%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO583+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:53 EDT 2022
% Result : Theorem 24.22s 24.63s
% Output : Refutation 24.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO583+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 00:54:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.17 *** allocated 10000 integers for termspace/termends
% 0.44/1.17 *** allocated 10000 integers for clauses
% 0.44/1.17 *** allocated 10000 integers for justifications
% 0.44/1.17 Bliksem 1.12
% 0.44/1.17
% 0.44/1.17
% 0.44/1.17 Automatic Strategy Selection
% 0.44/1.17
% 0.44/1.17 *** allocated 15000 integers for termspace/termends
% 0.44/1.17
% 0.44/1.17 Clauses:
% 0.44/1.17
% 0.44/1.17 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.44/1.17 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.44/1.17 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.44/1.17 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.44/1.17 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.44/1.17 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.44/1.17 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.44/1.17 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.44/1.17 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.44/1.17 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.44/1.17 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.44/1.17 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.44/1.17 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.44/1.17 ( X, Y, Z, T ) }.
% 0.44/1.17 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.44/1.17 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.44/1.17 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.44/1.17 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.44/1.17 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.44/1.17 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.44/1.17 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.44/1.17 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.44/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.44/1.17 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.44/1.17 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.44/1.17 ( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.44/1.17 ( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.44/1.17 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.44/1.17 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.44/1.17 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.44/1.17 T ) }.
% 0.44/1.17 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.44/1.17 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.44/1.17 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.44/1.17 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.44/1.17 ) }.
% 0.44/1.17 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.44/1.17 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.44/1.17 }.
% 0.44/1.17 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.44/1.17 Z, Y ) }.
% 0.44/1.17 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.44/1.17 X, Z ) }.
% 0.44/1.17 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.44/1.17 U ) }.
% 0.44/1.17 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.44/1.17 , Z ), midp( Z, X, Y ) }.
% 0.44/1.17 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.44/1.17 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.44/1.17 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.44/1.17 Z, Y ) }.
% 0.44/1.17 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.44/1.17 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.44/1.17 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.44/1.17 ( Y, X, X, Z ) }.
% 0.44/1.17 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.44/1.17 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.17 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.44/1.17 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.44/1.17 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.44/1.17 , W ) }.
% 0.44/1.17 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.44/1.17 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.44/1.17 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.44/1.17 , Y ) }.
% 0.44/1.17 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.44/1.17 , X, Z, U, Y, Y, T ) }.
% 0.44/1.17 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.44/1.17 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.44/1.17 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.44/1.17 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.44/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.44/1.17 .
% 0.44/1.17 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.44/1.17 , Z, T ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.44/1.17 , Z, T ) }.
% 0.44/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.44/1.17 , Z, T ) }.
% 0.44/1.17 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.44/1.17 , W, Z, T ), Z, T ) }.
% 0.44/1.17 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.44/1.17 , Y, Z, T ), X, Y ) }.
% 0.44/1.17 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.44/1.17 , W, Z, T ), Z, T ) }.
% 0.44/1.17 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.44/1.17 skol2( X, Y, Z, T ) ) }.
% 0.44/1.17 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.44/1.17 , W, Z, T ), Z, T ) }.
% 0.44/1.17 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.44/1.17 skol3( X, Y, Z, T ) ) }.
% 0.44/1.17 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.44/1.17 , T ) }.
% 0.44/1.17 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.44/1.17 ) ) }.
% 0.44/1.17 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.44/1.17 skol5( W, Y, Z, T ) ) }.
% 0.44/1.17 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.44/1.17 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.44/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.44/1.17 , X, T ) }.
% 0.44/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.44/1.17 W, X, Z ) }.
% 0.44/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.44/1.17 , Y, T ) }.
% 0.44/1.17 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.44/1.17 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.44/1.17 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.44/1.17 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.44/1.17 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.44/1.17 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.44/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.44/1.17 Z, T ) ) }.
% 0.44/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.44/1.17 , T ) ) }.
% 0.44/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.44/1.17 , X, Y ) }.
% 0.44/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.44/1.17 ) }.
% 0.44/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.44/1.17 , Y ) }.
% 0.44/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.44/1.17 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.44/1.17 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.44/1.17 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.44/1.17 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.51/3.92 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.51/3.92 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.51/3.92 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.51/3.92 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.51/3.92 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.51/3.92 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.51/3.92 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.51/3.92 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.51/3.92 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.51/3.92 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.51/3.92 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.51/3.92 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.51/3.92 X, Y, Z ) }.
% 3.51/3.92 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.51/3.92 }.
% 3.51/3.92 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.51/3.92 ) }.
% 3.51/3.92 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.51/3.92 skol17( X, Y ), X, Y ) }.
% 3.51/3.92 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.51/3.92 }.
% 3.51/3.92 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.51/3.92 ) }.
% 3.51/3.92 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.51/3.92 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.51/3.92 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.51/3.92 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.51/3.92 { circle( skol26, skol25, skol20, skol22 ) }.
% 3.51/3.92 { circle( skol26, skol25, skol27, skol28 ) }.
% 3.51/3.92 { midp( skol29, skol22, skol20 ) }.
% 3.51/3.92 { midp( skol23, skol25, skol27 ) }.
% 3.51/3.92 { midp( skol30, skol23, skol29 ) }.
% 3.51/3.92 { coll( skol26, skol30, skol24 ) }.
% 3.51/3.92 { cong( skol26, skol30, skol26, skol24 ) }.
% 3.51/3.92 { coll( skol31, skol25, skol27 ) }.
% 3.51/3.92 { coll( skol31, skol20, skol22 ) }.
% 3.51/3.92 { ! perp( skol23, skol24, skol20, skol22 ) }.
% 3.51/3.92
% 3.51/3.92 percentage equality = 0.008721, percentage horn = 0.928571
% 3.51/3.92 This is a problem with some equality
% 3.51/3.92
% 3.51/3.92
% 3.51/3.92
% 3.51/3.92 Options Used:
% 3.51/3.92
% 3.51/3.92 useres = 1
% 3.51/3.92 useparamod = 1
% 3.51/3.92 useeqrefl = 1
% 3.51/3.92 useeqfact = 1
% 3.51/3.92 usefactor = 1
% 3.51/3.92 usesimpsplitting = 0
% 3.51/3.92 usesimpdemod = 5
% 3.51/3.92 usesimpres = 3
% 3.51/3.92
% 3.51/3.92 resimpinuse = 1000
% 3.51/3.92 resimpclauses = 20000
% 3.51/3.92 substype = eqrewr
% 3.51/3.92 backwardsubs = 1
% 3.51/3.92 selectoldest = 5
% 3.51/3.92
% 3.51/3.92 litorderings [0] = split
% 3.51/3.92 litorderings [1] = extend the termordering, first sorting on arguments
% 3.51/3.92
% 3.51/3.92 termordering = kbo
% 3.51/3.92
% 3.51/3.92 litapriori = 0
% 3.51/3.92 termapriori = 1
% 3.51/3.92 litaposteriori = 0
% 3.51/3.92 termaposteriori = 0
% 3.51/3.92 demodaposteriori = 0
% 3.51/3.92 ordereqreflfact = 0
% 3.51/3.92
% 3.51/3.92 litselect = negord
% 3.51/3.92
% 3.51/3.92 maxweight = 15
% 3.51/3.92 maxdepth = 30000
% 3.51/3.92 maxlength = 115
% 3.51/3.92 maxnrvars = 195
% 3.51/3.92 excuselevel = 1
% 3.51/3.92 increasemaxweight = 1
% 3.51/3.92
% 3.51/3.92 maxselected = 10000000
% 3.51/3.92 maxnrclauses = 10000000
% 3.51/3.92
% 3.51/3.92 showgenerated = 0
% 3.51/3.92 showkept = 0
% 3.51/3.92 showselected = 0
% 3.51/3.92 showdeleted = 0
% 3.51/3.92 showresimp = 1
% 3.51/3.92 showstatus = 2000
% 3.51/3.92
% 3.51/3.92 prologoutput = 0
% 3.51/3.92 nrgoals = 5000000
% 3.51/3.92 totalproof = 1
% 3.51/3.92
% 3.51/3.92 Symbols occurring in the translation:
% 3.51/3.92
% 3.51/3.92 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.51/3.92 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 3.51/3.92 ! [4, 1] (w:0, o:39, a:1, s:1, b:0),
% 3.51/3.92 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.51/3.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.51/3.92 coll [38, 3] (w:1, o:72, a:1, s:1, b:0),
% 3.51/3.92 para [40, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.51/3.92 perp [43, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.51/3.92 midp [45, 3] (w:1, o:73, a:1, s:1, b:0),
% 3.51/3.92 cong [47, 4] (w:1, o:82, a:1, s:1, b:0),
% 3.51/3.92 circle [48, 4] (w:1, o:83, a:1, s:1, b:0),
% 3.51/3.92 cyclic [49, 4] (w:1, o:84, a:1, s:1, b:0),
% 3.51/3.92 eqangle [54, 8] (w:1, o:99, a:1, s:1, b:0),
% 3.51/3.92 eqratio [57, 8] (w:1, o:100, a:1, s:1, b:0),
% 3.51/3.92 simtri [59, 6] (w:1, o:96, a:1, s:1, b:0),
% 3.51/3.92 contri [60, 6] (w:1, o:97, a:1, s:1, b:0),
% 3.51/3.92 alpha1 [68, 3] (w:1, o:74, a:1, s:1, b:1),
% 3.51/3.92 alpha2 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.51/3.92 skol1 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.51/3.92 skol2 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.51/3.92 skol3 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 3.51/3.92 skol4 [73, 4] (w:1, o:91, a:1, s:1, b:1),
% 3.51/3.92 skol5 [74, 4] (w:1, o:92, a:1, s:1, b:1),
% 3.51/3.92 skol6 [75, 6] (w:1, o:98, a:1, s:1, b:1),
% 24.22/24.63 skol7 [76, 2] (w:1, o:68, a:1, s:1, b:1),
% 24.22/24.63 skol8 [77, 4] (w:1, o:93, a:1, s:1, b:1),
% 24.22/24.63 skol9 [78, 4] (w:1, o:94, a:1, s:1, b:1),
% 24.22/24.63 skol10 [79, 3] (w:1, o:75, a:1, s:1, b:1),
% 24.22/24.63 skol11 [80, 3] (w:1, o:76, a:1, s:1, b:1),
% 24.22/24.63 skol12 [81, 2] (w:1, o:69, a:1, s:1, b:1),
% 24.22/24.63 skol13 [82, 5] (w:1, o:95, a:1, s:1, b:1),
% 24.22/24.63 skol14 [83, 3] (w:1, o:77, a:1, s:1, b:1),
% 24.22/24.63 skol15 [84, 3] (w:1, o:78, a:1, s:1, b:1),
% 24.22/24.63 skol16 [85, 3] (w:1, o:79, a:1, s:1, b:1),
% 24.22/24.63 skol17 [86, 2] (w:1, o:70, a:1, s:1, b:1),
% 24.22/24.63 skol18 [87, 2] (w:1, o:71, a:1, s:1, b:1),
% 24.22/24.63 skol19 [88, 4] (w:1, o:87, a:1, s:1, b:1),
% 24.22/24.63 skol20 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 24.22/24.63 skol21 [90, 4] (w:1, o:89, a:1, s:1, b:1),
% 24.22/24.63 skol22 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 24.22/24.63 skol23 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 24.22/24.63 skol24 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 24.22/24.63 skol25 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 24.22/24.63 skol26 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 24.22/24.63 skol27 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 24.22/24.63 skol28 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 24.22/24.63 skol29 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 24.22/24.63 skol30 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 24.22/24.63 skol31 [100, 0] (w:1, o:38, a:1, s:1, b:1).
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Starting Search:
% 24.22/24.63
% 24.22/24.63 *** allocated 15000 integers for clauses
% 24.22/24.63 *** allocated 22500 integers for clauses
% 24.22/24.63 *** allocated 33750 integers for clauses
% 24.22/24.63 *** allocated 50625 integers for clauses
% 24.22/24.63 *** allocated 22500 integers for termspace/termends
% 24.22/24.63 *** allocated 75937 integers for clauses
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 33750 integers for termspace/termends
% 24.22/24.63 *** allocated 113905 integers for clauses
% 24.22/24.63 *** allocated 50625 integers for termspace/termends
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 9723
% 24.22/24.63 Kept: 2001
% 24.22/24.63 Inuse: 323
% 24.22/24.63 Deleted: 0
% 24.22/24.63 Deletedinuse: 0
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 170857 integers for clauses
% 24.22/24.63 *** allocated 75937 integers for termspace/termends
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 256285 integers for clauses
% 24.22/24.63 *** allocated 113905 integers for termspace/termends
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 19953
% 24.22/24.63 Kept: 4005
% 24.22/24.63 Inuse: 455
% 24.22/24.63 Deleted: 0
% 24.22/24.63 Deletedinuse: 0
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 384427 integers for clauses
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 170857 integers for termspace/termends
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 32810
% 24.22/24.63 Kept: 6043
% 24.22/24.63 Inuse: 531
% 24.22/24.63 Deleted: 0
% 24.22/24.63 Deletedinuse: 0
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 576640 integers for clauses
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 44304
% 24.22/24.63 Kept: 8069
% 24.22/24.63 Inuse: 670
% 24.22/24.63 Deleted: 1
% 24.22/24.63 Deletedinuse: 0
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 256285 integers for termspace/termends
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 60168
% 24.22/24.63 Kept: 10070
% 24.22/24.63 Inuse: 791
% 24.22/24.63 Deleted: 5
% 24.22/24.63 Deletedinuse: 3
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 864960 integers for clauses
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 70483
% 24.22/24.63 Kept: 12076
% 24.22/24.63 Inuse: 930
% 24.22/24.63 Deleted: 349
% 24.22/24.63 Deletedinuse: 234
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 80454
% 24.22/24.63 Kept: 14081
% 24.22/24.63 Inuse: 1069
% 24.22/24.63 Deleted: 667
% 24.22/24.63 Deletedinuse: 518
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 384427 integers for termspace/termends
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 90605
% 24.22/24.63 Kept: 16090
% 24.22/24.63 Inuse: 1236
% 24.22/24.63 Deleted: 797
% 24.22/24.63 Deletedinuse: 518
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 1297440 integers for clauses
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 101110
% 24.22/24.63 Kept: 18092
% 24.22/24.63 Inuse: 1351
% 24.22/24.63 Deleted: 1138
% 24.22/24.63 Deletedinuse: 518
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying clauses:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 111109
% 24.22/24.63 Kept: 20132
% 24.22/24.63 Inuse: 1465
% 24.22/24.63 Deleted: 9023
% 24.22/24.63 Deletedinuse: 518
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 120685
% 24.22/24.63 Kept: 22133
% 24.22/24.63 Inuse: 1687
% 24.22/24.63 Deleted: 9046
% 24.22/24.63 Deletedinuse: 541
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 158544
% 24.22/24.63 Kept: 24137
% 24.22/24.63 Inuse: 2024
% 24.22/24.63 Deleted: 9058
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 *** allocated 576640 integers for termspace/termends
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 1946160 integers for clauses
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 165815
% 24.22/24.63 Kept: 26495
% 24.22/24.63 Inuse: 2081
% 24.22/24.63 Deleted: 9058
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 173244
% 24.22/24.63 Kept: 28495
% 24.22/24.63 Inuse: 2165
% 24.22/24.63 Deleted: 9063
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 184443
% 24.22/24.63 Kept: 30505
% 24.22/24.63 Inuse: 2279
% 24.22/24.63 Deleted: 9063
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 192825
% 24.22/24.63 Kept: 32520
% 24.22/24.63 Inuse: 2351
% 24.22/24.63 Deleted: 9064
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 206300
% 24.22/24.63 Kept: 34521
% 24.22/24.63 Inuse: 2468
% 24.22/24.63 Deleted: 9068
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 218395
% 24.22/24.63 Kept: 36668
% 24.22/24.63 Inuse: 2536
% 24.22/24.63 Deleted: 9068
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 864960 integers for termspace/termends
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 241186
% 24.22/24.63 Kept: 38699
% 24.22/24.63 Inuse: 2664
% 24.22/24.63 Deleted: 9070
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 *** allocated 2919240 integers for clauses
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying clauses:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 254055
% 24.22/24.63 Kept: 40783
% 24.22/24.63 Inuse: 2729
% 24.22/24.63 Deleted: 10265
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 272724
% 24.22/24.63 Kept: 42799
% 24.22/24.63 Inuse: 2831
% 24.22/24.63 Deleted: 10265
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 283798
% 24.22/24.63 Kept: 44836
% 24.22/24.63 Inuse: 2884
% 24.22/24.63 Deleted: 10265
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 305646
% 24.22/24.63 Kept: 46836
% 24.22/24.63 Inuse: 2984
% 24.22/24.63 Deleted: 10265
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 331954
% 24.22/24.63 Kept: 48856
% 24.22/24.63 Inuse: 3115
% 24.22/24.63 Deleted: 10265
% 24.22/24.63 Deletedinuse: 548
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 358757
% 24.22/24.63 Kept: 50863
% 24.22/24.63 Inuse: 3340
% 24.22/24.63 Deleted: 10266
% 24.22/24.63 Deletedinuse: 549
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 370490
% 24.22/24.63 Kept: 52913
% 24.22/24.63 Inuse: 3409
% 24.22/24.63 Deleted: 10266
% 24.22/24.63 Deletedinuse: 549
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 376963
% 24.22/24.63 Kept: 55072
% 24.22/24.63 Inuse: 3439
% 24.22/24.63 Deleted: 10266
% 24.22/24.63 Deletedinuse: 549
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 383443
% 24.22/24.63 Kept: 57072
% 24.22/24.63 Inuse: 3480
% 24.22/24.63 Deleted: 10266
% 24.22/24.63 Deletedinuse: 549
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 *** allocated 4378860 integers for clauses
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 401038
% 24.22/24.63 Kept: 59105
% 24.22/24.63 Inuse: 3539
% 24.22/24.63 Deleted: 10888
% 24.22/24.63 Deletedinuse: 1160
% 24.22/24.63
% 24.22/24.63 *** allocated 1297440 integers for termspace/termends
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying clauses:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Bliksems!, er is een bewijs:
% 24.22/24.63 % SZS status Theorem
% 24.22/24.63 % SZS output start Refutation
% 24.22/24.63
% 24.22/24.63 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 24.22/24.63 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 24.22/24.63 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 24.22/24.63 , Z, X ) }.
% 24.22/24.63 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 24.22/24.63 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 24.22/24.63 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 24.22/24.63 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 24.22/24.63 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 24.22/24.63 para( X, Y, Z, T ) }.
% 24.22/24.63 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 24.22/24.63 perp( X, Y, Z, T ) }.
% 24.22/24.63 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 24.22/24.63 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 24.22/24.63 }.
% 24.22/24.63 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 24.22/24.63 }.
% 24.22/24.63 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 24.22/24.63 , T, U, W ) }.
% 24.22/24.63 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 24.22/24.63 T, X, T, Y ) }.
% 24.22/24.63 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 24.22/24.63 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 24.22/24.63 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 24.22/24.63 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 24.22/24.63 , Y, Z, T ) }.
% 24.22/24.63 (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z
% 24.22/24.63 , T, X, Y ) }.
% 24.22/24.63 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 24.22/24.63 perp( X, Y, Z, T ) }.
% 24.22/24.63 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 24.22/24.63 , Z, Y, T ) }.
% 24.22/24.63 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 24.22/24.63 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 24.22/24.63 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 24.22/24.63 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 24.22/24.63 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 24.22/24.63 (118) {G0,W4,D2,L1,V0,M1} I { midp( skol29, skol22, skol20 ) }.
% 24.22/24.63 (120) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol23, skol29 ) }.
% 24.22/24.63 (124) {G0,W4,D2,L1,V0,M1} I { coll( skol31, skol20, skol22 ) }.
% 24.22/24.63 (125) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20, skol22 ) }.
% 24.22/24.63 (142) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 24.22/24.63 , midp( X, T, T ) }.
% 24.22/24.63 (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 24.22/24.63 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 24.22/24.63 (165) {G1,W4,D2,L1,V0,M1} R(0,124) { coll( skol31, skol22, skol20 ) }.
% 24.22/24.63 (166) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol22, skol31, skol20 ) }.
% 24.22/24.63 (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 24.22/24.63 (174) {G3,W4,D2,L1,V0,M1} R(166,0) { coll( skol22, skol20, skol31 ) }.
% 24.22/24.63 (175) {G4,W4,D2,L1,V0,M1} R(174,1) { coll( skol20, skol22, skol31 ) }.
% 24.22/24.63 (181) {G5,W8,D2,L2,V1,M2} R(2,175) { ! coll( skol20, skol22, X ), coll(
% 24.22/24.63 skol31, X, skol20 ) }.
% 24.22/24.63 (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T, Z, X ), !
% 24.22/24.63 coll( X, T, Y ) }.
% 24.22/24.63 (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 24.22/24.63 coll( Z, X, T ) }.
% 24.22/24.63 (204) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 24.22/24.63 (227) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 24.22/24.63 ) }.
% 24.22/24.63 (245) {G3,W12,D2,L3,V4,M3} R(204,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 24.22/24.63 coll( X, Z, T ) }.
% 24.22/24.63 (251) {G3,W8,D2,L2,V3,M2} R(204,1) { coll( X, Y, X ), ! coll( Z, Y, X ) }.
% 24.22/24.63 (256) {G3,W8,D2,L2,V3,M2} R(204,0) { coll( X, Y, X ), ! coll( Y, X, Z ) }.
% 24.22/24.63 (260) {G4,W8,D2,L2,V3,M2} F(245) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 24.22/24.63 (276) {G1,W5,D2,L1,V0,M1} R(7,125) { ! perp( skol20, skol22, skol23, skol24
% 24.22/24.63 ) }.
% 24.22/24.63 (305) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp( X, Y, U, W
% 24.22/24.63 ), ! perp( U, W, Z, T ) }.
% 24.22/24.63 (319) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol29, skol20, skol22 ) }.
% 24.22/24.63 (321) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol30, skol29, skol23 ) }.
% 24.22/24.63 (363) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 24.22/24.63 , X, T ) }.
% 24.22/24.63 (364) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 24.22/24.63 , X, T ) }.
% 24.22/24.63 (459) {G2,W5,D2,L1,V0,M1} R(276,6) { ! perp( skol20, skol22, skol24, skol23
% 24.22/24.63 ) }.
% 24.22/24.63 (461) {G3,W5,D2,L1,V0,M1} R(459,7) { ! perp( skol24, skol23, skol20, skol22
% 24.22/24.63 ) }.
% 24.22/24.63 (472) {G4,W5,D2,L1,V0,M1} R(461,6) { ! perp( skol24, skol23, skol22, skol20
% 24.22/24.63 ) }.
% 24.22/24.63 (474) {G5,W5,D2,L1,V0,M1} R(472,7) { ! perp( skol22, skol20, skol24, skol23
% 24.22/24.63 ) }.
% 24.22/24.63 (475) {G6,W10,D2,L2,V2,M2} R(474,9) { ! para( skol22, skol20, X, Y ), !
% 24.22/24.63 perp( X, Y, skol24, skol23 ) }.
% 24.22/24.63 (538) {G5,W8,D2,L2,V3,M2} R(260,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 24.22/24.63 (539) {G5,W8,D2,L2,V3,M2} R(260,1) { coll( X, Y, X ), ! coll( Z, X, Y ) }.
% 24.22/24.63 (545) {G6,W8,D2,L2,V3,M2} R(538,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 24.22/24.63 (546) {G6,W8,D2,L2,V3,M2} R(538,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 24.22/24.63 (547) {G7,W8,D2,L2,V3,M2} R(545,538) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 24.22/24.63 }.
% 24.22/24.63 (550) {G7,W8,D2,L2,V3,M2} R(546,546) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 24.22/24.63 }.
% 24.22/24.63 (556) {G8,W12,D2,L3,V4,M3} R(550,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 24.22/24.63 , coll( T, Y, X ) }.
% 24.22/24.63 (557) {G9,W8,D2,L2,V3,M2} F(556) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 24.22/24.63 (558) {G10,W8,D2,L2,V3,M2} R(557,550) { coll( X, X, Y ), ! coll( Y, X, Z )
% 24.22/24.63 }.
% 24.22/24.63 (560) {G10,W8,D2,L2,V3,M2} R(557,547) { coll( X, X, Y ), ! coll( Z, Y, X )
% 24.22/24.63 }.
% 24.22/24.63 (561) {G10,W8,D2,L2,V3,M2} R(557,545) { coll( X, X, Y ), ! coll( Z, X, Y )
% 24.22/24.63 }.
% 24.22/24.63 (603) {G6,W8,D2,L2,V3,M2} R(69,539) { ! midp( X, Y, Z ), coll( Y, Z, Y )
% 24.22/24.63 }.
% 24.22/24.63 (604) {G11,W8,D2,L2,V3,M2} R(69,561) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 24.22/24.63 }.
% 24.22/24.63 (618) {G2,W4,D2,L1,V0,M1} R(69,321) { coll( skol30, skol29, skol23 ) }.
% 24.22/24.63 (620) {G2,W4,D2,L1,V0,M1} R(69,319) { coll( skol29, skol20, skol22 ) }.
% 24.22/24.63 (625) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 24.22/24.63 (628) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol30, skol23, skol29 ) }.
% 24.22/24.63 (633) {G4,W4,D2,L1,V0,M1} R(618,251) { coll( skol23, skol29, skol23 ) }.
% 24.22/24.63 (638) {G11,W4,D2,L1,V0,M1} R(618,560) { coll( skol23, skol23, skol29 ) }.
% 24.22/24.63 (795) {G3,W4,D2,L1,V0,M1} R(620,170) { coll( skol20, skol22, skol29 ) }.
% 24.22/24.63 (830) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 24.22/24.63 ), ! para( X, Z, X, Z ) }.
% 24.22/24.63 (971) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 24.22/24.63 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 24.22/24.63 (1003) {G2,W15,D2,L3,V3,M3} F(971) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 24.22/24.63 , Z, Y ), cong( X, Y, X, Y ) }.
% 24.22/24.63 (1032) {G1,W9,D2,L2,V2,M2} R(44,118) { ! midp( X, skol22, Y ), para( X,
% 24.22/24.63 skol29, Y, skol20 ) }.
% 24.22/24.63 (1227) {G2,W8,D2,L2,V1,M2} R(628,2) { ! coll( skol30, skol23, X ), coll(
% 24.22/24.63 skol29, X, skol30 ) }.
% 24.22/24.63 (1592) {G3,W8,D2,L2,V1,M2} R(1227,170) { coll( skol29, X, skol30 ), ! coll
% 24.22/24.63 ( X, skol30, skol23 ) }.
% 24.22/24.63 (1728) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 24.22/24.63 , T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 24.22/24.63 (1729) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 24.22/24.63 , T ), perp( Y, T, X, Z ) }.
% 24.22/24.63 (1731) {G2,W15,D2,L3,V5,M3} F(1728) { ! cong( X, Y, Z, Y ), ! perp( T, U, X
% 24.22/24.63 , Z ), para( T, U, Y, Y ) }.
% 24.22/24.63 (1975) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 24.22/24.63 ), ! midp( X, U, T ) }.
% 24.22/24.63 (1991) {G2,W9,D2,L2,V3,M2} F(1975) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 24.22/24.63 }.
% 24.22/24.63 (3106) {G4,W8,D2,L2,V1,M2} R(1592,170) { ! coll( X, skol30, skol23 ), coll
% 24.22/24.63 ( X, skol30, skol29 ) }.
% 24.22/24.63 (3158) {G5,W12,D2,L3,V2,M3} R(3106,2) { ! coll( X, skol30, skol23 ), ! coll
% 24.22/24.63 ( X, skol30, Y ), coll( skol29, Y, X ) }.
% 24.22/24.63 (3163) {G6,W8,D2,L2,V1,M2} F(3158) { ! coll( X, skol30, skol23 ), coll(
% 24.22/24.63 skol29, skol23, X ) }.
% 24.22/24.63 (3889) {G7,W8,D2,L2,V1,M2} R(3163,625) { coll( skol29, skol23, X ), ! midp
% 24.22/24.63 ( skol30, X, skol23 ) }.
% 24.22/24.63 (3978) {G8,W8,D2,L2,V1,M2} R(3889,170) { ! midp( skol30, X, skol23 ), coll
% 24.22/24.63 ( skol23, X, skol29 ) }.
% 24.22/24.63 (3984) {G8,W8,D2,L2,V1,M2} R(3889,0) { ! midp( skol30, X, skol23 ), coll(
% 24.22/24.63 skol29, X, skol23 ) }.
% 24.22/24.63 (3988) {G9,W8,D2,L2,V1,M2} R(3978,10) { coll( skol23, X, skol29 ), ! midp(
% 24.22/24.63 skol30, skol23, X ) }.
% 24.22/24.63 (3998) {G10,W8,D2,L2,V1,M2} R(3988,1) { ! midp( skol30, skol23, X ), coll(
% 24.22/24.63 X, skol23, skol29 ) }.
% 24.22/24.63 (8194) {G9,W14,D3,L3,V2,M3} R(148,3984);r(633) { ! midp( X, skol29, skol23
% 24.22/24.63 ), midp( skol7( skol29, Y ), skol29, Y ), ! midp( skol30, skol29, skol23
% 24.22/24.63 ) }.
% 24.22/24.63 (8198) {G12,W14,D3,L3,V2,M3} R(148,3998);r(638) { ! midp( X, skol23, skol29
% 24.22/24.63 ), midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol30, skol23, skol29
% 24.22/24.63 ) }.
% 24.22/24.63 (8311) {G13,W6,D3,L1,V1,M1} F(8198);r(120) { midp( skol7( skol23, X ),
% 24.22/24.63 skol23, X ) }.
% 24.22/24.63 (8312) {G10,W6,D3,L1,V1,M1} F(8194);r(321) { midp( skol7( skol29, X ),
% 24.22/24.63 skol29, X ) }.
% 24.22/24.63 (9858) {G6,W4,D2,L1,V0,M1} R(181,795) { coll( skol31, skol29, skol20 ) }.
% 24.22/24.63 (9888) {G7,W4,D2,L1,V0,M1} R(9858,256) { coll( skol29, skol31, skol29 ) }.
% 24.22/24.63 (9891) {G11,W4,D2,L1,V0,M1} R(9858,558) { coll( skol29, skol29, skol31 )
% 24.22/24.63 }.
% 24.22/24.63 (11128) {G12,W4,D2,L1,V1,M1} R(8312,604) { coll( skol29, skol29, X ) }.
% 24.22/24.63 (11129) {G11,W4,D2,L1,V1,M1} R(8312,603) { coll( skol29, X, skol29 ) }.
% 24.22/24.63 (11190) {G12,W4,D2,L1,V1,M1} R(195,9891);r(11129) { coll( X, skol31, skol29
% 24.22/24.63 ) }.
% 24.22/24.63 (11194) {G13,W4,D2,L1,V1,M1} R(195,9888);r(11128) { coll( skol31, X, skol29
% 24.22/24.63 ) }.
% 24.22/24.63 (11502) {G13,W4,D2,L1,V1,M1} R(11190,170) { coll( skol31, skol29, X ) }.
% 24.22/24.63 (11514) {G14,W4,D2,L1,V2,M1} R(11502,195);r(11194) { coll( X, Y, skol31 )
% 24.22/24.63 }.
% 24.22/24.63 (11549) {G15,W4,D2,L1,V2,M1} R(11514,170) { coll( X, skol31, Y ) }.
% 24.22/24.63 (11554) {G16,W4,D2,L1,V3,M1} R(11549,195);r(11514) { coll( X, Y, Z ) }.
% 24.22/24.63 (11624) {G14,W6,D3,L1,V1,M1} R(8311,10) { midp( skol7( skol23, X ), X,
% 24.22/24.63 skol23 ) }.
% 24.22/24.63 (11640) {G17,W10,D3,L2,V2,M2} R(11624,148);r(11554) { ! coll( skol23, X,
% 24.22/24.63 skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 24.22/24.63 (20003) {G18,W6,D3,L1,V2,M1} S(11640);r(11554) { midp( skol7( X, Y ), X, Y
% 24.22/24.63 ) }.
% 24.22/24.63 (20125) {G17,W10,D2,L2,V3,M2} S(830);r(11554) { cyclic( Z, Y, X, X ), !
% 24.22/24.64 para( X, Z, X, Z ) }.
% 24.22/24.64 (20769) {G19,W6,D3,L1,V2,M1} R(20003,10) { midp( skol7( X, Y ), Y, X ) }.
% 24.22/24.64 (57287) {G20,W5,D2,L1,V2,M1} R(1991,20769) { para( X, Y, Y, X ) }.
% 24.22/24.64 (57295) {G21,W5,D2,L1,V2,M1} R(57287,227) { para( X, Y, X, Y ) }.
% 24.22/24.64 (57298) {G22,W8,D2,L2,V3,M2} R(57295,142) { ! midp( X, Y, Y ), midp( X, Z,
% 24.22/24.64 Z ) }.
% 24.22/24.64 (57395) {G23,W6,D3,L1,V2,M1} R(57298,20769) { midp( skol7( X, X ), Y, Y )
% 24.22/24.64 }.
% 24.22/24.64 (57420) {G24,W7,D3,L1,V1,M1} R(57395,1032) { para( skol7( X, X ), skol29,
% 24.22/24.64 skol22, skol20 ) }.
% 24.22/24.64 (58554) {G25,W7,D3,L1,V1,M1} R(57420,227) { para( skol22, skol20, skol29,
% 24.22/24.64 skol7( X, X ) ) }.
% 24.22/24.64 (58570) {G26,W7,D3,L1,V1,M1} R(58554,475) { ! perp( skol29, skol7( X, X ),
% 24.22/24.64 skol24, skol23 ) }.
% 24.22/24.64 (60214) {G22,W5,D2,L1,V3,M1} S(20125);r(57295) { cyclic( Z, Y, X, X ) }.
% 24.22/24.64 (60354) {G23,W5,D2,L1,V3,M1} R(60214,364) { cyclic( X, Y, Z, Y ) }.
% 24.22/24.64 (60355) {G23,W5,D2,L1,V3,M1} R(60214,363) { cyclic( X, Y, Z, X ) }.
% 24.22/24.64 (60371) {G24,W5,D2,L1,V2,M1} R(60354,1003);r(60355) { cong( X, Y, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 (60695) {G25,W5,D2,L1,V3,M1} R(60371,1729);r(60371) { perp( Z, Y, X, X )
% 24.22/24.64 }.
% 24.22/24.64 (60721) {G26,W5,D2,L1,V3,M1} R(60695,1731);r(60371) { para( Z, T, Y, Y )
% 24.22/24.64 }.
% 24.22/24.64 (60726) {G27,W5,D2,L1,V4,M1} R(60695,305);r(60721) { perp( X, Y, T, U ) }.
% 24.22/24.64 (60734) {G28,W0,D0,L0,V0,M0} R(60726,58570) { }.
% 24.22/24.64
% 24.22/24.64
% 24.22/24.64 % SZS output end Refutation
% 24.22/24.64 found a proof!
% 24.22/24.64
% 24.22/24.64
% 24.22/24.64 Unprocessed initial clauses:
% 24.22/24.64
% 24.22/24.64 (60736) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 24.22/24.64 (60737) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 24.22/24.64 (60738) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 24.22/24.64 ( Y, Z, X ) }.
% 24.22/24.64 (60739) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 24.22/24.64 }.
% 24.22/24.64 (60740) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 (60741) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 24.22/24.64 , para( X, Y, Z, T ) }.
% 24.22/24.64 (60742) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 24.22/24.64 }.
% 24.22/24.64 (60743) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 (60744) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 24.22/24.64 , para( X, Y, Z, T ) }.
% 24.22/24.64 (60745) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 24.22/24.64 , perp( X, Y, Z, T ) }.
% 24.22/24.64 (60746) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 24.22/24.64 (60747) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 24.22/24.64 , circle( T, X, Y, Z ) }.
% 24.22/24.64 (60748) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 24.22/24.64 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 24.22/24.64 (60749) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 24.22/24.64 ) }.
% 24.22/24.64 (60750) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 24.22/24.64 ) }.
% 24.22/24.64 (60751) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 24.22/24.64 ) }.
% 24.22/24.64 (60752) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 24.22/24.64 T ), cyclic( X, Y, Z, T ) }.
% 24.22/24.64 (60753) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 24.22/24.64 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 24.22/24.64 (60754) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 24.22/24.64 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 24.22/24.64 (60755) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 24.22/24.64 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 24.22/24.64 (60756) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 24.22/24.64 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 24.22/24.64 (60757) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 24.22/24.64 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 24.22/24.64 V1 ) }.
% 24.22/24.64 (60758) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 24.22/24.64 }.
% 24.22/24.64 (60759) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 (60760) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 24.22/24.64 , cong( X, Y, Z, T ) }.
% 24.22/24.64 (60761) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 24.22/24.64 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 24.22/24.64 (60762) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 24.22/24.64 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 24.22/24.64 (60763) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 24.22/24.64 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 24.22/24.64 (60764) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 24.22/24.64 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 24.22/24.64 (60765) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 24.22/24.64 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 24.22/24.64 V1 ) }.
% 24.22/24.64 (60766) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 24.22/24.64 , Z, T, U, W ) }.
% 24.22/24.64 (60767) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 24.22/24.64 , Z, T, U, W ) }.
% 24.22/24.64 (60768) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 24.22/24.64 , Z, T, U, W ) }.
% 24.22/24.64 (60769) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 24.22/24.64 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 24.22/24.64 (60770) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 24.22/24.64 , Z, T, U, W ) }.
% 24.22/24.64 (60771) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 24.22/24.64 , Z, T, U, W ) }.
% 24.22/24.64 (60772) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 24.22/24.64 , Z, T, U, W ) }.
% 24.22/24.64 (60773) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 24.22/24.64 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 24.22/24.64 (60774) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 24.22/24.64 X, Y, Z, T ) }.
% 24.22/24.64 (60775) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 24.22/24.64 Z, T, U, W ) }.
% 24.22/24.64 (60776) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 24.22/24.64 , T, X, T, Y ) }.
% 24.22/24.64 (60777) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 24.22/24.64 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 24.22/24.64 (60778) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 24.22/24.64 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 24.22/24.64 (60779) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 24.22/24.64 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 24.22/24.64 , Y, Z, T ) }.
% 24.22/24.64 (60780) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 24.22/24.64 ( Z, T, X, Y ) }.
% 24.22/24.64 (60781) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 24.22/24.64 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 24.22/24.64 (60782) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 24.22/24.64 X, Y, Z, Y ) }.
% 24.22/24.64 (60783) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 24.22/24.64 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 24.22/24.64 (60784) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 24.22/24.64 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 24.22/24.64 (60785) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 24.22/24.64 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 24.22/24.64 (60786) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 24.22/24.64 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 24.22/24.64 (60787) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 24.22/24.64 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 24.22/24.64 (60788) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 24.22/24.64 cong( X, Z, Y, Z ) }.
% 24.22/24.64 (60789) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 24.22/24.64 perp( X, Y, Y, Z ) }.
% 24.22/24.64 (60790) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 24.22/24.64 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 24.22/24.64 (60791) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 24.22/24.64 cong( Z, X, Z, Y ) }.
% 24.22/24.64 (60792) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 24.22/24.64 , perp( X, Y, Z, T ) }.
% 24.22/24.64 (60793) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 24.22/24.64 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 24.22/24.64 (60794) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 24.22/24.64 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 24.22/24.64 , W ) }.
% 24.22/24.64 (60795) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 24.22/24.64 , X, Z, T, U, T, W ) }.
% 24.22/24.64 (60796) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 24.22/24.64 , Y, Z, T, U, U, W ) }.
% 24.22/24.64 (60797) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 24.22/24.64 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 24.22/24.64 (60798) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 24.22/24.64 , T ) }.
% 24.22/24.64 (60799) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 24.22/24.64 ( X, Z, Y, T ) }.
% 24.22/24.64 (60800) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 24.22/24.64 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 24.22/24.64 (60801) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 24.22/24.64 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 24.22/24.64 (60802) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 24.22/24.64 (60803) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 24.22/24.64 midp( X, Y, Z ) }.
% 24.22/24.64 (60804) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 24.22/24.64 (60805) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 24.22/24.64 (60806) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 24.22/24.64 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 24.22/24.64 (60807) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 24.22/24.64 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 24.22/24.64 (60808) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 24.22/24.64 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 24.22/24.64 (60809) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 24.22/24.64 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 24.22/24.64 (60810) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 24.22/24.64 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 24.22/24.64 (60811) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 24.22/24.64 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 24.22/24.64 (60812) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 24.22/24.64 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 24.22/24.64 (60813) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 24.22/24.64 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 24.22/24.64 (60814) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 24.22/24.64 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 24.22/24.64 (60815) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 24.22/24.64 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 24.22/24.64 (60816) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 24.22/24.64 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 24.22/24.64 (60817) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 24.22/24.64 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 24.22/24.64 (60818) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 24.22/24.64 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 24.22/24.64 (60819) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 24.22/24.64 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 24.22/24.64 (60820) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 24.22/24.64 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 24.22/24.64 (60821) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 24.22/24.64 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 24.22/24.64 , T ) ) }.
% 24.22/24.64 (60822) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 24.22/24.64 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 24.22/24.64 (60823) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 24.22/24.64 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 24.22/24.64 (60824) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 24.22/24.64 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 24.22/24.64 (60825) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 24.22/24.64 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 24.22/24.64 (60826) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 24.22/24.64 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 24.22/24.64 ) }.
% 24.22/24.64 (60827) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 24.22/24.64 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 24.22/24.64 }.
% 24.22/24.64 (60828) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 24.22/24.64 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 24.22/24.64 (60829) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 24.22/24.64 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 24.22/24.64 (60830) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 24.22/24.64 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 24.22/24.64 (60831) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 24.22/24.64 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 24.22/24.64 (60832) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 24.22/24.64 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 24.22/24.64 (60833) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 24.22/24.64 , alpha1( X, Y, Z ) }.
% 24.22/24.64 (60834) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 24.22/24.64 ), Z, X ) }.
% 24.22/24.64 (60835) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 24.22/24.64 , Z ), Z, X ) }.
% 24.22/24.64 (60836) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 24.22/24.64 alpha1( X, Y, Z ) }.
% 24.22/24.64 (60837) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 24.22/24.64 ), X, X, Y ) }.
% 24.22/24.64 (60838) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 24.22/24.64 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 24.22/24.64 ) ) }.
% 24.22/24.64 (60839) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 24.22/24.64 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 24.22/24.64 (60840) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 24.22/24.64 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 24.22/24.64 }.
% 24.22/24.64 (60841) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 24.22/24.64 (60842) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 24.22/24.64 }.
% 24.22/24.64 (60843) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 24.22/24.64 alpha2( X, Y, Z, T ) }.
% 24.22/24.64 (60844) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 24.22/24.64 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 24.22/24.64 (60845) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 24.22/24.64 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 24.22/24.64 (60846) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 24.22/24.64 coll( skol16( W, Y, Z ), Y, Z ) }.
% 24.22/24.64 (60847) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 24.22/24.64 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 24.22/24.64 (60848) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 24.22/24.64 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 24.22/24.64 (60849) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 24.22/24.64 , coll( X, Y, skol18( X, Y ) ) }.
% 24.22/24.64 (60850) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 24.22/24.64 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 24.22/24.64 (60851) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 24.22/24.64 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 24.22/24.64 }.
% 24.22/24.64 (60852) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 24.22/24.64 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 24.22/24.64 }.
% 24.22/24.64 (60853) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol20, skol22 ) }.
% 24.22/24.64 (60854) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol27, skol28 ) }.
% 24.22/24.64 (60855) {G0,W4,D2,L1,V0,M1} { midp( skol29, skol22, skol20 ) }.
% 24.22/24.64 (60856) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol27 ) }.
% 24.22/24.64 (60857) {G0,W4,D2,L1,V0,M1} { midp( skol30, skol23, skol29 ) }.
% 24.22/24.64 (60858) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol30, skol24 ) }.
% 24.22/24.64 (60859) {G0,W5,D2,L1,V0,M1} { cong( skol26, skol30, skol26, skol24 ) }.
% 24.22/24.64 (60860) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol25, skol27 ) }.
% 24.22/24.64 (60861) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol20, skol22 ) }.
% 24.22/24.64 (60862) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20, skol22 ) }.
% 24.22/24.64
% 24.22/24.64
% 24.22/24.64 Total Proof:
% 24.22/24.64
% 24.22/24.64 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent0: (60736) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent0: (60737) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 24.22/24.64 Z ), coll( Y, Z, X ) }.
% 24.22/24.64 parent0: (60738) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 24.22/24.64 ), coll( Y, Z, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 24.22/24.64 , T, Z ) }.
% 24.22/24.64 parent0: (60739) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 24.22/24.64 T, Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 24.22/24.64 , X, Y ) }.
% 24.22/24.64 parent0: (60740) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 24.22/24.64 X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 24.22/24.64 , T, Z ) }.
% 24.22/24.64 parent0: (60742) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 24.22/24.64 T, Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 24.22/24.64 , X, Y ) }.
% 24.22/24.64 parent0: (60743) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 24.22/24.64 X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 24.22/24.64 W, Z, T ), para( X, Y, Z, T ) }.
% 24.22/24.64 parent0: (60744) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 24.22/24.64 , Z, T ), para( X, Y, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 W := W
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 24.22/24.64 W, Z, T ), perp( X, Y, Z, T ) }.
% 24.22/24.64 parent0: (60745) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 24.22/24.64 , Z, T ), perp( X, Y, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 W := W
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0: (60746) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 24.22/24.64 X, Z, Y, T ) }.
% 24.22/24.64 parent0: (60750) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 24.22/24.64 , Z, Y, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 24.22/24.64 Y, X, Z, T ) }.
% 24.22/24.64 parent0: (60751) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 24.22/24.64 , X, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 24.22/24.64 , Y, U, W, Z, T, U, W ) }.
% 24.22/24.64 parent0: (60775) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 24.22/24.64 Y, U, W, Z, T, U, W ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 W := W
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 24.22/24.64 ( Z, X, Z, Y, T, X, T, Y ) }.
% 24.22/24.64 parent0: (60776) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 24.22/24.64 , X, Z, Y, T, X, T, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 24.22/24.64 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 24.22/24.64 parent0: (60778) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 24.22/24.64 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 24.22/24.64 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 24.22/24.64 ), cong( X, Y, Z, T ) }.
% 24.22/24.64 parent0: (60779) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 24.22/24.64 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 24.22/24.64 , cong( X, Y, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 W := W
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 3 ==> 3
% 24.22/24.64 4 ==> 4
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U
% 24.22/24.64 , Y ), para( Z, T, X, Y ) }.
% 24.22/24.64 parent0: (60780) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y
% 24.22/24.64 ), para( Z, T, X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 24.22/24.64 , T, Y, T ), perp( X, Y, Z, T ) }.
% 24.22/24.64 parent0: (60792) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 24.22/24.64 , Y, T ), perp( X, Y, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 24.22/24.64 , T ), para( X, Z, Y, T ) }.
% 24.22/24.64 parent0: (60799) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 24.22/24.64 ), para( X, Z, Y, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 24.22/24.64 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 24.22/24.64 parent0: (60800) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 24.22/24.64 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 3 ==> 3
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 24.22/24.64 ) }.
% 24.22/24.64 parent0: (60805) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 24.22/24.64 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 24.22/24.64 ) }.
% 24.22/24.64 parent0: (60825) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 24.22/24.64 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 W := W
% 24.22/24.64 V0 := V0
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 3 ==> 3
% 24.22/24.64 4 ==> 4
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol29, skol22, skol20 )
% 24.22/24.64 }.
% 24.22/24.64 parent0: (60855) {G0,W4,D2,L1,V0,M1} { midp( skol29, skol22, skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol23, skol29 )
% 24.22/24.64 }.
% 24.22/24.64 parent0: (60857) {G0,W4,D2,L1,V0,M1} { midp( skol30, skol23, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (124) {G0,W4,D2,L1,V0,M1} I { coll( skol31, skol20, skol22 )
% 24.22/24.64 }.
% 24.22/24.64 parent0: (60861) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol20, skol22 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (125) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20,
% 24.22/24.64 skol22 ) }.
% 24.22/24.64 parent0: (60862) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20,
% 24.22/24.64 skol22 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61306) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 24.22/24.64 , T ), midp( X, T, T ) }.
% 24.22/24.64 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 24.22/24.64 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := T
% 24.22/24.64 Y := T
% 24.22/24.64 Z := X
% 24.22/24.64 T := Y
% 24.22/24.64 U := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (142) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 24.22/24.64 Y, T, Z, T ), midp( X, T, T ) }.
% 24.22/24.64 parent0: (61306) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 24.22/24.64 , T ), midp( X, T, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61307) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 24.22/24.64 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 24.22/24.64 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 24.22/24.64 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 24.22/24.64 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := X
% 24.22/24.64 T := Y
% 24.22/24.64 U := Z
% 24.22/24.64 W := X
% 24.22/24.64 V0 := T
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 24.22/24.64 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 24.22/24.64 parent0: (61307) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 24.22/24.64 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 3 ==> 3
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61310) {G1,W4,D2,L1,V0,M1} { coll( skol31, skol22, skol20 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (124) {G0,W4,D2,L1,V0,M1} I { coll( skol31, skol20, skol22 )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol31
% 24.22/24.64 Y := skol20
% 24.22/24.64 Z := skol22
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (165) {G1,W4,D2,L1,V0,M1} R(0,124) { coll( skol31, skol22,
% 24.22/24.64 skol20 ) }.
% 24.22/24.64 parent0: (61310) {G1,W4,D2,L1,V0,M1} { coll( skol31, skol22, skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61311) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol31, skol20 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (165) {G1,W4,D2,L1,V0,M1} R(0,124) { coll( skol31, skol22,
% 24.22/24.64 skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol31
% 24.22/24.64 Y := skol22
% 24.22/24.64 Z := skol20
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (166) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol22, skol31,
% 24.22/24.64 skol20 ) }.
% 24.22/24.64 parent0: (61311) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol31, skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61313) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 24.22/24.64 , Z, X ) }.
% 24.22/24.64 parent0: (61313) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61314) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol31 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (166) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol22, skol31,
% 24.22/24.64 skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol22
% 24.22/24.64 Y := skol31
% 24.22/24.64 Z := skol20
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (174) {G3,W4,D2,L1,V0,M1} R(166,0) { coll( skol22, skol20,
% 24.22/24.64 skol31 ) }.
% 24.22/24.64 parent0: (61314) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol31 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61315) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol31 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (174) {G3,W4,D2,L1,V0,M1} R(166,0) { coll( skol22, skol20,
% 24.22/24.64 skol31 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol22
% 24.22/24.64 Y := skol20
% 24.22/24.64 Z := skol31
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (175) {G4,W4,D2,L1,V0,M1} R(174,1) { coll( skol20, skol22,
% 24.22/24.64 skol31 ) }.
% 24.22/24.64 parent0: (61315) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol31 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61316) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol22, X ),
% 24.22/24.64 coll( skol31, X, skol20 ) }.
% 24.22/24.64 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 24.22/24.64 ), coll( Y, Z, X ) }.
% 24.22/24.64 parent1[0]: (175) {G4,W4,D2,L1,V0,M1} R(174,1) { coll( skol20, skol22,
% 24.22/24.64 skol31 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol20
% 24.22/24.64 Y := skol31
% 24.22/24.64 Z := X
% 24.22/24.64 T := skol22
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (181) {G5,W8,D2,L2,V1,M2} R(2,175) { ! coll( skol20, skol22, X
% 24.22/24.64 ), coll( skol31, X, skol20 ) }.
% 24.22/24.64 parent0: (61316) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol22, X ), coll(
% 24.22/24.64 skol31, X, skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61318) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, T ), coll( Z, T,
% 24.22/24.64 X ), ! coll( X, Z, Y ) }.
% 24.22/24.64 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 24.22/24.64 ), coll( Y, Z, X ) }.
% 24.22/24.64 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := T
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T
% 24.22/24.64 , Z, X ), ! coll( X, T, Y ) }.
% 24.22/24.64 parent0: (61318) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, T ), coll( Z, T, X )
% 24.22/24.64 , ! coll( X, Z, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := T
% 24.22/24.64 T := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61324) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 24.22/24.64 X ), ! coll( Z, T, Y ) }.
% 24.22/24.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 24.22/24.64 ), coll( Y, Z, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Y
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 24.22/24.64 ( X, Y, T ), coll( Z, X, T ) }.
% 24.22/24.64 parent0: (61324) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 24.22/24.64 , ! coll( Z, T, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := T
% 24.22/24.64 Z := X
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 2
% 24.22/24.64 1 ==> 0
% 24.22/24.64 2 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61326) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0, 1]: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 24.22/24.64 coll( X, Y, T ), coll( Z, X, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (204) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z
% 24.22/24.64 , X, Z ) }.
% 24.22/24.64 parent0: (61326) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61328) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 24.22/24.64 T, X, Y ) }.
% 24.22/24.64 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 24.22/24.64 T, Z ) }.
% 24.22/24.64 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 24.22/24.64 X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := T
% 24.22/24.64 Z := X
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (227) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 24.22/24.64 ( Z, T, Y, X ) }.
% 24.22/24.64 parent0: (61328) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 24.22/24.64 X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := T
% 24.22/24.64 Z := X
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61329) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 24.22/24.64 X ), ! coll( Z, T, Y ) }.
% 24.22/24.64 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 24.22/24.64 X, Z ) }.
% 24.22/24.64 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 24.22/24.64 ), coll( Y, Z, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Y
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (245) {G3,W12,D2,L3,V4,M3} R(204,2) { coll( X, Y, X ), ! coll
% 24.22/24.64 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 24.22/24.64 parent0: (61329) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 24.22/24.64 , ! coll( Z, T, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := X
% 24.22/24.64 T := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61331) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 24.22/24.64 X, Z ) }.
% 24.22/24.64 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (251) {G3,W8,D2,L2,V3,M2} R(204,1) { coll( X, Y, X ), ! coll(
% 24.22/24.64 Z, Y, X ) }.
% 24.22/24.64 parent0: (61331) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61332) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( X, Z, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 24.22/24.64 X, Z ) }.
% 24.22/24.64 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (256) {G3,W8,D2,L2,V3,M2} R(204,0) { coll( X, Y, X ), ! coll(
% 24.22/24.64 Y, X, Z ) }.
% 24.22/24.64 parent0: (61332) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61333) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent0[1, 2]: (245) {G3,W12,D2,L3,V4,M3} R(204,2) { coll( X, Y, X ), !
% 24.22/24.64 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (260) {G4,W8,D2,L2,V3,M2} F(245) { coll( X, Y, X ), ! coll( X
% 24.22/24.64 , Z, Y ) }.
% 24.22/24.64 parent0: (61333) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61334) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol23,
% 24.22/24.64 skol24 ) }.
% 24.22/24.64 parent0[0]: (125) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20,
% 24.22/24.64 skol22 ) }.
% 24.22/24.64 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 24.22/24.64 X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol20
% 24.22/24.64 Y := skol22
% 24.22/24.64 Z := skol23
% 24.22/24.64 T := skol24
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (276) {G1,W5,D2,L1,V0,M1} R(7,125) { ! perp( skol20, skol22,
% 24.22/24.64 skol23, skol24 ) }.
% 24.22/24.64 parent0: (61334) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol23,
% 24.22/24.64 skol24 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61335) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X,
% 24.22/24.64 Y, U, W ), ! perp( U, W, Z, T ) }.
% 24.22/24.64 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 24.22/24.64 , Z, T ), perp( X, Y, Z, T ) }.
% 24.22/24.64 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 24.22/24.64 X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := U
% 24.22/24.64 T := W
% 24.22/24.64 U := Z
% 24.22/24.64 W := T
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := U
% 24.22/24.64 Y := W
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (305) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 24.22/24.64 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 24.22/24.64 parent0: (61335) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X, Y,
% 24.22/24.64 U, W ), ! perp( U, W, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 W := W
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61336) {G1,W4,D2,L1,V0,M1} { midp( skol29, skol20, skol22 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol29, skol22, skol20 )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol20
% 24.22/24.64 Y := skol22
% 24.22/24.64 Z := skol29
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (319) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol29, skol20,
% 24.22/24.64 skol22 ) }.
% 24.22/24.64 parent0: (61336) {G1,W4,D2,L1,V0,M1} { midp( skol29, skol20, skol22 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61337) {G1,W4,D2,L1,V0,M1} { midp( skol30, skol29, skol23 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol23, skol29 )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := skol23
% 24.22/24.64 Z := skol30
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (321) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol30, skol29,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 parent0: (61337) {G1,W4,D2,L1,V0,M1} { midp( skol30, skol29, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61338) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 24.22/24.64 ( X, Z, Y, T ) }.
% 24.22/24.64 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 24.22/24.64 , X, Z, T ) }.
% 24.22/24.64 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 24.22/24.64 , Z, Y, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := Y
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (363) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 24.22/24.64 cyclic( Y, Z, X, T ) }.
% 24.22/24.64 parent0: (61338) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 24.22/24.64 , Z, Y, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61340) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 24.22/24.64 ( Y, X, Z, T ) }.
% 24.22/24.64 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 24.22/24.64 , Z, Y, T ) }.
% 24.22/24.64 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 24.22/24.64 , X, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (364) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 24.22/24.64 cyclic( Y, Z, X, T ) }.
% 24.22/24.64 parent0: (61340) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 24.22/24.64 , X, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61341) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol24,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 parent0[0]: (276) {G1,W5,D2,L1,V0,M1} R(7,125) { ! perp( skol20, skol22,
% 24.22/24.64 skol23, skol24 ) }.
% 24.22/24.64 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 24.22/24.64 T, Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol20
% 24.22/24.64 Y := skol22
% 24.22/24.64 Z := skol24
% 24.22/24.64 T := skol23
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (459) {G2,W5,D2,L1,V0,M1} R(276,6) { ! perp( skol20, skol22,
% 24.22/24.64 skol24, skol23 ) }.
% 24.22/24.64 parent0: (61341) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol24,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61342) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 24.22/24.64 skol22 ) }.
% 24.22/24.64 parent0[0]: (459) {G2,W5,D2,L1,V0,M1} R(276,6) { ! perp( skol20, skol22,
% 24.22/24.64 skol24, skol23 ) }.
% 24.22/24.64 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 24.22/24.64 X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol24
% 24.22/24.64 Y := skol23
% 24.22/24.64 Z := skol20
% 24.22/24.64 T := skol22
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (461) {G3,W5,D2,L1,V0,M1} R(459,7) { ! perp( skol24, skol23,
% 24.22/24.64 skol20, skol22 ) }.
% 24.22/24.64 parent0: (61342) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 24.22/24.64 skol22 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61343) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 24.22/24.64 skol20 ) }.
% 24.22/24.64 parent0[0]: (461) {G3,W5,D2,L1,V0,M1} R(459,7) { ! perp( skol24, skol23,
% 24.22/24.64 skol20, skol22 ) }.
% 24.22/24.64 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 24.22/24.64 T, Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol24
% 24.22/24.64 Y := skol23
% 24.22/24.64 Z := skol22
% 24.22/24.64 T := skol20
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (472) {G4,W5,D2,L1,V0,M1} R(461,6) { ! perp( skol24, skol23,
% 24.22/24.64 skol22, skol20 ) }.
% 24.22/24.64 parent0: (61343) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 24.22/24.64 skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61344) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol20, skol24,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 parent0[0]: (472) {G4,W5,D2,L1,V0,M1} R(461,6) { ! perp( skol24, skol23,
% 24.22/24.64 skol22, skol20 ) }.
% 24.22/24.64 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 24.22/24.64 X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol22
% 24.22/24.64 Y := skol20
% 24.22/24.64 Z := skol24
% 24.22/24.64 T := skol23
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (474) {G5,W5,D2,L1,V0,M1} R(472,7) { ! perp( skol22, skol20,
% 24.22/24.64 skol24, skol23 ) }.
% 24.22/24.64 parent0: (61344) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol20, skol24,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61345) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol20, X, Y )
% 24.22/24.64 , ! perp( X, Y, skol24, skol23 ) }.
% 24.22/24.64 parent0[0]: (474) {G5,W5,D2,L1,V0,M1} R(472,7) { ! perp( skol22, skol20,
% 24.22/24.64 skol24, skol23 ) }.
% 24.22/24.64 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 24.22/24.64 , Z, T ), perp( X, Y, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol22
% 24.22/24.64 Y := skol20
% 24.22/24.64 Z := skol24
% 24.22/24.64 T := skol23
% 24.22/24.64 U := X
% 24.22/24.64 W := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (475) {G6,W10,D2,L2,V2,M2} R(474,9) { ! para( skol22, skol20,
% 24.22/24.64 X, Y ), ! perp( X, Y, skol24, skol23 ) }.
% 24.22/24.64 parent0: (61345) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol20, X, Y ), !
% 24.22/24.64 perp( X, Y, skol24, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61347) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (260) {G4,W8,D2,L2,V3,M2} F(245) { coll( X, Y, X ), ! coll( X,
% 24.22/24.64 Z, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (538) {G5,W8,D2,L2,V3,M2} R(260,1) { ! coll( X, Y, Z ), coll(
% 24.22/24.64 Z, X, X ) }.
% 24.22/24.64 parent0: (61347) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61348) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Z, X, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[1]: (260) {G4,W8,D2,L2,V3,M2} F(245) { coll( X, Y, X ), ! coll( X,
% 24.22/24.64 Z, Y ) }.
% 24.22/24.64 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (539) {G5,W8,D2,L2,V3,M2} R(260,1) { coll( X, Y, X ), ! coll(
% 24.22/24.64 Z, X, Y ) }.
% 24.22/24.64 parent0: (61348) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61349) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (538) {G5,W8,D2,L2,V3,M2} R(260,1) { ! coll( X, Y, Z ), coll( Z
% 24.22/24.64 , X, X ) }.
% 24.22/24.64 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (545) {G6,W8,D2,L2,V3,M2} R(538,1) { coll( X, Y, Y ), ! coll(
% 24.22/24.64 Z, Y, X ) }.
% 24.22/24.64 parent0: (61349) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61350) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (538) {G5,W8,D2,L2,V3,M2} R(260,1) { ! coll( X, Y, Z ), coll( Z
% 24.22/24.64 , X, X ) }.
% 24.22/24.64 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (546) {G6,W8,D2,L2,V3,M2} R(538,0) { coll( X, Y, Y ), ! coll(
% 24.22/24.64 Y, X, Z ) }.
% 24.22/24.64 parent0: (61350) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61352) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (538) {G5,W8,D2,L2,V3,M2} R(260,1) { ! coll( X, Y, Z ), coll( Z
% 24.22/24.64 , X, X ) }.
% 24.22/24.64 parent1[0]: (545) {G6,W8,D2,L2,V3,M2} R(538,1) { coll( X, Y, Y ), ! coll( Z
% 24.22/24.64 , Y, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (547) {G7,W8,D2,L2,V3,M2} R(545,538) { ! coll( X, Y, Z ), coll
% 24.22/24.64 ( Y, Z, Z ) }.
% 24.22/24.64 parent0: (61352) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61353) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[1]: (546) {G6,W8,D2,L2,V3,M2} R(538,0) { coll( X, Y, Y ), ! coll( Y
% 24.22/24.64 , X, Z ) }.
% 24.22/24.64 parent1[0]: (546) {G6,W8,D2,L2,V3,M2} R(538,0) { coll( X, Y, Y ), ! coll( Y
% 24.22/24.64 , X, Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (550) {G7,W8,D2,L2,V3,M2} R(546,546) { ! coll( X, Y, Z ), coll
% 24.22/24.64 ( X, Y, Y ) }.
% 24.22/24.64 parent0: (61353) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61357) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 24.22/24.64 X ), ! coll( X, Y, T ) }.
% 24.22/24.64 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 24.22/24.64 ), coll( Y, Z, X ) }.
% 24.22/24.64 parent1[1]: (550) {G7,W8,D2,L2,V3,M2} R(546,546) { ! coll( X, Y, Z ), coll
% 24.22/24.64 ( X, Y, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := Y
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := T
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (556) {G8,W12,D2,L3,V4,M3} R(550,2) { ! coll( X, Y, Z ), !
% 24.22/24.64 coll( X, Y, T ), coll( T, Y, X ) }.
% 24.22/24.64 parent0: (61357) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 24.22/24.64 , ! coll( X, Y, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := T
% 24.22/24.64 T := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 2
% 24.22/24.64 2 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61360) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0, 1]: (556) {G8,W12,D2,L3,V4,M3} R(550,2) { ! coll( X, Y, Z ), !
% 24.22/24.64 coll( X, Y, T ), coll( T, Y, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (557) {G9,W8,D2,L2,V3,M2} F(556) { ! coll( X, Y, Z ), coll( Z
% 24.22/24.64 , Y, X ) }.
% 24.22/24.64 parent0: (61360) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61361) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (557) {G9,W8,D2,L2,V3,M2} F(556) { ! coll( X, Y, Z ), coll( Z,
% 24.22/24.64 Y, X ) }.
% 24.22/24.64 parent1[1]: (550) {G7,W8,D2,L2,V3,M2} R(546,546) { ! coll( X, Y, Z ), coll
% 24.22/24.64 ( X, Y, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (558) {G10,W8,D2,L2,V3,M2} R(557,550) { coll( X, X, Y ), !
% 24.22/24.64 coll( Y, X, Z ) }.
% 24.22/24.64 parent0: (61361) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61362) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (557) {G9,W8,D2,L2,V3,M2} F(556) { ! coll( X, Y, Z ), coll( Z,
% 24.22/24.64 Y, X ) }.
% 24.22/24.64 parent1[1]: (547) {G7,W8,D2,L2,V3,M2} R(545,538) { ! coll( X, Y, Z ), coll
% 24.22/24.64 ( Y, Z, Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (560) {G10,W8,D2,L2,V3,M2} R(557,547) { coll( X, X, Y ), !
% 24.22/24.64 coll( Z, Y, X ) }.
% 24.22/24.64 parent0: (61362) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61363) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (557) {G9,W8,D2,L2,V3,M2} F(556) { ! coll( X, Y, Z ), coll( Z,
% 24.22/24.64 Y, X ) }.
% 24.22/24.64 parent1[0]: (545) {G6,W8,D2,L2,V3,M2} R(538,1) { coll( X, Y, Y ), ! coll( Z
% 24.22/24.64 , Y, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (561) {G10,W8,D2,L2,V3,M2} R(557,545) { coll( X, X, Y ), !
% 24.22/24.64 coll( Z, X, Y ) }.
% 24.22/24.64 parent0: (61363) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61364) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[1]: (539) {G5,W8,D2,L2,V3,M2} R(260,1) { coll( X, Y, X ), ! coll( Z
% 24.22/24.64 , X, Y ) }.
% 24.22/24.64 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (603) {G6,W8,D2,L2,V3,M2} R(69,539) { ! midp( X, Y, Z ), coll
% 24.22/24.64 ( Y, Z, Y ) }.
% 24.22/24.64 parent0: (61364) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61365) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[1]: (561) {G10,W8,D2,L2,V3,M2} R(557,545) { coll( X, X, Y ), ! coll
% 24.22/24.64 ( Z, X, Y ) }.
% 24.22/24.64 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (604) {G11,W8,D2,L2,V3,M2} R(69,561) { ! midp( X, Y, Z ), coll
% 24.22/24.64 ( Y, Y, Z ) }.
% 24.22/24.64 parent0: (61365) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61366) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol29, skol23 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (321) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol30, skol29,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol30
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := skol23
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (618) {G2,W4,D2,L1,V0,M1} R(69,321) { coll( skol30, skol29,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 parent0: (61366) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol29, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61367) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol20, skol22 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (319) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol29, skol20,
% 24.22/24.64 skol22 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := skol20
% 24.22/24.64 Z := skol22
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (620) {G2,W4,D2,L1,V0,M1} R(69,319) { coll( skol29, skol20,
% 24.22/24.64 skol22 ) }.
% 24.22/24.64 parent0: (61367) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol20, skol22 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61368) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (625) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 24.22/24.64 , X, Z ) }.
% 24.22/24.64 parent0: (61368) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61369) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol23, skol29 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol23, skol29 )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol30
% 24.22/24.64 Y := skol23
% 24.22/24.64 Z := skol29
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (628) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol30, skol23,
% 24.22/24.64 skol29 ) }.
% 24.22/24.64 parent0: (61369) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol23, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61370) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol29, skol23 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[1]: (251) {G3,W8,D2,L2,V3,M2} R(204,1) { coll( X, Y, X ), ! coll( Z
% 24.22/24.64 , Y, X ) }.
% 24.22/24.64 parent1[0]: (618) {G2,W4,D2,L1,V0,M1} R(69,321) { coll( skol30, skol29,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol23
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := skol30
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (633) {G4,W4,D2,L1,V0,M1} R(618,251) { coll( skol23, skol29,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 parent0: (61370) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol29, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61371) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol29 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[1]: (560) {G10,W8,D2,L2,V3,M2} R(557,547) { coll( X, X, Y ), ! coll
% 24.22/24.64 ( Z, Y, X ) }.
% 24.22/24.64 parent1[0]: (618) {G2,W4,D2,L1,V0,M1} R(69,321) { coll( skol30, skol29,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol23
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := skol30
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (638) {G11,W4,D2,L1,V0,M1} R(618,560) { coll( skol23, skol23,
% 24.22/24.64 skol29 ) }.
% 24.22/24.64 parent0: (61371) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61372) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol29 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 24.22/24.64 Z, X ) }.
% 24.22/24.64 parent1[0]: (620) {G2,W4,D2,L1,V0,M1} R(69,319) { coll( skol29, skol20,
% 24.22/24.64 skol22 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := skol20
% 24.22/24.64 Z := skol22
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (795) {G3,W4,D2,L1,V0,M1} R(620,170) { coll( skol20, skol22,
% 24.22/24.64 skol29 ) }.
% 24.22/24.64 parent0: (61372) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61373) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 24.22/24.64 , X, X ), ! para( X, Y, X, Y ) }.
% 24.22/24.64 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 24.22/24.64 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 24.22/24.64 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 24.22/24.64 , Y, U, W, Z, T, U, W ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := X
% 24.22/24.64 T := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := X
% 24.22/24.64 T := Y
% 24.22/24.64 U := X
% 24.22/24.64 W := Z
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (830) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 24.22/24.64 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 24.22/24.64 parent0: (61373) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 24.22/24.64 , X ), ! para( X, Y, X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61374) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 24.22/24.64 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 24.22/24.64 cyclic( X, Y, Z, T ) }.
% 24.22/24.64 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 24.22/24.64 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 24.22/24.64 ), cong( X, Y, Z, T ) }.
% 24.22/24.64 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 24.22/24.64 Z, X, Z, Y, T, X, T, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := X
% 24.22/24.64 T := Y
% 24.22/24.64 U := Z
% 24.22/24.64 W := T
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61376) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 24.22/24.64 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 24.22/24.64 parent0[0, 2]: (61374) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 24.22/24.64 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 24.22/24.64 cyclic( X, Y, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (971) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 24.22/24.64 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 24.22/24.64 parent0: (61376) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 24.22/24.64 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 3
% 24.22/24.64 3 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61381) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 24.22/24.64 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 24.22/24.64 parent0[0, 2]: (971) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 24.22/24.64 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1003) {G2,W15,D2,L3,V3,M3} F(971) { ! cyclic( X, Y, Z, X ), !
% 24.22/24.64 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 24.22/24.64 parent0: (61381) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 24.22/24.64 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61384) {G1,W9,D2,L2,V2,M2} { ! midp( X, skol22, Y ), para( X
% 24.22/24.64 , skol29, Y, skol20 ) }.
% 24.22/24.64 parent0[1]: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U,
% 24.22/24.64 Y ), para( Z, T, X, Y ) }.
% 24.22/24.64 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol29, skol22, skol20 )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := skol20
% 24.22/24.64 Z := X
% 24.22/24.64 T := skol29
% 24.22/24.64 U := skol22
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1032) {G1,W9,D2,L2,V2,M2} R(44,118) { ! midp( X, skol22, Y )
% 24.22/24.64 , para( X, skol29, Y, skol20 ) }.
% 24.22/24.64 parent0: (61384) {G1,W9,D2,L2,V2,M2} { ! midp( X, skol22, Y ), para( X,
% 24.22/24.64 skol29, Y, skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61385) {G1,W8,D2,L2,V1,M2} { ! coll( skol30, skol23, X ),
% 24.22/24.64 coll( skol29, X, skol30 ) }.
% 24.22/24.64 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 24.22/24.64 ), coll( Y, Z, X ) }.
% 24.22/24.64 parent1[0]: (628) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol30, skol23,
% 24.22/24.64 skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol30
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := X
% 24.22/24.64 T := skol23
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1227) {G2,W8,D2,L2,V1,M2} R(628,2) { ! coll( skol30, skol23,
% 24.22/24.64 X ), coll( skol29, X, skol30 ) }.
% 24.22/24.64 parent0: (61385) {G1,W8,D2,L2,V1,M2} { ! coll( skol30, skol23, X ), coll(
% 24.22/24.64 skol29, X, skol30 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61387) {G2,W8,D2,L2,V1,M2} { coll( skol29, X, skol30 ), !
% 24.22/24.64 coll( X, skol30, skol23 ) }.
% 24.22/24.64 parent0[0]: (1227) {G2,W8,D2,L2,V1,M2} R(628,2) { ! coll( skol30, skol23, X
% 24.22/24.64 ), coll( skol29, X, skol30 ) }.
% 24.22/24.64 parent1[1]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 24.22/24.64 Z, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := skol30
% 24.22/24.64 Z := skol23
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1592) {G3,W8,D2,L2,V1,M2} R(1227,170) { coll( skol29, X,
% 24.22/24.64 skol30 ), ! coll( X, skol30, skol23 ) }.
% 24.22/24.64 parent0: (61387) {G2,W8,D2,L2,V1,M2} { coll( skol29, X, skol30 ), ! coll(
% 24.22/24.64 X, skol30, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61389) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X,
% 24.22/24.64 Y, U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 24.22/24.64 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 24.22/24.64 , Z, T ), para( X, Y, Z, T ) }.
% 24.22/24.64 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 24.22/24.64 T, Y, T ), perp( X, Y, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := U
% 24.22/24.64 T := W
% 24.22/24.64 U := Z
% 24.22/24.64 W := T
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := T
% 24.22/24.64 Z := U
% 24.22/24.64 T := W
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1728) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), !
% 24.22/24.64 cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 24.22/24.64 parent0: (61389) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X, Y,
% 24.22/24.64 U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := U
% 24.22/24.64 Y := W
% 24.22/24.64 Z := X
% 24.22/24.64 T := Z
% 24.22/24.64 U := Y
% 24.22/24.64 W := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 2
% 24.22/24.64 1 ==> 3
% 24.22/24.64 2 ==> 0
% 24.22/24.64 3 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61392) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X,
% 24.22/24.64 Z, Y, Z ), ! cong( X, T, Y, T ) }.
% 24.22/24.64 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 24.22/24.64 X, Y ) }.
% 24.22/24.64 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 24.22/24.64 T, Y, T ), perp( X, Y, Z, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1729) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 24.22/24.64 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 24.22/24.64 parent0: (61392) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X, Z,
% 24.22/24.64 Y, Z ), ! cong( X, T, Y, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := Y
% 24.22/24.64 T := T
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 2
% 24.22/24.64 1 ==> 0
% 24.22/24.64 2 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61394) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 24.22/24.64 , X, Z ), para( T, U, Y, Y ) }.
% 24.22/24.64 parent0[0, 1]: (1728) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ),
% 24.22/24.64 ! cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := Y
% 24.22/24.64 U := T
% 24.22/24.64 W := U
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1731) {G2,W15,D2,L3,V5,M3} F(1728) { ! cong( X, Y, Z, Y ), !
% 24.22/24.64 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 24.22/24.64 parent0: (61394) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 24.22/24.64 , X, Z ), para( T, U, Y, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61396) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T,
% 24.22/24.64 Z, U ), ! midp( X, U, T ) }.
% 24.22/24.64 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 24.22/24.64 T ), para( X, Z, Y, T ) }.
% 24.22/24.64 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := Z
% 24.22/24.64 Z := T
% 24.22/24.64 T := U
% 24.22/24.64 U := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := T
% 24.22/24.64 Y := U
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1975) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 24.22/24.64 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 24.22/24.64 parent0: (61396) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z,
% 24.22/24.64 U ), ! midp( X, U, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := T
% 24.22/24.64 U := U
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61399) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0[0, 2]: (1975) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 24.22/24.64 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 T := Z
% 24.22/24.64 U := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (1991) {G2,W9,D2,L2,V3,M2} F(1975) { ! midp( X, Y, Z ), para(
% 24.22/24.64 Y, Z, Z, Y ) }.
% 24.22/24.64 parent0: (61399) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 24.22/24.64 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61401) {G2,W8,D2,L2,V1,M2} { coll( X, skol30, skol29 ), !
% 24.22/24.64 coll( X, skol30, skol23 ) }.
% 24.22/24.64 parent0[0]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 24.22/24.64 Z, X ) }.
% 24.22/24.64 parent1[0]: (1592) {G3,W8,D2,L2,V1,M2} R(1227,170) { coll( skol29, X,
% 24.22/24.64 skol30 ), ! coll( X, skol30, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := X
% 24.22/24.64 Z := skol30
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (3106) {G4,W8,D2,L2,V1,M2} R(1592,170) { ! coll( X, skol30,
% 24.22/24.64 skol23 ), coll( X, skol30, skol29 ) }.
% 24.22/24.64 parent0: (61401) {G2,W8,D2,L2,V1,M2} { coll( X, skol30, skol29 ), ! coll(
% 24.22/24.64 X, skol30, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61404) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol30, Y ), coll(
% 24.22/24.64 skol29, Y, X ), ! coll( X, skol30, skol23 ) }.
% 24.22/24.64 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 24.22/24.64 ), coll( Y, Z, X ) }.
% 24.22/24.64 parent1[1]: (3106) {G4,W8,D2,L2,V1,M2} R(1592,170) { ! coll( X, skol30,
% 24.22/24.64 skol23 ), coll( X, skol30, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := Y
% 24.22/24.64 T := skol30
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (3158) {G5,W12,D2,L3,V2,M3} R(3106,2) { ! coll( X, skol30,
% 24.22/24.64 skol23 ), ! coll( X, skol30, Y ), coll( skol29, Y, X ) }.
% 24.22/24.64 parent0: (61404) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol30, Y ), coll(
% 24.22/24.64 skol29, Y, X ), ! coll( X, skol30, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 2
% 24.22/24.64 2 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61408) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol30, skol23 ), coll(
% 24.22/24.64 skol29, skol23, X ) }.
% 24.22/24.64 parent0[0, 1]: (3158) {G5,W12,D2,L3,V2,M3} R(3106,2) { ! coll( X, skol30,
% 24.22/24.64 skol23 ), ! coll( X, skol30, Y ), coll( skol29, Y, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := skol23
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (3163) {G6,W8,D2,L2,V1,M2} F(3158) { ! coll( X, skol30, skol23
% 24.22/24.64 ), coll( skol29, skol23, X ) }.
% 24.22/24.64 parent0: (61408) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol30, skol23 ), coll(
% 24.22/24.64 skol29, skol23, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61409) {G2,W8,D2,L2,V1,M2} { coll( skol29, skol23, X ), !
% 24.22/24.64 midp( skol30, X, skol23 ) }.
% 24.22/24.64 parent0[0]: (3163) {G6,W8,D2,L2,V1,M2} F(3158) { ! coll( X, skol30, skol23
% 24.22/24.64 ), coll( skol29, skol23, X ) }.
% 24.22/24.64 parent1[1]: (625) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 24.22/24.64 , X, Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol30
% 24.22/24.64 Y := X
% 24.22/24.64 Z := skol23
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (3889) {G7,W8,D2,L2,V1,M2} R(3163,625) { coll( skol29, skol23
% 24.22/24.64 , X ), ! midp( skol30, X, skol23 ) }.
% 24.22/24.64 parent0: (61409) {G2,W8,D2,L2,V1,M2} { coll( skol29, skol23, X ), ! midp(
% 24.22/24.64 skol30, X, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61410) {G2,W8,D2,L2,V1,M2} { coll( skol23, X, skol29 ), !
% 24.22/24.64 midp( skol30, X, skol23 ) }.
% 24.22/24.64 parent0[0]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 24.22/24.64 Z, X ) }.
% 24.22/24.64 parent1[0]: (3889) {G7,W8,D2,L2,V1,M2} R(3163,625) { coll( skol29, skol23,
% 24.22/24.64 X ), ! midp( skol30, X, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := skol23
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (3978) {G8,W8,D2,L2,V1,M2} R(3889,170) { ! midp( skol30, X,
% 24.22/24.64 skol23 ), coll( skol23, X, skol29 ) }.
% 24.22/24.64 parent0: (61410) {G2,W8,D2,L2,V1,M2} { coll( skol23, X, skol29 ), ! midp(
% 24.22/24.64 skol30, X, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61411) {G1,W8,D2,L2,V1,M2} { coll( skol29, X, skol23 ), !
% 24.22/24.64 midp( skol30, X, skol23 ) }.
% 24.22/24.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (3889) {G7,W8,D2,L2,V1,M2} R(3163,625) { coll( skol29, skol23,
% 24.22/24.64 X ), ! midp( skol30, X, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := skol23
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (3984) {G8,W8,D2,L2,V1,M2} R(3889,0) { ! midp( skol30, X,
% 24.22/24.64 skol23 ), coll( skol29, X, skol23 ) }.
% 24.22/24.64 parent0: (61411) {G1,W8,D2,L2,V1,M2} { coll( skol29, X, skol23 ), ! midp(
% 24.22/24.64 skol30, X, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61412) {G1,W8,D2,L2,V1,M2} { coll( skol23, X, skol29 ), !
% 24.22/24.64 midp( skol30, skol23, X ) }.
% 24.22/24.64 parent0[0]: (3978) {G8,W8,D2,L2,V1,M2} R(3889,170) { ! midp( skol30, X,
% 24.22/24.64 skol23 ), coll( skol23, X, skol29 ) }.
% 24.22/24.64 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := skol23
% 24.22/24.64 Z := skol30
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (3988) {G9,W8,D2,L2,V1,M2} R(3978,10) { coll( skol23, X,
% 24.22/24.64 skol29 ), ! midp( skol30, skol23, X ) }.
% 24.22/24.64 parent0: (61412) {G1,W8,D2,L2,V1,M2} { coll( skol23, X, skol29 ), ! midp(
% 24.22/24.64 skol30, skol23, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61413) {G1,W8,D2,L2,V1,M2} { coll( X, skol23, skol29 ), !
% 24.22/24.64 midp( skol30, skol23, X ) }.
% 24.22/24.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (3988) {G9,W8,D2,L2,V1,M2} R(3978,10) { coll( skol23, X, skol29
% 24.22/24.64 ), ! midp( skol30, skol23, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol23
% 24.22/24.64 Y := X
% 24.22/24.64 Z := skol29
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (3998) {G10,W8,D2,L2,V1,M2} R(3988,1) { ! midp( skol30, skol23
% 24.22/24.64 , X ), coll( X, skol23, skol29 ) }.
% 24.22/24.64 parent0: (61413) {G1,W8,D2,L2,V1,M2} { coll( X, skol23, skol29 ), ! midp(
% 24.22/24.64 skol30, skol23, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 1
% 24.22/24.64 1 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61414) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol29, skol23 ), !
% 24.22/24.64 coll( skol23, skol29, skol23 ), midp( skol7( skol29, Y ), skol29, Y ), !
% 24.22/24.64 midp( skol30, skol29, skol23 ) }.
% 24.22/24.64 parent0[1]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 24.22/24.64 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 24.22/24.64 parent1[1]: (3984) {G8,W8,D2,L2,V1,M2} R(3889,0) { ! midp( skol30, X,
% 24.22/24.64 skol23 ), coll( skol29, X, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := skol23
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol29
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61417) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol29, skol23 ),
% 24.22/24.64 midp( skol7( skol29, Y ), skol29, Y ), ! midp( skol30, skol29, skol23 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[1]: (61414) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol29, skol23 ), !
% 24.22/24.64 coll( skol23, skol29, skol23 ), midp( skol7( skol29, Y ), skol29, Y ), !
% 24.22/24.64 midp( skol30, skol29, skol23 ) }.
% 24.22/24.64 parent1[0]: (633) {G4,W4,D2,L1,V0,M1} R(618,251) { coll( skol23, skol29,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (8194) {G9,W14,D3,L3,V2,M3} R(148,3984);r(633) { ! midp( X,
% 24.22/24.64 skol29, skol23 ), midp( skol7( skol29, Y ), skol29, Y ), ! midp( skol30,
% 24.22/24.64 skol29, skol23 ) }.
% 24.22/24.64 parent0: (61417) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol29, skol23 ), midp
% 24.22/24.64 ( skol7( skol29, Y ), skol29, Y ), ! midp( skol30, skol29, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61420) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol23, skol29 ), !
% 24.22/24.64 coll( skol23, skol23, skol29 ), midp( skol7( skol23, Y ), skol23, Y ), !
% 24.22/24.64 midp( skol30, skol23, skol29 ) }.
% 24.22/24.64 parent0[2]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 24.22/24.64 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 24.22/24.64 parent1[1]: (3998) {G10,W8,D2,L2,V1,M2} R(3988,1) { ! midp( skol30, skol23
% 24.22/24.64 , X ), coll( X, skol23, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := skol23
% 24.22/24.64 Z := skol29
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol29
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61423) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol23, skol29 ),
% 24.22/24.64 midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol30, skol23, skol29 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[1]: (61420) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol23, skol29 ), !
% 24.22/24.64 coll( skol23, skol23, skol29 ), midp( skol7( skol23, Y ), skol23, Y ), !
% 24.22/24.64 midp( skol30, skol23, skol29 ) }.
% 24.22/24.64 parent1[0]: (638) {G11,W4,D2,L1,V0,M1} R(618,560) { coll( skol23, skol23,
% 24.22/24.64 skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (8198) {G12,W14,D3,L3,V2,M3} R(148,3998);r(638) { ! midp( X,
% 24.22/24.64 skol23, skol29 ), midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol30,
% 24.22/24.64 skol23, skol29 ) }.
% 24.22/24.64 parent0: (61423) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol23, skol29 ), midp
% 24.22/24.64 ( skol7( skol23, Y ), skol23, Y ), ! midp( skol30, skol23, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 2 ==> 2
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61425) {G12,W10,D3,L2,V1,M2} { ! midp( skol30, skol23, skol29 ),
% 24.22/24.64 midp( skol7( skol23, X ), skol23, X ) }.
% 24.22/24.64 parent0[0, 2]: (8198) {G12,W14,D3,L3,V2,M3} R(148,3998);r(638) { ! midp( X
% 24.22/24.64 , skol23, skol29 ), midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol30
% 24.22/24.64 , skol23, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol30
% 24.22/24.64 Y := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61426) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), skol23
% 24.22/24.64 , X ) }.
% 24.22/24.64 parent0[0]: (61425) {G12,W10,D3,L2,V1,M2} { ! midp( skol30, skol23, skol29
% 24.22/24.64 ), midp( skol7( skol23, X ), skol23, X ) }.
% 24.22/24.64 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol23, skol29 )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (8311) {G13,W6,D3,L1,V1,M1} F(8198);r(120) { midp( skol7(
% 24.22/24.64 skol23, X ), skol23, X ) }.
% 24.22/24.64 parent0: (61426) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), skol23, X
% 24.22/24.64 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 factor: (61427) {G9,W10,D3,L2,V1,M2} { ! midp( skol30, skol29, skol23 ),
% 24.22/24.64 midp( skol7( skol29, X ), skol29, X ) }.
% 24.22/24.64 parent0[0, 2]: (8194) {G9,W14,D3,L3,V2,M3} R(148,3984);r(633) { ! midp( X,
% 24.22/24.64 skol29, skol23 ), midp( skol7( skol29, Y ), skol29, Y ), ! midp( skol30,
% 24.22/24.64 skol29, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol30
% 24.22/24.64 Y := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61428) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol29, X ), skol29
% 24.22/24.64 , X ) }.
% 24.22/24.64 parent0[0]: (61427) {G9,W10,D3,L2,V1,M2} { ! midp( skol30, skol29, skol23
% 24.22/24.64 ), midp( skol7( skol29, X ), skol29, X ) }.
% 24.22/24.64 parent1[0]: (321) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol30, skol29,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (8312) {G10,W6,D3,L1,V1,M1} F(8194);r(321) { midp( skol7(
% 24.22/24.64 skol29, X ), skol29, X ) }.
% 24.22/24.64 parent0: (61428) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol29, X ), skol29, X
% 24.22/24.64 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61429) {G4,W4,D2,L1,V0,M1} { coll( skol31, skol29, skol20 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[0]: (181) {G5,W8,D2,L2,V1,M2} R(2,175) { ! coll( skol20, skol22, X
% 24.22/24.64 ), coll( skol31, X, skol20 ) }.
% 24.22/24.64 parent1[0]: (795) {G3,W4,D2,L1,V0,M1} R(620,170) { coll( skol20, skol22,
% 24.22/24.64 skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (9858) {G6,W4,D2,L1,V0,M1} R(181,795) { coll( skol31, skol29,
% 24.22/24.64 skol20 ) }.
% 24.22/24.64 parent0: (61429) {G4,W4,D2,L1,V0,M1} { coll( skol31, skol29, skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61430) {G4,W4,D2,L1,V0,M1} { coll( skol29, skol31, skol29 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[1]: (256) {G3,W8,D2,L2,V3,M2} R(204,0) { coll( X, Y, X ), ! coll( Y
% 24.22/24.64 , X, Z ) }.
% 24.22/24.64 parent1[0]: (9858) {G6,W4,D2,L1,V0,M1} R(181,795) { coll( skol31, skol29,
% 24.22/24.64 skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := skol31
% 24.22/24.64 Z := skol20
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (9888) {G7,W4,D2,L1,V0,M1} R(9858,256) { coll( skol29, skol31
% 24.22/24.64 , skol29 ) }.
% 24.22/24.64 parent0: (61430) {G4,W4,D2,L1,V0,M1} { coll( skol29, skol31, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61431) {G7,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol31 )
% 24.22/24.64 }.
% 24.22/24.64 parent0[1]: (558) {G10,W8,D2,L2,V3,M2} R(557,550) { coll( X, X, Y ), ! coll
% 24.22/24.64 ( Y, X, Z ) }.
% 24.22/24.64 parent1[0]: (9858) {G6,W4,D2,L1,V0,M1} R(181,795) { coll( skol31, skol29,
% 24.22/24.64 skol20 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := skol31
% 24.22/24.64 Z := skol20
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (9891) {G11,W4,D2,L1,V0,M1} R(9858,558) { coll( skol29, skol29
% 24.22/24.64 , skol31 ) }.
% 24.22/24.64 parent0: (61431) {G7,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol31 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61432) {G11,W4,D2,L1,V1,M1} { coll( skol29, skol29, X ) }.
% 24.22/24.64 parent0[0]: (604) {G11,W8,D2,L2,V3,M2} R(69,561) { ! midp( X, Y, Z ), coll
% 24.22/24.64 ( Y, Y, Z ) }.
% 24.22/24.64 parent1[0]: (8312) {G10,W6,D3,L1,V1,M1} F(8194);r(321) { midp( skol7(
% 24.22/24.64 skol29, X ), skol29, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol7( skol29, X )
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11128) {G12,W4,D2,L1,V1,M1} R(8312,604) { coll( skol29,
% 24.22/24.64 skol29, X ) }.
% 24.22/24.64 parent0: (61432) {G11,W4,D2,L1,V1,M1} { coll( skol29, skol29, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61433) {G7,W4,D2,L1,V1,M1} { coll( skol29, X, skol29 ) }.
% 24.22/24.64 parent0[0]: (603) {G6,W8,D2,L2,V3,M2} R(69,539) { ! midp( X, Y, Z ), coll(
% 24.22/24.64 Y, Z, Y ) }.
% 24.22/24.64 parent1[0]: (8312) {G10,W6,D3,L1,V1,M1} F(8194);r(321) { midp( skol7(
% 24.22/24.64 skol29, X ), skol29, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol7( skol29, X )
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11129) {G11,W4,D2,L1,V1,M1} R(8312,603) { coll( skol29, X,
% 24.22/24.64 skol29 ) }.
% 24.22/24.64 parent0: (61433) {G7,W4,D2,L1,V1,M1} { coll( skol29, X, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61434) {G2,W8,D2,L2,V1,M2} { coll( X, skol31, skol29 ), !
% 24.22/24.64 coll( skol29, X, skol29 ) }.
% 24.22/24.64 parent0[0]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T
% 24.22/24.64 , Z, X ), ! coll( X, T, Y ) }.
% 24.22/24.64 parent1[0]: (9891) {G11,W4,D2,L1,V0,M1} R(9858,558) { coll( skol29, skol29
% 24.22/24.64 , skol31 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := skol31
% 24.22/24.64 T := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61436) {G3,W4,D2,L1,V1,M1} { coll( X, skol31, skol29 ) }.
% 24.22/24.64 parent0[1]: (61434) {G2,W8,D2,L2,V1,M2} { coll( X, skol31, skol29 ), !
% 24.22/24.64 coll( skol29, X, skol29 ) }.
% 24.22/24.64 parent1[0]: (11129) {G11,W4,D2,L1,V1,M1} R(8312,603) { coll( skol29, X,
% 24.22/24.64 skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11190) {G12,W4,D2,L1,V1,M1} R(195,9891);r(11129) { coll( X,
% 24.22/24.64 skol31, skol29 ) }.
% 24.22/24.64 parent0: (61436) {G3,W4,D2,L1,V1,M1} { coll( X, skol31, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61438) {G2,W8,D2,L2,V1,M2} { ! coll( skol29, skol29, X ),
% 24.22/24.64 coll( skol31, X, skol29 ) }.
% 24.22/24.64 parent0[2]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T
% 24.22/24.64 , Z, X ), ! coll( X, T, Y ) }.
% 24.22/24.64 parent1[0]: (9888) {G7,W4,D2,L1,V0,M1} R(9858,256) { coll( skol29, skol31,
% 24.22/24.64 skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol29
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := X
% 24.22/24.64 T := skol31
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61439) {G3,W4,D2,L1,V1,M1} { coll( skol31, X, skol29 ) }.
% 24.22/24.64 parent0[0]: (61438) {G2,W8,D2,L2,V1,M2} { ! coll( skol29, skol29, X ),
% 24.22/24.64 coll( skol31, X, skol29 ) }.
% 24.22/24.64 parent1[0]: (11128) {G12,W4,D2,L1,V1,M1} R(8312,604) { coll( skol29, skol29
% 24.22/24.64 , X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11194) {G13,W4,D2,L1,V1,M1} R(195,9888);r(11128) { coll(
% 24.22/24.64 skol31, X, skol29 ) }.
% 24.22/24.64 parent0: (61439) {G3,W4,D2,L1,V1,M1} { coll( skol31, X, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61440) {G2,W4,D2,L1,V1,M1} { coll( skol31, skol29, X ) }.
% 24.22/24.64 parent0[0]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 24.22/24.64 Z, X ) }.
% 24.22/24.64 parent1[0]: (11190) {G12,W4,D2,L1,V1,M1} R(195,9891);r(11129) { coll( X,
% 24.22/24.64 skol31, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := skol31
% 24.22/24.64 Z := skol29
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11502) {G13,W4,D2,L1,V1,M1} R(11190,170) { coll( skol31,
% 24.22/24.64 skol29, X ) }.
% 24.22/24.64 parent0: (61440) {G2,W4,D2,L1,V1,M1} { coll( skol31, skol29, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61441) {G2,W8,D2,L2,V2,M2} { coll( Y, X, skol31 ), ! coll(
% 24.22/24.64 skol31, Y, skol29 ) }.
% 24.22/24.64 parent0[0]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T
% 24.22/24.64 , Z, X ), ! coll( X, T, Y ) }.
% 24.22/24.64 parent1[0]: (11502) {G13,W4,D2,L1,V1,M1} R(11190,170) { coll( skol31,
% 24.22/24.64 skol29, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol31
% 24.22/24.64 Y := skol29
% 24.22/24.64 Z := X
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61443) {G3,W4,D2,L1,V2,M1} { coll( X, Y, skol31 ) }.
% 24.22/24.64 parent0[1]: (61441) {G2,W8,D2,L2,V2,M2} { coll( Y, X, skol31 ), ! coll(
% 24.22/24.64 skol31, Y, skol29 ) }.
% 24.22/24.64 parent1[0]: (11194) {G13,W4,D2,L1,V1,M1} R(195,9888);r(11128) { coll(
% 24.22/24.64 skol31, X, skol29 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11514) {G14,W4,D2,L1,V2,M1} R(11502,195);r(11194) { coll( X,
% 24.22/24.64 Y, skol31 ) }.
% 24.22/24.64 parent0: (61443) {G3,W4,D2,L1,V2,M1} { coll( X, Y, skol31 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61444) {G2,W4,D2,L1,V2,M1} { coll( Y, skol31, X ) }.
% 24.22/24.64 parent0[0]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 24.22/24.64 Z, X ) }.
% 24.22/24.64 parent1[0]: (11514) {G14,W4,D2,L1,V2,M1} R(11502,195);r(11194) { coll( X, Y
% 24.22/24.64 , skol31 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := skol31
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11549) {G15,W4,D2,L1,V2,M1} R(11514,170) { coll( X, skol31, Y
% 24.22/24.64 ) }.
% 24.22/24.64 parent0: (61444) {G2,W4,D2,L1,V2,M1} { coll( Y, skol31, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61445) {G2,W8,D2,L2,V3,M2} { coll( Z, Y, X ), ! coll( X, Z,
% 24.22/24.64 skol31 ) }.
% 24.22/24.64 parent0[0]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T
% 24.22/24.64 , Z, X ), ! coll( X, T, Y ) }.
% 24.22/24.64 parent1[0]: (11549) {G15,W4,D2,L1,V2,M1} R(11514,170) { coll( X, skol31, Y
% 24.22/24.64 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := skol31
% 24.22/24.64 Z := Y
% 24.22/24.64 T := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61447) {G3,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 24.22/24.64 parent0[1]: (61445) {G2,W8,D2,L2,V3,M2} { coll( Z, Y, X ), ! coll( X, Z,
% 24.22/24.64 skol31 ) }.
% 24.22/24.64 parent1[0]: (11514) {G14,W4,D2,L1,V2,M1} R(11502,195);r(11194) { coll( X, Y
% 24.22/24.64 , skol31 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := Z
% 24.22/24.64 Y := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11554) {G16,W4,D2,L1,V3,M1} R(11549,195);r(11514) { coll( X,
% 24.22/24.64 Y, Z ) }.
% 24.22/24.64 parent0: (61447) {G3,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61448) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), X,
% 24.22/24.64 skol23 ) }.
% 24.22/24.64 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (8311) {G13,W6,D3,L1,V1,M1} F(8198);r(120) { midp( skol7(
% 24.22/24.64 skol23, X ), skol23, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := skol23
% 24.22/24.64 Z := skol7( skol23, X )
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11624) {G14,W6,D3,L1,V1,M1} R(8311,10) { midp( skol7( skol23
% 24.22/24.64 , X ), X, skol23 ) }.
% 24.22/24.64 parent0: (61448) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), X, skol23
% 24.22/24.64 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61449) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol23 ), ! coll
% 24.22/24.64 ( skol23, X, skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 24.22/24.64 parent0[0]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 24.22/24.64 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 24.22/24.64 parent1[0]: (11624) {G14,W6,D3,L1,V1,M1} R(8311,10) { midp( skol7( skol23,
% 24.22/24.64 X ), X, skol23 ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol7( skol23, X )
% 24.22/24.64 Y := X
% 24.22/24.64 Z := skol23
% 24.22/24.64 T := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61452) {G3,W10,D3,L2,V2,M2} { ! coll( skol23, X, skol23 ),
% 24.22/24.64 midp( skol7( X, Y ), X, Y ) }.
% 24.22/24.64 parent0[0]: (61449) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol23 ), ! coll
% 24.22/24.64 ( skol23, X, skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 24.22/24.64 parent1[0]: (11554) {G16,W4,D2,L1,V3,M1} R(11549,195);r(11514) { coll( X, Y
% 24.22/24.64 , Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := X
% 24.22/24.64 Z := skol23
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (11640) {G17,W10,D3,L2,V2,M2} R(11624,148);r(11554) { ! coll(
% 24.22/24.64 skol23, X, skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 24.22/24.64 parent0: (61452) {G3,W10,D3,L2,V2,M2} { ! coll( skol23, X, skol23 ), midp
% 24.22/24.64 ( skol7( X, Y ), X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61454) {G17,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 24.22/24.64 parent0[0]: (11640) {G17,W10,D3,L2,V2,M2} R(11624,148);r(11554) { ! coll(
% 24.22/24.64 skol23, X, skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 24.22/24.64 parent1[0]: (11554) {G16,W4,D2,L1,V3,M1} R(11549,195);r(11514) { coll( X, Y
% 24.22/24.64 , Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := skol23
% 24.22/24.64 Y := X
% 24.22/24.64 Z := skol23
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (20003) {G18,W6,D3,L1,V2,M1} S(11640);r(11554) { midp( skol7(
% 24.22/24.64 X, Y ), X, Y ) }.
% 24.22/24.64 parent0: (61454) {G17,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61455) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 24.22/24.64 , Z, X, Z ) }.
% 24.22/24.64 parent0[0]: (830) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 24.22/24.64 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 24.22/24.64 parent1[0]: (11554) {G16,W4,D2,L1,V3,M1} R(11549,195);r(11514) { coll( X, Y
% 24.22/24.64 , Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := X
% 24.22/24.64 Z := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (20125) {G17,W10,D2,L2,V3,M2} S(830);r(11554) { cyclic( Z, Y,
% 24.22/24.64 X, X ), ! para( X, Z, X, Z ) }.
% 24.22/24.64 parent0: (61455) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X, Z
% 24.22/24.64 , X, Z ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Z
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 1 ==> 1
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61456) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 24.22/24.64 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 24.22/24.64 }.
% 24.22/24.64 parent1[0]: (20003) {G18,W6,D3,L1,V2,M1} S(11640);r(11554) { midp( skol7( X
% 24.22/24.64 , Y ), X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 Z := skol7( X, Y )
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (20769) {G19,W6,D3,L1,V2,M1} R(20003,10) { midp( skol7( X, Y )
% 24.22/24.64 , Y, X ) }.
% 24.22/24.64 parent0: (61456) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61457) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 24.22/24.64 parent0[0]: (1991) {G2,W9,D2,L2,V3,M2} F(1975) { ! midp( X, Y, Z ), para( Y
% 24.22/24.64 , Z, Z, Y ) }.
% 24.22/24.64 parent1[0]: (20769) {G19,W6,D3,L1,V2,M1} R(20003,10) { midp( skol7( X, Y )
% 24.22/24.64 , Y, X ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := skol7( X, Y )
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 subsumption: (57287) {G20,W5,D2,L1,V2,M1} R(1991,20769) { para( X, Y, Y, X
% 24.22/24.64 ) }.
% 24.22/24.64 parent0: (61457) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := Y
% 24.22/24.64 Y := X
% 24.22/24.64 end
% 24.22/24.64 permutation0:
% 24.22/24.64 0 ==> 0
% 24.22/24.64 end
% 24.22/24.64
% 24.22/24.64 resolution: (61458) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 24.22/24.64 parent0[0]: (227) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 24.22/24.64 ( Z, T, Y, X ) }.
% 24.22/24.64 parent1[0]: (57287) {G20,W5,D2,L1,V2,M1} R(1991,20769) { para( X, Y, Y, X )
% 24.22/24.64 }.
% 24.22/24.64 substitution0:
% 24.22/24.64 X := X
% 24.22/24.64 Y := Y
% 24.22/24.64 Z := Y
% 24.22/24.64 T := X
% 24.22/24.64 end
% 24.22/24.64 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (57295) {G21,W5,D2,L1,V2,M1} R(57287,227) { para( X, Y, X, Y )
% 24.22/24.65 }.
% 24.22/24.65 parent0: (61458) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := Y
% 24.22/24.65 Y := X
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61459) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z
% 24.22/24.65 ) }.
% 24.22/24.65 parent0[1]: (142) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 24.22/24.65 , T, Z, T ), midp( X, T, T ) }.
% 24.22/24.65 parent1[0]: (57295) {G21,W5,D2,L1,V2,M1} R(57287,227) { para( X, Y, X, Y )
% 24.22/24.65 }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Y
% 24.22/24.65 T := Z
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := Y
% 24.22/24.65 Y := Z
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (57298) {G22,W8,D2,L2,V3,M2} R(57295,142) { ! midp( X, Y, Y )
% 24.22/24.65 , midp( X, Z, Z ) }.
% 24.22/24.65 parent0: (61459) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z )
% 24.22/24.65 }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 1 ==> 1
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61460) {G20,W6,D3,L1,V2,M1} { midp( skol7( X, X ), Y, Y ) }.
% 24.22/24.65 parent0[0]: (57298) {G22,W8,D2,L2,V3,M2} R(57295,142) { ! midp( X, Y, Y ),
% 24.22/24.65 midp( X, Z, Z ) }.
% 24.22/24.65 parent1[0]: (20769) {G19,W6,D3,L1,V2,M1} R(20003,10) { midp( skol7( X, Y )
% 24.22/24.65 , Y, X ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := skol7( X, X )
% 24.22/24.65 Y := X
% 24.22/24.65 Z := Y
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := X
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (57395) {G23,W6,D3,L1,V2,M1} R(57298,20769) { midp( skol7( X,
% 24.22/24.65 X ), Y, Y ) }.
% 24.22/24.65 parent0: (61460) {G20,W6,D3,L1,V2,M1} { midp( skol7( X, X ), Y, Y ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61461) {G2,W7,D3,L1,V1,M1} { para( skol7( X, X ), skol29,
% 24.22/24.65 skol22, skol20 ) }.
% 24.22/24.65 parent0[0]: (1032) {G1,W9,D2,L2,V2,M2} R(44,118) { ! midp( X, skol22, Y ),
% 24.22/24.65 para( X, skol29, Y, skol20 ) }.
% 24.22/24.65 parent1[0]: (57395) {G23,W6,D3,L1,V2,M1} R(57298,20769) { midp( skol7( X, X
% 24.22/24.65 ), Y, Y ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := skol7( X, X )
% 24.22/24.65 Y := skol22
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := skol22
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (57420) {G24,W7,D3,L1,V1,M1} R(57395,1032) { para( skol7( X, X
% 24.22/24.65 ), skol29, skol22, skol20 ) }.
% 24.22/24.65 parent0: (61461) {G2,W7,D3,L1,V1,M1} { para( skol7( X, X ), skol29, skol22
% 24.22/24.65 , skol20 ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61462) {G2,W7,D3,L1,V1,M1} { para( skol22, skol20, skol29,
% 24.22/24.65 skol7( X, X ) ) }.
% 24.22/24.65 parent0[0]: (227) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 24.22/24.65 ( Z, T, Y, X ) }.
% 24.22/24.65 parent1[0]: (57420) {G24,W7,D3,L1,V1,M1} R(57395,1032) { para( skol7( X, X
% 24.22/24.65 ), skol29, skol22, skol20 ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := skol7( X, X )
% 24.22/24.65 Y := skol29
% 24.22/24.65 Z := skol22
% 24.22/24.65 T := skol20
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (58554) {G25,W7,D3,L1,V1,M1} R(57420,227) { para( skol22,
% 24.22/24.65 skol20, skol29, skol7( X, X ) ) }.
% 24.22/24.65 parent0: (61462) {G2,W7,D3,L1,V1,M1} { para( skol22, skol20, skol29, skol7
% 24.22/24.65 ( X, X ) ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61463) {G7,W7,D3,L1,V1,M1} { ! perp( skol29, skol7( X, X ),
% 24.22/24.65 skol24, skol23 ) }.
% 24.22/24.65 parent0[0]: (475) {G6,W10,D2,L2,V2,M2} R(474,9) { ! para( skol22, skol20, X
% 24.22/24.65 , Y ), ! perp( X, Y, skol24, skol23 ) }.
% 24.22/24.65 parent1[0]: (58554) {G25,W7,D3,L1,V1,M1} R(57420,227) { para( skol22,
% 24.22/24.65 skol20, skol29, skol7( X, X ) ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := skol29
% 24.22/24.65 Y := skol7( X, X )
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (58570) {G26,W7,D3,L1,V1,M1} R(58554,475) { ! perp( skol29,
% 24.22/24.65 skol7( X, X ), skol24, skol23 ) }.
% 24.22/24.65 parent0: (61463) {G7,W7,D3,L1,V1,M1} { ! perp( skol29, skol7( X, X ),
% 24.22/24.65 skol24, skol23 ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61464) {G18,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 24.22/24.65 parent0[1]: (20125) {G17,W10,D2,L2,V3,M2} S(830);r(11554) { cyclic( Z, Y, X
% 24.22/24.65 , X ), ! para( X, Z, X, Z ) }.
% 24.22/24.65 parent1[0]: (57295) {G21,W5,D2,L1,V2,M1} R(57287,227) { para( X, Y, X, Y )
% 24.22/24.65 }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := Z
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := X
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := Z
% 24.22/24.65 Y := X
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (60214) {G22,W5,D2,L1,V3,M1} S(20125);r(57295) { cyclic( Z, Y
% 24.22/24.65 , X, X ) }.
% 24.22/24.65 parent0: (61464) {G18,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := Z
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := X
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61465) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 24.22/24.65 parent0[0]: (364) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 24.22/24.65 cyclic( Y, Z, X, T ) }.
% 24.22/24.65 parent1[0]: (60214) {G22,W5,D2,L1,V3,M1} S(20125);r(57295) { cyclic( Z, Y,
% 24.22/24.65 X, X ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 T := Z
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := Z
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := X
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (60354) {G23,W5,D2,L1,V3,M1} R(60214,364) { cyclic( X, Y, Z, Y
% 24.22/24.65 ) }.
% 24.22/24.65 parent0: (61465) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := Z
% 24.22/24.65 Y := X
% 24.22/24.65 Z := Y
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61466) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 24.22/24.65 parent0[1]: (363) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 24.22/24.65 cyclic( Y, Z, X, T ) }.
% 24.22/24.65 parent1[0]: (60214) {G22,W5,D2,L1,V3,M1} S(20125);r(57295) { cyclic( Z, Y,
% 24.22/24.65 X, X ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 T := X
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Z
% 24.22/24.65 Z := Y
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (60355) {G23,W5,D2,L1,V3,M1} R(60214,363) { cyclic( X, Y, Z, X
% 24.22/24.65 ) }.
% 24.22/24.65 parent0: (61466) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61468) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 24.22/24.65 , Y, X, Y ) }.
% 24.22/24.65 parent0[1]: (1003) {G2,W15,D2,L3,V3,M3} F(971) { ! cyclic( X, Y, Z, X ), !
% 24.22/24.65 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 24.22/24.65 parent1[0]: (60354) {G23,W5,D2,L1,V3,M1} R(60214,364) { cyclic( X, Y, Z, Y
% 24.22/24.65 ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61470) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 24.22/24.65 parent0[0]: (61468) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 24.22/24.65 , Y, X, Y ) }.
% 24.22/24.65 parent1[0]: (60355) {G23,W5,D2,L1,V3,M1} R(60214,363) { cyclic( X, Y, Z, X
% 24.22/24.65 ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (60371) {G24,W5,D2,L1,V2,M1} R(60354,1003);r(60355) { cong( X
% 24.22/24.65 , Y, X, Y ) }.
% 24.22/24.65 parent0: (61470) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61471) {G2,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( Y,
% 24.22/24.65 Z, X, X ) }.
% 24.22/24.65 parent0[0]: (1729) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 24.22/24.65 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 24.22/24.65 parent1[0]: (60371) {G24,W5,D2,L1,V2,M1} R(60354,1003);r(60355) { cong( X,
% 24.22/24.65 Y, X, Y ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := X
% 24.22/24.65 T := Z
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61473) {G3,W5,D2,L1,V3,M1} { perp( Z, Y, X, X ) }.
% 24.22/24.65 parent0[0]: (61471) {G2,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( Y,
% 24.22/24.65 Z, X, X ) }.
% 24.22/24.65 parent1[0]: (60371) {G24,W5,D2,L1,V2,M1} R(60354,1003);r(60355) { cong( X,
% 24.22/24.65 Y, X, Y ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Z
% 24.22/24.65 Z := Y
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (60695) {G25,W5,D2,L1,V3,M1} R(60371,1729);r(60371) { perp( Z
% 24.22/24.65 , Y, X, X ) }.
% 24.22/24.65 parent0: (61473) {G3,W5,D2,L1,V3,M1} { perp( Z, Y, X, X ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61474) {G3,W10,D2,L2,V4,M2} { ! cong( X, Y, X, Y ), para( Z,
% 24.22/24.65 T, Y, Y ) }.
% 24.22/24.65 parent0[1]: (1731) {G2,W15,D2,L3,V5,M3} F(1728) { ! cong( X, Y, Z, Y ), !
% 24.22/24.65 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 24.22/24.65 parent1[0]: (60695) {G25,W5,D2,L1,V3,M1} R(60371,1729);r(60371) { perp( Z,
% 24.22/24.65 Y, X, X ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := X
% 24.22/24.65 T := Z
% 24.22/24.65 U := T
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := T
% 24.22/24.65 Z := Z
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61475) {G4,W5,D2,L1,V3,M1} { para( Z, T, Y, Y ) }.
% 24.22/24.65 parent0[0]: (61474) {G3,W10,D2,L2,V4,M2} { ! cong( X, Y, X, Y ), para( Z,
% 24.22/24.65 T, Y, Y ) }.
% 24.22/24.65 parent1[0]: (60371) {G24,W5,D2,L1,V2,M1} R(60354,1003);r(60355) { cong( X,
% 24.22/24.65 Y, X, Y ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 T := T
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (60721) {G26,W5,D2,L1,V3,M1} R(60695,1731);r(60371) { para( Z
% 24.22/24.65 , T, Y, Y ) }.
% 24.22/24.65 parent0: (61475) {G4,W5,D2,L1,V3,M1} { para( Z, T, Y, Y ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := U
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 T := T
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61476) {G2,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 24.22/24.65 Y, T, U ) }.
% 24.22/24.65 parent0[2]: (305) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 24.22/24.65 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 24.22/24.65 parent1[0]: (60695) {G25,W5,D2,L1,V3,M1} R(60371,1729);r(60371) { perp( Z,
% 24.22/24.65 Y, X, X ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 T := Z
% 24.22/24.65 U := T
% 24.22/24.65 W := U
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := Z
% 24.22/24.65 Y := U
% 24.22/24.65 Z := T
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61477) {G3,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 24.22/24.65 parent0[0]: (61476) {G2,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 24.22/24.65 Y, T, U ) }.
% 24.22/24.65 parent1[0]: (60721) {G26,W5,D2,L1,V3,M1} R(60695,1731);r(60371) { para( Z,
% 24.22/24.65 T, Y, Y ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := Z
% 24.22/24.65 T := T
% 24.22/24.65 U := U
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := W
% 24.22/24.65 Y := Z
% 24.22/24.65 Z := X
% 24.22/24.65 T := Y
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (60726) {G27,W5,D2,L1,V4,M1} R(60695,305);r(60721) { perp( X,
% 24.22/24.65 Y, T, U ) }.
% 24.22/24.65 parent0: (61477) {G3,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 Y := Y
% 24.22/24.65 Z := W
% 24.22/24.65 T := T
% 24.22/24.65 U := U
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 0 ==> 0
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 resolution: (61478) {G27,W0,D0,L0,V0,M0} { }.
% 24.22/24.65 parent0[0]: (58570) {G26,W7,D3,L1,V1,M1} R(58554,475) { ! perp( skol29,
% 24.22/24.65 skol7( X, X ), skol24, skol23 ) }.
% 24.22/24.65 parent1[0]: (60726) {G27,W5,D2,L1,V4,M1} R(60695,305);r(60721) { perp( X, Y
% 24.22/24.65 , T, U ) }.
% 24.22/24.65 substitution0:
% 24.22/24.65 X := X
% 24.22/24.65 end
% 24.22/24.65 substitution1:
% 24.22/24.65 X := skol29
% 24.22/24.65 Y := skol7( X, X )
% 24.22/24.65 Z := Y
% 24.22/24.65 T := skol24
% 24.22/24.65 U := skol23
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 subsumption: (60734) {G28,W0,D0,L0,V0,M0} R(60726,58570) { }.
% 24.22/24.65 parent0: (61478) {G27,W0,D0,L0,V0,M0} { }.
% 24.22/24.65 substitution0:
% 24.22/24.65 end
% 24.22/24.65 permutation0:
% 24.22/24.65 end
% 24.22/24.65
% 24.22/24.65 Proof check complete!
% 24.22/24.65
% 24.22/24.65 Memory use:
% 24.22/24.65
% 24.22/24.65 space for terms: 885553
% 24.22/24.65 space for clauses: 3008308
% 24.22/24.65
% 24.22/24.65
% 24.22/24.65 clauses generated: 418073
% 24.22/24.65 clauses kept: 60735
% 24.22/24.65 clauses selected: 3594
% 24.22/24.65 clauses deleted: 26317
% 24.22/24.65 clauses inuse deleted: 1561
% 24.22/24.65
% 24.22/24.65 subsentry: 8538769
% 24.22/24.65 literals s-matched: 5621080
% 24.22/24.65 literals matched: 2745686
% 24.22/24.65 full subsumption: 1453542
% 24.22/24.65
% 24.22/24.65 checksum: -1859870273
% 24.22/24.65
% 24.22/24.65
% 24.22/24.65 Bliksem ended
%------------------------------------------------------------------------------