TSTP Solution File: GEO557+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO557+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 02:54:42 EDT 2022
% Result : Theorem 13.14s 13.53s
% Output : Refutation 13.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO557+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 11:10:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 *** allocated 15000 integers for termspace/termends
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13
% 0.72/1.13 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.72/1.13 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.72/1.13 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.72/1.13 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.72/1.13 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.72/1.13 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.13 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.72/1.13 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.72/1.13 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.13 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.72/1.13 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.72/1.13 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.72/1.13 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.72/1.13 ( X, Y, Z, T ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.72/1.13 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.72/1.13 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.13 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.72/1.13 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.72/1.13 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.72/1.13 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.13 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.72/1.13 ( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.72/1.13 ( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.72/1.13 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.72/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.72/1.13 T ) }.
% 0.72/1.13 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.72/1.13 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.72/1.13 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.72/1.13 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.72/1.13 ) }.
% 0.72/1.13 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.72/1.13 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.72/1.13 }.
% 0.72/1.13 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.72/1.13 Z, Y ) }.
% 0.72/1.13 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.72/1.13 X, Z ) }.
% 0.72/1.13 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.72/1.13 U ) }.
% 0.72/1.13 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.72/1.13 , Z ), midp( Z, X, Y ) }.
% 0.72/1.13 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.72/1.13 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.72/1.13 Z, Y ) }.
% 0.72/1.13 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.72/1.13 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.72/1.13 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.72/1.13 ( Y, X, X, Z ) }.
% 0.72/1.13 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.72/1.13 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.72/1.13 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.72/1.13 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.72/1.13 , W ) }.
% 0.72/1.13 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.72/1.13 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.72/1.13 , Y ) }.
% 0.72/1.13 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.72/1.13 , X, Z, U, Y, Y, T ) }.
% 0.72/1.13 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.72/1.13 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.72/1.13 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.72/1.13 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.72/1.13 .
% 0.72/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.72/1.13 , Z, T ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.72/1.13 , Z, T ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.72/1.13 , Z, T ) }.
% 0.72/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.72/1.13 , W, Z, T ), Z, T ) }.
% 0.72/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.72/1.13 , Y, Z, T ), X, Y ) }.
% 0.72/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.72/1.13 , W, Z, T ), Z, T ) }.
% 0.72/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.13 skol2( X, Y, Z, T ) ) }.
% 0.72/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.72/1.13 , W, Z, T ), Z, T ) }.
% 0.72/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.13 skol3( X, Y, Z, T ) ) }.
% 0.72/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.72/1.13 , T ) }.
% 0.72/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.72/1.13 ) ) }.
% 0.72/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.72/1.13 skol5( W, Y, Z, T ) ) }.
% 0.72/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.72/1.13 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.72/1.13 , X, T ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.72/1.13 W, X, Z ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.72/1.13 , Y, T ) }.
% 0.72/1.13 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.72/1.13 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.72/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.13 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.72/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.13 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.72/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.72/1.13 Z, T ) ) }.
% 0.72/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.72/1.13 , T ) ) }.
% 0.72/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.72/1.13 , X, Y ) }.
% 0.72/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.72/1.13 ) }.
% 0.72/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.72/1.13 , Y ) }.
% 0.72/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.13 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.72/1.13 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.72/1.13 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.72/1.13 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.28/4.65 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.28/4.65 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.28/4.65 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.28/4.65 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.28/4.65 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.28/4.65 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.28/4.65 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.28/4.65 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.28/4.65 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.28/4.65 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.28/4.65 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.28/4.65 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.28/4.65 X, Y, Z ) }.
% 4.28/4.65 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.28/4.65 }.
% 4.28/4.65 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.28/4.65 ) }.
% 4.28/4.65 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.28/4.65 skol17( X, Y ), X, Y ) }.
% 4.28/4.65 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.28/4.65 }.
% 4.28/4.65 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.28/4.65 ) }.
% 4.28/4.65 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.28/4.65 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.28/4.65 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.28/4.65 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.28/4.65 { circle( skol23, skol25, skol20, skol22 ) }.
% 4.28/4.65 { circle( skol23, skol25, skol26, skol27 ) }.
% 4.28/4.65 { coll( skol28, skol25, skol22 ) }.
% 4.28/4.65 { coll( skol28, skol20, skol26 ) }.
% 4.28/4.65 { circle( skol29, skol25, skol20, skol28 ) }.
% 4.28/4.65 { circle( skol30, skol22, skol26, skol28 ) }.
% 4.28/4.65 { circle( skol29, skol25, skol24, skol31 ) }.
% 4.28/4.65 { circle( skol30, skol22, skol24, skol32 ) }.
% 4.28/4.65 { ! cyclic( skol24, skol22, skol23, skol20 ) }.
% 4.28/4.65
% 4.28/4.65 percentage equality = 0.008746, percentage horn = 0.928000
% 4.28/4.65 This is a problem with some equality
% 4.28/4.65
% 4.28/4.65
% 4.28/4.65
% 4.28/4.65 Options Used:
% 4.28/4.65
% 4.28/4.65 useres = 1
% 4.28/4.65 useparamod = 1
% 4.28/4.65 useeqrefl = 1
% 4.28/4.65 useeqfact = 1
% 4.28/4.65 usefactor = 1
% 4.28/4.65 usesimpsplitting = 0
% 4.28/4.65 usesimpdemod = 5
% 4.28/4.65 usesimpres = 3
% 4.28/4.65
% 4.28/4.65 resimpinuse = 1000
% 4.28/4.65 resimpclauses = 20000
% 4.28/4.65 substype = eqrewr
% 4.28/4.65 backwardsubs = 1
% 4.28/4.65 selectoldest = 5
% 4.28/4.65
% 4.28/4.65 litorderings [0] = split
% 4.28/4.65 litorderings [1] = extend the termordering, first sorting on arguments
% 4.28/4.65
% 4.28/4.65 termordering = kbo
% 4.28/4.65
% 4.28/4.65 litapriori = 0
% 4.28/4.65 termapriori = 1
% 4.28/4.65 litaposteriori = 0
% 4.28/4.65 termaposteriori = 0
% 4.28/4.65 demodaposteriori = 0
% 4.28/4.65 ordereqreflfact = 0
% 4.28/4.65
% 4.28/4.65 litselect = negord
% 4.28/4.65
% 4.28/4.65 maxweight = 15
% 4.28/4.65 maxdepth = 30000
% 4.28/4.65 maxlength = 115
% 4.28/4.65 maxnrvars = 195
% 4.28/4.65 excuselevel = 1
% 4.28/4.65 increasemaxweight = 1
% 4.28/4.65
% 4.28/4.65 maxselected = 10000000
% 4.28/4.65 maxnrclauses = 10000000
% 4.28/4.65
% 4.28/4.65 showgenerated = 0
% 4.28/4.65 showkept = 0
% 4.28/4.65 showselected = 0
% 4.28/4.65 showdeleted = 0
% 4.28/4.65 showresimp = 1
% 4.28/4.65 showstatus = 2000
% 4.28/4.65
% 4.28/4.65 prologoutput = 0
% 4.28/4.65 nrgoals = 5000000
% 4.28/4.65 totalproof = 1
% 4.28/4.65
% 4.28/4.65 Symbols occurring in the translation:
% 4.28/4.65
% 4.28/4.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.28/4.65 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 4.28/4.65 ! [4, 1] (w:0, o:41, a:1, s:1, b:0),
% 4.28/4.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.28/4.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.28/4.65 coll [38, 3] (w:1, o:74, a:1, s:1, b:0),
% 4.28/4.65 para [40, 4] (w:1, o:82, a:1, s:1, b:0),
% 4.28/4.65 perp [43, 4] (w:1, o:83, a:1, s:1, b:0),
% 4.28/4.65 midp [45, 3] (w:1, o:75, a:1, s:1, b:0),
% 4.28/4.65 cong [47, 4] (w:1, o:84, a:1, s:1, b:0),
% 4.28/4.65 circle [48, 4] (w:1, o:85, a:1, s:1, b:0),
% 4.28/4.65 cyclic [49, 4] (w:1, o:86, a:1, s:1, b:0),
% 4.28/4.65 eqangle [54, 8] (w:1, o:101, a:1, s:1, b:0),
% 4.28/4.65 eqratio [57, 8] (w:1, o:102, a:1, s:1, b:0),
% 4.28/4.65 simtri [59, 6] (w:1, o:98, a:1, s:1, b:0),
% 4.28/4.65 contri [60, 6] (w:1, o:99, a:1, s:1, b:0),
% 4.28/4.65 alpha1 [69, 3] (w:1, o:76, a:1, s:1, b:1),
% 4.28/4.65 alpha2 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.28/4.65 skol1 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.28/4.65 skol2 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 4.28/4.65 skol3 [73, 4] (w:1, o:92, a:1, s:1, b:1),
% 4.28/4.65 skol4 [74, 4] (w:1, o:93, a:1, s:1, b:1),
% 4.28/4.65 skol5 [75, 4] (w:1, o:94, a:1, s:1, b:1),
% 4.28/4.65 skol6 [76, 6] (w:1, o:100, a:1, s:1, b:1),
% 13.14/13.53 skol7 [77, 2] (w:1, o:70, a:1, s:1, b:1),
% 13.14/13.53 skol8 [78, 4] (w:1, o:95, a:1, s:1, b:1),
% 13.14/13.53 skol9 [79, 4] (w:1, o:96, a:1, s:1, b:1),
% 13.14/13.53 skol10 [80, 3] (w:1, o:77, a:1, s:1, b:1),
% 13.14/13.53 skol11 [81, 3] (w:1, o:78, a:1, s:1, b:1),
% 13.14/13.53 skol12 [82, 2] (w:1, o:71, a:1, s:1, b:1),
% 13.14/13.53 skol13 [83, 5] (w:1, o:97, a:1, s:1, b:1),
% 13.14/13.53 skol14 [84, 3] (w:1, o:79, a:1, s:1, b:1),
% 13.14/13.53 skol15 [85, 3] (w:1, o:80, a:1, s:1, b:1),
% 13.14/13.53 skol16 [86, 3] (w:1, o:81, a:1, s:1, b:1),
% 13.14/13.53 skol17 [87, 2] (w:1, o:72, a:1, s:1, b:1),
% 13.14/13.53 skol18 [88, 2] (w:1, o:73, a:1, s:1, b:1),
% 13.14/13.53 skol19 [89, 4] (w:1, o:89, a:1, s:1, b:1),
% 13.14/13.53 skol20 [90, 0] (w:1, o:29, a:1, s:1, b:1),
% 13.14/13.53 skol21 [91, 4] (w:1, o:91, a:1, s:1, b:1),
% 13.14/13.53 skol22 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 13.14/13.53 skol23 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 13.14/13.53 skol24 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 13.14/13.53 skol25 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 13.14/13.53 skol26 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 13.14/13.53 skol27 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 13.14/13.53 skol28 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 13.14/13.53 skol29 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 13.14/13.53 skol30 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 13.14/13.53 skol31 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 13.14/13.53 skol32 [102, 0] (w:1, o:40, a:1, s:1, b:1).
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Starting Search:
% 13.14/13.53
% 13.14/13.53 *** allocated 15000 integers for clauses
% 13.14/13.53 *** allocated 22500 integers for clauses
% 13.14/13.53 *** allocated 33750 integers for clauses
% 13.14/13.53 *** allocated 22500 integers for termspace/termends
% 13.14/13.53 *** allocated 50625 integers for clauses
% 13.14/13.53 *** allocated 75937 integers for clauses
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 33750 integers for termspace/termends
% 13.14/13.53 *** allocated 113905 integers for clauses
% 13.14/13.53 *** allocated 50625 integers for termspace/termends
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 19165
% 13.14/13.53 Kept: 2026
% 13.14/13.53 Inuse: 336
% 13.14/13.53 Deleted: 1
% 13.14/13.53 Deletedinuse: 1
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 170857 integers for clauses
% 13.14/13.53 *** allocated 75937 integers for termspace/termends
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 113905 integers for termspace/termends
% 13.14/13.53 *** allocated 256285 integers for clauses
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 41808
% 13.14/13.53 Kept: 4113
% 13.14/13.53 Inuse: 469
% 13.14/13.53 Deleted: 19
% 13.14/13.53 Deletedinuse: 2
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 170857 integers for termspace/termends
% 13.14/13.53 *** allocated 384427 integers for clauses
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 54236
% 13.14/13.53 Kept: 6219
% 13.14/13.53 Inuse: 534
% 13.14/13.53 Deleted: 19
% 13.14/13.53 Deletedinuse: 2
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 576640 integers for clauses
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 75221
% 13.14/13.53 Kept: 8220
% 13.14/13.53 Inuse: 720
% 13.14/13.53 Deleted: 22
% 13.14/13.53 Deletedinuse: 3
% 13.14/13.53
% 13.14/13.53 *** allocated 256285 integers for termspace/termends
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 94551
% 13.14/13.53 Kept: 10254
% 13.14/13.53 Inuse: 808
% 13.14/13.53 Deleted: 31
% 13.14/13.53 Deletedinuse: 8
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 103566
% 13.14/13.53 Kept: 12262
% 13.14/13.53 Inuse: 852
% 13.14/13.53 Deleted: 32
% 13.14/13.53 Deletedinuse: 9
% 13.14/13.53
% 13.14/13.53 *** allocated 864960 integers for clauses
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 122343
% 13.14/13.53 Kept: 14283
% 13.14/13.53 Inuse: 995
% 13.14/13.53 Deleted: 52
% 13.14/13.53 Deletedinuse: 15
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 384427 integers for termspace/termends
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 136431
% 13.14/13.53 Kept: 16299
% 13.14/13.53 Inuse: 1106
% 13.14/13.53 Deleted: 70
% 13.14/13.53 Deletedinuse: 27
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 150880
% 13.14/13.53 Kept: 18310
% 13.14/13.53 Inuse: 1218
% 13.14/13.53 Deleted: 90
% 13.14/13.53 Deletedinuse: 39
% 13.14/13.53
% 13.14/13.53 *** allocated 1297440 integers for clauses
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying clauses:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 166017
% 13.14/13.53 Kept: 20335
% 13.14/13.53 Inuse: 1374
% 13.14/13.53 Deleted: 1992
% 13.14/13.53 Deletedinuse: 41
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 185829
% 13.14/13.53 Kept: 23620
% 13.14/13.53 Inuse: 1559
% 13.14/13.53 Deleted: 1993
% 13.14/13.53 Deletedinuse: 41
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 576640 integers for termspace/termends
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 195666
% 13.14/13.53 Kept: 25743
% 13.14/13.53 Inuse: 1609
% 13.14/13.53 Deleted: 1993
% 13.14/13.53 Deletedinuse: 41
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 203840
% 13.14/13.53 Kept: 27744
% 13.14/13.53 Inuse: 1626
% 13.14/13.53 Deleted: 1995
% 13.14/13.53 Deletedinuse: 43
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 1946160 integers for clauses
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 225590
% 13.14/13.53 Kept: 31243
% 13.14/13.53 Inuse: 1712
% 13.14/13.53 Deleted: 2008
% 13.14/13.53 Deletedinuse: 54
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 239063
% 13.14/13.53 Kept: 33789
% 13.14/13.53 Inuse: 1817
% 13.14/13.53 Deleted: 2013
% 13.14/13.53 Deletedinuse: 54
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 248003
% 13.14/13.53 Kept: 35880
% 13.14/13.53 Inuse: 1878
% 13.14/13.53 Deleted: 2018
% 13.14/13.53 Deletedinuse: 55
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 261371
% 13.14/13.53 Kept: 37890
% 13.14/13.53 Inuse: 2008
% 13.14/13.53 Deleted: 2033
% 13.14/13.53 Deletedinuse: 63
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 281508
% 13.14/13.53 Kept: 39898
% 13.14/13.53 Inuse: 2184
% 13.14/13.53 Deleted: 2046
% 13.14/13.53 Deletedinuse: 66
% 13.14/13.53
% 13.14/13.53 Resimplifying clauses:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 864960 integers for termspace/termends
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 302177
% 13.14/13.53 Kept: 41913
% 13.14/13.53 Inuse: 2358
% 13.14/13.53 Deleted: 6063
% 13.14/13.53 Deletedinuse: 70
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 325660
% 13.14/13.53 Kept: 43926
% 13.14/13.53 Inuse: 2500
% 13.14/13.53 Deleted: 6080
% 13.14/13.53 Deletedinuse: 78
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53 *** allocated 2919240 integers for clauses
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Intermediate Status:
% 13.14/13.53 Generated: 355290
% 13.14/13.53 Kept: 46074
% 13.14/13.53 Inuse: 2614
% 13.14/13.53 Deleted: 6101
% 13.14/13.53 Deletedinuse: 86
% 13.14/13.53
% 13.14/13.53 Resimplifying inuse:
% 13.14/13.53 Done
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Bliksems!, er is een bewijs:
% 13.14/13.53 % SZS status Theorem
% 13.14/13.53 % SZS output start Refutation
% 13.14/13.53
% 13.14/13.53 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 13.14/13.53 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 13.14/13.53 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 13.14/13.53 , Z, X ) }.
% 13.14/13.53 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 13.14/13.53 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 13.14/13.53 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 13.14/13.53 para( X, Y, Z, T ) }.
% 13.14/13.53 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 13.14/13.53 }.
% 13.14/13.53 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 13.14/13.53 }.
% 13.14/13.53 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 13.14/13.53 }.
% 13.14/13.53 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 13.14/13.53 ), cyclic( X, Y, Z, T ) }.
% 13.14/13.53 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 13.14/13.53 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 13.14/13.53 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 13.14/13.53 , T, U, W ) }.
% 13.14/13.53 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 13.14/13.53 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 13.14/13.53 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 13.14/13.53 perp( X, Y, Y, Z ) }.
% 13.14/13.53 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 13.14/13.53 alpha1( X, Y, Z ) }.
% 13.14/13.53 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 13.14/13.53 , Z, X ) }.
% 13.14/13.53 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 13.14/13.53 , X, X, Y ) }.
% 13.14/13.53 (118) {G0,W4,D2,L1,V0,M1} I { coll( skol28, skol25, skol22 ) }.
% 13.14/13.53 (119) {G0,W4,D2,L1,V0,M1} I { coll( skol28, skol20, skol26 ) }.
% 13.14/13.53 (121) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol22, skol26, skol28 ) }.
% 13.14/13.53 (124) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol24, skol22, skol23, skol20 )
% 13.14/13.53 }.
% 13.14/13.53 (125) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 13.14/13.53 (162) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol28, skol22, skol25 ) }.
% 13.14/13.53 (163) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol28, skol26, skol20 ) }.
% 13.14/13.53 (164) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol26, skol28, skol20 ) }.
% 13.14/13.53 (165) {G2,W4,D2,L1,V0,M1} R(1,162) { coll( skol22, skol28, skol25 ) }.
% 13.14/13.53 (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 13.14/13.53 (170) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol26, skol20, skol28 ) }.
% 13.14/13.53 (172) {G3,W4,D2,L1,V0,M1} R(165,0) { coll( skol22, skol25, skol28 ) }.
% 13.14/13.53 (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 13.14/13.53 coll( Z, X, T ) }.
% 13.14/13.53 (193) {G1,W8,D2,L2,V1,M2} R(2,118) { ! coll( skol28, skol25, X ), coll( X,
% 13.14/13.53 skol22, skol28 ) }.
% 13.14/13.53 (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 13.14/13.53 (201) {G4,W4,D2,L1,V0,M1} R(172,1) { coll( skol25, skol22, skol28 ) }.
% 13.14/13.53 (211) {G5,W4,D2,L1,V0,M1} R(196,201) { coll( skol28, skol25, skol28 ) }.
% 13.14/13.53 (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 13.14/13.53 coll( X, Z, T ) }.
% 13.14/13.53 (217) {G4,W4,D2,L1,V0,M1} R(196,170) { coll( skol28, skol26, skol28 ) }.
% 13.14/13.53 (224) {G3,W4,D2,L1,V0,M1} R(196,118) { coll( skol22, skol28, skol22 ) }.
% 13.14/13.53 (225) {G3,W4,D2,L1,V0,M1} R(196,119) { coll( skol26, skol28, skol26 ) }.
% 13.14/13.53 (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 13.14/13.53 (254) {G6,W4,D2,L1,V0,M1} R(211,0) { coll( skol28, skol28, skol25 ) }.
% 13.14/13.53 (256) {G7,W8,D2,L2,V1,M2} R(254,2) { ! coll( skol28, skol28, X ), coll(
% 13.14/13.53 skol25, X, skol28 ) }.
% 13.14/13.53 (271) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 13.14/13.53 ), ! perp( U, W, Z, T ) }.
% 13.14/13.53 (279) {G2,W10,D2,L2,V4,M2} F(271) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 13.14/13.53 ) }.
% 13.14/13.53 (300) {G5,W4,D2,L1,V0,M1} R(217,0) { coll( skol28, skol28, skol26 ) }.
% 13.14/13.53 (326) {G4,W4,D2,L1,V0,M1} R(224,0) { coll( skol22, skol22, skol28 ) }.
% 13.14/13.53 (329) {G5,W8,D2,L2,V1,M2} R(326,2) { ! coll( skol22, skol22, X ), coll(
% 13.14/13.53 skol28, X, skol22 ) }.
% 13.14/13.53 (333) {G4,W4,D2,L1,V0,M1} R(225,0) { coll( skol26, skol26, skol28 ) }.
% 13.14/13.53 (335) {G5,W8,D2,L2,V1,M2} R(333,2) { ! coll( skol26, skol26, X ), coll(
% 13.14/13.53 skol28, X, skol26 ) }.
% 13.14/13.53 (338) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 13.14/13.53 , T, Y ) }.
% 13.14/13.53 (339) {G1,W5,D2,L1,V0,M1} R(14,124) { ! cyclic( skol24, skol23, skol22,
% 13.14/13.53 skol20 ) }.
% 13.14/13.53 (340) {G2,W5,D2,L1,V0,M1} R(339,13) { ! cyclic( skol24, skol23, skol20,
% 13.14/13.53 skol22 ) }.
% 13.14/13.53 (341) {G3,W5,D2,L1,V0,M1} R(340,14) { ! cyclic( skol24, skol20, skol23,
% 13.14/13.53 skol22 ) }.
% 13.14/13.53 (342) {G4,W5,D2,L1,V0,M1} R(341,13) { ! cyclic( skol24, skol20, skol22,
% 13.14/13.53 skol23 ) }.
% 13.14/13.53 (343) {G5,W5,D2,L1,V0,M1} R(15,342) { ! cyclic( skol20, skol24, skol22,
% 13.14/13.53 skol23 ) }.
% 13.14/13.53 (347) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 13.14/13.53 , X, T ) }.
% 13.14/13.53 (349) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 13.14/13.53 , T, Z ) }.
% 13.14/13.53 (356) {G6,W5,D2,L1,V0,M1} R(343,14) { ! cyclic( skol20, skol22, skol24,
% 13.14/13.53 skol23 ) }.
% 13.14/13.53 (358) {G7,W5,D2,L1,V0,M1} R(356,15) { ! cyclic( skol22, skol20, skol24,
% 13.14/13.53 skol23 ) }.
% 13.14/13.53 (361) {G8,W5,D2,L1,V0,M1} R(358,13) { ! cyclic( skol22, skol20, skol23,
% 13.14/13.53 skol24 ) }.
% 13.14/13.53 (371) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 13.14/13.53 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 13.14/13.53 (378) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 13.14/13.53 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 13.14/13.53 (383) {G2,W10,D2,L2,V4,M2} F(371) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 13.14/13.53 , T ) }.
% 13.14/13.53 (386) {G9,W5,D2,L1,V0,M1} R(361,14) { ! cyclic( skol22, skol23, skol20,
% 13.14/13.53 skol24 ) }.
% 13.14/13.53 (387) {G10,W10,D2,L2,V1,M2} R(386,16) { ! cyclic( X, skol22, skol23, skol20
% 13.14/13.53 ), ! cyclic( X, skol22, skol23, skol24 ) }.
% 13.14/13.53 (412) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 13.14/13.53 (417) {G6,W8,D2,L2,V3,M2} R(412,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 13.14/13.53 (418) {G6,W8,D2,L2,V3,M2} R(412,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 13.14/13.53 (434) {G7,W8,D2,L2,V3,M2} R(418,418) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 13.14/13.53 }.
% 13.14/13.53 (437) {G8,W12,D2,L3,V4,M3} R(434,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 13.14/13.53 , coll( T, Y, X ) }.
% 13.14/13.53 (438) {G9,W8,D2,L2,V3,M2} F(437) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 13.14/13.53 (447) {G10,W8,D2,L2,V3,M2} R(438,434) { coll( X, X, Y ), ! coll( Y, X, Z )
% 13.14/13.53 }.
% 13.14/13.53 (589) {G11,W8,D2,L2,V2,M2} R(335,447) { coll( skol28, X, skol26 ), ! coll(
% 13.14/13.53 X, skol26, Y ) }.
% 13.14/13.53 (729) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 13.14/13.53 X, Y, U, W, Z, T ) }.
% 13.14/13.53 (811) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 13.14/13.53 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 13.14/13.53 (1455) {G1,W9,D2,L2,V0,M2} R(53,121) { ! coll( skol30, skol22, skol28 ),
% 13.14/13.53 perp( skol22, skol26, skol26, skol28 ) }.
% 13.14/13.53 (2987) {G6,W8,D2,L2,V2,M2} R(329,125) { coll( skol28, X, skol22 ), ! coll(
% 13.14/13.53 X, Y, skol22 ) }.
% 13.14/13.53 (3051) {G7,W8,D2,L2,V2,M2} R(2987,167) { ! coll( X, Y, skol22 ), coll( X,
% 13.14/13.53 skol22, skol28 ) }.
% 13.14/13.53 (3067) {G8,W8,D2,L2,V2,M2} R(3051,125) { coll( X, skol22, skol28 ), ! coll
% 13.14/13.53 ( skol22, Y, X ) }.
% 13.14/13.53 (4102) {G7,W8,D2,L2,V3,M2} R(97,417) { ! alpha1( X, Y, Z ), coll( X, Z, Z )
% 13.14/13.53 }.
% 13.14/13.53 (4589) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol22, skol30 ),
% 13.14/13.53 skol22, skol22, skol30 ) }.
% 13.14/13.53 (7536) {G2,W7,D3,L1,V0,M1} R(4589,7) { perp( skol22, skol30, skol12( skol22
% 13.14/13.53 , skol30 ), skol22 ) }.
% 13.14/13.53 (7547) {G3,W7,D3,L1,V0,M1} R(7536,6) { perp( skol22, skol30, skol22, skol12
% 13.14/13.53 ( skol22, skol30 ) ) }.
% 13.14/13.53 (7557) {G4,W7,D3,L1,V0,M1} R(7547,7) { perp( skol22, skol12( skol22, skol30
% 13.14/13.53 ), skol22, skol30 ) }.
% 13.14/13.53 (7842) {G5,W4,D2,L1,V0,M1} R(7557,96);r(7557) { alpha1( skol22, skol22,
% 13.14/13.53 skol30 ) }.
% 13.14/13.53 (7852) {G8,W4,D2,L1,V0,M1} R(7842,4102) { coll( skol22, skol30, skol30 )
% 13.14/13.53 }.
% 13.14/13.53 (7879) {G9,W4,D2,L1,V0,M1} R(7852,3067) { coll( skol30, skol22, skol28 )
% 13.14/13.53 }.
% 13.14/13.53 (14356) {G12,W4,D2,L1,V0,M1} R(256,589);r(300) { coll( skol28, skol25,
% 13.14/13.53 skol26 ) }.
% 13.14/13.53 (14415) {G13,W4,D2,L1,V0,M1} R(14356,193) { coll( skol26, skol22, skol28 )
% 13.14/13.53 }.
% 13.14/13.53 (14465) {G14,W4,D2,L1,V0,M1} R(14415,447) { coll( skol22, skol22, skol26 )
% 13.14/13.53 }.
% 13.14/13.53 (20005) {G10,W5,D2,L1,V0,M1} S(1455);r(7879) { perp( skol22, skol26, skol26
% 13.14/13.53 , skol28 ) }.
% 13.14/13.53 (20849) {G11,W5,D2,L1,V0,M1} R(20005,279) { para( skol22, skol26, skol22,
% 13.14/13.53 skol26 ) }.
% 13.14/13.53 (41118) {G12,W9,D2,L1,V2,M1} R(729,20849) { eqangle( X, Y, skol22, skol26,
% 13.14/13.53 X, Y, skol22, skol26 ) }.
% 13.14/13.53 (45933) {G15,W5,D2,L1,V1,M1} R(811,14465);r(41118) { cyclic( X, skol26,
% 13.14/13.53 skol22, skol22 ) }.
% 13.14/13.53 (46094) {G16,W5,D2,L1,V1,M1} R(45933,349) { cyclic( skol26, X, skol22,
% 13.14/13.53 skol22 ) }.
% 13.14/13.53 (46106) {G17,W5,D2,L1,V1,M1} R(46094,383) { cyclic( skol22, X, skol22,
% 13.14/13.53 skol22 ) }.
% 13.14/13.53 (46128) {G18,W5,D2,L1,V1,M1} R(46106,347) { cyclic( skol22, skol22, X,
% 13.14/13.53 skol22 ) }.
% 13.14/13.53 (46129) {G18,W5,D2,L1,V1,M1} R(46106,338) { cyclic( skol22, skol22, skol22
% 13.14/13.53 , X ) }.
% 13.14/13.53 (46134) {G19,W5,D2,L1,V2,M1} R(46128,378);r(46129) { cyclic( skol22, skol22
% 13.14/13.53 , X, Y ) }.
% 13.14/13.53 (46152) {G20,W0,D0,L0,V0,M0} R(46134,387);r(46134) { }.
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 % SZS output end Refutation
% 13.14/13.53 found a proof!
% 13.14/13.53
% 13.14/13.53
% 13.14/13.53 Unprocessed initial clauses:
% 13.14/13.53
% 13.14/13.53 (46154) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 13.14/13.53 (46155) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 13.14/13.53 (46156) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 13.14/13.53 ( Y, Z, X ) }.
% 13.14/13.53 (46157) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 13.14/13.53 }.
% 13.14/13.53 (46158) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 13.14/13.53 }.
% 13.14/13.53 (46159) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 13.14/13.53 , para( X, Y, Z, T ) }.
% 13.14/13.53 (46160) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 13.14/13.53 }.
% 13.14/13.53 (46161) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 13.14/13.53 }.
% 13.14/13.53 (46162) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 13.14/13.53 , para( X, Y, Z, T ) }.
% 13.14/13.53 (46163) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 13.14/13.53 , perp( X, Y, Z, T ) }.
% 13.14/13.53 (46164) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 13.14/13.53 (46165) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 13.14/13.53 , circle( T, X, Y, Z ) }.
% 13.14/13.53 (46166) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 13.14/13.53 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 13.14/13.53 (46167) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 13.14/13.53 ) }.
% 13.14/13.53 (46168) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 13.14/13.53 ) }.
% 13.14/13.53 (46169) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 13.14/13.53 ) }.
% 13.14/13.53 (46170) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 13.14/13.53 T ), cyclic( X, Y, Z, T ) }.
% 13.14/13.53 (46171) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 13.14/13.53 (46172) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 13.14/13.53 (46173) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 13.14/13.53 (46174) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 13.14/13.53 (46175) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 13.14/13.53 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 13.14/13.53 V1 ) }.
% 13.14/13.53 (46176) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 13.14/13.53 }.
% 13.14/13.53 (46177) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 13.14/13.53 }.
% 13.14/13.53 (46178) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 13.14/13.53 , cong( X, Y, Z, T ) }.
% 13.14/13.53 (46179) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 13.14/13.53 (46180) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 13.14/13.53 (46181) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 13.14/13.53 (46182) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 13.14/13.53 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 13.14/13.53 (46183) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 13.14/13.53 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 13.14/13.53 V1 ) }.
% 13.14/13.53 (46184) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 13.14/13.53 , Z, T, U, W ) }.
% 13.14/13.53 (46185) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 13.14/13.53 , Z, T, U, W ) }.
% 13.14/13.53 (46186) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 13.14/13.53 , Z, T, U, W ) }.
% 13.14/13.53 (46187) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 13.14/13.53 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 13.14/13.53 (46188) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 13.14/13.53 , Z, T, U, W ) }.
% 13.14/13.53 (46189) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 13.14/13.53 , Z, T, U, W ) }.
% 13.14/13.53 (46190) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 13.14/13.53 , Z, T, U, W ) }.
% 13.14/13.53 (46191) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 13.14/13.53 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 13.14/13.53 (46192) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 13.14/13.53 X, Y, Z, T ) }.
% 13.14/13.53 (46193) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 13.14/13.53 Z, T, U, W ) }.
% 13.14/13.53 (46194) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 13.14/13.53 , T, X, T, Y ) }.
% 13.14/13.53 (46195) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 13.14/13.53 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 13.14/13.53 (46196) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 13.14/13.53 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 13.14/13.53 (46197) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 13.14/13.53 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 13.14/13.53 , Y, Z, T ) }.
% 13.14/13.53 (46198) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 13.14/13.53 ( Z, T, X, Y ) }.
% 13.14/13.54 (46199) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 13.14/13.54 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 13.14/13.54 (46200) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 13.14/13.54 X, Y, Z, Y ) }.
% 13.14/13.54 (46201) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 13.14/13.54 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 13.14/13.54 (46202) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 13.14/13.54 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 13.14/13.54 (46203) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 13.14/13.54 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 13.14/13.54 (46204) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 13.14/13.54 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 13.14/13.54 (46205) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 13.14/13.54 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 13.14/13.54 (46206) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 13.14/13.54 cong( X, Z, Y, Z ) }.
% 13.14/13.54 (46207) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 13.14/13.54 perp( X, Y, Y, Z ) }.
% 13.14/13.54 (46208) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 13.14/13.54 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 13.14/13.54 (46209) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 13.14/13.54 cong( Z, X, Z, Y ) }.
% 13.14/13.54 (46210) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 13.14/13.54 , perp( X, Y, Z, T ) }.
% 13.14/13.54 (46211) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 13.14/13.54 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 13.14/13.54 (46212) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 13.14/13.54 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 13.14/13.54 , W ) }.
% 13.14/13.54 (46213) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 13.14/13.54 , X, Z, T, U, T, W ) }.
% 13.14/13.54 (46214) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 13.14/13.54 , Y, Z, T, U, U, W ) }.
% 13.14/13.54 (46215) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 13.14/13.54 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 13.14/13.54 (46216) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 13.14/13.54 , T ) }.
% 13.14/13.54 (46217) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 13.14/13.54 ( X, Z, Y, T ) }.
% 13.14/13.54 (46218) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 13.14/13.54 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 13.14/13.54 (46219) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 13.14/13.54 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 13.14/13.54 (46220) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 13.14/13.54 (46221) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 13.14/13.54 midp( X, Y, Z ) }.
% 13.14/13.54 (46222) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 13.14/13.54 (46223) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 13.14/13.54 (46224) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 13.14/13.54 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 13.14/13.54 (46225) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 13.14/13.54 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 13.14/13.54 (46226) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 13.14/13.54 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 13.14/13.54 (46227) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 13.14/13.54 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 13.14/13.54 (46228) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 13.14/13.54 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 13.14/13.54 (46229) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 13.14/13.54 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 13.14/13.54 (46230) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 13.14/13.54 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 13.14/13.54 (46231) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 13.14/13.54 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 13.14/13.54 (46232) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 13.14/13.54 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 13.14/13.54 (46233) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 13.14/13.54 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 13.14/13.54 (46234) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 13.14/13.54 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 13.14/13.54 (46235) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 13.14/13.54 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 13.14/13.54 (46236) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 13.14/13.54 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 13.14/13.54 (46237) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 13.14/13.54 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 13.14/13.54 (46238) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 13.14/13.54 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 13.14/13.54 (46239) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 13.14/13.54 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 13.14/13.54 , T ) ) }.
% 13.14/13.54 (46240) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 13.14/13.54 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 13.14/13.54 (46241) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 13.14/13.54 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 13.14/13.54 (46242) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 13.14/13.54 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 13.14/13.54 (46243) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 13.14/13.54 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 13.14/13.54 (46244) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 13.14/13.54 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 13.14/13.54 ) }.
% 13.14/13.54 (46245) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 13.14/13.54 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 13.14/13.54 }.
% 13.14/13.54 (46246) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 13.14/13.54 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 13.14/13.54 (46247) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 13.14/13.54 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 13.14/13.54 (46248) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 13.14/13.54 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 13.14/13.54 (46249) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 13.14/13.54 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 13.14/13.54 (46250) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 13.14/13.54 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 13.14/13.54 (46251) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 13.14/13.54 , alpha1( X, Y, Z ) }.
% 13.14/13.54 (46252) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 13.14/13.54 ), Z, X ) }.
% 13.14/13.54 (46253) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 13.14/13.54 , Z ), Z, X ) }.
% 13.14/13.54 (46254) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 13.14/13.54 alpha1( X, Y, Z ) }.
% 13.14/13.54 (46255) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 13.14/13.54 ), X, X, Y ) }.
% 13.14/13.54 (46256) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 13.14/13.54 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 13.14/13.54 ) ) }.
% 13.14/13.54 (46257) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 13.14/13.54 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 13.14/13.54 (46258) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 13.14/13.54 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 13.14/13.54 }.
% 13.14/13.54 (46259) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 13.14/13.54 (46260) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 13.14/13.54 }.
% 13.14/13.54 (46261) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 13.14/13.54 alpha2( X, Y, Z, T ) }.
% 13.14/13.54 (46262) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 13.14/13.54 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 13.14/13.54 (46263) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 13.14/13.54 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 13.14/13.54 (46264) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 13.14/13.54 coll( skol16( W, Y, Z ), Y, Z ) }.
% 13.14/13.54 (46265) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 13.14/13.54 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 13.14/13.54 (46266) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 13.14/13.54 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 13.14/13.54 (46267) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 13.14/13.54 , coll( X, Y, skol18( X, Y ) ) }.
% 13.14/13.54 (46268) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 13.14/13.54 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 13.14/13.54 (46269) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 13.14/13.54 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 13.14/13.54 }.
% 13.14/13.54 (46270) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 13.14/13.54 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 13.14/13.54 }.
% 13.14/13.54 (46271) {G0,W5,D2,L1,V0,M1} { circle( skol23, skol25, skol20, skol22 ) }.
% 13.14/13.54 (46272) {G0,W5,D2,L1,V0,M1} { circle( skol23, skol25, skol26, skol27 ) }.
% 13.14/13.54 (46273) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol22 ) }.
% 13.14/13.54 (46274) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol20, skol26 ) }.
% 13.14/13.54 (46275) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol25, skol20, skol28 ) }.
% 13.14/13.54 (46276) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol22, skol26, skol28 ) }.
% 13.14/13.54 (46277) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol25, skol24, skol31 ) }.
% 13.14/13.54 (46278) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol22, skol24, skol32 ) }.
% 13.14/13.54 (46279) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22, skol23, skol20 )
% 13.14/13.54 }.
% 13.14/13.54
% 13.14/13.54
% 13.14/13.54 Total Proof:
% 13.14/13.54
% 13.14/13.54 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent0: (46154) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 parent0: (46155) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 13.14/13.54 Z ), coll( Y, Z, X ) }.
% 13.14/13.54 parent0: (46156) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 13.14/13.54 ), coll( Y, Z, X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 2
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 13.14/13.54 , T, Z ) }.
% 13.14/13.54 parent0: (46160) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 13.14/13.54 T, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 13.14/13.54 , X, Y ) }.
% 13.14/13.54 parent0: (46161) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 13.14/13.54 X, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 13.14/13.54 W, Z, T ), para( X, Y, Z, T ) }.
% 13.14/13.54 parent0: (46162) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 13.14/13.54 , Z, T ), para( X, Y, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := U
% 13.14/13.54 W := W
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 2
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 13.14/13.54 X, Y, T, Z ) }.
% 13.14/13.54 parent0: (46167) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Y, T, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 13.14/13.54 X, Z, Y, T ) }.
% 13.14/13.54 parent0: (46168) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Z, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 13.14/13.54 Y, X, Z, T ) }.
% 13.14/13.54 parent0: (46169) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 13.14/13.54 , X, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 13.14/13.54 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 13.14/13.54 parent0: (46170) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 13.14/13.54 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := U
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 2
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 13.14/13.54 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 13.14/13.54 parent0: (46172) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 13.14/13.54 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := U
% 13.14/13.54 W := W
% 13.14/13.54 V0 := V0
% 13.14/13.54 V1 := V1
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 13.14/13.54 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 13.14/13.54 parent0: (46173) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 13.14/13.54 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := U
% 13.14/13.54 W := W
% 13.14/13.54 V0 := V0
% 13.14/13.54 V1 := V1
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 13.14/13.54 , Y, U, W, Z, T, U, W ) }.
% 13.14/13.54 parent0: (46193) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 13.14/13.54 Y, U, W, Z, T, U, W ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := U
% 13.14/13.54 W := W
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 13.14/13.54 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 13.14/13.54 parent0: (46196) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 13.14/13.54 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 2
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 13.14/13.54 T, X, Z ), perp( X, Y, Y, Z ) }.
% 13.14/13.54 parent0: (46207) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 13.14/13.54 , X, Z ), perp( X, Y, Y, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 2
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 13.14/13.54 , T, X, Z ), alpha1( X, Y, Z ) }.
% 13.14/13.54 parent0: (46251) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 13.14/13.54 , X, Z ), alpha1( X, Y, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 2
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 13.14/13.54 skol11( X, T, Z ), Z, X ) }.
% 13.14/13.54 parent0: (46252) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 13.14/13.54 ( X, T, Z ), Z, X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 13.14/13.54 skol12( X, Y ), X, X, Y ) }.
% 13.14/13.54 parent0: (46255) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 13.14/13.54 skol12( X, Y ), X, X, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol28, skol25, skol22 )
% 13.14/13.54 }.
% 13.14/13.54 parent0: (46273) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol28, skol20, skol26 )
% 13.14/13.54 }.
% 13.14/13.54 parent0: (46274) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol20, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol22, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 parent0: (46276) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol22, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (124) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol24, skol22, skol23
% 13.14/13.54 , skol20 ) }.
% 13.14/13.54 parent0: (46279) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22, skol23,
% 13.14/13.54 skol20 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 factor: (46705) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 13.14/13.54 , Z ), coll( Y, Z, X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := Z
% 13.14/13.54 T := Y
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (125) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 13.14/13.54 , X ) }.
% 13.14/13.54 parent0: (46705) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46706) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol22, skol25 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol28, skol25, skol22 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := skol25
% 13.14/13.54 Z := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (162) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol28, skol22,
% 13.14/13.54 skol25 ) }.
% 13.14/13.54 parent0: (46706) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol22, skol25 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46707) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol20 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol28, skol20, skol26 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := skol20
% 13.14/13.54 Z := skol26
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (163) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol28, skol26,
% 13.14/13.54 skol20 ) }.
% 13.14/13.54 parent0: (46707) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol20 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46708) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol28, skol20 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (163) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol28, skol26,
% 13.14/13.54 skol20 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := skol26
% 13.14/13.54 Z := skol20
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (164) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol26, skol28,
% 13.14/13.54 skol20 ) }.
% 13.14/13.54 parent0: (46708) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol28, skol20 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46709) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol28, skol25 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (162) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol28, skol22,
% 13.14/13.54 skol25 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := skol22
% 13.14/13.54 Z := skol25
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (165) {G2,W4,D2,L1,V0,M1} R(1,162) { coll( skol22, skol28,
% 13.14/13.54 skol25 ) }.
% 13.14/13.54 parent0: (46709) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol28, skol25 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46711) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 13.14/13.54 ) }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 13.14/13.54 , Z, X ) }.
% 13.14/13.54 parent0: (46711) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 1
% 13.14/13.54 1 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46712) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol28 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (164) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol26, skol28,
% 13.14/13.54 skol20 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol26
% 13.14/13.54 Y := skol28
% 13.14/13.54 Z := skol20
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (170) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol26, skol20,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 parent0: (46712) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46713) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol28 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (165) {G2,W4,D2,L1,V0,M1} R(1,162) { coll( skol22, skol28,
% 13.14/13.54 skol25 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol28
% 13.14/13.54 Z := skol25
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (172) {G3,W4,D2,L1,V0,M1} R(165,0) { coll( skol22, skol25,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 parent0: (46713) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46717) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 13.14/13.54 X ), ! coll( Z, T, Y ) }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 13.14/13.54 ), coll( Y, Z, X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := Z
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Y
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 13.14/13.54 ( X, Y, T ), coll( Z, X, T ) }.
% 13.14/13.54 parent0: (46717) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 13.14/13.54 , ! coll( Z, T, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Z
% 13.14/13.54 Y := T
% 13.14/13.54 Z := X
% 13.14/13.54 T := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 2
% 13.14/13.54 1 ==> 0
% 13.14/13.54 2 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46720) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol25, X ),
% 13.14/13.54 coll( X, skol22, skol28 ) }.
% 13.14/13.54 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 13.14/13.54 ), coll( Y, Z, X ) }.
% 13.14/13.54 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol28, skol25, skol22 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := X
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol25
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (193) {G1,W8,D2,L2,V1,M2} R(2,118) { ! coll( skol28, skol25, X
% 13.14/13.54 ), coll( X, skol22, skol28 ) }.
% 13.14/13.54 parent0: (46720) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol25, X ), coll(
% 13.14/13.54 X, skol22, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 factor: (46721) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0, 1]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 13.14/13.54 coll( X, Y, T ), coll( Z, X, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z
% 13.14/13.54 , X, Z ) }.
% 13.14/13.54 parent0: (46721) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46722) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol28 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (172) {G3,W4,D2,L1,V0,M1} R(165,0) { coll( skol22, skol25,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol25
% 13.14/13.54 Z := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (201) {G4,W4,D2,L1,V0,M1} R(172,1) { coll( skol25, skol22,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 parent0: (46722) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46723) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol28 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 13.14/13.54 X, Z ) }.
% 13.14/13.54 parent1[0]: (201) {G4,W4,D2,L1,V0,M1} R(172,1) { coll( skol25, skol22,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol25
% 13.14/13.54 Y := skol22
% 13.14/13.54 Z := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (211) {G5,W4,D2,L1,V0,M1} R(196,201) { coll( skol28, skol25,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 parent0: (46723) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46724) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 13.14/13.54 X ), ! coll( Z, T, Y ) }.
% 13.14/13.54 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 13.14/13.54 X, Z ) }.
% 13.14/13.54 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 13.14/13.54 ), coll( Y, Z, X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := Z
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Y
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll
% 13.14/13.54 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 13.14/13.54 parent0: (46724) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 13.14/13.54 , ! coll( Z, T, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := X
% 13.14/13.54 T := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46726) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol28 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 13.14/13.54 X, Z ) }.
% 13.14/13.54 parent1[0]: (170) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol26, skol20,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol26
% 13.14/13.54 Y := skol20
% 13.14/13.54 Z := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (217) {G4,W4,D2,L1,V0,M1} R(196,170) { coll( skol28, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 parent0: (46726) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46727) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol28, skol22 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 13.14/13.54 X, Z ) }.
% 13.14/13.54 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol28, skol25, skol22 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := skol25
% 13.14/13.54 Z := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (224) {G3,W4,D2,L1,V0,M1} R(196,118) { coll( skol22, skol28,
% 13.14/13.54 skol22 ) }.
% 13.14/13.54 parent0: (46727) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol28, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46728) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol28, skol26 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 13.14/13.54 X, Z ) }.
% 13.14/13.54 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol28, skol20, skol26 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := skol20
% 13.14/13.54 Z := skol26
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (225) {G3,W4,D2,L1,V0,M1} R(196,119) { coll( skol26, skol28,
% 13.14/13.54 skol26 ) }.
% 13.14/13.54 parent0: (46728) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol28, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 factor: (46729) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent0[1, 2]: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), !
% 13.14/13.54 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := Y
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X
% 13.14/13.54 , Z, Y ) }.
% 13.14/13.54 parent0: (46729) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46730) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol25 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (211) {G5,W4,D2,L1,V0,M1} R(196,201) { coll( skol28, skol25,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := skol25
% 13.14/13.54 Z := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (254) {G6,W4,D2,L1,V0,M1} R(211,0) { coll( skol28, skol28,
% 13.14/13.54 skol25 ) }.
% 13.14/13.54 parent0: (46730) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol25 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46731) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol28, X ),
% 13.14/13.54 coll( skol25, X, skol28 ) }.
% 13.14/13.54 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 13.14/13.54 ), coll( Y, Z, X ) }.
% 13.14/13.54 parent1[0]: (254) {G6,W4,D2,L1,V0,M1} R(211,0) { coll( skol28, skol28,
% 13.14/13.54 skol25 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := skol25
% 13.14/13.54 Z := X
% 13.14/13.54 T := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (256) {G7,W8,D2,L2,V1,M2} R(254,2) { ! coll( skol28, skol28, X
% 13.14/13.54 ), coll( skol25, X, skol28 ) }.
% 13.14/13.54 parent0: (46731) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol28, X ), coll(
% 13.14/13.54 skol25, X, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46734) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 13.14/13.54 Y, U, W ), ! perp( U, W, Z, T ) }.
% 13.14/13.54 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 13.14/13.54 , Z, T ), para( X, Y, Z, T ) }.
% 13.14/13.54 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 13.14/13.54 X, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := U
% 13.14/13.54 T := W
% 13.14/13.54 U := Z
% 13.14/13.54 W := T
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := U
% 13.14/13.54 Y := W
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (271) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 13.14/13.54 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 13.14/13.54 parent0: (46734) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 13.14/13.54 U, W ), ! perp( U, W, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := U
% 13.14/13.54 W := W
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 2
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 factor: (46737) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 13.14/13.54 , Y ) }.
% 13.14/13.54 parent0[0, 2]: (271) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 13.14/13.54 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := X
% 13.14/13.54 W := Y
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (279) {G2,W10,D2,L2,V4,M2} F(271) { ! perp( X, Y, Z, T ), para
% 13.14/13.54 ( X, Y, X, Y ) }.
% 13.14/13.54 parent0: (46737) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 13.14/13.54 X, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46738) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol26 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (217) {G4,W4,D2,L1,V0,M1} R(196,170) { coll( skol28, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := skol26
% 13.14/13.54 Z := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (300) {G5,W4,D2,L1,V0,M1} R(217,0) { coll( skol28, skol28,
% 13.14/13.54 skol26 ) }.
% 13.14/13.54 parent0: (46738) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46739) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol28 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (224) {G3,W4,D2,L1,V0,M1} R(196,118) { coll( skol22, skol28,
% 13.14/13.54 skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol28
% 13.14/13.54 Z := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (326) {G4,W4,D2,L1,V0,M1} R(224,0) { coll( skol22, skol22,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 parent0: (46739) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46740) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol22, X ),
% 13.14/13.54 coll( skol28, X, skol22 ) }.
% 13.14/13.54 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 13.14/13.54 ), coll( Y, Z, X ) }.
% 13.14/13.54 parent1[0]: (326) {G4,W4,D2,L1,V0,M1} R(224,0) { coll( skol22, skol22,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol28
% 13.14/13.54 Z := X
% 13.14/13.54 T := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (329) {G5,W8,D2,L2,V1,M2} R(326,2) { ! coll( skol22, skol22, X
% 13.14/13.54 ), coll( skol28, X, skol22 ) }.
% 13.14/13.54 parent0: (46740) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol22, X ), coll(
% 13.14/13.54 skol28, X, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46742) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol28 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (225) {G3,W4,D2,L1,V0,M1} R(196,119) { coll( skol26, skol28,
% 13.14/13.54 skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol26
% 13.14/13.54 Y := skol28
% 13.14/13.54 Z := skol26
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (333) {G4,W4,D2,L1,V0,M1} R(225,0) { coll( skol26, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 parent0: (46742) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46743) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ),
% 13.14/13.54 coll( skol28, X, skol26 ) }.
% 13.14/13.54 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 13.14/13.54 ), coll( Y, Z, X ) }.
% 13.14/13.54 parent1[0]: (333) {G4,W4,D2,L1,V0,M1} R(225,0) { coll( skol26, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol26
% 13.14/13.54 Y := skol28
% 13.14/13.54 Z := X
% 13.14/13.54 T := skol26
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (335) {G5,W8,D2,L2,V1,M2} R(333,2) { ! coll( skol26, skol26, X
% 13.14/13.54 ), coll( skol28, X, skol26 ) }.
% 13.14/13.54 parent0: (46743) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ), coll(
% 13.14/13.54 skol28, X, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46746) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 13.14/13.54 ( X, Z, Y, T ) }.
% 13.14/13.54 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Y, T, Z ) }.
% 13.14/13.54 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Z, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := Y
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (338) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 13.14/13.54 cyclic( X, Z, T, Y ) }.
% 13.14/13.54 parent0: (46746) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 13.14/13.54 , Z, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := Y
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 1
% 13.14/13.54 1 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46747) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol22
% 13.14/13.54 , skol20 ) }.
% 13.14/13.54 parent0[0]: (124) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol24, skol22, skol23
% 13.14/13.54 , skol20 ) }.
% 13.14/13.54 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Z, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol24
% 13.14/13.54 Y := skol23
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol20
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (339) {G1,W5,D2,L1,V0,M1} R(14,124) { ! cyclic( skol24, skol23
% 13.14/13.54 , skol22, skol20 ) }.
% 13.14/13.54 parent0: (46747) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol22,
% 13.14/13.54 skol20 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46748) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20
% 13.14/13.54 , skol22 ) }.
% 13.14/13.54 parent0[0]: (339) {G1,W5,D2,L1,V0,M1} R(14,124) { ! cyclic( skol24, skol23
% 13.14/13.54 , skol22, skol20 ) }.
% 13.14/13.54 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Y, T, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol24
% 13.14/13.54 Y := skol23
% 13.14/13.54 Z := skol20
% 13.14/13.54 T := skol22
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (340) {G2,W5,D2,L1,V0,M1} R(339,13) { ! cyclic( skol24, skol23
% 13.14/13.54 , skol20, skol22 ) }.
% 13.14/13.54 parent0: (46748) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20,
% 13.14/13.54 skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46749) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol23
% 13.14/13.54 , skol22 ) }.
% 13.14/13.54 parent0[0]: (340) {G2,W5,D2,L1,V0,M1} R(339,13) { ! cyclic( skol24, skol23
% 13.14/13.54 , skol20, skol22 ) }.
% 13.14/13.54 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Z, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol24
% 13.14/13.54 Y := skol20
% 13.14/13.54 Z := skol23
% 13.14/13.54 T := skol22
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (341) {G3,W5,D2,L1,V0,M1} R(340,14) { ! cyclic( skol24, skol20
% 13.14/13.54 , skol23, skol22 ) }.
% 13.14/13.54 parent0: (46749) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol23,
% 13.14/13.54 skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46750) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol22
% 13.14/13.54 , skol23 ) }.
% 13.14/13.54 parent0[0]: (341) {G3,W5,D2,L1,V0,M1} R(340,14) { ! cyclic( skol24, skol20
% 13.14/13.54 , skol23, skol22 ) }.
% 13.14/13.54 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Y, T, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol24
% 13.14/13.54 Y := skol20
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol23
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (342) {G4,W5,D2,L1,V0,M1} R(341,13) { ! cyclic( skol24, skol20
% 13.14/13.54 , skol22, skol23 ) }.
% 13.14/13.54 parent0: (46750) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol22,
% 13.14/13.54 skol23 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46751) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol22
% 13.14/13.54 , skol23 ) }.
% 13.14/13.54 parent0[0]: (342) {G4,W5,D2,L1,V0,M1} R(341,13) { ! cyclic( skol24, skol20
% 13.14/13.54 , skol22, skol23 ) }.
% 13.14/13.54 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 13.14/13.54 , X, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol20
% 13.14/13.54 Y := skol24
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol23
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (343) {G5,W5,D2,L1,V0,M1} R(15,342) { ! cyclic( skol20, skol24
% 13.14/13.54 , skol22, skol23 ) }.
% 13.14/13.54 parent0: (46751) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol22,
% 13.14/13.54 skol23 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46752) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 13.14/13.54 ( X, Z, Y, T ) }.
% 13.14/13.54 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 13.14/13.54 , X, Z, T ) }.
% 13.14/13.54 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Z, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := Y
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (347) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 13.14/13.54 cyclic( Y, Z, X, T ) }.
% 13.14/13.54 parent0: (46752) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 13.14/13.54 , Z, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46753) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 13.14/13.54 ( X, Y, T, Z ) }.
% 13.14/13.54 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 13.14/13.54 , X, Z, T ) }.
% 13.14/13.54 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Y, T, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := T
% 13.14/13.54 T := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (349) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 13.14/13.54 cyclic( Y, X, T, Z ) }.
% 13.14/13.54 parent0: (46753) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 13.14/13.54 , Y, T, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46754) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24
% 13.14/13.54 , skol23 ) }.
% 13.14/13.54 parent0[0]: (343) {G5,W5,D2,L1,V0,M1} R(15,342) { ! cyclic( skol20, skol24
% 13.14/13.54 , skol22, skol23 ) }.
% 13.14/13.54 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Z, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol20
% 13.14/13.54 Y := skol22
% 13.14/13.54 Z := skol24
% 13.14/13.54 T := skol23
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (356) {G6,W5,D2,L1,V0,M1} R(343,14) { ! cyclic( skol20, skol22
% 13.14/13.54 , skol24, skol23 ) }.
% 13.14/13.54 parent0: (46754) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24,
% 13.14/13.54 skol23 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46755) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol24
% 13.14/13.54 , skol23 ) }.
% 13.14/13.54 parent0[0]: (356) {G6,W5,D2,L1,V0,M1} R(343,14) { ! cyclic( skol20, skol22
% 13.14/13.54 , skol24, skol23 ) }.
% 13.14/13.54 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 13.14/13.54 , X, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol20
% 13.14/13.54 Z := skol24
% 13.14/13.54 T := skol23
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (358) {G7,W5,D2,L1,V0,M1} R(356,15) { ! cyclic( skol22, skol20
% 13.14/13.54 , skol24, skol23 ) }.
% 13.14/13.54 parent0: (46755) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol24,
% 13.14/13.54 skol23 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46756) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23
% 13.14/13.54 , skol24 ) }.
% 13.14/13.54 parent0[0]: (358) {G7,W5,D2,L1,V0,M1} R(356,15) { ! cyclic( skol22, skol20
% 13.14/13.54 , skol24, skol23 ) }.
% 13.14/13.54 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Y, T, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol20
% 13.14/13.54 Z := skol23
% 13.14/13.54 T := skol24
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (361) {G8,W5,D2,L1,V0,M1} R(358,13) { ! cyclic( skol22, skol20
% 13.14/13.54 , skol23, skol24 ) }.
% 13.14/13.54 parent0: (46756) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23,
% 13.14/13.54 skol24 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46760) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 13.14/13.54 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 13.14/13.54 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 13.14/13.54 , X, Z, T ) }.
% 13.14/13.54 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 13.14/13.54 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := U
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (371) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 13.14/13.54 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 13.14/13.54 parent0: (46760) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 13.14/13.54 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := T
% 13.14/13.54 T := U
% 13.14/13.54 U := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 2
% 13.14/13.54 1 ==> 0
% 13.14/13.54 2 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46763) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 13.14/13.54 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 13.14/13.54 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 13.14/13.54 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 13.14/13.54 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Y, T, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := T
% 13.14/13.54 T := U
% 13.14/13.54 U := X
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := U
% 13.14/13.54 T := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (378) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 13.14/13.54 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 13.14/13.54 parent0: (46763) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 13.14/13.54 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := U
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 2
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 factor: (46765) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 13.14/13.54 Y, T, T ) }.
% 13.14/13.54 parent0[0, 1]: (371) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 13.14/13.54 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := T
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (383) {G2,W10,D2,L2,V4,M2} F(371) { ! cyclic( X, Y, Z, T ),
% 13.14/13.54 cyclic( Z, Y, T, T ) }.
% 13.14/13.54 parent0: (46765) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 13.14/13.54 , Y, T, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46766) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol20
% 13.14/13.54 , skol24 ) }.
% 13.14/13.54 parent0[0]: (361) {G8,W5,D2,L1,V0,M1} R(358,13) { ! cyclic( skol22, skol20
% 13.14/13.54 , skol23, skol24 ) }.
% 13.14/13.54 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 13.14/13.54 , Z, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol23
% 13.14/13.54 Z := skol20
% 13.14/13.54 T := skol24
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (386) {G9,W5,D2,L1,V0,M1} R(361,14) { ! cyclic( skol22, skol23
% 13.14/13.54 , skol20, skol24 ) }.
% 13.14/13.54 parent0: (46766) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol20,
% 13.14/13.54 skol24 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46767) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol23,
% 13.14/13.54 skol20 ), ! cyclic( X, skol22, skol23, skol24 ) }.
% 13.14/13.54 parent0[0]: (386) {G9,W5,D2,L1,V0,M1} R(361,14) { ! cyclic( skol22, skol23
% 13.14/13.54 , skol20, skol24 ) }.
% 13.14/13.54 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 13.14/13.54 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol23
% 13.14/13.54 Z := skol20
% 13.14/13.54 T := skol24
% 13.14/13.54 U := X
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (387) {G10,W10,D2,L2,V1,M2} R(386,16) { ! cyclic( X, skol22,
% 13.14/13.54 skol23, skol20 ), ! cyclic( X, skol22, skol23, skol24 ) }.
% 13.14/13.54 parent0: (46767) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol23,
% 13.14/13.54 skol20 ), ! cyclic( X, skol22, skol23, skol24 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46769) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 13.14/13.54 ) }.
% 13.14/13.54 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 parent1[0]: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X,
% 13.14/13.54 Z, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := X
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (412) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll(
% 13.14/13.54 Z, X, X ) }.
% 13.14/13.54 parent0: (46769) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 1
% 13.14/13.54 1 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46770) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 13.14/13.54 ) }.
% 13.14/13.54 parent0[0]: (412) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 13.14/13.54 , X, X ) }.
% 13.14/13.54 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (417) {G6,W8,D2,L2,V3,M2} R(412,1) { coll( X, Y, Y ), ! coll(
% 13.14/13.54 Z, Y, X ) }.
% 13.14/13.54 parent0: (46770) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46771) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 13.14/13.54 ) }.
% 13.14/13.54 parent0[0]: (412) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 13.14/13.54 , X, X ) }.
% 13.14/13.54 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := Y
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (418) {G6,W8,D2,L2,V3,M2} R(412,0) { coll( X, Y, Y ), ! coll(
% 13.14/13.54 Y, X, Z ) }.
% 13.14/13.54 parent0: (46771) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46772) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 13.14/13.54 ) }.
% 13.14/13.54 parent0[1]: (418) {G6,W8,D2,L2,V3,M2} R(412,0) { coll( X, Y, Y ), ! coll( Y
% 13.14/13.54 , X, Z ) }.
% 13.14/13.54 parent1[0]: (418) {G6,W8,D2,L2,V3,M2} R(412,0) { coll( X, Y, Y ), ! coll( Y
% 13.14/13.54 , X, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := X
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (434) {G7,W8,D2,L2,V3,M2} R(418,418) { ! coll( X, Y, Z ), coll
% 13.14/13.54 ( X, Y, Y ) }.
% 13.14/13.54 parent0: (46772) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 1
% 13.14/13.54 1 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46776) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 13.14/13.54 X ), ! coll( X, Y, T ) }.
% 13.14/13.54 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 13.14/13.54 ), coll( Y, Z, X ) }.
% 13.14/13.54 parent1[1]: (434) {G7,W8,D2,L2,V3,M2} R(418,418) { ! coll( X, Y, Z ), coll
% 13.14/13.54 ( X, Y, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := Y
% 13.14/13.54 T := Y
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := T
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (437) {G8,W12,D2,L3,V4,M3} R(434,2) { ! coll( X, Y, Z ), !
% 13.14/13.54 coll( X, Y, T ), coll( T, Y, X ) }.
% 13.14/13.54 parent0: (46776) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 13.14/13.54 , ! coll( X, Y, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := T
% 13.14/13.54 T := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 1
% 13.14/13.54 1 ==> 2
% 13.14/13.54 2 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 factor: (46779) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0, 1]: (437) {G8,W12,D2,L3,V4,M3} R(434,2) { ! coll( X, Y, Z ), !
% 13.14/13.54 coll( X, Y, T ), coll( T, Y, X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (438) {G9,W8,D2,L2,V3,M2} F(437) { ! coll( X, Y, Z ), coll( Z
% 13.14/13.54 , Y, X ) }.
% 13.14/13.54 parent0: (46779) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46780) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 13.14/13.54 ) }.
% 13.14/13.54 parent0[0]: (438) {G9,W8,D2,L2,V3,M2} F(437) { ! coll( X, Y, Z ), coll( Z,
% 13.14/13.54 Y, X ) }.
% 13.14/13.54 parent1[1]: (434) {G7,W8,D2,L2,V3,M2} R(418,418) { ! coll( X, Y, Z ), coll
% 13.14/13.54 ( X, Y, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Y
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (447) {G10,W8,D2,L2,V3,M2} R(438,434) { coll( X, X, Y ), !
% 13.14/13.54 coll( Y, X, Z ) }.
% 13.14/13.54 parent0: (46780) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Z
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46781) {G6,W8,D2,L2,V2,M2} { coll( skol28, X, skol26 ), !
% 13.14/13.54 coll( X, skol26, Y ) }.
% 13.14/13.54 parent0[0]: (335) {G5,W8,D2,L2,V1,M2} R(333,2) { ! coll( skol26, skol26, X
% 13.14/13.54 ), coll( skol28, X, skol26 ) }.
% 13.14/13.54 parent1[0]: (447) {G10,W8,D2,L2,V3,M2} R(438,434) { coll( X, X, Y ), ! coll
% 13.14/13.54 ( Y, X, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol26
% 13.14/13.54 Y := X
% 13.14/13.54 Z := Y
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (589) {G11,W8,D2,L2,V2,M2} R(335,447) { coll( skol28, X,
% 13.14/13.54 skol26 ), ! coll( X, skol26, Y ) }.
% 13.14/13.54 parent0: (46781) {G6,W8,D2,L2,V2,M2} { coll( skol28, X, skol26 ), ! coll(
% 13.14/13.54 X, skol26, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46782) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 13.14/13.54 ), ! para( X, Y, U, W ) }.
% 13.14/13.54 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 13.14/13.54 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 13.14/13.54 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 13.14/13.54 , Y, U, W, Z, T, U, W ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := Z
% 13.14/13.54 T := T
% 13.14/13.54 U := U
% 13.14/13.54 W := W
% 13.14/13.54 V0 := Z
% 13.14/13.54 V1 := T
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := U
% 13.14/13.54 T := W
% 13.14/13.54 U := Z
% 13.14/13.54 W := T
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (729) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 13.14/13.54 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 13.14/13.54 parent0: (46782) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 13.14/13.54 , ! para( X, Y, U, W ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := U
% 13.14/13.54 T := W
% 13.14/13.54 U := Z
% 13.14/13.54 W := T
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 1
% 13.14/13.54 1 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46783) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 13.14/13.54 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 13.14/13.54 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 13.14/13.54 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 13.14/13.54 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 13.14/13.54 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := Y
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := X
% 13.14/13.54 T := T
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := T
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := T
% 13.14/13.54 T := Z
% 13.14/13.54 U := X
% 13.14/13.54 W := Y
% 13.14/13.54 V0 := X
% 13.14/13.54 V1 := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (811) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 13.14/13.54 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 13.14/13.54 parent0: (46783) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 13.14/13.54 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := T
% 13.14/13.54 Z := Z
% 13.14/13.54 T := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 2 ==> 2
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46784) {G1,W9,D2,L2,V0,M2} { ! coll( skol30, skol22, skol28 )
% 13.14/13.54 , perp( skol22, skol26, skol26, skol28 ) }.
% 13.14/13.54 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 13.14/13.54 , X, Z ), perp( X, Y, Y, Z ) }.
% 13.14/13.54 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol22, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol26
% 13.14/13.54 Z := skol28
% 13.14/13.54 T := skol30
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (1455) {G1,W9,D2,L2,V0,M2} R(53,121) { ! coll( skol30, skol22
% 13.14/13.54 , skol28 ), perp( skol22, skol26, skol26, skol28 ) }.
% 13.14/13.54 parent0: (46784) {G1,W9,D2,L2,V0,M2} { ! coll( skol30, skol22, skol28 ),
% 13.14/13.54 perp( skol22, skol26, skol26, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46785) {G2,W8,D2,L2,V2,M2} { coll( skol28, X, skol22 ), !
% 13.14/13.54 coll( X, Y, skol22 ) }.
% 13.14/13.54 parent0[0]: (329) {G5,W8,D2,L2,V1,M2} R(326,2) { ! coll( skol22, skol22, X
% 13.14/13.54 ), coll( skol28, X, skol22 ) }.
% 13.14/13.54 parent1[1]: (125) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 13.14/13.54 , X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := skol22
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (2987) {G6,W8,D2,L2,V2,M2} R(329,125) { coll( skol28, X,
% 13.14/13.54 skol22 ), ! coll( X, Y, skol22 ) }.
% 13.14/13.54 parent0: (46785) {G2,W8,D2,L2,V2,M2} { coll( skol28, X, skol22 ), ! coll(
% 13.14/13.54 X, Y, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46787) {G2,W8,D2,L2,V2,M2} { coll( X, skol22, skol28 ), !
% 13.14/13.54 coll( X, Y, skol22 ) }.
% 13.14/13.54 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 13.14/13.54 Z, X ) }.
% 13.14/13.54 parent1[0]: (2987) {G6,W8,D2,L2,V2,M2} R(329,125) { coll( skol28, X, skol22
% 13.14/13.54 ), ! coll( X, Y, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol28
% 13.14/13.54 Y := X
% 13.14/13.54 Z := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (3051) {G7,W8,D2,L2,V2,M2} R(2987,167) { ! coll( X, Y, skol22
% 13.14/13.54 ), coll( X, skol22, skol28 ) }.
% 13.14/13.54 parent0: (46787) {G2,W8,D2,L2,V2,M2} { coll( X, skol22, skol28 ), ! coll(
% 13.14/13.54 X, Y, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 1
% 13.14/13.54 1 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46788) {G2,W8,D2,L2,V2,M2} { coll( X, skol22, skol28 ), !
% 13.14/13.54 coll( skol22, Y, X ) }.
% 13.14/13.54 parent0[0]: (3051) {G7,W8,D2,L2,V2,M2} R(2987,167) { ! coll( X, Y, skol22 )
% 13.14/13.54 , coll( X, skol22, skol28 ) }.
% 13.14/13.54 parent1[1]: (125) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 13.14/13.54 , X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := X
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := X
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (3067) {G8,W8,D2,L2,V2,M2} R(3051,125) { coll( X, skol22,
% 13.14/13.54 skol28 ), ! coll( skol22, Y, X ) }.
% 13.14/13.54 parent0: (46788) {G2,W8,D2,L2,V2,M2} { coll( X, skol22, skol28 ), ! coll(
% 13.14/13.54 skol22, Y, X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 1 ==> 1
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46789) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T
% 13.14/13.54 , Y ) }.
% 13.14/13.54 parent0[1]: (417) {G6,W8,D2,L2,V3,M2} R(412,1) { coll( X, Y, Y ), ! coll( Z
% 13.14/13.54 , Y, X ) }.
% 13.14/13.54 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 13.14/13.54 ( X, T, Z ), Z, X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 Z := skol11( X, Z, Y )
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 Y := T
% 13.14/13.54 Z := Y
% 13.14/13.54 T := Z
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (4102) {G7,W8,D2,L2,V3,M2} R(97,417) { ! alpha1( X, Y, Z ),
% 13.14/13.54 coll( X, Z, Z ) }.
% 13.14/13.54 parent0: (46789) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T, Y
% 13.14/13.54 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Z
% 13.14/13.54 Z := T
% 13.14/13.54 T := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 1
% 13.14/13.54 1 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46790) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol22, skol30 ),
% 13.14/13.54 skol22, skol22, skol30 ) }.
% 13.14/13.54 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 13.14/13.54 skol12( X, Y ), X, X, Y ) }.
% 13.14/13.54 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol22, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol30
% 13.14/13.54 Z := skol26
% 13.14/13.54 T := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (4589) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol22,
% 13.14/13.54 skol30 ), skol22, skol22, skol30 ) }.
% 13.14/13.54 parent0: (46790) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol22, skol30 ),
% 13.14/13.54 skol22, skol22, skol30 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46791) {G1,W7,D3,L1,V0,M1} { perp( skol22, skol30, skol12(
% 13.14/13.54 skol22, skol30 ), skol22 ) }.
% 13.14/13.54 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 13.14/13.54 X, Y ) }.
% 13.14/13.54 parent1[0]: (4589) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol22,
% 13.14/13.54 skol30 ), skol22, skol22, skol30 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol12( skol22, skol30 )
% 13.14/13.54 Y := skol22
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol30
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (7536) {G2,W7,D3,L1,V0,M1} R(4589,7) { perp( skol22, skol30,
% 13.14/13.54 skol12( skol22, skol30 ), skol22 ) }.
% 13.14/13.54 parent0: (46791) {G1,W7,D3,L1,V0,M1} { perp( skol22, skol30, skol12(
% 13.14/13.54 skol22, skol30 ), skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46792) {G1,W7,D3,L1,V0,M1} { perp( skol22, skol30, skol22,
% 13.14/13.54 skol12( skol22, skol30 ) ) }.
% 13.14/13.54 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 13.14/13.54 T, Z ) }.
% 13.14/13.54 parent1[0]: (7536) {G2,W7,D3,L1,V0,M1} R(4589,7) { perp( skol22, skol30,
% 13.14/13.54 skol12( skol22, skol30 ), skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol30
% 13.14/13.54 Z := skol12( skol22, skol30 )
% 13.14/13.54 T := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (7547) {G3,W7,D3,L1,V0,M1} R(7536,6) { perp( skol22, skol30,
% 13.14/13.54 skol22, skol12( skol22, skol30 ) ) }.
% 13.14/13.54 parent0: (46792) {G1,W7,D3,L1,V0,M1} { perp( skol22, skol30, skol22,
% 13.14/13.54 skol12( skol22, skol30 ) ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46793) {G1,W7,D3,L1,V0,M1} { perp( skol22, skol12( skol22,
% 13.14/13.54 skol30 ), skol22, skol30 ) }.
% 13.14/13.54 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 13.14/13.54 X, Y ) }.
% 13.14/13.54 parent1[0]: (7547) {G3,W7,D3,L1,V0,M1} R(7536,6) { perp( skol22, skol30,
% 13.14/13.54 skol22, skol12( skol22, skol30 ) ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol30
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol12( skol22, skol30 )
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (7557) {G4,W7,D3,L1,V0,M1} R(7547,7) { perp( skol22, skol12(
% 13.14/13.54 skol22, skol30 ), skol22, skol30 ) }.
% 13.14/13.54 parent0: (46793) {G1,W7,D3,L1,V0,M1} { perp( skol22, skol12( skol22,
% 13.14/13.54 skol30 ), skol22, skol30 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46794) {G1,W11,D3,L2,V0,M2} { ! perp( skol22, skol12( skol22
% 13.14/13.54 , skol30 ), skol22, skol30 ), alpha1( skol22, skol22, skol30 ) }.
% 13.14/13.54 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 13.14/13.54 T, X, Z ), alpha1( X, Y, Z ) }.
% 13.14/13.54 parent1[0]: (7557) {G4,W7,D3,L1,V0,M1} R(7547,7) { perp( skol22, skol12(
% 13.14/13.54 skol22, skol30 ), skol22, skol30 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol22
% 13.14/13.54 Z := skol30
% 13.14/13.54 T := skol12( skol22, skol30 )
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46795) {G2,W4,D2,L1,V0,M1} { alpha1( skol22, skol22, skol30 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (46794) {G1,W11,D3,L2,V0,M2} { ! perp( skol22, skol12( skol22
% 13.14/13.54 , skol30 ), skol22, skol30 ), alpha1( skol22, skol22, skol30 ) }.
% 13.14/13.54 parent1[0]: (7557) {G4,W7,D3,L1,V0,M1} R(7547,7) { perp( skol22, skol12(
% 13.14/13.54 skol22, skol30 ), skol22, skol30 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (7842) {G5,W4,D2,L1,V0,M1} R(7557,96);r(7557) { alpha1( skol22
% 13.14/13.54 , skol22, skol30 ) }.
% 13.14/13.54 parent0: (46795) {G2,W4,D2,L1,V0,M1} { alpha1( skol22, skol22, skol30 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46796) {G6,W4,D2,L1,V0,M1} { coll( skol22, skol30, skol30 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (4102) {G7,W8,D2,L2,V3,M2} R(97,417) { ! alpha1( X, Y, Z ),
% 13.14/13.54 coll( X, Z, Z ) }.
% 13.14/13.54 parent1[0]: (7842) {G5,W4,D2,L1,V0,M1} R(7557,96);r(7557) { alpha1( skol22
% 13.14/13.54 , skol22, skol30 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol22
% 13.14/13.54 Z := skol30
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (7852) {G8,W4,D2,L1,V0,M1} R(7842,4102) { coll( skol22, skol30
% 13.14/13.54 , skol30 ) }.
% 13.14/13.54 parent0: (46796) {G6,W4,D2,L1,V0,M1} { coll( skol22, skol30, skol30 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46797) {G9,W4,D2,L1,V0,M1} { coll( skol30, skol22, skol28 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[1]: (3067) {G8,W8,D2,L2,V2,M2} R(3051,125) { coll( X, skol22,
% 13.14/13.54 skol28 ), ! coll( skol22, Y, X ) }.
% 13.14/13.54 parent1[0]: (7852) {G8,W4,D2,L1,V0,M1} R(7842,4102) { coll( skol22, skol30
% 13.14/13.54 , skol30 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol30
% 13.14/13.54 Y := skol30
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (7879) {G9,W4,D2,L1,V0,M1} R(7852,3067) { coll( skol30, skol22
% 13.14/13.54 , skol28 ) }.
% 13.14/13.54 parent0: (46797) {G9,W4,D2,L1,V0,M1} { coll( skol30, skol22, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46799) {G8,W8,D2,L2,V0,M2} { coll( skol28, skol25, skol26 ),
% 13.14/13.54 ! coll( skol28, skol28, skol26 ) }.
% 13.14/13.54 parent0[1]: (589) {G11,W8,D2,L2,V2,M2} R(335,447) { coll( skol28, X, skol26
% 13.14/13.54 ), ! coll( X, skol26, Y ) }.
% 13.14/13.54 parent1[1]: (256) {G7,W8,D2,L2,V1,M2} R(254,2) { ! coll( skol28, skol28, X
% 13.14/13.54 ), coll( skol25, X, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol25
% 13.14/13.54 Y := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol26
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46800) {G6,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol26 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[1]: (46799) {G8,W8,D2,L2,V0,M2} { coll( skol28, skol25, skol26 ),
% 13.14/13.54 ! coll( skol28, skol28, skol26 ) }.
% 13.14/13.54 parent1[0]: (300) {G5,W4,D2,L1,V0,M1} R(217,0) { coll( skol28, skol28,
% 13.14/13.54 skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (14356) {G12,W4,D2,L1,V0,M1} R(256,589);r(300) { coll( skol28
% 13.14/13.54 , skol25, skol26 ) }.
% 13.14/13.54 parent0: (46800) {G6,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46801) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol28 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (193) {G1,W8,D2,L2,V1,M2} R(2,118) { ! coll( skol28, skol25, X
% 13.14/13.54 ), coll( X, skol22, skol28 ) }.
% 13.14/13.54 parent1[0]: (14356) {G12,W4,D2,L1,V0,M1} R(256,589);r(300) { coll( skol28,
% 13.14/13.54 skol25, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol26
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (14415) {G13,W4,D2,L1,V0,M1} R(14356,193) { coll( skol26,
% 13.14/13.54 skol22, skol28 ) }.
% 13.14/13.54 parent0: (46801) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46802) {G11,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol26 )
% 13.14/13.54 }.
% 13.14/13.54 parent0[1]: (447) {G10,W8,D2,L2,V3,M2} R(438,434) { coll( X, X, Y ), ! coll
% 13.14/13.54 ( Y, X, Z ) }.
% 13.14/13.54 parent1[0]: (14415) {G13,W4,D2,L1,V0,M1} R(14356,193) { coll( skol26,
% 13.14/13.54 skol22, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol26
% 13.14/13.54 Z := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (14465) {G14,W4,D2,L1,V0,M1} R(14415,447) { coll( skol22,
% 13.14/13.54 skol22, skol26 ) }.
% 13.14/13.54 parent0: (46802) {G11,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46803) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 parent0[0]: (1455) {G1,W9,D2,L2,V0,M2} R(53,121) { ! coll( skol30, skol22,
% 13.14/13.54 skol28 ), perp( skol22, skol26, skol26, skol28 ) }.
% 13.14/13.54 parent1[0]: (7879) {G9,W4,D2,L1,V0,M1} R(7852,3067) { coll( skol30, skol22
% 13.14/13.54 , skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (20005) {G10,W5,D2,L1,V0,M1} S(1455);r(7879) { perp( skol22,
% 13.14/13.54 skol26, skol26, skol28 ) }.
% 13.14/13.54 parent0: (46803) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol26,
% 13.14/13.54 skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46804) {G3,W5,D2,L1,V0,M1} { para( skol22, skol26, skol22,
% 13.14/13.54 skol26 ) }.
% 13.14/13.54 parent0[0]: (279) {G2,W10,D2,L2,V4,M2} F(271) { ! perp( X, Y, Z, T ), para
% 13.14/13.54 ( X, Y, X, Y ) }.
% 13.14/13.54 parent1[0]: (20005) {G10,W5,D2,L1,V0,M1} S(1455);r(7879) { perp( skol22,
% 13.14/13.54 skol26, skol26, skol28 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol26
% 13.14/13.54 Z := skol26
% 13.14/13.54 T := skol28
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (20849) {G11,W5,D2,L1,V0,M1} R(20005,279) { para( skol22,
% 13.14/13.54 skol26, skol22, skol26 ) }.
% 13.14/13.54 parent0: (46804) {G3,W5,D2,L1,V0,M1} { para( skol22, skol26, skol22,
% 13.14/13.54 skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46805) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol22, skol26, X
% 13.14/13.54 , Y, skol22, skol26 ) }.
% 13.14/13.54 parent0[0]: (729) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 13.14/13.54 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 13.14/13.54 parent1[0]: (20849) {G11,W5,D2,L1,V0,M1} R(20005,279) { para( skol22,
% 13.14/13.54 skol26, skol22, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol26
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol26
% 13.14/13.54 U := X
% 13.14/13.54 W := Y
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (41118) {G12,W9,D2,L1,V2,M1} R(729,20849) { eqangle( X, Y,
% 13.14/13.54 skol22, skol26, X, Y, skol22, skol26 ) }.
% 13.14/13.54 parent0: (46805) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol22, skol26, X, Y
% 13.14/13.54 , skol22, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46806) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol22,
% 13.14/13.54 skol22 ), ! eqangle( skol22, X, skol22, skol26, skol22, X, skol22, skol26
% 13.14/13.54 ) }.
% 13.14/13.54 parent0[0]: (811) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 13.14/13.54 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 13.14/13.54 parent1[0]: (14465) {G14,W4,D2,L1,V0,M1} R(14415,447) { coll( skol22,
% 13.14/13.54 skol22, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol22
% 13.14/13.54 Z := skol26
% 13.14/13.54 T := X
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46807) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol22,
% 13.14/13.54 skol22 ) }.
% 13.14/13.54 parent0[1]: (46806) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol22,
% 13.14/13.54 skol22 ), ! eqangle( skol22, X, skol22, skol26, skol22, X, skol22, skol26
% 13.14/13.54 ) }.
% 13.14/13.54 parent1[0]: (41118) {G12,W9,D2,L1,V2,M1} R(729,20849) { eqangle( X, Y,
% 13.14/13.54 skol22, skol26, X, Y, skol22, skol26 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := X
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (45933) {G15,W5,D2,L1,V1,M1} R(811,14465);r(41118) { cyclic( X
% 13.14/13.54 , skol26, skol22, skol22 ) }.
% 13.14/13.54 parent0: (46807) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol22, skol22 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46808) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol22,
% 13.14/13.54 skol22 ) }.
% 13.14/13.54 parent0[1]: (349) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 13.14/13.54 cyclic( Y, X, T, Z ) }.
% 13.14/13.54 parent1[0]: (45933) {G15,W5,D2,L1,V1,M1} R(811,14465);r(41118) { cyclic( X
% 13.14/13.54 , skol26, skol22, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol26
% 13.14/13.54 Y := X
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (46094) {G16,W5,D2,L1,V1,M1} R(45933,349) { cyclic( skol26, X
% 13.14/13.54 , skol22, skol22 ) }.
% 13.14/13.54 parent0: (46808) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol22, skol22 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46809) {G3,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol22,
% 13.14/13.54 skol22 ) }.
% 13.14/13.54 parent0[0]: (383) {G2,W10,D2,L2,V4,M2} F(371) { ! cyclic( X, Y, Z, T ),
% 13.14/13.54 cyclic( Z, Y, T, T ) }.
% 13.14/13.54 parent1[0]: (46094) {G16,W5,D2,L1,V1,M1} R(45933,349) { cyclic( skol26, X,
% 13.14/13.54 skol22, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol26
% 13.14/13.54 Y := X
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (46106) {G17,W5,D2,L1,V1,M1} R(46094,383) { cyclic( skol22, X
% 13.14/13.54 , skol22, skol22 ) }.
% 13.14/13.54 parent0: (46809) {G3,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol22, skol22 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46810) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, X,
% 13.14/13.54 skol22 ) }.
% 13.14/13.54 parent0[1]: (347) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 13.14/13.54 cyclic( Y, Z, X, T ) }.
% 13.14/13.54 parent1[0]: (46106) {G17,W5,D2,L1,V1,M1} R(46094,383) { cyclic( skol22, X,
% 13.14/13.54 skol22, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol22
% 13.14/13.54 Z := X
% 13.14/13.54 T := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (46128) {G18,W5,D2,L1,V1,M1} R(46106,347) { cyclic( skol22,
% 13.14/13.54 skol22, X, skol22 ) }.
% 13.14/13.54 parent0: (46810) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, X, skol22 )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46811) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, skol22,
% 13.14/13.54 X ) }.
% 13.14/13.54 parent0[0]: (338) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 13.14/13.54 cyclic( X, Z, T, Y ) }.
% 13.14/13.54 parent1[0]: (46106) {G17,W5,D2,L1,V1,M1} R(46094,383) { cyclic( skol22, X,
% 13.14/13.54 skol22, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := X
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (46129) {G18,W5,D2,L1,V1,M1} R(46106,338) { cyclic( skol22,
% 13.14/13.54 skol22, skol22, X ) }.
% 13.14/13.54 parent0: (46811) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, skol22, X )
% 13.14/13.54 }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46813) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol22, skol22,
% 13.14/13.54 skol22, X ), cyclic( skol22, skol22, X, Y ) }.
% 13.14/13.54 parent0[2]: (378) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 13.14/13.54 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 13.14/13.54 parent1[0]: (46128) {G18,W5,D2,L1,V1,M1} R(46106,347) { cyclic( skol22,
% 13.14/13.54 skol22, X, skol22 ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 Y := skol22
% 13.14/13.54 Z := skol22
% 13.14/13.54 T := X
% 13.14/13.54 U := Y
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := Y
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46814) {G3,W5,D2,L1,V2,M1} { cyclic( skol22, skol22, X, Y )
% 13.14/13.54 }.
% 13.14/13.54 parent0[0]: (46813) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol22, skol22,
% 13.14/13.54 skol22, X ), cyclic( skol22, skol22, X, Y ) }.
% 13.14/13.54 parent1[0]: (46129) {G18,W5,D2,L1,V1,M1} R(46106,338) { cyclic( skol22,
% 13.14/13.54 skol22, skol22, X ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := X
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (46134) {G19,W5,D2,L1,V2,M1} R(46128,378);r(46129) { cyclic(
% 13.14/13.54 skol22, skol22, X, Y ) }.
% 13.14/13.54 parent0: (46814) {G3,W5,D2,L1,V2,M1} { cyclic( skol22, skol22, X, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := X
% 13.14/13.54 Y := Y
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 0 ==> 0
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46815) {G11,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol22,
% 13.14/13.54 skol23, skol24 ) }.
% 13.14/13.54 parent0[0]: (387) {G10,W10,D2,L2,V1,M2} R(386,16) { ! cyclic( X, skol22,
% 13.14/13.54 skol23, skol20 ), ! cyclic( X, skol22, skol23, skol24 ) }.
% 13.14/13.54 parent1[0]: (46134) {G19,W5,D2,L1,V2,M1} R(46128,378);r(46129) { cyclic(
% 13.14/13.54 skol22, skol22, X, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 X := skol22
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol23
% 13.14/13.54 Y := skol20
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 resolution: (46817) {G12,W0,D0,L0,V0,M0} { }.
% 13.14/13.54 parent0[0]: (46815) {G11,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol22,
% 13.14/13.54 skol23, skol24 ) }.
% 13.14/13.54 parent1[0]: (46134) {G19,W5,D2,L1,V2,M1} R(46128,378);r(46129) { cyclic(
% 13.14/13.54 skol22, skol22, X, Y ) }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 substitution1:
% 13.14/13.54 X := skol23
% 13.14/13.54 Y := skol24
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 subsumption: (46152) {G20,W0,D0,L0,V0,M0} R(46134,387);r(46134) { }.
% 13.14/13.54 parent0: (46817) {G12,W0,D0,L0,V0,M0} { }.
% 13.14/13.54 substitution0:
% 13.14/13.54 end
% 13.14/13.54 permutation0:
% 13.14/13.54 end
% 13.14/13.54
% 13.14/13.54 Proof check complete!
% 13.14/13.54
% 13.14/13.54 Memory use:
% 13.14/13.54
% 13.14/13.54 space for terms: 649171
% 13.14/13.54 space for clauses: 2008405
% 13.14/13.54
% 13.14/13.54
% 13.14/13.54 clauses generated: 355636
% 13.14/13.54 clauses kept: 46153
% 13.14/13.54 clauses selected: 2619
% 13.14/13.54 clauses deleted: 6102
% 13.14/13.54 clauses inuse deleted: 86
% 13.14/13.54
% 13.14/13.54 subsentry: 18469301
% 13.14/13.54 literals s-matched: 11388262
% 13.14/13.54 literals matched: 6653856
% 13.14/13.54 full subsumption: 1936911
% 13.14/13.54
% 13.14/13.54 checksum: -825257062
% 13.14/13.54
% 13.14/13.54
% 13.14/13.54 Bliksem ended
%------------------------------------------------------------------------------