%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO590+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 02:54:56 EDT 2022
% Result : Theorem 4.62s 5.03s
% Output : Refutation 4.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO590+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 17:01:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.15 *** allocated 10000 integers for termspace/termends
% 0.45/1.15 *** allocated 10000 integers for clauses
% 0.45/1.15 *** allocated 10000 integers for justifications
% 0.45/1.15 Bliksem 1.12
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Automatic Strategy Selection
% 0.45/1.15
% 0.45/1.15 *** allocated 15000 integers for termspace/termends
% 0.45/1.15
% 0.45/1.15 Clauses:
% 0.45/1.15
% 0.45/1.15 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.45/1.15 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.45/1.15 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.45/1.15 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.45/1.15 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.45/1.15 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.45/1.15 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.45/1.15 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.45/1.15 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.45/1.15 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.45/1.15 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.45/1.15 ( X, Y, Z, T ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.45/1.15 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.45/1.15 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.45/1.15 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.45/1.15 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.45/1.15 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.45/1.15 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.45/1.15 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.45/1.15 ( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.45/1.15 ( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.45/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.45/1.15 T ) }.
% 0.45/1.15 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.45/1.15 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.45/1.15 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.45/1.15 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.45/1.15 ) }.
% 0.45/1.15 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.45/1.15 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.45/1.15 }.
% 0.45/1.15 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.45/1.15 Z, Y ) }.
% 0.45/1.15 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.45/1.15 X, Z ) }.
% 0.45/1.15 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.45/1.15 U ) }.
% 0.45/1.15 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.45/1.15 , Z ), midp( Z, X, Y ) }.
% 0.45/1.15 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.45/1.15 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.45/1.15 Z, Y ) }.
% 0.45/1.15 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.45/1.15 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.45/1.15 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.45/1.15 ( Y, X, X, Z ) }.
% 0.45/1.15 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.45/1.15 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.45/1.15 , W ) }.
% 0.45/1.15 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.45/1.15 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.45/1.15 , Y ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.45/1.15 , X, Z, U, Y, Y, T ) }.
% 0.45/1.15 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.45/1.15 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.45/1.15 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.45/1.15 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.45/1.15 .
% 0.45/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.45/1.15 , Z, T ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.45/1.15 , Z, T ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.45/1.15 , Z, T ) }.
% 0.45/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.45/1.15 , W, Z, T ), Z, T ) }.
% 0.45/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.45/1.15 , Y, Z, T ), X, Y ) }.
% 0.45/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.45/1.15 , W, Z, T ), Z, T ) }.
% 0.45/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.45/1.15 skol2( X, Y, Z, T ) ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.45/1.15 , W, Z, T ), Z, T ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.45/1.15 skol3( X, Y, Z, T ) ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.45/1.15 , T ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.45/1.15 ) ) }.
% 0.45/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.45/1.15 skol5( W, Y, Z, T ) ) }.
% 0.45/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.45/1.15 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.45/1.15 , X, T ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.45/1.15 W, X, Z ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.45/1.15 , Y, T ) }.
% 0.45/1.15 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.45/1.15 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.45/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.45/1.15 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.45/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.45/1.15 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.45/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.45/1.15 Z, T ) ) }.
% 0.45/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.45/1.15 , T ) ) }.
% 0.45/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.45/1.15 , X, Y ) }.
% 0.45/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.45/1.15 ) }.
% 0.45/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.45/1.15 , Y ) }.
% 0.45/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.45/1.15 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.45/1.15 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.45/1.15 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.45/1.15 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.62/5.03 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.62/5.03 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.62/5.03 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.62/5.03 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.62/5.03 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.62/5.03 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.62/5.03 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.62/5.03 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.62/5.03 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.62/5.03 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.62/5.03 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.62/5.03 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.62/5.03 X, Y, Z ) }.
% 4.62/5.03 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.62/5.03 }.
% 4.62/5.03 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.62/5.03 ) }.
% 4.62/5.03 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.62/5.03 skol17( X, Y ), X, Y ) }.
% 4.62/5.03 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.62/5.03 }.
% 4.62/5.03 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.62/5.03 ) }.
% 4.62/5.03 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.62/5.03 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.62/5.03 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.62/5.03 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.62/5.03 { perp( skol20, skol24, skol20, skol25 ) }.
% 4.62/5.03 { midp( skol26, skol25, skol24 ) }.
% 4.62/5.03 { perp( skol24, skol25, skol24, skol22 ) }.
% 4.62/5.03 { perp( skol20, skol26, skol20, skol22 ) }.
% 4.62/5.03 { coll( skol23, skol24, skol22 ) }.
% 4.62/5.03 { coll( skol23, skol25, skol20 ) }.
% 4.62/5.03 { ! cong( skol22, skol20, skol22, skol23 ) }.
% 4.62/5.03
% 4.62/5.03 percentage equality = 0.008798, percentage horn = 0.926829
% 4.62/5.03 This is a problem with some equality
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Options Used:
% 4.62/5.03
% 4.62/5.03 useres = 1
% 4.62/5.03 useparamod = 1
% 4.62/5.03 useeqrefl = 1
% 4.62/5.03 useeqfact = 1
% 4.62/5.03 usefactor = 1
% 4.62/5.03 usesimpsplitting = 0
% 4.62/5.03 usesimpdemod = 5
% 4.62/5.03 usesimpres = 3
% 4.62/5.03
% 4.62/5.03 resimpinuse = 1000
% 4.62/5.03 resimpclauses = 20000
% 4.62/5.03 substype = eqrewr
% 4.62/5.03 backwardsubs = 1
% 4.62/5.03 selectoldest = 5
% 4.62/5.03
% 4.62/5.03 litorderings [0] = split
% 4.62/5.03 litorderings [1] = extend the termordering, first sorting on arguments
% 4.62/5.03
% 4.62/5.03 termordering = kbo
% 4.62/5.03
% 4.62/5.03 litapriori = 0
% 4.62/5.03 termapriori = 1
% 4.62/5.03 litaposteriori = 0
% 4.62/5.03 termaposteriori = 0
% 4.62/5.03 demodaposteriori = 0
% 4.62/5.03 ordereqreflfact = 0
% 4.62/5.03
% 4.62/5.03 litselect = negord
% 4.62/5.03
% 4.62/5.03 maxweight = 15
% 4.62/5.03 maxdepth = 30000
% 4.62/5.03 maxlength = 115
% 4.62/5.03 maxnrvars = 195
% 4.62/5.03 excuselevel = 1
% 4.62/5.03 increasemaxweight = 1
% 4.62/5.03
% 4.62/5.03 maxselected = 10000000
% 4.62/5.03 maxnrclauses = 10000000
% 4.62/5.03
% 4.62/5.03 showgenerated = 0
% 4.62/5.03 showkept = 0
% 4.62/5.03 showselected = 0
% 4.62/5.03 showdeleted = 0
% 4.62/5.03 showresimp = 1
% 4.62/5.03 showstatus = 2000
% 4.62/5.03
% 4.62/5.03 prologoutput = 0
% 4.62/5.03 nrgoals = 5000000
% 4.62/5.03 totalproof = 1
% 4.62/5.03
% 4.62/5.03 Symbols occurring in the translation:
% 4.62/5.03
% 4.62/5.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.62/5.03 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 4.62/5.03 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 4.62/5.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.62/5.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.62/5.03 coll [38, 3] (w:1, o:63, a:1, s:1, b:0),
% 4.62/5.03 para [40, 4] (w:1, o:71, a:1, s:1, b:0),
% 4.62/5.03 perp [43, 4] (w:1, o:72, a:1, s:1, b:0),
% 4.62/5.03 midp [45, 3] (w:1, o:64, a:1, s:1, b:0),
% 4.62/5.03 cong [47, 4] (w:1, o:73, a:1, s:1, b:0),
% 4.62/5.03 circle [48, 4] (w:1, o:74, a:1, s:1, b:0),
% 4.62/5.03 cyclic [49, 4] (w:1, o:75, a:1, s:1, b:0),
% 4.62/5.03 eqangle [54, 8] (w:1, o:90, a:1, s:1, b:0),
% 4.62/5.03 eqratio [57, 8] (w:1, o:91, a:1, s:1, b:0),
% 4.62/5.03 simtri [59, 6] (w:1, o:87, a:1, s:1, b:0),
% 4.62/5.03 contri [60, 6] (w:1, o:88, a:1, s:1, b:0),
% 4.62/5.03 alpha1 [64, 3] (w:1, o:65, a:1, s:1, b:1),
% 4.62/5.03 alpha2 [65, 4] (w:1, o:76, a:1, s:1, b:1),
% 4.62/5.03 skol1 [66, 4] (w:1, o:77, a:1, s:1, b:1),
% 4.62/5.03 skol2 [67, 4] (w:1, o:79, a:1, s:1, b:1),
% 4.62/5.03 skol3 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 4.62/5.03 skol4 [69, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.62/5.03 skol5 [70, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.62/5.03 skol6 [71, 6] (w:1, o:89, a:1, s:1, b:1),
% 4.62/5.03 skol7 [72, 2] (w:1, o:59, a:1, s:1, b:1),
% 4.62/5.03 skol8 [73, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.62/5.03 skol9 [74, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.62/5.03 skol10 [75, 3] (w:1, o:66, a:1, s:1, b:1),
% 4.62/5.03 skol11 [76, 3] (w:1, o:67, a:1, s:1, b:1),
% 4.62/5.03 skol12 [77, 2] (w:1, o:60, a:1, s:1, b:1),
% 4.62/5.03 skol13 [78, 5] (w:1, o:86, a:1, s:1, b:1),
% 4.62/5.03 skol14 [79, 3] (w:1, o:68, a:1, s:1, b:1),
% 4.62/5.03 skol15 [80, 3] (w:1, o:69, a:1, s:1, b:1),
% 4.62/5.03 skol16 [81, 3] (w:1, o:70, a:1, s:1, b:1),
% 4.62/5.03 skol17 [82, 2] (w:1, o:61, a:1, s:1, b:1),
% 4.62/5.03 skol18 [83, 2] (w:1, o:62, a:1, s:1, b:1),
% 4.62/5.03 skol19 [84, 4] (w:1, o:78, a:1, s:1, b:1),
% 4.62/5.03 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 4.62/5.03 skol21 [86, 4] (w:1, o:80, a:1, s:1, b:1),
% 4.62/5.03 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 4.62/5.03 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 4.62/5.03 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 4.62/5.03 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 4.62/5.03 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1).
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Starting Search:
% 4.62/5.03
% 4.62/5.03 *** allocated 15000 integers for clauses
% 4.62/5.03 *** allocated 22500 integers for clauses
% 4.62/5.03 *** allocated 33750 integers for clauses
% 4.62/5.03 *** allocated 50625 integers for clauses
% 4.62/5.03 *** allocated 22500 integers for termspace/termends
% 4.62/5.03 *** allocated 75937 integers for clauses
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 *** allocated 33750 integers for termspace/termends
% 4.62/5.03 *** allocated 113905 integers for clauses
% 4.62/5.03 *** allocated 50625 integers for termspace/termends
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 10849
% 4.62/5.03 Kept: 2006
% 4.62/5.03 Inuse: 331
% 4.62/5.03 Deleted: 0
% 4.62/5.03 Deletedinuse: 0
% 4.62/5.03
% 4.62/5.03 *** allocated 170857 integers for clauses
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 *** allocated 75937 integers for termspace/termends
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 *** allocated 256285 integers for clauses
% 4.62/5.03 *** allocated 113905 integers for termspace/termends
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 22342
% 4.62/5.03 Kept: 4045
% 4.62/5.03 Inuse: 471
% 4.62/5.03 Deleted: 0
% 4.62/5.03 Deletedinuse: 0
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 *** allocated 384427 integers for clauses
% 4.62/5.03 *** allocated 170857 integers for termspace/termends
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 34782
% 4.62/5.03 Kept: 6055
% 4.62/5.03 Inuse: 546
% 4.62/5.03 Deleted: 0
% 4.62/5.03 Deletedinuse: 0
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 *** allocated 576640 integers for clauses
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 49114
% 4.62/5.03 Kept: 8059
% 4.62/5.03 Inuse: 715
% 4.62/5.03 Deleted: 149
% 4.62/5.03 Deletedinuse: 52
% 4.62/5.03
% 4.62/5.03 *** allocated 256285 integers for termspace/termends
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 58110
% 4.62/5.03 Kept: 10092
% 4.62/5.03 Inuse: 864
% 4.62/5.03 Deleted: 848
% 4.62/5.03 Deletedinuse: 571
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 *** allocated 864960 integers for clauses
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 66739
% 4.62/5.03 Kept: 12104
% 4.62/5.03 Inuse: 1016
% 4.62/5.03 Deleted: 850
% 4.62/5.03 Deletedinuse: 571
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 76509
% 4.62/5.03 Kept: 14106
% 4.62/5.03 Inuse: 1165
% 4.62/5.03 Deleted: 855
% 4.62/5.03 Deletedinuse: 571
% 4.62/5.03
% 4.62/5.03 *** allocated 384427 integers for termspace/termends
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 84948
% 4.62/5.03 Kept: 16111
% 4.62/5.03 Inuse: 1288
% 4.62/5.03 Deleted: 889
% 4.62/5.03 Deletedinuse: 571
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 *** allocated 1297440 integers for clauses
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 100381
% 4.62/5.03 Kept: 18120
% 4.62/5.03 Inuse: 1542
% 4.62/5.03 Deleted: 930
% 4.62/5.03 Deletedinuse: 571
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 Resimplifying clauses:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 124329
% 4.62/5.03 Kept: 20135
% 4.62/5.03 Inuse: 1960
% 4.62/5.03 Deleted: 6848
% 4.62/5.03 Deletedinuse: 578
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 133285
% 4.62/5.03 Kept: 22150
% 4.62/5.03 Inuse: 2056
% 4.62/5.03 Deleted: 6952
% 4.62/5.03 Deletedinuse: 679
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Intermediate Status:
% 4.62/5.03 Generated: 142017
% 4.62/5.03 Kept: 24153
% 4.62/5.03 Inuse: 2140
% 4.62/5.03 Deleted: 6992
% 4.62/5.03 Deletedinuse: 709
% 4.62/5.03
% 4.62/5.03 Resimplifying inuse:
% 4.62/5.03 Done
% 4.62/5.03
% 4.62/5.03 *** allocated 576640 integers for termspace/termends
% 4.62/5.03
% 4.62/5.03 Bliksems!, er is een bewijs:
% 4.62/5.03 % SZS status Theorem
% 4.62/5.03 % SZS output start Refutation
% 4.62/5.03
% 4.62/5.03 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.62/5.03 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.62/5.03 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 4.62/5.03 , Z, X ) }.
% 4.62/5.03 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 4.62/5.03 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 4.62/5.03 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 4.62/5.03 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 4.62/5.03 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 4.62/5.03 para( X, Y, Z, T ) }.
% 4.62/5.03 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 4.62/5.03 perp( X, Y, Z, T ) }.
% 4.62/5.03 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.62/5.03 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 4.62/5.03 circle( T, X, Y, Z ) }.
% 4.62/5.03 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 4.62/5.03 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.62/5.03 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 4.62/5.03 }.
% 4.62/5.03 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 4.62/5.03 }.
% 4.62/5.03 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 4.62/5.03 }.
% 4.62/5.03 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 4.62/5.03 ), cyclic( X, Y, Z, T ) }.
% 4.62/5.03 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.62/5.03 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.62/5.03 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.62/5.03 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.62/5.03 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.62/5.03 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.62/5.03 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.62/5.03 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.62/5.03 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.62/5.03 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 4.62/5.03 V1 ) }.
% 4.62/5.03 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 4.62/5.03 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 4.62/5.03 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 4.62/5.03 cong( X, Y, Z, T ) }.
% 4.62/5.03 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 4.62/5.03 , Y, Z, T ) }.
% 4.62/5.03 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 4.62/5.03 , T, U, W ) }.
% 4.62/5.03 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 4.62/5.03 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.62/5.03 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 4.62/5.03 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.62/5.03 , Y, Z, T ) }.
% 4.62/5.03 (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X
% 4.62/5.03 , Y, Z, Y ) }.
% 4.62/5.03 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 4.62/5.03 ( X, Z, Y, Z ) }.
% 4.62/5.03 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 4.62/5.03 perp( X, Y, Z, T ) }.
% 4.62/5.03 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 4.62/5.03 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.62/5.03 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 4.62/5.03 , Z, Y, T ) }.
% 4.62/5.03 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 4.62/5.03 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.62/5.03 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.62/5.03 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.62/5.03 (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X
% 4.62/5.03 , Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.62/5.03 (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp
% 4.62/5.03 ( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.62/5.03 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 4.62/5.03 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.62/5.03 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 4.62/5.03 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.62/5.03 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 4.62/5.03 , X, X, Y ) }.
% 4.62/5.03 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.62/5.03 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.62/5.03 (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol24, skol20, skol25 ) }.
% 4.62/5.03 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol24 ) }.
% 4.62/5.03 (122) {G0,W5,D2,L1,V0,M1} I { ! cong( skol22, skol20, skol22, skol23 ) }.
% 4.62/5.03 (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 4.62/5.03 ) }.
% 4.62/5.03 (128) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 4.62/5.03 ), cyclic( Y, Z, T, T ) }.
% 4.62/5.03 (129) {G2,W10,D2,L2,V3,M2} F(128) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 4.62/5.03 Z ) }.
% 4.62/5.03 (130) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 4.62/5.03 , T ) }.
% 4.62/5.03 (133) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), ! cyclic( X, Y,
% 4.62/5.03 Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 4.62/5.03 (135) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp( X, Z, Y, Y )
% 4.62/5.03 }.
% 4.62/5.03 (136) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 4.62/5.03 , Y ), perp( Y, X, X, Y ) }.
% 4.62/5.03 (138) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 4.62/5.03 (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 4.62/5.03 , midp( X, T, T ) }.
% 4.62/5.03 (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 4.62/5.03 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.62/5.03 (151) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp( X, skol10( X
% 4.62/5.03 , X, Z ), Z, X ) }.
% 4.62/5.03 (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 4.62/5.03 (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 4.62/5.03 (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 4.62/5.03 coll( Z, X, T ) }.
% 4.62/5.03 (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 4.62/5.03 (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 4.62/5.03 coll( X, Z, T ) }.
% 4.62/5.03 (217) {G3,W8,D2,L2,V3,M2} R(194,1) { coll( X, Y, X ), ! coll( Z, Y, X ) }.
% 4.62/5.03 (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 4.62/5.03 (265) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 4.62/5.03 ) }.
% 4.62/5.03 (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 4.62/5.03 ) }.
% 4.62/5.03 (267) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol20, skol25, skol20, skol24 )
% 4.62/5.03 }.
% 4.62/5.03 (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 4.62/5.03 ), ! perp( U, W, Z, T ) }.
% 4.62/5.03 (279) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 4.62/5.03 ), ! perp( U, W, Y, X ) }.
% 4.62/5.03 (283) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 4.62/5.03 W ), para( U, W, X, Y ) }.
% 4.62/5.03 (292) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 4.62/5.03 ) }.
% 4.62/5.03 (310) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp( U, W, Z, T
% 4.62/5.03 ), ! para( U, W, Y, X ) }.
% 4.62/5.03 (321) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol26, skol24, skol25 ) }.
% 4.62/5.03 (352) {G2,W5,D2,L1,V0,M1} R(267,6) { perp( skol20, skol25, skol24, skol20 )
% 4.62/5.03 }.
% 4.62/5.03 (354) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 4.62/5.03 , T, Y ) }.
% 4.62/5.03 (358) {G3,W5,D2,L1,V0,M1} R(352,7) { perp( skol24, skol20, skol20, skol25 )
% 4.62/5.03 }.
% 4.62/5.03 (362) {G4,W5,D2,L1,V0,M1} R(358,6) { perp( skol24, skol20, skol25, skol20 )
% 4.62/5.03 }.
% 4.62/5.03 (366) {G5,W5,D2,L1,V0,M1} R(362,7) { perp( skol25, skol20, skol24, skol20 )
% 4.62/5.03 }.
% 4.62/5.03 (370) {G6,W5,D2,L1,V0,M1} R(366,6) { perp( skol25, skol20, skol20, skol24 )
% 4.62/5.03 }.
% 4.62/5.03 (372) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.62/5.03 , X, T ) }.
% 4.62/5.03 (380) {G7,W10,D2,L2,V2,M2} R(370,8) { ! perp( skol20, skol24, X, Y ), para
% 4.62/5.03 ( skol25, skol20, X, Y ) }.
% 4.62/5.03 (403) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.62/5.03 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.62/5.03 (455) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.62/5.03 ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 4.62/5.03 (456) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.62/5.03 ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 4.62/5.03 (457) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 4.62/5.03 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 4.62/5.03 (462) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 4.62/5.03 (468) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.62/5.03 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 4.62/5.03 (470) {G6,W8,D2,L2,V3,M2} R(462,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 4.62/5.03 (471) {G6,W8,D2,L2,V3,M2} R(462,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 4.62/5.03 (472) {G7,W8,D2,L2,V3,M2} R(470,462) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 4.62/5.03 }.
% 4.62/5.03 (475) {G7,W8,D2,L2,V3,M2} R(471,471) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 4.62/5.03 }.
% 4.62/5.03 (480) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 4.62/5.03 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0,
% 4.62/5.03 V1, V4, V5 ) }.
% 4.62/5.03 (490) {G8,W12,D2,L3,V4,M3} R(475,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 4.62/5.03 , coll( T, Y, X ) }.
% 4.62/5.03 (491) {G9,W8,D2,L2,V3,M2} F(490) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 4.62/5.03 (494) {G10,W8,D2,L2,V3,M2} R(491,472) { coll( X, X, Y ), ! coll( Z, Y, X )
% 4.62/5.03 }.
% 4.62/5.03 (495) {G10,W8,D2,L2,V3,M2} R(491,470) { coll( X, X, Y ), ! coll( Z, X, Y )
% 4.62/5.03 }.
% 4.62/5.03 (519) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ), cong( Z, T, Y,
% 4.62/5.03 X ) }.
% 4.62/5.03 (539) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( X, Y, U,
% 4.62/5.03 W ), ! cong( U, W, Z, T ) }.
% 4.62/5.03 (552) {G2,W10,D2,L2,V4,M2} F(539) { ! cong( X, Y, Z, T ), cong( X, Y, X, Y
% 4.62/5.03 ) }.
% 4.62/5.03 (566) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 4.62/5.03 }.
% 4.62/5.03 (573) {G11,W8,D2,L2,V3,M2} R(69,495) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 4.62/5.03 }.
% 4.62/5.03 (587) {G2,W4,D2,L1,V0,M1} R(69,321) { coll( skol26, skol24, skol25 ) }.
% 4.62/5.03 (592) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 4.62/5.03 (593) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol26, skol25, skol24 ) }.
% 4.62/5.03 (598) {G4,W4,D2,L1,V0,M1} R(587,217) { coll( skol25, skol24, skol25 ) }.
% 4.62/5.03 (603) {G11,W4,D2,L1,V0,M1} R(587,494) { coll( skol25, skol25, skol24 ) }.
% 4.62/5.03 (661) {G2,W8,D2,L2,V1,M2} R(593,2) { ! coll( skol26, skol25, X ), coll(
% 4.62/5.03 skol24, X, skol26 ) }.
% 4.62/5.03 (723) {G1,W19,D2,L3,V8,M3} R(38,9) { ! eqangle( X, Y, Z, T, U, W, Z, T ), !
% 4.62/5.03 perp( U, W, V0, V1 ), perp( X, Y, V0, V1 ) }.
% 4.62/5.03 (732) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 4.62/5.03 Z, T, U, W, U, W ) }.
% 4.62/5.03 (734) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 4.62/5.03 X, Y, U, W, Z, T ) }.
% 4.62/5.03 (736) {G1,W19,D2,L3,V8,M3} R(39,8) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 4.62/5.03 perp( X, Y, V0, V1 ), ! perp( V0, V1, U, W ) }.
% 4.62/5.03 (748) {G3,W8,D2,L2,V1,M2} R(661,165) { coll( skol24, X, skol26 ), ! coll( X
% 4.62/5.03 , skol26, skol25 ) }.
% 4.62/5.03 (829) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 4.62/5.03 ), ! para( X, Z, X, Z ) }.
% 4.62/5.03 (964) {G1,W24,D2,L4,V2,M4} R(43,122) { ! cyclic( skol22, skol20, X, skol22
% 4.62/5.03 ), ! cyclic( skol22, skol20, X, skol23 ), ! cyclic( skol22, skol20, X, Y
% 4.62/5.03 ), ! eqangle( X, skol22, X, skol20, Y, skol22, Y, skol23 ) }.
% 4.62/5.03 (1677) {G4,W8,D2,L2,V1,M2} R(748,165) { ! coll( X, skol26, skol25 ), coll(
% 4.62/5.03 X, skol26, skol24 ) }.
% 4.62/5.03 (1729) {G5,W12,D2,L3,V2,M3} R(1677,2) { ! coll( X, skol26, skol25 ), ! coll
% 4.62/5.03 ( X, skol26, Y ), coll( skol24, Y, X ) }.
% 4.62/5.03 (1734) {G6,W8,D2,L2,V1,M2} F(1729) { ! coll( X, skol26, skol25 ), coll(
% 4.62/5.03 skol24, skol25, X ) }.
% 4.62/5.03 (2357) {G2,W5,D2,L1,V0,M1} R(68,321) { cong( skol26, skol24, skol26, skol25
% 4.62/5.03 ) }.
% 4.62/5.03 (2359) {G1,W5,D2,L1,V0,M1} R(68,117) { cong( skol26, skol25, skol26, skol24
% 4.62/5.03 ) }.
% 4.62/5.03 (2371) {G3,W5,D2,L1,V0,M1} R(2357,22) { cong( skol26, skol24, skol25,
% 4.62/5.03 skol26 ) }.
% 4.62/5.03 (2878) {G7,W8,D2,L2,V1,M2} R(1734,592) { coll( skol24, skol25, X ), ! midp
% 4.62/5.03 ( skol26, X, skol25 ) }.
% 4.62/5.03 (2881) {G7,W8,D2,L2,V1,M2} R(1734,566) { coll( skol24, skol25, X ), ! midp
% 4.62/5.03 ( skol26, skol25, X ) }.
% 4.62/5.03 (2904) {G8,W8,D2,L2,V1,M2} R(2878,0) { ! midp( skol26, X, skol25 ), coll(
% 4.62/5.03 skol24, X, skol25 ) }.
% 4.62/5.03 (6881) {G3,W5,D2,L1,V0,M1} R(125,2357) { circle( skol26, skol24, skol25,
% 4.62/5.03 skol25 ) }.
% 4.62/5.03 (6962) {G4,W7,D3,L1,V0,M1} R(6881,100) { perp( skol12( skol24, skol26 ),
% 4.62/5.03 skol24, skol24, skol26 ) }.
% 4.62/5.03 (7033) {G3,W5,D2,L1,V0,M1} R(129,2359) { cyclic( skol25, skol24, skol24,
% 4.62/5.03 skol24 ) }.
% 4.62/5.03 (7061) {G4,W5,D2,L1,V0,M1} R(130,7033) { cyclic( skol24, skol24, skol24,
% 4.62/5.03 skol24 ) }.
% 4.62/5.03 (7654) {G12,W14,D3,L3,V2,M3} R(145,2881);r(603) { ! midp( X, skol25, skol24
% 4.62/5.03 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol26, skol25, skol24
% 4.62/5.03 ) }.
% 4.62/5.03 (7665) {G9,W14,D3,L3,V2,M3} R(145,2904);r(598) { ! midp( X, skol24, skol25
% 4.62/5.03 ), midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol26, skol24, skol25
% 4.62/5.03 ) }.
% 4.62/5.03 (7757) {G10,W6,D3,L1,V1,M1} F(7665);r(321) { midp( skol7( skol24, X ),
% 4.62/5.03 skol24, X ) }.
% 4.62/5.03 (7758) {G13,W6,D3,L1,V1,M1} F(7654);r(117) { midp( skol7( skol25, X ),
% 4.62/5.03 skol25, X ) }.
% 4.62/5.03 (7806) {G14,W4,D2,L1,V1,M1} R(7758,573) { coll( skol25, skol25, X ) }.
% 4.62/5.03 (7865) {G15,W4,D2,L1,V2,M1} R(7806,2);r(7806) { coll( Y, X, skol25 ) }.
% 4.62/5.03 (7890) {G16,W4,D2,L1,V2,M1} R(7865,165) { coll( X, skol25, Y ) }.
% 4.62/5.03 (7903) {G17,W4,D2,L1,V3,M1} R(7890,2);r(7890) { coll( Z, Y, X ) }.
% 4.62/5.03 (7960) {G11,W5,D2,L1,V1,M1} R(7757,138) { para( skol24, skol24, X, X ) }.
% 4.62/5.03 (7980) {G12,W5,D2,L1,V1,M1} R(7960,4) { para( X, X, skol24, skol24 ) }.
% 4.62/5.03 (7984) {G13,W9,D2,L1,V3,M1} R(7980,39) { eqangle( X, X, Y, Z, skol24,
% 4.62/5.03 skol24, Y, Z ) }.
% 4.62/5.03 (8012) {G5,W7,D3,L1,V0,M1} R(6962,7) { perp( skol24, skol26, skol12( skol24
% 4.62/5.03 , skol26 ), skol24 ) }.
% 4.62/5.03 (8021) {G6,W7,D3,L1,V0,M1} R(8012,6) { perp( skol24, skol26, skol24, skol12
% 4.62/5.03 ( skol24, skol26 ) ) }.
% 4.62/5.03 (8029) {G7,W7,D3,L1,V0,M1} R(8021,7) { perp( skol24, skol12( skol24, skol26
% 4.62/5.03 ), skol24, skol26 ) }.
% 4.62/5.03 (8038) {G8,W7,D3,L1,V0,M1} R(8029,6) { perp( skol24, skol12( skol24, skol26
% 4.62/5.03 ), skol26, skol24 ) }.
% 4.62/5.03 (8047) {G9,W7,D3,L1,V0,M1} R(8038,7) { perp( skol26, skol24, skol24, skol12
% 4.62/5.03 ( skol24, skol26 ) ) }.
% 4.62/5.03 (8049) {G18,W8,D3,L1,V2,M1} R(8047,110);r(7903) { perp( skol16( skol26, X,
% 4.62/5.03 Y ), skol26, X, Y ) }.
% 4.62/5.03 (8264) {G19,W8,D3,L1,V2,M1} R(8049,7) { perp( X, Y, skol16( skol26, X, Y )
% 4.62/5.03 , skol26 ) }.
% 4.62/5.03 (8282) {G20,W8,D3,L1,V2,M1} R(8264,6) { perp( X, Y, skol26, skol16( skol26
% 4.62/5.03 , X, Y ) ) }.
% 4.62/5.03 (8286) {G21,W8,D3,L1,V3,M1} R(8282,110);r(7903) { perp( skol16( X, Y, Z ),
% 4.62/5.03 X, Y, Z ) }.
% 4.62/5.03 (8339) {G22,W8,D3,L1,V3,M1} R(266,8286) { perp( X, Y, Z, skol16( Z, X, Y )
% 4.62/5.03 ) }.
% 4.62/5.03 (8371) {G23,W8,D3,L1,V3,M1} R(8339,7) { perp( X, skol16( X, Y, Z ), Y, Z )
% 4.62/5.03 }.
% 4.62/5.03 (8443) {G24,W8,D3,L1,V2,M1} R(8371,151) { perp( X, skol10( X, X, Y ), Y, X
% 4.62/5.03 ) }.
% 4.62/5.03 (8697) {G25,W8,D3,L1,V2,M1} R(8443,7) { perp( X, Y, Y, skol10( Y, Y, X ) )
% 4.62/5.03 }.
% 4.62/5.03 (9353) {G26,W5,D2,L1,V2,M1} R(292,8697) { para( X, Y, X, Y ) }.
% 4.62/5.03 (9357) {G27,W8,D2,L2,V3,M2} R(9353,139) { ! midp( X, Y, Y ), midp( X, Z, Z
% 4.62/5.03 ) }.
% 4.62/5.03 (17238) {G14,W5,D2,L1,V0,M1} R(7984,133);f;r(7061) { cong( skol24, skol24,
% 4.62/5.03 skol24, skol24 ) }.
% 4.62/5.03 (17247) {G15,W5,D2,L1,V0,M1} R(17238,136);r(7061) { perp( skol24, skol24,
% 4.62/5.03 skol24, skol24 ) }.
% 4.62/5.03 (17263) {G16,W10,D2,L2,V2,M2} R(17247,310) { perp( X, Y, skol24, skol24 ),
% 4.62/5.03 ! para( X, Y, skol24, skol24 ) }.
% 4.62/5.03 (17280) {G16,W10,D2,L2,V2,M2} R(17247,279) { ! perp( skol24, skol24, X, Y )
% 4.62/5.03 , para( skol24, skol24, X, Y ) }.
% 4.62/5.03 (18552) {G4,W5,D2,L1,V0,M1} R(552,2371) { cong( skol26, skol24, skol26,
% 4.62/5.03 skol24 ) }.
% 4.62/5.03 (18839) {G5,W9,D2,L1,V0,M1} R(18552,46) { eqangle( skol26, skol24, skol24,
% 4.62/5.03 skol24, skol24, skol24, skol26, skol24 ) }.
% 4.62/5.03 (19344) {G6,W9,D2,L1,V0,M1} R(18839,468) { eqangle( skol24, skol26, skol24
% 4.62/5.03 , skol24, skol24, skol24, skol26, skol24 ) }.
% 4.62/5.03 (19348) {G17,W5,D2,L1,V0,M1} R(18839,71);r(17263) { perp( skol26, skol24,
% 4.62/5.03 skol24, skol24 ) }.
% 4.62/5.03 (19375) {G18,W5,D2,L1,V0,M1} R(19348,265) { perp( skol24, skol24, skol26,
% 4.62/5.03 skol24 ) }.
% 4.62/5.03 (19563) {G7,W9,D2,L1,V0,M1} R(19344,455) { eqangle( skol26, skol24, skol24
% 4.62/5.03 , skol24, skol24, skol24, skol24, skol26 ) }.
% 4.62/5.03 (19565) {G8,W9,D2,L1,V0,M1} R(19563,456) { eqangle( skol24, skol24, skol24
% 4.62/5.03 , skol26, skol24, skol26, skol24, skol24 ) }.
% 4.62/5.03 (19566) {G17,W5,D2,L1,V0,M1} R(19565,71);r(17280) { para( skol24, skol24,
% 4.62/5.03 skol24, skol26 ) }.
% 4.62/5.03 (19599) {G18,W5,D2,L1,V0,M1} R(19566,3) { para( skol24, skol24, skol26,
% 4.62/5.03 skol24 ) }.
% 4.62/5.03 (19653) {G19,W9,D2,L1,V2,M1} R(19599,39) { eqangle( skol24, skol24, X, Y,
% 4.62/5.03 skol26, skol24, X, Y ) }.
% 4.62/5.03 (19939) {G20,W9,D2,L1,V2,M1} R(19653,468) { eqangle( skol24, skol24, skol26
% 4.62/5.03 , skol24, X, Y, X, Y ) }.
% 4.62/5.03 (19945) {G21,W9,D2,L1,V2,M1} R(19939,457) { eqangle( X, Y, Y, X, skol24,
% 4.62/5.03 skol24, skol26, skol24 ) }.
% 4.62/5.03 (19952) {G22,W5,D2,L1,V2,M1} R(19945,73);r(19375) { perp( X, Y, Y, X ) }.
% 4.62/5.03 (19985) {G23,W5,D2,L1,V0,M1} R(19952,380) { para( skol25, skol20, skol24,
% 4.62/5.03 skol20 ) }.
% 4.62/5.03 (20128) {G27,W5,D2,L1,V3,M1} S(829);r(7903);r(9353) { cyclic( Z, Y, X, X )
% 4.62/5.03 }.
% 4.62/5.03 (20146) {G28,W5,D2,L1,V3,M1} R(20128,372) { cyclic( X, Y, Z, Y ) }.
% 4.62/5.03 (20148) {G28,W5,D2,L1,V3,M1} R(20128,354) { cyclic( X, Y, Y, Z ) }.
% 4.62/5.03 (20152) {G29,W5,D2,L1,V3,M1} R(20146,403);r(20148) { cyclic( Y, Y, Z, T )
% 4.66/5.03 }.
% 4.66/5.03 (20160) {G30,W5,D2,L1,V4,M1} R(20152,403);r(20152) { cyclic( X, Y, Z, T )
% 4.66/5.03 }.
% 4.66/5.03 (21680) {G24,W8,D2,L2,V1,M2} R(19985,64);r(19985) { ! midp( X, skol25,
% 4.66/5.03 skol24 ), midp( X, skol20, skol20 ) }.
% 4.66/5.03 (23997) {G25,W4,D2,L1,V0,M1} R(21680,117) { midp( skol26, skol20, skol20 )
% 4.66/5.03 }.
% 4.66/5.03 (24002) {G28,W4,D2,L1,V1,M1} R(23997,9357) { midp( skol26, X, X ) }.
% 4.66/5.03 (24022) {G29,W5,D2,L1,V1,M1} R(24002,68) { cong( skol26, X, skol26, X ) }.
% 4.66/5.03 (24027) {G29,W5,D2,L1,V2,M1} R(24002,52);r(19952) { cong( X, skol26, Y,
% 4.66/5.03 skol26 ) }.
% 4.66/5.03 (24099) {G30,W5,D2,L1,V2,M1} R(24027,519) { cong( X, skol26, skol26, Y )
% 4.66/5.03 }.
% 4.66/5.03 (24102) {G30,W5,D2,L1,V2,M1} R(24027,135) { perp( X, Y, skol26, skol26 )
% 4.66/5.03 }.
% 4.66/5.03 (24128) {G31,W5,D2,L1,V2,M1} R(24099,519) { cong( skol26, X, skol26, Y )
% 4.66/5.03 }.
% 4.66/5.03 (24151) {G32,W5,D2,L1,V2,M1} R(24128,56);r(24022) { perp( skol26, skol26, Y
% 4.66/5.03 , X ) }.
% 4.66/5.03 (24157) {G33,W9,D2,L1,V6,M1} R(24151,736);r(24102) { eqangle( X, Y, Z, T, U
% 4.66/5.03 , W, Z, T ) }.
% 4.66/5.03 (24158) {G34,W5,D2,L1,V4,M1} R(24151,723);r(24157) { perp( X, Y, U, W ) }.
% 4.66/5.03 (24170) {G35,W5,D2,L1,V4,M1} R(24151,283);r(24158) { para( Z, T, X, Y ) }.
% 4.66/5.03 (24179) {G36,W9,D2,L1,V6,M1} R(24170,734) { eqangle( X, Y, Z, T, X, Y, U, W
% 4.66/5.03 ) }.
% 4.66/5.03 (24180) {G36,W9,D2,L1,V6,M1} R(24170,732) { eqangle( X, Y, Z, T, U, W, U, W
% 4.66/5.03 ) }.
% 4.66/5.03 (24687) {G31,W9,D2,L1,V2,M1} S(964);r(20160);r(20160);r(20160) { ! eqangle
% 4.66/5.03 ( X, skol22, X, skol20, Y, skol22, Y, skol23 ) }.
% 4.66/5.03 (24688) {G37,W9,D2,L1,V8,M1} R(24179,480);r(24180) { eqangle( X, Y, Z, T,
% 4.66/5.03 V0, V1, V2, V3 ) }.
% 4.66/5.03 (24689) {G38,W0,D0,L0,V0,M0} S(24687);r(24688) { }.
% 4.66/5.03
% 4.66/5.03
% 4.66/5.03 % SZS output end Refutation
% 4.66/5.03 found a proof!
% 4.66/5.03
% 4.66/5.03
% 4.66/5.03 Unprocessed initial clauses:
% 4.66/5.03
% 4.66/5.03 (24691) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.66/5.03 (24692) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.66/5.03 (24693) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 4.66/5.03 ( Y, Z, X ) }.
% 4.66/5.03 (24694) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 4.66/5.03 }.
% 4.66/5.03 (24695) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 4.66/5.03 }.
% 4.66/5.03 (24696) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 4.66/5.03 , para( X, Y, Z, T ) }.
% 4.66/5.03 (24697) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 4.66/5.03 }.
% 4.66/5.03 (24698) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 4.66/5.03 }.
% 4.66/5.03 (24699) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.66/5.03 , para( X, Y, Z, T ) }.
% 4.66/5.03 (24700) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.66/5.03 , perp( X, Y, Z, T ) }.
% 4.66/5.03 (24701) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.66/5.03 (24702) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 4.66/5.03 , circle( T, X, Y, Z ) }.
% 4.66/5.03 (24703) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 4.66/5.03 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.66/5.03 (24704) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 4.66/5.03 ) }.
% 4.66/5.03 (24705) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 4.66/5.03 ) }.
% 4.66/5.03 (24706) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 4.66/5.03 ) }.
% 4.66/5.03 (24707) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 4.66/5.03 T ), cyclic( X, Y, Z, T ) }.
% 4.66/5.03 (24708) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.66/5.03 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.03 (24709) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.66/5.03 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.66/5.03 (24710) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.66/5.03 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.66/5.03 (24711) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.66/5.03 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.66/5.03 (24712) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.66/5.03 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.03 V1 ) }.
% 4.66/5.03 (24713) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 4.66/5.03 }.
% 4.66/5.03 (24714) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 4.66/5.03 }.
% 4.66/5.03 (24715) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 4.66/5.03 , cong( X, Y, Z, T ) }.
% 4.66/5.03 (24716) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.66/5.03 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.03 (24717) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.66/5.03 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 4.66/5.03 (24718) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.66/5.03 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 4.66/5.03 (24719) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.66/5.03 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.66/5.03 (24720) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.66/5.03 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 4.66/5.03 V1 ) }.
% 4.66/5.03 (24721) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 4.66/5.03 , Z, T, U, W ) }.
% 4.66/5.03 (24722) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 4.66/5.03 , Z, T, U, W ) }.
% 4.66/5.03 (24723) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 4.66/5.03 , Z, T, U, W ) }.
% 4.66/5.03 (24724) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 4.66/5.03 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 4.66/5.03 (24725) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 4.66/5.03 , Z, T, U, W ) }.
% 4.66/5.03 (24726) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 4.66/5.03 , Z, T, U, W ) }.
% 4.66/5.03 (24727) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 4.66/5.03 , Z, T, U, W ) }.
% 4.66/5.03 (24728) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 4.66/5.03 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 4.66/5.03 (24729) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 4.66/5.03 X, Y, Z, T ) }.
% 4.66/5.03 (24730) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 4.66/5.03 Z, T, U, W ) }.
% 4.66/5.03 (24731) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 4.66/5.03 , T, X, T, Y ) }.
% 4.66/5.03 (24732) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 4.66/5.03 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 4.66/5.03 (24733) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 4.66/5.03 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.66/5.03 (24734) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 4.66/5.03 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.66/5.03 , Y, Z, T ) }.
% 4.66/5.03 (24735) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 4.66/5.03 ( Z, T, X, Y ) }.
% 4.66/5.03 (24736) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 4.66/5.03 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 4.66/5.03 (24737) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 4.66/5.03 X, Y, Z, Y ) }.
% 4.66/5.03 (24738) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 4.66/5.03 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 4.66/5.03 (24739) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 4.66/5.03 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 4.66/5.03 (24740) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 4.66/5.03 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 4.66/5.03 (24741) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 4.66/5.03 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 4.66/5.03 (24742) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 4.66/5.03 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 4.66/5.03 (24743) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 4.66/5.03 cong( X, Z, Y, Z ) }.
% 4.66/5.03 (24744) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 4.66/5.03 perp( X, Y, Y, Z ) }.
% 4.66/5.03 (24745) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.66/5.03 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 4.66/5.03 (24746) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 4.66/5.03 cong( Z, X, Z, Y ) }.
% 4.66/5.03 (24747) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 4.66/5.03 , perp( X, Y, Z, T ) }.
% 4.66/5.03 (24748) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 4.66/5.03 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.66/5.03 (24749) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 4.66/5.03 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 4.66/5.03 , W ) }.
% 4.66/5.03 (24750) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 4.66/5.03 , X, Z, T, U, T, W ) }.
% 4.66/5.03 (24751) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 4.66/5.03 , Y, Z, T, U, U, W ) }.
% 4.66/5.03 (24752) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 4.66/5.03 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 4.66/5.03 (24753) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 4.66/5.03 , T ) }.
% 4.66/5.03 (24754) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 4.66/5.03 ( X, Z, Y, T ) }.
% 4.66/5.03 (24755) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 4.66/5.03 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.66/5.03 (24756) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 4.66/5.03 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 4.66/5.03 (24757) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 4.66/5.03 (24758) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 4.66/5.03 midp( X, Y, Z ) }.
% 4.66/5.03 (24759) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.66/5.03 (24760) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.66/5.03 (24761) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 4.66/5.03 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 4.66/5.03 (24762) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 4.66/5.03 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.66/5.03 (24763) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 4.66/5.03 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 4.66/5.03 (24764) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.66/5.03 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 4.66/5.03 (24765) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.66/5.03 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.66/5.03 (24766) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 4.66/5.03 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 4.66/5.03 (24767) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.66/5.03 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 4.66/5.03 (24768) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.66/5.03 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 4.66/5.03 (24769) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.66/5.03 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 4.66/5.03 (24770) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.66/5.03 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 4.66/5.03 (24771) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.66/5.03 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 4.66/5.03 (24772) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.66/5.03 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 4.66/5.03 (24773) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.66/5.03 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 4.66/5.03 (24774) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.66/5.03 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 4.66/5.03 (24775) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.66/5.03 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 4.66/5.03 (24776) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.66/5.03 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 4.66/5.03 , T ) ) }.
% 4.66/5.03 (24777) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 4.66/5.03 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 4.66/5.03 (24778) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.66/5.03 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 4.66/5.03 (24779) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.66/5.03 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 4.66/5.03 (24780) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 4.66/5.03 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.66/5.03 (24781) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.66/5.03 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 4.66/5.03 ) }.
% 4.66/5.03 (24782) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.66/5.03 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 4.66/5.03 }.
% 4.66/5.03 (24783) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.66/5.03 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 4.66/5.03 (24784) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.66/5.03 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 4.66/5.03 (24785) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.66/5.03 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 4.66/5.03 (24786) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.66/5.03 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 4.66/5.03 (24787) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.66/5.03 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.66/5.03 (24788) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.66/5.03 , alpha1( X, Y, Z ) }.
% 4.66/5.03 (24789) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 4.66/5.03 ), Z, X ) }.
% 4.66/5.03 (24790) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 4.66/5.03 , Z ), Z, X ) }.
% 4.66/5.03 (24791) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 4.66/5.03 alpha1( X, Y, Z ) }.
% 4.66/5.03 (24792) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 4.66/5.03 ), X, X, Y ) }.
% 4.66/5.03 (24793) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.66/5.03 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 4.66/5.03 ) ) }.
% 4.66/5.03 (24794) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.66/5.03 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.66/5.03 (24795) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.66/5.03 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 4.66/5.03 }.
% 4.66/5.03 (24796) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.66/5.03 (24797) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 4.66/5.03 }.
% 4.66/5.03 (24798) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 4.66/5.03 alpha2( X, Y, Z, T ) }.
% 4.66/5.03 (24799) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.66/5.03 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.03 (24800) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 4.66/5.03 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.03 (24801) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.66/5.03 coll( skol16( W, Y, Z ), Y, Z ) }.
% 4.66/5.03 (24802) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.66/5.03 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.03 (24803) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 4.66/5.03 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 4.66/5.03 (24804) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.66/5.03 , coll( X, Y, skol18( X, Y ) ) }.
% 4.66/5.03 (24805) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.66/5.03 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 4.66/5.03 (24806) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.66/5.03 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 4.66/5.03 }.
% 4.66/5.03 (24807) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.66/5.03 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 4.66/5.03 }.
% 4.66/5.03 (24808) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol20, skol25 ) }.
% 4.66/5.03 (24809) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol24 ) }.
% 4.66/5.03 (24810) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol25, skol24, skol22 ) }.
% 4.66/5.03 (24811) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol20, skol22 ) }.
% 4.66/5.03 (24812) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol22 ) }.
% 4.66/5.03 (24813) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 4.66/5.03 (24814) {G0,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol22, skol23 ) }.
% 4.66/5.03
% 4.66/5.03
% 4.66/5.03 Total Proof:
% 4.66/5.03
% 4.66/5.03 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.66/5.03 }.
% 4.66/5.03 parent0: (24691) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.66/5.03 }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.66/5.03 }.
% 4.66/5.03 parent0: (24692) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.66/5.03 }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 4.66/5.03 Z ), coll( Y, Z, X ) }.
% 4.66/5.03 parent0: (24693) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.66/5.03 ), coll( Y, Z, X ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 2 ==> 2
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 4.66/5.03 , T, Z ) }.
% 4.66/5.03 parent0: (24694) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 4.66/5.03 T, Z ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 4.66/5.03 , X, Y ) }.
% 4.66/5.03 parent0: (24695) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 4.66/5.03 X, Y ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 4.66/5.03 , T, Z ) }.
% 4.66/5.03 parent0: (24697) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.03 T, Z ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 4.66/5.03 , X, Y ) }.
% 4.66/5.03 parent0: (24698) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.03 X, Y ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 4.66/5.03 W, Z, T ), para( X, Y, Z, T ) }.
% 4.66/5.03 parent0: (24699) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 4.66/5.03 , Z, T ), para( X, Y, Z, T ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 U := U
% 4.66/5.03 W := W
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 2 ==> 2
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 4.66/5.03 W, Z, T ), perp( X, Y, Z, T ) }.
% 4.66/5.03 parent0: (24700) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 4.66/5.03 , Z, T ), perp( X, Y, Z, T ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 U := U
% 4.66/5.03 W := W
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 2 ==> 2
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 4.66/5.03 ) }.
% 4.66/5.03 parent0: (24701) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.66/5.03 }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 4.66/5.03 , X, T, Z ), circle( T, X, Y, Z ) }.
% 4.66/5.03 parent0: (24702) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 4.66/5.03 , T, Z ), circle( T, X, Y, Z ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 2 ==> 2
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 4.66/5.03 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.66/5.03 parent0: (24703) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 4.66/5.03 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 U := U
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 2 ==> 2
% 4.66/5.03 3 ==> 3
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.66/5.03 X, Y, T, Z ) }.
% 4.66/5.03 parent0: (24704) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.66/5.03 , Y, T, Z ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.66/5.03 X, Z, Y, T ) }.
% 4.66/5.03 parent0: (24705) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.66/5.03 , Z, Y, T ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.66/5.03 Y, X, Z, T ) }.
% 4.66/5.03 parent0: (24706) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.66/5.03 , X, Z, T ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.66/5.03 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.66/5.03 parent0: (24707) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 4.66/5.03 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 U := U
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 2 ==> 2
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 4.66/5.03 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.03 parent0: (24708) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.03 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 U := U
% 4.66/5.03 W := W
% 4.66/5.03 V0 := V0
% 4.66/5.03 V1 := V1
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 4.66/5.03 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.66/5.03 parent0: (24709) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.03 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 U := U
% 4.66/5.03 W := W
% 4.66/5.03 V0 := V0
% 4.66/5.03 V1 := V1
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 4.66/5.03 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.66/5.03 parent0: (24710) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.03 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 U := U
% 4.66/5.03 W := W
% 4.66/5.03 V0 := V0
% 4.66/5.03 V1 := V1
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 4.66/5.03 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.66/5.03 parent0: (24711) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.03 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 U := U
% 4.66/5.03 W := W
% 4.66/5.03 V0 := V0
% 4.66/5.03 V1 := V1
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 4.66/5.03 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 4.66/5.03 , U, W, V0, V1 ) }.
% 4.66/5.03 parent0: (24712) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 4.66/5.03 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 4.66/5.03 , W, V0, V1 ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 U := U
% 4.66/5.03 W := W
% 4.66/5.03 V0 := V0
% 4.66/5.03 V1 := V1
% 4.66/5.03 V2 := V2
% 4.66/5.03 V3 := V3
% 4.66/5.03 V4 := V4
% 4.66/5.03 V5 := V5
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 2 ==> 2
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 4.66/5.03 , T, Z ) }.
% 4.66/5.03 parent0: (24713) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 4.66/5.03 T, Z ) }.
% 4.66/5.03 substitution0:
% 4.66/5.03 X := X
% 4.66/5.03 Y := Y
% 4.66/5.03 Z := Z
% 4.66/5.03 T := T
% 4.66/5.03 end
% 4.66/5.03 permutation0:
% 4.66/5.03 0 ==> 0
% 4.66/5.03 1 ==> 1
% 4.66/5.03 end
% 4.66/5.03
% 4.66/5.03 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 4.66/5.03 , X, Y ) }.
% 4.66/5.03 parent0: (24714) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 4.66/5.04 , W, Z, T ), cong( X, Y, Z, T ) }.
% 4.66/5.04 parent0: (24715) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 4.66/5.04 , Z, T ), cong( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 4.66/5.04 W ), para( X, Y, Z, T ) }.
% 4.66/5.04 parent0: (24729) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 4.66/5.04 ), para( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.66/5.04 , Y, U, W, Z, T, U, W ) }.
% 4.66/5.04 parent0: (24730) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 4.66/5.04 Y, U, W, Z, T, U, W ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 4.66/5.04 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.66/5.04 parent0: (24733) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.66/5.04 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.66/5.04 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.66/5.04 ), cong( X, Y, Z, T ) }.
% 4.66/5.04 parent0: (24734) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 4.66/5.04 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 4.66/5.04 , cong( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 3 ==> 3
% 4.66/5.04 4 ==> 4
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 4.66/5.04 , X, X, Y, X, Y, Z, Y ) }.
% 4.66/5.04 parent0: (24737) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z,
% 4.66/5.04 X, X, Y, X, Y, Z, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 4.66/5.04 , X, T ), cong( X, Z, Y, Z ) }.
% 4.66/5.04 parent0: (24743) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 4.66/5.04 , T ), cong( X, Z, Y, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 4.66/5.04 , T, Y, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 parent0: (24747) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 4.66/5.04 , Y, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 4.66/5.04 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.66/5.04 parent0: (24748) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 4.66/5.04 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 3 ==> 3
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 4.66/5.04 , T ), para( X, Z, Y, T ) }.
% 4.66/5.04 parent0: (24754) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 4.66/5.04 ), para( X, Z, Y, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 4.66/5.04 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.66/5.04 parent0: (24755) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 4.66/5.04 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 3 ==> 3
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 4.66/5.04 , Z ) }.
% 4.66/5.04 parent0: (24759) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 4.66/5.04 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0: (24760) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X,
% 4.66/5.04 Y ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 parent0: (24762) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 4.66/5.04 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 4.66/5.04 , V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.66/5.04 parent0: (24765) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 4.66/5.04 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.66/5.04 ) }.
% 4.66/5.04 parent0: (24780) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 4.66/5.04 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := V0
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 3 ==> 3
% 4.66/5.04 4 ==> 4
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 4.66/5.04 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.66/5.04 parent0: (24787) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 4.66/5.04 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.66/5.04 skol12( X, Y ), X, X, Y ) }.
% 4.66/5.04 parent0: (24792) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 4.66/5.04 skol12( X, Y ), X, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.66/5.04 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.04 parent0: (24802) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 4.66/5.04 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol24, skol20,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 parent0: (24808) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol20,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol24 )
% 4.66/5.04 }.
% 4.66/5.04 parent0: (24809) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! cong( skol22, skol20, skol22,
% 4.66/5.04 skol23 ) }.
% 4.66/5.04 parent0: (24814) {G0,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol22,
% 4.66/5.04 skol23 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25545) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.66/5.04 , Z, Z ) }.
% 4.66/5.04 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 4.66/5.04 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Z
% 4.66/5.04 T := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 4.66/5.04 circle( X, Y, Z, Z ) }.
% 4.66/5.04 parent0: (25545) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.66/5.04 , Z, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25548) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 4.66/5.04 , X, T ), cyclic( Y, Z, T, T ) }.
% 4.66/5.04 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 4.66/5.04 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := T
% 4.66/5.04 T := T
% 4.66/5.04 U := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (128) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 4.66/5.04 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 4.66/5.04 parent0: (25548) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 4.66/5.04 , X, T ), cyclic( Y, Z, T, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25550) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 4.66/5.04 , Z, Z ) }.
% 4.66/5.04 parent0[0, 1]: (128) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 4.66/5.04 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (129) {G2,W10,D2,L2,V3,M2} F(128) { ! cong( X, Y, X, Z ),
% 4.66/5.04 cyclic( Y, Z, Z, Z ) }.
% 4.66/5.04 parent0: (25550) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 4.66/5.04 , Z, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25551) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 4.66/5.04 Z, T, T ) }.
% 4.66/5.04 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 4.66/5.04 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := T
% 4.66/5.04 T := T
% 4.66/5.04 U := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (130) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 4.66/5.04 cyclic( Y, Z, T, T ) }.
% 4.66/5.04 parent0: (25551) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.66/5.04 , Z, T, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25554) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic( X
% 4.66/5.04 , Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 4.66/5.04 parent0[1, 2]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), !
% 4.66/5.04 cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z
% 4.66/5.04 , W, T ), cong( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := T
% 4.66/5.04 T := U
% 4.66/5.04 U := Z
% 4.66/5.04 W := U
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (133) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 4.66/5.04 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 4.66/5.04 , U ) }.
% 4.66/5.04 parent0: (25554) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic(
% 4.66/5.04 X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 3 ==> 3
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25556) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z, Y
% 4.66/5.04 , Y ) }.
% 4.66/5.04 parent0[0, 1]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong(
% 4.66/5.04 X, T, Y, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (135) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp
% 4.66/5.04 ( X, Z, Y, Y ) }.
% 4.66/5.04 parent0: (25556) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z,
% 4.66/5.04 Y, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25557) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 4.66/5.04 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 4.66/5.04 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 4.66/5.04 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Y
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (136) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 4.66/5.04 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 4.66/5.04 parent0: (25557) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 4.66/5.04 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25558) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 4.66/5.04 Z, T ), para( X, Z, Y, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 T := Z
% 4.66/5.04 U := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (138) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 4.66/5.04 Y, Z, Z ) }.
% 4.66/5.04 parent0: (25558) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 4.66/5.04 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25559) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 4.66/5.04 , T ), midp( X, T, T ) }.
% 4.66/5.04 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 4.66/5.04 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := T
% 4.66/5.04 Y := T
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 U := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 4.66/5.04 Y, T, Z, T ), midp( X, T, T ) }.
% 4.66/5.04 parent0: (25559) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 4.66/5.04 , T ), midp( X, T, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25560) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.66/5.04 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.66/5.04 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 4.66/5.04 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.66/5.04 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 U := Z
% 4.66/5.04 W := X
% 4.66/5.04 V0 := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 4.66/5.04 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.66/5.04 parent0: (25560) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.66/5.04 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 3 ==> 3
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25563) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 4.66/5.04 skol10( X, X, Z ), Z, X ) }.
% 4.66/5.04 parent0[0, 1]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 4.66/5.04 Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (151) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp
% 4.66/5.04 ( X, skol10( X, X, Z ), Z, X ) }.
% 4.66/5.04 parent0: (25563) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 4.66/5.04 skol10( X, X, Z ), Z, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25564) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 4.66/5.04 , Z, X ) }.
% 4.66/5.04 parent0: (25564) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25566) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 4.66/5.04 , Z, X ) }.
% 4.66/5.04 parent0: (25566) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25570) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 4.66/5.04 X ), ! coll( Z, T, Y ) }.
% 4.66/5.04 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.66/5.04 ), coll( Y, Z, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 4.66/5.04 ( X, Y, T ), coll( Z, X, T ) }.
% 4.66/5.04 parent0: (25570) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 4.66/5.04 , ! coll( Z, T, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := T
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 2
% 4.66/5.04 1 ==> 0
% 4.66/5.04 2 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25572) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 parent0[0, 1]: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 4.66/5.04 coll( X, Y, T ), coll( Z, X, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z
% 4.66/5.04 , X, Z ) }.
% 4.66/5.04 parent0: (25572) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25573) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 4.66/5.04 X ), ! coll( Z, T, Y ) }.
% 4.66/5.04 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 4.66/5.04 X, Z ) }.
% 4.66/5.04 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.66/5.04 ), coll( Y, Z, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll
% 4.66/5.04 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.66/5.04 parent0: (25573) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 4.66/5.04 , ! coll( Z, T, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := X
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25575) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 4.66/5.04 X, Z ) }.
% 4.66/5.04 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (217) {G3,W8,D2,L2,V3,M2} R(194,1) { coll( X, Y, X ), ! coll(
% 4.66/5.04 Z, Y, X ) }.
% 4.66/5.04 parent0: (25575) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25576) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 parent0[1, 2]: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), !
% 4.66/5.04 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X
% 4.66/5.04 , Z, Y ) }.
% 4.66/5.04 parent0: (25576) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25577) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 4.66/5.04 Y, T, Z ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := T
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (265) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 4.66/5.04 ( Z, T, Y, X ) }.
% 4.66/5.04 parent0: (25577) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := T
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25579) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 4.66/5.04 T, X, Y ) }.
% 4.66/5.04 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := T
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.66/5.04 ( Z, T, Y, X ) }.
% 4.66/5.04 parent0: (25579) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := T
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25580) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol20,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol24, skol20,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol20
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol20
% 4.66/5.04 T := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (267) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol20, skol25,
% 4.66/5.04 skol20, skol24 ) }.
% 4.66/5.04 parent0: (25580) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol20,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25582) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 4.66/5.04 Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.66/5.04 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.66/5.04 , Z, T ), para( X, Y, Z, T ) }.
% 4.66/5.04 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := U
% 4.66/5.04 Y := W
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.66/5.04 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.66/5.04 parent0: (25582) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 4.66/5.04 U, W ), ! perp( U, W, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25585) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 4.66/5.04 Y, U, W ), ! perp( X, Y, T, Z ) }.
% 4.66/5.04 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.66/5.04 , Z, T ), para( X, Y, Z, T ) }.
% 4.66/5.04 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := T
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (279) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 4.66/5.04 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 4.66/5.04 parent0: (25585) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 4.66/5.04 U, W ), ! perp( X, Y, T, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := U
% 4.66/5.04 Y := W
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25589) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X,
% 4.66/5.04 Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.66/5.04 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.66/5.04 , Z, T ), para( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (283) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 4.66/5.04 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 4.66/5.04 parent0: (25589) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y,
% 4.66/5.04 U, W ), ! perp( U, W, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 2
% 4.66/5.04 1 ==> 0
% 4.66/5.04 2 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25591) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 4.66/5.04 , Y ) }.
% 4.66/5.04 parent0[0, 2]: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 4.66/5.04 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (292) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para
% 4.66/5.04 ( X, Y, X, Y ) }.
% 4.66/5.04 parent0: (25591) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25592) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X,
% 4.66/5.04 Y, U, W ), ! para( X, Y, T, Z ) }.
% 4.66/5.04 parent0[0]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 4.66/5.04 , Z, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := T
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (310) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 4.66/5.04 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 4.66/5.04 parent0: (25592) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X, Y,
% 4.66/5.04 U, W ), ! para( X, Y, T, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := U
% 4.66/5.04 Y := W
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25593) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol24, skol25 )
% 4.66/5.04 }.
% 4.66/5.04 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.66/5.04 }.
% 4.66/5.04 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol24 )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (321) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol26, skol24,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 parent0: (25593) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol24, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25594) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol24,
% 4.66/5.04 skol20 ) }.
% 4.66/5.04 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 parent1[0]: (267) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol20, skol25,
% 4.66/5.04 skol20, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol20
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := skol20
% 4.66/5.04 T := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (352) {G2,W5,D2,L1,V0,M1} R(267,6) { perp( skol20, skol25,
% 4.66/5.04 skol24, skol20 ) }.
% 4.66/5.04 parent0: (25594) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol24,
% 4.66/5.04 skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25596) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 4.66/5.04 ( X, Z, Y, T ) }.
% 4.66/5.04 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.66/5.04 , Y, T, Z ) }.
% 4.66/5.04 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.66/5.04 , Z, Y, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (354) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.66/5.04 cyclic( X, Z, T, Y ) }.
% 4.66/5.04 parent0: (25596) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 4.66/5.04 , Z, Y, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25597) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol20,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (352) {G2,W5,D2,L1,V0,M1} R(267,6) { perp( skol20, skol25,
% 4.66/5.04 skol24, skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol20
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol20
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (358) {G3,W5,D2,L1,V0,M1} R(352,7) { perp( skol24, skol20,
% 4.66/5.04 skol20, skol25 ) }.
% 4.66/5.04 parent0: (25597) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol20,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25598) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol25,
% 4.66/5.04 skol20 ) }.
% 4.66/5.04 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 parent1[0]: (358) {G3,W5,D2,L1,V0,M1} R(352,7) { perp( skol24, skol20,
% 4.66/5.04 skol20, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol20
% 4.66/5.04 Z := skol20
% 4.66/5.04 T := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (362) {G4,W5,D2,L1,V0,M1} R(358,6) { perp( skol24, skol20,
% 4.66/5.04 skol25, skol20 ) }.
% 4.66/5.04 parent0: (25598) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol25,
% 4.66/5.04 skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25599) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol24,
% 4.66/5.04 skol20 ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (362) {G4,W5,D2,L1,V0,M1} R(358,6) { perp( skol24, skol20,
% 4.66/5.04 skol25, skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol20
% 4.66/5.04 Z := skol25
% 4.66/5.04 T := skol20
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (366) {G5,W5,D2,L1,V0,M1} R(362,7) { perp( skol25, skol20,
% 4.66/5.04 skol24, skol20 ) }.
% 4.66/5.04 parent0: (25599) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol24,
% 4.66/5.04 skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25600) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol20,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 parent1[0]: (366) {G5,W5,D2,L1,V0,M1} R(362,7) { perp( skol25, skol20,
% 4.66/5.04 skol24, skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol25
% 4.66/5.04 Y := skol20
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol20
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (370) {G6,W5,D2,L1,V0,M1} R(366,6) { perp( skol25, skol20,
% 4.66/5.04 skol20, skol24 ) }.
% 4.66/5.04 parent0: (25600) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol20,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25602) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 4.66/5.04 ( Y, X, Z, T ) }.
% 4.66/5.04 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.66/5.04 , Z, Y, T ) }.
% 4.66/5.04 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.66/5.04 , X, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (372) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.66/5.04 cyclic( Y, Z, X, T ) }.
% 4.66/5.04 parent0: (25602) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 4.66/5.04 , X, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25603) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol24, X, Y )
% 4.66/5.04 , para( skol25, skol20, X, Y ) }.
% 4.66/5.04 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.66/5.04 , Z, T ), para( X, Y, Z, T ) }.
% 4.66/5.04 parent1[0]: (370) {G6,W5,D2,L1,V0,M1} R(366,6) { perp( skol25, skol20,
% 4.66/5.04 skol20, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol25
% 4.66/5.04 Y := skol20
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 U := skol20
% 4.66/5.04 W := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (380) {G7,W10,D2,L2,V2,M2} R(370,8) { ! perp( skol20, skol24,
% 4.66/5.04 X, Y ), para( skol25, skol20, X, Y ) }.
% 4.66/5.04 parent0: (25603) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol24, X, Y ),
% 4.66/5.04 para( skol25, skol20, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25606) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 4.66/5.04 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.66/5.04 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.66/5.04 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.66/5.04 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.66/5.04 , Y, T, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := T
% 4.66/5.04 T := U
% 4.66/5.04 U := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (403) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.66/5.04 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.66/5.04 parent0: (25606) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.66/5.04 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25608) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 4.66/5.04 , T ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.66/5.04 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.66/5.04 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := T
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 U := V0
% 4.66/5.04 W := V1
% 4.66/5.04 V0 := U
% 4.66/5.04 V1 := W
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (455) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U,
% 4.66/5.04 W, V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 4.66/5.04 parent0: (25608) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 4.66/5.04 ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := U
% 4.66/5.04 Y := W
% 4.66/5.04 Z := V0
% 4.66/5.04 T := V1
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 V0 := Z
% 4.66/5.04 V1 := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25609) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 4.66/5.04 , T ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.04 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.66/5.04 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (456) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U,
% 4.66/5.04 W, V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 4.66/5.04 parent0: (25609) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 4.66/5.04 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := U
% 4.66/5.04 Y := W
% 4.66/5.04 Z := V0
% 4.66/5.04 T := V1
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 V0 := Z
% 4.66/5.04 V1 := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25611) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 4.66/5.04 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.66/5.04 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.04 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := U
% 4.66/5.04 Y := W
% 4.66/5.04 Z := V0
% 4.66/5.04 T := V1
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 V0 := Z
% 4.66/5.04 V1 := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (457) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 4.66/5.04 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 4.66/5.04 parent0: (25611) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 4.66/5.04 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := U
% 4.66/5.04 Y := W
% 4.66/5.04 Z := V0
% 4.66/5.04 T := V1
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 V0 := Z
% 4.66/5.04 V1 := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25613) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 parent1[0]: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X,
% 4.66/5.04 Z, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (462) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll(
% 4.66/5.04 Z, X, X ) }.
% 4.66/5.04 parent0: (25613) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25614) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 4.66/5.04 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.04 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.66/5.04 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (468) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 4.66/5.04 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 4.66/5.04 parent0: (25614) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 4.66/5.04 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25615) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (462) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 4.66/5.04 , X, X ) }.
% 4.66/5.04 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (470) {G6,W8,D2,L2,V3,M2} R(462,1) { coll( X, Y, Y ), ! coll(
% 4.66/5.04 Z, Y, X ) }.
% 4.66/5.04 parent0: (25615) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25616) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (462) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 4.66/5.04 , X, X ) }.
% 4.66/5.04 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (471) {G6,W8,D2,L2,V3,M2} R(462,0) { coll( X, Y, Y ), ! coll(
% 4.66/5.04 Y, X, Z ) }.
% 4.66/5.04 parent0: (25616) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25618) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (462) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 4.66/5.04 , X, X ) }.
% 4.66/5.04 parent1[0]: (470) {G6,W8,D2,L2,V3,M2} R(462,1) { coll( X, Y, Y ), ! coll( Z
% 4.66/5.04 , Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (472) {G7,W8,D2,L2,V3,M2} R(470,462) { ! coll( X, Y, Z ), coll
% 4.66/5.04 ( Y, Z, Z ) }.
% 4.66/5.04 parent0: (25618) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25619) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[1]: (471) {G6,W8,D2,L2,V3,M2} R(462,0) { coll( X, Y, Y ), ! coll( Y
% 4.66/5.04 , X, Z ) }.
% 4.66/5.04 parent1[0]: (471) {G6,W8,D2,L2,V3,M2} R(462,0) { coll( X, Y, Y ), ! coll( Y
% 4.66/5.04 , X, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (475) {G7,W8,D2,L2,V3,M2} R(471,471) { ! coll( X, Y, Z ), coll
% 4.66/5.04 ( X, Y, Y ) }.
% 4.66/5.04 parent0: (25619) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25621) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W,
% 4.66/5.04 V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3
% 4.66/5.04 , V0, V1, V4, V5 ) }.
% 4.66/5.04 parent0[1]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 4.66/5.04 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 4.66/5.04 , U, W, V0, V1 ) }.
% 4.66/5.04 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := V2
% 4.66/5.04 W := V3
% 4.66/5.04 V0 := V4
% 4.66/5.04 V1 := V5
% 4.66/5.04 V2 := U
% 4.66/5.04 V3 := W
% 4.66/5.04 V4 := V0
% 4.66/5.04 V5 := V1
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := U
% 4.66/5.04 Y := W
% 4.66/5.04 Z := V2
% 4.66/5.04 T := V3
% 4.66/5.04 U := V0
% 4.66/5.04 W := V1
% 4.66/5.04 V0 := V4
% 4.66/5.04 V1 := V5
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (480) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T,
% 4.66/5.04 U, W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W,
% 4.66/5.04 V2, V3, V0, V1, V4, V5 ) }.
% 4.66/5.04 parent0: (25621) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0
% 4.66/5.04 , V1, V4, V5 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 V2 := V2
% 4.66/5.04 V3 := V3
% 4.66/5.04 V4 := V4
% 4.66/5.04 V5 := V5
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25627) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 4.66/5.04 X ), ! coll( X, Y, T ) }.
% 4.66/5.04 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.66/5.04 ), coll( Y, Z, X ) }.
% 4.66/5.04 parent1[1]: (475) {G7,W8,D2,L2,V3,M2} R(471,471) { ! coll( X, Y, Z ), coll
% 4.66/5.04 ( X, Y, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (490) {G8,W12,D2,L3,V4,M3} R(475,2) { ! coll( X, Y, Z ), !
% 4.66/5.04 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.66/5.04 parent0: (25627) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.66/5.04 , ! coll( X, Y, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := T
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 2
% 4.66/5.04 2 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25630) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.66/5.04 }.
% 4.66/5.04 parent0[0, 1]: (490) {G8,W12,D2,L3,V4,M3} R(475,2) { ! coll( X, Y, Z ), !
% 4.66/5.04 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (491) {G9,W8,D2,L2,V3,M2} F(490) { ! coll( X, Y, Z ), coll( Z
% 4.66/5.04 , Y, X ) }.
% 4.66/5.04 parent0: (25630) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25631) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (491) {G9,W8,D2,L2,V3,M2} F(490) { ! coll( X, Y, Z ), coll( Z,
% 4.66/5.04 Y, X ) }.
% 4.66/5.04 parent1[1]: (472) {G7,W8,D2,L2,V3,M2} R(470,462) { ! coll( X, Y, Z ), coll
% 4.66/5.04 ( Y, Z, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (494) {G10,W8,D2,L2,V3,M2} R(491,472) { coll( X, X, Y ), !
% 4.66/5.04 coll( Z, Y, X ) }.
% 4.66/5.04 parent0: (25631) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25632) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (491) {G9,W8,D2,L2,V3,M2} F(490) { ! coll( X, Y, Z ), coll( Z,
% 4.66/5.04 Y, X ) }.
% 4.66/5.04 parent1[0]: (470) {G6,W8,D2,L2,V3,M2} R(462,1) { coll( X, Y, Y ), ! coll( Z
% 4.66/5.04 , Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (495) {G10,W8,D2,L2,V3,M2} R(491,470) { coll( X, X, Y ), !
% 4.66/5.04 coll( Z, X, Y ) }.
% 4.66/5.04 parent0: (25632) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25634) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z,
% 4.66/5.04 T, X, Y ) }.
% 4.66/5.04 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 4.66/5.04 , T, Z ) }.
% 4.66/5.04 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 4.66/5.04 , X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := T
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (519) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 4.66/5.04 cong( Z, T, Y, X ) }.
% 4.66/5.04 parent0: (25634) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := T
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25636) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X,
% 4.66/5.04 Y, U, W ), ! cong( U, W, Z, T ) }.
% 4.66/5.04 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 4.66/5.04 W, Z, T ), cong( X, Y, Z, T ) }.
% 4.66/5.04 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 4.66/5.04 , X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := U
% 4.66/5.04 Y := W
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (539) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 4.66/5.04 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 4.66/5.04 parent0: (25636) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X, Y,
% 4.66/5.04 U, W ), ! cong( U, W, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25639) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, X
% 4.66/5.04 , Y ) }.
% 4.66/5.04 parent0[0, 2]: (539) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 4.66/5.04 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (552) {G2,W10,D2,L2,V4,M2} F(539) { ! cong( X, Y, Z, T ), cong
% 4.66/5.04 ( X, Y, X, Y ) }.
% 4.66/5.04 parent0: (25639) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25640) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[1]: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 4.66/5.04 Z, X ) }.
% 4.66/5.04 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (566) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll
% 4.66/5.04 ( Z, X, Y ) }.
% 4.66/5.04 parent0: (25640) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25641) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[1]: (495) {G10,W8,D2,L2,V3,M2} R(491,470) { coll( X, X, Y ), ! coll
% 4.66/5.04 ( Z, X, Y ) }.
% 4.66/5.04 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (573) {G11,W8,D2,L2,V3,M2} R(69,495) { ! midp( X, Y, Z ), coll
% 4.66/5.04 ( Y, Y, Z ) }.
% 4.66/5.04 parent0: (25641) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25642) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol25 )
% 4.66/5.04 }.
% 4.66/5.04 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.66/5.04 }.
% 4.66/5.04 parent1[0]: (321) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol26, skol24,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (587) {G2,W4,D2,L1,V0,M1} R(69,321) { coll( skol26, skol24,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 parent0: (25642) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25643) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.66/5.04 }.
% 4.66/5.04 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (592) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 4.66/5.04 , X, Z ) }.
% 4.66/5.04 parent0: (25643) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25644) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol24 )
% 4.66/5.04 }.
% 4.66/5.04 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.66/5.04 }.
% 4.66/5.04 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol24 )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (593) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol26, skol25,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0: (25644) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25645) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol25 )
% 4.66/5.04 }.
% 4.66/5.04 parent0[1]: (217) {G3,W8,D2,L2,V3,M2} R(194,1) { coll( X, Y, X ), ! coll( Z
% 4.66/5.04 , Y, X ) }.
% 4.66/5.04 parent1[0]: (587) {G2,W4,D2,L1,V0,M1} R(69,321) { coll( skol26, skol24,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol25
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (598) {G4,W4,D2,L1,V0,M1} R(587,217) { coll( skol25, skol24,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 parent0: (25645) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25646) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol24 )
% 4.66/5.04 }.
% 4.66/5.04 parent0[1]: (494) {G10,W8,D2,L2,V3,M2} R(491,472) { coll( X, X, Y ), ! coll
% 4.66/5.04 ( Z, Y, X ) }.
% 4.66/5.04 parent1[0]: (587) {G2,W4,D2,L1,V0,M1} R(69,321) { coll( skol26, skol24,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol25
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (603) {G11,W4,D2,L1,V0,M1} R(587,494) { coll( skol25, skol25,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0: (25646) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25647) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol25, X ),
% 4.66/5.04 coll( skol24, X, skol26 ) }.
% 4.66/5.04 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.66/5.04 ), coll( Y, Z, X ) }.
% 4.66/5.04 parent1[0]: (593) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol26, skol25,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := X
% 4.66/5.04 T := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (661) {G2,W8,D2,L2,V1,M2} R(593,2) { ! coll( skol26, skol25, X
% 4.66/5.04 ), coll( skol24, X, skol26 ) }.
% 4.66/5.04 parent0: (25647) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol25, X ), coll(
% 4.66/5.04 skol24, X, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25649) {G1,W19,D2,L3,V8,M3} { ! perp( Z, T, U, W ), perp( X,
% 4.66/5.04 Y, U, W ), ! eqangle( X, Y, V0, V1, Z, T, V0, V1 ) }.
% 4.66/5.04 parent0[0]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 4.66/5.04 , Z, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 parent1[1]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 4.66/5.04 ), para( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := V0
% 4.66/5.04 W := V1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (723) {G1,W19,D2,L3,V8,M3} R(38,9) { ! eqangle( X, Y, Z, T, U
% 4.66/5.04 , W, Z, T ), ! perp( U, W, V0, V1 ), perp( X, Y, V0, V1 ) }.
% 4.66/5.04 parent0: (25649) {G1,W19,D2,L3,V8,M3} { ! perp( Z, T, U, W ), perp( X, Y,
% 4.66/5.04 U, W ), ! eqangle( X, Y, V0, V1, Z, T, V0, V1 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := V0
% 4.66/5.04 W := V1
% 4.66/5.04 V0 := Z
% 4.66/5.04 V1 := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 2
% 4.66/5.04 2 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25650) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 4.66/5.04 ), ! para( X, Y, U, W ) }.
% 4.66/5.04 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.66/5.04 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.66/5.04 , Y, U, W, Z, T, U, W ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := Z
% 4.66/5.04 V1 := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (732) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 4.66/5.04 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 4.66/5.04 parent0: (25650) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 4.66/5.04 , ! para( X, Y, U, W ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25651) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 4.66/5.04 ), ! para( X, Y, U, W ) }.
% 4.66/5.04 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.66/5.04 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.66/5.04 , Y, U, W, Z, T, U, W ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 V0 := Z
% 4.66/5.04 V1 := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (734) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 4.66/5.04 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 4.66/5.04 parent0: (25651) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 4.66/5.04 , ! para( X, Y, U, W ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25652) {G1,W19,D2,L3,V8,M3} { eqangle( X, Y, U, W, Z, T, U, W
% 4.66/5.04 ), ! perp( X, Y, V0, V1 ), ! perp( V0, V1, Z, T ) }.
% 4.66/5.04 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.66/5.04 , Y, U, W, Z, T, U, W ) }.
% 4.66/5.04 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.66/5.04 , Z, T ), para( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := U
% 4.66/5.04 W := W
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 U := V0
% 4.66/5.04 W := V1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (736) {G1,W19,D2,L3,V8,M3} R(39,8) { eqangle( X, Y, Z, T, U, W
% 4.66/5.04 , Z, T ), ! perp( X, Y, V0, V1 ), ! perp( V0, V1, U, W ) }.
% 4.66/5.04 parent0: (25652) {G1,W19,D2,L3,V8,M3} { eqangle( X, Y, U, W, Z, T, U, W )
% 4.66/5.04 , ! perp( X, Y, V0, V1 ), ! perp( V0, V1, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := U
% 4.66/5.04 T := W
% 4.66/5.04 U := Z
% 4.66/5.04 W := T
% 4.66/5.04 V0 := V0
% 4.66/5.04 V1 := V1
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25654) {G2,W8,D2,L2,V1,M2} { coll( skol24, X, skol26 ), !
% 4.66/5.04 coll( X, skol26, skol25 ) }.
% 4.66/5.04 parent0[0]: (661) {G2,W8,D2,L2,V1,M2} R(593,2) { ! coll( skol26, skol25, X
% 4.66/5.04 ), coll( skol24, X, skol26 ) }.
% 4.66/5.04 parent1[1]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.66/5.04 Z, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := skol25
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (748) {G3,W8,D2,L2,V1,M2} R(661,165) { coll( skol24, X, skol26
% 4.66/5.04 ), ! coll( X, skol26, skol25 ) }.
% 4.66/5.04 parent0: (25654) {G2,W8,D2,L2,V1,M2} { coll( skol24, X, skol26 ), ! coll(
% 4.66/5.04 X, skol26, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25655) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 4.66/5.04 , X, X ), ! para( X, Y, X, Y ) }.
% 4.66/5.04 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.66/5.04 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.66/5.04 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.66/5.04 , Y, U, W, Z, T, U, W ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := X
% 4.66/5.04 T := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 U := X
% 4.66/5.04 W := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (829) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 4.66/5.04 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.66/5.04 parent0: (25655) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 4.66/5.04 , X ), ! para( X, Y, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25656) {G1,W24,D2,L4,V2,M4} { ! cyclic( skol22, skol20, X,
% 4.66/5.04 skol22 ), ! cyclic( skol22, skol20, X, skol23 ), ! cyclic( skol22, skol20
% 4.66/5.04 , X, Y ), ! eqangle( X, skol22, X, skol20, Y, skol22, Y, skol23 ) }.
% 4.66/5.04 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! cong( skol22, skol20, skol22,
% 4.66/5.04 skol23 ) }.
% 4.66/5.04 parent1[4]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.66/5.04 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.66/5.04 ), cong( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := skol22
% 4.66/5.04 Y := skol20
% 4.66/5.04 Z := skol22
% 4.66/5.04 T := skol23
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (964) {G1,W24,D2,L4,V2,M4} R(43,122) { ! cyclic( skol22,
% 4.66/5.04 skol20, X, skol22 ), ! cyclic( skol22, skol20, X, skol23 ), ! cyclic(
% 4.66/5.04 skol22, skol20, X, Y ), ! eqangle( X, skol22, X, skol20, Y, skol22, Y,
% 4.66/5.04 skol23 ) }.
% 4.66/5.04 parent0: (25656) {G1,W24,D2,L4,V2,M4} { ! cyclic( skol22, skol20, X,
% 4.66/5.04 skol22 ), ! cyclic( skol22, skol20, X, skol23 ), ! cyclic( skol22, skol20
% 4.66/5.04 , X, Y ), ! eqangle( X, skol22, X, skol20, Y, skol22, Y, skol23 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 3 ==> 3
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25660) {G2,W8,D2,L2,V1,M2} { coll( X, skol26, skol24 ), !
% 4.66/5.04 coll( X, skol26, skol25 ) }.
% 4.66/5.04 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.66/5.04 Z, X ) }.
% 4.66/5.04 parent1[0]: (748) {G3,W8,D2,L2,V1,M2} R(661,165) { coll( skol24, X, skol26
% 4.66/5.04 ), ! coll( X, skol26, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := X
% 4.66/5.04 Z := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (1677) {G4,W8,D2,L2,V1,M2} R(748,165) { ! coll( X, skol26,
% 4.66/5.04 skol25 ), coll( X, skol26, skol24 ) }.
% 4.66/5.04 parent0: (25660) {G2,W8,D2,L2,V1,M2} { coll( X, skol26, skol24 ), ! coll(
% 4.66/5.04 X, skol26, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25663) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol26, Y ), coll(
% 4.66/5.04 skol24, Y, X ), ! coll( X, skol26, skol25 ) }.
% 4.66/5.04 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.66/5.04 ), coll( Y, Z, X ) }.
% 4.66/5.04 parent1[1]: (1677) {G4,W8,D2,L2,V1,M2} R(748,165) { ! coll( X, skol26,
% 4.66/5.04 skol25 ), coll( X, skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := Y
% 4.66/5.04 T := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (1729) {G5,W12,D2,L3,V2,M3} R(1677,2) { ! coll( X, skol26,
% 4.66/5.04 skol25 ), ! coll( X, skol26, Y ), coll( skol24, Y, X ) }.
% 4.66/5.04 parent0: (25663) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol26, Y ), coll(
% 4.66/5.04 skol24, Y, X ), ! coll( X, skol26, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 2
% 4.66/5.04 2 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25667) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol26, skol25 ), coll(
% 4.66/5.04 skol24, skol25, X ) }.
% 4.66/5.04 parent0[0, 1]: (1729) {G5,W12,D2,L3,V2,M3} R(1677,2) { ! coll( X, skol26,
% 4.66/5.04 skol25 ), ! coll( X, skol26, Y ), coll( skol24, Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol25
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (1734) {G6,W8,D2,L2,V1,M2} F(1729) { ! coll( X, skol26, skol25
% 4.66/5.04 ), coll( skol24, skol25, X ) }.
% 4.66/5.04 parent0: (25667) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol26, skol25 ), coll(
% 4.66/5.04 skol24, skol25, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25668) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol24, skol26,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.66/5.04 Z ) }.
% 4.66/5.04 parent1[0]: (321) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol26, skol24,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (2357) {G2,W5,D2,L1,V0,M1} R(68,321) { cong( skol26, skol24,
% 4.66/5.04 skol26, skol25 ) }.
% 4.66/5.04 parent0: (25668) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol24, skol26,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25669) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.66/5.04 Z ) }.
% 4.66/5.04 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol24 )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (2359) {G1,W5,D2,L1,V0,M1} R(68,117) { cong( skol26, skol25,
% 4.66/5.04 skol26, skol24 ) }.
% 4.66/5.04 parent0: (25669) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25670) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol24, skol25,
% 4.66/5.04 skol26 ) }.
% 4.66/5.04 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 4.66/5.04 , T, Z ) }.
% 4.66/5.04 parent1[0]: (2357) {G2,W5,D2,L1,V0,M1} R(68,321) { cong( skol26, skol24,
% 4.66/5.04 skol26, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol26
% 4.66/5.04 T := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (2371) {G3,W5,D2,L1,V0,M1} R(2357,22) { cong( skol26, skol24,
% 4.66/5.04 skol25, skol26 ) }.
% 4.66/5.04 parent0: (25670) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol24, skol25,
% 4.66/5.04 skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25671) {G2,W8,D2,L2,V1,M2} { coll( skol24, skol25, X ), !
% 4.66/5.04 midp( skol26, X, skol25 ) }.
% 4.66/5.04 parent0[0]: (1734) {G6,W8,D2,L2,V1,M2} F(1729) { ! coll( X, skol26, skol25
% 4.66/5.04 ), coll( skol24, skol25, X ) }.
% 4.66/5.04 parent1[1]: (592) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 4.66/5.04 , X, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := X
% 4.66/5.04 Z := skol25
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (2878) {G7,W8,D2,L2,V1,M2} R(1734,592) { coll( skol24, skol25
% 4.66/5.04 , X ), ! midp( skol26, X, skol25 ) }.
% 4.66/5.04 parent0: (25671) {G2,W8,D2,L2,V1,M2} { coll( skol24, skol25, X ), ! midp(
% 4.66/5.04 skol26, X, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25672) {G3,W8,D2,L2,V1,M2} { coll( skol24, skol25, X ), !
% 4.66/5.04 midp( skol26, skol25, X ) }.
% 4.66/5.04 parent0[0]: (1734) {G6,W8,D2,L2,V1,M2} F(1729) { ! coll( X, skol26, skol25
% 4.66/5.04 ), coll( skol24, skol25, X ) }.
% 4.66/5.04 parent1[1]: (566) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll(
% 4.66/5.04 Z, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (2881) {G7,W8,D2,L2,V1,M2} R(1734,566) { coll( skol24, skol25
% 4.66/5.04 , X ), ! midp( skol26, skol25, X ) }.
% 4.66/5.04 parent0: (25672) {G3,W8,D2,L2,V1,M2} { coll( skol24, skol25, X ), ! midp(
% 4.66/5.04 skol26, skol25, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25673) {G1,W8,D2,L2,V1,M2} { coll( skol24, X, skol25 ), !
% 4.66/5.04 midp( skol26, X, skol25 ) }.
% 4.66/5.04 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.66/5.04 }.
% 4.66/5.04 parent1[0]: (2878) {G7,W8,D2,L2,V1,M2} R(1734,592) { coll( skol24, skol25,
% 4.66/5.04 X ), ! midp( skol26, X, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (2904) {G8,W8,D2,L2,V1,M2} R(2878,0) { ! midp( skol26, X,
% 4.66/5.04 skol25 ), coll( skol24, X, skol25 ) }.
% 4.66/5.04 parent0: (25673) {G1,W8,D2,L2,V1,M2} { coll( skol24, X, skol25 ), ! midp(
% 4.66/5.04 skol26, X, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 1
% 4.66/5.04 1 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25674) {G2,W5,D2,L1,V0,M1} { circle( skol26, skol24, skol25,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 parent0[0]: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 4.66/5.04 ( X, Y, Z, Z ) }.
% 4.66/5.04 parent1[0]: (2357) {G2,W5,D2,L1,V0,M1} R(68,321) { cong( skol26, skol24,
% 4.66/5.04 skol26, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (6881) {G3,W5,D2,L1,V0,M1} R(125,2357) { circle( skol26,
% 4.66/5.04 skol24, skol25, skol25 ) }.
% 4.66/5.04 parent0: (25674) {G2,W5,D2,L1,V0,M1} { circle( skol26, skol24, skol25,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25675) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol24, skol26 ),
% 4.66/5.04 skol24, skol24, skol26 ) }.
% 4.66/5.04 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.66/5.04 skol12( X, Y ), X, X, Y ) }.
% 4.66/5.04 parent1[0]: (6881) {G3,W5,D2,L1,V0,M1} R(125,2357) { circle( skol26, skol24
% 4.66/5.04 , skol25, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := skol25
% 4.66/5.04 T := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (6962) {G4,W7,D3,L1,V0,M1} R(6881,100) { perp( skol12( skol24
% 4.66/5.04 , skol26 ), skol24, skol24, skol26 ) }.
% 4.66/5.04 parent0: (25675) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol24, skol26 ),
% 4.66/5.04 skol24, skol24, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25676) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol24, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[0]: (129) {G2,W10,D2,L2,V3,M2} F(128) { ! cong( X, Y, X, Z ),
% 4.66/5.04 cyclic( Y, Z, Z, Z ) }.
% 4.66/5.04 parent1[0]: (2359) {G1,W5,D2,L1,V0,M1} R(68,117) { cong( skol26, skol25,
% 4.66/5.04 skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7033) {G3,W5,D2,L1,V0,M1} R(129,2359) { cyclic( skol25,
% 4.66/5.04 skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0: (25676) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol24, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25677) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[0]: (130) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 4.66/5.04 cyclic( Y, Z, T, T ) }.
% 4.66/5.04 parent1[0]: (7033) {G3,W5,D2,L1,V0,M1} R(129,2359) { cyclic( skol25, skol24
% 4.66/5.04 , skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol25
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7061) {G4,W5,D2,L1,V0,M1} R(130,7033) { cyclic( skol24,
% 4.66/5.04 skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0: (25677) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25678) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol24 ), !
% 4.66/5.04 coll( skol25, skol25, skol24 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 4.66/5.04 midp( skol26, skol25, skol24 ) }.
% 4.66/5.04 parent0[2]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 4.66/5.04 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.66/5.04 parent1[0]: (2881) {G7,W8,D2,L2,V1,M2} R(1734,566) { coll( skol24, skol25,
% 4.66/5.04 X ), ! midp( skol26, skol25, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := skol24
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25681) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol24 ),
% 4.66/5.04 midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol26, skol25, skol24 )
% 4.66/5.04 }.
% 4.66/5.04 parent0[1]: (25678) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol24 ), !
% 4.66/5.04 coll( skol25, skol25, skol24 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 4.66/5.04 midp( skol26, skol25, skol24 ) }.
% 4.66/5.04 parent1[0]: (603) {G11,W4,D2,L1,V0,M1} R(587,494) { coll( skol25, skol25,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7654) {G12,W14,D3,L3,V2,M3} R(145,2881);r(603) { ! midp( X,
% 4.66/5.04 skol25, skol24 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol26,
% 4.66/5.04 skol25, skol24 ) }.
% 4.66/5.04 parent0: (25681) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol24 ), midp
% 4.66/5.04 ( skol7( skol25, Y ), skol25, Y ), ! midp( skol26, skol25, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25683) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol24, skol25 ), !
% 4.66/5.04 coll( skol25, skol24, skol25 ), midp( skol7( skol24, Y ), skol24, Y ), !
% 4.66/5.04 midp( skol26, skol24, skol25 ) }.
% 4.66/5.04 parent0[1]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 4.66/5.04 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.66/5.04 parent1[1]: (2904) {G8,W8,D2,L2,V1,M2} R(2878,0) { ! midp( skol26, X,
% 4.66/5.04 skol25 ), coll( skol24, X, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol25
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := skol24
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25686) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol24, skol25 ),
% 4.66/5.04 midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol26, skol24, skol25 )
% 4.66/5.04 }.
% 4.66/5.04 parent0[1]: (25683) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol24, skol25 ), !
% 4.66/5.04 coll( skol25, skol24, skol25 ), midp( skol7( skol24, Y ), skol24, Y ), !
% 4.66/5.04 midp( skol26, skol24, skol25 ) }.
% 4.66/5.04 parent1[0]: (598) {G4,W4,D2,L1,V0,M1} R(587,217) { coll( skol25, skol24,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7665) {G9,W14,D3,L3,V2,M3} R(145,2904);r(598) { ! midp( X,
% 4.66/5.04 skol24, skol25 ), midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol26,
% 4.66/5.04 skol24, skol25 ) }.
% 4.66/5.04 parent0: (25686) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol24, skol25 ), midp
% 4.66/5.04 ( skol7( skol24, Y ), skol24, Y ), ! midp( skol26, skol24, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 2 ==> 2
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25688) {G9,W10,D3,L2,V1,M2} { ! midp( skol26, skol24, skol25 ),
% 4.66/5.04 midp( skol7( skol24, X ), skol24, X ) }.
% 4.66/5.04 parent0[0, 2]: (7665) {G9,W14,D3,L3,V2,M3} R(145,2904);r(598) { ! midp( X,
% 4.66/5.04 skol24, skol25 ), midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol26,
% 4.66/5.04 skol24, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25689) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol24, X ), skol24
% 4.66/5.04 , X ) }.
% 4.66/5.04 parent0[0]: (25688) {G9,W10,D3,L2,V1,M2} { ! midp( skol26, skol24, skol25
% 4.66/5.04 ), midp( skol7( skol24, X ), skol24, X ) }.
% 4.66/5.04 parent1[0]: (321) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol26, skol24,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7757) {G10,W6,D3,L1,V1,M1} F(7665);r(321) { midp( skol7(
% 4.66/5.04 skol24, X ), skol24, X ) }.
% 4.66/5.04 parent0: (25689) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol24, X ), skol24, X
% 4.66/5.04 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25690) {G12,W10,D3,L2,V1,M2} { ! midp( skol26, skol25, skol24 ),
% 4.66/5.04 midp( skol7( skol25, X ), skol25, X ) }.
% 4.66/5.04 parent0[0, 2]: (7654) {G12,W14,D3,L3,V2,M3} R(145,2881);r(603) { ! midp( X
% 4.66/5.04 , skol25, skol24 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol26
% 4.66/5.04 , skol25, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25691) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25
% 4.66/5.04 , X ) }.
% 4.66/5.04 parent0[0]: (25690) {G12,W10,D3,L2,V1,M2} { ! midp( skol26, skol25, skol24
% 4.66/5.04 ), midp( skol7( skol25, X ), skol25, X ) }.
% 4.66/5.04 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol24 )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7758) {G13,W6,D3,L1,V1,M1} F(7654);r(117) { midp( skol7(
% 4.66/5.04 skol25, X ), skol25, X ) }.
% 4.66/5.04 parent0: (25691) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25, X
% 4.66/5.04 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25692) {G12,W4,D2,L1,V1,M1} { coll( skol25, skol25, X ) }.
% 4.66/5.04 parent0[0]: (573) {G11,W8,D2,L2,V3,M2} R(69,495) { ! midp( X, Y, Z ), coll
% 4.66/5.04 ( Y, Y, Z ) }.
% 4.66/5.04 parent1[0]: (7758) {G13,W6,D3,L1,V1,M1} F(7654);r(117) { midp( skol7(
% 4.66/5.04 skol25, X ), skol25, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol7( skol25, X )
% 4.66/5.04 Y := skol25
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7806) {G14,W4,D2,L1,V1,M1} R(7758,573) { coll( skol25, skol25
% 4.66/5.04 , X ) }.
% 4.66/5.04 parent0: (25692) {G12,W4,D2,L1,V1,M1} { coll( skol25, skol25, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25693) {G1,W8,D2,L2,V2,M2} { ! coll( skol25, skol25, Y ),
% 4.66/5.04 coll( X, Y, skol25 ) }.
% 4.66/5.04 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.66/5.04 ), coll( Y, Z, X ) }.
% 4.66/5.04 parent1[0]: (7806) {G14,W4,D2,L1,V1,M1} R(7758,573) { coll( skol25, skol25
% 4.66/5.04 , X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol25
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 T := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25695) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol25 ) }.
% 4.66/5.04 parent0[0]: (25693) {G1,W8,D2,L2,V2,M2} { ! coll( skol25, skol25, Y ),
% 4.66/5.04 coll( X, Y, skol25 ) }.
% 4.66/5.04 parent1[0]: (7806) {G14,W4,D2,L1,V1,M1} R(7758,573) { coll( skol25, skol25
% 4.66/5.04 , X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7865) {G15,W4,D2,L1,V2,M1} R(7806,2);r(7806) { coll( Y, X,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 parent0: (25695) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25696) {G2,W4,D2,L1,V2,M1} { coll( Y, skol25, X ) }.
% 4.66/5.04 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.66/5.04 Z, X ) }.
% 4.66/5.04 parent1[0]: (7865) {G15,W4,D2,L1,V2,M1} R(7806,2);r(7806) { coll( Y, X,
% 4.66/5.04 skol25 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7890) {G16,W4,D2,L1,V2,M1} R(7865,165) { coll( X, skol25, Y )
% 4.66/5.04 }.
% 4.66/5.04 parent0: (25696) {G2,W4,D2,L1,V2,M1} { coll( Y, skol25, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25697) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol25, Z ), coll( Y
% 4.66/5.04 , Z, X ) }.
% 4.66/5.04 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.66/5.04 ), coll( Y, Z, X ) }.
% 4.66/5.04 parent1[0]: (7890) {G16,W4,D2,L1,V2,M1} R(7865,165) { coll( X, skol25, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := skol25
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25699) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.66/5.04 parent0[0]: (25697) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol25, Z ), coll( Y
% 4.66/5.04 , Z, X ) }.
% 4.66/5.04 parent1[0]: (7890) {G16,W4,D2,L1,V2,M1} R(7865,165) { coll( X, skol25, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7903) {G17,W4,D2,L1,V3,M1} R(7890,2);r(7890) { coll( Z, Y, X
% 4.66/5.04 ) }.
% 4.66/5.04 parent0: (25699) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25700) {G2,W5,D2,L1,V1,M1} { para( skol24, skol24, X, X ) }.
% 4.66/5.04 parent0[0]: (138) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 4.66/5.04 , Z, Z ) }.
% 4.66/5.04 parent1[0]: (7757) {G10,W6,D3,L1,V1,M1} F(7665);r(321) { midp( skol7(
% 4.66/5.04 skol24, X ), skol24, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol7( skol24, X )
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7960) {G11,W5,D2,L1,V1,M1} R(7757,138) { para( skol24, skol24
% 4.66/5.04 , X, X ) }.
% 4.66/5.04 parent0: (25700) {G2,W5,D2,L1,V1,M1} { para( skol24, skol24, X, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25701) {G1,W5,D2,L1,V1,M1} { para( X, X, skol24, skol24 ) }.
% 4.66/5.04 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (7960) {G11,W5,D2,L1,V1,M1} R(7757,138) { para( skol24, skol24
% 4.66/5.04 , X, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := X
% 4.66/5.04 T := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7980) {G12,W5,D2,L1,V1,M1} R(7960,4) { para( X, X, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0: (25701) {G1,W5,D2,L1,V1,M1} { para( X, X, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25702) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol24,
% 4.66/5.04 skol24, Y, Z ) }.
% 4.66/5.04 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.66/5.04 , Y, U, W, Z, T, U, W ) }.
% 4.66/5.04 parent1[0]: (7980) {G12,W5,D2,L1,V1,M1} R(7960,4) { para( X, X, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := X
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol24
% 4.66/5.04 U := Y
% 4.66/5.04 W := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (7984) {G13,W9,D2,L1,V3,M1} R(7980,39) { eqangle( X, X, Y, Z,
% 4.66/5.04 skol24, skol24, Y, Z ) }.
% 4.66/5.04 parent0: (25702) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol24, skol24
% 4.66/5.04 , Y, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25703) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol26, skol12(
% 4.66/5.04 skol24, skol26 ), skol24 ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (6962) {G4,W7,D3,L1,V0,M1} R(6881,100) { perp( skol12( skol24,
% 4.66/5.04 skol26 ), skol24, skol24, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol12( skol24, skol26 )
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8012) {G5,W7,D3,L1,V0,M1} R(6962,7) { perp( skol24, skol26,
% 4.66/5.04 skol12( skol24, skol26 ), skol24 ) }.
% 4.66/5.04 parent0: (25703) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol26, skol12(
% 4.66/5.04 skol24, skol26 ), skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25704) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol26, skol24,
% 4.66/5.04 skol12( skol24, skol26 ) ) }.
% 4.66/5.04 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 parent1[0]: (8012) {G5,W7,D3,L1,V0,M1} R(6962,7) { perp( skol24, skol26,
% 4.66/5.04 skol12( skol24, skol26 ), skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := skol12( skol24, skol26 )
% 4.66/5.04 T := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8021) {G6,W7,D3,L1,V0,M1} R(8012,6) { perp( skol24, skol26,
% 4.66/5.04 skol24, skol12( skol24, skol26 ) ) }.
% 4.66/5.04 parent0: (25704) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol26, skol24,
% 4.66/5.04 skol12( skol24, skol26 ) ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25705) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol12( skol24,
% 4.66/5.04 skol26 ), skol24, skol26 ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (8021) {G6,W7,D3,L1,V0,M1} R(8012,6) { perp( skol24, skol26,
% 4.66/5.04 skol24, skol12( skol24, skol26 ) ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol12( skol24, skol26 )
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8029) {G7,W7,D3,L1,V0,M1} R(8021,7) { perp( skol24, skol12(
% 4.66/5.04 skol24, skol26 ), skol24, skol26 ) }.
% 4.66/5.04 parent0: (25705) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol12( skol24,
% 4.66/5.04 skol26 ), skol24, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25706) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol12( skol24,
% 4.66/5.04 skol26 ), skol26, skol24 ) }.
% 4.66/5.04 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 parent1[0]: (8029) {G7,W7,D3,L1,V0,M1} R(8021,7) { perp( skol24, skol12(
% 4.66/5.04 skol24, skol26 ), skol24, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol12( skol24, skol26 )
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8038) {G8,W7,D3,L1,V0,M1} R(8029,6) { perp( skol24, skol12(
% 4.66/5.04 skol24, skol26 ), skol26, skol24 ) }.
% 4.66/5.04 parent0: (25706) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol12( skol24,
% 4.66/5.04 skol26 ), skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25707) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol24,
% 4.66/5.04 skol12( skol24, skol26 ) ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (8038) {G8,W7,D3,L1,V0,M1} R(8029,6) { perp( skol24, skol12(
% 4.66/5.04 skol24, skol26 ), skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol12( skol24, skol26 )
% 4.66/5.04 Z := skol26
% 4.66/5.04 T := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8047) {G9,W7,D3,L1,V0,M1} R(8038,7) { perp( skol26, skol24,
% 4.66/5.04 skol24, skol12( skol24, skol26 ) ) }.
% 4.66/5.04 parent0: (25707) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol24,
% 4.66/5.04 skol12( skol24, skol26 ) ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25708) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol24, skol26
% 4.66/5.04 ), X, Y ), perp( skol16( skol26, X, Y ), skol26, X, Y ) }.
% 4.66/5.04 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.66/5.04 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.04 parent1[0]: (8047) {G9,W7,D3,L1,V0,M1} R(8038,7) { perp( skol26, skol24,
% 4.66/5.04 skol24, skol12( skol24, skol26 ) ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 T := skol12( skol24, skol26 )
% 4.66/5.04 U := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25709) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol26, X, Y ),
% 4.66/5.04 skol26, X, Y ) }.
% 4.66/5.04 parent0[0]: (25708) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol24, skol26
% 4.66/5.04 ), X, Y ), perp( skol16( skol26, X, Y ), skol26, X, Y ) }.
% 4.66/5.04 parent1[0]: (7903) {G17,W4,D2,L1,V3,M1} R(7890,2);r(7890) { coll( Z, Y, X )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := skol12( skol24, skol26 )
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8049) {G18,W8,D3,L1,V2,M1} R(8047,110);r(7903) { perp( skol16
% 4.66/5.04 ( skol26, X, Y ), skol26, X, Y ) }.
% 4.66/5.04 parent0: (25709) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol26, X, Y ),
% 4.66/5.04 skol26, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25710) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol26, X, Y
% 4.66/5.04 ), skol26 ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (8049) {G18,W8,D3,L1,V2,M1} R(8047,110);r(7903) { perp( skol16
% 4.66/5.04 ( skol26, X, Y ), skol26, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol16( skol26, X, Y )
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8264) {G19,W8,D3,L1,V2,M1} R(8049,7) { perp( X, Y, skol16(
% 4.66/5.04 skol26, X, Y ), skol26 ) }.
% 4.66/5.04 parent0: (25710) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol26, X, Y )
% 4.66/5.04 , skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25711) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol26, skol16(
% 4.66/5.04 skol26, X, Y ) ) }.
% 4.66/5.04 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 parent1[0]: (8264) {G19,W8,D3,L1,V2,M1} R(8049,7) { perp( X, Y, skol16(
% 4.66/5.04 skol26, X, Y ), skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := skol16( skol26, X, Y )
% 4.66/5.04 T := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8282) {G20,W8,D3,L1,V2,M1} R(8264,6) { perp( X, Y, skol26,
% 4.66/5.04 skol16( skol26, X, Y ) ) }.
% 4.66/5.04 parent0: (25711) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol26, skol16( skol26
% 4.66/5.04 , X, Y ) ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25712) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol26, X,
% 4.66/5.04 skol26 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.04 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.66/5.04 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.04 parent1[0]: (8282) {G20,W8,D3,L1,V2,M1} R(8264,6) { perp( X, Y, skol26,
% 4.66/5.04 skol16( skol26, X, Y ) ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := skol16( skol26, X, skol26 )
% 4.66/5.04 U := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol26
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25713) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (25712) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol26, X,
% 4.66/5.04 skol26 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.04 parent1[0]: (7903) {G17,W4,D2,L1,V3,M1} R(7890,2);r(7890) { coll( Z, Y, X )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := skol16( skol26, X, skol26 )
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8286) {G21,W8,D3,L1,V3,M1} R(8282,110);r(7903) { perp( skol16
% 4.66/5.04 ( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.04 parent0: (25713) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25714) {G2,W8,D3,L1,V3,M1} { perp( Y, Z, X, skol16( X, Y, Z )
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.66/5.04 ( Z, T, Y, X ) }.
% 4.66/5.04 parent1[0]: (8286) {G21,W8,D3,L1,V3,M1} R(8282,110);r(7903) { perp( skol16
% 4.66/5.04 ( X, Y, Z ), X, Y, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol16( X, Y, Z )
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8339) {G22,W8,D3,L1,V3,M1} R(266,8286) { perp( X, Y, Z,
% 4.66/5.04 skol16( Z, X, Y ) ) }.
% 4.66/5.04 parent0: (25714) {G2,W8,D3,L1,V3,M1} { perp( Y, Z, X, skol16( X, Y, Z ) )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25715) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (8339) {G22,W8,D3,L1,V3,M1} R(266,8286) { perp( X, Y, Z, skol16
% 4.66/5.04 ( Z, X, Y ) ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := skol16( Z, X, Y )
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8371) {G23,W8,D3,L1,V3,M1} R(8339,7) { perp( X, skol16( X, Y
% 4.66/5.04 , Z ), Y, Z ) }.
% 4.66/5.04 parent0: (25715) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25716) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (151) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 4.66/5.04 X, skol10( X, X, Z ), Z, X ) }.
% 4.66/5.04 parent1[0]: (8371) {G23,W8,D3,L1,V3,M1} R(8339,7) { perp( X, skol16( X, Y,
% 4.66/5.04 Z ), Y, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol16( X, X, Y )
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8443) {G24,W8,D3,L1,V2,M1} R(8371,151) { perp( X, skol10( X,
% 4.66/5.04 X, Y ), Y, X ) }.
% 4.66/5.04 parent0: (25716) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25717) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y )
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.66/5.04 X, Y ) }.
% 4.66/5.04 parent1[0]: (8443) {G24,W8,D3,L1,V2,M1} R(8371,151) { perp( X, skol10( X, X
% 4.66/5.04 , Y ), Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol10( X, X, Y )
% 4.66/5.04 Z := Y
% 4.66/5.04 T := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (8697) {G25,W8,D3,L1,V2,M1} R(8443,7) { perp( X, Y, Y, skol10
% 4.66/5.04 ( Y, Y, X ) ) }.
% 4.66/5.04 parent0: (25717) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y ) )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25718) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.66/5.04 parent0[0]: (292) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para
% 4.66/5.04 ( X, Y, X, Y ) }.
% 4.66/5.04 parent1[0]: (8697) {G25,W8,D3,L1,V2,M1} R(8443,7) { perp( X, Y, Y, skol10(
% 4.66/5.04 Y, Y, X ) ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Y
% 4.66/5.04 T := skol10( Y, Y, X )
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (9353) {G26,W5,D2,L1,V2,M1} R(292,8697) { para( X, Y, X, Y )
% 4.66/5.04 }.
% 4.66/5.04 parent0: (25718) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25719) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[1]: (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 4.66/5.04 , T, Z, T ), midp( X, T, T ) }.
% 4.66/5.04 parent1[0]: (9353) {G26,W5,D2,L1,V2,M1} R(292,8697) { para( X, Y, X, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Y
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (9357) {G27,W8,D2,L2,V3,M2} R(9353,139) { ! midp( X, Y, Y ),
% 4.66/5.04 midp( X, Z, Z ) }.
% 4.66/5.04 parent0: (25719) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25720) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol24, skol24,
% 4.66/5.04 skol24, skol24 ), ! cyclic( skol24, skol24, skol24, skol24 ), cong(
% 4.66/5.04 skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0[2]: (133) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 4.66/5.04 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 4.66/5.04 , U ) }.
% 4.66/5.04 parent1[0]: (7984) {G13,W9,D2,L1,V3,M1} R(7980,39) { eqangle( X, X, Y, Z,
% 4.66/5.04 skol24, skol24, Y, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol24
% 4.66/5.04 U := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25721) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol24, skol24,
% 4.66/5.04 skol24 ), cong( skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0[0, 1]: (25720) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol24, skol24,
% 4.66/5.04 skol24, skol24 ), ! cyclic( skol24, skol24, skol24, skol24 ), cong(
% 4.66/5.04 skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25723) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol24, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[0]: (25721) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol24,
% 4.66/5.04 skol24, skol24 ), cong( skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent1[0]: (7061) {G4,W5,D2,L1,V0,M1} R(130,7033) { cyclic( skol24, skol24
% 4.66/5.04 , skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (17238) {G14,W5,D2,L1,V0,M1} R(7984,133);f;r(7061) { cong(
% 4.66/5.04 skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0: (25723) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol24, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25724) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol24,
% 4.66/5.04 skol24, skol24 ), perp( skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0[0]: (136) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 4.66/5.04 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 4.66/5.04 parent1[0]: (17238) {G14,W5,D2,L1,V0,M1} R(7984,133);f;r(7061) { cong(
% 4.66/5.04 skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25725) {G3,W5,D2,L1,V0,M1} { perp( skol24, skol24, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[0]: (25724) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol24,
% 4.66/5.04 skol24, skol24 ), perp( skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent1[0]: (7061) {G4,W5,D2,L1,V0,M1} R(130,7033) { cyclic( skol24, skol24
% 4.66/5.04 , skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (17247) {G15,W5,D2,L1,V0,M1} R(17238,136);r(7061) { perp(
% 4.66/5.04 skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0: (25725) {G3,W5,D2,L1,V0,M1} { perp( skol24, skol24, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25726) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol24, skol24 ), !
% 4.66/5.04 para( X, Y, skol24, skol24 ) }.
% 4.66/5.04 parent0[0]: (310) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 4.66/5.04 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 4.66/5.04 parent1[0]: (17247) {G15,W5,D2,L1,V0,M1} R(17238,136);r(7061) { perp(
% 4.66/5.04 skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol24
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (17263) {G16,W10,D2,L2,V2,M2} R(17247,310) { perp( X, Y,
% 4.66/5.04 skol24, skol24 ), ! para( X, Y, skol24, skol24 ) }.
% 4.66/5.04 parent0: (25726) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol24, skol24 ), !
% 4.66/5.04 para( X, Y, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25728) {G2,W10,D2,L2,V2,M2} { ! perp( skol24, skol24, X, Y )
% 4.66/5.04 , para( skol24, skol24, X, Y ) }.
% 4.66/5.04 parent0[2]: (279) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 4.66/5.04 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 4.66/5.04 parent1[0]: (17247) {G15,W5,D2,L1,V0,M1} R(17238,136);r(7061) { perp(
% 4.66/5.04 skol24, skol24, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 U := skol24
% 4.66/5.04 W := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (17280) {G16,W10,D2,L2,V2,M2} R(17247,279) { ! perp( skol24,
% 4.66/5.04 skol24, X, Y ), para( skol24, skol24, X, Y ) }.
% 4.66/5.04 parent0: (25728) {G2,W10,D2,L2,V2,M2} { ! perp( skol24, skol24, X, Y ),
% 4.66/5.04 para( skol24, skol24, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25729) {G3,W5,D2,L1,V0,M1} { cong( skol26, skol24, skol26,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[0]: (552) {G2,W10,D2,L2,V4,M2} F(539) { ! cong( X, Y, Z, T ), cong
% 4.66/5.04 ( X, Y, X, Y ) }.
% 4.66/5.04 parent1[0]: (2371) {G3,W5,D2,L1,V0,M1} R(2357,22) { cong( skol26, skol24,
% 4.66/5.04 skol25, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol25
% 4.66/5.04 T := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (18552) {G4,W5,D2,L1,V0,M1} R(552,2371) { cong( skol26, skol24
% 4.66/5.04 , skol26, skol24 ) }.
% 4.66/5.04 parent0: (25729) {G3,W5,D2,L1,V0,M1} { cong( skol26, skol24, skol26,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25730) {G1,W9,D2,L1,V0,M1} { eqangle( skol26, skol24, skol24
% 4.66/5.04 , skol24, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 parent0[0]: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 4.66/5.04 , X, X, Y, X, Y, Z, Y ) }.
% 4.66/5.04 parent1[0]: (18552) {G4,W5,D2,L1,V0,M1} R(552,2371) { cong( skol26, skol24
% 4.66/5.04 , skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (18839) {G5,W9,D2,L1,V0,M1} R(18552,46) { eqangle( skol26,
% 4.66/5.04 skol24, skol24, skol24, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 parent0: (25730) {G1,W9,D2,L1,V0,M1} { eqangle( skol26, skol24, skol24,
% 4.66/5.04 skol24, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25731) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol26, skol24
% 4.66/5.04 , skol24, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 parent0[1]: (468) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 4.66/5.04 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 4.66/5.04 parent1[0]: (18839) {G5,W9,D2,L1,V0,M1} R(18552,46) { eqangle( skol26,
% 4.66/5.04 skol24, skol24, skol24, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol24
% 4.66/5.04 U := skol24
% 4.66/5.04 W := skol24
% 4.66/5.04 V0 := skol26
% 4.66/5.04 V1 := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19344) {G6,W9,D2,L1,V0,M1} R(18839,468) { eqangle( skol24,
% 4.66/5.04 skol26, skol24, skol24, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 parent0: (25731) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol26, skol24,
% 4.66/5.04 skol24, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25732) {G1,W10,D2,L2,V0,M2} { para( skol26, skol24, skol24,
% 4.66/5.04 skol24 ), perp( skol26, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 4.66/5.04 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 parent1[0]: (18839) {G5,W9,D2,L1,V0,M1} R(18552,46) { eqangle( skol26,
% 4.66/5.04 skol24, skol24, skol24, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25733) {G2,W10,D2,L2,V0,M2} { perp( skol26, skol24, skol24,
% 4.66/5.04 skol24 ), perp( skol26, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0[1]: (17263) {G16,W10,D2,L2,V2,M2} R(17247,310) { perp( X, Y, skol24
% 4.66/5.04 , skol24 ), ! para( X, Y, skol24, skol24 ) }.
% 4.66/5.04 parent1[0]: (25732) {G1,W10,D2,L2,V0,M2} { para( skol26, skol24, skol24,
% 4.66/5.04 skol24 ), perp( skol26, skol24, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25734) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol24, skol24
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0, 1]: (25733) {G2,W10,D2,L2,V0,M2} { perp( skol26, skol24, skol24
% 4.66/5.04 , skol24 ), perp( skol26, skol24, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19348) {G17,W5,D2,L1,V0,M1} R(18839,71);r(17263) { perp(
% 4.66/5.04 skol26, skol24, skol24, skol24 ) }.
% 4.66/5.04 parent0: (25734) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol24,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25735) {G2,W5,D2,L1,V0,M1} { perp( skol24, skol24, skol26,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[1]: (265) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 4.66/5.04 ( Z, T, Y, X ) }.
% 4.66/5.04 parent1[0]: (19348) {G17,W5,D2,L1,V0,M1} R(18839,71);r(17263) { perp(
% 4.66/5.04 skol26, skol24, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol26
% 4.66/5.04 T := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19375) {G18,W5,D2,L1,V0,M1} R(19348,265) { perp( skol24,
% 4.66/5.04 skol24, skol26, skol24 ) }.
% 4.66/5.04 parent0: (25735) {G2,W5,D2,L1,V0,M1} { perp( skol24, skol24, skol26,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25736) {G2,W9,D2,L1,V0,M1} { eqangle( skol26, skol24, skol24
% 4.66/5.04 , skol24, skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 parent0[1]: (455) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W
% 4.66/5.04 , V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 4.66/5.04 parent1[0]: (19344) {G6,W9,D2,L1,V0,M1} R(18839,468) { eqangle( skol24,
% 4.66/5.04 skol26, skol24, skol24, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol24
% 4.66/5.04 U := skol24
% 4.66/5.04 W := skol24
% 4.66/5.04 V0 := skol24
% 4.66/5.04 V1 := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19563) {G7,W9,D2,L1,V0,M1} R(19344,455) { eqangle( skol26,
% 4.66/5.04 skol24, skol24, skol24, skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 parent0: (25736) {G2,W9,D2,L1,V0,M1} { eqangle( skol26, skol24, skol24,
% 4.66/5.04 skol24, skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25737) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol24, skol24
% 4.66/5.04 , skol26, skol24, skol26, skol24, skol24 ) }.
% 4.66/5.04 parent0[1]: (456) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W
% 4.66/5.04 , V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 4.66/5.04 parent1[0]: (19563) {G7,W9,D2,L1,V0,M1} R(19344,455) { eqangle( skol26,
% 4.66/5.04 skol24, skol24, skol24, skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol26
% 4.66/5.04 U := skol24
% 4.66/5.04 W := skol26
% 4.66/5.04 V0 := skol24
% 4.66/5.04 V1 := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19565) {G8,W9,D2,L1,V0,M1} R(19563,456) { eqangle( skol24,
% 4.66/5.04 skol24, skol24, skol26, skol24, skol26, skol24, skol24 ) }.
% 4.66/5.04 parent0: (25737) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol24, skol24,
% 4.66/5.04 skol26, skol24, skol26, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25738) {G1,W10,D2,L2,V0,M2} { para( skol24, skol24, skol24,
% 4.66/5.04 skol26 ), perp( skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 4.66/5.04 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 parent1[0]: (19565) {G8,W9,D2,L1,V0,M1} R(19563,456) { eqangle( skol24,
% 4.66/5.04 skol24, skol24, skol26, skol24, skol26, skol24, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25739) {G2,W10,D2,L2,V0,M2} { para( skol24, skol24, skol24,
% 4.66/5.04 skol26 ), para( skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 parent0[0]: (17280) {G16,W10,D2,L2,V2,M2} R(17247,279) { ! perp( skol24,
% 4.66/5.04 skol24, X, Y ), para( skol24, skol24, X, Y ) }.
% 4.66/5.04 parent1[1]: (25738) {G1,W10,D2,L2,V0,M2} { para( skol24, skol24, skol24,
% 4.66/5.04 skol26 ), perp( skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 factor: (25740) {G2,W5,D2,L1,V0,M1} { para( skol24, skol24, skol24, skol26
% 4.66/5.04 ) }.
% 4.66/5.04 parent0[0, 1]: (25739) {G2,W10,D2,L2,V0,M2} { para( skol24, skol24, skol24
% 4.66/5.04 , skol26 ), para( skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19566) {G17,W5,D2,L1,V0,M1} R(19565,71);r(17280) { para(
% 4.66/5.04 skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 parent0: (25740) {G2,W5,D2,L1,V0,M1} { para( skol24, skol24, skol24,
% 4.66/5.04 skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25741) {G1,W5,D2,L1,V0,M1} { para( skol24, skol24, skol26,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 4.66/5.04 T, Z ) }.
% 4.66/5.04 parent1[0]: (19566) {G17,W5,D2,L1,V0,M1} R(19565,71);r(17280) { para(
% 4.66/5.04 skol24, skol24, skol24, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol24
% 4.66/5.04 T := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19599) {G18,W5,D2,L1,V0,M1} R(19566,3) { para( skol24, skol24
% 4.66/5.04 , skol26, skol24 ) }.
% 4.66/5.04 parent0: (25741) {G1,W5,D2,L1,V0,M1} { para( skol24, skol24, skol26,
% 4.66/5.04 skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25742) {G1,W9,D2,L1,V2,M1} { eqangle( skol24, skol24, X, Y,
% 4.66/5.04 skol26, skol24, X, Y ) }.
% 4.66/5.04 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.66/5.04 , Y, U, W, Z, T, U, W ) }.
% 4.66/5.04 parent1[0]: (19599) {G18,W5,D2,L1,V0,M1} R(19566,3) { para( skol24, skol24
% 4.66/5.04 , skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol26
% 4.66/5.04 T := skol24
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19653) {G19,W9,D2,L1,V2,M1} R(19599,39) { eqangle( skol24,
% 4.66/5.04 skol24, X, Y, skol26, skol24, X, Y ) }.
% 4.66/5.04 parent0: (25742) {G1,W9,D2,L1,V2,M1} { eqangle( skol24, skol24, X, Y,
% 4.66/5.04 skol26, skol24, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25743) {G2,W9,D2,L1,V2,M1} { eqangle( skol24, skol24, skol26
% 4.66/5.04 , skol24, X, Y, X, Y ) }.
% 4.66/5.04 parent0[1]: (468) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 4.66/5.04 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 4.66/5.04 parent1[0]: (19653) {G19,W9,D2,L1,V2,M1} R(19599,39) { eqangle( skol24,
% 4.66/5.04 skol24, X, Y, skol26, skol24, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol26
% 4.66/5.04 T := skol24
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 V0 := X
% 4.66/5.04 V1 := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19939) {G20,W9,D2,L1,V2,M1} R(19653,468) { eqangle( skol24,
% 4.66/5.04 skol24, skol26, skol24, X, Y, X, Y ) }.
% 4.66/5.04 parent0: (25743) {G2,W9,D2,L1,V2,M1} { eqangle( skol24, skol24, skol26,
% 4.66/5.04 skol24, X, Y, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25744) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol24,
% 4.66/5.04 skol24, skol26, skol24 ) }.
% 4.66/5.04 parent0[0]: (457) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 4.66/5.04 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 4.66/5.04 parent1[0]: (19939) {G20,W9,D2,L1,V2,M1} R(19653,468) { eqangle( skol24,
% 4.66/5.04 skol24, skol26, skol24, X, Y, X, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol24
% 4.66/5.04 Z := skol26
% 4.66/5.04 T := skol24
% 4.66/5.04 U := X
% 4.66/5.04 W := Y
% 4.66/5.04 V0 := X
% 4.66/5.04 V1 := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19945) {G21,W9,D2,L1,V2,M1} R(19939,457) { eqangle( X, Y, Y,
% 4.66/5.04 X, skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 parent0: (25744) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol24, skol24
% 4.66/5.04 , skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25745) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol24, skol26
% 4.66/5.04 , skol24 ), perp( X, Y, Y, X ) }.
% 4.66/5.04 parent0[0]: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.66/5.04 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.66/5.04 parent1[0]: (19945) {G21,W9,D2,L1,V2,M1} R(19939,457) { eqangle( X, Y, Y, X
% 4.66/5.04 , skol24, skol24, skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Y
% 4.66/5.04 T := X
% 4.66/5.04 U := skol24
% 4.66/5.04 W := skol24
% 4.66/5.04 V0 := skol26
% 4.66/5.04 V1 := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25746) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 4.66/5.04 parent0[0]: (25745) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol24, skol26
% 4.66/5.04 , skol24 ), perp( X, Y, Y, X ) }.
% 4.66/5.04 parent1[0]: (19375) {G18,W5,D2,L1,V0,M1} R(19348,265) { perp( skol24,
% 4.66/5.04 skol24, skol26, skol24 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19952) {G22,W5,D2,L1,V2,M1} R(19945,73);r(19375) { perp( X, Y
% 4.66/5.04 , Y, X ) }.
% 4.66/5.04 parent0: (25746) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25747) {G8,W5,D2,L1,V0,M1} { para( skol25, skol20, skol24,
% 4.66/5.04 skol20 ) }.
% 4.66/5.04 parent0[0]: (380) {G7,W10,D2,L2,V2,M2} R(370,8) { ! perp( skol20, skol24, X
% 4.66/5.04 , Y ), para( skol25, skol20, X, Y ) }.
% 4.66/5.04 parent1[0]: (19952) {G22,W5,D2,L1,V2,M1} R(19945,73);r(19375) { perp( X, Y
% 4.66/5.04 , Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol24
% 4.66/5.04 Y := skol20
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := skol20
% 4.66/5.04 Y := skol24
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (19985) {G23,W5,D2,L1,V0,M1} R(19952,380) { para( skol25,
% 4.66/5.04 skol20, skol24, skol20 ) }.
% 4.66/5.04 parent0: (25747) {G8,W5,D2,L1,V0,M1} { para( skol25, skol20, skol24,
% 4.66/5.04 skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25748) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.66/5.04 , Z, X, Z ) }.
% 4.66/5.04 parent0[0]: (829) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 4.66/5.04 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.66/5.04 parent1[0]: (7903) {G17,W4,D2,L1,V3,M1} R(7890,2);r(7890) { coll( Z, Y, X )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25749) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.66/5.04 parent0[1]: (25748) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.66/5.04 , Z, X, Z ) }.
% 4.66/5.04 parent1[0]: (9353) {G26,W5,D2,L1,V2,M1} R(292,8697) { para( X, Y, X, Y )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (20128) {G27,W5,D2,L1,V3,M1} S(829);r(7903);r(9353) { cyclic(
% 4.66/5.04 Z, Y, X, X ) }.
% 4.66/5.04 parent0: (25749) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25750) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.66/5.04 parent0[0]: (372) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.66/5.04 cyclic( Y, Z, X, T ) }.
% 4.66/5.04 parent1[0]: (20128) {G27,W5,D2,L1,V3,M1} S(829);r(7903);r(9353) { cyclic( Z
% 4.66/5.04 , Y, X, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (20146) {G28,W5,D2,L1,V3,M1} R(20128,372) { cyclic( X, Y, Z, Y
% 4.66/5.04 ) }.
% 4.66/5.04 parent0: (25750) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25751) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.66/5.04 parent0[0]: (354) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.66/5.04 cyclic( X, Z, T, Y ) }.
% 4.66/5.04 parent1[0]: (20128) {G27,W5,D2,L1,V3,M1} S(829);r(7903);r(9353) { cyclic( Z
% 4.66/5.04 , Y, X, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := Z
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (20148) {G28,W5,D2,L1,V3,M1} R(20128,354) { cyclic( X, Y, Y, Z
% 4.66/5.04 ) }.
% 4.66/5.04 parent0: (25751) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Z
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25753) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.66/5.04 ( Y, Y, Z, T ) }.
% 4.66/5.04 parent0[2]: (403) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.66/5.04 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.66/5.04 parent1[0]: (20146) {G28,W5,D2,L1,V3,M1} R(20128,372) { cyclic( X, Y, Z, Y
% 4.66/5.04 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Y
% 4.66/5.04 T := Z
% 4.66/5.04 U := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := T
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25754) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.66/5.04 parent0[0]: (25753) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.66/5.04 ( Y, Y, Z, T ) }.
% 4.66/5.04 parent1[0]: (20148) {G28,W5,D2,L1,V3,M1} R(20128,354) { cyclic( X, Y, Y, Z
% 4.66/5.04 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (20152) {G29,W5,D2,L1,V3,M1} R(20146,403);r(20148) { cyclic( Y
% 4.66/5.04 , Y, Z, T ) }.
% 4.66/5.04 parent0: (25754) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := U
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25755) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.66/5.04 ( X, X, T, Y ) }.
% 4.66/5.04 parent0[0]: (403) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.66/5.04 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.66/5.04 parent1[0]: (20152) {G29,W5,D2,L1,V3,M1} R(20146,403);r(20148) { cyclic( Y
% 4.66/5.04 , Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 T := Z
% 4.66/5.04 U := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := U
% 4.66/5.04 Y := X
% 4.66/5.04 Z := Y
% 4.66/5.04 T := Z
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25757) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.66/5.04 parent0[1]: (25755) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.66/5.04 ( X, X, T, Y ) }.
% 4.66/5.04 parent1[0]: (20152) {G29,W5,D2,L1,V3,M1} R(20146,403);r(20148) { cyclic( Y
% 4.66/5.04 , Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := U
% 4.66/5.04 Y := X
% 4.66/5.04 Z := T
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (20160) {G30,W5,D2,L1,V4,M1} R(20152,403);r(20152) { cyclic( X
% 4.66/5.04 , Y, Z, T ) }.
% 4.66/5.04 parent0: (25757) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := Z
% 4.66/5.04 T := T
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25758) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol25, skol24 ), !
% 4.66/5.04 para( skol25, skol20, skol24, skol20 ), midp( X, skol20, skol20 ) }.
% 4.66/5.04 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 4.66/5.04 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.66/5.04 parent1[0]: (19985) {G23,W5,D2,L1,V0,M1} R(19952,380) { para( skol25,
% 4.66/5.04 skol20, skol24, skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol20
% 4.66/5.04 Y := skol20
% 4.66/5.04 Z := X
% 4.66/5.04 T := skol25
% 4.66/5.04 U := skol24
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25759) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol24 ),
% 4.66/5.04 midp( X, skol20, skol20 ) }.
% 4.66/5.04 parent0[1]: (25758) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol25, skol24 ), !
% 4.66/5.04 para( skol25, skol20, skol24, skol20 ), midp( X, skol20, skol20 ) }.
% 4.66/5.04 parent1[0]: (19985) {G23,W5,D2,L1,V0,M1} R(19952,380) { para( skol25,
% 4.66/5.04 skol20, skol24, skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (21680) {G24,W8,D2,L2,V1,M2} R(19985,64);r(19985) { ! midp( X
% 4.66/5.04 , skol25, skol24 ), midp( X, skol20, skol20 ) }.
% 4.66/5.04 parent0: (25759) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol24 ), midp(
% 4.66/5.04 X, skol20, skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 1 ==> 1
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25760) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol20 )
% 4.66/5.04 }.
% 4.66/5.04 parent0[0]: (21680) {G24,W8,D2,L2,V1,M2} R(19985,64);r(19985) { ! midp( X,
% 4.66/5.04 skol25, skol24 ), midp( X, skol20, skol20 ) }.
% 4.66/5.04 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol24 )
% 4.66/5.04 }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (23997) {G25,W4,D2,L1,V0,M1} R(21680,117) { midp( skol26,
% 4.66/5.04 skol20, skol20 ) }.
% 4.66/5.04 parent0: (25760) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25761) {G26,W4,D2,L1,V1,M1} { midp( skol26, X, X ) }.
% 4.66/5.04 parent0[0]: (9357) {G27,W8,D2,L2,V3,M2} R(9353,139) { ! midp( X, Y, Y ),
% 4.66/5.04 midp( X, Z, Z ) }.
% 4.66/5.04 parent1[0]: (23997) {G25,W4,D2,L1,V0,M1} R(21680,117) { midp( skol26,
% 4.66/5.04 skol20, skol20 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol20
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (24002) {G28,W4,D2,L1,V1,M1} R(23997,9357) { midp( skol26, X,
% 4.66/5.04 X ) }.
% 4.66/5.04 parent0: (25761) {G26,W4,D2,L1,V1,M1} { midp( skol26, X, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25762) {G1,W5,D2,L1,V1,M1} { cong( skol26, X, skol26, X ) }.
% 4.66/5.04 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.66/5.04 Z ) }.
% 4.66/5.04 parent1[0]: (24002) {G28,W4,D2,L1,V1,M1} R(23997,9357) { midp( skol26, X, X
% 4.66/5.04 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := X
% 4.66/5.04 Z := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (24022) {G29,W5,D2,L1,V1,M1} R(24002,68) { cong( skol26, X,
% 4.66/5.04 skol26, X ) }.
% 4.66/5.04 parent0: (25762) {G1,W5,D2,L1,V1,M1} { cong( skol26, X, skol26, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25763) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, Y, X ), cong( X,
% 4.66/5.04 skol26, Y, skol26 ) }.
% 4.66/5.04 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 4.66/5.04 X, T ), cong( X, Z, Y, Z ) }.
% 4.66/5.04 parent1[0]: (24002) {G28,W4,D2,L1,V1,M1} R(23997,9357) { midp( skol26, X, X
% 4.66/5.04 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 Z := skol26
% 4.66/5.04 T := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25764) {G2,W5,D2,L1,V2,M1} { cong( X, skol26, Y, skol26 ) }.
% 4.66/5.04 parent0[0]: (25763) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, Y, X ), cong( X,
% 4.66/5.04 skol26, Y, skol26 ) }.
% 4.66/5.04 parent1[0]: (19952) {G22,W5,D2,L1,V2,M1} R(19945,73);r(19375) { perp( X, Y
% 4.66/5.04 , Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (24027) {G29,W5,D2,L1,V2,M1} R(24002,52);r(19952) { cong( X,
% 4.66/5.04 skol26, Y, skol26 ) }.
% 4.66/5.04 parent0: (25764) {G2,W5,D2,L1,V2,M1} { cong( X, skol26, Y, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25765) {G2,W5,D2,L1,V2,M1} { cong( Y, skol26, skol26, X ) }.
% 4.66/5.04 parent0[0]: (519) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 4.66/5.04 cong( Z, T, Y, X ) }.
% 4.66/5.04 parent1[0]: (24027) {G29,W5,D2,L1,V2,M1} R(24002,52);r(19952) { cong( X,
% 4.66/5.04 skol26, Y, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := Y
% 4.66/5.04 T := skol26
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (24099) {G30,W5,D2,L1,V2,M1} R(24027,519) { cong( X, skol26,
% 4.66/5.04 skol26, Y ) }.
% 4.66/5.04 parent0: (25765) {G2,W5,D2,L1,V2,M1} { cong( Y, skol26, skol26, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25766) {G2,W5,D2,L1,V2,M1} { perp( X, Y, skol26, skol26 ) }.
% 4.66/5.04 parent0[0]: (135) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp(
% 4.66/5.04 X, Z, Y, Y ) }.
% 4.66/5.04 parent1[0]: (24027) {G29,W5,D2,L1,V2,M1} R(24002,52);r(19952) { cong( X,
% 4.66/5.04 skol26, Y, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (24102) {G30,W5,D2,L1,V2,M1} R(24027,135) { perp( X, Y, skol26
% 4.66/5.04 , skol26 ) }.
% 4.66/5.04 parent0: (25766) {G2,W5,D2,L1,V2,M1} { perp( X, Y, skol26, skol26 ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25767) {G2,W5,D2,L1,V2,M1} { cong( skol26, Y, skol26, X ) }.
% 4.66/5.04 parent0[0]: (519) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 4.66/5.04 cong( Z, T, Y, X ) }.
% 4.66/5.04 parent1[0]: (24099) {G30,W5,D2,L1,V2,M1} R(24027,519) { cong( X, skol26,
% 4.66/5.04 skol26, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := skol26
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (24128) {G31,W5,D2,L1,V2,M1} R(24099,519) { cong( skol26, X,
% 4.66/5.04 skol26, Y ) }.
% 4.66/5.04 parent0: (25767) {G2,W5,D2,L1,V2,M1} { cong( skol26, Y, skol26, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25768) {G1,W10,D2,L2,V2,M2} { ! cong( skol26, Y, skol26, Y )
% 4.66/5.04 , perp( skol26, skol26, X, Y ) }.
% 4.66/5.04 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 4.66/5.04 T, Y, T ), perp( X, Y, Z, T ) }.
% 4.66/5.04 parent1[0]: (24128) {G31,W5,D2,L1,V2,M1} R(24099,519) { cong( skol26, X,
% 4.66/5.04 skol26, Y ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := skol26
% 4.66/5.04 Y := skol26
% 4.66/5.04 Z := X
% 4.66/5.04 T := Y
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25770) {G2,W5,D2,L1,V2,M1} { perp( skol26, skol26, Y, X ) }.
% 4.66/5.04 parent0[0]: (25768) {G1,W10,D2,L2,V2,M2} { ! cong( skol26, Y, skol26, Y )
% 4.66/5.04 , perp( skol26, skol26, X, Y ) }.
% 4.66/5.04 parent1[0]: (24022) {G29,W5,D2,L1,V1,M1} R(24002,68) { cong( skol26, X,
% 4.66/5.04 skol26, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := Y
% 4.66/5.04 Y := X
% 4.66/5.04 end
% 4.66/5.04 substitution1:
% 4.66/5.04 X := X
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 subsumption: (24151) {G32,W5,D2,L1,V2,M1} R(24128,56);r(24022) { perp(
% 4.66/5.04 skol26, skol26, Y, X ) }.
% 4.66/5.04 parent0: (25770) {G2,W5,D2,L1,V2,M1} { perp( skol26, skol26, Y, X ) }.
% 4.66/5.04 substitution0:
% 4.66/5.04 X := X
% 4.66/5.04 Y := Y
% 4.66/5.04 end
% 4.66/5.04 permutation0:
% 4.66/5.04 0 ==> 0
% 4.66/5.04 end
% 4.66/5.04
% 4.66/5.04 resolution: (25772) {G2,W14,D2,L2,V6,M2} { eqangle( X, Y, Z, T, U, W, Z, T
% 4.66/5.04 ), ! perp( X, Y, skol26, skol26 ) }.
% 4.66/5.05 parent0[2]: (736) {G1,W19,D2,L3,V8,M3} R(39,8) { eqangle( X, Y, Z, T, U, W
% 4.66/5.05 , Z, T ), ! perp( X, Y, V0, V1 ), ! perp( V0, V1, U, W ) }.
% 4.66/5.05 parent1[0]: (24151) {G32,W5,D2,L1,V2,M1} R(24128,56);r(24022) { perp(
% 4.66/5.05 skol26, skol26, Y, X ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 V0 := skol26
% 4.66/5.05 V1 := skol26
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := W
% 4.66/5.05 Y := U
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25773) {G3,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 4.66/5.05 ) }.
% 4.66/5.05 parent0[1]: (25772) {G2,W14,D2,L2,V6,M2} { eqangle( X, Y, Z, T, U, W, Z, T
% 4.66/5.05 ), ! perp( X, Y, skol26, skol26 ) }.
% 4.66/5.05 parent1[0]: (24102) {G30,W5,D2,L1,V2,M1} R(24027,135) { perp( X, Y, skol26
% 4.66/5.05 , skol26 ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 subsumption: (24157) {G33,W9,D2,L1,V6,M1} R(24151,736);r(24102) { eqangle(
% 4.66/5.05 X, Y, Z, T, U, W, Z, T ) }.
% 4.66/5.05 parent0: (25773) {G3,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 4.66/5.05 }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 end
% 4.66/5.05 permutation0:
% 4.66/5.05 0 ==> 0
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25774) {G2,W14,D2,L2,V6,M2} { ! eqangle( X, Y, Z, T, skol26,
% 4.66/5.05 skol26, Z, T ), perp( X, Y, U, W ) }.
% 4.66/5.05 parent0[1]: (723) {G1,W19,D2,L3,V8,M3} R(38,9) { ! eqangle( X, Y, Z, T, U,
% 4.66/5.05 W, Z, T ), ! perp( U, W, V0, V1 ), perp( X, Y, V0, V1 ) }.
% 4.66/5.05 parent1[0]: (24151) {G32,W5,D2,L1,V2,M1} R(24128,56);r(24022) { perp(
% 4.66/5.05 skol26, skol26, Y, X ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := skol26
% 4.66/5.05 W := skol26
% 4.66/5.05 V0 := U
% 4.66/5.05 V1 := W
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := W
% 4.66/5.05 Y := U
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25775) {G3,W5,D2,L1,V4,M1} { perp( X, Y, U, W ) }.
% 4.66/5.05 parent0[0]: (25774) {G2,W14,D2,L2,V6,M2} { ! eqangle( X, Y, Z, T, skol26,
% 4.66/5.05 skol26, Z, T ), perp( X, Y, U, W ) }.
% 4.66/5.05 parent1[0]: (24157) {G33,W9,D2,L1,V6,M1} R(24151,736);r(24102) { eqangle( X
% 4.66/5.05 , Y, Z, T, U, W, Z, T ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := skol26
% 4.66/5.05 W := skol26
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 subsumption: (24158) {G34,W5,D2,L1,V4,M1} R(24151,723);r(24157) { perp( X,
% 4.66/5.05 Y, U, W ) }.
% 4.66/5.05 parent0: (25775) {G3,W5,D2,L1,V4,M1} { perp( X, Y, U, W ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := V0
% 4.66/5.05 T := V1
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 end
% 4.66/5.05 permutation0:
% 4.66/5.05 0 ==> 0
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25777) {G2,W10,D2,L2,V4,M2} { ! perp( X, Y, skol26, skol26 )
% 4.66/5.05 , para( Z, T, X, Y ) }.
% 4.66/5.05 parent0[1]: (283) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 4.66/5.05 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 4.66/5.05 parent1[0]: (24151) {G32,W5,D2,L1,V2,M1} R(24128,56);r(24022) { perp(
% 4.66/5.05 skol26, skol26, Y, X ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := skol26
% 4.66/5.05 T := skol26
% 4.66/5.05 U := Z
% 4.66/5.05 W := T
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := T
% 4.66/5.05 Y := Z
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25779) {G3,W5,D2,L1,V4,M1} { para( Z, T, X, Y ) }.
% 4.66/5.05 parent0[0]: (25777) {G2,W10,D2,L2,V4,M2} { ! perp( X, Y, skol26, skol26 )
% 4.66/5.05 , para( Z, T, X, Y ) }.
% 4.66/5.05 parent1[0]: (24158) {G34,W5,D2,L1,V4,M1} R(24151,723);r(24157) { perp( X, Y
% 4.66/5.05 , U, W ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := U
% 4.66/5.05 T := W
% 4.66/5.05 U := skol26
% 4.66/5.05 W := skol26
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 subsumption: (24170) {G35,W5,D2,L1,V4,M1} R(24151,283);r(24158) { para( Z,
% 4.66/5.05 T, X, Y ) }.
% 4.66/5.05 parent0: (25779) {G3,W5,D2,L1,V4,M1} { para( Z, T, X, Y ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 end
% 4.66/5.05 permutation0:
% 4.66/5.05 0 ==> 0
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25780) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T
% 4.66/5.05 ) }.
% 4.66/5.05 parent0[0]: (734) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 4.66/5.05 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 4.66/5.05 parent1[0]: (24170) {G35,W5,D2,L1,V4,M1} R(24151,283);r(24158) { para( Z, T
% 4.66/5.05 , X, Y ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := Z
% 4.66/5.05 Y := T
% 4.66/5.05 Z := X
% 4.66/5.05 T := Y
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 subsumption: (24179) {G36,W9,D2,L1,V6,M1} R(24170,734) { eqangle( X, Y, Z,
% 4.66/5.05 T, X, Y, U, W ) }.
% 4.66/5.05 parent0: (25780) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T )
% 4.66/5.05 }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := Z
% 4.66/5.05 Y := T
% 4.66/5.05 Z := U
% 4.66/5.05 T := W
% 4.66/5.05 U := X
% 4.66/5.05 W := Y
% 4.66/5.05 end
% 4.66/5.05 permutation0:
% 4.66/5.05 0 ==> 0
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25781) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 4.66/5.05 ) }.
% 4.66/5.05 parent0[0]: (732) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 4.66/5.05 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 4.66/5.05 parent1[0]: (24170) {G35,W5,D2,L1,V4,M1} R(24151,283);r(24158) { para( Z, T
% 4.66/5.05 , X, Y ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := Z
% 4.66/5.05 Y := T
% 4.66/5.05 Z := X
% 4.66/5.05 T := Y
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 subsumption: (24180) {G36,W9,D2,L1,V6,M1} R(24170,732) { eqangle( X, Y, Z,
% 4.66/5.05 T, U, W, U, W ) }.
% 4.66/5.05 parent0: (25781) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 4.66/5.05 }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 end
% 4.66/5.05 permutation0:
% 4.66/5.05 0 ==> 0
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25792) {G2,W19,D2,L3,V2,M3} { ! cyclic( skol22, skol20, X,
% 4.66/5.05 skol23 ), ! cyclic( skol22, skol20, X, Y ), ! eqangle( X, skol22, X,
% 4.66/5.05 skol20, Y, skol22, Y, skol23 ) }.
% 4.66/5.05 parent0[0]: (964) {G1,W24,D2,L4,V2,M4} R(43,122) { ! cyclic( skol22, skol20
% 4.66/5.05 , X, skol22 ), ! cyclic( skol22, skol20, X, skol23 ), ! cyclic( skol22,
% 4.66/5.05 skol20, X, Y ), ! eqangle( X, skol22, X, skol20, Y, skol22, Y, skol23 )
% 4.66/5.05 }.
% 4.66/5.05 parent1[0]: (20160) {G30,W5,D2,L1,V4,M1} R(20152,403);r(20152) { cyclic( X
% 4.66/5.05 , Y, Z, T ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := skol22
% 4.66/5.05 Y := skol20
% 4.66/5.05 Z := X
% 4.66/5.05 T := skol22
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25798) {G3,W14,D2,L2,V2,M2} { ! cyclic( skol22, skol20, X, Y
% 4.66/5.05 ), ! eqangle( X, skol22, X, skol20, Y, skol22, Y, skol23 ) }.
% 4.66/5.05 parent0[0]: (25792) {G2,W19,D2,L3,V2,M3} { ! cyclic( skol22, skol20, X,
% 4.66/5.05 skol23 ), ! cyclic( skol22, skol20, X, Y ), ! eqangle( X, skol22, X,
% 4.66/5.05 skol20, Y, skol22, Y, skol23 ) }.
% 4.66/5.05 parent1[0]: (20160) {G30,W5,D2,L1,V4,M1} R(20152,403);r(20152) { cyclic( X
% 4.66/5.05 , Y, Z, T ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := skol22
% 4.66/5.05 Y := skol20
% 4.66/5.05 Z := X
% 4.66/5.05 T := skol23
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25800) {G4,W9,D2,L1,V2,M1} { ! eqangle( X, skol22, X, skol20
% 4.66/5.05 , Y, skol22, Y, skol23 ) }.
% 4.66/5.05 parent0[0]: (25798) {G3,W14,D2,L2,V2,M2} { ! cyclic( skol22, skol20, X, Y
% 4.66/5.05 ), ! eqangle( X, skol22, X, skol20, Y, skol22, Y, skol23 ) }.
% 4.66/5.05 parent1[0]: (20160) {G30,W5,D2,L1,V4,M1} R(20152,403);r(20152) { cyclic( X
% 4.66/5.05 , Y, Z, T ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := skol22
% 4.66/5.05 Y := skol20
% 4.66/5.05 Z := X
% 4.66/5.05 T := Y
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 subsumption: (24687) {G31,W9,D2,L1,V2,M1} S(964);r(20160);r(20160);r(20160)
% 4.66/5.05 { ! eqangle( X, skol22, X, skol20, Y, skol22, Y, skol23 ) }.
% 4.66/5.05 parent0: (25800) {G4,W9,D2,L1,V2,M1} { ! eqangle( X, skol22, X, skol20, Y
% 4.66/5.05 , skol22, Y, skol23 ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 end
% 4.66/5.05 permutation0:
% 4.66/5.05 0 ==> 0
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25802) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 4.66/5.05 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 4.66/5.05 parent0[2]: (480) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U
% 4.66/5.05 , W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2
% 4.66/5.05 , V3, V0, V1, V4, V5 ) }.
% 4.66/5.05 parent1[0]: (24179) {G36,W9,D2,L1,V6,M1} R(24170,734) { eqangle( X, Y, Z, T
% 4.66/5.05 , X, Y, U, W ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 V0 := U
% 4.66/5.05 V1 := W
% 4.66/5.05 V2 := V0
% 4.66/5.05 V3 := V1
% 4.66/5.05 V4 := V2
% 4.66/5.05 V5 := V3
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := U
% 4.66/5.05 Y := W
% 4.66/5.05 Z := V0
% 4.66/5.05 T := V1
% 4.66/5.05 U := V2
% 4.66/5.05 W := V3
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25803) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2
% 4.66/5.05 , V3 ) }.
% 4.66/5.05 parent0[0]: (25802) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 4.66/5.05 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 4.66/5.05 parent1[0]: (24180) {G36,W9,D2,L1,V6,M1} R(24170,732) { eqangle( X, Y, Z, T
% 4.66/5.05 , U, W, U, W ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 V0 := V0
% 4.66/5.05 V1 := V1
% 4.66/5.05 V2 := V2
% 4.66/5.05 V3 := V3
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := U
% 4.66/5.05 W := W
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 subsumption: (24688) {G37,W9,D2,L1,V8,M1} R(24179,480);r(24180) { eqangle(
% 4.66/5.05 X, Y, Z, T, V0, V1, V2, V3 ) }.
% 4.66/5.05 parent0: (25803) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2, V3
% 4.66/5.05 ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 Z := Z
% 4.66/5.05 T := T
% 4.66/5.05 U := V4
% 4.66/5.05 W := V5
% 4.66/5.05 V0 := V0
% 4.66/5.05 V1 := V1
% 4.66/5.05 V2 := V2
% 4.66/5.05 V3 := V3
% 4.66/5.05 end
% 4.66/5.05 permutation0:
% 4.66/5.05 0 ==> 0
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 resolution: (25804) {G32,W0,D0,L0,V0,M0} { }.
% 4.66/5.05 parent0[0]: (24687) {G31,W9,D2,L1,V2,M1} S(964);r(20160);r(20160);r(20160)
% 4.66/5.05 { ! eqangle( X, skol22, X, skol20, Y, skol22, Y, skol23 ) }.
% 4.66/5.05 parent1[0]: (24688) {G37,W9,D2,L1,V8,M1} R(24179,480);r(24180) { eqangle( X
% 4.66/5.05 , Y, Z, T, V0, V1, V2, V3 ) }.
% 4.66/5.05 substitution0:
% 4.66/5.05 X := X
% 4.66/5.05 Y := Y
% 4.66/5.05 end
% 4.66/5.05 substitution1:
% 4.66/5.05 X := X
% 4.66/5.05 Y := skol22
% 4.66/5.05 Z := X
% 4.66/5.05 T := skol20
% 4.66/5.05 U := Z
% 4.66/5.05 W := T
% 4.66/5.05 V0 := Y
% 4.66/5.05 V1 := skol22
% 4.66/5.05 V2 := Y
% 4.66/5.05 V3 := skol23
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 subsumption: (24689) {G38,W0,D0,L0,V0,M0} S(24687);r(24688) { }.
% 4.66/5.05 parent0: (25804) {G32,W0,D0,L0,V0,M0} { }.
% 4.66/5.05 substitution0:
% 4.66/5.05 end
% 4.66/5.05 permutation0:
% 4.66/5.05 end
% 4.66/5.05
% 4.66/5.05 Proof check complete!
% 4.66/5.05
% 4.66/5.05 Memory use:
% 4.66/5.05
% 4.66/5.05 space for terms: 385488
% 4.66/5.05 space for clauses: 1251133
% 4.66/5.05
% 4.66/5.05
% 4.66/5.05 clauses generated: 145029
% 4.66/5.05 clauses kept: 24690
% 4.66/5.05 clauses selected: 2229
% 4.66/5.05 clauses deleted: 8035
% 4.66/5.05 clauses inuse deleted: 1624
% 4.66/5.05
% 4.66/5.05 subsentry: 2224310
% 4.66/5.05 literals s-matched: 1446419
% 4.66/5.05 literals matched: 878339
% 4.66/5.05 full subsumption: 326470
% 4.66/5.05
% 4.66/5.05 checksum: -1284461399
% 4.66/5.05
% 4.66/5.05
% 4.66/5.05 Bliksem ended
%------------------------------------------------------------------------------