%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO547+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 02:54:38 EDT 2022
% Result : Theorem 1.73s 2.09s
% Output : Refutation 1.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO547+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 03:56:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.75/1.14 *** allocated 10000 integers for termspace/termends
% 0.75/1.14 *** allocated 10000 integers for clauses
% 0.75/1.14 *** allocated 10000 integers for justifications
% 0.75/1.14 Bliksem 1.12
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Automatic Strategy Selection
% 0.75/1.14
% 0.75/1.14 *** allocated 15000 integers for termspace/termends
% 0.75/1.14
% 0.75/1.14 Clauses:
% 0.75/1.14
% 0.75/1.14 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.75/1.14 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.75/1.14 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.75/1.14 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.75/1.14 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.75/1.14 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.14 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.75/1.14 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.75/1.14 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.14 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.75/1.14 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.75/1.14 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.75/1.14 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.75/1.14 ( X, Y, Z, T ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.75/1.14 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.75/1.14 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.14 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.75/1.14 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.75/1.14 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.75/1.14 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.14 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.75/1.14 ( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.75/1.14 ( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.75/1.14 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.75/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.75/1.14 T ) }.
% 0.75/1.14 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.75/1.14 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.75/1.14 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.75/1.14 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.75/1.14 ) }.
% 0.75/1.14 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.75/1.14 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.75/1.14 }.
% 0.75/1.14 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.75/1.14 Z, Y ) }.
% 0.75/1.14 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.75/1.14 X, Z ) }.
% 0.75/1.14 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.75/1.14 U ) }.
% 0.75/1.14 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.75/1.14 , Z ), midp( Z, X, Y ) }.
% 0.75/1.14 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.75/1.14 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.75/1.14 Z, Y ) }.
% 0.75/1.14 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.75/1.14 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.75/1.14 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.75/1.14 ( Y, X, X, Z ) }.
% 0.75/1.14 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.75/1.14 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.75/1.14 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.75/1.14 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.75/1.14 , W ) }.
% 0.75/1.14 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.75/1.14 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.75/1.14 , Y ) }.
% 0.75/1.14 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.75/1.14 , X, Z, U, Y, Y, T ) }.
% 0.75/1.14 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.75/1.14 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.75/1.14 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.75/1.14 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.75/1.14 .
% 0.75/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.75/1.14 , Z, T ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.75/1.14 , Z, T ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.75/1.14 , Z, T ) }.
% 0.75/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.75/1.14 , W, Z, T ), Z, T ) }.
% 0.75/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.75/1.14 , Y, Z, T ), X, Y ) }.
% 0.75/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.75/1.14 , W, Z, T ), Z, T ) }.
% 0.75/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.14 skol2( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.75/1.14 , W, Z, T ), Z, T ) }.
% 0.75/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.14 skol3( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.75/1.14 , T ) }.
% 0.75/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.75/1.14 ) ) }.
% 0.75/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.75/1.14 skol5( W, Y, Z, T ) ) }.
% 0.75/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.75/1.14 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.75/1.14 , X, T ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.75/1.14 W, X, Z ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.75/1.14 , Y, T ) }.
% 0.75/1.14 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.75/1.14 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.75/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.14 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.75/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.14 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.75/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.75/1.14 Z, T ) ) }.
% 0.75/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.75/1.14 , T ) ) }.
% 0.75/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.75/1.14 , X, Y ) }.
% 0.75/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.75/1.14 ) }.
% 0.75/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.75/1.14 , Y ) }.
% 0.75/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.75/1.14 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.75/1.14 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.75/1.14 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.75/1.14 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 1.73/2.09 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.73/2.09 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 1.73/2.09 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.73/2.09 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 1.73/2.09 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.73/2.09 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 1.73/2.09 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 1.73/2.09 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 1.73/2.09 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 1.73/2.09 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 1.73/2.09 skol14( X, Y, Z ), X, Y, Z ) }.
% 1.73/2.09 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 1.73/2.09 X, Y, Z ) }.
% 1.73/2.09 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 1.73/2.09 }.
% 1.73/2.09 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 1.73/2.09 ) }.
% 1.73/2.09 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 1.73/2.09 skol17( X, Y ), X, Y ) }.
% 1.73/2.09 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 1.73/2.09 }.
% 1.73/2.09 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 1.73/2.09 ) }.
% 1.73/2.09 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.73/2.09 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 1.73/2.09 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.73/2.09 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 1.73/2.09 { circle( skol27, skol24, skol25, skol26 ) }.
% 1.73/2.09 { circle( skol27, skol24, skol28, skol29 ) }.
% 1.73/2.09 { perp( skol20, skol28, skol25, skol26 ) }.
% 1.73/2.09 { coll( skol20, skol25, skol26 ) }.
% 1.73/2.09 { perp( skol22, skol28, skol24, skol26 ) }.
% 1.73/2.09 { coll( skol22, skol24, skol26 ) }.
% 1.73/2.09 { perp( skol23, skol28, skol24, skol25 ) }.
% 1.73/2.09 { coll( skol23, skol24, skol25 ) }.
% 1.73/2.09 { ! coll( skol20, skol22, skol23 ) }.
% 1.73/2.09
% 1.73/2.09 percentage equality = 0.008746, percentage horn = 0.928000
% 1.73/2.09 This is a problem with some equality
% 1.73/2.09
% 1.73/2.09
% 1.73/2.09
% 1.73/2.09 Options Used:
% 1.73/2.09
% 1.73/2.09 useres = 1
% 1.73/2.09 useparamod = 1
% 1.73/2.09 useeqrefl = 1
% 1.73/2.09 useeqfact = 1
% 1.73/2.09 usefactor = 1
% 1.73/2.09 usesimpsplitting = 0
% 1.73/2.09 usesimpdemod = 5
% 1.73/2.09 usesimpres = 3
% 1.73/2.09
% 1.73/2.09 resimpinuse = 1000
% 1.73/2.09 resimpclauses = 20000
% 1.73/2.09 substype = eqrewr
% 1.73/2.09 backwardsubs = 1
% 1.73/2.09 selectoldest = 5
% 1.73/2.09
% 1.73/2.09 litorderings [0] = split
% 1.73/2.09 litorderings [1] = extend the termordering, first sorting on arguments
% 1.73/2.09
% 1.73/2.09 termordering = kbo
% 1.73/2.09
% 1.73/2.09 litapriori = 0
% 1.73/2.09 termapriori = 1
% 1.73/2.09 litaposteriori = 0
% 1.73/2.09 termaposteriori = 0
% 1.73/2.09 demodaposteriori = 0
% 1.73/2.09 ordereqreflfact = 0
% 1.73/2.09
% 1.73/2.09 litselect = negord
% 1.73/2.09
% 1.73/2.09 maxweight = 15
% 1.73/2.09 maxdepth = 30000
% 1.73/2.09 maxlength = 115
% 1.73/2.09 maxnrvars = 195
% 1.73/2.09 excuselevel = 1
% 1.73/2.09 increasemaxweight = 1
% 1.73/2.09
% 1.73/2.09 maxselected = 10000000
% 1.73/2.09 maxnrclauses = 10000000
% 1.73/2.09
% 1.73/2.09 showgenerated = 0
% 1.73/2.09 showkept = 0
% 1.73/2.09 showselected = 0
% 1.73/2.09 showdeleted = 0
% 1.73/2.09 showresimp = 1
% 1.73/2.09 showstatus = 2000
% 1.73/2.09
% 1.73/2.09 prologoutput = 0
% 1.73/2.09 nrgoals = 5000000
% 1.73/2.09 totalproof = 1
% 1.73/2.09
% 1.73/2.09 Symbols occurring in the translation:
% 1.73/2.09
% 1.73/2.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.73/2.09 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 1.73/2.09 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 1.73/2.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.73/2.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.73/2.09 coll [38, 3] (w:1, o:67, a:1, s:1, b:0),
% 1.73/2.09 para [40, 4] (w:1, o:75, a:1, s:1, b:0),
% 1.73/2.09 perp [43, 4] (w:1, o:76, a:1, s:1, b:0),
% 1.73/2.09 midp [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 1.73/2.09 cong [47, 4] (w:1, o:77, a:1, s:1, b:0),
% 1.73/2.09 circle [48, 4] (w:1, o:78, a:1, s:1, b:0),
% 1.73/2.09 cyclic [49, 4] (w:1, o:79, a:1, s:1, b:0),
% 1.73/2.09 eqangle [54, 8] (w:1, o:94, a:1, s:1, b:0),
% 1.73/2.09 eqratio [57, 8] (w:1, o:95, a:1, s:1, b:0),
% 1.73/2.09 simtri [59, 6] (w:1, o:91, a:1, s:1, b:0),
% 1.73/2.09 contri [60, 6] (w:1, o:92, a:1, s:1, b:0),
% 1.73/2.09 alpha1 [65, 3] (w:1, o:69, a:1, s:1, b:1),
% 1.73/2.09 alpha2 [66, 4] (w:1, o:80, a:1, s:1, b:1),
% 1.73/2.09 skol1 [67, 4] (w:1, o:81, a:1, s:1, b:1),
% 1.73/2.09 skol2 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 1.73/2.09 skol3 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 1.73/2.09 skol4 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 1.73/2.09 skol5 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 1.73/2.09 skol6 [72, 6] (w:1, o:93, a:1, s:1, b:1),
% 1.73/2.09 skol7 [73, 2] (w:1, o:63, a:1, s:1, b:1),
% 1.73/2.09 skol8 [74, 4] (w:1, o:88, a:1, s:1, b:1),
% 1.73/2.09 skol9 [75, 4] (w:1, o:89, a:1, s:1, b:1),
% 1.73/2.09 skol10 [76, 3] (w:1, o:70, a:1, s:1, b:1),
% 1.73/2.09 skol11 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 1.73/2.09 skol12 [78, 2] (w:1, o:64, a:1, s:1, b:1),
% 1.73/2.09 skol13 [79, 5] (w:1, o:90, a:1, s:1, b:1),
% 1.73/2.09 skol14 [80, 3] (w:1, o:72, a:1, s:1, b:1),
% 1.73/2.09 skol15 [81, 3] (w:1, o:73, a:1, s:1, b:1),
% 1.73/2.09 skol16 [82, 3] (w:1, o:74, a:1, s:1, b:1),
% 1.73/2.09 skol17 [83, 2] (w:1, o:65, a:1, s:1, b:1),
% 1.73/2.09 skol18 [84, 2] (w:1, o:66, a:1, s:1, b:1),
% 1.73/2.09 skol19 [85, 4] (w:1, o:82, a:1, s:1, b:1),
% 1.73/2.09 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 1.73/2.09 skol21 [87, 4] (w:1, o:84, a:1, s:1, b:1),
% 1.73/2.09 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 1.73/2.09 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 1.73/2.09 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 1.73/2.09 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 1.73/2.09 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 1.73/2.09 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 1.73/2.09 skol28 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 1.73/2.09 skol29 [95, 0] (w:1, o:33, a:1, s:1, b:1).
% 1.73/2.09
% 1.73/2.09
% 1.73/2.09 Starting Search:
% 1.73/2.09
% 1.73/2.09 *** allocated 15000 integers for clauses
% 1.73/2.09 *** allocated 22500 integers for clauses
% 1.73/2.09 *** allocated 33750 integers for clauses
% 1.73/2.09 *** allocated 50625 integers for clauses
% 1.73/2.09 *** allocated 22500 integers for termspace/termends
% 1.73/2.09 *** allocated 75937 integers for clauses
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 *** allocated 33750 integers for termspace/termends
% 1.73/2.09 *** allocated 113905 integers for clauses
% 1.73/2.09 *** allocated 50625 integers for termspace/termends
% 1.73/2.09
% 1.73/2.09 Intermediate Status:
% 1.73/2.09 Generated: 13476
% 1.73/2.09 Kept: 2019
% 1.73/2.09 Inuse: 331
% 1.73/2.09 Deleted: 1
% 1.73/2.09 Deletedinuse: 1
% 1.73/2.09
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 *** allocated 170857 integers for clauses
% 1.73/2.09 *** allocated 75937 integers for termspace/termends
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 *** allocated 256285 integers for clauses
% 1.73/2.09 *** allocated 113905 integers for termspace/termends
% 1.73/2.09
% 1.73/2.09 Intermediate Status:
% 1.73/2.09 Generated: 25928
% 1.73/2.09 Kept: 4160
% 1.73/2.09 Inuse: 471
% 1.73/2.09 Deleted: 1
% 1.73/2.09 Deletedinuse: 1
% 1.73/2.09
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 *** allocated 384427 integers for clauses
% 1.73/2.09 *** allocated 170857 integers for termspace/termends
% 1.73/2.09
% 1.73/2.09 Intermediate Status:
% 1.73/2.09 Generated: 38056
% 1.73/2.09 Kept: 6185
% 1.73/2.09 Inuse: 546
% 1.73/2.09 Deleted: 1
% 1.73/2.09 Deletedinuse: 1
% 1.73/2.09
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 *** allocated 576640 integers for clauses
% 1.73/2.09
% 1.73/2.09 Intermediate Status:
% 1.73/2.09 Generated: 60497
% 1.73/2.09 Kept: 8281
% 1.73/2.09 Inuse: 739
% 1.73/2.09 Deleted: 3
% 1.73/2.09 Deletedinuse: 1
% 1.73/2.09
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 *** allocated 256285 integers for termspace/termends
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09
% 1.73/2.09 Intermediate Status:
% 1.73/2.09 Generated: 75295
% 1.73/2.09 Kept: 10284
% 1.73/2.09 Inuse: 827
% 1.73/2.09 Deleted: 46
% 1.73/2.09 Deletedinuse: 43
% 1.73/2.09
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 Resimplifying inuse:
% 1.73/2.09 Done
% 1.73/2.09
% 1.73/2.09 *** allocated 864960 integers for clauses
% 1.73/2.09
% 1.73/2.09 Bliksems!, er is een bewijs:
% 1.73/2.09 % SZS status Theorem
% 1.73/2.09 % SZS output start Refutation
% 1.73/2.09
% 1.73/2.09 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 1.73/2.09 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 1.73/2.09 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 1.73/2.09 , Z, X ) }.
% 1.73/2.09 (119) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol25, skol26 ) }.
% 1.73/2.09 (121) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol26 ) }.
% 1.73/2.09 (123) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol25 ) }.
% 1.73/2.09 (124) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol22, skol23 ) }.
% 1.73/2.09 (162) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol20, skol26, skol25 ) }.
% 1.73/2.09 (163) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol22, skol26, skol24 ) }.
% 1.73/2.09 (164) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol23, skol25, skol24 ) }.
% 1.73/2.09 (165) {G1,W4,D2,L1,V0,M1} R(0,124) { ! coll( skol20, skol23, skol22 ) }.
% 1.73/2.09 (166) {G2,W4,D2,L1,V0,M1} R(1,165) { ! coll( skol23, skol20, skol22 ) }.
% 1.73/2.09 (167) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol25, skol23, skol24 ) }.
% 1.73/2.09 (168) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol26, skol22, skol24 ) }.
% 1.73/2.09 (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 1.73/2.09 (176) {G3,W4,D2,L1,V0,M1} R(166,0) { ! coll( skol23, skol22, skol20 ) }.
% 1.73/2.09 (177) {G4,W4,D2,L1,V0,M1} R(176,1) { ! coll( skol22, skol23, skol20 ) }.
% 1.73/2.09 (182) {G3,W8,D2,L2,V1,M2} R(2,167) { ! coll( skol25, skol23, X ), coll( X,
% 1.73/2.09 skol24, skol25 ) }.
% 1.73/2.09 (183) {G5,W8,D2,L2,V1,M2} R(2,177) { ! coll( skol20, X, skol22 ), ! coll(
% 1.73/2.09 skol20, X, skol23 ) }.
% 1.73/2.09 (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 1.73/2.09 coll( Z, X, T ) }.
% 1.73/2.09 (196) {G1,W8,D2,L2,V1,M2} R(2,119) { ! coll( skol20, skol25, X ), coll(
% 1.73/2.09 skol26, X, skol20 ) }.
% 1.73/2.09 (203) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 1.73/2.09 (213) {G3,W4,D2,L1,V0,M1} R(168,0) { coll( skol26, skol24, skol22 ) }.
% 1.73/2.09 (214) {G4,W8,D2,L2,V1,M2} R(213,2) { ! coll( skol26, skol24, X ), coll(
% 1.73/2.09 skol22, X, skol26 ) }.
% 1.73/2.09 (258) {G3,W12,D2,L3,V4,M3} R(203,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 1.73/2.09 coll( X, Z, T ) }.
% 1.73/2.09 (265) {G3,W4,D2,L1,V0,M1} R(203,162) { coll( skol25, skol20, skol25 ) }.
% 1.73/2.09 (269) {G3,W4,D2,L1,V0,M1} R(203,123) { coll( skol25, skol23, skol25 ) }.
% 1.73/2.09 (270) {G4,W8,D2,L2,V3,M2} F(258) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 1.73/2.09 (439) {G4,W4,D2,L1,V0,M1} R(265,0) { coll( skol25, skol25, skol20 ) }.
% 1.73/2.09 (472) {G4,W4,D2,L1,V0,M1} R(269,0) { coll( skol25, skol25, skol23 ) }.
% 1.73/2.09 (474) {G5,W8,D2,L2,V1,M2} R(472,2) { ! coll( skol25, skol25, X ), coll(
% 1.73/2.09 skol23, X, skol25 ) }.
% 1.73/2.09 (584) {G5,W8,D2,L2,V3,M2} R(270,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 1.73/2.09 (590) {G6,W8,D2,L2,V3,M2} R(584,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 1.73/2.09 (597) {G7,W8,D2,L2,V3,M2} R(590,590) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 1.73/2.09 }.
% 1.73/2.09 (600) {G8,W12,D2,L3,V4,M3} R(597,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 1.73/2.09 , coll( T, Y, X ) }.
% 1.73/2.09 (601) {G9,W8,D2,L2,V3,M2} F(600) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 1.73/2.09 (602) {G10,W8,D2,L2,V3,M2} R(601,597) { coll( X, X, Y ), ! coll( Y, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 (789) {G6,W4,D2,L1,V0,M1} R(474,439) { coll( skol23, skol20, skol25 ) }.
% 1.73/2.09 (795) {G7,W4,D2,L1,V0,M1} R(789,170) { coll( skol25, skol23, skol20 ) }.
% 1.73/2.09 (799) {G11,W4,D2,L1,V0,M1} R(789,602) { coll( skol20, skol20, skol23 ) }.
% 1.73/2.09 (9316) {G8,W4,D2,L1,V0,M1} R(182,795) { coll( skol20, skol24, skol25 ) }.
% 1.73/2.09 (9382) {G12,W4,D2,L1,V1,M1} R(183,602);r(799) { ! coll( skol22, skol20, X )
% 1.73/2.09 }.
% 1.73/2.09 (11720) {G9,W4,D2,L1,V0,M1} R(9316,0) { coll( skol20, skol25, skol24 ) }.
% 1.73/2.09 (11794) {G10,W4,D2,L1,V0,M1} R(11720,196) { coll( skol26, skol24, skol20 )
% 1.73/2.09 }.
% 1.73/2.09 (12272) {G13,W0,D0,L0,V0,M0} R(214,11794);r(9382) { }.
% 1.73/2.09
% 1.73/2.09
% 1.73/2.09 % SZS output end Refutation
% 1.73/2.09 found a proof!
% 1.73/2.09
% 1.73/2.09
% 1.73/2.09 Unprocessed initial clauses:
% 1.73/2.09
% 1.73/2.09 (12274) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 1.73/2.09 (12275) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 1.73/2.09 (12276) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 1.73/2.09 ( Y, Z, X ) }.
% 1.73/2.09 (12277) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 1.73/2.09 }.
% 1.73/2.09 (12278) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 1.73/2.09 }.
% 1.73/2.09 (12279) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 1.73/2.09 , para( X, Y, Z, T ) }.
% 1.73/2.09 (12280) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 1.73/2.09 }.
% 1.73/2.09 (12281) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 1.73/2.09 }.
% 1.73/2.09 (12282) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 1.73/2.09 , para( X, Y, Z, T ) }.
% 1.73/2.09 (12283) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 1.73/2.09 , perp( X, Y, Z, T ) }.
% 1.73/2.09 (12284) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 1.73/2.09 (12285) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 1.73/2.09 , circle( T, X, Y, Z ) }.
% 1.73/2.09 (12286) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 1.73/2.09 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 1.73/2.09 (12287) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 1.73/2.09 ) }.
% 1.73/2.09 (12288) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 1.73/2.09 ) }.
% 1.73/2.09 (12289) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 1.73/2.09 ) }.
% 1.73/2.09 (12290) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 1.73/2.09 T ), cyclic( X, Y, Z, T ) }.
% 1.73/2.09 (12291) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.73/2.09 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.73/2.09 (12292) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.73/2.09 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 1.73/2.09 (12293) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.73/2.09 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 1.73/2.09 (12294) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.73/2.09 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.73/2.09 (12295) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 1.73/2.09 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 1.73/2.09 V1 ) }.
% 1.73/2.09 (12296) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 1.73/2.09 }.
% 1.73/2.09 (12297) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 1.73/2.09 }.
% 1.73/2.09 (12298) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 1.73/2.09 , cong( X, Y, Z, T ) }.
% 1.73/2.09 (12299) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.73/2.09 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.73/2.09 (12300) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.73/2.09 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 1.73/2.09 (12301) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.73/2.09 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 1.73/2.09 (12302) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.73/2.09 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.73/2.09 (12303) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 1.73/2.09 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 1.73/2.09 V1 ) }.
% 1.73/2.09 (12304) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 1.73/2.09 , Z, T, U, W ) }.
% 1.73/2.09 (12305) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 1.73/2.09 , Z, T, U, W ) }.
% 1.73/2.09 (12306) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 1.73/2.09 , Z, T, U, W ) }.
% 1.73/2.09 (12307) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 1.73/2.09 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 1.73/2.09 (12308) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 1.73/2.09 , Z, T, U, W ) }.
% 1.73/2.09 (12309) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 1.73/2.09 , Z, T, U, W ) }.
% 1.73/2.09 (12310) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 1.73/2.09 , Z, T, U, W ) }.
% 1.73/2.09 (12311) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 1.73/2.09 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 1.73/2.09 (12312) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 1.73/2.09 X, Y, Z, T ) }.
% 1.73/2.09 (12313) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 1.73/2.09 Z, T, U, W ) }.
% 1.73/2.09 (12314) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 1.73/2.09 , T, X, T, Y ) }.
% 1.73/2.09 (12315) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 1.73/2.09 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 1.73/2.09 (12316) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 1.73/2.09 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 1.73/2.09 (12317) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 1.73/2.09 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 1.73/2.09 , Y, Z, T ) }.
% 1.73/2.09 (12318) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 1.73/2.09 ( Z, T, X, Y ) }.
% 1.73/2.09 (12319) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 1.73/2.09 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 1.73/2.09 (12320) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 1.73/2.09 X, Y, Z, Y ) }.
% 1.73/2.09 (12321) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 1.73/2.09 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 1.73/2.09 (12322) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 1.73/2.09 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 1.73/2.09 (12323) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 1.73/2.09 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 1.73/2.09 (12324) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 1.73/2.09 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 1.73/2.09 (12325) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 1.73/2.09 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 1.73/2.09 (12326) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 1.73/2.09 cong( X, Z, Y, Z ) }.
% 1.73/2.09 (12327) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 1.73/2.09 perp( X, Y, Y, Z ) }.
% 1.73/2.09 (12328) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 1.73/2.09 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 1.73/2.09 (12329) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 1.73/2.09 cong( Z, X, Z, Y ) }.
% 1.73/2.09 (12330) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 1.73/2.09 , perp( X, Y, Z, T ) }.
% 1.73/2.09 (12331) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 1.73/2.09 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 1.73/2.09 (12332) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 1.73/2.09 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 1.73/2.09 , W ) }.
% 1.73/2.09 (12333) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 1.73/2.09 , X, Z, T, U, T, W ) }.
% 1.73/2.09 (12334) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 1.73/2.09 , Y, Z, T, U, U, W ) }.
% 1.73/2.09 (12335) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 1.73/2.09 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 1.73/2.09 (12336) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 1.73/2.09 , T ) }.
% 1.73/2.09 (12337) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 1.73/2.09 ( X, Z, Y, T ) }.
% 1.73/2.09 (12338) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 1.73/2.09 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 1.73/2.09 (12339) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 1.73/2.09 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 1.73/2.09 (12340) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 1.73/2.09 (12341) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 1.73/2.09 midp( X, Y, Z ) }.
% 1.73/2.09 (12342) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 1.73/2.09 (12343) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 1.73/2.09 (12344) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 1.73/2.09 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 1.73/2.09 (12345) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 1.73/2.09 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 1.73/2.09 (12346) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 1.73/2.09 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 1.73/2.09 (12347) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 1.73/2.09 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 1.73/2.09 (12348) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 1.73/2.09 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 1.73/2.09 (12349) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 1.73/2.09 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 1.73/2.09 (12350) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 1.73/2.09 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 1.73/2.09 (12351) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 1.73/2.09 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 1.73/2.09 (12352) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 1.73/2.09 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 1.73/2.09 (12353) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 1.73/2.09 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 1.73/2.09 (12354) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 1.73/2.09 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 1.73/2.09 (12355) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 1.73/2.09 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 1.73/2.09 (12356) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 1.73/2.09 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 1.73/2.09 (12357) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 1.73/2.09 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 1.73/2.09 (12358) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 1.73/2.09 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 1.73/2.09 (12359) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 1.73/2.09 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 1.73/2.09 , T ) ) }.
% 1.73/2.09 (12360) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 1.73/2.09 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 1.73/2.09 (12361) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 1.73/2.09 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 1.73/2.09 (12362) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 1.73/2.09 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 1.73/2.09 (12363) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 1.73/2.09 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 1.73/2.09 (12364) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 1.73/2.09 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 1.73/2.09 ) }.
% 1.73/2.09 (12365) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 1.73/2.09 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 1.73/2.09 }.
% 1.73/2.09 (12366) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 1.73/2.09 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 1.73/2.09 (12367) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 1.73/2.09 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 1.73/2.09 (12368) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 1.73/2.09 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 1.73/2.09 (12369) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 1.73/2.09 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 1.73/2.09 (12370) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 1.73/2.09 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 1.73/2.09 (12371) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 1.73/2.09 , alpha1( X, Y, Z ) }.
% 1.73/2.09 (12372) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 1.73/2.09 ), Z, X ) }.
% 1.73/2.09 (12373) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 1.73/2.09 , Z ), Z, X ) }.
% 1.73/2.09 (12374) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 1.73/2.09 alpha1( X, Y, Z ) }.
% 1.73/2.09 (12375) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 1.73/2.09 ), X, X, Y ) }.
% 1.73/2.09 (12376) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 1.73/2.09 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 1.73/2.09 ) ) }.
% 1.73/2.09 (12377) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 1.73/2.09 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 1.73/2.09 (12378) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 1.73/2.09 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 1.73/2.09 }.
% 1.73/2.09 (12379) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 1.73/2.09 (12380) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 1.73/2.09 }.
% 1.73/2.09 (12381) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 1.73/2.09 alpha2( X, Y, Z, T ) }.
% 1.73/2.09 (12382) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 1.73/2.09 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 1.73/2.09 (12383) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 1.73/2.09 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 1.73/2.09 (12384) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 1.73/2.09 coll( skol16( W, Y, Z ), Y, Z ) }.
% 1.73/2.09 (12385) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 1.73/2.09 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.73/2.09 (12386) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 1.73/2.09 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 1.73/2.09 (12387) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 1.73/2.09 , coll( X, Y, skol18( X, Y ) ) }.
% 1.73/2.09 (12388) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 1.73/2.09 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 1.73/2.09 (12389) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 1.73/2.09 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 1.73/2.09 }.
% 1.73/2.09 (12390) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 1.73/2.09 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 1.73/2.09 }.
% 1.73/2.09 (12391) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol24, skol25, skol26 ) }.
% 1.73/2.09 (12392) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol24, skol28, skol29 ) }.
% 1.73/2.09 (12393) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol28, skol25, skol26 ) }.
% 1.73/2.09 (12394) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 ) }.
% 1.73/2.09 (12395) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol28, skol24, skol26 ) }.
% 1.73/2.09 (12396) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol26 ) }.
% 1.73/2.09 (12397) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol28, skol24, skol25 ) }.
% 1.73/2.09 (12398) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol25 ) }.
% 1.73/2.09 (12399) {G0,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol23 ) }.
% 1.73/2.09
% 1.73/2.09
% 1.73/2.09 Total Proof:
% 1.73/2.09
% 1.73/2.09 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 parent0: (12274) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 parent0: (12275) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 1.73/2.09 Z ), coll( Y, Z, X ) }.
% 1.73/2.09 parent0: (12276) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.73/2.09 ), coll( Y, Z, X ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 T := T
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 2 ==> 2
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol25, skol26 )
% 1.73/2.09 }.
% 1.73/2.09 parent0: (12394) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol26 )
% 1.73/2.09 }.
% 1.73/2.09 parent0: (12396) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol26 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol25 )
% 1.73/2.09 }.
% 1.73/2.09 parent0: (12398) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol25 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (124) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol22, skol23 )
% 1.73/2.09 }.
% 1.73/2.09 parent0: (12399) {G0,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol23 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12609) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol25, skol26 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol20
% 1.73/2.09 Y := skol25
% 1.73/2.09 Z := skol26
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (162) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol20, skol26,
% 1.73/2.09 skol25 ) }.
% 1.73/2.09 parent0: (12609) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12610) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol24 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol26 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol22
% 1.73/2.09 Y := skol24
% 1.73/2.09 Z := skol26
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (163) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol22, skol26,
% 1.73/2.09 skol24 ) }.
% 1.73/2.09 parent0: (12610) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol24 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12611) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol24 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol25 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol23
% 1.73/2.09 Y := skol24
% 1.73/2.09 Z := skol25
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (164) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol23, skol25,
% 1.73/2.09 skol24 ) }.
% 1.73/2.09 parent0: (12611) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol24 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12612) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol22 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (124) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol22, skol23 )
% 1.73/2.09 }.
% 1.73/2.09 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := skol20
% 1.73/2.09 Y := skol23
% 1.73/2.09 Z := skol22
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (165) {G1,W4,D2,L1,V0,M1} R(0,124) { ! coll( skol20, skol23,
% 1.73/2.09 skol22 ) }.
% 1.73/2.09 parent0: (12612) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol22 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12613) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol20, skol22 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (165) {G1,W4,D2,L1,V0,M1} R(0,124) { ! coll( skol20, skol23,
% 1.73/2.09 skol22 ) }.
% 1.73/2.09 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := skol23
% 1.73/2.09 Y := skol20
% 1.73/2.09 Z := skol22
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (166) {G2,W4,D2,L1,V0,M1} R(1,165) { ! coll( skol23, skol20,
% 1.73/2.09 skol22 ) }.
% 1.73/2.09 parent0: (12613) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol20, skol22 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12614) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol24 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 parent1[0]: (164) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol23, skol25,
% 1.73/2.09 skol24 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol23
% 1.73/2.09 Y := skol25
% 1.73/2.09 Z := skol24
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (167) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol25, skol23,
% 1.73/2.09 skol24 ) }.
% 1.73/2.09 parent0: (12614) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol24 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12615) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol24 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 parent1[0]: (163) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol22, skol26,
% 1.73/2.09 skol24 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol22
% 1.73/2.09 Y := skol26
% 1.73/2.09 Z := skol24
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (168) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol26, skol22,
% 1.73/2.09 skol24 ) }.
% 1.73/2.09 parent0: (12615) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol24 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12616) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 1.73/2.09 ) }.
% 1.73/2.09 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Z
% 1.73/2.09 Z := Y
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 1.73/2.09 , Z, X ) }.
% 1.73/2.09 parent0: (12616) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := Y
% 1.73/2.09 Y := X
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12617) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol22, skol20 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (166) {G2,W4,D2,L1,V0,M1} R(1,165) { ! coll( skol23, skol20,
% 1.73/2.09 skol22 ) }.
% 1.73/2.09 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := skol23
% 1.73/2.09 Y := skol22
% 1.73/2.09 Z := skol20
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (176) {G3,W4,D2,L1,V0,M1} R(166,0) { ! coll( skol23, skol22,
% 1.73/2.09 skol20 ) }.
% 1.73/2.09 parent0: (12617) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol22, skol20 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12618) {G1,W4,D2,L1,V0,M1} { ! coll( skol22, skol23, skol20 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (176) {G3,W4,D2,L1,V0,M1} R(166,0) { ! coll( skol23, skol22,
% 1.73/2.09 skol20 ) }.
% 1.73/2.09 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := skol22
% 1.73/2.09 Y := skol23
% 1.73/2.09 Z := skol20
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (177) {G4,W4,D2,L1,V0,M1} R(176,1) { ! coll( skol22, skol23,
% 1.73/2.09 skol20 ) }.
% 1.73/2.09 parent0: (12618) {G1,W4,D2,L1,V0,M1} { ! coll( skol22, skol23, skol20 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12620) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol23, X ),
% 1.73/2.09 coll( X, skol24, skol25 ) }.
% 1.73/2.09 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.73/2.09 ), coll( Y, Z, X ) }.
% 1.73/2.09 parent1[0]: (167) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol25, skol23,
% 1.73/2.09 skol24 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol25
% 1.73/2.09 Y := X
% 1.73/2.09 Z := skol24
% 1.73/2.09 T := skol23
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (182) {G3,W8,D2,L2,V1,M2} R(2,167) { ! coll( skol25, skol23, X
% 1.73/2.09 ), coll( X, skol24, skol25 ) }.
% 1.73/2.09 parent0: (12620) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol23, X ), coll(
% 1.73/2.09 X, skol24, skol25 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12621) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, X, skol22 ), !
% 1.73/2.09 coll( skol20, X, skol23 ) }.
% 1.73/2.09 parent0[0]: (177) {G4,W4,D2,L1,V0,M1} R(176,1) { ! coll( skol22, skol23,
% 1.73/2.09 skol20 ) }.
% 1.73/2.09 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.73/2.09 ), coll( Y, Z, X ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := skol20
% 1.73/2.09 Y := skol22
% 1.73/2.09 Z := skol23
% 1.73/2.09 T := X
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (183) {G5,W8,D2,L2,V1,M2} R(2,177) { ! coll( skol20, X, skol22
% 1.73/2.09 ), ! coll( skol20, X, skol23 ) }.
% 1.73/2.09 parent0: (12621) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, X, skol22 ), ! coll
% 1.73/2.09 ( skol20, X, skol23 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12625) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 1.73/2.09 X ), ! coll( Z, T, Y ) }.
% 1.73/2.09 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.73/2.09 ), coll( Y, Z, X ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := Z
% 1.73/2.09 Y := X
% 1.73/2.09 Z := Y
% 1.73/2.09 T := T
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 1.73/2.09 ( X, Y, T ), coll( Z, X, T ) }.
% 1.73/2.09 parent0: (12625) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 1.73/2.09 , ! coll( Z, T, Y ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := Z
% 1.73/2.09 Y := T
% 1.73/2.09 Z := X
% 1.73/2.09 T := Y
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 2
% 1.73/2.09 1 ==> 0
% 1.73/2.09 2 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12627) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol25, X ),
% 1.73/2.09 coll( skol26, X, skol20 ) }.
% 1.73/2.09 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.73/2.09 ), coll( Y, Z, X ) }.
% 1.73/2.09 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol25, skol26 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol20
% 1.73/2.09 Y := skol26
% 1.73/2.09 Z := X
% 1.73/2.09 T := skol25
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (196) {G1,W8,D2,L2,V1,M2} R(2,119) { ! coll( skol20, skol25, X
% 1.73/2.09 ), coll( skol26, X, skol20 ) }.
% 1.73/2.09 parent0: (12627) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol25, X ), coll(
% 1.73/2.09 skol26, X, skol20 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 factor: (12629) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0, 1]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 1.73/2.09 coll( X, Y, T ), coll( Z, X, T ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 T := Z
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (203) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z
% 1.73/2.09 , X, Z ) }.
% 1.73/2.09 parent0: (12629) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12630) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol22 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 parent1[0]: (168) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol26, skol22,
% 1.73/2.09 skol24 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol26
% 1.73/2.09 Y := skol22
% 1.73/2.09 Z := skol24
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (213) {G3,W4,D2,L1,V0,M1} R(168,0) { coll( skol26, skol24,
% 1.73/2.09 skol22 ) }.
% 1.73/2.09 parent0: (12630) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol22 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12631) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol24, X ),
% 1.73/2.09 coll( skol22, X, skol26 ) }.
% 1.73/2.09 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.73/2.09 ), coll( Y, Z, X ) }.
% 1.73/2.09 parent1[0]: (213) {G3,W4,D2,L1,V0,M1} R(168,0) { coll( skol26, skol24,
% 1.73/2.09 skol22 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol26
% 1.73/2.09 Y := skol22
% 1.73/2.09 Z := X
% 1.73/2.09 T := skol24
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (214) {G4,W8,D2,L2,V1,M2} R(213,2) { ! coll( skol26, skol24, X
% 1.73/2.09 ), coll( skol22, X, skol26 ) }.
% 1.73/2.09 parent0: (12631) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol24, X ), coll(
% 1.73/2.09 skol22, X, skol26 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12633) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 1.73/2.09 X ), ! coll( Z, T, Y ) }.
% 1.73/2.09 parent0[0]: (203) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 1.73/2.09 X, Z ) }.
% 1.73/2.09 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.73/2.09 ), coll( Y, Z, X ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := Z
% 1.73/2.09 Y := X
% 1.73/2.09 Z := Y
% 1.73/2.09 T := T
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (258) {G3,W12,D2,L3,V4,M3} R(203,2) { coll( X, Y, X ), ! coll
% 1.73/2.09 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 1.73/2.09 parent0: (12633) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 1.73/2.09 , ! coll( Z, T, Y ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := Y
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := X
% 1.73/2.09 T := Z
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 2 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12635) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (203) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 1.73/2.09 X, Z ) }.
% 1.73/2.09 parent1[0]: (162) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol20, skol26,
% 1.73/2.09 skol25 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol20
% 1.73/2.09 Y := skol26
% 1.73/2.09 Z := skol25
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (265) {G3,W4,D2,L1,V0,M1} R(203,162) { coll( skol25, skol20,
% 1.73/2.09 skol25 ) }.
% 1.73/2.09 parent0: (12635) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12636) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol25 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (203) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 1.73/2.09 X, Z ) }.
% 1.73/2.09 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol25 )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol23
% 1.73/2.09 Y := skol24
% 1.73/2.09 Z := skol25
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (269) {G3,W4,D2,L1,V0,M1} R(203,123) { coll( skol25, skol23,
% 1.73/2.09 skol25 ) }.
% 1.73/2.09 parent0: (12636) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol25 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 factor: (12637) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 parent0[1, 2]: (258) {G3,W12,D2,L3,V4,M3} R(203,2) { coll( X, Y, X ), !
% 1.73/2.09 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 T := Y
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (270) {G4,W8,D2,L2,V3,M2} F(258) { coll( X, Y, X ), ! coll( X
% 1.73/2.09 , Z, Y ) }.
% 1.73/2.09 parent0: (12637) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12638) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 parent1[0]: (265) {G3,W4,D2,L1,V0,M1} R(203,162) { coll( skol25, skol20,
% 1.73/2.09 skol25 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol25
% 1.73/2.09 Y := skol20
% 1.73/2.09 Z := skol25
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (439) {G4,W4,D2,L1,V0,M1} R(265,0) { coll( skol25, skol25,
% 1.73/2.09 skol20 ) }.
% 1.73/2.09 parent0: (12638) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12639) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol23 )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 parent1[0]: (269) {G3,W4,D2,L1,V0,M1} R(203,123) { coll( skol25, skol23,
% 1.73/2.09 skol25 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol25
% 1.73/2.09 Y := skol23
% 1.73/2.09 Z := skol25
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (472) {G4,W4,D2,L1,V0,M1} R(269,0) { coll( skol25, skol25,
% 1.73/2.09 skol23 ) }.
% 1.73/2.09 parent0: (12639) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol23 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12640) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ),
% 1.73/2.09 coll( skol23, X, skol25 ) }.
% 1.73/2.09 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.73/2.09 ), coll( Y, Z, X ) }.
% 1.73/2.09 parent1[0]: (472) {G4,W4,D2,L1,V0,M1} R(269,0) { coll( skol25, skol25,
% 1.73/2.09 skol23 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := skol25
% 1.73/2.09 Y := skol23
% 1.73/2.09 Z := X
% 1.73/2.09 T := skol25
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (474) {G5,W8,D2,L2,V1,M2} R(472,2) { ! coll( skol25, skol25, X
% 1.73/2.09 ), coll( skol23, X, skol25 ) }.
% 1.73/2.09 parent0: (12640) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ), coll(
% 1.73/2.09 skol23, X, skol25 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12643) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 1.73/2.09 ) }.
% 1.73/2.09 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.73/2.09 }.
% 1.73/2.09 parent1[0]: (270) {G4,W8,D2,L2,V3,M2} F(258) { coll( X, Y, X ), ! coll( X,
% 1.73/2.09 Z, Y ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := X
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (584) {G5,W8,D2,L2,V3,M2} R(270,1) { ! coll( X, Y, Z ), coll(
% 1.73/2.09 Z, X, X ) }.
% 1.73/2.09 parent0: (12643) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Z
% 1.73/2.09 Z := Y
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 1
% 1.73/2.09 1 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12644) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 1.73/2.09 ) }.
% 1.73/2.09 parent0[0]: (584) {G5,W8,D2,L2,V3,M2} R(270,1) { ! coll( X, Y, Z ), coll( Z
% 1.73/2.09 , X, X ) }.
% 1.73/2.09 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Z
% 1.73/2.09 Z := Y
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (590) {G6,W8,D2,L2,V3,M2} R(584,0) { coll( X, Y, Y ), ! coll(
% 1.73/2.09 Y, X, Z ) }.
% 1.73/2.09 parent0: (12644) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := Y
% 1.73/2.09 Y := Z
% 1.73/2.09 Z := X
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12645) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 1.73/2.09 ) }.
% 1.73/2.09 parent0[1]: (590) {G6,W8,D2,L2,V3,M2} R(584,0) { coll( X, Y, Y ), ! coll( Y
% 1.73/2.09 , X, Z ) }.
% 1.73/2.09 parent1[0]: (590) {G6,W8,D2,L2,V3,M2} R(584,0) { coll( X, Y, Y ), ! coll( Y
% 1.73/2.09 , X, Z ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := X
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := Y
% 1.73/2.09 Y := X
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (597) {G7,W8,D2,L2,V3,M2} R(590,590) { ! coll( X, Y, Z ), coll
% 1.73/2.09 ( X, Y, Y ) }.
% 1.73/2.09 parent0: (12645) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 X := X
% 1.73/2.09 Y := Y
% 1.73/2.09 Z := Z
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 1
% 1.73/2.09 1 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (12649) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 1.73/2.09 X ), ! coll( X, Y, T ) }.
% 1.73/2.09 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.73/2.09 ), coll( Y, Z, X ) }.
% 1.73/2.09 parent1[1]: (597) {G7,W8,D2,L2,V3,M2} R(590,590) { ! coll( X, Y, Z ), coll
% 1.73/2.10 ( X, Y, Y ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := X
% 1.73/2.10 Y := Z
% 1.73/2.10 Z := Y
% 1.73/2.10 T := Y
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 X := X
% 1.73/2.10 Y := Y
% 1.73/2.10 Z := T
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (600) {G8,W12,D2,L3,V4,M3} R(597,2) { ! coll( X, Y, Z ), !
% 1.73/2.10 coll( X, Y, T ), coll( T, Y, X ) }.
% 1.73/2.10 parent0: (12649) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 1.73/2.10 , ! coll( X, Y, T ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := X
% 1.73/2.10 Y := Y
% 1.73/2.10 Z := T
% 1.73/2.10 T := Z
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 1
% 1.73/2.10 1 ==> 2
% 1.73/2.10 2 ==> 0
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 factor: (12652) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 1.73/2.10 }.
% 1.73/2.10 parent0[0, 1]: (600) {G8,W12,D2,L3,V4,M3} R(597,2) { ! coll( X, Y, Z ), !
% 1.73/2.10 coll( X, Y, T ), coll( T, Y, X ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := X
% 1.73/2.10 Y := Y
% 1.73/2.10 Z := Z
% 1.73/2.10 T := Z
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (601) {G9,W8,D2,L2,V3,M2} F(600) { ! coll( X, Y, Z ), coll( Z
% 1.73/2.10 , Y, X ) }.
% 1.73/2.10 parent0: (12652) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 1.73/2.10 }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := X
% 1.73/2.10 Y := Y
% 1.73/2.10 Z := Z
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 0
% 1.73/2.10 1 ==> 1
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12653) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 1.73/2.10 ) }.
% 1.73/2.10 parent0[0]: (601) {G9,W8,D2,L2,V3,M2} F(600) { ! coll( X, Y, Z ), coll( Z,
% 1.73/2.10 Y, X ) }.
% 1.73/2.10 parent1[1]: (597) {G7,W8,D2,L2,V3,M2} R(590,590) { ! coll( X, Y, Z ), coll
% 1.73/2.10 ( X, Y, Y ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := X
% 1.73/2.10 Y := Y
% 1.73/2.10 Z := Y
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 X := X
% 1.73/2.10 Y := Y
% 1.73/2.10 Z := Z
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (602) {G10,W8,D2,L2,V3,M2} R(601,597) { coll( X, X, Y ), !
% 1.73/2.10 coll( Y, X, Z ) }.
% 1.73/2.10 parent0: (12653) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 1.73/2.10 }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := Y
% 1.73/2.10 Y := X
% 1.73/2.10 Z := Z
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 0
% 1.73/2.10 1 ==> 1
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12654) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 )
% 1.73/2.10 }.
% 1.73/2.10 parent0[0]: (474) {G5,W8,D2,L2,V1,M2} R(472,2) { ! coll( skol25, skol25, X
% 1.73/2.10 ), coll( skol23, X, skol25 ) }.
% 1.73/2.10 parent1[0]: (439) {G4,W4,D2,L1,V0,M1} R(265,0) { coll( skol25, skol25,
% 1.73/2.10 skol20 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := skol20
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (789) {G6,W4,D2,L1,V0,M1} R(474,439) { coll( skol23, skol20,
% 1.73/2.10 skol25 ) }.
% 1.73/2.10 parent0: (12654) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 0
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12655) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol20 )
% 1.73/2.10 }.
% 1.73/2.10 parent0[1]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 1.73/2.10 Z, X ) }.
% 1.73/2.10 parent1[0]: (789) {G6,W4,D2,L1,V0,M1} R(474,439) { coll( skol23, skol20,
% 1.73/2.10 skol25 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := skol25
% 1.73/2.10 Y := skol23
% 1.73/2.10 Z := skol20
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (795) {G7,W4,D2,L1,V0,M1} R(789,170) { coll( skol25, skol23,
% 1.73/2.10 skol20 ) }.
% 1.73/2.10 parent0: (12655) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol20 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 0
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12656) {G7,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol23 )
% 1.73/2.10 }.
% 1.73/2.10 parent0[1]: (602) {G10,W8,D2,L2,V3,M2} R(601,597) { coll( X, X, Y ), ! coll
% 1.73/2.10 ( Y, X, Z ) }.
% 1.73/2.10 parent1[0]: (789) {G6,W4,D2,L1,V0,M1} R(474,439) { coll( skol23, skol20,
% 1.73/2.10 skol25 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := skol20
% 1.73/2.10 Y := skol23
% 1.73/2.10 Z := skol25
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (799) {G11,W4,D2,L1,V0,M1} R(789,602) { coll( skol20, skol20,
% 1.73/2.10 skol23 ) }.
% 1.73/2.10 parent0: (12656) {G7,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol23 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 0
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12657) {G4,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol25 )
% 1.73/2.10 }.
% 1.73/2.10 parent0[0]: (182) {G3,W8,D2,L2,V1,M2} R(2,167) { ! coll( skol25, skol23, X
% 1.73/2.10 ), coll( X, skol24, skol25 ) }.
% 1.73/2.10 parent1[0]: (795) {G7,W4,D2,L1,V0,M1} R(789,170) { coll( skol25, skol23,
% 1.73/2.10 skol20 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := skol20
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (9316) {G8,W4,D2,L1,V0,M1} R(182,795) { coll( skol20, skol24,
% 1.73/2.10 skol25 ) }.
% 1.73/2.10 parent0: (12657) {G4,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol25 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 0
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12658) {G6,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, skol23 )
% 1.73/2.10 , ! coll( skol22, skol20, X ) }.
% 1.73/2.10 parent0[0]: (183) {G5,W8,D2,L2,V1,M2} R(2,177) { ! coll( skol20, X, skol22
% 1.73/2.10 ), ! coll( skol20, X, skol23 ) }.
% 1.73/2.10 parent1[0]: (602) {G10,W8,D2,L2,V3,M2} R(601,597) { coll( X, X, Y ), ! coll
% 1.73/2.10 ( Y, X, Z ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := skol20
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 X := skol20
% 1.73/2.10 Y := skol22
% 1.73/2.10 Z := X
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12660) {G7,W4,D2,L1,V1,M1} { ! coll( skol22, skol20, X ) }.
% 1.73/2.10 parent0[0]: (12658) {G6,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, skol23 )
% 1.73/2.10 , ! coll( skol22, skol20, X ) }.
% 1.73/2.10 parent1[0]: (799) {G11,W4,D2,L1,V0,M1} R(789,602) { coll( skol20, skol20,
% 1.73/2.10 skol23 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := X
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (9382) {G12,W4,D2,L1,V1,M1} R(183,602);r(799) { ! coll( skol22
% 1.73/2.10 , skol20, X ) }.
% 1.73/2.10 parent0: (12660) {G7,W4,D2,L1,V1,M1} { ! coll( skol22, skol20, X ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := X
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 0
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12661) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol24 )
% 1.73/2.10 }.
% 1.73/2.10 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.73/2.10 }.
% 1.73/2.10 parent1[0]: (9316) {G8,W4,D2,L1,V0,M1} R(182,795) { coll( skol20, skol24,
% 1.73/2.10 skol25 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := skol20
% 1.73/2.10 Y := skol24
% 1.73/2.10 Z := skol25
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (11720) {G9,W4,D2,L1,V0,M1} R(9316,0) { coll( skol20, skol25,
% 1.73/2.10 skol24 ) }.
% 1.73/2.10 parent0: (12661) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol24 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 0
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12662) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol20 )
% 1.73/2.10 }.
% 1.73/2.10 parent0[0]: (196) {G1,W8,D2,L2,V1,M2} R(2,119) { ! coll( skol20, skol25, X
% 1.73/2.10 ), coll( skol26, X, skol20 ) }.
% 1.73/2.10 parent1[0]: (11720) {G9,W4,D2,L1,V0,M1} R(9316,0) { coll( skol20, skol25,
% 1.73/2.10 skol24 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := skol24
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (11794) {G10,W4,D2,L1,V0,M1} R(11720,196) { coll( skol26,
% 1.73/2.10 skol24, skol20 ) }.
% 1.73/2.10 parent0: (12662) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol20 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 0 ==> 0
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12663) {G5,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol26 )
% 1.73/2.10 }.
% 1.73/2.10 parent0[0]: (214) {G4,W8,D2,L2,V1,M2} R(213,2) { ! coll( skol26, skol24, X
% 1.73/2.10 ), coll( skol22, X, skol26 ) }.
% 1.73/2.10 parent1[0]: (11794) {G10,W4,D2,L1,V0,M1} R(11720,196) { coll( skol26,
% 1.73/2.10 skol24, skol20 ) }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := skol20
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 resolution: (12664) {G6,W0,D0,L0,V0,M0} { }.
% 1.73/2.10 parent0[0]: (9382) {G12,W4,D2,L1,V1,M1} R(183,602);r(799) { ! coll( skol22
% 1.73/2.10 , skol20, X ) }.
% 1.73/2.10 parent1[0]: (12663) {G5,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol26 )
% 1.73/2.10 }.
% 1.73/2.10 substitution0:
% 1.73/2.10 X := skol26
% 1.73/2.10 end
% 1.73/2.10 substitution1:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 subsumption: (12272) {G13,W0,D0,L0,V0,M0} R(214,11794);r(9382) { }.
% 1.73/2.10 parent0: (12664) {G6,W0,D0,L0,V0,M0} { }.
% 1.73/2.10 substitution0:
% 1.73/2.10 end
% 1.73/2.10 permutation0:
% 1.73/2.10 end
% 1.73/2.10
% 1.73/2.10 Proof check complete!
% 1.73/2.10
% 1.73/2.10 Memory use:
% 1.73/2.10
% 1.73/2.10 space for terms: 215799
% 1.73/2.10 space for clauses: 583746
% 1.73/2.10
% 1.73/2.10
% 1.73/2.10 clauses generated: 84000
% 1.73/2.10 clauses kept: 12273
% 1.73/2.10 clauses selected: 907
% 1.73/2.10 clauses deleted: 71
% 1.73/2.10 clauses inuse deleted: 57
% 1.73/2.10
% 1.73/2.10 subsentry: 1401009
% 1.73/2.10 literals s-matched: 979343
% 1.73/2.10 literals matched: 521497
% 1.73/2.10 full subsumption: 183849
% 1.73/2.10
% 1.73/2.10 checksum: 755334726
% 1.73/2.10
% 1.73/2.10
% 1.73/2.10 Bliksem ended
%------------------------------------------------------------------------------