TSTP Solution File: GEO587+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO587+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 02:54:55 EDT 2022
% Result : Theorem 4.17s 4.56s
% Output : Refutation 4.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO587+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 02:59:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 *** allocated 15000 integers for termspace/termends
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13
% 0.74/1.13 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.74/1.13 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.74/1.13 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.74/1.13 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.13 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.74/1.13 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.74/1.13 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.13 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.74/1.13 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.74/1.13 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.74/1.13 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.74/1.13 ( X, Y, Z, T ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.74/1.13 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.74/1.13 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.13 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.74/1.13 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.74/1.13 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.74/1.13 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.13 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.74/1.13 ( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.74/1.13 ( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.74/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.74/1.13 T ) }.
% 0.74/1.13 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.74/1.13 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.74/1.13 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.74/1.13 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.74/1.13 ) }.
% 0.74/1.13 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.74/1.13 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.74/1.13 }.
% 0.74/1.13 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.74/1.13 Z, Y ) }.
% 0.74/1.13 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.74/1.13 X, Z ) }.
% 0.74/1.13 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.74/1.13 U ) }.
% 0.74/1.13 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.74/1.13 , Z ), midp( Z, X, Y ) }.
% 0.74/1.13 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.74/1.13 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.74/1.13 Z, Y ) }.
% 0.74/1.13 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.74/1.13 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.74/1.13 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.74/1.13 ( Y, X, X, Z ) }.
% 0.74/1.13 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.74/1.13 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.74/1.13 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.74/1.13 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.74/1.13 , W ) }.
% 0.74/1.13 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.74/1.13 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.74/1.13 , Y ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.74/1.13 , X, Z, U, Y, Y, T ) }.
% 0.74/1.13 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.74/1.13 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.74/1.13 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.74/1.13 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.74/1.13 .
% 0.74/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.74/1.13 , Z, T ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.74/1.13 , Z, T ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.74/1.13 , Z, T ) }.
% 0.74/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.74/1.13 , W, Z, T ), Z, T ) }.
% 0.74/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.74/1.13 , Y, Z, T ), X, Y ) }.
% 0.74/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.74/1.13 , W, Z, T ), Z, T ) }.
% 0.74/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.13 skol2( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.74/1.13 , W, Z, T ), Z, T ) }.
% 0.74/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.13 skol3( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.74/1.13 , T ) }.
% 0.74/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.74/1.13 ) ) }.
% 0.74/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.74/1.13 skol5( W, Y, Z, T ) ) }.
% 0.74/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.74/1.13 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.74/1.13 , X, T ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.74/1.13 W, X, Z ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.74/1.13 , Y, T ) }.
% 0.74/1.13 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.74/1.13 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.74/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.13 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.74/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.13 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.74/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.74/1.13 Z, T ) ) }.
% 0.74/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.74/1.13 , T ) ) }.
% 0.74/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.74/1.13 , X, Y ) }.
% 0.74/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.74/1.13 ) }.
% 0.74/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.74/1.13 , Y ) }.
% 0.74/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.74/1.13 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.74/1.13 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.74/1.13 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.74/1.13 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.17/4.56 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.17/4.56 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.17/4.56 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.17/4.56 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.17/4.56 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.17/4.56 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.17/4.56 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.17/4.56 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.17/4.56 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.17/4.56 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.17/4.56 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.17/4.56 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.17/4.56 X, Y, Z ) }.
% 4.17/4.56 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.17/4.56 }.
% 4.17/4.56 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.17/4.56 ) }.
% 4.17/4.56 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.17/4.56 skol17( X, Y ), X, Y ) }.
% 4.17/4.56 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.17/4.56 }.
% 4.17/4.56 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.17/4.56 ) }.
% 4.17/4.56 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.17/4.56 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.17/4.56 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.17/4.56 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.17/4.56 { perp( skol24, skol25, skol26, skol27 ) }.
% 4.17/4.56 { midp( skol28, skol26, skol24 ) }.
% 4.17/4.56 { midp( skol29, skol25, skol26 ) }.
% 4.17/4.56 { midp( skol20, skol27, skol25 ) }.
% 4.17/4.56 { midp( skol22, skol24, skol27 ) }.
% 4.17/4.56 { coll( skol23, skol28, skol20 ) }.
% 4.17/4.56 { coll( skol23, skol29, skol22 ) }.
% 4.17/4.56 { ! cong( skol23, skol22, skol23, skol20 ) }.
% 4.17/4.56
% 4.17/4.56 percentage equality = 0.008772, percentage horn = 0.927419
% 4.17/4.56 This is a problem with some equality
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Options Used:
% 4.17/4.56
% 4.17/4.56 useres = 1
% 4.17/4.56 useparamod = 1
% 4.17/4.56 useeqrefl = 1
% 4.17/4.56 useeqfact = 1
% 4.17/4.56 usefactor = 1
% 4.17/4.56 usesimpsplitting = 0
% 4.17/4.56 usesimpdemod = 5
% 4.17/4.56 usesimpres = 3
% 4.17/4.56
% 4.17/4.56 resimpinuse = 1000
% 4.17/4.56 resimpclauses = 20000
% 4.17/4.56 substype = eqrewr
% 4.17/4.56 backwardsubs = 1
% 4.17/4.56 selectoldest = 5
% 4.17/4.56
% 4.17/4.56 litorderings [0] = split
% 4.17/4.56 litorderings [1] = extend the termordering, first sorting on arguments
% 4.17/4.56
% 4.17/4.56 termordering = kbo
% 4.17/4.56
% 4.17/4.56 litapriori = 0
% 4.17/4.56 termapriori = 1
% 4.17/4.56 litaposteriori = 0
% 4.17/4.56 termaposteriori = 0
% 4.17/4.56 demodaposteriori = 0
% 4.17/4.56 ordereqreflfact = 0
% 4.17/4.56
% 4.17/4.56 litselect = negord
% 4.17/4.56
% 4.17/4.56 maxweight = 15
% 4.17/4.56 maxdepth = 30000
% 4.17/4.56 maxlength = 115
% 4.17/4.56 maxnrvars = 195
% 4.17/4.56 excuselevel = 1
% 4.17/4.56 increasemaxweight = 1
% 4.17/4.56
% 4.17/4.56 maxselected = 10000000
% 4.17/4.56 maxnrclauses = 10000000
% 4.17/4.56
% 4.17/4.56 showgenerated = 0
% 4.17/4.56 showkept = 0
% 4.17/4.56 showselected = 0
% 4.17/4.56 showdeleted = 0
% 4.17/4.56 showresimp = 1
% 4.17/4.56 showstatus = 2000
% 4.17/4.56
% 4.17/4.56 prologoutput = 0
% 4.17/4.56 nrgoals = 5000000
% 4.17/4.56 totalproof = 1
% 4.17/4.56
% 4.17/4.56 Symbols occurring in the translation:
% 4.17/4.56
% 4.17/4.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.17/4.56 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 4.17/4.56 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 4.17/4.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.17/4.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.17/4.56 coll [38, 3] (w:1, o:67, a:1, s:1, b:0),
% 4.17/4.56 para [40, 4] (w:1, o:75, a:1, s:1, b:0),
% 4.17/4.56 perp [43, 4] (w:1, o:76, a:1, s:1, b:0),
% 4.17/4.56 midp [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 4.17/4.56 cong [47, 4] (w:1, o:77, a:1, s:1, b:0),
% 4.17/4.56 circle [48, 4] (w:1, o:78, a:1, s:1, b:0),
% 4.17/4.56 cyclic [49, 4] (w:1, o:79, a:1, s:1, b:0),
% 4.17/4.56 eqangle [54, 8] (w:1, o:94, a:1, s:1, b:0),
% 4.17/4.56 eqratio [57, 8] (w:1, o:95, a:1, s:1, b:0),
% 4.17/4.56 simtri [59, 6] (w:1, o:91, a:1, s:1, b:0),
% 4.17/4.56 contri [60, 6] (w:1, o:92, a:1, s:1, b:0),
% 4.17/4.56 alpha1 [65, 3] (w:1, o:69, a:1, s:1, b:1),
% 4.17/4.56 alpha2 [66, 4] (w:1, o:80, a:1, s:1, b:1),
% 4.17/4.56 skol1 [67, 4] (w:1, o:81, a:1, s:1, b:1),
% 4.17/4.56 skol2 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.17/4.56 skol3 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.17/4.56 skol4 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.17/4.56 skol5 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.17/4.56 skol6 [72, 6] (w:1, o:93, a:1, s:1, b:1),
% 4.17/4.56 skol7 [73, 2] (w:1, o:63, a:1, s:1, b:1),
% 4.17/4.56 skol8 [74, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.17/4.56 skol9 [75, 4] (w:1, o:89, a:1, s:1, b:1),
% 4.17/4.56 skol10 [76, 3] (w:1, o:70, a:1, s:1, b:1),
% 4.17/4.56 skol11 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 4.17/4.56 skol12 [78, 2] (w:1, o:64, a:1, s:1, b:1),
% 4.17/4.56 skol13 [79, 5] (w:1, o:90, a:1, s:1, b:1),
% 4.17/4.56 skol14 [80, 3] (w:1, o:72, a:1, s:1, b:1),
% 4.17/4.56 skol15 [81, 3] (w:1, o:73, a:1, s:1, b:1),
% 4.17/4.56 skol16 [82, 3] (w:1, o:74, a:1, s:1, b:1),
% 4.17/4.56 skol17 [83, 2] (w:1, o:65, a:1, s:1, b:1),
% 4.17/4.56 skol18 [84, 2] (w:1, o:66, a:1, s:1, b:1),
% 4.17/4.56 skol19 [85, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.17/4.56 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 4.17/4.56 skol21 [87, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.17/4.56 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 4.17/4.56 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 4.17/4.56 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 4.17/4.56 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 4.17/4.56 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 4.17/4.56 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 4.17/4.56 skol28 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 4.17/4.56 skol29 [95, 0] (w:1, o:33, a:1, s:1, b:1).
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Starting Search:
% 4.17/4.56
% 4.17/4.56 *** allocated 15000 integers for clauses
% 4.17/4.56 *** allocated 22500 integers for clauses
% 4.17/4.56 *** allocated 33750 integers for clauses
% 4.17/4.56 *** allocated 50625 integers for clauses
% 4.17/4.56 *** allocated 22500 integers for termspace/termends
% 4.17/4.56 *** allocated 75937 integers for clauses
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 33750 integers for termspace/termends
% 4.17/4.56 *** allocated 113905 integers for clauses
% 4.17/4.56 *** allocated 50625 integers for termspace/termends
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 9545
% 4.17/4.56 Kept: 2003
% 4.17/4.56 Inuse: 322
% 4.17/4.56 Deleted: 0
% 4.17/4.56 Deletedinuse: 0
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 170857 integers for clauses
% 4.17/4.56 *** allocated 75937 integers for termspace/termends
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 256285 integers for clauses
% 4.17/4.56 *** allocated 113905 integers for termspace/termends
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 17098
% 4.17/4.56 Kept: 4017
% 4.17/4.56 Inuse: 461
% 4.17/4.56 Deleted: 0
% 4.17/4.56 Deletedinuse: 0
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 384427 integers for clauses
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 170857 integers for termspace/termends
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 32315
% 4.17/4.56 Kept: 6027
% 4.17/4.56 Inuse: 541
% 4.17/4.56 Deleted: 0
% 4.17/4.56 Deletedinuse: 0
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 576640 integers for clauses
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 45212
% 4.17/4.56 Kept: 8063
% 4.17/4.56 Inuse: 670
% 4.17/4.56 Deleted: 1
% 4.17/4.56 Deletedinuse: 0
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 256285 integers for termspace/termends
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 60870
% 4.17/4.56 Kept: 10093
% 4.17/4.56 Inuse: 799
% 4.17/4.56 Deleted: 5
% 4.17/4.56 Deletedinuse: 3
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 864960 integers for clauses
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 71151
% 4.17/4.56 Kept: 12212
% 4.17/4.56 Inuse: 961
% 4.17/4.56 Deleted: 619
% 4.17/4.56 Deletedinuse: 474
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 80836
% 4.17/4.56 Kept: 14213
% 4.17/4.56 Inuse: 1093
% 4.17/4.56 Deleted: 706
% 4.17/4.56 Deletedinuse: 474
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 384427 integers for termspace/termends
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 92753
% 4.17/4.56 Kept: 16231
% 4.17/4.56 Inuse: 1213
% 4.17/4.56 Deleted: 1181
% 4.17/4.56 Deletedinuse: 474
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 *** allocated 1297440 integers for clauses
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 103149
% 4.17/4.56 Kept: 18231
% 4.17/4.56 Inuse: 1359
% 4.17/4.56 Deleted: 1322
% 4.17/4.56 Deletedinuse: 611
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying clauses:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 114417
% 4.17/4.56 Kept: 20241
% 4.17/4.56 Inuse: 1587
% 4.17/4.56 Deleted: 9413
% 4.17/4.56 Deletedinuse: 611
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Intermediate Status:
% 4.17/4.56 Generated: 124625
% 4.17/4.56 Kept: 22249
% 4.17/4.56 Inuse: 1726
% 4.17/4.56 Deleted: 9587
% 4.17/4.56 Deletedinuse: 770
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56 Resimplifying inuse:
% 4.17/4.56 Done
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Bliksems!, er is een bewijs:
% 4.17/4.56 % SZS status Theorem
% 4.17/4.56 % SZS output start Refutation
% 4.17/4.56
% 4.17/4.56 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.17/4.56 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.17/4.56 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 4.17/4.56 , Z, X ) }.
% 4.17/4.56 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 4.17/4.56 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 4.17/4.56 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 4.17/4.56 para( X, Y, Z, T ) }.
% 4.17/4.56 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.17/4.56 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 4.17/4.56 circle( T, X, Y, Z ) }.
% 4.17/4.56 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 4.17/4.56 }.
% 4.17/4.56 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 4.17/4.56 }.
% 4.17/4.56 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 4.17/4.56 }.
% 4.17/4.56 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 4.17/4.56 ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 4.17/4.56 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 4.17/4.56 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 4.17/4.56 cong( X, Y, Z, T ) }.
% 4.17/4.56 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 4.17/4.56 , T, U, W ) }.
% 4.17/4.56 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 4.17/4.56 T, X, T, Y ) }.
% 4.17/4.56 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 4.17/4.56 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 4.17/4.56 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.17/4.56 , Y, Z, T ) }.
% 4.17/4.56 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 4.17/4.56 perp( X, Y, Z, T ) }.
% 4.17/4.56 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 4.17/4.56 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.17/4.56 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.17/4.56 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.17/4.56 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 4.17/4.56 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.17/4.56 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 4.17/4.56 , X, X, Y ) }.
% 4.17/4.56 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.17/4.56 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.17/4.56 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol24 ) }.
% 4.17/4.56 (119) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol27, skol25 ) }.
% 4.17/4.56 (120) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol24, skol27 ) }.
% 4.17/4.56 (123) {G0,W5,D2,L1,V0,M1} I { ! cong( skol23, skol22, skol23, skol20 ) }.
% 4.17/4.56 (126) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 4.17/4.56 ) }.
% 4.17/4.56 (146) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 4.17/4.56 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.17/4.56 (165) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 4.17/4.56 (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 4.17/4.56 (183) {G1,W12,D2,L3,V4,M3} R(2,1) { ! coll( X, Y, Z ), coll( Z, T, X ), !
% 4.17/4.56 coll( Y, X, T ) }.
% 4.17/4.56 (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 4.17/4.56 coll( Z, X, T ) }.
% 4.17/4.56 (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 4.17/4.56 (212) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 4.17/4.56 coll( X, Z, T ) }.
% 4.17/4.56 (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 4.17/4.56 (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 4.17/4.56 ), ! perp( X, Y, U, W ) }.
% 4.17/4.56 (284) {G2,W10,D2,L2,V4,M2} F(272) { ! perp( X, Y, Z, T ), para( Z, T, Z, T
% 4.17/4.56 ) }.
% 4.17/4.56 (312) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol28, skol24, skol26 ) }.
% 4.17/4.56 (314) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol20, skol25, skol27 ) }.
% 4.17/4.56 (315) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol22, skol27, skol24 ) }.
% 4.17/4.56 (338) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 4.17/4.56 , T, Y ) }.
% 4.17/4.56 (350) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.17/4.56 , X, T ) }.
% 4.17/4.56 (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.17/4.56 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.17/4.56 (399) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 4.17/4.56 (404) {G6,W8,D2,L2,V3,M2} R(399,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 4.17/4.56 (405) {G6,W8,D2,L2,V3,M2} R(399,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 4.17/4.56 (406) {G7,W8,D2,L2,V3,M2} R(404,399) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 4.17/4.56 }.
% 4.17/4.56 (411) {G7,W8,D2,L2,V3,M2} R(405,405) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 4.17/4.56 }.
% 4.17/4.56 (414) {G8,W12,D2,L3,V4,M3} R(411,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 4.17/4.56 , coll( T, Y, X ) }.
% 4.17/4.56 (415) {G9,W8,D2,L2,V3,M2} F(414) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 4.17/4.56 (418) {G10,W8,D2,L2,V3,M2} R(415,406) { coll( X, X, Y ), ! coll( Z, Y, X )
% 4.17/4.56 }.
% 4.17/4.56 (419) {G10,W8,D2,L2,V3,M2} R(415,404) { coll( X, X, Y ), ! coll( Z, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 (467) {G2,W8,D2,L2,V3,M2} R(69,165) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 (474) {G11,W8,D2,L2,V3,M2} R(69,419) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 4.17/4.56 }.
% 4.17/4.56 (488) {G2,W4,D2,L1,V0,M1} R(69,315) { coll( skol22, skol27, skol24 ) }.
% 4.17/4.56 (500) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol22, skol24, skol27 ) }.
% 4.17/4.56 (510) {G11,W4,D2,L1,V0,M1} R(488,418) { coll( skol24, skol24, skol27 ) }.
% 4.17/4.56 (530) {G1,W10,D2,L2,V4,M2} R(23,22) { cong( X, Y, Z, T ), ! cong( Z, T, Y,
% 4.17/4.56 X ) }.
% 4.17/4.56 (531) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ), cong( Z, T, Y,
% 4.17/4.56 X ) }.
% 4.17/4.56 (557) {G1,W10,D2,L2,V2,M2} R(24,123) { ! cong( skol23, skol22, X, Y ), !
% 4.17/4.56 cong( X, Y, skol23, skol20 ) }.
% 4.17/4.56 (815) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 4.17/4.56 ), ! para( X, Z, X, Z ) }.
% 4.17/4.56 (962) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.17/4.56 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 4.17/4.56 (995) {G2,W15,D2,L3,V3,M3} F(962) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 4.17/4.56 , Z, Y ), cong( X, Y, X, Y ) }.
% 4.17/4.56 (1261) {G2,W8,D2,L2,V1,M2} R(500,2) { ! coll( skol22, skol24, X ), coll(
% 4.17/4.56 skol27, X, skol22 ) }.
% 4.17/4.56 (1680) {G3,W8,D2,L2,V1,M2} R(1261,166) { coll( skol27, X, skol22 ), ! coll
% 4.17/4.56 ( X, skol22, skol24 ) }.
% 4.17/4.56 (2460) {G2,W5,D2,L1,V0,M1} R(68,312) { cong( skol28, skol24, skol28, skol26
% 4.17/4.56 ) }.
% 4.17/4.56 (3761) {G4,W8,D2,L2,V1,M2} R(1680,166) { ! coll( X, skol22, skol24 ), coll
% 4.17/4.56 ( X, skol22, skol27 ) }.
% 4.17/4.56 (3781) {G5,W12,D2,L3,V2,M3} R(3761,2) { ! coll( X, skol22, skol24 ), ! coll
% 4.17/4.56 ( X, skol22, Y ), coll( skol27, Y, X ) }.
% 4.17/4.56 (3786) {G6,W8,D2,L2,V1,M2} F(3781) { ! coll( X, skol22, skol24 ), coll(
% 4.17/4.56 skol27, skol24, X ) }.
% 4.17/4.56 (5149) {G7,W8,D2,L2,V1,M2} R(3786,467) { coll( skol27, skol24, X ), ! midp
% 4.17/4.56 ( skol22, skol24, X ) }.
% 4.17/4.56 (7236) {G3,W5,D2,L1,V0,M1} R(126,2460) { circle( skol28, skol24, skol26,
% 4.17/4.56 skol26 ) }.
% 4.17/4.56 (8177) {G12,W14,D3,L3,V2,M3} R(146,5149);r(510) { ! midp( X, skol24, skol27
% 4.17/4.56 ), midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol22, skol24, skol27
% 4.17/4.56 ) }.
% 4.17/4.56 (8308) {G13,W6,D3,L1,V1,M1} F(8177);r(120) { midp( skol7( skol24, X ),
% 4.17/4.56 skol24, X ) }.
% 4.17/4.56 (9753) {G4,W7,D3,L1,V0,M1} R(7236,100) { perp( skol12( skol24, skol28 ),
% 4.17/4.56 skol24, skol24, skol28 ) }.
% 4.17/4.56 (10710) {G14,W4,D2,L1,V1,M1} R(8308,474) { coll( skol24, skol24, X ) }.
% 4.17/4.56 (10809) {G15,W4,D2,L1,V2,M1} R(10710,183);r(10710) { coll( X, Y, skol24 )
% 4.17/4.56 }.
% 4.17/4.56 (10858) {G16,W4,D2,L1,V2,M1} R(10809,166) { coll( X, skol24, Y ) }.
% 4.17/4.56 (10859) {G16,W4,D2,L1,V2,M1} R(10809,165) { coll( skol24, X, Y ) }.
% 4.17/4.56 (10863) {G17,W4,D2,L1,V3,M1} R(10858,183);r(10859) { coll( X, Y, Z ) }.
% 4.17/4.56 (11347) {G5,W7,D3,L1,V0,M1} R(9753,7) { perp( skol24, skol28, skol12(
% 4.17/4.56 skol24, skol28 ), skol24 ) }.
% 4.17/4.56 (11356) {G6,W7,D3,L1,V0,M1} R(11347,6) { perp( skol24, skol28, skol24,
% 4.17/4.56 skol12( skol24, skol28 ) ) }.
% 4.17/4.56 (11372) {G7,W7,D3,L1,V0,M1} R(11356,7) { perp( skol24, skol12( skol24,
% 4.17/4.56 skol28 ), skol24, skol28 ) }.
% 4.17/4.56 (11381) {G8,W7,D3,L1,V0,M1} R(11372,6) { perp( skol24, skol12( skol24,
% 4.17/4.56 skol28 ), skol28, skol24 ) }.
% 4.17/4.56 (11390) {G9,W7,D3,L1,V0,M1} R(11381,7) { perp( skol28, skol24, skol24,
% 4.17/4.56 skol12( skol24, skol28 ) ) }.
% 4.17/4.56 (11392) {G18,W8,D3,L1,V2,M1} R(11390,110);r(10863) { perp( skol16( skol28,
% 4.17/4.56 X, Y ), skol28, X, Y ) }.
% 4.17/4.56 (15833) {G19,W5,D2,L1,V2,M1} R(11392,284) { para( X, Y, X, Y ) }.
% 4.17/4.56 (20126) {G20,W5,D2,L1,V3,M1} S(815);r(10863);r(15833) { cyclic( Z, Y, X, X
% 4.17/4.56 ) }.
% 4.17/4.56 (20144) {G21,W5,D2,L1,V3,M1} R(20126,350) { cyclic( X, Y, Z, Y ) }.
% 4.17/4.56 (20146) {G21,W5,D2,L1,V3,M1} R(20126,338) { cyclic( X, Y, Y, Z ) }.
% 4.17/4.56 (20151) {G22,W5,D2,L1,V3,M1} R(20144,382);r(20146) { cyclic( Y, Y, Z, T )
% 4.17/4.56 }.
% 4.17/4.56 (20161) {G23,W5,D2,L1,V4,M1} R(20151,382);r(20151) { cyclic( X, Y, Z, T )
% 4.17/4.56 }.
% 4.17/4.56 (23536) {G24,W5,D2,L1,V2,M1} S(995);r(20161);r(20161) { cong( X, Y, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 (23547) {G25,W5,D2,L1,V3,M1} R(23536,56);r(23536) { perp( X, X, Z, Y ) }.
% 4.17/4.56 (23576) {G26,W5,D2,L1,V4,M1} R(23547,272);r(23547) { para( X, Y, Z, T ) }.
% 4.17/4.56 (23593) {G27,W8,D2,L2,V5,M2} S(64);r(23576);r(23576) { ! midp( Z, T, U ),
% 4.17/4.56 midp( Z, X, Y ) }.
% 4.17/4.56 (23604) {G28,W4,D2,L1,V2,M1} R(23593,315) { midp( skol22, X, Y ) }.
% 4.17/4.56 (23605) {G28,W4,D2,L1,V2,M1} R(23593,314) { midp( skol20, X, Y ) }.
% 4.17/4.56 (23611) {G29,W5,D2,L1,V2,M1} R(23604,68) { cong( skol22, X, skol22, Y ) }.
% 4.17/4.56 (23616) {G29,W5,D2,L1,V2,M1} R(23605,68) { cong( skol20, X, skol20, Y ) }.
% 4.17/4.56 (23749) {G30,W5,D2,L1,V2,M1} R(23616,531) { cong( skol20, X, Y, skol20 )
% 4.17/4.56 }.
% 4.17/4.56 (23767) {G31,W5,D2,L1,V2,M1} R(23749,531) { cong( X, skol20, Y, skol20 )
% 4.17/4.56 }.
% 4.17/4.56 (23805) {G30,W5,D2,L1,V2,M1} R(23611,530) { cong( X, skol22, skol22, Y )
% 4.17/4.56 }.
% 4.17/4.56 (23840) {G31,W5,D2,L1,V1,M1} R(23805,557) { ! cong( skol22, X, skol23,
% 4.17/4.56 skol20 ) }.
% 4.17/4.56 (23850) {G32,W0,D0,L0,V0,M0} R(23840,23767) { }.
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 % SZS output end Refutation
% 4.17/4.56 found a proof!
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Unprocessed initial clauses:
% 4.17/4.56
% 4.17/4.56 (23852) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.17/4.56 (23853) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.17/4.56 (23854) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 4.17/4.56 ( Y, Z, X ) }.
% 4.17/4.56 (23855) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 4.17/4.56 }.
% 4.17/4.56 (23856) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 (23857) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 4.17/4.56 , para( X, Y, Z, T ) }.
% 4.17/4.56 (23858) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 4.17/4.56 }.
% 4.17/4.56 (23859) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 (23860) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.17/4.56 , para( X, Y, Z, T ) }.
% 4.17/4.56 (23861) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.17/4.56 , perp( X, Y, Z, T ) }.
% 4.17/4.56 (23862) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.17/4.56 (23863) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 4.17/4.56 , circle( T, X, Y, Z ) }.
% 4.17/4.56 (23864) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 4.17/4.56 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 (23865) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 4.17/4.56 ) }.
% 4.17/4.56 (23866) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 4.17/4.56 ) }.
% 4.17/4.56 (23867) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 4.17/4.56 ) }.
% 4.17/4.56 (23868) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 4.17/4.56 T ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 (23869) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.17/4.56 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.17/4.56 (23870) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.17/4.56 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.17/4.56 (23871) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.17/4.56 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.17/4.56 (23872) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.17/4.56 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.17/4.56 (23873) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.17/4.56 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 4.17/4.56 V1 ) }.
% 4.17/4.56 (23874) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 4.17/4.56 }.
% 4.17/4.56 (23875) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 (23876) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 4.17/4.56 , cong( X, Y, Z, T ) }.
% 4.17/4.56 (23877) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.17/4.56 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.17/4.56 (23878) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.17/4.56 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 4.17/4.56 (23879) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.17/4.56 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 4.17/4.56 (23880) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.17/4.56 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.17/4.56 (23881) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.17/4.56 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 4.17/4.56 V1 ) }.
% 4.17/4.56 (23882) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 4.17/4.56 , Z, T, U, W ) }.
% 4.17/4.56 (23883) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 4.17/4.56 , Z, T, U, W ) }.
% 4.17/4.56 (23884) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 4.17/4.56 , Z, T, U, W ) }.
% 4.17/4.56 (23885) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 4.17/4.56 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 4.17/4.56 (23886) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 4.17/4.56 , Z, T, U, W ) }.
% 4.17/4.56 (23887) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 4.17/4.56 , Z, T, U, W ) }.
% 4.17/4.56 (23888) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 4.17/4.56 , Z, T, U, W ) }.
% 4.17/4.56 (23889) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 4.17/4.56 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 4.17/4.56 (23890) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 4.17/4.56 X, Y, Z, T ) }.
% 4.17/4.56 (23891) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 4.17/4.56 Z, T, U, W ) }.
% 4.17/4.56 (23892) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 4.17/4.56 , T, X, T, Y ) }.
% 4.17/4.56 (23893) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 4.17/4.56 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 (23894) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 4.17/4.56 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 (23895) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 4.17/4.56 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.17/4.56 , Y, Z, T ) }.
% 4.17/4.56 (23896) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 4.17/4.56 ( Z, T, X, Y ) }.
% 4.17/4.56 (23897) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 4.17/4.56 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 4.17/4.56 (23898) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 4.17/4.56 X, Y, Z, Y ) }.
% 4.17/4.56 (23899) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 4.17/4.56 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 4.17/4.56 (23900) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 4.17/4.56 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 4.17/4.56 (23901) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 4.17/4.56 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 4.17/4.56 (23902) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 4.17/4.56 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 4.17/4.56 (23903) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 4.17/4.56 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 4.17/4.56 (23904) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 4.17/4.56 cong( X, Z, Y, Z ) }.
% 4.17/4.56 (23905) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 4.17/4.56 perp( X, Y, Y, Z ) }.
% 4.17/4.56 (23906) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.17/4.56 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 4.17/4.56 (23907) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 4.17/4.56 cong( Z, X, Z, Y ) }.
% 4.17/4.56 (23908) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 4.17/4.56 , perp( X, Y, Z, T ) }.
% 4.17/4.56 (23909) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 4.17/4.56 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.17/4.56 (23910) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 4.17/4.56 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 4.17/4.56 , W ) }.
% 4.17/4.56 (23911) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 4.17/4.56 , X, Z, T, U, T, W ) }.
% 4.17/4.56 (23912) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 4.17/4.56 , Y, Z, T, U, U, W ) }.
% 4.17/4.56 (23913) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 4.17/4.56 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 4.17/4.56 (23914) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 4.17/4.56 , T ) }.
% 4.17/4.56 (23915) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 4.17/4.56 ( X, Z, Y, T ) }.
% 4.17/4.56 (23916) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 4.17/4.56 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.17/4.56 (23917) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 4.17/4.56 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 4.17/4.56 (23918) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 4.17/4.56 (23919) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 4.17/4.56 midp( X, Y, Z ) }.
% 4.17/4.56 (23920) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.17/4.56 (23921) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.17/4.56 (23922) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 4.17/4.56 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 4.17/4.56 (23923) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 4.17/4.56 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.17/4.56 (23924) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 4.17/4.56 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 4.17/4.56 (23925) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.17/4.56 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 4.17/4.56 (23926) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.17/4.56 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.17/4.56 (23927) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 4.17/4.56 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 4.17/4.56 (23928) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.17/4.56 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 4.17/4.56 (23929) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.17/4.56 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 4.17/4.56 (23930) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.17/4.56 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 4.17/4.56 (23931) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.17/4.56 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 4.17/4.56 (23932) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.17/4.56 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 4.17/4.56 (23933) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.17/4.56 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 4.17/4.56 (23934) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.17/4.56 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 4.17/4.56 (23935) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.17/4.56 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 4.17/4.56 (23936) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.17/4.56 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 4.17/4.56 (23937) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.17/4.56 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 4.17/4.56 , T ) ) }.
% 4.17/4.56 (23938) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 4.17/4.56 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 4.17/4.56 (23939) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.17/4.56 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 4.17/4.56 (23940) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.17/4.56 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 4.17/4.56 (23941) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 4.17/4.56 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.17/4.56 (23942) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.17/4.56 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 4.17/4.56 ) }.
% 4.17/4.56 (23943) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.17/4.56 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 4.17/4.56 }.
% 4.17/4.56 (23944) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.17/4.56 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 4.17/4.56 (23945) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.17/4.56 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 4.17/4.56 (23946) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.17/4.56 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 4.17/4.56 (23947) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.17/4.56 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 4.17/4.56 (23948) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.17/4.56 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.17/4.56 (23949) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.17/4.56 , alpha1( X, Y, Z ) }.
% 4.17/4.56 (23950) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 4.17/4.56 ), Z, X ) }.
% 4.17/4.56 (23951) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 4.17/4.56 , Z ), Z, X ) }.
% 4.17/4.56 (23952) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 4.17/4.56 alpha1( X, Y, Z ) }.
% 4.17/4.56 (23953) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 4.17/4.56 ), X, X, Y ) }.
% 4.17/4.56 (23954) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.17/4.56 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 4.17/4.56 ) ) }.
% 4.17/4.56 (23955) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.17/4.56 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.17/4.56 (23956) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.17/4.56 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 4.17/4.56 }.
% 4.17/4.56 (23957) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.17/4.56 (23958) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 4.17/4.56 }.
% 4.17/4.56 (23959) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 4.17/4.56 alpha2( X, Y, Z, T ) }.
% 4.17/4.56 (23960) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.17/4.56 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 4.17/4.56 (23961) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 4.17/4.56 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 4.17/4.56 (23962) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.17/4.56 coll( skol16( W, Y, Z ), Y, Z ) }.
% 4.17/4.56 (23963) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.17/4.56 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.17/4.56 (23964) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 4.17/4.56 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 4.17/4.56 (23965) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.17/4.56 , coll( X, Y, skol18( X, Y ) ) }.
% 4.17/4.56 (23966) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.17/4.56 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 4.17/4.56 (23967) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.17/4.56 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 4.17/4.56 }.
% 4.17/4.56 (23968) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.17/4.56 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 4.17/4.56 }.
% 4.17/4.56 (23969) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol25, skol26, skol27 ) }.
% 4.17/4.56 (23970) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol26, skol24 ) }.
% 4.17/4.56 (23971) {G0,W4,D2,L1,V0,M1} { midp( skol29, skol25, skol26 ) }.
% 4.17/4.56 (23972) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol27, skol25 ) }.
% 4.17/4.56 (23973) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol24, skol27 ) }.
% 4.17/4.56 (23974) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol28, skol20 ) }.
% 4.17/4.56 (23975) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol29, skol22 ) }.
% 4.17/4.56 (23976) {G0,W5,D2,L1,V0,M1} { ! cong( skol23, skol22, skol23, skol20 ) }.
% 4.17/4.56
% 4.17/4.56
% 4.17/4.56 Total Proof:
% 4.17/4.56
% 4.17/4.56 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.17/4.56 }.
% 4.17/4.56 parent0: (23852) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 parent0: (23853) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 4.17/4.56 Z ), coll( Y, Z, X ) }.
% 4.17/4.56 parent0: (23854) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.17/4.56 ), coll( Y, Z, X ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 4.17/4.56 , T, Z ) }.
% 4.17/4.56 parent0: (23858) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.17/4.56 T, Z ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 4.17/4.56 , X, Y ) }.
% 4.17/4.56 parent0: (23859) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.17/4.56 X, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 4.17/4.56 W, Z, T ), para( X, Y, Z, T ) }.
% 4.17/4.56 parent0: (23860) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 4.17/4.56 , Z, T ), para( X, Y, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := U
% 4.17/4.56 W := W
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 4.17/4.56 ) }.
% 4.17/4.56 parent0: (23862) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 4.17/4.56 , X, T, Z ), circle( T, X, Y, Z ) }.
% 4.17/4.56 parent0: (23863) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 4.17/4.56 , T, Z ), circle( T, X, Y, Z ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.17/4.56 X, Y, T, Z ) }.
% 4.17/4.56 parent0: (23865) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.17/4.56 , Y, T, Z ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.17/4.56 X, Z, Y, T ) }.
% 4.17/4.56 parent0: (23866) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.17/4.56 , Z, Y, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.17/4.56 Y, X, Z, T ) }.
% 4.17/4.56 parent0: (23867) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.17/4.56 , X, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.17/4.56 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 parent0: (23868) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 4.17/4.56 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := U
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 4.17/4.56 , T, Z ) }.
% 4.17/4.56 parent0: (23874) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 4.17/4.56 T, Z ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 4.17/4.56 , X, Y ) }.
% 4.17/4.56 parent0: (23875) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 4.17/4.56 X, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 4.17/4.56 , W, Z, T ), cong( X, Y, Z, T ) }.
% 4.17/4.56 parent0: (23876) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 4.17/4.56 , Z, T ), cong( X, Y, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := U
% 4.17/4.56 W := W
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.17/4.56 , Y, U, W, Z, T, U, W ) }.
% 4.17/4.56 parent0: (23891) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 4.17/4.56 Y, U, W, Z, T, U, W ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := U
% 4.17/4.56 W := W
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 4.17/4.56 ( Z, X, Z, Y, T, X, T, Y ) }.
% 4.17/4.56 parent0: (23892) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 4.17/4.56 , X, Z, Y, T, X, T, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 4.17/4.56 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 parent0: (23894) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.17/4.56 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.17/4.56 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.17/4.56 ), cong( X, Y, Z, T ) }.
% 4.17/4.56 parent0: (23895) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 4.17/4.56 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 4.17/4.56 , cong( X, Y, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := U
% 4.17/4.56 W := W
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 3 ==> 3
% 4.17/4.56 4 ==> 4
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 4.17/4.56 , T, Y, T ), perp( X, Y, Z, T ) }.
% 4.17/4.56 parent0: (23908) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 4.17/4.56 , Y, T ), perp( X, Y, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 4.17/4.56 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.17/4.56 parent0: (23916) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 4.17/4.56 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := U
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 3 ==> 3
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 4.17/4.56 , Z ) }.
% 4.17/4.56 parent0: (23920) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 4.17/4.56 ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 4.17/4.56 ) }.
% 4.17/4.56 parent0: (23921) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 4.17/4.56 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.17/4.56 ) }.
% 4.17/4.56 parent0: (23941) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 4.17/4.56 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := U
% 4.17/4.56 W := W
% 4.17/4.56 V0 := V0
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 3 ==> 3
% 4.17/4.56 4 ==> 4
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.17/4.56 skol12( X, Y ), X, X, Y ) }.
% 4.17/4.56 parent0: (23953) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 4.17/4.56 skol12( X, Y ), X, X, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.17/4.56 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.17/4.56 parent0: (23963) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 4.17/4.56 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := U
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol24 )
% 4.17/4.56 }.
% 4.17/4.56 parent0: (23970) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol26, skol24 ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol27, skol25 )
% 4.17/4.56 }.
% 4.17/4.56 parent0: (23972) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol27, skol25 ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol24, skol27 )
% 4.17/4.56 }.
% 4.17/4.56 parent0: (23973) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol24, skol27 ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 *** allocated 576640 integers for termspace/termends
% 4.17/4.56 subsumption: (123) {G0,W5,D2,L1,V0,M1} I { ! cong( skol23, skol22, skol23,
% 4.17/4.56 skol20 ) }.
% 4.17/4.56 parent0: (23976) {G0,W5,D2,L1,V0,M1} { ! cong( skol23, skol22, skol23,
% 4.17/4.56 skol20 ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 factor: (24530) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.17/4.56 , Z, Z ) }.
% 4.17/4.56 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 4.17/4.56 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := Z
% 4.17/4.56 Z := Z
% 4.17/4.56 T := X
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (126) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 4.17/4.56 circle( X, Y, Z, Z ) }.
% 4.17/4.56 parent0: (24530) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.17/4.56 , Z, Z ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 factor: (24531) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.17/4.56 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.17/4.56 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 4.17/4.56 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.17/4.56 ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := Z
% 4.17/4.56 Z := X
% 4.17/4.56 T := Y
% 4.17/4.56 U := Z
% 4.17/4.56 W := X
% 4.17/4.56 V0 := T
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (146) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 4.17/4.56 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.17/4.56 parent0: (24531) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.17/4.56 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 3 ==> 3
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24534) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 4.17/4.56 ) }.
% 4.17/4.56 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Z
% 4.17/4.56 Z := Y
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 4.17/4.56 , Z, X ) }.
% 4.17/4.56 parent0: (24534) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := X
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24536) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 4.17/4.56 ) }.
% 4.17/4.56 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.17/4.56 }.
% 4.17/4.56 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := X
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 4.17/4.56 , Z, X ) }.
% 4.17/4.56 parent0: (24536) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := X
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 1
% 4.17/4.56 1 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24538) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T,
% 4.17/4.56 X ), ! coll( Y, X, T ) }.
% 4.17/4.56 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.17/4.56 ), coll( Y, Z, X ) }.
% 4.17/4.56 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Z
% 4.17/4.56 Z := T
% 4.17/4.56 T := Y
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := X
% 4.17/4.56 Z := T
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (183) {G1,W12,D2,L3,V4,M3} R(2,1) { ! coll( X, Y, Z ), coll( Z
% 4.17/4.56 , T, X ), ! coll( Y, X, T ) }.
% 4.17/4.56 parent0: (24538) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T, X )
% 4.17/4.56 , ! coll( Y, X, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24543) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 4.17/4.56 X ), ! coll( Z, T, Y ) }.
% 4.17/4.56 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.17/4.56 }.
% 4.17/4.56 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.17/4.56 ), coll( Y, Z, X ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := Z
% 4.17/4.56 Y := X
% 4.17/4.56 Z := Y
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 4.17/4.56 ( X, Y, T ), coll( Z, X, T ) }.
% 4.17/4.56 parent0: (24543) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 4.17/4.56 , ! coll( Z, T, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := Z
% 4.17/4.56 Y := T
% 4.17/4.56 Z := X
% 4.17/4.56 T := Y
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 2
% 4.17/4.56 1 ==> 0
% 4.17/4.56 2 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 factor: (24545) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 parent0[0, 1]: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 4.17/4.56 coll( X, Y, T ), coll( Z, X, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := Z
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z
% 4.17/4.56 , X, Z ) }.
% 4.17/4.56 parent0: (24545) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24546) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 4.17/4.56 X ), ! coll( Z, T, Y ) }.
% 4.17/4.56 parent0[0]: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z,
% 4.17/4.56 X, Z ) }.
% 4.17/4.56 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.17/4.56 ), coll( Y, Z, X ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := Z
% 4.17/4.56 Y := X
% 4.17/4.56 Z := Y
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (212) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll
% 4.17/4.56 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.17/4.56 parent0: (24546) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 4.17/4.56 , ! coll( Z, T, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := X
% 4.17/4.56 T := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 factor: (24548) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.17/4.56 }.
% 4.17/4.56 parent0[1, 2]: (212) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), !
% 4.17/4.56 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := Y
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X
% 4.17/4.56 , Z, Y ) }.
% 4.17/4.56 parent0: (24548) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24549) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 4.17/4.56 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 4.17/4.56 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.17/4.56 , Z, T ), para( X, Y, Z, T ) }.
% 4.17/4.56 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.17/4.56 X, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := U
% 4.17/4.56 T := W
% 4.17/4.56 U := Z
% 4.17/4.56 W := T
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := Z
% 4.17/4.56 Y := T
% 4.17/4.56 Z := X
% 4.17/4.56 T := Y
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.17/4.56 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.17/4.56 parent0: (24549) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 4.17/4.56 U, W ), ! perp( Z, T, X, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := U
% 4.17/4.56 Y := W
% 4.17/4.56 Z := X
% 4.17/4.56 T := Y
% 4.17/4.56 U := Z
% 4.17/4.56 W := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 factor: (24553) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T, Z
% 4.17/4.56 , T ) }.
% 4.17/4.56 parent0[0, 2]: (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 4.17/4.56 para( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := Z
% 4.17/4.56 W := T
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (284) {G2,W10,D2,L2,V4,M2} F(272) { ! perp( X, Y, Z, T ), para
% 4.17/4.56 ( Z, T, Z, T ) }.
% 4.17/4.56 parent0: (24553) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T,
% 4.17/4.56 Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24554) {G1,W4,D2,L1,V0,M1} { midp( skol28, skol24, skol26 )
% 4.17/4.56 }.
% 4.17/4.56 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol24 )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := skol24
% 4.17/4.56 Y := skol26
% 4.17/4.56 Z := skol28
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (312) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol28, skol24,
% 4.17/4.56 skol26 ) }.
% 4.17/4.56 parent0: (24554) {G1,W4,D2,L1,V0,M1} { midp( skol28, skol24, skol26 ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24555) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol25, skol27 )
% 4.17/4.56 }.
% 4.17/4.56 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol27, skol25 )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := skol25
% 4.17/4.56 Y := skol27
% 4.17/4.56 Z := skol20
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (314) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol20, skol25,
% 4.17/4.56 skol27 ) }.
% 4.17/4.56 parent0: (24555) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol25, skol27 ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24556) {G1,W4,D2,L1,V0,M1} { midp( skol22, skol27, skol24 )
% 4.17/4.56 }.
% 4.17/4.56 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.17/4.56 }.
% 4.17/4.56 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol24, skol27 )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := skol27
% 4.17/4.56 Y := skol24
% 4.17/4.56 Z := skol22
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (315) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol22, skol27,
% 4.17/4.56 skol24 ) }.
% 4.17/4.56 parent0: (24556) {G1,W4,D2,L1,V0,M1} { midp( skol22, skol27, skol24 ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24558) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 4.17/4.56 ( X, Z, Y, T ) }.
% 4.17/4.56 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.17/4.56 , Y, T, Z ) }.
% 4.17/4.56 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.17/4.56 , Z, Y, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Z
% 4.17/4.56 Z := Y
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (338) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.17/4.56 cyclic( X, Z, T, Y ) }.
% 4.17/4.56 parent0: (24558) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 4.17/4.56 , Z, Y, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Z
% 4.17/4.56 Z := Y
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 1
% 4.17/4.56 1 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24560) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 4.17/4.56 ( Y, X, Z, T ) }.
% 4.17/4.56 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.17/4.56 , Z, Y, T ) }.
% 4.17/4.56 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.17/4.56 , X, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := X
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (350) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.17/4.56 cyclic( Y, Z, X, T ) }.
% 4.17/4.56 parent0: (24560) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 4.17/4.56 , X, Z, T ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := X
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 1
% 4.17/4.56 1 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24562) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 4.17/4.56 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.17/4.56 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.17/4.56 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.17/4.56 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.17/4.56 , Y, T, Z ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := Y
% 4.17/4.56 Y := Z
% 4.17/4.56 Z := T
% 4.17/4.56 T := U
% 4.17/4.56 U := X
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := U
% 4.17/4.56 T := Z
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.17/4.56 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.17/4.56 parent0: (24562) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.17/4.56 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 T := T
% 4.17/4.56 U := U
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 0
% 4.17/4.56 1 ==> 1
% 4.17/4.56 2 ==> 2
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24565) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 4.17/4.56 ) }.
% 4.17/4.56 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 parent1[0]: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X,
% 4.17/4.56 Z, Y ) }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := X
% 4.17/4.56 end
% 4.17/4.56 substitution1:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Y
% 4.17/4.56 Z := Z
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 subsumption: (399) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll(
% 4.17/4.56 Z, X, X ) }.
% 4.17/4.56 parent0: (24565) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.56 X := X
% 4.17/4.56 Y := Z
% 4.17/4.56 Z := Y
% 4.17/4.56 end
% 4.17/4.56 permutation0:
% 4.17/4.56 0 ==> 1
% 4.17/4.56 1 ==> 0
% 4.17/4.56 end
% 4.17/4.56
% 4.17/4.56 resolution: (24566) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 4.17/4.56 ) }.
% 4.17/4.56 parent0[0]: (399) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 4.17/4.56 , X, X ) }.
% 4.17/4.56 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.17/4.56 }.
% 4.17/4.56 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (404) {G6,W8,D2,L2,V3,M2} R(399,1) { coll( X, Y, Y ), ! coll(
% 4.17/4.57 Z, Y, X ) }.
% 4.17/4.57 parent0: (24566) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24567) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 4.17/4.57 ) }.
% 4.17/4.57 parent0[0]: (399) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 4.17/4.57 , X, X ) }.
% 4.17/4.57 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (405) {G6,W8,D2,L2,V3,M2} R(399,0) { coll( X, Y, Y ), ! coll(
% 4.17/4.57 Y, X, Z ) }.
% 4.17/4.57 parent0: (24567) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24569) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 4.17/4.57 ) }.
% 4.17/4.57 parent0[0]: (399) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 4.17/4.57 , X, X ) }.
% 4.17/4.57 parent1[0]: (404) {G6,W8,D2,L2,V3,M2} R(399,1) { coll( X, Y, Y ), ! coll( Z
% 4.17/4.57 , Y, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (406) {G7,W8,D2,L2,V3,M2} R(404,399) { ! coll( X, Y, Z ), coll
% 4.17/4.57 ( Y, Z, Z ) }.
% 4.17/4.57 parent0: (24569) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 1
% 4.17/4.57 1 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24570) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 4.17/4.57 ) }.
% 4.17/4.57 parent0[1]: (405) {G6,W8,D2,L2,V3,M2} R(399,0) { coll( X, Y, Y ), ! coll( Y
% 4.17/4.57 , X, Z ) }.
% 4.17/4.57 parent1[0]: (405) {G6,W8,D2,L2,V3,M2} R(399,0) { coll( X, Y, Y ), ! coll( Y
% 4.17/4.57 , X, Z ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (411) {G7,W8,D2,L2,V3,M2} R(405,405) { ! coll( X, Y, Z ), coll
% 4.17/4.57 ( X, Y, Y ) }.
% 4.17/4.57 parent0: (24570) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 1
% 4.17/4.57 1 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24574) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 4.17/4.57 X ), ! coll( X, Y, T ) }.
% 4.17/4.57 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.17/4.57 ), coll( Y, Z, X ) }.
% 4.17/4.57 parent1[1]: (411) {G7,W8,D2,L2,V3,M2} R(405,405) { ! coll( X, Y, Z ), coll
% 4.17/4.57 ( X, Y, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := Y
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := T
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (414) {G8,W12,D2,L3,V4,M3} R(411,2) { ! coll( X, Y, Z ), !
% 4.17/4.57 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.17/4.57 parent0: (24574) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.17/4.57 , ! coll( X, Y, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := T
% 4.17/4.57 T := Z
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 1
% 4.17/4.57 1 ==> 2
% 4.17/4.57 2 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 factor: (24577) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.17/4.57 }.
% 4.17/4.57 parent0[0, 1]: (414) {G8,W12,D2,L3,V4,M3} R(411,2) { ! coll( X, Y, Z ), !
% 4.17/4.57 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := Z
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (415) {G9,W8,D2,L2,V3,M2} F(414) { ! coll( X, Y, Z ), coll( Z
% 4.17/4.57 , Y, X ) }.
% 4.17/4.57 parent0: (24577) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24578) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 4.17/4.57 ) }.
% 4.17/4.57 parent0[0]: (415) {G9,W8,D2,L2,V3,M2} F(414) { ! coll( X, Y, Z ), coll( Z,
% 4.17/4.57 Y, X ) }.
% 4.17/4.57 parent1[1]: (406) {G7,W8,D2,L2,V3,M2} R(404,399) { ! coll( X, Y, Z ), coll
% 4.17/4.57 ( Y, Z, Z ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (418) {G10,W8,D2,L2,V3,M2} R(415,406) { coll( X, X, Y ), !
% 4.17/4.57 coll( Z, Y, X ) }.
% 4.17/4.57 parent0: (24578) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24579) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 4.17/4.57 ) }.
% 4.17/4.57 parent0[0]: (415) {G9,W8,D2,L2,V3,M2} F(414) { ! coll( X, Y, Z ), coll( Z,
% 4.17/4.57 Y, X ) }.
% 4.17/4.57 parent1[0]: (404) {G6,W8,D2,L2,V3,M2} R(399,1) { coll( X, Y, Y ), ! coll( Z
% 4.17/4.57 , Y, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (419) {G10,W8,D2,L2,V3,M2} R(415,404) { coll( X, X, Y ), !
% 4.17/4.57 coll( Z, X, Y ) }.
% 4.17/4.57 parent0: (24579) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24580) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 4.17/4.57 ) }.
% 4.17/4.57 parent0[1]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 4.17/4.57 Z, X ) }.
% 4.17/4.57 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (467) {G2,W8,D2,L2,V3,M2} R(69,165) { ! midp( X, Y, Z ), coll
% 4.17/4.57 ( Z, X, Y ) }.
% 4.17/4.57 parent0: (24580) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 1
% 4.17/4.57 1 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24581) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 4.17/4.57 ) }.
% 4.17/4.57 parent0[1]: (419) {G10,W8,D2,L2,V3,M2} R(415,404) { coll( X, X, Y ), ! coll
% 4.17/4.57 ( Z, X, Y ) }.
% 4.17/4.57 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (474) {G11,W8,D2,L2,V3,M2} R(69,419) { ! midp( X, Y, Z ), coll
% 4.17/4.57 ( Y, Y, Z ) }.
% 4.17/4.57 parent0: (24581) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 1
% 4.17/4.57 1 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24582) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol24 )
% 4.17/4.57 }.
% 4.17/4.57 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.17/4.57 }.
% 4.17/4.57 parent1[0]: (315) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol22, skol27,
% 4.17/4.57 skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol22
% 4.17/4.57 Y := skol27
% 4.17/4.57 Z := skol24
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (488) {G2,W4,D2,L1,V0,M1} R(69,315) { coll( skol22, skol27,
% 4.17/4.57 skol24 ) }.
% 4.17/4.57 parent0: (24582) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24583) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol27 )
% 4.17/4.57 }.
% 4.17/4.57 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.17/4.57 }.
% 4.17/4.57 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol24, skol27 )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol22
% 4.17/4.57 Y := skol24
% 4.17/4.57 Z := skol27
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (500) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol22, skol24,
% 4.17/4.57 skol27 ) }.
% 4.17/4.57 parent0: (24583) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol27 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24584) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol27 )
% 4.17/4.57 }.
% 4.17/4.57 parent0[1]: (418) {G10,W8,D2,L2,V3,M2} R(415,406) { coll( X, X, Y ), ! coll
% 4.17/4.57 ( Z, Y, X ) }.
% 4.17/4.57 parent1[0]: (488) {G2,W4,D2,L1,V0,M1} R(69,315) { coll( skol22, skol27,
% 4.17/4.57 skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol24
% 4.17/4.57 Y := skol27
% 4.17/4.57 Z := skol22
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (510) {G11,W4,D2,L1,V0,M1} R(488,418) { coll( skol24, skol24,
% 4.17/4.57 skol27 ) }.
% 4.17/4.57 parent0: (24584) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol27 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24585) {G1,W10,D2,L2,V4,M2} { cong( Z, T, X, Y ), ! cong( X,
% 4.17/4.57 Y, T, Z ) }.
% 4.17/4.57 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 4.17/4.57 , X, Y ) }.
% 4.17/4.57 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 4.17/4.57 , T, Z ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := T
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := T
% 4.17/4.57 T := Z
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (530) {G1,W10,D2,L2,V4,M2} R(23,22) { cong( X, Y, Z, T ), !
% 4.17/4.57 cong( Z, T, Y, X ) }.
% 4.17/4.57 parent0: (24585) {G1,W10,D2,L2,V4,M2} { cong( Z, T, X, Y ), ! cong( X, Y,
% 4.17/4.57 T, Z ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := T
% 4.17/4.57 Z := X
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24587) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z,
% 4.17/4.57 T, X, Y ) }.
% 4.17/4.57 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 4.17/4.57 , T, Z ) }.
% 4.17/4.57 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 4.17/4.57 , X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := T
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := T
% 4.17/4.57 Z := X
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (531) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 4.17/4.57 cong( Z, T, Y, X ) }.
% 4.17/4.57 parent0: (24587) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z, T,
% 4.17/4.57 X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := T
% 4.17/4.57 Z := X
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 1
% 4.17/4.57 1 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24588) {G1,W10,D2,L2,V2,M2} { ! cong( skol23, skol22, X, Y )
% 4.17/4.57 , ! cong( X, Y, skol23, skol20 ) }.
% 4.17/4.57 parent0[0]: (123) {G0,W5,D2,L1,V0,M1} I { ! cong( skol23, skol22, skol23,
% 4.17/4.57 skol20 ) }.
% 4.17/4.57 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 4.17/4.57 W, Z, T ), cong( X, Y, Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := skol23
% 4.17/4.57 Y := skol22
% 4.17/4.57 Z := skol23
% 4.17/4.57 T := skol20
% 4.17/4.57 U := X
% 4.17/4.57 W := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (557) {G1,W10,D2,L2,V2,M2} R(24,123) { ! cong( skol23, skol22
% 4.17/4.57 , X, Y ), ! cong( X, Y, skol23, skol20 ) }.
% 4.17/4.57 parent0: (24588) {G1,W10,D2,L2,V2,M2} { ! cong( skol23, skol22, X, Y ), !
% 4.17/4.57 cong( X, Y, skol23, skol20 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24589) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 4.17/4.57 , X, X ), ! para( X, Y, X, Y ) }.
% 4.17/4.57 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.17/4.57 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.17/4.57 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.17/4.57 , Y, U, W, Z, T, U, W ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := X
% 4.17/4.57 T := X
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := X
% 4.17/4.57 T := Y
% 4.17/4.57 U := X
% 4.17/4.57 W := Z
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (815) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 4.17/4.57 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.17/4.57 parent0: (24589) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 4.17/4.57 , X ), ! para( X, Y, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 2 ==> 2
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24590) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.17/4.57 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.17/4.57 cyclic( X, Y, Z, T ) }.
% 4.17/4.57 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.17/4.57 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.17/4.57 ), cong( X, Y, Z, T ) }.
% 4.17/4.57 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 4.17/4.57 Z, X, Z, Y, T, X, T, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := X
% 4.17/4.57 T := Y
% 4.17/4.57 U := Z
% 4.17/4.57 W := T
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := T
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 factor: (24592) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.17/4.57 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.17/4.57 parent0[0, 2]: (24590) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.17/4.57 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.17/4.57 cyclic( X, Y, Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (962) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 4.17/4.57 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 4.17/4.57 parent0: (24592) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.17/4.57 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 2 ==> 3
% 4.17/4.57 3 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 factor: (24597) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.17/4.57 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.17/4.57 parent0[0, 2]: (962) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 4.17/4.57 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (995) {G2,W15,D2,L3,V3,M3} F(962) { ! cyclic( X, Y, Z, X ), !
% 4.17/4.57 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.17/4.57 parent0: (24597) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.17/4.57 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 2 ==> 2
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24599) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol24, X ),
% 4.17/4.57 coll( skol27, X, skol22 ) }.
% 4.17/4.57 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.17/4.57 ), coll( Y, Z, X ) }.
% 4.17/4.57 parent1[0]: (500) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol22, skol24,
% 4.17/4.57 skol27 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol22
% 4.17/4.57 Y := skol27
% 4.17/4.57 Z := X
% 4.17/4.57 T := skol24
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (1261) {G2,W8,D2,L2,V1,M2} R(500,2) { ! coll( skol22, skol24,
% 4.17/4.57 X ), coll( skol27, X, skol22 ) }.
% 4.17/4.57 parent0: (24599) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol24, X ), coll(
% 4.17/4.57 skol27, X, skol22 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24601) {G2,W8,D2,L2,V1,M2} { coll( skol27, X, skol22 ), !
% 4.17/4.57 coll( X, skol22, skol24 ) }.
% 4.17/4.57 parent0[0]: (1261) {G2,W8,D2,L2,V1,M2} R(500,2) { ! coll( skol22, skol24, X
% 4.17/4.57 ), coll( skol27, X, skol22 ) }.
% 4.17/4.57 parent1[1]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.17/4.57 Z, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := skol22
% 4.17/4.57 Z := skol24
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (1680) {G3,W8,D2,L2,V1,M2} R(1261,166) { coll( skol27, X,
% 4.17/4.57 skol22 ), ! coll( X, skol22, skol24 ) }.
% 4.17/4.57 parent0: (24601) {G2,W8,D2,L2,V1,M2} { coll( skol27, X, skol22 ), ! coll(
% 4.17/4.57 X, skol22, skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24602) {G1,W5,D2,L1,V0,M1} { cong( skol28, skol24, skol28,
% 4.17/4.57 skol26 ) }.
% 4.17/4.57 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.17/4.57 Z ) }.
% 4.17/4.57 parent1[0]: (312) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol28, skol24,
% 4.17/4.57 skol26 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol28
% 4.17/4.57 Y := skol24
% 4.17/4.57 Z := skol26
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (2460) {G2,W5,D2,L1,V0,M1} R(68,312) { cong( skol28, skol24,
% 4.17/4.57 skol28, skol26 ) }.
% 4.17/4.57 parent0: (24602) {G1,W5,D2,L1,V0,M1} { cong( skol28, skol24, skol28,
% 4.17/4.57 skol26 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24604) {G2,W8,D2,L2,V1,M2} { coll( X, skol22, skol27 ), !
% 4.17/4.57 coll( X, skol22, skol24 ) }.
% 4.17/4.57 parent0[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.17/4.57 Z, X ) }.
% 4.17/4.57 parent1[0]: (1680) {G3,W8,D2,L2,V1,M2} R(1261,166) { coll( skol27, X,
% 4.17/4.57 skol22 ), ! coll( X, skol22, skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol27
% 4.17/4.57 Y := X
% 4.17/4.57 Z := skol22
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (3761) {G4,W8,D2,L2,V1,M2} R(1680,166) { ! coll( X, skol22,
% 4.17/4.57 skol24 ), coll( X, skol22, skol27 ) }.
% 4.17/4.57 parent0: (24604) {G2,W8,D2,L2,V1,M2} { coll( X, skol22, skol27 ), ! coll(
% 4.17/4.57 X, skol22, skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 1
% 4.17/4.57 1 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24607) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol22, Y ), coll(
% 4.17/4.57 skol27, Y, X ), ! coll( X, skol22, skol24 ) }.
% 4.17/4.57 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.17/4.57 ), coll( Y, Z, X ) }.
% 4.17/4.57 parent1[1]: (3761) {G4,W8,D2,L2,V1,M2} R(1680,166) { ! coll( X, skol22,
% 4.17/4.57 skol24 ), coll( X, skol22, skol27 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := skol27
% 4.17/4.57 Z := Y
% 4.17/4.57 T := skol22
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (3781) {G5,W12,D2,L3,V2,M3} R(3761,2) { ! coll( X, skol22,
% 4.17/4.57 skol24 ), ! coll( X, skol22, Y ), coll( skol27, Y, X ) }.
% 4.17/4.57 parent0: (24607) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol22, Y ), coll(
% 4.17/4.57 skol27, Y, X ), ! coll( X, skol22, skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 1
% 4.17/4.57 1 ==> 2
% 4.17/4.57 2 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 factor: (24611) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol22, skol24 ), coll(
% 4.17/4.57 skol27, skol24, X ) }.
% 4.17/4.57 parent0[0, 1]: (3781) {G5,W12,D2,L3,V2,M3} R(3761,2) { ! coll( X, skol22,
% 4.17/4.57 skol24 ), ! coll( X, skol22, Y ), coll( skol27, Y, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := skol24
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (3786) {G6,W8,D2,L2,V1,M2} F(3781) { ! coll( X, skol22, skol24
% 4.17/4.57 ), coll( skol27, skol24, X ) }.
% 4.17/4.57 parent0: (24611) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol22, skol24 ), coll(
% 4.17/4.57 skol27, skol24, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24612) {G3,W8,D2,L2,V1,M2} { coll( skol27, skol24, X ), !
% 4.17/4.57 midp( skol22, skol24, X ) }.
% 4.17/4.57 parent0[0]: (3786) {G6,W8,D2,L2,V1,M2} F(3781) { ! coll( X, skol22, skol24
% 4.17/4.57 ), coll( skol27, skol24, X ) }.
% 4.17/4.57 parent1[1]: (467) {G2,W8,D2,L2,V3,M2} R(69,165) { ! midp( X, Y, Z ), coll(
% 4.17/4.57 Z, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := skol22
% 4.17/4.57 Y := skol24
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (5149) {G7,W8,D2,L2,V1,M2} R(3786,467) { coll( skol27, skol24
% 4.17/4.57 , X ), ! midp( skol22, skol24, X ) }.
% 4.17/4.57 parent0: (24612) {G3,W8,D2,L2,V1,M2} { coll( skol27, skol24, X ), ! midp(
% 4.17/4.57 skol22, skol24, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24613) {G2,W5,D2,L1,V0,M1} { circle( skol28, skol24, skol26,
% 4.17/4.57 skol26 ) }.
% 4.17/4.57 parent0[0]: (126) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 4.17/4.57 ( X, Y, Z, Z ) }.
% 4.17/4.57 parent1[0]: (2460) {G2,W5,D2,L1,V0,M1} R(68,312) { cong( skol28, skol24,
% 4.17/4.57 skol28, skol26 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol28
% 4.17/4.57 Y := skol24
% 4.17/4.57 Z := skol26
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (7236) {G3,W5,D2,L1,V0,M1} R(126,2460) { circle( skol28,
% 4.17/4.57 skol24, skol26, skol26 ) }.
% 4.17/4.57 parent0: (24613) {G2,W5,D2,L1,V0,M1} { circle( skol28, skol24, skol26,
% 4.17/4.57 skol26 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24614) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol24, skol27 ), !
% 4.17/4.57 coll( skol24, skol24, skol27 ), midp( skol7( skol24, Y ), skol24, Y ), !
% 4.17/4.57 midp( skol22, skol24, skol27 ) }.
% 4.17/4.57 parent0[2]: (146) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 4.17/4.57 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.17/4.57 parent1[0]: (5149) {G7,W8,D2,L2,V1,M2} R(3786,467) { coll( skol27, skol24,
% 4.17/4.57 X ), ! midp( skol22, skol24, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := skol24
% 4.17/4.57 Z := skol27
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := skol27
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24617) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol24, skol27 ),
% 4.17/4.57 midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol22, skol24, skol27 )
% 4.17/4.57 }.
% 4.17/4.57 parent0[1]: (24614) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol24, skol27 ), !
% 4.17/4.57 coll( skol24, skol24, skol27 ), midp( skol7( skol24, Y ), skol24, Y ), !
% 4.17/4.57 midp( skol22, skol24, skol27 ) }.
% 4.17/4.57 parent1[0]: (510) {G11,W4,D2,L1,V0,M1} R(488,418) { coll( skol24, skol24,
% 4.17/4.57 skol27 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (8177) {G12,W14,D3,L3,V2,M3} R(146,5149);r(510) { ! midp( X,
% 4.17/4.57 skol24, skol27 ), midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol22,
% 4.17/4.57 skol24, skol27 ) }.
% 4.17/4.57 parent0: (24617) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol24, skol27 ), midp
% 4.17/4.57 ( skol7( skol24, Y ), skol24, Y ), ! midp( skol22, skol24, skol27 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 2 ==> 2
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 factor: (24619) {G12,W10,D3,L2,V1,M2} { ! midp( skol22, skol24, skol27 ),
% 4.17/4.57 midp( skol7( skol24, X ), skol24, X ) }.
% 4.17/4.57 parent0[0, 2]: (8177) {G12,W14,D3,L3,V2,M3} R(146,5149);r(510) { ! midp( X
% 4.17/4.57 , skol24, skol27 ), midp( skol7( skol24, Y ), skol24, Y ), ! midp( skol22
% 4.17/4.57 , skol24, skol27 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol22
% 4.17/4.57 Y := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24620) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol24, X ), skol24
% 4.17/4.57 , X ) }.
% 4.17/4.57 parent0[0]: (24619) {G12,W10,D3,L2,V1,M2} { ! midp( skol22, skol24, skol27
% 4.17/4.57 ), midp( skol7( skol24, X ), skol24, X ) }.
% 4.17/4.57 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol24, skol27 )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (8308) {G13,W6,D3,L1,V1,M1} F(8177);r(120) { midp( skol7(
% 4.17/4.57 skol24, X ), skol24, X ) }.
% 4.17/4.57 parent0: (24620) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol24, X ), skol24, X
% 4.17/4.57 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24621) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol24, skol28 ),
% 4.17/4.57 skol24, skol24, skol28 ) }.
% 4.17/4.57 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.17/4.57 skol12( X, Y ), X, X, Y ) }.
% 4.17/4.57 parent1[0]: (7236) {G3,W5,D2,L1,V0,M1} R(126,2460) { circle( skol28, skol24
% 4.17/4.57 , skol26, skol26 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol24
% 4.17/4.57 Y := skol28
% 4.17/4.57 Z := skol26
% 4.17/4.57 T := skol26
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (9753) {G4,W7,D3,L1,V0,M1} R(7236,100) { perp( skol12( skol24
% 4.17/4.57 , skol28 ), skol24, skol24, skol28 ) }.
% 4.17/4.57 parent0: (24621) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol24, skol28 ),
% 4.17/4.57 skol24, skol24, skol28 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24622) {G12,W4,D2,L1,V1,M1} { coll( skol24, skol24, X ) }.
% 4.17/4.57 parent0[0]: (474) {G11,W8,D2,L2,V3,M2} R(69,419) { ! midp( X, Y, Z ), coll
% 4.17/4.57 ( Y, Y, Z ) }.
% 4.17/4.57 parent1[0]: (8308) {G13,W6,D3,L1,V1,M1} F(8177);r(120) { midp( skol7(
% 4.17/4.57 skol24, X ), skol24, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol7( skol24, X )
% 4.17/4.57 Y := skol24
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (10710) {G14,W4,D2,L1,V1,M1} R(8308,474) { coll( skol24,
% 4.17/4.57 skol24, X ) }.
% 4.17/4.57 parent0: (24622) {G12,W4,D2,L1,V1,M1} { coll( skol24, skol24, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24623) {G2,W8,D2,L2,V2,M2} { coll( X, Y, skol24 ), ! coll(
% 4.17/4.57 skol24, skol24, Y ) }.
% 4.17/4.57 parent0[0]: (183) {G1,W12,D2,L3,V4,M3} R(2,1) { ! coll( X, Y, Z ), coll( Z
% 4.17/4.57 , T, X ), ! coll( Y, X, T ) }.
% 4.17/4.57 parent1[0]: (10710) {G14,W4,D2,L1,V1,M1} R(8308,474) { coll( skol24, skol24
% 4.17/4.57 , X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol24
% 4.17/4.57 Y := skol24
% 4.17/4.57 Z := X
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24625) {G3,W4,D2,L1,V2,M1} { coll( X, Y, skol24 ) }.
% 4.17/4.57 parent0[1]: (24623) {G2,W8,D2,L2,V2,M2} { coll( X, Y, skol24 ), ! coll(
% 4.17/4.57 skol24, skol24, Y ) }.
% 4.17/4.57 parent1[0]: (10710) {G14,W4,D2,L1,V1,M1} R(8308,474) { coll( skol24, skol24
% 4.17/4.57 , X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (10809) {G15,W4,D2,L1,V2,M1} R(10710,183);r(10710) { coll( X,
% 4.17/4.57 Y, skol24 ) }.
% 4.17/4.57 parent0: (24625) {G3,W4,D2,L1,V2,M1} { coll( X, Y, skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24626) {G2,W4,D2,L1,V2,M1} { coll( Y, skol24, X ) }.
% 4.17/4.57 parent0[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.17/4.57 Z, X ) }.
% 4.17/4.57 parent1[0]: (10809) {G15,W4,D2,L1,V2,M1} R(10710,183);r(10710) { coll( X, Y
% 4.17/4.57 , skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := skol24
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (10858) {G16,W4,D2,L1,V2,M1} R(10809,166) { coll( X, skol24, Y
% 4.17/4.57 ) }.
% 4.17/4.57 parent0: (24626) {G2,W4,D2,L1,V2,M1} { coll( Y, skol24, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24627) {G2,W4,D2,L1,V2,M1} { coll( skol24, X, Y ) }.
% 4.17/4.57 parent0[1]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 4.17/4.57 Z, X ) }.
% 4.17/4.57 parent1[0]: (10809) {G15,W4,D2,L1,V2,M1} R(10710,183);r(10710) { coll( X, Y
% 4.17/4.57 , skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol24
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (10859) {G16,W4,D2,L1,V2,M1} R(10809,165) { coll( skol24, X, Y
% 4.17/4.57 ) }.
% 4.17/4.57 parent0: (24627) {G2,W4,D2,L1,V2,M1} { coll( skol24, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24628) {G2,W8,D2,L2,V3,M2} { coll( Y, Z, X ), ! coll( skol24
% 4.17/4.57 , X, Z ) }.
% 4.17/4.57 parent0[0]: (183) {G1,W12,D2,L3,V4,M3} R(2,1) { ! coll( X, Y, Z ), coll( Z
% 4.17/4.57 , T, X ), ! coll( Y, X, T ) }.
% 4.17/4.57 parent1[0]: (10858) {G16,W4,D2,L1,V2,M1} R(10809,166) { coll( X, skol24, Y
% 4.17/4.57 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := skol24
% 4.17/4.57 Z := Y
% 4.17/4.57 T := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24630) {G3,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 4.17/4.57 parent0[1]: (24628) {G2,W8,D2,L2,V3,M2} { coll( Y, Z, X ), ! coll( skol24
% 4.17/4.57 , X, Z ) }.
% 4.17/4.57 parent1[0]: (10859) {G16,W4,D2,L1,V2,M1} R(10809,165) { coll( skol24, X, Y
% 4.17/4.57 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (10863) {G17,W4,D2,L1,V3,M1} R(10858,183);r(10859) { coll( X,
% 4.17/4.57 Y, Z ) }.
% 4.17/4.57 parent0: (24630) {G3,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24631) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol28, skol12(
% 4.17/4.57 skol24, skol28 ), skol24 ) }.
% 4.17/4.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.17/4.57 X, Y ) }.
% 4.17/4.57 parent1[0]: (9753) {G4,W7,D3,L1,V0,M1} R(7236,100) { perp( skol12( skol24,
% 4.17/4.57 skol28 ), skol24, skol24, skol28 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol12( skol24, skol28 )
% 4.17/4.57 Y := skol24
% 4.17/4.57 Z := skol24
% 4.17/4.57 T := skol28
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (11347) {G5,W7,D3,L1,V0,M1} R(9753,7) { perp( skol24, skol28,
% 4.17/4.57 skol12( skol24, skol28 ), skol24 ) }.
% 4.17/4.57 parent0: (24631) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol28, skol12(
% 4.17/4.57 skol24, skol28 ), skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24632) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol28, skol24,
% 4.17/4.57 skol12( skol24, skol28 ) ) }.
% 4.17/4.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.17/4.57 T, Z ) }.
% 4.17/4.57 parent1[0]: (11347) {G5,W7,D3,L1,V0,M1} R(9753,7) { perp( skol24, skol28,
% 4.17/4.57 skol12( skol24, skol28 ), skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol24
% 4.17/4.57 Y := skol28
% 4.17/4.57 Z := skol12( skol24, skol28 )
% 4.17/4.57 T := skol24
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (11356) {G6,W7,D3,L1,V0,M1} R(11347,6) { perp( skol24, skol28
% 4.17/4.57 , skol24, skol12( skol24, skol28 ) ) }.
% 4.17/4.57 parent0: (24632) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol28, skol24,
% 4.17/4.57 skol12( skol24, skol28 ) ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24633) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol12( skol24,
% 4.17/4.57 skol28 ), skol24, skol28 ) }.
% 4.17/4.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.17/4.57 X, Y ) }.
% 4.17/4.57 parent1[0]: (11356) {G6,W7,D3,L1,V0,M1} R(11347,6) { perp( skol24, skol28,
% 4.17/4.57 skol24, skol12( skol24, skol28 ) ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol24
% 4.17/4.57 Y := skol28
% 4.17/4.57 Z := skol24
% 4.17/4.57 T := skol12( skol24, skol28 )
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (11372) {G7,W7,D3,L1,V0,M1} R(11356,7) { perp( skol24, skol12
% 4.17/4.57 ( skol24, skol28 ), skol24, skol28 ) }.
% 4.17/4.57 parent0: (24633) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol12( skol24,
% 4.17/4.57 skol28 ), skol24, skol28 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24634) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol12( skol24,
% 4.17/4.57 skol28 ), skol28, skol24 ) }.
% 4.17/4.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.17/4.57 T, Z ) }.
% 4.17/4.57 parent1[0]: (11372) {G7,W7,D3,L1,V0,M1} R(11356,7) { perp( skol24, skol12(
% 4.17/4.57 skol24, skol28 ), skol24, skol28 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol24
% 4.17/4.57 Y := skol12( skol24, skol28 )
% 4.17/4.57 Z := skol24
% 4.17/4.57 T := skol28
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (11381) {G8,W7,D3,L1,V0,M1} R(11372,6) { perp( skol24, skol12
% 4.17/4.57 ( skol24, skol28 ), skol28, skol24 ) }.
% 4.17/4.57 parent0: (24634) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol12( skol24,
% 4.17/4.57 skol28 ), skol28, skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24635) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol24, skol24,
% 4.17/4.57 skol12( skol24, skol28 ) ) }.
% 4.17/4.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.17/4.57 X, Y ) }.
% 4.17/4.57 parent1[0]: (11381) {G8,W7,D3,L1,V0,M1} R(11372,6) { perp( skol24, skol12(
% 4.17/4.57 skol24, skol28 ), skol28, skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol24
% 4.17/4.57 Y := skol12( skol24, skol28 )
% 4.17/4.57 Z := skol28
% 4.17/4.57 T := skol24
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (11390) {G9,W7,D3,L1,V0,M1} R(11381,7) { perp( skol28, skol24
% 4.17/4.57 , skol24, skol12( skol24, skol28 ) ) }.
% 4.17/4.57 parent0: (24635) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol24, skol24,
% 4.17/4.57 skol12( skol24, skol28 ) ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24636) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol24, skol28
% 4.17/4.57 ), X, Y ), perp( skol16( skol28, X, Y ), skol28, X, Y ) }.
% 4.17/4.57 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.17/4.57 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.17/4.57 parent1[0]: (11390) {G9,W7,D3,L1,V0,M1} R(11381,7) { perp( skol28, skol24,
% 4.17/4.57 skol24, skol12( skol24, skol28 ) ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol28
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 T := skol12( skol24, skol28 )
% 4.17/4.57 U := skol24
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24637) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol28, X, Y ),
% 4.17/4.57 skol28, X, Y ) }.
% 4.17/4.57 parent0[0]: (24636) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol24, skol28
% 4.17/4.57 ), X, Y ), perp( skol16( skol28, X, Y ), skol28, X, Y ) }.
% 4.17/4.57 parent1[0]: (10863) {G17,W4,D2,L1,V3,M1} R(10858,183);r(10859) { coll( X, Y
% 4.17/4.57 , Z ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := skol12( skol24, skol28 )
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (11392) {G18,W8,D3,L1,V2,M1} R(11390,110);r(10863) { perp(
% 4.17/4.57 skol16( skol28, X, Y ), skol28, X, Y ) }.
% 4.17/4.57 parent0: (24637) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol28, X, Y ),
% 4.17/4.57 skol28, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24638) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.17/4.57 parent0[0]: (284) {G2,W10,D2,L2,V4,M2} F(272) { ! perp( X, Y, Z, T ), para
% 4.17/4.57 ( Z, T, Z, T ) }.
% 4.17/4.57 parent1[0]: (11392) {G18,W8,D3,L1,V2,M1} R(11390,110);r(10863) { perp(
% 4.17/4.57 skol16( skol28, X, Y ), skol28, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol16( skol28, X, Y )
% 4.17/4.57 Y := skol28
% 4.17/4.57 Z := X
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (15833) {G19,W5,D2,L1,V2,M1} R(11392,284) { para( X, Y, X, Y )
% 4.17/4.57 }.
% 4.17/4.57 parent0: (24638) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24639) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.17/4.57 , Z, X, Z ) }.
% 4.17/4.57 parent0[0]: (815) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 4.17/4.57 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.17/4.57 parent1[0]: (10863) {G17,W4,D2,L1,V3,M1} R(10858,183);r(10859) { coll( X, Y
% 4.17/4.57 , Z ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24640) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.17/4.57 parent0[1]: (24639) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.17/4.57 , Z, X, Z ) }.
% 4.17/4.57 parent1[0]: (15833) {G19,W5,D2,L1,V2,M1} R(11392,284) { para( X, Y, X, Y )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (20126) {G20,W5,D2,L1,V3,M1} S(815);r(10863);r(15833) { cyclic
% 4.17/4.57 ( Z, Y, X, X ) }.
% 4.17/4.57 parent0: (24640) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24641) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.17/4.57 parent0[0]: (350) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.17/4.57 cyclic( Y, Z, X, T ) }.
% 4.17/4.57 parent1[0]: (20126) {G20,W5,D2,L1,V3,M1} S(815);r(10863);r(15833) { cyclic
% 4.17/4.57 ( Z, Y, X, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (20144) {G21,W5,D2,L1,V3,M1} R(20126,350) { cyclic( X, Y, Z, Y
% 4.17/4.57 ) }.
% 4.17/4.57 parent0: (24641) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24642) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.17/4.57 parent0[0]: (338) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.17/4.57 cyclic( X, Z, T, Y ) }.
% 4.17/4.57 parent1[0]: (20126) {G20,W5,D2,L1,V3,M1} S(815);r(10863);r(15833) { cyclic
% 4.17/4.57 ( Z, Y, X, X ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (20146) {G21,W5,D2,L1,V3,M1} R(20126,338) { cyclic( X, Y, Y, Z
% 4.17/4.57 ) }.
% 4.17/4.57 parent0: (24642) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24644) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.17/4.57 ( Y, Y, Z, T ) }.
% 4.17/4.57 parent0[2]: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.17/4.57 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.17/4.57 parent1[0]: (20144) {G21,W5,D2,L1,V3,M1} R(20126,350) { cyclic( X, Y, Z, Y
% 4.17/4.57 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Y
% 4.17/4.57 T := Z
% 4.17/4.57 U := T
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := T
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24645) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.17/4.57 parent0[0]: (24644) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.17/4.57 ( Y, Y, Z, T ) }.
% 4.17/4.57 parent1[0]: (20146) {G21,W5,D2,L1,V3,M1} R(20126,338) { cyclic( X, Y, Y, Z
% 4.17/4.57 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := T
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (20151) {G22,W5,D2,L1,V3,M1} R(20144,382);r(20146) { cyclic( Y
% 4.17/4.57 , Y, Z, T ) }.
% 4.17/4.57 parent0: (24645) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := U
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := T
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24646) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.17/4.57 ( X, X, T, Y ) }.
% 4.17/4.57 parent0[0]: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.17/4.57 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.17/4.57 parent1[0]: (20151) {G22,W5,D2,L1,V3,M1} R(20144,382);r(20146) { cyclic( Y
% 4.17/4.57 , Y, Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 T := Z
% 4.17/4.57 U := T
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := U
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 T := Z
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24648) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.17/4.57 parent0[1]: (24646) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.17/4.57 ( X, X, T, Y ) }.
% 4.17/4.57 parent1[0]: (20151) {G22,W5,D2,L1,V3,M1} R(20144,382);r(20146) { cyclic( Y
% 4.17/4.57 , Y, Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := T
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := U
% 4.17/4.57 Y := X
% 4.17/4.57 Z := T
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (20161) {G23,W5,D2,L1,V4,M1} R(20151,382);r(20151) { cyclic( X
% 4.17/4.57 , Y, Z, T ) }.
% 4.17/4.57 parent0: (24648) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := T
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24651) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.17/4.57 , Y, X, Y ) }.
% 4.17/4.57 parent0[0]: (995) {G2,W15,D2,L3,V3,M3} F(962) { ! cyclic( X, Y, Z, X ), !
% 4.17/4.57 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.17/4.57 parent1[0]: (20161) {G23,W5,D2,L1,V4,M1} R(20151,382);r(20151) { cyclic( X
% 4.17/4.57 , Y, Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24653) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.17/4.57 parent0[0]: (24651) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.17/4.57 , Y, X, Y ) }.
% 4.17/4.57 parent1[0]: (20161) {G23,W5,D2,L1,V4,M1} R(20151,382);r(20151) { cyclic( X
% 4.17/4.57 , Y, Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23536) {G24,W5,D2,L1,V2,M1} S(995);r(20161);r(20161) { cong(
% 4.17/4.57 X, Y, X, Y ) }.
% 4.17/4.57 parent0: (24653) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24654) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.17/4.57 X, Y, Z ) }.
% 4.17/4.57 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 4.17/4.57 T, Y, T ), perp( X, Y, Z, T ) }.
% 4.17/4.57 parent1[0]: (23536) {G24,W5,D2,L1,V2,M1} S(995);r(20161);r(20161) { cong( X
% 4.17/4.57 , Y, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 T := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24656) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.17/4.57 parent0[0]: (24654) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.17/4.57 X, Y, Z ) }.
% 4.17/4.57 parent1[0]: (23536) {G24,W5,D2,L1,V2,M1} S(995);r(20161);r(20161) { cong( X
% 4.17/4.57 , Y, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23547) {G25,W5,D2,L1,V3,M1} R(23536,56);r(23536) { perp( X, X
% 4.17/4.57 , Z, Y ) }.
% 4.17/4.57 parent0: (24656) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24657) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.17/4.57 X, T, U ) }.
% 4.17/4.57 parent0[0]: (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.17/4.57 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.17/4.57 parent1[0]: (23547) {G25,W5,D2,L1,V3,M1} R(23536,56);r(23536) { perp( X, X
% 4.17/4.57 , Z, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 T := Z
% 4.17/4.57 U := T
% 4.17/4.57 W := U
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24659) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.17/4.57 parent0[1]: (24657) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.17/4.57 X, T, U ) }.
% 4.17/4.57 parent1[0]: (23547) {G25,W5,D2,L1,V3,M1} R(23536,56);r(23536) { perp( X, X
% 4.17/4.57 , Z, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := U
% 4.17/4.57 Y := Z
% 4.17/4.57 Z := T
% 4.17/4.57 T := X
% 4.17/4.57 U := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := U
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23576) {G26,W5,D2,L1,V4,M1} R(23547,272);r(23547) { para( X,
% 4.17/4.57 Y, Z, T ) }.
% 4.17/4.57 parent0: (24659) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := T
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24662) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), ! para( Y, U
% 4.17/4.57 , Z, T ), midp( X, T, U ) }.
% 4.17/4.57 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 4.17/4.57 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.17/4.57 parent1[0]: (23576) {G26,W5,D2,L1,V4,M1} R(23547,272);r(23547) { para( X, Y
% 4.17/4.57 , Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := T
% 4.17/4.57 Y := U
% 4.17/4.57 Z := X
% 4.17/4.57 T := Y
% 4.17/4.57 U := Z
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := T
% 4.17/4.57 Z := Z
% 4.17/4.57 T := U
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24664) {G2,W8,D2,L2,V5,M2} { ! midp( X, Y, Z ), midp( X, U, T
% 4.17/4.57 ) }.
% 4.17/4.57 parent0[1]: (24662) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), ! para( Y, U
% 4.17/4.57 , Z, T ), midp( X, T, U ) }.
% 4.17/4.57 parent1[0]: (23576) {G26,W5,D2,L1,V4,M1} R(23547,272);r(23547) { para( X, Y
% 4.17/4.57 , Z, T ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := Z
% 4.17/4.57 T := U
% 4.17/4.57 U := T
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := T
% 4.17/4.57 Z := Z
% 4.17/4.57 T := U
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23593) {G27,W8,D2,L2,V5,M2} S(64);r(23576);r(23576) { ! midp
% 4.17/4.57 ( Z, T, U ), midp( Z, X, Y ) }.
% 4.17/4.57 parent0: (24664) {G2,W8,D2,L2,V5,M2} { ! midp( X, Y, Z ), midp( X, U, T )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Z
% 4.17/4.57 Y := T
% 4.17/4.57 Z := U
% 4.17/4.57 T := Y
% 4.17/4.57 U := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 1 ==> 1
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24665) {G2,W4,D2,L1,V2,M1} { midp( skol22, X, Y ) }.
% 4.17/4.57 parent0[0]: (23593) {G27,W8,D2,L2,V5,M2} S(64);r(23576);r(23576) { ! midp(
% 4.17/4.57 Z, T, U ), midp( Z, X, Y ) }.
% 4.17/4.57 parent1[0]: (315) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol22, skol27,
% 4.17/4.57 skol24 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := skol22
% 4.17/4.57 T := skol27
% 4.17/4.57 U := skol24
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23604) {G28,W4,D2,L1,V2,M1} R(23593,315) { midp( skol22, X, Y
% 4.17/4.57 ) }.
% 4.17/4.57 parent0: (24665) {G2,W4,D2,L1,V2,M1} { midp( skol22, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24666) {G2,W4,D2,L1,V2,M1} { midp( skol20, X, Y ) }.
% 4.17/4.57 parent0[0]: (23593) {G27,W8,D2,L2,V5,M2} S(64);r(23576);r(23576) { ! midp(
% 4.17/4.57 Z, T, U ), midp( Z, X, Y ) }.
% 4.17/4.57 parent1[0]: (314) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol20, skol25,
% 4.17/4.57 skol27 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 Z := skol20
% 4.17/4.57 T := skol25
% 4.17/4.57 U := skol27
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23605) {G28,W4,D2,L1,V2,M1} R(23593,314) { midp( skol20, X, Y
% 4.17/4.57 ) }.
% 4.17/4.57 parent0: (24666) {G2,W4,D2,L1,V2,M1} { midp( skol20, X, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24667) {G1,W5,D2,L1,V2,M1} { cong( skol22, X, skol22, Y ) }.
% 4.17/4.57 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.17/4.57 Z ) }.
% 4.17/4.57 parent1[0]: (23604) {G28,W4,D2,L1,V2,M1} R(23593,315) { midp( skol22, X, Y
% 4.17/4.57 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol22
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23611) {G29,W5,D2,L1,V2,M1} R(23604,68) { cong( skol22, X,
% 4.17/4.57 skol22, Y ) }.
% 4.17/4.57 parent0: (24667) {G1,W5,D2,L1,V2,M1} { cong( skol22, X, skol22, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24668) {G1,W5,D2,L1,V2,M1} { cong( skol20, X, skol20, Y ) }.
% 4.17/4.57 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.17/4.57 Z ) }.
% 4.17/4.57 parent1[0]: (23605) {G28,W4,D2,L1,V2,M1} R(23593,314) { midp( skol20, X, Y
% 4.17/4.57 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol20
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23616) {G29,W5,D2,L1,V2,M1} R(23605,68) { cong( skol20, X,
% 4.17/4.57 skol20, Y ) }.
% 4.17/4.57 parent0: (24668) {G1,W5,D2,L1,V2,M1} { cong( skol20, X, skol20, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24669) {G2,W5,D2,L1,V2,M1} { cong( skol20, Y, X, skol20 ) }.
% 4.17/4.57 parent0[0]: (531) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 4.17/4.57 cong( Z, T, Y, X ) }.
% 4.17/4.57 parent1[0]: (23616) {G29,W5,D2,L1,V2,M1} R(23605,68) { cong( skol20, X,
% 4.17/4.57 skol20, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol20
% 4.17/4.57 Y := X
% 4.17/4.57 Z := skol20
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23749) {G30,W5,D2,L1,V2,M1} R(23616,531) { cong( skol20, X, Y
% 4.17/4.57 , skol20 ) }.
% 4.17/4.57 parent0: (24669) {G2,W5,D2,L1,V2,M1} { cong( skol20, Y, X, skol20 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24670) {G2,W5,D2,L1,V2,M1} { cong( Y, skol20, X, skol20 ) }.
% 4.17/4.57 parent0[0]: (531) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 4.17/4.57 cong( Z, T, Y, X ) }.
% 4.17/4.57 parent1[0]: (23749) {G30,W5,D2,L1,V2,M1} R(23616,531) { cong( skol20, X, Y
% 4.17/4.57 , skol20 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol20
% 4.17/4.57 Y := X
% 4.17/4.57 Z := Y
% 4.17/4.57 T := skol20
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23767) {G31,W5,D2,L1,V2,M1} R(23749,531) { cong( X, skol20, Y
% 4.17/4.57 , skol20 ) }.
% 4.17/4.57 parent0: (24670) {G2,W5,D2,L1,V2,M1} { cong( Y, skol20, X, skol20 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24671) {G2,W5,D2,L1,V2,M1} { cong( X, skol22, skol22, Y ) }.
% 4.17/4.57 parent0[1]: (530) {G1,W10,D2,L2,V4,M2} R(23,22) { cong( X, Y, Z, T ), !
% 4.17/4.57 cong( Z, T, Y, X ) }.
% 4.17/4.57 parent1[0]: (23611) {G29,W5,D2,L1,V2,M1} R(23604,68) { cong( skol22, X,
% 4.17/4.57 skol22, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := skol22
% 4.17/4.57 Z := skol22
% 4.17/4.57 T := Y
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := Y
% 4.17/4.57 Y := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23805) {G30,W5,D2,L1,V2,M1} R(23611,530) { cong( X, skol22,
% 4.17/4.57 skol22, Y ) }.
% 4.17/4.57 parent0: (24671) {G2,W5,D2,L1,V2,M1} { cong( X, skol22, skol22, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 Y := Y
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24672) {G2,W5,D2,L1,V1,M1} { ! cong( skol22, X, skol23,
% 4.17/4.57 skol20 ) }.
% 4.17/4.57 parent0[0]: (557) {G1,W10,D2,L2,V2,M2} R(24,123) { ! cong( skol23, skol22,
% 4.17/4.57 X, Y ), ! cong( X, Y, skol23, skol20 ) }.
% 4.17/4.57 parent1[0]: (23805) {G30,W5,D2,L1,V2,M1} R(23611,530) { cong( X, skol22,
% 4.17/4.57 skol22, Y ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol22
% 4.17/4.57 Y := X
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := skol23
% 4.17/4.57 Y := X
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23840) {G31,W5,D2,L1,V1,M1} R(23805,557) { ! cong( skol22, X
% 4.17/4.57 , skol23, skol20 ) }.
% 4.17/4.57 parent0: (24672) {G2,W5,D2,L1,V1,M1} { ! cong( skol22, X, skol23, skol20 )
% 4.17/4.57 }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := X
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 0 ==> 0
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 resolution: (24673) {G32,W0,D0,L0,V0,M0} { }.
% 4.17/4.57 parent0[0]: (23840) {G31,W5,D2,L1,V1,M1} R(23805,557) { ! cong( skol22, X,
% 4.17/4.57 skol23, skol20 ) }.
% 4.17/4.57 parent1[0]: (23767) {G31,W5,D2,L1,V2,M1} R(23749,531) { cong( X, skol20, Y
% 4.17/4.57 , skol20 ) }.
% 4.17/4.57 substitution0:
% 4.17/4.57 X := skol20
% 4.17/4.57 end
% 4.17/4.57 substitution1:
% 4.17/4.57 X := skol22
% 4.17/4.57 Y := skol23
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 subsumption: (23850) {G32,W0,D0,L0,V0,M0} R(23840,23767) { }.
% 4.17/4.57 parent0: (24673) {G32,W0,D0,L0,V0,M0} { }.
% 4.17/4.57 substitution0:
% 4.17/4.57 end
% 4.17/4.57 permutation0:
% 4.17/4.57 end
% 4.17/4.57
% 4.17/4.57 Proof check complete!
% 4.17/4.57
% 4.17/4.57 Memory use:
% 4.17/4.57
% 4.17/4.57 space for terms: 373761
% 4.17/4.57 space for clauses: 1228993
% 4.17/4.57
% 4.17/4.57
% 4.17/4.57 clauses generated: 132211
% 4.17/4.57 clauses kept: 23851
% 4.17/4.57 clauses selected: 1861
% 4.17/4.57 clauses deleted: 10331
% 4.17/4.57 clauses inuse deleted: 1473
% 4.17/4.57
% 4.17/4.57 subsentry: 2480719
% 4.17/4.57 literals s-matched: 1675329
% 4.17/4.57 literals matched: 896778
% 4.17/4.57 full subsumption: 421092
% 4.17/4.57
% 4.17/4.57 checksum: 720823959
% 4.17/4.57
% 4.17/4.57
% 4.17/4.57 Bliksem ended
%------------------------------------------------------------------------------