TSTP Solution File: GEO594+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 02:54:58 EDT 2022
% Result : Theorem 23.05s 23.46s
% Output : Refutation 23.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 00:05:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.13 *** allocated 10000 integers for termspace/termends
% 0.71/1.13 *** allocated 10000 integers for clauses
% 0.71/1.13 *** allocated 10000 integers for justifications
% 0.71/1.13 Bliksem 1.12
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Automatic Strategy Selection
% 0.71/1.13
% 0.71/1.13 *** allocated 15000 integers for termspace/termends
% 0.71/1.13
% 0.71/1.13 Clauses:
% 0.71/1.13
% 0.71/1.13 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.71/1.13 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.71/1.13 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.71/1.13 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.71/1.13 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.71/1.13 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.13 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.71/1.13 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.71/1.13 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.13 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.71/1.13 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.71/1.13 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.71/1.13 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.71/1.13 ( X, Y, Z, T ) }.
% 0.71/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.71/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.71/1.13 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.71/1.13 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.71/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.71/1.13 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.13 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.71/1.13 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.71/1.13 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.71/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.71/1.13 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.13 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.13 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.13 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.13 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.71/1.13 ( X, Y, Z, T, U, W ) }.
% 0.71/1.13 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.13 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.13 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.13 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.71/1.13 ( X, Y, Z, T, U, W ) }.
% 0.71/1.13 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.71/1.13 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.71/1.13 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.71/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.71/1.13 T ) }.
% 0.71/1.13 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.71/1.13 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.71/1.13 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.71/1.13 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.71/1.13 ) }.
% 0.71/1.13 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.71/1.13 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.71/1.13 }.
% 0.71/1.13 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.71/1.13 Z, Y ) }.
% 0.71/1.13 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.71/1.13 X, Z ) }.
% 0.71/1.13 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.71/1.13 U ) }.
% 0.71/1.13 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.71/1.13 , Z ), midp( Z, X, Y ) }.
% 0.71/1.13 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.71/1.13 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.71/1.13 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.71/1.13 Z, Y ) }.
% 0.71/1.13 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.71/1.13 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.71/1.13 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.71/1.13 ( Y, X, X, Z ) }.
% 0.71/1.13 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.71/1.13 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.13 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.71/1.13 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.71/1.13 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.71/1.13 , W ) }.
% 0.71/1.13 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.71/1.13 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.71/1.13 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.71/1.13 , Y ) }.
% 0.71/1.13 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.71/1.13 , X, Z, U, Y, Y, T ) }.
% 0.71/1.13 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.71/1.13 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.71/1.13 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.71/1.13 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.71/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.71/1.13 .
% 0.71/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.71/1.13 ) }.
% 0.71/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.71/1.13 , Z, T ) }.
% 0.71/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.71/1.13 , Z, T ) }.
% 0.71/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.71/1.13 , Z, T ) }.
% 0.71/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.71/1.13 , W, Z, T ), Z, T ) }.
% 0.71/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.71/1.13 , Y, Z, T ), X, Y ) }.
% 0.71/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.71/1.13 , W, Z, T ), Z, T ) }.
% 0.71/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.13 skol2( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.71/1.13 , W, Z, T ), Z, T ) }.
% 0.71/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.13 skol3( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.71/1.13 , T ) }.
% 0.71/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.71/1.13 ) ) }.
% 0.71/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.71/1.13 skol5( W, Y, Z, T ) ) }.
% 0.71/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.71/1.13 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.71/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.71/1.13 , X, T ) }.
% 0.71/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.71/1.13 W, X, Z ) }.
% 0.71/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.71/1.13 , Y, T ) }.
% 0.71/1.13 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.71/1.13 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.71/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.13 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.71/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.13 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.71/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.71/1.13 Z, T ) ) }.
% 0.71/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.71/1.13 , T ) ) }.
% 0.71/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.71/1.13 , X, Y ) }.
% 0.71/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.71/1.13 ) }.
% 0.71/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.71/1.13 , Y ) }.
% 0.71/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.71/1.13 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.71/1.13 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.71/1.13 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.71/1.13 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.34/5.71 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.34/5.71 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.34/5.71 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.34/5.71 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.34/5.71 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.34/5.71 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.34/5.71 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.34/5.71 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.34/5.71 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.34/5.71 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.34/5.71 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.34/5.71 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.34/5.71 X, Y, Z ) }.
% 5.34/5.71 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.34/5.71 }.
% 5.34/5.71 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.34/5.71 ) }.
% 5.34/5.71 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.34/5.71 skol17( X, Y ), X, Y ) }.
% 5.34/5.71 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.34/5.71 }.
% 5.34/5.71 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.34/5.71 ) }.
% 5.34/5.71 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.34/5.71 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.34/5.71 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.34/5.71 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.34/5.71 { cong( skol20, skol24, skol24, skol25 ), cong( skol20, skol24, skol20,
% 5.34/5.71 skol25 ) }.
% 5.34/5.71 { circle( skol26, skol24, skol25, skol20 ) }.
% 5.34/5.71 { coll( skol22, skol20, skol26 ) }.
% 5.34/5.71 { coll( skol22, skol24, skol25 ) }.
% 5.34/5.71 { perp( skol24, skol26, skol24, skol23 ) }.
% 5.34/5.71 { para( skol24, skol26, skol23, skol20 ) }.
% 5.34/5.71 { ! cong( skol20, skol23, skol20, skol22 ) }.
% 5.34/5.71
% 5.34/5.71 percentage equality = 0.008772, percentage horn = 0.918699
% 5.34/5.71 This is a problem with some equality
% 5.34/5.71
% 5.34/5.71
% 5.34/5.71
% 5.34/5.71 Options Used:
% 5.34/5.71
% 5.34/5.71 useres = 1
% 5.34/5.71 useparamod = 1
% 5.34/5.71 useeqrefl = 1
% 5.34/5.71 useeqfact = 1
% 5.34/5.71 usefactor = 1
% 5.34/5.71 usesimpsplitting = 0
% 5.34/5.71 usesimpdemod = 5
% 5.34/5.71 usesimpres = 3
% 5.34/5.71
% 5.34/5.71 resimpinuse = 1000
% 5.34/5.71 resimpclauses = 20000
% 5.34/5.71 substype = eqrewr
% 5.34/5.71 backwardsubs = 1
% 5.34/5.71 selectoldest = 5
% 5.34/5.71
% 5.34/5.71 litorderings [0] = split
% 5.34/5.71 litorderings [1] = extend the termordering, first sorting on arguments
% 5.34/5.71
% 5.34/5.71 termordering = kbo
% 5.34/5.71
% 5.34/5.71 litapriori = 0
% 5.34/5.71 termapriori = 1
% 5.34/5.71 litaposteriori = 0
% 5.34/5.71 termaposteriori = 0
% 5.34/5.71 demodaposteriori = 0
% 5.34/5.71 ordereqreflfact = 0
% 5.34/5.71
% 5.34/5.71 litselect = negord
% 5.34/5.71
% 5.34/5.71 maxweight = 15
% 5.34/5.71 maxdepth = 30000
% 5.34/5.71 maxlength = 115
% 5.34/5.71 maxnrvars = 195
% 5.34/5.71 excuselevel = 1
% 5.34/5.71 increasemaxweight = 1
% 5.34/5.71
% 5.34/5.71 maxselected = 10000000
% 5.34/5.71 maxnrclauses = 10000000
% 5.34/5.71
% 5.34/5.71 showgenerated = 0
% 5.34/5.71 showkept = 0
% 5.34/5.71 showselected = 0
% 5.34/5.71 showdeleted = 0
% 5.34/5.71 showresimp = 1
% 5.34/5.71 showstatus = 2000
% 5.34/5.71
% 5.34/5.71 prologoutput = 0
% 5.34/5.71 nrgoals = 5000000
% 5.34/5.71 totalproof = 1
% 5.34/5.71
% 5.34/5.71 Symbols occurring in the translation:
% 5.34/5.71
% 5.34/5.71 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.34/5.71 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 5.34/5.71 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 5.34/5.71 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.34/5.71 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.34/5.71 coll [38, 3] (w:1, o:63, a:1, s:1, b:0),
% 5.34/5.71 para [40, 4] (w:1, o:71, a:1, s:1, b:0),
% 5.34/5.71 perp [43, 4] (w:1, o:72, a:1, s:1, b:0),
% 5.34/5.71 midp [45, 3] (w:1, o:64, a:1, s:1, b:0),
% 5.34/5.71 cong [47, 4] (w:1, o:73, a:1, s:1, b:0),
% 5.34/5.71 circle [48, 4] (w:1, o:74, a:1, s:1, b:0),
% 5.34/5.71 cyclic [49, 4] (w:1, o:75, a:1, s:1, b:0),
% 5.34/5.71 eqangle [54, 8] (w:1, o:90, a:1, s:1, b:0),
% 5.34/5.71 eqratio [57, 8] (w:1, o:91, a:1, s:1, b:0),
% 5.34/5.71 simtri [59, 6] (w:1, o:87, a:1, s:1, b:0),
% 5.34/5.71 contri [60, 6] (w:1, o:88, a:1, s:1, b:0),
% 5.34/5.71 alpha1 [64, 3] (w:1, o:65, a:1, s:1, b:1),
% 5.34/5.71 alpha2 [65, 4] (w:1, o:76, a:1, s:1, b:1),
% 5.34/5.71 skol1 [66, 4] (w:1, o:77, a:1, s:1, b:1),
% 5.34/5.71 skol2 [67, 4] (w:1, o:79, a:1, s:1, b:1),
% 5.34/5.71 skol3 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 5.34/5.71 skol4 [69, 4] (w:1, o:82, a:1, s:1, b:1),
% 5.34/5.71 skol5 [70, 4] (w:1, o:83, a:1, s:1, b:1),
% 5.34/5.71 skol6 [71, 6] (w:1, o:89, a:1, s:1, b:1),
% 5.34/5.71 skol7 [72, 2] (w:1, o:59, a:1, s:1, b:1),
% 22.98/23.39 skol8 [73, 4] (w:1, o:84, a:1, s:1, b:1),
% 22.98/23.39 skol9 [74, 4] (w:1, o:85, a:1, s:1, b:1),
% 22.98/23.39 skol10 [75, 3] (w:1, o:66, a:1, s:1, b:1),
% 22.98/23.39 skol11 [76, 3] (w:1, o:67, a:1, s:1, b:1),
% 22.98/23.39 skol12 [77, 2] (w:1, o:60, a:1, s:1, b:1),
% 22.98/23.39 skol13 [78, 5] (w:1, o:86, a:1, s:1, b:1),
% 22.98/23.39 skol14 [79, 3] (w:1, o:68, a:1, s:1, b:1),
% 22.98/23.39 skol15 [80, 3] (w:1, o:69, a:1, s:1, b:1),
% 22.98/23.39 skol16 [81, 3] (w:1, o:70, a:1, s:1, b:1),
% 22.98/23.39 skol17 [82, 2] (w:1, o:61, a:1, s:1, b:1),
% 22.98/23.39 skol18 [83, 2] (w:1, o:62, a:1, s:1, b:1),
% 22.98/23.39 skol19 [84, 4] (w:1, o:78, a:1, s:1, b:1),
% 22.98/23.39 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 22.98/23.39 skol21 [86, 4] (w:1, o:80, a:1, s:1, b:1),
% 22.98/23.39 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 22.98/23.39 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 22.98/23.39 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 22.98/23.39 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 22.98/23.39 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1).
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Starting Search:
% 22.98/23.39
% 22.98/23.39 *** allocated 15000 integers for clauses
% 22.98/23.39 *** allocated 22500 integers for clauses
% 22.98/23.39 *** allocated 33750 integers for clauses
% 22.98/23.39 *** allocated 22500 integers for termspace/termends
% 22.98/23.39 *** allocated 50625 integers for clauses
% 22.98/23.39 *** allocated 75937 integers for clauses
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 *** allocated 33750 integers for termspace/termends
% 22.98/23.39 *** allocated 113905 integers for clauses
% 22.98/23.39 *** allocated 50625 integers for termspace/termends
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 18383
% 22.98/23.39 Kept: 2064
% 22.98/23.39 Inuse: 336
% 22.98/23.39 Deleted: 1
% 22.98/23.39 Deletedinuse: 1
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 *** allocated 170857 integers for clauses
% 22.98/23.39 *** allocated 75937 integers for termspace/termends
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 *** allocated 256285 integers for clauses
% 22.98/23.39 *** allocated 113905 integers for termspace/termends
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 36648
% 22.98/23.39 Kept: 4067
% 22.98/23.39 Inuse: 464
% 22.98/23.39 Deleted: 18
% 22.98/23.39 Deletedinuse: 1
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 *** allocated 170857 integers for termspace/termends
% 22.98/23.39 *** allocated 384427 integers for clauses
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 48196
% 22.98/23.39 Kept: 6139
% 22.98/23.39 Inuse: 534
% 22.98/23.39 Deleted: 19
% 22.98/23.39 Deletedinuse: 2
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 73931
% 22.98/23.39 Kept: 8144
% 22.98/23.39 Inuse: 728
% 22.98/23.39 Deleted: 21
% 22.98/23.39 Deletedinuse: 2
% 22.98/23.39
% 22.98/23.39 *** allocated 576640 integers for clauses
% 22.98/23.39 *** allocated 256285 integers for termspace/termends
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 91052
% 22.98/23.39 Kept: 10239
% 22.98/23.39 Inuse: 798
% 22.98/23.39 Deleted: 29
% 22.98/23.39 Deletedinuse: 6
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 99826
% 22.98/23.39 Kept: 12379
% 22.98/23.39 Inuse: 838
% 22.98/23.39 Deleted: 32
% 22.98/23.39 Deletedinuse: 9
% 22.98/23.39
% 22.98/23.39 *** allocated 864960 integers for clauses
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 111083
% 22.98/23.39 Kept: 14386
% 22.98/23.39 Inuse: 907
% 22.98/23.39 Deleted: 36
% 22.98/23.39 Deletedinuse: 9
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 *** allocated 384427 integers for termspace/termends
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 126434
% 22.98/23.39 Kept: 16401
% 22.98/23.39 Inuse: 1048
% 22.98/23.39 Deleted: 54
% 22.98/23.39 Deletedinuse: 15
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 144535
% 22.98/23.39 Kept: 18408
% 22.98/23.39 Inuse: 1161
% 22.98/23.39 Deleted: 69
% 22.98/23.39 Deletedinuse: 23
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 *** allocated 1297440 integers for clauses
% 22.98/23.39 Resimplifying clauses:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 159660
% 22.98/23.39 Kept: 20429
% 22.98/23.39 Inuse: 1288
% 22.98/23.39 Deleted: 1854
% 22.98/23.39 Deletedinuse: 37
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 176248
% 22.98/23.39 Kept: 22434
% 22.98/23.39 Inuse: 1451
% 22.98/23.39 Deleted: 1856
% 22.98/23.39 Deletedinuse: 39
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 195070
% 22.98/23.39 Kept: 24444
% 22.98/23.39 Inuse: 1620
% 22.98/23.39 Deleted: 1857
% 22.98/23.39 Deletedinuse: 39
% 22.98/23.39
% 22.98/23.39 *** allocated 576640 integers for termspace/termends
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39 Resimplifying inuse:
% 22.98/23.39 Done
% 22.98/23.39
% 22.98/23.39
% 22.98/23.39 Intermediate Status:
% 22.98/23.39 Generated: 212418
% 22.98/23.39 Kept: 26451
% 23.05/23.46 Inuse: 1768
% 23.05/23.46 Deleted: 1861
% 23.05/23.46 Deletedinuse: 43
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 227729
% 23.05/23.46 Kept: 28454
% 23.05/23.46 Inuse: 1895
% 23.05/23.46 Deleted: 1867
% 23.05/23.46 Deletedinuse: 49
% 23.05/23.46
% 23.05/23.46 *** allocated 1946160 integers for clauses
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 239621
% 23.05/23.46 Kept: 30464
% 23.05/23.46 Inuse: 2003
% 23.05/23.46 Deleted: 3557
% 23.05/23.46 Deletedinuse: 1561
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 266218
% 23.05/23.46 Kept: 32523
% 23.05/23.46 Inuse: 2207
% 23.05/23.46 Deleted: 4710
% 23.05/23.46 Deletedinuse: 1567
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 273971
% 23.05/23.46 Kept: 34540
% 23.05/23.46 Inuse: 2306
% 23.05/23.46 Deleted: 4735
% 23.05/23.46 Deletedinuse: 1567
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 284196
% 23.05/23.46 Kept: 36557
% 23.05/23.46 Inuse: 2443
% 23.05/23.46 Deleted: 4766
% 23.05/23.46 Deletedinuse: 1567
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 296695
% 23.05/23.46 Kept: 38559
% 23.05/23.46 Inuse: 2613
% 23.05/23.46 Deleted: 4797
% 23.05/23.46 Deletedinuse: 1567
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 *** allocated 864960 integers for termspace/termends
% 23.05/23.46 Resimplifying clauses:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 307966
% 23.05/23.46 Kept: 40579
% 23.05/23.46 Inuse: 2702
% 23.05/23.46 Deleted: 25739
% 23.05/23.46 Deletedinuse: 1572
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 *** allocated 2919240 integers for clauses
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 316967
% 23.05/23.46 Kept: 42588
% 23.05/23.46 Inuse: 2779
% 23.05/23.46 Deleted: 25739
% 23.05/23.46 Deletedinuse: 1572
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 327956
% 23.05/23.46 Kept: 44668
% 23.05/23.46 Inuse: 2877
% 23.05/23.46 Deleted: 25755
% 23.05/23.46 Deletedinuse: 1588
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 343556
% 23.05/23.46 Kept: 46675
% 23.05/23.46 Inuse: 2995
% 23.05/23.46 Deleted: 25755
% 23.05/23.46 Deletedinuse: 1588
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 357948
% 23.05/23.46 Kept: 48685
% 23.05/23.46 Inuse: 3081
% 23.05/23.46 Deleted: 25755
% 23.05/23.46 Deletedinuse: 1588
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 369779
% 23.05/23.46 Kept: 50705
% 23.05/23.46 Inuse: 3148
% 23.05/23.46 Deleted: 25758
% 23.05/23.46 Deletedinuse: 1588
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 379306
% 23.05/23.46 Kept: 52716
% 23.05/23.46 Inuse: 3201
% 23.05/23.46 Deleted: 25759
% 23.05/23.46 Deletedinuse: 1588
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 389975
% 23.05/23.46 Kept: 54745
% 23.05/23.46 Inuse: 3248
% 23.05/23.46 Deleted: 25759
% 23.05/23.46 Deletedinuse: 1588
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 397079
% 23.05/23.46 Kept: 56775
% 23.05/23.46 Inuse: 3289
% 23.05/23.46 Deleted: 25759
% 23.05/23.46 Deletedinuse: 1588
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 417683
% 23.05/23.46 Kept: 58799
% 23.05/23.46 Inuse: 3374
% 23.05/23.46 Deleted: 25759
% 23.05/23.46 Deletedinuse: 1588
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying clauses:
% 23.05/23.46 *** allocated 1297440 integers for termspace/termends
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 432660
% 23.05/23.46 Kept: 60819
% 23.05/23.46 Inuse: 3435
% 23.05/23.46 Deleted: 27315
% 23.05/23.46 Deletedinuse: 1588
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 441055
% 23.05/23.46 Kept: 62832
% 23.05/23.46 Inuse: 3512
% 23.05/23.46 Deleted: 27316
% 23.05/23.46 Deletedinuse: 1589
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 *** allocated 4378860 integers for clauses
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 453602
% 23.05/23.46 Kept: 64854
% 23.05/23.46 Inuse: 3588
% 23.05/23.46 Deleted: 27316
% 23.05/23.46 Deletedinuse: 1589
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 470335
% 23.05/23.46 Kept: 66869
% 23.05/23.46 Inuse: 3704
% 23.05/23.46 Deleted: 27316
% 23.05/23.46 Deletedinuse: 1589
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 477871
% 23.05/23.46 Kept: 69023
% 23.05/23.46 Inuse: 3768
% 23.05/23.46 Deleted: 27316
% 23.05/23.46 Deletedinuse: 1589
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46 Resimplifying inuse:
% 23.05/23.46 Done
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Intermediate Status:
% 23.05/23.46 Generated: 483245
% 23.05/23.46 Kept: 71036
% 23.05/23.46 Inuse: 3814
% 23.05/23.46 Deleted: 27359
% 23.05/23.46 Deletedinuse: 1629
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Bliksems!, er is een bewijs:
% 23.05/23.46 % SZS status Theorem
% 23.05/23.46 % SZS output start Refutation
% 23.05/23.46
% 23.05/23.46 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 23.05/23.46 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 23.05/23.46 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 23.05/23.46 , Z, X ) }.
% 23.05/23.46 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 23.05/23.46 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 23.05/23.46 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 23.05/23.46 para( X, Y, Z, T ) }.
% 23.05/23.46 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 23.05/23.46 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 23.05/23.46 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 23.05/23.46 para( X, Y, Z, T ) }.
% 23.05/23.46 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 23.05/23.46 perp( X, Y, Z, T ) }.
% 23.05/23.46 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 23.05/23.46 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 23.05/23.46 circle( T, X, Y, Z ) }.
% 23.05/23.46 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 23.05/23.46 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 23.05/23.46 }.
% 23.05/23.46 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 23.05/23.46 }.
% 23.05/23.46 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 23.05/23.46 }.
% 23.05/23.46 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 23.05/23.46 ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 23.05/23.46 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 23.05/23.46 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 23.05/23.46 cong( X, Y, Z, T ) }.
% 23.05/23.46 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 23.05/23.46 T, X, T, Y ) }.
% 23.05/23.46 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 23.05/23.46 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 23.05/23.46 , Y, Z, T ) }.
% 23.05/23.46 (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 23.05/23.46 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 23.05/23.46 (49) {G0,W19,D2,L3,V5,M3} I { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T
% 23.05/23.46 , U, X, U, T ), perp( Y, X, X, Z ) }.
% 23.05/23.46 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 23.05/23.46 ( X, Z, Y, Z ) }.
% 23.05/23.46 (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong
% 23.05/23.46 ( Z, X, Z, Y ) }.
% 23.05/23.46 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 23.05/23.46 perp( X, Y, Z, T ) }.
% 23.05/23.46 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 23.05/23.46 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 23.05/23.46 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 23.05/23.46 , Z, Y, T ) }.
% 23.05/23.46 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 23.05/23.46 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 23.05/23.46 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 23.05/23.46 ( X, Y, Z ) }.
% 23.05/23.46 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 23.05/23.46 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 23.05/23.46 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 23.05/23.46 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 23.05/23.46 (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 23.05/23.46 coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.05/23.46 (116) {G0,W10,D2,L2,V0,M2} I { cong( skol20, skol24, skol24, skol25 ), cong
% 23.05/23.46 ( skol20, skol24, skol20, skol25 ) }.
% 23.05/23.46 (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol20, skol26 ) }.
% 23.05/23.46 (120) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol26, skol24, skol23 ) }.
% 23.05/23.46 (121) {G0,W5,D2,L1,V0,M1} I { para( skol24, skol26, skol23, skol20 ) }.
% 23.05/23.46 (122) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol23, skol20, skol22 ) }.
% 23.05/23.46 (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 23.05/23.46 (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 23.05/23.46 ) }.
% 23.05/23.46 (135) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp( X, Z, Y, Y )
% 23.05/23.46 }.
% 23.05/23.46 (136) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 23.05/23.46 , Y ), perp( Y, X, X, Y ) }.
% 23.05/23.46 (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 23.05/23.46 , midp( X, T, T ) }.
% 23.05/23.46 (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 23.05/23.46 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 23.05/23.46 (160) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol22, skol26, skol20 ) }.
% 23.05/23.46 (163) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y, X, Z ) }.
% 23.05/23.46 (165) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol26, skol22, skol20 ) }.
% 23.05/23.46 (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 23.05/23.46 (176) {G3,W8,D2,L2,V1,M2} R(2,165) { ! coll( skol26, skol22, X ), coll( X,
% 23.05/23.46 skol20, skol26 ) }.
% 23.05/23.46 (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( Z, T, X ), !
% 23.05/23.46 coll( X, T, Y ) }.
% 23.05/23.46 (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 23.05/23.46 coll( Z, X, T ) }.
% 23.05/23.46 (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 23.05/23.46 (210) {G1,W5,D2,L1,V0,M1} R(3,121) { para( skol24, skol26, skol20, skol23 )
% 23.05/23.46 }.
% 23.05/23.46 (216) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 23.05/23.46 coll( X, Z, T ) }.
% 23.05/23.46 (218) {G3,W4,D2,L1,V0,M1} R(198,165) { coll( skol20, skol26, skol20 ) }.
% 23.05/23.46 (228) {G3,W4,D2,L1,V0,M1} R(198,118) { coll( skol26, skol22, skol26 ) }.
% 23.05/23.46 (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 23.05/23.46 (235) {G2,W5,D2,L1,V0,M1} R(4,210) { para( skol20, skol23, skol24, skol26 )
% 23.05/23.46 }.
% 23.05/23.46 (236) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para( Z, T, Y, X
% 23.05/23.46 ) }.
% 23.05/23.46 (237) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 23.05/23.46 ) }.
% 23.05/23.46 (238) {G1,W5,D2,L1,V0,M1} R(4,121) { para( skol23, skol20, skol24, skol26 )
% 23.05/23.46 }.
% 23.05/23.46 (273) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 23.05/23.46 ) }.
% 23.05/23.46 (275) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol24, skol23, skol24, skol26 )
% 23.05/23.46 }.
% 23.05/23.46 (278) {G4,W4,D2,L1,V0,M1} R(218,198) { coll( skol20, skol20, skol20 ) }.
% 23.05/23.46 (281) {G4,W4,D2,L1,V0,M1} R(218,0) { coll( skol20, skol20, skol26 ) }.
% 23.05/23.46 (296) {G5,W8,D2,L2,V1,M2} R(281,2) { ! coll( skol20, skol20, X ), coll(
% 23.05/23.46 skol26, X, skol20 ) }.
% 23.05/23.46 (307) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp( X, Y, U, W
% 23.05/23.46 ), ! perp( U, W, Z, T ) }.
% 23.05/23.46 (314) {G1,W10,D2,L2,V2,M2} R(9,121) { ! perp( skol23, skol20, X, Y ), perp
% 23.05/23.46 ( skol24, skol26, X, Y ) }.
% 23.05/23.46 (342) {G4,W4,D2,L1,V0,M1} R(228,0) { coll( skol26, skol26, skol22 ) }.
% 23.05/23.46 (344) {G5,W8,D2,L2,V1,M2} R(342,2) { ! coll( skol26, skol26, X ), coll(
% 23.05/23.46 skol22, X, skol26 ) }.
% 23.05/23.46 (353) {G2,W10,D2,L2,V2,M2} R(275,8) { ! perp( skol24, skol26, X, Y ), para
% 23.05/23.46 ( skol24, skol23, X, Y ) }.
% 23.05/23.46 (355) {G2,W5,D2,L1,V0,M1} R(275,6) { perp( skol24, skol23, skol26, skol24 )
% 23.05/23.46 }.
% 23.05/23.46 (357) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 23.05/23.46 , T, Y ) }.
% 23.05/23.46 (361) {G3,W5,D2,L1,V0,M1} R(355,7) { perp( skol26, skol24, skol24, skol23 )
% 23.05/23.46 }.
% 23.05/23.46 (363) {G4,W10,D2,L2,V2,M2} R(361,8) { ! perp( skol24, skol23, X, Y ), para
% 23.05/23.46 ( skol26, skol24, X, Y ) }.
% 23.05/23.46 (365) {G4,W5,D2,L1,V0,M1} R(361,6) { perp( skol26, skol24, skol23, skol24 )
% 23.05/23.46 }.
% 23.05/23.46 (367) {G5,W10,D2,L2,V2,M2} R(365,8) { ! perp( skol23, skol24, X, Y ), para
% 23.05/23.46 ( skol26, skol24, X, Y ) }.
% 23.05/23.46 (369) {G5,W5,D2,L1,V0,M1} R(365,7) { perp( skol23, skol24, skol26, skol24 )
% 23.05/23.46 }.
% 23.05/23.46 (371) {G6,W10,D2,L2,V2,M2} R(369,8) { ! perp( skol26, skol24, X, Y ), para
% 23.05/23.46 ( skol23, skol24, X, Y ) }.
% 23.05/23.46 (373) {G6,W5,D2,L1,V0,M1} R(369,6) { perp( skol23, skol24, skol24, skol26 )
% 23.05/23.46 }.
% 23.05/23.46 (374) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 23.05/23.46 , X, T ) }.
% 23.05/23.46 (383) {G7,W10,D2,L2,V2,M2} R(373,8) { ! perp( skol24, skol26, X, Y ), para
% 23.05/23.46 ( skol23, skol24, X, Y ) }.
% 23.05/23.46 (391) {G3,W5,D2,L1,V0,M1} R(235,3) { para( skol20, skol23, skol26, skol24 )
% 23.05/23.46 }.
% 23.05/23.46 (393) {G4,W10,D2,L2,V2,M2} R(391,5) { ! para( skol26, skol24, X, Y ), para
% 23.05/23.46 ( skol20, skol23, X, Y ) }.
% 23.05/23.46 (395) {G4,W5,D2,L1,V0,M1} R(391,4) { para( skol26, skol24, skol20, skol23 )
% 23.05/23.46 }.
% 23.05/23.46 (400) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 23.05/23.46 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 23.05/23.46 (403) {G1,W15,D2,L3,V5,M3} R(16,14) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 23.05/23.46 Y, Z, U ), cyclic( Y, T, Z, U ) }.
% 23.05/23.46 (408) {G2,W10,D2,L2,V4,M2} F(403) { ! cyclic( X, Y, Z, T ), cyclic( Y, T, Z
% 23.05/23.46 , T ) }.
% 23.05/23.46 (409) {G2,W10,D2,L2,V4,M2} F(400) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 23.05/23.46 , T ) }.
% 23.05/23.46 (415) {G5,W5,D2,L1,V0,M1} R(395,3) { para( skol26, skol24, skol23, skol20 )
% 23.05/23.46 }.
% 23.05/23.46 (419) {G6,W5,D2,L1,V0,M1} R(415,4) { para( skol23, skol20, skol26, skol24 )
% 23.05/23.46 }.
% 23.05/23.46 (421) {G7,W10,D2,L2,V2,M2} R(419,5) { ! para( skol26, skol24, X, Y ), para
% 23.05/23.46 ( skol23, skol20, X, Y ) }.
% 23.05/23.46 (423) {G2,W10,D2,L2,V2,M2} R(238,9) { ! perp( skol24, skol26, X, Y ), perp
% 23.05/23.46 ( skol23, skol20, X, Y ) }.
% 23.05/23.46 (435) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 23.05/23.46 (441) {G6,W8,D2,L2,V3,M2} R(435,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 23.05/23.46 (442) {G6,W8,D2,L2,V3,M2} R(435,69) { coll( X, Y, Y ), ! midp( Y, Z, X )
% 23.05/23.46 }.
% 23.05/23.46 (443) {G6,W8,D2,L2,V3,M2} R(435,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 23.05/23.46 (447) {G7,W8,D2,L2,V3,M2} R(441,435) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 23.05/23.46 }.
% 23.05/23.46 (451) {G8,W8,D2,L2,V3,M2} R(447,69) { coll( X, Y, Y ), ! midp( Z, X, Y )
% 23.05/23.46 }.
% 23.05/23.46 (452) {G9,W8,D2,L2,V3,M2} R(451,230) { ! midp( X, Y, Z ), coll( Y, Z, Y )
% 23.05/23.46 }.
% 23.05/23.46 (455) {G10,W8,D2,L2,V3,M2} R(452,0) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 23.05/23.46 }.
% 23.05/23.46 (477) {G7,W8,D2,L2,V3,M2} R(442,435) { ! midp( X, Y, Z ), coll( X, Z, Z )
% 23.05/23.46 }.
% 23.05/23.46 (480) {G8,W8,D2,L2,V3,M2} R(477,10) { coll( X, Y, Y ), ! midp( X, Y, Z )
% 23.05/23.46 }.
% 23.05/23.46 (483) {G9,W8,D2,L2,V3,M2} R(480,198) { ! midp( X, Y, Z ), coll( Y, X, Y )
% 23.05/23.46 }.
% 23.05/23.46 (491) {G1,W5,D2,L1,V0,M1} R(22,122) { ! cong( skol20, skol23, skol22,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (500) {G10,W8,D2,L2,V3,M2} R(483,0) { ! midp( X, Y, Z ), coll( Y, Y, X )
% 23.05/23.46 }.
% 23.05/23.46 (501) {G2,W5,D2,L1,V0,M1} R(23,491) { ! cong( skol22, skol20, skol20,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (503) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ), cong( Z, T, Y,
% 23.05/23.46 X ) }.
% 23.05/23.46 (504) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), ! cong( X, Z, X
% 23.05/23.46 , T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 23.05/23.46 (505) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), ! cong( X, Z, X
% 23.05/23.46 , T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 23.05/23.46 (513) {G3,W5,D2,L1,V0,M1} R(501,22) { ! cong( skol22, skol20, skol23,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (514) {G4,W5,D2,L1,V0,M1} R(513,23) { ! cong( skol23, skol20, skol22,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (522) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( U, W, Z,
% 23.05/23.46 T ), ! cong( X, Y, U, W ) }.
% 23.05/23.46 (523) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( X, Y, U,
% 23.05/23.46 W ), ! cong( U, W, Z, T ) }.
% 23.05/23.46 (536) {G2,W10,D2,L2,V4,M2} F(523) { ! cong( X, Y, Z, T ), cong( X, Y, X, Y
% 23.05/23.46 ) }.
% 23.05/23.46 (537) {G2,W10,D2,L2,V4,M2} F(522) { ! cong( X, Y, Z, T ), cong( Z, T, Z, T
% 23.05/23.46 ) }.
% 23.05/23.46 (540) {G11,W8,D2,L2,V3,M2} R(500,10) { coll( X, X, Y ), ! midp( Y, Z, X )
% 23.05/23.46 }.
% 23.05/23.46 (543) {G12,W12,D2,L3,V4,M3} R(540,2) { ! midp( X, Y, Z ), ! coll( Z, Z, T )
% 23.05/23.46 , coll( X, T, Z ) }.
% 23.05/23.46 (546) {G7,W8,D2,L2,V3,M2} R(443,443) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 23.05/23.46 }.
% 23.05/23.46 (549) {G8,W12,D2,L3,V4,M3} R(546,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 23.05/23.46 , coll( T, Y, X ) }.
% 23.05/23.46 (550) {G9,W8,D2,L2,V3,M2} F(549) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 23.05/23.46 (554) {G10,W8,D2,L2,V3,M2} R(550,441) { coll( X, X, Y ), ! coll( Z, X, Y )
% 23.05/23.46 }.
% 23.05/23.46 (925) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 23.05/23.46 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 23.05/23.46 (958) {G2,W15,D2,L3,V3,M3} F(925) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 23.05/23.46 , Z, Y ), cong( X, Y, X, Y ) }.
% 23.05/23.46 (994) {G3,W12,D2,L3,V1,M3} R(45,235) { ! midp( skol20, X, skol24 ), ! coll
% 23.05/23.46 ( skol23, X, skol26 ), midp( skol23, X, skol26 ) }.
% 23.05/23.46 (1041) {G2,W12,D2,L3,V1,M3} R(45,210) { ! midp( skol24, X, skol20 ), ! coll
% 23.05/23.46 ( skol26, X, skol23 ), midp( skol26, X, skol23 ) }.
% 23.05/23.46 (1056) {G1,W12,D2,L3,V1,M3} R(45,121) { ! midp( skol24, X, skol23 ), ! coll
% 23.05/23.46 ( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 23.05/23.46 (1156) {G1,W15,D2,L3,V4,M3} R(49,40) { ! circle( X, Y, Z, T ), perp( X, Y,
% 23.05/23.46 Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 23.05/23.46 (1254) {G5,W9,D2,L2,V1,M2} R(52,514) { ! perp( skol23, skol22, skol22, X )
% 23.05/23.46 , ! midp( skol20, skol23, X ) }.
% 23.05/23.46 (1588) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 23.05/23.46 , T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 23.05/23.46 (1589) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 23.05/23.46 , T ), perp( Y, T, X, Z ) }.
% 23.05/23.46 (1591) {G2,W15,D2,L3,V5,M3} F(1588) { ! cong( X, Y, Z, Y ), ! perp( T, U, X
% 23.05/23.46 , Z ), para( T, U, Y, Y ) }.
% 23.05/23.46 (1828) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), ! midp( X, T, U )
% 23.05/23.46 , ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U ) }.
% 23.05/23.46 (1831) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 23.05/23.46 ), ! midp( X, U, T ) }.
% 23.05/23.46 (1841) {G2,W9,D2,L2,V3,M2} F(1831) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 23.05/23.46 }.
% 23.05/23.46 (1844) {G2,W12,D2,L3,V4,M3} F(1828);r(163) { ! midp( X, X, Y ), ! midp( X,
% 23.05/23.46 Z, T ), midp( Z, X, T ) }.
% 23.05/23.46 (3367) {G6,W8,D2,L2,V2,M2} R(344,123) { coll( skol22, X, skol26 ), ! coll(
% 23.05/23.46 X, Y, skol26 ) }.
% 23.05/23.46 (3398) {G7,W8,D2,L2,V2,M2} R(3367,167) { ! coll( X, Y, skol26 ), coll( X,
% 23.05/23.46 skol26, skol22 ) }.
% 23.05/23.46 (3414) {G8,W8,D2,L2,V2,M2} R(3398,123) { coll( X, skol26, skol22 ), ! coll
% 23.05/23.46 ( skol26, Y, X ) }.
% 23.05/23.46 (3430) {G9,W8,D2,L2,V2,M2} R(3414,123) { ! coll( skol26, X, Y ), coll(
% 23.05/23.46 skol22, skol22, Y ) }.
% 23.05/23.46 (3511) {G10,W8,D2,L2,V2,M2} R(3430,167) { coll( skol22, skol22, X ), ! coll
% 23.05/23.46 ( X, skol26, Y ) }.
% 23.05/23.46 (3857) {G6,W7,D3,L1,V1,M1} R(94,369);r(365) { coll( skol10( X, skol26,
% 23.05/23.46 skol24 ), skol24, skol26 ) }.
% 23.05/23.46 (3922) {G11,W4,D2,L1,V0,M1} R(3857,554) { coll( skol24, skol24, skol26 )
% 23.05/23.46 }.
% 23.05/23.46 (3947) {G12,W4,D2,L1,V0,M1} R(3922,3398) { coll( skol24, skol26, skol22 )
% 23.05/23.46 }.
% 23.05/23.46 (4009) {G13,W4,D2,L1,V0,M1} R(3947,167) { coll( skol26, skol22, skol24 )
% 23.05/23.46 }.
% 23.05/23.46 (9208) {G14,W4,D2,L1,V0,M1} R(176,4009) { coll( skol24, skol20, skol26 )
% 23.05/23.46 }.
% 23.05/23.46 (9261) {G15,W4,D2,L1,V0,M1} R(9208,546) { coll( skol24, skol20, skol20 )
% 23.05/23.46 }.
% 23.05/23.46 (9262) {G15,W4,D2,L1,V0,M1} R(9208,443) { coll( skol20, skol24, skol24 )
% 23.05/23.46 }.
% 23.05/23.46 (17899) {G6,W8,D2,L2,V2,M2} R(296,192);r(0) { coll( skol26, X, skol20 ), !
% 23.05/23.46 coll( X, skol20, Y ) }.
% 23.05/23.46 (17950) {G7,W8,D2,L2,V2,M2} R(17899,167) { ! coll( X, skol20, Y ), coll( X
% 23.05/23.46 , skol20, skol26 ) }.
% 23.05/23.46 (17963) {G8,W12,D2,L3,V3,M3} R(17950,193) { ! coll( X, skol20, Y ), ! coll
% 23.05/23.46 ( X, skol20, Z ), coll( skol26, X, Z ) }.
% 23.05/23.46 (18018) {G9,W8,D2,L2,V2,M2} F(17963) { ! coll( X, skol20, Y ), coll( skol26
% 23.05/23.46 , X, Y ) }.
% 23.05/23.46 (28785) {G3,W5,D2,L1,V0,M1} R(536,116);r(536) { cong( skol20, skol24,
% 23.05/23.46 skol20, skol24 ) }.
% 23.05/23.46 (28819) {G4,W5,D2,L1,V0,M1} R(28785,503) { cong( skol20, skol24, skol24,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (28841) {G16,W4,D2,L1,V0,M1} R(28785,67);r(9262) { midp( skol20, skol24,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (28953) {G5,W5,D2,L1,V0,M1} R(28819,537) { cong( skol24, skol20, skol24,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (28988) {G16,W4,D2,L1,V0,M1} R(28953,67);r(9261) { midp( skol24, skol20,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (29012) {G17,W6,D3,L1,V1,M1} R(28988,145);f;r(278) { midp( skol7( skol20, X
% 23.05/23.46 ), skol20, X ) }.
% 23.05/23.46 (29677) {G18,W4,D2,L1,V1,M1} R(29012,455) { coll( skol20, skol20, X ) }.
% 23.05/23.46 (29681) {G18,W6,D3,L1,V1,M1} R(29012,10) { midp( skol7( skol20, X ), X,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (29697) {G19,W4,D2,L1,V1,M1} R(543,28988);r(29677) { coll( skol24, X,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (29950) {G20,W4,D2,L1,V1,M1} R(29697,167) { coll( X, skol20, skol24 ) }.
% 23.05/23.46 (29961) {G21,W4,D2,L1,V1,M1} R(29950,18018) { coll( skol26, X, skol24 ) }.
% 23.05/23.46 (30000) {G22,W4,D2,L1,V1,M1} R(29961,167) { coll( X, skol24, skol26 ) }.
% 23.05/23.46 (30023) {G23,W4,D2,L1,V1,M1} R(30000,3398) { coll( X, skol26, skol22 ) }.
% 23.05/23.46 (30216) {G24,W4,D2,L1,V1,M1} R(30023,3511) { coll( skol22, skol22, X ) }.
% 23.05/23.46 (30255) {G25,W4,D2,L1,V2,M1} R(30216,193);r(30216) { coll( Y, skol22, X )
% 23.05/23.46 }.
% 23.05/23.46 (30270) {G26,W4,D2,L1,V3,M1} R(30255,193);r(30255) { coll( Z, X, Y ) }.
% 23.05/23.46 (30344) {G27,W10,D3,L2,V2,M2} R(29681,145);r(30270) { ! coll( skol20, X,
% 23.05/23.46 skol20 ), midp( skol7( X, Y ), X, Y ) }.
% 23.05/23.46 (32333) {G27,W8,D2,L2,V1,M2} S(994);r(30270) { ! midp( skol20, X, skol24 )
% 23.05/23.46 , midp( skol23, X, skol26 ) }.
% 23.05/23.46 (32347) {G28,W4,D2,L1,V0,M1} R(32333,28841) { midp( skol23, skol24, skol26
% 23.05/23.46 ) }.
% 23.05/23.46 (32390) {G29,W5,D2,L1,V0,M1} R(32347,68) { cong( skol23, skol24, skol23,
% 23.05/23.46 skol26 ) }.
% 23.05/23.46 (32399) {G29,W4,D2,L1,V0,M1} R(32347,10) { midp( skol23, skol26, skol24 )
% 23.05/23.46 }.
% 23.05/23.46 (32421) {G30,W5,D2,L1,V0,M1} R(32399,68) { cong( skol23, skol26, skol23,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (32429) {G31,W5,D2,L1,V0,M1} R(32421,536) { cong( skol23, skol26, skol23,
% 23.05/23.46 skol26 ) }.
% 23.05/23.46 (32467) {G31,W15,D2,L3,V2,M3} R(32421,505) { ! cong( skol23, X, skol23,
% 23.05/23.46 skol26 ), ! cong( skol23, skol26, skol23, Y ), cyclic( skol26, skol24, X
% 23.05/23.46 , Y ) }.
% 23.05/23.46 (32471) {G31,W15,D2,L3,V2,M3} R(32421,504) { ! cong( skol23, X, skol23,
% 23.05/23.46 skol26 ), ! cong( skol23, skol26, skol23, Y ), cyclic( skol26, X, Y,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (32472) {G31,W5,D2,L1,V0,M1} R(32421,503) { cong( skol23, skol24, skol26,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (32518) {G32,W5,D2,L1,V0,M1} F(32471);r(32429) { cyclic( skol26, skol26,
% 23.05/23.46 skol26, skol24 ) }.
% 23.05/23.46 (32520) {G32,W5,D2,L1,V0,M1} F(32467);r(32429) { cyclic( skol26, skol24,
% 23.05/23.46 skol26, skol26 ) }.
% 23.05/23.46 (32744) {G32,W5,D2,L1,V0,M1} R(32429,503) { cong( skol23, skol26, skol26,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (32766) {G33,W5,D2,L1,V0,M1} R(32744,537) { cong( skol26, skol23, skol26,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (32948) {G33,W5,D2,L1,V0,M1} R(32520,408) { cyclic( skol24, skol26, skol26
% 23.05/23.46 , skol26 ) }.
% 23.05/23.46 (32969) {G33,W5,D2,L1,V0,M1} R(32518,409) { cyclic( skol26, skol26, skol24
% 23.05/23.46 , skol24 ) }.
% 23.05/23.46 (33000) {G34,W5,D2,L1,V0,M1} R(32969,374) { cyclic( skol24, skol26, skol26
% 23.05/23.46 , skol24 ) }.
% 23.05/23.46 (33006) {G35,W5,D2,L1,V0,M1} R(33000,958);r(32948) { cong( skol24, skol26,
% 23.05/23.46 skol24, skol26 ) }.
% 23.05/23.46 (33013) {G35,W5,D2,L1,V0,M1} R(33000,357) { cyclic( skol24, skol26, skol24
% 23.05/23.46 , skol26 ) }.
% 23.05/23.46 (33028) {G36,W5,D2,L1,V0,M1} R(33006,503) { cong( skol24, skol26, skol26,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (33052) {G37,W5,D2,L1,V0,M1} R(33028,537) { cong( skol26, skol24, skol26,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (33074) {G38,W5,D2,L1,V0,M1} R(33052,136);r(32969) { perp( skol24, skol26,
% 23.05/23.46 skol26, skol24 ) }.
% 23.05/23.46 (33092) {G39,W5,D2,L1,V0,M1} R(33074,423) { perp( skol23, skol20, skol26,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (33171) {G40,W5,D2,L1,V0,M1} R(33092,273) { perp( skol24, skol26, skol23,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (34692) {G41,W9,D2,L2,V0,M2} R(33171,55) { ! midp( skol26, skol23, skol20 )
% 23.05/23.46 , cong( skol24, skol23, skol24, skol20 ) }.
% 23.05/23.46 (35053) {G32,W5,D2,L1,V0,M1} R(32472,503) { cong( skol26, skol23, skol24,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (35073) {G33,W5,D2,L1,V0,M1} R(35053,135) { perp( skol26, skol24, skol23,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (35083) {G27,W8,D2,L2,V1,M2} S(1041);r(30270) { ! midp( skol24, X, skol20 )
% 23.05/23.46 , midp( skol26, X, skol23 ) }.
% 23.05/23.46 (35090) {G34,W5,D2,L1,V0,M1} R(35073,371) { para( skol23, skol24, skol23,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (35302) {G35,W5,D2,L1,V0,M1} R(35090,237) { para( skol23, skol23, skol24,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (35303) {G35,W5,D2,L1,V0,M1} R(35090,236) { para( skol23, skol23, skol23,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (35306) {G36,W8,D2,L2,V1,M2} R(35090,64);r(35303) { ! midp( X, skol23,
% 23.05/23.46 skol23 ), midp( X, skol23, skol24 ) }.
% 23.05/23.46 (35338) {G36,W8,D2,L2,V1,M2} R(35302,139) { ! midp( X, skol23, skol24 ),
% 23.05/23.46 midp( X, skol23, skol23 ) }.
% 23.05/23.46 (35593) {G30,W5,D2,L1,V0,M1} R(32390,125) { circle( skol23, skol24, skol26
% 23.05/23.46 , skol26 ) }.
% 23.05/23.46 (36064) {G27,W8,D2,L2,V1,M2} S(1056);r(30270) { ! midp( skol24, X, skol23 )
% 23.05/23.46 , midp( skol26, X, skol20 ) }.
% 23.05/23.46 (38837) {G28,W8,D2,L2,V1,M2} R(36064,10) { midp( skol26, X, skol20 ), !
% 23.05/23.46 midp( skol24, skol23, X ) }.
% 23.05/23.46 (38856) {G29,W8,D2,L2,V1,M2} R(38837,10) { ! midp( skol24, skol23, X ),
% 23.05/23.46 midp( skol26, skol20, X ) }.
% 23.05/23.46 (39069) {G28,W4,D2,L1,V0,M1} R(35083,28988) { midp( skol26, skol20, skol23
% 23.05/23.46 ) }.
% 23.05/23.46 (39114) {G29,W4,D2,L1,V0,M1} R(39069,10) { midp( skol26, skol23, skol20 )
% 23.05/23.46 }.
% 23.05/23.46 (39135) {G30,W5,D2,L1,V0,M1} R(39114,68) { cong( skol26, skol23, skol26,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (39189) {G31,W15,D2,L3,V2,M3} R(39135,504) { ! cong( skol26, X, skol26,
% 23.05/23.46 skol23 ), ! cong( skol26, skol23, skol26, Y ), cyclic( skol23, X, Y,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (39233) {G34,W5,D2,L1,V0,M1} F(39189);r(32766) { cyclic( skol23, skol23,
% 23.05/23.46 skol23, skol20 ) }.
% 23.05/23.46 (39268) {G35,W5,D2,L1,V0,M1} R(39233,408) { cyclic( skol23, skol20, skol23
% 23.05/23.46 , skol20 ) }.
% 23.05/23.46 (40021) {G42,W5,D2,L1,V0,M1} S(34692);r(39114) { cong( skol24, skol23,
% 23.05/23.46 skol24, skol20 ) }.
% 23.05/23.46 (40027) {G28,W6,D3,L1,V2,M1} S(30344);r(30270) { midp( skol7( X, Y ), X, Y
% 23.05/23.46 ) }.
% 23.05/23.46 (40236) {G43,W5,D2,L1,V0,M1} R(40021,503) { cong( skol24, skol20, skol23,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (40264) {G43,W5,D2,L1,V0,M1} R(40021,125) { circle( skol24, skol23, skol20
% 23.05/23.46 , skol20 ) }.
% 23.05/23.46 (40308) {G44,W5,D2,L1,V0,M1} R(40236,503) { cong( skol23, skol24, skol20,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (40329) {G45,W5,D2,L1,V0,M1} R(40308,135) { perp( skol23, skol20, skol24,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (40343) {G46,W5,D2,L1,V0,M1} R(40329,314) { perp( skol24, skol26, skol24,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (40409) {G47,W5,D2,L1,V0,M1} R(40343,383) { para( skol23, skol24, skol24,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (40410) {G47,W5,D2,L1,V0,M1} R(40343,353) { para( skol24, skol23, skol24,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (40504) {G48,W5,D2,L1,V0,M1} R(40409,237) { para( skol24, skol24, skol24,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (40505) {G48,W5,D2,L1,V0,M1} R(40409,236) { para( skol24, skol24, skol23,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (40538) {G49,W8,D2,L2,V1,M2} R(40504,64);r(40410) { ! midp( X, skol24,
% 23.05/23.46 skol24 ), midp( X, skol24, skol23 ) }.
% 23.05/23.46 (40600) {G49,W8,D2,L2,V1,M2} R(40505,139) { ! midp( X, skol24, skol23 ),
% 23.05/23.46 midp( X, skol24, skol24 ) }.
% 23.05/23.46 (41014) {G44,W5,D2,L1,V0,M1} R(1156,40264);r(39268) { perp( skol24, skol23
% 23.05/23.46 , skol23, skol23 ) }.
% 23.05/23.46 (41033) {G36,W5,D2,L1,V0,M1} R(1156,35593);r(33013) { perp( skol23, skol24
% 23.05/23.46 , skol24, skol24 ) }.
% 23.05/23.46 (41244) {G45,W5,D2,L1,V0,M1} R(41014,363) { para( skol26, skol24, skol23,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (41289) {G46,W5,D2,L1,V0,M1} R(41244,421) { para( skol23, skol20, skol23,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (41290) {G46,W5,D2,L1,V0,M1} R(41244,393) { para( skol20, skol23, skol23,
% 23.05/23.46 skol23 ) }.
% 23.05/23.46 (41358) {G47,W5,D2,L1,V0,M1} R(41289,236) { para( skol23, skol23, skol23,
% 23.05/23.46 skol20 ) }.
% 23.05/23.46 (41360) {G48,W8,D2,L2,V1,M2} R(41289,64);r(41358) { ! midp( X, skol23,
% 23.05/23.46 skol23 ), midp( X, skol20, skol23 ) }.
% 23.05/23.46 (41831) {G47,W8,D2,L2,V1,M2} R(41290,139) { ! midp( X, skol20, skol23 ),
% 23.05/23.46 midp( X, skol23, skol23 ) }.
% 23.05/23.46 (42175) {G37,W5,D2,L1,V0,M1} R(41033,367) { para( skol26, skol24, skol24,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (42547) {G38,W8,D2,L2,V1,M2} R(42175,139) { ! midp( X, skol26, skol24 ),
% 23.05/23.46 midp( X, skol24, skol24 ) }.
% 23.05/23.46 (44007) {G29,W6,D3,L1,V2,M1} R(40027,10) { midp( skol7( X, Y ), Y, X ) }.
% 23.05/23.46 (46376) {G39,W4,D2,L1,V0,M1} R(42547,32399) { midp( skol23, skol24, skol24
% 23.05/23.46 ) }.
% 23.05/23.46 (46764) {G48,W8,D2,L2,V1,M2} R(41831,35306) { ! midp( X, skol20, skol23 ),
% 23.05/23.46 midp( X, skol23, skol24 ) }.
% 23.05/23.46 (49853) {G49,W8,D2,L2,V1,M2} R(46764,10) { midp( X, skol23, skol24 ), !
% 23.05/23.46 midp( X, skol23, skol20 ) }.
% 23.05/23.46 (49885) {G50,W8,D2,L2,V1,M2} R(49853,10) { ! midp( X, skol23, skol20 ),
% 23.05/23.46 midp( X, skol24, skol23 ) }.
% 23.05/23.46 (49967) {G49,W8,D2,L2,V1,M2} R(41360,35338) { midp( X, skol20, skol23 ), !
% 23.05/23.46 midp( X, skol23, skol24 ) }.
% 23.05/23.46 (50161) {G50,W8,D2,L2,V1,M2} R(49967,10) { ! midp( X, skol23, skol24 ),
% 23.05/23.46 midp( X, skol23, skol20 ) }.
% 23.05/23.46 (50241) {G51,W8,D2,L2,V1,M2} R(50161,10) { midp( X, skol23, skol20 ), !
% 23.05/23.46 midp( X, skol24, skol23 ) }.
% 23.05/23.46 (50375) {G51,W8,D2,L2,V1,M2} R(40600,49885) { midp( X, skol24, skol24 ), !
% 23.05/23.46 midp( X, skol23, skol20 ) }.
% 23.05/23.46 (52127) {G50,W4,D2,L1,V0,M1} R(40538,46376) { midp( skol23, skol24, skol23
% 23.05/23.46 ) }.
% 23.05/23.46 (52146) {G50,W4,D2,L1,V0,M1} R(40538,28841) { midp( skol20, skol24, skol23
% 23.05/23.46 ) }.
% 23.05/23.46 (52166) {G52,W4,D2,L1,V0,M1} R(52127,50241) { midp( skol23, skol23, skol20
% 23.05/23.46 ) }.
% 23.05/23.46 (52554) {G52,W4,D2,L1,V0,M1} R(52146,50241) { midp( skol20, skol23, skol20
% 23.05/23.46 ) }.
% 23.05/23.46 (52684) {G53,W5,D2,L1,V0,M1} R(52554,1254) { ! perp( skol23, skol22, skol22
% 23.05/23.46 , skol20 ) }.
% 23.05/23.46 (63149) {G54,W5,D2,L1,V0,M1} R(52684,6) { ! perp( skol23, skol22, skol20,
% 23.05/23.46 skol22 ) }.
% 23.05/23.46 (69443) {G30,W5,D2,L1,V2,M1} R(1841,44007) { para( X, Y, Y, X ) }.
% 23.05/23.46 (69456) {G31,W5,D2,L1,V2,M1} R(69443,237) { para( X, Y, X, Y ) }.
% 23.05/23.46 (69508) {G52,W12,D2,L3,V2,M3} R(1844,50375) { ! midp( X, X, Y ), midp(
% 23.05/23.46 skol24, X, skol24 ), ! midp( X, skol23, skol20 ) }.
% 23.05/23.46 (69694) {G53,W4,D2,L1,V0,M1} F(69508);r(52166) { midp( skol24, skol23,
% 23.05/23.46 skol24 ) }.
% 23.05/23.46 (69721) {G54,W4,D2,L1,V0,M1} R(69694,50161) { midp( skol24, skol23, skol20
% 23.05/23.46 ) }.
% 23.05/23.46 (70026) {G55,W4,D2,L1,V0,M1} R(69721,38856) { midp( skol26, skol20, skol20
% 23.05/23.46 ) }.
% 23.05/23.46 (70113) {G56,W4,D2,L1,V1,M1} R(70026,139);r(69456) { midp( skol26, X, X )
% 23.05/23.46 }.
% 23.05/23.46 (70179) {G57,W5,D2,L1,V1,M1} R(70113,68) { cong( skol26, X, skol26, X ) }.
% 23.05/23.46 (71317) {G58,W5,D2,L1,V2,M1} R(70179,1589);r(70179) { perp( Y, X, skol26,
% 23.05/23.46 skol26 ) }.
% 23.05/23.46 (71361) {G59,W5,D2,L1,V3,M1} R(71317,1591);r(70179) { para( Y, Z, X, X )
% 23.05/23.46 }.
% 23.05/23.46 (71382) {G60,W5,D2,L1,V4,M1} R(71317,307);r(71361) { perp( X, Y, Z, T ) }.
% 23.05/23.46 (71405) {G61,W0,D0,L0,V0,M0} R(71382,63149) { }.
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 % SZS output end Refutation
% 23.05/23.46 found a proof!
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Unprocessed initial clauses:
% 23.05/23.46
% 23.05/23.46 (71407) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 23.05/23.46 (71408) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 23.05/23.46 (71409) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 23.05/23.46 ( Y, Z, X ) }.
% 23.05/23.46 (71410) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 23.05/23.46 }.
% 23.05/23.46 (71411) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 23.05/23.46 }.
% 23.05/23.46 (71412) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 23.05/23.46 , para( X, Y, Z, T ) }.
% 23.05/23.46 (71413) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 23.05/23.46 }.
% 23.05/23.46 (71414) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 23.05/23.46 }.
% 23.05/23.46 (71415) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 23.05/23.46 , para( X, Y, Z, T ) }.
% 23.05/23.46 (71416) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 23.05/23.46 , perp( X, Y, Z, T ) }.
% 23.05/23.46 (71417) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 23.05/23.46 (71418) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 23.05/23.46 , circle( T, X, Y, Z ) }.
% 23.05/23.46 (71419) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 23.05/23.46 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 (71420) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 23.05/23.46 ) }.
% 23.05/23.46 (71421) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 23.05/23.46 ) }.
% 23.05/23.46 (71422) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 23.05/23.46 ) }.
% 23.05/23.46 (71423) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 23.05/23.46 T ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 (71424) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.05/23.46 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 23.05/23.46 (71425) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.05/23.46 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 23.05/23.46 (71426) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.05/23.46 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 23.05/23.46 (71427) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.05/23.46 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 23.05/23.46 (71428) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 23.05/23.46 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 23.05/23.46 V1 ) }.
% 23.05/23.46 (71429) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 23.05/23.46 }.
% 23.05/23.46 (71430) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 23.05/23.46 }.
% 23.05/23.46 (71431) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 23.05/23.46 , cong( X, Y, Z, T ) }.
% 23.05/23.46 (71432) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 23.05/23.46 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 23.05/23.46 (71433) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 23.05/23.46 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 23.05/23.46 (71434) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 23.05/23.46 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 23.05/23.46 (71435) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 23.05/23.46 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 23.05/23.46 (71436) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 23.05/23.46 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 23.05/23.46 V1 ) }.
% 23.05/23.46 (71437) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 23.05/23.46 , Z, T, U, W ) }.
% 23.05/23.46 (71438) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 23.05/23.46 , Z, T, U, W ) }.
% 23.05/23.46 (71439) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 23.05/23.46 , Z, T, U, W ) }.
% 23.05/23.46 (71440) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 23.05/23.46 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 23.05/23.46 (71441) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 23.05/23.46 , Z, T, U, W ) }.
% 23.05/23.46 (71442) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 23.05/23.46 , Z, T, U, W ) }.
% 23.05/23.46 (71443) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 23.05/23.46 , Z, T, U, W ) }.
% 23.05/23.46 (71444) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 23.05/23.46 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 23.05/23.46 (71445) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 23.05/23.46 X, Y, Z, T ) }.
% 23.05/23.46 (71446) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 23.05/23.46 Z, T, U, W ) }.
% 23.05/23.46 (71447) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 23.05/23.46 , T, X, T, Y ) }.
% 23.05/23.46 (71448) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 23.05/23.46 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 (71449) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 23.05/23.46 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 (71450) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 23.05/23.46 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 23.05/23.46 , Y, Z, T ) }.
% 23.05/23.46 (71451) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 23.05/23.46 ( Z, T, X, Y ) }.
% 23.05/23.46 (71452) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 23.05/23.46 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 23.05/23.46 (71453) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 23.05/23.46 X, Y, Z, Y ) }.
% 23.05/23.46 (71454) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 23.05/23.46 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 23.05/23.46 (71455) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 23.05/23.46 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 23.05/23.46 (71456) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 23.05/23.46 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 23.05/23.46 (71457) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 23.05/23.46 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 23.05/23.46 (71458) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 23.05/23.46 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 23.05/23.46 (71459) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 23.05/23.46 cong( X, Z, Y, Z ) }.
% 23.05/23.46 (71460) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 23.05/23.46 perp( X, Y, Y, Z ) }.
% 23.05/23.46 (71461) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 23.05/23.46 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 23.05/23.46 (71462) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 23.05/23.46 cong( Z, X, Z, Y ) }.
% 23.05/23.46 (71463) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 23.05/23.46 , perp( X, Y, Z, T ) }.
% 23.05/23.46 (71464) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 23.05/23.46 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 23.05/23.46 (71465) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 23.05/23.46 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 23.05/23.46 , W ) }.
% 23.05/23.46 (71466) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 23.05/23.46 , X, Z, T, U, T, W ) }.
% 23.05/23.46 (71467) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 23.05/23.46 , Y, Z, T, U, U, W ) }.
% 23.05/23.46 (71468) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 23.05/23.46 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 23.05/23.46 (71469) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 23.05/23.46 , T ) }.
% 23.05/23.46 (71470) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 23.05/23.46 ( X, Z, Y, T ) }.
% 23.05/23.46 (71471) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 23.05/23.46 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 23.05/23.46 (71472) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 23.05/23.46 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 23.05/23.46 (71473) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 23.05/23.46 (71474) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 23.05/23.46 midp( X, Y, Z ) }.
% 23.05/23.46 (71475) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 23.05/23.46 (71476) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 23.05/23.46 (71477) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 23.05/23.46 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 23.05/23.46 (71478) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 23.05/23.46 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 23.05/23.46 (71479) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 23.05/23.46 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 23.05/23.46 (71480) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 23.05/23.46 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 23.05/23.46 (71481) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 23.05/23.46 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 23.05/23.46 (71482) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 23.05/23.46 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 23.05/23.46 (71483) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 23.05/23.46 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 23.05/23.46 (71484) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 23.05/23.46 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 23.05/23.46 (71485) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 23.05/23.46 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 23.05/23.46 (71486) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 23.05/23.46 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 23.05/23.46 (71487) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 23.05/23.46 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 23.05/23.46 (71488) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 23.05/23.46 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 23.05/23.46 (71489) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 23.05/23.46 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 23.05/23.46 (71490) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 23.05/23.46 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 23.05/23.46 (71491) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 23.05/23.46 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 23.05/23.46 (71492) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 23.05/23.46 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 23.05/23.46 , T ) ) }.
% 23.05/23.46 (71493) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 23.05/23.46 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 23.05/23.46 (71494) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 23.05/23.46 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 23.05/23.46 (71495) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 23.05/23.46 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 23.05/23.46 (71496) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 23.05/23.46 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 23.05/23.46 (71497) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 23.05/23.46 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 23.05/23.46 ) }.
% 23.05/23.46 (71498) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 23.05/23.46 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 23.05/23.46 }.
% 23.05/23.46 (71499) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 23.05/23.46 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 23.05/23.46 (71500) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 23.05/23.46 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 23.05/23.46 (71501) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 23.05/23.46 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 23.05/23.46 (71502) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 23.05/23.46 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.05/23.46 (71503) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 23.05/23.46 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 23.05/23.46 (71504) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 23.05/23.46 , alpha1( X, Y, Z ) }.
% 23.05/23.46 (71505) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 23.05/23.46 ), Z, X ) }.
% 23.05/23.46 (71506) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 23.05/23.46 , Z ), Z, X ) }.
% 23.05/23.46 (71507) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 23.05/23.46 alpha1( X, Y, Z ) }.
% 23.05/23.46 (71508) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 23.05/23.46 ), X, X, Y ) }.
% 23.05/23.46 (71509) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 23.05/23.46 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 23.05/23.46 ) ) }.
% 23.05/23.46 (71510) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 23.05/23.46 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 23.05/23.46 (71511) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 23.05/23.46 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 23.05/23.46 }.
% 23.05/23.46 (71512) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 23.05/23.46 (71513) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 23.05/23.46 }.
% 23.05/23.46 (71514) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 23.05/23.46 alpha2( X, Y, Z, T ) }.
% 23.05/23.46 (71515) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 23.05/23.46 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 23.05/23.46 (71516) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 23.05/23.46 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 23.05/23.46 (71517) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 23.05/23.46 coll( skol16( W, Y, Z ), Y, Z ) }.
% 23.05/23.46 (71518) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 23.05/23.46 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 23.05/23.46 (71519) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 23.05/23.46 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 23.05/23.46 (71520) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 23.05/23.46 , coll( X, Y, skol18( X, Y ) ) }.
% 23.05/23.46 (71521) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 23.05/23.46 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 23.05/23.46 (71522) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 23.05/23.46 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 23.05/23.46 }.
% 23.05/23.46 (71523) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 23.05/23.46 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 23.05/23.46 }.
% 23.05/23.46 (71524) {G0,W10,D2,L2,V0,M2} { cong( skol20, skol24, skol24, skol25 ),
% 23.05/23.46 cong( skol20, skol24, skol20, skol25 ) }.
% 23.05/23.46 (71525) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol24, skol25, skol20 ) }.
% 23.05/23.46 (71526) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol26 ) }.
% 23.05/23.46 (71527) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol25 ) }.
% 23.05/23.46 (71528) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol24, skol23 ) }.
% 23.05/23.46 (71529) {G0,W5,D2,L1,V0,M1} { para( skol24, skol26, skol23, skol20 ) }.
% 23.05/23.46 (71530) {G0,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol20, skol22 ) }.
% 23.05/23.46
% 23.05/23.46
% 23.05/23.46 Total Proof:
% 23.05/23.46
% 23.05/23.46 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.05/23.46 }.
% 23.05/23.46 parent0: (71407) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.05/23.46 }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.05/23.46 }.
% 23.05/23.46 parent0: (71408) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.05/23.46 }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 23.05/23.46 Z ), coll( Y, Z, X ) }.
% 23.05/23.46 parent0: (71409) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.05/23.46 ), coll( Y, Z, X ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 23.05/23.46 , T, Z ) }.
% 23.05/23.46 parent0: (71410) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 23.05/23.46 T, Z ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 23.05/23.46 , X, Y ) }.
% 23.05/23.46 parent0: (71411) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 23.05/23.46 X, Y ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 23.05/23.46 W, Z, T ), para( X, Y, Z, T ) }.
% 23.05/23.46 parent0: (71412) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 23.05/23.46 , Z, T ), para( X, Y, Z, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 U := U
% 23.05/23.46 W := W
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 23.05/23.46 , T, Z ) }.
% 23.05/23.46 parent0: (71413) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.05/23.46 T, Z ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 23.05/23.46 , X, Y ) }.
% 23.05/23.46 parent0: (71414) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.05/23.46 X, Y ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 23.05/23.46 W, Z, T ), para( X, Y, Z, T ) }.
% 23.05/23.46 parent0: (71415) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 23.05/23.46 , Z, T ), para( X, Y, Z, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 U := U
% 23.05/23.46 W := W
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 23.05/23.46 W, Z, T ), perp( X, Y, Z, T ) }.
% 23.05/23.46 parent0: (71416) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 23.05/23.46 , Z, T ), perp( X, Y, Z, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 U := U
% 23.05/23.46 W := W
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 23.05/23.46 ) }.
% 23.05/23.46 parent0: (71417) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.05/23.46 }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 23.05/23.46 , X, T, Z ), circle( T, X, Y, Z ) }.
% 23.05/23.46 parent0: (71418) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 23.05/23.46 , T, Z ), circle( T, X, Y, Z ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 23.05/23.46 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 parent0: (71419) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 23.05/23.46 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 U := U
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 3 ==> 3
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 23.05/23.46 X, Y, T, Z ) }.
% 23.05/23.46 parent0: (71420) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.05/23.46 , Y, T, Z ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 23.05/23.46 X, Z, Y, T ) }.
% 23.05/23.46 parent0: (71421) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.05/23.46 , Z, Y, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 23.05/23.46 Y, X, Z, T ) }.
% 23.05/23.46 parent0: (71422) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.05/23.46 , X, Z, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 23.05/23.46 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 parent0: (71423) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 23.05/23.46 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 U := U
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 23.05/23.46 , T, Z ) }.
% 23.05/23.46 parent0: (71429) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 23.05/23.46 T, Z ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 23.05/23.46 , X, Y ) }.
% 23.05/23.46 parent0: (71430) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 23.05/23.46 X, Y ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 23.05/23.46 , W, Z, T ), cong( X, Y, Z, T ) }.
% 23.05/23.46 parent0: (71431) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 23.05/23.46 , Z, T ), cong( X, Y, Z, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 U := U
% 23.05/23.46 W := W
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 23.05/23.46 ( Z, X, Z, Y, T, X, T, Y ) }.
% 23.05/23.46 parent0: (71447) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 23.05/23.46 , X, Z, Y, T, X, T, Y ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 23.05/23.46 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 23.05/23.46 ), cong( X, Y, Z, T ) }.
% 23.05/23.46 parent0: (71450) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 23.05/23.46 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 23.05/23.46 , cong( X, Y, Z, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 U := U
% 23.05/23.46 W := W
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 3 ==> 3
% 23.05/23.46 4 ==> 4
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z
% 23.05/23.46 , T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 23.05/23.46 parent0: (71452) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T
% 23.05/23.46 , Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 U := U
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 3 ==> 3
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (49) {G0,W19,D2,L3,V5,M3} I { ! circle( Y, X, T, U ), !
% 23.05/23.46 eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 23.05/23.46 parent0: (71456) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle
% 23.05/23.46 ( X, Z, X, T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 U := U
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 23.05/23.46 , X, T ), cong( X, Z, Y, Z ) }.
% 23.05/23.46 parent0: (71459) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 23.05/23.46 , T ), cong( X, Z, Y, Z ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T
% 23.05/23.46 , X, Y ), cong( Z, X, Z, Y ) }.
% 23.05/23.46 parent0: (71462) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X
% 23.05/23.46 , Y ), cong( Z, X, Z, Y ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 23.05/23.46 , T, Y, T ), perp( X, Y, Z, T ) }.
% 23.05/23.46 parent0: (71463) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 23.05/23.46 , Y, T ), perp( X, Y, Z, T ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.05/23.46 end
% 23.05/23.46 permutation0:
% 23.05/23.46 0 ==> 0
% 23.05/23.46 1 ==> 1
% 23.05/23.46 2 ==> 2
% 23.05/23.46 end
% 23.05/23.46
% 23.05/23.46 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 23.05/23.46 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 23.05/23.46 parent0: (71464) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 23.05/23.46 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 23.05/23.46 substitution0:
% 23.05/23.46 X := X
% 23.05/23.46 Y := Y
% 23.05/23.46 Z := Z
% 23.05/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 3 ==> 3
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 23.09/23.46 , T ), para( X, Z, Y, T ) }.
% 23.09/23.46 parent0: (71470) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 23.09/23.46 ), para( X, Z, Y, T ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 U := U
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 23.09/23.46 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 23.09/23.46 parent0: (71471) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 23.09/23.46 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 U := U
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 3 ==> 3
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 23.09/23.46 , Y, Z ), midp( X, Y, Z ) }.
% 23.09/23.46 parent0: (71474) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 23.09/23.46 , Z ), midp( X, Y, Z ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 23.09/23.46 , Z ) }.
% 23.09/23.46 parent0: (71475) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 23.09/23.46 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 23.09/23.46 ) }.
% 23.09/23.46 parent0: (71476) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 23.09/23.46 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 23.09/23.46 ) }.
% 23.09/23.46 parent0: (71496) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 23.09/23.46 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 U := U
% 23.09/23.46 W := W
% 23.09/23.46 V0 := V0
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 3 ==> 3
% 23.09/23.46 4 ==> 4
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 23.09/23.46 , T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.09/23.46 parent0: (71502) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 23.09/23.46 , X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 U := U
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (116) {G0,W10,D2,L2,V0,M2} I { cong( skol20, skol24, skol24,
% 23.09/23.46 skol25 ), cong( skol20, skol24, skol20, skol25 ) }.
% 23.09/23.46 parent0: (71524) {G0,W10,D2,L2,V0,M2} { cong( skol20, skol24, skol24,
% 23.09/23.46 skol25 ), cong( skol20, skol24, skol20, skol25 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol20, skol26 )
% 23.09/23.46 }.
% 23.09/23.46 parent0: (71526) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol26, skol24,
% 23.09/23.46 skol23 ) }.
% 23.09/23.46 parent0: (71528) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol24,
% 23.09/23.46 skol23 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { para( skol24, skol26, skol23,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 parent0: (71529) {G0,W5,D2,L1,V0,M1} { para( skol24, skol26, skol23,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol23, skol20,
% 23.09/23.46 skol22 ) }.
% 23.09/23.46 parent0: (71530) {G0,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol20,
% 23.09/23.46 skol22 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 factor: (72223) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 23.09/23.46 }.
% 23.09/23.46 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 23.09/23.46 , Z ), coll( Y, Z, X ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Z
% 23.09/23.46 Z := Z
% 23.09/23.46 T := Y
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 23.09/23.46 , X ) }.
% 23.09/23.46 parent0: (72223) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 factor: (72224) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 23.09/23.46 , Z, Z ) }.
% 23.09/23.46 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 23.09/23.46 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := Y
% 23.09/23.46 Y := Z
% 23.09/23.46 Z := Z
% 23.09/23.46 T := X
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 23.09/23.46 circle( X, Y, Z, Z ) }.
% 23.09/23.46 parent0: (72224) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 23.09/23.46 , Z, Z ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 factor: (72225) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z, Y
% 23.09/23.46 , Y ) }.
% 23.09/23.46 parent0[0, 1]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong(
% 23.09/23.46 X, T, Y, T ), perp( X, Y, Z, T ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Z
% 23.09/23.46 Z := Y
% 23.09/23.46 T := Y
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (135) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp
% 23.09/23.46 ( X, Z, Y, Y ) }.
% 23.09/23.46 parent0: (72225) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z,
% 23.09/23.46 Y, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 factor: (72226) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 23.09/23.46 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 23.09/23.46 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 23.09/23.46 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Y
% 23.09/23.46 T := Z
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (136) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 23.09/23.46 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 23.09/23.46 parent0: (72226) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 23.09/23.46 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 factor: (72227) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 23.09/23.46 , T ), midp( X, T, T ) }.
% 23.09/23.46 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 23.09/23.46 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := T
% 23.09/23.46 Y := T
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 U := Z
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 23.09/23.46 Y, T, Z, T ), midp( X, T, T ) }.
% 23.09/23.46 parent0: (72227) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 23.09/23.46 , T ), midp( X, T, T ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 factor: (72228) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 23.09/23.46 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 23.09/23.46 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 23.09/23.46 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 23.09/23.46 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := Y
% 23.09/23.46 Y := Z
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 U := Z
% 23.09/23.46 W := X
% 23.09/23.46 V0 := T
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 23.09/23.46 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 23.09/23.46 parent0: (72228) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 23.09/23.46 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 3 ==> 3
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72231) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol20 )
% 23.09/23.46 }.
% 23.09/23.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.46 }.
% 23.09/23.46 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol20, skol26 )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol22
% 23.09/23.46 Y := skol20
% 23.09/23.46 Z := skol26
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (160) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol22, skol26,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 parent0: (72231) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72232) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 23.09/23.46 ) }.
% 23.09/23.46 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.09/23.46 }.
% 23.09/23.46 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (163) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y
% 23.09/23.46 , X, Z ) }.
% 23.09/23.46 parent0: (72232) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := Y
% 23.09/23.46 Y := X
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72233) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol20 )
% 23.09/23.46 }.
% 23.09/23.46 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.09/23.46 }.
% 23.09/23.46 parent1[0]: (160) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol22, skol26,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol22
% 23.09/23.46 Y := skol26
% 23.09/23.46 Z := skol20
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (165) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol26, skol22,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 parent0: (72233) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72235) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 23.09/23.46 ) }.
% 23.09/23.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.46 }.
% 23.09/23.46 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := Y
% 23.09/23.46 Y := X
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 23.09/23.46 , Z, X ) }.
% 23.09/23.46 parent0: (72235) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := Y
% 23.09/23.46 Y := X
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 1
% 23.09/23.46 1 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72237) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol22, X ),
% 23.09/23.46 coll( X, skol20, skol26 ) }.
% 23.09/23.46 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.09/23.46 ), coll( Y, Z, X ) }.
% 23.09/23.46 parent1[0]: (165) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol26, skol22,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol26
% 23.09/23.46 Y := X
% 23.09/23.46 Z := skol20
% 23.09/23.46 T := skol22
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (176) {G3,W8,D2,L2,V1,M2} R(2,165) { ! coll( skol26, skol22, X
% 23.09/23.46 ), coll( X, skol20, skol26 ) }.
% 23.09/23.46 parent0: (72237) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol22, X ), coll(
% 23.09/23.46 X, skol20, skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72239) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T,
% 23.09/23.46 X ), ! coll( X, T, Y ) }.
% 23.09/23.46 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.09/23.46 ), coll( Y, Z, X ) }.
% 23.09/23.46 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Z
% 23.09/23.46 Z := T
% 23.09/23.46 T := Y
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := X
% 23.09/23.46 Y := T
% 23.09/23.46 Z := Y
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( Z
% 23.09/23.46 , T, X ), ! coll( X, T, Y ) }.
% 23.09/23.46 parent0: (72239) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T, X )
% 23.09/23.46 , ! coll( X, T, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72244) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 23.09/23.46 X ), ! coll( Z, T, Y ) }.
% 23.09/23.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.46 }.
% 23.09/23.46 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.09/23.46 ), coll( Y, Z, X ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := Z
% 23.09/23.46 Y := X
% 23.09/23.46 Z := Y
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 23.09/23.46 ( X, Y, T ), coll( Z, X, T ) }.
% 23.09/23.46 parent0: (72244) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 23.09/23.46 , ! coll( Z, T, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := Z
% 23.09/23.46 Y := T
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 2
% 23.09/23.46 1 ==> 0
% 23.09/23.46 2 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 factor: (72246) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 23.09/23.46 }.
% 23.09/23.46 parent0[0, 1]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 23.09/23.46 coll( X, Y, T ), coll( Z, X, T ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := Z
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z
% 23.09/23.46 , X, Z ) }.
% 23.09/23.46 parent0: (72246) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72247) {G1,W5,D2,L1,V0,M1} { para( skol24, skol26, skol20,
% 23.09/23.46 skol23 ) }.
% 23.09/23.46 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 23.09/23.46 T, Z ) }.
% 23.09/23.46 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { para( skol24, skol26, skol23,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol24
% 23.09/23.46 Y := skol26
% 23.09/23.46 Z := skol23
% 23.09/23.46 T := skol20
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (210) {G1,W5,D2,L1,V0,M1} R(3,121) { para( skol24, skol26,
% 23.09/23.46 skol20, skol23 ) }.
% 23.09/23.46 parent0: (72247) {G1,W5,D2,L1,V0,M1} { para( skol24, skol26, skol20,
% 23.09/23.46 skol23 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72248) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 23.09/23.46 X ), ! coll( Z, T, Y ) }.
% 23.09/23.46 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 23.09/23.46 X, Z ) }.
% 23.09/23.46 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.09/23.46 ), coll( Y, Z, X ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := Z
% 23.09/23.46 Y := X
% 23.09/23.46 Z := Y
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (216) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll
% 23.09/23.46 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 23.09/23.46 parent0: (72248) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 23.09/23.46 , ! coll( Z, T, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := Y
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := X
% 23.09/23.46 T := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72250) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol20 )
% 23.09/23.46 }.
% 23.09/23.46 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 23.09/23.46 X, Z ) }.
% 23.09/23.46 parent1[0]: (165) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol26, skol22,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol26
% 23.09/23.46 Y := skol22
% 23.09/23.46 Z := skol20
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (218) {G3,W4,D2,L1,V0,M1} R(198,165) { coll( skol20, skol26,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 parent0: (72250) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72251) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol26 )
% 23.09/23.46 }.
% 23.09/23.46 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 23.09/23.46 X, Z ) }.
% 23.09/23.46 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol20, skol26 )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol22
% 23.09/23.46 Y := skol20
% 23.09/23.46 Z := skol26
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (228) {G3,W4,D2,L1,V0,M1} R(198,118) { coll( skol26, skol22,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 parent0: (72251) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 factor: (72252) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 23.09/23.46 }.
% 23.09/23.46 parent0[1, 2]: (216) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), !
% 23.09/23.46 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := Y
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X
% 23.09/23.46 , Z, Y ) }.
% 23.09/23.46 parent0: (72252) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 23.09/23.46 }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72253) {G1,W5,D2,L1,V0,M1} { para( skol20, skol23, skol24,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 parent1[0]: (210) {G1,W5,D2,L1,V0,M1} R(3,121) { para( skol24, skol26,
% 23.09/23.46 skol20, skol23 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol24
% 23.09/23.46 Y := skol26
% 23.09/23.46 Z := skol20
% 23.09/23.46 T := skol23
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (235) {G2,W5,D2,L1,V0,M1} R(4,210) { para( skol20, skol23,
% 23.09/23.46 skol24, skol26 ) }.
% 23.09/23.46 parent0: (72253) {G1,W5,D2,L1,V0,M1} { para( skol20, skol23, skol24,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72254) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X,
% 23.09/23.46 Y, T, Z ) }.
% 23.09/23.46 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 23.09/23.46 T, Z ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := T
% 23.09/23.46 T := Z
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (236) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 23.09/23.46 ( Z, T, Y, X ) }.
% 23.09/23.46 parent0: (72254) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X, Y,
% 23.09/23.46 T, Z ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := Z
% 23.09/23.46 Y := T
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72256) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 23.09/23.46 T, X, Y ) }.
% 23.09/23.46 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 23.09/23.46 T, Z ) }.
% 23.09/23.46 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := Z
% 23.09/23.46 Y := T
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (237) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 23.09/23.46 ( Z, T, Y, X ) }.
% 23.09/23.46 parent0: (72256) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := Z
% 23.09/23.46 Y := T
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 1
% 23.09/23.46 1 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72257) {G1,W5,D2,L1,V0,M1} { para( skol23, skol20, skol24,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { para( skol24, skol26, skol23,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol24
% 23.09/23.46 Y := skol26
% 23.09/23.46 Z := skol23
% 23.09/23.46 T := skol20
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (238) {G1,W5,D2,L1,V0,M1} R(4,121) { para( skol23, skol20,
% 23.09/23.46 skol24, skol26 ) }.
% 23.09/23.46 parent0: (72257) {G1,W5,D2,L1,V0,M1} { para( skol23, skol20, skol24,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72258) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 23.09/23.46 Y, T, Z ) }.
% 23.09/23.46 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.09/23.46 T, Z ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := T
% 23.09/23.46 T := Z
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (273) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 23.09/23.46 ( Z, T, Y, X ) }.
% 23.09/23.46 parent0: (72258) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 23.09/23.46 T, Z ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := Z
% 23.09/23.46 Y := T
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72259) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol24,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol26, skol24,
% 23.09/23.46 skol23 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol24
% 23.09/23.46 Y := skol26
% 23.09/23.46 Z := skol24
% 23.09/23.46 T := skol23
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (275) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol24, skol23,
% 23.09/23.46 skol24, skol26 ) }.
% 23.09/23.46 parent0: (72259) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol24,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72260) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol20 )
% 23.09/23.46 }.
% 23.09/23.46 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 23.09/23.46 X, Z ) }.
% 23.09/23.46 parent1[0]: (218) {G3,W4,D2,L1,V0,M1} R(198,165) { coll( skol20, skol26,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol20
% 23.09/23.46 Y := skol26
% 23.09/23.46 Z := skol20
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (278) {G4,W4,D2,L1,V0,M1} R(218,198) { coll( skol20, skol20,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 parent0: (72260) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72261) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol26 )
% 23.09/23.46 }.
% 23.09/23.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.46 }.
% 23.09/23.46 parent1[0]: (218) {G3,W4,D2,L1,V0,M1} R(198,165) { coll( skol20, skol26,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol20
% 23.09/23.46 Y := skol26
% 23.09/23.46 Z := skol20
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (281) {G4,W4,D2,L1,V0,M1} R(218,0) { coll( skol20, skol20,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 parent0: (72261) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72262) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ),
% 23.09/23.46 coll( skol26, X, skol20 ) }.
% 23.09/23.46 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.09/23.46 ), coll( Y, Z, X ) }.
% 23.09/23.46 parent1[0]: (281) {G4,W4,D2,L1,V0,M1} R(218,0) { coll( skol20, skol20,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol20
% 23.09/23.46 Y := skol26
% 23.09/23.46 Z := X
% 23.09/23.46 T := skol20
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (296) {G5,W8,D2,L2,V1,M2} R(281,2) { ! coll( skol20, skol20, X
% 23.09/23.46 ), coll( skol26, X, skol20 ) }.
% 23.09/23.46 parent0: (72262) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ), coll(
% 23.09/23.46 skol26, X, skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72264) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X,
% 23.09/23.46 Y, U, W ), ! perp( U, W, Z, T ) }.
% 23.09/23.46 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 23.09/23.46 , Z, T ), perp( X, Y, Z, T ) }.
% 23.09/23.46 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := U
% 23.09/23.46 T := W
% 23.09/23.46 U := Z
% 23.09/23.46 W := T
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := U
% 23.09/23.46 Y := W
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (307) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 23.09/23.46 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 23.09/23.46 parent0: (72264) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X, Y,
% 23.09/23.46 U, W ), ! perp( U, W, Z, T ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 U := U
% 23.09/23.46 W := W
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 2 ==> 2
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72265) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol20, X, Y )
% 23.09/23.46 , perp( skol24, skol26, X, Y ) }.
% 23.09/23.46 parent0[0]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 23.09/23.46 , Z, T ), perp( X, Y, Z, T ) }.
% 23.09/23.46 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { para( skol24, skol26, skol23,
% 23.09/23.46 skol20 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol24
% 23.09/23.46 Y := skol26
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 U := skol23
% 23.09/23.46 W := skol20
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (314) {G1,W10,D2,L2,V2,M2} R(9,121) { ! perp( skol23, skol20,
% 23.09/23.46 X, Y ), perp( skol24, skol26, X, Y ) }.
% 23.09/23.46 parent0: (72265) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol20, X, Y ),
% 23.09/23.46 perp( skol24, skol26, X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72266) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol22 )
% 23.09/23.46 }.
% 23.09/23.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.46 }.
% 23.09/23.46 parent1[0]: (228) {G3,W4,D2,L1,V0,M1} R(198,118) { coll( skol26, skol22,
% 23.09/23.46 skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol26
% 23.09/23.46 Y := skol22
% 23.09/23.46 Z := skol26
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (342) {G4,W4,D2,L1,V0,M1} R(228,0) { coll( skol26, skol26,
% 23.09/23.46 skol22 ) }.
% 23.09/23.46 parent0: (72266) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol22 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72267) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ),
% 23.09/23.46 coll( skol22, X, skol26 ) }.
% 23.09/23.46 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.09/23.46 ), coll( Y, Z, X ) }.
% 23.09/23.46 parent1[0]: (342) {G4,W4,D2,L1,V0,M1} R(228,0) { coll( skol26, skol26,
% 23.09/23.46 skol22 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol26
% 23.09/23.46 Y := skol22
% 23.09/23.46 Z := X
% 23.09/23.46 T := skol26
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (344) {G5,W8,D2,L2,V1,M2} R(342,2) { ! coll( skol26, skol26, X
% 23.09/23.46 ), coll( skol22, X, skol26 ) }.
% 23.09/23.46 parent0: (72267) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ), coll(
% 23.09/23.46 skol22, X, skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72269) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol26, X, Y )
% 23.09/23.46 , para( skol24, skol23, X, Y ) }.
% 23.09/23.46 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 23.09/23.46 , Z, T ), para( X, Y, Z, T ) }.
% 23.09/23.46 parent1[0]: (275) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol24, skol23,
% 23.09/23.46 skol24, skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol24
% 23.09/23.46 Y := skol23
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 U := skol24
% 23.09/23.46 W := skol26
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (353) {G2,W10,D2,L2,V2,M2} R(275,8) { ! perp( skol24, skol26,
% 23.09/23.46 X, Y ), para( skol24, skol23, X, Y ) }.
% 23.09/23.46 parent0: (72269) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol26, X, Y ),
% 23.09/23.46 para( skol24, skol23, X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72271) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol26,
% 23.09/23.46 skol24 ) }.
% 23.09/23.46 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.09/23.46 T, Z ) }.
% 23.09/23.46 parent1[0]: (275) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol24, skol23,
% 23.09/23.46 skol24, skol26 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol24
% 23.09/23.46 Y := skol23
% 23.09/23.46 Z := skol24
% 23.09/23.46 T := skol26
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (355) {G2,W5,D2,L1,V0,M1} R(275,6) { perp( skol24, skol23,
% 23.09/23.46 skol26, skol24 ) }.
% 23.09/23.46 parent0: (72271) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol26,
% 23.09/23.46 skol24 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72273) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 23.09/23.46 ( X, Z, Y, T ) }.
% 23.09/23.46 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.09/23.46 , Y, T, Z ) }.
% 23.09/23.46 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.09/23.46 , Z, Y, T ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 Z := Z
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Z
% 23.09/23.46 Z := Y
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (357) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 23.09/23.46 cyclic( X, Z, T, Y ) }.
% 23.09/23.46 parent0: (72273) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 23.09/23.46 , Z, Y, T ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Z
% 23.09/23.46 Z := Y
% 23.09/23.46 T := T
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 1
% 23.09/23.46 1 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72274) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol24,
% 23.09/23.46 skol23 ) }.
% 23.09/23.46 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 parent1[0]: (355) {G2,W5,D2,L1,V0,M1} R(275,6) { perp( skol24, skol23,
% 23.09/23.46 skol26, skol24 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol24
% 23.09/23.46 Y := skol23
% 23.09/23.46 Z := skol26
% 23.09/23.46 T := skol24
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (361) {G3,W5,D2,L1,V0,M1} R(355,7) { perp( skol26, skol24,
% 23.09/23.46 skol24, skol23 ) }.
% 23.09/23.46 parent0: (72274) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol24,
% 23.09/23.46 skol23 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72275) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol23, X, Y )
% 23.09/23.46 , para( skol26, skol24, X, Y ) }.
% 23.09/23.46 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 23.09/23.46 , Z, T ), para( X, Y, Z, T ) }.
% 23.09/23.46 parent1[0]: (361) {G3,W5,D2,L1,V0,M1} R(355,7) { perp( skol26, skol24,
% 23.09/23.46 skol24, skol23 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol26
% 23.09/23.46 Y := skol24
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 U := skol24
% 23.09/23.46 W := skol23
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (363) {G4,W10,D2,L2,V2,M2} R(361,8) { ! perp( skol24, skol23,
% 23.09/23.46 X, Y ), para( skol26, skol24, X, Y ) }.
% 23.09/23.46 parent0: (72275) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol23, X, Y ),
% 23.09/23.46 para( skol26, skol24, X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72277) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol23,
% 23.09/23.46 skol24 ) }.
% 23.09/23.46 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.09/23.46 T, Z ) }.
% 23.09/23.46 parent1[0]: (361) {G3,W5,D2,L1,V0,M1} R(355,7) { perp( skol26, skol24,
% 23.09/23.46 skol24, skol23 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol26
% 23.09/23.46 Y := skol24
% 23.09/23.46 Z := skol24
% 23.09/23.46 T := skol23
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (365) {G4,W5,D2,L1,V0,M1} R(361,6) { perp( skol26, skol24,
% 23.09/23.46 skol23, skol24 ) }.
% 23.09/23.46 parent0: (72277) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol23,
% 23.09/23.46 skol24 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72278) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol24, X, Y )
% 23.09/23.46 , para( skol26, skol24, X, Y ) }.
% 23.09/23.46 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 23.09/23.46 , Z, T ), para( X, Y, Z, T ) }.
% 23.09/23.46 parent1[0]: (365) {G4,W5,D2,L1,V0,M1} R(361,6) { perp( skol26, skol24,
% 23.09/23.46 skol23, skol24 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol26
% 23.09/23.46 Y := skol24
% 23.09/23.46 Z := X
% 23.09/23.46 T := Y
% 23.09/23.46 U := skol23
% 23.09/23.46 W := skol24
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (367) {G5,W10,D2,L2,V2,M2} R(365,8) { ! perp( skol23, skol24,
% 23.09/23.46 X, Y ), para( skol26, skol24, X, Y ) }.
% 23.09/23.46 parent0: (72278) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol24, X, Y ),
% 23.09/23.46 para( skol26, skol24, X, Y ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := X
% 23.09/23.46 Y := Y
% 23.09/23.46 end
% 23.09/23.46 permutation0:
% 23.09/23.46 0 ==> 0
% 23.09/23.46 1 ==> 1
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 resolution: (72280) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol26,
% 23.09/23.46 skol24 ) }.
% 23.09/23.46 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.09/23.46 X, Y ) }.
% 23.09/23.46 parent1[0]: (365) {G4,W5,D2,L1,V0,M1} R(361,6) { perp( skol26, skol24,
% 23.09/23.46 skol23, skol24 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.46 X := skol26
% 23.09/23.46 Y := skol24
% 23.09/23.46 Z := skol23
% 23.09/23.46 T := skol24
% 23.09/23.46 end
% 23.09/23.46 substitution1:
% 23.09/23.46 end
% 23.09/23.46
% 23.09/23.46 subsumption: (369) {G5,W5,D2,L1,V0,M1} R(365,7) { perp( skol23, skol24,
% 23.09/23.46 skol26, skol24 ) }.
% 23.09/23.46 parent0: (72280) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol26,
% 23.09/23.46 skol24 ) }.
% 23.09/23.46 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72281) {G1,W10,D2,L2,V2,M2} { ! perp( skol26, skol24, X, Y )
% 23.09/23.47 , para( skol23, skol24, X, Y ) }.
% 23.09/23.47 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 23.09/23.47 , Z, T ), para( X, Y, Z, T ) }.
% 23.09/23.47 parent1[0]: (369) {G5,W5,D2,L1,V0,M1} R(365,7) { perp( skol23, skol24,
% 23.09/23.47 skol26, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 U := skol26
% 23.09/23.47 W := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (371) {G6,W10,D2,L2,V2,M2} R(369,8) { ! perp( skol26, skol24,
% 23.09/23.47 X, Y ), para( skol23, skol24, X, Y ) }.
% 23.09/23.47 parent0: (72281) {G1,W10,D2,L2,V2,M2} { ! perp( skol26, skol24, X, Y ),
% 23.09/23.47 para( skol23, skol24, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72283) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol24,
% 23.09/23.47 skol26 ) }.
% 23.09/23.47 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.09/23.47 T, Z ) }.
% 23.09/23.47 parent1[0]: (369) {G5,W5,D2,L1,V0,M1} R(365,7) { perp( skol23, skol24,
% 23.09/23.47 skol26, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol26
% 23.09/23.47 T := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (373) {G6,W5,D2,L1,V0,M1} R(369,6) { perp( skol23, skol24,
% 23.09/23.47 skol24, skol26 ) }.
% 23.09/23.47 parent0: (72283) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol24,
% 23.09/23.47 skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72284) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 23.09/23.47 ( X, Z, Y, T ) }.
% 23.09/23.47 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.09/23.47 , X, Z, T ) }.
% 23.09/23.47 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.09/23.47 , Z, Y, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (374) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 23.09/23.47 cyclic( Y, Z, X, T ) }.
% 23.09/23.47 parent0: (72284) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 23.09/23.47 , Z, Y, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72285) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol26, X, Y )
% 23.09/23.47 , para( skol23, skol24, X, Y ) }.
% 23.09/23.47 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 23.09/23.47 , Z, T ), para( X, Y, Z, T ) }.
% 23.09/23.47 parent1[0]: (373) {G6,W5,D2,L1,V0,M1} R(369,6) { perp( skol23, skol24,
% 23.09/23.47 skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 U := skol24
% 23.09/23.47 W := skol26
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (383) {G7,W10,D2,L2,V2,M2} R(373,8) { ! perp( skol24, skol26,
% 23.09/23.47 X, Y ), para( skol23, skol24, X, Y ) }.
% 23.09/23.47 parent0: (72285) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol26, X, Y ),
% 23.09/23.47 para( skol23, skol24, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72287) {G1,W5,D2,L1,V0,M1} { para( skol20, skol23, skol26,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 23.09/23.47 T, Z ) }.
% 23.09/23.47 parent1[0]: (235) {G2,W5,D2,L1,V0,M1} R(4,210) { para( skol20, skol23,
% 23.09/23.47 skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol23
% 23.09/23.47 Z := skol24
% 23.09/23.47 T := skol26
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (391) {G3,W5,D2,L1,V0,M1} R(235,3) { para( skol20, skol23,
% 23.09/23.47 skol26, skol24 ) }.
% 23.09/23.47 parent0: (72287) {G1,W5,D2,L1,V0,M1} { para( skol20, skol23, skol26,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72288) {G1,W10,D2,L2,V2,M2} { ! para( skol26, skol24, X, Y )
% 23.09/23.47 , para( skol20, skol23, X, Y ) }.
% 23.09/23.47 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 23.09/23.47 , Z, T ), para( X, Y, Z, T ) }.
% 23.09/23.47 parent1[0]: (391) {G3,W5,D2,L1,V0,M1} R(235,3) { para( skol20, skol23,
% 23.09/23.47 skol26, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol23
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 U := skol26
% 23.09/23.47 W := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (393) {G4,W10,D2,L2,V2,M2} R(391,5) { ! para( skol26, skol24,
% 23.09/23.47 X, Y ), para( skol20, skol23, X, Y ) }.
% 23.09/23.47 parent0: (72288) {G1,W10,D2,L2,V2,M2} { ! para( skol26, skol24, X, Y ),
% 23.09/23.47 para( skol20, skol23, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72290) {G1,W5,D2,L1,V0,M1} { para( skol26, skol24, skol20,
% 23.09/23.47 skol23 ) }.
% 23.09/23.47 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.09/23.47 X, Y ) }.
% 23.09/23.47 parent1[0]: (391) {G3,W5,D2,L1,V0,M1} R(235,3) { para( skol20, skol23,
% 23.09/23.47 skol26, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol23
% 23.09/23.47 Z := skol26
% 23.09/23.47 T := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (395) {G4,W5,D2,L1,V0,M1} R(391,4) { para( skol26, skol24,
% 23.09/23.47 skol20, skol23 ) }.
% 23.09/23.47 parent0: (72290) {G1,W5,D2,L1,V0,M1} { para( skol26, skol24, skol20,
% 23.09/23.47 skol23 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72294) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 23.09/23.47 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 23.09/23.47 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.09/23.47 , X, Z, T ) }.
% 23.09/23.47 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 23.09/23.47 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := U
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (400) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 23.09/23.47 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 23.09/23.47 parent0: (72294) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 23.09/23.47 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := T
% 23.09/23.47 T := U
% 23.09/23.47 U := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 2
% 23.09/23.47 1 ==> 0
% 23.09/23.47 2 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72299) {G1,W15,D2,L3,V5,M3} { cyclic( X, Z, Y, T ), ! cyclic
% 23.09/23.47 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 23.09/23.47 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.09/23.47 , Z, Y, T ) }.
% 23.09/23.47 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 23.09/23.47 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := U
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (403) {G1,W15,D2,L3,V5,M3} R(16,14) { ! cyclic( X, Y, Z, T ),
% 23.09/23.47 ! cyclic( X, Y, Z, U ), cyclic( Y, T, Z, U ) }.
% 23.09/23.47 parent0: (72299) {G1,W15,D2,L3,V5,M3} { cyclic( X, Z, Y, T ), ! cyclic( U
% 23.09/23.47 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := T
% 23.09/23.47 T := U
% 23.09/23.47 U := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 2
% 23.09/23.47 1 ==> 0
% 23.09/23.47 2 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72301) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 23.09/23.47 T, Z, T ) }.
% 23.09/23.47 parent0[0, 1]: (403) {G1,W15,D2,L3,V5,M3} R(16,14) { ! cyclic( X, Y, Z, T )
% 23.09/23.47 , ! cyclic( X, Y, Z, U ), cyclic( Y, T, Z, U ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (408) {G2,W10,D2,L2,V4,M2} F(403) { ! cyclic( X, Y, Z, T ),
% 23.09/23.47 cyclic( Y, T, Z, T ) }.
% 23.09/23.47 parent0: (72301) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.09/23.47 , T, Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72302) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 23.09/23.47 Y, T, T ) }.
% 23.09/23.47 parent0[0, 1]: (400) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 23.09/23.47 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (409) {G2,W10,D2,L2,V4,M2} F(400) { ! cyclic( X, Y, Z, T ),
% 23.09/23.47 cyclic( Z, Y, T, T ) }.
% 23.09/23.47 parent0: (72302) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 23.09/23.47 , Y, T, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72303) {G1,W5,D2,L1,V0,M1} { para( skol26, skol24, skol23,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 23.09/23.47 T, Z ) }.
% 23.09/23.47 parent1[0]: (395) {G4,W5,D2,L1,V0,M1} R(391,4) { para( skol26, skol24,
% 23.09/23.47 skol20, skol23 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol26
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol20
% 23.09/23.47 T := skol23
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (415) {G5,W5,D2,L1,V0,M1} R(395,3) { para( skol26, skol24,
% 23.09/23.47 skol23, skol20 ) }.
% 23.09/23.47 parent0: (72303) {G1,W5,D2,L1,V0,M1} { para( skol26, skol24, skol23,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72304) {G1,W5,D2,L1,V0,M1} { para( skol23, skol20, skol26,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.09/23.47 X, Y ) }.
% 23.09/23.47 parent1[0]: (415) {G5,W5,D2,L1,V0,M1} R(395,3) { para( skol26, skol24,
% 23.09/23.47 skol23, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol26
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol23
% 23.09/23.47 T := skol20
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (419) {G6,W5,D2,L1,V0,M1} R(415,4) { para( skol23, skol20,
% 23.09/23.47 skol26, skol24 ) }.
% 23.09/23.47 parent0: (72304) {G1,W5,D2,L1,V0,M1} { para( skol23, skol20, skol26,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72305) {G1,W10,D2,L2,V2,M2} { ! para( skol26, skol24, X, Y )
% 23.09/23.47 , para( skol23, skol20, X, Y ) }.
% 23.09/23.47 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 23.09/23.47 , Z, T ), para( X, Y, Z, T ) }.
% 23.09/23.47 parent1[0]: (419) {G6,W5,D2,L1,V0,M1} R(415,4) { para( skol23, skol20,
% 23.09/23.47 skol26, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 U := skol26
% 23.09/23.47 W := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (421) {G7,W10,D2,L2,V2,M2} R(419,5) { ! para( skol26, skol24,
% 23.09/23.47 X, Y ), para( skol23, skol20, X, Y ) }.
% 23.09/23.47 parent0: (72305) {G1,W10,D2,L2,V2,M2} { ! para( skol26, skol24, X, Y ),
% 23.09/23.47 para( skol23, skol20, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72307) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol26, X, Y )
% 23.09/23.47 , perp( skol23, skol20, X, Y ) }.
% 23.09/23.47 parent0[0]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 23.09/23.47 , Z, T ), perp( X, Y, Z, T ) }.
% 23.09/23.47 parent1[0]: (238) {G1,W5,D2,L1,V0,M1} R(4,121) { para( skol23, skol20,
% 23.09/23.47 skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 U := skol24
% 23.09/23.47 W := skol26
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (423) {G2,W10,D2,L2,V2,M2} R(238,9) { ! perp( skol24, skol26,
% 23.09/23.47 X, Y ), perp( skol23, skol20, X, Y ) }.
% 23.09/23.47 parent0: (72307) {G1,W10,D2,L2,V2,M2} { ! perp( skol24, skol26, X, Y ),
% 23.09/23.47 perp( skol23, skol20, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72309) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.09/23.47 }.
% 23.09/23.47 parent1[0]: (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X,
% 23.09/23.47 Z, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (435) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll(
% 23.09/23.47 Z, X, X ) }.
% 23.09/23.47 parent0: (72309) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72310) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (435) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 23.09/23.47 , X, X ) }.
% 23.09/23.47 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (441) {G6,W8,D2,L2,V3,M2} R(435,1) { coll( X, Y, Y ), ! coll(
% 23.09/23.47 Z, Y, X ) }.
% 23.09/23.47 parent0: (72310) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72311) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! midp( X, Y, Z
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (435) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 23.09/23.47 , X, X ) }.
% 23.09/23.47 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (442) {G6,W8,D2,L2,V3,M2} R(435,69) { coll( X, Y, Y ), ! midp
% 23.09/23.47 ( Y, Z, X ) }.
% 23.09/23.47 parent0: (72311) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! midp( X, Y, Z )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72312) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (435) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 23.09/23.47 , X, X ) }.
% 23.09/23.47 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (443) {G6,W8,D2,L2,V3,M2} R(435,0) { coll( X, Y, Y ), ! coll(
% 23.09/23.47 Y, X, Z ) }.
% 23.09/23.47 parent0: (72312) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72314) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (435) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 23.09/23.47 , X, X ) }.
% 23.09/23.47 parent1[0]: (441) {G6,W8,D2,L2,V3,M2} R(435,1) { coll( X, Y, Y ), ! coll( Z
% 23.09/23.47 , Y, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (447) {G7,W8,D2,L2,V3,M2} R(441,435) { ! coll( X, Y, Z ), coll
% 23.09/23.47 ( Y, Z, Z ) }.
% 23.09/23.47 parent0: (72314) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72315) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (447) {G7,W8,D2,L2,V3,M2} R(441,435) { ! coll( X, Y, Z ), coll
% 23.09/23.47 ( Y, Z, Z ) }.
% 23.09/23.47 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (451) {G8,W8,D2,L2,V3,M2} R(447,69) { coll( X, Y, Y ), ! midp
% 23.09/23.47 ( Z, X, Y ) }.
% 23.09/23.47 parent0: (72315) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72316) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[1]: (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X,
% 23.09/23.47 Z, Y ) }.
% 23.09/23.47 parent1[0]: (451) {G8,W8,D2,L2,V3,M2} R(447,69) { coll( X, Y, Y ), ! midp(
% 23.09/23.47 Z, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (452) {G9,W8,D2,L2,V3,M2} R(451,230) { ! midp( X, Y, Z ), coll
% 23.09/23.47 ( Y, Z, Y ) }.
% 23.09/23.47 parent0: (72316) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72317) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.47 }.
% 23.09/23.47 parent1[1]: (452) {G9,W8,D2,L2,V3,M2} R(451,230) { ! midp( X, Y, Z ), coll
% 23.09/23.47 ( Y, Z, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (455) {G10,W8,D2,L2,V3,M2} R(452,0) { ! midp( X, Y, Z ), coll
% 23.09/23.47 ( Y, Y, Z ) }.
% 23.09/23.47 parent0: (72317) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72318) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! midp( Y, Z, X
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (435) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 23.09/23.47 , X, X ) }.
% 23.09/23.47 parent1[0]: (442) {G6,W8,D2,L2,V3,M2} R(435,69) { coll( X, Y, Y ), ! midp(
% 23.09/23.47 Y, Z, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (477) {G7,W8,D2,L2,V3,M2} R(442,435) { ! midp( X, Y, Z ), coll
% 23.09/23.47 ( X, Z, Z ) }.
% 23.09/23.47 parent0: (72318) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! midp( Y, Z, X )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72319) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Z ), ! midp( X, Z, Y
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (477) {G7,W8,D2,L2,V3,M2} R(442,435) { ! midp( X, Y, Z ), coll
% 23.09/23.47 ( X, Z, Z ) }.
% 23.09/23.47 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (480) {G8,W8,D2,L2,V3,M2} R(477,10) { coll( X, Y, Y ), ! midp
% 23.09/23.47 ( X, Y, Z ) }.
% 23.09/23.47 parent0: (72319) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Z ), ! midp( X, Z, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72320) {G3,W8,D2,L2,V3,M2} { coll( Y, X, Y ), ! midp( X, Y, Z
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 23.09/23.47 X, Z ) }.
% 23.09/23.47 parent1[0]: (480) {G8,W8,D2,L2,V3,M2} R(477,10) { coll( X, Y, Y ), ! midp(
% 23.09/23.47 X, Y, Z ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (483) {G9,W8,D2,L2,V3,M2} R(480,198) { ! midp( X, Y, Z ), coll
% 23.09/23.47 ( Y, X, Y ) }.
% 23.09/23.47 parent0: (72320) {G3,W8,D2,L2,V3,M2} { coll( Y, X, Y ), ! midp( X, Y, Z )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72321) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol22,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol23, skol20,
% 23.09/23.47 skol22 ) }.
% 23.09/23.47 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 23.09/23.47 , T, Z ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol23
% 23.09/23.47 Z := skol22
% 23.09/23.47 T := skol20
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (491) {G1,W5,D2,L1,V0,M1} R(22,122) { ! cong( skol20, skol23,
% 23.09/23.47 skol22, skol20 ) }.
% 23.09/23.47 parent0: (72321) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol22,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72322) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Y, X, Z
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.47 }.
% 23.09/23.47 parent1[1]: (483) {G9,W8,D2,L2,V3,M2} R(480,198) { ! midp( X, Y, Z ), coll
% 23.09/23.47 ( Y, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (500) {G10,W8,D2,L2,V3,M2} R(483,0) { ! midp( X, Y, Z ), coll
% 23.09/23.47 ( Y, Y, X ) }.
% 23.09/23.47 parent0: (72322) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Y, X, Z )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72323) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol20,
% 23.09/23.47 skol23 ) }.
% 23.09/23.47 parent0[0]: (491) {G1,W5,D2,L1,V0,M1} R(22,122) { ! cong( skol20, skol23,
% 23.09/23.47 skol22, skol20 ) }.
% 23.09/23.47 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 23.09/23.47 , X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := skol22
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol20
% 23.09/23.47 T := skol23
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (501) {G2,W5,D2,L1,V0,M1} R(23,491) { ! cong( skol22, skol20,
% 23.09/23.47 skol20, skol23 ) }.
% 23.09/23.47 parent0: (72323) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol20,
% 23.09/23.47 skol23 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72325) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z,
% 23.09/23.47 T, X, Y ) }.
% 23.09/23.47 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 23.09/23.47 , T, Z ) }.
% 23.09/23.47 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 23.09/23.47 , X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := T
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (503) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 23.09/23.47 cong( Z, T, Y, X ) }.
% 23.09/23.47 parent0: (72325) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z, T,
% 23.09/23.47 X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := T
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72326) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, T ), ! cong( X
% 23.09/23.47 , Y, X, U ), cyclic( Y, Z, T, U ), ! cong( X, Z, X, Y ) }.
% 23.09/23.47 parent0[0]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 23.09/23.47 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 23.09/23.47 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 23.09/23.47 , X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := T
% 23.09/23.47 T := U
% 23.09/23.47 U := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (504) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 23.09/23.47 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 23.09/23.47 parent0: (72326) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, T ), ! cong( X, Y
% 23.09/23.47 , X, U ), cyclic( Y, Z, T, U ), ! cong( X, Z, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 T := T
% 23.09/23.47 U := U
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 2
% 23.09/23.47 2 ==> 3
% 23.09/23.47 3 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72337) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong( X
% 23.09/23.47 , Y, X, U ), cyclic( Y, Z, T, U ), ! cong( X, T, X, Y ) }.
% 23.09/23.47 parent0[1]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 23.09/23.47 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 23.09/23.47 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 23.09/23.47 , X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := T
% 23.09/23.47 T := U
% 23.09/23.47 U := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := T
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (505) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 23.09/23.47 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 23.09/23.47 parent0: (72337) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 23.09/23.47 , X, U ), cyclic( Y, Z, T, U ), ! cong( X, T, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := T
% 23.09/23.47 T := Y
% 23.09/23.47 U := U
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 2
% 23.09/23.47 2 ==> 3
% 23.09/23.47 3 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72346) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol23,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 parent0[0]: (501) {G2,W5,D2,L1,V0,M1} R(23,491) { ! cong( skol22, skol20,
% 23.09/23.47 skol20, skol23 ) }.
% 23.09/23.47 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 23.09/23.47 , T, Z ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := skol22
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol23
% 23.09/23.47 T := skol20
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (513) {G3,W5,D2,L1,V0,M1} R(501,22) { ! cong( skol22, skol20,
% 23.09/23.47 skol23, skol20 ) }.
% 23.09/23.47 parent0: (72346) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol23,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72347) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol22,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 parent0[0]: (513) {G3,W5,D2,L1,V0,M1} R(501,22) { ! cong( skol22, skol20,
% 23.09/23.47 skol23, skol20 ) }.
% 23.09/23.47 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 23.09/23.47 , X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol22
% 23.09/23.47 T := skol20
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (514) {G4,W5,D2,L1,V0,M1} R(513,23) { ! cong( skol23, skol20,
% 23.09/23.47 skol22, skol20 ) }.
% 23.09/23.47 parent0: (72347) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol22,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72348) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X,
% 23.09/23.47 Y, U, W ), ! cong( Z, T, X, Y ) }.
% 23.09/23.47 parent0[0]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 23.09/23.47 W, Z, T ), cong( X, Y, Z, T ) }.
% 23.09/23.47 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 23.09/23.47 , X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := U
% 23.09/23.47 T := W
% 23.09/23.47 U := Z
% 23.09/23.47 W := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := T
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (522) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 23.09/23.47 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 23.09/23.47 parent0: (72348) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X, Y,
% 23.09/23.47 U, W ), ! cong( Z, T, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := U
% 23.09/23.47 Y := W
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 U := Z
% 23.09/23.47 W := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72353) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X,
% 23.09/23.47 Y, U, W ), ! cong( U, W, Z, T ) }.
% 23.09/23.47 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 23.09/23.47 W, Z, T ), cong( X, Y, Z, T ) }.
% 23.09/23.47 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 23.09/23.47 , X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := U
% 23.09/23.47 T := W
% 23.09/23.47 U := Z
% 23.09/23.47 W := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := U
% 23.09/23.47 Y := W
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (523) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 23.09/23.47 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 23.09/23.47 parent0: (72353) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X, Y,
% 23.09/23.47 U, W ), ! cong( U, W, Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := U
% 23.09/23.47 W := W
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72356) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, X
% 23.09/23.47 , Y ) }.
% 23.09/23.47 parent0[0, 2]: (523) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 23.09/23.47 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := X
% 23.09/23.47 W := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (536) {G2,W10,D2,L2,V4,M2} F(523) { ! cong( X, Y, Z, T ), cong
% 23.09/23.47 ( X, Y, X, Y ) }.
% 23.09/23.47 parent0: (72356) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 23.09/23.47 X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72357) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, Z
% 23.09/23.47 , T ) }.
% 23.09/23.47 parent0[0, 2]: (522) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 23.09/23.47 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := Z
% 23.09/23.47 W := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (537) {G2,W10,D2,L2,V4,M2} F(522) { ! cong( X, Y, Z, T ), cong
% 23.09/23.47 ( Z, T, Z, T ) }.
% 23.09/23.47 parent0: (72357) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 23.09/23.47 Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72358) {G1,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! midp( X, Z, Y
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (500) {G10,W8,D2,L2,V3,M2} R(483,0) { ! midp( X, Y, Z ), coll(
% 23.09/23.47 Y, Y, X ) }.
% 23.09/23.47 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (540) {G11,W8,D2,L2,V3,M2} R(500,10) { coll( X, X, Y ), ! midp
% 23.09/23.47 ( Y, Z, X ) }.
% 23.09/23.47 parent0: (72358) {G1,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! midp( X, Z, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72359) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z,
% 23.09/23.47 X ), ! midp( Y, T, X ) }.
% 23.09/23.47 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.09/23.47 ), coll( Y, Z, X ) }.
% 23.09/23.47 parent1[0]: (540) {G11,W8,D2,L2,V3,M2} R(500,10) { coll( X, X, Y ), ! midp
% 23.09/23.47 ( Y, Z, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (543) {G12,W12,D2,L3,V4,M3} R(540,2) { ! midp( X, Y, Z ), !
% 23.09/23.47 coll( Z, Z, T ), coll( X, T, Z ) }.
% 23.09/23.47 parent0: (72359) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z, X )
% 23.09/23.47 , ! midp( Y, T, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := X
% 23.09/23.47 Z := T
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 2
% 23.09/23.47 2 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72361) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[1]: (443) {G6,W8,D2,L2,V3,M2} R(435,0) { coll( X, Y, Y ), ! coll( Y
% 23.09/23.47 , X, Z ) }.
% 23.09/23.47 parent1[0]: (443) {G6,W8,D2,L2,V3,M2} R(435,0) { coll( X, Y, Y ), ! coll( Y
% 23.09/23.47 , X, Z ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (546) {G7,W8,D2,L2,V3,M2} R(443,443) { ! coll( X, Y, Z ), coll
% 23.09/23.47 ( X, Y, Y ) }.
% 23.09/23.47 parent0: (72361) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72365) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 23.09/23.47 X ), ! coll( X, Y, T ) }.
% 23.09/23.47 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.09/23.47 ), coll( Y, Z, X ) }.
% 23.09/23.47 parent1[1]: (546) {G7,W8,D2,L2,V3,M2} R(443,443) { ! coll( X, Y, Z ), coll
% 23.09/23.47 ( X, Y, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (549) {G8,W12,D2,L3,V4,M3} R(546,2) { ! coll( X, Y, Z ), !
% 23.09/23.47 coll( X, Y, T ), coll( T, Y, X ) }.
% 23.09/23.47 parent0: (72365) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 23.09/23.47 , ! coll( X, Y, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := T
% 23.09/23.47 T := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 2
% 23.09/23.47 2 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72368) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 23.09/23.47 }.
% 23.09/23.47 parent0[0, 1]: (549) {G8,W12,D2,L3,V4,M3} R(546,2) { ! coll( X, Y, Z ), !
% 23.09/23.47 coll( X, Y, T ), coll( T, Y, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (550) {G9,W8,D2,L2,V3,M2} F(549) { ! coll( X, Y, Z ), coll( Z
% 23.09/23.47 , Y, X ) }.
% 23.09/23.47 parent0: (72368) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72369) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (550) {G9,W8,D2,L2,V3,M2} F(549) { ! coll( X, Y, Z ), coll( Z,
% 23.09/23.47 Y, X ) }.
% 23.09/23.47 parent1[0]: (441) {G6,W8,D2,L2,V3,M2} R(435,1) { coll( X, Y, Y ), ! coll( Z
% 23.09/23.47 , Y, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (554) {G10,W8,D2,L2,V3,M2} R(550,441) { coll( X, X, Y ), !
% 23.09/23.47 coll( Z, X, Y ) }.
% 23.09/23.47 parent0: (72369) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72370) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 23.09/23.47 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 23.09/23.47 cyclic( X, Y, Z, T ) }.
% 23.09/23.47 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 23.09/23.47 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 23.09/23.47 ), cong( X, Y, Z, T ) }.
% 23.09/23.47 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 23.09/23.47 Z, X, Z, Y, T, X, T, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 U := Z
% 23.09/23.47 W := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72372) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 23.09/23.47 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 23.09/23.47 parent0[0, 2]: (72370) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 23.09/23.47 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 23.09/23.47 cyclic( X, Y, Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (925) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 23.09/23.47 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 23.09/23.47 parent0: (72372) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 23.09/23.47 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 3
% 23.09/23.47 3 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72377) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 23.09/23.47 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 23.09/23.47 parent0[0, 2]: (925) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 23.09/23.47 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (958) {G2,W15,D2,L3,V3,M3} F(925) { ! cyclic( X, Y, Z, X ), !
% 23.09/23.47 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 23.09/23.47 parent0: (72377) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 23.09/23.47 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72379) {G1,W12,D2,L3,V1,M3} { ! midp( skol20, X, skol24 ), !
% 23.09/23.47 coll( skol23, X, skol26 ), midp( skol23, X, skol26 ) }.
% 23.09/23.47 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 23.09/23.47 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 23.09/23.47 parent1[0]: (235) {G2,W5,D2,L1,V0,M1} R(4,210) { para( skol20, skol23,
% 23.09/23.47 skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol23
% 23.09/23.47 T := skol24
% 23.09/23.47 U := skol20
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (994) {G3,W12,D2,L3,V1,M3} R(45,235) { ! midp( skol20, X,
% 23.09/23.47 skol24 ), ! coll( skol23, X, skol26 ), midp( skol23, X, skol26 ) }.
% 23.09/23.47 parent0: (72379) {G1,W12,D2,L3,V1,M3} { ! midp( skol20, X, skol24 ), !
% 23.09/23.47 coll( skol23, X, skol26 ), midp( skol23, X, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72380) {G1,W12,D2,L3,V1,M3} { ! midp( skol24, X, skol20 ), !
% 23.09/23.47 coll( skol26, X, skol23 ), midp( skol26, X, skol23 ) }.
% 23.09/23.47 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 23.09/23.47 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 23.09/23.47 parent1[0]: (210) {G1,W5,D2,L1,V0,M1} R(3,121) { para( skol24, skol26,
% 23.09/23.47 skol20, skol23 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol23
% 23.09/23.47 Z := skol26
% 23.09/23.47 T := skol20
% 23.09/23.47 U := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1041) {G2,W12,D2,L3,V1,M3} R(45,210) { ! midp( skol24, X,
% 23.09/23.47 skol20 ), ! coll( skol26, X, skol23 ), midp( skol26, X, skol23 ) }.
% 23.09/23.47 parent0: (72380) {G1,W12,D2,L3,V1,M3} { ! midp( skol24, X, skol20 ), !
% 23.09/23.47 coll( skol26, X, skol23 ), midp( skol26, X, skol23 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72381) {G1,W12,D2,L3,V1,M3} { ! midp( skol24, X, skol23 ), !
% 23.09/23.47 coll( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 23.09/23.47 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 23.09/23.47 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 23.09/23.47 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { para( skol24, skol26, skol23,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol26
% 23.09/23.47 T := skol23
% 23.09/23.47 U := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1056) {G1,W12,D2,L3,V1,M3} R(45,121) { ! midp( skol24, X,
% 23.09/23.47 skol23 ), ! coll( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 23.09/23.47 parent0: (72381) {G1,W12,D2,L3,V1,M3} { ! midp( skol24, X, skol23 ), !
% 23.09/23.47 coll( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72382) {G1,W15,D2,L3,V4,M3} { ! circle( X, Y, Z, T ), perp( X
% 23.09/23.47 , Y, Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 23.09/23.47 parent0[1]: (49) {G0,W19,D2,L3,V5,M3} I { ! circle( Y, X, T, U ), ! eqangle
% 23.09/23.47 ( X, Z, X, T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 23.09/23.47 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 23.09/23.47 Z, X, Z, Y, T, X, T, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Y
% 23.09/23.47 T := Z
% 23.09/23.47 U := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1156) {G1,W15,D2,L3,V4,M3} R(49,40) { ! circle( X, Y, Z, T )
% 23.09/23.47 , perp( X, Y, Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 23.09/23.47 parent0: (72382) {G1,W15,D2,L3,V4,M3} { ! circle( X, Y, Z, T ), perp( X, Y
% 23.09/23.47 , Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72383) {G1,W9,D2,L2,V1,M2} { ! perp( skol23, skol22, skol22,
% 23.09/23.47 X ), ! midp( skol20, skol23, X ) }.
% 23.09/23.47 parent0[0]: (514) {G4,W5,D2,L1,V0,M1} R(513,23) { ! cong( skol23, skol20,
% 23.09/23.47 skol22, skol20 ) }.
% 23.09/23.47 parent1[2]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 23.09/23.47 X, T ), cong( X, Z, Y, Z ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol22
% 23.09/23.47 Z := skol20
% 23.09/23.47 T := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1254) {G5,W9,D2,L2,V1,M2} R(52,514) { ! perp( skol23, skol22
% 23.09/23.47 , skol22, X ), ! midp( skol20, skol23, X ) }.
% 23.09/23.47 parent0: (72383) {G1,W9,D2,L2,V1,M2} { ! perp( skol23, skol22, skol22, X )
% 23.09/23.47 , ! midp( skol20, skol23, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72385) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X,
% 23.09/23.47 Y, U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 23.09/23.47 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 23.09/23.47 , Z, T ), para( X, Y, Z, T ) }.
% 23.09/23.47 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 23.09/23.47 T, Y, T ), perp( X, Y, Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := U
% 23.09/23.47 T := W
% 23.09/23.47 U := Z
% 23.09/23.47 W := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := T
% 23.09/23.47 Z := U
% 23.09/23.47 T := W
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1588) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), !
% 23.09/23.47 cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 23.09/23.47 parent0: (72385) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X, Y,
% 23.09/23.47 U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := U
% 23.09/23.47 Y := W
% 23.09/23.47 Z := X
% 23.09/23.47 T := Z
% 23.09/23.47 U := Y
% 23.09/23.47 W := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 2
% 23.09/23.47 1 ==> 3
% 23.09/23.47 2 ==> 0
% 23.09/23.47 3 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72388) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X,
% 23.09/23.47 Z, Y, Z ), ! cong( X, T, Y, T ) }.
% 23.09/23.47 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.09/23.47 X, Y ) }.
% 23.09/23.47 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 23.09/23.47 T, Y, T ), perp( X, Y, Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1589) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 23.09/23.47 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 23.09/23.47 parent0: (72388) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X, Z,
% 23.09/23.47 Y, Z ), ! cong( X, T, Y, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 2
% 23.09/23.47 1 ==> 0
% 23.09/23.47 2 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72390) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 23.09/23.47 , X, Z ), para( T, U, Y, Y ) }.
% 23.09/23.47 parent0[0, 1]: (1588) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ),
% 23.09/23.47 ! cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := Y
% 23.09/23.47 U := T
% 23.09/23.47 W := U
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1591) {G2,W15,D2,L3,V5,M3} F(1588) { ! cong( X, Y, Z, Y ), !
% 23.09/23.47 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 23.09/23.47 parent0: (72390) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 23.09/23.47 , X, Z ), para( T, U, Y, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := U
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72395) {G1,W20,D2,L5,V6,M5} { ! midp( X, Y, Z ), ! coll( T, Y
% 23.09/23.47 , U ), midp( T, Y, U ), ! midp( W, X, Z ), ! midp( W, T, U ) }.
% 23.09/23.47 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 23.09/23.47 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 23.09/23.47 parent1[2]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 23.09/23.47 T ), para( X, Z, Y, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := U
% 23.09/23.47 Z := T
% 23.09/23.47 T := Z
% 23.09/23.47 U := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := T
% 23.09/23.47 T := U
% 23.09/23.47 U := W
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1828) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), !
% 23.09/23.47 midp( X, T, U ), ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U )
% 23.09/23.47 }.
% 23.09/23.47 parent0: (72395) {G1,W20,D2,L5,V6,M5} { ! midp( X, Y, Z ), ! coll( T, Y, U
% 23.09/23.47 ), midp( T, Y, U ), ! midp( W, X, Z ), ! midp( W, T, U ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := W
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := U
% 23.09/23.47 W := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 2
% 23.09/23.47 1 ==> 3
% 23.09/23.47 2 ==> 4
% 23.09/23.47 3 ==> 0
% 23.09/23.47 4 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72401) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T,
% 23.09/23.47 Z, U ), ! midp( X, U, T ) }.
% 23.09/23.47 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 23.09/23.47 T ), para( X, Z, Y, T ) }.
% 23.09/23.47 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := T
% 23.09/23.47 T := U
% 23.09/23.47 U := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := T
% 23.09/23.47 Y := U
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1831) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 23.09/23.47 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 23.09/23.47 parent0: (72401) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z,
% 23.09/23.47 U ), ! midp( X, U, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 U := U
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72404) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0, 2]: (1831) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 23.09/23.47 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := Z
% 23.09/23.47 U := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1841) {G2,W9,D2,L2,V3,M2} F(1831) { ! midp( X, Y, Z ), para(
% 23.09/23.47 Y, Z, Z, Y ) }.
% 23.09/23.47 parent0: (72404) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 23.09/23.47 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72406) {G1,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X, Z, T
% 23.09/23.47 ), ! coll( Z, X, T ), midp( Z, X, T ) }.
% 23.09/23.47 parent0[0, 2]: (1828) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), !
% 23.09/23.47 midp( X, T, U ), ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := X
% 23.09/23.47 Z := Y
% 23.09/23.47 T := Z
% 23.09/23.47 U := T
% 23.09/23.47 W := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72415) {G2,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X, Z
% 23.09/23.47 , T ), midp( Z, X, T ), ! midp( X, Z, T ) }.
% 23.09/23.47 parent0[2]: (72406) {G1,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X, Z
% 23.09/23.47 , T ), ! coll( Z, X, T ), midp( Z, X, T ) }.
% 23.09/23.47 parent1[0]: (163) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y
% 23.09/23.47 , X, Z ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Z
% 23.09/23.47 Y := X
% 23.09/23.47 Z := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72417) {G2,W12,D2,L3,V4,M3} { ! midp( X, X, Y ), ! midp( X, Z, T
% 23.09/23.47 ), midp( Z, X, T ) }.
% 23.09/23.47 parent0[1, 3]: (72415) {G2,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X
% 23.09/23.47 , Z, T ), midp( Z, X, T ), ! midp( X, Z, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (1844) {G2,W12,D2,L3,V4,M3} F(1828);r(163) { ! midp( X, X, Y )
% 23.09/23.47 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 23.09/23.47 parent0: (72417) {G2,W12,D2,L3,V4,M3} { ! midp( X, X, Y ), ! midp( X, Z, T
% 23.09/23.47 ), midp( Z, X, T ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 T := T
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72419) {G2,W8,D2,L2,V2,M2} { coll( skol22, X, skol26 ), !
% 23.09/23.47 coll( X, Y, skol26 ) }.
% 23.09/23.47 parent0[0]: (344) {G5,W8,D2,L2,V1,M2} R(342,2) { ! coll( skol26, skol26, X
% 23.09/23.47 ), coll( skol22, X, skol26 ) }.
% 23.09/23.47 parent1[1]: (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 23.09/23.47 , X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := skol26
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (3367) {G6,W8,D2,L2,V2,M2} R(344,123) { coll( skol22, X,
% 23.09/23.47 skol26 ), ! coll( X, Y, skol26 ) }.
% 23.09/23.47 parent0: (72419) {G2,W8,D2,L2,V2,M2} { coll( skol22, X, skol26 ), ! coll(
% 23.09/23.47 X, Y, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72421) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol22 ), !
% 23.09/23.47 coll( X, Y, skol26 ) }.
% 23.09/23.47 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.09/23.47 Z, X ) }.
% 23.09/23.47 parent1[0]: (3367) {G6,W8,D2,L2,V2,M2} R(344,123) { coll( skol22, X, skol26
% 23.09/23.47 ), ! coll( X, Y, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol22
% 23.09/23.47 Y := X
% 23.09/23.47 Z := skol26
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (3398) {G7,W8,D2,L2,V2,M2} R(3367,167) { ! coll( X, Y, skol26
% 23.09/23.47 ), coll( X, skol26, skol22 ) }.
% 23.09/23.47 parent0: (72421) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol22 ), ! coll(
% 23.09/23.47 X, Y, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72422) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol22 ), !
% 23.09/23.47 coll( skol26, Y, X ) }.
% 23.09/23.47 parent0[0]: (3398) {G7,W8,D2,L2,V2,M2} R(3367,167) { ! coll( X, Y, skol26 )
% 23.09/23.47 , coll( X, skol26, skol22 ) }.
% 23.09/23.47 parent1[1]: (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 23.09/23.47 , X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := skol26
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (3414) {G8,W8,D2,L2,V2,M2} R(3398,123) { coll( X, skol26,
% 23.09/23.47 skol22 ), ! coll( skol26, Y, X ) }.
% 23.09/23.47 parent0: (72422) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol22 ), ! coll(
% 23.09/23.47 skol26, Y, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72424) {G2,W8,D2,L2,V2,M2} { coll( skol22, skol22, X ), !
% 23.09/23.47 coll( skol26, Y, X ) }.
% 23.09/23.47 parent0[0]: (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 23.09/23.47 , X ) }.
% 23.09/23.47 parent1[0]: (3414) {G8,W8,D2,L2,V2,M2} R(3398,123) { coll( X, skol26,
% 23.09/23.47 skol22 ), ! coll( skol26, Y, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol22
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (3430) {G9,W8,D2,L2,V2,M2} R(3414,123) { ! coll( skol26, X, Y
% 23.09/23.47 ), coll( skol22, skol22, Y ) }.
% 23.09/23.47 parent0: (72424) {G2,W8,D2,L2,V2,M2} { coll( skol22, skol22, X ), ! coll(
% 23.09/23.47 skol26, Y, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72425) {G2,W8,D2,L2,V2,M2} { coll( skol22, skol22, Y ), !
% 23.09/23.47 coll( Y, skol26, X ) }.
% 23.09/23.47 parent0[0]: (3430) {G9,W8,D2,L2,V2,M2} R(3414,123) { ! coll( skol26, X, Y )
% 23.09/23.47 , coll( skol22, skol22, Y ) }.
% 23.09/23.47 parent1[1]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.09/23.47 Z, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (3511) {G10,W8,D2,L2,V2,M2} R(3430,167) { coll( skol22, skol22
% 23.09/23.47 , X ), ! coll( X, skol26, Y ) }.
% 23.09/23.47 parent0: (72425) {G2,W8,D2,L2,V2,M2} { coll( skol22, skol22, Y ), ! coll(
% 23.09/23.47 Y, skol26, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72426) {G1,W12,D3,L2,V1,M2} { ! perp( skol26, skol24, skol23
% 23.09/23.47 , skol24 ), coll( skol10( X, skol26, skol24 ), skol24, skol26 ) }.
% 23.09/23.47 parent0[0]: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 23.09/23.47 T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.09/23.47 parent1[0]: (369) {G5,W5,D2,L1,V0,M1} R(365,7) { perp( skol23, skol24,
% 23.09/23.47 skol26, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol24
% 23.09/23.47 T := skol24
% 23.09/23.47 U := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72428) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol26, skol24
% 23.09/23.47 ), skol24, skol26 ) }.
% 23.09/23.47 parent0[0]: (72426) {G1,W12,D3,L2,V1,M2} { ! perp( skol26, skol24, skol23
% 23.09/23.47 , skol24 ), coll( skol10( X, skol26, skol24 ), skol24, skol26 ) }.
% 23.09/23.47 parent1[0]: (365) {G4,W5,D2,L1,V0,M1} R(361,6) { perp( skol26, skol24,
% 23.09/23.47 skol23, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (3857) {G6,W7,D3,L1,V1,M1} R(94,369);r(365) { coll( skol10( X
% 23.09/23.47 , skol26, skol24 ), skol24, skol26 ) }.
% 23.09/23.47 parent0: (72428) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol26, skol24 ),
% 23.09/23.47 skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72429) {G7,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol26 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[1]: (554) {G10,W8,D2,L2,V3,M2} R(550,441) { coll( X, X, Y ), ! coll
% 23.09/23.47 ( Z, X, Y ) }.
% 23.09/23.47 parent1[0]: (3857) {G6,W7,D3,L1,V1,M1} R(94,369);r(365) { coll( skol10( X,
% 23.09/23.47 skol26, skol24 ), skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol10( X, skol26, skol24 )
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (3922) {G11,W4,D2,L1,V0,M1} R(3857,554) { coll( skol24, skol24
% 23.09/23.47 , skol26 ) }.
% 23.09/23.47 parent0: (72429) {G7,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72430) {G8,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol22 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[0]: (3398) {G7,W8,D2,L2,V2,M2} R(3367,167) { ! coll( X, Y, skol26 )
% 23.09/23.47 , coll( X, skol26, skol22 ) }.
% 23.09/23.47 parent1[0]: (3922) {G11,W4,D2,L1,V0,M1} R(3857,554) { coll( skol24, skol24
% 23.09/23.47 , skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 Y := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (3947) {G12,W4,D2,L1,V0,M1} R(3922,3398) { coll( skol24,
% 23.09/23.47 skol26, skol22 ) }.
% 23.09/23.47 parent0: (72430) {G8,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol22 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72431) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol24 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.09/23.47 Z, X ) }.
% 23.09/23.47 parent1[0]: (3947) {G12,W4,D2,L1,V0,M1} R(3922,3398) { coll( skol24, skol26
% 23.09/23.47 , skol22 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol22
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (4009) {G13,W4,D2,L1,V0,M1} R(3947,167) { coll( skol26, skol22
% 23.09/23.47 , skol24 ) }.
% 23.09/23.47 parent0: (72431) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72432) {G4,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol26 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[0]: (176) {G3,W8,D2,L2,V1,M2} R(2,165) { ! coll( skol26, skol22, X
% 23.09/23.47 ), coll( X, skol20, skol26 ) }.
% 23.09/23.47 parent1[0]: (4009) {G13,W4,D2,L1,V0,M1} R(3947,167) { coll( skol26, skol22
% 23.09/23.47 , skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (9208) {G14,W4,D2,L1,V0,M1} R(176,4009) { coll( skol24, skol20
% 23.09/23.47 , skol26 ) }.
% 23.09/23.47 parent0: (72432) {G4,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72433) {G8,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol20 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[0]: (546) {G7,W8,D2,L2,V3,M2} R(443,443) { ! coll( X, Y, Z ), coll
% 23.09/23.47 ( X, Y, Y ) }.
% 23.09/23.47 parent1[0]: (9208) {G14,W4,D2,L1,V0,M1} R(176,4009) { coll( skol24, skol20
% 23.09/23.47 , skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol26
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (9261) {G15,W4,D2,L1,V0,M1} R(9208,546) { coll( skol24, skol20
% 23.09/23.47 , skol20 ) }.
% 23.09/23.47 parent0: (72433) {G8,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72434) {G7,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol24 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[1]: (443) {G6,W8,D2,L2,V3,M2} R(435,0) { coll( X, Y, Y ), ! coll( Y
% 23.09/23.47 , X, Z ) }.
% 23.09/23.47 parent1[0]: (9208) {G14,W4,D2,L1,V0,M1} R(176,4009) { coll( skol24, skol20
% 23.09/23.47 , skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol26
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (9262) {G15,W4,D2,L1,V0,M1} R(9208,443) { coll( skol20, skol24
% 23.09/23.47 , skol24 ) }.
% 23.09/23.47 parent0: (72434) {G7,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72435) {G2,W12,D2,L3,V2,M3} { coll( skol26, X, skol20 ), !
% 23.09/23.47 coll( X, Y, skol20 ), ! coll( X, skol20, Y ) }.
% 23.09/23.47 parent0[0]: (296) {G5,W8,D2,L2,V1,M2} R(281,2) { ! coll( skol20, skol20, X
% 23.09/23.47 ), coll( skol26, X, skol20 ) }.
% 23.09/23.47 parent1[1]: (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( Z
% 23.09/23.47 , T, X ), ! coll( X, T, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := skol20
% 23.09/23.47 T := skol20
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72439) {G1,W12,D2,L3,V2,M3} { coll( skol26, X, skol20 ), !
% 23.09/23.47 coll( X, skol20, Y ), ! coll( X, skol20, Y ) }.
% 23.09/23.47 parent0[1]: (72435) {G2,W12,D2,L3,V2,M3} { coll( skol26, X, skol20 ), !
% 23.09/23.47 coll( X, Y, skol20 ), ! coll( X, skol20, Y ) }.
% 23.09/23.47 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72441) {G1,W8,D2,L2,V2,M2} { coll( skol26, X, skol20 ), ! coll( X
% 23.09/23.47 , skol20, Y ) }.
% 23.09/23.47 parent0[1, 2]: (72439) {G1,W12,D2,L3,V2,M3} { coll( skol26, X, skol20 ), !
% 23.09/23.47 coll( X, skol20, Y ), ! coll( X, skol20, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (17899) {G6,W8,D2,L2,V2,M2} R(296,192);r(0) { coll( skol26, X
% 23.09/23.47 , skol20 ), ! coll( X, skol20, Y ) }.
% 23.09/23.47 parent0: (72441) {G1,W8,D2,L2,V2,M2} { coll( skol26, X, skol20 ), ! coll(
% 23.09/23.47 X, skol20, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72444) {G2,W8,D2,L2,V2,M2} { coll( X, skol20, skol26 ), !
% 23.09/23.47 coll( X, skol20, Y ) }.
% 23.09/23.47 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.09/23.47 Z, X ) }.
% 23.09/23.47 parent1[0]: (17899) {G6,W8,D2,L2,V2,M2} R(296,192);r(0) { coll( skol26, X,
% 23.09/23.47 skol20 ), ! coll( X, skol20, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol26
% 23.09/23.47 Y := X
% 23.09/23.47 Z := skol20
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (17950) {G7,W8,D2,L2,V2,M2} R(17899,167) { ! coll( X, skol20,
% 23.09/23.47 Y ), coll( X, skol20, skol26 ) }.
% 23.09/23.47 parent0: (72444) {G2,W8,D2,L2,V2,M2} { coll( X, skol20, skol26 ), ! coll(
% 23.09/23.47 X, skol20, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72447) {G2,W12,D2,L3,V3,M3} { ! coll( X, skol20, Y ), coll(
% 23.09/23.47 skol26, X, Y ), ! coll( X, skol20, Z ) }.
% 23.09/23.47 parent0[0]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 23.09/23.47 X, Y, T ), coll( Z, X, T ) }.
% 23.09/23.47 parent1[1]: (17950) {G7,W8,D2,L2,V2,M2} R(17899,167) { ! coll( X, skol20, Y
% 23.09/23.47 ), coll( X, skol20, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol26
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (17963) {G8,W12,D2,L3,V3,M3} R(17950,193) { ! coll( X, skol20
% 23.09/23.47 , Y ), ! coll( X, skol20, Z ), coll( skol26, X, Z ) }.
% 23.09/23.47 parent0: (72447) {G2,W12,D2,L3,V3,M3} { ! coll( X, skol20, Y ), coll(
% 23.09/23.47 skol26, X, Y ), ! coll( X, skol20, Z ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 1
% 23.09/23.47 1 ==> 2
% 23.09/23.47 2 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72451) {G8,W8,D2,L2,V2,M2} { ! coll( X, skol20, Y ), coll( skol26
% 23.09/23.47 , X, Y ) }.
% 23.09/23.47 parent0[0, 1]: (17963) {G8,W12,D2,L3,V3,M3} R(17950,193) { ! coll( X,
% 23.09/23.47 skol20, Y ), ! coll( X, skol20, Z ), coll( skol26, X, Z ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (18018) {G9,W8,D2,L2,V2,M2} F(17963) { ! coll( X, skol20, Y )
% 23.09/23.47 , coll( skol26, X, Y ) }.
% 23.09/23.47 parent0: (72451) {G8,W8,D2,L2,V2,M2} { ! coll( X, skol20, Y ), coll(
% 23.09/23.47 skol26, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72452) {G1,W10,D2,L2,V0,M2} { cong( skol20, skol24, skol20,
% 23.09/23.47 skol24 ), cong( skol20, skol24, skol20, skol25 ) }.
% 23.09/23.47 parent0[0]: (536) {G2,W10,D2,L2,V4,M2} F(523) { ! cong( X, Y, Z, T ), cong
% 23.09/23.47 ( X, Y, X, Y ) }.
% 23.09/23.47 parent1[0]: (116) {G0,W10,D2,L2,V0,M2} I { cong( skol20, skol24, skol24,
% 23.09/23.47 skol25 ), cong( skol20, skol24, skol20, skol25 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol24
% 23.09/23.47 T := skol25
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72455) {G2,W10,D2,L2,V0,M2} { cong( skol20, skol24, skol20,
% 23.09/23.47 skol24 ), cong( skol20, skol24, skol20, skol24 ) }.
% 23.09/23.47 parent0[0]: (536) {G2,W10,D2,L2,V4,M2} F(523) { ! cong( X, Y, Z, T ), cong
% 23.09/23.47 ( X, Y, X, Y ) }.
% 23.09/23.47 parent1[1]: (72452) {G1,W10,D2,L2,V0,M2} { cong( skol20, skol24, skol20,
% 23.09/23.47 skol24 ), cong( skol20, skol24, skol20, skol25 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol20
% 23.09/23.47 T := skol25
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72456) {G2,W5,D2,L1,V0,M1} { cong( skol20, skol24, skol20, skol24
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0, 1]: (72455) {G2,W10,D2,L2,V0,M2} { cong( skol20, skol24, skol20
% 23.09/23.47 , skol24 ), cong( skol20, skol24, skol20, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (28785) {G3,W5,D2,L1,V0,M1} R(536,116);r(536) { cong( skol20,
% 23.09/23.47 skol24, skol20, skol24 ) }.
% 23.09/23.47 parent0: (72456) {G2,W5,D2,L1,V0,M1} { cong( skol20, skol24, skol20,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72457) {G2,W5,D2,L1,V0,M1} { cong( skol20, skol24, skol24,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 parent0[0]: (503) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 23.09/23.47 cong( Z, T, Y, X ) }.
% 23.09/23.47 parent1[0]: (28785) {G3,W5,D2,L1,V0,M1} R(536,116);r(536) { cong( skol20,
% 23.09/23.47 skol24, skol20, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol20
% 23.09/23.47 T := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (28819) {G4,W5,D2,L1,V0,M1} R(28785,503) { cong( skol20,
% 23.09/23.47 skol24, skol24, skol20 ) }.
% 23.09/23.47 parent0: (72457) {G2,W5,D2,L1,V0,M1} { cong( skol20, skol24, skol24,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72458) {G1,W8,D2,L2,V0,M2} { ! coll( skol20, skol24, skol24 )
% 23.09/23.47 , midp( skol20, skol24, skol24 ) }.
% 23.09/23.47 parent0[0]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 23.09/23.47 Y, Z ), midp( X, Y, Z ) }.
% 23.09/23.47 parent1[0]: (28785) {G3,W5,D2,L1,V0,M1} R(536,116);r(536) { cong( skol20,
% 23.09/23.47 skol24, skol20, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72459) {G2,W4,D2,L1,V0,M1} { midp( skol20, skol24, skol24 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[0]: (72458) {G1,W8,D2,L2,V0,M2} { ! coll( skol20, skol24, skol24 )
% 23.09/23.47 , midp( skol20, skol24, skol24 ) }.
% 23.09/23.47 parent1[0]: (9262) {G15,W4,D2,L1,V0,M1} R(9208,443) { coll( skol20, skol24
% 23.09/23.47 , skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (28841) {G16,W4,D2,L1,V0,M1} R(28785,67);r(9262) { midp(
% 23.09/23.47 skol20, skol24, skol24 ) }.
% 23.09/23.47 parent0: (72459) {G2,W4,D2,L1,V0,M1} { midp( skol20, skol24, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72460) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol24,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 parent0[0]: (537) {G2,W10,D2,L2,V4,M2} F(522) { ! cong( X, Y, Z, T ), cong
% 23.09/23.47 ( Z, T, Z, T ) }.
% 23.09/23.47 parent1[0]: (28819) {G4,W5,D2,L1,V0,M1} R(28785,503) { cong( skol20, skol24
% 23.09/23.47 , skol24, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol20
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol24
% 23.09/23.47 T := skol20
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (28953) {G5,W5,D2,L1,V0,M1} R(28819,537) { cong( skol24,
% 23.09/23.47 skol20, skol24, skol20 ) }.
% 23.09/23.47 parent0: (72460) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol24,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72461) {G1,W8,D2,L2,V0,M2} { ! coll( skol24, skol20, skol20 )
% 23.09/23.47 , midp( skol24, skol20, skol20 ) }.
% 23.09/23.47 parent0[0]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 23.09/23.47 Y, Z ), midp( X, Y, Z ) }.
% 23.09/23.47 parent1[0]: (28953) {G5,W5,D2,L1,V0,M1} R(28819,537) { cong( skol24, skol20
% 23.09/23.47 , skol24, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol20
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72462) {G2,W4,D2,L1,V0,M1} { midp( skol24, skol20, skol20 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[0]: (72461) {G1,W8,D2,L2,V0,M2} { ! coll( skol24, skol20, skol20 )
% 23.09/23.47 , midp( skol24, skol20, skol20 ) }.
% 23.09/23.47 parent1[0]: (9261) {G15,W4,D2,L1,V0,M1} R(9208,546) { coll( skol24, skol20
% 23.09/23.47 , skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (28988) {G16,W4,D2,L1,V0,M1} R(28953,67);r(9261) { midp(
% 23.09/23.47 skol24, skol20, skol20 ) }.
% 23.09/23.47 parent0: (72462) {G2,W4,D2,L1,V0,M1} { midp( skol24, skol20, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72463) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol20
% 23.09/23.47 ), ! coll( skol20, skol20, skol20 ), midp( skol7( skol20, X ), skol20, X
% 23.09/23.47 ) }.
% 23.09/23.47 parent0[0]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 23.09/23.47 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 23.09/23.47 parent1[0]: (28988) {G16,W4,D2,L1,V0,M1} R(28953,67);r(9261) { midp( skol24
% 23.09/23.47 , skol20, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol20
% 23.09/23.47 T := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72464) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol20, skol20 ),
% 23.09/23.47 midp( skol7( skol20, X ), skol20, X ) }.
% 23.09/23.47 parent0[0, 1]: (72463) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20,
% 23.09/23.47 skol20 ), ! coll( skol20, skol20, skol20 ), midp( skol7( skol20, X ),
% 23.09/23.47 skol20, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72466) {G3,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20
% 23.09/23.47 , X ) }.
% 23.09/23.47 parent0[0]: (72464) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol20, skol20
% 23.09/23.47 ), midp( skol7( skol20, X ), skol20, X ) }.
% 23.09/23.47 parent1[0]: (278) {G4,W4,D2,L1,V0,M1} R(218,198) { coll( skol20, skol20,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (29012) {G17,W6,D3,L1,V1,M1} R(28988,145);f;r(278) { midp(
% 23.09/23.47 skol7( skol20, X ), skol20, X ) }.
% 23.09/23.47 parent0: (72466) {G3,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20, X
% 23.09/23.47 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72467) {G11,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 23.09/23.47 parent0[0]: (455) {G10,W8,D2,L2,V3,M2} R(452,0) { ! midp( X, Y, Z ), coll(
% 23.09/23.47 Y, Y, Z ) }.
% 23.09/23.47 parent1[0]: (29012) {G17,W6,D3,L1,V1,M1} R(28988,145);f;r(278) { midp(
% 23.09/23.47 skol7( skol20, X ), skol20, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol7( skol20, X )
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (29677) {G18,W4,D2,L1,V1,M1} R(29012,455) { coll( skol20,
% 23.09/23.47 skol20, X ) }.
% 23.09/23.47 parent0: (72467) {G11,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72468) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), X,
% 23.09/23.47 skol20 ) }.
% 23.09/23.47 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.47 }.
% 23.09/23.47 parent1[0]: (29012) {G17,W6,D3,L1,V1,M1} R(28988,145);f;r(278) { midp(
% 23.09/23.47 skol7( skol20, X ), skol20, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol7( skol20, X )
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (29681) {G18,W6,D3,L1,V1,M1} R(29012,10) { midp( skol7( skol20
% 23.09/23.47 , X ), X, skol20 ) }.
% 23.09/23.47 parent0: (72468) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), X, skol20
% 23.09/23.47 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72469) {G13,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ),
% 23.09/23.47 coll( skol24, X, skol20 ) }.
% 23.09/23.47 parent0[0]: (543) {G12,W12,D2,L3,V4,M3} R(540,2) { ! midp( X, Y, Z ), !
% 23.09/23.47 coll( Z, Z, T ), coll( X, T, Z ) }.
% 23.09/23.47 parent1[0]: (28988) {G16,W4,D2,L1,V0,M1} R(28953,67);r(9261) { midp( skol24
% 23.09/23.47 , skol20, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := skol20
% 23.09/23.47 T := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72470) {G14,W4,D2,L1,V1,M1} { coll( skol24, X, skol20 ) }.
% 23.09/23.47 parent0[0]: (72469) {G13,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ),
% 23.09/23.47 coll( skol24, X, skol20 ) }.
% 23.09/23.47 parent1[0]: (29677) {G18,W4,D2,L1,V1,M1} R(29012,455) { coll( skol20,
% 23.09/23.47 skol20, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (29697) {G19,W4,D2,L1,V1,M1} R(543,28988);r(29677) { coll(
% 23.09/23.47 skol24, X, skol20 ) }.
% 23.09/23.47 parent0: (72470) {G14,W4,D2,L1,V1,M1} { coll( skol24, X, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72471) {G2,W4,D2,L1,V1,M1} { coll( X, skol20, skol24 ) }.
% 23.09/23.47 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.09/23.47 Z, X ) }.
% 23.09/23.47 parent1[0]: (29697) {G19,W4,D2,L1,V1,M1} R(543,28988);r(29677) { coll(
% 23.09/23.47 skol24, X, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 Y := X
% 23.09/23.47 Z := skol20
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (29950) {G20,W4,D2,L1,V1,M1} R(29697,167) { coll( X, skol20,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 parent0: (72471) {G2,W4,D2,L1,V1,M1} { coll( X, skol20, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72472) {G10,W4,D2,L1,V1,M1} { coll( skol26, X, skol24 ) }.
% 23.09/23.47 parent0[0]: (18018) {G9,W8,D2,L2,V2,M2} F(17963) { ! coll( X, skol20, Y ),
% 23.09/23.47 coll( skol26, X, Y ) }.
% 23.09/23.47 parent1[0]: (29950) {G20,W4,D2,L1,V1,M1} R(29697,167) { coll( X, skol20,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (29961) {G21,W4,D2,L1,V1,M1} R(29950,18018) { coll( skol26, X
% 23.09/23.47 , skol24 ) }.
% 23.09/23.47 parent0: (72472) {G10,W4,D2,L1,V1,M1} { coll( skol26, X, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72473) {G2,W4,D2,L1,V1,M1} { coll( X, skol24, skol26 ) }.
% 23.09/23.47 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.09/23.47 Z, X ) }.
% 23.09/23.47 parent1[0]: (29961) {G21,W4,D2,L1,V1,M1} R(29950,18018) { coll( skol26, X,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol26
% 23.09/23.47 Y := X
% 23.09/23.47 Z := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (30000) {G22,W4,D2,L1,V1,M1} R(29961,167) { coll( X, skol24,
% 23.09/23.47 skol26 ) }.
% 23.09/23.47 parent0: (72473) {G2,W4,D2,L1,V1,M1} { coll( X, skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72474) {G8,W4,D2,L1,V1,M1} { coll( X, skol26, skol22 ) }.
% 23.09/23.47 parent0[0]: (3398) {G7,W8,D2,L2,V2,M2} R(3367,167) { ! coll( X, Y, skol26 )
% 23.09/23.47 , coll( X, skol26, skol22 ) }.
% 23.09/23.47 parent1[0]: (30000) {G22,W4,D2,L1,V1,M1} R(29961,167) { coll( X, skol24,
% 23.09/23.47 skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (30023) {G23,W4,D2,L1,V1,M1} R(30000,3398) { coll( X, skol26,
% 23.09/23.47 skol22 ) }.
% 23.09/23.47 parent0: (72474) {G8,W4,D2,L1,V1,M1} { coll( X, skol26, skol22 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72475) {G11,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 23.09/23.47 parent0[1]: (3511) {G10,W8,D2,L2,V2,M2} R(3430,167) { coll( skol22, skol22
% 23.09/23.47 , X ), ! coll( X, skol26, Y ) }.
% 23.09/23.47 parent1[0]: (30023) {G23,W4,D2,L1,V1,M1} R(30000,3398) { coll( X, skol26,
% 23.09/23.47 skol22 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol22
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (30216) {G24,W4,D2,L1,V1,M1} R(30023,3511) { coll( skol22,
% 23.09/23.47 skol22, X ) }.
% 23.09/23.47 parent0: (72475) {G11,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72476) {G2,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 23.09/23.47 coll( X, skol22, Y ) }.
% 23.09/23.47 parent0[0]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 23.09/23.47 X, Y, T ), coll( Z, X, T ) }.
% 23.09/23.47 parent1[0]: (30216) {G24,W4,D2,L1,V1,M1} R(30023,3511) { coll( skol22,
% 23.09/23.47 skol22, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol22
% 23.09/23.47 Y := skol22
% 23.09/23.47 Z := X
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72478) {G3,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 23.09/23.47 parent0[0]: (72476) {G2,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 23.09/23.47 coll( X, skol22, Y ) }.
% 23.09/23.47 parent1[0]: (30216) {G24,W4,D2,L1,V1,M1} R(30023,3511) { coll( skol22,
% 23.09/23.47 skol22, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (30255) {G25,W4,D2,L1,V2,M1} R(30216,193);r(30216) { coll( Y,
% 23.09/23.47 skol22, X ) }.
% 23.09/23.47 parent0: (72478) {G3,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72479) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 23.09/23.47 , X, Z ) }.
% 23.09/23.47 parent0[0]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 23.09/23.47 X, Y, T ), coll( Z, X, T ) }.
% 23.09/23.47 parent1[0]: (30255) {G25,W4,D2,L1,V2,M1} R(30216,193);r(30216) { coll( Y,
% 23.09/23.47 skol22, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol22
% 23.09/23.47 Z := Y
% 23.09/23.47 T := Z
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72481) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 23.09/23.47 parent0[0]: (72479) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 23.09/23.47 , X, Z ) }.
% 23.09/23.47 parent1[0]: (30255) {G25,W4,D2,L1,V2,M1} R(30216,193);r(30216) { coll( Y,
% 23.09/23.47 skol22, X ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Z
% 23.09/23.47 Z := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := Y
% 23.09/23.47 Y := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (30270) {G26,W4,D2,L1,V3,M1} R(30255,193);r(30255) { coll( Z,
% 23.09/23.47 X, Y ) }.
% 23.09/23.47 parent0: (72481) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 Z := Z
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72482) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol20 ), ! coll
% 23.09/23.47 ( skol20, X, skol20 ), midp( skol7( X, Y ), X, Y ) }.
% 23.09/23.47 parent0[0]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 23.09/23.47 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 23.09/23.47 parent1[0]: (29681) {G18,W6,D3,L1,V1,M1} R(29012,10) { midp( skol7( skol20
% 23.09/23.47 , X ), X, skol20 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol7( skol20, X )
% 23.09/23.47 Y := X
% 23.09/23.47 Z := skol20
% 23.09/23.47 T := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72485) {G3,W10,D3,L2,V2,M2} { ! coll( skol20, X, skol20 ),
% 23.09/23.47 midp( skol7( X, Y ), X, Y ) }.
% 23.09/23.47 parent0[0]: (72482) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol20 ), ! coll
% 23.09/23.47 ( skol20, X, skol20 ), midp( skol7( X, Y ), X, Y ) }.
% 23.09/23.47 parent1[0]: (30270) {G26,W4,D2,L1,V3,M1} R(30255,193);r(30255) { coll( Z, X
% 23.09/23.47 , Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol20
% 23.09/23.47 Z := X
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (30344) {G27,W10,D3,L2,V2,M2} R(29681,145);r(30270) { ! coll(
% 23.09/23.47 skol20, X, skol20 ), midp( skol7( X, Y ), X, Y ) }.
% 23.09/23.47 parent0: (72485) {G3,W10,D3,L2,V2,M2} { ! coll( skol20, X, skol20 ), midp
% 23.09/23.47 ( skol7( X, Y ), X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72487) {G4,W8,D2,L2,V1,M2} { ! midp( skol20, X, skol24 ),
% 23.09/23.47 midp( skol23, X, skol26 ) }.
% 23.09/23.47 parent0[1]: (994) {G3,W12,D2,L3,V1,M3} R(45,235) { ! midp( skol20, X,
% 23.09/23.47 skol24 ), ! coll( skol23, X, skol26 ), midp( skol23, X, skol26 ) }.
% 23.09/23.47 parent1[0]: (30270) {G26,W4,D2,L1,V3,M1} R(30255,193);r(30255) { coll( Z, X
% 23.09/23.47 , Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 X := X
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol23
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32333) {G27,W8,D2,L2,V1,M2} S(994);r(30270) { ! midp( skol20
% 23.09/23.47 , X, skol24 ), midp( skol23, X, skol26 ) }.
% 23.09/23.47 parent0: (72487) {G4,W8,D2,L2,V1,M2} { ! midp( skol20, X, skol24 ), midp(
% 23.09/23.47 skol23, X, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72488) {G17,W4,D2,L1,V0,M1} { midp( skol23, skol24, skol26 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[0]: (32333) {G27,W8,D2,L2,V1,M2} S(994);r(30270) { ! midp( skol20,
% 23.09/23.47 X, skol24 ), midp( skol23, X, skol26 ) }.
% 23.09/23.47 parent1[0]: (28841) {G16,W4,D2,L1,V0,M1} R(28785,67);r(9262) { midp( skol20
% 23.09/23.47 , skol24, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32347) {G28,W4,D2,L1,V0,M1} R(32333,28841) { midp( skol23,
% 23.09/23.47 skol24, skol26 ) }.
% 23.09/23.47 parent0: (72488) {G17,W4,D2,L1,V0,M1} { midp( skol23, skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72489) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol24, skol23,
% 23.09/23.47 skol26 ) }.
% 23.09/23.47 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 23.09/23.47 Z ) }.
% 23.09/23.47 parent1[0]: (32347) {G28,W4,D2,L1,V0,M1} R(32333,28841) { midp( skol23,
% 23.09/23.47 skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol26
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32390) {G29,W5,D2,L1,V0,M1} R(32347,68) { cong( skol23,
% 23.09/23.47 skol24, skol23, skol26 ) }.
% 23.09/23.47 parent0: (72489) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol24, skol23,
% 23.09/23.47 skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72490) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol24 )
% 23.09/23.47 }.
% 23.09/23.47 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.47 }.
% 23.09/23.47 parent1[0]: (32347) {G28,W4,D2,L1,V0,M1} R(32333,28841) { midp( skol23,
% 23.09/23.47 skol24, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol26
% 23.09/23.47 Y := skol24
% 23.09/23.47 Z := skol23
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32399) {G29,W4,D2,L1,V0,M1} R(32347,10) { midp( skol23,
% 23.09/23.47 skol26, skol24 ) }.
% 23.09/23.47 parent0: (72490) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72491) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 23.09/23.47 Z ) }.
% 23.09/23.47 parent1[0]: (32399) {G29,W4,D2,L1,V0,M1} R(32347,10) { midp( skol23, skol26
% 23.09/23.47 , skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32421) {G30,W5,D2,L1,V0,M1} R(32399,68) { cong( skol23,
% 23.09/23.47 skol26, skol23, skol24 ) }.
% 23.09/23.47 parent0: (72491) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72492) {G3,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 23.09/23.47 skol26 ) }.
% 23.09/23.47 parent0[0]: (536) {G2,W10,D2,L2,V4,M2} F(523) { ! cong( X, Y, Z, T ), cong
% 23.09/23.47 ( X, Y, X, Y ) }.
% 23.09/23.47 parent1[0]: (32421) {G30,W5,D2,L1,V0,M1} R(32399,68) { cong( skol23, skol26
% 23.09/23.47 , skol23, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol23
% 23.09/23.47 T := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32429) {G31,W5,D2,L1,V0,M1} R(32421,536) { cong( skol23,
% 23.09/23.47 skol26, skol23, skol26 ) }.
% 23.09/23.47 parent0: (72492) {G3,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 23.09/23.47 skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72494) {G2,W15,D2,L3,V2,M3} { ! cong( skol23, X, skol23,
% 23.09/23.47 skol26 ), ! cong( skol23, skol26, skol23, Y ), cyclic( skol26, skol24, X
% 23.09/23.47 , Y ) }.
% 23.09/23.47 parent0[1]: (505) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 23.09/23.47 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 23.09/23.47 parent1[0]: (32421) {G30,W5,D2,L1,V0,M1} R(32399,68) { cong( skol23, skol26
% 23.09/23.47 , skol23, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := X
% 23.09/23.47 Z := skol26
% 23.09/23.47 T := skol24
% 23.09/23.47 U := Y
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32467) {G31,W15,D2,L3,V2,M3} R(32421,505) { ! cong( skol23, X
% 23.09/23.47 , skol23, skol26 ), ! cong( skol23, skol26, skol23, Y ), cyclic( skol26,
% 23.09/23.47 skol24, X, Y ) }.
% 23.09/23.47 parent0: (72494) {G2,W15,D2,L3,V2,M3} { ! cong( skol23, X, skol23, skol26
% 23.09/23.47 ), ! cong( skol23, skol26, skol23, Y ), cyclic( skol26, skol24, X, Y )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72501) {G2,W15,D2,L3,V2,M3} { ! cong( skol23, X, skol23,
% 23.09/23.47 skol26 ), ! cong( skol23, skol26, skol23, Y ), cyclic( skol26, X, Y,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 parent0[2]: (504) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 23.09/23.47 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 23.09/23.47 parent1[0]: (32421) {G30,W5,D2,L1,V0,M1} R(32399,68) { cong( skol23, skol26
% 23.09/23.47 , skol23, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := X
% 23.09/23.47 Z := skol26
% 23.09/23.47 T := Y
% 23.09/23.47 U := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32471) {G31,W15,D2,L3,V2,M3} R(32421,504) { ! cong( skol23, X
% 23.09/23.47 , skol23, skol26 ), ! cong( skol23, skol26, skol23, Y ), cyclic( skol26,
% 23.09/23.47 X, Y, skol24 ) }.
% 23.09/23.47 parent0: (72501) {G2,W15,D2,L3,V2,M3} { ! cong( skol23, X, skol23, skol26
% 23.09/23.47 ), ! cong( skol23, skol26, skol23, Y ), cyclic( skol26, X, Y, skol24 )
% 23.09/23.47 }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := X
% 23.09/23.47 Y := Y
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 1 ==> 1
% 23.09/23.47 2 ==> 2
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72505) {G2,W5,D2,L1,V0,M1} { cong( skol23, skol24, skol26,
% 23.09/23.47 skol23 ) }.
% 23.09/23.47 parent0[0]: (503) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 23.09/23.47 cong( Z, T, Y, X ) }.
% 23.09/23.47 parent1[0]: (32421) {G30,W5,D2,L1,V0,M1} R(32399,68) { cong( skol23, skol26
% 23.09/23.47 , skol23, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol23
% 23.09/23.47 T := skol24
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32472) {G31,W5,D2,L1,V0,M1} R(32421,503) { cong( skol23,
% 23.09/23.47 skol24, skol26, skol23 ) }.
% 23.09/23.47 parent0: (72505) {G2,W5,D2,L1,V0,M1} { cong( skol23, skol24, skol26,
% 23.09/23.47 skol23 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72506) {G31,W10,D2,L2,V0,M2} { ! cong( skol23, skol26, skol23,
% 23.09/23.47 skol26 ), cyclic( skol26, skol26, skol26, skol24 ) }.
% 23.09/23.47 parent0[0, 1]: (32471) {G31,W15,D2,L3,V2,M3} R(32421,504) { ! cong( skol23
% 23.09/23.47 , X, skol23, skol26 ), ! cong( skol23, skol26, skol23, Y ), cyclic(
% 23.09/23.47 skol26, X, Y, skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol26
% 23.09/23.47 Y := skol26
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72507) {G32,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol26
% 23.09/23.47 , skol24 ) }.
% 23.09/23.47 parent0[0]: (72506) {G31,W10,D2,L2,V0,M2} { ! cong( skol23, skol26, skol23
% 23.09/23.47 , skol26 ), cyclic( skol26, skol26, skol26, skol24 ) }.
% 23.09/23.47 parent1[0]: (32429) {G31,W5,D2,L1,V0,M1} R(32421,536) { cong( skol23,
% 23.09/23.47 skol26, skol23, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32518) {G32,W5,D2,L1,V0,M1} F(32471);r(32429) { cyclic(
% 23.09/23.47 skol26, skol26, skol26, skol24 ) }.
% 23.09/23.47 parent0: (72507) {G32,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol26,
% 23.09/23.47 skol24 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 factor: (72508) {G31,W10,D2,L2,V0,M2} { ! cong( skol23, skol26, skol23,
% 23.09/23.47 skol26 ), cyclic( skol26, skol24, skol26, skol26 ) }.
% 23.09/23.47 parent0[0, 1]: (32467) {G31,W15,D2,L3,V2,M3} R(32421,505) { ! cong( skol23
% 23.09/23.47 , X, skol23, skol26 ), ! cong( skol23, skol26, skol23, Y ), cyclic(
% 23.09/23.47 skol26, skol24, X, Y ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol26
% 23.09/23.47 Y := skol26
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72509) {G32,W5,D2,L1,V0,M1} { cyclic( skol26, skol24, skol26
% 23.09/23.47 , skol26 ) }.
% 23.09/23.47 parent0[0]: (72508) {G31,W10,D2,L2,V0,M2} { ! cong( skol23, skol26, skol23
% 23.09/23.47 , skol26 ), cyclic( skol26, skol24, skol26, skol26 ) }.
% 23.09/23.47 parent1[0]: (32429) {G31,W5,D2,L1,V0,M1} R(32421,536) { cong( skol23,
% 23.09/23.47 skol26, skol23, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32520) {G32,W5,D2,L1,V0,M1} F(32467);r(32429) { cyclic(
% 23.09/23.47 skol26, skol24, skol26, skol26 ) }.
% 23.09/23.47 parent0: (72509) {G32,W5,D2,L1,V0,M1} { cyclic( skol26, skol24, skol26,
% 23.09/23.47 skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72510) {G2,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol26,
% 23.09/23.47 skol23 ) }.
% 23.09/23.47 parent0[0]: (503) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 23.09/23.47 cong( Z, T, Y, X ) }.
% 23.09/23.47 parent1[0]: (32429) {G31,W5,D2,L1,V0,M1} R(32421,536) { cong( skol23,
% 23.09/23.47 skol26, skol23, skol26 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol23
% 23.09/23.47 T := skol26
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32744) {G32,W5,D2,L1,V0,M1} R(32429,503) { cong( skol23,
% 23.09/23.47 skol26, skol26, skol23 ) }.
% 23.09/23.47 parent0: (72510) {G2,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol26,
% 23.09/23.47 skol23 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 end
% 23.09/23.47 permutation0:
% 23.09/23.47 0 ==> 0
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 resolution: (72511) {G3,W5,D2,L1,V0,M1} { cong( skol26, skol23, skol26,
% 23.09/23.47 skol23 ) }.
% 23.09/23.47 parent0[0]: (537) {G2,W10,D2,L2,V4,M2} F(522) { ! cong( X, Y, Z, T ), cong
% 23.09/23.47 ( Z, T, Z, T ) }.
% 23.09/23.47 parent1[0]: (32744) {G32,W5,D2,L1,V0,M1} R(32429,503) { cong( skol23,
% 23.09/23.47 skol26, skol26, skol23 ) }.
% 23.09/23.47 substitution0:
% 23.09/23.47 X := skol23
% 23.09/23.47 Y := skol26
% 23.09/23.47 Z := skol26
% 23.09/23.47 T := skol23
% 23.09/23.47 end
% 23.09/23.47 substitution1:
% 23.09/23.47 end
% 23.09/23.47
% 23.09/23.47 subsumption: (32766) {G33,W5,D2,L1,V0,M1} R(32744,537) { cong( skol26,
% 23.09/23.47 skol23, skol26, skol23 ) }.
% 23.09/23.47 parent0: (72511) {G3,W5,D2,L1,V0,M1} { cong( skol26, skol23, skol26,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72512) {G3,W5,D2,L1,V0,M1} { cyclic( skol24, skol26, skol26,
% 23.09/23.48 skol26 ) }.
% 23.09/23.48 parent0[0]: (408) {G2,W10,D2,L2,V4,M2} F(403) { ! cyclic( X, Y, Z, T ),
% 23.09/23.48 cyclic( Y, T, Z, T ) }.
% 23.09/23.48 parent1[0]: (32520) {G32,W5,D2,L1,V0,M1} F(32467);r(32429) { cyclic( skol26
% 23.09/23.48 , skol24, skol26, skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := skol26
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (32948) {G33,W5,D2,L1,V0,M1} R(32520,408) { cyclic( skol24,
% 23.09/23.48 skol26, skol26, skol26 ) }.
% 23.09/23.48 parent0: (72512) {G3,W5,D2,L1,V0,M1} { cyclic( skol24, skol26, skol26,
% 23.09/23.48 skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72513) {G3,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (409) {G2,W10,D2,L2,V4,M2} F(400) { ! cyclic( X, Y, Z, T ),
% 23.09/23.48 cyclic( Z, Y, T, T ) }.
% 23.09/23.48 parent1[0]: (32518) {G32,W5,D2,L1,V0,M1} F(32471);r(32429) { cyclic( skol26
% 23.09/23.48 , skol26, skol26, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := skol26
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (32969) {G33,W5,D2,L1,V0,M1} R(32518,409) { cyclic( skol26,
% 23.09/23.48 skol26, skol24, skol24 ) }.
% 23.09/23.48 parent0: (72513) {G3,W5,D2,L1,V0,M1} { cyclic( skol26, skol26, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72514) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol26, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[1]: (374) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 23.09/23.48 cyclic( Y, Z, X, T ) }.
% 23.09/23.48 parent1[0]: (32969) {G33,W5,D2,L1,V0,M1} R(32518,409) { cyclic( skol26,
% 23.09/23.48 skol26, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol26
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (33000) {G34,W5,D2,L1,V0,M1} R(32969,374) { cyclic( skol24,
% 23.09/23.48 skol26, skol26, skol24 ) }.
% 23.09/23.48 parent0: (72514) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol26, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72515) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol26,
% 23.09/23.48 skol26, skol26 ), cong( skol24, skol26, skol24, skol26 ) }.
% 23.09/23.48 parent0[0]: (958) {G2,W15,D2,L3,V3,M3} F(925) { ! cyclic( X, Y, Z, X ), !
% 23.09/23.48 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 23.09/23.48 parent1[0]: (33000) {G34,W5,D2,L1,V0,M1} R(32969,374) { cyclic( skol24,
% 23.09/23.48 skol26, skol26, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol26
% 23.09/23.48 Z := skol26
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72516) {G4,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol24,
% 23.09/23.48 skol26 ) }.
% 23.09/23.48 parent0[0]: (72515) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol24, skol26,
% 23.09/23.48 skol26, skol26 ), cong( skol24, skol26, skol24, skol26 ) }.
% 23.09/23.48 parent1[0]: (32948) {G33,W5,D2,L1,V0,M1} R(32520,408) { cyclic( skol24,
% 23.09/23.48 skol26, skol26, skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (33006) {G35,W5,D2,L1,V0,M1} R(33000,958);r(32948) { cong(
% 23.09/23.48 skol24, skol26, skol24, skol26 ) }.
% 23.09/23.48 parent0: (72516) {G4,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol24,
% 23.09/23.48 skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72517) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol26, skol24,
% 23.09/23.48 skol26 ) }.
% 23.09/23.48 parent0[0]: (357) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 23.09/23.48 cyclic( X, Z, T, Y ) }.
% 23.09/23.48 parent1[0]: (33000) {G34,W5,D2,L1,V0,M1} R(32969,374) { cyclic( skol24,
% 23.09/23.48 skol26, skol26, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol26
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (33013) {G35,W5,D2,L1,V0,M1} R(33000,357) { cyclic( skol24,
% 23.09/23.48 skol26, skol24, skol26 ) }.
% 23.09/23.48 parent0: (72517) {G2,W5,D2,L1,V0,M1} { cyclic( skol24, skol26, skol24,
% 23.09/23.48 skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72518) {G2,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (503) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 23.09/23.48 cong( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (33006) {G35,W5,D2,L1,V0,M1} R(33000,958);r(32948) { cong(
% 23.09/23.48 skol24, skol26, skol24, skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol26
% 23.09/23.48 Z := skol24
% 23.09/23.48 T := skol26
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (33028) {G36,W5,D2,L1,V0,M1} R(33006,503) { cong( skol24,
% 23.09/23.48 skol26, skol26, skol24 ) }.
% 23.09/23.48 parent0: (72518) {G2,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72519) {G3,W5,D2,L1,V0,M1} { cong( skol26, skol24, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (537) {G2,W10,D2,L2,V4,M2} F(522) { ! cong( X, Y, Z, T ), cong
% 23.09/23.48 ( Z, T, Z, T ) }.
% 23.09/23.48 parent1[0]: (33028) {G36,W5,D2,L1,V0,M1} R(33006,503) { cong( skol24,
% 23.09/23.48 skol26, skol26, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol26
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (33052) {G37,W5,D2,L1,V0,M1} R(33028,537) { cong( skol26,
% 23.09/23.48 skol24, skol26, skol24 ) }.
% 23.09/23.48 parent0: (72519) {G3,W5,D2,L1,V0,M1} { cong( skol26, skol24, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72520) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol26, skol26,
% 23.09/23.48 skol24, skol24 ), perp( skol24, skol26, skol26, skol24 ) }.
% 23.09/23.48 parent0[0]: (136) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 23.09/23.48 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 23.09/23.48 parent1[0]: (33052) {G37,W5,D2,L1,V0,M1} R(33028,537) { cong( skol26,
% 23.09/23.48 skol24, skol26, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol26
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72521) {G3,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (72520) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol26, skol26,
% 23.09/23.48 skol24, skol24 ), perp( skol24, skol26, skol26, skol24 ) }.
% 23.09/23.48 parent1[0]: (32969) {G33,W5,D2,L1,V0,M1} R(32518,409) { cyclic( skol26,
% 23.09/23.48 skol26, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (33074) {G38,W5,D2,L1,V0,M1} R(33052,136);r(32969) { perp(
% 23.09/23.48 skol24, skol26, skol26, skol24 ) }.
% 23.09/23.48 parent0: (72521) {G3,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72522) {G3,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (423) {G2,W10,D2,L2,V2,M2} R(238,9) { ! perp( skol24, skol26, X
% 23.09/23.48 , Y ), perp( skol23, skol20, X, Y ) }.
% 23.09/23.48 parent1[0]: (33074) {G38,W5,D2,L1,V0,M1} R(33052,136);r(32969) { perp(
% 23.09/23.48 skol24, skol26, skol26, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (33092) {G39,W5,D2,L1,V0,M1} R(33074,423) { perp( skol23,
% 23.09/23.48 skol20, skol26, skol24 ) }.
% 23.09/23.48 parent0: (72522) {G3,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol26,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72523) {G2,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol23,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 parent0[1]: (273) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 23.09/23.48 ( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (33092) {G39,W5,D2,L1,V0,M1} R(33074,423) { perp( skol23,
% 23.09/23.48 skol20, skol26, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol26
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (33171) {G40,W5,D2,L1,V0,M1} R(33092,273) { perp( skol24,
% 23.09/23.48 skol26, skol23, skol20 ) }.
% 23.09/23.48 parent0: (72523) {G2,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol23,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72524) {G1,W9,D2,L2,V0,M2} { ! midp( skol26, skol23, skol20 )
% 23.09/23.48 , cong( skol24, skol23, skol24, skol20 ) }.
% 23.09/23.48 parent0[1]: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T,
% 23.09/23.48 X, Y ), cong( Z, X, Z, Y ) }.
% 23.09/23.48 parent1[0]: (33171) {G40,W5,D2,L1,V0,M1} R(33092,273) { perp( skol24,
% 23.09/23.48 skol26, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol20
% 23.09/23.48 Z := skol24
% 23.09/23.48 T := skol26
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (34692) {G41,W9,D2,L2,V0,M2} R(33171,55) { ! midp( skol26,
% 23.09/23.48 skol23, skol20 ), cong( skol24, skol23, skol24, skol20 ) }.
% 23.09/23.48 parent0: (72524) {G1,W9,D2,L2,V0,M2} { ! midp( skol26, skol23, skol20 ),
% 23.09/23.48 cong( skol24, skol23, skol24, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72525) {G2,W5,D2,L1,V0,M1} { cong( skol26, skol23, skol24,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 parent0[0]: (503) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 23.09/23.48 cong( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (32472) {G31,W5,D2,L1,V0,M1} R(32421,503) { cong( skol23,
% 23.09/23.48 skol24, skol26, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (35053) {G32,W5,D2,L1,V0,M1} R(32472,503) { cong( skol26,
% 23.09/23.48 skol23, skol24, skol23 ) }.
% 23.09/23.48 parent0: (72525) {G2,W5,D2,L1,V0,M1} { cong( skol26, skol23, skol24,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72526) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 parent0[0]: (135) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp(
% 23.09/23.48 X, Z, Y, Y ) }.
% 23.09/23.48 parent1[0]: (35053) {G32,W5,D2,L1,V0,M1} R(32472,503) { cong( skol26,
% 23.09/23.48 skol23, skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (35073) {G33,W5,D2,L1,V0,M1} R(35053,135) { perp( skol26,
% 23.09/23.48 skol24, skol23, skol23 ) }.
% 23.09/23.48 parent0: (72526) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72527) {G3,W8,D2,L2,V1,M2} { ! midp( skol24, X, skol20 ),
% 23.09/23.48 midp( skol26, X, skol23 ) }.
% 23.09/23.48 parent0[1]: (1041) {G2,W12,D2,L3,V1,M3} R(45,210) { ! midp( skol24, X,
% 23.09/23.48 skol20 ), ! coll( skol26, X, skol23 ), midp( skol26, X, skol23 ) }.
% 23.09/23.48 parent1[0]: (30270) {G26,W4,D2,L1,V3,M1} R(30255,193);r(30255) { coll( Z, X
% 23.09/23.48 , Y ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol26
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (35083) {G27,W8,D2,L2,V1,M2} S(1041);r(30270) { ! midp( skol24
% 23.09/23.48 , X, skol20 ), midp( skol26, X, skol23 ) }.
% 23.09/23.48 parent0: (72527) {G3,W8,D2,L2,V1,M2} { ! midp( skol24, X, skol20 ), midp(
% 23.09/23.48 skol26, X, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72528) {G7,W5,D2,L1,V0,M1} { para( skol23, skol24, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 parent0[0]: (371) {G6,W10,D2,L2,V2,M2} R(369,8) { ! perp( skol26, skol24, X
% 23.09/23.48 , Y ), para( skol23, skol24, X, Y ) }.
% 23.09/23.48 parent1[0]: (35073) {G33,W5,D2,L1,V0,M1} R(35053,135) { perp( skol26,
% 23.09/23.48 skol24, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (35090) {G34,W5,D2,L1,V0,M1} R(35073,371) { para( skol23,
% 23.09/23.48 skol24, skol23, skol23 ) }.
% 23.09/23.48 parent0: (72528) {G7,W5,D2,L1,V0,M1} { para( skol23, skol24, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72529) {G2,W5,D2,L1,V0,M1} { para( skol23, skol23, skol24,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 parent0[0]: (237) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 23.09/23.48 ( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (35090) {G34,W5,D2,L1,V0,M1} R(35073,371) { para( skol23,
% 23.09/23.48 skol24, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (35302) {G35,W5,D2,L1,V0,M1} R(35090,237) { para( skol23,
% 23.09/23.48 skol23, skol24, skol23 ) }.
% 23.09/23.48 parent0: (72529) {G2,W5,D2,L1,V0,M1} { para( skol23, skol23, skol24,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72530) {G2,W5,D2,L1,V0,M1} { para( skol23, skol23, skol23,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[1]: (236) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 23.09/23.48 ( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (35090) {G34,W5,D2,L1,V0,M1} R(35073,371) { para( skol23,
% 23.09/23.48 skol24, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (35303) {G35,W5,D2,L1,V0,M1} R(35090,236) { para( skol23,
% 23.09/23.48 skol23, skol23, skol24 ) }.
% 23.09/23.48 parent0: (72530) {G2,W5,D2,L1,V0,M1} { para( skol23, skol23, skol23,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72532) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol23, skol23 ), !
% 23.09/23.48 para( skol23, skol23, skol23, skol24 ), midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent0[2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 23.09/23.48 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 23.09/23.48 parent1[0]: (35090) {G34,W5,D2,L1,V0,M1} R(35073,371) { para( skol23,
% 23.09/23.48 skol24, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := X
% 23.09/23.48 T := skol23
% 23.09/23.48 U := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72534) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ),
% 23.09/23.48 midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent0[1]: (72532) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol23, skol23 ), !
% 23.09/23.48 para( skol23, skol23, skol23, skol24 ), midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent1[0]: (35303) {G35,W5,D2,L1,V0,M1} R(35090,236) { para( skol23,
% 23.09/23.48 skol23, skol23, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (35306) {G36,W8,D2,L2,V1,M2} R(35090,64);r(35303) { ! midp( X
% 23.09/23.48 , skol23, skol23 ), midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent0: (72534) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ), midp(
% 23.09/23.48 X, skol23, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72535) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol24 ),
% 23.09/23.48 midp( X, skol23, skol23 ) }.
% 23.09/23.48 parent0[1]: (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 23.09/23.48 , T, Z, T ), midp( X, T, T ) }.
% 23.09/23.48 parent1[0]: (35302) {G35,W5,D2,L1,V0,M1} R(35090,237) { para( skol23,
% 23.09/23.48 skol23, skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol24
% 23.09/23.48 T := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (35338) {G36,W8,D2,L2,V1,M2} R(35302,139) { ! midp( X, skol23
% 23.09/23.48 , skol24 ), midp( X, skol23, skol23 ) }.
% 23.09/23.48 parent0: (72535) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol24 ), midp(
% 23.09/23.48 X, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72536) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol24, skol26,
% 23.09/23.48 skol26 ) }.
% 23.09/23.48 parent0[0]: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 23.09/23.48 ( X, Y, Z, Z ) }.
% 23.09/23.48 parent1[0]: (32390) {G29,W5,D2,L1,V0,M1} R(32347,68) { cong( skol23, skol24
% 23.09/23.48 , skol23, skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol26
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (35593) {G30,W5,D2,L1,V0,M1} R(32390,125) { circle( skol23,
% 23.09/23.48 skol24, skol26, skol26 ) }.
% 23.09/23.48 parent0: (72536) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol24, skol26,
% 23.09/23.48 skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72537) {G2,W8,D2,L2,V1,M2} { ! midp( skol24, X, skol23 ),
% 23.09/23.48 midp( skol26, X, skol20 ) }.
% 23.09/23.48 parent0[1]: (1056) {G1,W12,D2,L3,V1,M3} R(45,121) { ! midp( skol24, X,
% 23.09/23.48 skol23 ), ! coll( skol26, X, skol20 ), midp( skol26, X, skol20 ) }.
% 23.09/23.48 parent1[0]: (30270) {G26,W4,D2,L1,V3,M1} R(30255,193);r(30255) { coll( Z, X
% 23.09/23.48 , Y ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 Y := skol20
% 23.09/23.48 Z := skol26
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (36064) {G27,W8,D2,L2,V1,M2} S(1056);r(30270) { ! midp( skol24
% 23.09/23.48 , X, skol23 ), midp( skol26, X, skol20 ) }.
% 23.09/23.48 parent0: (72537) {G2,W8,D2,L2,V1,M2} { ! midp( skol24, X, skol23 ), midp(
% 23.09/23.48 skol26, X, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72538) {G1,W8,D2,L2,V1,M2} { midp( skol26, X, skol20 ), !
% 23.09/23.48 midp( skol24, skol23, X ) }.
% 23.09/23.48 parent0[0]: (36064) {G27,W8,D2,L2,V1,M2} S(1056);r(30270) { ! midp( skol24
% 23.09/23.48 , X, skol23 ), midp( skol26, X, skol20 ) }.
% 23.09/23.48 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol24
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (38837) {G28,W8,D2,L2,V1,M2} R(36064,10) { midp( skol26, X,
% 23.09/23.48 skol20 ), ! midp( skol24, skol23, X ) }.
% 23.09/23.48 parent0: (72538) {G1,W8,D2,L2,V1,M2} { midp( skol26, X, skol20 ), ! midp(
% 23.09/23.48 skol24, skol23, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72540) {G1,W8,D2,L2,V1,M2} { midp( skol26, skol20, X ), !
% 23.09/23.48 midp( skol24, skol23, X ) }.
% 23.09/23.48 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 parent1[0]: (38837) {G28,W8,D2,L2,V1,M2} R(36064,10) { midp( skol26, X,
% 23.09/23.48 skol20 ), ! midp( skol24, skol23, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol20
% 23.09/23.48 Y := X
% 23.09/23.48 Z := skol26
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (38856) {G29,W8,D2,L2,V1,M2} R(38837,10) { ! midp( skol24,
% 23.09/23.48 skol23, X ), midp( skol26, skol20, X ) }.
% 23.09/23.48 parent0: (72540) {G1,W8,D2,L2,V1,M2} { midp( skol26, skol20, X ), ! midp(
% 23.09/23.48 skol24, skol23, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 1
% 23.09/23.48 1 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72541) {G17,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol23 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[0]: (35083) {G27,W8,D2,L2,V1,M2} S(1041);r(30270) { ! midp( skol24
% 23.09/23.48 , X, skol20 ), midp( skol26, X, skol23 ) }.
% 23.09/23.48 parent1[0]: (28988) {G16,W4,D2,L1,V0,M1} R(28953,67);r(9261) { midp( skol24
% 23.09/23.48 , skol20, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (39069) {G28,W4,D2,L1,V0,M1} R(35083,28988) { midp( skol26,
% 23.09/23.48 skol20, skol23 ) }.
% 23.09/23.48 parent0: (72541) {G17,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72542) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol23, skol20 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 parent1[0]: (39069) {G28,W4,D2,L1,V0,M1} R(35083,28988) { midp( skol26,
% 23.09/23.48 skol20, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol20
% 23.09/23.48 Z := skol26
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (39114) {G29,W4,D2,L1,V0,M1} R(39069,10) { midp( skol26,
% 23.09/23.48 skol23, skol20 ) }.
% 23.09/23.48 parent0: (72542) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72543) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol23, skol26,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 23.09/23.48 Z ) }.
% 23.09/23.48 parent1[0]: (39114) {G29,W4,D2,L1,V0,M1} R(39069,10) { midp( skol26, skol23
% 23.09/23.48 , skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (39135) {G30,W5,D2,L1,V0,M1} R(39114,68) { cong( skol26,
% 23.09/23.48 skol23, skol26, skol20 ) }.
% 23.09/23.48 parent0: (72543) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol23, skol26,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72546) {G2,W15,D2,L3,V2,M3} { ! cong( skol26, X, skol26,
% 23.09/23.48 skol23 ), ! cong( skol26, skol23, skol26, Y ), cyclic( skol23, X, Y,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 parent0[2]: (504) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 23.09/23.48 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 23.09/23.48 parent1[0]: (39135) {G30,W5,D2,L1,V0,M1} R(39114,68) { cong( skol26, skol23
% 23.09/23.48 , skol26, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := X
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := Y
% 23.09/23.48 U := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (39189) {G31,W15,D2,L3,V2,M3} R(39135,504) { ! cong( skol26, X
% 23.09/23.48 , skol26, skol23 ), ! cong( skol26, skol23, skol26, Y ), cyclic( skol23,
% 23.09/23.48 X, Y, skol20 ) }.
% 23.09/23.48 parent0: (72546) {G2,W15,D2,L3,V2,M3} { ! cong( skol26, X, skol26, skol23
% 23.09/23.48 ), ! cong( skol26, skol23, skol26, Y ), cyclic( skol23, X, Y, skol20 )
% 23.09/23.48 }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 2 ==> 2
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 factor: (72550) {G31,W10,D2,L2,V0,M2} { ! cong( skol26, skol23, skol26,
% 23.09/23.48 skol23 ), cyclic( skol23, skol23, skol23, skol20 ) }.
% 23.09/23.48 parent0[0, 1]: (39189) {G31,W15,D2,L3,V2,M3} R(39135,504) { ! cong( skol26
% 23.09/23.48 , X, skol26, skol23 ), ! cong( skol26, skol23, skol26, Y ), cyclic(
% 23.09/23.48 skol23, X, Y, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol23
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72551) {G32,W5,D2,L1,V0,M1} { cyclic( skol23, skol23, skol23
% 23.09/23.48 , skol20 ) }.
% 23.09/23.48 parent0[0]: (72550) {G31,W10,D2,L2,V0,M2} { ! cong( skol26, skol23, skol26
% 23.09/23.48 , skol23 ), cyclic( skol23, skol23, skol23, skol20 ) }.
% 23.09/23.48 parent1[0]: (32766) {G33,W5,D2,L1,V0,M1} R(32744,537) { cong( skol26,
% 23.09/23.48 skol23, skol26, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (39233) {G34,W5,D2,L1,V0,M1} F(39189);r(32766) { cyclic(
% 23.09/23.48 skol23, skol23, skol23, skol20 ) }.
% 23.09/23.48 parent0: (72551) {G32,W5,D2,L1,V0,M1} { cyclic( skol23, skol23, skol23,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72552) {G3,W5,D2,L1,V0,M1} { cyclic( skol23, skol20, skol23,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 parent0[0]: (408) {G2,W10,D2,L2,V4,M2} F(403) { ! cyclic( X, Y, Z, T ),
% 23.09/23.48 cyclic( Y, T, Z, T ) }.
% 23.09/23.48 parent1[0]: (39233) {G34,W5,D2,L1,V0,M1} F(39189);r(32766) { cyclic( skol23
% 23.09/23.48 , skol23, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (39268) {G35,W5,D2,L1,V0,M1} R(39233,408) { cyclic( skol23,
% 23.09/23.48 skol20, skol23, skol20 ) }.
% 23.09/23.48 parent0: (72552) {G3,W5,D2,L1,V0,M1} { cyclic( skol23, skol20, skol23,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72553) {G30,W5,D2,L1,V0,M1} { cong( skol24, skol23, skol24,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 parent0[0]: (34692) {G41,W9,D2,L2,V0,M2} R(33171,55) { ! midp( skol26,
% 23.09/23.48 skol23, skol20 ), cong( skol24, skol23, skol24, skol20 ) }.
% 23.09/23.48 parent1[0]: (39114) {G29,W4,D2,L1,V0,M1} R(39069,10) { midp( skol26, skol23
% 23.09/23.48 , skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40021) {G42,W5,D2,L1,V0,M1} S(34692);r(39114) { cong( skol24
% 23.09/23.48 , skol23, skol24, skol20 ) }.
% 23.09/23.48 parent0: (72553) {G30,W5,D2,L1,V0,M1} { cong( skol24, skol23, skol24,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72554) {G27,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 23.09/23.48 parent0[0]: (30344) {G27,W10,D3,L2,V2,M2} R(29681,145);r(30270) { ! coll(
% 23.09/23.48 skol20, X, skol20 ), midp( skol7( X, Y ), X, Y ) }.
% 23.09/23.48 parent1[0]: (30270) {G26,W4,D2,L1,V3,M1} R(30255,193);r(30255) { coll( Z, X
% 23.09/23.48 , Y ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 Y := skol20
% 23.09/23.48 Z := skol20
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40027) {G28,W6,D3,L1,V2,M1} S(30344);r(30270) { midp( skol7(
% 23.09/23.48 X, Y ), X, Y ) }.
% 23.09/23.48 parent0: (72554) {G27,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72555) {G2,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol23,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (503) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 23.09/23.48 cong( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (40021) {G42,W5,D2,L1,V0,M1} S(34692);r(39114) { cong( skol24,
% 23.09/23.48 skol23, skol24, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol24
% 23.09/23.48 T := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40236) {G43,W5,D2,L1,V0,M1} R(40021,503) { cong( skol24,
% 23.09/23.48 skol20, skol23, skol24 ) }.
% 23.09/23.48 parent0: (72555) {G2,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol23,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72556) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol23, skol20,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 parent0[0]: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 23.09/23.48 ( X, Y, Z, Z ) }.
% 23.09/23.48 parent1[0]: (40021) {G42,W5,D2,L1,V0,M1} S(34692);r(39114) { cong( skol24,
% 23.09/23.48 skol23, skol24, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40264) {G43,W5,D2,L1,V0,M1} R(40021,125) { circle( skol24,
% 23.09/23.48 skol23, skol20, skol20 ) }.
% 23.09/23.48 parent0: (72556) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol23, skol20,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72557) {G2,W5,D2,L1,V0,M1} { cong( skol23, skol24, skol20,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (503) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 23.09/23.48 cong( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (40236) {G43,W5,D2,L1,V0,M1} R(40021,503) { cong( skol24,
% 23.09/23.48 skol20, skol23, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol20
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40308) {G44,W5,D2,L1,V0,M1} R(40236,503) { cong( skol23,
% 23.09/23.48 skol24, skol20, skol24 ) }.
% 23.09/23.48 parent0: (72557) {G2,W5,D2,L1,V0,M1} { cong( skol23, skol24, skol20,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72558) {G2,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (135) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp(
% 23.09/23.48 X, Z, Y, Y ) }.
% 23.09/23.48 parent1[0]: (40308) {G44,W5,D2,L1,V0,M1} R(40236,503) { cong( skol23,
% 23.09/23.48 skol24, skol20, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40329) {G45,W5,D2,L1,V0,M1} R(40308,135) { perp( skol23,
% 23.09/23.48 skol20, skol24, skol24 ) }.
% 23.09/23.48 parent0: (72558) {G2,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72559) {G2,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (314) {G1,W10,D2,L2,V2,M2} R(9,121) { ! perp( skol23, skol20, X
% 23.09/23.48 , Y ), perp( skol24, skol26, X, Y ) }.
% 23.09/23.48 parent1[0]: (40329) {G45,W5,D2,L1,V0,M1} R(40308,135) { perp( skol23,
% 23.09/23.48 skol20, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40343) {G46,W5,D2,L1,V0,M1} R(40329,314) { perp( skol24,
% 23.09/23.48 skol26, skol24, skol24 ) }.
% 23.09/23.48 parent0: (72559) {G2,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72560) {G8,W5,D2,L1,V0,M1} { para( skol23, skol24, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (383) {G7,W10,D2,L2,V2,M2} R(373,8) { ! perp( skol24, skol26, X
% 23.09/23.48 , Y ), para( skol23, skol24, X, Y ) }.
% 23.09/23.48 parent1[0]: (40343) {G46,W5,D2,L1,V0,M1} R(40329,314) { perp( skol24,
% 23.09/23.48 skol26, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40409) {G47,W5,D2,L1,V0,M1} R(40343,383) { para( skol23,
% 23.09/23.48 skol24, skol24, skol24 ) }.
% 23.09/23.48 parent0: (72560) {G8,W5,D2,L1,V0,M1} { para( skol23, skol24, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72561) {G3,W5,D2,L1,V0,M1} { para( skol24, skol23, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (353) {G2,W10,D2,L2,V2,M2} R(275,8) { ! perp( skol24, skol26, X
% 23.09/23.48 , Y ), para( skol24, skol23, X, Y ) }.
% 23.09/23.48 parent1[0]: (40343) {G46,W5,D2,L1,V0,M1} R(40329,314) { perp( skol24,
% 23.09/23.48 skol26, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40410) {G47,W5,D2,L1,V0,M1} R(40343,353) { para( skol24,
% 23.09/23.48 skol23, skol24, skol24 ) }.
% 23.09/23.48 parent0: (72561) {G3,W5,D2,L1,V0,M1} { para( skol24, skol23, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72562) {G2,W5,D2,L1,V0,M1} { para( skol24, skol24, skol24,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 parent0[0]: (237) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 23.09/23.48 ( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (40409) {G47,W5,D2,L1,V0,M1} R(40343,383) { para( skol23,
% 23.09/23.48 skol24, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol24
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40504) {G48,W5,D2,L1,V0,M1} R(40409,237) { para( skol24,
% 23.09/23.48 skol24, skol24, skol23 ) }.
% 23.09/23.48 parent0: (72562) {G2,W5,D2,L1,V0,M1} { para( skol24, skol24, skol24,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72563) {G2,W5,D2,L1,V0,M1} { para( skol24, skol24, skol23,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[1]: (236) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 23.09/23.48 ( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (40409) {G47,W5,D2,L1,V0,M1} R(40343,383) { para( skol23,
% 23.09/23.48 skol24, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40505) {G48,W5,D2,L1,V0,M1} R(40409,236) { para( skol24,
% 23.09/23.48 skol24, skol23, skol24 ) }.
% 23.09/23.48 parent0: (72563) {G2,W5,D2,L1,V0,M1} { para( skol24, skol24, skol23,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72564) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol24, skol24 ), !
% 23.09/23.48 para( skol24, skol23, skol24, skol24 ), midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 23.09/23.48 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 23.09/23.48 parent1[0]: (40504) {G48,W5,D2,L1,V0,M1} R(40409,237) { para( skol24,
% 23.09/23.48 skol24, skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := X
% 23.09/23.48 T := skol24
% 23.09/23.48 U := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72566) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol24, skol24 ),
% 23.09/23.48 midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent0[1]: (72564) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol24, skol24 ), !
% 23.09/23.48 para( skol24, skol23, skol24, skol24 ), midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent1[0]: (40410) {G47,W5,D2,L1,V0,M1} R(40343,353) { para( skol24,
% 23.09/23.48 skol23, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40538) {G49,W8,D2,L2,V1,M2} R(40504,64);r(40410) { ! midp( X
% 23.09/23.48 , skol24, skol24 ), midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent0: (72566) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol24, skol24 ), midp(
% 23.09/23.48 X, skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72567) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol24, skol23 ),
% 23.09/23.48 midp( X, skol24, skol24 ) }.
% 23.09/23.48 parent0[1]: (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 23.09/23.48 , T, Z, T ), midp( X, T, T ) }.
% 23.09/23.48 parent1[0]: (40505) {G48,W5,D2,L1,V0,M1} R(40409,236) { para( skol24,
% 23.09/23.48 skol24, skol23, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (40600) {G49,W8,D2,L2,V1,M2} R(40505,139) { ! midp( X, skol24
% 23.09/23.48 , skol23 ), midp( X, skol24, skol24 ) }.
% 23.09/23.48 parent0: (72567) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol24, skol23 ), midp(
% 23.09/23.48 X, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72568) {G2,W10,D2,L2,V0,M2} { perp( skol24, skol23, skol23,
% 23.09/23.48 skol23 ), ! cyclic( skol23, skol20, skol23, skol20 ) }.
% 23.09/23.48 parent0[0]: (1156) {G1,W15,D2,L3,V4,M3} R(49,40) { ! circle( X, Y, Z, T ),
% 23.09/23.48 perp( X, Y, Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 23.09/23.48 parent1[0]: (40264) {G43,W5,D2,L1,V0,M1} R(40021,125) { circle( skol24,
% 23.09/23.48 skol23, skol20, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol20
% 23.09/23.48 T := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72569) {G3,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 parent0[1]: (72568) {G2,W10,D2,L2,V0,M2} { perp( skol24, skol23, skol23,
% 23.09/23.48 skol23 ), ! cyclic( skol23, skol20, skol23, skol20 ) }.
% 23.09/23.48 parent1[0]: (39268) {G35,W5,D2,L1,V0,M1} R(39233,408) { cyclic( skol23,
% 23.09/23.48 skol20, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (41014) {G44,W5,D2,L1,V0,M1} R(1156,40264);r(39268) { perp(
% 23.09/23.48 skol24, skol23, skol23, skol23 ) }.
% 23.09/23.48 parent0: (72569) {G3,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72570) {G2,W10,D2,L2,V0,M2} { perp( skol23, skol24, skol24,
% 23.09/23.48 skol24 ), ! cyclic( skol24, skol26, skol24, skol26 ) }.
% 23.09/23.48 parent0[0]: (1156) {G1,W15,D2,L3,V4,M3} R(49,40) { ! circle( X, Y, Z, T ),
% 23.09/23.48 perp( X, Y, Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 23.09/23.48 parent1[0]: (35593) {G30,W5,D2,L1,V0,M1} R(32390,125) { circle( skol23,
% 23.09/23.48 skol24, skol26, skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := skol26
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72571) {G3,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[1]: (72570) {G2,W10,D2,L2,V0,M2} { perp( skol23, skol24, skol24,
% 23.09/23.48 skol24 ), ! cyclic( skol24, skol26, skol24, skol26 ) }.
% 23.09/23.48 parent1[0]: (33013) {G35,W5,D2,L1,V0,M1} R(33000,357) { cyclic( skol24,
% 23.09/23.48 skol26, skol24, skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (41033) {G36,W5,D2,L1,V0,M1} R(1156,35593);r(33013) { perp(
% 23.09/23.48 skol23, skol24, skol24, skol24 ) }.
% 23.09/23.48 parent0: (72571) {G3,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72572) {G5,W5,D2,L1,V0,M1} { para( skol26, skol24, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 parent0[0]: (363) {G4,W10,D2,L2,V2,M2} R(361,8) { ! perp( skol24, skol23, X
% 23.09/23.48 , Y ), para( skol26, skol24, X, Y ) }.
% 23.09/23.48 parent1[0]: (41014) {G44,W5,D2,L1,V0,M1} R(1156,40264);r(39268) { perp(
% 23.09/23.48 skol24, skol23, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (41244) {G45,W5,D2,L1,V0,M1} R(41014,363) { para( skol26,
% 23.09/23.48 skol24, skol23, skol23 ) }.
% 23.09/23.48 parent0: (72572) {G5,W5,D2,L1,V0,M1} { para( skol26, skol24, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72573) {G8,W5,D2,L1,V0,M1} { para( skol23, skol20, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 parent0[0]: (421) {G7,W10,D2,L2,V2,M2} R(419,5) { ! para( skol26, skol24, X
% 23.09/23.48 , Y ), para( skol23, skol20, X, Y ) }.
% 23.09/23.48 parent1[0]: (41244) {G45,W5,D2,L1,V0,M1} R(41014,363) { para( skol26,
% 23.09/23.48 skol24, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (41289) {G46,W5,D2,L1,V0,M1} R(41244,421) { para( skol23,
% 23.09/23.48 skol20, skol23, skol23 ) }.
% 23.09/23.48 parent0: (72573) {G8,W5,D2,L1,V0,M1} { para( skol23, skol20, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72574) {G5,W5,D2,L1,V0,M1} { para( skol20, skol23, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 parent0[0]: (393) {G4,W10,D2,L2,V2,M2} R(391,5) { ! para( skol26, skol24, X
% 23.09/23.48 , Y ), para( skol20, skol23, X, Y ) }.
% 23.09/23.48 parent1[0]: (41244) {G45,W5,D2,L1,V0,M1} R(41014,363) { para( skol26,
% 23.09/23.48 skol24, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (41290) {G46,W5,D2,L1,V0,M1} R(41244,393) { para( skol20,
% 23.09/23.48 skol23, skol23, skol23 ) }.
% 23.09/23.48 parent0: (72574) {G5,W5,D2,L1,V0,M1} { para( skol20, skol23, skol23,
% 23.09/23.48 skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72575) {G2,W5,D2,L1,V0,M1} { para( skol23, skol23, skol23,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 parent0[1]: (236) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 23.09/23.48 ( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (41289) {G46,W5,D2,L1,V0,M1} R(41244,421) { para( skol23,
% 23.09/23.48 skol20, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (41358) {G47,W5,D2,L1,V0,M1} R(41289,236) { para( skol23,
% 23.09/23.48 skol23, skol23, skol20 ) }.
% 23.09/23.48 parent0: (72575) {G2,W5,D2,L1,V0,M1} { para( skol23, skol23, skol23,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72576) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol23, skol23 ), !
% 23.09/23.48 para( skol23, skol23, skol23, skol20 ), midp( X, skol20, skol23 ) }.
% 23.09/23.48 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 23.09/23.48 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 23.09/23.48 parent1[0]: (41289) {G46,W5,D2,L1,V0,M1} R(41244,421) { para( skol23,
% 23.09/23.48 skol20, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol20
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := X
% 23.09/23.48 T := skol23
% 23.09/23.48 U := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72578) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ),
% 23.09/23.48 midp( X, skol20, skol23 ) }.
% 23.09/23.48 parent0[1]: (72576) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol23, skol23 ), !
% 23.09/23.48 para( skol23, skol23, skol23, skol20 ), midp( X, skol20, skol23 ) }.
% 23.09/23.48 parent1[0]: (41358) {G47,W5,D2,L1,V0,M1} R(41289,236) { para( skol23,
% 23.09/23.48 skol23, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (41360) {G48,W8,D2,L2,V1,M2} R(41289,64);r(41358) { ! midp( X
% 23.09/23.48 , skol23, skol23 ), midp( X, skol20, skol23 ) }.
% 23.09/23.48 parent0: (72578) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ), midp(
% 23.09/23.48 X, skol20, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72579) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol23 ),
% 23.09/23.48 midp( X, skol23, skol23 ) }.
% 23.09/23.48 parent0[1]: (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 23.09/23.48 , T, Z, T ), midp( X, T, T ) }.
% 23.09/23.48 parent1[0]: (41290) {G46,W5,D2,L1,V0,M1} R(41244,393) { para( skol20,
% 23.09/23.48 skol23, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := skol20
% 23.09/23.48 Z := skol23
% 23.09/23.48 T := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (41831) {G47,W8,D2,L2,V1,M2} R(41290,139) { ! midp( X, skol20
% 23.09/23.48 , skol23 ), midp( X, skol23, skol23 ) }.
% 23.09/23.48 parent0: (72579) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol23 ), midp(
% 23.09/23.48 X, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72580) {G6,W5,D2,L1,V0,M1} { para( skol26, skol24, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 parent0[0]: (367) {G5,W10,D2,L2,V2,M2} R(365,8) { ! perp( skol23, skol24, X
% 23.09/23.48 , Y ), para( skol26, skol24, X, Y ) }.
% 23.09/23.48 parent1[0]: (41033) {G36,W5,D2,L1,V0,M1} R(1156,35593);r(33013) { perp(
% 23.09/23.48 skol23, skol24, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (42175) {G37,W5,D2,L1,V0,M1} R(41033,367) { para( skol26,
% 23.09/23.48 skol24, skol24, skol24 ) }.
% 23.09/23.48 parent0: (72580) {G6,W5,D2,L1,V0,M1} { para( skol26, skol24, skol24,
% 23.09/23.48 skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72581) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol26, skol24 ),
% 23.09/23.48 midp( X, skol24, skol24 ) }.
% 23.09/23.48 parent0[1]: (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 23.09/23.48 , T, Z, T ), midp( X, T, T ) }.
% 23.09/23.48 parent1[0]: (42175) {G37,W5,D2,L1,V0,M1} R(41033,367) { para( skol26,
% 23.09/23.48 skol24, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := skol26
% 23.09/23.48 Z := skol24
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (42547) {G38,W8,D2,L2,V1,M2} R(42175,139) { ! midp( X, skol26
% 23.09/23.48 , skol24 ), midp( X, skol24, skol24 ) }.
% 23.09/23.48 parent0: (72581) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol26, skol24 ), midp(
% 23.09/23.48 X, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72582) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 23.09/23.48 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 parent1[0]: (40027) {G28,W6,D3,L1,V2,M1} S(30344);r(30270) { midp( skol7( X
% 23.09/23.48 , Y ), X, Y ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := Y
% 23.09/23.48 Y := X
% 23.09/23.48 Z := skol7( X, Y )
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (44007) {G29,W6,D3,L1,V2,M1} R(40027,10) { midp( skol7( X, Y )
% 23.09/23.48 , Y, X ) }.
% 23.09/23.48 parent0: (72582) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72583) {G30,W4,D2,L1,V0,M1} { midp( skol23, skol24, skol24 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[0]: (42547) {G38,W8,D2,L2,V1,M2} R(42175,139) { ! midp( X, skol26,
% 23.09/23.48 skol24 ), midp( X, skol24, skol24 ) }.
% 23.09/23.48 parent1[0]: (32399) {G29,W4,D2,L1,V0,M1} R(32347,10) { midp( skol23, skol26
% 23.09/23.48 , skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (46376) {G39,W4,D2,L1,V0,M1} R(42547,32399) { midp( skol23,
% 23.09/23.48 skol24, skol24 ) }.
% 23.09/23.48 parent0: (72583) {G30,W4,D2,L1,V0,M1} { midp( skol23, skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72584) {G37,W8,D2,L2,V1,M2} { midp( X, skol23, skol24 ), !
% 23.09/23.48 midp( X, skol20, skol23 ) }.
% 23.09/23.48 parent0[0]: (35306) {G36,W8,D2,L2,V1,M2} R(35090,64);r(35303) { ! midp( X,
% 23.09/23.48 skol23, skol23 ), midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent1[1]: (41831) {G47,W8,D2,L2,V1,M2} R(41290,139) { ! midp( X, skol20,
% 23.09/23.48 skol23 ), midp( X, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (46764) {G48,W8,D2,L2,V1,M2} R(41831,35306) { ! midp( X,
% 23.09/23.48 skol20, skol23 ), midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent0: (72584) {G37,W8,D2,L2,V1,M2} { midp( X, skol23, skol24 ), ! midp
% 23.09/23.48 ( X, skol20, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 1
% 23.09/23.48 1 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72585) {G1,W8,D2,L2,V1,M2} { midp( X, skol23, skol24 ), !
% 23.09/23.48 midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent0[0]: (46764) {G48,W8,D2,L2,V1,M2} R(41831,35306) { ! midp( X, skol20
% 23.09/23.48 , skol23 ), midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := skol20
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (49853) {G49,W8,D2,L2,V1,M2} R(46764,10) { midp( X, skol23,
% 23.09/23.48 skol24 ), ! midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent0: (72585) {G1,W8,D2,L2,V1,M2} { midp( X, skol23, skol24 ), ! midp(
% 23.09/23.48 X, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72587) {G1,W8,D2,L2,V1,M2} { midp( X, skol24, skol23 ), !
% 23.09/23.48 midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 parent1[0]: (49853) {G49,W8,D2,L2,V1,M2} R(46764,10) { midp( X, skol23,
% 23.09/23.48 skol24 ), ! midp( X, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 Y := skol23
% 23.09/23.48 Z := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (49885) {G50,W8,D2,L2,V1,M2} R(49853,10) { ! midp( X, skol23,
% 23.09/23.48 skol20 ), midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent0: (72587) {G1,W8,D2,L2,V1,M2} { midp( X, skol24, skol23 ), ! midp(
% 23.09/23.48 X, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 1
% 23.09/23.48 1 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72588) {G37,W8,D2,L2,V1,M2} { midp( X, skol20, skol23 ), !
% 23.09/23.48 midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent0[0]: (41360) {G48,W8,D2,L2,V1,M2} R(41289,64);r(41358) { ! midp( X,
% 23.09/23.48 skol23, skol23 ), midp( X, skol20, skol23 ) }.
% 23.09/23.48 parent1[1]: (35338) {G36,W8,D2,L2,V1,M2} R(35302,139) { ! midp( X, skol23,
% 23.09/23.48 skol24 ), midp( X, skol23, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (49967) {G49,W8,D2,L2,V1,M2} R(41360,35338) { midp( X, skol20
% 23.09/23.48 , skol23 ), ! midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent0: (72588) {G37,W8,D2,L2,V1,M2} { midp( X, skol20, skol23 ), ! midp
% 23.09/23.48 ( X, skol23, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72590) {G1,W8,D2,L2,V1,M2} { midp( X, skol23, skol20 ), !
% 23.09/23.48 midp( X, skol23, skol24 ) }.
% 23.09/23.48 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 parent1[0]: (49967) {G49,W8,D2,L2,V1,M2} R(41360,35338) { midp( X, skol20,
% 23.09/23.48 skol23 ), ! midp( X, skol23, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol20
% 23.09/23.48 Z := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (50161) {G50,W8,D2,L2,V1,M2} R(49967,10) { ! midp( X, skol23,
% 23.09/23.48 skol24 ), midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent0: (72590) {G1,W8,D2,L2,V1,M2} { midp( X, skol23, skol20 ), ! midp(
% 23.09/23.48 X, skol23, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 1
% 23.09/23.48 1 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72591) {G1,W8,D2,L2,V1,M2} { midp( X, skol23, skol20 ), !
% 23.09/23.48 midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent0[0]: (50161) {G50,W8,D2,L2,V1,M2} R(49967,10) { ! midp( X, skol23,
% 23.09/23.48 skol24 ), midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol24
% 23.09/23.48 Z := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (50241) {G51,W8,D2,L2,V1,M2} R(50161,10) { midp( X, skol23,
% 23.09/23.48 skol20 ), ! midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent0: (72591) {G1,W8,D2,L2,V1,M2} { midp( X, skol23, skol20 ), ! midp(
% 23.09/23.48 X, skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72592) {G50,W8,D2,L2,V1,M2} { midp( X, skol24, skol24 ), !
% 23.09/23.48 midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent0[0]: (40600) {G49,W8,D2,L2,V1,M2} R(40505,139) { ! midp( X, skol24,
% 23.09/23.48 skol23 ), midp( X, skol24, skol24 ) }.
% 23.09/23.48 parent1[1]: (49885) {G50,W8,D2,L2,V1,M2} R(49853,10) { ! midp( X, skol23,
% 23.09/23.48 skol20 ), midp( X, skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (50375) {G51,W8,D2,L2,V1,M2} R(40600,49885) { midp( X, skol24
% 23.09/23.48 , skol24 ), ! midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent0: (72592) {G50,W8,D2,L2,V1,M2} { midp( X, skol24, skol24 ), ! midp
% 23.09/23.48 ( X, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72593) {G40,W4,D2,L1,V0,M1} { midp( skol23, skol24, skol23 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[0]: (40538) {G49,W8,D2,L2,V1,M2} R(40504,64);r(40410) { ! midp( X,
% 23.09/23.48 skol24, skol24 ), midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent1[0]: (46376) {G39,W4,D2,L1,V0,M1} R(42547,32399) { midp( skol23,
% 23.09/23.48 skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (52127) {G50,W4,D2,L1,V0,M1} R(40538,46376) { midp( skol23,
% 23.09/23.48 skol24, skol23 ) }.
% 23.09/23.48 parent0: (72593) {G40,W4,D2,L1,V0,M1} { midp( skol23, skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72594) {G17,W4,D2,L1,V0,M1} { midp( skol20, skol24, skol23 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[0]: (40538) {G49,W8,D2,L2,V1,M2} R(40504,64);r(40410) { ! midp( X,
% 23.09/23.48 skol24, skol24 ), midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent1[0]: (28841) {G16,W4,D2,L1,V0,M1} R(28785,67);r(9262) { midp( skol20
% 23.09/23.48 , skol24, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (52146) {G50,W4,D2,L1,V0,M1} R(40538,28841) { midp( skol20,
% 23.09/23.48 skol24, skol23 ) }.
% 23.09/23.48 parent0: (72594) {G17,W4,D2,L1,V0,M1} { midp( skol20, skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72595) {G51,W4,D2,L1,V0,M1} { midp( skol23, skol23, skol20 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[1]: (50241) {G51,W8,D2,L2,V1,M2} R(50161,10) { midp( X, skol23,
% 23.09/23.48 skol20 ), ! midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent1[0]: (52127) {G50,W4,D2,L1,V0,M1} R(40538,46376) { midp( skol23,
% 23.09/23.48 skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (52166) {G52,W4,D2,L1,V0,M1} R(52127,50241) { midp( skol23,
% 23.09/23.48 skol23, skol20 ) }.
% 23.09/23.48 parent0: (72595) {G51,W4,D2,L1,V0,M1} { midp( skol23, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72596) {G51,W4,D2,L1,V0,M1} { midp( skol20, skol23, skol20 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[1]: (50241) {G51,W8,D2,L2,V1,M2} R(50161,10) { midp( X, skol23,
% 23.09/23.48 skol20 ), ! midp( X, skol24, skol23 ) }.
% 23.09/23.48 parent1[0]: (52146) {G50,W4,D2,L1,V0,M1} R(40538,28841) { midp( skol20,
% 23.09/23.48 skol24, skol23 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (52554) {G52,W4,D2,L1,V0,M1} R(52146,50241) { midp( skol20,
% 23.09/23.48 skol23, skol20 ) }.
% 23.09/23.48 parent0: (72596) {G51,W4,D2,L1,V0,M1} { midp( skol20, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72597) {G6,W5,D2,L1,V0,M1} { ! perp( skol23, skol22, skol22,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 parent0[1]: (1254) {G5,W9,D2,L2,V1,M2} R(52,514) { ! perp( skol23, skol22,
% 23.09/23.48 skol22, X ), ! midp( skol20, skol23, X ) }.
% 23.09/23.48 parent1[0]: (52554) {G52,W4,D2,L1,V0,M1} R(52146,50241) { midp( skol20,
% 23.09/23.48 skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (52684) {G53,W5,D2,L1,V0,M1} R(52554,1254) { ! perp( skol23,
% 23.09/23.48 skol22, skol22, skol20 ) }.
% 23.09/23.48 parent0: (72597) {G6,W5,D2,L1,V0,M1} { ! perp( skol23, skol22, skol22,
% 23.09/23.48 skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72598) {G1,W5,D2,L1,V0,M1} { ! perp( skol23, skol22, skol20,
% 23.09/23.48 skol22 ) }.
% 23.09/23.48 parent0[0]: (52684) {G53,W5,D2,L1,V0,M1} R(52554,1254) { ! perp( skol23,
% 23.09/23.48 skol22, skol22, skol20 ) }.
% 23.09/23.48 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.09/23.48 T, Z ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol22
% 23.09/23.48 Z := skol20
% 23.09/23.48 T := skol22
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (63149) {G54,W5,D2,L1,V0,M1} R(52684,6) { ! perp( skol23,
% 23.09/23.48 skol22, skol20, skol22 ) }.
% 23.09/23.48 parent0: (72598) {G1,W5,D2,L1,V0,M1} { ! perp( skol23, skol22, skol20,
% 23.09/23.48 skol22 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72599) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 23.09/23.48 parent0[0]: (1841) {G2,W9,D2,L2,V3,M2} F(1831) { ! midp( X, Y, Z ), para( Y
% 23.09/23.48 , Z, Z, Y ) }.
% 23.09/23.48 parent1[0]: (44007) {G29,W6,D3,L1,V2,M1} R(40027,10) { midp( skol7( X, Y )
% 23.09/23.48 , Y, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol7( X, Y )
% 23.09/23.48 Y := Y
% 23.09/23.48 Z := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (69443) {G30,W5,D2,L1,V2,M1} R(1841,44007) { para( X, Y, Y, X
% 23.09/23.48 ) }.
% 23.09/23.48 parent0: (72599) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := Y
% 23.09/23.48 Y := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72600) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 23.09/23.48 parent0[0]: (237) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 23.09/23.48 ( Z, T, Y, X ) }.
% 23.09/23.48 parent1[0]: (69443) {G30,W5,D2,L1,V2,M1} R(1841,44007) { para( X, Y, Y, X )
% 23.09/23.48 }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 Z := Y
% 23.09/23.48 T := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (69456) {G31,W5,D2,L1,V2,M1} R(69443,237) { para( X, Y, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 parent0: (72600) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := Y
% 23.09/23.48 Y := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72602) {G3,W12,D2,L3,V2,M3} { ! midp( X, X, Y ), midp( skol24
% 23.09/23.48 , X, skol24 ), ! midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent0[1]: (1844) {G2,W12,D2,L3,V4,M3} F(1828);r(163) { ! midp( X, X, Y )
% 23.09/23.48 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 23.09/23.48 parent1[0]: (50375) {G51,W8,D2,L2,V1,M2} R(40600,49885) { midp( X, skol24,
% 23.09/23.48 skol24 ), ! midp( X, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 Z := skol24
% 23.09/23.48 T := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (69508) {G52,W12,D2,L3,V2,M3} R(1844,50375) { ! midp( X, X, Y
% 23.09/23.48 ), midp( skol24, X, skol24 ), ! midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent0: (72602) {G3,W12,D2,L3,V2,M3} { ! midp( X, X, Y ), midp( skol24, X
% 23.09/23.48 , skol24 ), ! midp( X, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 1 ==> 1
% 23.09/23.48 2 ==> 2
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 factor: (72605) {G52,W8,D2,L2,V0,M2} { ! midp( skol23, skol23, skol20 ),
% 23.09/23.48 midp( skol24, skol23, skol24 ) }.
% 23.09/23.48 parent0[0, 2]: (69508) {G52,W12,D2,L3,V2,M3} R(1844,50375) { ! midp( X, X,
% 23.09/23.48 Y ), midp( skol24, X, skol24 ), ! midp( X, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol20
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72606) {G53,W4,D2,L1,V0,M1} { midp( skol24, skol23, skol24 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[0]: (72605) {G52,W8,D2,L2,V0,M2} { ! midp( skol23, skol23, skol20
% 23.09/23.48 ), midp( skol24, skol23, skol24 ) }.
% 23.09/23.48 parent1[0]: (52166) {G52,W4,D2,L1,V0,M1} R(52127,50241) { midp( skol23,
% 23.09/23.48 skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (69694) {G53,W4,D2,L1,V0,M1} F(69508);r(52166) { midp( skol24
% 23.09/23.48 , skol23, skol24 ) }.
% 23.09/23.48 parent0: (72606) {G53,W4,D2,L1,V0,M1} { midp( skol24, skol23, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72607) {G51,W4,D2,L1,V0,M1} { midp( skol24, skol23, skol20 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[0]: (50161) {G50,W8,D2,L2,V1,M2} R(49967,10) { ! midp( X, skol23,
% 23.09/23.48 skol24 ), midp( X, skol23, skol20 ) }.
% 23.09/23.48 parent1[0]: (69694) {G53,W4,D2,L1,V0,M1} F(69508);r(52166) { midp( skol24,
% 23.09/23.48 skol23, skol24 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol24
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (69721) {G54,W4,D2,L1,V0,M1} R(69694,50161) { midp( skol24,
% 23.09/23.48 skol23, skol20 ) }.
% 23.09/23.48 parent0: (72607) {G51,W4,D2,L1,V0,M1} { midp( skol24, skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72608) {G30,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol20 )
% 23.09/23.48 }.
% 23.09/23.48 parent0[0]: (38856) {G29,W8,D2,L2,V1,M2} R(38837,10) { ! midp( skol24,
% 23.09/23.48 skol23, X ), midp( skol26, skol20, X ) }.
% 23.09/23.48 parent1[0]: (69721) {G54,W4,D2,L1,V0,M1} R(69694,50161) { midp( skol24,
% 23.09/23.48 skol23, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol20
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (70026) {G55,W4,D2,L1,V0,M1} R(69721,38856) { midp( skol26,
% 23.09/23.48 skol20, skol20 ) }.
% 23.09/23.48 parent0: (72608) {G30,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72609) {G2,W9,D2,L2,V1,M2} { ! para( skol20, X, skol20, X ),
% 23.09/23.48 midp( skol26, X, X ) }.
% 23.09/23.48 parent0[0]: (139) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 23.09/23.48 , T, Z, T ), midp( X, T, T ) }.
% 23.09/23.48 parent1[0]: (70026) {G55,W4,D2,L1,V0,M1} R(69721,38856) { midp( skol26,
% 23.09/23.48 skol20, skol20 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := skol20
% 23.09/23.48 Z := skol20
% 23.09/23.48 T := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72610) {G3,W4,D2,L1,V1,M1} { midp( skol26, X, X ) }.
% 23.09/23.48 parent0[0]: (72609) {G2,W9,D2,L2,V1,M2} { ! para( skol20, X, skol20, X ),
% 23.09/23.48 midp( skol26, X, X ) }.
% 23.09/23.48 parent1[0]: (69456) {G31,W5,D2,L1,V2,M1} R(69443,237) { para( X, Y, X, Y )
% 23.09/23.48 }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := skol20
% 23.09/23.48 Y := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (70113) {G56,W4,D2,L1,V1,M1} R(70026,139);r(69456) { midp(
% 23.09/23.48 skol26, X, X ) }.
% 23.09/23.48 parent0: (72610) {G3,W4,D2,L1,V1,M1} { midp( skol26, X, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72611) {G1,W5,D2,L1,V1,M1} { cong( skol26, X, skol26, X ) }.
% 23.09/23.48 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 23.09/23.48 Z ) }.
% 23.09/23.48 parent1[0]: (70113) {G56,W4,D2,L1,V1,M1} R(70026,139);r(69456) { midp(
% 23.09/23.48 skol26, X, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := X
% 23.09/23.48 Z := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (70179) {G57,W5,D2,L1,V1,M1} R(70113,68) { cong( skol26, X,
% 23.09/23.48 skol26, X ) }.
% 23.09/23.48 parent0: (72611) {G1,W5,D2,L1,V1,M1} { cong( skol26, X, skol26, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72612) {G2,W10,D2,L2,V2,M2} { ! cong( skol26, Y, skol26, Y )
% 23.09/23.48 , perp( X, Y, skol26, skol26 ) }.
% 23.09/23.48 parent0[0]: (1589) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 23.09/23.48 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 23.09/23.48 parent1[0]: (70179) {G57,W5,D2,L1,V1,M1} R(70113,68) { cong( skol26, X,
% 23.09/23.48 skol26, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := X
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := Y
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72614) {G3,W5,D2,L1,V2,M1} { perp( Y, X, skol26, skol26 ) }.
% 23.09/23.48 parent0[0]: (72612) {G2,W10,D2,L2,V2,M2} { ! cong( skol26, Y, skol26, Y )
% 23.09/23.48 , perp( X, Y, skol26, skol26 ) }.
% 23.09/23.48 parent1[0]: (70179) {G57,W5,D2,L1,V1,M1} R(70113,68) { cong( skol26, X,
% 23.09/23.48 skol26, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := Y
% 23.09/23.48 Y := X
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (71317) {G58,W5,D2,L1,V2,M1} R(70179,1589);r(70179) { perp( Y
% 23.09/23.48 , X, skol26, skol26 ) }.
% 23.09/23.48 parent0: (72614) {G3,W5,D2,L1,V2,M1} { perp( Y, X, skol26, skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72615) {G3,W10,D2,L2,V3,M2} { ! cong( skol26, X, skol26, X )
% 23.09/23.48 , para( Y, Z, X, X ) }.
% 23.09/23.48 parent0[1]: (1591) {G2,W15,D2,L3,V5,M3} F(1588) { ! cong( X, Y, Z, Y ), !
% 23.09/23.48 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 23.09/23.48 parent1[0]: (71317) {G58,W5,D2,L1,V2,M1} R(70179,1589);r(70179) { perp( Y,
% 23.09/23.48 X, skol26, skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := X
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := Y
% 23.09/23.48 U := Z
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := Z
% 23.09/23.48 Y := Y
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72616) {G4,W5,D2,L1,V3,M1} { para( Y, Z, X, X ) }.
% 23.09/23.48 parent0[0]: (72615) {G3,W10,D2,L2,V3,M2} { ! cong( skol26, X, skol26, X )
% 23.09/23.48 , para( Y, Z, X, X ) }.
% 23.09/23.48 parent1[0]: (70179) {G57,W5,D2,L1,V1,M1} R(70113,68) { cong( skol26, X,
% 23.09/23.48 skol26, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 Z := Z
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := X
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (71361) {G59,W5,D2,L1,V3,M1} R(71317,1591);r(70179) { para( Y
% 23.09/23.48 , Z, X, X ) }.
% 23.09/23.48 parent0: (72616) {G4,W5,D2,L1,V3,M1} { para( Y, Z, X, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 Z := Z
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72617) {G2,W10,D2,L2,V4,M2} { ! para( X, Y, skol26, skol26 )
% 23.09/23.48 , perp( X, Y, Z, T ) }.
% 23.09/23.48 parent0[2]: (307) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 23.09/23.48 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 23.09/23.48 parent1[0]: (71317) {G58,W5,D2,L1,V2,M1} R(70179,1589);r(70179) { perp( Y,
% 23.09/23.48 X, skol26, skol26 ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 Z := skol26
% 23.09/23.48 T := skol26
% 23.09/23.48 U := Z
% 23.09/23.48 W := T
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := T
% 23.09/23.48 Y := Z
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72618) {G3,W5,D2,L1,V4,M1} { perp( X, Y, Z, T ) }.
% 23.09/23.48 parent0[0]: (72617) {G2,W10,D2,L2,V4,M2} { ! para( X, Y, skol26, skol26 )
% 23.09/23.48 , perp( X, Y, Z, T ) }.
% 23.09/23.48 parent1[0]: (71361) {G59,W5,D2,L1,V3,M1} R(71317,1591);r(70179) { para( Y,
% 23.09/23.48 Z, X, X ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 Z := Z
% 23.09/23.48 T := T
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := skol26
% 23.09/23.48 Y := X
% 23.09/23.48 Z := Y
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (71382) {G60,W5,D2,L1,V4,M1} R(71317,307);r(71361) { perp( X,
% 23.09/23.48 Y, Z, T ) }.
% 23.09/23.48 parent0: (72618) {G3,W5,D2,L1,V4,M1} { perp( X, Y, Z, T ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 X := X
% 23.09/23.48 Y := Y
% 23.09/23.48 Z := Z
% 23.09/23.48 T := T
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 0 ==> 0
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 resolution: (72619) {G55,W0,D0,L0,V0,M0} { }.
% 23.09/23.48 parent0[0]: (63149) {G54,W5,D2,L1,V0,M1} R(52684,6) { ! perp( skol23,
% 23.09/23.48 skol22, skol20, skol22 ) }.
% 23.09/23.48 parent1[0]: (71382) {G60,W5,D2,L1,V4,M1} R(71317,307);r(71361) { perp( X, Y
% 23.09/23.48 , Z, T ) }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 substitution1:
% 23.09/23.48 X := skol23
% 23.09/23.48 Y := skol22
% 23.09/23.48 Z := skol20
% 23.09/23.48 T := skol22
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 subsumption: (71405) {G61,W0,D0,L0,V0,M0} R(71382,63149) { }.
% 23.09/23.48 parent0: (72619) {G55,W0,D0,L0,V0,M0} { }.
% 23.09/23.48 substitution0:
% 23.09/23.48 end
% 23.09/23.48 permutation0:
% 23.09/23.48 end
% 23.09/23.48
% 23.09/23.48 Proof check complete!
% 23.09/23.48
% 23.09/23.48 Memory use:
% 23.09/23.48
% 23.09/23.48 space for terms: 1020736
% 23.09/23.48 space for clauses: 3278248
% 23.09/23.48
% 23.09/23.48
% 23.09/23.48 clauses generated: 484505
% 23.09/23.48 clauses kept: 71406
% 23.09/23.48 clauses selected: 3824
% 23.09/23.48 clauses deleted: 27361
% 23.09/23.48 clauses inuse deleted: 1629
% 23.09/23.48
% 23.09/23.48 subsentry: 13779330
% 23.09/23.48 literals s-matched: 8918850
% 23.09/23.48 literals matched: 4816720
% 23.09/23.48 full subsumption: 1873792
% 23.09/23.48
% 23.09/23.48 checksum: -1464748340
% 23.09/23.48
% 23.09/23.48
% 23.09/23.48 Bliksem ended
%------------------------------------------------------------------------------