TSTP Solution File: GEO563+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO563+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:44 EDT 2022
% Result : Theorem 21.28s 21.64s
% Output : Refutation 21.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO563+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jun 17 23:27:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.73/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.73/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.73/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.73/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.73/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.73/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.73/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.73/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.73/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.73/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.73/1.12 ( X, Y, Z, T ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.73/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.73/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.73/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.73/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.73/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.73/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.73/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.73/1.12 ( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.73/1.12 ( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.73/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.73/1.12 T ) }.
% 0.73/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.73/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.73/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.73/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.73/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.73/1.12 }.
% 0.73/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.73/1.12 Z, Y ) }.
% 0.73/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.73/1.12 X, Z ) }.
% 0.73/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.73/1.12 U ) }.
% 0.73/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.73/1.12 , Z ), midp( Z, X, Y ) }.
% 0.73/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.73/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.73/1.12 Z, Y ) }.
% 0.73/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.73/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.73/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.73/1.12 ( Y, X, X, Z ) }.
% 0.73/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.73/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.73/1.12 , W ) }.
% 0.73/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.73/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.73/1.12 , Y ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.73/1.12 , X, Z, U, Y, Y, T ) }.
% 0.73/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.73/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.73/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.73/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.73/1.12 .
% 0.73/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.73/1.12 , Z, T ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.73/1.12 , Z, T ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.73/1.12 , Z, T ) }.
% 0.73/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.73/1.12 , W, Z, T ), Z, T ) }.
% 0.73/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.73/1.12 , Y, Z, T ), X, Y ) }.
% 0.73/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.73/1.12 , W, Z, T ), Z, T ) }.
% 0.73/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.73/1.12 skol2( X, Y, Z, T ) ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.73/1.12 , W, Z, T ), Z, T ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.73/1.12 skol3( X, Y, Z, T ) ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.73/1.12 , T ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.73/1.12 ) ) }.
% 0.73/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.73/1.12 skol5( W, Y, Z, T ) ) }.
% 0.73/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.73/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.73/1.12 , X, T ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.73/1.12 W, X, Z ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.73/1.12 , Y, T ) }.
% 0.73/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.73/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.73/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.73/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.73/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.73/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.73/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.73/1.12 Z, T ) ) }.
% 0.73/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.73/1.12 , T ) ) }.
% 0.73/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.73/1.12 , X, Y ) }.
% 0.73/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.73/1.12 ) }.
% 0.73/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.73/1.12 , Y ) }.
% 0.73/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.73/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.80/5.22 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.80/5.22 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.80/5.22 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.80/5.22 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.80/5.22 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.80/5.22 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.80/5.22 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.80/5.22 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.80/5.22 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.80/5.22 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.80/5.22 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.80/5.22 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.80/5.22 X, Y, Z ) }.
% 4.80/5.22 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.80/5.22 }.
% 4.80/5.22 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.80/5.22 ) }.
% 4.80/5.22 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.80/5.22 skol17( X, Y ), X, Y ) }.
% 4.80/5.22 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.80/5.22 }.
% 4.80/5.22 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.80/5.22 ) }.
% 4.80/5.22 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.80/5.22 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.80/5.22 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.80/5.22 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.80/5.22 { circle( skol26, skol25, skol20, skol22 ) }.
% 4.80/5.22 { circle( skol26, skol25, skol27, skol28 ) }.
% 4.80/5.22 { coll( skol29, skol25, skol27 ) }.
% 4.80/5.22 { circle( skol30, skol29, skol22, skol25 ) }.
% 4.80/5.22 { circle( skol30, skol25, skol23, skol31 ) }.
% 4.80/5.22 { coll( skol24, skol20, skol27 ) }.
% 4.80/5.22 { coll( skol24, skol29, skol23 ) }.
% 4.80/5.22 { ! eqangle( skol20, skol24, skol24, skol23, skol20, skol22, skol22, skol23
% 4.80/5.22 ) }.
% 4.80/5.22
% 4.80/5.22 percentage equality = 0.008772, percentage horn = 0.927419
% 4.80/5.22 This is a problem with some equality
% 4.80/5.22
% 4.80/5.22
% 4.80/5.22
% 4.80/5.22 Options Used:
% 4.80/5.22
% 4.80/5.22 useres = 1
% 4.80/5.22 useparamod = 1
% 4.80/5.22 useeqrefl = 1
% 4.80/5.22 useeqfact = 1
% 4.80/5.22 usefactor = 1
% 4.80/5.22 usesimpsplitting = 0
% 4.80/5.22 usesimpdemod = 5
% 4.80/5.22 usesimpres = 3
% 4.80/5.22
% 4.80/5.22 resimpinuse = 1000
% 4.80/5.22 resimpclauses = 20000
% 4.80/5.22 substype = eqrewr
% 4.80/5.22 backwardsubs = 1
% 4.80/5.22 selectoldest = 5
% 4.80/5.22
% 4.80/5.22 litorderings [0] = split
% 4.80/5.22 litorderings [1] = extend the termordering, first sorting on arguments
% 4.80/5.22
% 4.80/5.22 termordering = kbo
% 4.80/5.22
% 4.80/5.22 litapriori = 0
% 4.80/5.22 termapriori = 1
% 4.80/5.22 litaposteriori = 0
% 4.80/5.22 termaposteriori = 0
% 4.80/5.22 demodaposteriori = 0
% 4.80/5.22 ordereqreflfact = 0
% 4.80/5.22
% 4.80/5.22 litselect = negord
% 4.80/5.22
% 4.80/5.22 maxweight = 15
% 4.80/5.22 maxdepth = 30000
% 4.80/5.22 maxlength = 115
% 4.80/5.22 maxnrvars = 195
% 4.80/5.22 excuselevel = 1
% 4.80/5.22 increasemaxweight = 1
% 4.80/5.22
% 4.80/5.22 maxselected = 10000000
% 4.80/5.22 maxnrclauses = 10000000
% 4.80/5.22
% 4.80/5.22 showgenerated = 0
% 4.80/5.22 showkept = 0
% 4.80/5.22 showselected = 0
% 4.80/5.22 showdeleted = 0
% 4.80/5.22 showresimp = 1
% 4.80/5.22 showstatus = 2000
% 4.80/5.22
% 4.80/5.22 prologoutput = 0
% 4.80/5.22 nrgoals = 5000000
% 4.80/5.22 totalproof = 1
% 4.80/5.22
% 4.80/5.22 Symbols occurring in the translation:
% 4.80/5.22
% 4.80/5.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.80/5.22 . [1, 2] (w:1, o:45, a:1, s:1, b:0),
% 4.80/5.22 ! [4, 1] (w:0, o:40, a:1, s:1, b:0),
% 4.80/5.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.80/5.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.80/5.22 coll [38, 3] (w:1, o:73, a:1, s:1, b:0),
% 4.80/5.22 para [40, 4] (w:1, o:81, a:1, s:1, b:0),
% 4.80/5.22 perp [43, 4] (w:1, o:82, a:1, s:1, b:0),
% 4.80/5.22 midp [45, 3] (w:1, o:74, a:1, s:1, b:0),
% 4.80/5.22 cong [47, 4] (w:1, o:83, a:1, s:1, b:0),
% 4.80/5.22 circle [48, 4] (w:1, o:84, a:1, s:1, b:0),
% 4.80/5.22 cyclic [49, 4] (w:1, o:85, a:1, s:1, b:0),
% 4.80/5.22 eqangle [54, 8] (w:1, o:100, a:1, s:1, b:0),
% 4.80/5.22 eqratio [57, 8] (w:1, o:101, a:1, s:1, b:0),
% 4.80/5.22 simtri [59, 6] (w:1, o:97, a:1, s:1, b:0),
% 4.80/5.22 contri [60, 6] (w:1, o:98, a:1, s:1, b:0),
% 4.80/5.22 alpha1 [69, 3] (w:1, o:75, a:1, s:1, b:1),
% 4.80/5.22 alpha2 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.80/5.22 skol1 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.80/5.22 skol2 [72, 4] (w:1, o:89, a:1, s:1, b:1),
% 4.80/5.22 skol3 [73, 4] (w:1, o:91, a:1, s:1, b:1),
% 4.80/5.22 skol4 [74, 4] (w:1, o:92, a:1, s:1, b:1),
% 4.80/5.22 skol5 [75, 4] (w:1, o:93, a:1, s:1, b:1),
% 4.80/5.22 skol6 [76, 6] (w:1, o:99, a:1, s:1, b:1),
% 21.28/21.64 skol7 [77, 2] (w:1, o:69, a:1, s:1, b:1),
% 21.28/21.64 skol8 [78, 4] (w:1, o:94, a:1, s:1, b:1),
% 21.28/21.64 skol9 [79, 4] (w:1, o:95, a:1, s:1, b:1),
% 21.28/21.64 skol10 [80, 3] (w:1, o:76, a:1, s:1, b:1),
% 21.28/21.64 skol11 [81, 3] (w:1, o:77, a:1, s:1, b:1),
% 21.28/21.64 skol12 [82, 2] (w:1, o:70, a:1, s:1, b:1),
% 21.28/21.64 skol13 [83, 5] (w:1, o:96, a:1, s:1, b:1),
% 21.28/21.64 skol14 [84, 3] (w:1, o:78, a:1, s:1, b:1),
% 21.28/21.64 skol15 [85, 3] (w:1, o:79, a:1, s:1, b:1),
% 21.28/21.64 skol16 [86, 3] (w:1, o:80, a:1, s:1, b:1),
% 21.28/21.64 skol17 [87, 2] (w:1, o:71, a:1, s:1, b:1),
% 21.28/21.64 skol18 [88, 2] (w:1, o:72, a:1, s:1, b:1),
% 21.28/21.64 skol19 [89, 4] (w:1, o:88, a:1, s:1, b:1),
% 21.28/21.64 skol20 [90, 0] (w:1, o:29, a:1, s:1, b:1),
% 21.28/21.64 skol21 [91, 4] (w:1, o:90, a:1, s:1, b:1),
% 21.28/21.64 skol22 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 21.28/21.64 skol23 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 21.28/21.64 skol24 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 21.28/21.64 skol25 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 21.28/21.64 skol26 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 21.28/21.64 skol27 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 21.28/21.64 skol28 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 21.28/21.64 skol29 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 21.28/21.64 skol30 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 21.28/21.64 skol31 [101, 0] (w:1, o:39, a:1, s:1, b:1).
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Starting Search:
% 21.28/21.64
% 21.28/21.64 *** allocated 15000 integers for clauses
% 21.28/21.64 *** allocated 22500 integers for clauses
% 21.28/21.64 *** allocated 33750 integers for clauses
% 21.28/21.64 *** allocated 22500 integers for termspace/termends
% 21.28/21.64 *** allocated 50625 integers for clauses
% 21.28/21.64 *** allocated 75937 integers for clauses
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 33750 integers for termspace/termends
% 21.28/21.64 *** allocated 113905 integers for clauses
% 21.28/21.64 *** allocated 50625 integers for termspace/termends
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 19909
% 21.28/21.64 Kept: 2070
% 21.28/21.64 Inuse: 336
% 21.28/21.64 Deleted: 1
% 21.28/21.64 Deletedinuse: 1
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 170857 integers for clauses
% 21.28/21.64 *** allocated 75937 integers for termspace/termends
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 256285 integers for clauses
% 21.28/21.64 *** allocated 113905 integers for termspace/termends
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 38799
% 21.28/21.64 Kept: 4168
% 21.28/21.64 Inuse: 469
% 21.28/21.64 Deleted: 19
% 21.28/21.64 Deletedinuse: 2
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 170857 integers for termspace/termends
% 21.28/21.64 *** allocated 384427 integers for clauses
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 50973
% 21.28/21.64 Kept: 6333
% 21.28/21.64 Inuse: 534
% 21.28/21.64 Deleted: 19
% 21.28/21.64 Deletedinuse: 2
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 576640 integers for clauses
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 72992
% 21.28/21.64 Kept: 8405
% 21.28/21.64 Inuse: 727
% 21.28/21.64 Deleted: 21
% 21.28/21.64 Deletedinuse: 2
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 256285 integers for termspace/termends
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 89534
% 21.28/21.64 Kept: 10406
% 21.28/21.64 Inuse: 801
% 21.28/21.64 Deleted: 28
% 21.28/21.64 Deletedinuse: 5
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 864960 integers for clauses
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 100106
% 21.28/21.64 Kept: 12695
% 21.28/21.64 Inuse: 843
% 21.28/21.64 Deleted: 32
% 21.28/21.64 Deletedinuse: 9
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 115598
% 21.28/21.64 Kept: 14701
% 21.28/21.64 Inuse: 947
% 21.28/21.64 Deleted: 37
% 21.28/21.64 Deletedinuse: 9
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 384427 integers for termspace/termends
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 143310
% 21.28/21.64 Kept: 16703
% 21.28/21.64 Inuse: 1070
% 21.28/21.64 Deleted: 47
% 21.28/21.64 Deletedinuse: 9
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 162054
% 21.28/21.64 Kept: 18704
% 21.28/21.64 Inuse: 1187
% 21.28/21.64 Deleted: 62
% 21.28/21.64 Deletedinuse: 18
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 1297440 integers for clauses
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying clauses:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 175177
% 21.28/21.64 Kept: 20716
% 21.28/21.64 Inuse: 1283
% 21.28/21.64 Deleted: 1660
% 21.28/21.64 Deletedinuse: 34
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 189164
% 21.28/21.64 Kept: 22720
% 21.28/21.64 Inuse: 1417
% 21.28/21.64 Deleted: 1678
% 21.28/21.64 Deletedinuse: 52
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 208414
% 21.28/21.64 Kept: 25932
% 21.28/21.64 Inuse: 1575
% 21.28/21.64 Deleted: 1691
% 21.28/21.64 Deletedinuse: 64
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 576640 integers for termspace/termends
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 215277
% 21.28/21.64 Kept: 27940
% 21.28/21.64 Inuse: 1619
% 21.28/21.64 Deleted: 1691
% 21.28/21.64 Deletedinuse: 64
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 1946160 integers for clauses
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 223688
% 21.28/21.64 Kept: 30141
% 21.28/21.64 Inuse: 1635
% 21.28/21.64 Deleted: 1693
% 21.28/21.64 Deletedinuse: 66
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 240391
% 21.28/21.64 Kept: 32145
% 21.28/21.64 Inuse: 1704
% 21.28/21.64 Deleted: 1700
% 21.28/21.64 Deletedinuse: 72
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 247593
% 21.28/21.64 Kept: 34250
% 21.28/21.64 Inuse: 1728
% 21.28/21.64 Deleted: 1706
% 21.28/21.64 Deletedinuse: 77
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 260937
% 21.28/21.64 Kept: 36841
% 21.28/21.64 Inuse: 1833
% 21.28/21.64 Deleted: 1711
% 21.28/21.64 Deletedinuse: 77
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 270447
% 21.28/21.64 Kept: 39041
% 21.28/21.64 Inuse: 1894
% 21.28/21.64 Deleted: 1716
% 21.28/21.64 Deletedinuse: 78
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying clauses:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 286215
% 21.28/21.64 Kept: 41041
% 21.28/21.64 Inuse: 2026
% 21.28/21.64 Deleted: 7064
% 21.28/21.64 Deletedinuse: 86
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 *** allocated 864960 integers for termspace/termends
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 304304
% 21.28/21.64 Kept: 43042
% 21.28/21.64 Inuse: 2184
% 21.28/21.64 Deleted: 7070
% 21.28/21.64 Deletedinuse: 92
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 322592
% 21.28/21.64 Kept: 45049
% 21.28/21.64 Inuse: 2349
% 21.28/21.64 Deleted: 7077
% 21.28/21.64 Deletedinuse: 99
% 21.28/21.64
% 21.28/21.64 *** allocated 2919240 integers for clauses
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 348721
% 21.28/21.64 Kept: 47338
% 21.28/21.64 Inuse: 2473
% 21.28/21.64 Deleted: 7084
% 21.28/21.64 Deletedinuse: 103
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 365770
% 21.28/21.64 Kept: 49353
% 21.28/21.64 Inuse: 2626
% 21.28/21.64 Deleted: 7257
% 21.28/21.64 Deletedinuse: 203
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 387693
% 21.28/21.64 Kept: 51358
% 21.28/21.64 Inuse: 2763
% 21.28/21.64 Deleted: 7291
% 21.28/21.64 Deletedinuse: 203
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Intermediate Status:
% 21.28/21.64 Generated: 410773
% 21.28/21.64 Kept: 53364
% 21.28/21.64 Inuse: 2865
% 21.28/21.64 Deleted: 7313
% 21.28/21.64 Deletedinuse: 207
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64 Resimplifying inuse:
% 21.28/21.64 Done
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Bliksems!, er is een bewijs:
% 21.28/21.64 % SZS status Theorem
% 21.28/21.64 % SZS output start Refutation
% 21.28/21.64
% 21.28/21.64 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 21.28/21.64 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 21.28/21.64 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 21.28/21.64 , Z, X ) }.
% 21.28/21.64 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 21.28/21.64 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 21.28/21.64 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 21.28/21.64 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 21.28/21.64 para( X, Y, Z, T ) }.
% 21.28/21.64 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 21.28/21.64 }.
% 21.28/21.64 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 21.28/21.64 }.
% 21.28/21.64 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 21.28/21.64 }.
% 21.28/21.64 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 21.28/21.64 ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 21.28/21.64 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 21.28/21.64 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 21.28/21.64 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 21.28/21.64 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 21.28/21.64 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ) }.
% 21.28/21.64 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 21.28/21.64 , T, U, W ) }.
% 21.28/21.64 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 21.28/21.64 T, X, T, Y ) }.
% 21.28/21.64 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 21.28/21.64 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 21.28/21.64 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 21.28/21.64 , Y, Z, T ) }.
% 21.28/21.64 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 21.28/21.64 perp( X, Y, Y, Z ) }.
% 21.28/21.64 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 21.28/21.64 perp( X, Y, Z, T ) }.
% 21.28/21.64 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 21.28/21.64 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 21.28/21.64 alpha1( X, Y, Z ) }.
% 21.28/21.64 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 21.28/21.64 , Z, X ) }.
% 21.28/21.64 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 21.28/21.64 , X, X, Y ) }.
% 21.28/21.64 (118) {G0,W4,D2,L1,V0,M1} I { coll( skol29, skol25, skol27 ) }.
% 21.28/21.64 (119) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol29, skol22, skol25 ) }.
% 21.28/21.64 (123) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol24, skol24, skol23,
% 21.28/21.64 skol20, skol22, skol22, skol23 ) }.
% 21.28/21.64 (161) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol29, skol27, skol25 ) }.
% 21.28/21.64 (166) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol27, skol29, skol25 ) }.
% 21.28/21.64 (168) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 21.28/21.64 (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 21.28/21.64 coll( Z, X, T ) }.
% 21.28/21.64 (202) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 21.28/21.64 (212) {G3,W4,D2,L1,V0,M1} R(166,0) { coll( skol27, skol25, skol29 ) }.
% 21.28/21.64 (215) {G4,W4,D2,L1,V0,M1} R(212,1) { coll( skol25, skol27, skol29 ) }.
% 21.28/21.64 (230) {G5,W4,D2,L1,V0,M1} R(202,215) { coll( skol29, skol25, skol29 ) }.
% 21.28/21.64 (235) {G3,W12,D2,L3,V4,M3} R(202,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 21.28/21.64 coll( X, Z, T ) }.
% 21.28/21.64 (250) {G4,W8,D2,L2,V3,M2} F(235) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 21.28/21.64 (284) {G6,W4,D2,L1,V0,M1} R(230,0) { coll( skol29, skol29, skol25 ) }.
% 21.28/21.64 (286) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 21.28/21.64 ), ! perp( X, Y, U, W ) }.
% 21.28/21.64 (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 21.28/21.64 ), ! perp( U, W, Z, T ) }.
% 21.28/21.64 (295) {G2,W10,D2,L2,V4,M2} F(287) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 21.28/21.64 ) }.
% 21.28/21.64 (297) {G7,W8,D2,L2,V1,M2} R(284,2) { ! coll( skol29, skol29, X ), coll(
% 21.28/21.64 skol25, X, skol29 ) }.
% 21.28/21.64 (351) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 21.28/21.64 , T, Y ) }.
% 21.28/21.64 (360) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 21.28/21.64 , X, T ) }.
% 21.28/21.64 (362) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 21.28/21.64 , T, Z ) }.
% 21.28/21.64 (381) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 21.28/21.64 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 21.28/21.64 (386) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 21.28/21.64 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 21.28/21.64 (390) {G2,W10,D2,L2,V4,M2} F(381) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 21.28/21.64 , T ) }.
% 21.28/21.64 (429) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 21.28/21.64 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 21.28/21.64 (432) {G5,W8,D2,L2,V3,M2} R(250,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 21.28/21.64 (434) {G5,W8,D2,L2,V3,M2} R(250,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 21.28/21.64 (437) {G6,W8,D2,L2,V3,M2} R(432,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 21.28/21.64 (438) {G6,W8,D2,L2,V3,M2} R(432,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 21.28/21.64 (439) {G7,W8,D2,L2,V3,M2} R(437,432) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 21.28/21.64 }.
% 21.28/21.64 (451) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 21.28/21.64 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2, V4, V5, X
% 21.28/21.64 , Y, Z, T ) }.
% 21.28/21.64 (454) {G7,W8,D2,L2,V3,M2} R(438,438) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 21.28/21.64 }.
% 21.28/21.64 (457) {G8,W12,D2,L3,V4,M3} R(454,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 21.28/21.64 , coll( T, Y, X ) }.
% 21.28/21.64 (458) {G9,W8,D2,L2,V3,M2} F(457) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 21.28/21.64 (461) {G10,W8,D2,L2,V3,M2} R(458,439) { coll( X, X, Y ), ! coll( Z, Y, X )
% 21.28/21.64 }.
% 21.28/21.64 (754) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 21.28/21.64 Z, T, U, W, U, W ) }.
% 21.28/21.64 (756) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 21.28/21.64 X, Y, U, W, Z, T ) }.
% 21.28/21.64 (760) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 21.28/21.64 para( X, Y, W, U ) }.
% 21.28/21.64 (808) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 21.28/21.64 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 21.28/21.64 (924) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 21.28/21.64 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 21.28/21.64 (956) {G2,W15,D2,L3,V3,M3} F(924) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 21.28/21.64 , Z, Y ), cong( X, Y, X, Y ) }.
% 21.28/21.64 (1499) {G1,W9,D2,L2,V0,M2} R(53,119) { ! coll( skol30, skol29, skol25 ),
% 21.28/21.64 perp( skol29, skol22, skol22, skol25 ) }.
% 21.28/21.64 (4150) {G11,W8,D2,L2,V3,M2} R(97,461) { ! alpha1( X, Y, Z ), coll( X, X, Z
% 21.28/21.64 ) }.
% 21.28/21.64 (4666) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol29, skol30 ),
% 21.28/21.64 skol29, skol29, skol30 ) }.
% 21.28/21.64 (7064) {G2,W7,D3,L1,V0,M1} R(4666,7) { perp( skol29, skol30, skol12( skol29
% 21.28/21.64 , skol30 ), skol29 ) }.
% 21.28/21.64 (7075) {G3,W7,D3,L1,V0,M1} R(7064,6) { perp( skol29, skol30, skol29, skol12
% 21.28/21.64 ( skol29, skol30 ) ) }.
% 21.28/21.64 (7085) {G4,W7,D3,L1,V0,M1} R(7075,7) { perp( skol29, skol12( skol29, skol30
% 21.28/21.64 ), skol29, skol30 ) }.
% 21.28/21.64 (7123) {G5,W4,D2,L1,V0,M1} R(7085,96);r(7085) { alpha1( skol29, skol29,
% 21.28/21.64 skol30 ) }.
% 21.28/21.64 (7144) {G12,W4,D2,L1,V0,M1} R(7123,4150) { coll( skol29, skol29, skol30 )
% 21.28/21.64 }.
% 21.28/21.64 (17841) {G13,W4,D2,L1,V0,M1} R(297,7144) { coll( skol25, skol30, skol29 )
% 21.28/21.64 }.
% 21.28/21.64 (17892) {G14,W4,D2,L1,V0,M1} R(17841,168) { coll( skol30, skol29, skol25 )
% 21.28/21.64 }.
% 21.28/21.64 (20018) {G15,W5,D2,L1,V0,M1} S(1499);r(17892) { perp( skol29, skol22,
% 21.28/21.64 skol22, skol25 ) }.
% 21.28/21.64 (21825) {G16,W5,D2,L1,V0,M1} R(20018,295) { para( skol29, skol22, skol29,
% 21.28/21.64 skol22 ) }.
% 21.28/21.64 (22066) {G17,W4,D2,L1,V0,M1} R(21825,66) { coll( skol29, skol22, skol22 )
% 21.28/21.64 }.
% 21.28/21.64 (22084) {G18,W4,D2,L1,V0,M1} R(22066,434) { coll( skol29, skol29, skol22 )
% 21.28/21.64 }.
% 21.28/21.64 (44063) {G17,W9,D2,L1,V2,M1} R(756,21825) { eqangle( X, Y, skol29, skol22,
% 21.28/21.64 X, Y, skol29, skol22 ) }.
% 21.28/21.64 (46981) {G19,W5,D2,L1,V1,M1} R(808,22084);r(44063) { cyclic( X, skol22,
% 21.28/21.64 skol29, skol29 ) }.
% 21.28/21.64 (47358) {G20,W5,D2,L1,V1,M1} R(46981,362) { cyclic( skol22, X, skol29,
% 21.28/21.64 skol29 ) }.
% 21.28/21.64 (47370) {G21,W5,D2,L1,V1,M1} R(47358,390) { cyclic( skol29, X, skol29,
% 21.28/21.64 skol29 ) }.
% 21.28/21.64 (47392) {G22,W5,D2,L1,V1,M1} R(47370,360) { cyclic( skol29, skol29, X,
% 21.28/21.64 skol29 ) }.
% 21.28/21.64 (47393) {G22,W5,D2,L1,V1,M1} R(47370,351) { cyclic( skol29, skol29, skol29
% 21.28/21.64 , X ) }.
% 21.28/21.64 (47398) {G23,W5,D2,L1,V2,M1} R(47392,386);r(47393) { cyclic( skol29, skol29
% 21.28/21.64 , X, Y ) }.
% 21.28/21.64 (47437) {G24,W5,D2,L1,V3,M1} R(47398,386);r(47398) { cyclic( skol29, X, Y,
% 21.28/21.64 Z ) }.
% 21.28/21.64 (47456) {G25,W5,D2,L1,V4,M1} R(47437,386);r(47437) { cyclic( X, Y, Z, T )
% 21.28/21.64 }.
% 21.28/21.64 (54754) {G26,W5,D2,L1,V2,M1} S(956);r(47456);r(47456) { cong( X, Y, X, Y )
% 21.28/21.64 }.
% 21.28/21.64 (54771) {G27,W5,D2,L1,V3,M1} R(54754,56);r(54754) { perp( X, X, Z, Y ) }.
% 21.28/21.64 (54796) {G28,W5,D2,L1,V4,M1} R(54771,286);r(54771) { para( X, Y, Z, T ) }.
% 21.28/21.64 (54938) {G29,W9,D2,L1,V6,M1} S(760);r(54796) { eqangle( X, Y, Z, T, U, W, Z
% 21.28/21.64 , T ) }.
% 21.28/21.64 (54940) {G29,W9,D2,L1,V6,M1} S(754);r(54796) { eqangle( X, Y, Z, T, U, W, U
% 21.28/21.64 , W ) }.
% 21.28/21.64 (55132) {G30,W9,D2,L1,V6,M1} R(54938,429) { eqangle( X, Y, X, Y, Z, T, U, W
% 21.28/21.64 ) }.
% 21.28/21.64 (55134) {G31,W9,D2,L1,V8,M1} R(55132,451);r(54940) { eqangle( X, Y, Z, T, U
% 21.28/21.64 , W, V0, V1 ) }.
% 21.28/21.64 (55135) {G32,W0,D0,L0,V0,M0} R(55134,123) { }.
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 % SZS output end Refutation
% 21.28/21.64 found a proof!
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Unprocessed initial clauses:
% 21.28/21.64
% 21.28/21.64 (55137) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 21.28/21.64 (55138) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 21.28/21.64 (55139) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 21.28/21.64 ( Y, Z, X ) }.
% 21.28/21.64 (55140) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 21.28/21.64 }.
% 21.28/21.64 (55141) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 21.28/21.64 }.
% 21.28/21.64 (55142) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 21.28/21.64 , para( X, Y, Z, T ) }.
% 21.28/21.64 (55143) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 21.28/21.64 }.
% 21.28/21.64 (55144) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 21.28/21.64 }.
% 21.28/21.64 (55145) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 21.28/21.64 , para( X, Y, Z, T ) }.
% 21.28/21.64 (55146) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 21.28/21.64 , perp( X, Y, Z, T ) }.
% 21.28/21.64 (55147) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 21.28/21.64 (55148) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 21.28/21.64 , circle( T, X, Y, Z ) }.
% 21.28/21.64 (55149) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 21.28/21.64 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 (55150) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 21.28/21.64 ) }.
% 21.28/21.64 (55151) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 21.28/21.64 ) }.
% 21.28/21.64 (55152) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 21.28/21.64 ) }.
% 21.28/21.64 (55153) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 21.28/21.64 T ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 (55154) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 21.28/21.64 (55155) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 21.28/21.64 (55156) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 21.28/21.64 (55157) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 21.28/21.64 (55158) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 21.28/21.64 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ) }.
% 21.28/21.64 (55159) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 21.28/21.64 }.
% 21.28/21.64 (55160) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 21.28/21.64 }.
% 21.28/21.64 (55161) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 21.28/21.64 , cong( X, Y, Z, T ) }.
% 21.28/21.64 (55162) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 21.28/21.64 (55163) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 21.28/21.64 (55164) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 21.28/21.64 (55165) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 21.28/21.64 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 21.28/21.64 (55166) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 21.28/21.64 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ) }.
% 21.28/21.64 (55167) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 21.28/21.64 , Z, T, U, W ) }.
% 21.28/21.64 (55168) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 21.28/21.64 , Z, T, U, W ) }.
% 21.28/21.64 (55169) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 21.28/21.64 , Z, T, U, W ) }.
% 21.28/21.64 (55170) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 21.28/21.64 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 21.28/21.64 (55171) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 21.28/21.64 , Z, T, U, W ) }.
% 21.28/21.64 (55172) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 21.28/21.64 , Z, T, U, W ) }.
% 21.28/21.64 (55173) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 21.28/21.64 , Z, T, U, W ) }.
% 21.28/21.64 (55174) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 21.28/21.64 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 21.28/21.64 (55175) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 21.28/21.64 X, Y, Z, T ) }.
% 21.28/21.64 (55176) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 21.28/21.64 Z, T, U, W ) }.
% 21.28/21.64 (55177) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 21.28/21.64 , T, X, T, Y ) }.
% 21.28/21.64 (55178) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 21.28/21.64 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 (55179) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 21.28/21.64 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 (55180) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 21.28/21.64 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 21.28/21.64 , Y, Z, T ) }.
% 21.28/21.64 (55181) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 21.28/21.64 ( Z, T, X, Y ) }.
% 21.28/21.64 (55182) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 21.28/21.64 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 21.28/21.64 (55183) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 21.28/21.64 X, Y, Z, Y ) }.
% 21.28/21.64 (55184) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 21.28/21.64 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 21.28/21.64 (55185) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 21.28/21.64 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 21.28/21.64 (55186) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 21.28/21.64 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 21.28/21.64 (55187) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 21.28/21.64 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 21.28/21.64 (55188) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 21.28/21.64 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 21.28/21.64 (55189) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 21.28/21.64 cong( X, Z, Y, Z ) }.
% 21.28/21.64 (55190) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 21.28/21.64 perp( X, Y, Y, Z ) }.
% 21.28/21.64 (55191) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 21.28/21.64 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 21.28/21.64 (55192) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 21.28/21.64 cong( Z, X, Z, Y ) }.
% 21.28/21.64 (55193) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 21.28/21.64 , perp( X, Y, Z, T ) }.
% 21.28/21.64 (55194) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 21.28/21.64 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 21.28/21.64 (55195) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 21.28/21.64 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 21.28/21.64 , W ) }.
% 21.28/21.64 (55196) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 21.28/21.64 , X, Z, T, U, T, W ) }.
% 21.28/21.64 (55197) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 21.28/21.64 , Y, Z, T, U, U, W ) }.
% 21.28/21.64 (55198) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 21.28/21.64 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 21.28/21.64 (55199) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 21.28/21.64 , T ) }.
% 21.28/21.64 (55200) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 21.28/21.64 ( X, Z, Y, T ) }.
% 21.28/21.64 (55201) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 21.28/21.64 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 21.28/21.64 (55202) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 21.28/21.64 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 21.28/21.64 (55203) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 21.28/21.64 (55204) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 21.28/21.64 midp( X, Y, Z ) }.
% 21.28/21.64 (55205) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 21.28/21.64 (55206) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 21.28/21.64 (55207) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 21.28/21.64 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 21.28/21.64 (55208) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 21.28/21.64 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 21.28/21.64 (55209) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 21.28/21.64 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 21.28/21.64 (55210) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 21.28/21.64 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 21.28/21.64 (55211) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 21.28/21.64 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 21.28/21.64 (55212) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 21.28/21.64 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 21.28/21.64 (55213) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 21.28/21.64 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 21.28/21.64 (55214) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 21.28/21.64 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 21.28/21.64 (55215) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 21.28/21.64 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 21.28/21.64 (55216) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 21.28/21.64 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 21.28/21.64 (55217) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 21.28/21.64 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 21.28/21.64 (55218) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 21.28/21.64 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 21.28/21.64 (55219) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 21.28/21.64 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 21.28/21.64 (55220) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 21.28/21.64 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 21.28/21.64 (55221) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 21.28/21.64 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 21.28/21.64 (55222) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 21.28/21.64 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 21.28/21.64 , T ) ) }.
% 21.28/21.64 (55223) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 21.28/21.64 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 21.28/21.64 (55224) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 21.28/21.64 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 21.28/21.64 (55225) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 21.28/21.64 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 21.28/21.64 (55226) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 21.28/21.64 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 21.28/21.64 (55227) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 21.28/21.64 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 21.28/21.64 ) }.
% 21.28/21.64 (55228) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 21.28/21.64 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 21.28/21.64 }.
% 21.28/21.64 (55229) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 21.28/21.64 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 21.28/21.64 (55230) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 21.28/21.64 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 21.28/21.64 (55231) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 21.28/21.64 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 21.28/21.64 (55232) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 21.28/21.64 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 21.28/21.64 (55233) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 21.28/21.64 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 21.28/21.64 (55234) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 21.28/21.64 , alpha1( X, Y, Z ) }.
% 21.28/21.64 (55235) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 21.28/21.64 ), Z, X ) }.
% 21.28/21.64 (55236) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 21.28/21.64 , Z ), Z, X ) }.
% 21.28/21.64 (55237) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 21.28/21.64 alpha1( X, Y, Z ) }.
% 21.28/21.64 (55238) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 21.28/21.64 ), X, X, Y ) }.
% 21.28/21.64 (55239) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 21.28/21.64 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 21.28/21.64 ) ) }.
% 21.28/21.64 (55240) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 21.28/21.64 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 21.28/21.64 (55241) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 21.28/21.64 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 21.28/21.64 }.
% 21.28/21.64 (55242) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 21.28/21.64 (55243) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 21.28/21.64 }.
% 21.28/21.64 (55244) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 21.28/21.64 alpha2( X, Y, Z, T ) }.
% 21.28/21.64 (55245) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 21.28/21.64 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 21.28/21.64 (55246) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 21.28/21.64 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 21.28/21.64 (55247) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 21.28/21.64 coll( skol16( W, Y, Z ), Y, Z ) }.
% 21.28/21.64 (55248) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 21.28/21.64 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 21.28/21.64 (55249) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 21.28/21.64 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 21.28/21.64 (55250) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 21.28/21.64 , coll( X, Y, skol18( X, Y ) ) }.
% 21.28/21.64 (55251) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 21.28/21.64 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 21.28/21.64 (55252) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 21.28/21.64 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 21.28/21.64 }.
% 21.28/21.64 (55253) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 21.28/21.64 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 21.28/21.64 }.
% 21.28/21.64 (55254) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol20, skol22 ) }.
% 21.28/21.64 (55255) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol27, skol28 ) }.
% 21.28/21.64 (55256) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol25, skol27 ) }.
% 21.28/21.64 (55257) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol29, skol22, skol25 ) }.
% 21.28/21.64 (55258) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol25, skol23, skol31 ) }.
% 21.28/21.64 (55259) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol27 ) }.
% 21.28/21.64 (55260) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol29, skol23 ) }.
% 21.28/21.64 (55261) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol24, skol24, skol23,
% 21.28/21.64 skol20, skol22, skol22, skol23 ) }.
% 21.28/21.64
% 21.28/21.64
% 21.28/21.64 Total Proof:
% 21.28/21.64
% 21.28/21.64 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 parent0: (55137) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 parent0: (55138) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 21.28/21.64 Z ), coll( Y, Z, X ) }.
% 21.28/21.64 parent0: (55139) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 21.28/21.64 ), coll( Y, Z, X ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 21.28/21.64 , T, Z ) }.
% 21.28/21.64 parent0: (55140) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 21.28/21.64 T, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 21.28/21.64 , T, Z ) }.
% 21.28/21.64 parent0: (55143) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 21.28/21.64 T, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 21.28/21.64 , X, Y ) }.
% 21.28/21.64 parent0: (55144) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 21.28/21.64 X, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 21.28/21.64 W, Z, T ), para( X, Y, Z, T ) }.
% 21.28/21.64 parent0: (55145) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 21.28/21.64 , Z, T ), para( X, Y, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 21.28/21.64 X, Y, T, Z ) }.
% 21.28/21.64 parent0: (55150) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 21.28/21.64 , Y, T, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 21.28/21.64 X, Z, Y, T ) }.
% 21.28/21.64 parent0: (55151) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 21.28/21.64 , Z, Y, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 21.28/21.64 Y, X, Z, T ) }.
% 21.28/21.64 parent0: (55152) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 21.28/21.64 , X, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 21.28/21.64 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 parent0: (55153) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 21.28/21.64 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 21.28/21.64 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 21.28/21.64 parent0: (55154) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 V0 := V0
% 21.28/21.64 V1 := V1
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 21.28/21.64 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 21.28/21.64 parent0: (55155) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 V0 := V0
% 21.28/21.64 V1 := V1
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 21.28/21.64 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 21.28/21.64 parent0: (55156) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 V0 := V0
% 21.28/21.64 V1 := V1
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 21.28/21.64 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 21.28/21.64 parent0: (55157) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 V0 := V0
% 21.28/21.64 V1 := V1
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 21.28/21.64 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 21.28/21.64 , U, W, V0, V1 ) }.
% 21.28/21.64 parent0: (55158) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 21.28/21.64 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 21.28/21.64 , W, V0, V1 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 V0 := V0
% 21.28/21.64 V1 := V1
% 21.28/21.64 V2 := V2
% 21.28/21.64 V3 := V3
% 21.28/21.64 V4 := V4
% 21.28/21.64 V5 := V5
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 21.28/21.64 , Y, U, W, Z, T, U, W ) }.
% 21.28/21.64 parent0: (55176) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 21.28/21.64 Y, U, W, Z, T, U, W ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 21.28/21.64 ( Z, X, Z, Y, T, X, T, Y ) }.
% 21.28/21.64 parent0: (55177) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 21.28/21.64 , X, Z, Y, T, X, T, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 21.28/21.64 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 parent0: (55179) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 21.28/21.64 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 21.28/21.64 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 21.28/21.64 ), cong( X, Y, Z, T ) }.
% 21.28/21.64 parent0: (55180) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 21.28/21.64 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 21.28/21.64 , cong( X, Y, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 3 ==> 3
% 21.28/21.64 4 ==> 4
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 21.28/21.64 T, X, Z ), perp( X, Y, Y, Z ) }.
% 21.28/21.64 parent0: (55190) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 21.28/21.64 , X, Z ), perp( X, Y, Y, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 21.28/21.64 , T, Y, T ), perp( X, Y, Z, T ) }.
% 21.28/21.64 parent0: (55193) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 21.28/21.64 , Y, T ), perp( X, Y, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 21.28/21.64 , Z ) }.
% 21.28/21.64 parent0: (55203) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 21.28/21.64 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 21.28/21.64 , T, X, Z ), alpha1( X, Y, Z ) }.
% 21.28/21.64 parent0: (55234) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 21.28/21.64 , X, Z ), alpha1( X, Y, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 21.28/21.64 skol11( X, T, Z ), Z, X ) }.
% 21.28/21.64 parent0: (55235) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 21.28/21.64 ( X, T, Z ), Z, X ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 21.28/21.64 skol12( X, Y ), X, X, Y ) }.
% 21.28/21.64 parent0: (55238) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 21.28/21.64 skol12( X, Y ), X, X, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol29, skol25, skol27 )
% 21.28/21.64 }.
% 21.28/21.64 parent0: (55256) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol25, skol27 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol29, skol22,
% 21.28/21.64 skol25 ) }.
% 21.28/21.64 parent0: (55257) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol29, skol22,
% 21.28/21.64 skol25 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (123) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol24,
% 21.28/21.64 skol24, skol23, skol20, skol22, skol22, skol23 ) }.
% 21.28/21.64 parent0: (55261) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol24, skol24,
% 21.28/21.64 skol23, skol20, skol22, skol22, skol23 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55741) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol27, skol25 )
% 21.28/21.64 }.
% 21.28/21.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol29, skol25, skol27 )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := skol29
% 21.28/21.64 Y := skol25
% 21.28/21.64 Z := skol27
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (161) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol29, skol27,
% 21.28/21.64 skol25 ) }.
% 21.28/21.64 parent0: (55741) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol27, skol25 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55742) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol29, skol25 )
% 21.28/21.64 }.
% 21.28/21.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 parent1[0]: (161) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol29, skol27,
% 21.28/21.64 skol25 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := skol29
% 21.28/21.64 Y := skol27
% 21.28/21.64 Z := skol25
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (166) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol27, skol29,
% 21.28/21.64 skol25 ) }.
% 21.28/21.64 parent0: (55742) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol29, skol25 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55744) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 21.28/21.64 ) }.
% 21.28/21.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 21.28/21.64 , Z, X ) }.
% 21.28/21.64 parent0: (55744) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 1
% 21.28/21.64 1 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55748) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 21.28/21.64 X ), ! coll( Z, T, Y ) }.
% 21.28/21.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 21.28/21.64 ), coll( Y, Z, X ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := Z
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Y
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 21.28/21.64 ( X, Y, T ), coll( Z, X, T ) }.
% 21.28/21.64 parent0: (55748) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 21.28/21.64 , ! coll( Z, T, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Z
% 21.28/21.64 Y := T
% 21.28/21.64 Z := X
% 21.28/21.64 T := Y
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 2
% 21.28/21.64 1 ==> 0
% 21.28/21.64 2 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 factor: (55750) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 parent0[0, 1]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 21.28/21.64 coll( X, Y, T ), coll( Z, X, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (202) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z
% 21.28/21.64 , X, Z ) }.
% 21.28/21.64 parent0: (55750) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55751) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol29 )
% 21.28/21.64 }.
% 21.28/21.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 parent1[0]: (166) {G2,W4,D2,L1,V0,M1} R(1,161) { coll( skol27, skol29,
% 21.28/21.64 skol25 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := skol27
% 21.28/21.64 Y := skol29
% 21.28/21.64 Z := skol25
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (212) {G3,W4,D2,L1,V0,M1} R(166,0) { coll( skol27, skol25,
% 21.28/21.64 skol29 ) }.
% 21.28/21.64 parent0: (55751) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol29 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55752) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol29 )
% 21.28/21.64 }.
% 21.28/21.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 parent1[0]: (212) {G3,W4,D2,L1,V0,M1} R(166,0) { coll( skol27, skol25,
% 21.28/21.64 skol29 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := skol27
% 21.28/21.64 Y := skol25
% 21.28/21.64 Z := skol29
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (215) {G4,W4,D2,L1,V0,M1} R(212,1) { coll( skol25, skol27,
% 21.28/21.64 skol29 ) }.
% 21.28/21.64 parent0: (55752) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol29 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55753) {G3,W4,D2,L1,V0,M1} { coll( skol29, skol25, skol29 )
% 21.28/21.64 }.
% 21.28/21.64 parent0[0]: (202) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 21.28/21.64 X, Z ) }.
% 21.28/21.64 parent1[0]: (215) {G4,W4,D2,L1,V0,M1} R(212,1) { coll( skol25, skol27,
% 21.28/21.64 skol29 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := skol25
% 21.28/21.64 Y := skol27
% 21.28/21.64 Z := skol29
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (230) {G5,W4,D2,L1,V0,M1} R(202,215) { coll( skol29, skol25,
% 21.28/21.64 skol29 ) }.
% 21.28/21.64 parent0: (55753) {G3,W4,D2,L1,V0,M1} { coll( skol29, skol25, skol29 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55754) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 21.28/21.64 X ), ! coll( Z, T, Y ) }.
% 21.28/21.64 parent0[0]: (202) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 21.28/21.64 X, Z ) }.
% 21.28/21.64 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 21.28/21.64 ), coll( Y, Z, X ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := Z
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Y
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (235) {G3,W12,D2,L3,V4,M3} R(202,2) { coll( X, Y, X ), ! coll
% 21.28/21.64 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 21.28/21.64 parent0: (55754) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 21.28/21.64 , ! coll( Z, T, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := X
% 21.28/21.64 T := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 factor: (55756) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 parent0[1, 2]: (235) {G3,W12,D2,L3,V4,M3} R(202,2) { coll( X, Y, X ), !
% 21.28/21.64 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := Y
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (250) {G4,W8,D2,L2,V3,M2} F(235) { coll( X, Y, X ), ! coll( X
% 21.28/21.64 , Z, Y ) }.
% 21.28/21.64 parent0: (55756) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55757) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol25 )
% 21.28/21.64 }.
% 21.28/21.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 parent1[0]: (230) {G5,W4,D2,L1,V0,M1} R(202,215) { coll( skol29, skol25,
% 21.28/21.64 skol29 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := skol29
% 21.28/21.64 Y := skol25
% 21.28/21.64 Z := skol29
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (284) {G6,W4,D2,L1,V0,M1} R(230,0) { coll( skol29, skol29,
% 21.28/21.64 skol25 ) }.
% 21.28/21.64 parent0: (55757) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol25 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55758) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 21.28/21.64 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 21.28/21.64 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 21.28/21.64 , Z, T ), para( X, Y, Z, T ) }.
% 21.28/21.64 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 21.28/21.64 X, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := U
% 21.28/21.64 T := W
% 21.28/21.64 U := Z
% 21.28/21.64 W := T
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := Z
% 21.28/21.64 Y := T
% 21.28/21.64 Z := X
% 21.28/21.64 T := Y
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (286) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 21.28/21.64 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 21.28/21.64 parent0: (55758) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 21.28/21.64 U, W ), ! perp( Z, T, X, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := U
% 21.28/21.64 Y := W
% 21.28/21.64 Z := X
% 21.28/21.64 T := Y
% 21.28/21.64 U := Z
% 21.28/21.64 W := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55763) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 21.28/21.64 Y, U, W ), ! perp( U, W, Z, T ) }.
% 21.28/21.64 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 21.28/21.64 , Z, T ), para( X, Y, Z, T ) }.
% 21.28/21.64 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 21.28/21.64 X, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := U
% 21.28/21.64 T := W
% 21.28/21.64 U := Z
% 21.28/21.64 W := T
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := U
% 21.28/21.64 Y := W
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 21.28/21.64 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 21.28/21.64 parent0: (55763) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 21.28/21.64 U, W ), ! perp( U, W, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 factor: (55766) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 21.28/21.64 , Y ) }.
% 21.28/21.64 parent0[0, 2]: (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 21.28/21.64 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := X
% 21.28/21.64 W := Y
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (295) {G2,W10,D2,L2,V4,M2} F(287) { ! perp( X, Y, Z, T ), para
% 21.28/21.64 ( X, Y, X, Y ) }.
% 21.28/21.64 parent0: (55766) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 21.28/21.64 X, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55767) {G1,W8,D2,L2,V1,M2} { ! coll( skol29, skol29, X ),
% 21.28/21.64 coll( skol25, X, skol29 ) }.
% 21.28/21.64 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 21.28/21.64 ), coll( Y, Z, X ) }.
% 21.28/21.64 parent1[0]: (284) {G6,W4,D2,L1,V0,M1} R(230,0) { coll( skol29, skol29,
% 21.28/21.64 skol25 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := skol29
% 21.28/21.64 Y := skol25
% 21.28/21.64 Z := X
% 21.28/21.64 T := skol29
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (297) {G7,W8,D2,L2,V1,M2} R(284,2) { ! coll( skol29, skol29, X
% 21.28/21.64 ), coll( skol25, X, skol29 ) }.
% 21.28/21.64 parent0: (55767) {G1,W8,D2,L2,V1,M2} { ! coll( skol29, skol29, X ), coll(
% 21.28/21.64 skol25, X, skol29 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55770) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 21.28/21.64 ( X, Z, Y, T ) }.
% 21.28/21.64 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 21.28/21.64 , Y, T, Z ) }.
% 21.28/21.64 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 21.28/21.64 , Z, Y, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := Y
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (351) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 21.28/21.64 cyclic( X, Z, T, Y ) }.
% 21.28/21.64 parent0: (55770) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 21.28/21.64 , Z, Y, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := Y
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 1
% 21.28/21.64 1 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55771) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 21.28/21.64 ( X, Z, Y, T ) }.
% 21.28/21.64 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 21.28/21.64 , X, Z, T ) }.
% 21.28/21.64 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 21.28/21.64 , Z, Y, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := Y
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (360) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 21.28/21.64 cyclic( Y, Z, X, T ) }.
% 21.28/21.64 parent0: (55771) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 21.28/21.64 , Z, Y, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55772) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 21.28/21.64 ( X, Y, T, Z ) }.
% 21.28/21.64 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 21.28/21.64 , X, Z, T ) }.
% 21.28/21.64 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 21.28/21.64 , Y, T, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := T
% 21.28/21.64 T := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (362) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 21.28/21.64 cyclic( Y, X, T, Z ) }.
% 21.28/21.64 parent0: (55772) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 21.28/21.64 , Y, T, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55776) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 21.28/21.64 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 21.28/21.64 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 21.28/21.64 , X, Z, T ) }.
% 21.28/21.64 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 21.28/21.64 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (381) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 21.28/21.64 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 21.28/21.64 parent0: (55776) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 21.28/21.64 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := T
% 21.28/21.64 T := U
% 21.28/21.64 U := X
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 2
% 21.28/21.64 1 ==> 0
% 21.28/21.64 2 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55779) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 21.28/21.64 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 21.28/21.64 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 21.28/21.64 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 21.28/21.64 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 21.28/21.64 , Y, T, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := T
% 21.28/21.64 T := U
% 21.28/21.64 U := X
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := U
% 21.28/21.64 T := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (386) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 21.28/21.64 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 21.28/21.64 parent0: (55779) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 21.28/21.64 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 factor: (55781) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 21.28/21.64 Y, T, T ) }.
% 21.28/21.64 parent0[0, 1]: (381) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 21.28/21.64 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := T
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (390) {G2,W10,D2,L2,V4,M2} F(381) { ! cyclic( X, Y, Z, T ),
% 21.28/21.64 cyclic( Z, Y, T, T ) }.
% 21.28/21.64 parent0: (55781) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 21.28/21.64 , Y, T, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55783) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 21.28/21.64 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 21.28/21.64 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 21.28/21.64 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 V0 := V0
% 21.28/21.64 V1 := V1
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := U
% 21.28/21.64 T := W
% 21.28/21.64 U := Z
% 21.28/21.64 W := T
% 21.28/21.64 V0 := V0
% 21.28/21.64 V1 := V1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (429) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 21.28/21.64 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 21.28/21.64 parent0: (55783) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 21.28/21.64 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := U
% 21.28/21.64 T := W
% 21.28/21.64 U := Z
% 21.28/21.64 W := T
% 21.28/21.64 V0 := V0
% 21.28/21.64 V1 := V1
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 1
% 21.28/21.64 1 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55785) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 21.28/21.64 ) }.
% 21.28/21.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 parent1[0]: (250) {G4,W8,D2,L2,V3,M2} F(235) { coll( X, Y, X ), ! coll( X,
% 21.28/21.64 Z, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := X
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (432) {G5,W8,D2,L2,V3,M2} R(250,1) { ! coll( X, Y, Z ), coll(
% 21.28/21.64 Z, X, X ) }.
% 21.28/21.64 parent0: (55785) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := Y
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 1
% 21.28/21.64 1 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55787) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 21.28/21.64 ) }.
% 21.28/21.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 parent1[0]: (250) {G4,W8,D2,L2,V3,M2} F(235) { coll( X, Y, X ), ! coll( X,
% 21.28/21.64 Z, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := X
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (434) {G5,W8,D2,L2,V3,M2} R(250,0) { ! coll( X, Y, Z ), coll(
% 21.28/21.64 X, X, Z ) }.
% 21.28/21.64 parent0: (55787) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := Y
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 1
% 21.28/21.64 1 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55788) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 21.28/21.64 ) }.
% 21.28/21.64 parent0[0]: (432) {G5,W8,D2,L2,V3,M2} R(250,1) { ! coll( X, Y, Z ), coll( Z
% 21.28/21.64 , X, X ) }.
% 21.28/21.64 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (437) {G6,W8,D2,L2,V3,M2} R(432,1) { coll( X, Y, Y ), ! coll(
% 21.28/21.64 Z, Y, X ) }.
% 21.28/21.64 parent0: (55788) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := X
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55789) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 21.28/21.64 ) }.
% 21.28/21.64 parent0[0]: (432) {G5,W8,D2,L2,V3,M2} R(250,1) { ! coll( X, Y, Z ), coll( Z
% 21.28/21.64 , X, X ) }.
% 21.28/21.64 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := Y
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (438) {G6,W8,D2,L2,V3,M2} R(432,0) { coll( X, Y, Y ), ! coll(
% 21.28/21.64 Y, X, Z ) }.
% 21.28/21.64 parent0: (55789) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := X
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55791) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 21.28/21.64 ) }.
% 21.28/21.64 parent0[0]: (432) {G5,W8,D2,L2,V3,M2} R(250,1) { ! coll( X, Y, Z ), coll( Z
% 21.28/21.64 , X, X ) }.
% 21.28/21.64 parent1[0]: (437) {G6,W8,D2,L2,V3,M2} R(432,1) { coll( X, Y, Y ), ! coll( Z
% 21.28/21.64 , Y, X ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Y
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (439) {G7,W8,D2,L2,V3,M2} R(437,432) { ! coll( X, Y, Z ), coll
% 21.28/21.64 ( Y, Z, Z ) }.
% 21.28/21.64 parent0: (55791) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Z
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := X
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 1
% 21.28/21.64 1 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55792) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2,
% 21.28/21.64 V3, V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z,
% 21.28/21.64 T, U, W, V0, V1 ) }.
% 21.28/21.64 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 21.28/21.64 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 21.28/21.64 , U, W, V0, V1 ) }.
% 21.28/21.64 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := V2
% 21.28/21.64 W := V3
% 21.28/21.64 V0 := V4
% 21.28/21.64 V1 := V5
% 21.28/21.64 V2 := U
% 21.28/21.64 V3 := W
% 21.28/21.64 V4 := V0
% 21.28/21.64 V5 := V1
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Z
% 21.28/21.64 T := T
% 21.28/21.64 U := U
% 21.28/21.64 W := W
% 21.28/21.64 V0 := V0
% 21.28/21.64 V1 := V1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (451) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T,
% 21.28/21.64 U, W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3,
% 21.28/21.64 V2, V4, V5, X, Y, Z, T ) }.
% 21.28/21.64 parent0: (55792) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2, V3,
% 21.28/21.64 V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z, T, U
% 21.28/21.64 , W, V0, V1 ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := V2
% 21.28/21.64 Y := V3
% 21.28/21.64 Z := V4
% 21.28/21.64 T := V5
% 21.28/21.64 U := X
% 21.28/21.64 W := Y
% 21.28/21.64 V0 := Z
% 21.28/21.64 V1 := T
% 21.28/21.64 V2 := U
% 21.28/21.64 V3 := W
% 21.28/21.64 V4 := V0
% 21.28/21.64 V5 := V1
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 2 ==> 2
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55796) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 21.28/21.64 ) }.
% 21.28/21.64 parent0[1]: (438) {G6,W8,D2,L2,V3,M2} R(432,0) { coll( X, Y, Y ), ! coll( Y
% 21.28/21.64 , X, Z ) }.
% 21.28/21.64 parent1[0]: (438) {G6,W8,D2,L2,V3,M2} R(432,0) { coll( X, Y, Y ), ! coll( Y
% 21.28/21.64 , X, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := X
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (454) {G7,W8,D2,L2,V3,M2} R(438,438) { ! coll( X, Y, Z ), coll
% 21.28/21.64 ( X, Y, Y ) }.
% 21.28/21.64 parent0: (55796) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 1
% 21.28/21.64 1 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55800) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 21.28/21.64 X ), ! coll( X, Y, T ) }.
% 21.28/21.64 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 21.28/21.64 ), coll( Y, Z, X ) }.
% 21.28/21.64 parent1[1]: (454) {G7,W8,D2,L2,V3,M2} R(438,438) { ! coll( X, Y, Z ), coll
% 21.28/21.64 ( X, Y, Y ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Z
% 21.28/21.64 Z := Y
% 21.28/21.64 T := Y
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := T
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (457) {G8,W12,D2,L3,V4,M3} R(454,2) { ! coll( X, Y, Z ), !
% 21.28/21.64 coll( X, Y, T ), coll( T, Y, X ) }.
% 21.28/21.64 parent0: (55800) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 21.28/21.64 , ! coll( X, Y, T ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := T
% 21.28/21.64 T := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 1
% 21.28/21.64 1 ==> 2
% 21.28/21.64 2 ==> 0
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 factor: (55803) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 21.28/21.64 }.
% 21.28/21.64 parent0[0, 1]: (457) {G8,W12,D2,L3,V4,M3} R(454,2) { ! coll( X, Y, Z ), !
% 21.28/21.64 coll( X, Y, T ), coll( T, Y, X ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 T := Z
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (458) {G9,W8,D2,L2,V3,M2} F(457) { ! coll( X, Y, Z ), coll( Z
% 21.28/21.64 , Y, X ) }.
% 21.28/21.64 parent0: (55803) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55804) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 21.28/21.64 ) }.
% 21.28/21.64 parent0[0]: (458) {G9,W8,D2,L2,V3,M2} F(457) { ! coll( X, Y, Z ), coll( Z,
% 21.28/21.64 Y, X ) }.
% 21.28/21.64 parent1[1]: (439) {G7,W8,D2,L2,V3,M2} R(437,432) { ! coll( X, Y, Z ), coll
% 21.28/21.64 ( Y, Z, Z ) }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := X
% 21.28/21.64 Y := Y
% 21.28/21.64 Z := Y
% 21.28/21.64 end
% 21.28/21.64 substitution1:
% 21.28/21.64 X := Z
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Y
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 subsumption: (461) {G10,W8,D2,L2,V3,M2} R(458,439) { coll( X, X, Y ), !
% 21.28/21.64 coll( Z, Y, X ) }.
% 21.28/21.64 parent0: (55804) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 21.28/21.64 }.
% 21.28/21.64 substitution0:
% 21.28/21.64 X := Y
% 21.28/21.64 Y := X
% 21.28/21.64 Z := Z
% 21.28/21.64 end
% 21.28/21.64 permutation0:
% 21.28/21.64 0 ==> 0
% 21.28/21.64 1 ==> 1
% 21.28/21.64 end
% 21.28/21.64
% 21.28/21.64 resolution: (55805) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 21.28/21.64 ), ! para( X, Y, U, W ) }.
% 21.28/21.64 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.64 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 21.28/21.65 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 21.28/21.65 , Y, U, W, Z, T, U, W ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 V0 := Z
% 21.28/21.65 V1 := T
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := U
% 21.28/21.65 T := W
% 21.28/21.65 U := Z
% 21.28/21.65 W := T
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (754) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 21.28/21.65 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 21.28/21.65 parent0: (55805) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 21.28/21.65 , ! para( X, Y, U, W ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := U
% 21.28/21.65 T := W
% 21.28/21.65 U := Z
% 21.28/21.65 W := T
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 1
% 21.28/21.65 1 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55806) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 21.28/21.65 ), ! para( X, Y, U, W ) }.
% 21.28/21.65 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.65 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 21.28/21.65 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 21.28/21.65 , Y, U, W, Z, T, U, W ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 V0 := Z
% 21.28/21.65 V1 := T
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := U
% 21.28/21.65 T := W
% 21.28/21.65 U := Z
% 21.28/21.65 W := T
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (756) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 21.28/21.65 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 21.28/21.65 parent0: (55806) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 21.28/21.65 , ! para( X, Y, U, W ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := U
% 21.28/21.65 T := W
% 21.28/21.65 U := Z
% 21.28/21.65 W := T
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 1
% 21.28/21.65 1 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55807) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 21.28/21.65 ), ! para( X, Y, T, Z ) }.
% 21.28/21.65 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 21.28/21.65 , Y, U, W, Z, T, U, W ) }.
% 21.28/21.65 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 21.28/21.65 T, Z ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := T
% 21.28/21.65 T := Z
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (760) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 21.28/21.65 , Z, T ), ! para( X, Y, W, U ) }.
% 21.28/21.65 parent0: (55807) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 21.28/21.65 , ! para( X, Y, T, Z ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := U
% 21.28/21.65 T := W
% 21.28/21.65 U := Z
% 21.28/21.65 W := T
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 1 ==> 1
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55808) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 21.28/21.65 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 21.28/21.65 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 21.28/21.65 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 21.28/21.65 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.65 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := Y
% 21.28/21.65 Y := Z
% 21.28/21.65 Z := X
% 21.28/21.65 T := T
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := T
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := T
% 21.28/21.65 T := Z
% 21.28/21.65 U := X
% 21.28/21.65 W := Y
% 21.28/21.65 V0 := X
% 21.28/21.65 V1 := Z
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (808) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 21.28/21.65 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 21.28/21.65 parent0: (55808) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 21.28/21.65 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := T
% 21.28/21.65 Z := Z
% 21.28/21.65 T := Y
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 1 ==> 1
% 21.28/21.65 2 ==> 2
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55809) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 21.28/21.65 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 21.28/21.65 cyclic( X, Y, Z, T ) }.
% 21.28/21.65 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 21.28/21.65 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 21.28/21.65 ), cong( X, Y, Z, T ) }.
% 21.28/21.65 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 21.28/21.65 Z, X, Z, Y, T, X, T, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := X
% 21.28/21.65 T := Y
% 21.28/21.65 U := Z
% 21.28/21.65 W := T
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 factor: (55811) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 21.28/21.65 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 21.28/21.65 parent0[0, 2]: (55809) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 21.28/21.65 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 21.28/21.65 cyclic( X, Y, Z, T ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (924) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 21.28/21.65 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 21.28/21.65 parent0: (55811) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 21.28/21.65 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 1 ==> 1
% 21.28/21.65 2 ==> 3
% 21.28/21.65 3 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 factor: (55816) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 21.28/21.65 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 21.28/21.65 parent0[0, 2]: (924) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 21.28/21.65 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (956) {G2,W15,D2,L3,V3,M3} F(924) { ! cyclic( X, Y, Z, X ), !
% 21.28/21.65 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 21.28/21.65 parent0: (55816) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 21.28/21.65 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 1 ==> 1
% 21.28/21.65 2 ==> 2
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55818) {G1,W9,D2,L2,V0,M2} { ! coll( skol30, skol29, skol25 )
% 21.28/21.65 , perp( skol29, skol22, skol22, skol25 ) }.
% 21.28/21.65 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 21.28/21.65 , X, Z ), perp( X, Y, Y, Z ) }.
% 21.28/21.65 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol29, skol22,
% 21.28/21.65 skol25 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol22
% 21.28/21.65 Z := skol25
% 21.28/21.65 T := skol30
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (1499) {G1,W9,D2,L2,V0,M2} R(53,119) { ! coll( skol30, skol29
% 21.28/21.65 , skol25 ), perp( skol29, skol22, skol22, skol25 ) }.
% 21.28/21.65 parent0: (55818) {G1,W9,D2,L2,V0,M2} { ! coll( skol30, skol29, skol25 ),
% 21.28/21.65 perp( skol29, skol22, skol22, skol25 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 1 ==> 1
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55819) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T
% 21.28/21.65 , Y ) }.
% 21.28/21.65 parent0[1]: (461) {G10,W8,D2,L2,V3,M2} R(458,439) { coll( X, X, Y ), ! coll
% 21.28/21.65 ( Z, Y, X ) }.
% 21.28/21.65 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 21.28/21.65 ( X, T, Z ), Z, X ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := skol11( X, Z, Y )
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := T
% 21.28/21.65 Z := Y
% 21.28/21.65 T := Z
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (4150) {G11,W8,D2,L2,V3,M2} R(97,461) { ! alpha1( X, Y, Z ),
% 21.28/21.65 coll( X, X, Z ) }.
% 21.28/21.65 parent0: (55819) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T, Y
% 21.28/21.65 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Z
% 21.28/21.65 Z := T
% 21.28/21.65 T := Y
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 1
% 21.28/21.65 1 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55820) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol29, skol30 ),
% 21.28/21.65 skol29, skol29, skol30 ) }.
% 21.28/21.65 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 21.28/21.65 skol12( X, Y ), X, X, Y ) }.
% 21.28/21.65 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol29, skol22,
% 21.28/21.65 skol25 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol30
% 21.28/21.65 Z := skol22
% 21.28/21.65 T := skol25
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (4666) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol29,
% 21.28/21.65 skol30 ), skol29, skol29, skol30 ) }.
% 21.28/21.65 parent0: (55820) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol29, skol30 ),
% 21.28/21.65 skol29, skol29, skol30 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55821) {G1,W7,D3,L1,V0,M1} { perp( skol29, skol30, skol12(
% 21.28/21.65 skol29, skol30 ), skol29 ) }.
% 21.28/21.65 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 21.28/21.65 X, Y ) }.
% 21.28/21.65 parent1[0]: (4666) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol29,
% 21.28/21.65 skol30 ), skol29, skol29, skol30 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol12( skol29, skol30 )
% 21.28/21.65 Y := skol29
% 21.28/21.65 Z := skol29
% 21.28/21.65 T := skol30
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (7064) {G2,W7,D3,L1,V0,M1} R(4666,7) { perp( skol29, skol30,
% 21.28/21.65 skol12( skol29, skol30 ), skol29 ) }.
% 21.28/21.65 parent0: (55821) {G1,W7,D3,L1,V0,M1} { perp( skol29, skol30, skol12(
% 21.28/21.65 skol29, skol30 ), skol29 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55822) {G1,W7,D3,L1,V0,M1} { perp( skol29, skol30, skol29,
% 21.28/21.65 skol12( skol29, skol30 ) ) }.
% 21.28/21.65 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 21.28/21.65 T, Z ) }.
% 21.28/21.65 parent1[0]: (7064) {G2,W7,D3,L1,V0,M1} R(4666,7) { perp( skol29, skol30,
% 21.28/21.65 skol12( skol29, skol30 ), skol29 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol30
% 21.28/21.65 Z := skol12( skol29, skol30 )
% 21.28/21.65 T := skol29
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (7075) {G3,W7,D3,L1,V0,M1} R(7064,6) { perp( skol29, skol30,
% 21.28/21.65 skol29, skol12( skol29, skol30 ) ) }.
% 21.28/21.65 parent0: (55822) {G1,W7,D3,L1,V0,M1} { perp( skol29, skol30, skol29,
% 21.28/21.65 skol12( skol29, skol30 ) ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55823) {G1,W7,D3,L1,V0,M1} { perp( skol29, skol12( skol29,
% 21.28/21.65 skol30 ), skol29, skol30 ) }.
% 21.28/21.65 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 21.28/21.65 X, Y ) }.
% 21.28/21.65 parent1[0]: (7075) {G3,W7,D3,L1,V0,M1} R(7064,6) { perp( skol29, skol30,
% 21.28/21.65 skol29, skol12( skol29, skol30 ) ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol30
% 21.28/21.65 Z := skol29
% 21.28/21.65 T := skol12( skol29, skol30 )
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (7085) {G4,W7,D3,L1,V0,M1} R(7075,7) { perp( skol29, skol12(
% 21.28/21.65 skol29, skol30 ), skol29, skol30 ) }.
% 21.28/21.65 parent0: (55823) {G1,W7,D3,L1,V0,M1} { perp( skol29, skol12( skol29,
% 21.28/21.65 skol30 ), skol29, skol30 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55824) {G1,W11,D3,L2,V0,M2} { ! perp( skol29, skol12( skol29
% 21.28/21.65 , skol30 ), skol29, skol30 ), alpha1( skol29, skol29, skol30 ) }.
% 21.28/21.65 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 21.28/21.65 T, X, Z ), alpha1( X, Y, Z ) }.
% 21.28/21.65 parent1[0]: (7085) {G4,W7,D3,L1,V0,M1} R(7075,7) { perp( skol29, skol12(
% 21.28/21.65 skol29, skol30 ), skol29, skol30 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol29
% 21.28/21.65 Z := skol30
% 21.28/21.65 T := skol12( skol29, skol30 )
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55825) {G2,W4,D2,L1,V0,M1} { alpha1( skol29, skol29, skol30 )
% 21.28/21.65 }.
% 21.28/21.65 parent0[0]: (55824) {G1,W11,D3,L2,V0,M2} { ! perp( skol29, skol12( skol29
% 21.28/21.65 , skol30 ), skol29, skol30 ), alpha1( skol29, skol29, skol30 ) }.
% 21.28/21.65 parent1[0]: (7085) {G4,W7,D3,L1,V0,M1} R(7075,7) { perp( skol29, skol12(
% 21.28/21.65 skol29, skol30 ), skol29, skol30 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (7123) {G5,W4,D2,L1,V0,M1} R(7085,96);r(7085) { alpha1( skol29
% 21.28/21.65 , skol29, skol30 ) }.
% 21.28/21.65 parent0: (55825) {G2,W4,D2,L1,V0,M1} { alpha1( skol29, skol29, skol30 )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55826) {G6,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol30 )
% 21.28/21.65 }.
% 21.28/21.65 parent0[0]: (4150) {G11,W8,D2,L2,V3,M2} R(97,461) { ! alpha1( X, Y, Z ),
% 21.28/21.65 coll( X, X, Z ) }.
% 21.28/21.65 parent1[0]: (7123) {G5,W4,D2,L1,V0,M1} R(7085,96);r(7085) { alpha1( skol29
% 21.28/21.65 , skol29, skol30 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol29
% 21.28/21.65 Z := skol30
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (7144) {G12,W4,D2,L1,V0,M1} R(7123,4150) { coll( skol29,
% 21.28/21.65 skol29, skol30 ) }.
% 21.28/21.65 parent0: (55826) {G6,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol30 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55827) {G8,W4,D2,L1,V0,M1} { coll( skol25, skol30, skol29 )
% 21.28/21.65 }.
% 21.28/21.65 parent0[0]: (297) {G7,W8,D2,L2,V1,M2} R(284,2) { ! coll( skol29, skol29, X
% 21.28/21.65 ), coll( skol25, X, skol29 ) }.
% 21.28/21.65 parent1[0]: (7144) {G12,W4,D2,L1,V0,M1} R(7123,4150) { coll( skol29, skol29
% 21.28/21.65 , skol30 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol30
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (17841) {G13,W4,D2,L1,V0,M1} R(297,7144) { coll( skol25,
% 21.28/21.65 skol30, skol29 ) }.
% 21.28/21.65 parent0: (55827) {G8,W4,D2,L1,V0,M1} { coll( skol25, skol30, skol29 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55828) {G2,W4,D2,L1,V0,M1} { coll( skol30, skol29, skol25 )
% 21.28/21.65 }.
% 21.28/21.65 parent0[0]: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 21.28/21.65 Z, X ) }.
% 21.28/21.65 parent1[0]: (17841) {G13,W4,D2,L1,V0,M1} R(297,7144) { coll( skol25, skol30
% 21.28/21.65 , skol29 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol25
% 21.28/21.65 Y := skol30
% 21.28/21.65 Z := skol29
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (17892) {G14,W4,D2,L1,V0,M1} R(17841,168) { coll( skol30,
% 21.28/21.65 skol29, skol25 ) }.
% 21.28/21.65 parent0: (55828) {G2,W4,D2,L1,V0,M1} { coll( skol30, skol29, skol25 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55829) {G2,W5,D2,L1,V0,M1} { perp( skol29, skol22, skol22,
% 21.28/21.65 skol25 ) }.
% 21.28/21.65 parent0[0]: (1499) {G1,W9,D2,L2,V0,M2} R(53,119) { ! coll( skol30, skol29,
% 21.28/21.65 skol25 ), perp( skol29, skol22, skol22, skol25 ) }.
% 21.28/21.65 parent1[0]: (17892) {G14,W4,D2,L1,V0,M1} R(17841,168) { coll( skol30,
% 21.28/21.65 skol29, skol25 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (20018) {G15,W5,D2,L1,V0,M1} S(1499);r(17892) { perp( skol29,
% 21.28/21.65 skol22, skol22, skol25 ) }.
% 21.28/21.65 parent0: (55829) {G2,W5,D2,L1,V0,M1} { perp( skol29, skol22, skol22,
% 21.28/21.65 skol25 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55830) {G3,W5,D2,L1,V0,M1} { para( skol29, skol22, skol29,
% 21.28/21.65 skol22 ) }.
% 21.28/21.65 parent0[0]: (295) {G2,W10,D2,L2,V4,M2} F(287) { ! perp( X, Y, Z, T ), para
% 21.28/21.65 ( X, Y, X, Y ) }.
% 21.28/21.65 parent1[0]: (20018) {G15,W5,D2,L1,V0,M1} S(1499);r(17892) { perp( skol29,
% 21.28/21.65 skol22, skol22, skol25 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol22
% 21.28/21.65 Z := skol22
% 21.28/21.65 T := skol25
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (21825) {G16,W5,D2,L1,V0,M1} R(20018,295) { para( skol29,
% 21.28/21.65 skol22, skol29, skol22 ) }.
% 21.28/21.65 parent0: (55830) {G3,W5,D2,L1,V0,M1} { para( skol29, skol22, skol29,
% 21.28/21.65 skol22 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55831) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol22, skol22 )
% 21.28/21.65 }.
% 21.28/21.65 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 21.28/21.65 Z ) }.
% 21.28/21.65 parent1[0]: (21825) {G16,W5,D2,L1,V0,M1} R(20018,295) { para( skol29,
% 21.28/21.65 skol22, skol29, skol22 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol22
% 21.28/21.65 Z := skol22
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (22066) {G17,W4,D2,L1,V0,M1} R(21825,66) { coll( skol29,
% 21.28/21.65 skol22, skol22 ) }.
% 21.28/21.65 parent0: (55831) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol22, skol22 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55832) {G6,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol22 )
% 21.28/21.65 }.
% 21.28/21.65 parent0[0]: (434) {G5,W8,D2,L2,V3,M2} R(250,0) { ! coll( X, Y, Z ), coll( X
% 21.28/21.65 , X, Z ) }.
% 21.28/21.65 parent1[0]: (22066) {G17,W4,D2,L1,V0,M1} R(21825,66) { coll( skol29, skol22
% 21.28/21.65 , skol22 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol22
% 21.28/21.65 Z := skol22
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (22084) {G18,W4,D2,L1,V0,M1} R(22066,434) { coll( skol29,
% 21.28/21.65 skol29, skol22 ) }.
% 21.28/21.65 parent0: (55832) {G6,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol22 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55833) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol29, skol22, X
% 21.28/21.65 , Y, skol29, skol22 ) }.
% 21.28/21.65 parent0[0]: (756) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 21.28/21.65 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 21.28/21.65 parent1[0]: (21825) {G16,W5,D2,L1,V0,M1} R(20018,295) { para( skol29,
% 21.28/21.65 skol22, skol29, skol22 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol22
% 21.28/21.65 Z := skol29
% 21.28/21.65 T := skol22
% 21.28/21.65 U := X
% 21.28/21.65 W := Y
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (44063) {G17,W9,D2,L1,V2,M1} R(756,21825) { eqangle( X, Y,
% 21.28/21.65 skol29, skol22, X, Y, skol29, skol22 ) }.
% 21.28/21.65 parent0: (55833) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol29, skol22, X, Y
% 21.28/21.65 , skol29, skol22 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55834) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol22, skol29,
% 21.28/21.65 skol29 ), ! eqangle( skol29, X, skol29, skol22, skol29, X, skol29, skol22
% 21.28/21.65 ) }.
% 21.28/21.65 parent0[0]: (808) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 21.28/21.65 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 21.28/21.65 parent1[0]: (22084) {G18,W4,D2,L1,V0,M1} R(22066,434) { coll( skol29,
% 21.28/21.65 skol29, skol22 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol29
% 21.28/21.65 Z := skol22
% 21.28/21.65 T := X
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55835) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol22, skol29,
% 21.28/21.65 skol29 ) }.
% 21.28/21.65 parent0[1]: (55834) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol22, skol29,
% 21.28/21.65 skol29 ), ! eqangle( skol29, X, skol29, skol22, skol29, X, skol29, skol22
% 21.28/21.65 ) }.
% 21.28/21.65 parent1[0]: (44063) {G17,W9,D2,L1,V2,M1} R(756,21825) { eqangle( X, Y,
% 21.28/21.65 skol29, skol22, X, Y, skol29, skol22 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (46981) {G19,W5,D2,L1,V1,M1} R(808,22084);r(44063) { cyclic( X
% 21.28/21.65 , skol22, skol29, skol29 ) }.
% 21.28/21.65 parent0: (55835) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol22, skol29, skol29 )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55836) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol29,
% 21.28/21.65 skol29 ) }.
% 21.28/21.65 parent0[1]: (362) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 21.28/21.65 cyclic( Y, X, T, Z ) }.
% 21.28/21.65 parent1[0]: (46981) {G19,W5,D2,L1,V1,M1} R(808,22084);r(44063) { cyclic( X
% 21.28/21.65 , skol22, skol29, skol29 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol22
% 21.28/21.65 Y := X
% 21.28/21.65 Z := skol29
% 21.28/21.65 T := skol29
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (47358) {G20,W5,D2,L1,V1,M1} R(46981,362) { cyclic( skol22, X
% 21.28/21.65 , skol29, skol29 ) }.
% 21.28/21.65 parent0: (55836) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol29, skol29 )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55837) {G3,W5,D2,L1,V1,M1} { cyclic( skol29, X, skol29,
% 21.28/21.65 skol29 ) }.
% 21.28/21.65 parent0[0]: (390) {G2,W10,D2,L2,V4,M2} F(381) { ! cyclic( X, Y, Z, T ),
% 21.28/21.65 cyclic( Z, Y, T, T ) }.
% 21.28/21.65 parent1[0]: (47358) {G20,W5,D2,L1,V1,M1} R(46981,362) { cyclic( skol22, X,
% 21.28/21.65 skol29, skol29 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol22
% 21.28/21.65 Y := X
% 21.28/21.65 Z := skol29
% 21.28/21.65 T := skol29
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (47370) {G21,W5,D2,L1,V1,M1} R(47358,390) { cyclic( skol29, X
% 21.28/21.65 , skol29, skol29 ) }.
% 21.28/21.65 parent0: (55837) {G3,W5,D2,L1,V1,M1} { cyclic( skol29, X, skol29, skol29 )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55838) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, skol29, X,
% 21.28/21.65 skol29 ) }.
% 21.28/21.65 parent0[1]: (360) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 21.28/21.65 cyclic( Y, Z, X, T ) }.
% 21.28/21.65 parent1[0]: (47370) {G21,W5,D2,L1,V1,M1} R(47358,390) { cyclic( skol29, X,
% 21.28/21.65 skol29, skol29 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol29
% 21.28/21.65 Z := X
% 21.28/21.65 T := skol29
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (47392) {G22,W5,D2,L1,V1,M1} R(47370,360) { cyclic( skol29,
% 21.28/21.65 skol29, X, skol29 ) }.
% 21.28/21.65 parent0: (55838) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, skol29, X, skol29 )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55839) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, skol29, skol29,
% 21.28/21.65 X ) }.
% 21.28/21.65 parent0[0]: (351) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 21.28/21.65 cyclic( X, Z, T, Y ) }.
% 21.28/21.65 parent1[0]: (47370) {G21,W5,D2,L1,V1,M1} R(47358,390) { cyclic( skol29, X,
% 21.28/21.65 skol29, skol29 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := X
% 21.28/21.65 Z := skol29
% 21.28/21.65 T := skol29
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (47393) {G22,W5,D2,L1,V1,M1} R(47370,351) { cyclic( skol29,
% 21.28/21.65 skol29, skol29, X ) }.
% 21.28/21.65 parent0: (55839) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, skol29, skol29, X )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55841) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol29, skol29,
% 21.28/21.65 skol29, X ), cyclic( skol29, skol29, X, Y ) }.
% 21.28/21.65 parent0[2]: (386) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 21.28/21.65 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 21.28/21.65 parent1[0]: (47392) {G22,W5,D2,L1,V1,M1} R(47370,360) { cyclic( skol29,
% 21.28/21.65 skol29, X, skol29 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol29
% 21.28/21.65 Z := skol29
% 21.28/21.65 T := X
% 21.28/21.65 U := Y
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := Y
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55842) {G3,W5,D2,L1,V2,M1} { cyclic( skol29, skol29, X, Y )
% 21.28/21.65 }.
% 21.28/21.65 parent0[0]: (55841) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol29, skol29,
% 21.28/21.65 skol29, X ), cyclic( skol29, skol29, X, Y ) }.
% 21.28/21.65 parent1[0]: (47393) {G22,W5,D2,L1,V1,M1} R(47370,351) { cyclic( skol29,
% 21.28/21.65 skol29, skol29, X ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (47398) {G23,W5,D2,L1,V2,M1} R(47392,386);r(47393) { cyclic(
% 21.28/21.65 skol29, skol29, X, Y ) }.
% 21.28/21.65 parent0: (55842) {G3,W5,D2,L1,V2,M1} { cyclic( skol29, skol29, X, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55843) {G2,W10,D2,L2,V3,M2} { cyclic( skol29, X, Y, Z ), !
% 21.28/21.65 cyclic( skol29, skol29, Z, X ) }.
% 21.28/21.65 parent0[0]: (386) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 21.28/21.65 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 21.28/21.65 parent1[0]: (47398) {G23,W5,D2,L1,V2,M1} R(47392,386);r(47393) { cyclic(
% 21.28/21.65 skol29, skol29, X, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := skol29
% 21.28/21.65 Z := X
% 21.28/21.65 T := Y
% 21.28/21.65 U := Z
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55845) {G3,W5,D2,L1,V3,M1} { cyclic( skol29, X, Y, Z ) }.
% 21.28/21.65 parent0[1]: (55843) {G2,W10,D2,L2,V3,M2} { cyclic( skol29, X, Y, Z ), !
% 21.28/21.65 cyclic( skol29, skol29, Z, X ) }.
% 21.28/21.65 parent1[0]: (47398) {G23,W5,D2,L1,V2,M1} R(47392,386);r(47393) { cyclic(
% 21.28/21.65 skol29, skol29, X, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := Z
% 21.28/21.65 Y := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (47437) {G24,W5,D2,L1,V3,M1} R(47398,386);r(47398) { cyclic(
% 21.28/21.65 skol29, X, Y, Z ) }.
% 21.28/21.65 parent0: (55845) {G3,W5,D2,L1,V3,M1} { cyclic( skol29, X, Y, Z ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55846) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 21.28/21.65 ( skol29, X, T, Y ) }.
% 21.28/21.65 parent0[0]: (386) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 21.28/21.65 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 21.28/21.65 parent1[0]: (47437) {G24,W5,D2,L1,V3,M1} R(47398,386);r(47398) { cyclic(
% 21.28/21.65 skol29, X, Y, Z ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := skol29
% 21.28/21.65 Y := X
% 21.28/21.65 Z := Y
% 21.28/21.65 T := Z
% 21.28/21.65 U := T
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55848) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 21.28/21.65 parent0[1]: (55846) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 21.28/21.65 ( skol29, X, T, Y ) }.
% 21.28/21.65 parent1[0]: (47437) {G24,W5,D2,L1,V3,M1} R(47398,386);r(47398) { cyclic(
% 21.28/21.65 skol29, X, Y, Z ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := T
% 21.28/21.65 Z := Y
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (47456) {G25,W5,D2,L1,V4,M1} R(47437,386);r(47437) { cyclic( X
% 21.28/21.65 , Y, Z, T ) }.
% 21.28/21.65 parent0: (55848) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55851) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 21.28/21.65 , Y, X, Y ) }.
% 21.28/21.65 parent0[0]: (956) {G2,W15,D2,L3,V3,M3} F(924) { ! cyclic( X, Y, Z, X ), !
% 21.28/21.65 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 21.28/21.65 parent1[0]: (47456) {G25,W5,D2,L1,V4,M1} R(47437,386);r(47437) { cyclic( X
% 21.28/21.65 , Y, Z, T ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55853) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 21.28/21.65 parent0[0]: (55851) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 21.28/21.65 , Y, X, Y ) }.
% 21.28/21.65 parent1[0]: (47456) {G25,W5,D2,L1,V4,M1} R(47437,386);r(47437) { cyclic( X
% 21.28/21.65 , Y, Z, T ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := Y
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (54754) {G26,W5,D2,L1,V2,M1} S(956);r(47456);r(47456) { cong(
% 21.28/21.65 X, Y, X, Y ) }.
% 21.28/21.65 parent0: (55853) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55854) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 21.28/21.65 X, Y, Z ) }.
% 21.28/21.65 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 21.28/21.65 T, Y, T ), perp( X, Y, Z, T ) }.
% 21.28/21.65 parent1[0]: (54754) {G26,W5,D2,L1,V2,M1} S(956);r(47456);r(47456) { cong( X
% 21.28/21.65 , Y, X, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := X
% 21.28/21.65 Z := Y
% 21.28/21.65 T := Z
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55856) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 21.28/21.65 parent0[0]: (55854) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 21.28/21.65 X, Y, Z ) }.
% 21.28/21.65 parent1[0]: (54754) {G26,W5,D2,L1,V2,M1} S(956);r(47456);r(47456) { cong( X
% 21.28/21.65 , Y, X, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Z
% 21.28/21.65 Z := Y
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (54771) {G27,W5,D2,L1,V3,M1} R(54754,56);r(54754) { perp( X, X
% 21.28/21.65 , Z, Y ) }.
% 21.28/21.65 parent0: (55856) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55857) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 21.28/21.65 X, T, U ) }.
% 21.28/21.65 parent0[0]: (286) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 21.28/21.65 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 21.28/21.65 parent1[0]: (54771) {G27,W5,D2,L1,V3,M1} R(54754,56);r(54754) { perp( X, X
% 21.28/21.65 , Z, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := X
% 21.28/21.65 Z := Y
% 21.28/21.65 T := Z
% 21.28/21.65 U := T
% 21.28/21.65 W := U
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Z
% 21.28/21.65 Z := Y
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55859) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 21.28/21.65 parent0[1]: (55857) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 21.28/21.65 X, T, U ) }.
% 21.28/21.65 parent1[0]: (54771) {G27,W5,D2,L1,V3,M1} R(54754,56);r(54754) { perp( X, X
% 21.28/21.65 , Z, Y ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := U
% 21.28/21.65 Y := Z
% 21.28/21.65 Z := T
% 21.28/21.65 T := X
% 21.28/21.65 U := Y
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := U
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := X
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (54796) {G28,W5,D2,L1,V4,M1} R(54771,286);r(54771) { para( X,
% 21.28/21.65 Y, Z, T ) }.
% 21.28/21.65 parent0: (55859) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55860) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 21.28/21.65 ) }.
% 21.28/21.65 parent0[1]: (760) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 21.28/21.65 , Z, T ), ! para( X, Y, W, U ) }.
% 21.28/21.65 parent1[0]: (54796) {G28,W5,D2,L1,V4,M1} R(54771,286);r(54771) { para( X, Y
% 21.28/21.65 , Z, T ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := W
% 21.28/21.65 T := U
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (54938) {G29,W9,D2,L1,V6,M1} S(760);r(54796) { eqangle( X, Y,
% 21.28/21.65 Z, T, U, W, Z, T ) }.
% 21.28/21.65 parent0: (55860) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55861) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 21.28/21.65 ) }.
% 21.28/21.65 parent0[0]: (754) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 21.28/21.65 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 21.28/21.65 parent1[0]: (54796) {G28,W5,D2,L1,V4,M1} R(54771,286);r(54771) { para( X, Y
% 21.28/21.65 , Z, T ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (54940) {G29,W9,D2,L1,V6,M1} S(754);r(54796) { eqangle( X, Y,
% 21.28/21.65 Z, T, U, W, U, W ) }.
% 21.28/21.65 parent0: (55861) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55862) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 21.28/21.65 ) }.
% 21.28/21.65 parent0[0]: (429) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 21.28/21.65 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 21.28/21.65 parent1[0]: (54938) {G29,W9,D2,L1,V6,M1} S(760);r(54796) { eqangle( X, Y, Z
% 21.28/21.65 , T, U, W, Z, T ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 V0 := Z
% 21.28/21.65 V1 := T
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (55132) {G30,W9,D2,L1,V6,M1} R(54938,429) { eqangle( X, Y, X,
% 21.28/21.65 Y, Z, T, U, W ) }.
% 21.28/21.65 parent0: (55862) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := Z
% 21.28/21.65 Y := T
% 21.28/21.65 Z := X
% 21.28/21.65 T := Y
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55863) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 21.28/21.65 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 21.28/21.65 parent0[0]: (451) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U
% 21.28/21.65 , W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2
% 21.28/21.65 , V4, V5, X, Y, Z, T ) }.
% 21.28/21.65 parent1[0]: (55132) {G30,W9,D2,L1,V6,M1} R(54938,429) { eqangle( X, Y, X, Y
% 21.28/21.65 , Z, T, U, W ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := X
% 21.28/21.65 T := Y
% 21.28/21.65 U := Z
% 21.28/21.65 W := T
% 21.28/21.65 V0 := U
% 21.28/21.65 V1 := W
% 21.28/21.65 V2 := V0
% 21.28/21.65 V3 := V1
% 21.28/21.65 V4 := V2
% 21.28/21.65 V5 := V3
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55865) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 21.28/21.65 V1 ) }.
% 21.28/21.65 parent0[1]: (55863) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 21.28/21.65 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 21.28/21.65 parent1[0]: (54940) {G29,W9,D2,L1,V6,M1} S(754);r(54796) { eqangle( X, Y, Z
% 21.28/21.65 , T, U, W, U, W ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := V2
% 21.28/21.65 Y := V3
% 21.28/21.65 Z := U
% 21.28/21.65 T := W
% 21.28/21.65 U := V0
% 21.28/21.65 W := V1
% 21.28/21.65 V0 := X
% 21.28/21.65 V1 := Y
% 21.28/21.65 V2 := Z
% 21.28/21.65 V3 := T
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := Y
% 21.28/21.65 Y := X
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := V2
% 21.28/21.65 W := V3
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (55134) {G31,W9,D2,L1,V8,M1} R(55132,451);r(54940) { eqangle(
% 21.28/21.65 X, Y, Z, T, U, W, V0, V1 ) }.
% 21.28/21.65 parent0: (55865) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 21.28/21.65 }.
% 21.28/21.65 substitution0:
% 21.28/21.65 X := X
% 21.28/21.65 Y := Y
% 21.28/21.65 Z := Z
% 21.28/21.65 T := T
% 21.28/21.65 U := U
% 21.28/21.65 W := W
% 21.28/21.65 V0 := V0
% 21.28/21.65 V1 := V1
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 0 ==> 0
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 resolution: (55866) {G1,W0,D0,L0,V0,M0} { }.
% 21.28/21.65 parent0[0]: (123) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol24, skol24
% 21.28/21.65 , skol23, skol20, skol22, skol22, skol23 ) }.
% 21.28/21.65 parent1[0]: (55134) {G31,W9,D2,L1,V8,M1} R(55132,451);r(54940) { eqangle( X
% 21.28/21.65 , Y, Z, T, U, W, V0, V1 ) }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 substitution1:
% 21.28/21.65 X := skol20
% 21.28/21.65 Y := skol24
% 21.28/21.65 Z := skol24
% 21.28/21.65 T := skol23
% 21.28/21.65 U := skol20
% 21.28/21.65 W := skol22
% 21.28/21.65 V0 := skol22
% 21.28/21.65 V1 := skol23
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 subsumption: (55135) {G32,W0,D0,L0,V0,M0} R(55134,123) { }.
% 21.28/21.65 parent0: (55866) {G1,W0,D0,L0,V0,M0} { }.
% 21.28/21.65 substitution0:
% 21.28/21.65 end
% 21.28/21.65 permutation0:
% 21.28/21.65 end
% 21.28/21.65
% 21.28/21.65 Proof check complete!
% 21.28/21.65
% 21.28/21.65 Memory use:
% 21.28/21.65
% 21.28/21.65 space for terms: 752874
% 21.28/21.65 space for clauses: 2370991
% 21.28/21.65
% 21.28/21.65
% 21.28/21.65 clauses generated: 428867
% 21.28/21.65 clauses kept: 55136
% 21.28/21.65 clauses selected: 3063
% 21.28/21.65 clauses deleted: 16716
% 21.28/21.65 clauses inuse deleted: 2516
% 21.28/21.65
% 21.28/21.65 subsentry: 23291936
% 21.28/21.65 literals s-matched: 15367294
% 21.28/21.65 literals matched: 9040523
% 21.28/21.65 full subsumption: 2521867
% 21.28/21.65
% 21.28/21.65 checksum: -39867602
% 21.28/21.65
% 21.28/21.65
% 21.28/21.65 Bliksem ended
%------------------------------------------------------------------------------