%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO630+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 02:55:13 EDT 2022
% Result : Theorem 28.77s 29.17s
% Output : Refutation 28.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO630+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 17:02:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11 *** allocated 15000 integers for termspace/termends
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.71/1.11 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.71/1.11 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.71/1.11 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.71/1.11 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.71/1.11 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.11 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.71/1.11 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.71/1.11 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.11 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.71/1.11 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.71/1.11 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.71/1.11 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.71/1.11 ( X, Y, Z, T ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.71/1.11 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.71/1.11 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.11 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.71/1.11 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.71/1.11 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.71/1.11 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.11 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.71/1.11 ( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.71/1.11 ( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.71/1.11 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.71/1.11 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.71/1.11 T ) }.
% 0.71/1.11 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.71/1.11 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.71/1.11 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.71/1.11 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.71/1.11 ) }.
% 0.71/1.11 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.71/1.11 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.71/1.11 }.
% 0.71/1.11 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.71/1.11 Z, Y ) }.
% 0.71/1.11 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.71/1.11 X, Z ) }.
% 0.71/1.11 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.71/1.11 U ) }.
% 0.71/1.11 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.71/1.11 , Z ), midp( Z, X, Y ) }.
% 0.71/1.11 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.71/1.11 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.71/1.11 Z, Y ) }.
% 0.71/1.11 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.71/1.11 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.71/1.11 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.71/1.11 ( Y, X, X, Z ) }.
% 0.71/1.11 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.71/1.11 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.71/1.11 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.71/1.11 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.71/1.11 , W ) }.
% 0.71/1.11 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.71/1.11 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.71/1.11 , Y ) }.
% 0.71/1.11 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.71/1.11 , X, Z, U, Y, Y, T ) }.
% 0.71/1.11 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.71/1.11 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.71/1.11 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.71/1.11 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.71/1.11 .
% 0.71/1.11 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.71/1.11 , Z, T ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.71/1.11 , Z, T ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.71/1.11 , Z, T ) }.
% 0.71/1.11 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.71/1.11 , W, Z, T ), Z, T ) }.
% 0.71/1.11 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.71/1.11 , Y, Z, T ), X, Y ) }.
% 0.71/1.11 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.71/1.11 , W, Z, T ), Z, T ) }.
% 0.71/1.11 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.11 skol2( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.71/1.11 , W, Z, T ), Z, T ) }.
% 0.71/1.11 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.11 skol3( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.71/1.11 , T ) }.
% 0.71/1.11 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.71/1.11 ) ) }.
% 0.71/1.11 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.71/1.11 skol5( W, Y, Z, T ) ) }.
% 0.71/1.11 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.71/1.11 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.71/1.11 , X, T ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.71/1.11 W, X, Z ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.71/1.11 , Y, T ) }.
% 0.71/1.11 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.71/1.11 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.71/1.11 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.11 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.71/1.11 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.11 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.71/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.71/1.11 Z, T ) ) }.
% 0.71/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.71/1.11 , T ) ) }.
% 0.71/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.71/1.11 , X, Y ) }.
% 0.71/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.71/1.11 ) }.
% 0.71/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.71/1.11 , Y ) }.
% 0.71/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.71/1.11 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.71/1.11 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.71/1.11 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.71/1.11 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.36/3.73 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.36/3.73 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.36/3.73 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.36/3.73 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.36/3.73 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.36/3.73 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.36/3.73 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.36/3.73 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.36/3.73 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.36/3.73 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.36/3.73 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.36/3.73 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.36/3.73 X, Y, Z ) }.
% 3.36/3.73 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.36/3.73 }.
% 3.36/3.73 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.36/3.73 ) }.
% 3.36/3.73 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.36/3.73 skol17( X, Y ), X, Y ) }.
% 3.36/3.73 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.36/3.73 }.
% 3.36/3.73 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.36/3.73 ) }.
% 3.36/3.73 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.36/3.73 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.36/3.73 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.36/3.73 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.36/3.73 { circle( skol28, skol25, skol26, skol27 ) }.
% 3.36/3.73 { circle( skol28, skol25, skol29, skol30 ) }.
% 3.36/3.73 { circle( skol28, skol29, skol31, skol32 ) }.
% 3.36/3.73 { coll( skol31, skol29, skol28 ) }.
% 3.36/3.73 { perp( skol20, skol31, skol25, skol27 ) }.
% 3.36/3.73 { coll( skol20, skol25, skol27 ) }.
% 3.36/3.73 { perp( skol22, skol31, skol25, skol26 ) }.
% 3.36/3.73 { coll( skol22, skol25, skol26 ) }.
% 3.36/3.73 { perp( skol23, skol29, skol25, skol26 ) }.
% 3.36/3.73 { coll( skol23, skol25, skol26 ) }.
% 3.36/3.73 { perp( skol24, skol29, skol25, skol27 ) }.
% 3.36/3.73 { coll( skol24, skol25, skol27 ) }.
% 3.36/3.73 { ! perp( skol23, skol24, skol22, skol20 ) }.
% 3.36/3.73
% 3.36/3.73 percentage equality = 0.008646, percentage horn = 0.930233
% 3.36/3.73 This is a problem with some equality
% 3.36/3.73
% 3.36/3.73
% 3.36/3.73
% 3.36/3.73 Options Used:
% 3.36/3.73
% 3.36/3.73 useres = 1
% 3.36/3.73 useparamod = 1
% 3.36/3.73 useeqrefl = 1
% 3.36/3.73 useeqfact = 1
% 3.36/3.73 usefactor = 1
% 3.36/3.73 usesimpsplitting = 0
% 3.36/3.73 usesimpdemod = 5
% 3.36/3.73 usesimpres = 3
% 3.36/3.73
% 3.36/3.73 resimpinuse = 1000
% 3.36/3.73 resimpclauses = 20000
% 3.36/3.73 substype = eqrewr
% 3.36/3.73 backwardsubs = 1
% 3.36/3.73 selectoldest = 5
% 3.36/3.73
% 3.36/3.73 litorderings [0] = split
% 3.36/3.73 litorderings [1] = extend the termordering, first sorting on arguments
% 3.36/3.73
% 3.36/3.73 termordering = kbo
% 3.36/3.73
% 3.36/3.73 litapriori = 0
% 3.36/3.73 termapriori = 1
% 3.36/3.73 litaposteriori = 0
% 3.36/3.73 termaposteriori = 0
% 3.36/3.73 demodaposteriori = 0
% 3.36/3.73 ordereqreflfact = 0
% 3.36/3.73
% 3.36/3.73 litselect = negord
% 3.36/3.73
% 3.36/3.73 maxweight = 15
% 3.36/3.73 maxdepth = 30000
% 3.36/3.73 maxlength = 115
% 3.36/3.73 maxnrvars = 195
% 3.36/3.73 excuselevel = 1
% 3.36/3.73 increasemaxweight = 1
% 3.36/3.73
% 3.36/3.73 maxselected = 10000000
% 3.36/3.73 maxnrclauses = 10000000
% 3.36/3.73
% 3.36/3.73 showgenerated = 0
% 3.36/3.73 showkept = 0
% 3.36/3.73 showselected = 0
% 3.36/3.73 showdeleted = 0
% 3.36/3.73 showresimp = 1
% 3.36/3.73 showstatus = 2000
% 3.36/3.73
% 3.36/3.73 prologoutput = 0
% 3.36/3.73 nrgoals = 5000000
% 3.36/3.73 totalproof = 1
% 3.36/3.73
% 3.36/3.73 Symbols occurring in the translation:
% 3.36/3.73
% 3.36/3.73 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.36/3.73 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.36/3.73 ! [4, 1] (w:0, o:41, a:1, s:1, b:0),
% 3.36/3.73 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.36/3.73 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.36/3.73 coll [38, 3] (w:1, o:74, a:1, s:1, b:0),
% 3.36/3.73 para [40, 4] (w:1, o:82, a:1, s:1, b:0),
% 3.36/3.73 perp [43, 4] (w:1, o:83, a:1, s:1, b:0),
% 3.36/3.73 midp [45, 3] (w:1, o:75, a:1, s:1, b:0),
% 3.36/3.73 cong [47, 4] (w:1, o:84, a:1, s:1, b:0),
% 3.36/3.73 circle [48, 4] (w:1, o:85, a:1, s:1, b:0),
% 3.36/3.73 cyclic [49, 4] (w:1, o:86, a:1, s:1, b:0),
% 3.36/3.73 eqangle [54, 8] (w:1, o:101, a:1, s:1, b:0),
% 3.36/3.73 eqratio [57, 8] (w:1, o:102, a:1, s:1, b:0),
% 3.36/3.73 simtri [59, 6] (w:1, o:98, a:1, s:1, b:0),
% 3.36/3.73 contri [60, 6] (w:1, o:99, a:1, s:1, b:0),
% 3.36/3.73 alpha1 [69, 3] (w:1, o:76, a:1, s:1, b:1),
% 3.36/3.73 alpha2 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.36/3.73 skol1 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.36/3.73 skol2 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 3.36/3.73 skol3 [73, 4] (w:1, o:92, a:1, s:1, b:1),
% 28.77/29.17 skol4 [74, 4] (w:1, o:93, a:1, s:1, b:1),
% 28.77/29.17 skol5 [75, 4] (w:1, o:94, a:1, s:1, b:1),
% 28.77/29.17 skol6 [76, 6] (w:1, o:100, a:1, s:1, b:1),
% 28.77/29.17 skol7 [77, 2] (w:1, o:70, a:1, s:1, b:1),
% 28.77/29.17 skol8 [78, 4] (w:1, o:95, a:1, s:1, b:1),
% 28.77/29.17 skol9 [79, 4] (w:1, o:96, a:1, s:1, b:1),
% 28.77/29.17 skol10 [80, 3] (w:1, o:77, a:1, s:1, b:1),
% 28.77/29.17 skol11 [81, 3] (w:1, o:78, a:1, s:1, b:1),
% 28.77/29.17 skol12 [82, 2] (w:1, o:71, a:1, s:1, b:1),
% 28.77/29.17 skol13 [83, 5] (w:1, o:97, a:1, s:1, b:1),
% 28.77/29.17 skol14 [84, 3] (w:1, o:79, a:1, s:1, b:1),
% 28.77/29.17 skol15 [85, 3] (w:1, o:80, a:1, s:1, b:1),
% 28.77/29.17 skol16 [86, 3] (w:1, o:81, a:1, s:1, b:1),
% 28.77/29.17 skol17 [87, 2] (w:1, o:72, a:1, s:1, b:1),
% 28.77/29.17 skol18 [88, 2] (w:1, o:73, a:1, s:1, b:1),
% 28.77/29.17 skol19 [89, 4] (w:1, o:89, a:1, s:1, b:1),
% 28.77/29.17 skol20 [90, 0] (w:1, o:29, a:1, s:1, b:1),
% 28.77/29.17 skol21 [91, 4] (w:1, o:91, a:1, s:1, b:1),
% 28.77/29.17 skol22 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 28.77/29.17 skol23 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 28.77/29.17 skol24 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 28.77/29.17 skol25 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 28.77/29.17 skol26 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 28.77/29.17 skol27 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 28.77/29.17 skol28 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 28.77/29.17 skol29 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 28.77/29.17 skol30 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 28.77/29.17 skol31 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 28.77/29.17 skol32 [102, 0] (w:1, o:40, a:1, s:1, b:1).
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Starting Search:
% 28.77/29.17
% 28.77/29.17 *** allocated 15000 integers for clauses
% 28.77/29.17 *** allocated 22500 integers for clauses
% 28.77/29.17 *** allocated 33750 integers for clauses
% 28.77/29.17 *** allocated 50625 integers for clauses
% 28.77/29.17 *** allocated 22500 integers for termspace/termends
% 28.77/29.17 *** allocated 75937 integers for clauses
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 33750 integers for termspace/termends
% 28.77/29.17 *** allocated 113905 integers for clauses
% 28.77/29.17 *** allocated 50625 integers for termspace/termends
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 9304
% 28.77/29.17 Kept: 2017
% 28.77/29.17 Inuse: 321
% 28.77/29.17 Deleted: 0
% 28.77/29.17 Deletedinuse: 0
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 170857 integers for clauses
% 28.77/29.17 *** allocated 75937 integers for termspace/termends
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 256285 integers for clauses
% 28.77/29.17 *** allocated 113905 integers for termspace/termends
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 27540
% 28.77/29.17 Kept: 4042
% 28.77/29.17 Inuse: 466
% 28.77/29.17 Deleted: 1
% 28.77/29.17 Deletedinuse: 1
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 384427 integers for clauses
% 28.77/29.17 *** allocated 170857 integers for termspace/termends
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 42465
% 28.77/29.17 Kept: 6253
% 28.77/29.17 Inuse: 531
% 28.77/29.17 Deleted: 1
% 28.77/29.17 Deletedinuse: 1
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 576640 integers for clauses
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 58551
% 28.77/29.17 Kept: 8301
% 28.77/29.17 Inuse: 685
% 28.77/29.17 Deleted: 2
% 28.77/29.17 Deletedinuse: 1
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 256285 integers for termspace/termends
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 78013
% 28.77/29.17 Kept: 10347
% 28.77/29.17 Inuse: 789
% 28.77/29.17 Deleted: 5
% 28.77/29.17 Deletedinuse: 3
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 864960 integers for clauses
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 91134
% 28.77/29.17 Kept: 12719
% 28.77/29.17 Inuse: 864
% 28.77/29.17 Deleted: 6
% 28.77/29.17 Deletedinuse: 4
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 101549
% 28.77/29.17 Kept: 14745
% 28.77/29.17 Inuse: 937
% 28.77/29.17 Deleted: 8
% 28.77/29.17 Deletedinuse: 4
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 384427 integers for termspace/termends
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 114675
% 28.77/29.17 Kept: 16787
% 28.77/29.17 Inuse: 1052
% 28.77/29.17 Deleted: 8
% 28.77/29.17 Deletedinuse: 4
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 132223
% 28.77/29.17 Kept: 18787
% 28.77/29.17 Inuse: 1169
% 28.77/29.17 Deleted: 14
% 28.77/29.17 Deletedinuse: 6
% 28.77/29.17
% 28.77/29.17 *** allocated 1297440 integers for clauses
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying clauses:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 145438
% 28.77/29.17 Kept: 20812
% 28.77/29.17 Inuse: 1293
% 28.77/29.17 Deleted: 1228
% 28.77/29.17 Deletedinuse: 12
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 168108
% 28.77/29.17 Kept: 22819
% 28.77/29.17 Inuse: 1395
% 28.77/29.17 Deleted: 1228
% 28.77/29.17 Deletedinuse: 12
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 194887
% 28.77/29.17 Kept: 24830
% 28.77/29.17 Inuse: 1488
% 28.77/29.17 Deleted: 1228
% 28.77/29.17 Deletedinuse: 12
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 576640 integers for termspace/termends
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 216036
% 28.77/29.17 Kept: 26880
% 28.77/29.17 Inuse: 1554
% 28.77/29.17 Deleted: 1232
% 28.77/29.17 Deletedinuse: 16
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 247749
% 28.77/29.17 Kept: 28887
% 28.77/29.17 Inuse: 1662
% 28.77/29.17 Deleted: 1232
% 28.77/29.17 Deletedinuse: 16
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 1946160 integers for clauses
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 280436
% 28.77/29.17 Kept: 30893
% 28.77/29.17 Inuse: 1762
% 28.77/29.17 Deleted: 1232
% 28.77/29.17 Deletedinuse: 16
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 332012
% 28.77/29.17 Kept: 32912
% 28.77/29.17 Inuse: 1877
% 28.77/29.17 Deleted: 1233
% 28.77/29.17 Deletedinuse: 16
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 352780
% 28.77/29.17 Kept: 34931
% 28.77/29.17 Inuse: 1970
% 28.77/29.17 Deleted: 1241
% 28.77/29.17 Deletedinuse: 24
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 370777
% 28.77/29.17 Kept: 36935
% 28.77/29.17 Inuse: 2101
% 28.77/29.17 Deleted: 1247
% 28.77/29.17 Deletedinuse: 30
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 386878
% 28.77/29.17 Kept: 38941
% 28.77/29.17 Inuse: 2219
% 28.77/29.17 Deleted: 1257
% 28.77/29.17 Deletedinuse: 40
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying clauses:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 401086
% 28.77/29.17 Kept: 40947
% 28.77/29.17 Inuse: 2343
% 28.77/29.17 Deleted: 4924
% 28.77/29.17 Deletedinuse: 54
% 28.77/29.17
% 28.77/29.17 *** allocated 864960 integers for termspace/termends
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 413858
% 28.77/29.17 Kept: 42949
% 28.77/29.17 Inuse: 2454
% 28.77/29.17 Deleted: 4942
% 28.77/29.17 Deletedinuse: 72
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 2919240 integers for clauses
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 431378
% 28.77/29.17 Kept: 44954
% 28.77/29.17 Inuse: 2575
% 28.77/29.17 Deleted: 4960
% 28.77/29.17 Deletedinuse: 90
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 447120
% 28.77/29.17 Kept: 46972
% 28.77/29.17 Inuse: 2700
% 28.77/29.17 Deleted: 4972
% 28.77/29.17 Deletedinuse: 102
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 467854
% 28.77/29.17 Kept: 48978
% 28.77/29.17 Inuse: 2843
% 28.77/29.17 Deleted: 4982
% 28.77/29.17 Deletedinuse: 111
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 481244
% 28.77/29.17 Kept: 52097
% 28.77/29.17 Inuse: 2866
% 28.77/29.17 Deleted: 4982
% 28.77/29.17 Deletedinuse: 111
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 486608
% 28.77/29.17 Kept: 55041
% 28.77/29.17 Inuse: 2871
% 28.77/29.17 Deleted: 4982
% 28.77/29.17 Deletedinuse: 111
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 500415
% 28.77/29.17 Kept: 58829
% 28.77/29.17 Inuse: 2886
% 28.77/29.17 Deleted: 4982
% 28.77/29.17 Deletedinuse: 111
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying clauses:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 517306
% 28.77/29.17 Kept: 60830
% 28.77/29.17 Inuse: 3035
% 28.77/29.17 Deleted: 7077
% 28.77/29.17 Deletedinuse: 117
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 534265
% 28.77/29.17 Kept: 62841
% 28.77/29.17 Inuse: 3173
% 28.77/29.17 Deleted: 7220
% 28.77/29.17 Deletedinuse: 226
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 1297440 integers for termspace/termends
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 553311
% 28.77/29.17 Kept: 64850
% 28.77/29.17 Inuse: 3323
% 28.77/29.17 Deleted: 7258
% 28.77/29.17 Deletedinuse: 226
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 *** allocated 4378860 integers for clauses
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 571939
% 28.77/29.17 Kept: 66989
% 28.77/29.17 Inuse: 3396
% 28.77/29.17 Deleted: 7275
% 28.77/29.17 Deletedinuse: 228
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Intermediate Status:
% 28.77/29.17 Generated: 589677
% 28.77/29.17 Kept: 69000
% 28.77/29.17 Inuse: 3505
% 28.77/29.17 Deleted: 7305
% 28.77/29.17 Deletedinuse: 234
% 28.77/29.17
% 28.77/29.17 Resimplifying inuse:
% 28.77/29.17 Done
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Bliksems!, er is een bewijs:
% 28.77/29.17 % SZS status Theorem
% 28.77/29.17 % SZS output start Refutation
% 28.77/29.17
% 28.77/29.17 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 28.77/29.17 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 28.77/29.17 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 28.77/29.17 , Z, X ) }.
% 28.77/29.17 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 28.77/29.17 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 28.77/29.17 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 28.77/29.17 para( X, Y, Z, T ) }.
% 28.77/29.17 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 28.77/29.17 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 28.77/29.17 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 28.77/29.17 para( X, Y, Z, T ) }.
% 28.77/29.17 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 28.77/29.17 perp( X, Y, Z, T ) }.
% 28.77/29.17 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 28.77/29.17 }.
% 28.77/29.17 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 28.77/29.17 }.
% 28.77/29.17 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 28.77/29.17 }.
% 28.77/29.17 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 28.77/29.17 ), cyclic( X, Y, Z, T ) }.
% 28.77/29.17 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 28.77/29.17 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 28.77/29.17 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 28.77/29.17 , T, U, W ) }.
% 28.77/29.17 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 28.77/29.17 T, X, T, Y ) }.
% 28.77/29.17 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 28.77/29.17 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 28.77/29.17 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 28.77/29.17 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 28.77/29.17 , Y, Z, T ) }.
% 28.77/29.17 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 28.77/29.17 perp( X, Y, Y, Z ) }.
% 28.77/29.17 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 28.77/29.17 perp( X, Y, Z, T ) }.
% 28.77/29.17 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 28.77/29.17 alpha1( X, Y, Z ) }.
% 28.77/29.17 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 28.77/29.17 , Z, X ) }.
% 28.77/29.17 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 28.77/29.17 , X, X, Y ) }.
% 28.77/29.17 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol28, skol25, skol26, skol27 ) }.
% 28.77/29.17 (122) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol31, skol25, skol26 ) }.
% 28.77/29.17 (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol26 ) }.
% 28.77/29.17 (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 ) }.
% 28.77/29.17 (127) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol27 ) }.
% 28.77/29.17 (128) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol22, skol20 ) }.
% 28.77/29.17 (129) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 28.77/29.17 (168) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol26, skol25 ) }.
% 28.77/29.17 (169) {G1,W4,D2,L1,V0,M1} R(0,125) { coll( skol23, skol26, skol25 ) }.
% 28.77/29.17 (170) {G1,W4,D2,L1,V0,M1} R(0,127) { coll( skol24, skol27, skol25 ) }.
% 28.77/29.17 (171) {G2,W4,D2,L1,V0,M1} R(1,169) { coll( skol26, skol23, skol25 ) }.
% 28.77/29.17 (172) {G2,W4,D2,L1,V0,M1} R(1,168) { coll( skol26, skol22, skol25 ) }.
% 28.77/29.17 (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 28.77/29.17 (181) {G1,W4,D2,L1,V0,M1} R(1,127) { coll( skol25, skol24, skol27 ) }.
% 28.77/29.17 (182) {G3,W4,D2,L1,V0,M1} R(171,0) { coll( skol26, skol25, skol23 ) }.
% 28.77/29.17 (183) {G4,W4,D2,L1,V0,M1} R(182,1) { coll( skol25, skol26, skol23 ) }.
% 28.77/29.17 (184) {G3,W4,D2,L1,V0,M1} R(172,0) { coll( skol26, skol25, skol22 ) }.
% 28.77/29.17 (186) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z, T, X ), !
% 28.77/29.17 coll( T, U, X ), ! coll( T, U, Y ) }.
% 28.77/29.17 (189) {G5,W8,D2,L2,V1,M2} R(2,183) { ! coll( skol25, skol26, X ), coll(
% 28.77/29.17 skol23, X, skol25 ) }.
% 28.77/29.17 (194) {G3,W8,D2,L2,V1,M2} R(2,171) { ! coll( skol26, skol23, X ), coll( X,
% 28.77/29.17 skol25, skol26 ) }.
% 28.77/29.17 (200) {G2,W8,D2,L2,V1,M2} R(2,168) { ! coll( skol22, skol26, X ), coll( X,
% 28.77/29.17 skol25, skol22 ) }.
% 28.77/29.17 (207) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 28.77/29.17 coll( Z, X, T ) }.
% 28.77/29.17 (215) {G1,W8,D2,L2,V1,M2} R(2,125) { ! coll( skol23, skol25, X ), coll( X,
% 28.77/29.17 skol26, skol23 ) }.
% 28.77/29.17 (217) {G1,W8,D2,L2,V1,M2} R(2,127) { ! coll( skol24, skol25, X ), coll( X,
% 28.77/29.17 skol27, skol24 ) }.
% 28.77/29.17 (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 28.77/29.17 (223) {G4,W4,D2,L1,V0,M1} R(184,1) { coll( skol25, skol26, skol22 ) }.
% 28.77/29.17 (243) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 28.77/29.17 ) }.
% 28.77/29.17 (253) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 28.77/29.17 ), ! para( X, Y, U, W ) }.
% 28.77/29.17 (259) {G2,W10,D2,L2,V4,M2} F(253) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 28.77/29.17 ) }.
% 28.77/29.17 (262) {G2,W4,D2,L1,V0,M1} R(181,0) { coll( skol25, skol27, skol24 ) }.
% 28.77/29.17 (265) {G3,W4,D2,L1,V0,M1} R(262,1) { coll( skol27, skol25, skol24 ) }.
% 28.77/29.17 (268) {G4,W4,D2,L1,V0,M1} R(265,0) { coll( skol27, skol24, skol25 ) }.
% 28.77/29.17 (277) {G1,W5,D2,L1,V0,M1} R(7,128) { ! perp( skol22, skol20, skol23, skol24
% 28.77/29.17 ) }.
% 28.77/29.17 (292) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 28.77/29.17 ), ! perp( X, Y, U, W ) }.
% 28.77/29.17 (336) {G2,W10,D2,L2,V2,M2} R(277,9) { ! para( skol22, skol20, X, Y ), !
% 28.77/29.17 perp( X, Y, skol23, skol24 ) }.
% 28.77/29.17 (374) {G1,W5,D2,L1,V0,M1} R(122,7) { perp( skol25, skol26, skol22, skol31 )
% 28.77/29.17 }.
% 28.77/29.17 (379) {G2,W5,D2,L1,V0,M1} R(374,6) { perp( skol25, skol26, skol31, skol22 )
% 28.77/29.17 }.
% 28.77/29.17 (383) {G3,W5,D2,L1,V0,M1} R(379,7) { perp( skol31, skol22, skol25, skol26 )
% 28.77/29.17 }.
% 28.77/29.17 (385) {G4,W10,D2,L2,V2,M2} R(383,8) { ! perp( skol25, skol26, X, Y ), para
% 28.77/29.17 ( skol31, skol22, X, Y ) }.
% 28.77/29.17 (400) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 28.77/29.17 , T, Y ) }.
% 28.77/29.17 (417) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 28.77/29.17 , X, T ) }.
% 28.77/29.17 (419) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 28.77/29.17 , T, Z ) }.
% 28.77/29.17 (444) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 28.77/29.17 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 28.77/29.17 (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 28.77/29.17 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 28.77/29.17 (453) {G2,W10,D2,L2,V4,M2} F(444) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 28.77/29.17 , T ) }.
% 28.77/29.17 (460) {G3,W4,D2,L1,V0,M1} R(218,170) { coll( skol25, skol24, skol25 ) }.
% 28.77/29.17 (461) {G5,W4,D2,L1,V0,M1} R(218,268) { coll( skol25, skol27, skol25 ) }.
% 28.77/29.17 (463) {G3,W4,D2,L1,V0,M1} R(218,262) { coll( skol24, skol25, skol24 ) }.
% 28.77/29.17 (474) {G3,W12,D2,L3,V4,M3} R(218,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 28.77/29.17 coll( X, Z, T ) }.
% 28.77/29.17 (491) {G4,W8,D2,L2,V3,M2} F(474) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 28.77/29.17 (495) {G4,W4,D2,L1,V0,M1} R(460,0) { coll( skol25, skol25, skol24 ) }.
% 28.77/29.17 (499) {G5,W8,D2,L2,V1,M2} R(495,2) { ! coll( skol25, skol25, X ), coll(
% 28.77/29.17 skol24, X, skol25 ) }.
% 28.77/29.17 (503) {G6,W4,D2,L1,V0,M1} R(461,0) { coll( skol25, skol25, skol27 ) }.
% 28.77/29.17 (506) {G7,W8,D2,L2,V1,M2} R(503,2) { ! coll( skol25, skol25, X ), coll( X,
% 28.77/29.17 skol27, skol25 ) }.
% 28.77/29.17 (522) {G4,W4,D2,L1,V0,M1} R(463,0) { coll( skol24, skol24, skol25 ) }.
% 28.77/29.17 (525) {G5,W8,D2,L2,V1,M2} R(522,2) { ! coll( skol24, skol24, X ), coll( X,
% 28.77/29.17 skol25, skol24 ) }.
% 28.77/29.17 (783) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 28.77/29.17 X, Y, U, W, Z, T ) }.
% 28.77/29.17 (806) {G5,W8,D2,L2,V3,M2} R(491,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 28.77/29.17 (808) {G5,W8,D2,L2,V3,M2} R(491,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 28.77/29.17 (811) {G6,W8,D2,L2,V3,M2} R(806,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 28.77/29.17 (812) {G6,W8,D2,L2,V3,M2} R(806,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 28.77/29.17 (813) {G7,W8,D2,L2,V3,M2} R(811,806) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 28.77/29.17 }.
% 28.77/29.17 (831) {G7,W8,D2,L2,V3,M2} R(812,812) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 28.77/29.17 }.
% 28.77/29.17 (834) {G8,W12,D2,L3,V4,M3} R(831,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 28.77/29.17 , coll( T, Y, X ) }.
% 28.77/29.17 (835) {G9,W8,D2,L2,V3,M2} F(834) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 28.77/29.17 (836) {G10,W8,D2,L2,V3,M2} R(835,831) { coll( X, X, Y ), ! coll( Y, X, Z )
% 28.77/29.17 }.
% 28.77/29.17 (838) {G10,W8,D2,L2,V3,M2} R(835,813) { coll( X, X, Y ), ! coll( Z, Y, X )
% 28.77/29.17 }.
% 28.77/29.17 (992) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 28.77/29.17 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 28.77/29.17 (1024) {G2,W15,D2,L3,V3,M3} F(992) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 28.77/29.17 , Z, Y ), cong( X, Y, X, Y ) }.
% 28.77/29.17 (1561) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol28, skol25, skol27 ),
% 28.77/29.17 perp( skol25, skol26, skol26, skol27 ) }.
% 28.77/29.17 (4554) {G11,W8,D2,L2,V3,M2} R(97,838) { ! alpha1( X, Y, Z ), coll( X, X, Z
% 28.77/29.17 ) }.
% 28.77/29.17 (5043) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25, skol28 ),
% 28.77/29.17 skol25, skol25, skol28 ) }.
% 28.77/29.17 (7551) {G2,W7,D3,L1,V0,M1} R(5043,7) { perp( skol25, skol28, skol12( skol25
% 28.77/29.17 , skol28 ), skol25 ) }.
% 28.77/29.17 (7562) {G3,W7,D3,L1,V0,M1} R(7551,6) { perp( skol25, skol28, skol25, skol12
% 28.77/29.17 ( skol25, skol28 ) ) }.
% 28.77/29.17 (7583) {G4,W7,D3,L1,V0,M1} R(7562,7) { perp( skol25, skol12( skol25, skol28
% 28.77/29.17 ), skol25, skol28 ) }.
% 28.77/29.17 (7618) {G5,W4,D2,L1,V0,M1} R(7583,96);r(7583) { alpha1( skol25, skol25,
% 28.77/29.17 skol28 ) }.
% 28.77/29.17 (7630) {G12,W4,D2,L1,V0,M1} R(7618,4554) { coll( skol25, skol25, skol28 )
% 28.77/29.17 }.
% 28.77/29.17 (10137) {G6,W4,D2,L1,V0,M1} R(189,223) { coll( skol23, skol22, skol25 ) }.
% 28.77/29.17 (10156) {G11,W4,D2,L1,V0,M1} R(10137,836) { coll( skol22, skol22, skol23 )
% 28.77/29.17 }.
% 28.77/29.17 (10264) {G12,W8,D2,L2,V2,M2} R(10156,186);f { coll( skol23, X, skol22 ), !
% 28.77/29.17 coll( X, Y, skol22 ) }.
% 28.77/29.17 (14304) {G13,W8,D2,L2,V2,M2} R(10264,129) { coll( skol23, X, skol22 ), !
% 28.77/29.17 coll( skol22, Y, X ) }.
% 28.77/29.17 (17450) {G14,W8,D2,L2,V2,M2} R(14304,176) { ! coll( skol22, X, Y ), coll( Y
% 28.77/29.17 , skol22, skol23 ) }.
% 28.77/29.17 (33317) {G6,W4,D2,L1,V0,M1} R(499,200);r(168) { coll( skol24, skol22,
% 28.77/29.17 skol25 ) }.
% 28.77/29.17 (33380) {G7,W4,D2,L1,V0,M1} R(33317,176) { coll( skol22, skol25, skol24 )
% 28.77/29.17 }.
% 28.77/29.17 (33394) {G15,W4,D2,L1,V0,M1} R(33380,17450) { coll( skol24, skol22, skol23
% 28.77/29.17 ) }.
% 28.77/29.17 (33439) {G16,W4,D2,L1,V0,M1} R(33394,808) { coll( skol24, skol24, skol23 )
% 28.77/29.17 }.
% 28.77/29.17 (33844) {G13,W4,D2,L1,V0,M1} R(506,7630) { coll( skol28, skol27, skol25 )
% 28.77/29.17 }.
% 28.77/29.17 (34823) {G17,W4,D2,L1,V0,M1} R(525,215);r(33439) { coll( skol24, skol26,
% 28.77/29.17 skol23 ) }.
% 28.77/29.17 (34870) {G18,W4,D2,L1,V0,M1} R(34823,176) { coll( skol26, skol23, skol24 )
% 28.77/29.17 }.
% 28.77/29.17 (34891) {G19,W4,D2,L1,V0,M1} R(34870,194) { coll( skol24, skol25, skol26 )
% 28.77/29.17 }.
% 28.77/29.17 (34906) {G20,W4,D2,L1,V0,M1} R(34891,217) { coll( skol26, skol27, skol24 )
% 28.77/29.17 }.
% 28.77/29.17 (34974) {G21,W4,D2,L1,V0,M1} R(34906,836) { coll( skol27, skol27, skol26 )
% 28.77/29.17 }.
% 28.77/29.17 (36199) {G22,W14,D2,L2,V1,M2} R(34974,42) { ! eqangle( skol27, X, skol27,
% 28.77/29.17 skol26, skol27, X, skol27, skol26 ), cyclic( X, skol26, skol27, skol27 )
% 28.77/29.17 }.
% 28.77/29.17 (37630) {G14,W4,D2,L1,V0,M1} R(33844,0) { coll( skol28, skol25, skol27 )
% 28.77/29.17 }.
% 28.77/29.17 (40022) {G15,W5,D2,L1,V0,M1} S(1561);r(37630) { perp( skol25, skol26,
% 28.77/29.17 skol26, skol27 ) }.
% 28.77/29.17 (46395) {G16,W5,D2,L1,V0,M1} R(40022,385) { para( skol31, skol22, skol26,
% 28.77/29.17 skol27 ) }.
% 28.77/29.17 (46498) {G17,W5,D2,L1,V0,M1} R(46395,243) { para( skol26, skol27, skol22,
% 28.77/29.17 skol31 ) }.
% 28.77/29.17 (46534) {G18,W5,D2,L1,V0,M1} R(46498,243) { para( skol22, skol31, skol27,
% 28.77/29.17 skol26 ) }.
% 28.77/29.17 (46555) {G19,W5,D2,L1,V0,M1} R(46534,259) { para( skol27, skol26, skol27,
% 28.77/29.17 skol26 ) }.
% 28.77/29.17 (47417) {G20,W9,D2,L1,V2,M1} R(783,46555) { eqangle( X, Y, skol27, skol26,
% 28.77/29.17 X, Y, skol27, skol26 ) }.
% 28.77/29.17 (60028) {G23,W5,D2,L1,V1,M1} S(36199);r(47417) { cyclic( X, skol26, skol27
% 28.77/29.17 , skol27 ) }.
% 28.77/29.17 (60163) {G24,W5,D2,L1,V1,M1} R(60028,419) { cyclic( skol26, X, skol27,
% 28.77/29.17 skol27 ) }.
% 28.77/29.17 (60175) {G25,W5,D2,L1,V1,M1} R(60163,453) { cyclic( skol27, X, skol27,
% 28.77/29.17 skol27 ) }.
% 28.77/29.17 (60221) {G26,W5,D2,L1,V1,M1} R(60175,417) { cyclic( skol27, skol27, X,
% 28.77/29.17 skol27 ) }.
% 28.77/29.17 (60222) {G26,W5,D2,L1,V1,M1} R(60175,400) { cyclic( skol27, skol27, skol27
% 28.77/29.17 , X ) }.
% 28.77/29.17 (60227) {G27,W5,D2,L1,V2,M1} R(60221,449);r(60222) { cyclic( skol27, skol27
% 28.77/29.17 , X, Y ) }.
% 28.77/29.17 (60249) {G28,W5,D2,L1,V3,M1} R(60227,449);r(60227) { cyclic( skol27, X, Y,
% 28.77/29.17 Z ) }.
% 28.77/29.17 (60268) {G29,W5,D2,L1,V4,M1} R(60249,449);r(60249) { cyclic( X, Y, Z, T )
% 28.77/29.17 }.
% 28.77/29.17 (69638) {G30,W5,D2,L1,V2,M1} S(1024);r(60268);r(60268) { cong( X, Y, X, Y )
% 28.77/29.17 }.
% 28.77/29.17 (69655) {G31,W5,D2,L1,V3,M1} R(69638,56);r(69638) { perp( X, X, Z, Y ) }.
% 28.77/29.17 (69696) {G32,W5,D2,L1,V4,M1} R(69655,292);r(69655) { para( X, Y, Z, T ) }.
% 28.77/29.17 (69718) {G33,W5,D2,L1,V4,M1} R(69655,9);r(69696) { perp( X, Y, T, U ) }.
% 28.77/29.17 (69823) {G34,W0,D0,L0,V0,M0} R(69696,336);r(69718) { }.
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 % SZS output end Refutation
% 28.77/29.17 found a proof!
% 28.77/29.17
% 28.77/29.17
% 28.77/29.17 Unprocessed initial clauses:
% 28.77/29.17
% 28.77/29.17 (69825) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 28.77/29.17 (69826) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 28.77/29.17 (69827) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 28.77/29.17 ( Y, Z, X ) }.
% 28.77/29.17 (69828) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 28.77/29.17 }.
% 28.77/29.17 (69829) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 28.77/29.17 }.
% 28.77/29.17 (69830) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 28.77/29.17 , para( X, Y, Z, T ) }.
% 28.77/29.17 (69831) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 28.77/29.17 }.
% 28.77/29.17 (69832) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 28.77/29.17 }.
% 28.77/29.17 (69833) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 28.77/29.17 , para( X, Y, Z, T ) }.
% 28.77/29.17 (69834) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 28.77/29.17 , perp( X, Y, Z, T ) }.
% 28.77/29.17 (69835) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 28.77/29.17 (69836) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 28.77/29.17 , circle( T, X, Y, Z ) }.
% 28.77/29.17 (69837) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 28.77/29.17 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 28.77/29.17 (69838) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 28.77/29.17 ) }.
% 28.77/29.17 (69839) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 28.77/29.17 ) }.
% 28.77/29.17 (69840) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 28.77/29.17 ) }.
% 28.77/29.17 (69841) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 28.77/29.17 T ), cyclic( X, Y, Z, T ) }.
% 28.77/29.17 (69842) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 28.77/29.17 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 28.77/29.17 (69843) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 28.77/29.17 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 28.77/29.17 (69844) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 28.77/29.17 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 28.77/29.17 (69845) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 28.77/29.17 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 28.77/29.17 (69846) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 28.77/29.17 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 28.77/29.17 V1 ) }.
% 28.77/29.17 (69847) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 28.77/29.17 }.
% 28.77/29.17 (69848) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 28.77/29.17 }.
% 28.77/29.17 (69849) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 28.77/29.17 , cong( X, Y, Z, T ) }.
% 28.77/29.17 (69850) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 28.77/29.17 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 28.77/29.17 (69851) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 28.77/29.17 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 28.77/29.17 (69852) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 28.77/29.17 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 28.77/29.17 (69853) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 28.77/29.17 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 28.77/29.17 (69854) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 28.77/29.17 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 28.77/29.17 V1 ) }.
% 28.77/29.17 (69855) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 28.77/29.17 , Z, T, U, W ) }.
% 28.77/29.17 (69856) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 28.77/29.17 , Z, T, U, W ) }.
% 28.77/29.17 (69857) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 28.77/29.17 , Z, T, U, W ) }.
% 28.77/29.17 (69858) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 28.77/29.17 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 28.77/29.17 (69859) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 28.77/29.17 , Z, T, U, W ) }.
% 28.77/29.17 (69860) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 28.77/29.17 , Z, T, U, W ) }.
% 28.77/29.17 (69861) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 28.77/29.17 , Z, T, U, W ) }.
% 28.77/29.17 (69862) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 28.77/29.17 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 28.77/29.17 (69863) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 28.77/29.17 X, Y, Z, T ) }.
% 28.77/29.17 (69864) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 28.77/29.17 Z, T, U, W ) }.
% 28.77/29.17 (69865) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 28.77/29.17 , T, X, T, Y ) }.
% 28.77/29.17 (69866) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 28.77/29.17 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 28.77/29.17 (69867) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 28.77/29.17 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 28.77/29.17 (69868) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 28.77/29.17 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 28.77/29.17 , Y, Z, T ) }.
% 28.77/29.17 (69869) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 28.77/29.17 ( Z, T, X, Y ) }.
% 28.77/29.17 (69870) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 28.77/29.17 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 28.77/29.17 (69871) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 28.77/29.17 X, Y, Z, Y ) }.
% 28.77/29.17 (69872) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 28.77/29.17 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 28.77/29.17 (69873) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 28.77/29.17 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 28.77/29.17 (69874) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 28.77/29.17 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 28.77/29.17 (69875) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 28.77/29.17 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 28.77/29.17 (69876) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 28.77/29.17 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 28.77/29.17 (69877) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 28.77/29.17 cong( X, Z, Y, Z ) }.
% 28.77/29.17 (69878) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 28.77/29.17 perp( X, Y, Y, Z ) }.
% 28.77/29.17 (69879) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 28.77/29.17 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 28.77/29.17 (69880) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 28.77/29.17 cong( Z, X, Z, Y ) }.
% 28.77/29.17 (69881) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 28.77/29.17 , perp( X, Y, Z, T ) }.
% 28.77/29.17 (69882) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 28.77/29.17 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 28.77/29.17 (69883) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 28.77/29.17 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 28.77/29.17 , W ) }.
% 28.77/29.17 (69884) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 28.77/29.17 , X, Z, T, U, T, W ) }.
% 28.77/29.17 (69885) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 28.77/29.17 , Y, Z, T, U, U, W ) }.
% 28.77/29.17 (69886) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 28.77/29.17 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 28.77/29.17 (69887) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 28.77/29.17 , T ) }.
% 28.77/29.17 (69888) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 28.77/29.17 ( X, Z, Y, T ) }.
% 28.77/29.17 (69889) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 28.77/29.17 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 28.77/29.17 (69890) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 28.77/29.17 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 28.77/29.17 (69891) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 28.77/29.17 (69892) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 28.77/29.17 midp( X, Y, Z ) }.
% 28.77/29.17 (69893) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 28.77/29.17 (69894) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 28.77/29.17 (69895) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 28.77/29.17 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 28.77/29.17 (69896) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 28.77/29.18 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 28.77/29.18 (69897) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 28.77/29.18 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 28.77/29.18 (69898) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 28.77/29.18 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 28.77/29.18 (69899) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 28.77/29.18 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 28.77/29.18 (69900) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 28.77/29.18 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 28.77/29.18 (69901) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 28.77/29.18 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 28.77/29.18 (69902) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 28.77/29.18 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 28.77/29.18 (69903) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 28.77/29.18 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 28.77/29.18 (69904) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 28.77/29.18 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 28.77/29.18 (69905) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 28.77/29.18 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 28.77/29.18 (69906) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 28.77/29.18 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 28.77/29.18 (69907) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 28.77/29.18 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 28.77/29.18 (69908) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 28.77/29.18 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 28.77/29.18 (69909) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 28.77/29.18 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 28.77/29.18 (69910) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 28.77/29.18 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 28.77/29.18 , T ) ) }.
% 28.77/29.18 (69911) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 28.77/29.18 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 28.77/29.18 (69912) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 28.77/29.18 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 28.77/29.18 (69913) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 28.77/29.18 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 28.77/29.18 (69914) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 28.77/29.18 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 28.77/29.18 (69915) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 28.77/29.18 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 28.77/29.18 ) }.
% 28.77/29.18 (69916) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 28.77/29.18 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 28.77/29.18 }.
% 28.77/29.18 (69917) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 28.77/29.18 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 28.77/29.18 (69918) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 28.77/29.18 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 28.77/29.18 (69919) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 28.77/29.18 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 28.77/29.18 (69920) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 28.77/29.18 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 28.77/29.18 (69921) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 28.77/29.18 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 28.77/29.18 (69922) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 28.77/29.18 , alpha1( X, Y, Z ) }.
% 28.77/29.18 (69923) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 28.77/29.18 ), Z, X ) }.
% 28.77/29.18 (69924) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 28.77/29.18 , Z ), Z, X ) }.
% 28.77/29.18 (69925) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 28.77/29.18 alpha1( X, Y, Z ) }.
% 28.77/29.18 (69926) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 28.77/29.18 ), X, X, Y ) }.
% 28.77/29.18 (69927) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 28.77/29.18 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 28.77/29.18 ) ) }.
% 28.77/29.18 (69928) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 28.77/29.18 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 28.77/29.18 (69929) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 28.77/29.18 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 28.77/29.18 }.
% 28.77/29.18 (69930) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 28.77/29.18 (69931) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 28.77/29.18 }.
% 28.77/29.18 (69932) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 28.77/29.18 alpha2( X, Y, Z, T ) }.
% 28.77/29.18 (69933) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 28.77/29.18 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 28.77/29.18 (69934) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 28.77/29.18 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 28.77/29.18 (69935) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 28.77/29.18 coll( skol16( W, Y, Z ), Y, Z ) }.
% 28.77/29.18 (69936) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 28.77/29.18 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 28.77/29.18 (69937) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 28.77/29.18 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 28.77/29.18 (69938) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 28.77/29.18 , coll( X, Y, skol18( X, Y ) ) }.
% 28.77/29.18 (69939) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 28.77/29.18 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 28.77/29.18 (69940) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 28.77/29.18 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 28.77/29.18 }.
% 28.77/29.18 (69941) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 28.77/29.18 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 28.77/29.18 }.
% 28.77/29.18 (69942) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol26, skol27 ) }.
% 28.77/29.18 (69943) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol29, skol30 ) }.
% 28.77/29.18 (69944) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol29, skol31, skol32 ) }.
% 28.77/29.18 (69945) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol29, skol28 ) }.
% 28.77/29.18 (69946) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol31, skol25, skol27 ) }.
% 28.77/29.18 (69947) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol27 ) }.
% 28.77/29.18 (69948) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol31, skol25, skol26 ) }.
% 28.77/29.18 (69949) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol26 ) }.
% 28.77/29.18 (69950) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol29, skol25, skol26 ) }.
% 28.77/29.18 (69951) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 28.77/29.18 (69952) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol29, skol25, skol27 ) }.
% 28.77/29.18 (69953) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol27 ) }.
% 28.77/29.18 (69954) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol22, skol20 ) }.
% 28.77/29.18
% 28.77/29.18
% 28.77/29.18 Total Proof:
% 28.77/29.18
% 28.77/29.18 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent0: (69825) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 parent0: (69826) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 28.77/29.18 Z ), coll( Y, Z, X ) }.
% 28.77/29.18 parent0: (69827) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 28.77/29.18 , T, Z ) }.
% 28.77/29.18 parent0: (69828) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 28.77/29.18 T, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 28.77/29.18 , X, Y ) }.
% 28.77/29.18 parent0: (69829) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 28.77/29.18 W, Z, T ), para( X, Y, Z, T ) }.
% 28.77/29.18 parent0: (69830) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 28.77/29.18 , Z, T ), para( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 W := W
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 28.77/29.18 , T, Z ) }.
% 28.77/29.18 parent0: (69831) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 28.77/29.18 T, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 28.77/29.18 , X, Y ) }.
% 28.77/29.18 parent0: (69832) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 28.77/29.18 W, Z, T ), para( X, Y, Z, T ) }.
% 28.77/29.18 parent0: (69833) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 28.77/29.18 , Z, T ), para( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 W := W
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 28.77/29.18 W, Z, T ), perp( X, Y, Z, T ) }.
% 28.77/29.18 parent0: (69834) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 28.77/29.18 , Z, T ), perp( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 W := W
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 28.77/29.18 X, Y, T, Z ) }.
% 28.77/29.18 parent0: (69838) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 28.77/29.18 , Y, T, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 28.77/29.18 X, Z, Y, T ) }.
% 28.77/29.18 parent0: (69839) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 28.77/29.18 , Z, Y, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 28.77/29.18 Y, X, Z, T ) }.
% 28.77/29.18 parent0: (69840) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 28.77/29.18 , X, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 28.77/29.18 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 28.77/29.18 parent0: (69841) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 28.77/29.18 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 28.77/29.18 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 28.77/29.18 parent0: (69843) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 28.77/29.18 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 W := W
% 28.77/29.18 V0 := V0
% 28.77/29.18 V1 := V1
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 28.77/29.18 , Y, U, W, Z, T, U, W ) }.
% 28.77/29.18 parent0: (69864) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 28.77/29.18 Y, U, W, Z, T, U, W ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 W := W
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 28.77/29.18 ( Z, X, Z, Y, T, X, T, Y ) }.
% 28.77/29.18 parent0: (69865) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 28.77/29.18 , X, Z, Y, T, X, T, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 28.77/29.18 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 28.77/29.18 parent0: (69867) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 28.77/29.18 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 28.77/29.18 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 28.77/29.18 ), cong( X, Y, Z, T ) }.
% 28.77/29.18 parent0: (69868) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 28.77/29.18 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 28.77/29.18 , cong( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 W := W
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 3 ==> 3
% 28.77/29.18 4 ==> 4
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 28.77/29.18 T, X, Z ), perp( X, Y, Y, Z ) }.
% 28.77/29.18 parent0: (69878) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 28.77/29.18 , X, Z ), perp( X, Y, Y, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 28.77/29.18 , T, Y, T ), perp( X, Y, Z, T ) }.
% 28.77/29.18 parent0: (69881) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 28.77/29.18 , Y, T ), perp( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 28.77/29.18 , T, X, Z ), alpha1( X, Y, Z ) }.
% 28.77/29.18 parent0: (69922) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 28.77/29.18 , X, Z ), alpha1( X, Y, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 28.77/29.18 skol11( X, T, Z ), Z, X ) }.
% 28.77/29.18 parent0: (69923) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 28.77/29.18 ( X, T, Z ), Z, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 28.77/29.18 skol12( X, Y ), X, X, Y ) }.
% 28.77/29.18 parent0: (69926) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 28.77/29.18 skol12( X, Y ), X, X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol28, skol25, skol26,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 parent0: (69942) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol26,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol31, skol25,
% 28.77/29.18 skol26 ) }.
% 28.77/29.18 parent0: (69948) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol31, skol25,
% 28.77/29.18 skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol26 )
% 28.77/29.18 }.
% 28.77/29.18 parent0: (69949) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 )
% 28.77/29.18 }.
% 28.77/29.18 parent0: (69951) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (127) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 parent0: (69953) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (128) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol22,
% 28.77/29.18 skol20 ) }.
% 28.77/29.18 parent0: (69954) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol22,
% 28.77/29.18 skol20 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 factor: (70534) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 28.77/29.18 , Z ), coll( Y, Z, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := Z
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (129) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 28.77/29.18 , X ) }.
% 28.77/29.18 parent0: (70534) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70535) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol26 )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol26
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (168) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol26,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 parent0: (70535) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70536) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol23
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol26
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (169) {G1,W4,D2,L1,V0,M1} R(0,125) { coll( skol23, skol26,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 parent0: (70536) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70537) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol27, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (127) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol27
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (170) {G1,W4,D2,L1,V0,M1} R(0,127) { coll( skol24, skol27,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 parent0: (70537) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol27, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70538) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol23, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (169) {G1,W4,D2,L1,V0,M1} R(0,125) { coll( skol23, skol26,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol23
% 28.77/29.18 Y := skol26
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (171) {G2,W4,D2,L1,V0,M1} R(1,169) { coll( skol26, skol23,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 parent0: (70538) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol23, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70539) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (168) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol26,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := skol26
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (172) {G2,W4,D2,L1,V0,M1} R(1,168) { coll( skol26, skol22,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 parent0: (70539) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70541) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 28.77/29.18 ) }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 28.77/29.18 , Z, X ) }.
% 28.77/29.18 parent0: (70541) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70542) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (127) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol27
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (181) {G1,W4,D2,L1,V0,M1} R(1,127) { coll( skol25, skol24,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 parent0: (70542) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70543) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol23 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (171) {G2,W4,D2,L1,V0,M1} R(1,169) { coll( skol26, skol23,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol26
% 28.77/29.18 Y := skol23
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (182) {G3,W4,D2,L1,V0,M1} R(171,0) { coll( skol26, skol25,
% 28.77/29.18 skol23 ) }.
% 28.77/29.18 parent0: (70543) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70544) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol23 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (182) {G3,W4,D2,L1,V0,M1} R(171,0) { coll( skol26, skol25,
% 28.77/29.18 skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol26
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol23
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (183) {G4,W4,D2,L1,V0,M1} R(182,1) { coll( skol25, skol26,
% 28.77/29.18 skol23 ) }.
% 28.77/29.18 parent0: (70544) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70545) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol22 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (172) {G2,W4,D2,L1,V0,M1} R(1,168) { coll( skol26, skol22,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol26
% 28.77/29.18 Y := skol22
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (184) {G3,W4,D2,L1,V0,M1} R(172,0) { coll( skol26, skol25,
% 28.77/29.18 skol22 ) }.
% 28.77/29.18 parent0: (70545) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70547) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, Z ), coll( Z, T,
% 28.77/29.18 X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 28.77/29.18 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := T
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := T
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Y
% 28.77/29.18 T := U
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (186) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z
% 28.77/29.18 , T, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 28.77/29.18 parent0: (70547) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, Z ), coll( Z, T, X )
% 28.77/29.18 , ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 3 ==> 3
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70554) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol26, X ),
% 28.77/29.18 coll( skol23, X, skol25 ) }.
% 28.77/29.18 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[0]: (183) {G4,W4,D2,L1,V0,M1} R(182,1) { coll( skol25, skol26,
% 28.77/29.18 skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol23
% 28.77/29.18 Z := X
% 28.77/29.18 T := skol26
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (189) {G5,W8,D2,L2,V1,M2} R(2,183) { ! coll( skol25, skol26, X
% 28.77/29.18 ), coll( skol23, X, skol25 ) }.
% 28.77/29.18 parent0: (70554) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol26, X ), coll(
% 28.77/29.18 skol23, X, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70557) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol23, X ),
% 28.77/29.18 coll( X, skol25, skol26 ) }.
% 28.77/29.18 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[0]: (171) {G2,W4,D2,L1,V0,M1} R(1,169) { coll( skol26, skol23,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol26
% 28.77/29.18 Y := X
% 28.77/29.18 Z := skol25
% 28.77/29.18 T := skol23
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (194) {G3,W8,D2,L2,V1,M2} R(2,171) { ! coll( skol26, skol23, X
% 28.77/29.18 ), coll( X, skol25, skol26 ) }.
% 28.77/29.18 parent0: (70557) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol23, X ), coll(
% 28.77/29.18 X, skol25, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70559) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol26, X ),
% 28.77/29.18 coll( X, skol25, skol22 ) }.
% 28.77/29.18 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[0]: (168) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol26,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := X
% 28.77/29.18 Z := skol25
% 28.77/29.18 T := skol26
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (200) {G2,W8,D2,L2,V1,M2} R(2,168) { ! coll( skol22, skol26, X
% 28.77/29.18 ), coll( X, skol25, skol22 ) }.
% 28.77/29.18 parent0: (70559) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol26, X ), coll(
% 28.77/29.18 X, skol25, skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70563) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 28.77/29.18 X ), ! coll( Z, T, Y ) }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := Z
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Y
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (207) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 28.77/29.18 ( X, Y, T ), coll( Z, X, T ) }.
% 28.77/29.18 parent0: (70563) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 28.77/29.18 , ! coll( Z, T, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Z
% 28.77/29.18 Y := T
% 28.77/29.18 Z := X
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 2
% 28.77/29.18 1 ==> 0
% 28.77/29.18 2 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70566) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol25, X ),
% 28.77/29.18 coll( X, skol26, skol23 ) }.
% 28.77/29.18 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[0]: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol23
% 28.77/29.18 Y := X
% 28.77/29.18 Z := skol26
% 28.77/29.18 T := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (215) {G1,W8,D2,L2,V1,M2} R(2,125) { ! coll( skol23, skol25, X
% 28.77/29.18 ), coll( X, skol26, skol23 ) }.
% 28.77/29.18 parent0: (70566) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol25, X ), coll(
% 28.77/29.18 X, skol26, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70568) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol25, X ),
% 28.77/29.18 coll( X, skol27, skol24 ) }.
% 28.77/29.18 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[0]: (127) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 Y := X
% 28.77/29.18 Z := skol27
% 28.77/29.18 T := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (217) {G1,W8,D2,L2,V1,M2} R(2,127) { ! coll( skol24, skol25, X
% 28.77/29.18 ), coll( X, skol27, skol24 ) }.
% 28.77/29.18 parent0: (70568) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol25, X ), coll(
% 28.77/29.18 X, skol27, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 factor: (70569) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0, 1]: (207) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 28.77/29.18 coll( X, Y, T ), coll( Z, X, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z
% 28.77/29.18 , X, Z ) }.
% 28.77/29.18 parent0: (70569) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70570) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol22 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (184) {G3,W4,D2,L1,V0,M1} R(172,0) { coll( skol26, skol25,
% 28.77/29.18 skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol26
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol22
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (223) {G4,W4,D2,L1,V0,M1} R(184,1) { coll( skol25, skol26,
% 28.77/29.18 skol22 ) }.
% 28.77/29.18 parent0: (70570) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70572) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 28.77/29.18 T, X, Y ) }.
% 28.77/29.18 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 28.77/29.18 T, Z ) }.
% 28.77/29.18 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := Z
% 28.77/29.18 Y := T
% 28.77/29.18 Z := X
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (243) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 28.77/29.18 ( Z, T, Y, X ) }.
% 28.77/29.18 parent0: (70572) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Z
% 28.77/29.18 Y := T
% 28.77/29.18 Z := X
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70573) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 28.77/29.18 Y, U, W ), ! para( Z, T, X, Y ) }.
% 28.77/29.18 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 28.77/29.18 , Z, T ), para( X, Y, Z, T ) }.
% 28.77/29.18 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := U
% 28.77/29.18 T := W
% 28.77/29.18 U := Z
% 28.77/29.18 W := T
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := Z
% 28.77/29.18 Y := T
% 28.77/29.18 Z := X
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (253) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 28.77/29.18 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 28.77/29.18 parent0: (70573) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 28.77/29.18 U, W ), ! para( Z, T, X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := U
% 28.77/29.18 Y := W
% 28.77/29.18 Z := X
% 28.77/29.18 T := Y
% 28.77/29.18 U := Z
% 28.77/29.18 W := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 factor: (70577) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 28.77/29.18 , T ) }.
% 28.77/29.18 parent0[0, 2]: (253) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 28.77/29.18 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := Z
% 28.77/29.18 W := T
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (259) {G2,W10,D2,L2,V4,M2} F(253) { ! para( X, Y, Z, T ), para
% 28.77/29.18 ( Z, T, Z, T ) }.
% 28.77/29.18 parent0: (70577) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 28.77/29.18 Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70578) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol24 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (181) {G1,W4,D2,L1,V0,M1} R(1,127) { coll( skol25, skol24,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol24
% 28.77/29.18 Z := skol27
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (262) {G2,W4,D2,L1,V0,M1} R(181,0) { coll( skol25, skol27,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 parent0: (70578) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70579) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol24 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (262) {G2,W4,D2,L1,V0,M1} R(181,0) { coll( skol25, skol27,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol27
% 28.77/29.18 Z := skol24
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (265) {G3,W4,D2,L1,V0,M1} R(262,1) { coll( skol27, skol25,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 parent0: (70579) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70580) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol24, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (265) {G3,W4,D2,L1,V0,M1} R(262,1) { coll( skol27, skol25,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol27
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol24
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (268) {G4,W4,D2,L1,V0,M1} R(265,0) { coll( skol27, skol24,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 parent0: (70580) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol24, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70581) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol20, skol23,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 parent0[0]: (128) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol22,
% 28.77/29.18 skol20 ) }.
% 28.77/29.18 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := skol20
% 28.77/29.18 Z := skol23
% 28.77/29.18 T := skol24
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (277) {G1,W5,D2,L1,V0,M1} R(7,128) { ! perp( skol22, skol20,
% 28.77/29.18 skol23, skol24 ) }.
% 28.77/29.18 parent0: (70581) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol20, skol23,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70582) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 28.77/29.18 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 28.77/29.18 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 28.77/29.18 , Z, T ), para( X, Y, Z, T ) }.
% 28.77/29.18 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := U
% 28.77/29.18 T := W
% 28.77/29.18 U := Z
% 28.77/29.18 W := T
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := Z
% 28.77/29.18 Y := T
% 28.77/29.18 Z := X
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (292) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 28.77/29.18 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 28.77/29.18 parent0: (70582) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 28.77/29.18 U, W ), ! perp( Z, T, X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := U
% 28.77/29.18 Y := W
% 28.77/29.18 Z := X
% 28.77/29.18 T := Y
% 28.77/29.18 U := Z
% 28.77/29.18 W := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70586) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol20, X, Y )
% 28.77/29.18 , ! perp( X, Y, skol23, skol24 ) }.
% 28.77/29.18 parent0[0]: (277) {G1,W5,D2,L1,V0,M1} R(7,128) { ! perp( skol22, skol20,
% 28.77/29.18 skol23, skol24 ) }.
% 28.77/29.18 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 28.77/29.18 , Z, T ), perp( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := skol20
% 28.77/29.18 Z := skol23
% 28.77/29.18 T := skol24
% 28.77/29.18 U := X
% 28.77/29.18 W := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (336) {G2,W10,D2,L2,V2,M2} R(277,9) { ! para( skol22, skol20,
% 28.77/29.18 X, Y ), ! perp( X, Y, skol23, skol24 ) }.
% 28.77/29.18 parent0: (70586) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol20, X, Y ), !
% 28.77/29.18 perp( X, Y, skol23, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70587) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol22,
% 28.77/29.18 skol31 ) }.
% 28.77/29.18 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 parent1[0]: (122) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol31, skol25,
% 28.77/29.18 skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := skol31
% 28.77/29.18 Z := skol25
% 28.77/29.18 T := skol26
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (374) {G1,W5,D2,L1,V0,M1} R(122,7) { perp( skol25, skol26,
% 28.77/29.18 skol22, skol31 ) }.
% 28.77/29.18 parent0: (70587) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol22,
% 28.77/29.18 skol31 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70588) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol31,
% 28.77/29.18 skol22 ) }.
% 28.77/29.18 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 28.77/29.18 T, Z ) }.
% 28.77/29.18 parent1[0]: (374) {G1,W5,D2,L1,V0,M1} R(122,7) { perp( skol25, skol26,
% 28.77/29.18 skol22, skol31 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol26
% 28.77/29.18 Z := skol22
% 28.77/29.18 T := skol31
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (379) {G2,W5,D2,L1,V0,M1} R(374,6) { perp( skol25, skol26,
% 28.77/29.18 skol31, skol22 ) }.
% 28.77/29.18 parent0: (70588) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol31,
% 28.77/29.18 skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70589) {G1,W5,D2,L1,V0,M1} { perp( skol31, skol22, skol25,
% 28.77/29.18 skol26 ) }.
% 28.77/29.18 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 parent1[0]: (379) {G2,W5,D2,L1,V0,M1} R(374,6) { perp( skol25, skol26,
% 28.77/29.18 skol31, skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol26
% 28.77/29.18 Z := skol31
% 28.77/29.18 T := skol22
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (383) {G3,W5,D2,L1,V0,M1} R(379,7) { perp( skol31, skol22,
% 28.77/29.18 skol25, skol26 ) }.
% 28.77/29.18 parent0: (70589) {G1,W5,D2,L1,V0,M1} { perp( skol31, skol22, skol25,
% 28.77/29.18 skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70590) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol26, X, Y )
% 28.77/29.18 , para( skol31, skol22, X, Y ) }.
% 28.77/29.18 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 28.77/29.18 , Z, T ), para( X, Y, Z, T ) }.
% 28.77/29.18 parent1[0]: (383) {G3,W5,D2,L1,V0,M1} R(379,7) { perp( skol31, skol22,
% 28.77/29.18 skol25, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol31
% 28.77/29.18 Y := skol22
% 28.77/29.18 Z := X
% 28.77/29.18 T := Y
% 28.77/29.18 U := skol25
% 28.77/29.18 W := skol26
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (385) {G4,W10,D2,L2,V2,M2} R(383,8) { ! perp( skol25, skol26,
% 28.77/29.18 X, Y ), para( skol31, skol22, X, Y ) }.
% 28.77/29.18 parent0: (70590) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol26, X, Y ),
% 28.77/29.18 para( skol31, skol22, X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70593) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 28.77/29.18 ( X, Z, Y, T ) }.
% 28.77/29.18 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 28.77/29.18 , Y, T, Z ) }.
% 28.77/29.18 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 28.77/29.18 , Z, Y, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := Y
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (400) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 28.77/29.18 cyclic( X, Z, T, Y ) }.
% 28.77/29.18 parent0: (70593) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 28.77/29.18 , Z, Y, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := Y
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70594) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 28.77/29.18 ( X, Z, Y, T ) }.
% 28.77/29.18 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 28.77/29.18 , X, Z, T ) }.
% 28.77/29.18 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 28.77/29.18 , Z, Y, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := Y
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (417) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 28.77/29.18 cyclic( Y, Z, X, T ) }.
% 28.77/29.18 parent0: (70594) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 28.77/29.18 , Z, Y, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70595) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 28.77/29.18 ( X, Y, T, Z ) }.
% 28.77/29.18 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 28.77/29.18 , X, Z, T ) }.
% 28.77/29.18 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 28.77/29.18 , Y, T, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := T
% 28.77/29.18 T := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (419) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 28.77/29.18 cyclic( Y, X, T, Z ) }.
% 28.77/29.18 parent0: (70595) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 28.77/29.18 , Y, T, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70599) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 28.77/29.18 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 28.77/29.18 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 28.77/29.18 , X, Z, T ) }.
% 28.77/29.18 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 28.77/29.18 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (444) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 28.77/29.18 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 28.77/29.18 parent0: (70599) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 28.77/29.18 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := T
% 28.77/29.18 T := U
% 28.77/29.18 U := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 2
% 28.77/29.18 1 ==> 0
% 28.77/29.18 2 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70602) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 28.77/29.18 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 28.77/29.18 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 28.77/29.18 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 28.77/29.18 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 28.77/29.18 , Y, T, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := T
% 28.77/29.18 T := U
% 28.77/29.18 U := X
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := U
% 28.77/29.18 T := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 28.77/29.18 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 28.77/29.18 parent0: (70602) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 28.77/29.18 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 factor: (70604) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 28.77/29.18 Y, T, T ) }.
% 28.77/29.18 parent0[0, 1]: (444) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 28.77/29.18 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := T
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (453) {G2,W10,D2,L2,V4,M2} F(444) { ! cyclic( X, Y, Z, T ),
% 28.77/29.18 cyclic( Z, Y, T, T ) }.
% 28.77/29.18 parent0: (70604) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 28.77/29.18 , Y, T, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70605) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z,
% 28.77/29.18 X, Z ) }.
% 28.77/29.18 parent1[0]: (170) {G1,W4,D2,L1,V0,M1} R(0,127) { coll( skol24, skol27,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 Y := skol27
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (460) {G3,W4,D2,L1,V0,M1} R(218,170) { coll( skol25, skol24,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 parent0: (70605) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70606) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z,
% 28.77/29.18 X, Z ) }.
% 28.77/29.18 parent1[0]: (268) {G4,W4,D2,L1,V0,M1} R(265,0) { coll( skol27, skol24,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol27
% 28.77/29.18 Y := skol24
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (461) {G5,W4,D2,L1,V0,M1} R(218,268) { coll( skol25, skol27,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 parent0: (70606) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70607) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol24 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z,
% 28.77/29.18 X, Z ) }.
% 28.77/29.18 parent1[0]: (262) {G2,W4,D2,L1,V0,M1} R(181,0) { coll( skol25, skol27,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol27
% 28.77/29.18 Z := skol24
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (463) {G3,W4,D2,L1,V0,M1} R(218,262) { coll( skol24, skol25,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 parent0: (70607) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70608) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 28.77/29.18 X ), ! coll( Z, T, Y ) }.
% 28.77/29.18 parent0[0]: (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z,
% 28.77/29.18 X, Z ) }.
% 28.77/29.18 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := Z
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Y
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (474) {G3,W12,D2,L3,V4,M3} R(218,2) { coll( X, Y, X ), ! coll
% 28.77/29.18 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 28.77/29.18 parent0: (70608) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 28.77/29.18 , ! coll( Z, T, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := X
% 28.77/29.18 T := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 factor: (70610) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent0[1, 2]: (474) {G3,W12,D2,L3,V4,M3} R(218,2) { coll( X, Y, X ), !
% 28.77/29.18 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (491) {G4,W8,D2,L2,V3,M2} F(474) { coll( X, Y, X ), ! coll( X
% 28.77/29.18 , Z, Y ) }.
% 28.77/29.18 parent0: (70610) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70611) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol24 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (460) {G3,W4,D2,L1,V0,M1} R(218,170) { coll( skol25, skol24,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol24
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (495) {G4,W4,D2,L1,V0,M1} R(460,0) { coll( skol25, skol25,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 parent0: (70611) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70612) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ),
% 28.77/29.18 coll( skol24, X, skol25 ) }.
% 28.77/29.18 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[0]: (495) {G4,W4,D2,L1,V0,M1} R(460,0) { coll( skol25, skol25,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol24
% 28.77/29.18 Z := X
% 28.77/29.18 T := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (499) {G5,W8,D2,L2,V1,M2} R(495,2) { ! coll( skol25, skol25, X
% 28.77/29.18 ), coll( skol24, X, skol25 ) }.
% 28.77/29.18 parent0: (70612) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ), coll(
% 28.77/29.18 skol24, X, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70614) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (461) {G5,W4,D2,L1,V0,M1} R(218,268) { coll( skol25, skol27,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol27
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (503) {G6,W4,D2,L1,V0,M1} R(461,0) { coll( skol25, skol25,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 parent0: (70614) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70616) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ),
% 28.77/29.18 coll( X, skol27, skol25 ) }.
% 28.77/29.18 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[0]: (503) {G6,W4,D2,L1,V0,M1} R(461,0) { coll( skol25, skol25,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := X
% 28.77/29.18 Z := skol27
% 28.77/29.18 T := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (506) {G7,W8,D2,L2,V1,M2} R(503,2) { ! coll( skol25, skol25, X
% 28.77/29.18 ), coll( X, skol27, skol25 ) }.
% 28.77/29.18 parent0: (70616) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ), coll(
% 28.77/29.18 X, skol27, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70617) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (463) {G3,W4,D2,L1,V0,M1} R(218,262) { coll( skol24, skol25,
% 28.77/29.18 skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol24
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (522) {G4,W4,D2,L1,V0,M1} R(463,0) { coll( skol24, skol24,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 parent0: (70617) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70619) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol24, X ),
% 28.77/29.18 coll( X, skol25, skol24 ) }.
% 28.77/29.18 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[0]: (522) {G4,W4,D2,L1,V0,M1} R(463,0) { coll( skol24, skol24,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 Y := X
% 28.77/29.18 Z := skol25
% 28.77/29.18 T := skol24
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (525) {G5,W8,D2,L2,V1,M2} R(522,2) { ! coll( skol24, skol24, X
% 28.77/29.18 ), coll( X, skol25, skol24 ) }.
% 28.77/29.18 parent0: (70619) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol24, X ), coll(
% 28.77/29.18 X, skol25, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70620) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 28.77/29.18 ), ! para( X, Y, U, W ) }.
% 28.77/29.18 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 28.77/29.18 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 28.77/29.18 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 28.77/29.18 , Y, U, W, Z, T, U, W ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 U := U
% 28.77/29.18 W := W
% 28.77/29.18 V0 := Z
% 28.77/29.18 V1 := T
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := U
% 28.77/29.18 T := W
% 28.77/29.18 U := Z
% 28.77/29.18 W := T
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (783) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 28.77/29.18 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 28.77/29.18 parent0: (70620) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 28.77/29.18 , ! para( X, Y, U, W ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := U
% 28.77/29.18 T := W
% 28.77/29.18 U := Z
% 28.77/29.18 W := T
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70622) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 28.77/29.18 ) }.
% 28.77/29.18 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (491) {G4,W8,D2,L2,V3,M2} F(474) { coll( X, Y, X ), ! coll( X,
% 28.77/29.18 Z, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := X
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (806) {G5,W8,D2,L2,V3,M2} R(491,1) { ! coll( X, Y, Z ), coll(
% 28.77/29.18 Z, X, X ) }.
% 28.77/29.18 parent0: (70622) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70624) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 28.77/29.18 ) }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (491) {G4,W8,D2,L2,V3,M2} F(474) { coll( X, Y, X ), ! coll( X,
% 28.77/29.18 Z, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := X
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (808) {G5,W8,D2,L2,V3,M2} R(491,0) { ! coll( X, Y, Z ), coll(
% 28.77/29.18 X, X, Z ) }.
% 28.77/29.18 parent0: (70624) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70625) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 28.77/29.18 ) }.
% 28.77/29.18 parent0[0]: (806) {G5,W8,D2,L2,V3,M2} R(491,1) { ! coll( X, Y, Z ), coll( Z
% 28.77/29.18 , X, X ) }.
% 28.77/29.18 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (811) {G6,W8,D2,L2,V3,M2} R(806,1) { coll( X, Y, Y ), ! coll(
% 28.77/29.18 Z, Y, X ) }.
% 28.77/29.18 parent0: (70625) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70626) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 28.77/29.18 ) }.
% 28.77/29.18 parent0[0]: (806) {G5,W8,D2,L2,V3,M2} R(491,1) { ! coll( X, Y, Z ), coll( Z
% 28.77/29.18 , X, X ) }.
% 28.77/29.18 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (812) {G6,W8,D2,L2,V3,M2} R(806,0) { coll( X, Y, Y ), ! coll(
% 28.77/29.18 Y, X, Z ) }.
% 28.77/29.18 parent0: (70626) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70628) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 28.77/29.18 ) }.
% 28.77/29.18 parent0[0]: (806) {G5,W8,D2,L2,V3,M2} R(491,1) { ! coll( X, Y, Z ), coll( Z
% 28.77/29.18 , X, X ) }.
% 28.77/29.18 parent1[0]: (811) {G6,W8,D2,L2,V3,M2} R(806,1) { coll( X, Y, Y ), ! coll( Z
% 28.77/29.18 , Y, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Y
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (813) {G7,W8,D2,L2,V3,M2} R(811,806) { ! coll( X, Y, Z ), coll
% 28.77/29.18 ( Y, Z, Z ) }.
% 28.77/29.18 parent0: (70628) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Z
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70629) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 28.77/29.18 ) }.
% 28.77/29.18 parent0[1]: (812) {G6,W8,D2,L2,V3,M2} R(806,0) { coll( X, Y, Y ), ! coll( Y
% 28.77/29.18 , X, Z ) }.
% 28.77/29.18 parent1[0]: (812) {G6,W8,D2,L2,V3,M2} R(806,0) { coll( X, Y, Y ), ! coll( Y
% 28.77/29.18 , X, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := X
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (831) {G7,W8,D2,L2,V3,M2} R(812,812) { ! coll( X, Y, Z ), coll
% 28.77/29.18 ( X, Y, Y ) }.
% 28.77/29.18 parent0: (70629) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70633) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 28.77/29.18 X ), ! coll( X, Y, T ) }.
% 28.77/29.18 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 28.77/29.18 ), coll( Y, Z, X ) }.
% 28.77/29.18 parent1[1]: (831) {G7,W8,D2,L2,V3,M2} R(812,812) { ! coll( X, Y, Z ), coll
% 28.77/29.18 ( X, Y, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := Y
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := T
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (834) {G8,W12,D2,L3,V4,M3} R(831,2) { ! coll( X, Y, Z ), !
% 28.77/29.18 coll( X, Y, T ), coll( T, Y, X ) }.
% 28.77/29.18 parent0: (70633) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 28.77/29.18 , ! coll( X, Y, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := T
% 28.77/29.18 T := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 2
% 28.77/29.18 2 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 factor: (70636) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0, 1]: (834) {G8,W12,D2,L3,V4,M3} R(831,2) { ! coll( X, Y, Z ), !
% 28.77/29.18 coll( X, Y, T ), coll( T, Y, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (835) {G9,W8,D2,L2,V3,M2} F(834) { ! coll( X, Y, Z ), coll( Z
% 28.77/29.18 , Y, X ) }.
% 28.77/29.18 parent0: (70636) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70637) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 28.77/29.18 ) }.
% 28.77/29.18 parent0[0]: (835) {G9,W8,D2,L2,V3,M2} F(834) { ! coll( X, Y, Z ), coll( Z,
% 28.77/29.18 Y, X ) }.
% 28.77/29.18 parent1[1]: (831) {G7,W8,D2,L2,V3,M2} R(812,812) { ! coll( X, Y, Z ), coll
% 28.77/29.18 ( X, Y, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Y
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (836) {G10,W8,D2,L2,V3,M2} R(835,831) { coll( X, X, Y ), !
% 28.77/29.18 coll( Y, X, Z ) }.
% 28.77/29.18 parent0: (70637) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70638) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 28.77/29.18 ) }.
% 28.77/29.18 parent0[0]: (835) {G9,W8,D2,L2,V3,M2} F(834) { ! coll( X, Y, Z ), coll( Z,
% 28.77/29.18 Y, X ) }.
% 28.77/29.18 parent1[1]: (813) {G7,W8,D2,L2,V3,M2} R(811,806) { ! coll( X, Y, Z ), coll
% 28.77/29.18 ( Y, Z, Z ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Y
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := Z
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (838) {G10,W8,D2,L2,V3,M2} R(835,813) { coll( X, X, Y ), !
% 28.77/29.18 coll( Z, Y, X ) }.
% 28.77/29.18 parent0: (70638) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := X
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70639) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 28.77/29.18 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 28.77/29.18 cyclic( X, Y, Z, T ) }.
% 28.77/29.18 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 28.77/29.18 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 28.77/29.18 ), cong( X, Y, Z, T ) }.
% 28.77/29.18 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 28.77/29.18 Z, X, Z, Y, T, X, T, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := X
% 28.77/29.18 T := Y
% 28.77/29.18 U := Z
% 28.77/29.18 W := T
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := T
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 factor: (70641) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 28.77/29.18 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 28.77/29.18 parent0[0, 2]: (70639) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 28.77/29.18 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 28.77/29.18 cyclic( X, Y, Z, T ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := X
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (992) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 28.77/29.18 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 28.77/29.18 parent0: (70641) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 28.77/29.18 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 3
% 28.77/29.18 3 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 factor: (70646) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 28.77/29.18 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 28.77/29.18 parent0[0, 2]: (992) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 28.77/29.18 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 T := X
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (1024) {G2,W15,D2,L3,V3,M3} F(992) { ! cyclic( X, Y, Z, X ), !
% 28.77/29.18 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 28.77/29.18 parent0: (70646) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 28.77/29.18 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := Z
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 2 ==> 2
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70648) {G1,W9,D2,L2,V0,M2} { ! coll( skol28, skol25, skol27 )
% 28.77/29.18 , perp( skol25, skol26, skol26, skol27 ) }.
% 28.77/29.18 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 28.77/29.18 , X, Z ), perp( X, Y, Y, Z ) }.
% 28.77/29.18 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol28, skol25, skol26,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol26
% 28.77/29.18 Z := skol27
% 28.77/29.18 T := skol28
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (1561) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol28, skol25
% 28.77/29.18 , skol27 ), perp( skol25, skol26, skol26, skol27 ) }.
% 28.77/29.18 parent0: (70648) {G1,W9,D2,L2,V0,M2} { ! coll( skol28, skol25, skol27 ),
% 28.77/29.18 perp( skol25, skol26, skol26, skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70649) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T
% 28.77/29.18 , Y ) }.
% 28.77/29.18 parent0[1]: (838) {G10,W8,D2,L2,V3,M2} R(835,813) { coll( X, X, Y ), ! coll
% 28.77/29.18 ( Z, Y, X ) }.
% 28.77/29.18 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 28.77/29.18 ( X, T, Z ), Z, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := skol11( X, Z, Y )
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := T
% 28.77/29.18 Z := Y
% 28.77/29.18 T := Z
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (4554) {G11,W8,D2,L2,V3,M2} R(97,838) { ! alpha1( X, Y, Z ),
% 28.77/29.18 coll( X, X, Z ) }.
% 28.77/29.18 parent0: (70649) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T, Y
% 28.77/29.18 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Z
% 28.77/29.18 Z := T
% 28.77/29.18 T := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70650) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol28 ),
% 28.77/29.18 skol25, skol25, skol28 ) }.
% 28.77/29.18 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 28.77/29.18 skol12( X, Y ), X, X, Y ) }.
% 28.77/29.18 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol28, skol25, skol26,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol28
% 28.77/29.18 Z := skol26
% 28.77/29.18 T := skol27
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (5043) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 28.77/29.18 skol28 ), skol25, skol25, skol28 ) }.
% 28.77/29.18 parent0: (70650) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol28 ),
% 28.77/29.18 skol25, skol25, skol28 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70651) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol28, skol12(
% 28.77/29.18 skol25, skol28 ), skol25 ) }.
% 28.77/29.18 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 parent1[0]: (5043) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 28.77/29.18 skol28 ), skol25, skol25, skol28 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol12( skol25, skol28 )
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol25
% 28.77/29.18 T := skol28
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (7551) {G2,W7,D3,L1,V0,M1} R(5043,7) { perp( skol25, skol28,
% 28.77/29.18 skol12( skol25, skol28 ), skol25 ) }.
% 28.77/29.18 parent0: (70651) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol28, skol12(
% 28.77/29.18 skol25, skol28 ), skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70652) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol28, skol25,
% 28.77/29.18 skol12( skol25, skol28 ) ) }.
% 28.77/29.18 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 28.77/29.18 T, Z ) }.
% 28.77/29.18 parent1[0]: (7551) {G2,W7,D3,L1,V0,M1} R(5043,7) { perp( skol25, skol28,
% 28.77/29.18 skol12( skol25, skol28 ), skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol28
% 28.77/29.18 Z := skol12( skol25, skol28 )
% 28.77/29.18 T := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (7562) {G3,W7,D3,L1,V0,M1} R(7551,6) { perp( skol25, skol28,
% 28.77/29.18 skol25, skol12( skol25, skol28 ) ) }.
% 28.77/29.18 parent0: (70652) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol28, skol25,
% 28.77/29.18 skol12( skol25, skol28 ) ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70653) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 28.77/29.18 skol28 ), skol25, skol28 ) }.
% 28.77/29.18 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 28.77/29.18 X, Y ) }.
% 28.77/29.18 parent1[0]: (7562) {G3,W7,D3,L1,V0,M1} R(7551,6) { perp( skol25, skol28,
% 28.77/29.18 skol25, skol12( skol25, skol28 ) ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol28
% 28.77/29.18 Z := skol25
% 28.77/29.18 T := skol12( skol25, skol28 )
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (7583) {G4,W7,D3,L1,V0,M1} R(7562,7) { perp( skol25, skol12(
% 28.77/29.18 skol25, skol28 ), skol25, skol28 ) }.
% 28.77/29.18 parent0: (70653) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 28.77/29.18 skol28 ), skol25, skol28 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70654) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 28.77/29.18 , skol28 ), skol25, skol28 ), alpha1( skol25, skol25, skol28 ) }.
% 28.77/29.18 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 28.77/29.18 T, X, Z ), alpha1( X, Y, Z ) }.
% 28.77/29.18 parent1[0]: (7583) {G4,W7,D3,L1,V0,M1} R(7562,7) { perp( skol25, skol12(
% 28.77/29.18 skol25, skol28 ), skol25, skol28 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol28
% 28.77/29.18 T := skol12( skol25, skol28 )
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70655) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol28 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (70654) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 28.77/29.18 , skol28 ), skol25, skol28 ), alpha1( skol25, skol25, skol28 ) }.
% 28.77/29.18 parent1[0]: (7583) {G4,W7,D3,L1,V0,M1} R(7562,7) { perp( skol25, skol12(
% 28.77/29.18 skol25, skol28 ), skol25, skol28 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (7618) {G5,W4,D2,L1,V0,M1} R(7583,96);r(7583) { alpha1( skol25
% 28.77/29.18 , skol25, skol28 ) }.
% 28.77/29.18 parent0: (70655) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol28 )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70656) {G6,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol28 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (4554) {G11,W8,D2,L2,V3,M2} R(97,838) { ! alpha1( X, Y, Z ),
% 28.77/29.18 coll( X, X, Z ) }.
% 28.77/29.18 parent1[0]: (7618) {G5,W4,D2,L1,V0,M1} R(7583,96);r(7583) { alpha1( skol25
% 28.77/29.18 , skol25, skol28 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol25
% 28.77/29.18 Z := skol28
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (7630) {G12,W4,D2,L1,V0,M1} R(7618,4554) { coll( skol25,
% 28.77/29.18 skol25, skol28 ) }.
% 28.77/29.18 parent0: (70656) {G6,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol28 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70657) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (189) {G5,W8,D2,L2,V1,M2} R(2,183) { ! coll( skol25, skol26, X
% 28.77/29.18 ), coll( skol23, X, skol25 ) }.
% 28.77/29.18 parent1[0]: (223) {G4,W4,D2,L1,V0,M1} R(184,1) { coll( skol25, skol26,
% 28.77/29.18 skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol22
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (10137) {G6,W4,D2,L1,V0,M1} R(189,223) { coll( skol23, skol22
% 28.77/29.18 , skol25 ) }.
% 28.77/29.18 parent0: (70657) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70658) {G7,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol23 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[1]: (836) {G10,W8,D2,L2,V3,M2} R(835,831) { coll( X, X, Y ), ! coll
% 28.77/29.18 ( Y, X, Z ) }.
% 28.77/29.18 parent1[0]: (10137) {G6,W4,D2,L1,V0,M1} R(189,223) { coll( skol23, skol22,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := skol23
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (10156) {G11,W4,D2,L1,V0,M1} R(10137,836) { coll( skol22,
% 28.77/29.18 skol22, skol23 ) }.
% 28.77/29.18 parent0: (70658) {G7,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70659) {G2,W12,D2,L3,V2,M3} { coll( skol23, X, skol22 ), !
% 28.77/29.18 coll( X, Y, skol22 ), ! coll( X, Y, skol22 ) }.
% 28.77/29.18 parent0[0]: (186) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z
% 28.77/29.18 , T, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 28.77/29.18 parent1[0]: (10156) {G11,W4,D2,L1,V0,M1} R(10137,836) { coll( skol22,
% 28.77/29.18 skol22, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := skol22
% 28.77/29.18 Z := skol23
% 28.77/29.18 T := X
% 28.77/29.18 U := Y
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 factor: (70662) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol22 ), ! coll( X
% 28.77/29.18 , Y, skol22 ) }.
% 28.77/29.18 parent0[1, 2]: (70659) {G2,W12,D2,L3,V2,M3} { coll( skol23, X, skol22 ), !
% 28.77/29.18 coll( X, Y, skol22 ), ! coll( X, Y, skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (10264) {G12,W8,D2,L2,V2,M2} R(10156,186);f { coll( skol23, X
% 28.77/29.18 , skol22 ), ! coll( X, Y, skol22 ) }.
% 28.77/29.18 parent0: (70662) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol22 ), ! coll(
% 28.77/29.18 X, Y, skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70663) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol22 ), !
% 28.77/29.18 coll( skol22, Y, X ) }.
% 28.77/29.18 parent0[1]: (10264) {G12,W8,D2,L2,V2,M2} R(10156,186);f { coll( skol23, X,
% 28.77/29.18 skol22 ), ! coll( X, Y, skol22 ) }.
% 28.77/29.18 parent1[1]: (129) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 28.77/29.18 , X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := X
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := Y
% 28.77/29.18 Z := X
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (14304) {G13,W8,D2,L2,V2,M2} R(10264,129) { coll( skol23, X,
% 28.77/29.18 skol22 ), ! coll( skol22, Y, X ) }.
% 28.77/29.18 parent0: (70663) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol22 ), ! coll(
% 28.77/29.18 skol22, Y, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70665) {G2,W8,D2,L2,V2,M2} { coll( X, skol22, skol23 ), !
% 28.77/29.18 coll( skol22, Y, X ) }.
% 28.77/29.18 parent0[0]: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 28.77/29.18 Z, X ) }.
% 28.77/29.18 parent1[0]: (14304) {G13,W8,D2,L2,V2,M2} R(10264,129) { coll( skol23, X,
% 28.77/29.18 skol22 ), ! coll( skol22, Y, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol23
% 28.77/29.18 Y := X
% 28.77/29.18 Z := skol22
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (17450) {G14,W8,D2,L2,V2,M2} R(14304,176) { ! coll( skol22, X
% 28.77/29.18 , Y ), coll( Y, skol22, skol23 ) }.
% 28.77/29.18 parent0: (70665) {G2,W8,D2,L2,V2,M2} { coll( X, skol22, skol23 ), ! coll(
% 28.77/29.18 skol22, Y, X ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := Y
% 28.77/29.18 Y := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 1
% 28.77/29.18 1 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70666) {G3,W8,D2,L2,V0,M2} { coll( skol24, skol22, skol25 ),
% 28.77/29.18 ! coll( skol22, skol26, skol25 ) }.
% 28.77/29.18 parent0[0]: (499) {G5,W8,D2,L2,V1,M2} R(495,2) { ! coll( skol25, skol25, X
% 28.77/29.18 ), coll( skol24, X, skol25 ) }.
% 28.77/29.18 parent1[1]: (200) {G2,W8,D2,L2,V1,M2} R(2,168) { ! coll( skol22, skol26, X
% 28.77/29.18 ), coll( X, skol25, skol22 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol22
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := skol25
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70667) {G2,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[1]: (70666) {G3,W8,D2,L2,V0,M2} { coll( skol24, skol22, skol25 ),
% 28.77/29.18 ! coll( skol22, skol26, skol25 ) }.
% 28.77/29.18 parent1[0]: (168) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol26,
% 28.77/29.18 skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (33317) {G6,W4,D2,L1,V0,M1} R(499,200);r(168) { coll( skol24,
% 28.77/29.18 skol22, skol25 ) }.
% 28.77/29.18 parent0: (70667) {G2,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70668) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol24 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 28.77/29.18 Z, X ) }.
% 28.77/29.18 parent1[0]: (33317) {G6,W4,D2,L1,V0,M1} R(499,200);r(168) { coll( skol24,
% 28.77/29.18 skol22, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 Y := skol22
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (33380) {G7,W4,D2,L1,V0,M1} R(33317,176) { coll( skol22,
% 28.77/29.18 skol25, skol24 ) }.
% 28.77/29.18 parent0: (70668) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70669) {G8,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol23 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (17450) {G14,W8,D2,L2,V2,M2} R(14304,176) { ! coll( skol22, X,
% 28.77/29.18 Y ), coll( Y, skol22, skol23 ) }.
% 28.77/29.18 parent1[0]: (33380) {G7,W4,D2,L1,V0,M1} R(33317,176) { coll( skol22, skol25
% 28.77/29.18 , skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol25
% 28.77/29.18 Y := skol24
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (33394) {G15,W4,D2,L1,V0,M1} R(33380,17450) { coll( skol24,
% 28.77/29.18 skol22, skol23 ) }.
% 28.77/29.18 parent0: (70669) {G8,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70670) {G6,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol23 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (808) {G5,W8,D2,L2,V3,M2} R(491,0) { ! coll( X, Y, Z ), coll( X
% 28.77/29.18 , X, Z ) }.
% 28.77/29.18 parent1[0]: (33394) {G15,W4,D2,L1,V0,M1} R(33380,17450) { coll( skol24,
% 28.77/29.18 skol22, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 Y := skol22
% 28.77/29.18 Z := skol23
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (33439) {G16,W4,D2,L1,V0,M1} R(33394,808) { coll( skol24,
% 28.77/29.18 skol24, skol23 ) }.
% 28.77/29.18 parent0: (70670) {G6,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70671) {G8,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol25 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (506) {G7,W8,D2,L2,V1,M2} R(503,2) { ! coll( skol25, skol25, X
% 28.77/29.18 ), coll( X, skol27, skol25 ) }.
% 28.77/29.18 parent1[0]: (7630) {G12,W4,D2,L1,V0,M1} R(7618,4554) { coll( skol25, skol25
% 28.77/29.18 , skol28 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol28
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (33844) {G13,W4,D2,L1,V0,M1} R(506,7630) { coll( skol28,
% 28.77/29.18 skol27, skol25 ) }.
% 28.77/29.18 parent0: (70671) {G8,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70672) {G2,W8,D2,L2,V0,M2} { coll( skol24, skol26, skol23 ),
% 28.77/29.18 ! coll( skol24, skol24, skol23 ) }.
% 28.77/29.18 parent0[0]: (215) {G1,W8,D2,L2,V1,M2} R(2,125) { ! coll( skol23, skol25, X
% 28.77/29.18 ), coll( X, skol26, skol23 ) }.
% 28.77/29.18 parent1[1]: (525) {G5,W8,D2,L2,V1,M2} R(522,2) { ! coll( skol24, skol24, X
% 28.77/29.18 ), coll( X, skol25, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := skol23
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70673) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol23 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[1]: (70672) {G2,W8,D2,L2,V0,M2} { coll( skol24, skol26, skol23 ),
% 28.77/29.18 ! coll( skol24, skol24, skol23 ) }.
% 28.77/29.18 parent1[0]: (33439) {G16,W4,D2,L1,V0,M1} R(33394,808) { coll( skol24,
% 28.77/29.18 skol24, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (34823) {G17,W4,D2,L1,V0,M1} R(525,215);r(33439) { coll(
% 28.77/29.18 skol24, skol26, skol23 ) }.
% 28.77/29.18 parent0: (70673) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70674) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol23, skol24 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 28.77/29.18 Z, X ) }.
% 28.77/29.18 parent1[0]: (34823) {G17,W4,D2,L1,V0,M1} R(525,215);r(33439) { coll( skol24
% 28.77/29.18 , skol26, skol23 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 Y := skol26
% 28.77/29.18 Z := skol23
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (34870) {G18,W4,D2,L1,V0,M1} R(34823,176) { coll( skol26,
% 28.77/29.18 skol23, skol24 ) }.
% 28.77/29.18 parent0: (70674) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol23, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70675) {G4,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (194) {G3,W8,D2,L2,V1,M2} R(2,171) { ! coll( skol26, skol23, X
% 28.77/29.18 ), coll( X, skol25, skol26 ) }.
% 28.77/29.18 parent1[0]: (34870) {G18,W4,D2,L1,V0,M1} R(34823,176) { coll( skol26,
% 28.77/29.18 skol23, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol24
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (34891) {G19,W4,D2,L1,V0,M1} R(34870,194) { coll( skol24,
% 28.77/29.18 skol25, skol26 ) }.
% 28.77/29.18 parent0: (70675) {G4,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70676) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol27, skol24 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (217) {G1,W8,D2,L2,V1,M2} R(2,127) { ! coll( skol24, skol25, X
% 28.77/29.18 ), coll( X, skol27, skol24 ) }.
% 28.77/29.18 parent1[0]: (34891) {G19,W4,D2,L1,V0,M1} R(34870,194) { coll( skol24,
% 28.77/29.18 skol25, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol26
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (34906) {G20,W4,D2,L1,V0,M1} R(34891,217) { coll( skol26,
% 28.77/29.18 skol27, skol24 ) }.
% 28.77/29.18 parent0: (70676) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol27, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70677) {G11,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol26 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[1]: (836) {G10,W8,D2,L2,V3,M2} R(835,831) { coll( X, X, Y ), ! coll
% 28.77/29.18 ( Y, X, Z ) }.
% 28.77/29.18 parent1[0]: (34906) {G20,W4,D2,L1,V0,M1} R(34891,217) { coll( skol26,
% 28.77/29.18 skol27, skol24 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol27
% 28.77/29.18 Y := skol26
% 28.77/29.18 Z := skol24
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (34974) {G21,W4,D2,L1,V0,M1} R(34906,836) { coll( skol27,
% 28.77/29.18 skol27, skol26 ) }.
% 28.77/29.18 parent0: (70677) {G11,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70678) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol27, X, skol27,
% 28.77/29.18 skol26, skol27, X, skol27, skol26 ), cyclic( X, skol26, skol27, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 28.77/29.18 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 28.77/29.18 parent1[0]: (34974) {G21,W4,D2,L1,V0,M1} R(34906,836) { coll( skol27,
% 28.77/29.18 skol27, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := skol26
% 28.77/29.18 Z := skol27
% 28.77/29.18 T := skol27
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (36199) {G22,W14,D2,L2,V1,M2} R(34974,42) { ! eqangle( skol27
% 28.77/29.18 , X, skol27, skol26, skol27, X, skol27, skol26 ), cyclic( X, skol26,
% 28.77/29.18 skol27, skol27 ) }.
% 28.77/29.18 parent0: (70678) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol27, X, skol27,
% 28.77/29.18 skol26, skol27, X, skol27, skol26 ), cyclic( X, skol26, skol27, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 1 ==> 1
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70679) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 28.77/29.18 }.
% 28.77/29.18 parent1[0]: (33844) {G13,W4,D2,L1,V0,M1} R(506,7630) { coll( skol28, skol27
% 28.77/29.18 , skol25 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol28
% 28.77/29.18 Y := skol27
% 28.77/29.18 Z := skol25
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (37630) {G14,W4,D2,L1,V0,M1} R(33844,0) { coll( skol28, skol25
% 28.77/29.18 , skol27 ) }.
% 28.77/29.18 parent0: (70679) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70680) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol26,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 parent0[0]: (1561) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol28, skol25,
% 28.77/29.18 skol27 ), perp( skol25, skol26, skol26, skol27 ) }.
% 28.77/29.18 parent1[0]: (37630) {G14,W4,D2,L1,V0,M1} R(33844,0) { coll( skol28, skol25
% 28.77/29.18 , skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (40022) {G15,W5,D2,L1,V0,M1} S(1561);r(37630) { perp( skol25,
% 28.77/29.18 skol26, skol26, skol27 ) }.
% 28.77/29.18 parent0: (70680) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol26,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70681) {G5,W5,D2,L1,V0,M1} { para( skol31, skol22, skol26,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 parent0[0]: (385) {G4,W10,D2,L2,V2,M2} R(383,8) { ! perp( skol25, skol26, X
% 28.77/29.18 , Y ), para( skol31, skol22, X, Y ) }.
% 28.77/29.18 parent1[0]: (40022) {G15,W5,D2,L1,V0,M1} S(1561);r(37630) { perp( skol25,
% 28.77/29.18 skol26, skol26, skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol26
% 28.77/29.18 Y := skol27
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (46395) {G16,W5,D2,L1,V0,M1} R(40022,385) { para( skol31,
% 28.77/29.18 skol22, skol26, skol27 ) }.
% 28.77/29.18 parent0: (70681) {G5,W5,D2,L1,V0,M1} { para( skol31, skol22, skol26,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70682) {G2,W5,D2,L1,V0,M1} { para( skol26, skol27, skol22,
% 28.77/29.18 skol31 ) }.
% 28.77/29.18 parent0[0]: (243) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 28.77/29.18 ( Z, T, Y, X ) }.
% 28.77/29.18 parent1[0]: (46395) {G16,W5,D2,L1,V0,M1} R(40022,385) { para( skol31,
% 28.77/29.18 skol22, skol26, skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol31
% 28.77/29.18 Y := skol22
% 28.77/29.18 Z := skol26
% 28.77/29.18 T := skol27
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (46498) {G17,W5,D2,L1,V0,M1} R(46395,243) { para( skol26,
% 28.77/29.18 skol27, skol22, skol31 ) }.
% 28.77/29.18 parent0: (70682) {G2,W5,D2,L1,V0,M1} { para( skol26, skol27, skol22,
% 28.77/29.18 skol31 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70683) {G2,W5,D2,L1,V0,M1} { para( skol22, skol31, skol27,
% 28.77/29.18 skol26 ) }.
% 28.77/29.18 parent0[0]: (243) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 28.77/29.18 ( Z, T, Y, X ) }.
% 28.77/29.18 parent1[0]: (46498) {G17,W5,D2,L1,V0,M1} R(46395,243) { para( skol26,
% 28.77/29.18 skol27, skol22, skol31 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol26
% 28.77/29.18 Y := skol27
% 28.77/29.18 Z := skol22
% 28.77/29.18 T := skol31
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (46534) {G18,W5,D2,L1,V0,M1} R(46498,243) { para( skol22,
% 28.77/29.18 skol31, skol27, skol26 ) }.
% 28.77/29.18 parent0: (70683) {G2,W5,D2,L1,V0,M1} { para( skol22, skol31, skol27,
% 28.77/29.18 skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70684) {G3,W5,D2,L1,V0,M1} { para( skol27, skol26, skol27,
% 28.77/29.18 skol26 ) }.
% 28.77/29.18 parent0[0]: (259) {G2,W10,D2,L2,V4,M2} F(253) { ! para( X, Y, Z, T ), para
% 28.77/29.18 ( Z, T, Z, T ) }.
% 28.77/29.18 parent1[0]: (46534) {G18,W5,D2,L1,V0,M1} R(46498,243) { para( skol22,
% 28.77/29.18 skol31, skol27, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol22
% 28.77/29.18 Y := skol31
% 28.77/29.18 Z := skol27
% 28.77/29.18 T := skol26
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (46555) {G19,W5,D2,L1,V0,M1} R(46534,259) { para( skol27,
% 28.77/29.18 skol26, skol27, skol26 ) }.
% 28.77/29.18 parent0: (70684) {G3,W5,D2,L1,V0,M1} { para( skol27, skol26, skol27,
% 28.77/29.18 skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70685) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol26, X
% 28.77/29.18 , Y, skol27, skol26 ) }.
% 28.77/29.18 parent0[0]: (783) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 28.77/29.18 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 28.77/29.18 parent1[0]: (46555) {G19,W5,D2,L1,V0,M1} R(46534,259) { para( skol27,
% 28.77/29.18 skol26, skol27, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol27
% 28.77/29.18 Y := skol26
% 28.77/29.18 Z := skol27
% 28.77/29.18 T := skol26
% 28.77/29.18 U := X
% 28.77/29.18 W := Y
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (47417) {G20,W9,D2,L1,V2,M1} R(783,46555) { eqangle( X, Y,
% 28.77/29.18 skol27, skol26, X, Y, skol27, skol26 ) }.
% 28.77/29.18 parent0: (70685) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol26, X, Y
% 28.77/29.18 , skol27, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 Y := Y
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70686) {G21,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol27,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 parent0[0]: (36199) {G22,W14,D2,L2,V1,M2} R(34974,42) { ! eqangle( skol27,
% 28.77/29.18 X, skol27, skol26, skol27, X, skol27, skol26 ), cyclic( X, skol26, skol27
% 28.77/29.18 , skol27 ) }.
% 28.77/29.18 parent1[0]: (47417) {G20,W9,D2,L1,V2,M1} R(783,46555) { eqangle( X, Y,
% 28.77/29.18 skol27, skol26, X, Y, skol27, skol26 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := skol27
% 28.77/29.18 Y := X
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (60028) {G23,W5,D2,L1,V1,M1} S(36199);r(47417) { cyclic( X,
% 28.77/29.18 skol26, skol27, skol27 ) }.
% 28.77/29.18 parent0: (70686) {G21,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol27, skol27
% 28.77/29.18 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18 permutation0:
% 28.77/29.18 0 ==> 0
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 resolution: (70687) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol27,
% 28.77/29.18 skol27 ) }.
% 28.77/29.18 parent0[1]: (419) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 28.77/29.18 cyclic( Y, X, T, Z ) }.
% 28.77/29.18 parent1[0]: (60028) {G23,W5,D2,L1,V1,M1} S(36199);r(47417) { cyclic( X,
% 28.77/29.18 skol26, skol27, skol27 ) }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := skol26
% 28.77/29.18 Y := X
% 28.77/29.18 Z := skol27
% 28.77/29.18 T := skol27
% 28.77/29.18 end
% 28.77/29.18 substitution1:
% 28.77/29.18 X := X
% 28.77/29.18 end
% 28.77/29.18
% 28.77/29.18 subsumption: (60163) {G24,W5,D2,L1,V1,M1} R(60028,419) { cyclic( skol26, X
% 28.77/29.18 , skol27, skol27 ) }.
% 28.77/29.18 parent0: (70687) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol27, skol27 )
% 28.77/29.18 }.
% 28.77/29.18 substitution0:
% 28.77/29.18 X := X
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70688) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27,
% 28.77/29.19 skol27 ) }.
% 28.77/29.19 parent0[0]: (453) {G2,W10,D2,L2,V4,M2} F(444) { ! cyclic( X, Y, Z, T ),
% 28.77/29.19 cyclic( Z, Y, T, T ) }.
% 28.77/29.19 parent1[0]: (60163) {G24,W5,D2,L1,V1,M1} R(60028,419) { cyclic( skol26, X,
% 28.77/29.19 skol27, skol27 ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := skol26
% 28.77/29.19 Y := X
% 28.77/29.19 Z := skol27
% 28.77/29.19 T := skol27
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (60175) {G25,W5,D2,L1,V1,M1} R(60163,453) { cyclic( skol27, X
% 28.77/29.19 , skol27, skol27 ) }.
% 28.77/29.19 parent0: (70688) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27, skol27 )
% 28.77/29.19 }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70689) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X,
% 28.77/29.19 skol27 ) }.
% 28.77/29.19 parent0[1]: (417) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 28.77/29.19 cyclic( Y, Z, X, T ) }.
% 28.77/29.19 parent1[0]: (60175) {G25,W5,D2,L1,V1,M1} R(60163,453) { cyclic( skol27, X,
% 28.77/29.19 skol27, skol27 ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := skol27
% 28.77/29.19 Y := skol27
% 28.77/29.19 Z := X
% 28.77/29.19 T := skol27
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (60221) {G26,W5,D2,L1,V1,M1} R(60175,417) { cyclic( skol27,
% 28.77/29.19 skol27, X, skol27 ) }.
% 28.77/29.19 parent0: (70689) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X, skol27 )
% 28.77/29.19 }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70690) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27,
% 28.77/29.19 X ) }.
% 28.77/29.19 parent0[0]: (400) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 28.77/29.19 cyclic( X, Z, T, Y ) }.
% 28.77/29.19 parent1[0]: (60175) {G25,W5,D2,L1,V1,M1} R(60163,453) { cyclic( skol27, X,
% 28.77/29.19 skol27, skol27 ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := skol27
% 28.77/29.19 Y := X
% 28.77/29.19 Z := skol27
% 28.77/29.19 T := skol27
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (60222) {G26,W5,D2,L1,V1,M1} R(60175,400) { cyclic( skol27,
% 28.77/29.19 skol27, skol27, X ) }.
% 28.77/29.19 parent0: (70690) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27, X )
% 28.77/29.19 }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70692) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 28.77/29.19 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 28.77/29.19 parent0[2]: (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 28.77/29.19 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 28.77/29.19 parent1[0]: (60221) {G26,W5,D2,L1,V1,M1} R(60175,417) { cyclic( skol27,
% 28.77/29.19 skol27, X, skol27 ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := skol27
% 28.77/29.19 Y := skol27
% 28.77/29.19 Z := skol27
% 28.77/29.19 T := X
% 28.77/29.19 U := Y
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := Y
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70693) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y )
% 28.77/29.19 }.
% 28.77/29.19 parent0[0]: (70692) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 28.77/29.19 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 28.77/29.19 parent1[0]: (60222) {G26,W5,D2,L1,V1,M1} R(60175,400) { cyclic( skol27,
% 28.77/29.19 skol27, skol27, X ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (60227) {G27,W5,D2,L1,V2,M1} R(60221,449);r(60222) { cyclic(
% 28.77/29.19 skol27, skol27, X, Y ) }.
% 28.77/29.19 parent0: (70693) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70694) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 28.77/29.19 cyclic( skol27, skol27, Z, X ) }.
% 28.77/29.19 parent0[0]: (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 28.77/29.19 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 28.77/29.19 parent1[0]: (60227) {G27,W5,D2,L1,V2,M1} R(60221,449);r(60222) { cyclic(
% 28.77/29.19 skol27, skol27, X, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := skol27
% 28.77/29.19 Y := skol27
% 28.77/29.19 Z := X
% 28.77/29.19 T := Y
% 28.77/29.19 U := Z
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70696) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 28.77/29.19 parent0[1]: (70694) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 28.77/29.19 cyclic( skol27, skol27, Z, X ) }.
% 28.77/29.19 parent1[0]: (60227) {G27,W5,D2,L1,V2,M1} R(60221,449);r(60222) { cyclic(
% 28.77/29.19 skol27, skol27, X, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := Z
% 28.77/29.19 Y := X
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (60249) {G28,W5,D2,L1,V3,M1} R(60227,449);r(60227) { cyclic(
% 28.77/29.19 skol27, X, Y, Z ) }.
% 28.77/29.19 parent0: (70696) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70697) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 28.77/29.19 ( skol27, X, T, Y ) }.
% 28.77/29.19 parent0[0]: (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 28.77/29.19 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 28.77/29.19 parent1[0]: (60249) {G28,W5,D2,L1,V3,M1} R(60227,449);r(60227) { cyclic(
% 28.77/29.19 skol27, X, Y, Z ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := skol27
% 28.77/29.19 Y := X
% 28.77/29.19 Z := Y
% 28.77/29.19 T := Z
% 28.77/29.19 U := T
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70699) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 28.77/29.19 parent0[1]: (70697) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 28.77/29.19 ( skol27, X, T, Y ) }.
% 28.77/29.19 parent1[0]: (60249) {G28,W5,D2,L1,V3,M1} R(60227,449);r(60227) { cyclic(
% 28.77/29.19 skol27, X, Y, Z ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 T := T
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := T
% 28.77/29.19 Z := Y
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (60268) {G29,W5,D2,L1,V4,M1} R(60249,449);r(60249) { cyclic( X
% 28.77/29.19 , Y, Z, T ) }.
% 28.77/29.19 parent0: (70699) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 T := T
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70702) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 28.77/29.19 , Y, X, Y ) }.
% 28.77/29.19 parent0[0]: (1024) {G2,W15,D2,L3,V3,M3} F(992) { ! cyclic( X, Y, Z, X ), !
% 28.77/29.19 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 28.77/29.19 parent1[0]: (60268) {G29,W5,D2,L1,V4,M1} R(60249,449);r(60249) { cyclic( X
% 28.77/29.19 , Y, Z, T ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 T := X
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70704) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 28.77/29.19 parent0[0]: (70702) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 28.77/29.19 , Y, X, Y ) }.
% 28.77/29.19 parent1[0]: (60268) {G29,W5,D2,L1,V4,M1} R(60249,449);r(60249) { cyclic( X
% 28.77/29.19 , Y, Z, T ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 T := Y
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (69638) {G30,W5,D2,L1,V2,M1} S(1024);r(60268);r(60268) { cong
% 28.77/29.19 ( X, Y, X, Y ) }.
% 28.77/29.19 parent0: (70704) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70705) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 28.77/29.19 X, Y, Z ) }.
% 28.77/29.19 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 28.77/29.19 T, Y, T ), perp( X, Y, Z, T ) }.
% 28.77/29.19 parent1[0]: (69638) {G30,W5,D2,L1,V2,M1} S(1024);r(60268);r(60268) { cong(
% 28.77/29.19 X, Y, X, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := X
% 28.77/29.19 Z := Y
% 28.77/29.19 T := Z
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70707) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 28.77/29.19 parent0[0]: (70705) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 28.77/29.19 X, Y, Z ) }.
% 28.77/29.19 parent1[0]: (69638) {G30,W5,D2,L1,V2,M1} S(1024);r(60268);r(60268) { cong(
% 28.77/29.19 X, Y, X, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Z
% 28.77/29.19 Z := Y
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (69655) {G31,W5,D2,L1,V3,M1} R(69638,56);r(69638) { perp( X, X
% 28.77/29.19 , Z, Y ) }.
% 28.77/29.19 parent0: (70707) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70708) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 28.77/29.19 X, T, U ) }.
% 28.77/29.19 parent0[0]: (292) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 28.77/29.19 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 28.77/29.19 parent1[0]: (69655) {G31,W5,D2,L1,V3,M1} R(69638,56);r(69638) { perp( X, X
% 28.77/29.19 , Z, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := X
% 28.77/29.19 Z := Y
% 28.77/29.19 T := Z
% 28.77/29.19 U := T
% 28.77/29.19 W := U
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Z
% 28.77/29.19 Z := Y
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70710) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 28.77/29.19 parent0[1]: (70708) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 28.77/29.19 X, T, U ) }.
% 28.77/29.19 parent1[0]: (69655) {G31,W5,D2,L1,V3,M1} R(69638,56);r(69638) { perp( X, X
% 28.77/29.19 , Z, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := U
% 28.77/29.19 Y := Z
% 28.77/29.19 Z := T
% 28.77/29.19 T := X
% 28.77/29.19 U := Y
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := U
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := X
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (69696) {G32,W5,D2,L1,V4,M1} R(69655,292);r(69655) { para( X,
% 28.77/29.19 Y, Z, T ) }.
% 28.77/29.19 parent0: (70710) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 T := T
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70711) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 28.77/29.19 Y, T, U ) }.
% 28.77/29.19 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 28.77/29.19 , Z, T ), perp( X, Y, Z, T ) }.
% 28.77/29.19 parent1[0]: (69655) {G31,W5,D2,L1,V3,M1} R(69638,56);r(69638) { perp( X, X
% 28.77/29.19 , Z, Y ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := T
% 28.77/29.19 T := U
% 28.77/29.19 U := Z
% 28.77/29.19 W := Z
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := Z
% 28.77/29.19 Y := U
% 28.77/29.19 Z := T
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70712) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 28.77/29.19 parent0[0]: (70711) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 28.77/29.19 Y, T, U ) }.
% 28.77/29.19 parent1[0]: (69696) {G32,W5,D2,L1,V4,M1} R(69655,292);r(69655) { para( X, Y
% 28.77/29.19 , Z, T ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 T := T
% 28.77/29.19 U := U
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 T := Z
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (69718) {G33,W5,D2,L1,V4,M1} R(69655,9);r(69696) { perp( X, Y
% 28.77/29.19 , T, U ) }.
% 28.77/29.19 parent0: (70712) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := W
% 28.77/29.19 T := T
% 28.77/29.19 U := U
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 0 ==> 0
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70713) {G3,W5,D2,L1,V2,M1} { ! perp( X, Y, skol23, skol24 )
% 28.77/29.19 }.
% 28.77/29.19 parent0[0]: (336) {G2,W10,D2,L2,V2,M2} R(277,9) { ! para( skol22, skol20, X
% 28.77/29.19 , Y ), ! perp( X, Y, skol23, skol24 ) }.
% 28.77/29.19 parent1[0]: (69696) {G32,W5,D2,L1,V4,M1} R(69655,292);r(69655) { para( X, Y
% 28.77/29.19 , Z, T ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := skol22
% 28.77/29.19 Y := skol20
% 28.77/29.19 Z := X
% 28.77/29.19 T := Y
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 resolution: (70714) {G4,W0,D0,L0,V0,M0} { }.
% 28.77/29.19 parent0[0]: (70713) {G3,W5,D2,L1,V2,M1} { ! perp( X, Y, skol23, skol24 )
% 28.77/29.19 }.
% 28.77/29.19 parent1[0]: (69718) {G33,W5,D2,L1,V4,M1} R(69655,9);r(69696) { perp( X, Y,
% 28.77/29.19 T, U ) }.
% 28.77/29.19 substitution0:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 end
% 28.77/29.19 substitution1:
% 28.77/29.19 X := X
% 28.77/29.19 Y := Y
% 28.77/29.19 Z := Z
% 28.77/29.19 T := skol23
% 28.77/29.19 U := skol24
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 subsumption: (69823) {G34,W0,D0,L0,V0,M0} R(69696,336);r(69718) { }.
% 28.77/29.19 parent0: (70714) {G4,W0,D0,L0,V0,M0} { }.
% 28.77/29.19 substitution0:
% 28.77/29.19 end
% 28.77/29.19 permutation0:
% 28.77/29.19 end
% 28.77/29.19
% 28.77/29.19 Proof check complete!
% 28.77/29.19
% 28.77/29.19 Memory use:
% 28.77/29.19
% 28.77/29.19 space for terms: 930118
% 28.77/29.19 space for clauses: 3052436
% 28.77/29.19
% 28.77/29.19
% 28.77/29.19 clauses generated: 596530
% 28.77/29.19 clauses kept: 69824
% 28.77/29.19 clauses selected: 3569
% 28.77/29.19 clauses deleted: 7391
% 28.77/29.19 clauses inuse deleted: 234
% 28.77/29.19
% 28.77/29.19 subsentry: 30633536
% 28.77/29.19 literals s-matched: 18544126
% 28.77/29.19 literals matched: 10161177
% 28.77/29.19 full subsumption: 3527709
% 28.77/29.19
% 28.77/29.19 checksum: 1009037756
% 28.77/29.19
% 28.77/29.19
% 28.77/29.19 Bliksem ended
%------------------------------------------------------------------------------