TSTP Solution File: GEO597+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO597+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 02:54:59 EDT 2022
% Result : Theorem 9.22s 9.62s
% Output : Refutation 9.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO597+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n016.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 : Sat Jun 18 07:47:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.73/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.73/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.73/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.73/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.73/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.73/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.73/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.73/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.73/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.73/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.73/1.12 ( X, Y, Z, T ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.73/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.73/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.73/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.73/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.73/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.73/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.73/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.73/1.12 ( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.73/1.12 ( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.73/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.73/1.12 T ) }.
% 0.73/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.73/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.73/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.73/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.73/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.73/1.12 }.
% 0.73/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.73/1.12 Z, Y ) }.
% 0.73/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.73/1.12 X, Z ) }.
% 0.73/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.73/1.12 U ) }.
% 0.73/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.73/1.12 , Z ), midp( Z, X, Y ) }.
% 0.73/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.73/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.73/1.12 Z, Y ) }.
% 0.73/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.73/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.73/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.73/1.12 ( Y, X, X, Z ) }.
% 0.73/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.73/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.73/1.12 , W ) }.
% 0.73/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.73/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.73/1.12 , Y ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.73/1.12 , X, Z, U, Y, Y, T ) }.
% 0.73/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.73/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.73/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.73/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.73/1.12 .
% 0.73/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.73/1.12 , Z, T ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.73/1.12 , Z, T ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.73/1.12 , Z, T ) }.
% 0.73/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.73/1.12 , W, Z, T ), Z, T ) }.
% 0.73/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.73/1.12 , Y, Z, T ), X, Y ) }.
% 0.73/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.73/1.12 , W, Z, T ), Z, T ) }.
% 0.73/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.73/1.12 skol2( X, Y, Z, T ) ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.73/1.12 , W, Z, T ), Z, T ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.73/1.12 skol3( X, Y, Z, T ) ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.73/1.12 , T ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.73/1.12 ) ) }.
% 0.73/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.73/1.12 skol5( W, Y, Z, T ) ) }.
% 0.73/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.73/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.73/1.12 , X, T ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.73/1.12 W, X, Z ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.73/1.12 , Y, T ) }.
% 0.73/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.73/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.73/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.73/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.73/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.73/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.73/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.73/1.12 Z, T ) ) }.
% 0.73/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.73/1.12 , T ) ) }.
% 0.73/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.73/1.12 , X, Y ) }.
% 0.73/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.73/1.12 ) }.
% 0.73/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.73/1.12 , Y ) }.
% 0.73/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.73/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.28/5.66 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.28/5.66 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.28/5.66 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.28/5.66 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.28/5.66 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.28/5.66 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.28/5.66 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.28/5.66 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.28/5.66 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.28/5.66 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.28/5.66 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.28/5.66 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.28/5.66 X, Y, Z ) }.
% 5.28/5.66 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.28/5.66 }.
% 5.28/5.66 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.28/5.66 ) }.
% 5.28/5.66 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.28/5.66 skol17( X, Y ), X, Y ) }.
% 5.28/5.66 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.28/5.66 }.
% 5.28/5.66 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.28/5.66 ) }.
% 5.28/5.66 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.28/5.66 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.28/5.66 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.28/5.66 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.28/5.66 { circle( skol25, skol20, skol22, skol23 ) }.
% 5.28/5.66 { midp( skol26, skol22, skol20 ) }.
% 5.28/5.66 { coll( skol24, skol25, skol26 ) }.
% 5.28/5.66 { circle( skol25, skol20, skol24, skol27 ) }.
% 5.28/5.66 { ! eqangle( skol20, skol23, skol23, skol24, skol24, skol23, skol23, skol22
% 5.28/5.66 ) }.
% 5.28/5.66
% 5.28/5.66 percentage equality = 0.008850, percentage horn = 0.925620
% 5.28/5.66 This is a problem with some equality
% 5.28/5.66
% 5.28/5.66
% 5.28/5.66
% 5.28/5.66 Options Used:
% 5.28/5.66
% 5.28/5.66 useres = 1
% 5.28/5.66 useparamod = 1
% 5.28/5.66 useeqrefl = 1
% 5.28/5.66 useeqfact = 1
% 5.28/5.66 usefactor = 1
% 5.28/5.66 usesimpsplitting = 0
% 5.28/5.66 usesimpdemod = 5
% 5.28/5.66 usesimpres = 3
% 5.28/5.66
% 5.28/5.66 resimpinuse = 1000
% 5.28/5.66 resimpclauses = 20000
% 5.28/5.66 substype = eqrewr
% 5.28/5.66 backwardsubs = 1
% 5.28/5.66 selectoldest = 5
% 5.28/5.66
% 5.28/5.66 litorderings [0] = split
% 5.28/5.66 litorderings [1] = extend the termordering, first sorting on arguments
% 5.28/5.66
% 5.28/5.66 termordering = kbo
% 5.28/5.66
% 5.28/5.66 litapriori = 0
% 5.28/5.66 termapriori = 1
% 5.28/5.66 litaposteriori = 0
% 5.28/5.66 termaposteriori = 0
% 5.28/5.66 demodaposteriori = 0
% 5.28/5.66 ordereqreflfact = 0
% 5.28/5.66
% 5.28/5.66 litselect = negord
% 5.28/5.66
% 5.28/5.66 maxweight = 15
% 5.28/5.66 maxdepth = 30000
% 5.28/5.66 maxlength = 115
% 5.28/5.66 maxnrvars = 195
% 5.28/5.66 excuselevel = 1
% 5.28/5.66 increasemaxweight = 1
% 5.28/5.66
% 5.28/5.66 maxselected = 10000000
% 5.28/5.66 maxnrclauses = 10000000
% 5.28/5.66
% 5.28/5.66 showgenerated = 0
% 5.28/5.66 showkept = 0
% 5.28/5.66 showselected = 0
% 5.28/5.66 showdeleted = 0
% 5.28/5.66 showresimp = 1
% 5.28/5.66 showstatus = 2000
% 5.28/5.66
% 5.28/5.66 prologoutput = 0
% 5.28/5.66 nrgoals = 5000000
% 5.28/5.66 totalproof = 1
% 5.28/5.66
% 5.28/5.66 Symbols occurring in the translation:
% 5.28/5.66
% 5.28/5.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.28/5.66 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 5.28/5.66 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 5.28/5.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.28/5.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.28/5.66 coll [38, 3] (w:1, o:65, a:1, s:1, b:0),
% 5.28/5.66 para [40, 4] (w:1, o:73, a:1, s:1, b:0),
% 5.28/5.66 perp [43, 4] (w:1, o:74, a:1, s:1, b:0),
% 5.28/5.66 midp [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 5.28/5.66 cong [47, 4] (w:1, o:75, a:1, s:1, b:0),
% 5.28/5.66 circle [48, 4] (w:1, o:76, a:1, s:1, b:0),
% 5.28/5.66 cyclic [49, 4] (w:1, o:77, a:1, s:1, b:0),
% 5.28/5.66 eqangle [54, 8] (w:1, o:92, a:1, s:1, b:0),
% 5.28/5.66 eqratio [57, 8] (w:1, o:93, a:1, s:1, b:0),
% 5.28/5.66 simtri [59, 6] (w:1, o:89, a:1, s:1, b:0),
% 5.28/5.66 contri [60, 6] (w:1, o:90, a:1, s:1, b:0),
% 5.28/5.66 alpha1 [65, 3] (w:1, o:67, a:1, s:1, b:1),
% 5.28/5.66 alpha2 [66, 4] (w:1, o:78, a:1, s:1, b:1),
% 5.28/5.66 skol1 [67, 4] (w:1, o:79, a:1, s:1, b:1),
% 5.28/5.66 skol2 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 5.28/5.66 skol3 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 5.28/5.66 skol4 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 5.28/5.66 skol5 [71, 4] (w:1, o:85, a:1, s:1, b:1),
% 5.28/5.66 skol6 [72, 6] (w:1, o:91, a:1, s:1, b:1),
% 5.28/5.66 skol7 [73, 2] (w:1, o:61, a:1, s:1, b:1),
% 5.28/5.66 skol8 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 5.28/5.66 skol9 [75, 4] (w:1, o:87, a:1, s:1, b:1),
% 9.22/9.61 skol10 [76, 3] (w:1, o:68, a:1, s:1, b:1),
% 9.22/9.61 skol11 [77, 3] (w:1, o:69, a:1, s:1, b:1),
% 9.22/9.61 skol12 [78, 2] (w:1, o:62, a:1, s:1, b:1),
% 9.22/9.61 skol13 [79, 5] (w:1, o:88, a:1, s:1, b:1),
% 9.22/9.61 skol14 [80, 3] (w:1, o:70, a:1, s:1, b:1),
% 9.22/9.61 skol15 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 9.22/9.61 skol16 [82, 3] (w:1, o:72, a:1, s:1, b:1),
% 9.22/9.61 skol17 [83, 2] (w:1, o:63, a:1, s:1, b:1),
% 9.22/9.61 skol18 [84, 2] (w:1, o:64, a:1, s:1, b:1),
% 9.22/9.61 skol19 [85, 4] (w:1, o:80, a:1, s:1, b:1),
% 9.22/9.61 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 9.22/9.61 skol21 [87, 4] (w:1, o:82, a:1, s:1, b:1),
% 9.22/9.61 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 9.22/9.61 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 9.22/9.61 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 9.22/9.61 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 9.22/9.61 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 9.22/9.61 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1).
% 9.22/9.61
% 9.22/9.61
% 9.22/9.61 Starting Search:
% 9.22/9.61
% 9.22/9.61 *** allocated 15000 integers for clauses
% 9.22/9.61 *** allocated 22500 integers for clauses
% 9.22/9.61 *** allocated 33750 integers for clauses
% 9.22/9.61 *** allocated 22500 integers for termspace/termends
% 9.22/9.61 *** allocated 50625 integers for clauses
% 9.22/9.61 *** allocated 75937 integers for clauses
% 9.22/9.61 Resimplifying inuse:
% 9.22/9.61 Done
% 9.22/9.61
% 9.22/9.61 *** allocated 33750 integers for termspace/termends
% 9.22/9.61 *** allocated 113905 integers for clauses
% 9.22/9.61 *** allocated 50625 integers for termspace/termends
% 9.22/9.61
% 9.22/9.61 Intermediate Status:
% 9.22/9.61 Generated: 20657
% 9.22/9.61 Kept: 2085
% 9.22/9.61 Inuse: 336
% 9.22/9.61 Deleted: 1
% 9.22/9.61 Deletedinuse: 1
% 9.22/9.61
% 9.22/9.61 Resimplifying inuse:
% 9.22/9.61 Done
% 9.22/9.61
% 9.22/9.61 *** allocated 170857 integers for clauses
% 9.22/9.61 *** allocated 75937 integers for termspace/termends
% 9.22/9.61 Resimplifying inuse:
% 9.22/9.61 Done
% 9.22/9.61
% 9.22/9.61 *** allocated 256285 integers for clauses
% 9.22/9.61 *** allocated 113905 integers for termspace/termends
% 9.22/9.61
% 9.22/9.61 Intermediate Status:
% 9.22/9.61 Generated: 39577
% 9.22/9.61 Kept: 4097
% 9.22/9.61 Inuse: 471
% 9.22/9.61 Deleted: 1
% 9.22/9.61 Deletedinuse: 1
% 9.22/9.61
% 9.22/9.61 Resimplifying inuse:
% 9.22/9.61 Done
% 9.22/9.61
% 9.22/9.61 Resimplifying inuse:
% 9.22/9.61 Done
% 9.22/9.61
% 9.22/9.61 *** allocated 384427 integers for clauses
% 9.22/9.61 *** allocated 170857 integers for termspace/termends
% 9.22/9.61
% 9.22/9.61 Intermediate Status:
% 9.22/9.61 Generated: 53285
% 9.22/9.61 Kept: 6211
% 9.22/9.61 Inuse: 546
% 9.22/9.62 Deleted: 1
% 9.22/9.62 Deletedinuse: 1
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 *** allocated 576640 integers for clauses
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 71013
% 9.22/9.62 Kept: 8212
% 9.22/9.62 Inuse: 720
% 9.22/9.62 Deleted: 2
% 9.22/9.62 Deletedinuse: 1
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 *** allocated 256285 integers for termspace/termends
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 93047
% 9.22/9.62 Kept: 10356
% 9.22/9.62 Inuse: 819
% 9.22/9.62 Deleted: 7
% 9.22/9.62 Deletedinuse: 5
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 *** allocated 864960 integers for clauses
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 103405
% 9.22/9.62 Kept: 12551
% 9.22/9.62 Inuse: 869
% 9.22/9.62 Deleted: 7
% 9.22/9.62 Deletedinuse: 5
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 110375
% 9.22/9.62 Kept: 14555
% 9.22/9.62 Inuse: 905
% 9.22/9.62 Deleted: 11
% 9.22/9.62 Deletedinuse: 7
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 *** allocated 384427 integers for termspace/termends
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 126213
% 9.22/9.62 Kept: 16560
% 9.22/9.62 Inuse: 1036
% 9.22/9.62 Deleted: 26
% 9.22/9.62 Deletedinuse: 9
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 141289
% 9.22/9.62 Kept: 18563
% 9.22/9.62 Inuse: 1161
% 9.22/9.62 Deleted: 49
% 9.22/9.62 Deletedinuse: 23
% 9.22/9.62
% 9.22/9.62 *** allocated 1297440 integers for clauses
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying clauses:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 154975
% 9.22/9.62 Kept: 20580
% 9.22/9.62 Inuse: 1274
% 9.22/9.62 Deleted: 1778
% 9.22/9.62 Deletedinuse: 35
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 170154
% 9.22/9.62 Kept: 22617
% 9.22/9.62 Inuse: 1490
% 9.22/9.62 Deleted: 3388
% 9.22/9.62 Deletedinuse: 1035
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 181426
% 9.22/9.62 Kept: 24626
% 9.22/9.62 Inuse: 1676
% 9.22/9.62 Deleted: 3398
% 9.22/9.62 Deletedinuse: 1035
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 *** allocated 576640 integers for termspace/termends
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 209659
% 9.22/9.62 Kept: 26707
% 9.22/9.62 Inuse: 1826
% 9.22/9.62 Deleted: 4122
% 9.22/9.62 Deletedinuse: 1041
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 *** allocated 1946160 integers for clauses
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 220381
% 9.22/9.62 Kept: 28717
% 9.22/9.62 Inuse: 1958
% 9.22/9.62 Deleted: 4365
% 9.22/9.62 Deletedinuse: 1049
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 230962
% 9.22/9.62 Kept: 30718
% 9.22/9.62 Inuse: 2113
% 9.22/9.62 Deleted: 4426
% 9.22/9.62 Deletedinuse: 1058
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 243834
% 9.22/9.62 Kept: 32735
% 9.22/9.62 Inuse: 2304
% 9.22/9.62 Deleted: 4491
% 9.22/9.62 Deletedinuse: 1058
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 257758
% 9.22/9.62 Kept: 34748
% 9.22/9.62 Inuse: 2476
% 9.22/9.62 Deleted: 4503
% 9.22/9.62 Deletedinuse: 1058
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 280879
% 9.22/9.62 Kept: 36889
% 9.22/9.62 Inuse: 2704
% 9.22/9.62 Deleted: 4694
% 9.22/9.62 Deletedinuse: 1166
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 306594
% 9.22/9.62 Kept: 38889
% 9.22/9.62 Inuse: 3020
% 9.22/9.62 Deleted: 4791
% 9.22/9.62 Deletedinuse: 1166
% 9.22/9.62
% 9.22/9.62 *** allocated 864960 integers for termspace/termends
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 *** allocated 2919240 integers for clauses
% 9.22/9.62 Resimplifying clauses:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62 Resimplifying inuse:
% 9.22/9.62 Done
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Intermediate Status:
% 9.22/9.62 Generated: 325176
% 9.22/9.62 Kept: 40945
% 9.22/9.62 Inuse: 3333
% 9.22/9.62 Deleted: 21425
% 9.22/9.62 Deletedinuse: 1332
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Bliksems!, er is een bewijs:
% 9.22/9.62 % SZS status Theorem
% 9.22/9.62 % SZS output start Refutation
% 9.22/9.62
% 9.22/9.62 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 9.22/9.62 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 9.22/9.62 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 9.22/9.62 , Z, X ) }.
% 9.22/9.62 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 9.22/9.62 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 9.22/9.62 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 9.22/9.62 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 9.22/9.62 para( X, Y, Z, T ) }.
% 9.22/9.62 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 9.22/9.62 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 9.22/9.62 }.
% 9.22/9.62 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 9.22/9.62 }.
% 9.22/9.62 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 9.22/9.62 }.
% 9.22/9.62 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 9.22/9.62 ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 9.22/9.62 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 9.22/9.62 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 9.22/9.62 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 9.22/9.62 V1 ) }.
% 9.22/9.62 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 9.22/9.62 , Y, Z, T ) }.
% 9.22/9.62 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 9.22/9.62 , T, U, W ) }.
% 9.22/9.62 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 9.22/9.62 T, X, T, Y ) }.
% 9.22/9.62 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 9.22/9.62 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 9.22/9.62 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 9.22/9.62 , Y, Z, T ) }.
% 9.22/9.62 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 9.22/9.62 perp( X, Y, Z, T ) }.
% 9.22/9.62 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 9.22/9.62 , Z, Y, T ) }.
% 9.22/9.62 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 9.22/9.62 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 9.22/9.62 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 9.22/9.62 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol22, skol20 ) }.
% 9.22/9.62 (120) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23, skol24,
% 9.22/9.62 skol24, skol23, skol23, skol22 ) }.
% 9.22/9.62 (136) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 9.22/9.62 (143) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 9.22/9.62 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 9.22/9.62 (158) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol26, skol22, skol20 ) }.
% 9.22/9.62 (159) {G1,W8,D2,L2,V3,M2} R(0,69) { coll( X, Y, Z ), ! midp( X, Z, Y ) }.
% 9.22/9.62 (161) {G2,W4,D2,L1,V0,M1} R(158,0) { coll( skol26, skol20, skol22 ) }.
% 9.22/9.62 (163) {G3,W4,D2,L1,V0,M1} R(1,161) { coll( skol20, skol26, skol22 ) }.
% 9.22/9.62 (164) {G2,W4,D2,L1,V0,M1} R(1,158) { coll( skol22, skol26, skol20 ) }.
% 9.22/9.62 (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 9.22/9.62 coll( Z, X, T ) }.
% 9.22/9.62 (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 9.22/9.62 (217) {G3,W12,D2,L3,V4,M3} R(199,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 9.22/9.62 coll( X, Z, T ) }.
% 9.22/9.62 (219) {G3,W4,D2,L1,V0,M1} R(199,164) { coll( skol20, skol22, skol20 ) }.
% 9.22/9.62 (222) {G4,W4,D2,L1,V0,M1} R(199,163) { coll( skol22, skol20, skol22 ) }.
% 9.22/9.62 (232) {G4,W8,D2,L2,V3,M2} F(217) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 9.22/9.62 (239) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 9.22/9.62 ) }.
% 9.22/9.62 (275) {G4,W4,D2,L1,V0,M1} R(219,0) { coll( skol20, skol20, skol22 ) }.
% 9.22/9.62 (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 9.22/9.62 ), ! perp( X, Y, U, W ) }.
% 9.22/9.62 (313) {G5,W4,D2,L1,V0,M1} R(222,0) { coll( skol22, skol22, skol20 ) }.
% 9.22/9.62 (314) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol26, skol20, skol22 ) }.
% 9.22/9.62 (348) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 9.22/9.62 , T, Y ) }.
% 9.22/9.62 (350) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 9.22/9.62 , X, T ) }.
% 9.22/9.62 (351) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 9.22/9.62 , X, T ) }.
% 9.22/9.62 (359) {G5,W8,D2,L2,V3,M2} R(232,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 9.22/9.62 (366) {G6,W8,D2,L2,V3,M2} R(359,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 9.22/9.62 (372) {G7,W8,D2,L2,V3,M2} R(366,159) { coll( X, Y, Y ), ! midp( Z, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 (383) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 9.22/9.62 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 9.22/9.62 (391) {G8,W8,D2,L2,V3,M2} R(372,232) { ! midp( X, Y, Z ), coll( Y, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 (394) {G9,W8,D2,L2,V3,M2} R(391,0) { ! midp( X, Y, Z ), coll( Y, Y, Z ) }.
% 9.22/9.62 (747) {G1,W14,D2,L2,V6,M2} R(38,19) { para( X, Y, Z, T ), ! eqangle( Z, T,
% 9.22/9.62 U, W, X, Y, U, W ) }.
% 9.22/9.62 (766) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), ! eqangle( U,
% 9.22/9.62 W, V0, V1, X, Y, V2, V3 ), eqangle( U, W, V0, V1, Z, T, V2, V3 ) }.
% 9.22/9.62 (769) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 9.22/9.62 X, Y, U, W, Z, T ) }.
% 9.22/9.62 (773) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 9.22/9.62 para( X, Y, W, U ) }.
% 9.22/9.62 (783) {G1,W23,D2,L3,V8,M3} R(40,21) { ! cyclic( X, Y, Z, T ), ! eqangle( U
% 9.22/9.62 , W, V0, V1, Z, X, Z, Y ), eqangle( U, W, V0, V1, T, X, T, Y ) }.
% 9.22/9.62 (816) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 9.22/9.62 ), ! para( X, Z, X, Z ) }.
% 9.22/9.62 (917) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 9.22/9.62 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 9.22/9.62 (949) {G2,W15,D2,L3,V3,M3} F(917) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 9.22/9.62 , Z, Y ), cong( X, Y, X, Y ) }.
% 9.22/9.62 (6995) {G1,W9,D2,L1,V0,M1} R(120,18) { ! eqangle( skol23, skol24, skol20,
% 9.22/9.62 skol23, skol23, skol22, skol24, skol23 ) }.
% 9.22/9.62 (7875) {G5,W10,D3,L2,V1,M2} R(143,314);r(275) { ! coll( skol22, skol20,
% 9.22/9.62 skol22 ), midp( skol7( skol20, X ), skol20, X ) }.
% 9.22/9.62 (7884) {G6,W10,D3,L2,V1,M2} R(143,117);r(313) { ! coll( skol20, skol22,
% 9.22/9.62 skol20 ), midp( skol7( skol22, X ), skol22, X ) }.
% 9.22/9.62 (20033) {G6,W6,D3,L1,V1,M1} S(7875);r(222) { midp( skol7( skol20, X ),
% 9.22/9.62 skol20, X ) }.
% 9.22/9.62 (20034) {G7,W6,D3,L1,V1,M1} S(7884);r(219) { midp( skol7( skol22, X ),
% 9.22/9.62 skol22, X ) }.
% 9.22/9.62 (20105) {G10,W4,D2,L1,V1,M1} R(20033,394) { coll( skol20, skol20, X ) }.
% 9.22/9.62 (20207) {G11,W4,D2,L1,V2,M1} R(20105,194);r(20105) { coll( Y, skol20, X )
% 9.22/9.62 }.
% 9.22/9.62 (20246) {G12,W4,D2,L1,V3,M1} R(20207,194);r(20207) { coll( Z, X, Y ) }.
% 9.22/9.62 (20344) {G8,W5,D2,L1,V1,M1} R(20034,136) { para( skol22, skol22, X, X ) }.
% 9.22/9.62 (20379) {G9,W5,D2,L1,V1,M1} R(20344,239) { para( X, X, skol22, skol22 ) }.
% 9.22/9.62 (24653) {G10,W9,D2,L1,V3,M1} R(769,20379) { eqangle( X, Y, Z, Z, X, Y,
% 9.22/9.62 skol22, skol22 ) }.
% 9.22/9.62 (25654) {G13,W10,D2,L2,V3,M2} S(816);r(20246) { cyclic( Z, Y, X, X ), !
% 9.22/9.62 para( X, Z, X, Z ) }.
% 9.22/9.62 (35314) {G11,W5,D2,L1,V2,M1} R(24653,747) { para( X, Y, X, Y ) }.
% 9.22/9.62 (40052) {G14,W5,D2,L1,V3,M1} S(25654);r(35314) { cyclic( Z, Y, X, X ) }.
% 9.22/9.62 (40191) {G15,W5,D2,L1,V3,M1} R(40052,351) { cyclic( X, Y, Z, Y ) }.
% 9.22/9.62 (40192) {G15,W5,D2,L1,V3,M1} R(40052,350) { cyclic( X, Y, Z, X ) }.
% 9.22/9.62 (40193) {G15,W5,D2,L1,V3,M1} R(40052,348) { cyclic( X, Y, Y, Z ) }.
% 9.22/9.62 (40196) {G16,W5,D2,L1,V2,M1} S(949);r(40192);r(40191) { cong( X, Y, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 (40206) {G16,W5,D2,L1,V3,M1} R(40191,383);r(40193) { cyclic( Y, Y, Z, T )
% 9.22/9.62 }.
% 9.22/9.62 (40217) {G17,W5,D2,L1,V4,M1} R(40206,383);r(40206) { cyclic( X, Y, Z, T )
% 9.22/9.62 }.
% 9.22/9.62 (40245) {G17,W5,D2,L1,V3,M1} R(40196,56);r(40196) { perp( X, X, Z, Y ) }.
% 9.22/9.62 (40281) {G18,W5,D2,L1,V4,M1} R(40245,279);r(40245) { para( X, Y, Z, T ) }.
% 9.22/9.62 (40294) {G19,W9,D2,L1,V6,M1} R(40281,773) { eqangle( X, Y, Z, T, U, W, Z, T
% 9.22/9.62 ) }.
% 9.22/9.62 (40997) {G20,W9,D2,L1,V6,M1} R(40294,783);r(40217) { eqangle( U, W, Z, Y, T
% 9.22/9.62 , X, T, Y ) }.
% 9.22/9.62 (41001) {G21,W9,D2,L1,V7,M1} R(40997,766);r(40281) { eqangle( U, W, V0, V1
% 9.22/9.62 , Z, T, X, V1 ) }.
% 9.22/9.62 (41008) {G22,W0,D0,L0,V0,M0} R(41001,6995) { }.
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 % SZS output end Refutation
% 9.22/9.62 found a proof!
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Unprocessed initial clauses:
% 9.22/9.62
% 9.22/9.62 (41010) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 9.22/9.62 (41011) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 9.22/9.62 (41012) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 9.22/9.62 ( Y, Z, X ) }.
% 9.22/9.62 (41013) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 9.22/9.62 }.
% 9.22/9.62 (41014) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 (41015) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 9.22/9.62 , para( X, Y, Z, T ) }.
% 9.22/9.62 (41016) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 9.22/9.62 }.
% 9.22/9.62 (41017) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 (41018) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 9.22/9.62 , para( X, Y, Z, T ) }.
% 9.22/9.62 (41019) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 9.22/9.62 , perp( X, Y, Z, T ) }.
% 9.22/9.62 (41020) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 9.22/9.62 (41021) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 9.22/9.62 , circle( T, X, Y, Z ) }.
% 9.22/9.62 (41022) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 9.22/9.62 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 (41023) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 9.22/9.62 ) }.
% 9.22/9.62 (41024) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 9.22/9.62 ) }.
% 9.22/9.62 (41025) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 9.22/9.62 ) }.
% 9.22/9.62 (41026) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 9.22/9.62 T ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 (41027) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 9.22/9.62 (41028) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 9.22/9.62 (41029) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 9.22/9.62 (41030) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 9.22/9.62 (41031) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 9.22/9.62 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 9.22/9.62 V1 ) }.
% 9.22/9.62 (41032) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 9.22/9.62 }.
% 9.22/9.62 (41033) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 (41034) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 9.22/9.62 , cong( X, Y, Z, T ) }.
% 9.22/9.62 (41035) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 9.22/9.62 (41036) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 9.22/9.62 (41037) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 9.22/9.62 (41038) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 9.22/9.62 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 9.22/9.62 (41039) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 9.22/9.62 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 9.22/9.62 V1 ) }.
% 9.22/9.62 (41040) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 9.22/9.62 , Z, T, U, W ) }.
% 9.22/9.62 (41041) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 9.22/9.62 , Z, T, U, W ) }.
% 9.22/9.62 (41042) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 9.22/9.62 , Z, T, U, W ) }.
% 9.22/9.62 (41043) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 9.22/9.62 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 9.22/9.62 (41044) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 9.22/9.62 , Z, T, U, W ) }.
% 9.22/9.62 (41045) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 9.22/9.62 , Z, T, U, W ) }.
% 9.22/9.62 (41046) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 9.22/9.62 , Z, T, U, W ) }.
% 9.22/9.62 (41047) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 9.22/9.62 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 9.22/9.62 (41048) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 9.22/9.62 X, Y, Z, T ) }.
% 9.22/9.62 (41049) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 9.22/9.62 Z, T, U, W ) }.
% 9.22/9.62 (41050) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 9.22/9.62 , T, X, T, Y ) }.
% 9.22/9.62 (41051) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 9.22/9.62 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 (41052) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 9.22/9.62 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 (41053) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 9.22/9.62 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 9.22/9.62 , Y, Z, T ) }.
% 9.22/9.62 (41054) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 9.22/9.62 ( Z, T, X, Y ) }.
% 9.22/9.62 (41055) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 9.22/9.62 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 9.22/9.62 (41056) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 9.22/9.62 X, Y, Z, Y ) }.
% 9.22/9.62 (41057) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 9.22/9.62 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 9.22/9.62 (41058) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 9.22/9.62 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 9.22/9.62 (41059) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 9.22/9.62 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 9.22/9.62 (41060) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 9.22/9.62 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 9.22/9.62 (41061) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 9.22/9.62 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 9.22/9.62 (41062) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 9.22/9.62 cong( X, Z, Y, Z ) }.
% 9.22/9.62 (41063) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 9.22/9.62 perp( X, Y, Y, Z ) }.
% 9.22/9.62 (41064) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 9.22/9.62 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 9.22/9.62 (41065) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 9.22/9.62 cong( Z, X, Z, Y ) }.
% 9.22/9.62 (41066) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 9.22/9.62 , perp( X, Y, Z, T ) }.
% 9.22/9.62 (41067) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 9.22/9.62 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 9.22/9.62 (41068) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 9.22/9.62 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 9.22/9.62 , W ) }.
% 9.22/9.62 (41069) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 9.22/9.62 , X, Z, T, U, T, W ) }.
% 9.22/9.62 (41070) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 9.22/9.62 , Y, Z, T, U, U, W ) }.
% 9.22/9.62 (41071) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 9.22/9.62 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 9.22/9.62 (41072) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 9.22/9.62 , T ) }.
% 9.22/9.62 (41073) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 9.22/9.62 ( X, Z, Y, T ) }.
% 9.22/9.62 (41074) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 9.22/9.62 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 9.22/9.62 (41075) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 9.22/9.62 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 9.22/9.62 (41076) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 9.22/9.62 (41077) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 9.22/9.62 midp( X, Y, Z ) }.
% 9.22/9.62 (41078) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 9.22/9.62 (41079) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 9.22/9.62 (41080) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 9.22/9.62 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 9.22/9.62 (41081) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 9.22/9.62 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 9.22/9.62 (41082) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 9.22/9.62 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 9.22/9.62 (41083) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 9.22/9.62 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 9.22/9.62 (41084) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 9.22/9.62 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 9.22/9.62 (41085) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 9.22/9.62 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 9.22/9.62 (41086) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 9.22/9.62 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 9.22/9.62 (41087) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 9.22/9.62 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 9.22/9.62 (41088) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 9.22/9.62 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 9.22/9.62 (41089) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 9.22/9.62 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 9.22/9.62 (41090) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 9.22/9.62 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 9.22/9.62 (41091) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 9.22/9.62 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 9.22/9.62 (41092) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 9.22/9.62 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 9.22/9.62 (41093) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 9.22/9.62 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 9.22/9.62 (41094) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 9.22/9.62 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 9.22/9.62 (41095) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 9.22/9.62 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 9.22/9.62 , T ) ) }.
% 9.22/9.62 (41096) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 9.22/9.62 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 9.22/9.62 (41097) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 9.22/9.62 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 9.22/9.62 (41098) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 9.22/9.62 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 9.22/9.62 (41099) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 9.22/9.62 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 9.22/9.62 (41100) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 9.22/9.62 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 9.22/9.62 ) }.
% 9.22/9.62 (41101) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 9.22/9.62 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 9.22/9.62 }.
% 9.22/9.62 (41102) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 9.22/9.62 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 9.22/9.62 (41103) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 9.22/9.62 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 9.22/9.62 (41104) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 9.22/9.62 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 9.22/9.62 (41105) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 9.22/9.62 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 9.22/9.62 (41106) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 9.22/9.62 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 9.22/9.62 (41107) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 9.22/9.62 , alpha1( X, Y, Z ) }.
% 9.22/9.62 (41108) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 9.22/9.62 ), Z, X ) }.
% 9.22/9.62 (41109) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 9.22/9.62 , Z ), Z, X ) }.
% 9.22/9.62 (41110) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 9.22/9.62 alpha1( X, Y, Z ) }.
% 9.22/9.62 (41111) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 9.22/9.62 ), X, X, Y ) }.
% 9.22/9.62 (41112) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 9.22/9.62 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 9.22/9.62 ) ) }.
% 9.22/9.62 (41113) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 9.22/9.62 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 9.22/9.62 (41114) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 9.22/9.62 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 9.22/9.62 }.
% 9.22/9.62 (41115) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 9.22/9.62 (41116) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 9.22/9.62 }.
% 9.22/9.62 (41117) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 9.22/9.62 alpha2( X, Y, Z, T ) }.
% 9.22/9.62 (41118) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 9.22/9.62 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 9.22/9.62 (41119) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 9.22/9.62 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 9.22/9.62 (41120) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 9.22/9.62 coll( skol16( W, Y, Z ), Y, Z ) }.
% 9.22/9.62 (41121) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 9.22/9.62 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 9.22/9.62 (41122) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 9.22/9.62 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 9.22/9.62 (41123) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 9.22/9.62 , coll( X, Y, skol18( X, Y ) ) }.
% 9.22/9.62 (41124) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 9.22/9.62 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 9.22/9.62 (41125) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 9.22/9.62 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 9.22/9.62 }.
% 9.22/9.62 (41126) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 9.22/9.62 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 9.22/9.62 }.
% 9.22/9.62 (41127) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol22, skol23 ) }.
% 9.22/9.62 (41128) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol22, skol20 ) }.
% 9.22/9.62 (41129) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 9.22/9.62 (41130) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol24, skol27 ) }.
% 9.22/9.62 (41131) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23, skol24,
% 9.22/9.62 skol24, skol23, skol23, skol22 ) }.
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Total Proof:
% 9.22/9.62
% 9.22/9.62 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent0: (41010) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 9.22/9.62 }.
% 9.22/9.62 parent0: (41011) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 9.22/9.62 Z ), coll( Y, Z, X ) }.
% 9.22/9.62 parent0: (41012) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 9.22/9.62 ), coll( Y, Z, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 9.22/9.62 , T, Z ) }.
% 9.22/9.62 parent0: (41013) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 9.22/9.62 T, Z ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 9.22/9.62 , X, Y ) }.
% 9.22/9.62 parent0: (41014) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 9.22/9.62 X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 9.22/9.62 , X, Y ) }.
% 9.22/9.62 parent0: (41017) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 9.22/9.62 X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 9.22/9.62 W, Z, T ), para( X, Y, Z, T ) }.
% 9.22/9.62 parent0: (41018) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 9.22/9.62 , Z, T ), para( X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 9.22/9.62 ) }.
% 9.22/9.62 parent0: (41020) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 9.22/9.62 X, Y, T, Z ) }.
% 9.22/9.62 parent0: (41023) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 9.22/9.62 , Y, T, Z ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 9.22/9.62 X, Z, Y, T ) }.
% 9.22/9.62 parent0: (41024) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 9.22/9.62 , Z, Y, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 9.22/9.62 Y, X, Z, T ) }.
% 9.22/9.62 parent0: (41025) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 9.22/9.62 , X, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 9.22/9.62 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 parent0: (41026) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 9.22/9.62 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 9.22/9.62 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 9.22/9.62 parent0: (41028) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 9.22/9.62 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 V0 := V0
% 9.22/9.62 V1 := V1
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 9.22/9.62 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 9.22/9.62 parent0: (41029) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 9.22/9.62 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 V0 := V0
% 9.22/9.62 V1 := V1
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 9.22/9.62 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 9.22/9.62 , U, W, V0, V1 ) }.
% 9.22/9.62 parent0: (41031) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 9.22/9.62 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 9.22/9.62 , W, V0, V1 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 V0 := V0
% 9.22/9.62 V1 := V1
% 9.22/9.62 V2 := V2
% 9.22/9.62 V3 := V3
% 9.22/9.62 V4 := V4
% 9.22/9.62 V5 := V5
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 9.22/9.62 W ), para( X, Y, Z, T ) }.
% 9.22/9.62 parent0: (41048) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 9.22/9.62 ), para( X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 9.22/9.62 , Y, U, W, Z, T, U, W ) }.
% 9.22/9.62 parent0: (41049) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 9.22/9.62 Y, U, W, Z, T, U, W ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 9.22/9.62 ( Z, X, Z, Y, T, X, T, Y ) }.
% 9.22/9.62 parent0: (41050) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 9.22/9.62 , X, Z, Y, T, X, T, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 9.22/9.62 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 parent0: (41052) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 9.22/9.62 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 9.22/9.62 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 9.22/9.62 ), cong( X, Y, Z, T ) }.
% 9.22/9.62 parent0: (41053) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 9.22/9.62 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 9.22/9.62 , cong( X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 3 ==> 3
% 9.22/9.62 4 ==> 4
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 9.22/9.62 , T, Y, T ), perp( X, Y, Z, T ) }.
% 9.22/9.62 parent0: (41066) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 9.22/9.62 , Y, T ), perp( X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 9.22/9.62 , T ), para( X, Z, Y, T ) }.
% 9.22/9.62 parent0: (41073) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 9.22/9.62 ), para( X, Z, Y, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 9.22/9.62 ) }.
% 9.22/9.62 parent0: (41079) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 9.22/9.62 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 9.22/9.62 ) }.
% 9.22/9.62 parent0: (41099) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 9.22/9.62 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 V0 := V0
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 3 ==> 3
% 9.22/9.62 4 ==> 4
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol22, skol20 )
% 9.22/9.62 }.
% 9.22/9.62 parent0: (41128) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol22, skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (120) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23,
% 9.22/9.62 skol23, skol24, skol24, skol23, skol23, skol22 ) }.
% 9.22/9.62 parent0: (41131) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23,
% 9.22/9.62 skol24, skol24, skol23, skol23, skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 factor: (41482) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 9.22/9.62 Z, T ), para( X, Z, Y, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 T := Z
% 9.22/9.62 U := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (136) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 9.22/9.62 Y, Z, Z ) }.
% 9.22/9.62 parent0: (41482) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 9.22/9.62 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 factor: (41483) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 9.22/9.62 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 9.22/9.62 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 9.22/9.62 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 9.22/9.62 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 U := Z
% 9.22/9.62 W := X
% 9.22/9.62 V0 := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (143) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 9.22/9.62 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 9.22/9.62 parent0: (41483) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 9.22/9.62 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 3 ==> 3
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41486) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol20 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 9.22/9.62 }.
% 9.22/9.62 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol22, skol20 )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol26
% 9.22/9.62 Y := skol22
% 9.22/9.62 Z := skol20
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (158) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol26, skol22,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 parent0: (41486) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41487) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! midp( X, Y, Z
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (159) {G1,W8,D2,L2,V3,M2} R(0,69) { coll( X, Y, Z ), ! midp( X
% 9.22/9.62 , Z, Y ) }.
% 9.22/9.62 parent0: (41487) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! midp( X, Y, Z )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41488) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol22 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent1[0]: (158) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol26, skol22,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol26
% 9.22/9.62 Y := skol22
% 9.22/9.62 Z := skol20
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (161) {G2,W4,D2,L1,V0,M1} R(158,0) { coll( skol26, skol20,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 parent0: (41488) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41489) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol22 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 9.22/9.62 }.
% 9.22/9.62 parent1[0]: (161) {G2,W4,D2,L1,V0,M1} R(158,0) { coll( skol26, skol20,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol26
% 9.22/9.62 Y := skol20
% 9.22/9.62 Z := skol22
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (163) {G3,W4,D2,L1,V0,M1} R(1,161) { coll( skol20, skol26,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 parent0: (41489) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41490) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol20 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 9.22/9.62 }.
% 9.22/9.62 parent1[0]: (158) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol26, skol22,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol26
% 9.22/9.62 Y := skol22
% 9.22/9.62 Z := skol20
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (164) {G2,W4,D2,L1,V0,M1} R(1,158) { coll( skol22, skol26,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 parent0: (41490) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41494) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 9.22/9.62 X ), ! coll( Z, T, Y ) }.
% 9.22/9.62 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 9.22/9.62 ), coll( Y, Z, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Y
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 9.22/9.62 ( X, Y, T ), coll( Z, X, T ) }.
% 9.22/9.62 parent0: (41494) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 9.22/9.62 , ! coll( Z, T, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := T
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 2
% 9.22/9.62 1 ==> 0
% 9.22/9.62 2 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 factor: (41496) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0, 1]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 9.22/9.62 coll( X, Y, T ), coll( Z, X, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z
% 9.22/9.62 , X, Z ) }.
% 9.22/9.62 parent0: (41496) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41497) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 9.22/9.62 X ), ! coll( Z, T, Y ) }.
% 9.22/9.62 parent0[0]: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 9.22/9.62 X, Z ) }.
% 9.22/9.62 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 9.22/9.62 ), coll( Y, Z, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Y
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (217) {G3,W12,D2,L3,V4,M3} R(199,2) { coll( X, Y, X ), ! coll
% 9.22/9.62 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 9.22/9.62 parent0: (41497) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 9.22/9.62 , ! coll( Z, T, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 T := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41499) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0]: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 9.22/9.62 X, Z ) }.
% 9.22/9.62 parent1[0]: (164) {G2,W4,D2,L1,V0,M1} R(1,158) { coll( skol22, skol26,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol22
% 9.22/9.62 Y := skol26
% 9.22/9.62 Z := skol20
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (219) {G3,W4,D2,L1,V0,M1} R(199,164) { coll( skol20, skol22,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 parent0: (41499) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41500) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0]: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 9.22/9.62 X, Z ) }.
% 9.22/9.62 parent1[0]: (163) {G3,W4,D2,L1,V0,M1} R(1,161) { coll( skol20, skol26,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol20
% 9.22/9.62 Y := skol26
% 9.22/9.62 Z := skol22
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (222) {G4,W4,D2,L1,V0,M1} R(199,163) { coll( skol22, skol20,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 parent0: (41500) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 factor: (41501) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent0[1, 2]: (217) {G3,W12,D2,L3,V4,M3} R(199,2) { coll( X, Y, X ), !
% 9.22/9.62 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := Y
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (232) {G4,W8,D2,L2,V3,M2} F(217) { coll( X, Y, X ), ! coll( X
% 9.22/9.62 , Z, Y ) }.
% 9.22/9.62 parent0: (41501) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41503) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 9.22/9.62 T, X, Y ) }.
% 9.22/9.62 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 9.22/9.62 T, Z ) }.
% 9.22/9.62 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 9.22/9.62 X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := T
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (239) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 9.22/9.62 ( Z, T, Y, X ) }.
% 9.22/9.62 parent0: (41503) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 9.22/9.62 X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := T
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 1
% 9.22/9.62 1 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41504) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent1[0]: (219) {G3,W4,D2,L1,V0,M1} R(199,164) { coll( skol20, skol22,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol20
% 9.22/9.62 Y := skol22
% 9.22/9.62 Z := skol20
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (275) {G4,W4,D2,L1,V0,M1} R(219,0) { coll( skol20, skol20,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 parent0: (41504) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41505) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 9.22/9.62 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 9.22/9.62 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 9.22/9.62 , Z, T ), para( X, Y, Z, T ) }.
% 9.22/9.62 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 9.22/9.62 X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := U
% 9.22/9.62 T := W
% 9.22/9.62 U := Z
% 9.22/9.62 W := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := T
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 9.22/9.62 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 9.22/9.62 parent0: (41505) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 9.22/9.62 U, W ), ! perp( Z, T, X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := U
% 9.22/9.62 Y := W
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 U := Z
% 9.22/9.62 W := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41509) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent1[0]: (222) {G4,W4,D2,L1,V0,M1} R(199,163) { coll( skol22, skol20,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol22
% 9.22/9.62 Y := skol20
% 9.22/9.62 Z := skol22
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (313) {G5,W4,D2,L1,V0,M1} R(222,0) { coll( skol22, skol22,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 parent0: (41509) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41510) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol22 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol22, skol20 )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol20
% 9.22/9.62 Y := skol22
% 9.22/9.62 Z := skol26
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (314) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol26, skol20,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 parent0: (41510) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41512) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 9.22/9.62 ( X, Z, Y, T ) }.
% 9.22/9.62 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 9.22/9.62 , Y, T, Z ) }.
% 9.22/9.62 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 9.22/9.62 , Z, Y, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (348) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 9.22/9.62 cyclic( X, Z, T, Y ) }.
% 9.22/9.62 parent0: (41512) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 9.22/9.62 , Z, Y, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 1
% 9.22/9.62 1 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41513) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 9.22/9.62 ( X, Z, Y, T ) }.
% 9.22/9.62 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 9.22/9.62 , X, Z, T ) }.
% 9.22/9.62 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 9.22/9.62 , Z, Y, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (350) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 9.22/9.62 cyclic( Y, Z, X, T ) }.
% 9.22/9.62 parent0: (41513) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 9.22/9.62 , Z, Y, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41515) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 9.22/9.62 ( Y, X, Z, T ) }.
% 9.22/9.62 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 9.22/9.62 , Z, Y, T ) }.
% 9.22/9.62 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 9.22/9.62 , X, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (351) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 9.22/9.62 cyclic( Y, Z, X, T ) }.
% 9.22/9.62 parent0: (41515) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 9.22/9.62 , X, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 1
% 9.22/9.62 1 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41517) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 9.22/9.62 }.
% 9.22/9.62 parent1[0]: (232) {G4,W8,D2,L2,V3,M2} F(217) { coll( X, Y, X ), ! coll( X,
% 9.22/9.62 Z, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (359) {G5,W8,D2,L2,V3,M2} R(232,1) { ! coll( X, Y, Z ), coll(
% 9.22/9.62 Z, X, X ) }.
% 9.22/9.62 parent0: (41517) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 1
% 9.22/9.62 1 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41518) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[0]: (359) {G5,W8,D2,L2,V3,M2} R(232,1) { ! coll( X, Y, Z ), coll( Z
% 9.22/9.62 , X, X ) }.
% 9.22/9.62 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (366) {G6,W8,D2,L2,V3,M2} R(359,1) { coll( X, Y, Y ), ! coll(
% 9.22/9.62 Z, Y, X ) }.
% 9.22/9.62 parent0: (41518) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41519) {G2,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! midp( Z, X, Y
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[1]: (366) {G6,W8,D2,L2,V3,M2} R(359,1) { coll( X, Y, Y ), ! coll( Z
% 9.22/9.62 , Y, X ) }.
% 9.22/9.62 parent1[0]: (159) {G1,W8,D2,L2,V3,M2} R(0,69) { coll( X, Y, Z ), ! midp( X
% 9.22/9.62 , Z, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (372) {G7,W8,D2,L2,V3,M2} R(366,159) { coll( X, Y, Y ), ! midp
% 9.22/9.62 ( Z, X, Y ) }.
% 9.22/9.62 parent0: (41519) {G2,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! midp( Z, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41521) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 9.22/9.62 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 9.22/9.62 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 9.22/9.62 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 9.22/9.62 , Y, T, Z ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := T
% 9.22/9.62 T := U
% 9.22/9.62 U := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := U
% 9.22/9.62 T := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (383) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 9.22/9.62 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 9.22/9.62 parent0: (41521) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 9.22/9.62 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41523) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[1]: (232) {G4,W8,D2,L2,V3,M2} F(217) { coll( X, Y, X ), ! coll( X,
% 9.22/9.62 Z, Y ) }.
% 9.22/9.62 parent1[0]: (372) {G7,W8,D2,L2,V3,M2} R(366,159) { coll( X, Y, Y ), ! midp
% 9.22/9.62 ( Z, X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (391) {G8,W8,D2,L2,V3,M2} R(372,232) { ! midp( X, Y, Z ), coll
% 9.22/9.62 ( Y, Z, Y ) }.
% 9.22/9.62 parent0: (41523) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 1
% 9.22/9.62 1 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41524) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent1[1]: (391) {G8,W8,D2,L2,V3,M2} R(372,232) { ! midp( X, Y, Z ), coll
% 9.22/9.62 ( Y, Z, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (394) {G9,W8,D2,L2,V3,M2} R(391,0) { ! midp( X, Y, Z ), coll(
% 9.22/9.62 Y, Y, Z ) }.
% 9.22/9.62 parent0: (41524) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 1
% 9.22/9.62 1 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41525) {G1,W14,D2,L2,V6,M2} { para( X, Y, U, W ), ! eqangle(
% 9.22/9.62 U, W, Z, T, X, Y, Z, T ) }.
% 9.22/9.62 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 9.22/9.62 ), para( X, Y, Z, T ) }.
% 9.22/9.62 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 9.22/9.62 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := U
% 9.22/9.62 T := W
% 9.22/9.62 U := Z
% 9.22/9.62 W := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := U
% 9.22/9.62 Y := W
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := X
% 9.22/9.62 W := Y
% 9.22/9.62 V0 := Z
% 9.22/9.62 V1 := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (747) {G1,W14,D2,L2,V6,M2} R(38,19) { para( X, Y, Z, T ), !
% 9.22/9.62 eqangle( Z, T, U, W, X, Y, U, W ) }.
% 9.22/9.62 parent0: (41525) {G1,W14,D2,L2,V6,M2} { para( X, Y, U, W ), ! eqangle( U,
% 9.22/9.62 W, Z, T, X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := U
% 9.22/9.62 T := W
% 9.22/9.62 U := Z
% 9.22/9.62 W := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41527) {G1,W23,D2,L3,V10,M3} { ! eqangle( X, Y, Z, T, U, W,
% 9.22/9.62 V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V0, V1 ), ! para( U, W, V2, V3 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[1]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 9.22/9.62 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 9.22/9.62 , U, W, V0, V1 ) }.
% 9.22/9.62 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 9.22/9.62 , Y, U, W, Z, T, U, W ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := V2
% 9.22/9.62 W := V3
% 9.22/9.62 V0 := V0
% 9.22/9.62 V1 := V1
% 9.22/9.62 V2 := U
% 9.22/9.62 V3 := W
% 9.22/9.62 V4 := V0
% 9.22/9.62 V5 := V1
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := U
% 9.22/9.62 Y := W
% 9.22/9.62 Z := V2
% 9.22/9.62 T := V3
% 9.22/9.62 U := V0
% 9.22/9.62 W := V1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (766) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 9.22/9.62 eqangle( U, W, V0, V1, X, Y, V2, V3 ), eqangle( U, W, V0, V1, Z, T, V2,
% 9.22/9.62 V3 ) }.
% 9.22/9.62 parent0: (41527) {G1,W23,D2,L3,V10,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 9.22/9.62 V1 ), eqangle( X, Y, Z, T, V2, V3, V0, V1 ), ! para( U, W, V2, V3 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := U
% 9.22/9.62 Y := W
% 9.22/9.62 Z := V0
% 9.22/9.62 T := V1
% 9.22/9.62 U := X
% 9.22/9.62 W := Y
% 9.22/9.62 V0 := V2
% 9.22/9.62 V1 := V3
% 9.22/9.62 V2 := Z
% 9.22/9.62 V3 := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 1
% 9.22/9.62 1 ==> 2
% 9.22/9.62 2 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41528) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 9.22/9.62 ), ! para( X, Y, U, W ) }.
% 9.22/9.62 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 9.22/9.62 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 9.22/9.62 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 9.22/9.62 , Y, U, W, Z, T, U, W ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 V0 := Z
% 9.22/9.62 V1 := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := U
% 9.22/9.62 T := W
% 9.22/9.62 U := Z
% 9.22/9.62 W := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (769) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 9.22/9.62 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 9.22/9.62 parent0: (41528) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 9.22/9.62 , ! para( X, Y, U, W ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := U
% 9.22/9.62 T := W
% 9.22/9.62 U := Z
% 9.22/9.62 W := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 1
% 9.22/9.62 1 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41529) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 9.22/9.62 ), ! para( X, Y, T, Z ) }.
% 9.22/9.62 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 9.22/9.62 , Y, U, W, Z, T, U, W ) }.
% 9.22/9.62 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 9.22/9.62 T, Z ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := T
% 9.22/9.62 T := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (773) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 9.22/9.62 , Z, T ), ! para( X, Y, W, U ) }.
% 9.22/9.62 parent0: (41529) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 9.22/9.62 , ! para( X, Y, T, Z ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := U
% 9.22/9.62 T := W
% 9.22/9.62 U := Z
% 9.22/9.62 W := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41531) {G1,W23,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, U
% 9.22/9.62 , V0 ), eqangle( X, Y, Z, T, V1, W, V1, V0 ), ! cyclic( W, V0, U, V1 )
% 9.22/9.62 }.
% 9.22/9.62 parent0[1]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 9.22/9.62 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 9.22/9.62 , U, W, V0, V1 ) }.
% 9.22/9.62 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 9.22/9.62 Z, X, Z, Y, T, X, T, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := V1
% 9.22/9.62 W := W
% 9.22/9.62 V0 := V1
% 9.22/9.62 V1 := V0
% 9.22/9.62 V2 := U
% 9.22/9.62 V3 := W
% 9.22/9.62 V4 := U
% 9.22/9.62 V5 := V0
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := W
% 9.22/9.62 Y := V0
% 9.22/9.62 Z := U
% 9.22/9.62 T := V1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (783) {G1,W23,D2,L3,V8,M3} R(40,21) { ! cyclic( X, Y, Z, T ),
% 9.22/9.62 ! eqangle( U, W, V0, V1, Z, X, Z, Y ), eqangle( U, W, V0, V1, T, X, T, Y
% 9.22/9.62 ) }.
% 9.22/9.62 parent0: (41531) {G1,W23,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, U, V0
% 9.22/9.62 ), eqangle( X, Y, Z, T, V1, W, V1, V0 ), ! cyclic( W, V0, U, V1 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := U
% 9.22/9.62 Y := W
% 9.22/9.62 Z := V0
% 9.22/9.62 T := V1
% 9.22/9.62 U := Z
% 9.22/9.62 W := X
% 9.22/9.62 V0 := Y
% 9.22/9.62 V1 := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 1
% 9.22/9.62 1 ==> 2
% 9.22/9.62 2 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41532) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 9.22/9.62 , X, X ), ! para( X, Y, X, Y ) }.
% 9.22/9.62 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 9.22/9.62 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 9.22/9.62 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 9.22/9.62 , Y, U, W, Z, T, U, W ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := X
% 9.22/9.62 T := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 U := X
% 9.22/9.62 W := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (816) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 9.22/9.62 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 9.22/9.62 parent0: (41532) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 9.22/9.62 , X ), ! para( X, Y, X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41533) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 9.22/9.62 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 9.22/9.62 cyclic( X, Y, Z, T ) }.
% 9.22/9.62 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 9.22/9.62 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 9.22/9.62 ), cong( X, Y, Z, T ) }.
% 9.22/9.62 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 9.22/9.62 Z, X, Z, Y, T, X, T, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 U := Z
% 9.22/9.62 W := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 factor: (41535) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 9.22/9.62 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 9.22/9.62 parent0[0, 2]: (41533) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 9.22/9.62 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 9.22/9.62 cyclic( X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (917) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 9.22/9.62 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 9.22/9.62 parent0: (41535) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 9.22/9.62 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 3
% 9.22/9.62 3 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 factor: (41540) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 9.22/9.62 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 9.22/9.62 parent0[0, 2]: (917) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 9.22/9.62 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (949) {G2,W15,D2,L3,V3,M3} F(917) { ! cyclic( X, Y, Z, X ), !
% 9.22/9.62 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 9.22/9.62 parent0: (41540) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 9.22/9.62 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 2 ==> 2
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41542) {G1,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol24,
% 9.22/9.62 skol20, skol23, skol23, skol22, skol24, skol23 ) }.
% 9.22/9.62 parent0[0]: (120) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23
% 9.22/9.62 , skol24, skol24, skol23, skol23, skol22 ) }.
% 9.22/9.62 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 9.22/9.62 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := skol23
% 9.22/9.62 Y := skol24
% 9.22/9.62 Z := skol20
% 9.22/9.62 T := skol23
% 9.22/9.62 U := skol23
% 9.22/9.62 W := skol22
% 9.22/9.62 V0 := skol24
% 9.22/9.62 V1 := skol23
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (6995) {G1,W9,D2,L1,V0,M1} R(120,18) { ! eqangle( skol23,
% 9.22/9.62 skol24, skol20, skol23, skol23, skol22, skol24, skol23 ) }.
% 9.22/9.62 parent0: (41542) {G1,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol24, skol20,
% 9.22/9.62 skol23, skol23, skol22, skol24, skol23 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41543) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol22
% 9.22/9.62 ), ! coll( skol22, skol20, skol22 ), midp( skol7( skol20, X ), skol20, X
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[0]: (143) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 9.22/9.62 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 9.22/9.62 parent1[0]: (314) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol26, skol20,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol26
% 9.22/9.62 Y := skol20
% 9.22/9.62 Z := skol22
% 9.22/9.62 T := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41544) {G3,W10,D3,L2,V1,M2} { ! coll( skol22, skol20, skol22
% 9.22/9.62 ), midp( skol7( skol20, X ), skol20, X ) }.
% 9.22/9.62 parent0[0]: (41543) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol22
% 9.22/9.62 ), ! coll( skol22, skol20, skol22 ), midp( skol7( skol20, X ), skol20, X
% 9.22/9.62 ) }.
% 9.22/9.62 parent1[0]: (275) {G4,W4,D2,L1,V0,M1} R(219,0) { coll( skol20, skol20,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (7875) {G5,W10,D3,L2,V1,M2} R(143,314);r(275) { ! coll( skol22
% 9.22/9.62 , skol20, skol22 ), midp( skol7( skol20, X ), skol20, X ) }.
% 9.22/9.62 parent0: (41544) {G3,W10,D3,L2,V1,M2} { ! coll( skol22, skol20, skol22 ),
% 9.22/9.62 midp( skol7( skol20, X ), skol20, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41545) {G1,W14,D3,L3,V1,M3} { ! coll( skol22, skol22, skol20
% 9.22/9.62 ), ! coll( skol20, skol22, skol20 ), midp( skol7( skol22, X ), skol22, X
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[0]: (143) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 9.22/9.62 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 9.22/9.62 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol22, skol20 )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol26
% 9.22/9.62 Y := skol22
% 9.22/9.62 Z := skol20
% 9.22/9.62 T := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41546) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol22, skol20
% 9.22/9.62 ), midp( skol7( skol22, X ), skol22, X ) }.
% 9.22/9.62 parent0[0]: (41545) {G1,W14,D3,L3,V1,M3} { ! coll( skol22, skol22, skol20
% 9.22/9.62 ), ! coll( skol20, skol22, skol20 ), midp( skol7( skol22, X ), skol22, X
% 9.22/9.62 ) }.
% 9.22/9.62 parent1[0]: (313) {G5,W4,D2,L1,V0,M1} R(222,0) { coll( skol22, skol22,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (7884) {G6,W10,D3,L2,V1,M2} R(143,117);r(313) { ! coll( skol20
% 9.22/9.62 , skol22, skol20 ), midp( skol7( skol22, X ), skol22, X ) }.
% 9.22/9.62 parent0: (41546) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol22, skol20 ),
% 9.22/9.62 midp( skol7( skol22, X ), skol22, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41547) {G5,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20
% 9.22/9.62 , X ) }.
% 9.22/9.62 parent0[0]: (7875) {G5,W10,D3,L2,V1,M2} R(143,314);r(275) { ! coll( skol22
% 9.22/9.62 , skol20, skol22 ), midp( skol7( skol20, X ), skol20, X ) }.
% 9.22/9.62 parent1[0]: (222) {G4,W4,D2,L1,V0,M1} R(199,163) { coll( skol22, skol20,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (20033) {G6,W6,D3,L1,V1,M1} S(7875);r(222) { midp( skol7(
% 9.22/9.62 skol20, X ), skol20, X ) }.
% 9.22/9.62 parent0: (41547) {G5,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20, X
% 9.22/9.62 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41548) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22
% 9.22/9.62 , X ) }.
% 9.22/9.62 parent0[0]: (7884) {G6,W10,D3,L2,V1,M2} R(143,117);r(313) { ! coll( skol20
% 9.22/9.62 , skol22, skol20 ), midp( skol7( skol22, X ), skol22, X ) }.
% 9.22/9.62 parent1[0]: (219) {G3,W4,D2,L1,V0,M1} R(199,164) { coll( skol20, skol22,
% 9.22/9.62 skol20 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (20034) {G7,W6,D3,L1,V1,M1} S(7884);r(219) { midp( skol7(
% 9.22/9.62 skol22, X ), skol22, X ) }.
% 9.22/9.62 parent0: (41548) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22, X
% 9.22/9.62 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41549) {G7,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 9.22/9.62 parent0[0]: (394) {G9,W8,D2,L2,V3,M2} R(391,0) { ! midp( X, Y, Z ), coll( Y
% 9.22/9.62 , Y, Z ) }.
% 9.22/9.62 parent1[0]: (20033) {G6,W6,D3,L1,V1,M1} S(7875);r(222) { midp( skol7(
% 9.22/9.62 skol20, X ), skol20, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol7( skol20, X )
% 9.22/9.62 Y := skol20
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (20105) {G10,W4,D2,L1,V1,M1} R(20033,394) { coll( skol20,
% 9.22/9.62 skol20, X ) }.
% 9.22/9.62 parent0: (41549) {G7,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41550) {G2,W8,D2,L2,V2,M2} { ! coll( skol20, skol20, Y ),
% 9.22/9.62 coll( X, skol20, Y ) }.
% 9.22/9.62 parent0[0]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 9.22/9.62 X, Y, T ), coll( Z, X, T ) }.
% 9.22/9.62 parent1[0]: (20105) {G10,W4,D2,L1,V1,M1} R(20033,394) { coll( skol20,
% 9.22/9.62 skol20, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol20
% 9.22/9.62 Y := skol20
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41552) {G3,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 9.22/9.62 parent0[0]: (41550) {G2,W8,D2,L2,V2,M2} { ! coll( skol20, skol20, Y ),
% 9.22/9.62 coll( X, skol20, Y ) }.
% 9.22/9.62 parent1[0]: (20105) {G10,W4,D2,L1,V1,M1} R(20033,394) { coll( skol20,
% 9.22/9.62 skol20, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (20207) {G11,W4,D2,L1,V2,M1} R(20105,194);r(20105) { coll( Y,
% 9.22/9.62 skol20, X ) }.
% 9.22/9.62 parent0: (41552) {G3,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41553) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 9.22/9.62 , X, Z ) }.
% 9.22/9.62 parent0[0]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 9.22/9.62 X, Y, T ), coll( Z, X, T ) }.
% 9.22/9.62 parent1[0]: (20207) {G11,W4,D2,L1,V2,M1} R(20105,194);r(20105) { coll( Y,
% 9.22/9.62 skol20, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := skol20
% 9.22/9.62 Z := Y
% 9.22/9.62 T := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41555) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 9.22/9.62 parent0[0]: (41553) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 9.22/9.62 , X, Z ) }.
% 9.22/9.62 parent1[0]: (20207) {G11,W4,D2,L1,V2,M1} R(20105,194);r(20105) { coll( Y,
% 9.22/9.62 skol20, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (20246) {G12,W4,D2,L1,V3,M1} R(20207,194);r(20207) { coll( Z,
% 9.22/9.62 X, Y ) }.
% 9.22/9.62 parent0: (41555) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41556) {G2,W5,D2,L1,V1,M1} { para( skol22, skol22, X, X ) }.
% 9.22/9.62 parent0[0]: (136) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 9.22/9.62 , Z, Z ) }.
% 9.22/9.62 parent1[0]: (20034) {G7,W6,D3,L1,V1,M1} S(7884);r(219) { midp( skol7(
% 9.22/9.62 skol22, X ), skol22, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol7( skol22, X )
% 9.22/9.62 Y := skol22
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (20344) {G8,W5,D2,L1,V1,M1} R(20034,136) { para( skol22,
% 9.22/9.62 skol22, X, X ) }.
% 9.22/9.62 parent0: (41556) {G2,W5,D2,L1,V1,M1} { para( skol22, skol22, X, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41557) {G2,W5,D2,L1,V1,M1} { para( X, X, skol22, skol22 ) }.
% 9.22/9.62 parent0[0]: (239) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 9.22/9.62 ( Z, T, Y, X ) }.
% 9.22/9.62 parent1[0]: (20344) {G8,W5,D2,L1,V1,M1} R(20034,136) { para( skol22, skol22
% 9.22/9.62 , X, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := skol22
% 9.22/9.62 Y := skol22
% 9.22/9.62 Z := X
% 9.22/9.62 T := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (20379) {G9,W5,D2,L1,V1,M1} R(20344,239) { para( X, X, skol22
% 9.22/9.62 , skol22 ) }.
% 9.22/9.62 parent0: (41557) {G2,W5,D2,L1,V1,M1} { para( X, X, skol22, skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41558) {G2,W9,D2,L1,V3,M1} { eqangle( Y, Z, X, X, Y, Z,
% 9.22/9.62 skol22, skol22 ) }.
% 9.22/9.62 parent0[0]: (769) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 9.22/9.62 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 9.22/9.62 parent1[0]: (20379) {G9,W5,D2,L1,V1,M1} R(20344,239) { para( X, X, skol22,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := X
% 9.22/9.62 Z := skol22
% 9.22/9.62 T := skol22
% 9.22/9.62 U := Y
% 9.22/9.62 W := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (24653) {G10,W9,D2,L1,V3,M1} R(769,20379) { eqangle( X, Y, Z,
% 9.22/9.62 Z, X, Y, skol22, skol22 ) }.
% 9.22/9.62 parent0: (41558) {G2,W9,D2,L1,V3,M1} { eqangle( Y, Z, X, X, Y, Z, skol22,
% 9.22/9.62 skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41559) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 9.22/9.62 , Z, X, Z ) }.
% 9.22/9.62 parent0[0]: (816) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 9.22/9.62 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 9.22/9.62 parent1[0]: (20246) {G12,W4,D2,L1,V3,M1} R(20207,194);r(20207) { coll( Z, X
% 9.22/9.62 , Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (25654) {G13,W10,D2,L2,V3,M2} S(816);r(20246) { cyclic( Z, Y,
% 9.22/9.62 X, X ), ! para( X, Z, X, Z ) }.
% 9.22/9.62 parent0: (41559) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X, Z
% 9.22/9.62 , X, Z ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 1 ==> 1
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41560) {G2,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 9.22/9.62 parent0[1]: (747) {G1,W14,D2,L2,V6,M2} R(38,19) { para( X, Y, Z, T ), !
% 9.22/9.62 eqangle( Z, T, U, W, X, Y, U, W ) }.
% 9.22/9.62 parent1[0]: (24653) {G10,W9,D2,L1,V3,M1} R(769,20379) { eqangle( X, Y, Z, Z
% 9.22/9.62 , X, Y, skol22, skol22 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 T := Y
% 9.22/9.62 U := skol22
% 9.22/9.62 W := skol22
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := skol22
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (35314) {G11,W5,D2,L1,V2,M1} R(24653,747) { para( X, Y, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent0: (41560) {G2,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41561) {G12,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 9.22/9.62 parent0[1]: (25654) {G13,W10,D2,L2,V3,M2} S(816);r(20246) { cyclic( Z, Y, X
% 9.22/9.62 , X ), ! para( X, Z, X, Z ) }.
% 9.22/9.62 parent1[0]: (35314) {G11,W5,D2,L1,V2,M1} R(24653,747) { para( X, Y, X, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40052) {G14,W5,D2,L1,V3,M1} S(25654);r(35314) { cyclic( Z, Y
% 9.22/9.62 , X, X ) }.
% 9.22/9.62 parent0: (41561) {G12,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41562) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 9.22/9.62 parent0[0]: (351) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 9.22/9.62 cyclic( Y, Z, X, T ) }.
% 9.22/9.62 parent1[0]: (40052) {G14,W5,D2,L1,V3,M1} S(25654);r(35314) { cyclic( Z, Y,
% 9.22/9.62 X, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40191) {G15,W5,D2,L1,V3,M1} R(40052,351) { cyclic( X, Y, Z, Y
% 9.22/9.62 ) }.
% 9.22/9.62 parent0: (41562) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41563) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 9.22/9.62 parent0[1]: (350) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 9.22/9.62 cyclic( Y, Z, X, T ) }.
% 9.22/9.62 parent1[0]: (40052) {G14,W5,D2,L1,V3,M1} S(25654);r(35314) { cyclic( Z, Y,
% 9.22/9.62 X, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := X
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40192) {G15,W5,D2,L1,V3,M1} R(40052,350) { cyclic( X, Y, Z, X
% 9.22/9.62 ) }.
% 9.22/9.62 parent0: (41563) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41564) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 9.22/9.62 parent0[0]: (348) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 9.22/9.62 cyclic( X, Z, T, Y ) }.
% 9.22/9.62 parent1[0]: (40052) {G14,W5,D2,L1,V3,M1} S(25654);r(35314) { cyclic( Z, Y,
% 9.22/9.62 X, X ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Z
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40193) {G15,W5,D2,L1,V3,M1} R(40052,348) { cyclic( X, Y, Y, Z
% 9.22/9.62 ) }.
% 9.22/9.62 parent0: (41564) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41567) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 9.22/9.62 , Y, X, Y ) }.
% 9.22/9.62 parent0[0]: (949) {G2,W15,D2,L3,V3,M3} F(917) { ! cyclic( X, Y, Z, X ), !
% 9.22/9.62 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 9.22/9.62 parent1[0]: (40192) {G15,W5,D2,L1,V3,M1} R(40052,350) { cyclic( X, Y, Z, X
% 9.22/9.62 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41568) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 9.22/9.62 parent0[0]: (41567) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 9.22/9.62 , Y, X, Y ) }.
% 9.22/9.62 parent1[0]: (40191) {G15,W5,D2,L1,V3,M1} R(40052,351) { cyclic( X, Y, Z, Y
% 9.22/9.62 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40196) {G16,W5,D2,L1,V2,M1} S(949);r(40192);r(40191) { cong(
% 9.22/9.62 X, Y, X, Y ) }.
% 9.22/9.62 parent0: (41568) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41570) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 9.22/9.62 ( Y, Y, Z, T ) }.
% 9.22/9.62 parent0[2]: (383) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 9.22/9.62 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 9.22/9.62 parent1[0]: (40191) {G15,W5,D2,L1,V3,M1} R(40052,351) { cyclic( X, Y, Z, Y
% 9.22/9.62 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Y
% 9.22/9.62 T := Z
% 9.22/9.62 U := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41571) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 9.22/9.62 parent0[0]: (41570) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 9.22/9.62 ( Y, Y, Z, T ) }.
% 9.22/9.62 parent1[0]: (40193) {G15,W5,D2,L1,V3,M1} R(40052,348) { cyclic( X, Y, Y, Z
% 9.22/9.62 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40206) {G16,W5,D2,L1,V3,M1} R(40191,383);r(40193) { cyclic( Y
% 9.22/9.62 , Y, Z, T ) }.
% 9.22/9.62 parent0: (41571) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := U
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41572) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 9.22/9.62 ( X, X, T, Y ) }.
% 9.22/9.62 parent0[0]: (383) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 9.22/9.62 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 9.22/9.62 parent1[0]: (40206) {G16,W5,D2,L1,V3,M1} R(40191,383);r(40193) { cyclic( Y
% 9.22/9.62 , Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Y
% 9.22/9.62 T := Z
% 9.22/9.62 U := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := U
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Y
% 9.22/9.62 T := Z
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41574) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 9.22/9.62 parent0[1]: (41572) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 9.22/9.62 ( X, X, T, Y ) }.
% 9.22/9.62 parent1[0]: (40206) {G16,W5,D2,L1,V3,M1} R(40191,383);r(40193) { cyclic( Y
% 9.22/9.62 , Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := U
% 9.22/9.62 Y := X
% 9.22/9.62 Z := T
% 9.22/9.62 T := Y
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40217) {G17,W5,D2,L1,V4,M1} R(40206,383);r(40206) { cyclic( X
% 9.22/9.62 , Y, Z, T ) }.
% 9.22/9.62 parent0: (41574) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41575) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 9.22/9.62 X, Y, Z ) }.
% 9.22/9.62 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 9.22/9.62 T, Y, T ), perp( X, Y, Z, T ) }.
% 9.22/9.62 parent1[0]: (40196) {G16,W5,D2,L1,V2,M1} S(949);r(40192);r(40191) { cong( X
% 9.22/9.62 , Y, X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Y
% 9.22/9.62 T := Z
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41577) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 9.22/9.62 parent0[0]: (41575) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 9.22/9.62 X, Y, Z ) }.
% 9.22/9.62 parent1[0]: (40196) {G16,W5,D2,L1,V2,M1} S(949);r(40192);r(40191) { cong( X
% 9.22/9.62 , Y, X, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40245) {G17,W5,D2,L1,V3,M1} R(40196,56);r(40196) { perp( X, X
% 9.22/9.62 , Z, Y ) }.
% 9.22/9.62 parent0: (41577) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41578) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 9.22/9.62 X, T, U ) }.
% 9.22/9.62 parent0[0]: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 9.22/9.62 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 9.22/9.62 parent1[0]: (40245) {G17,W5,D2,L1,V3,M1} R(40196,56);r(40196) { perp( X, X
% 9.22/9.62 , Z, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := X
% 9.22/9.62 Z := Y
% 9.22/9.62 T := Z
% 9.22/9.62 U := T
% 9.22/9.62 W := U
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := Y
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41580) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 9.22/9.62 parent0[1]: (41578) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 9.22/9.62 X, T, U ) }.
% 9.22/9.62 parent1[0]: (40245) {G17,W5,D2,L1,V3,M1} R(40196,56);r(40196) { perp( X, X
% 9.22/9.62 , Z, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := U
% 9.22/9.62 Y := Z
% 9.22/9.62 Z := T
% 9.22/9.62 T := X
% 9.22/9.62 U := Y
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := U
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40281) {G18,W5,D2,L1,V4,M1} R(40245,279);r(40245) { para( X,
% 9.22/9.62 Y, Z, T ) }.
% 9.22/9.62 parent0: (41580) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41581) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[1]: (773) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 9.22/9.62 , Z, T ), ! para( X, Y, W, U ) }.
% 9.22/9.62 parent1[0]: (40281) {G18,W5,D2,L1,V4,M1} R(40245,279);r(40245) { para( X, Y
% 9.22/9.62 , Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := W
% 9.22/9.62 T := U
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40294) {G19,W9,D2,L1,V6,M1} R(40281,773) { eqangle( X, Y, Z,
% 9.22/9.62 T, U, W, Z, T ) }.
% 9.22/9.62 parent0: (41581) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41582) {G2,W14,D2,L2,V6,M2} { ! cyclic( X, Y, Z, T ), eqangle
% 9.22/9.62 ( U, W, Z, Y, T, X, T, Y ) }.
% 9.22/9.62 parent0[1]: (783) {G1,W23,D2,L3,V8,M3} R(40,21) { ! cyclic( X, Y, Z, T ), !
% 9.22/9.62 eqangle( U, W, V0, V1, Z, X, Z, Y ), eqangle( U, W, V0, V1, T, X, T, Y )
% 9.22/9.62 }.
% 9.22/9.62 parent1[0]: (40294) {G19,W9,D2,L1,V6,M1} R(40281,773) { eqangle( X, Y, Z, T
% 9.22/9.62 , U, W, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 V0 := Z
% 9.22/9.62 V1 := Y
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := U
% 9.22/9.62 Y := W
% 9.22/9.62 Z := Z
% 9.22/9.62 T := Y
% 9.22/9.62 U := Z
% 9.22/9.62 W := X
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41583) {G3,W9,D2,L1,V6,M1} { eqangle( U, W, Z, Y, T, X, T, Y
% 9.22/9.62 ) }.
% 9.22/9.62 parent0[0]: (41582) {G2,W14,D2,L2,V6,M2} { ! cyclic( X, Y, Z, T ), eqangle
% 9.22/9.62 ( U, W, Z, Y, T, X, T, Y ) }.
% 9.22/9.62 parent1[0]: (40217) {G17,W5,D2,L1,V4,M1} R(40206,383);r(40206) { cyclic( X
% 9.22/9.62 , Y, Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (40997) {G20,W9,D2,L1,V6,M1} R(40294,783);r(40217) { eqangle(
% 9.22/9.62 U, W, Z, Y, T, X, T, Y ) }.
% 9.22/9.62 parent0: (41583) {G3,W9,D2,L1,V6,M1} { eqangle( U, W, Z, Y, T, X, T, Y )
% 9.22/9.62 }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41584) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 9.22/9.62 U, W, V0, V1, Z, T, X, V1 ) }.
% 9.22/9.62 parent0[1]: (766) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 9.22/9.62 eqangle( U, W, V0, V1, X, Y, V2, V3 ), eqangle( U, W, V0, V1, Z, T, V2,
% 9.22/9.62 V3 ) }.
% 9.22/9.62 parent1[0]: (40997) {G20,W9,D2,L1,V6,M1} R(40294,783);r(40217) { eqangle( U
% 9.22/9.62 , W, Z, Y, T, X, T, Y ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 V0 := V0
% 9.22/9.62 V1 := V1
% 9.22/9.62 V2 := X
% 9.22/9.62 V3 := V1
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := Y
% 9.22/9.62 Y := V1
% 9.22/9.62 Z := V0
% 9.22/9.62 T := X
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41585) {G3,W9,D2,L1,V7,M1} { eqangle( U, W, V0, V1, Z, T, X,
% 9.22/9.62 V1 ) }.
% 9.22/9.62 parent0[0]: (41584) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 9.22/9.62 U, W, V0, V1, Z, T, X, V1 ) }.
% 9.22/9.62 parent1[0]: (40281) {G18,W5,D2,L1,V4,M1} R(40245,279);r(40245) { para( X, Y
% 9.22/9.62 , Z, T ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 V0 := V0
% 9.22/9.62 V1 := V1
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := X
% 9.22/9.62 Y := Y
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (41001) {G21,W9,D2,L1,V7,M1} R(40997,766);r(40281) { eqangle(
% 9.22/9.62 U, W, V0, V1, Z, T, X, V1 ) }.
% 9.22/9.62 parent0: (41585) {G3,W9,D2,L1,V7,M1} { eqangle( U, W, V0, V1, Z, T, X, V1
% 9.22/9.62 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 X := X
% 9.22/9.62 Y := V2
% 9.22/9.62 Z := Z
% 9.22/9.62 T := T
% 9.22/9.62 U := U
% 9.22/9.62 W := W
% 9.22/9.62 V0 := V0
% 9.22/9.62 V1 := V1
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 0 ==> 0
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 resolution: (41586) {G2,W0,D0,L0,V0,M0} { }.
% 9.22/9.62 parent0[0]: (6995) {G1,W9,D2,L1,V0,M1} R(120,18) { ! eqangle( skol23,
% 9.22/9.62 skol24, skol20, skol23, skol23, skol22, skol24, skol23 ) }.
% 9.22/9.62 parent1[0]: (41001) {G21,W9,D2,L1,V7,M1} R(40997,766);r(40281) { eqangle( U
% 9.22/9.62 , W, V0, V1, Z, T, X, V1 ) }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 substitution1:
% 9.22/9.62 X := skol24
% 9.22/9.62 Y := X
% 9.22/9.62 Z := skol23
% 9.22/9.62 T := skol22
% 9.22/9.62 U := skol23
% 9.22/9.62 W := skol24
% 9.22/9.62 V0 := skol20
% 9.22/9.62 V1 := skol23
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 subsumption: (41008) {G22,W0,D0,L0,V0,M0} R(41001,6995) { }.
% 9.22/9.62 parent0: (41586) {G2,W0,D0,L0,V0,M0} { }.
% 9.22/9.62 substitution0:
% 9.22/9.62 end
% 9.22/9.62 permutation0:
% 9.22/9.62 end
% 9.22/9.62
% 9.22/9.62 Proof check complete!
% 9.22/9.62
% 9.22/9.62 Memory use:
% 9.22/9.62
% 9.22/9.62 space for terms: 600280
% 9.22/9.62 space for clauses: 1998794
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 clauses generated: 325867
% 9.22/9.62 clauses kept: 41009
% 9.22/9.62 clauses selected: 3341
% 9.22/9.62 clauses deleted: 21577
% 9.22/9.62 clauses inuse deleted: 1332
% 9.22/9.62
% 9.22/9.62 subsentry: 7681427
% 9.22/9.62 literals s-matched: 4927684
% 9.22/9.62 literals matched: 2697956
% 9.22/9.62 full subsumption: 1096371
% 9.22/9.62
% 9.22/9.62 checksum: 1131640936
% 9.22/9.62
% 9.22/9.62
% 9.22/9.62 Bliksem ended
%------------------------------------------------------------------------------