%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO645+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 02:55:19 EDT 2022
% Result : Theorem 17.42s 17.80s
% Output : Refutation 17.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO645+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % 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 : Fri Jun 17 23:36:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 *** allocated 15000 integers for termspace/termends
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13
% 0.74/1.13 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.74/1.13 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.74/1.13 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.74/1.13 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.13 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.74/1.13 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.74/1.13 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.13 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.74/1.13 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.74/1.13 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.74/1.13 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.74/1.13 ( X, Y, Z, T ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.74/1.13 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.74/1.13 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.13 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.74/1.13 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.74/1.13 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.74/1.13 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.13 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.74/1.13 ( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.74/1.13 ( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.74/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.74/1.13 T ) }.
% 0.74/1.13 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.74/1.13 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.74/1.13 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.74/1.13 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.74/1.13 ) }.
% 0.74/1.13 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.74/1.13 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.74/1.13 }.
% 0.74/1.13 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.74/1.13 Z, Y ) }.
% 0.74/1.13 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.74/1.13 X, Z ) }.
% 0.74/1.13 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.74/1.13 U ) }.
% 0.74/1.13 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.74/1.13 , Z ), midp( Z, X, Y ) }.
% 0.74/1.13 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.74/1.13 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.74/1.14 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.74/1.14 Z, Y ) }.
% 0.74/1.14 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.74/1.14 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.74/1.14 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.74/1.14 ( Y, X, X, Z ) }.
% 0.74/1.14 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.74/1.14 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.14 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.74/1.14 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.74/1.14 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.74/1.14 , W ) }.
% 0.74/1.14 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.74/1.14 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.74/1.14 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.74/1.14 , Y ) }.
% 0.74/1.14 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.74/1.14 , X, Z, U, Y, Y, T ) }.
% 0.74/1.14 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.74/1.14 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.74/1.14 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.74/1.14 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.74/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.74/1.14 .
% 0.74/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.74/1.14 ) }.
% 0.74/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.74/1.14 ) }.
% 0.74/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.74/1.14 , Z, T ) }.
% 0.74/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.74/1.14 , Z, T ) }.
% 0.74/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.74/1.14 , Z, T ) }.
% 0.74/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.74/1.14 , W, Z, T ), Z, T ) }.
% 0.74/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.74/1.14 , Y, Z, T ), X, Y ) }.
% 0.74/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.74/1.14 , W, Z, T ), Z, T ) }.
% 0.74/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.14 skol2( X, Y, Z, T ) ) }.
% 0.74/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.74/1.14 , W, Z, T ), Z, T ) }.
% 0.74/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.14 skol3( X, Y, Z, T ) ) }.
% 0.74/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.74/1.14 , T ) }.
% 0.74/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.74/1.14 ) ) }.
% 0.74/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.74/1.14 skol5( W, Y, Z, T ) ) }.
% 0.74/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.74/1.14 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.74/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.74/1.14 , X, T ) }.
% 0.74/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.74/1.14 W, X, Z ) }.
% 0.74/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.74/1.14 , Y, T ) }.
% 0.74/1.14 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.74/1.14 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.74/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.14 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.74/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.14 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.74/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.74/1.14 Z, T ) ) }.
% 0.74/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.74/1.14 , T ) ) }.
% 0.74/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.74/1.14 , X, Y ) }.
% 0.74/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.74/1.14 ) }.
% 0.74/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.74/1.14 , Y ) }.
% 0.74/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.74/1.14 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.74/1.14 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.74/1.14 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.74/1.14 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.41/4.79 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.41/4.79 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.41/4.79 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.41/4.79 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.41/4.79 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.41/4.79 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.41/4.79 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.41/4.79 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.41/4.79 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.41/4.79 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.41/4.79 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.41/4.79 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.41/4.79 X, Y, Z ) }.
% 4.41/4.79 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.41/4.79 }.
% 4.41/4.79 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.41/4.79 ) }.
% 4.41/4.79 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.41/4.79 skol17( X, Y ), X, Y ) }.
% 4.41/4.79 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.41/4.79 }.
% 4.41/4.79 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.41/4.79 ) }.
% 4.41/4.79 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.41/4.79 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.41/4.79 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.41/4.79 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.41/4.79 { perp( skol25, skol20, skol20, skol26 ) }.
% 4.41/4.79 { perp( skol25, skol22, skol22, skol26 ) }.
% 4.41/4.79 { circle( skol25, skol20, skol22, skol27 ) }.
% 4.41/4.79 { coll( skol23, skol26, skol20 ) }.
% 4.41/4.79 { circle( skol25, skol26, skol23, skol28 ) }.
% 4.41/4.79 { coll( skol24, skol26, skol22 ) }.
% 4.41/4.79 { circle( skol25, skol26, skol24, skol29 ) }.
% 4.41/4.79 { ! para( skol20, skol22, skol23, skol24 ) }.
% 4.41/4.79
% 4.41/4.79 percentage equality = 0.008772, percentage horn = 0.927419
% 4.41/4.79 This is a problem with some equality
% 4.41/4.79
% 4.41/4.79
% 4.41/4.79
% 4.41/4.79 Options Used:
% 4.41/4.79
% 4.41/4.79 useres = 1
% 4.41/4.79 useparamod = 1
% 4.41/4.79 useeqrefl = 1
% 4.41/4.79 useeqfact = 1
% 4.41/4.79 usefactor = 1
% 4.41/4.79 usesimpsplitting = 0
% 4.41/4.79 usesimpdemod = 5
% 4.41/4.79 usesimpres = 3
% 4.41/4.79
% 4.41/4.79 resimpinuse = 1000
% 4.41/4.79 resimpclauses = 20000
% 4.41/4.79 substype = eqrewr
% 4.41/4.79 backwardsubs = 1
% 4.41/4.79 selectoldest = 5
% 4.41/4.79
% 4.41/4.79 litorderings [0] = split
% 4.41/4.79 litorderings [1] = extend the termordering, first sorting on arguments
% 4.41/4.79
% 4.41/4.79 termordering = kbo
% 4.41/4.79
% 4.41/4.79 litapriori = 0
% 4.41/4.79 termapriori = 1
% 4.41/4.79 litaposteriori = 0
% 4.41/4.79 termaposteriori = 0
% 4.41/4.79 demodaposteriori = 0
% 4.41/4.79 ordereqreflfact = 0
% 4.41/4.79
% 4.41/4.79 litselect = negord
% 4.41/4.79
% 4.41/4.79 maxweight = 15
% 4.41/4.79 maxdepth = 30000
% 4.41/4.79 maxlength = 115
% 4.41/4.79 maxnrvars = 195
% 4.41/4.79 excuselevel = 1
% 4.41/4.79 increasemaxweight = 1
% 4.41/4.79
% 4.41/4.79 maxselected = 10000000
% 4.41/4.79 maxnrclauses = 10000000
% 4.41/4.79
% 4.41/4.79 showgenerated = 0
% 4.41/4.79 showkept = 0
% 4.41/4.79 showselected = 0
% 4.41/4.79 showdeleted = 0
% 4.41/4.79 showresimp = 1
% 4.41/4.79 showstatus = 2000
% 4.41/4.79
% 4.41/4.79 prologoutput = 0
% 4.41/4.79 nrgoals = 5000000
% 4.41/4.79 totalproof = 1
% 4.41/4.79
% 4.41/4.79 Symbols occurring in the translation:
% 4.41/4.79
% 4.41/4.79 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.41/4.79 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 4.41/4.79 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 4.41/4.79 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.41/4.79 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.41/4.79 coll [38, 3] (w:1, o:69, a:1, s:1, b:0),
% 4.41/4.79 para [40, 4] (w:1, o:77, a:1, s:1, b:0),
% 4.41/4.79 perp [43, 4] (w:1, o:78, a:1, s:1, b:0),
% 4.41/4.79 midp [45, 3] (w:1, o:70, a:1, s:1, b:0),
% 4.41/4.79 cong [47, 4] (w:1, o:79, a:1, s:1, b:0),
% 4.41/4.79 circle [48, 4] (w:1, o:80, a:1, s:1, b:0),
% 4.41/4.79 cyclic [49, 4] (w:1, o:81, a:1, s:1, b:0),
% 4.41/4.79 eqangle [54, 8] (w:1, o:96, a:1, s:1, b:0),
% 4.41/4.79 eqratio [57, 8] (w:1, o:97, a:1, s:1, b:0),
% 4.41/4.79 simtri [59, 6] (w:1, o:93, a:1, s:1, b:0),
% 4.41/4.79 contri [60, 6] (w:1, o:94, a:1, s:1, b:0),
% 4.41/4.79 alpha1 [67, 3] (w:1, o:71, a:1, s:1, b:1),
% 4.41/4.79 alpha2 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.41/4.79 skol1 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.41/4.79 skol2 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.41/4.79 skol3 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.41/4.79 skol4 [72, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.41/4.79 skol5 [73, 4] (w:1, o:89, a:1, s:1, b:1),
% 4.41/4.79 skol6 [74, 6] (w:1, o:95, a:1, s:1, b:1),
% 4.41/4.79 skol7 [75, 2] (w:1, o:65, a:1, s:1, b:1),
% 17.42/17.80 skol8 [76, 4] (w:1, o:90, a:1, s:1, b:1),
% 17.42/17.80 skol9 [77, 4] (w:1, o:91, a:1, s:1, b:1),
% 17.42/17.80 skol10 [78, 3] (w:1, o:72, a:1, s:1, b:1),
% 17.42/17.80 skol11 [79, 3] (w:1, o:73, a:1, s:1, b:1),
% 17.42/17.80 skol12 [80, 2] (w:1, o:66, a:1, s:1, b:1),
% 17.42/17.80 skol13 [81, 5] (w:1, o:92, a:1, s:1, b:1),
% 17.42/17.80 skol14 [82, 3] (w:1, o:74, a:1, s:1, b:1),
% 17.42/17.80 skol15 [83, 3] (w:1, o:75, a:1, s:1, b:1),
% 17.42/17.80 skol16 [84, 3] (w:1, o:76, a:1, s:1, b:1),
% 17.42/17.80 skol17 [85, 2] (w:1, o:67, a:1, s:1, b:1),
% 17.42/17.80 skol18 [86, 2] (w:1, o:68, a:1, s:1, b:1),
% 17.42/17.80 skol19 [87, 4] (w:1, o:84, a:1, s:1, b:1),
% 17.42/17.80 skol20 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 17.42/17.80 skol21 [89, 4] (w:1, o:86, a:1, s:1, b:1),
% 17.42/17.80 skol22 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 17.42/17.80 skol23 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 17.42/17.80 skol24 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 17.42/17.80 skol25 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 17.42/17.80 skol26 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 17.42/17.80 skol27 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 17.42/17.80 skol28 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 17.42/17.80 skol29 [97, 0] (w:1, o:35, a:1, s:1, b:1).
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Starting Search:
% 17.42/17.80
% 17.42/17.80 *** allocated 15000 integers for clauses
% 17.42/17.80 *** allocated 22500 integers for clauses
% 17.42/17.80 *** allocated 33750 integers for clauses
% 17.42/17.80 *** allocated 22500 integers for termspace/termends
% 17.42/17.80 *** allocated 50625 integers for clauses
% 17.42/17.80 *** allocated 75937 integers for clauses
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 33750 integers for termspace/termends
% 17.42/17.80 *** allocated 113905 integers for clauses
% 17.42/17.80 *** allocated 50625 integers for termspace/termends
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 19372
% 17.42/17.80 Kept: 2057
% 17.42/17.80 Inuse: 336
% 17.42/17.80 Deleted: 1
% 17.42/17.80 Deletedinuse: 1
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 170857 integers for clauses
% 17.42/17.80 *** allocated 75937 integers for termspace/termends
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 256285 integers for clauses
% 17.42/17.80 *** allocated 113905 integers for termspace/termends
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 35961
% 17.42/17.80 Kept: 4117
% 17.42/17.80 Inuse: 454
% 17.42/17.80 Deleted: 18
% 17.42/17.80 Deletedinuse: 1
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 170857 integers for termspace/termends
% 17.42/17.80 *** allocated 384427 integers for clauses
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 47225
% 17.42/17.80 Kept: 6252
% 17.42/17.80 Inuse: 529
% 17.42/17.80 Deleted: 19
% 17.42/17.80 Deletedinuse: 2
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 576640 integers for clauses
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 67934
% 17.42/17.80 Kept: 8252
% 17.42/17.80 Inuse: 706
% 17.42/17.80 Deleted: 20
% 17.42/17.80 Deletedinuse: 2
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 256285 integers for termspace/termends
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 88645
% 17.42/17.80 Kept: 10388
% 17.42/17.80 Inuse: 793
% 17.42/17.80 Deleted: 28
% 17.42/17.80 Deletedinuse: 5
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 96845
% 17.42/17.80 Kept: 12390
% 17.42/17.80 Inuse: 831
% 17.42/17.80 Deleted: 32
% 17.42/17.80 Deletedinuse: 9
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 864960 integers for clauses
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 116302
% 17.42/17.80 Kept: 14416
% 17.42/17.80 Inuse: 1008
% 17.42/17.80 Deleted: 46
% 17.42/17.80 Deletedinuse: 9
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 384427 integers for termspace/termends
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 132297
% 17.42/17.80 Kept: 16449
% 17.42/17.80 Inuse: 1157
% 17.42/17.80 Deleted: 65
% 17.42/17.80 Deletedinuse: 21
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 148513
% 17.42/17.80 Kept: 18461
% 17.42/17.80 Inuse: 1285
% 17.42/17.80 Deleted: 82
% 17.42/17.80 Deletedinuse: 29
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 1297440 integers for clauses
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying clauses:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 166951
% 17.42/17.80 Kept: 20462
% 17.42/17.80 Inuse: 1471
% 17.42/17.80 Deleted: 2160
% 17.42/17.80 Deletedinuse: 41
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 184938
% 17.42/17.80 Kept: 22471
% 17.42/17.80 Inuse: 1639
% 17.42/17.80 Deleted: 2161
% 17.42/17.80 Deletedinuse: 41
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 576640 integers for termspace/termends
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 196001
% 17.42/17.80 Kept: 25349
% 17.42/17.80 Inuse: 1739
% 17.42/17.80 Deleted: 2161
% 17.42/17.80 Deletedinuse: 41
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 204653
% 17.42/17.80 Kept: 27680
% 17.42/17.80 Inuse: 1804
% 17.42/17.80 Deleted: 2161
% 17.42/17.80 Deletedinuse: 41
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 1946160 integers for clauses
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 214238
% 17.42/17.80 Kept: 30057
% 17.42/17.80 Inuse: 1819
% 17.42/17.80 Deleted: 2161
% 17.42/17.80 Deletedinuse: 41
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 233089
% 17.42/17.80 Kept: 32228
% 17.42/17.80 Inuse: 1893
% 17.42/17.80 Deleted: 2168
% 17.42/17.80 Deletedinuse: 47
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 241489
% 17.42/17.80 Kept: 34888
% 17.42/17.80 Inuse: 1952
% 17.42/17.80 Deleted: 2176
% 17.42/17.80 Deletedinuse: 54
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 256321
% 17.42/17.80 Kept: 37038
% 17.42/17.80 Inuse: 2048
% 17.42/17.80 Deleted: 2180
% 17.42/17.80 Deletedinuse: 54
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 264021
% 17.42/17.80 Kept: 39440
% 17.42/17.80 Inuse: 2075
% 17.42/17.80 Deleted: 2183
% 17.42/17.80 Deletedinuse: 54
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying clauses:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 864960 integers for termspace/termends
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 275070
% 17.42/17.80 Kept: 41458
% 17.42/17.80 Inuse: 2133
% 17.42/17.80 Deleted: 5627
% 17.42/17.80 Deletedinuse: 58
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 294851
% 17.42/17.80 Kept: 43462
% 17.42/17.80 Inuse: 2288
% 17.42/17.80 Deleted: 5634
% 17.42/17.80 Deletedinuse: 63
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 313004
% 17.42/17.80 Kept: 45462
% 17.42/17.80 Inuse: 2433
% 17.42/17.80 Deleted: 5641
% 17.42/17.80 Deletedinuse: 70
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 *** allocated 2919240 integers for clauses
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 345775
% 17.42/17.80 Kept: 47475
% 17.42/17.80 Inuse: 2564
% 17.42/17.80 Deleted: 5643
% 17.42/17.80 Deletedinuse: 72
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 398720
% 17.42/17.80 Kept: 49483
% 17.42/17.80 Inuse: 2707
% 17.42/17.80 Deleted: 5650
% 17.42/17.80 Deletedinuse: 78
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 421860
% 17.42/17.80 Kept: 51491
% 17.42/17.80 Inuse: 2834
% 17.42/17.80 Deleted: 5812
% 17.42/17.80 Deletedinuse: 181
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 479479
% 17.42/17.80 Kept: 53509
% 17.42/17.80 Inuse: 2982
% 17.42/17.80 Deleted: 5846
% 17.42/17.80 Deletedinuse: 181
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Intermediate Status:
% 17.42/17.80 Generated: 511462
% 17.42/17.80 Kept: 55511
% 17.42/17.80 Inuse: 3119
% 17.42/17.80 Deleted: 5880
% 17.42/17.80 Deletedinuse: 183
% 17.42/17.80
% 17.42/17.80 Resimplifying inuse:
% 17.42/17.80 Done
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Bliksems!, er is een bewijs:
% 17.42/17.80 % SZS status Theorem
% 17.42/17.80 % SZS output start Refutation
% 17.42/17.80
% 17.42/17.80 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 17.42/17.80 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 17.42/17.80 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 17.42/17.80 , Z, X ) }.
% 17.42/17.80 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 17.42/17.80 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 17.42/17.80 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 17.42/17.80 para( X, Y, Z, T ) }.
% 17.42/17.80 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 17.42/17.80 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 17.42/17.80 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 17.42/17.80 para( X, Y, Z, T ) }.
% 17.42/17.80 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 17.42/17.80 }.
% 17.42/17.80 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 17.42/17.80 }.
% 17.42/17.80 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 17.42/17.80 }.
% 17.42/17.80 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 17.42/17.80 ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.42/17.80 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.42/17.80 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 17.42/17.80 , T, U, W ) }.
% 17.42/17.80 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 17.42/17.80 T, X, T, Y ) }.
% 17.42/17.80 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 17.42/17.80 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 17.42/17.80 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 17.42/17.80 , Y, Z, T ) }.
% 17.42/17.80 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 17.42/17.80 perp( X, Y, Z, T ) }.
% 17.42/17.80 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 17.42/17.80 alpha1( X, Y, Z ) }.
% 17.42/17.80 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 17.42/17.80 , Z, X ) }.
% 17.42/17.80 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 17.42/17.80 , X, X, Y ) }.
% 17.42/17.80 (116) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol20, skol20, skol26 ) }.
% 17.42/17.80 (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol20 ) }.
% 17.42/17.80 (120) {G0,W5,D2,L1,V0,M1} I { circle( skol25, skol26, skol23, skol28 ) }.
% 17.42/17.80 (123) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol23, skol24 ) }.
% 17.42/17.80 (124) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 17.42/17.80 (161) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol20, skol26 ) }.
% 17.42/17.80 (164) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol20, skol23, skol26 ) }.
% 17.42/17.80 (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 17.42/17.80 (174) {G3,W8,D2,L2,V1,M2} R(2,164) { ! coll( skol20, skol23, X ), coll(
% 17.42/17.80 skol26, X, skol20 ) }.
% 17.42/17.80 (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 17.42/17.80 coll( Z, X, T ) }.
% 17.42/17.80 (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 17.42/17.80 (213) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 17.42/17.80 coll( X, Z, T ) }.
% 17.42/17.80 (224) {G3,W4,D2,L1,V0,M1} R(195,119) { coll( skol20, skol23, skol20 ) }.
% 17.42/17.80 (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 17.42/17.80 (233) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 17.42/17.80 ) }.
% 17.42/17.80 (234) {G1,W5,D2,L1,V0,M1} R(4,123) { ! para( skol23, skol24, skol20, skol22
% 17.42/17.80 ) }.
% 17.42/17.80 (243) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 17.42/17.80 ), ! para( X, Y, U, W ) }.
% 17.42/17.80 (251) {G2,W10,D2,L2,V4,M2} F(243) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 17.42/17.80 ) }.
% 17.42/17.80 (269) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol20, skol26, skol25, skol20 )
% 17.42/17.80 }.
% 17.42/17.80 (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 17.42/17.80 ), ! perp( X, Y, U, W ) }.
% 17.42/17.80 (294) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para( Z, T, Z, T
% 17.42/17.80 ) }.
% 17.42/17.80 (341) {G4,W4,D2,L1,V0,M1} R(224,0) { coll( skol20, skol20, skol23 ) }.
% 17.42/17.80 (343) {G5,W8,D2,L2,V1,M2} R(341,2) { ! coll( skol20, skol20, X ), coll(
% 17.42/17.80 skol23, X, skol20 ) }.
% 17.42/17.80 (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 17.42/17.80 , T, Y ) }.
% 17.42/17.80 (356) {G2,W5,D2,L1,V0,M1} R(269,6) { perp( skol20, skol26, skol20, skol25 )
% 17.42/17.80 }.
% 17.42/17.80 (369) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 17.42/17.80 , X, T ) }.
% 17.42/17.80 (371) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 17.42/17.80 , T, Z ) }.
% 17.42/17.80 (396) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 17.42/17.80 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 17.42/17.80 (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 17.42/17.80 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.42/17.80 (405) {G2,W10,D2,L2,V4,M2} F(396) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 17.42/17.80 , T ) }.
% 17.42/17.80 (446) {G2,W10,D2,L2,V2,M2} R(234,5) { ! para( skol23, skol24, X, Y ), !
% 17.42/17.80 para( X, Y, skol20, skol22 ) }.
% 17.42/17.80 (454) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 17.42/17.80 (462) {G6,W8,D2,L2,V3,M2} R(454,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 17.42/17.80 (463) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 17.42/17.80 (467) {G7,W8,D2,L2,V3,M2} R(463,463) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 17.42/17.80 }.
% 17.42/17.80 (482) {G8,W12,D2,L3,V4,M3} R(467,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 17.42/17.80 , coll( T, Y, X ) }.
% 17.42/17.80 (483) {G9,W8,D2,L2,V3,M2} F(482) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 17.42/17.80 (484) {G10,W8,D2,L2,V3,M2} R(483,467) { coll( X, X, Y ), ! coll( Y, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 (487) {G10,W8,D2,L2,V3,M2} R(483,462) { coll( X, X, Y ), ! coll( Z, X, Y )
% 17.42/17.80 }.
% 17.42/17.80 (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 17.42/17.80 X, Y, U, W, Z, T ) }.
% 17.42/17.80 (849) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 17.42/17.80 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 17.42/17.80 (938) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 17.42/17.80 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 17.42/17.80 (970) {G2,W15,D2,L3,V3,M3} F(938) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 17.42/17.80 , Z, Y ), cong( X, Y, X, Y ) }.
% 17.42/17.80 (3425) {G6,W8,D2,L2,V2,M2} R(343,124) { coll( skol23, X, skol20 ), ! coll(
% 17.42/17.80 X, Y, skol20 ) }.
% 17.42/17.80 (3473) {G7,W8,D2,L2,V2,M2} R(3425,166) { ! coll( X, Y, skol20 ), coll( X,
% 17.42/17.80 skol20, skol23 ) }.
% 17.42/17.80 (4270) {G3,W4,D2,L1,V0,M1} R(96,356);r(356) { alpha1( skol20, skol20,
% 17.42/17.80 skol25 ) }.
% 17.42/17.80 (4396) {G4,W7,D3,L1,V1,M1} R(4270,97) { coll( skol11( skol20, X, skol25 ),
% 17.42/17.80 skol25, skol20 ) }.
% 17.42/17.80 (4436) {G11,W4,D2,L1,V0,M1} R(4396,487) { coll( skol25, skol25, skol20 )
% 17.42/17.80 }.
% 17.42/17.80 (4462) {G12,W4,D2,L1,V0,M1} R(4436,3473) { coll( skol25, skol20, skol23 )
% 17.42/17.80 }.
% 17.42/17.80 (4829) {G13,W4,D2,L1,V0,M1} R(4462,166) { coll( skol20, skol23, skol25 )
% 17.42/17.80 }.
% 17.42/17.80 (4867) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol26, skol25 ),
% 17.42/17.80 skol26, skol26, skol25 ) }.
% 17.42/17.80 (9302) {G14,W4,D2,L1,V0,M1} R(174,4829) { coll( skol26, skol25, skol20 )
% 17.42/17.80 }.
% 17.42/17.80 (9356) {G15,W4,D2,L1,V0,M1} R(9302,484) { coll( skol25, skol25, skol26 )
% 17.42/17.80 }.
% 17.42/17.80 (23442) {G3,W5,D2,L1,V0,M1} R(4867,294) { para( skol26, skol25, skol26,
% 17.42/17.80 skol25 ) }.
% 17.42/17.80 (23471) {G4,W5,D2,L1,V0,M1} R(23442,233) { para( skol26, skol25, skol25,
% 17.42/17.80 skol26 ) }.
% 17.42/17.80 (23479) {G5,W5,D2,L1,V0,M1} R(23471,251) { para( skol25, skol26, skol25,
% 17.42/17.80 skol26 ) }.
% 17.42/17.80 (47087) {G6,W9,D2,L1,V2,M1} R(798,23479) { eqangle( X, Y, skol25, skol26, X
% 17.42/17.80 , Y, skol25, skol26 ) }.
% 17.42/17.80 (50199) {G16,W5,D2,L1,V1,M1} R(849,9356);r(47087) { cyclic( X, skol26,
% 17.42/17.80 skol25, skol25 ) }.
% 17.42/17.80 (50298) {G17,W5,D2,L1,V1,M1} R(50199,371) { cyclic( skol26, X, skol25,
% 17.42/17.80 skol25 ) }.
% 17.42/17.80 (50310) {G18,W5,D2,L1,V1,M1} R(50298,405) { cyclic( skol25, X, skol25,
% 17.42/17.80 skol25 ) }.
% 17.42/17.80 (50332) {G19,W5,D2,L1,V1,M1} R(50310,369) { cyclic( skol25, skol25, X,
% 17.42/17.80 skol25 ) }.
% 17.42/17.80 (50333) {G19,W5,D2,L1,V1,M1} R(50310,352) { cyclic( skol25, skol25, skol25
% 17.42/17.80 , X ) }.
% 17.42/17.80 (50338) {G20,W5,D2,L1,V2,M1} R(50332,401);r(50333) { cyclic( skol25, skol25
% 17.42/17.80 , X, Y ) }.
% 17.42/17.80 (50546) {G21,W5,D2,L1,V3,M1} R(50338,401);r(50338) { cyclic( skol25, X, Y,
% 17.42/17.80 Z ) }.
% 17.42/17.80 (50565) {G22,W5,D2,L1,V4,M1} R(50546,401);r(50546) { cyclic( X, Y, Z, T )
% 17.42/17.80 }.
% 17.42/17.80 (55727) {G23,W5,D2,L1,V2,M1} S(970);r(50565);r(50565) { cong( X, Y, X, Y )
% 17.42/17.80 }.
% 17.42/17.80 (55744) {G24,W5,D2,L1,V3,M1} R(55727,56);r(55727) { perp( X, X, Z, Y ) }.
% 17.42/17.80 (55781) {G25,W5,D2,L1,V4,M1} R(55744,278);r(55744) { para( X, Y, Z, T ) }.
% 17.42/17.80 (55955) {G26,W0,D0,L0,V0,M0} R(55781,446);r(55781) { }.
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 % SZS output end Refutation
% 17.42/17.80 found a proof!
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Unprocessed initial clauses:
% 17.42/17.80
% 17.42/17.80 (55957) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 17.42/17.80 (55958) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 17.42/17.80 (55959) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 17.42/17.80 ( Y, Z, X ) }.
% 17.42/17.80 (55960) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 17.42/17.80 }.
% 17.42/17.80 (55961) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 17.42/17.80 }.
% 17.42/17.80 (55962) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 17.42/17.80 , para( X, Y, Z, T ) }.
% 17.42/17.80 (55963) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 17.42/17.80 }.
% 17.42/17.80 (55964) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 17.42/17.80 }.
% 17.42/17.80 (55965) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 17.42/17.80 , para( X, Y, Z, T ) }.
% 17.42/17.80 (55966) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 17.42/17.80 , perp( X, Y, Z, T ) }.
% 17.42/17.80 (55967) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 17.42/17.80 (55968) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 17.42/17.80 , circle( T, X, Y, Z ) }.
% 17.42/17.80 (55969) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 17.42/17.80 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 (55970) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 17.42/17.80 ) }.
% 17.42/17.80 (55971) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 17.42/17.80 ) }.
% 17.42/17.80 (55972) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 17.42/17.80 ) }.
% 17.42/17.80 (55973) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 17.42/17.80 T ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 (55974) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 17.42/17.80 (55975) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.42/17.80 (55976) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.42/17.80 (55977) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.42/17.80 (55978) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 17.42/17.80 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 17.42/17.80 V1 ) }.
% 17.42/17.80 (55979) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 17.42/17.80 }.
% 17.42/17.80 (55980) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 17.42/17.80 }.
% 17.42/17.80 (55981) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 17.42/17.80 , cong( X, Y, Z, T ) }.
% 17.42/17.80 (55982) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 17.42/17.80 (55983) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 17.42/17.80 (55984) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 17.42/17.80 (55985) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.42/17.80 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.42/17.80 (55986) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 17.42/17.80 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 17.42/17.80 V1 ) }.
% 17.42/17.80 (55987) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 17.42/17.80 , Z, T, U, W ) }.
% 17.42/17.80 (55988) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 17.42/17.80 , Z, T, U, W ) }.
% 17.42/17.80 (55989) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 17.42/17.80 , Z, T, U, W ) }.
% 17.42/17.80 (55990) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 17.42/17.80 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 17.42/17.80 (55991) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 17.42/17.80 , Z, T, U, W ) }.
% 17.42/17.80 (55992) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 17.42/17.80 , Z, T, U, W ) }.
% 17.42/17.80 (55993) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 17.42/17.80 , Z, T, U, W ) }.
% 17.42/17.80 (55994) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 17.42/17.80 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 17.42/17.80 (55995) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 17.42/17.80 X, Y, Z, T ) }.
% 17.42/17.80 (55996) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 17.42/17.80 Z, T, U, W ) }.
% 17.42/17.80 (55997) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 17.42/17.80 , T, X, T, Y ) }.
% 17.42/17.80 (55998) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 17.42/17.80 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 (55999) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 17.42/17.80 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 (56000) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 17.42/17.80 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 17.42/17.80 , Y, Z, T ) }.
% 17.42/17.80 (56001) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 17.42/17.80 ( Z, T, X, Y ) }.
% 17.42/17.80 (56002) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 17.42/17.80 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 17.42/17.80 (56003) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 17.42/17.80 X, Y, Z, Y ) }.
% 17.42/17.80 (56004) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 17.42/17.80 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 17.42/17.80 (56005) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 17.42/17.80 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 17.42/17.80 (56006) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 17.42/17.80 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 17.42/17.80 (56007) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 17.42/17.80 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 17.42/17.80 (56008) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 17.42/17.80 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 17.42/17.80 (56009) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 17.42/17.80 cong( X, Z, Y, Z ) }.
% 17.42/17.80 (56010) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 17.42/17.80 perp( X, Y, Y, Z ) }.
% 17.42/17.80 (56011) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 17.42/17.80 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 17.42/17.80 (56012) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 17.42/17.80 cong( Z, X, Z, Y ) }.
% 17.42/17.80 (56013) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 17.42/17.80 , perp( X, Y, Z, T ) }.
% 17.42/17.80 (56014) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 17.42/17.80 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 17.42/17.80 (56015) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 17.42/17.80 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 17.42/17.80 , W ) }.
% 17.42/17.80 (56016) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 17.42/17.80 , X, Z, T, U, T, W ) }.
% 17.42/17.80 (56017) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 17.42/17.80 , Y, Z, T, U, U, W ) }.
% 17.42/17.80 (56018) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 17.42/17.80 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 17.42/17.80 (56019) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 17.42/17.80 , T ) }.
% 17.42/17.80 (56020) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 17.42/17.80 ( X, Z, Y, T ) }.
% 17.42/17.80 (56021) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 17.42/17.80 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 17.42/17.80 (56022) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 17.42/17.80 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 17.42/17.80 (56023) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 17.42/17.80 (56024) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 17.42/17.80 midp( X, Y, Z ) }.
% 17.42/17.80 (56025) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 17.42/17.80 (56026) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 17.42/17.80 (56027) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 17.42/17.80 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 17.42/17.80 (56028) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 17.42/17.80 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 17.42/17.80 (56029) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 17.42/17.80 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 17.42/17.80 (56030) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 17.42/17.80 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 17.42/17.80 (56031) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 17.42/17.80 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 17.42/17.80 (56032) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 17.42/17.80 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 17.42/17.80 (56033) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 17.42/17.80 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 17.42/17.80 (56034) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 17.42/17.80 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 17.42/17.80 (56035) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 17.42/17.80 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 17.42/17.80 (56036) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 17.42/17.80 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 17.42/17.80 (56037) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 17.42/17.80 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 17.42/17.80 (56038) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 17.42/17.80 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 17.42/17.80 (56039) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 17.42/17.80 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 17.42/17.80 (56040) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 17.42/17.80 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 17.42/17.80 (56041) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 17.42/17.80 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 17.42/17.80 (56042) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 17.42/17.80 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 17.42/17.80 , T ) ) }.
% 17.42/17.80 (56043) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 17.42/17.80 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 17.42/17.80 (56044) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 17.42/17.80 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 17.42/17.80 (56045) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 17.42/17.80 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 17.42/17.80 (56046) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 17.42/17.80 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 17.42/17.80 (56047) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 17.42/17.80 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 17.42/17.80 ) }.
% 17.42/17.80 (56048) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 17.42/17.80 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 17.42/17.80 }.
% 17.42/17.80 (56049) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 17.42/17.80 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 17.42/17.80 (56050) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 17.42/17.80 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 17.42/17.80 (56051) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 17.42/17.80 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 17.42/17.80 (56052) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 17.42/17.80 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 17.42/17.80 (56053) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 17.42/17.80 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 17.42/17.80 (56054) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 17.42/17.80 , alpha1( X, Y, Z ) }.
% 17.42/17.80 (56055) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 17.42/17.80 ), Z, X ) }.
% 17.42/17.80 (56056) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 17.42/17.80 , Z ), Z, X ) }.
% 17.42/17.80 (56057) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 17.42/17.80 alpha1( X, Y, Z ) }.
% 17.42/17.80 (56058) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 17.42/17.80 ), X, X, Y ) }.
% 17.42/17.80 (56059) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 17.42/17.80 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 17.42/17.80 ) ) }.
% 17.42/17.80 (56060) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 17.42/17.80 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 17.42/17.80 (56061) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 17.42/17.80 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 17.42/17.80 }.
% 17.42/17.80 (56062) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 17.42/17.80 (56063) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 17.42/17.80 }.
% 17.42/17.80 (56064) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 17.42/17.80 alpha2( X, Y, Z, T ) }.
% 17.42/17.80 (56065) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 17.42/17.80 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 17.42/17.80 (56066) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 17.42/17.80 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 17.42/17.80 (56067) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 17.42/17.80 coll( skol16( W, Y, Z ), Y, Z ) }.
% 17.42/17.80 (56068) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 17.42/17.80 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 17.42/17.80 (56069) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 17.42/17.80 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 17.42/17.80 (56070) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 17.42/17.80 , coll( X, Y, skol18( X, Y ) ) }.
% 17.42/17.80 (56071) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 17.42/17.80 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 17.42/17.80 (56072) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 17.42/17.80 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 17.42/17.80 }.
% 17.42/17.80 (56073) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 17.42/17.80 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 17.42/17.80 }.
% 17.42/17.80 (56074) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol20, skol26 ) }.
% 17.42/17.80 (56075) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol22, skol22, skol26 ) }.
% 17.42/17.80 (56076) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol22, skol27 ) }.
% 17.42/17.80 (56077) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol20 ) }.
% 17.42/17.80 (56078) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol23, skol28 ) }.
% 17.42/17.80 (56079) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol22 ) }.
% 17.42/17.80 (56080) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol24, skol29 ) }.
% 17.42/17.80 (56081) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23, skol24 ) }.
% 17.42/17.80
% 17.42/17.80
% 17.42/17.80 Total Proof:
% 17.42/17.80
% 17.42/17.80 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 parent0: (55957) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 parent0: (55958) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 17.42/17.80 Z ), coll( Y, Z, X ) }.
% 17.42/17.80 parent0: (55959) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.42/17.80 ), coll( Y, Z, X ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 17.42/17.80 , T, Z ) }.
% 17.42/17.80 parent0: (55960) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 17.42/17.80 T, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 17.42/17.80 , X, Y ) }.
% 17.42/17.80 parent0: (55961) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 17.42/17.80 X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 17.42/17.80 W, Z, T ), para( X, Y, Z, T ) }.
% 17.42/17.80 parent0: (55962) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 17.42/17.80 , Z, T ), para( X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 W := W
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 17.42/17.80 , T, Z ) }.
% 17.42/17.80 parent0: (55963) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 17.42/17.80 T, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 17.42/17.80 , X, Y ) }.
% 17.42/17.80 parent0: (55964) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.42/17.80 X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 17.42/17.80 W, Z, T ), para( X, Y, Z, T ) }.
% 17.42/17.80 parent0: (55965) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 17.42/17.80 , Z, T ), para( X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 W := W
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 17.42/17.80 X, Y, T, Z ) }.
% 17.42/17.80 parent0: (55970) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.42/17.80 , Y, T, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 17.42/17.80 X, Z, Y, T ) }.
% 17.42/17.80 parent0: (55971) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.42/17.80 , Z, Y, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 17.42/17.80 Y, X, Z, T ) }.
% 17.42/17.80 parent0: (55972) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.42/17.80 , X, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 17.42/17.80 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 parent0: (55973) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 17.42/17.80 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 17.42/17.80 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.42/17.80 parent0: (55975) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.42/17.80 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 W := W
% 17.42/17.80 V0 := V0
% 17.42/17.80 V1 := V1
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 17.42/17.80 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.42/17.80 parent0: (55976) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.42/17.80 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 W := W
% 17.42/17.80 V0 := V0
% 17.42/17.80 V1 := V1
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 17.42/17.80 , Y, U, W, Z, T, U, W ) }.
% 17.42/17.80 parent0: (55996) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 17.42/17.80 Y, U, W, Z, T, U, W ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 W := W
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 17.42/17.80 ( Z, X, Z, Y, T, X, T, Y ) }.
% 17.42/17.80 parent0: (55997) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 17.42/17.80 , X, Z, Y, T, X, T, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 17.42/17.80 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 parent0: (55999) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 17.42/17.80 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 17.42/17.80 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 17.42/17.80 ), cong( X, Y, Z, T ) }.
% 17.42/17.80 parent0: (56000) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 17.42/17.80 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 17.42/17.80 , cong( X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 W := W
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 3 ==> 3
% 17.42/17.80 4 ==> 4
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 17.42/17.80 , T, Y, T ), perp( X, Y, Z, T ) }.
% 17.42/17.80 parent0: (56013) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 17.42/17.80 , Y, T ), perp( X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 17.42/17.80 , T, X, Z ), alpha1( X, Y, Z ) }.
% 17.42/17.80 parent0: (56054) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 17.42/17.80 , X, Z ), alpha1( X, Y, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 17.42/17.80 skol11( X, T, Z ), Z, X ) }.
% 17.42/17.80 parent0: (56055) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 17.42/17.80 ( X, T, Z ), Z, X ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 17.42/17.80 skol12( X, Y ), X, X, Y ) }.
% 17.42/17.80 parent0: (56058) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 17.42/17.80 skol12( X, Y ), X, X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol20, skol20,
% 17.42/17.80 skol26 ) }.
% 17.42/17.80 parent0: (56074) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol20,
% 17.42/17.80 skol26 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol20 )
% 17.42/17.80 }.
% 17.42/17.80 parent0: (56077) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol25, skol26, skol23,
% 17.42/17.80 skol28 ) }.
% 17.42/17.80 parent0: (56078) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol23,
% 17.42/17.80 skol28 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (123) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol23,
% 17.42/17.80 skol24 ) }.
% 17.42/17.80 parent0: (56081) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23,
% 17.42/17.80 skol24 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 factor: (56544) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 17.42/17.80 , Z ), coll( Y, Z, X ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := Z
% 17.42/17.80 T := Y
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (124) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 17.42/17.80 , X ) }.
% 17.42/17.80 parent0: (56544) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56545) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol26 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol20 )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol23
% 17.42/17.80 Y := skol26
% 17.42/17.80 Z := skol20
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (161) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol20,
% 17.42/17.80 skol26 ) }.
% 17.42/17.80 parent0: (56545) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol26 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56546) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol26 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 parent1[0]: (161) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol20,
% 17.42/17.80 skol26 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol23
% 17.42/17.80 Y := skol20
% 17.42/17.80 Z := skol26
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (164) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol20, skol23,
% 17.42/17.80 skol26 ) }.
% 17.42/17.80 parent0: (56546) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol26 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56548) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 17.42/17.80 ) }.
% 17.42/17.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 17.42/17.80 , Z, X ) }.
% 17.42/17.80 parent0: (56548) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 1
% 17.42/17.80 1 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56549) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol23, X ),
% 17.42/17.80 coll( skol26, X, skol20 ) }.
% 17.42/17.80 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.42/17.80 ), coll( Y, Z, X ) }.
% 17.42/17.80 parent1[0]: (164) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol20, skol23,
% 17.42/17.80 skol26 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol20
% 17.42/17.80 Y := skol26
% 17.42/17.80 Z := X
% 17.42/17.80 T := skol23
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (174) {G3,W8,D2,L2,V1,M2} R(2,164) { ! coll( skol20, skol23, X
% 17.42/17.80 ), coll( skol26, X, skol20 ) }.
% 17.42/17.80 parent0: (56549) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol23, X ), coll(
% 17.42/17.80 skol26, X, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56554) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 17.42/17.80 X ), ! coll( Z, T, Y ) }.
% 17.42/17.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.42/17.80 ), coll( Y, Z, X ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := Z
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Y
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 17.42/17.80 ( X, Y, T ), coll( Z, X, T ) }.
% 17.42/17.80 parent0: (56554) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 17.42/17.80 , ! coll( Z, T, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Z
% 17.42/17.80 Y := T
% 17.42/17.80 Z := X
% 17.42/17.80 T := Y
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 2
% 17.42/17.80 1 ==> 0
% 17.42/17.80 2 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 factor: (56556) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0, 1]: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 17.42/17.80 coll( X, Y, T ), coll( Z, X, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z
% 17.42/17.80 , X, Z ) }.
% 17.42/17.80 parent0: (56556) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56557) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 17.42/17.80 X ), ! coll( Z, T, Y ) }.
% 17.42/17.80 parent0[0]: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z,
% 17.42/17.80 X, Z ) }.
% 17.42/17.80 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.42/17.80 ), coll( Y, Z, X ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := Z
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Y
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (213) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll
% 17.42/17.80 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 17.42/17.80 parent0: (56557) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 17.42/17.80 , ! coll( Z, T, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := X
% 17.42/17.80 T := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56559) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol20 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0]: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z,
% 17.42/17.80 X, Z ) }.
% 17.42/17.80 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol20 )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol23
% 17.42/17.80 Y := skol26
% 17.42/17.80 Z := skol20
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (224) {G3,W4,D2,L1,V0,M1} R(195,119) { coll( skol20, skol23,
% 17.42/17.80 skol20 ) }.
% 17.42/17.80 parent0: (56559) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 factor: (56560) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 parent0[1, 2]: (213) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), !
% 17.42/17.80 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := Y
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X
% 17.42/17.80 , Z, Y ) }.
% 17.42/17.80 parent0: (56560) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56562) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 17.42/17.80 T, X, Y ) }.
% 17.42/17.80 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 17.42/17.80 T, Z ) }.
% 17.42/17.80 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 17.42/17.80 X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := Z
% 17.42/17.80 Y := T
% 17.42/17.80 Z := X
% 17.42/17.80 T := Y
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (233) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 17.42/17.80 ( Z, T, Y, X ) }.
% 17.42/17.80 parent0: (56562) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 17.42/17.80 X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Z
% 17.42/17.80 Y := T
% 17.42/17.80 Z := X
% 17.42/17.80 T := Y
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 1
% 17.42/17.80 1 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56563) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20,
% 17.42/17.80 skol22 ) }.
% 17.42/17.80 parent0[0]: (123) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol23,
% 17.42/17.80 skol24 ) }.
% 17.42/17.80 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 17.42/17.80 X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := skol23
% 17.42/17.80 Y := skol24
% 17.42/17.80 Z := skol20
% 17.42/17.80 T := skol22
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (234) {G1,W5,D2,L1,V0,M1} R(4,123) { ! para( skol23, skol24,
% 17.42/17.80 skol20, skol22 ) }.
% 17.42/17.80 parent0: (56563) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20,
% 17.42/17.80 skol22 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56564) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 17.42/17.80 Y, U, W ), ! para( Z, T, X, Y ) }.
% 17.42/17.80 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 17.42/17.80 , Z, T ), para( X, Y, Z, T ) }.
% 17.42/17.80 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 17.42/17.80 X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := U
% 17.42/17.80 T := W
% 17.42/17.80 U := Z
% 17.42/17.80 W := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := Z
% 17.42/17.80 Y := T
% 17.42/17.80 Z := X
% 17.42/17.80 T := Y
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (243) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 17.42/17.80 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 17.42/17.80 parent0: (56564) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 17.42/17.80 U, W ), ! para( Z, T, X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := U
% 17.42/17.80 Y := W
% 17.42/17.80 Z := X
% 17.42/17.80 T := Y
% 17.42/17.80 U := Z
% 17.42/17.80 W := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 factor: (56568) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 17.42/17.80 , T ) }.
% 17.42/17.80 parent0[0, 2]: (243) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 17.42/17.80 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := Z
% 17.42/17.80 W := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (251) {G2,W10,D2,L2,V4,M2} F(243) { ! para( X, Y, Z, T ), para
% 17.42/17.80 ( Z, T, Z, T ) }.
% 17.42/17.80 parent0: (56568) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 17.42/17.80 Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56569) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol25,
% 17.42/17.80 skol20 ) }.
% 17.42/17.80 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.42/17.80 X, Y ) }.
% 17.42/17.80 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol20, skol20,
% 17.42/17.80 skol26 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol25
% 17.42/17.80 Y := skol20
% 17.42/17.80 Z := skol20
% 17.42/17.80 T := skol26
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (269) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol20, skol26,
% 17.42/17.80 skol25, skol20 ) }.
% 17.42/17.80 parent0: (56569) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol25,
% 17.42/17.80 skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56570) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 17.42/17.80 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 17.42/17.80 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 17.42/17.80 , Z, T ), para( X, Y, Z, T ) }.
% 17.42/17.80 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.42/17.80 X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := U
% 17.42/17.80 T := W
% 17.42/17.80 U := Z
% 17.42/17.80 W := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := Z
% 17.42/17.80 Y := T
% 17.42/17.80 Z := X
% 17.42/17.80 T := Y
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 17.42/17.80 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 17.42/17.80 parent0: (56570) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 17.42/17.80 U, W ), ! perp( Z, T, X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := U
% 17.42/17.80 Y := W
% 17.42/17.80 Z := X
% 17.42/17.80 T := Y
% 17.42/17.80 U := Z
% 17.42/17.80 W := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 factor: (56574) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T, Z
% 17.42/17.80 , T ) }.
% 17.42/17.80 parent0[0, 2]: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 17.42/17.80 para( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := Z
% 17.42/17.80 W := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (294) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para
% 17.42/17.80 ( Z, T, Z, T ) }.
% 17.42/17.80 parent0: (56574) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T,
% 17.42/17.80 Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56575) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol23 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 parent1[0]: (224) {G3,W4,D2,L1,V0,M1} R(195,119) { coll( skol20, skol23,
% 17.42/17.80 skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol20
% 17.42/17.80 Y := skol23
% 17.42/17.80 Z := skol20
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (341) {G4,W4,D2,L1,V0,M1} R(224,0) { coll( skol20, skol20,
% 17.42/17.80 skol23 ) }.
% 17.42/17.80 parent0: (56575) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol23 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56576) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ),
% 17.42/17.80 coll( skol23, X, skol20 ) }.
% 17.42/17.80 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.42/17.80 ), coll( Y, Z, X ) }.
% 17.42/17.80 parent1[0]: (341) {G4,W4,D2,L1,V0,M1} R(224,0) { coll( skol20, skol20,
% 17.42/17.80 skol23 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol20
% 17.42/17.80 Y := skol23
% 17.42/17.80 Z := X
% 17.42/17.80 T := skol20
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (343) {G5,W8,D2,L2,V1,M2} R(341,2) { ! coll( skol20, skol20, X
% 17.42/17.80 ), coll( skol23, X, skol20 ) }.
% 17.42/17.80 parent0: (56576) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ), coll(
% 17.42/17.80 skol23, X, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56579) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 17.42/17.80 ( X, Z, Y, T ) }.
% 17.42/17.80 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.42/17.80 , Y, T, Z ) }.
% 17.42/17.80 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.42/17.80 , Z, Y, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := Y
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 17.42/17.80 cyclic( X, Z, T, Y ) }.
% 17.42/17.80 parent0: (56579) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 17.42/17.80 , Z, Y, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := Y
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 1
% 17.42/17.80 1 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56580) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol20,
% 17.42/17.80 skol25 ) }.
% 17.42/17.80 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 17.42/17.80 T, Z ) }.
% 17.42/17.80 parent1[0]: (269) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol20, skol26,
% 17.42/17.80 skol25, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol20
% 17.42/17.80 Y := skol26
% 17.42/17.80 Z := skol25
% 17.42/17.80 T := skol20
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (356) {G2,W5,D2,L1,V0,M1} R(269,6) { perp( skol20, skol26,
% 17.42/17.80 skol20, skol25 ) }.
% 17.42/17.80 parent0: (56580) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol20,
% 17.42/17.80 skol25 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56581) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 17.42/17.80 ( X, Z, Y, T ) }.
% 17.42/17.80 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.42/17.80 , X, Z, T ) }.
% 17.42/17.80 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.42/17.80 , Z, Y, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := Y
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (369) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 17.42/17.80 cyclic( Y, Z, X, T ) }.
% 17.42/17.80 parent0: (56581) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 17.42/17.80 , Z, Y, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56582) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 17.42/17.80 ( X, Y, T, Z ) }.
% 17.42/17.80 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.42/17.80 , X, Z, T ) }.
% 17.42/17.80 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.42/17.80 , Y, T, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := T
% 17.42/17.80 T := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (371) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 17.42/17.80 cyclic( Y, X, T, Z ) }.
% 17.42/17.80 parent0: (56582) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 17.42/17.80 , Y, T, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56586) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 17.42/17.80 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 17.42/17.80 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.42/17.80 , X, Z, T ) }.
% 17.42/17.80 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 17.42/17.80 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (396) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 17.42/17.80 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 17.42/17.80 parent0: (56586) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 17.42/17.80 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := T
% 17.42/17.80 T := U
% 17.42/17.80 U := X
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 2
% 17.42/17.80 1 ==> 0
% 17.42/17.80 2 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56589) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 17.42/17.80 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.42/17.80 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 17.42/17.80 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.42/17.80 , Y, T, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := T
% 17.42/17.80 T := U
% 17.42/17.80 U := X
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := U
% 17.42/17.80 T := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.42/17.80 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.42/17.80 parent0: (56589) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.42/17.80 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 factor: (56591) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 17.42/17.80 Y, T, T ) }.
% 17.42/17.80 parent0[0, 1]: (396) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 17.42/17.80 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (405) {G2,W10,D2,L2,V4,M2} F(396) { ! cyclic( X, Y, Z, T ),
% 17.42/17.80 cyclic( Z, Y, T, T ) }.
% 17.42/17.80 parent0: (56591) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 17.42/17.80 , Y, T, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56592) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol24, X, Y )
% 17.42/17.80 , ! para( X, Y, skol20, skol22 ) }.
% 17.42/17.80 parent0[0]: (234) {G1,W5,D2,L1,V0,M1} R(4,123) { ! para( skol23, skol24,
% 17.42/17.80 skol20, skol22 ) }.
% 17.42/17.80 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 17.42/17.80 , Z, T ), para( X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := skol23
% 17.42/17.80 Y := skol24
% 17.42/17.80 Z := skol20
% 17.42/17.80 T := skol22
% 17.42/17.80 U := X
% 17.42/17.80 W := Y
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (446) {G2,W10,D2,L2,V2,M2} R(234,5) { ! para( skol23, skol24,
% 17.42/17.80 X, Y ), ! para( X, Y, skol20, skol22 ) }.
% 17.42/17.80 parent0: (56592) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol24, X, Y ), !
% 17.42/17.80 para( X, Y, skol20, skol22 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56594) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 17.42/17.80 ) }.
% 17.42/17.80 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 parent1[0]: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X,
% 17.42/17.80 Z, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := X
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (454) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll(
% 17.42/17.80 Z, X, X ) }.
% 17.42/17.80 parent0: (56594) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := Y
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 1
% 17.42/17.80 1 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56595) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 17.42/17.80 ) }.
% 17.42/17.80 parent0[0]: (454) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 17.42/17.80 , X, X ) }.
% 17.42/17.80 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (462) {G6,W8,D2,L2,V3,M2} R(454,1) { coll( X, Y, Y ), ! coll(
% 17.42/17.80 Z, Y, X ) }.
% 17.42/17.80 parent0: (56595) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := X
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56596) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 17.42/17.80 ) }.
% 17.42/17.80 parent0[0]: (454) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 17.42/17.80 , X, X ) }.
% 17.42/17.80 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := Y
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (463) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll(
% 17.42/17.80 Y, X, Z ) }.
% 17.42/17.80 parent0: (56596) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := X
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56597) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 17.42/17.80 ) }.
% 17.42/17.80 parent0[1]: (463) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll( Y
% 17.42/17.80 , X, Z ) }.
% 17.42/17.80 parent1[0]: (463) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll( Y
% 17.42/17.80 , X, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := X
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (467) {G7,W8,D2,L2,V3,M2} R(463,463) { ! coll( X, Y, Z ), coll
% 17.42/17.80 ( X, Y, Y ) }.
% 17.42/17.80 parent0: (56597) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 1
% 17.42/17.80 1 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56601) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 17.42/17.80 X ), ! coll( X, Y, T ) }.
% 17.42/17.80 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.42/17.80 ), coll( Y, Z, X ) }.
% 17.42/17.80 parent1[1]: (467) {G7,W8,D2,L2,V3,M2} R(463,463) { ! coll( X, Y, Z ), coll
% 17.42/17.80 ( X, Y, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := Y
% 17.42/17.80 T := Y
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (482) {G8,W12,D2,L3,V4,M3} R(467,2) { ! coll( X, Y, Z ), !
% 17.42/17.80 coll( X, Y, T ), coll( T, Y, X ) }.
% 17.42/17.80 parent0: (56601) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 17.42/17.80 , ! coll( X, Y, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := T
% 17.42/17.80 T := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 1
% 17.42/17.80 1 ==> 2
% 17.42/17.80 2 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 factor: (56604) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0, 1]: (482) {G8,W12,D2,L3,V4,M3} R(467,2) { ! coll( X, Y, Z ), !
% 17.42/17.80 coll( X, Y, T ), coll( T, Y, X ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (483) {G9,W8,D2,L2,V3,M2} F(482) { ! coll( X, Y, Z ), coll( Z
% 17.42/17.80 , Y, X ) }.
% 17.42/17.80 parent0: (56604) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56605) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 17.42/17.80 ) }.
% 17.42/17.80 parent0[0]: (483) {G9,W8,D2,L2,V3,M2} F(482) { ! coll( X, Y, Z ), coll( Z,
% 17.42/17.80 Y, X ) }.
% 17.42/17.80 parent1[1]: (467) {G7,W8,D2,L2,V3,M2} R(463,463) { ! coll( X, Y, Z ), coll
% 17.42/17.80 ( X, Y, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Y
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (484) {G10,W8,D2,L2,V3,M2} R(483,467) { coll( X, X, Y ), !
% 17.42/17.80 coll( Y, X, Z ) }.
% 17.42/17.80 parent0: (56605) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56606) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 17.42/17.80 ) }.
% 17.42/17.80 parent0[0]: (483) {G9,W8,D2,L2,V3,M2} F(482) { ! coll( X, Y, Z ), coll( Z,
% 17.42/17.80 Y, X ) }.
% 17.42/17.80 parent1[0]: (462) {G6,W8,D2,L2,V3,M2} R(454,1) { coll( X, Y, Y ), ! coll( Z
% 17.42/17.80 , Y, X ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Y
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (487) {G10,W8,D2,L2,V3,M2} R(483,462) { coll( X, X, Y ), !
% 17.42/17.80 coll( Z, X, Y ) }.
% 17.42/17.80 parent0: (56606) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := X
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56607) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 17.42/17.80 ), ! para( X, Y, U, W ) }.
% 17.42/17.80 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.42/17.80 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.42/17.80 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 17.42/17.80 , Y, U, W, Z, T, U, W ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 U := U
% 17.42/17.80 W := W
% 17.42/17.80 V0 := Z
% 17.42/17.80 V1 := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := U
% 17.42/17.80 T := W
% 17.42/17.80 U := Z
% 17.42/17.80 W := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 17.42/17.80 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 17.42/17.80 parent0: (56607) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 17.42/17.80 , ! para( X, Y, U, W ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := U
% 17.42/17.80 T := W
% 17.42/17.80 U := Z
% 17.42/17.80 W := T
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 1
% 17.42/17.80 1 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56608) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 17.42/17.80 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 17.42/17.80 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 17.42/17.80 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.42/17.80 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.42/17.80 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := Y
% 17.42/17.80 Y := Z
% 17.42/17.80 Z := X
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := T
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := T
% 17.42/17.80 T := Z
% 17.42/17.80 U := X
% 17.42/17.80 W := Y
% 17.42/17.80 V0 := X
% 17.42/17.80 V1 := Z
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (849) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 17.42/17.80 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 17.42/17.80 parent0: (56608) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 17.42/17.80 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := T
% 17.42/17.80 Z := Z
% 17.42/17.80 T := Y
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56609) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 17.42/17.80 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 17.42/17.80 cyclic( X, Y, Z, T ) }.
% 17.42/17.80 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 17.42/17.80 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 17.42/17.80 ), cong( X, Y, Z, T ) }.
% 17.42/17.80 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 17.42/17.80 Z, X, Z, Y, T, X, T, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := X
% 17.42/17.80 T := Y
% 17.42/17.80 U := Z
% 17.42/17.80 W := T
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := T
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 factor: (56611) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 17.42/17.80 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 17.42/17.80 parent0[0, 2]: (56609) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 17.42/17.80 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 17.42/17.80 cyclic( X, Y, Z, T ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := X
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (938) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 17.42/17.80 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 17.42/17.80 parent0: (56611) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 17.42/17.80 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 3
% 17.42/17.80 3 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 factor: (56616) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 17.42/17.80 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.42/17.80 parent0[0, 2]: (938) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 17.42/17.80 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 T := X
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (970) {G2,W15,D2,L3,V3,M3} F(938) { ! cyclic( X, Y, Z, X ), !
% 17.42/17.80 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.42/17.80 parent0: (56616) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 17.42/17.80 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := Z
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 2 ==> 2
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56618) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol20 ), !
% 17.42/17.80 coll( X, Y, skol20 ) }.
% 17.42/17.80 parent0[0]: (343) {G5,W8,D2,L2,V1,M2} R(341,2) { ! coll( skol20, skol20, X
% 17.42/17.80 ), coll( skol23, X, skol20 ) }.
% 17.42/17.80 parent1[1]: (124) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 17.42/17.80 , X ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 Z := skol20
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (3425) {G6,W8,D2,L2,V2,M2} R(343,124) { coll( skol23, X,
% 17.42/17.80 skol20 ), ! coll( X, Y, skol20 ) }.
% 17.42/17.80 parent0: (56618) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol20 ), ! coll(
% 17.42/17.80 X, Y, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 1 ==> 1
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56620) {G2,W8,D2,L2,V2,M2} { coll( X, skol20, skol23 ), !
% 17.42/17.80 coll( X, Y, skol20 ) }.
% 17.42/17.80 parent0[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 17.42/17.80 Z, X ) }.
% 17.42/17.80 parent1[0]: (3425) {G6,W8,D2,L2,V2,M2} R(343,124) { coll( skol23, X, skol20
% 17.42/17.80 ), ! coll( X, Y, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol23
% 17.42/17.80 Y := X
% 17.42/17.80 Z := skol20
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (3473) {G7,W8,D2,L2,V2,M2} R(3425,166) { ! coll( X, Y, skol20
% 17.42/17.80 ), coll( X, skol20, skol23 ) }.
% 17.42/17.80 parent0: (56620) {G2,W8,D2,L2,V2,M2} { coll( X, skol20, skol23 ), ! coll(
% 17.42/17.80 X, Y, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 Y := Y
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 1
% 17.42/17.80 1 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56621) {G1,W9,D2,L2,V0,M2} { ! perp( skol20, skol26, skol20,
% 17.42/17.80 skol25 ), alpha1( skol20, skol20, skol25 ) }.
% 17.42/17.80 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 17.42/17.80 T, X, Z ), alpha1( X, Y, Z ) }.
% 17.42/17.80 parent1[0]: (356) {G2,W5,D2,L1,V0,M1} R(269,6) { perp( skol20, skol26,
% 17.42/17.80 skol20, skol25 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol20
% 17.42/17.80 Y := skol20
% 17.42/17.80 Z := skol25
% 17.42/17.80 T := skol26
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56622) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol25 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0]: (56621) {G1,W9,D2,L2,V0,M2} { ! perp( skol20, skol26, skol20,
% 17.42/17.80 skol25 ), alpha1( skol20, skol20, skol25 ) }.
% 17.42/17.80 parent1[0]: (356) {G2,W5,D2,L1,V0,M1} R(269,6) { perp( skol20, skol26,
% 17.42/17.80 skol20, skol25 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (4270) {G3,W4,D2,L1,V0,M1} R(96,356);r(356) { alpha1( skol20,
% 17.42/17.80 skol20, skol25 ) }.
% 17.42/17.80 parent0: (56622) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol25 )
% 17.42/17.80 }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56623) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol20, X, skol25
% 17.42/17.80 ), skol25, skol20 ) }.
% 17.42/17.80 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 17.42/17.80 ( X, T, Z ), Z, X ) }.
% 17.42/17.80 parent1[0]: (4270) {G3,W4,D2,L1,V0,M1} R(96,356);r(356) { alpha1( skol20,
% 17.42/17.80 skol20, skol25 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol20
% 17.42/17.80 Y := skol20
% 17.42/17.80 Z := skol25
% 17.42/17.80 T := X
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (4396) {G4,W7,D3,L1,V1,M1} R(4270,97) { coll( skol11( skol20,
% 17.42/17.80 X, skol25 ), skol25, skol20 ) }.
% 17.42/17.80 parent0: (56623) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol20, X, skol25 ),
% 17.42/17.80 skol25, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := X
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56624) {G5,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[1]: (487) {G10,W8,D2,L2,V3,M2} R(483,462) { coll( X, X, Y ), ! coll
% 17.42/17.80 ( Z, X, Y ) }.
% 17.42/17.80 parent1[0]: (4396) {G4,W7,D3,L1,V1,M1} R(4270,97) { coll( skol11( skol20, X
% 17.42/17.80 , skol25 ), skol25, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol25
% 17.42/17.80 Y := skol20
% 17.42/17.80 Z := skol11( skol20, X, skol25 )
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 X := X
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (4436) {G11,W4,D2,L1,V0,M1} R(4396,487) { coll( skol25, skol25
% 17.42/17.80 , skol20 ) }.
% 17.42/17.80 parent0: (56624) {G5,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56625) {G8,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol23 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0]: (3473) {G7,W8,D2,L2,V2,M2} R(3425,166) { ! coll( X, Y, skol20 )
% 17.42/17.80 , coll( X, skol20, skol23 ) }.
% 17.42/17.80 parent1[0]: (4436) {G11,W4,D2,L1,V0,M1} R(4396,487) { coll( skol25, skol25
% 17.42/17.80 , skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol25
% 17.42/17.80 Y := skol25
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (4462) {G12,W4,D2,L1,V0,M1} R(4436,3473) { coll( skol25,
% 17.42/17.80 skol20, skol23 ) }.
% 17.42/17.80 parent0: (56625) {G8,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol23 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56626) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol25 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 17.42/17.80 Z, X ) }.
% 17.42/17.80 parent1[0]: (4462) {G12,W4,D2,L1,V0,M1} R(4436,3473) { coll( skol25, skol20
% 17.42/17.80 , skol23 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol25
% 17.42/17.80 Y := skol20
% 17.42/17.80 Z := skol23
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (4829) {G13,W4,D2,L1,V0,M1} R(4462,166) { coll( skol20, skol23
% 17.42/17.80 , skol25 ) }.
% 17.42/17.80 parent0: (56626) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol25 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56627) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol25 ),
% 17.42/17.80 skol26, skol26, skol25 ) }.
% 17.42/17.80 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 17.42/17.80 skol12( X, Y ), X, X, Y ) }.
% 17.42/17.80 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol25, skol26, skol23,
% 17.42/17.80 skol28 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol26
% 17.42/17.80 Y := skol25
% 17.42/17.80 Z := skol23
% 17.42/17.80 T := skol28
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (4867) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol26,
% 17.42/17.80 skol25 ), skol26, skol26, skol25 ) }.
% 17.42/17.80 parent0: (56627) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol25 ),
% 17.42/17.80 skol26, skol26, skol25 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56628) {G4,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol20 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[0]: (174) {G3,W8,D2,L2,V1,M2} R(2,164) { ! coll( skol20, skol23, X
% 17.42/17.80 ), coll( skol26, X, skol20 ) }.
% 17.42/17.80 parent1[0]: (4829) {G13,W4,D2,L1,V0,M1} R(4462,166) { coll( skol20, skol23
% 17.42/17.80 , skol25 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol25
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (9302) {G14,W4,D2,L1,V0,M1} R(174,4829) { coll( skol26, skol25
% 17.42/17.80 , skol20 ) }.
% 17.42/17.80 parent0: (56628) {G4,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56629) {G11,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 )
% 17.42/17.80 }.
% 17.42/17.80 parent0[1]: (484) {G10,W8,D2,L2,V3,M2} R(483,467) { coll( X, X, Y ), ! coll
% 17.42/17.80 ( Y, X, Z ) }.
% 17.42/17.80 parent1[0]: (9302) {G14,W4,D2,L1,V0,M1} R(174,4829) { coll( skol26, skol25
% 17.42/17.80 , skol20 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 X := skol25
% 17.42/17.80 Y := skol26
% 17.42/17.80 Z := skol20
% 17.42/17.80 end
% 17.42/17.80 substitution1:
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 subsumption: (9356) {G15,W4,D2,L1,V0,M1} R(9302,484) { coll( skol25, skol25
% 17.42/17.80 , skol26 ) }.
% 17.42/17.80 parent0: (56629) {G11,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 ) }.
% 17.42/17.80 substitution0:
% 17.42/17.80 end
% 17.42/17.80 permutation0:
% 17.42/17.80 0 ==> 0
% 17.42/17.80 end
% 17.42/17.80
% 17.42/17.80 resolution: (56630) {G2,W5,D2,L1,V0,M1} { para( skol26, skol25, skol26,
% 17.42/17.80 skol25 ) }.
% 17.42/17.80 parent0[0]: (294) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para
% 17.42/17.80 ( Z, T, Z, T ) }.
% 17.42/17.80 parent1[0]: (4867) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol26,
% 17.42/17.81 skol25 ), skol26, skol26, skol25 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol12( skol26, skol25 )
% 17.42/17.81 Y := skol26
% 17.42/17.81 Z := skol26
% 17.42/17.81 T := skol25
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (23442) {G3,W5,D2,L1,V0,M1} R(4867,294) { para( skol26, skol25
% 17.42/17.81 , skol26, skol25 ) }.
% 17.42/17.81 parent0: (56630) {G2,W5,D2,L1,V0,M1} { para( skol26, skol25, skol26,
% 17.42/17.81 skol25 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56631) {G2,W5,D2,L1,V0,M1} { para( skol26, skol25, skol25,
% 17.42/17.81 skol26 ) }.
% 17.42/17.81 parent0[0]: (233) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 17.42/17.81 ( Z, T, Y, X ) }.
% 17.42/17.81 parent1[0]: (23442) {G3,W5,D2,L1,V0,M1} R(4867,294) { para( skol26, skol25
% 17.42/17.81 , skol26, skol25 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol26
% 17.42/17.81 Y := skol25
% 17.42/17.81 Z := skol26
% 17.42/17.81 T := skol25
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (23471) {G4,W5,D2,L1,V0,M1} R(23442,233) { para( skol26,
% 17.42/17.81 skol25, skol25, skol26 ) }.
% 17.42/17.81 parent0: (56631) {G2,W5,D2,L1,V0,M1} { para( skol26, skol25, skol25,
% 17.42/17.81 skol26 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56632) {G3,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 17.42/17.81 skol26 ) }.
% 17.42/17.81 parent0[0]: (251) {G2,W10,D2,L2,V4,M2} F(243) { ! para( X, Y, Z, T ), para
% 17.42/17.81 ( Z, T, Z, T ) }.
% 17.42/17.81 parent1[0]: (23471) {G4,W5,D2,L1,V0,M1} R(23442,233) { para( skol26, skol25
% 17.42/17.81 , skol25, skol26 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol26
% 17.42/17.81 Y := skol25
% 17.42/17.81 Z := skol25
% 17.42/17.81 T := skol26
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (23479) {G5,W5,D2,L1,V0,M1} R(23471,251) { para( skol25,
% 17.42/17.81 skol26, skol25, skol26 ) }.
% 17.42/17.81 parent0: (56632) {G3,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 17.42/17.81 skol26 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56633) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X
% 17.42/17.81 , Y, skol25, skol26 ) }.
% 17.42/17.81 parent0[0]: (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 17.42/17.81 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 17.42/17.81 parent1[0]: (23479) {G5,W5,D2,L1,V0,M1} R(23471,251) { para( skol25, skol26
% 17.42/17.81 , skol25, skol26 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol25
% 17.42/17.81 Y := skol26
% 17.42/17.81 Z := skol25
% 17.42/17.81 T := skol26
% 17.42/17.81 U := X
% 17.42/17.81 W := Y
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (47087) {G6,W9,D2,L1,V2,M1} R(798,23479) { eqangle( X, Y,
% 17.42/17.81 skol25, skol26, X, Y, skol25, skol26 ) }.
% 17.42/17.81 parent0: (56633) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X, Y
% 17.42/17.81 , skol25, skol26 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56634) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol25,
% 17.42/17.81 skol25 ), ! eqangle( skol25, X, skol25, skol26, skol25, X, skol25, skol26
% 17.42/17.81 ) }.
% 17.42/17.81 parent0[0]: (849) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 17.42/17.81 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 17.42/17.81 parent1[0]: (9356) {G15,W4,D2,L1,V0,M1} R(9302,484) { coll( skol25, skol25
% 17.42/17.81 , skol26 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol25
% 17.42/17.81 Y := skol25
% 17.42/17.81 Z := skol26
% 17.42/17.81 T := X
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56635) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25,
% 17.42/17.81 skol25 ) }.
% 17.42/17.81 parent0[1]: (56634) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol25,
% 17.42/17.81 skol25 ), ! eqangle( skol25, X, skol25, skol26, skol25, X, skol25, skol26
% 17.42/17.81 ) }.
% 17.42/17.81 parent1[0]: (47087) {G6,W9,D2,L1,V2,M1} R(798,23479) { eqangle( X, Y,
% 17.42/17.81 skol25, skol26, X, Y, skol25, skol26 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := skol25
% 17.42/17.81 Y := X
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (50199) {G16,W5,D2,L1,V1,M1} R(849,9356);r(47087) { cyclic( X
% 17.42/17.81 , skol26, skol25, skol25 ) }.
% 17.42/17.81 parent0: (56635) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25, skol25 )
% 17.42/17.81 }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56636) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25,
% 17.42/17.81 skol25 ) }.
% 17.42/17.81 parent0[1]: (371) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 17.42/17.81 cyclic( Y, X, T, Z ) }.
% 17.42/17.81 parent1[0]: (50199) {G16,W5,D2,L1,V1,M1} R(849,9356);r(47087) { cyclic( X,
% 17.42/17.81 skol26, skol25, skol25 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol26
% 17.42/17.81 Y := X
% 17.42/17.81 Z := skol25
% 17.42/17.81 T := skol25
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (50298) {G17,W5,D2,L1,V1,M1} R(50199,371) { cyclic( skol26, X
% 17.42/17.81 , skol25, skol25 ) }.
% 17.42/17.81 parent0: (56636) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25, skol25 )
% 17.42/17.81 }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56637) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25,
% 17.42/17.81 skol25 ) }.
% 17.42/17.81 parent0[0]: (405) {G2,W10,D2,L2,V4,M2} F(396) { ! cyclic( X, Y, Z, T ),
% 17.42/17.81 cyclic( Z, Y, T, T ) }.
% 17.42/17.81 parent1[0]: (50298) {G17,W5,D2,L1,V1,M1} R(50199,371) { cyclic( skol26, X,
% 17.42/17.81 skol25, skol25 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol26
% 17.42/17.81 Y := X
% 17.42/17.81 Z := skol25
% 17.42/17.81 T := skol25
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (50310) {G18,W5,D2,L1,V1,M1} R(50298,405) { cyclic( skol25, X
% 17.42/17.81 , skol25, skol25 ) }.
% 17.42/17.81 parent0: (56637) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25, skol25 )
% 17.42/17.81 }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56638) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X,
% 17.42/17.81 skol25 ) }.
% 17.42/17.81 parent0[1]: (369) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 17.42/17.81 cyclic( Y, Z, X, T ) }.
% 17.42/17.81 parent1[0]: (50310) {G18,W5,D2,L1,V1,M1} R(50298,405) { cyclic( skol25, X,
% 17.42/17.81 skol25, skol25 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol25
% 17.42/17.81 Y := skol25
% 17.42/17.81 Z := X
% 17.42/17.81 T := skol25
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (50332) {G19,W5,D2,L1,V1,M1} R(50310,369) { cyclic( skol25,
% 17.42/17.81 skol25, X, skol25 ) }.
% 17.42/17.81 parent0: (56638) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X, skol25 )
% 17.42/17.81 }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56639) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25,
% 17.42/17.81 X ) }.
% 17.42/17.81 parent0[0]: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 17.42/17.81 cyclic( X, Z, T, Y ) }.
% 17.42/17.81 parent1[0]: (50310) {G18,W5,D2,L1,V1,M1} R(50298,405) { cyclic( skol25, X,
% 17.42/17.81 skol25, skol25 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol25
% 17.42/17.81 Y := X
% 17.42/17.81 Z := skol25
% 17.42/17.81 T := skol25
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (50333) {G19,W5,D2,L1,V1,M1} R(50310,352) { cyclic( skol25,
% 17.42/17.81 skol25, skol25, X ) }.
% 17.42/17.81 parent0: (56639) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25, X )
% 17.42/17.81 }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56641) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 17.42/17.81 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 17.42/17.81 parent0[2]: (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.42/17.81 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.42/17.81 parent1[0]: (50332) {G19,W5,D2,L1,V1,M1} R(50310,369) { cyclic( skol25,
% 17.42/17.81 skol25, X, skol25 ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol25
% 17.42/17.81 Y := skol25
% 17.42/17.81 Z := skol25
% 17.42/17.81 T := X
% 17.42/17.81 U := Y
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := Y
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56642) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y )
% 17.42/17.81 }.
% 17.42/17.81 parent0[0]: (56641) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 17.42/17.81 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 17.42/17.81 parent1[0]: (50333) {G19,W5,D2,L1,V1,M1} R(50310,352) { cyclic( skol25,
% 17.42/17.81 skol25, skol25, X ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (50338) {G20,W5,D2,L1,V2,M1} R(50332,401);r(50333) { cyclic(
% 17.42/17.81 skol25, skol25, X, Y ) }.
% 17.42/17.81 parent0: (56642) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56643) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 17.42/17.81 cyclic( skol25, skol25, Z, X ) }.
% 17.42/17.81 parent0[0]: (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.42/17.81 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.42/17.81 parent1[0]: (50338) {G20,W5,D2,L1,V2,M1} R(50332,401);r(50333) { cyclic(
% 17.42/17.81 skol25, skol25, X, Y ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol25
% 17.42/17.81 Y := skol25
% 17.42/17.81 Z := X
% 17.42/17.81 T := Y
% 17.42/17.81 U := Z
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56645) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 17.42/17.81 parent0[1]: (56643) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 17.42/17.81 cyclic( skol25, skol25, Z, X ) }.
% 17.42/17.81 parent1[0]: (50338) {G20,W5,D2,L1,V2,M1} R(50332,401);r(50333) { cyclic(
% 17.42/17.81 skol25, skol25, X, Y ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := Z
% 17.42/17.81 Y := X
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (50546) {G21,W5,D2,L1,V3,M1} R(50338,401);r(50338) { cyclic(
% 17.42/17.81 skol25, X, Y, Z ) }.
% 17.42/17.81 parent0: (56645) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56646) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 17.42/17.81 ( skol25, X, T, Y ) }.
% 17.42/17.81 parent0[0]: (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.42/17.81 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.42/17.81 parent1[0]: (50546) {G21,W5,D2,L1,V3,M1} R(50338,401);r(50338) { cyclic(
% 17.42/17.81 skol25, X, Y, Z ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := skol25
% 17.42/17.81 Y := X
% 17.42/17.81 Z := Y
% 17.42/17.81 T := Z
% 17.42/17.81 U := T
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56648) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 17.42/17.81 parent0[1]: (56646) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 17.42/17.81 ( skol25, X, T, Y ) }.
% 17.42/17.81 parent1[0]: (50546) {G21,W5,D2,L1,V3,M1} R(50338,401);r(50338) { cyclic(
% 17.42/17.81 skol25, X, Y, Z ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 T := T
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 Y := T
% 17.42/17.81 Z := Y
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (50565) {G22,W5,D2,L1,V4,M1} R(50546,401);r(50546) { cyclic( X
% 17.42/17.81 , Y, Z, T ) }.
% 17.42/17.81 parent0: (56648) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 T := T
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56651) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 17.42/17.81 , Y, X, Y ) }.
% 17.42/17.81 parent0[0]: (970) {G2,W15,D2,L3,V3,M3} F(938) { ! cyclic( X, Y, Z, X ), !
% 17.42/17.81 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.42/17.81 parent1[0]: (50565) {G22,W5,D2,L1,V4,M1} R(50546,401);r(50546) { cyclic( X
% 17.42/17.81 , Y, Z, T ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 T := X
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56653) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 17.42/17.81 parent0[0]: (56651) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 17.42/17.81 , Y, X, Y ) }.
% 17.42/17.81 parent1[0]: (50565) {G22,W5,D2,L1,V4,M1} R(50546,401);r(50546) { cyclic( X
% 17.42/17.81 , Y, Z, T ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 T := Y
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (55727) {G23,W5,D2,L1,V2,M1} S(970);r(50565);r(50565) { cong(
% 17.42/17.81 X, Y, X, Y ) }.
% 17.42/17.81 parent0: (56653) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56654) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 17.42/17.81 X, Y, Z ) }.
% 17.42/17.81 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 17.42/17.81 T, Y, T ), perp( X, Y, Z, T ) }.
% 17.42/17.81 parent1[0]: (55727) {G23,W5,D2,L1,V2,M1} S(970);r(50565);r(50565) { cong( X
% 17.42/17.81 , Y, X, Y ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := X
% 17.42/17.81 Z := Y
% 17.42/17.81 T := Z
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56656) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 17.42/17.81 parent0[0]: (56654) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 17.42/17.81 X, Y, Z ) }.
% 17.42/17.81 parent1[0]: (55727) {G23,W5,D2,L1,V2,M1} S(970);r(50565);r(50565) { cong( X
% 17.42/17.81 , Y, X, Y ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Z
% 17.42/17.81 Z := Y
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (55744) {G24,W5,D2,L1,V3,M1} R(55727,56);r(55727) { perp( X, X
% 17.42/17.81 , Z, Y ) }.
% 17.42/17.81 parent0: (56656) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56657) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 17.42/17.81 X, T, U ) }.
% 17.42/17.81 parent0[0]: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 17.42/17.81 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 17.42/17.81 parent1[0]: (55744) {G24,W5,D2,L1,V3,M1} R(55727,56);r(55727) { perp( X, X
% 17.42/17.81 , Z, Y ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := X
% 17.42/17.81 Z := Y
% 17.42/17.81 T := Z
% 17.42/17.81 U := T
% 17.42/17.81 W := U
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Z
% 17.42/17.81 Z := Y
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56659) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 17.42/17.81 parent0[1]: (56657) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 17.42/17.81 X, T, U ) }.
% 17.42/17.81 parent1[0]: (55744) {G24,W5,D2,L1,V3,M1} R(55727,56);r(55727) { perp( X, X
% 17.42/17.81 , Z, Y ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := U
% 17.42/17.81 Y := Z
% 17.42/17.81 Z := T
% 17.42/17.81 T := X
% 17.42/17.81 U := Y
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := U
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := X
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (55781) {G25,W5,D2,L1,V4,M1} R(55744,278);r(55744) { para( X,
% 17.42/17.81 Y, Z, T ) }.
% 17.42/17.81 parent0: (56659) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := Z
% 17.42/17.81 T := T
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 0 ==> 0
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56660) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol20, skol22 )
% 17.42/17.81 }.
% 17.42/17.81 parent0[0]: (446) {G2,W10,D2,L2,V2,M2} R(234,5) { ! para( skol23, skol24, X
% 17.42/17.81 , Y ), ! para( X, Y, skol20, skol22 ) }.
% 17.42/17.81 parent1[0]: (55781) {G25,W5,D2,L1,V4,M1} R(55744,278);r(55744) { para( X, Y
% 17.42/17.81 , Z, T ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := skol23
% 17.42/17.81 Y := skol24
% 17.42/17.81 Z := X
% 17.42/17.81 T := Y
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 resolution: (56662) {G4,W0,D0,L0,V0,M0} { }.
% 17.42/17.81 parent0[0]: (56660) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol20, skol22 )
% 17.42/17.81 }.
% 17.42/17.81 parent1[0]: (55781) {G25,W5,D2,L1,V4,M1} R(55744,278);r(55744) { para( X, Y
% 17.42/17.81 , Z, T ) }.
% 17.42/17.81 substitution0:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 end
% 17.42/17.81 substitution1:
% 17.42/17.81 X := X
% 17.42/17.81 Y := Y
% 17.42/17.81 Z := skol20
% 17.42/17.81 T := skol22
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 subsumption: (55955) {G26,W0,D0,L0,V0,M0} R(55781,446);r(55781) { }.
% 17.42/17.81 parent0: (56662) {G4,W0,D0,L0,V0,M0} { }.
% 17.42/17.81 substitution0:
% 17.42/17.81 end
% 17.42/17.81 permutation0:
% 17.42/17.81 end
% 17.42/17.81
% 17.42/17.81 Proof check complete!
% 17.42/17.81
% 17.42/17.81 Memory use:
% 17.42/17.81
% 17.42/17.81 space for terms: 788804
% 17.42/17.81 space for clauses: 2344233
% 17.42/17.81
% 17.42/17.81
% 17.42/17.81 clauses generated: 517273
% 17.42/17.81 clauses kept: 55956
% 17.42/17.81 clauses selected: 3155
% 17.42/17.81 clauses deleted: 5957
% 17.42/17.81 clauses inuse deleted: 183
% 17.42/17.81
% 17.42/17.81 subsentry: 27102439
% 17.42/17.81 literals s-matched: 14614903
% 17.42/17.81 literals matched: 8476076
% 17.42/17.81 full subsumption: 2266920
% 17.42/17.81
% 17.42/17.81 checksum: 1558457527
% 17.42/17.81
% 17.42/17.81
% 17.42/17.81 Bliksem ended
%------------------------------------------------------------------------------