%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO598+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 02:55:00 EDT 2022
% Result : Theorem 4.42s 4.84s
% Output : Refutation 4.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO598+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 08:11:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.16 *** allocated 10000 integers for termspace/termends
% 0.72/1.16 *** allocated 10000 integers for clauses
% 0.72/1.16 *** allocated 10000 integers for justifications
% 0.72/1.16 Bliksem 1.12
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Automatic Strategy Selection
% 0.72/1.16
% 0.72/1.16 *** allocated 15000 integers for termspace/termends
% 0.72/1.16
% 0.72/1.16 Clauses:
% 0.72/1.16
% 0.72/1.16 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.72/1.16 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.72/1.16 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.72/1.16 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.72/1.16 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.72/1.16 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.16 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.72/1.16 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.72/1.16 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.16 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.72/1.16 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.72/1.16 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.72/1.16 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.72/1.16 ( X, Y, Z, T ) }.
% 0.72/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.72/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.72/1.16 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.72/1.16 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.72/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.72/1.16 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.16 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.72/1.16 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.72/1.16 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.72/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.72/1.16 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.16 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.72/1.16 ( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.72/1.16 ( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.72/1.16 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.72/1.16 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.72/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.72/1.16 T ) }.
% 0.72/1.16 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.72/1.16 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.72/1.16 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.72/1.16 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.72/1.16 ) }.
% 0.72/1.16 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.72/1.16 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.72/1.16 }.
% 0.72/1.16 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.72/1.16 Z, Y ) }.
% 0.72/1.16 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.72/1.16 X, Z ) }.
% 0.72/1.16 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.72/1.16 U ) }.
% 0.72/1.16 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.72/1.16 , Z ), midp( Z, X, Y ) }.
% 0.72/1.16 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.72/1.16 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.72/1.16 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.72/1.16 Z, Y ) }.
% 0.72/1.16 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.72/1.16 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.72/1.16 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.72/1.16 ( Y, X, X, Z ) }.
% 0.72/1.16 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.72/1.16 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.16 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.72/1.16 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.72/1.16 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.72/1.16 , W ) }.
% 0.72/1.16 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.72/1.16 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.72/1.16 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.72/1.16 , Y ) }.
% 0.72/1.16 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.72/1.16 , X, Z, U, Y, Y, T ) }.
% 0.72/1.16 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.72/1.16 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.72/1.16 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.72/1.16 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.72/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.72/1.16 .
% 0.72/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.72/1.16 ) }.
% 0.72/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.72/1.16 , Z, T ) }.
% 0.72/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.72/1.16 , Z, T ) }.
% 0.72/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.72/1.16 , Z, T ) }.
% 0.72/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.72/1.16 , W, Z, T ), Z, T ) }.
% 0.72/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.72/1.16 , Y, Z, T ), X, Y ) }.
% 0.72/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.72/1.16 , W, Z, T ), Z, T ) }.
% 0.72/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.16 skol2( X, Y, Z, T ) ) }.
% 0.72/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.72/1.16 , W, Z, T ), Z, T ) }.
% 0.72/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.16 skol3( X, Y, Z, T ) ) }.
% 0.72/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.72/1.16 , T ) }.
% 0.72/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.72/1.16 ) ) }.
% 0.72/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.72/1.16 skol5( W, Y, Z, T ) ) }.
% 0.72/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.72/1.16 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.72/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.72/1.16 , X, T ) }.
% 0.72/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.72/1.16 W, X, Z ) }.
% 0.72/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.72/1.16 , Y, T ) }.
% 0.72/1.16 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.72/1.16 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.72/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.16 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.72/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.16 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.72/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.72/1.16 Z, T ) ) }.
% 0.72/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.72/1.16 , T ) ) }.
% 0.72/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.72/1.16 , X, Y ) }.
% 0.72/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.72/1.16 ) }.
% 0.72/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.72/1.16 , Y ) }.
% 0.72/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.16 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.72/1.16 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.72/1.16 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.72/1.16 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.03/4.47 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.03/4.47 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.03/4.47 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.03/4.47 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.03/4.47 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.03/4.47 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.03/4.47 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.03/4.47 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.03/4.47 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.03/4.47 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.03/4.47 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.03/4.47 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.03/4.47 X, Y, Z ) }.
% 4.03/4.47 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.03/4.47 }.
% 4.03/4.47 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.03/4.47 ) }.
% 4.03/4.47 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.03/4.47 skol17( X, Y ), X, Y ) }.
% 4.03/4.47 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.03/4.47 }.
% 4.03/4.47 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.03/4.47 ) }.
% 4.03/4.47 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.03/4.47 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.03/4.47 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.03/4.47 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.03/4.47 { circle( skol28, skol25, skol26, skol27 ) }.
% 4.03/4.47 { midp( skol20, skol27, skol26 ) }.
% 4.03/4.47 { midp( skol22, skol25, skol27 ) }.
% 4.03/4.47 { midp( skol23, skol26, skol25 ) }.
% 4.03/4.47 { coll( skol29, skol28, skol23 ) }.
% 4.03/4.47 { circle( skol28, skol25, skol29, skol30 ) }.
% 4.03/4.47 { perp( skol24, skol29, skol25, skol27 ) }.
% 4.03/4.47 { coll( skol24, skol25, skol27 ) }.
% 4.03/4.47 { ! eqangle( skol22, skol23, skol23, skol24, skol24, skol23, skol23, skol20
% 4.03/4.47 ) }.
% 4.03/4.47
% 4.03/4.47 percentage equality = 0.008746, percentage horn = 0.928000
% 4.03/4.47 This is a problem with some equality
% 4.03/4.47
% 4.03/4.47
% 4.03/4.47
% 4.03/4.47 Options Used:
% 4.03/4.47
% 4.03/4.47 useres = 1
% 4.03/4.47 useparamod = 1
% 4.03/4.47 useeqrefl = 1
% 4.03/4.47 useeqfact = 1
% 4.03/4.47 usefactor = 1
% 4.03/4.47 usesimpsplitting = 0
% 4.03/4.47 usesimpdemod = 5
% 4.03/4.47 usesimpres = 3
% 4.03/4.47
% 4.03/4.47 resimpinuse = 1000
% 4.03/4.47 resimpclauses = 20000
% 4.03/4.47 substype = eqrewr
% 4.03/4.47 backwardsubs = 1
% 4.03/4.47 selectoldest = 5
% 4.03/4.47
% 4.03/4.47 litorderings [0] = split
% 4.03/4.47 litorderings [1] = extend the termordering, first sorting on arguments
% 4.03/4.47
% 4.03/4.47 termordering = kbo
% 4.03/4.47
% 4.03/4.47 litapriori = 0
% 4.03/4.47 termapriori = 1
% 4.03/4.47 litaposteriori = 0
% 4.03/4.47 termaposteriori = 0
% 4.03/4.47 demodaposteriori = 0
% 4.03/4.47 ordereqreflfact = 0
% 4.03/4.47
% 4.03/4.47 litselect = negord
% 4.03/4.47
% 4.03/4.47 maxweight = 15
% 4.03/4.47 maxdepth = 30000
% 4.03/4.47 maxlength = 115
% 4.03/4.47 maxnrvars = 195
% 4.03/4.47 excuselevel = 1
% 4.03/4.47 increasemaxweight = 1
% 4.03/4.47
% 4.03/4.47 maxselected = 10000000
% 4.03/4.47 maxnrclauses = 10000000
% 4.03/4.47
% 4.03/4.47 showgenerated = 0
% 4.03/4.47 showkept = 0
% 4.03/4.47 showselected = 0
% 4.03/4.47 showdeleted = 0
% 4.03/4.47 showresimp = 1
% 4.03/4.47 showstatus = 2000
% 4.03/4.47
% 4.03/4.47 prologoutput = 0
% 4.03/4.47 nrgoals = 5000000
% 4.03/4.47 totalproof = 1
% 4.03/4.47
% 4.03/4.47 Symbols occurring in the translation:
% 4.03/4.47
% 4.03/4.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.03/4.47 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 4.03/4.47 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 4.03/4.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.03/4.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.03/4.47 coll [38, 3] (w:1, o:69, a:1, s:1, b:0),
% 4.03/4.47 para [40, 4] (w:1, o:77, a:1, s:1, b:0),
% 4.03/4.47 perp [43, 4] (w:1, o:78, a:1, s:1, b:0),
% 4.03/4.47 midp [45, 3] (w:1, o:70, a:1, s:1, b:0),
% 4.03/4.47 cong [47, 4] (w:1, o:79, a:1, s:1, b:0),
% 4.03/4.47 circle [48, 4] (w:1, o:80, a:1, s:1, b:0),
% 4.03/4.47 cyclic [49, 4] (w:1, o:81, a:1, s:1, b:0),
% 4.03/4.47 eqangle [54, 8] (w:1, o:96, a:1, s:1, b:0),
% 4.03/4.47 eqratio [57, 8] (w:1, o:97, a:1, s:1, b:0),
% 4.03/4.47 simtri [59, 6] (w:1, o:93, a:1, s:1, b:0),
% 4.03/4.47 contri [60, 6] (w:1, o:94, a:1, s:1, b:0),
% 4.03/4.47 alpha1 [66, 3] (w:1, o:71, a:1, s:1, b:1),
% 4.03/4.47 alpha2 [67, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.03/4.47 skol1 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.03/4.47 skol2 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.03/4.47 skol3 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.03/4.47 skol4 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.03/4.47 skol5 [72, 4] (w:1, o:89, a:1, s:1, b:1),
% 4.03/4.47 skol6 [73, 6] (w:1, o:95, a:1, s:1, b:1),
% 4.42/4.84 skol7 [74, 2] (w:1, o:65, a:1, s:1, b:1),
% 4.42/4.84 skol8 [75, 4] (w:1, o:90, a:1, s:1, b:1),
% 4.42/4.84 skol9 [76, 4] (w:1, o:91, a:1, s:1, b:1),
% 4.42/4.84 skol10 [77, 3] (w:1, o:72, a:1, s:1, b:1),
% 4.42/4.84 skol11 [78, 3] (w:1, o:73, a:1, s:1, b:1),
% 4.42/4.84 skol12 [79, 2] (w:1, o:66, a:1, s:1, b:1),
% 4.42/4.84 skol13 [80, 5] (w:1, o:92, a:1, s:1, b:1),
% 4.42/4.84 skol14 [81, 3] (w:1, o:74, a:1, s:1, b:1),
% 4.42/4.84 skol15 [82, 3] (w:1, o:75, a:1, s:1, b:1),
% 4.42/4.84 skol16 [83, 3] (w:1, o:76, a:1, s:1, b:1),
% 4.42/4.84 skol17 [84, 2] (w:1, o:67, a:1, s:1, b:1),
% 4.42/4.84 skol18 [85, 2] (w:1, o:68, a:1, s:1, b:1),
% 4.42/4.84 skol19 [86, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.42/4.84 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 4.42/4.84 skol21 [88, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.42/4.84 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 4.42/4.84 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 4.42/4.84 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 4.42/4.84 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 4.42/4.84 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 4.42/4.84 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 4.42/4.84 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 4.42/4.84 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 4.42/4.84 skol30 [97, 0] (w:1, o:35, a:1, s:1, b:1).
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Starting Search:
% 4.42/4.84
% 4.42/4.84 *** allocated 15000 integers for clauses
% 4.42/4.84 *** allocated 22500 integers for clauses
% 4.42/4.84 *** allocated 33750 integers for clauses
% 4.42/4.84 *** allocated 50625 integers for clauses
% 4.42/4.84 *** allocated 22500 integers for termspace/termends
% 4.42/4.84 *** allocated 75937 integers for clauses
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 33750 integers for termspace/termends
% 4.42/4.84 *** allocated 113905 integers for clauses
% 4.42/4.84 *** allocated 50625 integers for termspace/termends
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 10428
% 4.42/4.84 Kept: 2009
% 4.42/4.84 Inuse: 329
% 4.42/4.84 Deleted: 0
% 4.42/4.84 Deletedinuse: 0
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 170857 integers for clauses
% 4.42/4.84 *** allocated 75937 integers for termspace/termends
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 256285 integers for clauses
% 4.42/4.84 *** allocated 113905 integers for termspace/termends
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 21102
% 4.42/4.84 Kept: 4017
% 4.42/4.84 Inuse: 462
% 4.42/4.84 Deleted: 0
% 4.42/4.84 Deletedinuse: 0
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 384427 integers for clauses
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 170857 integers for termspace/termends
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 35218
% 4.42/4.84 Kept: 6041
% 4.42/4.84 Inuse: 536
% 4.42/4.84 Deleted: 0
% 4.42/4.84 Deletedinuse: 0
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 576640 integers for clauses
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 47048
% 4.42/4.84 Kept: 8046
% 4.42/4.84 Inuse: 685
% 4.42/4.84 Deleted: 1
% 4.42/4.84 Deletedinuse: 0
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 256285 integers for termspace/termends
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 63286
% 4.42/4.84 Kept: 10050
% 4.42/4.84 Inuse: 836
% 4.42/4.84 Deleted: 151
% 4.42/4.84 Deletedinuse: 50
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 864960 integers for clauses
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 73793
% 4.42/4.84 Kept: 12130
% 4.42/4.84 Inuse: 980
% 4.42/4.84 Deleted: 718
% 4.42/4.84 Deletedinuse: 492
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 82327
% 4.42/4.84 Kept: 14169
% 4.42/4.84 Inuse: 1127
% 4.42/4.84 Deleted: 955
% 4.42/4.84 Deletedinuse: 601
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 384427 integers for termspace/termends
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 93256
% 4.42/4.84 Kept: 16171
% 4.42/4.84 Inuse: 1299
% 4.42/4.84 Deleted: 975
% 4.42/4.84 Deletedinuse: 602
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 *** allocated 1297440 integers for clauses
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 104468
% 4.42/4.84 Kept: 18172
% 4.42/4.84 Inuse: 1509
% 4.42/4.84 Deleted: 991
% 4.42/4.84 Deletedinuse: 602
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 Resimplifying clauses:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 115436
% 4.42/4.84 Kept: 20201
% 4.42/4.84 Inuse: 1677
% 4.42/4.84 Deleted: 8329
% 4.42/4.84 Deletedinuse: 602
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 125488
% 4.42/4.84 Kept: 22202
% 4.42/4.84 Inuse: 1868
% 4.42/4.84 Deleted: 8463
% 4.42/4.84 Deletedinuse: 736
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Intermediate Status:
% 4.42/4.84 Generated: 136938
% 4.42/4.84 Kept: 24218
% 4.42/4.84 Inuse: 1986
% 4.42/4.84 Deleted: 8505
% 4.42/4.84 Deletedinuse: 771
% 4.42/4.84
% 4.42/4.84 *** allocated 576640 integers for termspace/termends
% 4.42/4.84 *** allocated 1946160 integers for clauses
% 4.42/4.84 Resimplifying inuse:
% 4.42/4.84 Done
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Bliksems!, er is een bewijs:
% 4.42/4.84 % SZS status Theorem
% 4.42/4.84 % SZS output start Refutation
% 4.42/4.84
% 4.42/4.84 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.42/4.84 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.42/4.84 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 4.42/4.84 , Z, X ) }.
% 4.42/4.84 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 4.42/4.84 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 4.42/4.84 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 4.42/4.84 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 4.42/4.84 para( X, Y, Z, T ) }.
% 4.42/4.84 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.42/4.84 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 4.42/4.84 circle( T, X, Y, Z ) }.
% 4.42/4.84 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 4.42/4.84 }.
% 4.42/4.84 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 4.42/4.84 }.
% 4.42/4.84 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 4.42/4.84 }.
% 4.42/4.84 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 4.42/4.84 ), cyclic( X, Y, Z, T ) }.
% 4.42/4.84 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.42/4.84 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.42/4.84 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.42/4.84 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 4.42/4.84 V1 ) }.
% 4.42/4.84 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 4.42/4.84 , T, U, W ) }.
% 4.42/4.84 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 4.42/4.84 T, X, T, Y ) }.
% 4.42/4.84 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 4.42/4.84 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.42/4.84 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 4.42/4.84 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.42/4.84 , Y, Z, T ) }.
% 4.42/4.84 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 4.42/4.84 perp( X, Y, Z, T ) }.
% 4.42/4.84 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.42/4.84 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.42/4.84 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 4.42/4.84 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.42/4.84 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 4.42/4.84 , X, X, Y ) }.
% 4.42/4.84 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.42/4.84 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.42/4.84 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol27, skol26 ) }.
% 4.42/4.84 (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 ) }.
% 4.42/4.84 (124) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol22, skol23, skol23, skol24,
% 4.42/4.84 skol24, skol23, skol23, skol20 ) }.
% 4.42/4.84 (127) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 4.42/4.84 ) }.
% 4.42/4.84 (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 4.42/4.84 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.42/4.84 (166) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 4.42/4.84 (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 4.42/4.84 (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 4.42/4.84 coll( Z, X, T ) }.
% 4.42/4.84 (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 4.42/4.84 (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 4.42/4.84 coll( X, Z, T ) }.
% 4.42/4.84 (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 4.42/4.84 (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 4.42/4.84 ), ! perp( X, Y, U, W ) }.
% 4.42/4.84 (285) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para( Z, T, Z, T
% 4.42/4.84 ) }.
% 4.42/4.84 (310) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol20, skol26, skol27 ) }.
% 4.42/4.84 (312) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol23, skol25, skol26 ) }.
% 4.42/4.84 (339) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 4.42/4.84 , T, Y ) }.
% 4.42/4.84 (351) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.42/4.84 , X, T ) }.
% 4.42/4.84 (383) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.42/4.84 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.42/4.84 (400) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 4.42/4.84 (405) {G6,W8,D2,L2,V3,M2} R(400,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 4.42/4.84 (406) {G6,W8,D2,L2,V3,M2} R(400,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 4.42/4.84 (407) {G7,W8,D2,L2,V3,M2} R(405,400) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 4.42/4.84 }.
% 4.42/4.84 (412) {G7,W8,D2,L2,V3,M2} R(406,406) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 4.42/4.84 }.
% 4.42/4.84 (415) {G8,W12,D2,L3,V4,M3} R(412,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 4.42/4.84 , coll( T, Y, X ) }.
% 4.42/4.84 (416) {G9,W8,D2,L2,V3,M2} F(415) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 4.42/4.84 (419) {G10,W8,D2,L2,V3,M2} R(416,407) { coll( X, X, Y ), ! coll( Z, Y, X )
% 4.42/4.84 }.
% 4.42/4.84 (420) {G10,W8,D2,L2,V3,M2} R(416,405) { coll( X, X, Y ), ! coll( Z, X, Y )
% 4.42/4.84 }.
% 4.42/4.84 (437) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 4.42/4.84 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 4.42/4.84 (467) {G2,W8,D2,L2,V3,M2} R(69,166) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 4.42/4.84 }.
% 4.42/4.84 (474) {G11,W8,D2,L2,V3,M2} R(69,420) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 4.42/4.84 }.
% 4.42/4.84 (488) {G2,W4,D2,L1,V0,M1} R(69,312) { coll( skol23, skol25, skol26 ) }.
% 4.42/4.84 (498) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol23, skol26, skol25 ) }.
% 4.42/4.84 (508) {G11,W4,D2,L1,V0,M1} R(488,419) { coll( skol26, skol26, skol25 ) }.
% 4.42/4.84 (721) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), ! eqangle( Z,
% 4.42/4.84 T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2, V3 ) }.
% 4.42/4.84 (729) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 4.42/4.84 para( X, Y, W, U ) }.
% 4.42/4.84 (733) {G2,W8,D2,L2,V1,M2} R(498,2) { ! coll( skol23, skol26, X ), coll(
% 4.42/4.84 skol25, X, skol23 ) }.
% 4.42/4.84 (775) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 4.42/4.84 ), ! para( X, Z, X, Z ) }.
% 4.42/4.84 (926) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.42/4.84 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 4.42/4.84 (958) {G2,W15,D2,L3,V3,M3} F(926) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 4.42/4.84 , Z, Y ), cong( X, Y, X, Y ) }.
% 4.42/4.84 (1144) {G3,W8,D2,L2,V1,M2} R(733,167) { coll( skol25, X, skol23 ), ! coll(
% 4.42/4.84 X, skol23, skol26 ) }.
% 4.42/4.84 (1995) {G4,W8,D2,L2,V1,M2} R(1144,167) { ! coll( X, skol23, skol26 ), coll
% 4.42/4.84 ( X, skol23, skol25 ) }.
% 4.42/4.84 (2013) {G5,W12,D2,L3,V2,M3} R(1995,2) { ! coll( X, skol23, skol26 ), ! coll
% 4.42/4.84 ( X, skol23, Y ), coll( skol25, Y, X ) }.
% 4.42/4.84 (2018) {G6,W8,D2,L2,V1,M2} F(2013) { ! coll( X, skol23, skol26 ), coll(
% 4.42/4.84 skol25, skol26, X ) }.
% 4.42/4.84 (2486) {G2,W5,D2,L1,V0,M1} R(68,310) { cong( skol20, skol26, skol20, skol27
% 4.42/4.84 ) }.
% 4.42/4.84 (3305) {G7,W8,D2,L2,V1,M2} R(2018,467) { coll( skol25, skol26, X ), ! midp
% 4.42/4.84 ( skol23, skol26, X ) }.
% 4.42/4.84 (7193) {G3,W5,D2,L1,V0,M1} R(127,2486) { circle( skol20, skol26, skol27,
% 4.42/4.84 skol27 ) }.
% 4.42/4.84 (8100) {G12,W14,D3,L3,V2,M3} R(147,3305);r(508) { ! midp( X, skol26, skol25
% 4.42/4.84 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol23, skol26, skol25
% 4.42/4.84 ) }.
% 4.42/4.84 (8221) {G13,W6,D3,L1,V1,M1} F(8100);r(119) { midp( skol7( skol26, X ),
% 4.42/4.84 skol26, X ) }.
% 4.42/4.84 (8559) {G4,W7,D3,L1,V0,M1} R(7193,100) { perp( skol12( skol26, skol20 ),
% 4.42/4.84 skol26, skol26, skol20 ) }.
% 4.42/4.84 (9134) {G14,W4,D2,L1,V1,M1} R(8221,474) { coll( skol26, skol26, X ) }.
% 4.42/4.84 (9422) {G15,W4,D2,L1,V2,M1} R(9134,2);r(9134) { coll( Y, X, skol26 ) }.
% 4.42/4.84 (9697) {G16,W4,D2,L1,V2,M1} R(9422,167) { coll( X, skol26, Y ) }.
% 4.42/4.84 (9712) {G17,W4,D2,L1,V3,M1} R(9697,2);r(9697) { coll( Z, Y, X ) }.
% 4.42/4.84 (9960) {G5,W7,D3,L1,V0,M1} R(8559,7) { perp( skol26, skol20, skol12( skol26
% 4.42/4.84 , skol20 ), skol26 ) }.
% 4.42/4.84 (9969) {G6,W7,D3,L1,V0,M1} R(9960,6) { perp( skol26, skol20, skol26, skol12
% 4.42/4.84 ( skol26, skol20 ) ) }.
% 4.42/4.84 (9977) {G7,W7,D3,L1,V0,M1} R(9969,7) { perp( skol26, skol12( skol26, skol20
% 4.42/4.84 ), skol26, skol20 ) }.
% 4.42/4.84 (9986) {G8,W7,D3,L1,V0,M1} R(9977,6) { perp( skol26, skol12( skol26, skol20
% 4.42/4.84 ), skol20, skol26 ) }.
% 4.42/4.84 (9995) {G9,W7,D3,L1,V0,M1} R(9986,7) { perp( skol20, skol26, skol26, skol12
% 4.42/4.84 ( skol26, skol20 ) ) }.
% 4.42/4.84 (9997) {G18,W8,D3,L1,V2,M1} R(9995,110);r(9712) { perp( skol16( skol20, X,
% 4.42/4.84 Y ), skol20, X, Y ) }.
% 4.42/4.84 (12977) {G19,W5,D2,L1,V2,M1} R(9997,285) { para( X, Y, X, Y ) }.
% 4.42/4.84 (20112) {G20,W5,D2,L1,V3,M1} S(775);r(9712);r(12977) { cyclic( Z, Y, X, X )
% 4.42/4.84 }.
% 4.42/4.84 (20131) {G21,W5,D2,L1,V3,M1} R(20112,351) { cyclic( X, Y, Z, Y ) }.
% 4.42/4.84 (20133) {G21,W5,D2,L1,V3,M1} R(20112,339) { cyclic( X, Y, Y, Z ) }.
% 4.42/4.84 (20138) {G22,W5,D2,L1,V3,M1} R(20131,383);r(20133) { cyclic( Y, Y, Z, T )
% 4.42/4.84 }.
% 4.42/4.84 (20146) {G23,W5,D2,L1,V4,M1} R(20138,383);r(20138) { cyclic( X, Y, Z, T )
% 4.42/4.84 }.
% 4.42/4.84 (25421) {G24,W5,D2,L1,V2,M1} S(958);r(20146);r(20146) { cong( X, Y, X, Y )
% 4.42/4.84 }.
% 4.42/4.84 (25432) {G25,W5,D2,L1,V3,M1} R(25421,56);r(25421) { perp( X, X, Z, Y ) }.
% 4.42/4.84 (25461) {G26,W5,D2,L1,V4,M1} R(25432,273);r(25432) { para( X, Y, Z, T ) }.
% 4.42/4.84 (25473) {G27,W9,D2,L1,V6,M1} R(25461,729) { eqangle( X, Y, Z, T, U, W, Z, T
% 4.42/4.84 ) }.
% 4.42/4.84 (25614) {G28,W9,D2,L1,V6,M1} R(25473,437) { eqangle( X, Y, X, Y, Z, T, U, W
% 4.42/4.84 ) }.
% 4.42/4.84 (25616) {G29,W9,D2,L1,V8,M1} R(25614,721);r(25461) { eqangle( X, Y, Z, T, U
% 4.42/4.84 , W, V0, V1 ) }.
% 4.42/4.84 (25617) {G30,W0,D0,L0,V0,M0} R(25616,124) { }.
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 % SZS output end Refutation
% 4.42/4.84 found a proof!
% 4.42/4.84
% 4.42/4.84
% 4.42/4.84 Unprocessed initial clauses:
% 4.42/4.84
% 4.42/4.84 (25619) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.42/4.84 (25620) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.42/4.84 (25621) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 4.42/4.84 ( Y, Z, X ) }.
% 4.42/4.84 (25622) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 4.42/4.84 }.
% 4.42/4.84 (25623) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 4.42/4.84 }.
% 4.42/4.84 (25624) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 4.42/4.84 , para( X, Y, Z, T ) }.
% 4.42/4.84 (25625) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 4.42/4.84 }.
% 4.42/4.84 (25626) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 4.42/4.84 }.
% 4.42/4.84 (25627) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.42/4.84 , para( X, Y, Z, T ) }.
% 4.42/4.84 (25628) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.42/4.84 , perp( X, Y, Z, T ) }.
% 4.42/4.84 (25629) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.42/4.84 (25630) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 4.42/4.84 , circle( T, X, Y, Z ) }.
% 4.42/4.84 (25631) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 4.42/4.84 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.42/4.84 (25632) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 4.42/4.84 ) }.
% 4.42/4.84 (25633) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 4.42/4.84 ) }.
% 4.42/4.84 (25634) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 4.42/4.84 ) }.
% 4.42/4.84 (25635) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 4.42/4.84 T ), cyclic( X, Y, Z, T ) }.
% 4.42/4.84 (25636) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.42/4.84 (25637) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.42/4.84 (25638) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.42/4.84 (25639) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.42/4.84 (25640) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.42/4.84 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 4.42/4.84 V1 ) }.
% 4.42/4.84 (25641) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 4.42/4.84 }.
% 4.42/4.84 (25642) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 4.42/4.84 }.
% 4.42/4.84 (25643) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 4.42/4.84 , cong( X, Y, Z, T ) }.
% 4.42/4.84 (25644) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.42/4.84 (25645) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 4.42/4.84 (25646) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 4.42/4.84 (25647) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.42/4.84 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.42/4.84 (25648) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.42/4.84 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 4.42/4.84 V1 ) }.
% 4.42/4.84 (25649) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 4.42/4.84 , Z, T, U, W ) }.
% 4.42/4.84 (25650) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 4.42/4.84 , Z, T, U, W ) }.
% 4.42/4.84 (25651) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 4.42/4.84 , Z, T, U, W ) }.
% 4.42/4.84 (25652) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 4.42/4.84 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 4.42/4.84 (25653) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 4.42/4.84 , Z, T, U, W ) }.
% 4.42/4.84 (25654) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 4.42/4.84 , Z, T, U, W ) }.
% 4.42/4.84 (25655) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 4.42/4.84 , Z, T, U, W ) }.
% 4.42/4.84 (25656) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 4.42/4.84 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 4.42/4.84 (25657) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 4.42/4.84 X, Y, Z, T ) }.
% 4.42/4.84 (25658) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 4.42/4.84 Z, T, U, W ) }.
% 4.42/4.84 (25659) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 4.42/4.84 , T, X, T, Y ) }.
% 4.42/4.84 (25660) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 4.42/4.84 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 4.42/4.84 (25661) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 4.42/4.84 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.42/4.84 (25662) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 4.42/4.84 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.42/4.84 , Y, Z, T ) }.
% 4.42/4.84 (25663) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 4.42/4.84 ( Z, T, X, Y ) }.
% 4.42/4.84 (25664) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 4.42/4.84 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 4.42/4.84 (25665) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 4.42/4.84 X, Y, Z, Y ) }.
% 4.42/4.84 (25666) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 4.42/4.84 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 4.42/4.84 (25667) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 4.42/4.84 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 4.42/4.84 (25668) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 4.42/4.84 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 4.42/4.84 (25669) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 4.42/4.84 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 4.42/4.84 (25670) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 4.42/4.84 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 4.42/4.84 (25671) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 4.42/4.84 cong( X, Z, Y, Z ) }.
% 4.42/4.84 (25672) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 4.42/4.84 perp( X, Y, Y, Z ) }.
% 4.42/4.84 (25673) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.42/4.84 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 4.42/4.84 (25674) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 4.42/4.84 cong( Z, X, Z, Y ) }.
% 4.42/4.84 (25675) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 4.42/4.84 , perp( X, Y, Z, T ) }.
% 4.42/4.84 (25676) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 4.42/4.84 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.42/4.84 (25677) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 4.42/4.84 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 4.42/4.84 , W ) }.
% 4.42/4.84 (25678) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 4.42/4.84 , X, Z, T, U, T, W ) }.
% 4.42/4.84 (25679) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 4.42/4.84 , Y, Z, T, U, U, W ) }.
% 4.42/4.84 (25680) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 4.42/4.84 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 4.42/4.84 (25681) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 4.42/4.84 , T ) }.
% 4.42/4.84 (25682) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 4.42/4.84 ( X, Z, Y, T ) }.
% 4.42/4.84 (25683) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 4.42/4.84 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.42/4.84 (25684) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 4.42/4.84 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 4.42/4.84 (25685) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 4.42/4.84 (25686) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 4.42/4.84 midp( X, Y, Z ) }.
% 4.42/4.84 (25687) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.42/4.84 (25688) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.42/4.84 (25689) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 4.42/4.84 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 4.42/4.84 (25690) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 4.42/4.84 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.42/4.84 (25691) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 4.42/4.84 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 4.42/4.84 (25692) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.42/4.84 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 4.42/4.84 (25693) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.42/4.84 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.42/4.84 (25694) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 4.42/4.84 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 4.42/4.84 (25695) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.42/4.84 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 4.42/4.84 (25696) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.42/4.84 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 4.42/4.84 (25697) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.42/4.84 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 4.42/4.84 (25698) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.42/4.84 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 4.42/4.84 (25699) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.42/4.84 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 4.42/4.84 (25700) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.42/4.84 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 4.42/4.84 (25701) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.42/4.84 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 4.42/4.84 (25702) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.42/4.84 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 4.42/4.84 (25703) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.42/4.84 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 4.42/4.84 (25704) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.42/4.84 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 4.42/4.84 , T ) ) }.
% 4.42/4.84 (25705) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 4.42/4.84 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 4.42/4.84 (25706) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.42/4.84 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 4.42/4.84 (25707) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.42/4.84 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 4.42/4.84 (25708) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 4.42/4.84 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.42/4.84 (25709) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.42/4.84 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 4.42/4.84 ) }.
% 4.42/4.84 (25710) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.42/4.84 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 4.42/4.84 }.
% 4.42/4.84 (25711) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.42/4.84 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 4.42/4.85 (25712) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.42/4.85 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 4.42/4.85 (25713) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.42/4.85 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 4.42/4.85 (25714) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.42/4.85 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 4.42/4.85 (25715) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.42/4.85 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.42/4.85 (25716) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.42/4.85 , alpha1( X, Y, Z ) }.
% 4.42/4.85 (25717) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 4.42/4.85 ), Z, X ) }.
% 4.42/4.85 (25718) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 4.42/4.85 , Z ), Z, X ) }.
% 4.42/4.85 (25719) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 4.42/4.85 alpha1( X, Y, Z ) }.
% 4.42/4.85 (25720) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 4.42/4.85 ), X, X, Y ) }.
% 4.42/4.85 (25721) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.42/4.85 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 4.42/4.85 ) ) }.
% 4.42/4.85 (25722) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.42/4.85 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.42/4.85 (25723) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.42/4.85 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 4.42/4.85 }.
% 4.42/4.85 (25724) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.42/4.85 (25725) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 4.42/4.85 }.
% 4.42/4.85 (25726) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 4.42/4.85 alpha2( X, Y, Z, T ) }.
% 4.42/4.85 (25727) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.42/4.85 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 4.42/4.85 (25728) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 4.42/4.85 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 4.42/4.85 (25729) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.42/4.85 coll( skol16( W, Y, Z ), Y, Z ) }.
% 4.42/4.85 (25730) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.42/4.85 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.42/4.85 (25731) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 4.42/4.85 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 4.42/4.85 (25732) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.42/4.85 , coll( X, Y, skol18( X, Y ) ) }.
% 4.42/4.85 (25733) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.42/4.85 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 4.42/4.85 (25734) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.42/4.85 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 4.42/4.85 }.
% 4.42/4.85 (25735) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.42/4.85 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 4.42/4.85 }.
% 4.42/4.85 (25736) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol26, skol27 ) }.
% 4.42/4.85 (25737) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol27, skol26 ) }.
% 4.42/4.85 (25738) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol25, skol27 ) }.
% 4.42/4.85 (25739) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol25 ) }.
% 4.42/4.85 (25740) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol28, skol23 ) }.
% 4.42/4.85 (25741) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol29, skol30 ) }.
% 4.42/4.85 (25742) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol29, skol25, skol27 ) }.
% 4.42/4.85 (25743) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol27 ) }.
% 4.42/4.85 (25744) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol22, skol23, skol23, skol24,
% 4.42/4.85 skol24, skol23, skol23, skol20 ) }.
% 4.42/4.85
% 4.42/4.85
% 4.42/4.85 Total Proof:
% 4.42/4.85
% 4.42/4.85 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 parent0: (25619) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 parent0: (25620) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 4.42/4.85 Z ), coll( Y, Z, X ) }.
% 4.42/4.85 parent0: (25621) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.42/4.85 ), coll( Y, Z, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 4.42/4.85 , T, Z ) }.
% 4.42/4.85 parent0: (25622) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 4.42/4.85 T, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 4.42/4.85 , T, Z ) }.
% 4.42/4.85 parent0: (25625) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.42/4.85 T, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 4.42/4.85 , X, Y ) }.
% 4.42/4.85 parent0: (25626) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.42/4.85 X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 4.42/4.85 W, Z, T ), para( X, Y, Z, T ) }.
% 4.42/4.85 parent0: (25627) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 4.42/4.85 , Z, T ), para( X, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 4.42/4.85 ) }.
% 4.42/4.85 parent0: (25629) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 4.42/4.85 , X, T, Z ), circle( T, X, Y, Z ) }.
% 4.42/4.85 parent0: (25630) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 4.42/4.85 , T, Z ), circle( T, X, Y, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.42/4.85 X, Y, T, Z ) }.
% 4.42/4.85 parent0: (25632) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.42/4.85 , Y, T, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.42/4.85 X, Z, Y, T ) }.
% 4.42/4.85 parent0: (25633) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.42/4.85 , Z, Y, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.42/4.85 Y, X, Z, T ) }.
% 4.42/4.85 parent0: (25634) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.42/4.85 , X, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.42/4.85 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.42/4.85 parent0: (25635) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 4.42/4.85 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 4.42/4.85 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.42/4.85 parent0: (25638) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.42/4.85 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 V0 := V0
% 4.42/4.85 V1 := V1
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 4.42/4.85 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.42/4.85 parent0: (25639) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.42/4.85 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 V0 := V0
% 4.42/4.85 V1 := V1
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 4.42/4.85 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 4.42/4.85 , U, W, V0, V1 ) }.
% 4.42/4.85 parent0: (25640) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 4.42/4.85 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 4.42/4.85 , W, V0, V1 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 V0 := V0
% 4.42/4.85 V1 := V1
% 4.42/4.85 V2 := V2
% 4.42/4.85 V3 := V3
% 4.42/4.85 V4 := V4
% 4.42/4.85 V5 := V5
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.42/4.85 , Y, U, W, Z, T, U, W ) }.
% 4.42/4.85 parent0: (25658) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 4.42/4.85 Y, U, W, Z, T, U, W ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 4.42/4.85 ( Z, X, Z, Y, T, X, T, Y ) }.
% 4.42/4.85 parent0: (25659) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 4.42/4.85 , X, Z, Y, T, X, T, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 4.42/4.85 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.42/4.85 parent0: (25661) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.42/4.85 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.42/4.85 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.42/4.85 ), cong( X, Y, Z, T ) }.
% 4.42/4.85 parent0: (25662) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 4.42/4.85 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 4.42/4.85 , cong( X, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 3 ==> 3
% 4.42/4.85 4 ==> 4
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 4.42/4.85 , T, Y, T ), perp( X, Y, Z, T ) }.
% 4.42/4.85 parent0: (25675) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 4.42/4.85 , Y, T ), perp( X, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 4.42/4.85 , Z ) }.
% 4.42/4.85 parent0: (25687) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 4.42/4.85 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 4.42/4.85 ) }.
% 4.42/4.85 parent0: (25688) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 4.42/4.85 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.42/4.85 ) }.
% 4.42/4.85 parent0: (25708) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 4.42/4.85 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 V0 := V0
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 3 ==> 3
% 4.42/4.85 4 ==> 4
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.42/4.85 skol12( X, Y ), X, X, Y ) }.
% 4.42/4.85 parent0: (25720) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 4.42/4.85 skol12( X, Y ), X, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.42/4.85 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.42/4.85 parent0: (25730) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 4.42/4.85 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol27, skol26 )
% 4.42/4.85 }.
% 4.42/4.85 parent0: (25737) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol27, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 )
% 4.42/4.85 }.
% 4.42/4.85 parent0: (25739) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol25 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (124) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol22, skol23,
% 4.42/4.85 skol23, skol24, skol24, skol23, skol23, skol20 ) }.
% 4.42/4.85 parent0: (25744) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol22, skol23, skol23,
% 4.42/4.85 skol24, skol24, skol23, skol23, skol20 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26220) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.42/4.85 , Z, Z ) }.
% 4.42/4.85 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 4.42/4.85 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Z
% 4.42/4.85 T := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (127) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 4.42/4.85 circle( X, Y, Z, Z ) }.
% 4.42/4.85 parent0: (26220) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.42/4.85 , Z, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26221) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.42/4.85 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.42/4.85 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 4.42/4.85 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.42/4.85 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := X
% 4.42/4.85 T := Y
% 4.42/4.85 U := Z
% 4.42/4.85 W := X
% 4.42/4.85 V0 := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 4.42/4.85 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.42/4.85 parent0: (26221) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.42/4.85 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 3 ==> 3
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26224) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 4.42/4.85 , Z, X ) }.
% 4.42/4.85 parent0: (26224) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26226) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 4.42/4.85 , Z, X ) }.
% 4.42/4.85 parent0: (26226) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26230) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 4.42/4.85 X ), ! coll( Z, T, Y ) }.
% 4.42/4.85 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.42/4.85 ), coll( Y, Z, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 4.42/4.85 ( X, Y, T ), coll( Z, X, T ) }.
% 4.42/4.85 parent0: (26230) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 4.42/4.85 , ! coll( Z, T, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := T
% 4.42/4.85 Z := X
% 4.42/4.85 T := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 2
% 4.42/4.85 1 ==> 0
% 4.42/4.85 2 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26232) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 parent0[0, 1]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 4.42/4.85 coll( X, Y, T ), coll( Z, X, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z
% 4.42/4.85 , X, Z ) }.
% 4.42/4.85 parent0: (26232) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26233) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 4.42/4.85 X ), ! coll( Z, T, Y ) }.
% 4.42/4.85 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 4.42/4.85 X, Z ) }.
% 4.42/4.85 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.42/4.85 ), coll( Y, Z, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll
% 4.42/4.85 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.42/4.85 parent0: (26233) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 4.42/4.85 , ! coll( Z, T, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26235) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 parent0[1, 2]: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), !
% 4.42/4.85 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X
% 4.42/4.85 , Z, Y ) }.
% 4.42/4.85 parent0: (26235) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26236) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 4.42/4.85 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 4.42/4.85 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.42/4.85 , Z, T ), para( X, Y, Z, T ) }.
% 4.42/4.85 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.42/4.85 X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := U
% 4.42/4.85 T := W
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := T
% 4.42/4.85 Z := X
% 4.42/4.85 T := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.42/4.85 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.42/4.85 parent0: (26236) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 4.42/4.85 U, W ), ! perp( Z, T, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := U
% 4.42/4.85 Y := W
% 4.42/4.85 Z := X
% 4.42/4.85 T := Y
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26240) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T, Z
% 4.42/4.85 , T ) }.
% 4.42/4.85 parent0[0, 2]: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 4.42/4.85 para( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (285) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para
% 4.42/4.85 ( Z, T, Z, T ) }.
% 4.42/4.85 parent0: (26240) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T,
% 4.42/4.85 Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26241) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol26, skol27 )
% 4.42/4.85 }.
% 4.42/4.85 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.42/4.85 }.
% 4.42/4.85 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol27, skol26 )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol26
% 4.42/4.85 Y := skol27
% 4.42/4.85 Z := skol20
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (310) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol20, skol26,
% 4.42/4.85 skol27 ) }.
% 4.42/4.85 parent0: (26241) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol26, skol27 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26242) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol26 )
% 4.42/4.85 }.
% 4.42/4.85 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.42/4.85 }.
% 4.42/4.85 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol25
% 4.42/4.85 Y := skol26
% 4.42/4.85 Z := skol23
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (312) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol23, skol25,
% 4.42/4.85 skol26 ) }.
% 4.42/4.85 parent0: (26242) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26244) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 4.42/4.85 ( X, Z, Y, T ) }.
% 4.42/4.85 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.42/4.85 , Y, T, Z ) }.
% 4.42/4.85 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.42/4.85 , Z, Y, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (339) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.42/4.85 cyclic( X, Z, T, Y ) }.
% 4.42/4.85 parent0: (26244) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 4.42/4.85 , Z, Y, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26246) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 4.42/4.85 ( Y, X, Z, T ) }.
% 4.42/4.85 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.42/4.85 , Z, Y, T ) }.
% 4.42/4.85 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.42/4.85 , X, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (351) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.42/4.85 cyclic( Y, Z, X, T ) }.
% 4.42/4.85 parent0: (26246) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 4.42/4.85 , X, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26248) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 4.42/4.85 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.42/4.85 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.42/4.85 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.42/4.85 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.42/4.85 , Y, T, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := T
% 4.42/4.85 T := U
% 4.42/4.85 U := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := U
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (383) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.42/4.85 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.42/4.85 parent0: (26248) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.42/4.85 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26251) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 parent1[0]: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X,
% 4.42/4.85 Z, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (400) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll(
% 4.42/4.85 Z, X, X ) }.
% 4.42/4.85 parent0: (26251) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26252) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[0]: (400) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 4.42/4.85 , X, X ) }.
% 4.42/4.85 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (405) {G6,W8,D2,L2,V3,M2} R(400,1) { coll( X, Y, Y ), ! coll(
% 4.42/4.85 Z, Y, X ) }.
% 4.42/4.85 parent0: (26252) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26253) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[0]: (400) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 4.42/4.85 , X, X ) }.
% 4.42/4.85 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (406) {G6,W8,D2,L2,V3,M2} R(400,0) { coll( X, Y, Y ), ! coll(
% 4.42/4.85 Y, X, Z ) }.
% 4.42/4.85 parent0: (26253) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26255) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[0]: (400) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 4.42/4.85 , X, X ) }.
% 4.42/4.85 parent1[0]: (405) {G6,W8,D2,L2,V3,M2} R(400,1) { coll( X, Y, Y ), ! coll( Z
% 4.42/4.85 , Y, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (407) {G7,W8,D2,L2,V3,M2} R(405,400) { ! coll( X, Y, Z ), coll
% 4.42/4.85 ( Y, Z, Z ) }.
% 4.42/4.85 parent0: (26255) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26256) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[1]: (406) {G6,W8,D2,L2,V3,M2} R(400,0) { coll( X, Y, Y ), ! coll( Y
% 4.42/4.85 , X, Z ) }.
% 4.42/4.85 parent1[0]: (406) {G6,W8,D2,L2,V3,M2} R(400,0) { coll( X, Y, Y ), ! coll( Y
% 4.42/4.85 , X, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (412) {G7,W8,D2,L2,V3,M2} R(406,406) { ! coll( X, Y, Z ), coll
% 4.42/4.85 ( X, Y, Y ) }.
% 4.42/4.85 parent0: (26256) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26260) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 4.42/4.85 X ), ! coll( X, Y, T ) }.
% 4.42/4.85 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.42/4.85 ), coll( Y, Z, X ) }.
% 4.42/4.85 parent1[1]: (412) {G7,W8,D2,L2,V3,M2} R(406,406) { ! coll( X, Y, Z ), coll
% 4.42/4.85 ( X, Y, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 T := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (415) {G8,W12,D2,L3,V4,M3} R(412,2) { ! coll( X, Y, Z ), !
% 4.42/4.85 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.42/4.85 parent0: (26260) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.42/4.85 , ! coll( X, Y, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := T
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 2
% 4.42/4.85 2 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26263) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.42/4.85 }.
% 4.42/4.85 parent0[0, 1]: (415) {G8,W12,D2,L3,V4,M3} R(412,2) { ! coll( X, Y, Z ), !
% 4.42/4.85 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (416) {G9,W8,D2,L2,V3,M2} F(415) { ! coll( X, Y, Z ), coll( Z
% 4.42/4.85 , Y, X ) }.
% 4.42/4.85 parent0: (26263) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26264) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[0]: (416) {G9,W8,D2,L2,V3,M2} F(415) { ! coll( X, Y, Z ), coll( Z,
% 4.42/4.85 Y, X ) }.
% 4.42/4.85 parent1[1]: (407) {G7,W8,D2,L2,V3,M2} R(405,400) { ! coll( X, Y, Z ), coll
% 4.42/4.85 ( Y, Z, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (419) {G10,W8,D2,L2,V3,M2} R(416,407) { coll( X, X, Y ), !
% 4.42/4.85 coll( Z, Y, X ) }.
% 4.42/4.85 parent0: (26264) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26265) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[0]: (416) {G9,W8,D2,L2,V3,M2} F(415) { ! coll( X, Y, Z ), coll( Z,
% 4.42/4.85 Y, X ) }.
% 4.42/4.85 parent1[0]: (405) {G6,W8,D2,L2,V3,M2} R(400,1) { coll( X, Y, Y ), ! coll( Z
% 4.42/4.85 , Y, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (420) {G10,W8,D2,L2,V3,M2} R(416,405) { coll( X, X, Y ), !
% 4.42/4.85 coll( Z, X, Y ) }.
% 4.42/4.85 parent0: (26265) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26267) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 4.42/4.85 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.42/4.85 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.42/4.85 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.42/4.85 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.42/4.85 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 V0 := V0
% 4.42/4.85 V1 := V1
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := U
% 4.42/4.85 T := W
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 V0 := V0
% 4.42/4.85 V1 := V1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (437) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 4.42/4.85 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 4.42/4.85 parent0: (26267) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 4.42/4.85 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := U
% 4.42/4.85 T := W
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 V0 := V0
% 4.42/4.85 V1 := V1
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26268) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[1]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 4.42/4.85 Z, X ) }.
% 4.42/4.85 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (467) {G2,W8,D2,L2,V3,M2} R(69,166) { ! midp( X, Y, Z ), coll
% 4.42/4.85 ( Z, X, Y ) }.
% 4.42/4.85 parent0: (26268) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26269) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[1]: (420) {G10,W8,D2,L2,V3,M2} R(416,405) { coll( X, X, Y ), ! coll
% 4.42/4.85 ( Z, X, Y ) }.
% 4.42/4.85 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (474) {G11,W8,D2,L2,V3,M2} R(69,420) { ! midp( X, Y, Z ), coll
% 4.42/4.85 ( Y, Y, Z ) }.
% 4.42/4.85 parent0: (26269) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26270) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 )
% 4.42/4.85 }.
% 4.42/4.85 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.42/4.85 }.
% 4.42/4.85 parent1[0]: (312) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol23, skol25,
% 4.42/4.85 skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol23
% 4.42/4.85 Y := skol25
% 4.42/4.85 Z := skol26
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (488) {G2,W4,D2,L1,V0,M1} R(69,312) { coll( skol23, skol25,
% 4.42/4.85 skol26 ) }.
% 4.42/4.85 parent0: (26270) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26271) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 )
% 4.42/4.85 }.
% 4.42/4.85 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.42/4.85 }.
% 4.42/4.85 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol23
% 4.42/4.85 Y := skol26
% 4.42/4.85 Z := skol25
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (498) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol23, skol26,
% 4.42/4.85 skol25 ) }.
% 4.42/4.85 parent0: (26271) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26272) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 4.42/4.85 }.
% 4.42/4.85 parent0[1]: (419) {G10,W8,D2,L2,V3,M2} R(416,407) { coll( X, X, Y ), ! coll
% 4.42/4.85 ( Z, Y, X ) }.
% 4.42/4.85 parent1[0]: (488) {G2,W4,D2,L1,V0,M1} R(69,312) { coll( skol23, skol25,
% 4.42/4.85 skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol26
% 4.42/4.85 Y := skol25
% 4.42/4.85 Z := skol23
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (508) {G11,W4,D2,L1,V0,M1} R(488,419) { coll( skol26, skol26,
% 4.42/4.85 skol25 ) }.
% 4.42/4.85 parent0: (26272) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26273) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1
% 4.42/4.85 , V2, V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W )
% 4.42/4.85 }.
% 4.42/4.85 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 4.42/4.85 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 4.42/4.85 , U, W, V0, V1 ) }.
% 4.42/4.85 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.42/4.85 , Y, U, W, Z, T, U, W ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := V0
% 4.42/4.85 W := V1
% 4.42/4.85 V0 := V2
% 4.42/4.85 V1 := V3
% 4.42/4.85 V2 := U
% 4.42/4.85 V3 := W
% 4.42/4.85 V4 := Z
% 4.42/4.85 V5 := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := U
% 4.42/4.85 T := W
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (721) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 4.42/4.85 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 4.42/4.85 V3 ) }.
% 4.42/4.85 parent0: (26273) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1, V2
% 4.42/4.85 , V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := U
% 4.42/4.85 T := W
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 V0 := V0
% 4.42/4.85 V1 := V1
% 4.42/4.85 V2 := V2
% 4.42/4.85 V3 := V3
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 2
% 4.42/4.85 2 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26275) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 4.42/4.85 ), ! para( X, Y, T, Z ) }.
% 4.42/4.85 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.42/4.85 , Y, U, W, Z, T, U, W ) }.
% 4.42/4.85 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 4.42/4.85 T, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := T
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (729) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 4.42/4.85 , Z, T ), ! para( X, Y, W, U ) }.
% 4.42/4.85 parent0: (26275) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 4.42/4.85 , ! para( X, Y, T, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := U
% 4.42/4.85 T := W
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26276) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol26, X ),
% 4.42/4.85 coll( skol25, X, skol23 ) }.
% 4.42/4.85 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.42/4.85 ), coll( Y, Z, X ) }.
% 4.42/4.85 parent1[0]: (498) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol23, skol26,
% 4.42/4.85 skol25 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol23
% 4.42/4.85 Y := skol25
% 4.42/4.85 Z := X
% 4.42/4.85 T := skol26
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (733) {G2,W8,D2,L2,V1,M2} R(498,2) { ! coll( skol23, skol26, X
% 4.42/4.85 ), coll( skol25, X, skol23 ) }.
% 4.42/4.85 parent0: (26276) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol26, X ), coll(
% 4.42/4.85 skol25, X, skol23 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26278) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 4.42/4.85 , X, X ), ! para( X, Y, X, Y ) }.
% 4.42/4.85 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.42/4.85 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.42/4.85 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.42/4.85 , Y, U, W, Z, T, U, W ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := X
% 4.42/4.85 T := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 T := Y
% 4.42/4.85 U := X
% 4.42/4.85 W := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (775) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 4.42/4.85 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.42/4.85 parent0: (26278) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 4.42/4.85 , X ), ! para( X, Y, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26279) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.42/4.85 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.42/4.85 cyclic( X, Y, Z, T ) }.
% 4.42/4.85 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.42/4.85 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.42/4.85 ), cong( X, Y, Z, T ) }.
% 4.42/4.85 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 4.42/4.85 Z, X, Z, Y, T, X, T, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 T := Y
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26281) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.42/4.85 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.42/4.85 parent0[0, 2]: (26279) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.42/4.85 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.42/4.85 cyclic( X, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (926) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 4.42/4.85 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 4.42/4.85 parent0: (26281) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.42/4.85 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 3
% 4.42/4.85 3 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26286) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.42/4.85 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.42/4.85 parent0[0, 2]: (926) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 4.42/4.85 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (958) {G2,W15,D2,L3,V3,M3} F(926) { ! cyclic( X, Y, Z, X ), !
% 4.42/4.85 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.42/4.85 parent0: (26286) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.42/4.85 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26288) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol23 ), !
% 4.42/4.85 coll( X, skol23, skol26 ) }.
% 4.42/4.85 parent0[0]: (733) {G2,W8,D2,L2,V1,M2} R(498,2) { ! coll( skol23, skol26, X
% 4.42/4.85 ), coll( skol25, X, skol23 ) }.
% 4.42/4.85 parent1[1]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.42/4.85 Z, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := skol23
% 4.42/4.85 Z := skol26
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (1144) {G3,W8,D2,L2,V1,M2} R(733,167) { coll( skol25, X,
% 4.42/4.85 skol23 ), ! coll( X, skol23, skol26 ) }.
% 4.42/4.85 parent0: (26288) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol23 ), ! coll(
% 4.42/4.85 X, skol23, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26290) {G2,W8,D2,L2,V1,M2} { coll( X, skol23, skol25 ), !
% 4.42/4.85 coll( X, skol23, skol26 ) }.
% 4.42/4.85 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.42/4.85 Z, X ) }.
% 4.42/4.85 parent1[0]: (1144) {G3,W8,D2,L2,V1,M2} R(733,167) { coll( skol25, X, skol23
% 4.42/4.85 ), ! coll( X, skol23, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol25
% 4.42/4.85 Y := X
% 4.42/4.85 Z := skol23
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (1995) {G4,W8,D2,L2,V1,M2} R(1144,167) { ! coll( X, skol23,
% 4.42/4.85 skol26 ), coll( X, skol23, skol25 ) }.
% 4.42/4.85 parent0: (26290) {G2,W8,D2,L2,V1,M2} { coll( X, skol23, skol25 ), ! coll(
% 4.42/4.85 X, skol23, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26293) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol23, Y ), coll(
% 4.42/4.85 skol25, Y, X ), ! coll( X, skol23, skol26 ) }.
% 4.42/4.85 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.42/4.85 ), coll( Y, Z, X ) }.
% 4.42/4.85 parent1[1]: (1995) {G4,W8,D2,L2,V1,M2} R(1144,167) { ! coll( X, skol23,
% 4.42/4.85 skol26 ), coll( X, skol23, skol25 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := skol25
% 4.42/4.85 Z := Y
% 4.42/4.85 T := skol23
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (2013) {G5,W12,D2,L3,V2,M3} R(1995,2) { ! coll( X, skol23,
% 4.42/4.85 skol26 ), ! coll( X, skol23, Y ), coll( skol25, Y, X ) }.
% 4.42/4.85 parent0: (26293) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol23, Y ), coll(
% 4.42/4.85 skol25, Y, X ), ! coll( X, skol23, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 1
% 4.42/4.85 1 ==> 2
% 4.42/4.85 2 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26297) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol23, skol26 ), coll(
% 4.42/4.85 skol25, skol26, X ) }.
% 4.42/4.85 parent0[0, 1]: (2013) {G5,W12,D2,L3,V2,M3} R(1995,2) { ! coll( X, skol23,
% 4.42/4.85 skol26 ), ! coll( X, skol23, Y ), coll( skol25, Y, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := skol26
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (2018) {G6,W8,D2,L2,V1,M2} F(2013) { ! coll( X, skol23, skol26
% 4.42/4.85 ), coll( skol25, skol26, X ) }.
% 4.42/4.85 parent0: (26297) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol23, skol26 ), coll(
% 4.42/4.85 skol25, skol26, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26298) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol26, skol20,
% 4.42/4.85 skol27 ) }.
% 4.42/4.85 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.42/4.85 Z ) }.
% 4.42/4.85 parent1[0]: (310) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol20, skol26,
% 4.42/4.85 skol27 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol20
% 4.42/4.85 Y := skol26
% 4.42/4.85 Z := skol27
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (2486) {G2,W5,D2,L1,V0,M1} R(68,310) { cong( skol20, skol26,
% 4.42/4.85 skol20, skol27 ) }.
% 4.42/4.85 parent0: (26298) {G1,W5,D2,L1,V0,M1} { cong( skol20, skol26, skol20,
% 4.42/4.85 skol27 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26299) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 4.42/4.85 midp( skol23, skol26, X ) }.
% 4.42/4.85 parent0[0]: (2018) {G6,W8,D2,L2,V1,M2} F(2013) { ! coll( X, skol23, skol26
% 4.42/4.85 ), coll( skol25, skol26, X ) }.
% 4.42/4.85 parent1[1]: (467) {G2,W8,D2,L2,V3,M2} R(69,166) { ! midp( X, Y, Z ), coll(
% 4.42/4.85 Z, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := skol23
% 4.42/4.85 Y := skol26
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (3305) {G7,W8,D2,L2,V1,M2} R(2018,467) { coll( skol25, skol26
% 4.42/4.85 , X ), ! midp( skol23, skol26, X ) }.
% 4.42/4.85 parent0: (26299) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 4.42/4.85 skol23, skol26, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26300) {G2,W5,D2,L1,V0,M1} { circle( skol20, skol26, skol27,
% 4.42/4.85 skol27 ) }.
% 4.42/4.85 parent0[0]: (127) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 4.42/4.85 ( X, Y, Z, Z ) }.
% 4.42/4.85 parent1[0]: (2486) {G2,W5,D2,L1,V0,M1} R(68,310) { cong( skol20, skol26,
% 4.42/4.85 skol20, skol27 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol20
% 4.42/4.85 Y := skol26
% 4.42/4.85 Z := skol27
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (7193) {G3,W5,D2,L1,V0,M1} R(127,2486) { circle( skol20,
% 4.42/4.85 skol26, skol27, skol27 ) }.
% 4.42/4.85 parent0: (26300) {G2,W5,D2,L1,V0,M1} { circle( skol20, skol26, skol27,
% 4.42/4.85 skol27 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26301) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 4.42/4.85 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 4.42/4.85 midp( skol23, skol26, skol25 ) }.
% 4.42/4.85 parent0[2]: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 4.42/4.85 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.42/4.85 parent1[0]: (3305) {G7,W8,D2,L2,V1,M2} R(2018,467) { coll( skol25, skol26,
% 4.42/4.85 X ), ! midp( skol23, skol26, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := skol26
% 4.42/4.85 Z := skol25
% 4.42/4.85 T := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := skol25
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26304) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ),
% 4.42/4.85 midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol23, skol26, skol25 )
% 4.42/4.85 }.
% 4.42/4.85 parent0[1]: (26301) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 4.42/4.85 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 4.42/4.85 midp( skol23, skol26, skol25 ) }.
% 4.42/4.85 parent1[0]: (508) {G11,W4,D2,L1,V0,M1} R(488,419) { coll( skol26, skol26,
% 4.42/4.85 skol25 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (8100) {G12,W14,D3,L3,V2,M3} R(147,3305);r(508) { ! midp( X,
% 4.42/4.85 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol23,
% 4.42/4.85 skol26, skol25 ) }.
% 4.42/4.85 parent0: (26304) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ), midp
% 4.42/4.85 ( skol7( skol26, Y ), skol26, Y ), ! midp( skol23, skol26, skol25 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 1 ==> 1
% 4.42/4.85 2 ==> 2
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 factor: (26306) {G12,W10,D3,L2,V1,M2} { ! midp( skol23, skol26, skol25 ),
% 4.42/4.85 midp( skol7( skol26, X ), skol26, X ) }.
% 4.42/4.85 parent0[0, 2]: (8100) {G12,W14,D3,L3,V2,M3} R(147,3305);r(508) { ! midp( X
% 4.42/4.85 , skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol23
% 4.42/4.85 , skol26, skol25 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol23
% 4.42/4.85 Y := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26307) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 4.42/4.85 , X ) }.
% 4.42/4.85 parent0[0]: (26306) {G12,W10,D3,L2,V1,M2} { ! midp( skol23, skol26, skol25
% 4.42/4.85 ), midp( skol7( skol26, X ), skol26, X ) }.
% 4.42/4.85 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (8221) {G13,W6,D3,L1,V1,M1} F(8100);r(119) { midp( skol7(
% 4.42/4.85 skol26, X ), skol26, X ) }.
% 4.42/4.85 parent0: (26307) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 4.42/4.85 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26308) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol20 ),
% 4.42/4.85 skol26, skol26, skol20 ) }.
% 4.42/4.85 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.42/4.85 skol12( X, Y ), X, X, Y ) }.
% 4.42/4.85 parent1[0]: (7193) {G3,W5,D2,L1,V0,M1} R(127,2486) { circle( skol20, skol26
% 4.42/4.85 , skol27, skol27 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol26
% 4.42/4.85 Y := skol20
% 4.42/4.85 Z := skol27
% 4.42/4.85 T := skol27
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (8559) {G4,W7,D3,L1,V0,M1} R(7193,100) { perp( skol12( skol26
% 4.42/4.85 , skol20 ), skol26, skol26, skol20 ) }.
% 4.42/4.85 parent0: (26308) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol20 ),
% 4.42/4.85 skol26, skol26, skol20 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26309) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 4.42/4.85 parent0[0]: (474) {G11,W8,D2,L2,V3,M2} R(69,420) { ! midp( X, Y, Z ), coll
% 4.42/4.85 ( Y, Y, Z ) }.
% 4.42/4.85 parent1[0]: (8221) {G13,W6,D3,L1,V1,M1} F(8100);r(119) { midp( skol7(
% 4.42/4.85 skol26, X ), skol26, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol7( skol26, X )
% 4.42/4.85 Y := skol26
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9134) {G14,W4,D2,L1,V1,M1} R(8221,474) { coll( skol26, skol26
% 4.42/4.85 , X ) }.
% 4.42/4.85 parent0: (26309) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26310) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 4.42/4.85 coll( X, Y, skol26 ) }.
% 4.42/4.85 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.42/4.85 ), coll( Y, Z, X ) }.
% 4.42/4.85 parent1[0]: (9134) {G14,W4,D2,L1,V1,M1} R(8221,474) { coll( skol26, skol26
% 4.42/4.85 , X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol26
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 T := skol26
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26312) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 4.42/4.85 parent0[0]: (26310) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 4.42/4.85 coll( X, Y, skol26 ) }.
% 4.42/4.85 parent1[0]: (9134) {G14,W4,D2,L1,V1,M1} R(8221,474) { coll( skol26, skol26
% 4.42/4.85 , X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9422) {G15,W4,D2,L1,V2,M1} R(9134,2);r(9134) { coll( Y, X,
% 4.42/4.85 skol26 ) }.
% 4.42/4.85 parent0: (26312) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26313) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 4.42/4.85 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.42/4.85 Z, X ) }.
% 4.42/4.85 parent1[0]: (9422) {G15,W4,D2,L1,V2,M1} R(9134,2);r(9134) { coll( Y, X,
% 4.42/4.85 skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := skol26
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9697) {G16,W4,D2,L1,V2,M1} R(9422,167) { coll( X, skol26, Y )
% 4.42/4.85 }.
% 4.42/4.85 parent0: (26313) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26314) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 4.42/4.85 , Z, X ) }.
% 4.42/4.85 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.42/4.85 ), coll( Y, Z, X ) }.
% 4.42/4.85 parent1[0]: (9697) {G16,W4,D2,L1,V2,M1} R(9422,167) { coll( X, skol26, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := skol26
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26316) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.42/4.85 parent0[0]: (26314) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 4.42/4.85 , Z, X ) }.
% 4.42/4.85 parent1[0]: (9697) {G16,W4,D2,L1,V2,M1} R(9422,167) { coll( X, skol26, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9712) {G17,W4,D2,L1,V3,M1} R(9697,2);r(9697) { coll( Z, Y, X
% 4.42/4.85 ) }.
% 4.42/4.85 parent0: (26316) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26317) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol20, skol12(
% 4.42/4.85 skol26, skol20 ), skol26 ) }.
% 4.42/4.85 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.42/4.85 X, Y ) }.
% 4.42/4.85 parent1[0]: (8559) {G4,W7,D3,L1,V0,M1} R(7193,100) { perp( skol12( skol26,
% 4.42/4.85 skol20 ), skol26, skol26, skol20 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol12( skol26, skol20 )
% 4.42/4.85 Y := skol26
% 4.42/4.85 Z := skol26
% 4.42/4.85 T := skol20
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9960) {G5,W7,D3,L1,V0,M1} R(8559,7) { perp( skol26, skol20,
% 4.42/4.85 skol12( skol26, skol20 ), skol26 ) }.
% 4.42/4.85 parent0: (26317) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol20, skol12(
% 4.42/4.85 skol26, skol20 ), skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26318) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol20, skol26,
% 4.42/4.85 skol12( skol26, skol20 ) ) }.
% 4.42/4.85 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.42/4.85 T, Z ) }.
% 4.42/4.85 parent1[0]: (9960) {G5,W7,D3,L1,V0,M1} R(8559,7) { perp( skol26, skol20,
% 4.42/4.85 skol12( skol26, skol20 ), skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol26
% 4.42/4.85 Y := skol20
% 4.42/4.85 Z := skol12( skol26, skol20 )
% 4.42/4.85 T := skol26
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9969) {G6,W7,D3,L1,V0,M1} R(9960,6) { perp( skol26, skol20,
% 4.42/4.85 skol26, skol12( skol26, skol20 ) ) }.
% 4.42/4.85 parent0: (26318) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol20, skol26,
% 4.42/4.85 skol12( skol26, skol20 ) ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26319) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.42/4.85 skol20 ), skol26, skol20 ) }.
% 4.42/4.85 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.42/4.85 X, Y ) }.
% 4.42/4.85 parent1[0]: (9969) {G6,W7,D3,L1,V0,M1} R(9960,6) { perp( skol26, skol20,
% 4.42/4.85 skol26, skol12( skol26, skol20 ) ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol26
% 4.42/4.85 Y := skol20
% 4.42/4.85 Z := skol26
% 4.42/4.85 T := skol12( skol26, skol20 )
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9977) {G7,W7,D3,L1,V0,M1} R(9969,7) { perp( skol26, skol12(
% 4.42/4.85 skol26, skol20 ), skol26, skol20 ) }.
% 4.42/4.85 parent0: (26319) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.42/4.85 skol20 ), skol26, skol20 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26320) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.42/4.85 skol20 ), skol20, skol26 ) }.
% 4.42/4.85 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.42/4.85 T, Z ) }.
% 4.42/4.85 parent1[0]: (9977) {G7,W7,D3,L1,V0,M1} R(9969,7) { perp( skol26, skol12(
% 4.42/4.85 skol26, skol20 ), skol26, skol20 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol26
% 4.42/4.85 Y := skol12( skol26, skol20 )
% 4.42/4.85 Z := skol26
% 4.42/4.85 T := skol20
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9986) {G8,W7,D3,L1,V0,M1} R(9977,6) { perp( skol26, skol12(
% 4.42/4.85 skol26, skol20 ), skol20, skol26 ) }.
% 4.42/4.85 parent0: (26320) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.42/4.85 skol20 ), skol20, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26321) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol26,
% 4.42/4.85 skol12( skol26, skol20 ) ) }.
% 4.42/4.85 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.42/4.85 X, Y ) }.
% 4.42/4.85 parent1[0]: (9986) {G8,W7,D3,L1,V0,M1} R(9977,6) { perp( skol26, skol12(
% 4.42/4.85 skol26, skol20 ), skol20, skol26 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol26
% 4.42/4.85 Y := skol12( skol26, skol20 )
% 4.42/4.85 Z := skol20
% 4.42/4.85 T := skol26
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9995) {G9,W7,D3,L1,V0,M1} R(9986,7) { perp( skol20, skol26,
% 4.42/4.85 skol26, skol12( skol26, skol20 ) ) }.
% 4.42/4.85 parent0: (26321) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol26,
% 4.42/4.85 skol12( skol26, skol20 ) ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26322) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol26, skol20
% 4.42/4.85 ), X, Y ), perp( skol16( skol20, X, Y ), skol20, X, Y ) }.
% 4.42/4.85 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.42/4.85 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.42/4.85 parent1[0]: (9995) {G9,W7,D3,L1,V0,M1} R(9986,7) { perp( skol20, skol26,
% 4.42/4.85 skol26, skol12( skol26, skol20 ) ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol20
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 T := skol12( skol26, skol20 )
% 4.42/4.85 U := skol26
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26323) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol20, X, Y ),
% 4.42/4.85 skol20, X, Y ) }.
% 4.42/4.85 parent0[0]: (26322) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol26, skol20
% 4.42/4.85 ), X, Y ), perp( skol16( skol20, X, Y ), skol20, X, Y ) }.
% 4.42/4.85 parent1[0]: (9712) {G17,W4,D2,L1,V3,M1} R(9697,2);r(9697) { coll( Z, Y, X )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := skol12( skol26, skol20 )
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (9997) {G18,W8,D3,L1,V2,M1} R(9995,110);r(9712) { perp( skol16
% 4.42/4.85 ( skol20, X, Y ), skol20, X, Y ) }.
% 4.42/4.85 parent0: (26323) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol20, X, Y ),
% 4.42/4.85 skol20, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26324) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.42/4.85 parent0[0]: (285) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para
% 4.42/4.85 ( Z, T, Z, T ) }.
% 4.42/4.85 parent1[0]: (9997) {G18,W8,D3,L1,V2,M1} R(9995,110);r(9712) { perp( skol16
% 4.42/4.85 ( skol20, X, Y ), skol20, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := skol16( skol20, X, Y )
% 4.42/4.85 Y := skol20
% 4.42/4.85 Z := X
% 4.42/4.85 T := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (12977) {G19,W5,D2,L1,V2,M1} R(9997,285) { para( X, Y, X, Y )
% 4.42/4.85 }.
% 4.42/4.85 parent0: (26324) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26325) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.42/4.85 , Z, X, Z ) }.
% 4.42/4.85 parent0[0]: (775) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 4.42/4.85 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.42/4.85 parent1[0]: (9712) {G17,W4,D2,L1,V3,M1} R(9697,2);r(9697) { coll( Z, Y, X )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Y
% 4.42/4.85 Y := X
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26326) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.42/4.85 parent0[1]: (26325) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.42/4.85 , Z, X, Z ) }.
% 4.42/4.85 parent1[0]: (12977) {G19,W5,D2,L1,V2,M1} R(9997,285) { para( X, Y, X, Y )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (20112) {G20,W5,D2,L1,V3,M1} S(775);r(9712);r(12977) { cyclic
% 4.42/4.85 ( Z, Y, X, X ) }.
% 4.42/4.85 parent0: (26326) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26327) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.42/4.85 parent0[0]: (351) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.42/4.85 cyclic( Y, Z, X, T ) }.
% 4.42/4.85 parent1[0]: (20112) {G20,W5,D2,L1,V3,M1} S(775);r(9712);r(12977) { cyclic(
% 4.42/4.85 Z, Y, X, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (20131) {G21,W5,D2,L1,V3,M1} R(20112,351) { cyclic( X, Y, Z, Y
% 4.42/4.85 ) }.
% 4.42/4.85 parent0: (26327) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26328) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.42/4.85 parent0[0]: (339) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.42/4.85 cyclic( X, Z, T, Y ) }.
% 4.42/4.85 parent1[0]: (20112) {G20,W5,D2,L1,V3,M1} S(775);r(9712);r(12977) { cyclic(
% 4.42/4.85 Z, Y, X, X ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (20133) {G21,W5,D2,L1,V3,M1} R(20112,339) { cyclic( X, Y, Y, Z
% 4.42/4.85 ) }.
% 4.42/4.85 parent0: (26328) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26330) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.42/4.85 ( Y, Y, Z, T ) }.
% 4.42/4.85 parent0[2]: (383) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.42/4.85 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.42/4.85 parent1[0]: (20131) {G21,W5,D2,L1,V3,M1} R(20112,351) { cyclic( X, Y, Z, Y
% 4.42/4.85 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Y
% 4.42/4.85 T := Z
% 4.42/4.85 U := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26331) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.42/4.85 parent0[0]: (26330) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.42/4.85 ( Y, Y, Z, T ) }.
% 4.42/4.85 parent1[0]: (20133) {G21,W5,D2,L1,V3,M1} R(20112,339) { cyclic( X, Y, Y, Z
% 4.42/4.85 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (20138) {G22,W5,D2,L1,V3,M1} R(20131,383);r(20133) { cyclic( Y
% 4.42/4.85 , Y, Z, T ) }.
% 4.42/4.85 parent0: (26331) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := U
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26332) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.42/4.85 ( X, X, T, Y ) }.
% 4.42/4.85 parent0[0]: (383) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.42/4.85 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.42/4.85 parent1[0]: (20138) {G22,W5,D2,L1,V3,M1} R(20131,383);r(20133) { cyclic( Y
% 4.42/4.85 , Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 T := Z
% 4.42/4.85 U := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := U
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26334) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.42/4.85 parent0[1]: (26332) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.42/4.85 ( X, X, T, Y ) }.
% 4.42/4.85 parent1[0]: (20138) {G22,W5,D2,L1,V3,M1} R(20131,383);r(20133) { cyclic( Y
% 4.42/4.85 , Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := U
% 4.42/4.85 Y := X
% 4.42/4.85 Z := T
% 4.42/4.85 T := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (20146) {G23,W5,D2,L1,V4,M1} R(20138,383);r(20138) { cyclic( X
% 4.42/4.85 , Y, Z, T ) }.
% 4.42/4.85 parent0: (26334) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26337) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.42/4.85 , Y, X, Y ) }.
% 4.42/4.85 parent0[0]: (958) {G2,W15,D2,L3,V3,M3} F(926) { ! cyclic( X, Y, Z, X ), !
% 4.42/4.85 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.42/4.85 parent1[0]: (20146) {G23,W5,D2,L1,V4,M1} R(20138,383);r(20138) { cyclic( X
% 4.42/4.85 , Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26339) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.42/4.85 parent0[0]: (26337) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.42/4.85 , Y, X, Y ) }.
% 4.42/4.85 parent1[0]: (20146) {G23,W5,D2,L1,V4,M1} R(20138,383);r(20138) { cyclic( X
% 4.42/4.85 , Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (25421) {G24,W5,D2,L1,V2,M1} S(958);r(20146);r(20146) { cong(
% 4.42/4.85 X, Y, X, Y ) }.
% 4.42/4.85 parent0: (26339) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26340) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.42/4.85 X, Y, Z ) }.
% 4.42/4.85 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 4.42/4.85 T, Y, T ), perp( X, Y, Z, T ) }.
% 4.42/4.85 parent1[0]: (25421) {G24,W5,D2,L1,V2,M1} S(958);r(20146);r(20146) { cong( X
% 4.42/4.85 , Y, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 T := Z
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26342) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.42/4.85 parent0[0]: (26340) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.42/4.85 X, Y, Z ) }.
% 4.42/4.85 parent1[0]: (25421) {G24,W5,D2,L1,V2,M1} S(958);r(20146);r(20146) { cong( X
% 4.42/4.85 , Y, X, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (25432) {G25,W5,D2,L1,V3,M1} R(25421,56);r(25421) { perp( X, X
% 4.42/4.85 , Z, Y ) }.
% 4.42/4.85 parent0: (26342) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26343) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.42/4.85 X, T, U ) }.
% 4.42/4.85 parent0[0]: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.42/4.85 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.42/4.85 parent1[0]: (25432) {G25,W5,D2,L1,V3,M1} R(25421,56);r(25421) { perp( X, X
% 4.42/4.85 , Z, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := X
% 4.42/4.85 Z := Y
% 4.42/4.85 T := Z
% 4.42/4.85 U := T
% 4.42/4.85 W := U
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := Y
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26345) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.42/4.85 parent0[1]: (26343) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.42/4.85 X, T, U ) }.
% 4.42/4.85 parent1[0]: (25432) {G25,W5,D2,L1,V3,M1} R(25421,56);r(25421) { perp( X, X
% 4.42/4.85 , Z, Y ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := U
% 4.42/4.85 Y := Z
% 4.42/4.85 Z := T
% 4.42/4.85 T := X
% 4.42/4.85 U := Y
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := U
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := X
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (25461) {G26,W5,D2,L1,V4,M1} R(25432,273);r(25432) { para( X,
% 4.42/4.85 Y, Z, T ) }.
% 4.42/4.85 parent0: (26345) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26346) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[1]: (729) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 4.42/4.85 , Z, T ), ! para( X, Y, W, U ) }.
% 4.42/4.85 parent1[0]: (25461) {G26,W5,D2,L1,V4,M1} R(25432,273);r(25432) { para( X, Y
% 4.42/4.85 , Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := W
% 4.42/4.85 T := U
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (25473) {G27,W9,D2,L1,V6,M1} R(25461,729) { eqangle( X, Y, Z,
% 4.42/4.85 T, U, W, Z, T ) }.
% 4.42/4.85 parent0: (26346) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26347) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 4.42/4.85 ) }.
% 4.42/4.85 parent0[0]: (437) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 4.42/4.85 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 4.42/4.85 parent1[0]: (25473) {G27,W9,D2,L1,V6,M1} R(25461,729) { eqangle( X, Y, Z, T
% 4.42/4.85 , U, W, Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 V0 := Z
% 4.42/4.85 V1 := T
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (25614) {G28,W9,D2,L1,V6,M1} R(25473,437) { eqangle( X, Y, X,
% 4.42/4.85 Y, Z, T, U, W ) }.
% 4.42/4.85 parent0: (26347) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := T
% 4.42/4.85 Z := X
% 4.42/4.85 T := Y
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26348) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 4.42/4.85 X, Y, Z, T, U, W, V0, V1 ) }.
% 4.42/4.85 parent0[1]: (721) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 4.42/4.85 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 4.42/4.85 V3 ) }.
% 4.42/4.85 parent1[0]: (25614) {G28,W9,D2,L1,V6,M1} R(25473,437) { eqangle( X, Y, X, Y
% 4.42/4.85 , Z, T, U, W ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := Z
% 4.42/4.85 W := T
% 4.42/4.85 V0 := U
% 4.42/4.85 V1 := W
% 4.42/4.85 V2 := V0
% 4.42/4.85 V3 := V1
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := Z
% 4.42/4.85 Y := T
% 4.42/4.85 Z := U
% 4.42/4.85 T := W
% 4.42/4.85 U := V0
% 4.42/4.85 W := V1
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26349) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 4.42/4.85 V1 ) }.
% 4.42/4.85 parent0[0]: (26348) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 4.42/4.85 X, Y, Z, T, U, W, V0, V1 ) }.
% 4.42/4.85 parent1[0]: (25461) {G26,W5,D2,L1,V4,M1} R(25432,273);r(25432) { para( X, Y
% 4.42/4.85 , Z, T ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 V0 := V0
% 4.42/4.85 V1 := V1
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (25616) {G29,W9,D2,L1,V8,M1} R(25614,721);r(25461) { eqangle(
% 4.42/4.85 X, Y, Z, T, U, W, V0, V1 ) }.
% 4.42/4.85 parent0: (26349) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 4.42/4.85 }.
% 4.42/4.85 substitution0:
% 4.42/4.85 X := X
% 4.42/4.85 Y := Y
% 4.42/4.85 Z := Z
% 4.42/4.85 T := T
% 4.42/4.85 U := U
% 4.42/4.85 W := W
% 4.42/4.85 V0 := V0
% 4.42/4.85 V1 := V1
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 0 ==> 0
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 resolution: (26350) {G1,W0,D0,L0,V0,M0} { }.
% 4.42/4.85 parent0[0]: (124) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol22, skol23, skol23
% 4.42/4.85 , skol24, skol24, skol23, skol23, skol20 ) }.
% 4.42/4.85 parent1[0]: (25616) {G29,W9,D2,L1,V8,M1} R(25614,721);r(25461) { eqangle( X
% 4.42/4.85 , Y, Z, T, U, W, V0, V1 ) }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 substitution1:
% 4.42/4.85 X := skol22
% 4.42/4.85 Y := skol23
% 4.42/4.85 Z := skol23
% 4.42/4.85 T := skol24
% 4.42/4.85 U := skol24
% 4.42/4.85 W := skol23
% 4.42/4.85 V0 := skol23
% 4.42/4.85 V1 := skol20
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 subsumption: (25617) {G30,W0,D0,L0,V0,M0} R(25616,124) { }.
% 4.42/4.85 parent0: (26350) {G1,W0,D0,L0,V0,M0} { }.
% 4.42/4.85 substitution0:
% 4.42/4.85 end
% 4.42/4.85 permutation0:
% 4.42/4.85 end
% 4.42/4.85
% 4.42/4.85 Proof check complete!
% 4.42/4.85
% 4.42/4.85 Memory use:
% 4.42/4.85
% 4.42/4.85 space for terms: 400990
% 4.42/4.85 space for clauses: 1351374
% 4.42/4.85
% 4.42/4.85
% 4.42/4.85 clauses generated: 144868
% 4.42/4.85 clauses kept: 25618
% 4.42/4.85 clauses selected: 2138
% 4.42/4.85 clauses deleted: 8642
% 4.42/4.85 clauses inuse deleted: 771
% 4.42/4.85
% 4.42/4.85 subsentry: 2273579
% 4.42/4.85 literals s-matched: 1483150
% 4.42/4.85 literals matched: 814646
% 4.42/4.85 full subsumption: 369797
% 4.42/4.85
% 4.42/4.85 checksum: -337098010
% 4.42/4.85
% 4.42/4.85
% 4.42/4.85 Bliksem ended
%------------------------------------------------------------------------------