TSTP Solution File: GEO578+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO578+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 02:54:51 EDT 2022
% Result : Theorem 43.17s 43.56s
% Output : Refutation 43.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO578+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 16:56:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.15 *** allocated 10000 integers for termspace/termends
% 0.44/1.15 *** allocated 10000 integers for clauses
% 0.44/1.15 *** allocated 10000 integers for justifications
% 0.44/1.15 Bliksem 1.12
% 0.44/1.15
% 0.44/1.15
% 0.44/1.15 Automatic Strategy Selection
% 0.44/1.15
% 0.44/1.15 *** allocated 15000 integers for termspace/termends
% 0.44/1.15
% 0.44/1.15 Clauses:
% 0.44/1.15
% 0.44/1.15 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.44/1.15 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.44/1.15 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.44/1.15 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.44/1.15 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.44/1.15 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.44/1.15 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.44/1.15 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.44/1.15 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.44/1.15 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.44/1.15 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.44/1.15 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.44/1.15 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.44/1.15 ( X, Y, Z, T ) }.
% 0.44/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.44/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.44/1.15 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.44/1.15 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.44/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.44/1.15 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.44/1.15 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.44/1.15 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.44/1.15 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.44/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.44/1.15 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.44/1.15 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.15 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.15 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.15 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.44/1.15 ( X, Y, Z, T, U, W ) }.
% 0.44/1.15 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.44/1.15 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.44/1.15 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.44/1.15 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.44/1.15 ( X, Y, Z, T, U, W ) }.
% 0.44/1.15 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.44/1.15 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.44/1.15 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.44/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.44/1.15 T ) }.
% 0.44/1.15 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.44/1.15 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.44/1.15 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.44/1.15 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.44/1.15 ) }.
% 0.44/1.15 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.44/1.15 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.44/1.15 }.
% 0.44/1.15 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.44/1.15 Z, Y ) }.
% 0.44/1.15 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.44/1.15 X, Z ) }.
% 0.44/1.15 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.44/1.15 U ) }.
% 0.44/1.15 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.44/1.15 , Z ), midp( Z, X, Y ) }.
% 0.44/1.15 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.44/1.15 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.44/1.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.44/1.15 Z, Y ) }.
% 0.44/1.15 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.44/1.15 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.44/1.15 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.44/1.15 ( Y, X, X, Z ) }.
% 0.44/1.15 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.44/1.15 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.15 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.44/1.15 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.44/1.15 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.44/1.15 , W ) }.
% 0.44/1.15 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.44/1.15 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.44/1.15 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.44/1.15 , Y ) }.
% 0.44/1.15 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.44/1.15 , X, Z, U, Y, Y, T ) }.
% 0.44/1.15 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.44/1.15 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.44/1.15 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.44/1.15 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.44/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.44/1.15 .
% 0.44/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.44/1.15 ) }.
% 0.44/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.44/1.15 , Z, T ) }.
% 0.44/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.44/1.15 , Z, T ) }.
% 0.44/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.44/1.15 , Z, T ) }.
% 0.44/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.44/1.15 , W, Z, T ), Z, T ) }.
% 0.44/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.44/1.15 , Y, Z, T ), X, Y ) }.
% 0.44/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.44/1.15 , W, Z, T ), Z, T ) }.
% 0.44/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.44/1.15 skol2( X, Y, Z, T ) ) }.
% 0.44/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.44/1.15 , W, Z, T ), Z, T ) }.
% 0.44/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.44/1.15 skol3( X, Y, Z, T ) ) }.
% 0.44/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.44/1.15 , T ) }.
% 0.44/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.44/1.15 ) ) }.
% 0.44/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.44/1.15 skol5( W, Y, Z, T ) ) }.
% 0.44/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.44/1.15 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.44/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.44/1.15 , X, T ) }.
% 0.44/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.44/1.15 W, X, Z ) }.
% 0.44/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.44/1.15 , Y, T ) }.
% 0.44/1.15 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.44/1.15 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.44/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.44/1.15 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.44/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.44/1.15 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.44/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.44/1.15 Z, T ) ) }.
% 0.44/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.44/1.15 , T ) ) }.
% 0.44/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.44/1.15 , X, Y ) }.
% 0.44/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.44/1.15 ) }.
% 0.44/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.44/1.15 , Y ) }.
% 0.44/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.44/1.15 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.44/1.15 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.44/1.15 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.44/1.15 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 9.64/10.01 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 9.64/10.01 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 9.64/10.01 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 9.64/10.01 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 9.64/10.01 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 9.64/10.01 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 9.64/10.01 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 9.64/10.01 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 9.64/10.01 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 9.64/10.01 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 9.64/10.01 skol14( X, Y, Z ), X, Y, Z ) }.
% 9.64/10.01 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 9.64/10.01 X, Y, Z ) }.
% 9.64/10.01 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 9.64/10.01 }.
% 9.64/10.01 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 9.64/10.01 ) }.
% 9.64/10.01 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 9.64/10.01 skol17( X, Y ), X, Y ) }.
% 9.64/10.01 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 9.64/10.01 }.
% 9.64/10.01 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 9.64/10.01 ) }.
% 9.64/10.01 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 9.64/10.01 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 9.64/10.01 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 9.64/10.01 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 9.64/10.01 { eqangle( skol22, skol20, skol20, skol24, skol22, skol20, skol20, skol25 )
% 9.64/10.01 }.
% 9.64/10.01 { eqangle( skol22, skol24, skol24, skol25, skol22, skol24, skol24, skol20 )
% 9.64/10.01 }.
% 9.64/10.01 { eqangle( skol22, skol25, skol25, skol20, skol22, skol25, skol25, skol24 )
% 9.64/10.01 }.
% 9.64/10.01 { para( skol20, skol24, skol23, skol22 ) }.
% 9.64/10.01 { coll( skol23, skol20, skol25 ) }.
% 9.64/10.01 { ! cong( skol23, skol22, skol23, skol20 ) }.
% 9.64/10.01
% 9.64/10.01 percentage equality = 0.008824, percentage horn = 0.926230
% 9.64/10.01 This is a problem with some equality
% 9.64/10.01
% 9.64/10.01
% 9.64/10.01
% 9.64/10.01 Options Used:
% 9.64/10.01
% 9.64/10.01 useres = 1
% 9.64/10.01 useparamod = 1
% 9.64/10.01 useeqrefl = 1
% 9.64/10.01 useeqfact = 1
% 9.64/10.01 usefactor = 1
% 9.64/10.01 usesimpsplitting = 0
% 9.64/10.01 usesimpdemod = 5
% 9.64/10.01 usesimpres = 3
% 9.64/10.01
% 9.64/10.01 resimpinuse = 1000
% 9.64/10.01 resimpclauses = 20000
% 9.64/10.01 substype = eqrewr
% 9.64/10.01 backwardsubs = 1
% 9.64/10.01 selectoldest = 5
% 9.64/10.01
% 9.64/10.01 litorderings [0] = split
% 9.64/10.01 litorderings [1] = extend the termordering, first sorting on arguments
% 9.64/10.01
% 9.64/10.01 termordering = kbo
% 9.64/10.01
% 9.64/10.01 litapriori = 0
% 9.64/10.01 termapriori = 1
% 9.64/10.01 litaposteriori = 0
% 9.64/10.01 termaposteriori = 0
% 9.64/10.01 demodaposteriori = 0
% 9.64/10.01 ordereqreflfact = 0
% 9.64/10.01
% 9.64/10.01 litselect = negord
% 9.64/10.01
% 9.64/10.01 maxweight = 15
% 9.64/10.01 maxdepth = 30000
% 9.64/10.01 maxlength = 115
% 9.64/10.01 maxnrvars = 195
% 9.64/10.01 excuselevel = 1
% 9.64/10.01 increasemaxweight = 1
% 9.64/10.01
% 9.64/10.01 maxselected = 10000000
% 9.64/10.01 maxnrclauses = 10000000
% 9.64/10.01
% 9.64/10.01 showgenerated = 0
% 9.64/10.01 showkept = 0
% 9.64/10.01 showselected = 0
% 9.64/10.01 showdeleted = 0
% 9.64/10.01 showresimp = 1
% 9.64/10.01 showstatus = 2000
% 9.64/10.01
% 9.64/10.01 prologoutput = 0
% 9.64/10.01 nrgoals = 5000000
% 9.64/10.01 totalproof = 1
% 9.64/10.01
% 9.64/10.01 Symbols occurring in the translation:
% 9.64/10.01
% 9.64/10.01 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 9.64/10.01 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 9.64/10.01 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 9.64/10.01 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.64/10.01 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.64/10.01 coll [38, 3] (w:1, o:63, a:1, s:1, b:0),
% 9.64/10.01 para [40, 4] (w:1, o:71, a:1, s:1, b:0),
% 9.64/10.01 perp [43, 4] (w:1, o:72, a:1, s:1, b:0),
% 9.64/10.01 midp [45, 3] (w:1, o:64, a:1, s:1, b:0),
% 9.64/10.01 cong [47, 4] (w:1, o:73, a:1, s:1, b:0),
% 9.64/10.01 circle [48, 4] (w:1, o:74, a:1, s:1, b:0),
% 9.64/10.01 cyclic [49, 4] (w:1, o:75, a:1, s:1, b:0),
% 9.64/10.01 eqangle [54, 8] (w:1, o:90, a:1, s:1, b:0),
% 9.64/10.01 eqratio [57, 8] (w:1, o:91, a:1, s:1, b:0),
% 9.64/10.01 simtri [59, 6] (w:1, o:87, a:1, s:1, b:0),
% 9.64/10.01 contri [60, 6] (w:1, o:88, a:1, s:1, b:0),
% 9.64/10.01 alpha1 [65, 3] (w:1, o:65, a:1, s:1, b:1),
% 9.64/10.01 alpha2 [66, 4] (w:1, o:76, a:1, s:1, b:1),
% 9.64/10.01 skol1 [67, 4] (w:1, o:77, a:1, s:1, b:1),
% 9.64/10.01 skol2 [68, 4] (w:1, o:79, a:1, s:1, b:1),
% 9.64/10.01 skol3 [69, 4] (w:1, o:81, a:1, s:1, b:1),
% 9.64/10.01 skol4 [70, 4] (w:1, o:82, a:1, s:1, b:1),
% 9.64/10.01 skol5 [71, 4] (w:1, o:83, a:1, s:1, b:1),
% 9.64/10.01 skol6 [72, 6] (w:1, o:89, a:1, s:1, b:1),
% 9.64/10.01 skol7 [73, 2] (w:1, o:59, a:1, s:1, b:1),
% 43.17/43.55 skol8 [74, 4] (w:1, o:84, a:1, s:1, b:1),
% 43.17/43.55 skol9 [75, 4] (w:1, o:85, a:1, s:1, b:1),
% 43.17/43.55 skol10 [76, 3] (w:1, o:66, a:1, s:1, b:1),
% 43.17/43.55 skol11 [77, 3] (w:1, o:67, a:1, s:1, b:1),
% 43.17/43.55 skol12 [78, 2] (w:1, o:60, a:1, s:1, b:1),
% 43.17/43.55 skol13 [79, 5] (w:1, o:86, a:1, s:1, b:1),
% 43.17/43.55 skol14 [80, 3] (w:1, o:68, a:1, s:1, b:1),
% 43.17/43.55 skol15 [81, 3] (w:1, o:69, a:1, s:1, b:1),
% 43.17/43.55 skol16 [82, 3] (w:1, o:70, a:1, s:1, b:1),
% 43.17/43.55 skol17 [83, 2] (w:1, o:61, a:1, s:1, b:1),
% 43.17/43.55 skol18 [84, 2] (w:1, o:62, a:1, s:1, b:1),
% 43.17/43.55 skol19 [85, 4] (w:1, o:78, a:1, s:1, b:1),
% 43.17/43.55 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 43.17/43.55 skol21 [87, 4] (w:1, o:80, a:1, s:1, b:1),
% 43.17/43.55 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 43.17/43.55 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 43.17/43.55 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 43.17/43.55 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1).
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Starting Search:
% 43.17/43.55
% 43.17/43.55 *** allocated 15000 integers for clauses
% 43.17/43.55 *** allocated 22500 integers for clauses
% 43.17/43.55 *** allocated 33750 integers for clauses
% 43.17/43.55 *** allocated 22500 integers for termspace/termends
% 43.17/43.55 *** allocated 50625 integers for clauses
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 33750 integers for termspace/termends
% 43.17/43.55 *** allocated 75937 integers for clauses
% 43.17/43.55 *** allocated 50625 integers for termspace/termends
% 43.17/43.55 *** allocated 113905 integers for clauses
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 21782
% 43.17/43.55 Kept: 2229
% 43.17/43.55 Inuse: 333
% 43.17/43.55 Deleted: 4
% 43.17/43.55 Deletedinuse: 1
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 170857 integers for clauses
% 43.17/43.55 *** allocated 75937 integers for termspace/termends
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 113905 integers for termspace/termends
% 43.17/43.55 *** allocated 256285 integers for clauses
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 44539
% 43.17/43.55 Kept: 4380
% 43.17/43.55 Inuse: 466
% 43.17/43.55 Deleted: 27
% 43.17/43.55 Deletedinuse: 2
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 170857 integers for termspace/termends
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 384427 integers for clauses
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 65645
% 43.17/43.55 Kept: 6436
% 43.17/43.55 Inuse: 546
% 43.17/43.55 Deleted: 27
% 43.17/43.55 Deletedinuse: 2
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 256285 integers for termspace/termends
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 110659
% 43.17/43.55 Kept: 8444
% 43.17/43.55 Inuse: 736
% 43.17/43.55 Deleted: 29
% 43.17/43.55 Deletedinuse: 2
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 576640 integers for clauses
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 138080
% 43.17/43.55 Kept: 10603
% 43.17/43.55 Inuse: 816
% 43.17/43.55 Deleted: 42
% 43.17/43.55 Deletedinuse: 7
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 148764
% 43.17/43.55 Kept: 12659
% 43.17/43.55 Inuse: 844
% 43.17/43.55 Deleted: 46
% 43.17/43.55 Deletedinuse: 9
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 384427 integers for termspace/termends
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 170086
% 43.17/43.55 Kept: 14660
% 43.17/43.55 Inuse: 926
% 43.17/43.55 Deleted: 60
% 43.17/43.55 Deletedinuse: 11
% 43.17/43.55
% 43.17/43.55 *** allocated 864960 integers for clauses
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 191990
% 43.17/43.55 Kept: 16660
% 43.17/43.55 Inuse: 1060
% 43.17/43.55 Deleted: 64
% 43.17/43.55 Deletedinuse: 11
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 213144
% 43.17/43.55 Kept: 18679
% 43.17/43.55 Inuse: 1138
% 43.17/43.55 Deleted: 67
% 43.17/43.55 Deletedinuse: 12
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying clauses:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 230463
% 43.17/43.55 Kept: 20698
% 43.17/43.55 Inuse: 1226
% 43.17/43.55 Deleted: 1817
% 43.17/43.55 Deletedinuse: 15
% 43.17/43.55
% 43.17/43.55 *** allocated 1297440 integers for clauses
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 241299
% 43.17/43.55 Kept: 23386
% 43.17/43.55 Inuse: 1258
% 43.17/43.55 Deleted: 1823
% 43.17/43.55 Deletedinuse: 19
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 576640 integers for termspace/termends
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 251131
% 43.17/43.55 Kept: 25414
% 43.17/43.55 Inuse: 1278
% 43.17/43.55 Deleted: 1824
% 43.17/43.55 Deletedinuse: 19
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 265811
% 43.17/43.55 Kept: 27793
% 43.17/43.55 Inuse: 1322
% 43.17/43.55 Deleted: 1904
% 43.17/43.55 Deletedinuse: 84
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 284824
% 43.17/43.55 Kept: 29810
% 43.17/43.55 Inuse: 1417
% 43.17/43.55 Deleted: 1905
% 43.17/43.55 Deletedinuse: 84
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 300087
% 43.17/43.55 Kept: 32328
% 43.17/43.55 Inuse: 1473
% 43.17/43.55 Deleted: 1910
% 43.17/43.55 Deletedinuse: 86
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 313938
% 43.17/43.55 Kept: 34485
% 43.17/43.55 Inuse: 1501
% 43.17/43.55 Deleted: 1912
% 43.17/43.55 Deletedinuse: 86
% 43.17/43.55
% 43.17/43.55 *** allocated 1946160 integers for clauses
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 333208
% 43.17/43.55 Kept: 36494
% 43.17/43.55 Inuse: 1589
% 43.17/43.55 Deleted: 1930
% 43.17/43.55 Deletedinuse: 101
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 *** allocated 864960 integers for termspace/termends
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 356256
% 43.17/43.55 Kept: 38498
% 43.17/43.55 Inuse: 1726
% 43.17/43.55 Deleted: 1932
% 43.17/43.55 Deletedinuse: 103
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying clauses:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 382469
% 43.17/43.55 Kept: 40515
% 43.17/43.55 Inuse: 1867
% 43.17/43.55 Deleted: 7846
% 43.17/43.55 Deletedinuse: 105
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 411295
% 43.17/43.55 Kept: 42515
% 43.17/43.55 Inuse: 1979
% 43.17/43.55 Deleted: 7851
% 43.17/43.55 Deletedinuse: 109
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 444514
% 43.17/43.55 Kept: 44523
% 43.17/43.55 Inuse: 2107
% 43.17/43.55 Deleted: 7857
% 43.17/43.55 Deletedinuse: 115
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 465851
% 43.17/43.55 Kept: 46532
% 43.17/43.55 Inuse: 2213
% 43.17/43.55 Deleted: 7858
% 43.17/43.55 Deletedinuse: 116
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 488466
% 43.17/43.55 Kept: 48536
% 43.17/43.55 Inuse: 2336
% 43.17/43.55 Deleted: 7865
% 43.17/43.55 Deletedinuse: 123
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55 Resimplifying inuse:
% 43.17/43.55 Done
% 43.17/43.55
% 43.17/43.55
% 43.17/43.55 Intermediate Status:
% 43.17/43.55 Generated: 526849
% 43.17/43.55 Kept: 50548
% 43.17/43.55 Inuse: 2455
% 43.17/43.55 Deleted: 7869
% 43.17/43.55 Deletedinuse: 125
% 43.17/43.56
% 43.17/43.56 Resimplifying inuse:
% 43.17/43.56 Done
% 43.17/43.56
% 43.17/43.56 Resimplifying inuse:
% 43.17/43.56 Done
% 43.17/43.56
% 43.17/43.56 *** allocated 2919240 integers for clauses
% 43.17/43.56
% 43.17/43.56 Intermediate Status:
% 43.17/43.56 Generated: 564215
% 43.17/43.56 Kept: 52558
% 43.17/43.56 Inuse: 2581
% 43.17/43.56 Deleted: 8032
% 43.17/43.56 Deletedinuse: 223
% 43.17/43.56
% 43.17/43.56 Resimplifying inuse:
% 43.17/43.56 Done
% 43.17/43.56
% 43.17/43.56 Resimplifying inuse:
% 43.17/43.56 Done
% 43.17/43.56
% 43.17/43.56
% 43.17/43.56 Intermediate Status:
% 43.17/43.56 Generated: 608064
% 43.17/43.56 Kept: 54561
% 43.17/43.56 Inuse: 2699
% 43.17/43.56 Deleted: 8061
% 43.17/43.56 Deletedinuse: 227
% 43.17/43.56
% 43.17/43.56 Resimplifying inuse:
% 43.17/43.56 Done
% 43.17/43.56
% 43.17/43.56
% 43.17/43.56 Bliksems!, er is een bewijs:
% 43.17/43.56 % SZS status Theorem
% 43.17/43.56 % SZS output start Refutation
% 43.17/43.56
% 43.17/43.56 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 43.17/43.56 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 43.17/43.56 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 43.17/43.56 , Z, X ) }.
% 43.17/43.56 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 43.17/43.56 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 43.17/43.56 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 43.17/43.56 para( X, Y, Z, T ) }.
% 43.17/43.56 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 43.17/43.56 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 43.17/43.56 para( X, Y, Z, T ) }.
% 43.17/43.56 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 43.17/43.56 perp( X, Y, Z, T ) }.
% 43.17/43.56 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 43.17/43.56 }.
% 43.17/43.56 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 43.17/43.56 }.
% 43.17/43.56 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 43.17/43.56 }.
% 43.17/43.56 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 43.17/43.56 ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 43.17/43.56 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 43.17/43.56 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 43.17/43.56 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 43.17/43.56 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 43.17/43.56 cong( X, Y, Z, T ) }.
% 43.17/43.56 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 43.17/43.56 , Y, Z, T ) }.
% 43.17/43.56 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 43.17/43.56 , T, U, W ) }.
% 43.17/43.56 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 43.17/43.56 T, X, T, Y ) }.
% 43.17/43.56 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 43.17/43.56 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 43.17/43.56 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 43.17/43.56 , Y, Z, T ) }.
% 43.17/43.56 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 43.17/43.56 ( X, Z, Y, Z ) }.
% 43.17/43.56 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 43.17/43.56 perp( X, Y, Z, T ) }.
% 43.17/43.56 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 43.17/43.56 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 43.17/43.56 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 43.17/43.56 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 43.17/43.56 ( X, Y, Z ) }.
% 43.17/43.56 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 43.17/43.56 alpha1( X, Y, Z ) }.
% 43.17/43.56 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 43.17/43.56 , Z, X ) }.
% 43.17/43.56 (118) {G0,W9,D2,L1,V0,M1} I { eqangle( skol22, skol25, skol25, skol20,
% 43.17/43.56 skol22, skol25, skol25, skol24 ) }.
% 43.17/43.56 (119) {G0,W5,D2,L1,V0,M1} I { para( skol20, skol24, skol23, skol22 ) }.
% 43.17/43.56 (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol20, skol25 ) }.
% 43.17/43.56 (121) {G0,W5,D2,L1,V0,M1} I { ! cong( skol23, skol22, skol23, skol20 ) }.
% 43.17/43.56 (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 43.17/43.56 (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 43.17/43.56 , midp( X, T, T ) }.
% 43.17/43.56 (151) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 (160) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol23, skol25, skol20 ) }.
% 43.17/43.56 (163) {G2,W4,D2,L1,V0,M1} R(122,160) { coll( skol20, skol20, skol23 ) }.
% 43.17/43.56 (164) {G2,W8,D2,L2,V3,M2} R(122,0) { coll( X, X, Y ), ! coll( Y, X, Z ) }.
% 43.17/43.56 (165) {G2,W8,D2,L2,V3,M2} R(122,0) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 43.17/43.56 (168) {G3,W4,D2,L1,V0,M1} R(163,122) { coll( skol23, skol23, skol20 ) }.
% 43.17/43.56 (170) {G2,W8,D2,L2,V3,M2} R(1,122) { ! coll( X, Y, Z ), coll( Z, Z, Y ) }.
% 43.17/43.56 (184) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( T, Z, X ), !
% 43.17/43.56 coll( T, U, X ), ! coll( T, U, Y ) }.
% 43.17/43.56 (195) {G1,W12,D2,L3,V4,M3} R(2,1) { ! coll( X, Y, Z ), coll( Z, T, X ), !
% 43.17/43.56 coll( Y, X, T ) }.
% 43.17/43.56 (196) {G3,W8,D2,L2,V1,M2} R(2,163) { ! coll( skol20, skol20, X ), coll(
% 43.17/43.56 skol23, X, skol20 ) }.
% 43.17/43.56 (210) {G1,W8,D2,L2,V1,M2} R(2,120) { ! coll( skol23, skol20, X ), coll( X,
% 43.17/43.56 skol25, skol23 ) }.
% 43.17/43.56 (228) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 43.17/43.56 ) }.
% 43.17/43.56 (229) {G1,W5,D2,L1,V0,M1} R(4,119) { para( skol23, skol22, skol20, skol24 )
% 43.17/43.56 }.
% 43.17/43.56 (238) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 43.17/43.56 ), ! para( X, Y, U, W ) }.
% 43.17/43.56 (243) {G1,W10,D2,L2,V2,M2} R(5,119) { ! para( skol23, skol22, X, Y ), para
% 43.17/43.56 ( skol20, skol24, X, Y ) }.
% 43.17/43.56 (246) {G2,W10,D2,L2,V4,M2} F(238) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 43.17/43.56 ) }.
% 43.17/43.56 (247) {G4,W8,D2,L2,V1,M2} R(168,2) { ! coll( skol23, skol23, X ), coll(
% 43.17/43.56 skol20, X, skol23 ) }.
% 43.17/43.56 (269) {G2,W5,D2,L1,V0,M1} R(229,3) { para( skol23, skol22, skol24, skol20 )
% 43.17/43.56 }.
% 43.17/43.56 (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 43.17/43.56 ), ! perp( X, Y, U, W ) }.
% 43.17/43.56 (297) {G3,W8,D2,L2,V3,M2} R(170,170) { coll( X, X, Y ), ! coll( Z, X, Y )
% 43.17/43.56 }.
% 43.17/43.56 (321) {G4,W8,D2,L2,V3,M2} R(297,0) { ! coll( X, Y, Z ), coll( Y, Z, Y ) }.
% 43.17/43.56 (324) {G5,W8,D2,L2,V3,M2} R(321,1) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 43.17/43.56 (331) {G6,W8,D2,L2,V3,M2} R(324,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 43.17/43.56 (339) {G7,W8,D2,L2,V3,M2} R(331,331) { coll( X, Y, Y ), ! coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 (347) {G8,W8,D2,L2,V3,M2} R(339,0) { coll( X, Y, Y ), ! coll( X, Y, Z ) }.
% 43.17/43.56 (358) {G9,W12,D2,L3,V4,M3} R(347,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 43.17/43.56 , coll( T, Y, X ) }.
% 43.17/43.56 (361) {G10,W8,D2,L2,V3,M2} F(358) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 43.17/43.56 (363) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 43.17/43.56 , T, Y ) }.
% 43.17/43.56 (364) {G11,W8,D2,L2,V3,M2} R(361,170) { ! coll( X, Y, Z ), coll( X, X, Y )
% 43.17/43.56 }.
% 43.17/43.56 (365) {G11,W12,D2,L3,V4,M3} R(361,2) { coll( X, Y, Z ), ! coll( X, T, Z ),
% 43.17/43.56 ! coll( X, T, Y ) }.
% 43.17/43.56 (377) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 43.17/43.56 , X, T ) }.
% 43.17/43.56 (379) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 43.17/43.56 , T, Z ) }.
% 43.17/43.56 (392) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 43.17/43.56 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 43.17/43.56 (397) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 43.17/43.56 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 43.17/43.56 (401) {G2,W10,D2,L2,V4,M2} F(392) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 43.17/43.56 , T ) }.
% 43.17/43.56 (449) {G1,W5,D2,L1,V0,M1} R(22,121) { ! cong( skol23, skol22, skol20,
% 43.17/43.56 skol23 ) }.
% 43.17/43.56 (480) {G2,W5,D2,L1,V0,M1} R(23,449) { ! cong( skol20, skol23, skol23,
% 43.17/43.56 skol22 ) }.
% 43.17/43.56 (482) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ), cong( Z, T, Y,
% 43.17/43.56 X ) }.
% 43.17/43.56 (492) {G3,W5,D2,L1,V0,M1} R(480,22) { ! cong( skol20, skol23, skol22,
% 43.17/43.56 skol23 ) }.
% 43.17/43.56 (499) {G4,W10,D2,L2,V2,M2} R(24,492) { ! cong( skol20, skol23, X, Y ), !
% 43.17/43.56 cong( X, Y, skol22, skol23 ) }.
% 43.17/43.56 (722) {G1,W14,D2,L2,V6,M2} R(38,18) { para( X, Y, Z, T ), ! eqangle( U, W,
% 43.17/43.56 X, Y, U, W, Z, T ) }.
% 43.17/43.56 (734) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 43.17/43.56 X, Y, U, W, Z, T ) }.
% 43.17/43.56 (781) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 43.17/43.56 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 43.17/43.56 (837) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 43.17/43.56 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 43.17/43.56 (870) {G2,W15,D2,L3,V3,M3} F(837) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 43.17/43.56 , Z, Y ), cong( X, Y, X, Y ) }.
% 43.17/43.56 (2880) {G5,W8,D2,L2,V2,M2} R(247,164) { coll( skol20, X, skol23 ), ! coll(
% 43.17/43.56 X, skol23, Y ) }.
% 43.17/43.56 (3984) {G3,W8,D2,L2,V3,M2} R(97,170) { ! alpha1( X, Y, Z ), coll( X, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 (7538) {G6,W8,D2,L2,V2,M2} R(2880,164) { ! coll( X, skol23, Y ), coll( X, X
% 43.17/43.56 , skol20 ) }.
% 43.17/43.56 (8432) {G7,W8,D2,L2,V2,M2} R(7538,165) { coll( X, X, skol20 ), ! coll(
% 43.17/43.56 skol23, Y, X ) }.
% 43.17/43.56 (8526) {G8,W12,D2,L3,V4,M3} R(184,8432);f { coll( X, skol20, Y ), ! coll( X
% 43.17/43.56 , Z, Y ), ! coll( skol23, T, Y ) }.
% 43.17/43.56 (8654) {G9,W8,D2,L2,V2,M2} F(8526) { coll( skol23, skol20, X ), ! coll(
% 43.17/43.56 skol23, Y, X ) }.
% 43.17/43.56 (9987) {G4,W8,D2,L2,V2,M2} R(196,195);r(1) { coll( skol23, X, skol20 ), !
% 43.17/43.56 coll( Y, X, skol20 ) }.
% 43.17/43.56 (10021) {G5,W8,D2,L2,V2,M2} R(9987,164) { ! coll( X, Y, skol20 ), coll( Y,
% 43.17/43.56 Y, skol23 ) }.
% 43.17/43.56 (13635) {G10,W8,D2,L2,V2,M2} R(210,8654) { coll( X, skol25, skol23 ), !
% 43.17/43.56 coll( skol23, Y, X ) }.
% 43.17/43.56 (15274) {G3,W5,D2,L1,V0,M1} R(243,269) { para( skol20, skol24, skol24,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 (15276) {G4,W5,D2,L1,V0,M1} R(15274,228) { para( skol24, skol20, skol24,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 (15287) {G5,W4,D2,L1,V0,M1} R(15276,66) { coll( skol24, skol20, skol20 )
% 43.17/43.56 }.
% 43.17/43.56 (15302) {G6,W4,D2,L1,V0,M1} R(15287,165) { coll( skol20, skol24, skol20 )
% 43.17/43.56 }.
% 43.17/43.56 (15310) {G7,W4,D2,L1,V0,M1} R(15302,10021) { coll( skol24, skol24, skol23 )
% 43.17/43.56 }.
% 43.17/43.56 (15371) {G8,W4,D2,L1,V0,M1} R(15310,170) { coll( skol23, skol23, skol24 )
% 43.17/43.56 }.
% 43.17/43.56 (16683) {G11,W4,D2,L1,V0,M1} R(13635,15371) { coll( skol24, skol25, skol23
% 43.17/43.56 ) }.
% 43.17/43.56 (17074) {G12,W4,D2,L1,V0,M1} R(16683,364) { coll( skol24, skol24, skol25 )
% 43.17/43.56 }.
% 43.17/43.56 (45625) {G2,W5,D2,L1,V0,M1} R(722,118) { para( skol25, skol20, skol25,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 (45645) {G3,W5,D2,L1,V0,M1} R(45625,246) { para( skol25, skol24, skol25,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 (45671) {G4,W5,D2,L1,V0,M1} R(45645,228) { para( skol25, skol24, skol24,
% 43.17/43.56 skol25 ) }.
% 43.17/43.56 (45677) {G5,W5,D2,L1,V0,M1} R(45671,246) { para( skol24, skol25, skol24,
% 43.17/43.56 skol25 ) }.
% 43.17/43.56 (47009) {G6,W9,D2,L1,V2,M1} R(734,45677) { eqangle( X, Y, skol24, skol25, X
% 43.17/43.56 , Y, skol24, skol25 ) }.
% 43.17/43.56 (50243) {G13,W5,D2,L1,V1,M1} R(781,17074);r(47009) { cyclic( X, skol25,
% 43.17/43.56 skol24, skol24 ) }.
% 43.17/43.56 (50348) {G14,W5,D2,L1,V1,M1} R(50243,379) { cyclic( skol25, X, skol24,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 (50360) {G15,W5,D2,L1,V1,M1} R(50348,401) { cyclic( skol24, X, skol24,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 (50382) {G16,W5,D2,L1,V1,M1} R(50360,377) { cyclic( skol24, skol24, X,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 (50383) {G16,W5,D2,L1,V1,M1} R(50360,363) { cyclic( skol24, skol24, skol24
% 43.17/43.56 , X ) }.
% 43.17/43.56 (50388) {G17,W5,D2,L1,V2,M1} R(50382,397);r(50383) { cyclic( skol24, skol24
% 43.17/43.56 , X, Y ) }.
% 43.17/43.56 (50521) {G18,W5,D2,L1,V3,M1} R(50388,397);r(50388) { cyclic( skol24, X, Y,
% 43.17/43.56 Z ) }.
% 43.17/43.56 (50540) {G19,W5,D2,L1,V4,M1} R(50521,397);r(50521) { cyclic( X, Y, Z, T )
% 43.17/43.56 }.
% 43.17/43.56 (55207) {G20,W5,D2,L1,V2,M1} S(870);r(50540);r(50540) { cong( X, Y, X, Y )
% 43.17/43.56 }.
% 43.17/43.56 (55210) {G21,W5,D2,L1,V2,M1} R(55207,482) { cong( X, Y, Y, X ) }.
% 43.17/43.56 (55224) {G21,W5,D2,L1,V3,M1} R(55207,56);r(55207) { perp( X, X, Z, Y ) }.
% 43.17/43.56 (55249) {G22,W5,D2,L1,V4,M1} R(55224,279);r(55224) { para( X, Y, Z, T ) }.
% 43.17/43.56 (55251) {G22,W4,D2,L1,V2,M1} R(55224,151) { alpha1( X, X, Y ) }.
% 43.17/43.56 (55271) {G23,W5,D2,L1,V4,M1} R(55224,9);r(55249) { perp( X, Y, T, U ) }.
% 43.17/43.56 (55362) {G23,W4,D2,L1,V2,M1} R(55251,3984) { coll( X, X, Y ) }.
% 43.17/43.56 (55366) {G24,W4,D2,L1,V3,M1} R(55362,365);r(55362) { coll( X, Y, Z ) }.
% 43.17/43.56 (55403) {G25,W4,D2,L1,V1,M1} R(55210,67);r(55366) { midp( X, X, X ) }.
% 43.17/43.56 (55408) {G26,W4,D2,L1,V2,M1} R(55403,138);r(55249) { midp( X, Y, Y ) }.
% 43.17/43.56 (55419) {G27,W5,D2,L1,V3,M1} R(55408,52);r(55271) { cong( X, Z, Y, Z ) }.
% 43.17/43.56 (55443) {G28,W0,D0,L0,V0,M0} R(55419,499);r(55419) { }.
% 43.17/43.56
% 43.17/43.56
% 43.17/43.56 % SZS output end Refutation
% 43.17/43.56 found a proof!
% 43.17/43.56
% 43.17/43.56
% 43.17/43.56 Unprocessed initial clauses:
% 43.17/43.56
% 43.17/43.56 (55445) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 43.17/43.56 (55446) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 43.17/43.56 (55447) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 43.17/43.56 ( Y, Z, X ) }.
% 43.17/43.56 (55448) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 43.17/43.56 }.
% 43.17/43.56 (55449) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 43.17/43.56 }.
% 43.17/43.56 (55450) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 43.17/43.56 , para( X, Y, Z, T ) }.
% 43.17/43.56 (55451) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 43.17/43.56 }.
% 43.17/43.56 (55452) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 43.17/43.56 }.
% 43.17/43.56 (55453) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 43.17/43.56 , para( X, Y, Z, T ) }.
% 43.17/43.56 (55454) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 43.17/43.56 , perp( X, Y, Z, T ) }.
% 43.17/43.56 (55455) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 43.17/43.56 (55456) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 43.17/43.56 , circle( T, X, Y, Z ) }.
% 43.17/43.56 (55457) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 43.17/43.56 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 (55458) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 43.17/43.56 ) }.
% 43.17/43.56 (55459) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 43.17/43.56 ) }.
% 43.17/43.56 (55460) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 43.17/43.56 ) }.
% 43.17/43.56 (55461) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 43.17/43.56 T ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 (55462) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 43.17/43.56 (55463) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 43.17/43.56 (55464) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 43.17/43.56 (55465) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 43.17/43.56 (55466) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 43.17/43.56 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 43.17/43.56 V1 ) }.
% 43.17/43.56 (55467) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 43.17/43.56 }.
% 43.17/43.56 (55468) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 43.17/43.56 }.
% 43.17/43.56 (55469) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 43.17/43.56 , cong( X, Y, Z, T ) }.
% 43.17/43.56 (55470) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 43.17/43.56 (55471) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 43.17/43.56 (55472) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 43.17/43.56 (55473) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 43.17/43.56 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 43.17/43.56 (55474) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 43.17/43.56 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 43.17/43.56 V1 ) }.
% 43.17/43.56 (55475) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 43.17/43.56 , Z, T, U, W ) }.
% 43.17/43.56 (55476) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 43.17/43.56 , Z, T, U, W ) }.
% 43.17/43.56 (55477) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 43.17/43.56 , Z, T, U, W ) }.
% 43.17/43.56 (55478) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 43.17/43.56 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 43.17/43.56 (55479) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 43.17/43.56 , Z, T, U, W ) }.
% 43.17/43.56 (55480) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 43.17/43.56 , Z, T, U, W ) }.
% 43.17/43.56 (55481) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 43.17/43.56 , Z, T, U, W ) }.
% 43.17/43.56 (55482) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 43.17/43.56 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 43.17/43.56 (55483) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 43.17/43.56 X, Y, Z, T ) }.
% 43.17/43.56 (55484) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 43.17/43.56 Z, T, U, W ) }.
% 43.17/43.56 (55485) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 43.17/43.56 , T, X, T, Y ) }.
% 43.17/43.56 (55486) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 43.17/43.56 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 (55487) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 43.17/43.56 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 (55488) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 43.17/43.56 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 43.17/43.56 , Y, Z, T ) }.
% 43.17/43.56 (55489) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 43.17/43.56 ( Z, T, X, Y ) }.
% 43.17/43.56 (55490) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 43.17/43.56 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 43.17/43.56 (55491) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 43.17/43.56 X, Y, Z, Y ) }.
% 43.17/43.56 (55492) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 43.17/43.56 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 43.17/43.56 (55493) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 43.17/43.56 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 43.17/43.56 (55494) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 43.17/43.56 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 43.17/43.56 (55495) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 43.17/43.56 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 43.17/43.56 (55496) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 43.17/43.56 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 43.17/43.56 (55497) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 43.17/43.56 cong( X, Z, Y, Z ) }.
% 43.17/43.56 (55498) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 43.17/43.56 perp( X, Y, Y, Z ) }.
% 43.17/43.56 (55499) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 43.17/43.56 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 43.17/43.56 (55500) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 43.17/43.56 cong( Z, X, Z, Y ) }.
% 43.17/43.56 (55501) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 43.17/43.56 , perp( X, Y, Z, T ) }.
% 43.17/43.56 (55502) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 43.17/43.56 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 43.17/43.56 (55503) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 43.17/43.56 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 43.17/43.56 , W ) }.
% 43.17/43.56 (55504) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 43.17/43.56 , X, Z, T, U, T, W ) }.
% 43.17/43.56 (55505) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 43.17/43.56 , Y, Z, T, U, U, W ) }.
% 43.17/43.56 (55506) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 43.17/43.56 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 43.17/43.56 (55507) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 43.17/43.56 , T ) }.
% 43.17/43.56 (55508) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 43.17/43.56 ( X, Z, Y, T ) }.
% 43.17/43.56 (55509) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 43.17/43.56 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 43.17/43.56 (55510) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 43.17/43.56 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 43.17/43.56 (55511) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 43.17/43.56 (55512) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 43.17/43.56 midp( X, Y, Z ) }.
% 43.17/43.56 (55513) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 43.17/43.56 (55514) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 43.17/43.56 (55515) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 43.17/43.56 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 43.17/43.56 (55516) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 43.17/43.56 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 43.17/43.56 (55517) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 43.17/43.56 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 43.17/43.56 (55518) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 43.17/43.56 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 43.17/43.56 (55519) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 43.17/43.56 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 43.17/43.56 (55520) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 43.17/43.56 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 43.17/43.56 (55521) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 43.17/43.56 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 43.17/43.56 (55522) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 43.17/43.56 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 43.17/43.56 (55523) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 43.17/43.56 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 43.17/43.56 (55524) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 43.17/43.56 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 43.17/43.56 (55525) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 43.17/43.56 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 43.17/43.56 (55526) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 43.17/43.56 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 43.17/43.56 (55527) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 43.17/43.56 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 43.17/43.56 (55528) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 43.17/43.56 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 43.17/43.56 (55529) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 43.17/43.56 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 43.17/43.56 (55530) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 43.17/43.56 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 43.17/43.56 , T ) ) }.
% 43.17/43.56 (55531) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 43.17/43.56 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 43.17/43.56 (55532) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 43.17/43.56 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 43.17/43.56 (55533) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 43.17/43.56 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 43.17/43.56 (55534) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 43.17/43.56 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 43.17/43.56 (55535) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 43.17/43.56 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 43.17/43.56 ) }.
% 43.17/43.56 (55536) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 43.17/43.56 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 43.17/43.56 }.
% 43.17/43.56 (55537) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 43.17/43.56 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 43.17/43.56 (55538) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 43.17/43.56 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 43.17/43.56 (55539) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 43.17/43.56 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 43.17/43.56 (55540) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 43.17/43.56 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 43.17/43.56 (55541) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 43.17/43.56 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 43.17/43.56 (55542) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 43.17/43.56 , alpha1( X, Y, Z ) }.
% 43.17/43.56 (55543) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 43.17/43.56 ), Z, X ) }.
% 43.17/43.56 (55544) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 43.17/43.56 , Z ), Z, X ) }.
% 43.17/43.56 (55545) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 43.17/43.56 alpha1( X, Y, Z ) }.
% 43.17/43.56 (55546) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 43.17/43.56 ), X, X, Y ) }.
% 43.17/43.56 (55547) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 43.17/43.56 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 43.17/43.56 ) ) }.
% 43.17/43.56 (55548) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 43.17/43.56 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 43.17/43.56 (55549) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 43.17/43.56 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 43.17/43.56 }.
% 43.17/43.56 (55550) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 43.17/43.56 (55551) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 43.17/43.56 }.
% 43.17/43.56 (55552) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 43.17/43.56 alpha2( X, Y, Z, T ) }.
% 43.17/43.56 (55553) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 43.17/43.56 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 43.17/43.56 (55554) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 43.17/43.56 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 43.17/43.56 (55555) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 43.17/43.56 coll( skol16( W, Y, Z ), Y, Z ) }.
% 43.17/43.56 (55556) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 43.17/43.56 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 43.17/43.56 (55557) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 43.17/43.56 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 43.17/43.56 (55558) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 43.17/43.56 , coll( X, Y, skol18( X, Y ) ) }.
% 43.17/43.56 (55559) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 43.17/43.56 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 43.17/43.56 (55560) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 43.17/43.56 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 43.17/43.56 }.
% 43.17/43.56 (55561) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 43.17/43.56 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 43.17/43.56 }.
% 43.17/43.56 (55562) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol20, skol20, skol24,
% 43.17/43.56 skol22, skol20, skol20, skol25 ) }.
% 43.17/43.56 (55563) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol24, skol24, skol25,
% 43.17/43.56 skol22, skol24, skol24, skol20 ) }.
% 43.17/43.56 (55564) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol25, skol25, skol20,
% 43.17/43.56 skol22, skol25, skol25, skol24 ) }.
% 43.17/43.56 (55565) {G0,W5,D2,L1,V0,M1} { para( skol20, skol24, skol23, skol22 ) }.
% 43.17/43.56 (55566) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 ) }.
% 43.17/43.56 (55567) {G0,W5,D2,L1,V0,M1} { ! cong( skol23, skol22, skol23, skol20 ) }.
% 43.17/43.56
% 43.17/43.56
% 43.17/43.56 Total Proof:
% 43.17/43.56
% 43.17/43.56 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 parent0: (55445) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 parent0: (55446) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 43.17/43.56 Z ), coll( Y, Z, X ) }.
% 43.17/43.56 parent0: (55447) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 43.17/43.56 ), coll( Y, Z, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 43.17/43.56 , T, Z ) }.
% 43.17/43.56 parent0: (55448) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 43.17/43.56 T, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 43.17/43.56 , X, Y ) }.
% 43.17/43.56 parent0: (55449) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 43.17/43.56 X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 43.17/43.56 W, Z, T ), para( X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55450) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 43.17/43.56 , Z, T ), para( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 43.17/43.56 , X, Y ) }.
% 43.17/43.56 parent0: (55452) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 43.17/43.56 X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 43.17/43.56 W, Z, T ), para( X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55453) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 43.17/43.56 , Z, T ), para( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 43.17/43.56 W, Z, T ), perp( X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55454) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 43.17/43.56 , Z, T ), perp( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 43.17/43.56 X, Y, T, Z ) }.
% 43.17/43.56 parent0: (55458) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 43.17/43.56 , Y, T, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 43.17/43.56 X, Z, Y, T ) }.
% 43.17/43.56 parent0: (55459) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 43.17/43.56 , Z, Y, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 43.17/43.56 Y, X, Z, T ) }.
% 43.17/43.56 parent0: (55460) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 43.17/43.56 , X, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 43.17/43.56 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55461) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 43.17/43.56 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 43.17/43.56 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 43.17/43.56 parent0: (55463) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 43.17/43.56 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 V0 := V0
% 43.17/43.56 V1 := V1
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 43.17/43.56 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55464) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 43.17/43.56 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 V0 := V0
% 43.17/43.56 V1 := V1
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 43.17/43.56 , T, Z ) }.
% 43.17/43.56 parent0: (55467) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 43.17/43.56 T, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 43.17/43.56 , X, Y ) }.
% 43.17/43.56 parent0: (55468) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 43.17/43.56 X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 43.17/43.56 , W, Z, T ), cong( X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55469) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 43.17/43.56 , Z, T ), cong( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 43.17/43.56 W ), para( X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55483) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 43.17/43.56 ), para( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 43.17/43.56 , Y, U, W, Z, T, U, W ) }.
% 43.17/43.56 parent0: (55484) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 43.17/43.56 Y, U, W, Z, T, U, W ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 43.17/43.56 ( Z, X, Z, Y, T, X, T, Y ) }.
% 43.17/43.56 parent0: (55485) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 43.17/43.56 , X, Z, Y, T, X, T, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 43.17/43.56 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55487) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 43.17/43.56 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 43.17/43.56 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 43.17/43.56 ), cong( X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55488) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 43.17/43.56 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 43.17/43.56 , cong( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 3 ==> 3
% 43.17/43.56 4 ==> 4
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 43.17/43.56 , X, T ), cong( X, Z, Y, Z ) }.
% 43.17/43.56 parent0: (55497) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 43.17/43.56 , T ), cong( X, Z, Y, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 43.17/43.56 , T, Y, T ), perp( X, Y, Z, T ) }.
% 43.17/43.56 parent0: (55501) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 43.17/43.56 , Y, T ), perp( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 43.17/43.56 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 43.17/43.56 parent0: (55509) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 43.17/43.56 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 3 ==> 3
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 43.17/43.56 , Z ) }.
% 43.17/43.56 parent0: (55511) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 43.17/43.56 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 43.17/43.56 , Y, Z ), midp( X, Y, Z ) }.
% 43.17/43.56 parent0: (55512) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 43.17/43.56 , Z ), midp( X, Y, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 43.17/43.56 , T, X, Z ), alpha1( X, Y, Z ) }.
% 43.17/43.56 parent0: (55542) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 43.17/43.56 , X, Z ), alpha1( X, Y, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 43.17/43.56 skol11( X, T, Z ), Z, X ) }.
% 43.17/43.56 parent0: (55543) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 43.17/43.56 ( X, T, Z ), Z, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (118) {G0,W9,D2,L1,V0,M1} I { eqangle( skol22, skol25, skol25
% 43.17/43.56 , skol20, skol22, skol25, skol25, skol24 ) }.
% 43.17/43.56 parent0: (55564) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol25, skol25,
% 43.17/43.56 skol20, skol22, skol25, skol25, skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { para( skol20, skol24, skol23,
% 43.17/43.56 skol22 ) }.
% 43.17/43.56 parent0: (55565) {G0,W5,D2,L1,V0,M1} { para( skol20, skol24, skol23,
% 43.17/43.56 skol22 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol20, skol25 )
% 43.17/43.56 }.
% 43.17/43.56 parent0: (55566) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { ! cong( skol23, skol22, skol23,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 parent0: (55567) {G0,W5,D2,L1,V0,M1} { ! cong( skol23, skol22, skol23,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56132) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 43.17/43.56 , Z ), coll( Y, Z, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := Z
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 43.17/43.56 , X ) }.
% 43.17/43.56 parent0: (56132) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56133) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 43.17/43.56 , T ), midp( X, T, T ) }.
% 43.17/43.56 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 43.17/43.56 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := T
% 43.17/43.56 Y := T
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 U := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 43.17/43.56 Y, T, Z, T ), midp( X, T, T ) }.
% 43.17/43.56 parent0: (56133) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 43.17/43.56 , T ), midp( X, T, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56134) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 43.17/43.56 Z ) }.
% 43.17/43.56 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 43.17/43.56 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Z
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (151) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 43.17/43.56 ( X, X, Z ) }.
% 43.17/43.56 parent0: (56134) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 43.17/43.56 , Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56135) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol20, skol25 )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol23
% 43.17/43.56 Y := skol20
% 43.17/43.56 Z := skol25
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (160) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol23, skol25,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 parent0: (56135) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56136) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol23 )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 43.17/43.56 , X ) }.
% 43.17/43.56 parent1[0]: (160) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol23, skol25,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol23
% 43.17/43.56 Y := skol25
% 43.17/43.56 Z := skol20
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (163) {G2,W4,D2,L1,V0,M1} R(122,160) { coll( skol20, skol20,
% 43.17/43.56 skol23 ) }.
% 43.17/43.56 parent0: (56136) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56137) {G1,W8,D2,L2,V3,M2} { coll( Z, Z, X ), ! coll( X, Z, Y
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 43.17/43.56 , X ) }.
% 43.17/43.56 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (164) {G2,W8,D2,L2,V3,M2} R(122,0) { coll( X, X, Y ), ! coll(
% 43.17/43.56 Y, X, Z ) }.
% 43.17/43.56 parent0: (56137) {G1,W8,D2,L2,V3,M2} { coll( Z, Z, X ), ! coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56139) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Y, Z, X
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 parent1[1]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 43.17/43.56 , X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Y
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (165) {G2,W8,D2,L2,V3,M2} R(122,0) { ! coll( X, Y, Z ), coll(
% 43.17/43.56 Z, X, Z ) }.
% 43.17/43.56 parent0: (56139) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Y, Z, X )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56140) {G2,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 43.17/43.56 , X ) }.
% 43.17/43.56 parent1[0]: (163) {G2,W4,D2,L1,V0,M1} R(122,160) { coll( skol20, skol20,
% 43.17/43.56 skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol20
% 43.17/43.56 Y := skol20
% 43.17/43.56 Z := skol23
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (168) {G3,W4,D2,L1,V0,M1} R(163,122) { coll( skol23, skol23,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 parent0: (56140) {G2,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56142) {G1,W8,D2,L2,V3,M2} { coll( Z, Z, X ), ! coll( Y, X, Z
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (122) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 43.17/43.56 , X ) }.
% 43.17/43.56 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (170) {G2,W8,D2,L2,V3,M2} R(1,122) { ! coll( X, Y, Z ), coll(
% 43.17/43.56 Z, Z, Y ) }.
% 43.17/43.56 parent0: (56142) {G1,W8,D2,L2,V3,M2} { coll( Z, Z, X ), ! coll( Y, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56143) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, T ), coll( Z, T,
% 43.17/43.56 X ), ! coll( Z, U, X ), ! coll( Z, U, Y ) }.
% 43.17/43.56 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 43.17/43.56 ), coll( Y, Z, X ) }.
% 43.17/43.56 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 43.17/43.56 ), coll( Y, Z, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := T
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Y
% 43.17/43.56 T := U
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (184) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( T
% 43.17/43.56 , Z, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 43.17/43.56 parent0: (56143) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, T ), coll( Z, T, X )
% 43.17/43.56 , ! coll( Z, U, X ), ! coll( Z, U, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := T
% 43.17/43.56 T := Z
% 43.17/43.56 U := U
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 3 ==> 3
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56152) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T,
% 43.17/43.56 X ), ! coll( Y, X, T ) }.
% 43.17/43.56 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 43.17/43.56 ), coll( Y, Z, X ) }.
% 43.17/43.56 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := T
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (195) {G1,W12,D2,L3,V4,M3} R(2,1) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , T, X ), ! coll( Y, X, T ) }.
% 43.17/43.56 parent0: (56152) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T, X )
% 43.17/43.56 , ! coll( Y, X, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56154) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ),
% 43.17/43.56 coll( skol23, X, skol20 ) }.
% 43.17/43.56 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 43.17/43.56 ), coll( Y, Z, X ) }.
% 43.17/43.56 parent1[0]: (163) {G2,W4,D2,L1,V0,M1} R(122,160) { coll( skol20, skol20,
% 43.17/43.56 skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol20
% 43.17/43.56 Y := skol23
% 43.17/43.56 Z := X
% 43.17/43.56 T := skol20
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (196) {G3,W8,D2,L2,V1,M2} R(2,163) { ! coll( skol20, skol20, X
% 43.17/43.56 ), coll( skol23, X, skol20 ) }.
% 43.17/43.56 parent0: (56154) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ), coll(
% 43.17/43.56 skol23, X, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56157) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol20, X ),
% 43.17/43.56 coll( X, skol25, skol23 ) }.
% 43.17/43.56 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 43.17/43.56 ), coll( Y, Z, X ) }.
% 43.17/43.56 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol20, skol25 )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol23
% 43.17/43.56 Y := X
% 43.17/43.56 Z := skol25
% 43.17/43.56 T := skol20
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (210) {G1,W8,D2,L2,V1,M2} R(2,120) { ! coll( skol23, skol20, X
% 43.17/43.56 ), coll( X, skol25, skol23 ) }.
% 43.17/43.56 parent0: (56157) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol20, X ), coll(
% 43.17/43.56 X, skol25, skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56159) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 43.17/43.56 T, X, Y ) }.
% 43.17/43.56 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 43.17/43.56 T, Z ) }.
% 43.17/43.56 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 43.17/43.56 X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := T
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (228) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 43.17/43.56 ( Z, T, Y, X ) }.
% 43.17/43.56 parent0: (56159) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 43.17/43.56 X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := T
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56160) {G1,W5,D2,L1,V0,M1} { para( skol23, skol22, skol20,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 43.17/43.56 X, Y ) }.
% 43.17/43.56 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { para( skol20, skol24, skol23,
% 43.17/43.56 skol22 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol20
% 43.17/43.56 Y := skol24
% 43.17/43.56 Z := skol23
% 43.17/43.56 T := skol22
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (229) {G1,W5,D2,L1,V0,M1} R(4,119) { para( skol23, skol22,
% 43.17/43.56 skol20, skol24 ) }.
% 43.17/43.56 parent0: (56160) {G1,W5,D2,L1,V0,M1} { para( skol23, skol22, skol20,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56161) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 43.17/43.56 Y, U, W ), ! para( Z, T, X, Y ) }.
% 43.17/43.56 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 43.17/43.56 , Z, T ), para( X, Y, Z, T ) }.
% 43.17/43.56 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 43.17/43.56 X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := U
% 43.17/43.56 T := W
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := T
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (238) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 43.17/43.56 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 43.17/43.56 parent0: (56161) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 43.17/43.56 U, W ), ! para( Z, T, X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := U
% 43.17/43.56 Y := W
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56165) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol22, X, Y )
% 43.17/43.56 , para( skol20, skol24, X, Y ) }.
% 43.17/43.56 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 43.17/43.56 , Z, T ), para( X, Y, Z, T ) }.
% 43.17/43.56 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { para( skol20, skol24, skol23,
% 43.17/43.56 skol22 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol20
% 43.17/43.56 Y := skol24
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 U := skol23
% 43.17/43.56 W := skol22
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (243) {G1,W10,D2,L2,V2,M2} R(5,119) { ! para( skol23, skol22,
% 43.17/43.56 X, Y ), para( skol20, skol24, X, Y ) }.
% 43.17/43.56 parent0: (56165) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol22, X, Y ),
% 43.17/43.56 para( skol20, skol24, X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56167) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 43.17/43.56 , T ) }.
% 43.17/43.56 parent0[0, 2]: (238) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 43.17/43.56 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (246) {G2,W10,D2,L2,V4,M2} F(238) { ! para( X, Y, Z, T ), para
% 43.17/43.56 ( Z, T, Z, T ) }.
% 43.17/43.56 parent0: (56167) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 43.17/43.56 Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56168) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, X ),
% 43.17/43.56 coll( skol20, X, skol23 ) }.
% 43.17/43.56 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 43.17/43.56 ), coll( Y, Z, X ) }.
% 43.17/43.56 parent1[0]: (168) {G3,W4,D2,L1,V0,M1} R(163,122) { coll( skol23, skol23,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol23
% 43.17/43.56 Y := skol20
% 43.17/43.56 Z := X
% 43.17/43.56 T := skol23
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (247) {G4,W8,D2,L2,V1,M2} R(168,2) { ! coll( skol23, skol23, X
% 43.17/43.56 ), coll( skol20, X, skol23 ) }.
% 43.17/43.56 parent0: (56168) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, X ), coll(
% 43.17/43.56 skol20, X, skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56170) {G1,W5,D2,L1,V0,M1} { para( skol23, skol22, skol24,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 43.17/43.56 T, Z ) }.
% 43.17/43.56 parent1[0]: (229) {G1,W5,D2,L1,V0,M1} R(4,119) { para( skol23, skol22,
% 43.17/43.56 skol20, skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol23
% 43.17/43.56 Y := skol22
% 43.17/43.56 Z := skol20
% 43.17/43.56 T := skol24
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (269) {G2,W5,D2,L1,V0,M1} R(229,3) { para( skol23, skol22,
% 43.17/43.56 skol24, skol20 ) }.
% 43.17/43.56 parent0: (56170) {G1,W5,D2,L1,V0,M1} { para( skol23, skol22, skol24,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56171) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 43.17/43.56 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 43.17/43.56 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 43.17/43.56 , Z, T ), para( X, Y, Z, T ) }.
% 43.17/43.56 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 43.17/43.56 X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := U
% 43.17/43.56 T := W
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := T
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 43.17/43.56 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 43.17/43.56 parent0: (56171) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 43.17/43.56 U, W ), ! perp( Z, T, X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := U
% 43.17/43.56 Y := W
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56175) {G3,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (170) {G2,W8,D2,L2,V3,M2} R(1,122) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , Z, Y ) }.
% 43.17/43.56 parent1[1]: (170) {G2,W8,D2,L2,V3,M2} R(1,122) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , Z, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Y
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (297) {G3,W8,D2,L2,V3,M2} R(170,170) { coll( X, X, Y ), ! coll
% 43.17/43.56 ( Z, X, Y ) }.
% 43.17/43.56 parent0: (56175) {G3,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56177) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Z, X, Y
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 parent1[0]: (297) {G3,W8,D2,L2,V3,M2} R(170,170) { coll( X, X, Y ), ! coll
% 43.17/43.56 ( Z, X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Y
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (321) {G4,W8,D2,L2,V3,M2} R(297,0) { ! coll( X, Y, Z ), coll(
% 43.17/43.56 Y, Z, Y ) }.
% 43.17/43.56 parent0: (56177) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Z, X, Y )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56178) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Y ), ! coll( Y, X, Z
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (321) {G4,W8,D2,L2,V3,M2} R(297,0) { ! coll( X, Y, Z ), coll( Y
% 43.17/43.56 , Z, Y ) }.
% 43.17/43.56 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (324) {G5,W8,D2,L2,V3,M2} R(321,1) { coll( X, Y, X ), ! coll(
% 43.17/43.56 X, Z, Y ) }.
% 43.17/43.56 parent0: (56178) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Y ), ! coll( Y, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56180) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 parent1[0]: (324) {G5,W8,D2,L2,V3,M2} R(321,1) { coll( X, Y, X ), ! coll( X
% 43.17/43.56 , Z, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (331) {G6,W8,D2,L2,V3,M2} R(324,1) { ! coll( X, Y, Z ), coll(
% 43.17/43.56 Z, X, X ) }.
% 43.17/43.56 parent0: (56180) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56181) {G7,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Y, Z, X
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (331) {G6,W8,D2,L2,V3,M2} R(324,1) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , X, X ) }.
% 43.17/43.56 parent1[1]: (331) {G6,W8,D2,L2,V3,M2} R(324,1) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , X, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Y
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (339) {G7,W8,D2,L2,V3,M2} R(331,331) { coll( X, Y, Y ), ! coll
% 43.17/43.56 ( X, Z, Y ) }.
% 43.17/43.56 parent0: (56181) {G7,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Y, Z, X )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56182) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[1]: (339) {G7,W8,D2,L2,V3,M2} R(331,331) { coll( X, Y, Y ), ! coll
% 43.17/43.56 ( X, Z, Y ) }.
% 43.17/43.56 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (347) {G8,W8,D2,L2,V3,M2} R(339,0) { coll( X, Y, Y ), ! coll(
% 43.17/43.56 X, Y, Z ) }.
% 43.17/43.56 parent0: (56182) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56186) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 43.17/43.56 X ), ! coll( X, Y, T ) }.
% 43.17/43.56 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 43.17/43.56 ), coll( Y, Z, X ) }.
% 43.17/43.56 parent1[0]: (347) {G8,W8,D2,L2,V3,M2} R(339,0) { coll( X, Y, Y ), ! coll( X
% 43.17/43.56 , Y, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := Y
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (358) {G9,W12,D2,L3,V4,M3} R(347,2) { ! coll( X, Y, Z ), !
% 43.17/43.56 coll( X, Y, T ), coll( T, Y, X ) }.
% 43.17/43.56 parent0: (56186) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 43.17/43.56 , ! coll( X, Y, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := T
% 43.17/43.56 T := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 2
% 43.17/43.56 2 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56189) {G9,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0, 1]: (358) {G9,W12,D2,L3,V4,M3} R(347,2) { ! coll( X, Y, Z ), !
% 43.17/43.56 coll( X, Y, T ), coll( T, Y, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (361) {G10,W8,D2,L2,V3,M2} F(358) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , Y, X ) }.
% 43.17/43.56 parent0: (56189) {G9,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56191) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 43.17/43.56 ( X, Z, Y, T ) }.
% 43.17/43.56 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 43.17/43.56 , Y, T, Z ) }.
% 43.17/43.56 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 43.17/43.56 , Z, Y, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := Y
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (363) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 43.17/43.56 cyclic( X, Z, T, Y ) }.
% 43.17/43.56 parent0: (56191) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 43.17/43.56 , Z, Y, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := Y
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56193) {G3,W8,D2,L2,V3,M2} { coll( Z, Z, Y ), ! coll( Z, Y, X
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (170) {G2,W8,D2,L2,V3,M2} R(1,122) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , Z, Y ) }.
% 43.17/43.56 parent1[1]: (361) {G10,W8,D2,L2,V3,M2} F(358) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , Y, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (364) {G11,W8,D2,L2,V3,M2} R(361,170) { ! coll( X, Y, Z ),
% 43.17/43.56 coll( X, X, Y ) }.
% 43.17/43.56 parent0: (56193) {G3,W8,D2,L2,V3,M2} { coll( Z, Z, Y ), ! coll( Z, Y, X )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56194) {G1,W12,D2,L3,V4,M3} { coll( Z, Y, X ), ! coll( Z, T,
% 43.17/43.56 X ), ! coll( Z, T, Y ) }.
% 43.17/43.56 parent0[0]: (361) {G10,W8,D2,L2,V3,M2} F(358) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , Y, X ) }.
% 43.17/43.56 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 43.17/43.56 ), coll( Y, Z, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Y
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (365) {G11,W12,D2,L3,V4,M3} R(361,2) { coll( X, Y, Z ), ! coll
% 43.17/43.56 ( X, T, Z ), ! coll( X, T, Y ) }.
% 43.17/43.56 parent0: (56194) {G1,W12,D2,L3,V4,M3} { coll( Z, Y, X ), ! coll( Z, T, X )
% 43.17/43.56 , ! coll( Z, T, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := X
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56196) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 43.17/43.56 ( X, Z, Y, T ) }.
% 43.17/43.56 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 43.17/43.56 , X, Z, T ) }.
% 43.17/43.56 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 43.17/43.56 , Z, Y, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := Y
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (377) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 43.17/43.56 cyclic( Y, Z, X, T ) }.
% 43.17/43.56 parent0: (56196) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 43.17/43.56 , Z, Y, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56197) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 43.17/43.56 ( X, Y, T, Z ) }.
% 43.17/43.56 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 43.17/43.56 , X, Z, T ) }.
% 43.17/43.56 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 43.17/43.56 , Y, T, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := T
% 43.17/43.56 T := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (379) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 43.17/43.56 cyclic( Y, X, T, Z ) }.
% 43.17/43.56 parent0: (56197) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 43.17/43.56 , Y, T, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56201) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 43.17/43.56 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 43.17/43.56 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 43.17/43.56 , X, Z, T ) }.
% 43.17/43.56 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 43.17/43.56 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (392) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 43.17/43.56 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 43.17/43.56 parent0: (56201) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 43.17/43.56 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := T
% 43.17/43.56 T := U
% 43.17/43.56 U := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 2
% 43.17/43.56 1 ==> 0
% 43.17/43.56 2 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56204) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 43.17/43.56 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 43.17/43.56 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 43.17/43.56 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 43.17/43.56 , Y, T, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := T
% 43.17/43.56 T := U
% 43.17/43.56 U := X
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := U
% 43.17/43.56 T := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (397) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 43.17/43.56 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 43.17/43.56 parent0: (56204) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 43.17/43.56 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56206) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 43.17/43.56 Y, T, T ) }.
% 43.17/43.56 parent0[0, 1]: (392) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 43.17/43.56 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (401) {G2,W10,D2,L2,V4,M2} F(392) { ! cyclic( X, Y, Z, T ),
% 43.17/43.56 cyclic( Z, Y, T, T ) }.
% 43.17/43.56 parent0: (56206) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 43.17/43.56 , Y, T, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56207) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol22, skol20,
% 43.17/43.56 skol23 ) }.
% 43.17/43.56 parent0[0]: (121) {G0,W5,D2,L1,V0,M1} I { ! cong( skol23, skol22, skol23,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 43.17/43.56 , T, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := skol23
% 43.17/43.56 Y := skol22
% 43.17/43.56 Z := skol20
% 43.17/43.56 T := skol23
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (449) {G1,W5,D2,L1,V0,M1} R(22,121) { ! cong( skol23, skol22,
% 43.17/43.56 skol20, skol23 ) }.
% 43.17/43.56 parent0: (56207) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol22, skol20,
% 43.17/43.56 skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56208) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol23,
% 43.17/43.56 skol22 ) }.
% 43.17/43.56 parent0[0]: (449) {G1,W5,D2,L1,V0,M1} R(22,121) { ! cong( skol23, skol22,
% 43.17/43.56 skol20, skol23 ) }.
% 43.17/43.56 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 43.17/43.56 , X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := skol20
% 43.17/43.56 Y := skol23
% 43.17/43.56 Z := skol23
% 43.17/43.56 T := skol22
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (480) {G2,W5,D2,L1,V0,M1} R(23,449) { ! cong( skol20, skol23,
% 43.17/43.56 skol23, skol22 ) }.
% 43.17/43.56 parent0: (56208) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol23,
% 43.17/43.56 skol22 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56210) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z,
% 43.17/43.56 T, X, Y ) }.
% 43.17/43.56 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 43.17/43.56 , T, Z ) }.
% 43.17/43.56 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 43.17/43.56 , X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := T
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (482) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 43.17/43.56 cong( Z, T, Y, X ) }.
% 43.17/43.56 parent0: (56210) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z, T,
% 43.17/43.56 X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := T
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56211) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol22,
% 43.17/43.56 skol23 ) }.
% 43.17/43.56 parent0[0]: (480) {G2,W5,D2,L1,V0,M1} R(23,449) { ! cong( skol20, skol23,
% 43.17/43.56 skol23, skol22 ) }.
% 43.17/43.56 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 43.17/43.56 , T, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := skol20
% 43.17/43.56 Y := skol23
% 43.17/43.56 Z := skol22
% 43.17/43.56 T := skol23
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (492) {G3,W5,D2,L1,V0,M1} R(480,22) { ! cong( skol20, skol23,
% 43.17/43.56 skol22, skol23 ) }.
% 43.17/43.56 parent0: (56211) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol22,
% 43.17/43.56 skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56212) {G1,W10,D2,L2,V2,M2} { ! cong( skol20, skol23, X, Y )
% 43.17/43.56 , ! cong( X, Y, skol22, skol23 ) }.
% 43.17/43.56 parent0[0]: (492) {G3,W5,D2,L1,V0,M1} R(480,22) { ! cong( skol20, skol23,
% 43.17/43.56 skol22, skol23 ) }.
% 43.17/43.56 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 43.17/43.56 W, Z, T ), cong( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := skol20
% 43.17/43.56 Y := skol23
% 43.17/43.56 Z := skol22
% 43.17/43.56 T := skol23
% 43.17/43.56 U := X
% 43.17/43.56 W := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (499) {G4,W10,D2,L2,V2,M2} R(24,492) { ! cong( skol20, skol23
% 43.17/43.56 , X, Y ), ! cong( X, Y, skol22, skol23 ) }.
% 43.17/43.56 parent0: (56212) {G1,W10,D2,L2,V2,M2} { ! cong( skol20, skol23, X, Y ), !
% 43.17/43.56 cong( X, Y, skol22, skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56213) {G1,W14,D2,L2,V6,M2} { para( X, Y, U, W ), ! eqangle(
% 43.17/43.56 Z, T, X, Y, Z, T, U, W ) }.
% 43.17/43.56 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 43.17/43.56 ), para( X, Y, Z, T ) }.
% 43.17/43.56 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 43.17/43.56 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := U
% 43.17/43.56 T := W
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Z
% 43.17/43.56 Y := T
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 V0 := U
% 43.17/43.56 V1 := W
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (722) {G1,W14,D2,L2,V6,M2} R(38,18) { para( X, Y, Z, T ), !
% 43.17/43.56 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 43.17/43.56 parent0: (56213) {G1,W14,D2,L2,V6,M2} { para( X, Y, U, W ), ! eqangle( Z,
% 43.17/43.56 T, X, Y, Z, T, U, W ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := U
% 43.17/43.56 T := W
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56214) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 43.17/43.56 ), ! para( X, Y, U, W ) }.
% 43.17/43.56 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 43.17/43.56 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 43.17/43.56 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 43.17/43.56 , Y, U, W, Z, T, U, W ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 U := U
% 43.17/43.56 W := W
% 43.17/43.56 V0 := Z
% 43.17/43.56 V1 := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := U
% 43.17/43.56 T := W
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (734) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 43.17/43.56 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 43.17/43.56 parent0: (56214) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 43.17/43.56 , ! para( X, Y, U, W ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := U
% 43.17/43.56 T := W
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56215) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 43.17/43.56 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 43.17/43.56 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 43.17/43.56 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 43.17/43.56 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 43.17/43.56 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := X
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := T
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := T
% 43.17/43.56 T := Z
% 43.17/43.56 U := X
% 43.17/43.56 W := Y
% 43.17/43.56 V0 := X
% 43.17/43.56 V1 := Z
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (781) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 43.17/43.56 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 43.17/43.56 parent0: (56215) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 43.17/43.56 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := T
% 43.17/43.56 Z := Z
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56216) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 43.17/43.56 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 43.17/43.56 cyclic( X, Y, Z, T ) }.
% 43.17/43.56 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 43.17/43.56 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 43.17/43.56 ), cong( X, Y, Z, T ) }.
% 43.17/43.56 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 43.17/43.56 Z, X, Z, Y, T, X, T, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := X
% 43.17/43.56 T := Y
% 43.17/43.56 U := Z
% 43.17/43.56 W := T
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56218) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 43.17/43.56 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 43.17/43.56 parent0[0, 2]: (56216) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 43.17/43.56 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 43.17/43.56 cyclic( X, Y, Z, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (837) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 43.17/43.56 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 43.17/43.56 parent0: (56218) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 43.17/43.56 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 3
% 43.17/43.56 3 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56223) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 43.17/43.56 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 43.17/43.56 parent0[0, 2]: (837) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 43.17/43.56 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (870) {G2,W15,D2,L3,V3,M3} F(837) { ! cyclic( X, Y, Z, X ), !
% 43.17/43.56 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 43.17/43.56 parent0: (56223) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 43.17/43.56 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56225) {G3,W8,D2,L2,V2,M2} { coll( skol20, X, skol23 ), !
% 43.17/43.56 coll( X, skol23, Y ) }.
% 43.17/43.56 parent0[0]: (247) {G4,W8,D2,L2,V1,M2} R(168,2) { ! coll( skol23, skol23, X
% 43.17/43.56 ), coll( skol20, X, skol23 ) }.
% 43.17/43.56 parent1[0]: (164) {G2,W8,D2,L2,V3,M2} R(122,0) { coll( X, X, Y ), ! coll( Y
% 43.17/43.56 , X, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := skol23
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (2880) {G5,W8,D2,L2,V2,M2} R(247,164) { coll( skol20, X,
% 43.17/43.56 skol23 ), ! coll( X, skol23, Y ) }.
% 43.17/43.56 parent0: (56225) {G3,W8,D2,L2,V2,M2} { coll( skol20, X, skol23 ), ! coll(
% 43.17/43.56 X, skol23, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56226) {G1,W8,D2,L2,V3,M2} { coll( X, X, Z ), ! alpha1( X, T
% 43.17/43.56 , Z ) }.
% 43.17/43.56 parent0[0]: (170) {G2,W8,D2,L2,V3,M2} R(1,122) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , Z, Y ) }.
% 43.17/43.56 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 43.17/43.56 ( X, T, Z ), Z, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol11( X, Y, Z )
% 43.17/43.56 Y := Z
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := T
% 43.17/43.56 Z := Z
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (3984) {G3,W8,D2,L2,V3,M2} R(97,170) { ! alpha1( X, Y, Z ),
% 43.17/43.56 coll( X, X, Z ) }.
% 43.17/43.56 parent0: (56226) {G1,W8,D2,L2,V3,M2} { coll( X, X, Z ), ! alpha1( X, T, Z
% 43.17/43.56 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := T
% 43.17/43.56 Z := Z
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56228) {G3,W8,D2,L2,V2,M2} { coll( X, X, skol20 ), ! coll( X
% 43.17/43.56 , skol23, Y ) }.
% 43.17/43.56 parent0[1]: (164) {G2,W8,D2,L2,V3,M2} R(122,0) { coll( X, X, Y ), ! coll( Y
% 43.17/43.56 , X, Z ) }.
% 43.17/43.56 parent1[0]: (2880) {G5,W8,D2,L2,V2,M2} R(247,164) { coll( skol20, X, skol23
% 43.17/43.56 ), ! coll( X, skol23, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := skol20
% 43.17/43.56 Z := skol23
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (7538) {G6,W8,D2,L2,V2,M2} R(2880,164) { ! coll( X, skol23, Y
% 43.17/43.56 ), coll( X, X, skol20 ) }.
% 43.17/43.56 parent0: (56228) {G3,W8,D2,L2,V2,M2} { coll( X, X, skol20 ), ! coll( X,
% 43.17/43.56 skol23, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56229) {G3,W8,D2,L2,V2,M2} { coll( X, X, skol20 ), ! coll(
% 43.17/43.56 skol23, Y, X ) }.
% 43.17/43.56 parent0[0]: (7538) {G6,W8,D2,L2,V2,M2} R(2880,164) { ! coll( X, skol23, Y )
% 43.17/43.56 , coll( X, X, skol20 ) }.
% 43.17/43.56 parent1[1]: (165) {G2,W8,D2,L2,V3,M2} R(122,0) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , X, Z ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := X
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := skol23
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (8432) {G7,W8,D2,L2,V2,M2} R(7538,165) { coll( X, X, skol20 )
% 43.17/43.56 , ! coll( skol23, Y, X ) }.
% 43.17/43.56 parent0: (56229) {G3,W8,D2,L2,V2,M2} { coll( X, X, skol20 ), ! coll(
% 43.17/43.56 skol23, Y, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56230) {G2,W16,D2,L4,V4,M4} { coll( Y, skol20, X ), ! coll( Y
% 43.17/43.56 , Z, X ), ! coll( Y, Z, X ), ! coll( skol23, T, X ) }.
% 43.17/43.56 parent0[0]: (184) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( T
% 43.17/43.56 , Z, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 43.17/43.56 parent1[0]: (8432) {G7,W8,D2,L2,V2,M2} R(7538,165) { coll( X, X, skol20 ),
% 43.17/43.56 ! coll( skol23, Y, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := X
% 43.17/43.56 Z := skol20
% 43.17/43.56 T := Y
% 43.17/43.56 U := Z
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56237) {G2,W12,D2,L3,V4,M3} { coll( X, skol20, Y ), ! coll( X, Z
% 43.17/43.56 , Y ), ! coll( skol23, T, Y ) }.
% 43.17/43.56 parent0[1, 2]: (56230) {G2,W16,D2,L4,V4,M4} { coll( Y, skol20, X ), ! coll
% 43.17/43.56 ( Y, Z, X ), ! coll( Y, Z, X ), ! coll( skol23, T, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (8526) {G8,W12,D2,L3,V4,M3} R(184,8432);f { coll( X, skol20, Y
% 43.17/43.56 ), ! coll( X, Z, Y ), ! coll( skol23, T, Y ) }.
% 43.17/43.56 parent0: (56237) {G2,W12,D2,L3,V4,M3} { coll( X, skol20, Y ), ! coll( X, Z
% 43.17/43.56 , Y ), ! coll( skol23, T, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := Z
% 43.17/43.56 T := T
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 2 ==> 2
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56239) {G8,W8,D2,L2,V2,M2} { coll( skol23, skol20, X ), ! coll(
% 43.17/43.56 skol23, Y, X ) }.
% 43.17/43.56 parent0[1, 2]: (8526) {G8,W12,D2,L3,V4,M3} R(184,8432);f { coll( X, skol20
% 43.17/43.56 , Y ), ! coll( X, Z, Y ), ! coll( skol23, T, Y ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol23
% 43.17/43.56 Y := X
% 43.17/43.56 Z := Y
% 43.17/43.56 T := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (8654) {G9,W8,D2,L2,V2,M2} F(8526) { coll( skol23, skol20, X )
% 43.17/43.56 , ! coll( skol23, Y, X ) }.
% 43.17/43.56 parent0: (56239) {G8,W8,D2,L2,V2,M2} { coll( skol23, skol20, X ), ! coll(
% 43.17/43.56 skol23, Y, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56240) {G2,W12,D2,L3,V2,M3} { coll( skol23, X, skol20 ), !
% 43.17/43.56 coll( X, Y, skol20 ), ! coll( Y, X, skol20 ) }.
% 43.17/43.56 parent0[0]: (196) {G3,W8,D2,L2,V1,M2} R(2,163) { ! coll( skol20, skol20, X
% 43.17/43.56 ), coll( skol23, X, skol20 ) }.
% 43.17/43.56 parent1[1]: (195) {G1,W12,D2,L3,V4,M3} R(2,1) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , T, X ), ! coll( Y, X, T ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 Z := skol20
% 43.17/43.56 T := skol20
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56244) {G1,W12,D2,L3,V2,M3} { coll( skol23, X, skol20 ), !
% 43.17/43.56 coll( Y, X, skol20 ), ! coll( Y, X, skol20 ) }.
% 43.17/43.56 parent0[1]: (56240) {G2,W12,D2,L3,V2,M3} { coll( skol23, X, skol20 ), !
% 43.17/43.56 coll( X, Y, skol20 ), ! coll( Y, X, skol20 ) }.
% 43.17/43.56 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 Z := skol20
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 factor: (56246) {G1,W8,D2,L2,V2,M2} { coll( skol23, X, skol20 ), ! coll( Y
% 43.17/43.56 , X, skol20 ) }.
% 43.17/43.56 parent0[1, 2]: (56244) {G1,W12,D2,L3,V2,M3} { coll( skol23, X, skol20 ), !
% 43.17/43.56 coll( Y, X, skol20 ), ! coll( Y, X, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (9987) {G4,W8,D2,L2,V2,M2} R(196,195);r(1) { coll( skol23, X,
% 43.17/43.56 skol20 ), ! coll( Y, X, skol20 ) }.
% 43.17/43.56 parent0: (56246) {G1,W8,D2,L2,V2,M2} { coll( skol23, X, skol20 ), ! coll(
% 43.17/43.56 Y, X, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56249) {G3,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll( Y
% 43.17/43.56 , X, skol20 ) }.
% 43.17/43.56 parent0[1]: (164) {G2,W8,D2,L2,V3,M2} R(122,0) { coll( X, X, Y ), ! coll( Y
% 43.17/43.56 , X, Z ) }.
% 43.17/43.56 parent1[0]: (9987) {G4,W8,D2,L2,V2,M2} R(196,195);r(1) { coll( skol23, X,
% 43.17/43.56 skol20 ), ! coll( Y, X, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := skol23
% 43.17/43.56 Z := skol20
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (10021) {G5,W8,D2,L2,V2,M2} R(9987,164) { ! coll( X, Y, skol20
% 43.17/43.56 ), coll( Y, Y, skol23 ) }.
% 43.17/43.56 parent0: (56249) {G3,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll( Y, X
% 43.17/43.56 , skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := Y
% 43.17/43.56 Y := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 1
% 43.17/43.56 1 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56250) {G2,W8,D2,L2,V2,M2} { coll( X, skol25, skol23 ), !
% 43.17/43.56 coll( skol23, Y, X ) }.
% 43.17/43.56 parent0[0]: (210) {G1,W8,D2,L2,V1,M2} R(2,120) { ! coll( skol23, skol20, X
% 43.17/43.56 ), coll( X, skol25, skol23 ) }.
% 43.17/43.56 parent1[0]: (8654) {G9,W8,D2,L2,V2,M2} F(8526) { coll( skol23, skol20, X )
% 43.17/43.56 , ! coll( skol23, Y, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (13635) {G10,W8,D2,L2,V2,M2} R(210,8654) { coll( X, skol25,
% 43.17/43.56 skol23 ), ! coll( skol23, Y, X ) }.
% 43.17/43.56 parent0: (56250) {G2,W8,D2,L2,V2,M2} { coll( X, skol25, skol23 ), ! coll(
% 43.17/43.56 skol23, Y, X ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 1 ==> 1
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56251) {G2,W5,D2,L1,V0,M1} { para( skol20, skol24, skol24,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 parent0[0]: (243) {G1,W10,D2,L2,V2,M2} R(5,119) { ! para( skol23, skol22, X
% 43.17/43.56 , Y ), para( skol20, skol24, X, Y ) }.
% 43.17/43.56 parent1[0]: (269) {G2,W5,D2,L1,V0,M1} R(229,3) { para( skol23, skol22,
% 43.17/43.56 skol24, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol24
% 43.17/43.56 Y := skol20
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (15274) {G3,W5,D2,L1,V0,M1} R(243,269) { para( skol20, skol24
% 43.17/43.56 , skol24, skol20 ) }.
% 43.17/43.56 parent0: (56251) {G2,W5,D2,L1,V0,M1} { para( skol20, skol24, skol24,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56252) {G2,W5,D2,L1,V0,M1} { para( skol24, skol20, skol24,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 parent0[0]: (228) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 43.17/43.56 ( Z, T, Y, X ) }.
% 43.17/43.56 parent1[0]: (15274) {G3,W5,D2,L1,V0,M1} R(243,269) { para( skol20, skol24,
% 43.17/43.56 skol24, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol20
% 43.17/43.56 Y := skol24
% 43.17/43.56 Z := skol24
% 43.17/43.56 T := skol20
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (15276) {G4,W5,D2,L1,V0,M1} R(15274,228) { para( skol24,
% 43.17/43.56 skol20, skol24, skol20 ) }.
% 43.17/43.56 parent0: (56252) {G2,W5,D2,L1,V0,M1} { para( skol24, skol20, skol24,
% 43.17/43.56 skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56253) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol20 )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 43.17/43.56 Z ) }.
% 43.17/43.56 parent1[0]: (15276) {G4,W5,D2,L1,V0,M1} R(15274,228) { para( skol24, skol20
% 43.17/43.56 , skol24, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol24
% 43.17/43.56 Y := skol20
% 43.17/43.56 Z := skol20
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (15287) {G5,W4,D2,L1,V0,M1} R(15276,66) { coll( skol24, skol20
% 43.17/43.56 , skol20 ) }.
% 43.17/43.56 parent0: (56253) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56254) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol20 )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0]: (165) {G2,W8,D2,L2,V3,M2} R(122,0) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , X, Z ) }.
% 43.17/43.56 parent1[0]: (15287) {G5,W4,D2,L1,V0,M1} R(15276,66) { coll( skol24, skol20
% 43.17/43.56 , skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol24
% 43.17/43.56 Y := skol20
% 43.17/43.56 Z := skol20
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (15302) {G6,W4,D2,L1,V0,M1} R(15287,165) { coll( skol20,
% 43.17/43.56 skol24, skol20 ) }.
% 43.17/43.56 parent0: (56254) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56255) {G6,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol23 )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0]: (10021) {G5,W8,D2,L2,V2,M2} R(9987,164) { ! coll( X, Y, skol20
% 43.17/43.56 ), coll( Y, Y, skol23 ) }.
% 43.17/43.56 parent1[0]: (15302) {G6,W4,D2,L1,V0,M1} R(15287,165) { coll( skol20, skol24
% 43.17/43.56 , skol20 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol20
% 43.17/43.56 Y := skol24
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (15310) {G7,W4,D2,L1,V0,M1} R(15302,10021) { coll( skol24,
% 43.17/43.56 skol24, skol23 ) }.
% 43.17/43.56 parent0: (56255) {G6,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56256) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol24 )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0]: (170) {G2,W8,D2,L2,V3,M2} R(1,122) { ! coll( X, Y, Z ), coll( Z
% 43.17/43.56 , Z, Y ) }.
% 43.17/43.56 parent1[0]: (15310) {G7,W4,D2,L1,V0,M1} R(15302,10021) { coll( skol24,
% 43.17/43.56 skol24, skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol24
% 43.17/43.56 Y := skol24
% 43.17/43.56 Z := skol23
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (15371) {G8,W4,D2,L1,V0,M1} R(15310,170) { coll( skol23,
% 43.17/43.56 skol23, skol24 ) }.
% 43.17/43.56 parent0: (56256) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56257) {G9,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol23 )
% 43.17/43.56 }.
% 43.17/43.56 parent0[1]: (13635) {G10,W8,D2,L2,V2,M2} R(210,8654) { coll( X, skol25,
% 43.17/43.56 skol23 ), ! coll( skol23, Y, X ) }.
% 43.17/43.56 parent1[0]: (15371) {G8,W4,D2,L1,V0,M1} R(15310,170) { coll( skol23, skol23
% 43.17/43.56 , skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol24
% 43.17/43.56 Y := skol23
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (16683) {G11,W4,D2,L1,V0,M1} R(13635,15371) { coll( skol24,
% 43.17/43.56 skol25, skol23 ) }.
% 43.17/43.56 parent0: (56257) {G9,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56258) {G12,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol25 )
% 43.17/43.56 }.
% 43.17/43.56 parent0[0]: (364) {G11,W8,D2,L2,V3,M2} R(361,170) { ! coll( X, Y, Z ), coll
% 43.17/43.56 ( X, X, Y ) }.
% 43.17/43.56 parent1[0]: (16683) {G11,W4,D2,L1,V0,M1} R(13635,15371) { coll( skol24,
% 43.17/43.56 skol25, skol23 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol24
% 43.17/43.56 Y := skol25
% 43.17/43.56 Z := skol23
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (17074) {G12,W4,D2,L1,V0,M1} R(16683,364) { coll( skol24,
% 43.17/43.56 skol24, skol25 ) }.
% 43.17/43.56 parent0: (56258) {G12,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol25 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56259) {G1,W5,D2,L1,V0,M1} { para( skol25, skol20, skol25,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 parent0[1]: (722) {G1,W14,D2,L2,V6,M2} R(38,18) { para( X, Y, Z, T ), !
% 43.17/43.56 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 43.17/43.56 parent1[0]: (118) {G0,W9,D2,L1,V0,M1} I { eqangle( skol22, skol25, skol25,
% 43.17/43.56 skol20, skol22, skol25, skol25, skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol25
% 43.17/43.56 Y := skol20
% 43.17/43.56 Z := skol25
% 43.17/43.56 T := skol24
% 43.17/43.56 U := skol22
% 43.17/43.56 W := skol25
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (45625) {G2,W5,D2,L1,V0,M1} R(722,118) { para( skol25, skol20
% 43.17/43.56 , skol25, skol24 ) }.
% 43.17/43.56 parent0: (56259) {G1,W5,D2,L1,V0,M1} { para( skol25, skol20, skol25,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56260) {G3,W5,D2,L1,V0,M1} { para( skol25, skol24, skol25,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 parent0[0]: (246) {G2,W10,D2,L2,V4,M2} F(238) { ! para( X, Y, Z, T ), para
% 43.17/43.56 ( Z, T, Z, T ) }.
% 43.17/43.56 parent1[0]: (45625) {G2,W5,D2,L1,V0,M1} R(722,118) { para( skol25, skol20,
% 43.17/43.56 skol25, skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol25
% 43.17/43.56 Y := skol20
% 43.17/43.56 Z := skol25
% 43.17/43.56 T := skol24
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (45645) {G3,W5,D2,L1,V0,M1} R(45625,246) { para( skol25,
% 43.17/43.56 skol24, skol25, skol24 ) }.
% 43.17/43.56 parent0: (56260) {G3,W5,D2,L1,V0,M1} { para( skol25, skol24, skol25,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56261) {G2,W5,D2,L1,V0,M1} { para( skol25, skol24, skol24,
% 43.17/43.56 skol25 ) }.
% 43.17/43.56 parent0[0]: (228) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 43.17/43.56 ( Z, T, Y, X ) }.
% 43.17/43.56 parent1[0]: (45645) {G3,W5,D2,L1,V0,M1} R(45625,246) { para( skol25, skol24
% 43.17/43.56 , skol25, skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol25
% 43.17/43.56 Y := skol24
% 43.17/43.56 Z := skol25
% 43.17/43.56 T := skol24
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (45671) {G4,W5,D2,L1,V0,M1} R(45645,228) { para( skol25,
% 43.17/43.56 skol24, skol24, skol25 ) }.
% 43.17/43.56 parent0: (56261) {G2,W5,D2,L1,V0,M1} { para( skol25, skol24, skol24,
% 43.17/43.56 skol25 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56262) {G3,W5,D2,L1,V0,M1} { para( skol24, skol25, skol24,
% 43.17/43.56 skol25 ) }.
% 43.17/43.56 parent0[0]: (246) {G2,W10,D2,L2,V4,M2} F(238) { ! para( X, Y, Z, T ), para
% 43.17/43.56 ( Z, T, Z, T ) }.
% 43.17/43.56 parent1[0]: (45671) {G4,W5,D2,L1,V0,M1} R(45645,228) { para( skol25, skol24
% 43.17/43.56 , skol24, skol25 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol25
% 43.17/43.56 Y := skol24
% 43.17/43.56 Z := skol24
% 43.17/43.56 T := skol25
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (45677) {G5,W5,D2,L1,V0,M1} R(45671,246) { para( skol24,
% 43.17/43.56 skol25, skol24, skol25 ) }.
% 43.17/43.56 parent0: (56262) {G3,W5,D2,L1,V0,M1} { para( skol24, skol25, skol24,
% 43.17/43.56 skol25 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56263) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol24, skol25, X
% 43.17/43.56 , Y, skol24, skol25 ) }.
% 43.17/43.56 parent0[0]: (734) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 43.17/43.56 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 43.17/43.56 parent1[0]: (45677) {G5,W5,D2,L1,V0,M1} R(45671,246) { para( skol24, skol25
% 43.17/43.56 , skol24, skol25 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol24
% 43.17/43.56 Y := skol25
% 43.17/43.56 Z := skol24
% 43.17/43.56 T := skol25
% 43.17/43.56 U := X
% 43.17/43.56 W := Y
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (47009) {G6,W9,D2,L1,V2,M1} R(734,45677) { eqangle( X, Y,
% 43.17/43.56 skol24, skol25, X, Y, skol24, skol25 ) }.
% 43.17/43.56 parent0: (56263) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol24, skol25, X, Y
% 43.17/43.56 , skol24, skol25 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 Y := Y
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56264) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol24,
% 43.17/43.56 skol24 ), ! eqangle( skol24, X, skol24, skol25, skol24, X, skol24, skol25
% 43.17/43.56 ) }.
% 43.17/43.56 parent0[0]: (781) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 43.17/43.56 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 43.17/43.56 parent1[0]: (17074) {G12,W4,D2,L1,V0,M1} R(16683,364) { coll( skol24,
% 43.17/43.56 skol24, skol25 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol24
% 43.17/43.56 Y := skol24
% 43.17/43.56 Z := skol25
% 43.17/43.56 T := X
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56265) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol24,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 parent0[1]: (56264) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol24,
% 43.17/43.56 skol24 ), ! eqangle( skol24, X, skol24, skol25, skol24, X, skol24, skol25
% 43.17/43.56 ) }.
% 43.17/43.56 parent1[0]: (47009) {G6,W9,D2,L1,V2,M1} R(734,45677) { eqangle( X, Y,
% 43.17/43.56 skol24, skol25, X, Y, skol24, skol25 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := skol24
% 43.17/43.56 Y := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (50243) {G13,W5,D2,L1,V1,M1} R(781,17074);r(47009) { cyclic( X
% 43.17/43.56 , skol25, skol24, skol24 ) }.
% 43.17/43.56 parent0: (56265) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol24, skol24 )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56266) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol24,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 parent0[1]: (379) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 43.17/43.56 cyclic( Y, X, T, Z ) }.
% 43.17/43.56 parent1[0]: (50243) {G13,W5,D2,L1,V1,M1} R(781,17074);r(47009) { cyclic( X
% 43.17/43.56 , skol25, skol24, skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol25
% 43.17/43.56 Y := X
% 43.17/43.56 Z := skol24
% 43.17/43.56 T := skol24
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (50348) {G14,W5,D2,L1,V1,M1} R(50243,379) { cyclic( skol25, X
% 43.17/43.56 , skol24, skol24 ) }.
% 43.17/43.56 parent0: (56266) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol24, skol24 )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56 permutation0:
% 43.17/43.56 0 ==> 0
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 resolution: (56267) {G3,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol24,
% 43.17/43.56 skol24 ) }.
% 43.17/43.56 parent0[0]: (401) {G2,W10,D2,L2,V4,M2} F(392) { ! cyclic( X, Y, Z, T ),
% 43.17/43.56 cyclic( Z, Y, T, T ) }.
% 43.17/43.56 parent1[0]: (50348) {G14,W5,D2,L1,V1,M1} R(50243,379) { cyclic( skol25, X,
% 43.17/43.56 skol24, skol24 ) }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := skol25
% 43.17/43.56 Y := X
% 43.17/43.56 Z := skol24
% 43.17/43.56 T := skol24
% 43.17/43.56 end
% 43.17/43.56 substitution1:
% 43.17/43.56 X := X
% 43.17/43.56 end
% 43.17/43.56
% 43.17/43.56 subsumption: (50360) {G15,W5,D2,L1,V1,M1} R(50348,401) { cyclic( skol24, X
% 43.17/43.56 , skol24, skol24 ) }.
% 43.17/43.56 parent0: (56267) {G3,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol24, skol24 )
% 43.17/43.56 }.
% 43.17/43.56 substitution0:
% 43.17/43.56 X := X
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56268) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, skol24, X,
% 43.17/43.57 skol24 ) }.
% 43.17/43.57 parent0[1]: (377) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 43.17/43.57 cyclic( Y, Z, X, T ) }.
% 43.17/43.57 parent1[0]: (50360) {G15,W5,D2,L1,V1,M1} R(50348,401) { cyclic( skol24, X,
% 43.17/43.57 skol24, skol24 ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := skol24
% 43.17/43.57 Y := skol24
% 43.17/43.57 Z := X
% 43.17/43.57 T := skol24
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (50382) {G16,W5,D2,L1,V1,M1} R(50360,377) { cyclic( skol24,
% 43.17/43.57 skol24, X, skol24 ) }.
% 43.17/43.57 parent0: (56268) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, skol24, X, skol24 )
% 43.17/43.57 }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56269) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, skol24, skol24,
% 43.17/43.57 X ) }.
% 43.17/43.57 parent0[0]: (363) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 43.17/43.57 cyclic( X, Z, T, Y ) }.
% 43.17/43.57 parent1[0]: (50360) {G15,W5,D2,L1,V1,M1} R(50348,401) { cyclic( skol24, X,
% 43.17/43.57 skol24, skol24 ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := skol24
% 43.17/43.57 Y := X
% 43.17/43.57 Z := skol24
% 43.17/43.57 T := skol24
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (50383) {G16,W5,D2,L1,V1,M1} R(50360,363) { cyclic( skol24,
% 43.17/43.57 skol24, skol24, X ) }.
% 43.17/43.57 parent0: (56269) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, skol24, skol24, X )
% 43.17/43.57 }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56271) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol24, skol24,
% 43.17/43.57 skol24, X ), cyclic( skol24, skol24, X, Y ) }.
% 43.17/43.57 parent0[2]: (397) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 43.17/43.57 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 43.17/43.57 parent1[0]: (50382) {G16,W5,D2,L1,V1,M1} R(50360,377) { cyclic( skol24,
% 43.17/43.57 skol24, X, skol24 ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := skol24
% 43.17/43.57 Y := skol24
% 43.17/43.57 Z := skol24
% 43.17/43.57 T := X
% 43.17/43.57 U := Y
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56272) {G3,W5,D2,L1,V2,M1} { cyclic( skol24, skol24, X, Y )
% 43.17/43.57 }.
% 43.17/43.57 parent0[0]: (56271) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol24, skol24,
% 43.17/43.57 skol24, X ), cyclic( skol24, skol24, X, Y ) }.
% 43.17/43.57 parent1[0]: (50383) {G16,W5,D2,L1,V1,M1} R(50360,363) { cyclic( skol24,
% 43.17/43.57 skol24, skol24, X ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (50388) {G17,W5,D2,L1,V2,M1} R(50382,397);r(50383) { cyclic(
% 43.17/43.57 skol24, skol24, X, Y ) }.
% 43.17/43.57 parent0: (56272) {G3,W5,D2,L1,V2,M1} { cyclic( skol24, skol24, X, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56273) {G2,W10,D2,L2,V3,M2} { cyclic( skol24, X, Y, Z ), !
% 43.17/43.57 cyclic( skol24, skol24, Z, X ) }.
% 43.17/43.57 parent0[0]: (397) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 43.17/43.57 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 43.17/43.57 parent1[0]: (50388) {G17,W5,D2,L1,V2,M1} R(50382,397);r(50383) { cyclic(
% 43.17/43.57 skol24, skol24, X, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := skol24
% 43.17/43.57 Y := skol24
% 43.17/43.57 Z := X
% 43.17/43.57 T := Y
% 43.17/43.57 U := Z
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56275) {G3,W5,D2,L1,V3,M1} { cyclic( skol24, X, Y, Z ) }.
% 43.17/43.57 parent0[1]: (56273) {G2,W10,D2,L2,V3,M2} { cyclic( skol24, X, Y, Z ), !
% 43.17/43.57 cyclic( skol24, skol24, Z, X ) }.
% 43.17/43.57 parent1[0]: (50388) {G17,W5,D2,L1,V2,M1} R(50382,397);r(50383) { cyclic(
% 43.17/43.57 skol24, skol24, X, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := Z
% 43.17/43.57 Y := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (50521) {G18,W5,D2,L1,V3,M1} R(50388,397);r(50388) { cyclic(
% 43.17/43.57 skol24, X, Y, Z ) }.
% 43.17/43.57 parent0: (56275) {G3,W5,D2,L1,V3,M1} { cyclic( skol24, X, Y, Z ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56276) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 43.17/43.57 ( skol24, X, T, Y ) }.
% 43.17/43.57 parent0[0]: (397) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 43.17/43.57 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 43.17/43.57 parent1[0]: (50521) {G18,W5,D2,L1,V3,M1} R(50388,397);r(50388) { cyclic(
% 43.17/43.57 skol24, X, Y, Z ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := skol24
% 43.17/43.57 Y := X
% 43.17/43.57 Z := Y
% 43.17/43.57 T := Z
% 43.17/43.57 U := T
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56278) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 43.17/43.57 parent0[1]: (56276) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 43.17/43.57 ( skol24, X, T, Y ) }.
% 43.17/43.57 parent1[0]: (50521) {G18,W5,D2,L1,V3,M1} R(50388,397);r(50388) { cyclic(
% 43.17/43.57 skol24, X, Y, Z ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 T := T
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := T
% 43.17/43.57 Z := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (50540) {G19,W5,D2,L1,V4,M1} R(50521,397);r(50521) { cyclic( X
% 43.17/43.57 , Y, Z, T ) }.
% 43.17/43.57 parent0: (56278) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 T := T
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56281) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 43.17/43.57 , Y, X, Y ) }.
% 43.17/43.57 parent0[0]: (870) {G2,W15,D2,L3,V3,M3} F(837) { ! cyclic( X, Y, Z, X ), !
% 43.17/43.57 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 43.17/43.57 parent1[0]: (50540) {G19,W5,D2,L1,V4,M1} R(50521,397);r(50521) { cyclic( X
% 43.17/43.57 , Y, Z, T ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 T := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56283) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 43.17/43.57 parent0[0]: (56281) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 43.17/43.57 , Y, X, Y ) }.
% 43.17/43.57 parent1[0]: (50540) {G19,W5,D2,L1,V4,M1} R(50521,397);r(50521) { cyclic( X
% 43.17/43.57 , Y, Z, T ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 T := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55207) {G20,W5,D2,L1,V2,M1} S(870);r(50540);r(50540) { cong(
% 43.17/43.57 X, Y, X, Y ) }.
% 43.17/43.57 parent0: (56283) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56284) {G2,W5,D2,L1,V2,M1} { cong( X, Y, Y, X ) }.
% 43.17/43.57 parent0[0]: (482) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 43.17/43.57 cong( Z, T, Y, X ) }.
% 43.17/43.57 parent1[0]: (55207) {G20,W5,D2,L1,V2,M1} S(870);r(50540);r(50540) { cong( X
% 43.17/43.57 , Y, X, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := X
% 43.17/43.57 T := Y
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55210) {G21,W5,D2,L1,V2,M1} R(55207,482) { cong( X, Y, Y, X )
% 43.17/43.57 }.
% 43.17/43.57 parent0: (56284) {G2,W5,D2,L1,V2,M1} { cong( X, Y, Y, X ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56285) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 43.17/43.57 X, Y, Z ) }.
% 43.17/43.57 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 43.17/43.57 T, Y, T ), perp( X, Y, Z, T ) }.
% 43.17/43.57 parent1[0]: (55207) {G20,W5,D2,L1,V2,M1} S(870);r(50540);r(50540) { cong( X
% 43.17/43.57 , Y, X, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := X
% 43.17/43.57 Z := Y
% 43.17/43.57 T := Z
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56287) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 43.17/43.57 parent0[0]: (56285) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 43.17/43.57 X, Y, Z ) }.
% 43.17/43.57 parent1[0]: (55207) {G20,W5,D2,L1,V2,M1} S(870);r(50540);r(50540) { cong( X
% 43.17/43.57 , Y, X, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Z
% 43.17/43.57 Z := Y
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55224) {G21,W5,D2,L1,V3,M1} R(55207,56);r(55207) { perp( X, X
% 43.17/43.57 , Z, Y ) }.
% 43.17/43.57 parent0: (56287) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56288) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 43.17/43.57 X, T, U ) }.
% 43.17/43.57 parent0[0]: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 43.17/43.57 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 43.17/43.57 parent1[0]: (55224) {G21,W5,D2,L1,V3,M1} R(55207,56);r(55207) { perp( X, X
% 43.17/43.57 , Z, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := X
% 43.17/43.57 Z := Y
% 43.17/43.57 T := Z
% 43.17/43.57 U := T
% 43.17/43.57 W := U
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Z
% 43.17/43.57 Z := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56290) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 43.17/43.57 parent0[1]: (56288) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 43.17/43.57 X, T, U ) }.
% 43.17/43.57 parent1[0]: (55224) {G21,W5,D2,L1,V3,M1} R(55207,56);r(55207) { perp( X, X
% 43.17/43.57 , Z, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := U
% 43.17/43.57 Y := Z
% 43.17/43.57 Z := T
% 43.17/43.57 T := X
% 43.17/43.57 U := Y
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := U
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55249) {G22,W5,D2,L1,V4,M1} R(55224,279);r(55224) { para( X,
% 43.17/43.57 Y, Z, T ) }.
% 43.17/43.57 parent0: (56290) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 T := T
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56291) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 43.17/43.57 parent0[0]: (151) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 43.17/43.57 ( X, X, Z ) }.
% 43.17/43.57 parent1[0]: (55224) {G21,W5,D2,L1,V3,M1} R(55207,56);r(55207) { perp( X, X
% 43.17/43.57 , Z, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := X
% 43.17/43.57 Z := Y
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55251) {G22,W4,D2,L1,V2,M1} R(55224,151) { alpha1( X, X, Y )
% 43.17/43.57 }.
% 43.17/43.57 parent0: (56291) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56292) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 43.17/43.57 Y, T, U ) }.
% 43.17/43.57 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 43.17/43.57 , Z, T ), perp( X, Y, Z, T ) }.
% 43.17/43.57 parent1[0]: (55224) {G21,W5,D2,L1,V3,M1} R(55207,56);r(55207) { perp( X, X
% 43.17/43.57 , Z, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := T
% 43.17/43.57 T := U
% 43.17/43.57 U := Z
% 43.17/43.57 W := Z
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := Z
% 43.17/43.57 Y := U
% 43.17/43.57 Z := T
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56293) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 43.17/43.57 parent0[0]: (56292) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 43.17/43.57 Y, T, U ) }.
% 43.17/43.57 parent1[0]: (55249) {G22,W5,D2,L1,V4,M1} R(55224,279);r(55224) { para( X, Y
% 43.17/43.57 , Z, T ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 T := T
% 43.17/43.57 U := U
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 T := Z
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55271) {G23,W5,D2,L1,V4,M1} R(55224,9);r(55249) { perp( X, Y
% 43.17/43.57 , T, U ) }.
% 43.17/43.57 parent0: (56293) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := W
% 43.17/43.57 T := T
% 43.17/43.57 U := U
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56294) {G4,W4,D2,L1,V2,M1} { coll( X, X, Y ) }.
% 43.17/43.57 parent0[0]: (3984) {G3,W8,D2,L2,V3,M2} R(97,170) { ! alpha1( X, Y, Z ),
% 43.17/43.57 coll( X, X, Z ) }.
% 43.17/43.57 parent1[0]: (55251) {G22,W4,D2,L1,V2,M1} R(55224,151) { alpha1( X, X, Y )
% 43.17/43.57 }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := X
% 43.17/43.57 Z := Y
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55362) {G23,W4,D2,L1,V2,M1} R(55251,3984) { coll( X, X, Y )
% 43.17/43.57 }.
% 43.17/43.57 parent0: (56294) {G4,W4,D2,L1,V2,M1} { coll( X, X, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56295) {G12,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( X, X,
% 43.17/43.57 Y ) }.
% 43.17/43.57 parent0[1]: (365) {G11,W12,D2,L3,V4,M3} R(361,2) { coll( X, Y, Z ), ! coll
% 43.17/43.57 ( X, T, Z ), ! coll( X, T, Y ) }.
% 43.17/43.57 parent1[0]: (55362) {G23,W4,D2,L1,V2,M1} R(55251,3984) { coll( X, X, Y )
% 43.17/43.57 }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 T := X
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Z
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56297) {G13,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 43.17/43.57 parent0[1]: (56295) {G12,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( X, X,
% 43.17/43.57 Y ) }.
% 43.17/43.57 parent1[0]: (55362) {G23,W4,D2,L1,V2,M1} R(55251,3984) { coll( X, X, Y )
% 43.17/43.57 }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55366) {G24,W4,D2,L1,V3,M1} R(55362,365);r(55362) { coll( X,
% 43.17/43.57 Y, Z ) }.
% 43.17/43.57 parent0: (56297) {G13,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56298) {G1,W8,D2,L2,V1,M2} { ! coll( X, X, X ), midp( X, X, X
% 43.17/43.57 ) }.
% 43.17/43.57 parent0[0]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 43.17/43.57 Y, Z ), midp( X, Y, Z ) }.
% 43.17/43.57 parent1[0]: (55210) {G21,W5,D2,L1,V2,M1} R(55207,482) { cong( X, Y, Y, X )
% 43.17/43.57 }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := X
% 43.17/43.57 Z := X
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56299) {G2,W4,D2,L1,V1,M1} { midp( X, X, X ) }.
% 43.17/43.57 parent0[0]: (56298) {G1,W8,D2,L2,V1,M2} { ! coll( X, X, X ), midp( X, X, X
% 43.17/43.57 ) }.
% 43.17/43.57 parent1[0]: (55366) {G24,W4,D2,L1,V3,M1} R(55362,365);r(55362) { coll( X, Y
% 43.17/43.57 , Z ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := X
% 43.17/43.57 Z := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55403) {G25,W4,D2,L1,V1,M1} R(55210,67);r(55366) { midp( X, X
% 43.17/43.57 , X ) }.
% 43.17/43.57 parent0: (56299) {G2,W4,D2,L1,V1,M1} { midp( X, X, X ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56300) {G2,W9,D2,L2,V2,M2} { ! para( X, Y, X, Y ), midp( X, Y
% 43.17/43.57 , Y ) }.
% 43.17/43.57 parent0[0]: (138) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 43.17/43.57 , T, Z, T ), midp( X, T, T ) }.
% 43.17/43.57 parent1[0]: (55403) {G25,W4,D2,L1,V1,M1} R(55210,67);r(55366) { midp( X, X
% 43.17/43.57 , X ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := X
% 43.17/43.57 Z := X
% 43.17/43.57 T := Y
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56301) {G3,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 43.17/43.57 parent0[0]: (56300) {G2,W9,D2,L2,V2,M2} { ! para( X, Y, X, Y ), midp( X, Y
% 43.17/43.57 , Y ) }.
% 43.17/43.57 parent1[0]: (55249) {G22,W5,D2,L1,V4,M1} R(55224,279);r(55224) { para( X, Y
% 43.17/43.57 , Z, T ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := X
% 43.17/43.57 T := Y
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55408) {G26,W4,D2,L1,V2,M1} R(55403,138);r(55249) { midp( X,
% 43.17/43.57 Y, Y ) }.
% 43.17/43.57 parent0: (56301) {G3,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56302) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 43.17/43.57 Z, Y, Z ) }.
% 43.17/43.57 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 43.17/43.57 X, T ), cong( X, Z, Y, Z ) }.
% 43.17/43.57 parent1[0]: (55408) {G26,W4,D2,L1,V2,M1} R(55403,138);r(55249) { midp( X, Y
% 43.17/43.57 , Y ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 T := X
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := Z
% 43.17/43.57 Y := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56303) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 43.17/43.57 parent0[0]: (56302) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 43.17/43.57 Z, Y, Z ) }.
% 43.17/43.57 parent1[0]: (55271) {G23,W5,D2,L1,V4,M1} R(55224,9);r(55249) { perp( X, Y,
% 43.17/43.57 T, U ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := T
% 43.17/43.57 T := Y
% 43.17/43.57 U := X
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55419) {G27,W5,D2,L1,V3,M1} R(55408,52);r(55271) { cong( X, Z
% 43.17/43.57 , Y, Z ) }.
% 43.17/43.57 parent0: (56303) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := Y
% 43.17/43.57 Z := Z
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 0 ==> 0
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56304) {G5,W5,D2,L1,V1,M1} { ! cong( X, skol23, skol22,
% 43.17/43.57 skol23 ) }.
% 43.17/43.57 parent0[0]: (499) {G4,W10,D2,L2,V2,M2} R(24,492) { ! cong( skol20, skol23,
% 43.17/43.57 X, Y ), ! cong( X, Y, skol22, skol23 ) }.
% 43.17/43.57 parent1[0]: (55419) {G27,W5,D2,L1,V3,M1} R(55408,52);r(55271) { cong( X, Z
% 43.17/43.57 , Y, Z ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 Y := skol23
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := skol20
% 43.17/43.57 Y := X
% 43.17/43.57 Z := skol23
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 resolution: (56306) {G6,W0,D0,L0,V0,M0} { }.
% 43.17/43.57 parent0[0]: (56304) {G5,W5,D2,L1,V1,M1} { ! cong( X, skol23, skol22,
% 43.17/43.57 skol23 ) }.
% 43.17/43.57 parent1[0]: (55419) {G27,W5,D2,L1,V3,M1} R(55408,52);r(55271) { cong( X, Z
% 43.17/43.57 , Y, Z ) }.
% 43.17/43.57 substitution0:
% 43.17/43.57 X := X
% 43.17/43.57 end
% 43.17/43.57 substitution1:
% 43.17/43.57 X := X
% 43.17/43.57 Y := skol22
% 43.17/43.57 Z := skol23
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 subsumption: (55443) {G28,W0,D0,L0,V0,M0} R(55419,499);r(55419) { }.
% 43.17/43.57 parent0: (56306) {G6,W0,D0,L0,V0,M0} { }.
% 43.17/43.57 substitution0:
% 43.17/43.57 end
% 43.17/43.57 permutation0:
% 43.17/43.57 end
% 43.17/43.57
% 43.17/43.57 Proof check complete!
% 43.17/43.57
% 43.17/43.57 Memory use:
% 43.17/43.57
% 43.17/43.57 space for terms: 814374
% 43.17/43.57 space for clauses: 2061503
% 43.17/43.57
% 43.17/43.57
% 43.17/43.57 clauses generated: 623671
% 43.17/43.57 clauses kept: 55444
% 43.17/43.57 clauses selected: 2765
% 43.17/43.57 clauses deleted: 8191
% 43.17/43.57 clauses inuse deleted: 227
% 43.17/43.57
% 43.17/43.57 subsentry: 51157919
% 43.17/43.57 literals s-matched: 36299721
% 43.17/43.57 literals matched: 22457947
% 43.17/43.57 full subsumption: 3810612
% 43.17/43.57
% 43.17/43.57 checksum: -194181841
% 43.17/43.57
% 43.17/43.57
% 43.17/43.57 Bliksem ended
%------------------------------------------------------------------------------