%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO608+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:04 EDT 2022
% Result : Theorem 1.89s 2.24s
% Output : Refutation 1.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO608+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n023.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 05:01:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.79/1.18 *** allocated 10000 integers for termspace/termends
% 0.79/1.18 *** allocated 10000 integers for clauses
% 0.79/1.18 *** allocated 10000 integers for justifications
% 0.79/1.18 Bliksem 1.12
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Automatic Strategy Selection
% 0.79/1.18
% 0.79/1.18 *** allocated 15000 integers for termspace/termends
% 0.79/1.18
% 0.79/1.18 Clauses:
% 0.79/1.18
% 0.79/1.18 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.79/1.18 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.79/1.18 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.79/1.18 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.79/1.18 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.79/1.18 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.79/1.18 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.79/1.18 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.79/1.18 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.79/1.18 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.79/1.18 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.79/1.18 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.79/1.18 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.79/1.18 ( X, Y, Z, T ) }.
% 0.79/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.79/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.79/1.18 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.79/1.18 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.79/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.79/1.18 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.79/1.18 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.79/1.18 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.79/1.18 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.79/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.79/1.18 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.79/1.18 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.79/1.18 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.79/1.18 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.79/1.18 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.79/1.18 ( X, Y, Z, T, U, W ) }.
% 0.79/1.18 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.79/1.18 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.79/1.18 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.79/1.18 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.79/1.18 ( X, Y, Z, T, U, W ) }.
% 0.79/1.18 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.79/1.18 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.79/1.18 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.79/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.79/1.18 T ) }.
% 0.79/1.18 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.79/1.18 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.79/1.18 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.79/1.18 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.79/1.18 ) }.
% 0.79/1.18 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.79/1.18 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.79/1.18 }.
% 0.79/1.18 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.79/1.18 Z, Y ) }.
% 0.79/1.18 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.79/1.18 X, Z ) }.
% 0.79/1.18 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.79/1.18 U ) }.
% 0.79/1.18 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.79/1.18 , Z ), midp( Z, X, Y ) }.
% 0.79/1.18 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.79/1.18 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.79/1.18 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.79/1.18 Z, Y ) }.
% 0.79/1.18 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.79/1.18 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.79/1.18 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.79/1.18 ( Y, X, X, Z ) }.
% 0.79/1.18 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.79/1.18 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.79/1.18 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.79/1.18 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.79/1.18 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.79/1.18 , W ) }.
% 0.79/1.18 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.79/1.18 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.79/1.18 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.79/1.18 , Y ) }.
% 0.79/1.18 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.79/1.18 , X, Z, U, Y, Y, T ) }.
% 0.79/1.18 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.79/1.18 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.79/1.18 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.79/1.18 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.79/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.79/1.18 .
% 0.79/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.79/1.18 ) }.
% 0.79/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.79/1.18 , Z, T ) }.
% 0.79/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.79/1.18 , Z, T ) }.
% 0.79/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.79/1.18 , Z, T ) }.
% 0.79/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.79/1.18 , W, Z, T ), Z, T ) }.
% 0.79/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.79/1.18 , Y, Z, T ), X, Y ) }.
% 0.79/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.79/1.18 , W, Z, T ), Z, T ) }.
% 0.79/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.79/1.18 skol2( X, Y, Z, T ) ) }.
% 0.79/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.79/1.18 , W, Z, T ), Z, T ) }.
% 0.79/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.79/1.18 skol3( X, Y, Z, T ) ) }.
% 0.79/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.79/1.18 , T ) }.
% 0.79/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.79/1.18 ) ) }.
% 0.79/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.79/1.18 skol5( W, Y, Z, T ) ) }.
% 0.79/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.79/1.18 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.79/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.79/1.18 , X, T ) }.
% 0.79/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.79/1.18 W, X, Z ) }.
% 0.79/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.79/1.18 , Y, T ) }.
% 0.79/1.18 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.79/1.18 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.79/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.79/1.18 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.79/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.79/1.18 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.79/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.79/1.18 Z, T ) ) }.
% 0.79/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.79/1.18 , T ) ) }.
% 0.79/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.79/1.18 , X, Y ) }.
% 0.79/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.79/1.18 ) }.
% 0.79/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.79/1.18 , Y ) }.
% 0.79/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.79/1.18 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.79/1.18 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.79/1.18 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.79/1.18 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 1.89/2.24 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.89/2.24 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 1.89/2.24 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.89/2.24 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 1.89/2.24 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.89/2.24 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 1.89/2.24 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 1.89/2.24 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 1.89/2.24 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 1.89/2.24 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 1.89/2.24 skol14( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.24 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 1.89/2.24 X, Y, Z ) }.
% 1.89/2.24 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 1.89/2.24 }.
% 1.89/2.24 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 1.89/2.24 ) }.
% 1.89/2.24 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 1.89/2.24 skol17( X, Y ), X, Y ) }.
% 1.89/2.24 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 1.89/2.24 }.
% 1.89/2.24 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 1.89/2.24 ) }.
% 1.89/2.24 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.89/2.24 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 1.89/2.24 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.89/2.24 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 1.89/2.24 { midp( skol20, skol25, skol24 ) }.
% 1.89/2.24 { circle( skol20, skol24, skol26, skol27 ) }.
% 1.89/2.24 { coll( skol22, skol28, skol24 ) }.
% 1.89/2.24 { circle( skol20, skol24, skol22, skol29 ) }.
% 1.89/2.24 { coll( skol30, skol28, skol25 ) }.
% 1.89/2.24 { circle( skol20, skol24, skol30, skol31 ) }.
% 1.89/2.24 { circle( skol23, skol28, skol22, skol30 ) }.
% 1.89/2.24 { ! perp( skol20, skol22, skol22, skol23 ) }.
% 1.89/2.24
% 1.89/2.24 percentage equality = 0.008772, percentage horn = 0.927419
% 1.89/2.24 This is a problem with some equality
% 1.89/2.24
% 1.89/2.24
% 1.89/2.24
% 1.89/2.24 Options Used:
% 1.89/2.24
% 1.89/2.24 useres = 1
% 1.89/2.24 useparamod = 1
% 1.89/2.24 useeqrefl = 1
% 1.89/2.24 useeqfact = 1
% 1.89/2.24 usefactor = 1
% 1.89/2.24 usesimpsplitting = 0
% 1.89/2.24 usesimpdemod = 5
% 1.89/2.24 usesimpres = 3
% 1.89/2.24
% 1.89/2.24 resimpinuse = 1000
% 1.89/2.24 resimpclauses = 20000
% 1.89/2.24 substype = eqrewr
% 1.89/2.24 backwardsubs = 1
% 1.89/2.24 selectoldest = 5
% 1.89/2.24
% 1.89/2.24 litorderings [0] = split
% 1.89/2.24 litorderings [1] = extend the termordering, first sorting on arguments
% 1.89/2.24
% 1.89/2.24 termordering = kbo
% 1.89/2.24
% 1.89/2.24 litapriori = 0
% 1.89/2.24 termapriori = 1
% 1.89/2.24 litaposteriori = 0
% 1.89/2.24 termaposteriori = 0
% 1.89/2.24 demodaposteriori = 0
% 1.89/2.24 ordereqreflfact = 0
% 1.89/2.24
% 1.89/2.24 litselect = negord
% 1.89/2.24
% 1.89/2.24 maxweight = 15
% 1.89/2.24 maxdepth = 30000
% 1.89/2.24 maxlength = 115
% 1.89/2.24 maxnrvars = 195
% 1.89/2.24 excuselevel = 1
% 1.89/2.24 increasemaxweight = 1
% 1.89/2.24
% 1.89/2.24 maxselected = 10000000
% 1.89/2.24 maxnrclauses = 10000000
% 1.89/2.24
% 1.89/2.24 showgenerated = 0
% 1.89/2.24 showkept = 0
% 1.89/2.24 showselected = 0
% 1.89/2.24 showdeleted = 0
% 1.89/2.24 showresimp = 1
% 1.89/2.24 showstatus = 2000
% 1.89/2.24
% 1.89/2.24 prologoutput = 0
% 1.89/2.24 nrgoals = 5000000
% 1.89/2.24 totalproof = 1
% 1.89/2.24
% 1.89/2.24 Symbols occurring in the translation:
% 1.89/2.24
% 1.89/2.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.89/2.24 . [1, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.89/2.24 ! [4, 1] (w:0, o:42, a:1, s:1, b:0),
% 1.89/2.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.89/2.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.89/2.24 coll [38, 3] (w:1, o:75, a:1, s:1, b:0),
% 1.89/2.24 para [40, 4] (w:1, o:83, a:1, s:1, b:0),
% 1.89/2.24 perp [43, 4] (w:1, o:84, a:1, s:1, b:0),
% 1.89/2.24 midp [45, 3] (w:1, o:76, a:1, s:1, b:0),
% 1.89/2.24 cong [47, 4] (w:1, o:85, a:1, s:1, b:0),
% 1.89/2.24 circle [48, 4] (w:1, o:86, a:1, s:1, b:0),
% 1.89/2.24 cyclic [49, 4] (w:1, o:87, a:1, s:1, b:0),
% 1.89/2.24 eqangle [54, 8] (w:1, o:102, a:1, s:1, b:0),
% 1.89/2.24 eqratio [57, 8] (w:1, o:103, a:1, s:1, b:0),
% 1.89/2.24 simtri [59, 6] (w:1, o:99, a:1, s:1, b:0),
% 1.89/2.24 contri [60, 6] (w:1, o:100, a:1, s:1, b:0),
% 1.89/2.24 alpha1 [71, 3] (w:1, o:77, a:1, s:1, b:1),
% 1.89/2.24 alpha2 [72, 4] (w:1, o:88, a:1, s:1, b:1),
% 1.89/2.24 skol1 [73, 4] (w:1, o:89, a:1, s:1, b:1),
% 1.89/2.24 skol2 [74, 4] (w:1, o:91, a:1, s:1, b:1),
% 1.89/2.24 skol3 [75, 4] (w:1, o:93, a:1, s:1, b:1),
% 1.89/2.24 skol4 [76, 4] (w:1, o:94, a:1, s:1, b:1),
% 1.89/2.24 skol5 [77, 4] (w:1, o:95, a:1, s:1, b:1),
% 1.89/2.24 skol6 [78, 6] (w:1, o:101, a:1, s:1, b:1),
% 1.89/2.24 skol7 [79, 2] (w:1, o:71, a:1, s:1, b:1),
% 1.89/2.24 skol8 [80, 4] (w:1, o:96, a:1, s:1, b:1),
% 1.89/2.24 skol9 [81, 4] (w:1, o:97, a:1, s:1, b:1),
% 1.89/2.24 skol10 [82, 3] (w:1, o:78, a:1, s:1, b:1),
% 1.89/2.24 skol11 [83, 3] (w:1, o:79, a:1, s:1, b:1),
% 1.89/2.24 skol12 [84, 2] (w:1, o:72, a:1, s:1, b:1),
% 1.89/2.24 skol13 [85, 5] (w:1, o:98, a:1, s:1, b:1),
% 1.89/2.24 skol14 [86, 3] (w:1, o:80, a:1, s:1, b:1),
% 1.89/2.24 skol15 [87, 3] (w:1, o:81, a:1, s:1, b:1),
% 1.89/2.24 skol16 [88, 3] (w:1, o:82, a:1, s:1, b:1),
% 1.89/2.24 skol17 [89, 2] (w:1, o:73, a:1, s:1, b:1),
% 1.89/2.24 skol18 [90, 2] (w:1, o:74, a:1, s:1, b:1),
% 1.89/2.24 skol19 [91, 4] (w:1, o:90, a:1, s:1, b:1),
% 1.89/2.24 skol20 [92, 0] (w:1, o:31, a:1, s:1, b:1),
% 1.89/2.24 skol21 [93, 4] (w:1, o:92, a:1, s:1, b:1),
% 1.89/2.24 skol22 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 1.89/2.24 skol23 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 1.89/2.24 skol24 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 1.89/2.24 skol25 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 1.89/2.24 skol26 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 1.89/2.24 skol27 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 1.89/2.24 skol28 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 1.89/2.24 skol29 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 1.89/2.24 skol30 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 1.89/2.24 skol31 [103, 0] (w:1, o:41, a:1, s:1, b:1).
% 1.89/2.24
% 1.89/2.24
% 1.89/2.24 Starting Search:
% 1.89/2.24
% 1.89/2.24 *** allocated 15000 integers for clauses
% 1.89/2.24 *** allocated 22500 integers for clauses
% 1.89/2.24 *** allocated 33750 integers for clauses
% 1.89/2.24 *** allocated 22500 integers for termspace/termends
% 1.89/2.24 *** allocated 50625 integers for clauses
% 1.89/2.24 *** allocated 75937 integers for clauses
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 *** allocated 33750 integers for termspace/termends
% 1.89/2.24 *** allocated 113905 integers for clauses
% 1.89/2.24 *** allocated 50625 integers for termspace/termends
% 1.89/2.24
% 1.89/2.24 Intermediate Status:
% 1.89/2.24 Generated: 13385
% 1.89/2.24 Kept: 2001
% 1.89/2.24 Inuse: 333
% 1.89/2.24 Deleted: 0
% 1.89/2.24 Deletedinuse: 0
% 1.89/2.24
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 *** allocated 170857 integers for clauses
% 1.89/2.24 *** allocated 75937 integers for termspace/termends
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 *** allocated 256285 integers for clauses
% 1.89/2.24 *** allocated 113905 integers for termspace/termends
% 1.89/2.24
% 1.89/2.24 Intermediate Status:
% 1.89/2.24 Generated: 27094
% 1.89/2.24 Kept: 4001
% 1.89/2.24 Inuse: 473
% 1.89/2.24 Deleted: 0
% 1.89/2.24 Deletedinuse: 0
% 1.89/2.24
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 *** allocated 384427 integers for clauses
% 1.89/2.24 *** allocated 170857 integers for termspace/termends
% 1.89/2.24
% 1.89/2.24 Intermediate Status:
% 1.89/2.24 Generated: 40481
% 1.89/2.24 Kept: 6003
% 1.89/2.24 Inuse: 542
% 1.89/2.24 Deleted: 0
% 1.89/2.24 Deletedinuse: 0
% 1.89/2.24
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 *** allocated 576640 integers for clauses
% 1.89/2.24
% 1.89/2.24 Intermediate Status:
% 1.89/2.24 Generated: 55793
% 1.89/2.24 Kept: 8018
% 1.89/2.24 Inuse: 701
% 1.89/2.24 Deleted: 21
% 1.89/2.24 Deletedinuse: 0
% 1.89/2.24
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 *** allocated 256285 integers for termspace/termends
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24
% 1.89/2.24 Intermediate Status:
% 1.89/2.24 Generated: 66003
% 1.89/2.24 Kept: 10028
% 1.89/2.24 Inuse: 905
% 1.89/2.24 Deleted: 812
% 1.89/2.24 Deletedinuse: 585
% 1.89/2.24
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 Resimplifying inuse:
% 1.89/2.24 Done
% 1.89/2.24
% 1.89/2.24 *** allocated 864960 integers for clauses
% 1.89/2.24
% 1.89/2.24 Intermediate Status:
% 1.89/2.24 Generated: 82034
% 1.89/2.24 Kept: 12028
% 1.89/2.24 Inuse: 1295
% 1.89/2.24 Deleted: 869
% 1.89/2.24 Deletedinuse: 585
% 1.89/2.24
% 1.89/2.24
% 1.89/2.24 Bliksems!, er is een bewijs:
% 1.89/2.24 % SZS status Theorem
% 1.89/2.24 % SZS output start Refutation
% 1.89/2.24
% 1.89/2.24 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 1.89/2.24 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 1.89/2.24 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 1.89/2.24 , Z, X ) }.
% 1.89/2.24 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 1.89/2.24 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 1.89/2.24 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 1.89/2.24 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 1.89/2.24 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 1.89/2.24 para( X, Y, Z, T ) }.
% 1.89/2.24 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 1.89/2.24 perp( X, Y, Z, T ) }.
% 1.89/2.24 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 1.89/2.24 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 1.89/2.24 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 1.89/2.24 }.
% 1.89/2.24 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 1.89/2.24 }.
% 1.89/2.24 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 1.89/2.24 }.
% 1.89/2.24 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 1.89/2.24 ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.89/2.24 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 1.89/2.24 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 1.89/2.24 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.89/2.24 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 1.89/2.24 , T, U, W ) }.
% 1.89/2.24 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 1.89/2.24 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 1.89/2.24 , Y, Z, T ) }.
% 1.89/2.24 (54) {G0,W19,D2,L3,V4,M3} I { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T )
% 1.89/2.24 , eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 1.89/2.24 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 1.89/2.24 perp( X, Y, Z, T ) }.
% 1.89/2.24 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 1.89/2.24 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 1.89/2.24 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 1.89/2.24 , Z, Y, T ) }.
% 1.89/2.24 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 1.89/2.24 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 1.89/2.24 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 1.89/2.24 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 1.89/2.24 (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X
% 1.89/2.24 , Y, Z, T ), perp( X, Y, Z, T ) }.
% 1.89/2.24 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 1.89/2.24 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 1.89/2.24 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 1.89/2.24 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 1.89/2.24 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 1.89/2.24 , X, X, Y ) }.
% 1.89/2.24 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 1.89/2.24 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.24 (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol25, skol24 ) }.
% 1.89/2.24 (122) {G0,W5,D2,L1,V0,M1} I { circle( skol23, skol28, skol22, skol30 ) }.
% 1.89/2.24 (123) {G0,W5,D2,L1,V0,M1} I { ! perp( skol20, skol22, skol22, skol23 ) }.
% 1.89/2.24 (129) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 1.89/2.24 ), cyclic( Y, Z, T, T ) }.
% 1.89/2.24 (130) {G2,W10,D2,L2,V3,M2} F(129) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 1.89/2.24 Z ) }.
% 1.89/2.24 (131) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 1.89/2.24 , T ) }.
% 1.89/2.24 (134) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), ! cyclic( X, Y,
% 1.89/2.24 Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 1.89/2.24 (137) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 1.89/2.24 , Y ), perp( Y, X, X, Y ) }.
% 1.89/2.24 (139) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 1.89/2.24 (140) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 1.89/2.24 , midp( X, T, T ) }.
% 1.89/2.24 (146) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 1.89/2.24 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 1.89/2.24 (152) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp( X, skol10( X
% 1.89/2.24 , X, Z ), Z, X ) }.
% 1.89/2.24 (165) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 1.89/2.24 (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 1.89/2.24 (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 1.89/2.24 coll( Z, X, T ) }.
% 1.89/2.24 (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 1.89/2.24 (212) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 1.89/2.24 coll( X, Z, T ) }.
% 1.89/2.24 (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 1.89/2.24 (231) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 1.89/2.24 ) }.
% 1.89/2.24 (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 1.89/2.24 ), ! perp( X, Y, U, W ) }.
% 1.89/2.24 (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 1.89/2.24 ), ! perp( U, W, Z, T ) }.
% 1.89/2.24 (274) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 1.89/2.24 ), ! perp( U, W, Y, X ) }.
% 1.89/2.24 (281) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 1.89/2.24 ) }.
% 1.89/2.24 (298) {G1,W10,D2,L2,V2,M2} R(9,123) { ! para( skol20, skol22, X, Y ), !
% 1.89/2.24 perp( X, Y, skol22, skol23 ) }.
% 1.89/2.24 (307) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol20, skol24, skol25 ) }.
% 1.89/2.24 (380) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 1.89/2.24 (385) {G6,W8,D2,L2,V3,M2} R(380,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 1.89/2.24 (386) {G6,W8,D2,L2,V3,M2} R(380,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 1.89/2.24 (390) {G7,W8,D2,L2,V3,M2} R(386,386) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 1.89/2.24 }.
% 1.89/2.24 (393) {G8,W12,D2,L3,V4,M3} R(390,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 1.89/2.24 , coll( T, Y, X ) }.
% 1.89/2.24 (394) {G9,W8,D2,L2,V3,M2} F(393) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 1.89/2.24 (396) {G1,W18,D2,L2,V8,M2} R(18,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 1.89/2.24 , eqangle( T, Z, X, Y, V0, V1, U, W ) }.
% 1.89/2.24 (400) {G10,W8,D2,L2,V3,M2} R(394,385) { coll( X, X, Y ), ! coll( Z, X, Y )
% 1.89/2.24 }.
% 1.89/2.24 (420) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 1.89/2.24 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 1.89/2.24 (446) {G11,W8,D2,L2,V3,M2} R(69,400) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 1.89/2.24 }.
% 1.89/2.24 (460) {G2,W4,D2,L1,V0,M1} R(69,307) { coll( skol20, skol24, skol25 ) }.
% 1.89/2.24 (465) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 1.89/2.24 (466) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol20, skol25, skol24 ) }.
% 1.89/2.24 (490) {G3,W4,D2,L1,V0,M1} R(460,1) { coll( skol24, skol20, skol25 ) }.
% 1.89/2.24 (548) {G4,W8,D2,L2,V1,M2} R(490,2) { ! coll( skol24, skol20, X ), coll(
% 1.89/2.24 skol25, X, skol24 ) }.
% 1.89/2.24 (550) {G2,W8,D2,L2,V1,M2} R(466,2) { ! coll( skol20, skol25, X ), coll(
% 1.89/2.24 skol24, X, skol20 ) }.
% 1.89/2.24 (616) {G3,W8,D2,L2,V1,M2} R(550,166) { coll( skol24, X, skol20 ), ! coll( X
% 1.89/2.24 , skol20, skol25 ) }.
% 1.89/2.24 (1243) {G4,W8,D2,L2,V1,M2} R(616,166) { ! coll( X, skol20, skol25 ), coll(
% 1.89/2.24 X, skol20, skol24 ) }.
% 1.89/2.24 (1484) {G5,W12,D2,L3,V2,M3} R(1243,2) { ! coll( X, skol20, skol25 ), ! coll
% 1.89/2.24 ( X, skol20, Y ), coll( skol24, Y, X ) }.
% 1.89/2.24 (1489) {G6,W8,D2,L2,V1,M2} F(1484) { ! coll( X, skol20, skol25 ), coll(
% 1.89/2.24 skol24, skol25, X ) }.
% 1.89/2.24 (1882) {G7,W8,D2,L2,V1,M2} R(1489,465) { coll( skol24, skol25, X ), ! midp
% 1.89/2.24 ( skol20, X, skol25 ) }.
% 1.89/2.24 (1938) {G8,W8,D2,L2,V1,M2} R(1882,165) { ! midp( skol20, X, skol25 ), coll
% 1.89/2.24 ( X, skol24, skol25 ) }.
% 1.89/2.24 (2441) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol20, skol25, skol20, skol24
% 1.89/2.24 ) }.
% 1.89/2.24 (3767) {G5,W8,D2,L2,V1,M2} R(548,465) { coll( skol25, X, skol24 ), ! midp(
% 1.89/2.24 skol20, skol24, X ) }.
% 1.89/2.24 (3805) {G6,W8,D2,L2,V1,M2} R(3767,0) { ! midp( skol20, skol24, X ), coll(
% 1.89/2.24 skol25, skol24, X ) }.
% 1.89/2.24 (4685) {G1,W7,D3,L1,V0,M1} R(100,122) { perp( skol12( skol28, skol23 ),
% 1.89/2.24 skol28, skol28, skol23 ) }.
% 1.89/2.24 (7078) {G3,W5,D2,L1,V0,M1} R(130,2441) { cyclic( skol25, skol24, skol24,
% 1.89/2.24 skol24 ) }.
% 1.89/2.24 (7095) {G4,W5,D2,L1,V0,M1} R(7078,15) { cyclic( skol24, skol25, skol24,
% 1.89/2.24 skol24 ) }.
% 1.89/2.24 (7100) {G5,W5,D2,L1,V0,M1} R(7095,14) { cyclic( skol24, skol24, skol25,
% 1.89/2.24 skol24 ) }.
% 1.89/2.24 (7103) {G6,W5,D2,L1,V0,M1} R(7100,13) { cyclic( skol24, skol24, skol24,
% 1.89/2.24 skol25 ) }.
% 1.89/2.24 (7110) {G7,W5,D2,L1,V0,M1} R(131,7103) { cyclic( skol24, skol24, skol25,
% 1.89/2.24 skol25 ) }.
% 1.89/2.24 (7111) {G4,W5,D2,L1,V0,M1} R(131,7078) { cyclic( skol24, skol24, skol24,
% 1.89/2.24 skol24 ) }.
% 1.89/2.24 (7124) {G8,W5,D2,L1,V0,M1} R(7110,14) { cyclic( skol24, skol25, skol24,
% 1.89/2.24 skol25 ) }.
% 1.89/2.24 (7125) {G9,W5,D2,L1,V0,M1} R(7124,131) { cyclic( skol25, skol24, skol25,
% 1.89/2.24 skol25 ) }.
% 1.89/2.24 (7135) {G10,W5,D2,L1,V0,M1} R(7125,14) { cyclic( skol25, skol25, skol24,
% 1.89/2.24 skol25 ) }.
% 1.89/2.24 (7138) {G11,W5,D2,L1,V0,M1} R(7135,13) { cyclic( skol25, skol25, skol25,
% 1.89/2.24 skol24 ) }.
% 1.89/2.24 (7141) {G12,W5,D2,L1,V0,M1} R(7138,131) { cyclic( skol25, skol25, skol24,
% 1.89/2.24 skol24 ) }.
% 1.89/2.24 (7323) {G2,W5,D2,L1,V0,M1} R(139,116) { para( skol25, skol25, skol24,
% 1.89/2.24 skol24 ) }.
% 1.89/2.24 (7335) {G13,W9,D2,L1,V0,M1} R(7323,54);r(7141) { eqangle( skol25, skol24,
% 1.89/2.24 skol24, skol24, skol24, skol24, skol24, skol25 ) }.
% 1.89/2.24 (7705) {G9,W14,D3,L3,V2,M3} R(146,3805);r(1938) { ! midp( X, skol24, skol25
% 1.89/2.24 ), midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol20, skol24, skol25
% 1.89/2.24 ) }.
% 1.89/2.24 (7834) {G10,W6,D3,L1,V1,M1} F(7705);r(307) { midp( skol7( skol24, X ),
% 1.89/2.24 skol24, X ) }.
% 1.89/2.24 (7839) {G11,W5,D2,L1,V1,M1} R(7834,139) { para( skol24, skol24, X, X ) }.
% 1.89/2.24 (7864) {G12,W4,D2,L1,V1,M1} R(7834,446) { coll( skol24, skol24, X ) }.
% 1.89/2.24 (7923) {G13,W4,D2,L1,V2,M1} R(7864,2);r(7864) { coll( Y, X, skol24 ) }.
% 1.89/2.24 (7932) {G14,W4,D2,L1,V2,M1} R(7923,166) { coll( X, skol24, Y ) }.
% 1.89/2.24 (7945) {G15,W4,D2,L1,V3,M1} R(7932,2);r(7932) { coll( Z, Y, X ) }.
% 1.89/2.24 (7963) {G12,W5,D2,L1,V1,M1} R(7839,4) { para( X, X, skol24, skol24 ) }.
% 1.89/2.24 (7967) {G13,W9,D2,L1,V3,M1} R(7963,39) { eqangle( X, X, Y, Z, skol24,
% 1.89/2.24 skol24, Y, Z ) }.
% 1.89/2.24 (8164) {G2,W7,D3,L1,V0,M1} R(4685,7) { perp( skol28, skol23, skol12( skol28
% 1.89/2.24 , skol23 ), skol28 ) }.
% 1.89/2.24 (8173) {G3,W7,D3,L1,V0,M1} R(8164,6) { perp( skol28, skol23, skol28, skol12
% 1.89/2.24 ( skol28, skol23 ) ) }.
% 1.89/2.24 (8181) {G4,W7,D3,L1,V0,M1} R(8173,7) { perp( skol28, skol12( skol28, skol23
% 1.89/2.24 ), skol28, skol23 ) }.
% 1.89/2.24 (8190) {G5,W7,D3,L1,V0,M1} R(8181,6) { perp( skol28, skol12( skol28, skol23
% 1.89/2.24 ), skol23, skol28 ) }.
% 1.89/2.24 (8199) {G6,W7,D3,L1,V0,M1} R(8190,7) { perp( skol23, skol28, skol28, skol12
% 1.89/2.24 ( skol28, skol23 ) ) }.
% 1.89/2.24 (8201) {G16,W8,D3,L1,V2,M1} R(8199,110);r(7945) { perp( skol16( skol23, X,
% 1.89/2.24 Y ), skol23, X, Y ) }.
% 1.89/2.24 (8238) {G17,W8,D3,L1,V2,M1} R(8201,7) { perp( X, Y, skol16( skol23, X, Y )
% 1.89/2.24 , skol23 ) }.
% 1.89/2.24 (8248) {G18,W8,D3,L1,V2,M1} R(8238,6) { perp( X, Y, skol23, skol16( skol23
% 1.89/2.24 , X, Y ) ) }.
% 1.89/2.24 (8252) {G19,W8,D3,L1,V3,M1} R(8248,110);r(7945) { perp( skol16( X, Y, Z ),
% 1.89/2.24 X, Y, Z ) }.
% 1.89/2.24 (8271) {G20,W8,D3,L1,V3,M1} R(8252,7) { perp( X, Y, skol16( Z, X, Y ), Z )
% 1.89/2.24 }.
% 1.89/2.24 (8281) {G21,W8,D3,L1,V3,M1} R(8271,6) { perp( X, Y, Z, skol16( Z, X, Y ) )
% 1.89/2.24 }.
% 1.89/2.24 (8309) {G22,W8,D3,L1,V3,M1} R(8281,7) { perp( X, skol16( X, Y, Z ), Y, Z )
% 1.89/2.24 }.
% 1.89/2.24 (8312) {G23,W8,D3,L1,V2,M1} R(8309,152) { perp( X, skol10( X, X, Y ), Y, X
% 1.89/2.24 ) }.
% 1.89/2.24 (8436) {G24,W8,D3,L1,V2,M1} R(8312,7) { perp( X, Y, Y, skol10( Y, Y, X ) )
% 1.89/2.24 }.
% 1.89/2.24 (8444) {G25,W8,D3,L1,V2,M1} R(8436,6) { perp( X, Y, skol10( Y, Y, X ), Y )
% 1.89/2.24 }.
% 1.89/2.24 (8453) {G26,W8,D3,L1,V2,M1} R(8444,7) { perp( skol10( X, X, Y ), X, Y, X )
% 1.89/2.24 }.
% 1.89/2.24 (8461) {G27,W8,D3,L1,V2,M1} R(8453,6) { perp( skol10( X, X, Y ), X, X, Y )
% 1.89/2.24 }.
% 1.89/2.24 (8467) {G28,W8,D3,L1,V2,M1} R(8461,7) { perp( X, Y, skol10( X, X, Y ), X )
% 1.89/2.24 }.
% 1.89/2.24 (8472) {G29,W8,D3,L1,V2,M1} R(8467,6) { perp( X, Y, X, skol10( X, X, Y ) )
% 1.89/2.24 }.
% 1.89/2.24 (8985) {G30,W5,D2,L1,V2,M1} R(281,8472) { para( X, Y, X, Y ) }.
% 1.89/2.24 (8989) {G31,W8,D2,L2,V3,M2} R(8985,140) { ! midp( X, Y, Y ), midp( X, Z, Z
% 1.89/2.24 ) }.
% 1.89/2.24 (9548) {G24,W8,D3,L1,V0,M1} R(298,8312) { ! para( skol20, skol22, skol23,
% 1.89/2.24 skol10( skol23, skol23, skol22 ) ) }.
% 1.89/2.24 (10947) {G14,W5,D2,L1,V0,M1} R(7967,134);f;r(7111) { cong( skol24, skol24,
% 1.89/2.24 skol24, skol24 ) }.
% 1.89/2.24 (10958) {G15,W5,D2,L1,V0,M1} R(10947,137);r(7111) { perp( skol24, skol24,
% 1.89/2.24 skol24, skol24 ) }.
% 1.89/2.24 (10995) {G16,W10,D2,L2,V2,M2} R(10958,274) { ! perp( skol24, skol24, X, Y )
% 1.89/2.24 , para( skol24, skol24, X, Y ) }.
% 1.89/2.24 (11793) {G14,W9,D2,L1,V0,M1} R(7335,420) { eqangle( skol24, skol24, skol24
% 1.89/2.24 , skol25, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.24 (11798) {G15,W9,D2,L1,V0,M1} R(11793,396) { eqangle( skol25, skol24, skol24
% 1.89/2.24 , skol24, skol24, skol24, skol25, skol24 ) }.
% 1.89/2.24 (11807) {G16,W9,D2,L1,V0,M1} R(11798,420) { eqangle( skol24, skol24, skol25
% 1.89/2.24 , skol24, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.24 (11808) {G17,W5,D2,L1,V0,M1} R(11807,71);r(10995) { para( skol24, skol24,
% 1.89/2.24 skol25, skol24 ) }.
% 1.89/2.24 (11832) {G18,W5,D2,L1,V0,M1} R(11808,231) { para( skol25, skol24, skol24,
% 1.89/2.24 skol24 ) }.
% 1.89/2.24 (11856) {G19,W8,D2,L2,V1,M2} R(11832,64);r(11832) { ! midp( X, skol25,
% 1.89/2.24 skol24 ), midp( X, skol24, skol24 ) }.
% 1.89/2.24 (12027) {G20,W4,D2,L1,V0,M1} R(11856,116) { midp( skol20, skol24, skol24 )
% 1.89/2.24 }.
% 1.89/2.24 (12028) {G32,W4,D2,L1,V1,M1} R(12027,8989) { midp( skol20, X, X ) }.
% 1.89/2.24 (12068) {G33,W5,D2,L1,V1,M1} R(12028,68) { cong( skol20, X, skol20, X ) }.
% 1.89/2.24 (12163) {G34,W5,D2,L1,V2,M1} R(12068,56);r(12068) { perp( skol20, skol20, Y
% 1.89/2.24 , X ) }.
% 1.89/2.24 (12203) {G35,W5,D2,L1,V4,M1} R(12163,272);r(12163) { para( X, Y, Z, T ) }.
% 1.89/2.24 (12214) {G36,W0,D0,L0,V0,M0} R(12203,9548) { }.
% 1.89/2.24
% 1.89/2.24
% 1.89/2.24 % SZS output end Refutation
% 1.89/2.24 found a proof!
% 1.89/2.24
% 1.89/2.24
% 1.89/2.24 Unprocessed initial clauses:
% 1.89/2.24
% 1.89/2.24 (12216) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 1.89/2.24 (12217) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 1.89/2.24 (12218) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 1.89/2.24 ( Y, Z, X ) }.
% 1.89/2.24 (12219) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 1.89/2.24 }.
% 1.89/2.24 (12220) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 1.89/2.24 }.
% 1.89/2.24 (12221) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 1.89/2.24 , para( X, Y, Z, T ) }.
% 1.89/2.24 (12222) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 1.89/2.24 }.
% 1.89/2.24 (12223) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 1.89/2.24 }.
% 1.89/2.24 (12224) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 1.89/2.24 , para( X, Y, Z, T ) }.
% 1.89/2.24 (12225) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 1.89/2.24 , perp( X, Y, Z, T ) }.
% 1.89/2.24 (12226) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 1.89/2.24 (12227) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 1.89/2.24 , circle( T, X, Y, Z ) }.
% 1.89/2.24 (12228) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 1.89/2.24 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 (12229) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 1.89/2.24 ) }.
% 1.89/2.24 (12230) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 1.89/2.24 ) }.
% 1.89/2.24 (12231) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 1.89/2.24 ) }.
% 1.89/2.24 (12232) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 1.89/2.24 T ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 (12233) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.89/2.24 (12234) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 1.89/2.24 (12235) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 1.89/2.24 (12236) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.89/2.24 (12237) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 1.89/2.24 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 1.89/2.24 V1 ) }.
% 1.89/2.24 (12238) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 1.89/2.24 }.
% 1.89/2.24 (12239) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 1.89/2.24 }.
% 1.89/2.24 (12240) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 1.89/2.24 , cong( X, Y, Z, T ) }.
% 1.89/2.24 (12241) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.89/2.24 (12242) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 1.89/2.24 (12243) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 1.89/2.24 (12244) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.89/2.24 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.89/2.24 (12245) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 1.89/2.24 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 1.89/2.24 V1 ) }.
% 1.89/2.24 (12246) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 1.89/2.24 , Z, T, U, W ) }.
% 1.89/2.24 (12247) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 1.89/2.24 , Z, T, U, W ) }.
% 1.89/2.24 (12248) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 1.89/2.24 , Z, T, U, W ) }.
% 1.89/2.24 (12249) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 1.89/2.24 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 1.89/2.24 (12250) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 1.89/2.24 , Z, T, U, W ) }.
% 1.89/2.24 (12251) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 1.89/2.24 , Z, T, U, W ) }.
% 1.89/2.24 (12252) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 1.89/2.24 , Z, T, U, W ) }.
% 1.89/2.24 (12253) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 1.89/2.24 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 1.89/2.24 (12254) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 1.89/2.24 X, Y, Z, T ) }.
% 1.89/2.24 (12255) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 1.89/2.24 Z, T, U, W ) }.
% 1.89/2.24 (12256) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 1.89/2.24 , T, X, T, Y ) }.
% 1.89/2.24 (12257) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 1.89/2.24 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 (12258) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 1.89/2.24 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 (12259) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 1.89/2.24 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 1.89/2.24 , Y, Z, T ) }.
% 1.89/2.24 (12260) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 1.89/2.24 ( Z, T, X, Y ) }.
% 1.89/2.24 (12261) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 1.89/2.24 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 1.89/2.24 (12262) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 1.89/2.24 X, Y, Z, Y ) }.
% 1.89/2.24 (12263) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 1.89/2.24 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 1.89/2.24 (12264) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 1.89/2.24 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 1.89/2.24 (12265) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 1.89/2.24 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 1.89/2.24 (12266) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 1.89/2.24 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 1.89/2.24 (12267) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 1.89/2.24 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 1.89/2.24 (12268) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 1.89/2.24 cong( X, Z, Y, Z ) }.
% 1.89/2.24 (12269) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 1.89/2.24 perp( X, Y, Y, Z ) }.
% 1.89/2.24 (12270) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 1.89/2.24 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 1.89/2.24 (12271) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 1.89/2.24 cong( Z, X, Z, Y ) }.
% 1.89/2.24 (12272) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 1.89/2.24 , perp( X, Y, Z, T ) }.
% 1.89/2.24 (12273) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 1.89/2.24 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 1.89/2.24 (12274) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 1.89/2.24 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 1.89/2.24 , W ) }.
% 1.89/2.24 (12275) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 1.89/2.24 , X, Z, T, U, T, W ) }.
% 1.89/2.24 (12276) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 1.89/2.24 , Y, Z, T, U, U, W ) }.
% 1.89/2.24 (12277) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 1.89/2.24 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 1.89/2.24 (12278) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 1.89/2.24 , T ) }.
% 1.89/2.24 (12279) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 1.89/2.24 ( X, Z, Y, T ) }.
% 1.89/2.24 (12280) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 1.89/2.24 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 1.89/2.24 (12281) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 1.89/2.24 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 1.89/2.24 (12282) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 1.89/2.24 (12283) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 1.89/2.24 midp( X, Y, Z ) }.
% 1.89/2.24 (12284) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 1.89/2.24 (12285) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 1.89/2.24 (12286) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 1.89/2.24 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 1.89/2.24 (12287) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 1.89/2.24 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 1.89/2.24 (12288) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 1.89/2.24 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 1.89/2.24 (12289) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 1.89/2.24 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 1.89/2.24 (12290) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 1.89/2.24 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 1.89/2.24 (12291) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 1.89/2.24 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 1.89/2.24 (12292) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 1.89/2.24 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 1.89/2.24 (12293) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 1.89/2.24 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 1.89/2.24 (12294) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 1.89/2.24 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 1.89/2.24 (12295) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 1.89/2.24 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 1.89/2.24 (12296) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 1.89/2.24 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 1.89/2.24 (12297) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 1.89/2.24 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 1.89/2.24 (12298) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 1.89/2.24 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 1.89/2.24 (12299) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 1.89/2.24 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 1.89/2.24 (12300) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 1.89/2.24 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 1.89/2.24 (12301) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 1.89/2.24 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 1.89/2.24 , T ) ) }.
% 1.89/2.24 (12302) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 1.89/2.24 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 1.89/2.24 (12303) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 1.89/2.24 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 1.89/2.24 (12304) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 1.89/2.24 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 1.89/2.24 (12305) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 1.89/2.24 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 1.89/2.24 (12306) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 1.89/2.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 1.89/2.24 ) }.
% 1.89/2.24 (12307) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 1.89/2.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 1.89/2.24 }.
% 1.89/2.24 (12308) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 1.89/2.24 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 1.89/2.24 (12309) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 1.89/2.24 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 1.89/2.24 (12310) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 1.89/2.24 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 1.89/2.24 (12311) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 1.89/2.24 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 1.89/2.24 (12312) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 1.89/2.24 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 1.89/2.24 (12313) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 1.89/2.24 , alpha1( X, Y, Z ) }.
% 1.89/2.24 (12314) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 1.89/2.24 ), Z, X ) }.
% 1.89/2.24 (12315) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 1.89/2.24 , Z ), Z, X ) }.
% 1.89/2.24 (12316) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 1.89/2.24 alpha1( X, Y, Z ) }.
% 1.89/2.24 (12317) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 1.89/2.24 ), X, X, Y ) }.
% 1.89/2.24 (12318) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 1.89/2.24 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 1.89/2.24 ) ) }.
% 1.89/2.24 (12319) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 1.89/2.24 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 1.89/2.24 (12320) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 1.89/2.24 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 1.89/2.24 }.
% 1.89/2.24 (12321) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 1.89/2.24 (12322) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 1.89/2.24 }.
% 1.89/2.24 (12323) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 1.89/2.24 alpha2( X, Y, Z, T ) }.
% 1.89/2.24 (12324) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 1.89/2.24 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.24 (12325) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 1.89/2.24 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.24 (12326) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 1.89/2.24 coll( skol16( W, Y, Z ), Y, Z ) }.
% 1.89/2.24 (12327) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 1.89/2.24 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.24 (12328) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 1.89/2.24 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 1.89/2.24 (12329) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 1.89/2.24 , coll( X, Y, skol18( X, Y ) ) }.
% 1.89/2.24 (12330) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 1.89/2.24 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 1.89/2.24 (12331) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 1.89/2.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 1.89/2.24 }.
% 1.89/2.24 (12332) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 1.89/2.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 1.89/2.24 }.
% 1.89/2.24 (12333) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol25, skol24 ) }.
% 1.89/2.24 (12334) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol24, skol26, skol27 ) }.
% 1.89/2.24 (12335) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol28, skol24 ) }.
% 1.89/2.24 (12336) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol24, skol22, skol29 ) }.
% 1.89/2.24 (12337) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol28, skol25 ) }.
% 1.89/2.24 (12338) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol24, skol30, skol31 ) }.
% 1.89/2.24 (12339) {G0,W5,D2,L1,V0,M1} { circle( skol23, skol28, skol22, skol30 ) }.
% 1.89/2.24 (12340) {G0,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol22, skol23 ) }.
% 1.89/2.24
% 1.89/2.24
% 1.89/2.24 Total Proof:
% 1.89/2.24
% 1.89/2.24 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.89/2.24 }.
% 1.89/2.24 parent0: (12216) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.89/2.24 }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.89/2.24 }.
% 1.89/2.24 parent0: (12217) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.89/2.24 }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 1.89/2.24 Z ), coll( Y, Z, X ) }.
% 1.89/2.24 parent0: (12218) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.89/2.24 ), coll( Y, Z, X ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 1.89/2.24 , T, Z ) }.
% 1.89/2.24 parent0: (12219) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 1.89/2.24 T, Z ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 1.89/2.24 , X, Y ) }.
% 1.89/2.24 parent0: (12220) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 1.89/2.24 X, Y ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 1.89/2.24 , T, Z ) }.
% 1.89/2.24 parent0: (12222) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 1.89/2.24 T, Z ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 1.89/2.24 , X, Y ) }.
% 1.89/2.24 parent0: (12223) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.24 X, Y ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 1.89/2.24 W, Z, T ), para( X, Y, Z, T ) }.
% 1.89/2.24 parent0: (12224) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 1.89/2.24 , Z, T ), para( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 W := W
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 1.89/2.24 W, Z, T ), perp( X, Y, Z, T ) }.
% 1.89/2.24 parent0: (12225) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 1.89/2.24 , Z, T ), perp( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 W := W
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 1.89/2.24 ) }.
% 1.89/2.24 parent0: (12226) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 1.89/2.24 }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 1.89/2.24 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 parent0: (12228) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 1.89/2.24 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 3 ==> 3
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 1.89/2.24 X, Y, T, Z ) }.
% 1.89/2.24 parent0: (12229) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 1.89/2.24 , Y, T, Z ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 1.89/2.24 X, Z, Y, T ) }.
% 1.89/2.24 parent0: (12230) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 1.89/2.24 , Z, Y, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 1.89/2.24 Y, X, Z, T ) }.
% 1.89/2.24 parent0: (12231) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 1.89/2.24 , X, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 1.89/2.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 parent0: (12232) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 1.89/2.24 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 1.89/2.24 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.89/2.24 parent0: (12233) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 1.89/2.24 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 W := W
% 1.89/2.24 V0 := V0
% 1.89/2.24 V1 := V1
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 1.89/2.24 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 1.89/2.24 parent0: (12234) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 1.89/2.24 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 W := W
% 1.89/2.24 V0 := V0
% 1.89/2.24 V1 := V1
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 1.89/2.24 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 1.89/2.24 parent0: (12235) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 1.89/2.24 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 W := W
% 1.89/2.24 V0 := V0
% 1.89/2.24 V1 := V1
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 1.89/2.24 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.89/2.24 parent0: (12236) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 1.89/2.24 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 W := W
% 1.89/2.24 V0 := V0
% 1.89/2.24 V1 := V1
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 1.89/2.24 , Y, U, W, Z, T, U, W ) }.
% 1.89/2.24 parent0: (12255) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 1.89/2.24 Y, U, W, Z, T, U, W ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 W := W
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 1.89/2.24 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 1.89/2.24 ), cong( X, Y, Z, T ) }.
% 1.89/2.24 parent0: (12259) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 1.89/2.24 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 1.89/2.24 , cong( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 W := W
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 3 ==> 3
% 1.89/2.24 4 ==> 4
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (54) {G0,W19,D2,L3,V4,M3} I { ! cyclic( X, Y, Z, T ), ! para(
% 1.89/2.24 X, Y, Z, T ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 1.89/2.24 parent0: (12270) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X
% 1.89/2.24 , Y, Z, T ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 1.89/2.24 , T, Y, T ), perp( X, Y, Z, T ) }.
% 1.89/2.24 parent0: (12272) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 1.89/2.24 , Y, T ), perp( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 1.89/2.24 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 1.89/2.24 parent0: (12273) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 1.89/2.24 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 3 ==> 3
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 1.89/2.24 , T ), para( X, Z, Y, T ) }.
% 1.89/2.24 parent0: (12279) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 1.89/2.24 ), para( X, Z, Y, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 1.89/2.24 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 1.89/2.24 parent0: (12280) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 1.89/2.24 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 3 ==> 3
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 1.89/2.24 , Z ) }.
% 1.89/2.24 parent0: (12284) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 1.89/2.24 ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 1.89/2.24 ) }.
% 1.89/2.24 parent0: (12285) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 1.89/2.24 }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X,
% 1.89/2.24 Y ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 1.89/2.24 parent0: (12287) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 1.89/2.24 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 1.89/2.24 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 1.89/2.24 ) }.
% 1.89/2.24 parent0: (12305) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 1.89/2.24 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 1.89/2.24 }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 W := W
% 1.89/2.24 V0 := V0
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 3 ==> 3
% 1.89/2.24 4 ==> 4
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 1.89/2.24 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 1.89/2.24 parent0: (12312) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 1.89/2.24 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 1.89/2.24 skol12( X, Y ), X, X, Y ) }.
% 1.89/2.24 parent0: (12317) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 1.89/2.24 skol12( X, Y ), X, X, Y ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 1.89/2.24 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.24 parent0: (12327) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 1.89/2.24 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 U := U
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol25, skol24 )
% 1.89/2.24 }.
% 1.89/2.24 parent0: (12333) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol25, skol24 ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { circle( skol23, skol28, skol22,
% 1.89/2.24 skol30 ) }.
% 1.89/2.24 parent0: (12339) {G0,W5,D2,L1,V0,M1} { circle( skol23, skol28, skol22,
% 1.89/2.24 skol30 ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (123) {G0,W5,D2,L1,V0,M1} I { ! perp( skol20, skol22, skol22,
% 1.89/2.24 skol23 ) }.
% 1.89/2.24 parent0: (12340) {G0,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol22,
% 1.89/2.24 skol23 ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 factor: (12955) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 1.89/2.24 , X, T ), cyclic( Y, Z, T, T ) }.
% 1.89/2.24 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 1.89/2.24 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := Y
% 1.89/2.24 Y := Z
% 1.89/2.24 Z := T
% 1.89/2.24 T := T
% 1.89/2.24 U := X
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (129) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 1.89/2.24 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 1.89/2.24 parent0: (12955) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 1.89/2.24 , X, T ), cyclic( Y, Z, T, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 2 ==> 2
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 factor: (12957) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 1.89/2.24 , Z, Z ) }.
% 1.89/2.24 parent0[0, 1]: (129) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 1.89/2.24 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := Z
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (130) {G2,W10,D2,L2,V3,M2} F(129) { ! cong( X, Y, X, Z ),
% 1.89/2.24 cyclic( Y, Z, Z, Z ) }.
% 1.89/2.24 parent0: (12957) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 1.89/2.24 , Z, Z ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 factor: (12958) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 1.89/2.24 Z, T, T ) }.
% 1.89/2.24 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 1.89/2.24 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := Y
% 1.89/2.24 Y := Z
% 1.89/2.24 Z := T
% 1.89/2.24 T := T
% 1.89/2.24 U := X
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (131) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 1.89/2.24 cyclic( Y, Z, T, T ) }.
% 1.89/2.24 parent0: (12958) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 1.89/2.24 , Z, T, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := Z
% 1.89/2.24 T := T
% 1.89/2.24 end
% 1.89/2.24 permutation0:
% 1.89/2.24 0 ==> 0
% 1.89/2.24 1 ==> 1
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 factor: (12961) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic( X
% 1.89/2.24 , Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 1.89/2.24 parent0[1, 2]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), !
% 1.89/2.24 cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z
% 1.89/2.24 , W, T ), cong( X, Y, Z, T ) }.
% 1.89/2.24 substitution0:
% 1.89/2.24 X := X
% 1.89/2.24 Y := Y
% 1.89/2.24 Z := T
% 1.89/2.24 T := U
% 1.89/2.24 U := Z
% 1.89/2.24 W := U
% 1.89/2.24 end
% 1.89/2.24
% 1.89/2.24 subsumption: (134) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 1.89/2.24 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 1.89/2.25 , U ) }.
% 1.89/2.25 parent0: (12961) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic(
% 1.89/2.25 X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 U := U
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 2 ==> 2
% 1.89/2.25 3 ==> 3
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (12963) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 1.89/2.25 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 1.89/2.25 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 1.89/2.25 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Y
% 1.89/2.25 T := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (137) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 1.89/2.25 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 1.89/2.25 parent0: (12963) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 1.89/2.25 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 2 ==> 2
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (12964) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 1.89/2.25 Z, T ), para( X, Z, Y, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := Y
% 1.89/2.25 T := Z
% 1.89/2.25 U := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (139) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 1.89/2.25 Y, Z, Z ) }.
% 1.89/2.25 parent0: (12964) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 1.89/2.25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (12965) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 1.89/2.25 , T ), midp( X, T, T ) }.
% 1.89/2.25 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 1.89/2.25 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := T
% 1.89/2.25 Y := T
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 U := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (140) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 1.89/2.25 Y, T, Z, T ), midp( X, T, T ) }.
% 1.89/2.25 parent0: (12965) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 1.89/2.25 , T ), midp( X, T, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 2 ==> 2
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (12966) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 1.89/2.25 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 1.89/2.25 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 1.89/2.25 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 1.89/2.25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 U := Z
% 1.89/2.25 W := X
% 1.89/2.25 V0 := T
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (146) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 1.89/2.25 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 1.89/2.25 parent0: (12966) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 1.89/2.25 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 2 ==> 2
% 1.89/2.25 3 ==> 3
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (12969) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 1.89/2.25 skol10( X, X, Z ), Z, X ) }.
% 1.89/2.25 parent0[0, 1]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 1.89/2.25 Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Z
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (152) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp
% 1.89/2.25 ( X, skol10( X, X, Z ), Z, X ) }.
% 1.89/2.25 parent0: (12969) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 1.89/2.25 skol10( X, X, Z ), Z, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12970) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 1.89/2.25 , Z, X ) }.
% 1.89/2.25 parent0: (12970) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12972) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 1.89/2.25 , Z, X ) }.
% 1.89/2.25 parent0: (12972) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12976) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 1.89/2.25 X ), ! coll( Z, T, Y ) }.
% 1.89/2.25 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.89/2.25 ), coll( Y, Z, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Y
% 1.89/2.25 T := T
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 1.89/2.25 ( X, Y, T ), coll( Z, X, T ) }.
% 1.89/2.25 parent0: (12976) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 1.89/2.25 , ! coll( Z, T, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := T
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 2
% 1.89/2.25 1 ==> 0
% 1.89/2.25 2 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (12978) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 parent0[0, 1]: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 1.89/2.25 coll( X, Y, T ), coll( Z, X, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z
% 1.89/2.25 , X, Z ) }.
% 1.89/2.25 parent0: (12978) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12979) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 1.89/2.25 X ), ! coll( Z, T, Y ) }.
% 1.89/2.25 parent0[0]: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z,
% 1.89/2.25 X, Z ) }.
% 1.89/2.25 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.89/2.25 ), coll( Y, Z, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Y
% 1.89/2.25 T := T
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (212) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll
% 1.89/2.25 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 1.89/2.25 parent0: (12979) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 1.89/2.25 , ! coll( Z, T, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := X
% 1.89/2.25 T := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 2 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (12981) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 parent0[1, 2]: (212) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), !
% 1.89/2.25 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X
% 1.89/2.25 , Z, Y ) }.
% 1.89/2.25 parent0: (12981) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12983) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 1.89/2.25 T, X, Y ) }.
% 1.89/2.25 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 1.89/2.25 T, Z ) }.
% 1.89/2.25 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := T
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (231) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 1.89/2.25 ( Z, T, Y, X ) }.
% 1.89/2.25 parent0: (12983) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := T
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12984) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 1.89/2.25 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 1.89/2.25 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 1.89/2.25 , Z, T ), para( X, Y, Z, T ) }.
% 1.89/2.25 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := U
% 1.89/2.25 T := W
% 1.89/2.25 U := Z
% 1.89/2.25 W := T
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := T
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 1.89/2.25 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 1.89/2.25 parent0: (12984) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 1.89/2.25 U, W ), ! perp( Z, T, X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := U
% 1.89/2.25 Y := W
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 U := Z
% 1.89/2.25 W := T
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 2 ==> 2
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12989) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 1.89/2.25 Y, U, W ), ! perp( U, W, Z, T ) }.
% 1.89/2.25 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 1.89/2.25 , Z, T ), para( X, Y, Z, T ) }.
% 1.89/2.25 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := U
% 1.89/2.25 T := W
% 1.89/2.25 U := Z
% 1.89/2.25 W := T
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := U
% 1.89/2.25 Y := W
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 1.89/2.25 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 1.89/2.25 parent0: (12989) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 1.89/2.25 U, W ), ! perp( U, W, Z, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 U := U
% 1.89/2.25 W := W
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 2 ==> 2
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12992) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 1.89/2.25 Y, U, W ), ! perp( X, Y, T, Z ) }.
% 1.89/2.25 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 1.89/2.25 , Z, T ), para( X, Y, Z, T ) }.
% 1.89/2.25 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 1.89/2.25 T, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := U
% 1.89/2.25 T := W
% 1.89/2.25 U := Z
% 1.89/2.25 W := T
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := T
% 1.89/2.25 T := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (274) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 1.89/2.25 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 1.89/2.25 parent0: (12992) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 1.89/2.25 U, W ), ! perp( X, Y, T, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := U
% 1.89/2.25 Y := W
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 U := Z
% 1.89/2.25 W := T
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 2 ==> 2
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (12996) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 1.89/2.25 , Y ) }.
% 1.89/2.25 parent0[0, 2]: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 1.89/2.25 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 U := X
% 1.89/2.25 W := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (281) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para
% 1.89/2.25 ( X, Y, X, Y ) }.
% 1.89/2.25 parent0: (12996) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12997) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol22, X, Y )
% 1.89/2.25 , ! perp( X, Y, skol22, skol23 ) }.
% 1.89/2.25 parent0[0]: (123) {G0,W5,D2,L1,V0,M1} I { ! perp( skol20, skol22, skol22,
% 1.89/2.25 skol23 ) }.
% 1.89/2.25 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 1.89/2.25 , Z, T ), perp( X, Y, Z, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol22
% 1.89/2.25 Z := skol22
% 1.89/2.25 T := skol23
% 1.89/2.25 U := X
% 1.89/2.25 W := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (298) {G1,W10,D2,L2,V2,M2} R(9,123) { ! para( skol20, skol22,
% 1.89/2.25 X, Y ), ! perp( X, Y, skol22, skol23 ) }.
% 1.89/2.25 parent0: (12997) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol22, X, Y ), !
% 1.89/2.25 perp( X, Y, skol22, skol23 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (12998) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol24, skol25 )
% 1.89/2.25 }.
% 1.89/2.25 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 1.89/2.25 }.
% 1.89/2.25 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol25, skol24 )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol20
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (307) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol20, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 parent0: (12998) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13000) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 parent1[0]: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X,
% 1.89/2.25 Z, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (380) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll(
% 1.89/2.25 Z, X, X ) }.
% 1.89/2.25 parent0: (13000) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13001) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (380) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 1.89/2.25 , X, X ) }.
% 1.89/2.25 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (385) {G6,W8,D2,L2,V3,M2} R(380,1) { coll( X, Y, Y ), ! coll(
% 1.89/2.25 Z, Y, X ) }.
% 1.89/2.25 parent0: (13001) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13002) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (380) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 1.89/2.25 , X, X ) }.
% 1.89/2.25 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (386) {G6,W8,D2,L2,V3,M2} R(380,0) { coll( X, Y, Y ), ! coll(
% 1.89/2.25 Y, X, Z ) }.
% 1.89/2.25 parent0: (13002) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13003) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[1]: (386) {G6,W8,D2,L2,V3,M2} R(380,0) { coll( X, Y, Y ), ! coll( Y
% 1.89/2.25 , X, Z ) }.
% 1.89/2.25 parent1[0]: (386) {G6,W8,D2,L2,V3,M2} R(380,0) { coll( X, Y, Y ), ! coll( Y
% 1.89/2.25 , X, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (390) {G7,W8,D2,L2,V3,M2} R(386,386) { ! coll( X, Y, Z ), coll
% 1.89/2.25 ( X, Y, Y ) }.
% 1.89/2.25 parent0: (13003) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13007) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 1.89/2.25 X ), ! coll( X, Y, T ) }.
% 1.89/2.25 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.89/2.25 ), coll( Y, Z, X ) }.
% 1.89/2.25 parent1[1]: (390) {G7,W8,D2,L2,V3,M2} R(386,386) { ! coll( X, Y, Z ), coll
% 1.89/2.25 ( X, Y, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := Y
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := T
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (393) {G8,W12,D2,L3,V4,M3} R(390,2) { ! coll( X, Y, Z ), !
% 1.89/2.25 coll( X, Y, T ), coll( T, Y, X ) }.
% 1.89/2.25 parent0: (13007) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 1.89/2.25 , ! coll( X, Y, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := T
% 1.89/2.25 T := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 2
% 1.89/2.25 2 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (13010) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 1.89/2.25 }.
% 1.89/2.25 parent0[0, 1]: (393) {G8,W12,D2,L3,V4,M3} R(390,2) { ! coll( X, Y, Z ), !
% 1.89/2.25 coll( X, Y, T ), coll( T, Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (394) {G9,W8,D2,L2,V3,M2} F(393) { ! coll( X, Y, Z ), coll( Z
% 1.89/2.25 , Y, X ) }.
% 1.89/2.25 parent0: (13010) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13012) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 1.89/2.25 V1 ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 1.89/2.25 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 1.89/2.25 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.89/2.25 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 1.89/2.25 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 U := U
% 1.89/2.25 W := W
% 1.89/2.25 V0 := V0
% 1.89/2.25 V1 := V1
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := T
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 U := V0
% 1.89/2.25 W := V1
% 1.89/2.25 V0 := U
% 1.89/2.25 V1 := W
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (396) {G1,W18,D2,L2,V8,M2} R(18,17) { ! eqangle( X, Y, Z, T, U
% 1.89/2.25 , W, V0, V1 ), eqangle( T, Z, X, Y, V0, V1, U, W ) }.
% 1.89/2.25 parent0: (13012) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 1.89/2.25 ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := T
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 U := V0
% 1.89/2.25 W := V1
% 1.89/2.25 V0 := U
% 1.89/2.25 V1 := W
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13013) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (394) {G9,W8,D2,L2,V3,M2} F(393) { ! coll( X, Y, Z ), coll( Z,
% 1.89/2.25 Y, X ) }.
% 1.89/2.25 parent1[0]: (385) {G6,W8,D2,L2,V3,M2} R(380,1) { coll( X, Y, Y ), ! coll( Z
% 1.89/2.25 , Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (400) {G10,W8,D2,L2,V3,M2} R(394,385) { coll( X, X, Y ), !
% 1.89/2.25 coll( Z, X, Y ) }.
% 1.89/2.25 parent0: (13013) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13015) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 1.89/2.25 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.89/2.25 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 1.89/2.25 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 1.89/2.25 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 1.89/2.25 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 U := U
% 1.89/2.25 W := W
% 1.89/2.25 V0 := V0
% 1.89/2.25 V1 := V1
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := U
% 1.89/2.25 T := W
% 1.89/2.25 U := Z
% 1.89/2.25 W := T
% 1.89/2.25 V0 := V0
% 1.89/2.25 V1 := V1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (420) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 1.89/2.25 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 1.89/2.25 parent0: (13015) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 1.89/2.25 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := U
% 1.89/2.25 T := W
% 1.89/2.25 U := Z
% 1.89/2.25 W := T
% 1.89/2.25 V0 := V0
% 1.89/2.25 V1 := V1
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13016) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[1]: (400) {G10,W8,D2,L2,V3,M2} R(394,385) { coll( X, X, Y ), ! coll
% 1.89/2.25 ( Z, X, Y ) }.
% 1.89/2.25 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (446) {G11,W8,D2,L2,V3,M2} R(69,400) { ! midp( X, Y, Z ), coll
% 1.89/2.25 ( Y, Y, Z ) }.
% 1.89/2.25 parent0: (13016) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13017) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol25 )
% 1.89/2.25 }.
% 1.89/2.25 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 1.89/2.25 }.
% 1.89/2.25 parent1[0]: (307) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol20, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (460) {G2,W4,D2,L1,V0,M1} R(69,307) { coll( skol20, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 parent0: (13017) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13018) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (465) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 1.89/2.25 , X, Z ) }.
% 1.89/2.25 parent0: (13018) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13019) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol24 )
% 1.89/2.25 }.
% 1.89/2.25 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 1.89/2.25 }.
% 1.89/2.25 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol25, skol24 )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (466) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol20, skol25,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0: (13019) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13020) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol25 )
% 1.89/2.25 }.
% 1.89/2.25 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.89/2.25 }.
% 1.89/2.25 parent1[0]: (460) {G2,W4,D2,L1,V0,M1} R(69,307) { coll( skol20, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (490) {G3,W4,D2,L1,V0,M1} R(460,1) { coll( skol24, skol20,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 parent0: (13020) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13021) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol20, X ),
% 1.89/2.25 coll( skol25, X, skol24 ) }.
% 1.89/2.25 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.89/2.25 ), coll( Y, Z, X ) }.
% 1.89/2.25 parent1[0]: (490) {G3,W4,D2,L1,V0,M1} R(460,1) { coll( skol24, skol20,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := X
% 1.89/2.25 T := skol20
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (548) {G4,W8,D2,L2,V1,M2} R(490,2) { ! coll( skol24, skol20, X
% 1.89/2.25 ), coll( skol25, X, skol24 ) }.
% 1.89/2.25 parent0: (13021) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol20, X ), coll(
% 1.89/2.25 skol25, X, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13023) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol25, X ),
% 1.89/2.25 coll( skol24, X, skol20 ) }.
% 1.89/2.25 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.89/2.25 ), coll( Y, Z, X ) }.
% 1.89/2.25 parent1[0]: (466) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol20, skol25,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := X
% 1.89/2.25 T := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (550) {G2,W8,D2,L2,V1,M2} R(466,2) { ! coll( skol20, skol25, X
% 1.89/2.25 ), coll( skol24, X, skol20 ) }.
% 1.89/2.25 parent0: (13023) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol25, X ), coll(
% 1.89/2.25 skol24, X, skol20 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13025) {G2,W8,D2,L2,V1,M2} { coll( skol24, X, skol20 ), !
% 1.89/2.25 coll( X, skol20, skol25 ) }.
% 1.89/2.25 parent0[0]: (550) {G2,W8,D2,L2,V1,M2} R(466,2) { ! coll( skol20, skol25, X
% 1.89/2.25 ), coll( skol24, X, skol20 ) }.
% 1.89/2.25 parent1[1]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 1.89/2.25 Z, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := skol20
% 1.89/2.25 Z := skol25
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (616) {G3,W8,D2,L2,V1,M2} R(550,166) { coll( skol24, X, skol20
% 1.89/2.25 ), ! coll( X, skol20, skol25 ) }.
% 1.89/2.25 parent0: (13025) {G2,W8,D2,L2,V1,M2} { coll( skol24, X, skol20 ), ! coll(
% 1.89/2.25 X, skol20, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13027) {G2,W8,D2,L2,V1,M2} { coll( X, skol20, skol24 ), !
% 1.89/2.25 coll( X, skol20, skol25 ) }.
% 1.89/2.25 parent0[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 1.89/2.25 Z, X ) }.
% 1.89/2.25 parent1[0]: (616) {G3,W8,D2,L2,V1,M2} R(550,166) { coll( skol24, X, skol20
% 1.89/2.25 ), ! coll( X, skol20, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := X
% 1.89/2.25 Z := skol20
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (1243) {G4,W8,D2,L2,V1,M2} R(616,166) { ! coll( X, skol20,
% 1.89/2.25 skol25 ), coll( X, skol20, skol24 ) }.
% 1.89/2.25 parent0: (13027) {G2,W8,D2,L2,V1,M2} { coll( X, skol20, skol24 ), ! coll(
% 1.89/2.25 X, skol20, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13030) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol20, Y ), coll(
% 1.89/2.25 skol24, Y, X ), ! coll( X, skol20, skol25 ) }.
% 1.89/2.25 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.89/2.25 ), coll( Y, Z, X ) }.
% 1.89/2.25 parent1[1]: (1243) {G4,W8,D2,L2,V1,M2} R(616,166) { ! coll( X, skol20,
% 1.89/2.25 skol25 ), coll( X, skol20, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := Y
% 1.89/2.25 T := skol20
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (1484) {G5,W12,D2,L3,V2,M3} R(1243,2) { ! coll( X, skol20,
% 1.89/2.25 skol25 ), ! coll( X, skol20, Y ), coll( skol24, Y, X ) }.
% 1.89/2.25 parent0: (13030) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol20, Y ), coll(
% 1.89/2.25 skol24, Y, X ), ! coll( X, skol20, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 2
% 1.89/2.25 2 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (13034) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol20, skol25 ), coll(
% 1.89/2.25 skol24, skol25, X ) }.
% 1.89/2.25 parent0[0, 1]: (1484) {G5,W12,D2,L3,V2,M3} R(1243,2) { ! coll( X, skol20,
% 1.89/2.25 skol25 ), ! coll( X, skol20, Y ), coll( skol24, Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := skol25
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (1489) {G6,W8,D2,L2,V1,M2} F(1484) { ! coll( X, skol20, skol25
% 1.89/2.25 ), coll( skol24, skol25, X ) }.
% 1.89/2.25 parent0: (13034) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol20, skol25 ), coll(
% 1.89/2.25 skol24, skol25, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13035) {G2,W8,D2,L2,V1,M2} { coll( skol24, skol25, X ), !
% 1.89/2.25 midp( skol20, X, skol25 ) }.
% 1.89/2.25 parent0[0]: (1489) {G6,W8,D2,L2,V1,M2} F(1484) { ! coll( X, skol20, skol25
% 1.89/2.25 ), coll( skol24, skol25, X ) }.
% 1.89/2.25 parent1[1]: (465) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 1.89/2.25 , X, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := X
% 1.89/2.25 Z := skol25
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (1882) {G7,W8,D2,L2,V1,M2} R(1489,465) { coll( skol24, skol25
% 1.89/2.25 , X ), ! midp( skol20, X, skol25 ) }.
% 1.89/2.25 parent0: (13035) {G2,W8,D2,L2,V1,M2} { coll( skol24, skol25, X ), ! midp(
% 1.89/2.25 skol20, X, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13036) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol25 ), !
% 1.89/2.25 midp( skol20, X, skol25 ) }.
% 1.89/2.25 parent0[1]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 1.89/2.25 Z, X ) }.
% 1.89/2.25 parent1[0]: (1882) {G7,W8,D2,L2,V1,M2} R(1489,465) { coll( skol24, skol25,
% 1.89/2.25 X ), ! midp( skol20, X, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (1938) {G8,W8,D2,L2,V1,M2} R(1882,165) { ! midp( skol20, X,
% 1.89/2.25 skol25 ), coll( X, skol24, skol25 ) }.
% 1.89/2.25 parent0: (13036) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol25 ), ! midp(
% 1.89/2.25 skol20, X, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13037) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol25, skol20,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 1.89/2.25 Z ) }.
% 1.89/2.25 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol25, skol24 )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (2441) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol20, skol25,
% 1.89/2.25 skol20, skol24 ) }.
% 1.89/2.25 parent0: (13037) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol25, skol20,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13038) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol24 ), !
% 1.89/2.25 midp( skol20, skol24, X ) }.
% 1.89/2.25 parent0[0]: (548) {G4,W8,D2,L2,V1,M2} R(490,2) { ! coll( skol24, skol20, X
% 1.89/2.25 ), coll( skol25, X, skol24 ) }.
% 1.89/2.25 parent1[1]: (465) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 1.89/2.25 , X, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (3767) {G5,W8,D2,L2,V1,M2} R(548,465) { coll( skol25, X,
% 1.89/2.25 skol24 ), ! midp( skol20, skol24, X ) }.
% 1.89/2.25 parent0: (13038) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol24 ), ! midp(
% 1.89/2.25 skol20, skol24, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13039) {G1,W8,D2,L2,V1,M2} { coll( skol25, skol24, X ), !
% 1.89/2.25 midp( skol20, skol24, X ) }.
% 1.89/2.25 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.89/2.25 }.
% 1.89/2.25 parent1[0]: (3767) {G5,W8,D2,L2,V1,M2} R(548,465) { coll( skol25, X, skol24
% 1.89/2.25 ), ! midp( skol20, skol24, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := X
% 1.89/2.25 Z := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (3805) {G6,W8,D2,L2,V1,M2} R(3767,0) { ! midp( skol20, skol24
% 1.89/2.25 , X ), coll( skol25, skol24, X ) }.
% 1.89/2.25 parent0: (13039) {G1,W8,D2,L2,V1,M2} { coll( skol25, skol24, X ), ! midp(
% 1.89/2.25 skol20, skol24, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 1
% 1.89/2.25 1 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13040) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol28, skol23 ),
% 1.89/2.25 skol28, skol28, skol23 ) }.
% 1.89/2.25 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 1.89/2.25 skol12( X, Y ), X, X, Y ) }.
% 1.89/2.25 parent1[0]: (122) {G0,W5,D2,L1,V0,M1} I { circle( skol23, skol28, skol22,
% 1.89/2.25 skol30 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol28
% 1.89/2.25 Y := skol23
% 1.89/2.25 Z := skol22
% 1.89/2.25 T := skol30
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (4685) {G1,W7,D3,L1,V0,M1} R(100,122) { perp( skol12( skol28,
% 1.89/2.25 skol23 ), skol28, skol28, skol23 ) }.
% 1.89/2.25 parent0: (13040) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol28, skol23 ),
% 1.89/2.25 skol28, skol28, skol23 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13041) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (130) {G2,W10,D2,L2,V3,M2} F(129) { ! cong( X, Y, X, Z ),
% 1.89/2.25 cyclic( Y, Z, Z, Z ) }.
% 1.89/2.25 parent1[0]: (2441) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol20, skol25,
% 1.89/2.25 skol20, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7078) {G3,W5,D2,L1,V0,M1} R(130,2441) { cyclic( skol25,
% 1.89/2.25 skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0: (13041) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13042) {G1,W5,D2,L1,V0,M1} { cyclic( skol24, skol25, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 1.89/2.25 , X, Z, T ) }.
% 1.89/2.25 parent1[0]: (7078) {G3,W5,D2,L1,V0,M1} R(130,2441) { cyclic( skol25, skol24
% 1.89/2.25 , skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7095) {G4,W5,D2,L1,V0,M1} R(7078,15) { cyclic( skol24, skol25
% 1.89/2.25 , skol24, skol24 ) }.
% 1.89/2.25 parent0: (13042) {G1,W5,D2,L1,V0,M1} { cyclic( skol24, skol25, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13043) {G1,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol25,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 1.89/2.25 , Z, Y, T ) }.
% 1.89/2.25 parent1[0]: (7095) {G4,W5,D2,L1,V0,M1} R(7078,15) { cyclic( skol24, skol25
% 1.89/2.25 , skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7100) {G5,W5,D2,L1,V0,M1} R(7095,14) { cyclic( skol24, skol24
% 1.89/2.25 , skol25, skol24 ) }.
% 1.89/2.25 parent0: (13043) {G1,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol25,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13044) {G1,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 1.89/2.25 , Y, T, Z ) }.
% 1.89/2.25 parent1[0]: (7100) {G5,W5,D2,L1,V0,M1} R(7095,14) { cyclic( skol24, skol24
% 1.89/2.25 , skol25, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol25
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7103) {G6,W5,D2,L1,V0,M1} R(7100,13) { cyclic( skol24, skol24
% 1.89/2.25 , skol24, skol25 ) }.
% 1.89/2.25 parent0: (13044) {G1,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13045) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol25,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 parent0[0]: (131) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 1.89/2.25 cyclic( Y, Z, T, T ) }.
% 1.89/2.25 parent1[0]: (7103) {G6,W5,D2,L1,V0,M1} R(7100,13) { cyclic( skol24, skol24
% 1.89/2.25 , skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7110) {G7,W5,D2,L1,V0,M1} R(131,7103) { cyclic( skol24,
% 1.89/2.25 skol24, skol25, skol25 ) }.
% 1.89/2.25 parent0: (13045) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol25,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13046) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (131) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 1.89/2.25 cyclic( Y, Z, T, T ) }.
% 1.89/2.25 parent1[0]: (7078) {G3,W5,D2,L1,V0,M1} R(130,2441) { cyclic( skol25, skol24
% 1.89/2.25 , skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7111) {G4,W5,D2,L1,V0,M1} R(131,7078) { cyclic( skol24,
% 1.89/2.25 skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0: (13046) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13047) {G1,W5,D2,L1,V0,M1} { cyclic( skol24, skol25, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 1.89/2.25 , Z, Y, T ) }.
% 1.89/2.25 parent1[0]: (7110) {G7,W5,D2,L1,V0,M1} R(131,7103) { cyclic( skol24, skol24
% 1.89/2.25 , skol25, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol25
% 1.89/2.25 T := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7124) {G8,W5,D2,L1,V0,M1} R(7110,14) { cyclic( skol24, skol25
% 1.89/2.25 , skol24, skol25 ) }.
% 1.89/2.25 parent0: (13047) {G1,W5,D2,L1,V0,M1} { cyclic( skol24, skol25, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13048) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol24, skol25,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 parent0[0]: (131) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 1.89/2.25 cyclic( Y, Z, T, T ) }.
% 1.89/2.25 parent1[0]: (7124) {G8,W5,D2,L1,V0,M1} R(7110,14) { cyclic( skol24, skol25
% 1.89/2.25 , skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7125) {G9,W5,D2,L1,V0,M1} R(7124,131) { cyclic( skol25,
% 1.89/2.25 skol24, skol25, skol25 ) }.
% 1.89/2.25 parent0: (13048) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol24, skol25,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13049) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 1.89/2.25 , Z, Y, T ) }.
% 1.89/2.25 parent1[0]: (7125) {G9,W5,D2,L1,V0,M1} R(7124,131) { cyclic( skol25, skol24
% 1.89/2.25 , skol25, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol25
% 1.89/2.25 T := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7135) {G10,W5,D2,L1,V0,M1} R(7125,14) { cyclic( skol25,
% 1.89/2.25 skol25, skol24, skol25 ) }.
% 1.89/2.25 parent0: (13049) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13050) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol25,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 1.89/2.25 , Y, T, Z ) }.
% 1.89/2.25 parent1[0]: (7135) {G10,W5,D2,L1,V0,M1} R(7125,14) { cyclic( skol25, skol25
% 1.89/2.25 , skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7138) {G11,W5,D2,L1,V0,M1} R(7135,13) { cyclic( skol25,
% 1.89/2.25 skol25, skol25, skol24 ) }.
% 1.89/2.25 parent0: (13050) {G1,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol25,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13051) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (131) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 1.89/2.25 cyclic( Y, Z, T, T ) }.
% 1.89/2.25 parent1[0]: (7138) {G11,W5,D2,L1,V0,M1} R(7135,13) { cyclic( skol25, skol25
% 1.89/2.25 , skol25, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol25
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7141) {G12,W5,D2,L1,V0,M1} R(7138,131) { cyclic( skol25,
% 1.89/2.25 skol25, skol24, skol24 ) }.
% 1.89/2.25 parent0: (13051) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13052) {G1,W5,D2,L1,V0,M1} { para( skol25, skol25, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (139) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 1.89/2.25 , Z, Z ) }.
% 1.89/2.25 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol25, skol24 )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7323) {G2,W5,D2,L1,V0,M1} R(139,116) { para( skol25, skol25,
% 1.89/2.25 skol24, skol24 ) }.
% 1.89/2.25 parent0: (13052) {G1,W5,D2,L1,V0,M1} { para( skol25, skol25, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13053) {G1,W14,D2,L2,V0,M2} { ! cyclic( skol25, skol25,
% 1.89/2.25 skol24, skol24 ), eqangle( skol25, skol24, skol24, skol24, skol24, skol24
% 1.89/2.25 , skol24, skol25 ) }.
% 1.89/2.25 parent0[1]: (54) {G0,W19,D2,L3,V4,M3} I { ! cyclic( X, Y, Z, T ), ! para( X
% 1.89/2.25 , Y, Z, T ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 1.89/2.25 parent1[0]: (7323) {G2,W5,D2,L1,V0,M1} R(139,116) { para( skol25, skol25,
% 1.89/2.25 skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := skol25
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13054) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol24, skol24
% 1.89/2.25 , skol24, skol24, skol24, skol24, skol25 ) }.
% 1.89/2.25 parent0[0]: (13053) {G1,W14,D2,L2,V0,M2} { ! cyclic( skol25, skol25,
% 1.89/2.25 skol24, skol24 ), eqangle( skol25, skol24, skol24, skol24, skol24, skol24
% 1.89/2.25 , skol24, skol25 ) }.
% 1.89/2.25 parent1[0]: (7141) {G12,W5,D2,L1,V0,M1} R(7138,131) { cyclic( skol25,
% 1.89/2.25 skol25, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7335) {G13,W9,D2,L1,V0,M1} R(7323,54);r(7141) { eqangle(
% 1.89/2.25 skol25, skol24, skol24, skol24, skol24, skol24, skol24, skol25 ) }.
% 1.89/2.25 parent0: (13054) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol24, skol24,
% 1.89/2.25 skol24, skol24, skol24, skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13055) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol24, skol25 ), !
% 1.89/2.25 coll( skol24, skol24, skol25 ), midp( skol7( skol24, Y ), skol24, Y ), !
% 1.89/2.25 midp( skol20, skol24, skol25 ) }.
% 1.89/2.25 parent0[2]: (146) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 1.89/2.25 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 1.89/2.25 parent1[1]: (3805) {G6,W8,D2,L2,V1,M2} R(3767,0) { ! midp( skol20, skol24,
% 1.89/2.25 X ), coll( skol25, skol24, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol25
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := skol25
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (13056) {G2,W14,D3,L3,V1,M3} { ! midp( skol20, skol24, skol25 ), !
% 1.89/2.25 coll( skol24, skol24, skol25 ), midp( skol7( skol24, X ), skol24, X )
% 1.89/2.25 }.
% 1.89/2.25 parent0[0, 3]: (13055) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol24, skol25 )
% 1.89/2.25 , ! coll( skol24, skol24, skol25 ), midp( skol7( skol24, Y ), skol24, Y )
% 1.89/2.25 , ! midp( skol20, skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13057) {G3,W14,D3,L3,V1,M3} { ! midp( skol20, skol24, skol25
% 1.89/2.25 ), midp( skol7( skol24, X ), skol24, X ), ! midp( skol20, skol24, skol25
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[1]: (13056) {G2,W14,D3,L3,V1,M3} { ! midp( skol20, skol24, skol25
% 1.89/2.25 ), ! coll( skol24, skol24, skol25 ), midp( skol7( skol24, X ), skol24, X
% 1.89/2.25 ) }.
% 1.89/2.25 parent1[1]: (1938) {G8,W8,D2,L2,V1,M2} R(1882,165) { ! midp( skol20, X,
% 1.89/2.25 skol25 ), coll( X, skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := skol24
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7705) {G9,W14,D3,L3,V2,M3} R(146,3805);r(1938) { ! midp( X,
% 1.89/2.25 skol24, skol25 ), midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol20,
% 1.89/2.25 skol24, skol25 ) }.
% 1.89/2.25 parent0: (13057) {G3,W14,D3,L3,V1,M3} { ! midp( skol20, skol24, skol25 ),
% 1.89/2.25 midp( skol7( skol24, X ), skol24, X ), ! midp( skol20, skol24, skol25 )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 2
% 1.89/2.25 1 ==> 1
% 1.89/2.25 2 ==> 2
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (13059) {G9,W10,D3,L2,V1,M2} { ! midp( skol20, skol24, skol25 ),
% 1.89/2.25 midp( skol7( skol24, X ), skol24, X ) }.
% 1.89/2.25 parent0[0, 2]: (7705) {G9,W14,D3,L3,V2,M3} R(146,3805);r(1938) { ! midp( X
% 1.89/2.25 , skol24, skol25 ), midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol20
% 1.89/2.25 , skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13060) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol24, X ), skol24
% 1.89/2.25 , X ) }.
% 1.89/2.25 parent0[0]: (13059) {G9,W10,D3,L2,V1,M2} { ! midp( skol20, skol24, skol25
% 1.89/2.25 ), midp( skol7( skol24, X ), skol24, X ) }.
% 1.89/2.25 parent1[0]: (307) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol20, skol24,
% 1.89/2.25 skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7834) {G10,W6,D3,L1,V1,M1} F(7705);r(307) { midp( skol7(
% 1.89/2.25 skol24, X ), skol24, X ) }.
% 1.89/2.25 parent0: (13060) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol24, X ), skol24, X
% 1.89/2.25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13061) {G2,W5,D2,L1,V1,M1} { para( skol24, skol24, X, X ) }.
% 1.89/2.25 parent0[0]: (139) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 1.89/2.25 , Z, Z ) }.
% 1.89/2.25 parent1[0]: (7834) {G10,W6,D3,L1,V1,M1} F(7705);r(307) { midp( skol7(
% 1.89/2.25 skol24, X ), skol24, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol7( skol24, X )
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7839) {G11,W5,D2,L1,V1,M1} R(7834,139) { para( skol24, skol24
% 1.89/2.25 , X, X ) }.
% 1.89/2.25 parent0: (13061) {G2,W5,D2,L1,V1,M1} { para( skol24, skol24, X, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13062) {G11,W4,D2,L1,V1,M1} { coll( skol24, skol24, X ) }.
% 1.89/2.25 parent0[0]: (446) {G11,W8,D2,L2,V3,M2} R(69,400) { ! midp( X, Y, Z ), coll
% 1.89/2.25 ( Y, Y, Z ) }.
% 1.89/2.25 parent1[0]: (7834) {G10,W6,D3,L1,V1,M1} F(7705);r(307) { midp( skol7(
% 1.89/2.25 skol24, X ), skol24, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol7( skol24, X )
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7864) {G12,W4,D2,L1,V1,M1} R(7834,446) { coll( skol24, skol24
% 1.89/2.25 , X ) }.
% 1.89/2.25 parent0: (13062) {G11,W4,D2,L1,V1,M1} { coll( skol24, skol24, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13063) {G1,W8,D2,L2,V2,M2} { ! coll( skol24, skol24, Y ),
% 1.89/2.25 coll( X, Y, skol24 ) }.
% 1.89/2.25 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.89/2.25 ), coll( Y, Z, X ) }.
% 1.89/2.25 parent1[0]: (7864) {G12,W4,D2,L1,V1,M1} R(7834,446) { coll( skol24, skol24
% 1.89/2.25 , X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Y
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13065) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol24 ) }.
% 1.89/2.25 parent0[0]: (13063) {G1,W8,D2,L2,V2,M2} { ! coll( skol24, skol24, Y ),
% 1.89/2.25 coll( X, Y, skol24 ) }.
% 1.89/2.25 parent1[0]: (7864) {G12,W4,D2,L1,V1,M1} R(7834,446) { coll( skol24, skol24
% 1.89/2.25 , X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7923) {G13,W4,D2,L1,V2,M1} R(7864,2);r(7864) { coll( Y, X,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0: (13065) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13066) {G2,W4,D2,L1,V2,M1} { coll( Y, skol24, X ) }.
% 1.89/2.25 parent0[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 1.89/2.25 Z, X ) }.
% 1.89/2.25 parent1[0]: (7923) {G13,W4,D2,L1,V2,M1} R(7864,2);r(7864) { coll( Y, X,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7932) {G14,W4,D2,L1,V2,M1} R(7923,166) { coll( X, skol24, Y )
% 1.89/2.25 }.
% 1.89/2.25 parent0: (13066) {G2,W4,D2,L1,V2,M1} { coll( Y, skol24, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13067) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol24, Z ), coll( Y
% 1.89/2.25 , Z, X ) }.
% 1.89/2.25 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.89/2.25 ), coll( Y, Z, X ) }.
% 1.89/2.25 parent1[0]: (7932) {G14,W4,D2,L1,V2,M1} R(7923,166) { coll( X, skol24, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13069) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 1.89/2.25 parent0[0]: (13067) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol24, Z ), coll( Y
% 1.89/2.25 , Z, X ) }.
% 1.89/2.25 parent1[0]: (7932) {G14,W4,D2,L1,V2,M1} R(7923,166) { coll( X, skol24, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7945) {G15,W4,D2,L1,V3,M1} R(7932,2);r(7932) { coll( Z, Y, X
% 1.89/2.25 ) }.
% 1.89/2.25 parent0: (13069) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13070) {G1,W5,D2,L1,V1,M1} { para( X, X, skol24, skol24 ) }.
% 1.89/2.25 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (7839) {G11,W5,D2,L1,V1,M1} R(7834,139) { para( skol24, skol24
% 1.89/2.25 , X, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := X
% 1.89/2.25 T := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7963) {G12,W5,D2,L1,V1,M1} R(7839,4) { para( X, X, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0: (13070) {G1,W5,D2,L1,V1,M1} { para( X, X, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13071) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol24,
% 1.89/2.25 skol24, Y, Z ) }.
% 1.89/2.25 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 1.89/2.25 , Y, U, W, Z, T, U, W ) }.
% 1.89/2.25 parent1[0]: (7963) {G12,W5,D2,L1,V1,M1} R(7839,4) { para( X, X, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := X
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol24
% 1.89/2.25 U := Y
% 1.89/2.25 W := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (7967) {G13,W9,D2,L1,V3,M1} R(7963,39) { eqangle( X, X, Y, Z,
% 1.89/2.25 skol24, skol24, Y, Z ) }.
% 1.89/2.25 parent0: (13071) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol24, skol24
% 1.89/2.25 , Y, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13072) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol23, skol12(
% 1.89/2.25 skol28, skol23 ), skol28 ) }.
% 1.89/2.25 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (4685) {G1,W7,D3,L1,V0,M1} R(100,122) { perp( skol12( skol28,
% 1.89/2.25 skol23 ), skol28, skol28, skol23 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol12( skol28, skol23 )
% 1.89/2.25 Y := skol28
% 1.89/2.25 Z := skol28
% 1.89/2.25 T := skol23
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8164) {G2,W7,D3,L1,V0,M1} R(4685,7) { perp( skol28, skol23,
% 1.89/2.25 skol12( skol28, skol23 ), skol28 ) }.
% 1.89/2.25 parent0: (13072) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol23, skol12(
% 1.89/2.25 skol28, skol23 ), skol28 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13073) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol23, skol28,
% 1.89/2.25 skol12( skol28, skol23 ) ) }.
% 1.89/2.25 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 1.89/2.25 T, Z ) }.
% 1.89/2.25 parent1[0]: (8164) {G2,W7,D3,L1,V0,M1} R(4685,7) { perp( skol28, skol23,
% 1.89/2.25 skol12( skol28, skol23 ), skol28 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol28
% 1.89/2.25 Y := skol23
% 1.89/2.25 Z := skol12( skol28, skol23 )
% 1.89/2.25 T := skol28
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8173) {G3,W7,D3,L1,V0,M1} R(8164,6) { perp( skol28, skol23,
% 1.89/2.25 skol28, skol12( skol28, skol23 ) ) }.
% 1.89/2.25 parent0: (13073) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol23, skol28,
% 1.89/2.25 skol12( skol28, skol23 ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13074) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol12( skol28,
% 1.89/2.25 skol23 ), skol28, skol23 ) }.
% 1.89/2.25 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (8173) {G3,W7,D3,L1,V0,M1} R(8164,6) { perp( skol28, skol23,
% 1.89/2.25 skol28, skol12( skol28, skol23 ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol28
% 1.89/2.25 Y := skol23
% 1.89/2.25 Z := skol28
% 1.89/2.25 T := skol12( skol28, skol23 )
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8181) {G4,W7,D3,L1,V0,M1} R(8173,7) { perp( skol28, skol12(
% 1.89/2.25 skol28, skol23 ), skol28, skol23 ) }.
% 1.89/2.25 parent0: (13074) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol12( skol28,
% 1.89/2.25 skol23 ), skol28, skol23 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13075) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol12( skol28,
% 1.89/2.25 skol23 ), skol23, skol28 ) }.
% 1.89/2.25 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 1.89/2.25 T, Z ) }.
% 1.89/2.25 parent1[0]: (8181) {G4,W7,D3,L1,V0,M1} R(8173,7) { perp( skol28, skol12(
% 1.89/2.25 skol28, skol23 ), skol28, skol23 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol28
% 1.89/2.25 Y := skol12( skol28, skol23 )
% 1.89/2.25 Z := skol28
% 1.89/2.25 T := skol23
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8190) {G5,W7,D3,L1,V0,M1} R(8181,6) { perp( skol28, skol12(
% 1.89/2.25 skol28, skol23 ), skol23, skol28 ) }.
% 1.89/2.25 parent0: (13075) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol12( skol28,
% 1.89/2.25 skol23 ), skol23, skol28 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13076) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol28, skol28,
% 1.89/2.25 skol12( skol28, skol23 ) ) }.
% 1.89/2.25 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (8190) {G5,W7,D3,L1,V0,M1} R(8181,6) { perp( skol28, skol12(
% 1.89/2.25 skol28, skol23 ), skol23, skol28 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol28
% 1.89/2.25 Y := skol12( skol28, skol23 )
% 1.89/2.25 Z := skol23
% 1.89/2.25 T := skol28
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8199) {G6,W7,D3,L1,V0,M1} R(8190,7) { perp( skol23, skol28,
% 1.89/2.25 skol28, skol12( skol28, skol23 ) ) }.
% 1.89/2.25 parent0: (13076) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol28, skol28,
% 1.89/2.25 skol12( skol28, skol23 ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13077) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol28, skol23
% 1.89/2.25 ), X, Y ), perp( skol16( skol23, X, Y ), skol23, X, Y ) }.
% 1.89/2.25 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 1.89/2.25 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.25 parent1[0]: (8199) {G6,W7,D3,L1,V0,M1} R(8190,7) { perp( skol23, skol28,
% 1.89/2.25 skol28, skol12( skol28, skol23 ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol23
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Y
% 1.89/2.25 T := skol12( skol28, skol23 )
% 1.89/2.25 U := skol28
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13078) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol23, X, Y ),
% 1.89/2.25 skol23, X, Y ) }.
% 1.89/2.25 parent0[0]: (13077) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol28, skol23
% 1.89/2.25 ), X, Y ), perp( skol16( skol23, X, Y ), skol23, X, Y ) }.
% 1.89/2.25 parent1[0]: (7945) {G15,W4,D2,L1,V3,M1} R(7932,2);r(7932) { coll( Z, Y, X )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 Z := skol12( skol28, skol23 )
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8201) {G16,W8,D3,L1,V2,M1} R(8199,110);r(7945) { perp( skol16
% 1.89/2.25 ( skol23, X, Y ), skol23, X, Y ) }.
% 1.89/2.25 parent0: (13078) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol23, X, Y ),
% 1.89/2.25 skol23, X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13079) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol23, X, Y
% 1.89/2.25 ), skol23 ) }.
% 1.89/2.25 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (8201) {G16,W8,D3,L1,V2,M1} R(8199,110);r(7945) { perp( skol16
% 1.89/2.25 ( skol23, X, Y ), skol23, X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol16( skol23, X, Y )
% 1.89/2.25 Y := skol23
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8238) {G17,W8,D3,L1,V2,M1} R(8201,7) { perp( X, Y, skol16(
% 1.89/2.25 skol23, X, Y ), skol23 ) }.
% 1.89/2.25 parent0: (13079) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol23, X, Y )
% 1.89/2.25 , skol23 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13080) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol23, skol16(
% 1.89/2.25 skol23, X, Y ) ) }.
% 1.89/2.25 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 1.89/2.25 T, Z ) }.
% 1.89/2.25 parent1[0]: (8238) {G17,W8,D3,L1,V2,M1} R(8201,7) { perp( X, Y, skol16(
% 1.89/2.25 skol23, X, Y ), skol23 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := skol16( skol23, X, Y )
% 1.89/2.25 T := skol23
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8248) {G18,W8,D3,L1,V2,M1} R(8238,6) { perp( X, Y, skol23,
% 1.89/2.25 skol16( skol23, X, Y ) ) }.
% 1.89/2.25 parent0: (13080) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol23, skol16( skol23
% 1.89/2.25 , X, Y ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13081) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol23, X,
% 1.89/2.25 skol23 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.25 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 1.89/2.25 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.25 parent1[0]: (8248) {G18,W8,D3,L1,V2,M1} R(8238,6) { perp( X, Y, skol23,
% 1.89/2.25 skol16( skol23, X, Y ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := skol16( skol23, X, skol23 )
% 1.89/2.25 U := skol23
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := skol23
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13082) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (13081) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol23, X,
% 1.89/2.25 skol23 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.25 parent1[0]: (7945) {G15,W4,D2,L1,V3,M1} R(7932,2);r(7932) { coll( Z, Y, X )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := skol16( skol23, X, skol23 )
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8252) {G19,W8,D3,L1,V3,M1} R(8248,110);r(7945) { perp( skol16
% 1.89/2.25 ( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.25 parent0: (13082) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13083) {G1,W8,D3,L1,V3,M1} { perp( Y, Z, skol16( X, Y, Z ), X
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (8252) {G19,W8,D3,L1,V3,M1} R(8248,110);r(7945) { perp( skol16
% 1.89/2.25 ( X, Y, Z ), X, Y, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol16( X, Y, Z )
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Y
% 1.89/2.25 T := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8271) {G20,W8,D3,L1,V3,M1} R(8252,7) { perp( X, Y, skol16( Z
% 1.89/2.25 , X, Y ), Z ) }.
% 1.89/2.25 parent0: (13083) {G1,W8,D3,L1,V3,M1} { perp( Y, Z, skol16( X, Y, Z ), X )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13084) {G1,W8,D3,L1,V3,M1} { perp( X, Y, Z, skol16( Z, X, Y )
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 1.89/2.25 T, Z ) }.
% 1.89/2.25 parent1[0]: (8271) {G20,W8,D3,L1,V3,M1} R(8252,7) { perp( X, Y, skol16( Z,
% 1.89/2.25 X, Y ), Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := skol16( Z, X, Y )
% 1.89/2.25 T := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8281) {G21,W8,D3,L1,V3,M1} R(8271,6) { perp( X, Y, Z, skol16
% 1.89/2.25 ( Z, X, Y ) ) }.
% 1.89/2.25 parent0: (13084) {G1,W8,D3,L1,V3,M1} { perp( X, Y, Z, skol16( Z, X, Y ) )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13085) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (8281) {G21,W8,D3,L1,V3,M1} R(8271,6) { perp( X, Y, Z, skol16(
% 1.89/2.25 Z, X, Y ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := skol16( Z, X, Y )
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8309) {G22,W8,D3,L1,V3,M1} R(8281,7) { perp( X, skol16( X, Y
% 1.89/2.25 , Z ), Y, Z ) }.
% 1.89/2.25 parent0: (13085) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := Z
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13086) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (152) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 1.89/2.25 X, skol10( X, X, Z ), Z, X ) }.
% 1.89/2.25 parent1[0]: (8309) {G22,W8,D3,L1,V3,M1} R(8281,7) { perp( X, skol16( X, Y,
% 1.89/2.25 Z ), Y, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := skol16( X, X, Y )
% 1.89/2.25 Z := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8312) {G23,W8,D3,L1,V2,M1} R(8309,152) { perp( X, skol10( X,
% 1.89/2.25 X, Y ), Y, X ) }.
% 1.89/2.25 parent0: (13086) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13087) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y )
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (8312) {G23,W8,D3,L1,V2,M1} R(8309,152) { perp( X, skol10( X, X
% 1.89/2.25 , Y ), Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := skol10( X, X, Y )
% 1.89/2.25 Z := Y
% 1.89/2.25 T := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8436) {G24,W8,D3,L1,V2,M1} R(8312,7) { perp( X, Y, Y, skol10
% 1.89/2.25 ( Y, Y, X ) ) }.
% 1.89/2.25 parent0: (13087) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y ) )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13088) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol10( Y, Y, X ), Y
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 1.89/2.25 T, Z ) }.
% 1.89/2.25 parent1[0]: (8436) {G24,W8,D3,L1,V2,M1} R(8312,7) { perp( X, Y, Y, skol10(
% 1.89/2.25 Y, Y, X ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Y
% 1.89/2.25 T := skol10( Y, Y, X )
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8444) {G25,W8,D3,L1,V2,M1} R(8436,6) { perp( X, Y, skol10( Y
% 1.89/2.25 , Y, X ), Y ) }.
% 1.89/2.25 parent0: (13088) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol10( Y, Y, X ), Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13089) {G1,W8,D3,L1,V2,M1} { perp( skol10( Y, Y, X ), Y, X, Y
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (8444) {G25,W8,D3,L1,V2,M1} R(8436,6) { perp( X, Y, skol10( Y,
% 1.89/2.25 Y, X ), Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := skol10( Y, Y, X )
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8453) {G26,W8,D3,L1,V2,M1} R(8444,7) { perp( skol10( X, X, Y
% 1.89/2.25 ), X, Y, X ) }.
% 1.89/2.25 parent0: (13089) {G1,W8,D3,L1,V2,M1} { perp( skol10( Y, Y, X ), Y, X, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13090) {G1,W8,D3,L1,V2,M1} { perp( skol10( X, X, Y ), X, X, Y
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 1.89/2.25 T, Z ) }.
% 1.89/2.25 parent1[0]: (8453) {G26,W8,D3,L1,V2,M1} R(8444,7) { perp( skol10( X, X, Y )
% 1.89/2.25 , X, Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol10( X, X, Y )
% 1.89/2.25 Y := X
% 1.89/2.25 Z := Y
% 1.89/2.25 T := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8461) {G27,W8,D3,L1,V2,M1} R(8453,6) { perp( skol10( X, X, Y
% 1.89/2.25 ), X, X, Y ) }.
% 1.89/2.25 parent0: (13090) {G1,W8,D3,L1,V2,M1} { perp( skol10( X, X, Y ), X, X, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13091) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol10( X, X, Y ), X
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 1.89/2.25 X, Y ) }.
% 1.89/2.25 parent1[0]: (8461) {G27,W8,D3,L1,V2,M1} R(8453,6) { perp( skol10( X, X, Y )
% 1.89/2.25 , X, X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol10( X, X, Y )
% 1.89/2.25 Y := X
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8467) {G28,W8,D3,L1,V2,M1} R(8461,7) { perp( X, Y, skol10( X
% 1.89/2.25 , X, Y ), X ) }.
% 1.89/2.25 parent0: (13091) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol10( X, X, Y ), X )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13092) {G1,W8,D3,L1,V2,M1} { perp( X, Y, X, skol10( X, X, Y )
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 1.89/2.25 T, Z ) }.
% 1.89/2.25 parent1[0]: (8467) {G28,W8,D3,L1,V2,M1} R(8461,7) { perp( X, Y, skol10( X,
% 1.89/2.25 X, Y ), X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := skol10( X, X, Y )
% 1.89/2.25 T := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8472) {G29,W8,D3,L1,V2,M1} R(8467,6) { perp( X, Y, X, skol10
% 1.89/2.25 ( X, X, Y ) ) }.
% 1.89/2.25 parent0: (13092) {G1,W8,D3,L1,V2,M1} { perp( X, Y, X, skol10( X, X, Y ) )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13093) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 1.89/2.25 parent0[0]: (281) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para
% 1.89/2.25 ( X, Y, X, Y ) }.
% 1.89/2.25 parent1[0]: (8472) {G29,W8,D3,L1,V2,M1} R(8467,6) { perp( X, Y, X, skol10(
% 1.89/2.25 X, X, Y ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := X
% 1.89/2.25 T := skol10( X, X, Y )
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8985) {G30,W5,D2,L1,V2,M1} R(281,8472) { para( X, Y, X, Y )
% 1.89/2.25 }.
% 1.89/2.25 parent0: (13093) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13094) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[1]: (140) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 1.89/2.25 , T, Z, T ), midp( X, T, T ) }.
% 1.89/2.25 parent1[0]: (8985) {G30,W5,D2,L1,V2,M1} R(281,8472) { para( X, Y, X, Y )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Y
% 1.89/2.25 T := Z
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := Z
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (8989) {G31,W8,D2,L2,V3,M2} R(8985,140) { ! midp( X, Y, Y ),
% 1.89/2.25 midp( X, Z, Z ) }.
% 1.89/2.25 parent0: (13094) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13095) {G2,W8,D3,L1,V0,M1} { ! para( skol20, skol22, skol23,
% 1.89/2.25 skol10( skol23, skol23, skol22 ) ) }.
% 1.89/2.25 parent0[1]: (298) {G1,W10,D2,L2,V2,M2} R(9,123) { ! para( skol20, skol22, X
% 1.89/2.25 , Y ), ! perp( X, Y, skol22, skol23 ) }.
% 1.89/2.25 parent1[0]: (8312) {G23,W8,D3,L1,V2,M1} R(8309,152) { perp( X, skol10( X, X
% 1.89/2.25 , Y ), Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol23
% 1.89/2.25 Y := skol10( skol23, skol23, skol22 )
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := skol23
% 1.89/2.25 Y := skol22
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (9548) {G24,W8,D3,L1,V0,M1} R(298,8312) { ! para( skol20,
% 1.89/2.25 skol22, skol23, skol10( skol23, skol23, skol22 ) ) }.
% 1.89/2.25 parent0: (13095) {G2,W8,D3,L1,V0,M1} { ! para( skol20, skol22, skol23,
% 1.89/2.25 skol10( skol23, skol23, skol22 ) ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13096) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol24, skol24,
% 1.89/2.25 skol24, skol24 ), ! cyclic( skol24, skol24, skol24, skol24 ), cong(
% 1.89/2.25 skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0[2]: (134) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 1.89/2.25 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 1.89/2.25 , U ) }.
% 1.89/2.25 parent1[0]: (7967) {G13,W9,D2,L1,V3,M1} R(7963,39) { eqangle( X, X, Y, Z,
% 1.89/2.25 skol24, skol24, Y, Z ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol24
% 1.89/2.25 U := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol24
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (13097) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol24, skol24,
% 1.89/2.25 skol24 ), cong( skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0[0, 1]: (13096) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol24, skol24,
% 1.89/2.25 skol24, skol24 ), ! cyclic( skol24, skol24, skol24, skol24 ), cong(
% 1.89/2.25 skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13099) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (13097) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol24,
% 1.89/2.25 skol24, skol24 ), cong( skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent1[0]: (7111) {G4,W5,D2,L1,V0,M1} R(131,7078) { cyclic( skol24, skol24
% 1.89/2.25 , skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (10947) {G14,W5,D2,L1,V0,M1} R(7967,134);f;r(7111) { cong(
% 1.89/2.25 skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0: (13099) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13100) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol24,
% 1.89/2.25 skol24, skol24 ), perp( skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0[0]: (137) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 1.89/2.25 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 1.89/2.25 parent1[0]: (10947) {G14,W5,D2,L1,V0,M1} R(7967,134);f;r(7111) { cong(
% 1.89/2.25 skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13101) {G3,W5,D2,L1,V0,M1} { perp( skol24, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (13100) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol24,
% 1.89/2.25 skol24, skol24 ), perp( skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent1[0]: (7111) {G4,W5,D2,L1,V0,M1} R(131,7078) { cyclic( skol24, skol24
% 1.89/2.25 , skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (10958) {G15,W5,D2,L1,V0,M1} R(10947,137);r(7111) { perp(
% 1.89/2.25 skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0: (13101) {G3,W5,D2,L1,V0,M1} { perp( skol24, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13103) {G2,W10,D2,L2,V2,M2} { ! perp( skol24, skol24, X, Y )
% 1.89/2.25 , para( skol24, skol24, X, Y ) }.
% 1.89/2.25 parent0[2]: (274) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 1.89/2.25 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 1.89/2.25 parent1[0]: (10958) {G15,W5,D2,L1,V0,M1} R(10947,137);r(7111) { perp(
% 1.89/2.25 skol24, skol24, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 U := skol24
% 1.89/2.25 W := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (10995) {G16,W10,D2,L2,V2,M2} R(10958,274) { ! perp( skol24,
% 1.89/2.25 skol24, X, Y ), para( skol24, skol24, X, Y ) }.
% 1.89/2.25 parent0: (13103) {G2,W10,D2,L2,V2,M2} { ! perp( skol24, skol24, X, Y ),
% 1.89/2.25 para( skol24, skol24, X, Y ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13104) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol24, skol24
% 1.89/2.25 , skol25, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0[0]: (420) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 1.89/2.25 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 1.89/2.25 parent1[0]: (7335) {G13,W9,D2,L1,V0,M1} R(7323,54);r(7141) { eqangle(
% 1.89/2.25 skol25, skol24, skol24, skol24, skol24, skol24, skol24, skol25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol24
% 1.89/2.25 U := skol24
% 1.89/2.25 W := skol24
% 1.89/2.25 V0 := skol24
% 1.89/2.25 V1 := skol25
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (11793) {G14,W9,D2,L1,V0,M1} R(7335,420) { eqangle( skol24,
% 1.89/2.25 skol24, skol24, skol25, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0: (13104) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol24, skol24,
% 1.89/2.25 skol25, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13105) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol24, skol24
% 1.89/2.25 , skol24, skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 parent0[0]: (396) {G1,W18,D2,L2,V8,M2} R(18,17) { ! eqangle( X, Y, Z, T, U
% 1.89/2.25 , W, V0, V1 ), eqangle( T, Z, X, Y, V0, V1, U, W ) }.
% 1.89/2.25 parent1[0]: (11793) {G14,W9,D2,L1,V0,M1} R(7335,420) { eqangle( skol24,
% 1.89/2.25 skol24, skol24, skol25, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol25
% 1.89/2.25 U := skol25
% 1.89/2.25 W := skol24
% 1.89/2.25 V0 := skol24
% 1.89/2.25 V1 := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (11798) {G15,W9,D2,L1,V0,M1} R(11793,396) { eqangle( skol25,
% 1.89/2.25 skol24, skol24, skol24, skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 parent0: (13105) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol24, skol24,
% 1.89/2.25 skol24, skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13106) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol24, skol25
% 1.89/2.25 , skol24, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0[0]: (420) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 1.89/2.25 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 1.89/2.25 parent1[0]: (11798) {G15,W9,D2,L1,V0,M1} R(11793,396) { eqangle( skol25,
% 1.89/2.25 skol24, skol24, skol24, skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol24
% 1.89/2.25 T := skol24
% 1.89/2.25 U := skol24
% 1.89/2.25 W := skol24
% 1.89/2.25 V0 := skol25
% 1.89/2.25 V1 := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (11807) {G16,W9,D2,L1,V0,M1} R(11798,420) { eqangle( skol24,
% 1.89/2.25 skol24, skol25, skol24, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0: (13106) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol24, skol25,
% 1.89/2.25 skol24, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13107) {G1,W10,D2,L2,V0,M2} { para( skol24, skol24, skol25,
% 1.89/2.25 skol24 ), perp( skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 1.89/2.25 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 1.89/2.25 parent1[0]: (11807) {G16,W9,D2,L1,V0,M1} R(11798,420) { eqangle( skol24,
% 1.89/2.25 skol24, skol25, skol24, skol25, skol24, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol25
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13108) {G2,W10,D2,L2,V0,M2} { para( skol24, skol24, skol25,
% 1.89/2.25 skol24 ), para( skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 parent0[0]: (10995) {G16,W10,D2,L2,V2,M2} R(10958,274) { ! perp( skol24,
% 1.89/2.25 skol24, X, Y ), para( skol24, skol24, X, Y ) }.
% 1.89/2.25 parent1[1]: (13107) {G1,W10,D2,L2,V0,M2} { para( skol24, skol24, skol25,
% 1.89/2.25 skol24 ), perp( skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol25
% 1.89/2.25 Y := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 factor: (13109) {G2,W5,D2,L1,V0,M1} { para( skol24, skol24, skol25, skol24
% 1.89/2.25 ) }.
% 1.89/2.25 parent0[0, 1]: (13108) {G2,W10,D2,L2,V0,M2} { para( skol24, skol24, skol25
% 1.89/2.25 , skol24 ), para( skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (11808) {G17,W5,D2,L1,V0,M1} R(11807,71);r(10995) { para(
% 1.89/2.25 skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 parent0: (13109) {G2,W5,D2,L1,V0,M1} { para( skol24, skol24, skol25,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13110) {G2,W5,D2,L1,V0,M1} { para( skol25, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 parent0[0]: (231) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 1.89/2.25 ( Z, T, Y, X ) }.
% 1.89/2.25 parent1[0]: (11808) {G17,W5,D2,L1,V0,M1} R(11807,71);r(10995) { para(
% 1.89/2.25 skol24, skol24, skol25, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := skol25
% 1.89/2.25 T := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (11832) {G18,W5,D2,L1,V0,M1} R(11808,231) { para( skol25,
% 1.89/2.25 skol24, skol24, skol24 ) }.
% 1.89/2.25 parent0: (13110) {G2,W5,D2,L1,V0,M1} { para( skol25, skol24, skol24,
% 1.89/2.25 skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13111) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol25, skol24 ), !
% 1.89/2.25 para( skol25, skol24, skol24, skol24 ), midp( X, skol24, skol24 ) }.
% 1.89/2.25 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 1.89/2.25 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 1.89/2.25 parent1[0]: (11832) {G18,W5,D2,L1,V0,M1} R(11808,231) { para( skol25,
% 1.89/2.25 skol24, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol24
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := X
% 1.89/2.25 T := skol25
% 1.89/2.25 U := skol24
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13112) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol24 ),
% 1.89/2.25 midp( X, skol24, skol24 ) }.
% 1.89/2.25 parent0[1]: (13111) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol25, skol24 ), !
% 1.89/2.25 para( skol25, skol24, skol24, skol24 ), midp( X, skol24, skol24 ) }.
% 1.89/2.25 parent1[0]: (11832) {G18,W5,D2,L1,V0,M1} R(11808,231) { para( skol25,
% 1.89/2.25 skol24, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (11856) {G19,W8,D2,L2,V1,M2} R(11832,64);r(11832) { ! midp( X
% 1.89/2.25 , skol25, skol24 ), midp( X, skol24, skol24 ) }.
% 1.89/2.25 parent0: (13112) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol24 ), midp(
% 1.89/2.25 X, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 1 ==> 1
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13113) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol24, skol24 )
% 1.89/2.25 }.
% 1.89/2.25 parent0[0]: (11856) {G19,W8,D2,L2,V1,M2} R(11832,64);r(11832) { ! midp( X,
% 1.89/2.25 skol25, skol24 ), midp( X, skol24, skol24 ) }.
% 1.89/2.25 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol25, skol24 )
% 1.89/2.25 }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (12027) {G20,W4,D2,L1,V0,M1} R(11856,116) { midp( skol20,
% 1.89/2.25 skol24, skol24 ) }.
% 1.89/2.25 parent0: (13113) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13114) {G21,W4,D2,L1,V1,M1} { midp( skol20, X, X ) }.
% 1.89/2.25 parent0[0]: (8989) {G31,W8,D2,L2,V3,M2} R(8985,140) { ! midp( X, Y, Y ),
% 1.89/2.25 midp( X, Z, Z ) }.
% 1.89/2.25 parent1[0]: (12027) {G20,W4,D2,L1,V0,M1} R(11856,116) { midp( skol20,
% 1.89/2.25 skol24, skol24 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol24
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (12028) {G32,W4,D2,L1,V1,M1} R(12027,8989) { midp( skol20, X,
% 1.89/2.25 X ) }.
% 1.89/2.25 parent0: (13114) {G21,W4,D2,L1,V1,M1} { midp( skol20, X, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13115) {G1,W5,D2,L1,V1,M1} { cong( skol20, X, skol20, X ) }.
% 1.89/2.25 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 1.89/2.25 Z ) }.
% 1.89/2.25 parent1[0]: (12028) {G32,W4,D2,L1,V1,M1} R(12027,8989) { midp( skol20, X, X
% 1.89/2.25 ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := X
% 1.89/2.25 Z := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (12068) {G33,W5,D2,L1,V1,M1} R(12028,68) { cong( skol20, X,
% 1.89/2.25 skol20, X ) }.
% 1.89/2.25 parent0: (13115) {G1,W5,D2,L1,V1,M1} { cong( skol20, X, skol20, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13116) {G1,W10,D2,L2,V2,M2} { ! cong( skol20, Y, skol20, Y )
% 1.89/2.25 , perp( skol20, skol20, X, Y ) }.
% 1.89/2.25 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 1.89/2.25 T, Y, T ), perp( X, Y, Z, T ) }.
% 1.89/2.25 parent1[0]: (12068) {G33,W5,D2,L1,V1,M1} R(12028,68) { cong( skol20, X,
% 1.89/2.25 skol20, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol20
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13118) {G2,W5,D2,L1,V2,M1} { perp( skol20, skol20, Y, X ) }.
% 1.89/2.25 parent0[0]: (13116) {G1,W10,D2,L2,V2,M2} { ! cong( skol20, Y, skol20, Y )
% 1.89/2.25 , perp( skol20, skol20, X, Y ) }.
% 1.89/2.25 parent1[0]: (12068) {G33,W5,D2,L1,V1,M1} R(12028,68) { cong( skol20, X,
% 1.89/2.25 skol20, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (12163) {G34,W5,D2,L1,V2,M1} R(12068,56);r(12068) { perp(
% 1.89/2.25 skol20, skol20, Y, X ) }.
% 1.89/2.25 parent0: (13118) {G2,W5,D2,L1,V2,M1} { perp( skol20, skol20, Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13119) {G2,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! perp(
% 1.89/2.25 skol20, skol20, Z, T ) }.
% 1.89/2.25 parent0[0]: (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 1.89/2.25 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 1.89/2.25 parent1[0]: (12163) {G34,W5,D2,L1,V2,M1} R(12068,56);r(12068) { perp(
% 1.89/2.25 skol20, skol20, Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol20
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 U := Z
% 1.89/2.25 W := T
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13121) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 1.89/2.25 parent0[1]: (13119) {G2,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! perp(
% 1.89/2.25 skol20, skol20, Z, T ) }.
% 1.89/2.25 parent1[0]: (12163) {G34,W5,D2,L1,V2,M1} R(12068,56);r(12068) { perp(
% 1.89/2.25 skol20, skol20, Y, X ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := Z
% 1.89/2.25 Y := T
% 1.89/2.25 Z := X
% 1.89/2.25 T := Y
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := Y
% 1.89/2.25 Y := X
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (12203) {G35,W5,D2,L1,V4,M1} R(12163,272);r(12163) { para( X,
% 1.89/2.25 Y, Z, T ) }.
% 1.89/2.25 parent0: (13121) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 X := X
% 1.89/2.25 Y := Y
% 1.89/2.25 Z := Z
% 1.89/2.25 T := T
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 0 ==> 0
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 resolution: (13122) {G25,W0,D0,L0,V0,M0} { }.
% 1.89/2.25 parent0[0]: (9548) {G24,W8,D3,L1,V0,M1} R(298,8312) { ! para( skol20,
% 1.89/2.25 skol22, skol23, skol10( skol23, skol23, skol22 ) ) }.
% 1.89/2.25 parent1[0]: (12203) {G35,W5,D2,L1,V4,M1} R(12163,272);r(12163) { para( X, Y
% 1.89/2.25 , Z, T ) }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 substitution1:
% 1.89/2.25 X := skol20
% 1.89/2.25 Y := skol22
% 1.89/2.25 Z := skol23
% 1.89/2.25 T := skol10( skol23, skol23, skol22 )
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 subsumption: (12214) {G36,W0,D0,L0,V0,M0} R(12203,9548) { }.
% 1.89/2.25 parent0: (13122) {G25,W0,D0,L0,V0,M0} { }.
% 1.89/2.25 substitution0:
% 1.89/2.25 end
% 1.89/2.25 permutation0:
% 1.89/2.25 end
% 1.89/2.25
% 1.89/2.25 Proof check complete!
% 1.89/2.25
% 1.89/2.25 Memory use:
% 1.89/2.25
% 1.89/2.25 space for terms: 220430
% 1.89/2.25 space for clauses: 612646
% 1.89/2.25
% 1.89/2.25
% 1.89/2.25 clauses generated: 82591
% 1.89/2.25 clauses kept: 12215
% 1.89/2.25 clauses selected: 1304
% 1.89/2.25 clauses deleted: 869
% 1.89/2.25 clauses inuse deleted: 585
% 1.89/2.25
% 1.89/2.25 subsentry: 946825
% 1.89/2.25 literals s-matched: 692964
% 1.89/2.25 literals matched: 370136
% 1.89/2.25 full subsumption: 125153
% 1.89/2.25
% 1.89/2.25 checksum: -476926949
% 1.89/2.25
% 1.89/2.25
% 1.89/2.25 Bliksem ended
%------------------------------------------------------------------------------