TSTP Solution File: GEO581+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO581+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:52 EDT 2022
% Result : Theorem 27.01s 27.39s
% Output : Refutation 27.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO581+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jun 17 15:12:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 *** allocated 15000 integers for termspace/termends
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13
% 0.73/1.13 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.73/1.13 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.73/1.13 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.73/1.13 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.73/1.13 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.73/1.13 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.73/1.13 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.73/1.13 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.73/1.13 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.73/1.13 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.73/1.13 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.73/1.13 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.73/1.13 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.73/1.13 ( X, Y, Z, T ) }.
% 0.73/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.73/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.73/1.13 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.73/1.13 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.73/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.73/1.13 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.73/1.13 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.73/1.13 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.73/1.13 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.73/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.73/1.13 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.73/1.13 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.73/1.13 ( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.73/1.13 ( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.73/1.13 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.73/1.13 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.73/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.73/1.13 T ) }.
% 0.73/1.13 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.73/1.13 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.73/1.13 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.73/1.13 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.73/1.13 ) }.
% 0.73/1.13 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.73/1.13 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.73/1.13 }.
% 0.73/1.13 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.73/1.13 Z, Y ) }.
% 0.73/1.13 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.73/1.13 X, Z ) }.
% 0.73/1.13 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.73/1.13 U ) }.
% 0.73/1.13 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.73/1.13 , Z ), midp( Z, X, Y ) }.
% 0.73/1.13 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.73/1.13 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.73/1.13 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.73/1.13 Z, Y ) }.
% 0.73/1.13 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.73/1.13 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.73/1.13 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.73/1.13 ( Y, X, X, Z ) }.
% 0.73/1.13 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.73/1.13 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.73/1.13 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.73/1.13 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.73/1.13 , W ) }.
% 0.73/1.13 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.73/1.13 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.73/1.13 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.73/1.13 , Y ) }.
% 0.73/1.13 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.73/1.13 , X, Z, U, Y, Y, T ) }.
% 0.73/1.13 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.73/1.13 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.73/1.13 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.73/1.13 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.73/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.73/1.13 .
% 0.73/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.73/1.13 ) }.
% 0.73/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.73/1.13 , Z, T ) }.
% 0.73/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.73/1.13 , Z, T ) }.
% 0.73/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.73/1.13 , Z, T ) }.
% 0.73/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.73/1.13 , W, Z, T ), Z, T ) }.
% 0.73/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.73/1.13 , Y, Z, T ), X, Y ) }.
% 0.73/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.73/1.13 , W, Z, T ), Z, T ) }.
% 0.73/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.73/1.13 skol2( X, Y, Z, T ) ) }.
% 0.73/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.73/1.13 , W, Z, T ), Z, T ) }.
% 0.73/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.73/1.13 skol3( X, Y, Z, T ) ) }.
% 0.73/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.73/1.13 , T ) }.
% 0.73/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.73/1.13 ) ) }.
% 0.73/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.73/1.13 skol5( W, Y, Z, T ) ) }.
% 0.73/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.73/1.13 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.73/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.73/1.13 , X, T ) }.
% 0.73/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.73/1.13 W, X, Z ) }.
% 0.73/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.73/1.13 , Y, T ) }.
% 0.73/1.13 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.73/1.13 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.73/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.73/1.13 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.73/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.73/1.13 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.73/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.73/1.13 Z, T ) ) }.
% 0.73/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.73/1.13 , T ) ) }.
% 0.73/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.73/1.13 , X, Y ) }.
% 0.73/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.73/1.13 ) }.
% 0.73/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.73/1.13 , Y ) }.
% 0.73/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.73/1.13 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.73/1.13 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.73/1.13 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.73/1.13 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.86/5.26 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.86/5.26 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.86/5.26 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.86/5.26 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.86/5.26 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.86/5.26 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.86/5.26 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.86/5.26 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.86/5.26 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.86/5.26 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.86/5.26 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.86/5.26 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.86/5.26 X, Y, Z ) }.
% 4.86/5.26 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.86/5.26 }.
% 4.86/5.26 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.86/5.26 ) }.
% 4.86/5.26 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.86/5.26 skol17( X, Y ), X, Y ) }.
% 4.86/5.26 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.86/5.26 }.
% 4.86/5.26 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.86/5.26 ) }.
% 4.86/5.26 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.86/5.26 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.86/5.26 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.86/5.26 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.86/5.26 { perp( skol23, skol20, skol23, skol22 ) }.
% 4.86/5.26 { eqangle( skol22, skol20, skol20, skol26, skol20, skol26, skol26, skol25 )
% 4.86/5.26 }.
% 4.86/5.26 { cong( skol20, skol26, skol26, skol25 ) }.
% 4.86/5.26 { coll( skol24, skol22, skol26 ) }.
% 4.86/5.26 { coll( skol24, skol20, skol25 ) }.
% 4.86/5.26 { ! eqangle( skol20, skol23, skol23, skol24, skol24, skol23, skol23, skol22
% 4.86/5.26 ) }.
% 4.86/5.26
% 4.86/5.26 percentage equality = 0.008824, percentage horn = 0.926230
% 4.86/5.26 This is a problem with some equality
% 4.86/5.26
% 4.86/5.26
% 4.86/5.26
% 4.86/5.26 Options Used:
% 4.86/5.26
% 4.86/5.26 useres = 1
% 4.86/5.26 useparamod = 1
% 4.86/5.26 useeqrefl = 1
% 4.86/5.26 useeqfact = 1
% 4.86/5.26 usefactor = 1
% 4.86/5.26 usesimpsplitting = 0
% 4.86/5.26 usesimpdemod = 5
% 4.86/5.26 usesimpres = 3
% 4.86/5.26
% 4.86/5.26 resimpinuse = 1000
% 4.86/5.26 resimpclauses = 20000
% 4.86/5.26 substype = eqrewr
% 4.86/5.26 backwardsubs = 1
% 4.86/5.26 selectoldest = 5
% 4.86/5.26
% 4.86/5.26 litorderings [0] = split
% 4.86/5.26 litorderings [1] = extend the termordering, first sorting on arguments
% 4.86/5.26
% 4.86/5.26 termordering = kbo
% 4.86/5.26
% 4.86/5.26 litapriori = 0
% 4.86/5.26 termapriori = 1
% 4.86/5.26 litaposteriori = 0
% 4.86/5.26 termaposteriori = 0
% 4.86/5.26 demodaposteriori = 0
% 4.86/5.26 ordereqreflfact = 0
% 4.86/5.26
% 4.86/5.26 litselect = negord
% 4.86/5.26
% 4.86/5.26 maxweight = 15
% 4.86/5.26 maxdepth = 30000
% 4.86/5.26 maxlength = 115
% 4.86/5.26 maxnrvars = 195
% 4.86/5.26 excuselevel = 1
% 4.86/5.26 increasemaxweight = 1
% 4.86/5.26
% 4.86/5.26 maxselected = 10000000
% 4.86/5.26 maxnrclauses = 10000000
% 4.86/5.26
% 4.86/5.26 showgenerated = 0
% 4.86/5.26 showkept = 0
% 4.86/5.26 showselected = 0
% 4.86/5.26 showdeleted = 0
% 4.86/5.26 showresimp = 1
% 4.86/5.26 showstatus = 2000
% 4.86/5.26
% 4.86/5.26 prologoutput = 0
% 4.86/5.26 nrgoals = 5000000
% 4.86/5.26 totalproof = 1
% 4.86/5.26
% 4.86/5.26 Symbols occurring in the translation:
% 4.86/5.26
% 4.86/5.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.86/5.26 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 4.86/5.26 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 4.86/5.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.86/5.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.86/5.26 coll [38, 3] (w:1, o:63, a:1, s:1, b:0),
% 4.86/5.26 para [40, 4] (w:1, o:71, a:1, s:1, b:0),
% 4.86/5.26 perp [43, 4] (w:1, o:72, a:1, s:1, b:0),
% 4.86/5.26 midp [45, 3] (w:1, o:64, a:1, s:1, b:0),
% 4.86/5.26 cong [47, 4] (w:1, o:73, a:1, s:1, b:0),
% 4.86/5.26 circle [48, 4] (w:1, o:74, a:1, s:1, b:0),
% 4.86/5.26 cyclic [49, 4] (w:1, o:75, a:1, s:1, b:0),
% 4.86/5.26 eqangle [54, 8] (w:1, o:90, a:1, s:1, b:0),
% 4.86/5.26 eqratio [57, 8] (w:1, o:91, a:1, s:1, b:0),
% 4.86/5.26 simtri [59, 6] (w:1, o:87, a:1, s:1, b:0),
% 4.86/5.26 contri [60, 6] (w:1, o:88, a:1, s:1, b:0),
% 4.86/5.26 alpha1 [64, 3] (w:1, o:65, a:1, s:1, b:1),
% 4.86/5.26 alpha2 [65, 4] (w:1, o:76, a:1, s:1, b:1),
% 4.86/5.26 skol1 [66, 4] (w:1, o:77, a:1, s:1, b:1),
% 4.86/5.26 skol2 [67, 4] (w:1, o:79, a:1, s:1, b:1),
% 4.86/5.26 skol3 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 4.86/5.26 skol4 [69, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.86/5.26 skol5 [70, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.86/5.26 skol6 [71, 6] (w:1, o:89, a:1, s:1, b:1),
% 4.86/5.26 skol7 [72, 2] (w:1, o:59, a:1, s:1, b:1),
% 4.86/5.26 skol8 [73, 4] (w:1, o:84, a:1, s:1, b:1),
% 27.01/27.38 skol9 [74, 4] (w:1, o:85, a:1, s:1, b:1),
% 27.01/27.38 skol10 [75, 3] (w:1, o:66, a:1, s:1, b:1),
% 27.01/27.38 skol11 [76, 3] (w:1, o:67, a:1, s:1, b:1),
% 27.01/27.38 skol12 [77, 2] (w:1, o:60, a:1, s:1, b:1),
% 27.01/27.38 skol13 [78, 5] (w:1, o:86, a:1, s:1, b:1),
% 27.01/27.38 skol14 [79, 3] (w:1, o:68, a:1, s:1, b:1),
% 27.01/27.38 skol15 [80, 3] (w:1, o:69, a:1, s:1, b:1),
% 27.01/27.38 skol16 [81, 3] (w:1, o:70, a:1, s:1, b:1),
% 27.01/27.38 skol17 [82, 2] (w:1, o:61, a:1, s:1, b:1),
% 27.01/27.38 skol18 [83, 2] (w:1, o:62, a:1, s:1, b:1),
% 27.01/27.38 skol19 [84, 4] (w:1, o:78, a:1, s:1, b:1),
% 27.01/27.38 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 27.01/27.38 skol21 [86, 4] (w:1, o:80, a:1, s:1, b:1),
% 27.01/27.38 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 27.01/27.38 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 27.01/27.38 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 27.01/27.38 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 27.01/27.38 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1).
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Starting Search:
% 27.01/27.38
% 27.01/27.38 *** allocated 15000 integers for clauses
% 27.01/27.38 *** allocated 22500 integers for clauses
% 27.01/27.38 *** allocated 33750 integers for clauses
% 27.01/27.38 *** allocated 22500 integers for termspace/termends
% 27.01/27.38 *** allocated 50625 integers for clauses
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 75937 integers for clauses
% 27.01/27.38 *** allocated 33750 integers for termspace/termends
% 27.01/27.38 *** allocated 113905 integers for clauses
% 27.01/27.38 *** allocated 50625 integers for termspace/termends
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 20725
% 27.01/27.38 Kept: 2057
% 27.01/27.38 Inuse: 331
% 27.01/27.38 Deleted: 1
% 27.01/27.38 Deletedinuse: 1
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 170857 integers for clauses
% 27.01/27.38 *** allocated 75937 integers for termspace/termends
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 113905 integers for termspace/termends
% 27.01/27.38 *** allocated 256285 integers for clauses
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 42052
% 27.01/27.38 Kept: 4061
% 27.01/27.38 Inuse: 455
% 27.01/27.38 Deleted: 19
% 27.01/27.38 Deletedinuse: 2
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 170857 integers for termspace/termends
% 27.01/27.38 *** allocated 384427 integers for clauses
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 53541
% 27.01/27.38 Kept: 6185
% 27.01/27.38 Inuse: 529
% 27.01/27.38 Deleted: 19
% 27.01/27.38 Deletedinuse: 2
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 576640 integers for clauses
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 76304
% 27.01/27.38 Kept: 8232
% 27.01/27.38 Inuse: 727
% 27.01/27.38 Deleted: 21
% 27.01/27.38 Deletedinuse: 2
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 256285 integers for termspace/termends
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 93944
% 27.01/27.38 Kept: 10450
% 27.01/27.38 Inuse: 803
% 27.01/27.38 Deleted: 28
% 27.01/27.38 Deletedinuse: 5
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 103537
% 27.01/27.38 Kept: 12694
% 27.01/27.38 Inuse: 843
% 27.01/27.38 Deleted: 32
% 27.01/27.38 Deletedinuse: 9
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 864960 integers for clauses
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 114595
% 27.01/27.38 Kept: 14706
% 27.01/27.38 Inuse: 915
% 27.01/27.38 Deleted: 36
% 27.01/27.38 Deletedinuse: 9
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 384427 integers for termspace/termends
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 130004
% 27.01/27.38 Kept: 16708
% 27.01/27.38 Inuse: 1047
% 27.01/27.38 Deleted: 48
% 27.01/27.38 Deletedinuse: 9
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 143929
% 27.01/27.38 Kept: 18722
% 27.01/27.38 Inuse: 1173
% 27.01/27.38 Deleted: 71
% 27.01/27.38 Deletedinuse: 25
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 1297440 integers for clauses
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying clauses:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 158339
% 27.01/27.38 Kept: 20745
% 27.01/27.38 Inuse: 1292
% 27.01/27.38 Deleted: 2026
% 27.01/27.38 Deletedinuse: 35
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 169525
% 27.01/27.38 Kept: 22762
% 27.01/27.38 Inuse: 1420
% 27.01/27.38 Deleted: 3443
% 27.01/27.38 Deletedinuse: 1030
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 180809
% 27.01/27.38 Kept: 24775
% 27.01/27.38 Inuse: 1568
% 27.01/27.38 Deleted: 3893
% 27.01/27.38 Deletedinuse: 1030
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 576640 integers for termspace/termends
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 193304
% 27.01/27.38 Kept: 26775
% 27.01/27.38 Inuse: 1731
% 27.01/27.38 Deleted: 3895
% 27.01/27.38 Deletedinuse: 1030
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 1946160 integers for clauses
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 224830
% 27.01/27.38 Kept: 28800
% 27.01/27.38 Inuse: 1930
% 27.01/27.38 Deleted: 4374
% 27.01/27.38 Deletedinuse: 1035
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 236094
% 27.01/27.38 Kept: 30824
% 27.01/27.38 Inuse: 2036
% 27.01/27.38 Deleted: 4788
% 27.01/27.38 Deletedinuse: 1036
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 248741
% 27.01/27.38 Kept: 32826
% 27.01/27.38 Inuse: 2145
% 27.01/27.38 Deleted: 4986
% 27.01/27.38 Deletedinuse: 1036
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 259687
% 27.01/27.38 Kept: 34827
% 27.01/27.38 Inuse: 2244
% 27.01/27.38 Deleted: 4992
% 27.01/27.38 Deletedinuse: 1036
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 276016
% 27.01/27.38 Kept: 36831
% 27.01/27.38 Inuse: 2404
% 27.01/27.38 Deleted: 5038
% 27.01/27.38 Deletedinuse: 1036
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 864960 integers for termspace/termends
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 289005
% 27.01/27.38 Kept: 39077
% 27.01/27.38 Inuse: 2511
% 27.01/27.38 Deleted: 5048
% 27.01/27.38 Deletedinuse: 1036
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying clauses:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 303251
% 27.01/27.38 Kept: 41082
% 27.01/27.38 Inuse: 2621
% 27.01/27.38 Deleted: 18505
% 27.01/27.38 Deletedinuse: 1081
% 27.01/27.38
% 27.01/27.38 *** allocated 2919240 integers for clauses
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 319557
% 27.01/27.38 Kept: 43464
% 27.01/27.38 Inuse: 2684
% 27.01/27.38 Deleted: 18551
% 27.01/27.38 Deletedinuse: 1127
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 334305
% 27.01/27.38 Kept: 45652
% 27.01/27.38 Inuse: 2750
% 27.01/27.38 Deleted: 18555
% 27.01/27.38 Deletedinuse: 1127
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 353551
% 27.01/27.38 Kept: 47655
% 27.01/27.38 Inuse: 2831
% 27.01/27.38 Deleted: 18563
% 27.01/27.38 Deletedinuse: 1127
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 363292
% 27.01/27.38 Kept: 49762
% 27.01/27.38 Inuse: 2871
% 27.01/27.38 Deleted: 18589
% 27.01/27.38 Deletedinuse: 1127
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 391029
% 27.01/27.38 Kept: 51762
% 27.01/27.38 Inuse: 2992
% 27.01/27.38 Deleted: 18604
% 27.01/27.38 Deletedinuse: 1130
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 413258
% 27.01/27.38 Kept: 53778
% 27.01/27.38 Inuse: 3157
% 27.01/27.38 Deleted: 18613
% 27.01/27.38 Deletedinuse: 1139
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 432685
% 27.01/27.38 Kept: 55780
% 27.01/27.38 Inuse: 3303
% 27.01/27.38 Deleted: 18618
% 27.01/27.38 Deletedinuse: 1139
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 *** allocated 1297440 integers for termspace/termends
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 447464
% 27.01/27.38 Kept: 58585
% 27.01/27.38 Inuse: 3357
% 27.01/27.38 Deleted: 18620
% 27.01/27.38 Deletedinuse: 1139
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying inuse:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38 Resimplifying clauses:
% 27.01/27.38 Done
% 27.01/27.38
% 27.01/27.38
% 27.01/27.38 Intermediate Status:
% 27.01/27.38 Generated: 470311
% 27.01/27.38 Kept: 60613
% 27.01/27.38 Inuse: 3422
% 27.01/27.39 Deleted: 24304
% 27.01/27.39 Deletedinuse: 1465
% 27.01/27.39
% 27.01/27.39 Resimplifying inuse:
% 27.01/27.39 Done
% 27.01/27.39
% 27.01/27.39 *** allocated 4378860 integers for clauses
% 27.01/27.39 Resimplifying inuse:
% 27.01/27.39 Done
% 27.01/27.39
% 27.01/27.39
% 27.01/27.39 Intermediate Status:
% 27.01/27.39 Generated: 507045
% 27.01/27.39 Kept: 62628
% 27.01/27.39 Inuse: 3535
% 27.01/27.39 Deleted: 24408
% 27.01/27.39 Deletedinuse: 1562
% 27.01/27.39
% 27.01/27.39 Resimplifying inuse:
% 27.01/27.39 Done
% 27.01/27.39
% 27.01/27.39 Resimplifying inuse:
% 27.01/27.39 Done
% 27.01/27.39
% 27.01/27.39
% 27.01/27.39 Intermediate Status:
% 27.01/27.39 Generated: 526936
% 27.01/27.39 Kept: 64659
% 27.01/27.39 Inuse: 3635
% 27.01/27.39 Deleted: 25587
% 27.01/27.39 Deletedinuse: 2726
% 27.01/27.39
% 27.01/27.39 Resimplifying inuse:
% 27.01/27.39 Done
% 27.01/27.39
% 27.01/27.39
% 27.01/27.39 Bliksems!, er is een bewijs:
% 27.01/27.39 % SZS status Theorem
% 27.01/27.39 % SZS output start Refutation
% 27.01/27.39
% 27.01/27.39 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 27.01/27.39 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 27.01/27.39 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 27.01/27.39 , Z, X ) }.
% 27.01/27.39 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 27.01/27.39 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 27.01/27.39 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 27.01/27.39 para( X, Y, Z, T ) }.
% 27.01/27.39 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 27.01/27.39 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 27.01/27.39 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 27.01/27.39 para( X, Y, Z, T ) }.
% 27.01/27.39 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 27.01/27.39 perp( X, Y, Z, T ) }.
% 27.01/27.39 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 27.01/27.39 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 27.01/27.39 circle( T, X, Y, Z ) }.
% 27.01/27.39 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.01/27.39 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 27.01/27.39 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 27.01/27.39 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 27.01/27.39 V1 ) }.
% 27.01/27.39 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 27.01/27.39 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 27.01/27.39 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 27.01/27.39 cong( X, Y, Z, T ) }.
% 27.01/27.39 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 27.01/27.39 , T, U, W ) }.
% 27.01/27.39 (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 27.01/27.39 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 27.01/27.39 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 27.01/27.39 perp( X, Y, Z, T ) }.
% 27.01/27.39 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 27.01/27.39 , Z, Y, T ) }.
% 27.01/27.39 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 27.01/27.39 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 27.01/27.39 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 27.01/27.39 ( X, Y, Z ) }.
% 27.01/27.39 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 27.01/27.39 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 27.01/27.39 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 27.01/27.39 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 27.01/27.39 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 27.01/27.39 alpha1( X, Y, Z ) }.
% 27.01/27.39 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 27.01/27.39 , Z, X ) }.
% 27.01/27.39 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 27.01/27.39 , X, X, Y ) }.
% 27.01/27.39 (116) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol20, skol23, skol22 ) }.
% 27.01/27.39 (118) {G0,W5,D2,L1,V0,M1} I { cong( skol20, skol26, skol26, skol25 ) }.
% 27.01/27.39 (119) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol22, skol26 ) }.
% 27.01/27.39 (120) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol20, skol25 ) }.
% 27.01/27.39 (121) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23, skol24,
% 27.01/27.39 skol24, skol23, skol23, skol22 ) }.
% 27.01/27.39 (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 27.01/27.39 (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 27.01/27.39 ) }.
% 27.01/27.39 (134) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp( X, Z, Y, Y )
% 27.01/27.39 }.
% 27.01/27.39 (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 27.01/27.39 , midp( X, T, T ) }.
% 27.01/27.39 (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 27.01/27.39 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 27.01/27.39 (161) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol24, skol25, skol20 ) }.
% 27.01/27.39 (163) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol25, skol24, skol20 ) }.
% 27.01/27.39 (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 27.01/27.39 (167) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y, X, Z ) }.
% 27.01/27.39 (169) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol20, skol24, skol25 ) }.
% 27.01/27.39 (182) {G3,W8,D2,L2,V1,M2} R(2,163) { ! coll( skol25, skol24, X ), coll( X,
% 27.01/27.39 skol20, skol25 ) }.
% 27.01/27.39 (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T, Z, X ), !
% 27.01/27.39 coll( X, T, Y ) }.
% 27.01/27.39 (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 27.01/27.39 coll( Z, X, T ) }.
% 27.01/27.39 (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 27.01/27.39 (211) {G2,W8,D2,L2,V1,M2} R(169,2) { ! coll( skol20, skol24, X ), coll( X,
% 27.01/27.39 skol25, skol20 ) }.
% 27.01/27.39 (213) {G3,W4,D2,L1,V0,M1} R(200,169) { coll( skol25, skol20, skol25 ) }.
% 27.01/27.39 (217) {G3,W12,D2,L3,V4,M3} R(200,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 27.01/27.39 coll( X, Z, T ) }.
% 27.01/27.39 (222) {G3,W4,D2,L1,V0,M1} R(200,163) { coll( skol20, skol25, skol20 ) }.
% 27.01/27.39 (230) {G3,W4,D2,L1,V0,M1} R(200,119) { coll( skol26, skol24, skol26 ) }.
% 27.01/27.39 (231) {G3,W4,D2,L1,V0,M1} R(200,120) { coll( skol25, skol24, skol25 ) }.
% 27.01/27.39 (232) {G4,W8,D2,L2,V3,M2} F(217) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 27.01/27.39 (238) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para( Z, T, Y, X
% 27.01/27.39 ) }.
% 27.01/27.39 (239) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 27.01/27.39 ) }.
% 27.01/27.39 (248) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 27.01/27.39 ), ! para( X, Y, U, W ) }.
% 27.01/27.39 (254) {G2,W10,D2,L2,V4,M2} F(248) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 27.01/27.39 ) }.
% 27.01/27.39 (273) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol23, skol22, skol23, skol20 )
% 27.01/27.39 }.
% 27.01/27.39 (282) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 27.01/27.39 ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 (287) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 27.01/27.39 W ), para( U, W, X, Y ) }.
% 27.01/27.39 (288) {G1,W10,D2,L2,V2,M2} R(8,116) { ! perp( skol23, skol22, X, Y ), para
% 27.01/27.39 ( skol23, skol20, X, Y ) }.
% 27.01/27.39 (289) {G1,W10,D2,L2,V2,M2} R(8,116) { ! perp( X, Y, skol23, skol20 ), para
% 27.01/27.39 ( X, Y, skol23, skol22 ) }.
% 27.01/27.39 (292) {G2,W10,D2,L2,V4,M2} F(282) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 27.01/27.39 ) }.
% 27.01/27.39 (306) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp( X, Y, U, W
% 27.01/27.39 ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 (318) {G4,W4,D2,L1,V0,M1} R(222,0) { coll( skol20, skol20, skol25 ) }.
% 27.01/27.39 (336) {G4,W4,D2,L1,V0,M1} R(230,0) { coll( skol26, skol26, skol24 ) }.
% 27.01/27.39 (338) {G5,W8,D2,L2,V1,M2} R(336,2) { ! coll( skol26, skol26, X ), coll(
% 27.01/27.39 skol24, X, skol26 ) }.
% 27.01/27.39 (342) {G4,W4,D2,L1,V0,M1} R(231,0) { coll( skol25, skol25, skol24 ) }.
% 27.01/27.39 (346) {G5,W8,D2,L2,V1,M2} R(342,2) { ! coll( skol25, skol25, X ), coll(
% 27.01/27.39 skol24, X, skol25 ) }.
% 27.01/27.39 (351) {G2,W5,D2,L1,V0,M1} R(273,6) { perp( skol23, skol22, skol20, skol23 )
% 27.01/27.39 }.
% 27.01/27.39 (405) {G5,W8,D2,L2,V3,M2} R(232,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 27.01/27.39 (414) {G6,W8,D2,L2,V3,M2} R(405,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 27.01/27.39 (416) {G6,W8,D2,L2,V3,M2} R(405,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 27.01/27.39 (446) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 27.01/27.39 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0,
% 27.01/27.39 V1, V4, V5 ) }.
% 27.01/27.39 (456) {G7,W8,D2,L2,V3,M2} R(416,416) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 27.01/27.39 }.
% 27.01/27.39 (459) {G8,W12,D2,L3,V4,M3} R(456,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 27.01/27.39 , coll( T, Y, X ) }.
% 27.01/27.39 (460) {G9,W8,D2,L2,V3,M2} F(459) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 27.01/27.39 (462) {G10,W8,D2,L2,V3,M2} R(460,416) { coll( X, X, Y ), ! coll( X, Y, Z )
% 27.01/27.39 }.
% 27.01/27.39 (467) {G10,W8,D2,L2,V3,M2} R(460,414) { coll( X, X, Y ), ! coll( Z, X, Y )
% 27.01/27.39 }.
% 27.01/27.39 (481) {G1,W5,D2,L1,V0,M1} R(22,118) { cong( skol20, skol26, skol25, skol26
% 27.01/27.39 ) }.
% 27.01/27.39 (492) {G2,W5,D2,L1,V0,M1} R(23,481) { cong( skol25, skol26, skol20, skol26
% 27.01/27.39 ) }.
% 27.01/27.39 (504) {G3,W5,D2,L1,V0,M1} R(492,22) { cong( skol25, skol26, skol26, skol20
% 27.01/27.39 ) }.
% 27.01/27.39 (505) {G4,W5,D2,L1,V0,M1} R(504,23) { cong( skol26, skol20, skol25, skol26
% 27.01/27.39 ) }.
% 27.01/27.39 (506) {G5,W5,D2,L1,V0,M1} R(505,22) { cong( skol26, skol20, skol26, skol25
% 27.01/27.39 ) }.
% 27.01/27.39 (507) {G6,W5,D2,L1,V0,M1} R(506,23) { cong( skol26, skol25, skol26, skol20
% 27.01/27.39 ) }.
% 27.01/27.39 (525) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( U, W, Z,
% 27.01/27.39 T ), ! cong( X, Y, U, W ) }.
% 27.01/27.39 (542) {G2,W10,D2,L2,V4,M2} F(525) { ! cong( X, Y, Z, T ), cong( Z, T, Z, T
% 27.01/27.39 ) }.
% 27.01/27.39 (598) {G6,W8,D2,L2,V2,M2} R(346,122) { coll( skol24, X, skol25 ), ! coll( X
% 27.01/27.39 , Y, skol25 ) }.
% 27.01/27.39 (626) {G7,W8,D2,L2,V2,M2} R(598,166) { ! coll( X, Y, skol25 ), coll( X,
% 27.01/27.39 skol25, skol24 ) }.
% 27.01/27.39 (649) {G11,W8,D2,L2,V2,M2} R(626,462) { coll( X, skol25, skol24 ), ! coll(
% 27.01/27.39 X, skol25, Y ) }.
% 27.01/27.39 (788) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 27.01/27.39 Z, T, U, W, U, W ) }.
% 27.01/27.39 (790) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 27.01/27.39 X, Y, U, W, Z, T ) }.
% 27.01/27.39 (1561) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 27.01/27.39 , T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 27.01/27.39 (1562) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 27.01/27.39 , T ), perp( Y, T, X, Z ) }.
% 27.01/27.39 (1564) {G2,W15,D2,L3,V5,M3} F(1561) { ! cong( X, Y, Z, Y ), ! perp( T, U, X
% 27.01/27.39 , Z ), para( T, U, Y, Y ) }.
% 27.01/27.39 (1714) {G12,W12,D2,L3,V3,M3} R(649,2) { ! coll( X, skol25, Y ), ! coll( X,
% 27.01/27.39 skol25, Z ), coll( skol24, Z, X ) }.
% 27.01/27.39 (1717) {G13,W8,D2,L2,V2,M2} F(1714) { ! coll( X, skol25, Y ), coll( skol24
% 27.01/27.39 , Y, X ) }.
% 27.01/27.39 (1745) {G14,W8,D2,L2,V2,M2} R(1717,166) { coll( skol24, X, Y ), ! coll( X,
% 27.01/27.39 Y, skol25 ) }.
% 27.01/27.39 (1805) {G15,W8,D2,L2,V2,M2} R(1745,1) { ! coll( X, Y, skol25 ), coll( X,
% 27.01/27.39 skol24, Y ) }.
% 27.01/27.39 (1821) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), ! midp( X, T, U )
% 27.01/27.39 , ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U ) }.
% 27.01/27.39 (1829) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 27.01/27.39 ), ! midp( X, U, T ) }.
% 27.01/27.39 (1830) {G2,W9,D2,L2,V3,M2} F(1829) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 (1837) {G2,W12,D2,L3,V4,M3} F(1821);r(167) { ! midp( X, X, Y ), ! midp( X,
% 27.01/27.39 Z, T ), midp( Z, X, T ) }.
% 27.01/27.39 (2859) {G6,W8,D2,L2,V2,M2} R(338,122) { coll( skol24, X, skol26 ), ! coll(
% 27.01/27.39 X, Y, skol26 ) }.
% 27.01/27.39 (2890) {G7,W8,D2,L2,V2,M2} R(2859,166) { ! coll( X, Y, skol26 ), coll( X,
% 27.01/27.39 skol26, skol24 ) }.
% 27.01/27.39 (2978) {G8,W8,D2,L2,V2,M2} R(2890,122) { coll( X, skol26, skol24 ), ! coll
% 27.01/27.39 ( skol26, Y, X ) }.
% 27.01/27.39 (6898) {G6,W5,D2,L1,V0,M1} R(124,506) { circle( skol26, skol20, skol25,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 (6906) {G7,W7,D3,L1,V0,M1} R(6898,100) { perp( skol12( skol20, skol26 ),
% 27.01/27.39 skol20, skol20, skol26 ) }.
% 27.01/27.39 (7128) {G3,W5,D2,L1,V0,M1} R(134,492) { perp( skol25, skol20, skol26,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 (7224) {G8,W7,D3,L1,V0,M1} R(6906,7) { perp( skol20, skol26, skol12( skol20
% 27.01/27.39 , skol26 ), skol20 ) }.
% 27.01/27.39 (7235) {G9,W7,D3,L1,V0,M1} R(7224,6) { perp( skol20, skol26, skol20, skol12
% 27.01/27.39 ( skol20, skol26 ) ) }.
% 27.01/27.39 (7245) {G10,W7,D3,L1,V0,M1} R(7235,7) { perp( skol20, skol12( skol20,
% 27.01/27.39 skol26 ), skol20, skol26 ) }.
% 27.01/27.39 (7251) {G11,W4,D2,L1,V0,M1} R(7245,96);r(7245) { alpha1( skol20, skol20,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 (7261) {G12,W7,D3,L1,V1,M1} R(7251,97) { coll( skol11( skol20, X, skol26 )
% 27.01/27.39 , skol26, skol20 ) }.
% 27.01/27.39 (7277) {G13,W4,D2,L1,V0,M1} R(7261,467) { coll( skol26, skol26, skol20 )
% 27.01/27.39 }.
% 27.01/27.39 (7357) {G14,W4,D2,L1,V0,M1} R(7277,2978) { coll( skol20, skol26, skol24 )
% 27.01/27.39 }.
% 27.01/27.39 (7378) {G15,W4,D2,L1,V0,M1} R(7357,0) { coll( skol20, skol24, skol26 ) }.
% 27.01/27.39 (9467) {G16,W8,D2,L2,V1,M2} R(182,1805) { coll( X, skol20, skol25 ), ! coll
% 27.01/27.39 ( skol25, X, skol25 ) }.
% 27.01/27.39 (11550) {G5,W8,D2,L2,V1,M2} R(191,318) { coll( X, skol25, skol20 ), ! coll
% 27.01/27.39 ( skol20, X, skol20 ) }.
% 27.01/27.39 (14784) {G16,W4,D2,L1,V0,M1} R(211,7378) { coll( skol26, skol25, skol20 )
% 27.01/27.39 }.
% 27.01/27.39 (14816) {G17,W4,D2,L1,V0,M1} R(14784,67);r(507) { midp( skol26, skol25,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 (14826) {G18,W10,D3,L2,V1,M2} R(14816,144);r(11550) { ! coll( skol20,
% 27.01/27.39 skol25, skol20 ), midp( skol7( skol25, X ), skol25, X ) }.
% 27.01/27.39 (14851) {G18,W4,D2,L1,V0,M1} R(14816,10) { midp( skol26, skol20, skol25 )
% 27.01/27.39 }.
% 27.01/27.39 (14853) {G19,W10,D3,L2,V1,M2} R(14851,144);r(9467) { ! coll( skol25, skol20
% 27.01/27.39 , skol25 ), midp( skol7( skol20, X ), skol20, X ) }.
% 27.01/27.39 (17838) {G3,W5,D2,L1,V0,M1} R(288,351) { para( skol23, skol20, skol20,
% 27.01/27.39 skol23 ) }.
% 27.01/27.39 (17842) {G4,W5,D2,L1,V0,M1} R(17838,254) { para( skol20, skol23, skol20,
% 27.01/27.39 skol23 ) }.
% 27.01/27.39 (17855) {G5,W8,D2,L2,V1,M2} R(17842,138) { ! midp( X, skol20, skol20 ),
% 27.01/27.39 midp( X, skol23, skol23 ) }.
% 27.01/27.39 (17895) {G2,W5,D2,L1,V0,M1} R(289,273) { para( skol23, skol22, skol23,
% 27.01/27.39 skol22 ) }.
% 27.01/27.39 (17925) {G3,W8,D2,L2,V1,M2} R(17895,138) { ! midp( X, skol23, skol23 ),
% 27.01/27.39 midp( X, skol22, skol22 ) }.
% 27.01/27.39 (18012) {G4,W5,D2,L1,V0,M1} R(292,7128) { para( skol25, skol20, skol25,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 (18122) {G5,W8,D2,L2,V1,M2} R(18012,138) { ! midp( X, skol25, skol25 ),
% 27.01/27.39 midp( X, skol20, skol20 ) }.
% 27.01/27.39 (20006) {G20,W6,D3,L1,V1,M1} S(14853);r(213) { midp( skol7( skol20, X ),
% 27.01/27.39 skol20, X ) }.
% 27.01/27.39 (20007) {G19,W6,D3,L1,V1,M1} S(14826);r(222) { midp( skol7( skol25, X ),
% 27.01/27.39 skol25, X ) }.
% 27.01/27.39 (20488) {G21,W6,D3,L1,V1,M1} R(20006,10) { midp( skol7( skol20, X ), X,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 (20808) {G20,W6,D3,L1,V1,M1} R(20007,10) { midp( skol7( skol25, X ), X,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 (23825) {G21,W6,D3,L1,V0,M1} R(18122,20808) { midp( skol7( skol25, skol25 )
% 27.01/27.39 , skol20, skol20 ) }.
% 27.01/27.39 (28313) {G22,W6,D3,L1,V0,M1} R(17855,23825) { midp( skol7( skol25, skol25 )
% 27.01/27.39 , skol23, skol23 ) }.
% 27.01/27.39 (28328) {G23,W6,D3,L1,V0,M1} R(28313,17925) { midp( skol7( skol25, skol25 )
% 27.01/27.39 , skol22, skol22 ) }.
% 27.01/27.39 (58930) {G22,W5,D2,L1,V1,M1} R(1830,20488) { para( X, skol20, skol20, X )
% 27.01/27.39 }.
% 27.01/27.39 (58965) {G23,W5,D2,L1,V1,M1} R(58930,239) { para( skol20, X, skol20, X )
% 27.01/27.39 }.
% 27.01/27.39 (58966) {G23,W5,D2,L1,V1,M1} R(58930,238) { para( X, skol20, X, skol20 )
% 27.01/27.39 }.
% 27.01/27.39 (58974) {G24,W8,D2,L2,V2,M2} R(58966,138) { ! midp( X, Y, Y ), midp( X,
% 27.01/27.39 skol20, skol20 ) }.
% 27.01/27.39 (59057) {G25,W8,D2,L2,V3,M2} R(58974,138);r(58965) { ! midp( X, Y, Y ),
% 27.01/27.39 midp( X, Z, Z ) }.
% 27.01/27.39 (59126) {G26,W6,D3,L1,V1,M1} R(59057,28328) { midp( skol7( skol25, skol25 )
% 27.01/27.39 , X, X ) }.
% 27.01/27.39 (59732) {G26,W12,D2,L3,V4,M3} R(1837,59057) { ! midp( X, Y, Z ), midp( Y, X
% 27.01/27.39 , Z ), ! midp( X, T, T ) }.
% 27.01/27.39 (59910) {G27,W8,D2,L2,V2,M2} F(59732) { ! midp( X, Y, Y ), midp( Y, X, Y )
% 27.01/27.39 }.
% 27.01/27.39 (59921) {G28,W6,D3,L1,V1,M1} R(59910,59126) { midp( X, skol7( skol25,
% 27.01/27.39 skol25 ), X ) }.
% 27.01/27.39 (60026) {G29,W6,D3,L1,V1,M1} R(59921,10) { midp( X, X, skol7( skol25,
% 27.01/27.39 skol25 ) ) }.
% 27.01/27.39 (60027) {G30,W8,D2,L2,V3,M2} R(60026,1837) { ! midp( X, Y, Z ), midp( Y, X
% 27.01/27.39 , Z ) }.
% 27.01/27.39 (62169) {G31,W6,D3,L1,V1,M1} R(60027,20006) { midp( skol20, skol7( skol20,
% 27.01/27.39 X ), X ) }.
% 27.01/27.39 (62541) {G32,W7,D3,L1,V1,M1} R(62169,68) { cong( skol20, skol7( skol20, X )
% 27.01/27.39 , skol20, X ) }.
% 27.01/27.39 (62573) {G33,W5,D2,L1,V1,M1} R(62541,542) { cong( skol20, X, skol20, X )
% 27.01/27.39 }.
% 27.01/27.39 (62660) {G34,W5,D2,L1,V2,M1} R(62573,1562);r(62573) { perp( Y, X, skol20,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 (62705) {G35,W5,D2,L1,V3,M1} R(62660,1564);r(62573) { para( Y, Z, X, X )
% 27.01/27.39 }.
% 27.01/27.39 (62726) {G36,W5,D2,L1,V4,M1} R(62660,306);r(62705) { perp( X, Y, Z, T ) }.
% 27.01/27.39 (62728) {G37,W5,D2,L1,V4,M1} R(62660,287);r(62726) { para( X, Y, Z, T ) }.
% 27.01/27.39 (62773) {G38,W9,D2,L1,V6,M1} R(62728,790) { eqangle( X, Y, Z, T, X, Y, U, W
% 27.01/27.39 ) }.
% 27.01/27.39 (62774) {G38,W9,D2,L1,V6,M1} R(62728,788) { eqangle( X, Y, Z, T, U, W, U, W
% 27.01/27.39 ) }.
% 27.01/27.39 (65658) {G39,W9,D2,L1,V8,M1} R(62773,446);r(62774) { eqangle( X, Y, Z, T,
% 27.01/27.39 V0, V1, V2, V3 ) }.
% 27.01/27.39 (65663) {G40,W0,D0,L0,V0,M0} R(65658,121) { }.
% 27.01/27.39
% 27.01/27.39
% 27.01/27.39 % SZS output end Refutation
% 27.01/27.39 found a proof!
% 27.01/27.39
% 27.01/27.39
% 27.01/27.39 Unprocessed initial clauses:
% 27.01/27.39
% 27.01/27.39 (65665) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 27.01/27.39 (65666) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 27.01/27.39 (65667) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 27.01/27.39 ( Y, Z, X ) }.
% 27.01/27.39 (65668) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 27.01/27.39 }.
% 27.01/27.39 (65669) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 27.01/27.39 }.
% 27.01/27.39 (65670) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 27.01/27.39 , para( X, Y, Z, T ) }.
% 27.01/27.39 (65671) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 27.01/27.39 }.
% 27.01/27.39 (65672) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 27.01/27.39 }.
% 27.01/27.39 (65673) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 27.01/27.39 , para( X, Y, Z, T ) }.
% 27.01/27.39 (65674) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 27.01/27.39 , perp( X, Y, Z, T ) }.
% 27.01/27.39 (65675) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 27.01/27.39 (65676) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 27.01/27.39 , circle( T, X, Y, Z ) }.
% 27.01/27.39 (65677) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 27.01/27.39 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 27.01/27.39 (65678) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 27.01/27.39 ) }.
% 27.01/27.39 (65679) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 27.01/27.39 ) }.
% 27.01/27.39 (65680) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 27.01/27.39 ) }.
% 27.01/27.39 (65681) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 27.01/27.39 T ), cyclic( X, Y, Z, T ) }.
% 27.01/27.39 (65682) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 27.01/27.39 (65683) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.01/27.39 (65684) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 27.01/27.39 (65685) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 27.01/27.39 (65686) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 27.01/27.39 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 27.01/27.39 V1 ) }.
% 27.01/27.39 (65687) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 27.01/27.39 }.
% 27.01/27.39 (65688) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 27.01/27.39 }.
% 27.01/27.39 (65689) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 27.01/27.39 , cong( X, Y, Z, T ) }.
% 27.01/27.39 (65690) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 27.01/27.39 (65691) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 27.01/27.39 (65692) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 27.01/27.39 (65693) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 27.01/27.39 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 27.01/27.39 (65694) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 27.01/27.39 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 27.01/27.39 V1 ) }.
% 27.01/27.39 (65695) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 27.01/27.39 , Z, T, U, W ) }.
% 27.01/27.39 (65696) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 27.01/27.39 , Z, T, U, W ) }.
% 27.01/27.39 (65697) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 27.01/27.39 , Z, T, U, W ) }.
% 27.01/27.39 (65698) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 27.01/27.39 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 27.01/27.39 (65699) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 27.01/27.39 , Z, T, U, W ) }.
% 27.01/27.39 (65700) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 27.01/27.39 , Z, T, U, W ) }.
% 27.01/27.39 (65701) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 27.01/27.39 , Z, T, U, W ) }.
% 27.01/27.39 (65702) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 27.01/27.39 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 27.01/27.39 (65703) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 27.01/27.39 X, Y, Z, T ) }.
% 27.01/27.39 (65704) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 27.01/27.39 Z, T, U, W ) }.
% 27.01/27.39 (65705) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 27.01/27.39 , T, X, T, Y ) }.
% 27.01/27.39 (65706) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 27.01/27.39 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 27.01/27.39 (65707) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 27.01/27.39 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 27.01/27.39 (65708) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 27.01/27.39 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 27.01/27.39 , Y, Z, T ) }.
% 27.01/27.39 (65709) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 27.01/27.39 ( Z, T, X, Y ) }.
% 27.01/27.39 (65710) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 27.01/27.39 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 27.01/27.39 (65711) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 27.01/27.39 X, Y, Z, Y ) }.
% 27.01/27.39 (65712) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 27.01/27.39 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 27.01/27.39 (65713) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 27.01/27.39 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 27.01/27.39 (65714) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 27.01/27.39 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 27.01/27.39 (65715) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 27.01/27.39 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 27.01/27.39 (65716) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 27.01/27.39 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 27.01/27.39 (65717) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 27.01/27.39 cong( X, Z, Y, Z ) }.
% 27.01/27.39 (65718) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 27.01/27.39 perp( X, Y, Y, Z ) }.
% 27.01/27.39 (65719) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 27.01/27.39 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 27.01/27.39 (65720) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 27.01/27.39 cong( Z, X, Z, Y ) }.
% 27.01/27.39 (65721) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 27.01/27.39 , perp( X, Y, Z, T ) }.
% 27.01/27.39 (65722) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 27.01/27.39 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 27.01/27.39 (65723) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 27.01/27.39 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 27.01/27.39 , W ) }.
% 27.01/27.39 (65724) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 27.01/27.39 , X, Z, T, U, T, W ) }.
% 27.01/27.39 (65725) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 27.01/27.39 , Y, Z, T, U, U, W ) }.
% 27.01/27.39 (65726) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 27.01/27.39 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 27.01/27.39 (65727) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 27.01/27.39 , T ) }.
% 27.01/27.39 (65728) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 27.01/27.39 ( X, Z, Y, T ) }.
% 27.01/27.39 (65729) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 27.01/27.39 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 27.01/27.39 (65730) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 27.01/27.39 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 27.01/27.39 (65731) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 27.01/27.39 (65732) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 27.01/27.39 midp( X, Y, Z ) }.
% 27.01/27.39 (65733) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 27.01/27.39 (65734) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 27.01/27.39 (65735) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 27.01/27.39 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 27.01/27.39 (65736) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 27.01/27.39 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 27.01/27.39 (65737) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 27.01/27.39 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 (65738) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 27.01/27.39 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 27.01/27.39 (65739) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 27.01/27.39 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 27.01/27.39 (65740) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 27.01/27.39 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 27.01/27.39 (65741) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 27.01/27.39 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 27.01/27.39 (65742) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 27.01/27.39 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 27.01/27.39 (65743) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 27.01/27.39 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 27.01/27.39 (65744) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 27.01/27.39 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 27.01/27.39 (65745) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 27.01/27.39 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 27.01/27.39 (65746) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 27.01/27.39 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 27.01/27.39 (65747) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 27.01/27.39 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 27.01/27.39 (65748) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 27.01/27.39 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 27.01/27.39 (65749) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 27.01/27.39 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 27.01/27.39 (65750) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 27.01/27.39 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 27.01/27.39 , T ) ) }.
% 27.01/27.39 (65751) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 27.01/27.39 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 27.01/27.39 (65752) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 27.01/27.39 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 27.01/27.39 (65753) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 27.01/27.39 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 27.01/27.39 (65754) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 27.01/27.39 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 27.01/27.39 (65755) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 27.01/27.39 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 27.01/27.39 ) }.
% 27.01/27.39 (65756) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 27.01/27.39 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 27.01/27.39 }.
% 27.01/27.39 (65757) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 27.01/27.39 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 27.01/27.39 (65758) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 27.01/27.39 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 27.01/27.39 (65759) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 27.01/27.39 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 27.01/27.39 (65760) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 27.01/27.39 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 27.01/27.39 (65761) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 27.01/27.39 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 27.01/27.39 (65762) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 27.01/27.39 , alpha1( X, Y, Z ) }.
% 27.01/27.39 (65763) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 27.01/27.39 ), Z, X ) }.
% 27.01/27.39 (65764) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 27.01/27.39 , Z ), Z, X ) }.
% 27.01/27.39 (65765) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 27.01/27.39 alpha1( X, Y, Z ) }.
% 27.01/27.39 (65766) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 27.01/27.39 ), X, X, Y ) }.
% 27.01/27.39 (65767) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 27.01/27.39 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 27.01/27.39 ) ) }.
% 27.01/27.39 (65768) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 27.01/27.39 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 27.01/27.39 (65769) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 27.01/27.39 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 27.01/27.39 }.
% 27.01/27.39 (65770) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 27.01/27.39 (65771) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 27.01/27.39 }.
% 27.01/27.39 (65772) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 27.01/27.39 alpha2( X, Y, Z, T ) }.
% 27.01/27.39 (65773) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 27.01/27.39 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 27.01/27.39 (65774) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 27.01/27.39 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 27.01/27.39 (65775) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 27.01/27.39 coll( skol16( W, Y, Z ), Y, Z ) }.
% 27.01/27.39 (65776) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 27.01/27.39 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 27.01/27.39 (65777) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 27.01/27.39 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 27.01/27.39 (65778) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 27.01/27.39 , coll( X, Y, skol18( X, Y ) ) }.
% 27.01/27.39 (65779) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 27.01/27.39 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 27.01/27.39 (65780) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 27.01/27.39 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 27.01/27.39 }.
% 27.01/27.39 (65781) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 27.01/27.39 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 27.01/27.39 }.
% 27.01/27.39 (65782) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol23, skol22 ) }.
% 27.01/27.39 (65783) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol20, skol20, skol26,
% 27.01/27.39 skol20, skol26, skol26, skol25 ) }.
% 27.01/27.39 (65784) {G0,W5,D2,L1,V0,M1} { cong( skol20, skol26, skol26, skol25 ) }.
% 27.01/27.39 (65785) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol26 ) }.
% 27.01/27.39 (65786) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol25 ) }.
% 27.01/27.39 (65787) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23, skol24,
% 27.01/27.39 skol24, skol23, skol23, skol22 ) }.
% 27.01/27.39
% 27.01/27.39
% 27.01/27.39 Total Proof:
% 27.01/27.39
% 27.01/27.39 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 parent0: (65665) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 parent0: (65666) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 27.01/27.39 Z ), coll( Y, Z, X ) }.
% 27.01/27.39 parent0: (65667) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 27.01/27.39 , T, Z ) }.
% 27.01/27.39 parent0: (65668) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 27.01/27.39 T, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 27.01/27.39 , X, Y ) }.
% 27.01/27.39 parent0: (65669) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 27.01/27.39 W, Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 parent0: (65670) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 27.01/27.39 , Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 27.01/27.39 , T, Z ) }.
% 27.01/27.39 parent0: (65671) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 27.01/27.39 T, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 27.01/27.39 , X, Y ) }.
% 27.01/27.39 parent0: (65672) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 27.01/27.39 W, Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 parent0: (65673) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 27.01/27.39 , Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 27.01/27.39 W, Z, T ), perp( X, Y, Z, T ) }.
% 27.01/27.39 parent0: (65674) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 27.01/27.39 , Z, T ), perp( X, Y, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 27.01/27.39 ) }.
% 27.01/27.39 parent0: (65675) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 27.01/27.39 , X, T, Z ), circle( T, X, Y, Z ) }.
% 27.01/27.39 parent0: (65676) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 27.01/27.39 , T, Z ), circle( T, X, Y, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 27.01/27.39 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.01/27.39 parent0: (65683) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.01/27.39 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 V0 := V0
% 27.01/27.39 V1 := V1
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 27.01/27.39 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 27.01/27.39 parent0: (65685) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.01/27.39 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 V0 := V0
% 27.01/27.39 V1 := V1
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 27.01/27.39 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 27.01/27.39 , U, W, V0, V1 ) }.
% 27.01/27.39 parent0: (65686) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 27.01/27.39 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 27.01/27.39 , W, V0, V1 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 V0 := V0
% 27.01/27.39 V1 := V1
% 27.01/27.39 V2 := V2
% 27.01/27.39 V3 := V3
% 27.01/27.39 V4 := V4
% 27.01/27.39 V5 := V5
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 27.01/27.39 , T, Z ) }.
% 27.01/27.39 parent0: (65687) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 27.01/27.39 T, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 27.01/27.39 , X, Y ) }.
% 27.01/27.39 parent0: (65688) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 27.01/27.39 , W, Z, T ), cong( X, Y, Z, T ) }.
% 27.01/27.39 parent0: (65689) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 27.01/27.39 , Z, T ), cong( X, Y, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 27.01/27.39 , Y, U, W, Z, T, U, W ) }.
% 27.01/27.39 parent0: (65704) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 27.01/27.39 Y, U, W, Z, T, U, W ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z
% 27.01/27.39 , T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 27.01/27.39 parent0: (65710) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T
% 27.01/27.39 , Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 3 ==> 3
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 27.01/27.39 , T, Y, T ), perp( X, Y, Z, T ) }.
% 27.01/27.39 parent0: (65721) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 27.01/27.39 , Y, T ), perp( X, Y, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 27.01/27.39 , T ), para( X, Z, Y, T ) }.
% 27.01/27.39 parent0: (65728) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 27.01/27.39 ), para( X, Z, Y, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 27.01/27.39 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 27.01/27.39 parent0: (65729) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 27.01/27.39 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 3 ==> 3
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 27.01/27.39 , Y, Z ), midp( X, Y, Z ) }.
% 27.01/27.39 parent0: (65732) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 27.01/27.39 , Z ), midp( X, Y, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 27.01/27.39 , Z ) }.
% 27.01/27.39 parent0: (65733) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 27.01/27.39 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 27.01/27.39 ) }.
% 27.01/27.39 parent0: (65734) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 27.01/27.39 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 27.01/27.39 ) }.
% 27.01/27.39 parent0: (65754) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 27.01/27.39 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 V0 := V0
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 3 ==> 3
% 27.01/27.39 4 ==> 4
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 27.01/27.39 , T, X, Z ), alpha1( X, Y, Z ) }.
% 27.01/27.39 parent0: (65762) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 27.01/27.39 , X, Z ), alpha1( X, Y, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 27.01/27.39 skol11( X, T, Z ), Z, X ) }.
% 27.01/27.39 parent0: (65763) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 27.01/27.39 ( X, T, Z ), Z, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 27.01/27.39 skol12( X, Y ), X, X, Y ) }.
% 27.01/27.39 parent0: (65766) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 27.01/27.39 skol12( X, Y ), X, X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol20, skol23,
% 27.01/27.39 skol22 ) }.
% 27.01/27.39 parent0: (65782) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol23,
% 27.01/27.39 skol22 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (118) {G0,W5,D2,L1,V0,M1} I { cong( skol20, skol26, skol26,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 parent0: (65784) {G0,W5,D2,L1,V0,M1} { cong( skol20, skol26, skol26,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol22, skol26 )
% 27.01/27.39 }.
% 27.01/27.39 parent0: (65785) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol20, skol25 )
% 27.01/27.39 }.
% 27.01/27.39 parent0: (65786) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (121) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23,
% 27.01/27.39 skol23, skol24, skol24, skol23, skol23, skol22 ) }.
% 27.01/27.39 parent0: (65787) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23,
% 27.01/27.39 skol24, skol24, skol23, skol23, skol22 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66447) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 27.01/27.39 , Z ), coll( Y, Z, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := Z
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 27.01/27.39 , X ) }.
% 27.01/27.39 parent0: (66447) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66448) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 27.01/27.39 , Z, Z ) }.
% 27.01/27.39 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 27.01/27.39 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := Z
% 27.01/27.39 T := X
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 27.01/27.39 circle( X, Y, Z, Z ) }.
% 27.01/27.39 parent0: (66448) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 27.01/27.39 , Z, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66449) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z, Y
% 27.01/27.39 , Y ) }.
% 27.01/27.39 parent0[0, 1]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong(
% 27.01/27.39 X, T, Y, T ), perp( X, Y, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := Y
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (134) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp
% 27.01/27.39 ( X, Z, Y, Y ) }.
% 27.01/27.39 parent0: (66449) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z,
% 27.01/27.39 Y, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66450) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 27.01/27.39 , T ), midp( X, T, T ) }.
% 27.01/27.39 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 27.01/27.39 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := T
% 27.01/27.39 Y := T
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 U := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 27.01/27.39 Y, T, Z, T ), midp( X, T, T ) }.
% 27.01/27.39 parent0: (66450) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 27.01/27.39 , T ), midp( X, T, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66451) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 27.01/27.39 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 27.01/27.39 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 27.01/27.39 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 27.01/27.39 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 U := Z
% 27.01/27.39 W := X
% 27.01/27.39 V0 := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 27.01/27.39 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 27.01/27.39 parent0: (66451) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 27.01/27.39 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 3 ==> 3
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66454) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol20 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol20, skol25 )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol24
% 27.01/27.39 Y := skol20
% 27.01/27.39 Z := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (161) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol24, skol25,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 parent0: (66454) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66455) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol20 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 parent1[0]: (161) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol24, skol25,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol24
% 27.01/27.39 Y := skol25
% 27.01/27.39 Z := skol20
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (163) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol25, skol24,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 parent0: (66455) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66457) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 27.01/27.39 ) }.
% 27.01/27.39 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := X
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 27.01/27.39 , Z, X ) }.
% 27.01/27.39 parent0: (66457) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := X
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 1
% 27.01/27.39 1 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66458) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 27.01/27.39 ) }.
% 27.01/27.39 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (167) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y
% 27.01/27.39 , X, Z ) }.
% 27.01/27.39 parent0: (66458) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := X
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66459) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol25 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol20, skol25 )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol24
% 27.01/27.39 Y := skol20
% 27.01/27.39 Z := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (169) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol20, skol24,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 parent0: (66459) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66461) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol24, X ),
% 27.01/27.39 coll( X, skol20, skol25 ) }.
% 27.01/27.39 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 parent1[0]: (163) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol25, skol24,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol25
% 27.01/27.39 Y := X
% 27.01/27.39 Z := skol20
% 27.01/27.39 T := skol24
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (182) {G3,W8,D2,L2,V1,M2} R(2,163) { ! coll( skol25, skol24, X
% 27.01/27.39 ), coll( X, skol20, skol25 ) }.
% 27.01/27.39 parent0: (66461) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol24, X ), coll(
% 27.01/27.39 X, skol20, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66462) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, T ), coll( Z, T,
% 27.01/27.39 X ), ! coll( X, Z, Y ) }.
% 27.01/27.39 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := T
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T
% 27.01/27.39 , Z, X ), ! coll( X, T, Y ) }.
% 27.01/27.39 parent0: (66462) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, T ), coll( Z, T, X )
% 27.01/27.39 , ! coll( X, Z, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := T
% 27.01/27.39 T := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66468) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 27.01/27.39 X ), ! coll( Z, T, Y ) }.
% 27.01/27.39 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Z
% 27.01/27.39 Y := X
% 27.01/27.39 Z := Y
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 27.01/27.39 ( X, Y, T ), coll( Z, X, T ) }.
% 27.01/27.39 parent0: (66468) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 27.01/27.39 , ! coll( Z, T, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Z
% 27.01/27.39 Y := T
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 2
% 27.01/27.39 1 ==> 0
% 27.01/27.39 2 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66470) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0, 1]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 27.01/27.39 coll( X, Y, T ), coll( Z, X, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z
% 27.01/27.39 , X, Z ) }.
% 27.01/27.39 parent0: (66470) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66472) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol24, X ),
% 27.01/27.39 coll( X, skol25, skol20 ) }.
% 27.01/27.39 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 parent1[0]: (169) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol20, skol24,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol20
% 27.01/27.39 Y := X
% 27.01/27.39 Z := skol25
% 27.01/27.39 T := skol24
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (211) {G2,W8,D2,L2,V1,M2} R(169,2) { ! coll( skol20, skol24, X
% 27.01/27.39 ), coll( X, skol25, skol20 ) }.
% 27.01/27.39 parent0: (66472) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol24, X ), coll(
% 27.01/27.39 X, skol25, skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66473) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 27.01/27.39 X, Z ) }.
% 27.01/27.39 parent1[0]: (169) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol20, skol24,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol20
% 27.01/27.39 Y := skol24
% 27.01/27.39 Z := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (213) {G3,W4,D2,L1,V0,M1} R(200,169) { coll( skol25, skol20,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 parent0: (66473) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66474) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 27.01/27.39 X ), ! coll( Z, T, Y ) }.
% 27.01/27.39 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 27.01/27.39 X, Z ) }.
% 27.01/27.39 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Z
% 27.01/27.39 Y := X
% 27.01/27.39 Z := Y
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (217) {G3,W12,D2,L3,V4,M3} R(200,2) { coll( X, Y, X ), ! coll
% 27.01/27.39 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 27.01/27.39 parent0: (66474) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 27.01/27.39 , ! coll( Z, T, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := X
% 27.01/27.39 T := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66476) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol20 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 27.01/27.39 X, Z ) }.
% 27.01/27.39 parent1[0]: (163) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol25, skol24,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol25
% 27.01/27.39 Y := skol24
% 27.01/27.39 Z := skol20
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (222) {G3,W4,D2,L1,V0,M1} R(200,163) { coll( skol20, skol25,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 parent0: (66476) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66477) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol26 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 27.01/27.39 X, Z ) }.
% 27.01/27.39 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol22, skol26 )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol24
% 27.01/27.39 Y := skol22
% 27.01/27.39 Z := skol26
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (230) {G3,W4,D2,L1,V0,M1} R(200,119) { coll( skol26, skol24,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 parent0: (66477) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66478) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol25 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 27.01/27.39 X, Z ) }.
% 27.01/27.39 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol20, skol25 )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol24
% 27.01/27.39 Y := skol20
% 27.01/27.39 Z := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (231) {G3,W4,D2,L1,V0,M1} R(200,120) { coll( skol25, skol24,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 parent0: (66478) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66479) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 parent0[1, 2]: (217) {G3,W12,D2,L3,V4,M3} R(200,2) { coll( X, Y, X ), !
% 27.01/27.39 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (232) {G4,W8,D2,L2,V3,M2} F(217) { coll( X, Y, X ), ! coll( X
% 27.01/27.39 , Z, Y ) }.
% 27.01/27.39 parent0: (66479) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66480) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X,
% 27.01/27.39 Y, T, Z ) }.
% 27.01/27.39 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 27.01/27.39 T, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := T
% 27.01/27.39 T := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (238) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 27.01/27.39 ( Z, T, Y, X ) }.
% 27.01/27.39 parent0: (66480) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X, Y,
% 27.01/27.39 T, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Z
% 27.01/27.39 Y := T
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66482) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 27.01/27.39 T, X, Y ) }.
% 27.01/27.39 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 27.01/27.39 T, Z ) }.
% 27.01/27.39 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Z
% 27.01/27.39 Y := T
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (239) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 27.01/27.39 ( Z, T, Y, X ) }.
% 27.01/27.39 parent0: (66482) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Z
% 27.01/27.39 Y := T
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 1
% 27.01/27.39 1 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66483) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 27.01/27.39 Y, U, W ), ! para( Z, T, X, Y ) }.
% 27.01/27.39 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 27.01/27.39 , Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Z
% 27.01/27.39 Y := T
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (248) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 27.01/27.39 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 27.01/27.39 parent0: (66483) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 27.01/27.39 U, W ), ! para( Z, T, X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := U
% 27.01/27.39 Y := W
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66487) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 27.01/27.39 , T ) }.
% 27.01/27.39 parent0[0, 2]: (248) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 27.01/27.39 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (254) {G2,W10,D2,L2,V4,M2} F(248) { ! para( X, Y, Z, T ), para
% 27.01/27.39 ( Z, T, Z, T ) }.
% 27.01/27.39 parent0: (66487) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 27.01/27.39 Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66488) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol23,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol20, skol23,
% 27.01/27.39 skol22 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol23
% 27.01/27.39 Y := skol20
% 27.01/27.39 Z := skol23
% 27.01/27.39 T := skol22
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (273) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol23, skol22,
% 27.01/27.39 skol23, skol20 ) }.
% 27.01/27.39 parent0: (66488) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol23,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66490) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 27.01/27.39 Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 27.01/27.39 , Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := U
% 27.01/27.39 Y := W
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (282) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 27.01/27.39 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 parent0: (66490) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 27.01/27.39 U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66493) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X,
% 27.01/27.39 Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 27.01/27.39 , Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (287) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 27.01/27.39 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 27.01/27.39 parent0: (66493) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y,
% 27.01/27.39 U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 2
% 27.01/27.39 1 ==> 0
% 27.01/27.39 2 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66495) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol22, X, Y )
% 27.01/27.39 , para( skol23, skol20, X, Y ) }.
% 27.01/27.39 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 27.01/27.39 , Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol20, skol23,
% 27.01/27.39 skol22 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol23
% 27.01/27.39 Y := skol20
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 U := skol23
% 27.01/27.39 W := skol22
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (288) {G1,W10,D2,L2,V2,M2} R(8,116) { ! perp( skol23, skol22,
% 27.01/27.39 X, Y ), para( skol23, skol20, X, Y ) }.
% 27.01/27.39 parent0: (66495) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol22, X, Y ),
% 27.01/27.39 para( skol23, skol20, X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66498) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol23, skol20 )
% 27.01/27.39 , para( X, Y, skol23, skol22 ) }.
% 27.01/27.39 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 27.01/27.39 , Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol20, skol23,
% 27.01/27.39 skol22 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := skol23
% 27.01/27.39 T := skol22
% 27.01/27.39 U := skol23
% 27.01/27.39 W := skol20
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (289) {G1,W10,D2,L2,V2,M2} R(8,116) { ! perp( X, Y, skol23,
% 27.01/27.39 skol20 ), para( X, Y, skol23, skol22 ) }.
% 27.01/27.39 parent0: (66498) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol23, skol20 ),
% 27.01/27.39 para( X, Y, skol23, skol22 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66499) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 27.01/27.39 , Y ) }.
% 27.01/27.39 parent0[0, 2]: (282) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 27.01/27.39 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := X
% 27.01/27.39 W := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (292) {G2,W10,D2,L2,V4,M2} F(282) { ! perp( X, Y, Z, T ), para
% 27.01/27.39 ( X, Y, X, Y ) }.
% 27.01/27.39 parent0: (66499) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66500) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X,
% 27.01/27.39 Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 27.01/27.39 , Z, T ), perp( X, Y, Z, T ) }.
% 27.01/27.39 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := U
% 27.01/27.39 Y := W
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (306) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 27.01/27.39 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 parent0: (66500) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X, Y,
% 27.01/27.39 U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66501) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 parent1[0]: (222) {G3,W4,D2,L1,V0,M1} R(200,163) { coll( skol20, skol25,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol20
% 27.01/27.39 Y := skol25
% 27.01/27.39 Z := skol20
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (318) {G4,W4,D2,L1,V0,M1} R(222,0) { coll( skol20, skol20,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 parent0: (66501) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66502) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol24 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 parent1[0]: (230) {G3,W4,D2,L1,V0,M1} R(200,119) { coll( skol26, skol24,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol26
% 27.01/27.39 Y := skol24
% 27.01/27.39 Z := skol26
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (336) {G4,W4,D2,L1,V0,M1} R(230,0) { coll( skol26, skol26,
% 27.01/27.39 skol24 ) }.
% 27.01/27.39 parent0: (66502) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol24 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66503) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ),
% 27.01/27.39 coll( skol24, X, skol26 ) }.
% 27.01/27.39 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 parent1[0]: (336) {G4,W4,D2,L1,V0,M1} R(230,0) { coll( skol26, skol26,
% 27.01/27.39 skol24 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol26
% 27.01/27.39 Y := skol24
% 27.01/27.39 Z := X
% 27.01/27.39 T := skol26
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (338) {G5,W8,D2,L2,V1,M2} R(336,2) { ! coll( skol26, skol26, X
% 27.01/27.39 ), coll( skol24, X, skol26 ) }.
% 27.01/27.39 parent0: (66503) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ), coll(
% 27.01/27.39 skol24, X, skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66505) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol24 )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 parent1[0]: (231) {G3,W4,D2,L1,V0,M1} R(200,120) { coll( skol25, skol24,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol25
% 27.01/27.39 Y := skol24
% 27.01/27.39 Z := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (342) {G4,W4,D2,L1,V0,M1} R(231,0) { coll( skol25, skol25,
% 27.01/27.39 skol24 ) }.
% 27.01/27.39 parent0: (66505) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol24 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66506) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ),
% 27.01/27.39 coll( skol24, X, skol25 ) }.
% 27.01/27.39 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 parent1[0]: (342) {G4,W4,D2,L1,V0,M1} R(231,0) { coll( skol25, skol25,
% 27.01/27.39 skol24 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol25
% 27.01/27.39 Y := skol24
% 27.01/27.39 Z := X
% 27.01/27.39 T := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (346) {G5,W8,D2,L2,V1,M2} R(342,2) { ! coll( skol25, skol25, X
% 27.01/27.39 ), coll( skol24, X, skol25 ) }.
% 27.01/27.39 parent0: (66506) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ), coll(
% 27.01/27.39 skol24, X, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66508) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol20,
% 27.01/27.39 skol23 ) }.
% 27.01/27.39 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 27.01/27.39 T, Z ) }.
% 27.01/27.39 parent1[0]: (273) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol23, skol22,
% 27.01/27.39 skol23, skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol23
% 27.01/27.39 Y := skol22
% 27.01/27.39 Z := skol23
% 27.01/27.39 T := skol20
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (351) {G2,W5,D2,L1,V0,M1} R(273,6) { perp( skol23, skol22,
% 27.01/27.39 skol20, skol23 ) }.
% 27.01/27.39 parent0: (66508) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol20,
% 27.01/27.39 skol23 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66510) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 27.01/27.39 ) }.
% 27.01/27.39 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 parent1[0]: (232) {G4,W8,D2,L2,V3,M2} F(217) { coll( X, Y, X ), ! coll( X,
% 27.01/27.39 Z, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := X
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (405) {G5,W8,D2,L2,V3,M2} R(232,1) { ! coll( X, Y, Z ), coll(
% 27.01/27.39 Z, X, X ) }.
% 27.01/27.39 parent0: (66510) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 1
% 27.01/27.39 1 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66511) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 27.01/27.39 ) }.
% 27.01/27.39 parent0[0]: (405) {G5,W8,D2,L2,V3,M2} R(232,1) { ! coll( X, Y, Z ), coll( Z
% 27.01/27.39 , X, X ) }.
% 27.01/27.39 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := X
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (414) {G6,W8,D2,L2,V3,M2} R(405,1) { coll( X, Y, Y ), ! coll(
% 27.01/27.39 Z, Y, X ) }.
% 27.01/27.39 parent0: (66511) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := X
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66512) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 27.01/27.39 ) }.
% 27.01/27.39 parent0[0]: (405) {G5,W8,D2,L2,V3,M2} R(232,1) { ! coll( X, Y, Z ), coll( Z
% 27.01/27.39 , X, X ) }.
% 27.01/27.39 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (416) {G6,W8,D2,L2,V3,M2} R(405,0) { coll( X, Y, Y ), ! coll(
% 27.01/27.39 Y, X, Z ) }.
% 27.01/27.39 parent0: (66512) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := X
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66514) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W,
% 27.01/27.39 V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3
% 27.01/27.39 , V0, V1, V4, V5 ) }.
% 27.01/27.39 parent0[1]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 27.01/27.39 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 27.01/27.39 , U, W, V0, V1 ) }.
% 27.01/27.39 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.01/27.39 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := V2
% 27.01/27.39 W := V3
% 27.01/27.39 V0 := V4
% 27.01/27.39 V1 := V5
% 27.01/27.39 V2 := U
% 27.01/27.39 V3 := W
% 27.01/27.39 V4 := V0
% 27.01/27.39 V5 := V1
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := U
% 27.01/27.39 Y := W
% 27.01/27.39 Z := V2
% 27.01/27.39 T := V3
% 27.01/27.39 U := V0
% 27.01/27.39 W := V1
% 27.01/27.39 V0 := V4
% 27.01/27.39 V1 := V5
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (446) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T,
% 27.01/27.39 U, W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W,
% 27.01/27.39 V2, V3, V0, V1, V4, V5 ) }.
% 27.01/27.39 parent0: (66514) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.01/27.39 V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0
% 27.01/27.39 , V1, V4, V5 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 V0 := V0
% 27.01/27.39 V1 := V1
% 27.01/27.39 V2 := V2
% 27.01/27.39 V3 := V3
% 27.01/27.39 V4 := V4
% 27.01/27.39 V5 := V5
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66517) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 27.01/27.39 ) }.
% 27.01/27.39 parent0[1]: (416) {G6,W8,D2,L2,V3,M2} R(405,0) { coll( X, Y, Y ), ! coll( Y
% 27.01/27.39 , X, Z ) }.
% 27.01/27.39 parent1[0]: (416) {G6,W8,D2,L2,V3,M2} R(405,0) { coll( X, Y, Y ), ! coll( Y
% 27.01/27.39 , X, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := X
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := X
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (456) {G7,W8,D2,L2,V3,M2} R(416,416) { ! coll( X, Y, Z ), coll
% 27.01/27.39 ( X, Y, Y ) }.
% 27.01/27.39 parent0: (66517) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 1
% 27.01/27.39 1 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66521) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 27.01/27.39 X ), ! coll( X, Y, T ) }.
% 27.01/27.39 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 parent1[1]: (456) {G7,W8,D2,L2,V3,M2} R(416,416) { ! coll( X, Y, Z ), coll
% 27.01/27.39 ( X, Y, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := Y
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (459) {G8,W12,D2,L3,V4,M3} R(456,2) { ! coll( X, Y, Z ), !
% 27.01/27.39 coll( X, Y, T ), coll( T, Y, X ) }.
% 27.01/27.39 parent0: (66521) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 27.01/27.39 , ! coll( X, Y, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := T
% 27.01/27.39 T := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 1
% 27.01/27.39 1 ==> 2
% 27.01/27.39 2 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66524) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 27.01/27.39 }.
% 27.01/27.39 parent0[0, 1]: (459) {G8,W12,D2,L3,V4,M3} R(456,2) { ! coll( X, Y, Z ), !
% 27.01/27.39 coll( X, Y, T ), coll( T, Y, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (460) {G9,W8,D2,L2,V3,M2} F(459) { ! coll( X, Y, Z ), coll( Z
% 27.01/27.39 , Y, X ) }.
% 27.01/27.39 parent0: (66524) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66525) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z
% 27.01/27.39 ) }.
% 27.01/27.39 parent0[0]: (460) {G9,W8,D2,L2,V3,M2} F(459) { ! coll( X, Y, Z ), coll( Z,
% 27.01/27.39 Y, X ) }.
% 27.01/27.39 parent1[0]: (416) {G6,W8,D2,L2,V3,M2} R(405,0) { coll( X, Y, Y ), ! coll( Y
% 27.01/27.39 , X, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Y
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (462) {G10,W8,D2,L2,V3,M2} R(460,416) { coll( X, X, Y ), !
% 27.01/27.39 coll( X, Y, Z ) }.
% 27.01/27.39 parent0: (66525) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := X
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66526) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 27.01/27.39 ) }.
% 27.01/27.39 parent0[0]: (460) {G9,W8,D2,L2,V3,M2} F(459) { ! coll( X, Y, Z ), coll( Z,
% 27.01/27.39 Y, X ) }.
% 27.01/27.39 parent1[0]: (414) {G6,W8,D2,L2,V3,M2} R(405,1) { coll( X, Y, Y ), ! coll( Z
% 27.01/27.39 , Y, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Y
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (467) {G10,W8,D2,L2,V3,M2} R(460,414) { coll( X, X, Y ), !
% 27.01/27.39 coll( Z, X, Y ) }.
% 27.01/27.39 parent0: (66526) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 27.01/27.39 }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := X
% 27.01/27.39 Z := Z
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66527) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol26, skol25,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 27.01/27.39 , T, Z ) }.
% 27.01/27.39 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { cong( skol20, skol26, skol26,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol20
% 27.01/27.39 Y := skol26
% 27.01/27.39 Z := skol26
% 27.01/27.39 T := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (481) {G1,W5,D2,L1,V0,M1} R(22,118) { cong( skol20, skol26,
% 27.01/27.39 skol25, skol26 ) }.
% 27.01/27.39 parent0: (66527) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol26, skol25,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66528) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol20,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 27.01/27.39 , X, Y ) }.
% 27.01/27.39 parent1[0]: (481) {G1,W5,D2,L1,V0,M1} R(22,118) { cong( skol20, skol26,
% 27.01/27.39 skol25, skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol20
% 27.01/27.39 Y := skol26
% 27.01/27.39 Z := skol25
% 27.01/27.39 T := skol26
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (492) {G2,W5,D2,L1,V0,M1} R(23,481) { cong( skol25, skol26,
% 27.01/27.39 skol20, skol26 ) }.
% 27.01/27.39 parent0: (66528) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol20,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66529) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol26,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 27.01/27.39 , T, Z ) }.
% 27.01/27.39 parent1[0]: (492) {G2,W5,D2,L1,V0,M1} R(23,481) { cong( skol25, skol26,
% 27.01/27.39 skol20, skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol25
% 27.01/27.39 Y := skol26
% 27.01/27.39 Z := skol20
% 27.01/27.39 T := skol26
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (504) {G3,W5,D2,L1,V0,M1} R(492,22) { cong( skol25, skol26,
% 27.01/27.39 skol26, skol20 ) }.
% 27.01/27.39 parent0: (66529) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol26, skol26,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66530) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol25,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 27.01/27.39 , X, Y ) }.
% 27.01/27.39 parent1[0]: (504) {G3,W5,D2,L1,V0,M1} R(492,22) { cong( skol25, skol26,
% 27.01/27.39 skol26, skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol25
% 27.01/27.39 Y := skol26
% 27.01/27.39 Z := skol26
% 27.01/27.39 T := skol20
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (505) {G4,W5,D2,L1,V0,M1} R(504,23) { cong( skol26, skol20,
% 27.01/27.39 skol25, skol26 ) }.
% 27.01/27.39 parent0: (66530) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol25,
% 27.01/27.39 skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66531) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol26,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 27.01/27.39 , T, Z ) }.
% 27.01/27.39 parent1[0]: (505) {G4,W5,D2,L1,V0,M1} R(504,23) { cong( skol26, skol20,
% 27.01/27.39 skol25, skol26 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol26
% 27.01/27.39 Y := skol20
% 27.01/27.39 Z := skol25
% 27.01/27.39 T := skol26
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (506) {G5,W5,D2,L1,V0,M1} R(505,22) { cong( skol26, skol20,
% 27.01/27.39 skol26, skol25 ) }.
% 27.01/27.39 parent0: (66531) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol26,
% 27.01/27.39 skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66532) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 27.01/27.39 , X, Y ) }.
% 27.01/27.39 parent1[0]: (506) {G5,W5,D2,L1,V0,M1} R(505,22) { cong( skol26, skol20,
% 27.01/27.39 skol26, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol26
% 27.01/27.39 Y := skol20
% 27.01/27.39 Z := skol26
% 27.01/27.39 T := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (507) {G6,W5,D2,L1,V0,M1} R(506,23) { cong( skol26, skol25,
% 27.01/27.39 skol26, skol20 ) }.
% 27.01/27.39 parent0: (66532) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 27.01/27.39 skol20 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66533) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X,
% 27.01/27.39 Y, U, W ), ! cong( Z, T, X, Y ) }.
% 27.01/27.39 parent0[0]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 27.01/27.39 W, Z, T ), cong( X, Y, Z, T ) }.
% 27.01/27.39 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 27.01/27.39 , X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Z
% 27.01/27.39 Y := T
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (525) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 27.01/27.39 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 27.01/27.39 parent0: (66533) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X, Y,
% 27.01/27.39 U, W ), ! cong( Z, T, X, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := U
% 27.01/27.39 Y := W
% 27.01/27.39 Z := X
% 27.01/27.39 T := Y
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66537) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, Z
% 27.01/27.39 , T ) }.
% 27.01/27.39 parent0[0, 2]: (525) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 27.01/27.39 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (542) {G2,W10,D2,L2,V4,M2} F(525) { ! cong( X, Y, Z, T ), cong
% 27.01/27.39 ( Z, T, Z, T ) }.
% 27.01/27.39 parent0: (66537) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 27.01/27.39 Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66538) {G2,W8,D2,L2,V2,M2} { coll( skol24, X, skol25 ), !
% 27.01/27.39 coll( X, Y, skol25 ) }.
% 27.01/27.39 parent0[0]: (346) {G5,W8,D2,L2,V1,M2} R(342,2) { ! coll( skol25, skol25, X
% 27.01/27.39 ), coll( skol24, X, skol25 ) }.
% 27.01/27.39 parent1[1]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 27.01/27.39 , X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := skol25
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (598) {G6,W8,D2,L2,V2,M2} R(346,122) { coll( skol24, X, skol25
% 27.01/27.39 ), ! coll( X, Y, skol25 ) }.
% 27.01/27.39 parent0: (66538) {G2,W8,D2,L2,V2,M2} { coll( skol24, X, skol25 ), ! coll(
% 27.01/27.39 X, Y, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66540) {G2,W8,D2,L2,V2,M2} { coll( X, skol25, skol24 ), !
% 27.01/27.39 coll( X, Y, skol25 ) }.
% 27.01/27.39 parent0[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 27.01/27.39 Z, X ) }.
% 27.01/27.39 parent1[0]: (598) {G6,W8,D2,L2,V2,M2} R(346,122) { coll( skol24, X, skol25
% 27.01/27.39 ), ! coll( X, Y, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := skol24
% 27.01/27.39 Y := X
% 27.01/27.39 Z := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (626) {G7,W8,D2,L2,V2,M2} R(598,166) { ! coll( X, Y, skol25 )
% 27.01/27.39 , coll( X, skol25, skol24 ) }.
% 27.01/27.39 parent0: (66540) {G2,W8,D2,L2,V2,M2} { coll( X, skol25, skol24 ), ! coll(
% 27.01/27.39 X, Y, skol25 ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 1
% 27.01/27.39 1 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66541) {G8,W8,D2,L2,V2,M2} { coll( X, skol25, skol24 ), !
% 27.01/27.39 coll( X, skol25, Y ) }.
% 27.01/27.39 parent0[0]: (626) {G7,W8,D2,L2,V2,M2} R(598,166) { ! coll( X, Y, skol25 ),
% 27.01/27.39 coll( X, skol25, skol24 ) }.
% 27.01/27.39 parent1[0]: (462) {G10,W8,D2,L2,V3,M2} R(460,416) { coll( X, X, Y ), ! coll
% 27.01/27.39 ( X, Y, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := X
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := skol25
% 27.01/27.39 Z := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (649) {G11,W8,D2,L2,V2,M2} R(626,462) { coll( X, skol25,
% 27.01/27.39 skol24 ), ! coll( X, skol25, Y ) }.
% 27.01/27.39 parent0: (66541) {G8,W8,D2,L2,V2,M2} { coll( X, skol25, skol24 ), ! coll(
% 27.01/27.39 X, skol25, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66542) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 27.01/27.39 ), ! para( X, Y, U, W ) }.
% 27.01/27.39 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.01/27.39 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 27.01/27.39 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 27.01/27.39 , Y, U, W, Z, T, U, W ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 V0 := Z
% 27.01/27.39 V1 := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (788) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 27.01/27.39 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 27.01/27.39 parent0: (66542) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 27.01/27.39 , ! para( X, Y, U, W ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 1
% 27.01/27.39 1 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66543) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 27.01/27.39 ), ! para( X, Y, U, W ) }.
% 27.01/27.39 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.01/27.39 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.01/27.39 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 27.01/27.39 , Y, U, W, Z, T, U, W ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 W := W
% 27.01/27.39 V0 := Z
% 27.01/27.39 V1 := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (790) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 27.01/27.39 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 27.01/27.39 parent0: (66543) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 27.01/27.39 , ! para( X, Y, U, W ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 1
% 27.01/27.39 1 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66545) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X,
% 27.01/27.39 Y, U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 27.01/27.39 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 27.01/27.39 , Z, T ), para( X, Y, Z, T ) }.
% 27.01/27.39 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 27.01/27.39 T, Y, T ), perp( X, Y, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 U := Z
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Z
% 27.01/27.39 Y := T
% 27.01/27.39 Z := U
% 27.01/27.39 T := W
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (1561) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), !
% 27.01/27.39 cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 27.01/27.39 parent0: (66545) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X, Y,
% 27.01/27.39 U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := U
% 27.01/27.39 Y := W
% 27.01/27.39 Z := X
% 27.01/27.39 T := Z
% 27.01/27.39 U := Y
% 27.01/27.39 W := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 2
% 27.01/27.39 1 ==> 3
% 27.01/27.39 2 ==> 0
% 27.01/27.39 3 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66548) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X,
% 27.01/27.39 Z, Y, Z ), ! cong( X, T, Y, T ) }.
% 27.01/27.39 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.01/27.39 X, Y ) }.
% 27.01/27.39 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 27.01/27.39 T, Y, T ), perp( X, Y, Z, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (1562) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 27.01/27.39 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 27.01/27.39 parent0: (66548) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X, Z,
% 27.01/27.39 Y, Z ), ! cong( X, T, Y, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := Y
% 27.01/27.39 T := T
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 2
% 27.01/27.39 1 ==> 0
% 27.01/27.39 2 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66550) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 27.01/27.39 , X, Z ), para( T, U, Y, Y ) }.
% 27.01/27.39 parent0[0, 1]: (1561) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ),
% 27.01/27.39 ! cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := Y
% 27.01/27.39 U := T
% 27.01/27.39 W := U
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (1564) {G2,W15,D2,L3,V5,M3} F(1561) { ! cong( X, Y, Z, Y ), !
% 27.01/27.39 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 27.01/27.39 parent0: (66550) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 27.01/27.39 , X, Z ), para( T, U, Y, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Z
% 27.01/27.39 T := T
% 27.01/27.39 U := U
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 2 ==> 2
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66553) {G1,W12,D2,L3,V3,M3} { ! coll( X, skol25, Y ), coll(
% 27.01/27.39 skol24, Y, X ), ! coll( X, skol25, Z ) }.
% 27.01/27.39 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.01/27.39 ), coll( Y, Z, X ) }.
% 27.01/27.39 parent1[0]: (649) {G11,W8,D2,L2,V2,M2} R(626,462) { coll( X, skol25, skol24
% 27.01/27.39 ), ! coll( X, skol25, Y ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := skol24
% 27.01/27.39 Z := Y
% 27.01/27.39 T := skol25
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (1714) {G12,W12,D2,L3,V3,M3} R(649,2) { ! coll( X, skol25, Y )
% 27.01/27.39 , ! coll( X, skol25, Z ), coll( skol24, Z, X ) }.
% 27.01/27.39 parent0: (66553) {G1,W12,D2,L3,V3,M3} { ! coll( X, skol25, Y ), coll(
% 27.01/27.39 skol24, Y, X ), ! coll( X, skol25, Z ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Z
% 27.01/27.39 Z := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 1
% 27.01/27.39 1 ==> 2
% 27.01/27.39 2 ==> 0
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 factor: (66557) {G12,W8,D2,L2,V2,M2} { ! coll( X, skol25, Y ), coll(
% 27.01/27.39 skol24, Y, X ) }.
% 27.01/27.39 parent0[0, 1]: (1714) {G12,W12,D2,L3,V3,M3} R(649,2) { ! coll( X, skol25, Y
% 27.01/27.39 ), ! coll( X, skol25, Z ), coll( skol24, Z, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 Z := Y
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (1717) {G13,W8,D2,L2,V2,M2} F(1714) { ! coll( X, skol25, Y ),
% 27.01/27.39 coll( skol24, Y, X ) }.
% 27.01/27.39 parent0: (66557) {G12,W8,D2,L2,V2,M2} { ! coll( X, skol25, Y ), coll(
% 27.01/27.39 skol24, Y, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 end
% 27.01/27.39 permutation0:
% 27.01/27.39 0 ==> 0
% 27.01/27.39 1 ==> 1
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 resolution: (66558) {G2,W8,D2,L2,V2,M2} { coll( skol24, Y, X ), ! coll( Y
% 27.01/27.39 , X, skol25 ) }.
% 27.01/27.39 parent0[0]: (1717) {G13,W8,D2,L2,V2,M2} F(1714) { ! coll( X, skol25, Y ),
% 27.01/27.39 coll( skol24, Y, X ) }.
% 27.01/27.39 parent1[1]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 27.01/27.39 Z, X ) }.
% 27.01/27.39 substitution0:
% 27.01/27.39 X := X
% 27.01/27.39 Y := Y
% 27.01/27.39 end
% 27.01/27.39 substitution1:
% 27.01/27.39 X := Y
% 27.01/27.39 Y := X
% 27.01/27.39 Z := skol25
% 27.01/27.39 end
% 27.01/27.39
% 27.01/27.39 subsumption: (1745) {G14,W8,D2,L2,V2,M2} R(1717,166) { coll( skol24, X, Y )
% 27.01/27.39 , ! coll( X, Y, skol25 ) }.
% 27.01/27.39 parent0: (66558) {G2,W8,D2,L2,V2,M2} { coll( skol24, Y, X ), ! coll( Y, X
% 27.01/27.39 , skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := Y
% 27.01/27.40 Y := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66560) {G1,W8,D2,L2,V2,M2} { coll( X, skol24, Y ), ! coll( X
% 27.01/27.40 , Y, skol25 ) }.
% 27.01/27.40 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.01/27.40 }.
% 27.01/27.40 parent1[0]: (1745) {G14,W8,D2,L2,V2,M2} R(1717,166) { coll( skol24, X, Y )
% 27.01/27.40 , ! coll( X, Y, skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol24
% 27.01/27.40 Y := X
% 27.01/27.40 Z := Y
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (1805) {G15,W8,D2,L2,V2,M2} R(1745,1) { ! coll( X, Y, skol25 )
% 27.01/27.40 , coll( X, skol24, Y ) }.
% 27.01/27.40 parent0: (66560) {G1,W8,D2,L2,V2,M2} { coll( X, skol24, Y ), ! coll( X, Y
% 27.01/27.40 , skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 1
% 27.01/27.40 1 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66565) {G1,W20,D2,L5,V6,M5} { ! midp( X, Y, Z ), ! coll( T, Y
% 27.01/27.40 , U ), midp( T, Y, U ), ! midp( W, X, Z ), ! midp( W, T, U ) }.
% 27.01/27.40 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 27.01/27.40 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 27.01/27.40 parent1[2]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 27.01/27.40 T ), para( X, Z, Y, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := Y
% 27.01/27.40 Y := U
% 27.01/27.40 Z := T
% 27.01/27.40 T := Z
% 27.01/27.40 U := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Z
% 27.01/27.40 Z := T
% 27.01/27.40 T := U
% 27.01/27.40 U := W
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (1821) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), !
% 27.01/27.40 midp( X, T, U ), ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U )
% 27.01/27.40 }.
% 27.01/27.40 parent0: (66565) {G1,W20,D2,L5,V6,M5} { ! midp( X, Y, Z ), ! coll( T, Y, U
% 27.01/27.40 ), midp( T, Y, U ), ! midp( W, X, Z ), ! midp( W, T, U ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := Y
% 27.01/27.40 Y := W
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 U := U
% 27.01/27.40 W := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 2
% 27.01/27.40 1 ==> 3
% 27.01/27.40 2 ==> 4
% 27.01/27.40 3 ==> 0
% 27.01/27.40 4 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66571) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T,
% 27.01/27.40 Z, U ), ! midp( X, U, T ) }.
% 27.01/27.40 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 27.01/27.40 T ), para( X, Z, Y, T ) }.
% 27.01/27.40 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 27.01/27.40 }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := Y
% 27.01/27.40 Y := Z
% 27.01/27.40 Z := T
% 27.01/27.40 T := U
% 27.01/27.40 U := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := T
% 27.01/27.40 Y := U
% 27.01/27.40 Z := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (1829) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 27.01/27.40 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 27.01/27.40 parent0: (66571) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z,
% 27.01/27.40 U ), ! midp( X, U, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 U := U
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 2 ==> 2
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 factor: (66574) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 27.01/27.40 ) }.
% 27.01/27.40 parent0[0, 2]: (1829) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 27.01/27.40 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := Z
% 27.01/27.40 U := Y
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (1830) {G2,W9,D2,L2,V3,M2} F(1829) { ! midp( X, Y, Z ), para(
% 27.01/27.40 Y, Z, Z, Y ) }.
% 27.01/27.40 parent0: (66574) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 27.01/27.40 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 factor: (66576) {G1,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X, Z, T
% 27.01/27.40 ), ! coll( Z, X, T ), midp( Z, X, T ) }.
% 27.01/27.40 parent0[0, 2]: (1821) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), !
% 27.01/27.40 midp( X, T, U ), ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U )
% 27.01/27.40 }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := X
% 27.01/27.40 Z := Y
% 27.01/27.40 T := Z
% 27.01/27.40 U := T
% 27.01/27.40 W := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66585) {G2,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X, Z
% 27.01/27.40 , T ), midp( Z, X, T ), ! midp( X, Z, T ) }.
% 27.01/27.40 parent0[2]: (66576) {G1,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X, Z
% 27.01/27.40 , T ), ! coll( Z, X, T ), midp( Z, X, T ) }.
% 27.01/27.40 parent1[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y
% 27.01/27.40 , X, Z ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := Z
% 27.01/27.40 Y := X
% 27.01/27.40 Z := T
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 factor: (66587) {G2,W12,D2,L3,V4,M3} { ! midp( X, X, Y ), ! midp( X, Z, T
% 27.01/27.40 ), midp( Z, X, T ) }.
% 27.01/27.40 parent0[1, 3]: (66585) {G2,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X
% 27.01/27.40 , Z, T ), midp( Z, X, T ), ! midp( X, Z, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (1837) {G2,W12,D2,L3,V4,M3} F(1821);r(167) { ! midp( X, X, Y )
% 27.01/27.40 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 27.01/27.40 parent0: (66587) {G2,W12,D2,L3,V4,M3} { ! midp( X, X, Y ), ! midp( X, Z, T
% 27.01/27.40 ), midp( Z, X, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 2 ==> 2
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66589) {G2,W8,D2,L2,V2,M2} { coll( skol24, X, skol26 ), !
% 27.01/27.40 coll( X, Y, skol26 ) }.
% 27.01/27.40 parent0[0]: (338) {G5,W8,D2,L2,V1,M2} R(336,2) { ! coll( skol26, skol26, X
% 27.01/27.40 ), coll( skol24, X, skol26 ) }.
% 27.01/27.40 parent1[1]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 27.01/27.40 , X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := skol26
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (2859) {G6,W8,D2,L2,V2,M2} R(338,122) { coll( skol24, X,
% 27.01/27.40 skol26 ), ! coll( X, Y, skol26 ) }.
% 27.01/27.40 parent0: (66589) {G2,W8,D2,L2,V2,M2} { coll( skol24, X, skol26 ), ! coll(
% 27.01/27.40 X, Y, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66591) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol24 ), !
% 27.01/27.40 coll( X, Y, skol26 ) }.
% 27.01/27.40 parent0[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 27.01/27.40 Z, X ) }.
% 27.01/27.40 parent1[0]: (2859) {G6,W8,D2,L2,V2,M2} R(338,122) { coll( skol24, X, skol26
% 27.01/27.40 ), ! coll( X, Y, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol24
% 27.01/27.40 Y := X
% 27.01/27.40 Z := skol26
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (2890) {G7,W8,D2,L2,V2,M2} R(2859,166) { ! coll( X, Y, skol26
% 27.01/27.40 ), coll( X, skol26, skol24 ) }.
% 27.01/27.40 parent0: (66591) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol24 ), ! coll(
% 27.01/27.40 X, Y, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 1
% 27.01/27.40 1 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66592) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol24 ), !
% 27.01/27.40 coll( skol26, Y, X ) }.
% 27.01/27.40 parent0[0]: (2890) {G7,W8,D2,L2,V2,M2} R(2859,166) { ! coll( X, Y, skol26 )
% 27.01/27.40 , coll( X, skol26, skol24 ) }.
% 27.01/27.40 parent1[1]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 27.01/27.40 , X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := skol26
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (2978) {G8,W8,D2,L2,V2,M2} R(2890,122) { coll( X, skol26,
% 27.01/27.40 skol24 ), ! coll( skol26, Y, X ) }.
% 27.01/27.40 parent0: (66592) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol24 ), ! coll(
% 27.01/27.40 skol26, Y, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66593) {G2,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol25,
% 27.01/27.40 skol25 ) }.
% 27.01/27.40 parent0[0]: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 27.01/27.40 ( X, Y, Z, Z ) }.
% 27.01/27.40 parent1[0]: (506) {G5,W5,D2,L1,V0,M1} R(505,22) { cong( skol26, skol20,
% 27.01/27.40 skol26, skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol26
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol25
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (6898) {G6,W5,D2,L1,V0,M1} R(124,506) { circle( skol26, skol20
% 27.01/27.40 , skol25, skol25 ) }.
% 27.01/27.40 parent0: (66593) {G2,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol25,
% 27.01/27.40 skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66594) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol26 ),
% 27.01/27.40 skol20, skol20, skol26 ) }.
% 27.01/27.40 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 27.01/27.40 skol12( X, Y ), X, X, Y ) }.
% 27.01/27.40 parent1[0]: (6898) {G6,W5,D2,L1,V0,M1} R(124,506) { circle( skol26, skol20
% 27.01/27.40 , skol25, skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol26
% 27.01/27.40 Z := skol25
% 27.01/27.40 T := skol25
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (6906) {G7,W7,D3,L1,V0,M1} R(6898,100) { perp( skol12( skol20
% 27.01/27.40 , skol26 ), skol20, skol20, skol26 ) }.
% 27.01/27.40 parent0: (66594) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol26 ),
% 27.01/27.40 skol20, skol20, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66595) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol26,
% 27.01/27.40 skol26 ) }.
% 27.01/27.40 parent0[0]: (134) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp(
% 27.01/27.40 X, Z, Y, Y ) }.
% 27.01/27.40 parent1[0]: (492) {G2,W5,D2,L1,V0,M1} R(23,481) { cong( skol25, skol26,
% 27.01/27.40 skol20, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol25
% 27.01/27.40 Y := skol26
% 27.01/27.40 Z := skol20
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (7128) {G3,W5,D2,L1,V0,M1} R(134,492) { perp( skol25, skol20,
% 27.01/27.40 skol26, skol26 ) }.
% 27.01/27.40 parent0: (66595) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol26,
% 27.01/27.40 skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66596) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol12(
% 27.01/27.40 skol20, skol26 ), skol20 ) }.
% 27.01/27.40 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.01/27.40 X, Y ) }.
% 27.01/27.40 parent1[0]: (6906) {G7,W7,D3,L1,V0,M1} R(6898,100) { perp( skol12( skol20,
% 27.01/27.40 skol26 ), skol20, skol20, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol12( skol20, skol26 )
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := skol26
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (7224) {G8,W7,D3,L1,V0,M1} R(6906,7) { perp( skol20, skol26,
% 27.01/27.40 skol12( skol20, skol26 ), skol20 ) }.
% 27.01/27.40 parent0: (66596) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol12(
% 27.01/27.40 skol20, skol26 ), skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66597) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol20,
% 27.01/27.40 skol12( skol20, skol26 ) ) }.
% 27.01/27.40 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 27.01/27.40 T, Z ) }.
% 27.01/27.40 parent1[0]: (7224) {G8,W7,D3,L1,V0,M1} R(6906,7) { perp( skol20, skol26,
% 27.01/27.40 skol12( skol20, skol26 ), skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol26
% 27.01/27.40 Z := skol12( skol20, skol26 )
% 27.01/27.40 T := skol20
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (7235) {G9,W7,D3,L1,V0,M1} R(7224,6) { perp( skol20, skol26,
% 27.01/27.40 skol20, skol12( skol20, skol26 ) ) }.
% 27.01/27.40 parent0: (66597) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol20,
% 27.01/27.40 skol12( skol20, skol26 ) ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66598) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 27.01/27.40 skol26 ), skol20, skol26 ) }.
% 27.01/27.40 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.01/27.40 X, Y ) }.
% 27.01/27.40 parent1[0]: (7235) {G9,W7,D3,L1,V0,M1} R(7224,6) { perp( skol20, skol26,
% 27.01/27.40 skol20, skol12( skol20, skol26 ) ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol26
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := skol12( skol20, skol26 )
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (7245) {G10,W7,D3,L1,V0,M1} R(7235,7) { perp( skol20, skol12(
% 27.01/27.40 skol20, skol26 ), skol20, skol26 ) }.
% 27.01/27.40 parent0: (66598) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 27.01/27.40 skol26 ), skol20, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66599) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 27.01/27.40 , skol26 ), skol20, skol26 ), alpha1( skol20, skol20, skol26 ) }.
% 27.01/27.40 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 27.01/27.40 T, X, Z ), alpha1( X, Y, Z ) }.
% 27.01/27.40 parent1[0]: (7245) {G10,W7,D3,L1,V0,M1} R(7235,7) { perp( skol20, skol12(
% 27.01/27.40 skol20, skol26 ), skol20, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol26
% 27.01/27.40 T := skol12( skol20, skol26 )
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66600) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol26 )
% 27.01/27.40 }.
% 27.01/27.40 parent0[0]: (66599) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 27.01/27.40 , skol26 ), skol20, skol26 ), alpha1( skol20, skol20, skol26 ) }.
% 27.01/27.40 parent1[0]: (7245) {G10,W7,D3,L1,V0,M1} R(7235,7) { perp( skol20, skol12(
% 27.01/27.40 skol20, skol26 ), skol20, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (7251) {G11,W4,D2,L1,V0,M1} R(7245,96);r(7245) { alpha1(
% 27.01/27.40 skol20, skol20, skol26 ) }.
% 27.01/27.40 parent0: (66600) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol26 )
% 27.01/27.40 }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66601) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol20, X, skol26
% 27.01/27.40 ), skol26, skol20 ) }.
% 27.01/27.40 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 27.01/27.40 ( X, T, Z ), Z, X ) }.
% 27.01/27.40 parent1[0]: (7251) {G11,W4,D2,L1,V0,M1} R(7245,96);r(7245) { alpha1( skol20
% 27.01/27.40 , skol20, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol26
% 27.01/27.40 T := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (7261) {G12,W7,D3,L1,V1,M1} R(7251,97) { coll( skol11( skol20
% 27.01/27.40 , X, skol26 ), skol26, skol20 ) }.
% 27.01/27.40 parent0: (66601) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol20, X, skol26 ),
% 27.01/27.40 skol26, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66602) {G11,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 )
% 27.01/27.40 }.
% 27.01/27.40 parent0[1]: (467) {G10,W8,D2,L2,V3,M2} R(460,414) { coll( X, X, Y ), ! coll
% 27.01/27.40 ( Z, X, Y ) }.
% 27.01/27.40 parent1[0]: (7261) {G12,W7,D3,L1,V1,M1} R(7251,97) { coll( skol11( skol20,
% 27.01/27.40 X, skol26 ), skol26, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol26
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol11( skol20, X, skol26 )
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (7277) {G13,W4,D2,L1,V0,M1} R(7261,467) { coll( skol26, skol26
% 27.01/27.40 , skol20 ) }.
% 27.01/27.40 parent0: (66602) {G11,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66603) {G9,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol24 )
% 27.01/27.40 }.
% 27.01/27.40 parent0[1]: (2978) {G8,W8,D2,L2,V2,M2} R(2890,122) { coll( X, skol26,
% 27.01/27.40 skol24 ), ! coll( skol26, Y, X ) }.
% 27.01/27.40 parent1[0]: (7277) {G13,W4,D2,L1,V0,M1} R(7261,467) { coll( skol26, skol26
% 27.01/27.40 , skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol26
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (7357) {G14,W4,D2,L1,V0,M1} R(7277,2978) { coll( skol20,
% 27.01/27.40 skol26, skol24 ) }.
% 27.01/27.40 parent0: (66603) {G9,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol24 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66604) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol26 )
% 27.01/27.40 }.
% 27.01/27.40 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.01/27.40 }.
% 27.01/27.40 parent1[0]: (7357) {G14,W4,D2,L1,V0,M1} R(7277,2978) { coll( skol20, skol26
% 27.01/27.40 , skol24 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol26
% 27.01/27.40 Z := skol24
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (7378) {G15,W4,D2,L1,V0,M1} R(7357,0) { coll( skol20, skol24,
% 27.01/27.40 skol26 ) }.
% 27.01/27.40 parent0: (66604) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66605) {G4,W8,D2,L2,V1,M2} { coll( X, skol20, skol25 ), !
% 27.01/27.40 coll( skol25, X, skol25 ) }.
% 27.01/27.40 parent0[0]: (182) {G3,W8,D2,L2,V1,M2} R(2,163) { ! coll( skol25, skol24, X
% 27.01/27.40 ), coll( X, skol20, skol25 ) }.
% 27.01/27.40 parent1[1]: (1805) {G15,W8,D2,L2,V2,M2} R(1745,1) { ! coll( X, Y, skol25 )
% 27.01/27.40 , coll( X, skol24, Y ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := skol25
% 27.01/27.40 Y := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (9467) {G16,W8,D2,L2,V1,M2} R(182,1805) { coll( X, skol20,
% 27.01/27.40 skol25 ), ! coll( skol25, X, skol25 ) }.
% 27.01/27.40 parent0: (66605) {G4,W8,D2,L2,V1,M2} { coll( X, skol20, skol25 ), ! coll(
% 27.01/27.40 skol25, X, skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66606) {G2,W8,D2,L2,V1,M2} { coll( X, skol25, skol20 ), !
% 27.01/27.40 coll( skol20, X, skol20 ) }.
% 27.01/27.40 parent0[0]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T
% 27.01/27.40 , Z, X ), ! coll( X, T, Y ) }.
% 27.01/27.40 parent1[0]: (318) {G4,W4,D2,L1,V0,M1} R(222,0) { coll( skol20, skol20,
% 27.01/27.40 skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol25
% 27.01/27.40 T := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (11550) {G5,W8,D2,L2,V1,M2} R(191,318) { coll( X, skol25,
% 27.01/27.40 skol20 ), ! coll( skol20, X, skol20 ) }.
% 27.01/27.40 parent0: (66606) {G2,W8,D2,L2,V1,M2} { coll( X, skol25, skol20 ), ! coll(
% 27.01/27.40 skol20, X, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66608) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol20 )
% 27.01/27.40 }.
% 27.01/27.40 parent0[0]: (211) {G2,W8,D2,L2,V1,M2} R(169,2) { ! coll( skol20, skol24, X
% 27.01/27.40 ), coll( X, skol25, skol20 ) }.
% 27.01/27.40 parent1[0]: (7378) {G15,W4,D2,L1,V0,M1} R(7357,0) { coll( skol20, skol24,
% 27.01/27.40 skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol26
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (14784) {G16,W4,D2,L1,V0,M1} R(211,7378) { coll( skol26,
% 27.01/27.40 skol25, skol20 ) }.
% 27.01/27.40 parent0: (66608) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66609) {G1,W9,D2,L2,V0,M2} { ! cong( skol26, skol25, skol26,
% 27.01/27.40 skol20 ), midp( skol26, skol25, skol20 ) }.
% 27.01/27.40 parent0[1]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 27.01/27.40 Y, Z ), midp( X, Y, Z ) }.
% 27.01/27.40 parent1[0]: (14784) {G16,W4,D2,L1,V0,M1} R(211,7378) { coll( skol26, skol25
% 27.01/27.40 , skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol26
% 27.01/27.40 Y := skol25
% 27.01/27.40 Z := skol20
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66610) {G2,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol20 )
% 27.01/27.40 }.
% 27.01/27.40 parent0[0]: (66609) {G1,W9,D2,L2,V0,M2} { ! cong( skol26, skol25, skol26,
% 27.01/27.40 skol20 ), midp( skol26, skol25, skol20 ) }.
% 27.01/27.40 parent1[0]: (507) {G6,W5,D2,L1,V0,M1} R(506,23) { cong( skol26, skol25,
% 27.01/27.40 skol26, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (14816) {G17,W4,D2,L1,V0,M1} R(14784,67);r(507) { midp( skol26
% 27.01/27.40 , skol25, skol20 ) }.
% 27.01/27.40 parent0: (66610) {G2,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66611) {G2,W14,D3,L3,V1,M3} { ! coll( skol25, skol25, skol20
% 27.01/27.40 ), ! coll( skol20, skol25, skol20 ), midp( skol7( skol25, X ), skol25, X
% 27.01/27.40 ) }.
% 27.01/27.40 parent0[0]: (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 27.01/27.40 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 27.01/27.40 parent1[0]: (14816) {G17,W4,D2,L1,V0,M1} R(14784,67);r(507) { midp( skol26
% 27.01/27.40 , skol25, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol26
% 27.01/27.40 Y := skol25
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66612) {G3,W14,D3,L3,V1,M3} { ! coll( skol20, skol25, skol20
% 27.01/27.40 ), midp( skol7( skol25, X ), skol25, X ), ! coll( skol20, skol25, skol20
% 27.01/27.40 ) }.
% 27.01/27.40 parent0[0]: (66611) {G2,W14,D3,L3,V1,M3} { ! coll( skol25, skol25, skol20
% 27.01/27.40 ), ! coll( skol20, skol25, skol20 ), midp( skol7( skol25, X ), skol25, X
% 27.01/27.40 ) }.
% 27.01/27.40 parent1[0]: (11550) {G5,W8,D2,L2,V1,M2} R(191,318) { coll( X, skol25,
% 27.01/27.40 skol20 ), ! coll( skol20, X, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := skol25
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 factor: (66614) {G3,W10,D3,L2,V1,M2} { ! coll( skol20, skol25, skol20 ),
% 27.01/27.40 midp( skol7( skol25, X ), skol25, X ) }.
% 27.01/27.40 parent0[0, 2]: (66612) {G3,W14,D3,L3,V1,M3} { ! coll( skol20, skol25,
% 27.01/27.40 skol20 ), midp( skol7( skol25, X ), skol25, X ), ! coll( skol20, skol25,
% 27.01/27.40 skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (14826) {G18,W10,D3,L2,V1,M2} R(14816,144);r(11550) { ! coll(
% 27.01/27.40 skol20, skol25, skol20 ), midp( skol7( skol25, X ), skol25, X ) }.
% 27.01/27.40 parent0: (66614) {G3,W10,D3,L2,V1,M2} { ! coll( skol20, skol25, skol20 ),
% 27.01/27.40 midp( skol7( skol25, X ), skol25, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66615) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol25 )
% 27.01/27.40 }.
% 27.01/27.40 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 27.01/27.40 }.
% 27.01/27.40 parent1[0]: (14816) {G17,W4,D2,L1,V0,M1} R(14784,67);r(507) { midp( skol26
% 27.01/27.40 , skol25, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol25
% 27.01/27.40 Z := skol26
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (14851) {G18,W4,D2,L1,V0,M1} R(14816,10) { midp( skol26,
% 27.01/27.40 skol20, skol25 ) }.
% 27.01/27.40 parent0: (66615) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66616) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol25
% 27.01/27.40 ), ! coll( skol25, skol20, skol25 ), midp( skol7( skol20, X ), skol20, X
% 27.01/27.40 ) }.
% 27.01/27.40 parent0[0]: (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 27.01/27.40 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 27.01/27.40 parent1[0]: (14851) {G18,W4,D2,L1,V0,M1} R(14816,10) { midp( skol26, skol20
% 27.01/27.40 , skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol26
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol25
% 27.01/27.40 T := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66617) {G3,W14,D3,L3,V1,M3} { ! coll( skol25, skol20, skol25
% 27.01/27.40 ), midp( skol7( skol20, X ), skol20, X ), ! coll( skol25, skol20, skol25
% 27.01/27.40 ) }.
% 27.01/27.40 parent0[0]: (66616) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol25
% 27.01/27.40 ), ! coll( skol25, skol20, skol25 ), midp( skol7( skol20, X ), skol20, X
% 27.01/27.40 ) }.
% 27.01/27.40 parent1[0]: (9467) {G16,W8,D2,L2,V1,M2} R(182,1805) { coll( X, skol20,
% 27.01/27.40 skol25 ), ! coll( skol25, X, skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := skol20
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 factor: (66619) {G3,W10,D3,L2,V1,M2} { ! coll( skol25, skol20, skol25 ),
% 27.01/27.40 midp( skol7( skol20, X ), skol20, X ) }.
% 27.01/27.40 parent0[0, 2]: (66617) {G3,W14,D3,L3,V1,M3} { ! coll( skol25, skol20,
% 27.01/27.40 skol25 ), midp( skol7( skol20, X ), skol20, X ), ! coll( skol25, skol20,
% 27.01/27.40 skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (14853) {G19,W10,D3,L2,V1,M2} R(14851,144);r(9467) { ! coll(
% 27.01/27.40 skol25, skol20, skol25 ), midp( skol7( skol20, X ), skol20, X ) }.
% 27.01/27.40 parent0: (66619) {G3,W10,D3,L2,V1,M2} { ! coll( skol25, skol20, skol25 ),
% 27.01/27.40 midp( skol7( skol20, X ), skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66620) {G2,W5,D2,L1,V0,M1} { para( skol23, skol20, skol20,
% 27.01/27.40 skol23 ) }.
% 27.01/27.40 parent0[0]: (288) {G1,W10,D2,L2,V2,M2} R(8,116) { ! perp( skol23, skol22, X
% 27.01/27.40 , Y ), para( skol23, skol20, X, Y ) }.
% 27.01/27.40 parent1[0]: (351) {G2,W5,D2,L1,V0,M1} R(273,6) { perp( skol23, skol22,
% 27.01/27.40 skol20, skol23 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol23
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (17838) {G3,W5,D2,L1,V0,M1} R(288,351) { para( skol23, skol20
% 27.01/27.40 , skol20, skol23 ) }.
% 27.01/27.40 parent0: (66620) {G2,W5,D2,L1,V0,M1} { para( skol23, skol20, skol20,
% 27.01/27.40 skol23 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66621) {G3,W5,D2,L1,V0,M1} { para( skol20, skol23, skol20,
% 27.01/27.40 skol23 ) }.
% 27.01/27.40 parent0[0]: (254) {G2,W10,D2,L2,V4,M2} F(248) { ! para( X, Y, Z, T ), para
% 27.01/27.40 ( Z, T, Z, T ) }.
% 27.01/27.40 parent1[0]: (17838) {G3,W5,D2,L1,V0,M1} R(288,351) { para( skol23, skol20,
% 27.01/27.40 skol20, skol23 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol23
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := skol23
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (17842) {G4,W5,D2,L1,V0,M1} R(17838,254) { para( skol20,
% 27.01/27.40 skol23, skol20, skol23 ) }.
% 27.01/27.40 parent0: (66621) {G3,W5,D2,L1,V0,M1} { para( skol20, skol23, skol20,
% 27.01/27.40 skol23 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66622) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol20 ),
% 27.01/27.40 midp( X, skol23, skol23 ) }.
% 27.01/27.40 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 27.01/27.40 , T, Z, T ), midp( X, T, T ) }.
% 27.01/27.40 parent1[0]: (17842) {G4,W5,D2,L1,V0,M1} R(17838,254) { para( skol20, skol23
% 27.01/27.40 , skol20, skol23 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := skol23
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (17855) {G5,W8,D2,L2,V1,M2} R(17842,138) { ! midp( X, skol20,
% 27.01/27.40 skol20 ), midp( X, skol23, skol23 ) }.
% 27.01/27.40 parent0: (66622) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol20 ), midp(
% 27.01/27.40 X, skol23, skol23 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66623) {G2,W5,D2,L1,V0,M1} { para( skol23, skol22, skol23,
% 27.01/27.40 skol22 ) }.
% 27.01/27.40 parent0[0]: (289) {G1,W10,D2,L2,V2,M2} R(8,116) { ! perp( X, Y, skol23,
% 27.01/27.40 skol20 ), para( X, Y, skol23, skol22 ) }.
% 27.01/27.40 parent1[0]: (273) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol23, skol22,
% 27.01/27.40 skol23, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol23
% 27.01/27.40 Y := skol22
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (17895) {G2,W5,D2,L1,V0,M1} R(289,273) { para( skol23, skol22
% 27.01/27.40 , skol23, skol22 ) }.
% 27.01/27.40 parent0: (66623) {G2,W5,D2,L1,V0,M1} { para( skol23, skol22, skol23,
% 27.01/27.40 skol22 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66624) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ),
% 27.01/27.40 midp( X, skol22, skol22 ) }.
% 27.01/27.40 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 27.01/27.40 , T, Z, T ), midp( X, T, T ) }.
% 27.01/27.40 parent1[0]: (17895) {G2,W5,D2,L1,V0,M1} R(289,273) { para( skol23, skol22,
% 27.01/27.40 skol23, skol22 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol23
% 27.01/27.40 Z := skol23
% 27.01/27.40 T := skol22
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (17925) {G3,W8,D2,L2,V1,M2} R(17895,138) { ! midp( X, skol23,
% 27.01/27.40 skol23 ), midp( X, skol22, skol22 ) }.
% 27.01/27.40 parent0: (66624) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ), midp(
% 27.01/27.40 X, skol22, skol22 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66625) {G3,W5,D2,L1,V0,M1} { para( skol25, skol20, skol25,
% 27.01/27.40 skol20 ) }.
% 27.01/27.40 parent0[0]: (292) {G2,W10,D2,L2,V4,M2} F(282) { ! perp( X, Y, Z, T ), para
% 27.01/27.40 ( X, Y, X, Y ) }.
% 27.01/27.40 parent1[0]: (7128) {G3,W5,D2,L1,V0,M1} R(134,492) { perp( skol25, skol20,
% 27.01/27.40 skol26, skol26 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol25
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol26
% 27.01/27.40 T := skol26
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (18012) {G4,W5,D2,L1,V0,M1} R(292,7128) { para( skol25, skol20
% 27.01/27.40 , skol25, skol20 ) }.
% 27.01/27.40 parent0: (66625) {G3,W5,D2,L1,V0,M1} { para( skol25, skol20, skol25,
% 27.01/27.40 skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66626) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ),
% 27.01/27.40 midp( X, skol20, skol20 ) }.
% 27.01/27.40 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 27.01/27.40 , T, Z, T ), midp( X, T, T ) }.
% 27.01/27.40 parent1[0]: (18012) {G4,W5,D2,L1,V0,M1} R(292,7128) { para( skol25, skol20
% 27.01/27.40 , skol25, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol25
% 27.01/27.40 Z := skol25
% 27.01/27.40 T := skol20
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (18122) {G5,W8,D2,L2,V1,M2} R(18012,138) { ! midp( X, skol25,
% 27.01/27.40 skol25 ), midp( X, skol20, skol20 ) }.
% 27.01/27.40 parent0: (66626) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ), midp(
% 27.01/27.40 X, skol20, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66627) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20
% 27.01/27.40 , X ) }.
% 27.01/27.40 parent0[0]: (14853) {G19,W10,D3,L2,V1,M2} R(14851,144);r(9467) { ! coll(
% 27.01/27.40 skol25, skol20, skol25 ), midp( skol7( skol20, X ), skol20, X ) }.
% 27.01/27.40 parent1[0]: (213) {G3,W4,D2,L1,V0,M1} R(200,169) { coll( skol25, skol20,
% 27.01/27.40 skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (20006) {G20,W6,D3,L1,V1,M1} S(14853);r(213) { midp( skol7(
% 27.01/27.40 skol20, X ), skol20, X ) }.
% 27.01/27.40 parent0: (66627) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20, X
% 27.01/27.40 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66628) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25
% 27.01/27.40 , X ) }.
% 27.01/27.40 parent0[0]: (14826) {G18,W10,D3,L2,V1,M2} R(14816,144);r(11550) { ! coll(
% 27.01/27.40 skol20, skol25, skol20 ), midp( skol7( skol25, X ), skol25, X ) }.
% 27.01/27.40 parent1[0]: (222) {G3,W4,D2,L1,V0,M1} R(200,163) { coll( skol20, skol25,
% 27.01/27.40 skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (20007) {G19,W6,D3,L1,V1,M1} S(14826);r(222) { midp( skol7(
% 27.01/27.40 skol25, X ), skol25, X ) }.
% 27.01/27.40 parent0: (66628) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25, X
% 27.01/27.40 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66629) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), X,
% 27.01/27.40 skol20 ) }.
% 27.01/27.40 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 27.01/27.40 }.
% 27.01/27.40 parent1[0]: (20006) {G20,W6,D3,L1,V1,M1} S(14853);r(213) { midp( skol7(
% 27.01/27.40 skol20, X ), skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol7( skol20, X )
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (20488) {G21,W6,D3,L1,V1,M1} R(20006,10) { midp( skol7( skol20
% 27.01/27.40 , X ), X, skol20 ) }.
% 27.01/27.40 parent0: (66629) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), X, skol20
% 27.01/27.40 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66630) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), X,
% 27.01/27.40 skol25 ) }.
% 27.01/27.40 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 27.01/27.40 }.
% 27.01/27.40 parent1[0]: (20007) {G19,W6,D3,L1,V1,M1} S(14826);r(222) { midp( skol7(
% 27.01/27.40 skol25, X ), skol25, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol25
% 27.01/27.40 Z := skol7( skol25, X )
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (20808) {G20,W6,D3,L1,V1,M1} R(20007,10) { midp( skol7( skol25
% 27.01/27.40 , X ), X, skol25 ) }.
% 27.01/27.40 parent0: (66630) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), X, skol25
% 27.01/27.40 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66631) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol25, skol25 ),
% 27.01/27.40 skol20, skol20 ) }.
% 27.01/27.40 parent0[0]: (18122) {G5,W8,D2,L2,V1,M2} R(18012,138) { ! midp( X, skol25,
% 27.01/27.40 skol25 ), midp( X, skol20, skol20 ) }.
% 27.01/27.40 parent1[0]: (20808) {G20,W6,D3,L1,V1,M1} R(20007,10) { midp( skol7( skol25
% 27.01/27.40 , X ), X, skol25 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol7( skol25, skol25 )
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := skol25
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (23825) {G21,W6,D3,L1,V0,M1} R(18122,20808) { midp( skol7(
% 27.01/27.40 skol25, skol25 ), skol20, skol20 ) }.
% 27.01/27.40 parent0: (66631) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol25, skol25 ),
% 27.01/27.40 skol20, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66632) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol25, skol25 ),
% 27.01/27.40 skol23, skol23 ) }.
% 27.01/27.40 parent0[0]: (17855) {G5,W8,D2,L2,V1,M2} R(17842,138) { ! midp( X, skol20,
% 27.01/27.40 skol20 ), midp( X, skol23, skol23 ) }.
% 27.01/27.40 parent1[0]: (23825) {G21,W6,D3,L1,V0,M1} R(18122,20808) { midp( skol7(
% 27.01/27.40 skol25, skol25 ), skol20, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol7( skol25, skol25 )
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (28313) {G22,W6,D3,L1,V0,M1} R(17855,23825) { midp( skol7(
% 27.01/27.40 skol25, skol25 ), skol23, skol23 ) }.
% 27.01/27.40 parent0: (66632) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol25, skol25 ),
% 27.01/27.40 skol23, skol23 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66633) {G4,W6,D3,L1,V0,M1} { midp( skol7( skol25, skol25 ),
% 27.01/27.40 skol22, skol22 ) }.
% 27.01/27.40 parent0[0]: (17925) {G3,W8,D2,L2,V1,M2} R(17895,138) { ! midp( X, skol23,
% 27.01/27.40 skol23 ), midp( X, skol22, skol22 ) }.
% 27.01/27.40 parent1[0]: (28313) {G22,W6,D3,L1,V0,M1} R(17855,23825) { midp( skol7(
% 27.01/27.40 skol25, skol25 ), skol23, skol23 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol7( skol25, skol25 )
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (28328) {G23,W6,D3,L1,V0,M1} R(28313,17925) { midp( skol7(
% 27.01/27.40 skol25, skol25 ), skol22, skol22 ) }.
% 27.01/27.40 parent0: (66633) {G4,W6,D3,L1,V0,M1} { midp( skol7( skol25, skol25 ),
% 27.01/27.40 skol22, skol22 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66634) {G3,W5,D2,L1,V1,M1} { para( X, skol20, skol20, X ) }.
% 27.01/27.40 parent0[0]: (1830) {G2,W9,D2,L2,V3,M2} F(1829) { ! midp( X, Y, Z ), para( Y
% 27.01/27.40 , Z, Z, Y ) }.
% 27.01/27.40 parent1[0]: (20488) {G21,W6,D3,L1,V1,M1} R(20006,10) { midp( skol7( skol20
% 27.01/27.40 , X ), X, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol7( skol20, X )
% 27.01/27.40 Y := X
% 27.01/27.40 Z := skol20
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (58930) {G22,W5,D2,L1,V1,M1} R(1830,20488) { para( X, skol20,
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 parent0: (66634) {G3,W5,D2,L1,V1,M1} { para( X, skol20, skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66635) {G2,W5,D2,L1,V1,M1} { para( skol20, X, skol20, X ) }.
% 27.01/27.40 parent0[0]: (239) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 27.01/27.40 ( Z, T, Y, X ) }.
% 27.01/27.40 parent1[0]: (58930) {G22,W5,D2,L1,V1,M1} R(1830,20488) { para( X, skol20,
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (58965) {G23,W5,D2,L1,V1,M1} R(58930,239) { para( skol20, X,
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 parent0: (66635) {G2,W5,D2,L1,V1,M1} { para( skol20, X, skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66636) {G2,W5,D2,L1,V1,M1} { para( X, skol20, X, skol20 ) }.
% 27.01/27.40 parent0[1]: (238) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 27.01/27.40 ( Z, T, Y, X ) }.
% 27.01/27.40 parent1[0]: (58930) {G22,W5,D2,L1,V1,M1} R(1830,20488) { para( X, skol20,
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := X
% 27.01/27.40 T := skol20
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (58966) {G23,W5,D2,L1,V1,M1} R(58930,238) { para( X, skol20, X
% 27.01/27.40 , skol20 ) }.
% 27.01/27.40 parent0: (66636) {G2,W5,D2,L1,V1,M1} { para( X, skol20, X, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66637) {G2,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( X,
% 27.01/27.40 skol20, skol20 ) }.
% 27.01/27.40 parent0[1]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 27.01/27.40 , T, Z, T ), midp( X, T, T ) }.
% 27.01/27.40 parent1[0]: (58966) {G23,W5,D2,L1,V1,M1} R(58930,238) { para( X, skol20, X
% 27.01/27.40 , skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Y
% 27.01/27.40 T := skol20
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := Y
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (58974) {G24,W8,D2,L2,V2,M2} R(58966,138) { ! midp( X, Y, Y )
% 27.01/27.40 , midp( X, skol20, skol20 ) }.
% 27.01/27.40 parent0: (66637) {G2,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( X, skol20
% 27.01/27.40 , skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66639) {G2,W13,D2,L3,V3,M3} { ! para( skol20, Y, skol20, Y )
% 27.01/27.40 , midp( X, Y, Y ), ! midp( X, Z, Z ) }.
% 27.01/27.40 parent0[0]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 27.01/27.40 , T, Z, T ), midp( X, T, T ) }.
% 27.01/27.40 parent1[1]: (58974) {G24,W8,D2,L2,V2,M2} R(58966,138) { ! midp( X, Y, Y ),
% 27.01/27.40 midp( X, skol20, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := Y
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Z
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66640) {G3,W8,D2,L2,V3,M2} { midp( Y, X, X ), ! midp( Y, Z, Z
% 27.01/27.40 ) }.
% 27.01/27.40 parent0[0]: (66639) {G2,W13,D2,L3,V3,M3} { ! para( skol20, Y, skol20, Y )
% 27.01/27.40 , midp( X, Y, Y ), ! midp( X, Z, Z ) }.
% 27.01/27.40 parent1[0]: (58965) {G23,W5,D2,L1,V1,M1} R(58930,239) { para( skol20, X,
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := Y
% 27.01/27.40 Y := X
% 27.01/27.40 Z := Z
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (59057) {G25,W8,D2,L2,V3,M2} R(58974,138);r(58965) { ! midp( X
% 27.01/27.40 , Y, Y ), midp( X, Z, Z ) }.
% 27.01/27.40 parent0: (66640) {G3,W8,D2,L2,V3,M2} { midp( Y, X, X ), ! midp( Y, Z, Z )
% 27.01/27.40 }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := Z
% 27.01/27.40 Y := X
% 27.01/27.40 Z := Y
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 1
% 27.01/27.40 1 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66641) {G24,W6,D3,L1,V1,M1} { midp( skol7( skol25, skol25 ),
% 27.01/27.40 X, X ) }.
% 27.01/27.40 parent0[0]: (59057) {G25,W8,D2,L2,V3,M2} R(58974,138);r(58965) { ! midp( X
% 27.01/27.40 , Y, Y ), midp( X, Z, Z ) }.
% 27.01/27.40 parent1[0]: (28328) {G23,W6,D3,L1,V0,M1} R(28313,17925) { midp( skol7(
% 27.01/27.40 skol25, skol25 ), skol22, skol22 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol7( skol25, skol25 )
% 27.01/27.40 Y := skol22
% 27.01/27.40 Z := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (59126) {G26,W6,D3,L1,V1,M1} R(59057,28328) { midp( skol7(
% 27.01/27.40 skol25, skol25 ), X, X ) }.
% 27.01/27.40 parent0: (66641) {G24,W6,D3,L1,V1,M1} { midp( skol7( skol25, skol25 ), X,
% 27.01/27.40 X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66642) {G3,W12,D2,L3,V4,M3} { ! midp( X, Y, Z ), midp( Y, X,
% 27.01/27.40 Z ), ! midp( X, T, T ) }.
% 27.01/27.40 parent0[0]: (1837) {G2,W12,D2,L3,V4,M3} F(1821);r(167) { ! midp( X, X, Y )
% 27.01/27.40 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 27.01/27.40 parent1[1]: (59057) {G25,W8,D2,L2,V3,M2} R(58974,138);r(58965) { ! midp( X
% 27.01/27.40 , Y, Y ), midp( X, Z, Z ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := X
% 27.01/27.40 Z := Y
% 27.01/27.40 T := Z
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 Y := T
% 27.01/27.40 Z := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (59732) {G26,W12,D2,L3,V4,M3} R(1837,59057) { ! midp( X, Y, Z
% 27.01/27.40 ), midp( Y, X, Z ), ! midp( X, T, T ) }.
% 27.01/27.40 parent0: (66642) {G3,W12,D2,L3,V4,M3} { ! midp( X, Y, Z ), midp( Y, X, Z )
% 27.01/27.40 , ! midp( X, T, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 2 ==> 2
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 factor: (66646) {G26,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( Y, X, Y )
% 27.01/27.40 }.
% 27.01/27.40 parent0[0, 2]: (59732) {G26,W12,D2,L3,V4,M3} R(1837,59057) { ! midp( X, Y,
% 27.01/27.40 Z ), midp( Y, X, Z ), ! midp( X, T, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Y
% 27.01/27.40 T := Y
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (59910) {G27,W8,D2,L2,V2,M2} F(59732) { ! midp( X, Y, Y ),
% 27.01/27.40 midp( Y, X, Y ) }.
% 27.01/27.40 parent0: (66646) {G26,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( Y, X, Y )
% 27.01/27.40 }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66647) {G27,W6,D3,L1,V1,M1} { midp( X, skol7( skol25, skol25
% 27.01/27.40 ), X ) }.
% 27.01/27.40 parent0[0]: (59910) {G27,W8,D2,L2,V2,M2} F(59732) { ! midp( X, Y, Y ), midp
% 27.01/27.40 ( Y, X, Y ) }.
% 27.01/27.40 parent1[0]: (59126) {G26,W6,D3,L1,V1,M1} R(59057,28328) { midp( skol7(
% 27.01/27.40 skol25, skol25 ), X, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol7( skol25, skol25 )
% 27.01/27.40 Y := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (59921) {G28,W6,D3,L1,V1,M1} R(59910,59126) { midp( X, skol7(
% 27.01/27.40 skol25, skol25 ), X ) }.
% 27.01/27.40 parent0: (66647) {G27,W6,D3,L1,V1,M1} { midp( X, skol7( skol25, skol25 ),
% 27.01/27.40 X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66648) {G1,W6,D3,L1,V1,M1} { midp( X, X, skol7( skol25,
% 27.01/27.40 skol25 ) ) }.
% 27.01/27.40 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 27.01/27.40 }.
% 27.01/27.40 parent1[0]: (59921) {G28,W6,D3,L1,V1,M1} R(59910,59126) { midp( X, skol7(
% 27.01/27.40 skol25, skol25 ), X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol7( skol25, skol25 )
% 27.01/27.40 Z := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (60026) {G29,W6,D3,L1,V1,M1} R(59921,10) { midp( X, X, skol7(
% 27.01/27.40 skol25, skol25 ) ) }.
% 27.01/27.40 parent0: (66648) {G1,W6,D3,L1,V1,M1} { midp( X, X, skol7( skol25, skol25 )
% 27.01/27.40 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66649) {G3,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), midp( Y, X, Z
% 27.01/27.40 ) }.
% 27.01/27.40 parent0[0]: (1837) {G2,W12,D2,L3,V4,M3} F(1821);r(167) { ! midp( X, X, Y )
% 27.01/27.40 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 27.01/27.40 parent1[0]: (60026) {G29,W6,D3,L1,V1,M1} R(59921,10) { midp( X, X, skol7(
% 27.01/27.40 skol25, skol25 ) ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := skol7( skol25, skol25 )
% 27.01/27.40 Z := Y
% 27.01/27.40 T := Z
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (60027) {G30,W8,D2,L2,V3,M2} R(60026,1837) { ! midp( X, Y, Z )
% 27.01/27.40 , midp( Y, X, Z ) }.
% 27.01/27.40 parent0: (66649) {G3,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), midp( Y, X, Z )
% 27.01/27.40 }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 1 ==> 1
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66651) {G21,W6,D3,L1,V1,M1} { midp( skol20, skol7( skol20, X
% 27.01/27.40 ), X ) }.
% 27.01/27.40 parent0[0]: (60027) {G30,W8,D2,L2,V3,M2} R(60026,1837) { ! midp( X, Y, Z )
% 27.01/27.40 , midp( Y, X, Z ) }.
% 27.01/27.40 parent1[0]: (20006) {G20,W6,D3,L1,V1,M1} S(14853);r(213) { midp( skol7(
% 27.01/27.40 skol20, X ), skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol7( skol20, X )
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (62169) {G31,W6,D3,L1,V1,M1} R(60027,20006) { midp( skol20,
% 27.01/27.40 skol7( skol20, X ), X ) }.
% 27.01/27.40 parent0: (66651) {G21,W6,D3,L1,V1,M1} { midp( skol20, skol7( skol20, X ),
% 27.01/27.40 X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66652) {G1,W7,D3,L1,V1,M1} { cong( skol20, skol7( skol20, X )
% 27.01/27.40 , skol20, X ) }.
% 27.01/27.40 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 27.01/27.40 Z ) }.
% 27.01/27.40 parent1[0]: (62169) {G31,W6,D3,L1,V1,M1} R(60027,20006) { midp( skol20,
% 27.01/27.40 skol7( skol20, X ), X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol7( skol20, X )
% 27.01/27.40 Z := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (62541) {G32,W7,D3,L1,V1,M1} R(62169,68) { cong( skol20, skol7
% 27.01/27.40 ( skol20, X ), skol20, X ) }.
% 27.01/27.40 parent0: (66652) {G1,W7,D3,L1,V1,M1} { cong( skol20, skol7( skol20, X ),
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66653) {G3,W5,D2,L1,V1,M1} { cong( skol20, X, skol20, X ) }.
% 27.01/27.40 parent0[0]: (542) {G2,W10,D2,L2,V4,M2} F(525) { ! cong( X, Y, Z, T ), cong
% 27.01/27.40 ( Z, T, Z, T ) }.
% 27.01/27.40 parent1[0]: (62541) {G32,W7,D3,L1,V1,M1} R(62169,68) { cong( skol20, skol7
% 27.01/27.40 ( skol20, X ), skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol7( skol20, X )
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (62573) {G33,W5,D2,L1,V1,M1} R(62541,542) { cong( skol20, X,
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 parent0: (66653) {G3,W5,D2,L1,V1,M1} { cong( skol20, X, skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66654) {G2,W10,D2,L2,V2,M2} { ! cong( skol20, Y, skol20, Y )
% 27.01/27.40 , perp( X, Y, skol20, skol20 ) }.
% 27.01/27.40 parent0[0]: (1562) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 27.01/27.40 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 27.01/27.40 parent1[0]: (62573) {G33,W5,D2,L1,V1,M1} R(62541,542) { cong( skol20, X,
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := X
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := Y
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66656) {G3,W5,D2,L1,V2,M1} { perp( Y, X, skol20, skol20 ) }.
% 27.01/27.40 parent0[0]: (66654) {G2,W10,D2,L2,V2,M2} { ! cong( skol20, Y, skol20, Y )
% 27.01/27.40 , perp( X, Y, skol20, skol20 ) }.
% 27.01/27.40 parent1[0]: (62573) {G33,W5,D2,L1,V1,M1} R(62541,542) { cong( skol20, X,
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := Y
% 27.01/27.40 Y := X
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (62660) {G34,W5,D2,L1,V2,M1} R(62573,1562);r(62573) { perp( Y
% 27.01/27.40 , X, skol20, skol20 ) }.
% 27.01/27.40 parent0: (66656) {G3,W5,D2,L1,V2,M1} { perp( Y, X, skol20, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66657) {G3,W10,D2,L2,V3,M2} { ! cong( skol20, X, skol20, X )
% 27.01/27.40 , para( Y, Z, X, X ) }.
% 27.01/27.40 parent0[1]: (1564) {G2,W15,D2,L3,V5,M3} F(1561) { ! cong( X, Y, Z, Y ), !
% 27.01/27.40 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 27.01/27.40 parent1[0]: (62660) {G34,W5,D2,L1,V2,M1} R(62573,1562);r(62573) { perp( Y,
% 27.01/27.40 X, skol20, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := X
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := Y
% 27.01/27.40 U := Z
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := Z
% 27.01/27.40 Y := Y
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66658) {G4,W5,D2,L1,V3,M1} { para( Y, Z, X, X ) }.
% 27.01/27.40 parent0[0]: (66657) {G3,W10,D2,L2,V3,M2} { ! cong( skol20, X, skol20, X )
% 27.01/27.40 , para( Y, Z, X, X ) }.
% 27.01/27.40 parent1[0]: (62573) {G33,W5,D2,L1,V1,M1} R(62541,542) { cong( skol20, X,
% 27.01/27.40 skol20, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (62705) {G35,W5,D2,L1,V3,M1} R(62660,1564);r(62573) { para( Y
% 27.01/27.40 , Z, X, X ) }.
% 27.01/27.40 parent0: (66658) {G4,W5,D2,L1,V3,M1} { para( Y, Z, X, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66659) {G2,W10,D2,L2,V4,M2} { ! para( X, Y, skol20, skol20 )
% 27.01/27.40 , perp( X, Y, Z, T ) }.
% 27.01/27.40 parent0[2]: (306) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 27.01/27.40 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.01/27.40 parent1[0]: (62660) {G34,W5,D2,L1,V2,M1} R(62573,1562);r(62573) { perp( Y,
% 27.01/27.40 X, skol20, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := skol20
% 27.01/27.40 U := Z
% 27.01/27.40 W := T
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := T
% 27.01/27.40 Y := Z
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66660) {G3,W5,D2,L1,V4,M1} { perp( X, Y, Z, T ) }.
% 27.01/27.40 parent0[0]: (66659) {G2,W10,D2,L2,V4,M2} { ! para( X, Y, skol20, skol20 )
% 27.01/27.40 , perp( X, Y, Z, T ) }.
% 27.01/27.40 parent1[0]: (62705) {G35,W5,D2,L1,V3,M1} R(62660,1564);r(62573) { para( Y,
% 27.01/27.40 Z, X, X ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := X
% 27.01/27.40 Z := Y
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (62726) {G36,W5,D2,L1,V4,M1} R(62660,306);r(62705) { perp( X,
% 27.01/27.40 Y, Z, T ) }.
% 27.01/27.40 parent0: (66660) {G3,W5,D2,L1,V4,M1} { perp( X, Y, Z, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66661) {G2,W10,D2,L2,V4,M2} { ! perp( skol20, skol20, Z, T )
% 27.01/27.40 , para( Z, T, X, Y ) }.
% 27.01/27.40 parent0[0]: (287) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 27.01/27.40 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 27.01/27.40 parent1[0]: (62660) {G34,W5,D2,L1,V2,M1} R(62573,1562);r(62573) { perp( Y,
% 27.01/27.40 X, skol20, skol20 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := skol20
% 27.01/27.40 T := skol20
% 27.01/27.40 U := Z
% 27.01/27.40 W := T
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := Y
% 27.01/27.40 Y := X
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66663) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 27.01/27.40 parent0[0]: (66661) {G2,W10,D2,L2,V4,M2} { ! perp( skol20, skol20, Z, T )
% 27.01/27.40 , para( Z, T, X, Y ) }.
% 27.01/27.40 parent1[0]: (62726) {G36,W5,D2,L1,V4,M1} R(62660,306);r(62705) { perp( X, Y
% 27.01/27.40 , Z, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := Z
% 27.01/27.40 Y := T
% 27.01/27.40 Z := X
% 27.01/27.40 T := Y
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol20
% 27.01/27.40 Z := X
% 27.01/27.40 T := Y
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (62728) {G37,W5,D2,L1,V4,M1} R(62660,287);r(62726) { para( X,
% 27.01/27.40 Y, Z, T ) }.
% 27.01/27.40 parent0: (66663) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66664) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T
% 27.01/27.40 ) }.
% 27.01/27.40 parent0[0]: (790) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 27.01/27.40 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 27.01/27.40 parent1[0]: (62728) {G37,W5,D2,L1,V4,M1} R(62660,287);r(62726) { para( X, Y
% 27.01/27.40 , Z, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 U := U
% 27.01/27.40 W := W
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (62773) {G38,W9,D2,L1,V6,M1} R(62728,790) { eqangle( X, Y, Z,
% 27.01/27.40 T, X, Y, U, W ) }.
% 27.01/27.40 parent0: (66664) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T )
% 27.01/27.40 }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := Z
% 27.01/27.40 Y := T
% 27.01/27.40 Z := U
% 27.01/27.40 T := W
% 27.01/27.40 U := X
% 27.01/27.40 W := Y
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66665) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 27.01/27.40 ) }.
% 27.01/27.40 parent0[0]: (788) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 27.01/27.40 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 27.01/27.40 parent1[0]: (62728) {G37,W5,D2,L1,V4,M1} R(62660,287);r(62726) { para( X, Y
% 27.01/27.40 , Z, T ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 U := U
% 27.01/27.40 W := W
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (62774) {G38,W9,D2,L1,V6,M1} R(62728,788) { eqangle( X, Y, Z,
% 27.01/27.40 T, U, W, U, W ) }.
% 27.01/27.40 parent0: (66665) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 27.01/27.40 }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 U := U
% 27.01/27.40 W := W
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66667) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 27.01/27.40 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 27.01/27.40 parent0[2]: (446) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U
% 27.01/27.40 , W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2
% 27.01/27.40 , V3, V0, V1, V4, V5 ) }.
% 27.01/27.40 parent1[0]: (62773) {G38,W9,D2,L1,V6,M1} R(62728,790) { eqangle( X, Y, Z, T
% 27.01/27.40 , X, Y, U, W ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 U := U
% 27.01/27.40 W := W
% 27.01/27.40 V0 := U
% 27.01/27.40 V1 := W
% 27.01/27.40 V2 := V0
% 27.01/27.40 V3 := V1
% 27.01/27.40 V4 := V2
% 27.01/27.40 V5 := V3
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := U
% 27.01/27.40 Y := W
% 27.01/27.40 Z := V0
% 27.01/27.40 T := V1
% 27.01/27.40 U := V2
% 27.01/27.40 W := V3
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66668) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2
% 27.01/27.40 , V3 ) }.
% 27.01/27.40 parent0[0]: (66667) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 27.01/27.40 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 27.01/27.40 parent1[0]: (62774) {G38,W9,D2,L1,V6,M1} R(62728,788) { eqangle( X, Y, Z, T
% 27.01/27.40 , U, W, U, W ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 U := U
% 27.01/27.40 W := W
% 27.01/27.40 V0 := V0
% 27.01/27.40 V1 := V1
% 27.01/27.40 V2 := V2
% 27.01/27.40 V3 := V3
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 U := U
% 27.01/27.40 W := W
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (65658) {G39,W9,D2,L1,V8,M1} R(62773,446);r(62774) { eqangle(
% 27.01/27.40 X, Y, Z, T, V0, V1, V2, V3 ) }.
% 27.01/27.40 parent0: (66668) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2, V3
% 27.01/27.40 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 X := X
% 27.01/27.40 Y := Y
% 27.01/27.40 Z := Z
% 27.01/27.40 T := T
% 27.01/27.40 U := V4
% 27.01/27.40 W := V5
% 27.01/27.40 V0 := V0
% 27.01/27.40 V1 := V1
% 27.01/27.40 V2 := V2
% 27.01/27.40 V3 := V3
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 0 ==> 0
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 resolution: (66669) {G1,W0,D0,L0,V0,M0} { }.
% 27.01/27.40 parent0[0]: (121) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23
% 27.01/27.40 , skol24, skol24, skol23, skol23, skol22 ) }.
% 27.01/27.40 parent1[0]: (65658) {G39,W9,D2,L1,V8,M1} R(62773,446);r(62774) { eqangle( X
% 27.01/27.40 , Y, Z, T, V0, V1, V2, V3 ) }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 substitution1:
% 27.01/27.40 X := skol20
% 27.01/27.40 Y := skol23
% 27.01/27.40 Z := skol23
% 27.01/27.40 T := skol24
% 27.01/27.40 U := X
% 27.01/27.40 W := Y
% 27.01/27.40 V0 := skol24
% 27.01/27.40 V1 := skol23
% 27.01/27.40 V2 := skol23
% 27.01/27.40 V3 := skol22
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 subsumption: (65663) {G40,W0,D0,L0,V0,M0} R(65658,121) { }.
% 27.01/27.40 parent0: (66669) {G1,W0,D0,L0,V0,M0} { }.
% 27.01/27.40 substitution0:
% 27.01/27.40 end
% 27.01/27.40 permutation0:
% 27.01/27.40 end
% 27.01/27.40
% 27.01/27.40 Proof check complete!
% 27.01/27.40
% 27.01/27.40 Memory use:
% 27.01/27.40
% 27.01/27.40 space for terms: 961746
% 27.01/27.40 space for clauses: 3136624
% 27.01/27.40
% 27.01/27.40
% 27.01/27.40 clauses generated: 534864
% 27.01/27.40 clauses kept: 65664
% 27.01/27.40 clauses selected: 3732
% 27.01/27.40 clauses deleted: 25813
% 27.01/27.40 clauses inuse deleted: 2732
% 27.01/27.40
% 27.01/27.40 subsentry: 12381315
% 27.01/27.40 literals s-matched: 8271497
% 27.01/27.40 literals matched: 4454025
% 27.01/27.40 full subsumption: 2172536
% 27.01/27.40
% 27.01/27.40 checksum: -514084547
% 27.01/27.40
% 27.01/27.40
% 27.01/27.40 Bliksem ended
%------------------------------------------------------------------------------