, T ) }.
% 132.15/132.58 parent1[0]: (120941) {G20,W5,D2,L1,V3,M1} S(38239);r(112606) { cyclic( Z, Y
% 132.15/132.58 , X, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 T := X
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Z
% 132.15/132.58 Z := Y
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (122311) {G21,W5,D2,L1,V3,M1} R(120941,371) { cyclic( X, Y, Z
% 132.15/132.58 , X ) }.
% 132.15/132.58 parent0: (123722) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123723) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 132.15/132.58 parent0[0]: (361) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 132.15/132.58 cyclic( X, Z, T, Y ) }.
% 132.15/132.58 parent1[0]: (120941) {G20,W5,D2,L1,V3,M1} S(38239);r(112606) { cyclic( Z, Y
% 132.15/132.58 , X, X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 T := Z
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := Z
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (122312) {G21,W5,D2,L1,V3,M1} R(120941,361) { cyclic( X, Y, Y
% 132.15/132.58 , Z ) }.
% 132.15/132.58 parent0: (123723) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Z
% 132.15/132.58 Z := Y
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123725) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong(
% 132.15/132.58 X, Y, X, Y ) }.
% 132.15/132.58 parent0[1]: (1032) {G2,W15,D2,L3,V3,M3} F(1000) { ! cyclic( X, Y, Z, X ), !
% 132.15/132.58 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 132.15/132.58 parent1[0]: (122310) {G21,W5,D2,L1,V3,M1} R(120941,372) { cyclic( X, Y, Z,
% 132.15/132.58 Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123727) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 132.15/132.58 parent0[0]: (123725) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong(
% 132.15/132.58 X, Y, X, Y ) }.
% 132.15/132.58 parent1[0]: (122311) {G21,W5,D2,L1,V3,M1} R(120941,371) { cyclic( X, Y, Z,
% 132.15/132.58 X ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (122325) {G22,W5,D2,L1,V2,M1} R(122310,1032);r(122311) { cong
% 132.15/132.58 ( X, Y, X, Y ) }.
% 132.15/132.58 parent0: (123727) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123729) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 132.15/132.58 ( Y, Y, Z, T ) }.
% 132.15/132.58 parent0[2]: (395) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 132.15/132.58 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 132.15/132.58 parent1[0]: (122310) {G21,W5,D2,L1,V3,M1} R(120941,372) { cyclic( X, Y, Z,
% 132.15/132.58 Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Y
% 132.15/132.58 T := Z
% 132.15/132.58 U := T
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := T
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123730) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 132.15/132.58 parent0[0]: (123729) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 132.15/132.58 ( Y, Y, Z, T ) }.
% 132.15/132.58 parent1[0]: (122312) {G21,W5,D2,L1,V3,M1} R(120941,361) { cyclic( X, Y, Y,
% 132.15/132.58 Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 T := T
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (122333) {G22,W5,D2,L1,V3,M1} R(122310,395);r(122312) { cyclic
% 132.15/132.58 ( Y, Y, Z, T ) }.
% 132.15/132.58 parent0: (123730) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := U
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 T := T
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123731) {G2,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Y ), perp( Z
% 132.15/132.58 , X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 132.15/132.58 parent0[1]: (1799) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), !
% 132.15/132.58 cyclic( X, Z, T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong( U
% 132.15/132.58 , W, Z, T ) }.
% 132.15/132.58 parent1[0]: (122333) {G22,W5,D2,L1,V3,M1} R(122310,395);r(122312) { cyclic
% 132.15/132.58 ( Y, Y, Z, T ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := X
% 132.15/132.58 T := Z
% 132.15/132.58 U := T
% 132.15/132.58 W := U
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := W
% 132.15/132.58 Y := X
% 132.15/132.58 Z := Z
% 132.15/132.58 T := Y
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123739) {G3,W15,D2,L3,V5,M3} { perp( Z, X, X, Y ), ! cong( X
% 132.15/132.58 , Z, T, U ), ! cong( T, U, X, Z ) }.
% 132.15/132.58 parent0[0]: (123731) {G2,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Y ), perp( Z
% 132.15/132.58 , X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 132.15/132.58 parent1[0]: (122325) {G22,W5,D2,L1,V2,M1} R(122310,1032);r(122311) { cong(
% 132.15/132.58 X, Y, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 T := T
% 132.15/132.58 U := U
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (122355) {G23,W15,D2,L3,V5,M3} R(122333,1799);r(122325) { perp
% 132.15/132.58 ( Z, X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 132.15/132.58 parent0: (123739) {G3,W15,D2,L3,V5,M3} { perp( Z, X, X, Y ), ! cong( X, Z
% 132.15/132.58 , T, U ), ! cong( T, U, X, Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 T := T
% 132.15/132.58 U := U
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 1 ==> 1
% 132.15/132.58 2 ==> 2
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 factor: (123741) {G23,W10,D2,L2,V3,M2} { perp( X, Y, Y, Z ), ! cong( Y, X
% 132.15/132.58 , Y, X ) }.
% 132.15/132.58 parent0[1, 2]: (122355) {G23,W15,D2,L3,V5,M3} R(122333,1799);r(122325) {
% 132.15/132.58 perp( Z, X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := Y
% 132.15/132.58 Y := Z
% 132.15/132.58 Z := X
% 132.15/132.58 T := Y
% 132.15/132.58 U := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123742) {G23,W5,D2,L1,V3,M1} { perp( X, Y, Y, Z ) }.
% 132.15/132.58 parent0[1]: (123741) {G23,W10,D2,L2,V3,M2} { perp( X, Y, Y, Z ), ! cong( Y
% 132.15/132.58 , X, Y, X ) }.
% 132.15/132.58 parent1[0]: (122325) {G22,W5,D2,L1,V2,M1} R(122310,1032);r(122311) { cong(
% 132.15/132.58 X, Y, X, Y ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := Y
% 132.15/132.58 Y := X
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (122377) {G24,W5,D2,L1,V3,M1} F(122355);r(122325) { perp( X, Y
% 132.15/132.58 , Y, Z ) }.
% 132.15/132.58 parent0: (123742) {G23,W5,D2,L1,V3,M1} { perp( X, Y, Y, Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 X := X
% 132.15/132.58 Y := Y
% 132.15/132.58 Z := Z
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 0 ==> 0
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 resolution: (123743) {G25,W0,D0,L0,V0,M0} { }.
% 132.15/132.58 parent0[0]: (80051) {G43,W5,D2,L1,V0,M1} R(79995,1376) { ! perp( skol20,
% 132.15/132.58 skol23, skol23, skol25 ) }.
% 132.15/132.58 parent1[0]: (122377) {G24,W5,D2,L1,V3,M1} F(122355);r(122325) { perp( X, Y
% 132.15/132.58 , Y, Z ) }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 substitution1:
% 132.15/132.58 X := skol20
% 132.15/132.58 Y := skol23
% 132.15/132.58 Z := skol25
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 subsumption: (122458) {G44,W0,D0,L0,V0,M0} R(122377,80051) { }.
% 132.15/132.58 parent0: (123743) {G25,W0,D0,L0,V0,M0} { }.
% 132.15/132.58 substitution0:
% 132.15/132.58 end
% 132.15/132.58 permutation0:
% 132.15/132.58 end
% 132.15/132.58
% 132.15/132.58 Proof check complete!
% 132.15/132.58
% 132.15/132.58 Memory use:
% 132.15/132.58
% 132.15/132.58 space for terms: 1730569
% 132.15/132.58 space for clauses: 5682062
% 132.15/132.58
% 132.15/132.58
% 132.15/132.58 clauses generated: 613517
% 132.15/132.58 clauses kept: 122459
% 132.15/132.58 clauses selected: 5147
% 132.15/132.58 clauses deleted: 30417
% 132.15/132.58 clauses inuse deleted: 1573
% 132.15/132.58
% 132.15/132.58 subsentry: 21807750
% 132.15/132.58 literals s-matched: 14663625
% 132.15/132.58 literals matched: 7220835
% 132.15/132.58 full subsumption: 3618131
% 132.15/132.58
% 132.15/132.58 checksum: 542724218
% 132.15/132.58
% 132.15/132.58
% 132.15/132.58 Bliksem ended
%------------------------------------------------------------------------------