%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO595+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:58 EDT 2022
% Result : Theorem 3.24s 3.67s
% Output : Refutation 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO595+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Fri Jun 17 21:52:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.47/1.16 *** allocated 10000 integers for termspace/termends
% 0.47/1.16 *** allocated 10000 integers for clauses
% 0.47/1.16 *** allocated 10000 integers for justifications
% 0.47/1.16 Bliksem 1.12
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 Automatic Strategy Selection
% 0.47/1.16
% 0.47/1.16 *** allocated 15000 integers for termspace/termends
% 0.47/1.16
% 0.47/1.16 Clauses:
% 0.47/1.16
% 0.47/1.16 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.47/1.16 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.47/1.16 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.47/1.16 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.47/1.16 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.47/1.16 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.47/1.16 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.47/1.16 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.47/1.16 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.47/1.16 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.47/1.16 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.47/1.16 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.47/1.16 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.47/1.16 ( X, Y, Z, T ) }.
% 0.47/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.47/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.47/1.16 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.47/1.16 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.47/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.47/1.16 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.47/1.16 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.47/1.16 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.47/1.16 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.47/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.47/1.16 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.47/1.16 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.47/1.16 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.47/1.16 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.47/1.16 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.47/1.16 ( X, Y, Z, T, U, W ) }.
% 0.47/1.16 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.47/1.16 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.47/1.16 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.47/1.16 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.47/1.16 ( X, Y, Z, T, U, W ) }.
% 0.47/1.16 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.47/1.16 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.47/1.16 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.47/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.47/1.16 T ) }.
% 0.47/1.16 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.47/1.16 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.47/1.16 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.47/1.16 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.47/1.16 ) }.
% 0.47/1.16 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.47/1.16 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.47/1.16 }.
% 0.47/1.16 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.47/1.16 Z, Y ) }.
% 0.47/1.16 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.47/1.16 X, Z ) }.
% 0.47/1.16 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.47/1.16 U ) }.
% 0.47/1.16 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.47/1.16 , Z ), midp( Z, X, Y ) }.
% 0.47/1.16 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.47/1.16 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.47/1.16 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.47/1.16 Z, Y ) }.
% 0.47/1.16 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.47/1.16 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.47/1.16 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.47/1.16 ( Y, X, X, Z ) }.
% 0.47/1.16 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.47/1.16 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.47/1.16 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.47/1.16 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.47/1.16 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.47/1.16 , W ) }.
% 0.47/1.16 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.47/1.16 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.47/1.16 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.47/1.16 , Y ) }.
% 0.47/1.16 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.47/1.16 , X, Z, U, Y, Y, T ) }.
% 0.47/1.16 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.47/1.16 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.47/1.16 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.47/1.16 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.47/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.47/1.16 .
% 0.47/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.47/1.16 ) }.
% 0.47/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.47/1.16 , Z, T ) }.
% 0.47/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.47/1.16 , Z, T ) }.
% 0.47/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.47/1.16 , Z, T ) }.
% 0.47/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.47/1.16 , W, Z, T ), Z, T ) }.
% 0.47/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.47/1.16 , Y, Z, T ), X, Y ) }.
% 0.47/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.47/1.16 , W, Z, T ), Z, T ) }.
% 0.47/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.47/1.16 skol2( X, Y, Z, T ) ) }.
% 0.47/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.47/1.16 , W, Z, T ), Z, T ) }.
% 0.47/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.47/1.16 skol3( X, Y, Z, T ) ) }.
% 0.47/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.47/1.16 , T ) }.
% 0.47/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.47/1.16 ) ) }.
% 0.47/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.47/1.16 skol5( W, Y, Z, T ) ) }.
% 0.47/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.47/1.16 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.47/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.47/1.16 , X, T ) }.
% 0.47/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.47/1.16 W, X, Z ) }.
% 0.47/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.47/1.16 , Y, T ) }.
% 0.47/1.16 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.47/1.16 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.47/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.47/1.16 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.47/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.47/1.16 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.47/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.47/1.16 Z, T ) ) }.
% 0.47/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.47/1.16 , T ) ) }.
% 0.47/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.47/1.16 , X, Y ) }.
% 0.47/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.47/1.16 ) }.
% 0.47/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.47/1.16 , Y ) }.
% 0.47/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.47/1.16 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.47/1.16 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.47/1.16 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.47/1.16 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.24/3.67 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.24/3.67 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.24/3.67 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.24/3.67 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.24/3.67 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.24/3.67 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.24/3.67 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.24/3.67 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.24/3.67 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.24/3.67 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.24/3.67 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.24/3.67 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.24/3.67 X, Y, Z ) }.
% 3.24/3.67 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.24/3.67 }.
% 3.24/3.67 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.24/3.67 ) }.
% 3.24/3.67 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.24/3.67 skol17( X, Y ), X, Y ) }.
% 3.24/3.67 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.24/3.67 }.
% 3.24/3.67 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.24/3.67 ) }.
% 3.24/3.67 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.24/3.67 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.24/3.67 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.24/3.67 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.24/3.67 { perp( skol26, skol25, skol20, skol22 ) }.
% 3.24/3.67 { coll( skol26, skol20, skol22 ) }.
% 3.24/3.67 { midp( skol27, skol25, skol26 ) }.
% 3.24/3.67 { circle( skol27, skol26, skol28, skol29 ) }.
% 3.24/3.67 { coll( skol23, skol25, skol20 ) }.
% 3.24/3.67 { circle( skol27, skol26, skol23, skol30 ) }.
% 3.24/3.67 { coll( skol24, skol25, skol22 ) }.
% 3.24/3.67 { circle( skol27, skol26, skol24, skol31 ) }.
% 3.24/3.67 { ! cyclic( skol20, skol22, skol23, skol24 ) }.
% 3.24/3.67
% 3.24/3.67 percentage equality = 0.008746, percentage horn = 0.928000
% 3.24/3.67 This is a problem with some equality
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 Options Used:
% 3.24/3.67
% 3.24/3.67 useres = 1
% 3.24/3.67 useparamod = 1
% 3.24/3.67 useeqrefl = 1
% 3.24/3.67 useeqfact = 1
% 3.24/3.67 usefactor = 1
% 3.24/3.67 usesimpsplitting = 0
% 3.24/3.67 usesimpdemod = 5
% 3.24/3.67 usesimpres = 3
% 3.24/3.67
% 3.24/3.67 resimpinuse = 1000
% 3.24/3.67 resimpclauses = 20000
% 3.24/3.67 substype = eqrewr
% 3.24/3.67 backwardsubs = 1
% 3.24/3.67 selectoldest = 5
% 3.24/3.67
% 3.24/3.67 litorderings [0] = split
% 3.24/3.67 litorderings [1] = extend the termordering, first sorting on arguments
% 3.24/3.67
% 3.24/3.67 termordering = kbo
% 3.24/3.67
% 3.24/3.67 litapriori = 0
% 3.24/3.67 termapriori = 1
% 3.24/3.67 litaposteriori = 0
% 3.24/3.67 termaposteriori = 0
% 3.24/3.67 demodaposteriori = 0
% 3.24/3.67 ordereqreflfact = 0
% 3.24/3.67
% 3.24/3.67 litselect = negord
% 3.24/3.67
% 3.24/3.67 maxweight = 15
% 3.24/3.67 maxdepth = 30000
% 3.24/3.67 maxlength = 115
% 3.24/3.67 maxnrvars = 195
% 3.24/3.67 excuselevel = 1
% 3.24/3.67 increasemaxweight = 1
% 3.24/3.67
% 3.24/3.67 maxselected = 10000000
% 3.24/3.67 maxnrclauses = 10000000
% 3.24/3.67
% 3.24/3.67 showgenerated = 0
% 3.24/3.67 showkept = 0
% 3.24/3.67 showselected = 0
% 3.24/3.67 showdeleted = 0
% 3.24/3.67 showresimp = 1
% 3.24/3.67 showstatus = 2000
% 3.24/3.67
% 3.24/3.67 prologoutput = 0
% 3.24/3.67 nrgoals = 5000000
% 3.24/3.67 totalproof = 1
% 3.24/3.67
% 3.24/3.67 Symbols occurring in the translation:
% 3.24/3.67
% 3.24/3.67 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.24/3.67 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 3.24/3.67 ! [4, 1] (w:0, o:39, a:1, s:1, b:0),
% 3.24/3.67 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.24/3.67 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.24/3.67 coll [38, 3] (w:1, o:72, a:1, s:1, b:0),
% 3.24/3.67 para [40, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.24/3.67 perp [43, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.24/3.67 midp [45, 3] (w:1, o:73, a:1, s:1, b:0),
% 3.24/3.67 cong [47, 4] (w:1, o:82, a:1, s:1, b:0),
% 3.24/3.67 circle [48, 4] (w:1, o:83, a:1, s:1, b:0),
% 3.24/3.67 cyclic [49, 4] (w:1, o:84, a:1, s:1, b:0),
% 3.24/3.67 eqangle [54, 8] (w:1, o:99, a:1, s:1, b:0),
% 3.24/3.67 eqratio [57, 8] (w:1, o:100, a:1, s:1, b:0),
% 3.24/3.67 simtri [59, 6] (w:1, o:96, a:1, s:1, b:0),
% 3.24/3.67 contri [60, 6] (w:1, o:97, a:1, s:1, b:0),
% 3.24/3.67 alpha1 [68, 3] (w:1, o:74, a:1, s:1, b:1),
% 3.24/3.67 alpha2 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.24/3.67 skol1 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.24/3.67 skol2 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.24/3.67 skol3 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 3.24/3.67 skol4 [73, 4] (w:1, o:91, a:1, s:1, b:1),
% 3.24/3.67 skol5 [74, 4] (w:1, o:92, a:1, s:1, b:1),
% 3.24/3.67 skol6 [75, 6] (w:1, o:98, a:1, s:1, b:1),
% 3.24/3.67 skol7 [76, 2] (w:1, o:68, a:1, s:1, b:1),
% 3.24/3.67 skol8 [77, 4] (w:1, o:93, a:1, s:1, b:1),
% 3.24/3.67 skol9 [78, 4] (w:1, o:94, a:1, s:1, b:1),
% 3.24/3.67 skol10 [79, 3] (w:1, o:75, a:1, s:1, b:1),
% 3.24/3.67 skol11 [80, 3] (w:1, o:76, a:1, s:1, b:1),
% 3.24/3.67 skol12 [81, 2] (w:1, o:69, a:1, s:1, b:1),
% 3.24/3.67 skol13 [82, 5] (w:1, o:95, a:1, s:1, b:1),
% 3.24/3.67 skol14 [83, 3] (w:1, o:77, a:1, s:1, b:1),
% 3.24/3.67 skol15 [84, 3] (w:1, o:78, a:1, s:1, b:1),
% 3.24/3.67 skol16 [85, 3] (w:1, o:79, a:1, s:1, b:1),
% 3.24/3.67 skol17 [86, 2] (w:1, o:70, a:1, s:1, b:1),
% 3.24/3.67 skol18 [87, 2] (w:1, o:71, a:1, s:1, b:1),
% 3.24/3.67 skol19 [88, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.24/3.67 skol20 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 3.24/3.67 skol21 [90, 4] (w:1, o:89, a:1, s:1, b:1),
% 3.24/3.67 skol22 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 3.24/3.67 skol23 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 3.24/3.67 skol24 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 3.24/3.67 skol25 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 3.24/3.67 skol26 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 3.24/3.67 skol27 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 3.24/3.67 skol28 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 3.24/3.67 skol29 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 3.24/3.67 skol30 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 3.24/3.67 skol31 [100, 0] (w:1, o:38, a:1, s:1, b:1).
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 Starting Search:
% 3.24/3.67
% 3.24/3.67 *** allocated 15000 integers for clauses
% 3.24/3.67 *** allocated 22500 integers for clauses
% 3.24/3.67 *** allocated 33750 integers for clauses
% 3.24/3.67 *** allocated 50625 integers for clauses
% 3.24/3.67 *** allocated 22500 integers for termspace/termends
% 3.24/3.67 *** allocated 75937 integers for clauses
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 *** allocated 33750 integers for termspace/termends
% 3.24/3.67 *** allocated 113905 integers for clauses
% 3.24/3.67 *** allocated 50625 integers for termspace/termends
% 3.24/3.67
% 3.24/3.67 Intermediate Status:
% 3.24/3.67 Generated: 10319
% 3.24/3.67 Kept: 2015
% 3.24/3.67 Inuse: 331
% 3.24/3.67 Deleted: 0
% 3.24/3.67 Deletedinuse: 0
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 *** allocated 170857 integers for clauses
% 3.24/3.67 *** allocated 75937 integers for termspace/termends
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 *** allocated 256285 integers for clauses
% 3.24/3.67 *** allocated 113905 integers for termspace/termends
% 3.24/3.67
% 3.24/3.67 Intermediate Status:
% 3.24/3.67 Generated: 22817
% 3.24/3.67 Kept: 4034
% 3.24/3.67 Inuse: 471
% 3.24/3.67 Deleted: 0
% 3.24/3.67 Deletedinuse: 0
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 *** allocated 384427 integers for clauses
% 3.24/3.67 *** allocated 170857 integers for termspace/termends
% 3.24/3.67
% 3.24/3.67 Intermediate Status:
% 3.24/3.67 Generated: 37378
% 3.24/3.67 Kept: 6159
% 3.24/3.67 Inuse: 546
% 3.24/3.67 Deleted: 0
% 3.24/3.67 Deletedinuse: 0
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 *** allocated 576640 integers for clauses
% 3.24/3.67
% 3.24/3.67 Intermediate Status:
% 3.24/3.67 Generated: 51879
% 3.24/3.67 Kept: 8161
% 3.24/3.67 Inuse: 709
% 3.24/3.67 Deleted: 68
% 3.24/3.67 Deletedinuse: 0
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 *** allocated 256285 integers for termspace/termends
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 Intermediate Status:
% 3.24/3.67 Generated: 61298
% 3.24/3.67 Kept: 10169
% 3.24/3.67 Inuse: 873
% 3.24/3.67 Deleted: 750
% 3.24/3.67 Deletedinuse: 505
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 *** allocated 864960 integers for clauses
% 3.24/3.67
% 3.24/3.67 Intermediate Status:
% 3.24/3.67 Generated: 72072
% 3.24/3.67 Kept: 12179
% 3.24/3.67 Inuse: 1044
% 3.24/3.67 Deleted: 756
% 3.24/3.67 Deletedinuse: 505
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 Intermediate Status:
% 3.24/3.67 Generated: 83381
% 3.24/3.67 Kept: 14195
% 3.24/3.67 Inuse: 1246
% 3.24/3.67 Deleted: 756
% 3.24/3.67 Deletedinuse: 505
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 *** allocated 384427 integers for termspace/termends
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 Intermediate Status:
% 3.24/3.67 Generated: 95001
% 3.24/3.67 Kept: 16196
% 3.24/3.67 Inuse: 1424
% 3.24/3.67 Deleted: 801
% 3.24/3.67 Deletedinuse: 542
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 *** allocated 1297440 integers for clauses
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 Intermediate Status:
% 3.24/3.67 Generated: 123169
% 3.24/3.67 Kept: 18304
% 3.24/3.67 Inuse: 1896
% 3.24/3.67 Deleted: 862
% 3.24/3.67 Deletedinuse: 542
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 Resimplifying inuse:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67 Resimplifying clauses:
% 3.24/3.67 Done
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 Bliksems!, er is een bewijs:
% 3.24/3.67 % SZS status Theorem
% 3.24/3.67 % SZS output start Refutation
% 3.24/3.67
% 3.24/3.67 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.24/3.67 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.24/3.67 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 3.24/3.67 , Z, X ) }.
% 3.24/3.67 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 3.24/3.67 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 3.24/3.67 para( X, Y, Z, T ) }.
% 3.24/3.67 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.24/3.67 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 3.24/3.67 }.
% 3.24/3.67 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 3.24/3.67 }.
% 3.24/3.67 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 3.24/3.67 }.
% 3.24/3.67 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 3.24/3.67 ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.24/3.67 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.24/3.67 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 3.24/3.67 , T, U, W ) }.
% 3.24/3.67 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 3.24/3.67 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.24/3.67 (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para
% 3.24/3.67 ( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.24/3.67 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 3.24/3.67 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.24/3.67 (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol25, skol26 ) }.
% 3.24/3.67 (124) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23, skol24 )
% 3.24/3.67 }.
% 3.24/3.67 (140) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 3.24/3.67 (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 3.24/3.67 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.24/3.67 (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 3.24/3.67 (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 3.24/3.67 (196) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 3.24/3.67 coll( Z, X, T ) }.
% 3.24/3.67 (203) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 3.24/3.67 (236) {G3,W12,D2,L3,V4,M3} R(203,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 3.24/3.67 coll( X, Z, T ) }.
% 3.24/3.67 (242) {G3,W8,D2,L2,V3,M2} R(203,1) { coll( X, Y, X ), ! coll( Z, Y, X ) }.
% 3.24/3.67 (251) {G4,W8,D2,L2,V3,M2} F(236) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 3.24/3.67 (253) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 3.24/3.67 ), ! para( X, Y, U, W ) }.
% 3.24/3.67 (254) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( X, Y, U, W
% 3.24/3.67 ), ! para( U, W, Z, T ) }.
% 3.24/3.67 (258) {G2,W10,D2,L2,V4,M2} F(254) { ! para( X, Y, Z, T ), para( X, Y, X, Y
% 3.24/3.67 ) }.
% 3.24/3.67 (259) {G2,W10,D2,L2,V4,M2} F(253) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 3.24/3.67 ) }.
% 3.24/3.67 (323) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol27, skol26, skol25 ) }.
% 3.24/3.67 (354) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 3.24/3.67 , T, Y ) }.
% 3.24/3.67 (365) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.24/3.67 , X, T ) }.
% 3.24/3.67 (368) {G1,W5,D2,L1,V0,M1} R(15,124) { ! cyclic( skol22, skol20, skol23,
% 3.24/3.67 skol24 ) }.
% 3.24/3.67 (391) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.24/3.67 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.24/3.67 (427) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 3.24/3.67 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 (437) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.24/3.67 (441) {G2,W5,D2,L1,V0,M1} R(368,14) { ! cyclic( skol22, skol23, skol20,
% 3.24/3.67 skol24 ) }.
% 3.24/3.67 (445) {G3,W5,D2,L1,V0,M1} R(441,15) { ! cyclic( skol23, skol22, skol20,
% 3.24/3.67 skol24 ) }.
% 3.24/3.67 (448) {G4,W5,D2,L1,V0,M1} R(445,14) { ! cyclic( skol23, skol20, skol22,
% 3.24/3.67 skol24 ) }.
% 3.24/3.67 (464) {G5,W5,D2,L1,V0,M1} R(448,13) { ! cyclic( skol23, skol20, skol24,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 (465) {G6,W5,D2,L1,V0,M1} R(464,15) { ! cyclic( skol20, skol23, skol24,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 (468) {G7,W5,D2,L1,V0,M1} R(465,14) { ! cyclic( skol20, skol24, skol23,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 (470) {G8,W5,D2,L1,V0,M1} R(468,15) { ! cyclic( skol24, skol20, skol23,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 (481) {G9,W5,D2,L1,V0,M1} R(470,14) { ! cyclic( skol24, skol23, skol20,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 (485) {G10,W5,D2,L1,V0,M1} R(481,13) { ! cyclic( skol24, skol23, skol22,
% 3.24/3.67 skol20 ) }.
% 3.24/3.67 (487) {G11,W5,D2,L1,V0,M1} R(485,14) { ! cyclic( skol24, skol22, skol23,
% 3.24/3.67 skol20 ) }.
% 3.24/3.67 (500) {G12,W5,D2,L1,V0,M1} R(487,15) { ! cyclic( skol22, skol24, skol23,
% 3.24/3.67 skol20 ) }.
% 3.24/3.67 (502) {G13,W10,D2,L2,V1,M2} R(500,16) { ! cyclic( X, skol22, skol24, skol23
% 3.24/3.67 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.24/3.67 (557) {G5,W8,D2,L2,V3,M2} R(251,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 3.24/3.67 (562) {G6,W8,D2,L2,V3,M2} R(557,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 3.24/3.67 (563) {G6,W8,D2,L2,V3,M2} R(557,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 3.24/3.67 (576) {G7,W8,D2,L2,V3,M2} R(562,557) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 3.24/3.67 }.
% 3.24/3.67 (579) {G7,W8,D2,L2,V3,M2} R(563,563) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 3.24/3.67 }.
% 3.24/3.67 (582) {G8,W12,D2,L3,V4,M3} R(579,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 3.24/3.67 , coll( T, Y, X ) }.
% 3.24/3.67 (583) {G9,W8,D2,L2,V3,M2} F(582) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 3.24/3.67 (586) {G10,W8,D2,L2,V3,M2} R(583,576) { coll( X, X, Y ), ! coll( Z, Y, X )
% 3.24/3.67 }.
% 3.24/3.67 (587) {G10,W8,D2,L2,V3,M2} R(583,562) { coll( X, X, Y ), ! coll( Z, X, Y )
% 3.24/3.67 }.
% 3.24/3.67 (628) {G2,W8,D2,L2,V3,M2} R(69,168) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 3.24/3.67 }.
% 3.24/3.67 (635) {G11,W8,D2,L2,V3,M2} R(69,587) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 3.24/3.67 }.
% 3.24/3.67 (649) {G2,W4,D2,L1,V0,M1} R(69,323) { coll( skol27, skol26, skol25 ) }.
% 3.24/3.67 (654) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 3.24/3.67 (655) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol27, skol25, skol26 ) }.
% 3.24/3.67 (660) {G4,W4,D2,L1,V0,M1} R(649,242) { coll( skol25, skol26, skol25 ) }.
% 3.24/3.67 (665) {G11,W4,D2,L1,V0,M1} R(649,586) { coll( skol25, skol25, skol26 ) }.
% 3.24/3.67 (741) {G2,W8,D2,L2,V1,M2} R(655,2) { ! coll( skol27, skol25, X ), coll(
% 3.24/3.67 skol26, X, skol27 ) }.
% 3.24/3.67 (806) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 3.24/3.67 ), ! para( X, Z, X, Z ) }.
% 3.24/3.67 (1152) {G3,W8,D2,L2,V1,M2} R(741,169) { coll( skol26, X, skol27 ), ! coll(
% 3.24/3.67 X, skol27, skol25 ) }.
% 3.24/3.67 (1961) {G4,W8,D2,L2,V1,M2} R(1152,169) { ! coll( X, skol27, skol25 ), coll
% 3.24/3.67 ( X, skol27, skol26 ) }.
% 3.24/3.67 (2019) {G5,W12,D2,L3,V2,M3} R(1961,2) { ! coll( X, skol27, skol25 ), ! coll
% 3.24/3.67 ( X, skol27, Y ), coll( skol26, Y, X ) }.
% 3.24/3.67 (2024) {G6,W8,D2,L2,V1,M2} F(2019) { ! coll( X, skol27, skol25 ), coll(
% 3.24/3.67 skol26, skol25, X ) }.
% 3.24/3.67 (2941) {G7,W8,D2,L2,V1,M2} R(2024,654) { coll( skol26, skol25, X ), ! midp
% 3.24/3.67 ( skol27, X, skol25 ) }.
% 3.24/3.67 (2944) {G7,W8,D2,L2,V1,M2} R(2024,628) { coll( skol26, skol25, X ), ! midp
% 3.24/3.67 ( skol27, skol25, X ) }.
% 3.24/3.67 (3000) {G8,W8,D2,L2,V1,M2} R(2941,0) { ! midp( skol27, X, skol25 ), coll(
% 3.24/3.67 skol26, X, skol25 ) }.
% 3.24/3.67 (7780) {G12,W14,D3,L3,V2,M3} R(147,2944);r(665) { ! midp( X, skol25, skol26
% 3.24/3.67 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27, skol25, skol26
% 3.24/3.67 ) }.
% 3.24/3.67 (7791) {G9,W14,D3,L3,V2,M3} R(147,3000);r(660) { ! midp( X, skol26, skol25
% 3.24/3.67 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27, skol26, skol25
% 3.24/3.67 ) }.
% 3.24/3.67 (7884) {G10,W6,D3,L1,V1,M1} F(7791);r(323) { midp( skol7( skol26, X ),
% 3.24/3.67 skol26, X ) }.
% 3.24/3.67 (7885) {G13,W6,D3,L1,V1,M1} F(7780);r(118) { midp( skol7( skol25, X ),
% 3.24/3.67 skol25, X ) }.
% 3.24/3.67 (7933) {G14,W4,D2,L1,V1,M1} R(7885,635) { coll( skol25, skol25, X ) }.
% 3.24/3.67 (7992) {G15,W4,D2,L1,V2,M1} R(7933,2);r(7933) { coll( Y, X, skol25 ) }.
% 3.24/3.67 (8017) {G16,W4,D2,L1,V2,M1} R(7992,169) { coll( X, skol25, Y ) }.
% 3.24/3.67 (8030) {G17,W4,D2,L1,V3,M1} R(8017,2);r(8017) { coll( Z, Y, X ) }.
% 3.24/3.67 (8090) {G11,W5,D2,L1,V1,M1} R(7884,140) { para( skol26, skol26, X, X ) }.
% 3.24/3.67 (8110) {G12,W5,D2,L1,V1,M1} R(8090,4) { para( X, X, skol26, skol26 ) }.
% 3.24/3.67 (8479) {G13,W5,D2,L1,V1,M1} R(258,8110) { para( X, X, X, X ) }.
% 3.24/3.67 (8486) {G14,W9,D2,L1,V3,M1} R(8479,39) { eqangle( X, X, Y, Z, X, X, Y, Z )
% 3.24/3.67 }.
% 3.24/3.67 (14948) {G15,W9,D2,L1,V3,M1} R(8486,437) { eqangle( X, X, X, X, Y, Z, Y, Z
% 3.24/3.67 ) }.
% 3.24/3.67 (14953) {G16,W9,D2,L1,V3,M1} R(14948,427) { eqangle( X, Y, Y, X, Z, Z, Z, Z
% 3.24/3.67 ) }.
% 3.24/3.67 (14960) {G17,W5,D2,L1,V2,M1} R(14953,72);r(8479) { para( Y, Z, Z, Y ) }.
% 3.24/3.67 (14961) {G18,W5,D2,L1,V2,M1} R(14960,259) { para( X, Y, X, Y ) }.
% 3.24/3.67 (20129) {G19,W5,D2,L1,V3,M1} S(806);r(8030);r(14961) { cyclic( Z, Y, X, X )
% 3.24/3.67 }.
% 3.24/3.67 (20176) {G20,W5,D2,L1,V3,M1} R(20129,365) { cyclic( X, Y, Z, Y ) }.
% 3.24/3.67 (20178) {G20,W5,D2,L1,V3,M1} R(20129,354) { cyclic( X, Y, Y, Z ) }.
% 3.24/3.67 (20211) {G21,W5,D2,L1,V3,M1} R(20176,391);r(20178) { cyclic( Y, Y, Z, T )
% 3.24/3.67 }.
% 3.24/3.67 (20220) {G22,W0,D0,L0,V0,M0} R(20211,502);r(20211) { }.
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 % SZS output end Refutation
% 3.24/3.67 found a proof!
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 Unprocessed initial clauses:
% 3.24/3.67
% 3.24/3.67 (20222) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.24/3.67 (20223) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.24/3.67 (20224) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 3.24/3.67 ( Y, Z, X ) }.
% 3.24/3.67 (20225) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 3.24/3.67 }.
% 3.24/3.67 (20226) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 3.24/3.67 }.
% 3.24/3.67 (20227) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 3.24/3.67 , para( X, Y, Z, T ) }.
% 3.24/3.67 (20228) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 3.24/3.67 }.
% 3.24/3.67 (20229) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 3.24/3.67 }.
% 3.24/3.67 (20230) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.24/3.67 , para( X, Y, Z, T ) }.
% 3.24/3.67 (20231) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.24/3.67 , perp( X, Y, Z, T ) }.
% 3.24/3.67 (20232) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.24/3.67 (20233) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 3.24/3.67 , circle( T, X, Y, Z ) }.
% 3.24/3.67 (20234) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 3.24/3.67 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 (20235) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 3.24/3.67 ) }.
% 3.24/3.67 (20236) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 3.24/3.67 ) }.
% 3.24/3.67 (20237) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 3.24/3.67 ) }.
% 3.24/3.67 (20238) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 3.24/3.67 T ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 (20239) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.24/3.67 (20240) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.24/3.67 (20241) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 (20242) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.24/3.67 (20243) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.24/3.67 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ) }.
% 3.24/3.67 (20244) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 3.24/3.67 }.
% 3.24/3.67 (20245) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 3.24/3.67 }.
% 3.24/3.67 (20246) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 3.24/3.67 , cong( X, Y, Z, T ) }.
% 3.24/3.67 (20247) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.24/3.67 (20248) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 3.24/3.67 (20249) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 (20250) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.24/3.67 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.24/3.67 (20251) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.24/3.67 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ) }.
% 3.24/3.67 (20252) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 3.24/3.67 , Z, T, U, W ) }.
% 3.24/3.67 (20253) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 3.24/3.67 , Z, T, U, W ) }.
% 3.24/3.67 (20254) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 3.24/3.67 , Z, T, U, W ) }.
% 3.24/3.67 (20255) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 3.24/3.67 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 3.24/3.67 (20256) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 3.24/3.67 , Z, T, U, W ) }.
% 3.24/3.67 (20257) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 3.24/3.67 , Z, T, U, W ) }.
% 3.24/3.67 (20258) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 3.24/3.67 , Z, T, U, W ) }.
% 3.24/3.67 (20259) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 3.24/3.67 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 3.24/3.67 (20260) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 3.24/3.67 X, Y, Z, T ) }.
% 3.24/3.67 (20261) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 3.24/3.67 Z, T, U, W ) }.
% 3.24/3.67 (20262) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 3.24/3.67 , T, X, T, Y ) }.
% 3.24/3.67 (20263) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 3.24/3.67 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 (20264) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 3.24/3.67 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 (20265) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 3.24/3.67 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.24/3.67 , Y, Z, T ) }.
% 3.24/3.67 (20266) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 3.24/3.67 ( Z, T, X, Y ) }.
% 3.24/3.67 (20267) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 3.24/3.67 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 3.24/3.67 (20268) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 3.24/3.67 X, Y, Z, Y ) }.
% 3.24/3.67 (20269) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 3.24/3.67 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 3.24/3.67 (20270) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 3.24/3.67 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 3.24/3.67 (20271) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 3.24/3.67 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 3.24/3.67 (20272) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 3.24/3.67 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 3.24/3.67 (20273) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 3.24/3.67 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 3.24/3.67 (20274) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 3.24/3.67 cong( X, Z, Y, Z ) }.
% 3.24/3.67 (20275) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 3.24/3.67 perp( X, Y, Y, Z ) }.
% 3.24/3.67 (20276) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.24/3.67 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 3.24/3.67 (20277) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 3.24/3.67 cong( Z, X, Z, Y ) }.
% 3.24/3.67 (20278) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 3.24/3.67 , perp( X, Y, Z, T ) }.
% 3.24/3.67 (20279) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 3.24/3.67 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.24/3.67 (20280) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 3.24/3.67 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 3.24/3.67 , W ) }.
% 3.24/3.67 (20281) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 3.24/3.67 , X, Z, T, U, T, W ) }.
% 3.24/3.67 (20282) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 3.24/3.67 , Y, Z, T, U, U, W ) }.
% 3.24/3.67 (20283) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 3.24/3.67 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 3.24/3.67 (20284) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 3.24/3.67 , T ) }.
% 3.24/3.67 (20285) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 3.24/3.67 ( X, Z, Y, T ) }.
% 3.24/3.67 (20286) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 3.24/3.67 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 3.24/3.67 (20287) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 3.24/3.67 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 3.24/3.67 (20288) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 3.24/3.67 (20289) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 3.24/3.67 midp( X, Y, Z ) }.
% 3.24/3.67 (20290) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.24/3.67 (20291) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.24/3.67 (20292) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 3.24/3.67 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 3.24/3.67 (20293) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 3.24/3.67 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.24/3.67 (20294) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 3.24/3.67 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 3.24/3.67 (20295) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.24/3.67 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.24/3.67 (20296) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.24/3.67 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.24/3.67 (20297) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 3.24/3.67 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 3.24/3.67 (20298) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.24/3.67 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 3.24/3.67 (20299) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.24/3.67 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 3.24/3.67 (20300) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.24/3.67 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 3.24/3.67 (20301) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.24/3.67 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 3.24/3.67 (20302) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.24/3.67 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 3.24/3.67 (20303) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.24/3.67 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 3.24/3.67 (20304) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.24/3.67 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 3.24/3.67 (20305) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.24/3.67 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 3.24/3.67 (20306) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.24/3.67 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 3.24/3.67 (20307) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.24/3.67 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 3.24/3.67 , T ) ) }.
% 3.24/3.67 (20308) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 3.24/3.67 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 3.24/3.67 (20309) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.24/3.67 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 3.24/3.67 (20310) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.24/3.67 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 3.24/3.67 (20311) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 3.24/3.67 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.24/3.67 (20312) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.24/3.67 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 3.24/3.67 ) }.
% 3.24/3.67 (20313) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.24/3.67 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 3.24/3.67 }.
% 3.24/3.67 (20314) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.24/3.67 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 3.24/3.67 (20315) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.24/3.67 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 3.24/3.67 (20316) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.24/3.67 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 3.24/3.67 (20317) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.24/3.67 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 3.24/3.67 (20318) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.24/3.67 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.24/3.67 (20319) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.24/3.67 , alpha1( X, Y, Z ) }.
% 3.24/3.67 (20320) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 3.24/3.67 ), Z, X ) }.
% 3.24/3.67 (20321) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 3.24/3.67 , Z ), Z, X ) }.
% 3.24/3.67 (20322) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 3.24/3.67 alpha1( X, Y, Z ) }.
% 3.24/3.67 (20323) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 3.24/3.67 ), X, X, Y ) }.
% 3.24/3.67 (20324) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.24/3.67 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 3.24/3.67 ) ) }.
% 3.24/3.67 (20325) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.24/3.67 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.24/3.67 (20326) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.24/3.67 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 3.24/3.67 }.
% 3.24/3.67 (20327) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.24/3.67 (20328) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 3.24/3.67 }.
% 3.24/3.67 (20329) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 3.24/3.67 alpha2( X, Y, Z, T ) }.
% 3.24/3.67 (20330) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.24/3.67 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 3.24/3.67 (20331) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 3.24/3.67 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 3.24/3.67 (20332) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.24/3.67 coll( skol16( W, Y, Z ), Y, Z ) }.
% 3.24/3.67 (20333) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.24/3.67 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.24/3.67 (20334) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 3.24/3.67 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 3.24/3.67 (20335) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.24/3.67 , coll( X, Y, skol18( X, Y ) ) }.
% 3.24/3.67 (20336) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.24/3.67 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 3.24/3.67 (20337) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.24/3.67 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 3.24/3.67 }.
% 3.24/3.67 (20338) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.24/3.67 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 3.24/3.67 }.
% 3.24/3.67 (20339) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol25, skol20, skol22 ) }.
% 3.24/3.67 (20340) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol22 ) }.
% 3.24/3.67 (20341) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol26 ) }.
% 3.24/3.67 (20342) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol26, skol28, skol29 ) }.
% 3.24/3.67 (20343) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 3.24/3.67 (20344) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol26, skol23, skol30 ) }.
% 3.24/3.67 (20345) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol22 ) }.
% 3.24/3.67 (20346) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol26, skol24, skol31 ) }.
% 3.24/3.67 (20347) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23, skol24 )
% 3.24/3.67 }.
% 3.24/3.67
% 3.24/3.67
% 3.24/3.67 Total Proof:
% 3.24/3.67
% 3.24/3.67 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 parent0: (20222) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 parent0: (20223) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 3.24/3.67 Z ), coll( Y, Z, X ) }.
% 3.24/3.67 parent0: (20224) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.24/3.67 ), coll( Y, Z, X ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 3.24/3.67 , X, Y ) }.
% 3.24/3.67 parent0: (20226) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 3.24/3.67 X, Y ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 3.24/3.67 W, Z, T ), para( X, Y, Z, T ) }.
% 3.24/3.67 parent0: (20227) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 3.24/3.67 , Z, T ), para( X, Y, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 3.24/3.67 ) }.
% 3.24/3.67 parent0: (20232) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.24/3.67 X, Y, T, Z ) }.
% 3.24/3.67 parent0: (20235) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Y, T, Z ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.24/3.67 X, Z, Y, T ) }.
% 3.24/3.67 parent0: (20236) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.24/3.67 Y, X, Z, T ) }.
% 3.24/3.67 parent0: (20237) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.24/3.67 , X, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.24/3.67 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 parent0: (20238) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 3.24/3.67 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.24/3.67 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.24/3.67 parent0: (20239) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 V0 := V0
% 3.24/3.67 V1 := V1
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.24/3.67 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 parent0: (20241) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 V0 := V0
% 3.24/3.67 V1 := V1
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.24/3.67 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.24/3.67 parent0: (20242) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 V0 := V0
% 3.24/3.67 V1 := V1
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.24/3.67 , Y, U, W, Z, T, U, W ) }.
% 3.24/3.67 parent0: (20261) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 3.24/3.67 Y, U, W, Z, T, U, W ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 3.24/3.67 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 parent0: (20264) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.24/3.67 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 3.24/3.67 , T ), para( X, Z, Y, T ) }.
% 3.24/3.67 parent0: (20285) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 3.24/3.67 ), para( X, Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 3.24/3.67 ) }.
% 3.24/3.67 parent0: (20291) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.24/3.67 , V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.24/3.67 parent0: (20295) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 V0 := V0
% 3.24/3.67 V1 := V1
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 3.24/3.67 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.24/3.67 ) }.
% 3.24/3.67 parent0: (20311) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 3.24/3.67 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 V0 := V0
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 3 ==> 3
% 3.24/3.67 4 ==> 4
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol25, skol26 )
% 3.24/3.67 }.
% 3.24/3.67 parent0: (20341) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol26 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (124) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23
% 3.24/3.67 , skol24 ) }.
% 3.24/3.67 parent0: (20347) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23,
% 3.24/3.67 skol24 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 factor: (20653) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 3.24/3.67 Z, T ), para( X, Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := Y
% 3.24/3.67 T := Z
% 3.24/3.67 U := X
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (140) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 3.24/3.67 Y, Z, Z ) }.
% 3.24/3.67 parent0: (20653) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 3.24/3.67 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 factor: (20654) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.24/3.67 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.24/3.67 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 3.24/3.67 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.24/3.67 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := X
% 3.24/3.67 T := Y
% 3.24/3.67 U := Z
% 3.24/3.67 W := X
% 3.24/3.67 V0 := T
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 3.24/3.67 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.24/3.67 parent0: (20654) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.24/3.67 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 3 ==> 3
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20657) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := Y
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 3.24/3.67 , Z, X ) }.
% 3.24/3.67 parent0: (20657) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20659) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 3.24/3.67 , Z, X ) }.
% 3.24/3.67 parent0: (20659) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20663) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 3.24/3.67 X ), ! coll( Z, T, Y ) }.
% 3.24/3.67 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.24/3.67 ), coll( Y, Z, X ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Z
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Y
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (196) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 3.24/3.67 ( X, Y, T ), coll( Z, X, T ) }.
% 3.24/3.67 parent0: (20663) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 3.24/3.67 , ! coll( Z, T, Y ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Z
% 3.24/3.67 Y := T
% 3.24/3.67 Z := X
% 3.24/3.67 T := Y
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 2
% 3.24/3.67 1 ==> 0
% 3.24/3.67 2 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 factor: (20665) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 parent0[0, 1]: (196) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 3.24/3.67 coll( X, Y, T ), coll( Z, X, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (203) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z
% 3.24/3.67 , X, Z ) }.
% 3.24/3.67 parent0: (20665) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20666) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 3.24/3.67 X ), ! coll( Z, T, Y ) }.
% 3.24/3.67 parent0[0]: (203) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z,
% 3.24/3.67 X, Z ) }.
% 3.24/3.67 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.24/3.67 ), coll( Y, Z, X ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Z
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Y
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (236) {G3,W12,D2,L3,V4,M3} R(203,2) { coll( X, Y, X ), ! coll
% 3.24/3.67 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.24/3.67 parent0: (20666) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 3.24/3.67 , ! coll( Z, T, Y ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := X
% 3.24/3.67 T := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20668) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0]: (203) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z,
% 3.24/3.67 X, Z ) }.
% 3.24/3.67 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (242) {G3,W8,D2,L2,V3,M2} R(203,1) { coll( X, Y, X ), ! coll(
% 3.24/3.67 Z, Y, X ) }.
% 3.24/3.67 parent0: (20668) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := X
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 factor: (20669) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 parent0[1, 2]: (236) {G3,W12,D2,L3,V4,M3} R(203,2) { coll( X, Y, X ), !
% 3.24/3.67 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := Y
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (251) {G4,W8,D2,L2,V3,M2} F(236) { coll( X, Y, X ), ! coll( X
% 3.24/3.67 , Z, Y ) }.
% 3.24/3.67 parent0: (20669) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20670) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 3.24/3.67 Y, U, W ), ! para( Z, T, X, Y ) }.
% 3.24/3.67 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 3.24/3.67 , Z, T ), para( X, Y, Z, T ) }.
% 3.24/3.67 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 3.24/3.67 X, Y ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := U
% 3.24/3.67 T := W
% 3.24/3.67 U := Z
% 3.24/3.67 W := T
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Z
% 3.24/3.67 Y := T
% 3.24/3.67 Z := X
% 3.24/3.67 T := Y
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (253) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 3.24/3.67 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 3.24/3.67 parent0: (20670) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 3.24/3.67 U, W ), ! para( Z, T, X, Y ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := U
% 3.24/3.67 Y := W
% 3.24/3.67 Z := X
% 3.24/3.67 T := Y
% 3.24/3.67 U := Z
% 3.24/3.67 W := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20675) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X,
% 3.24/3.67 Y, U, W ), ! para( U, W, Z, T ) }.
% 3.24/3.67 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 3.24/3.67 , Z, T ), para( X, Y, Z, T ) }.
% 3.24/3.67 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 3.24/3.67 X, Y ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := U
% 3.24/3.67 T := W
% 3.24/3.67 U := Z
% 3.24/3.67 W := T
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := U
% 3.24/3.67 Y := W
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (254) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 3.24/3.67 ( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 3.24/3.67 parent0: (20675) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X, Y,
% 3.24/3.67 U, W ), ! para( U, W, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 factor: (20678) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, X
% 3.24/3.67 , Y ) }.
% 3.24/3.67 parent0[0, 2]: (254) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 3.24/3.67 para( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := X
% 3.24/3.67 W := Y
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (258) {G2,W10,D2,L2,V4,M2} F(254) { ! para( X, Y, Z, T ), para
% 3.24/3.67 ( X, Y, X, Y ) }.
% 3.24/3.67 parent0: (20678) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 3.24/3.67 X, Y ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 factor: (20679) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 3.24/3.67 , T ) }.
% 3.24/3.67 parent0[0, 2]: (253) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 3.24/3.67 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := Z
% 3.24/3.67 W := T
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (259) {G2,W10,D2,L2,V4,M2} F(253) { ! para( X, Y, Z, T ), para
% 3.24/3.67 ( Z, T, Z, T ) }.
% 3.24/3.67 parent0: (20679) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 3.24/3.67 Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20680) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol26, skol25 )
% 3.24/3.67 }.
% 3.24/3.67 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.24/3.67 }.
% 3.24/3.67 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol25, skol26 )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := skol26
% 3.24/3.67 Y := skol25
% 3.24/3.67 Z := skol27
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (323) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol27, skol26,
% 3.24/3.67 skol25 ) }.
% 3.24/3.67 parent0: (20680) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol26, skol25 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20682) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 3.24/3.67 ( X, Z, Y, T ) }.
% 3.24/3.67 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Y, T, Z ) }.
% 3.24/3.67 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := Y
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (354) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.24/3.67 cyclic( X, Z, T, Y ) }.
% 3.24/3.67 parent0: (20682) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := Y
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20684) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 3.24/3.67 ( Y, X, Z, T ) }.
% 3.24/3.67 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.24/3.67 , X, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (365) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.24/3.67 cyclic( Y, Z, X, T ) }.
% 3.24/3.67 parent0: (20684) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 3.24/3.67 , X, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20685) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23
% 3.24/3.67 , skol24 ) }.
% 3.24/3.67 parent0[0]: (124) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23
% 3.24/3.67 , skol24 ) }.
% 3.24/3.67 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.24/3.67 , X, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol22
% 3.24/3.67 Y := skol20
% 3.24/3.67 Z := skol23
% 3.24/3.67 T := skol24
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (368) {G1,W5,D2,L1,V0,M1} R(15,124) { ! cyclic( skol22, skol20
% 3.24/3.67 , skol23, skol24 ) }.
% 3.24/3.67 parent0: (20685) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23,
% 3.24/3.67 skol24 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20687) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 3.24/3.67 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.24/3.67 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.24/3.67 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Y, T, Z ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := T
% 3.24/3.67 T := U
% 3.24/3.67 U := X
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := U
% 3.24/3.67 T := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (391) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.24/3.67 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.24/3.67 parent0: (20687) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.24/3.67 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 2 ==> 2
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20690) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 3.24/3.67 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.24/3.67 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 V0 := V0
% 3.24/3.67 V1 := V1
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := U
% 3.24/3.67 Y := W
% 3.24/3.67 Z := V0
% 3.24/3.67 T := V1
% 3.24/3.67 U := X
% 3.24/3.67 W := Y
% 3.24/3.67 V0 := Z
% 3.24/3.67 V1 := T
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (427) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 3.24/3.67 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 parent0: (20690) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 3.24/3.67 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := U
% 3.24/3.67 Y := W
% 3.24/3.67 Z := V0
% 3.24/3.67 T := V1
% 3.24/3.67 U := X
% 3.24/3.67 W := Y
% 3.24/3.67 V0 := Z
% 3.24/3.67 V1 := T
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20691) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 3.24/3.67 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.24/3.67 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.24/3.67 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.67 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 V0 := V0
% 3.24/3.67 V1 := V1
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 T := T
% 3.24/3.67 U := U
% 3.24/3.67 W := W
% 3.24/3.67 V0 := V0
% 3.24/3.67 V1 := V1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (437) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 3.24/3.67 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.24/3.67 parent0: (20691) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 3.24/3.67 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := U
% 3.24/3.67 T := W
% 3.24/3.67 U := Z
% 3.24/3.67 W := T
% 3.24/3.67 V0 := V0
% 3.24/3.67 V1 := V1
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20692) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol20
% 3.24/3.67 , skol24 ) }.
% 3.24/3.67 parent0[0]: (368) {G1,W5,D2,L1,V0,M1} R(15,124) { ! cyclic( skol22, skol20
% 3.24/3.67 , skol23, skol24 ) }.
% 3.24/3.67 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol22
% 3.24/3.67 Y := skol23
% 3.24/3.67 Z := skol20
% 3.24/3.67 T := skol24
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (441) {G2,W5,D2,L1,V0,M1} R(368,14) { ! cyclic( skol22, skol23
% 3.24/3.67 , skol20, skol24 ) }.
% 3.24/3.67 parent0: (20692) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol20,
% 3.24/3.67 skol24 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20693) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol20
% 3.24/3.67 , skol24 ) }.
% 3.24/3.67 parent0[0]: (441) {G2,W5,D2,L1,V0,M1} R(368,14) { ! cyclic( skol22, skol23
% 3.24/3.67 , skol20, skol24 ) }.
% 3.24/3.67 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.24/3.67 , X, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol23
% 3.24/3.67 Y := skol22
% 3.24/3.67 Z := skol20
% 3.24/3.67 T := skol24
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (445) {G3,W5,D2,L1,V0,M1} R(441,15) { ! cyclic( skol23, skol22
% 3.24/3.67 , skol20, skol24 ) }.
% 3.24/3.67 parent0: (20693) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol20,
% 3.24/3.67 skol24 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20694) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol22
% 3.24/3.67 , skol24 ) }.
% 3.24/3.67 parent0[0]: (445) {G3,W5,D2,L1,V0,M1} R(441,15) { ! cyclic( skol23, skol22
% 3.24/3.67 , skol20, skol24 ) }.
% 3.24/3.67 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol23
% 3.24/3.67 Y := skol20
% 3.24/3.67 Z := skol22
% 3.24/3.67 T := skol24
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (448) {G4,W5,D2,L1,V0,M1} R(445,14) { ! cyclic( skol23, skol20
% 3.24/3.67 , skol22, skol24 ) }.
% 3.24/3.67 parent0: (20694) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol22,
% 3.24/3.67 skol24 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20695) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24
% 3.24/3.67 , skol22 ) }.
% 3.24/3.67 parent0[0]: (448) {G4,W5,D2,L1,V0,M1} R(445,14) { ! cyclic( skol23, skol20
% 3.24/3.67 , skol22, skol24 ) }.
% 3.24/3.67 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Y, T, Z ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol23
% 3.24/3.67 Y := skol20
% 3.24/3.67 Z := skol24
% 3.24/3.67 T := skol22
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (464) {G5,W5,D2,L1,V0,M1} R(448,13) { ! cyclic( skol23, skol20
% 3.24/3.67 , skol24, skol22 ) }.
% 3.24/3.67 parent0: (20695) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20696) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24
% 3.24/3.67 , skol22 ) }.
% 3.24/3.67 parent0[0]: (464) {G5,W5,D2,L1,V0,M1} R(448,13) { ! cyclic( skol23, skol20
% 3.24/3.67 , skol24, skol22 ) }.
% 3.24/3.67 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.24/3.67 , X, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol20
% 3.24/3.67 Y := skol23
% 3.24/3.67 Z := skol24
% 3.24/3.67 T := skol22
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (465) {G6,W5,D2,L1,V0,M1} R(464,15) { ! cyclic( skol20, skol23
% 3.24/3.67 , skol24, skol22 ) }.
% 3.24/3.67 parent0: (20696) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20697) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol23
% 3.24/3.67 , skol22 ) }.
% 3.24/3.67 parent0[0]: (465) {G6,W5,D2,L1,V0,M1} R(464,15) { ! cyclic( skol20, skol23
% 3.24/3.67 , skol24, skol22 ) }.
% 3.24/3.67 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol20
% 3.24/3.67 Y := skol24
% 3.24/3.67 Z := skol23
% 3.24/3.67 T := skol22
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (468) {G7,W5,D2,L1,V0,M1} R(465,14) { ! cyclic( skol20, skol24
% 3.24/3.67 , skol23, skol22 ) }.
% 3.24/3.67 parent0: (20697) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol23,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20698) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol23
% 3.24/3.67 , skol22 ) }.
% 3.24/3.67 parent0[0]: (468) {G7,W5,D2,L1,V0,M1} R(465,14) { ! cyclic( skol20, skol24
% 3.24/3.67 , skol23, skol22 ) }.
% 3.24/3.67 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.24/3.67 , X, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol24
% 3.24/3.67 Y := skol20
% 3.24/3.67 Z := skol23
% 3.24/3.67 T := skol22
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (470) {G8,W5,D2,L1,V0,M1} R(468,15) { ! cyclic( skol24, skol20
% 3.24/3.67 , skol23, skol22 ) }.
% 3.24/3.67 parent0: (20698) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol23,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20699) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20
% 3.24/3.67 , skol22 ) }.
% 3.24/3.67 parent0[0]: (470) {G8,W5,D2,L1,V0,M1} R(468,15) { ! cyclic( skol24, skol20
% 3.24/3.67 , skol23, skol22 ) }.
% 3.24/3.67 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol24
% 3.24/3.67 Y := skol23
% 3.24/3.67 Z := skol20
% 3.24/3.67 T := skol22
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (481) {G9,W5,D2,L1,V0,M1} R(470,14) { ! cyclic( skol24, skol23
% 3.24/3.67 , skol20, skol22 ) }.
% 3.24/3.67 parent0: (20699) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20,
% 3.24/3.67 skol22 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20700) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol22
% 3.24/3.67 , skol20 ) }.
% 3.24/3.67 parent0[0]: (481) {G9,W5,D2,L1,V0,M1} R(470,14) { ! cyclic( skol24, skol23
% 3.24/3.67 , skol20, skol22 ) }.
% 3.24/3.67 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Y, T, Z ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol24
% 3.24/3.67 Y := skol23
% 3.24/3.67 Z := skol22
% 3.24/3.67 T := skol20
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (485) {G10,W5,D2,L1,V0,M1} R(481,13) { ! cyclic( skol24,
% 3.24/3.67 skol23, skol22, skol20 ) }.
% 3.24/3.67 parent0: (20700) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol22,
% 3.24/3.67 skol20 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20701) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22, skol23
% 3.24/3.67 , skol20 ) }.
% 3.24/3.67 parent0[0]: (485) {G10,W5,D2,L1,V0,M1} R(481,13) { ! cyclic( skol24, skol23
% 3.24/3.67 , skol22, skol20 ) }.
% 3.24/3.67 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.24/3.67 , Z, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol24
% 3.24/3.67 Y := skol22
% 3.24/3.67 Z := skol23
% 3.24/3.67 T := skol20
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (487) {G11,W5,D2,L1,V0,M1} R(485,14) { ! cyclic( skol24,
% 3.24/3.67 skol22, skol23, skol20 ) }.
% 3.24/3.67 parent0: (20701) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22, skol23,
% 3.24/3.67 skol20 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20702) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol23
% 3.24/3.67 , skol20 ) }.
% 3.24/3.67 parent0[0]: (487) {G11,W5,D2,L1,V0,M1} R(485,14) { ! cyclic( skol24, skol22
% 3.24/3.67 , skol23, skol20 ) }.
% 3.24/3.67 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.24/3.67 , X, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol22
% 3.24/3.67 Y := skol24
% 3.24/3.67 Z := skol23
% 3.24/3.67 T := skol20
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (500) {G12,W5,D2,L1,V0,M1} R(487,15) { ! cyclic( skol22,
% 3.24/3.67 skol24, skol23, skol20 ) }.
% 3.24/3.67 parent0: (20702) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol23,
% 3.24/3.67 skol20 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20703) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol24,
% 3.24/3.67 skol23 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.24/3.67 parent0[0]: (500) {G12,W5,D2,L1,V0,M1} R(487,15) { ! cyclic( skol22, skol24
% 3.24/3.67 , skol23, skol20 ) }.
% 3.24/3.67 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.24/3.67 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := skol22
% 3.24/3.67 Y := skol24
% 3.24/3.67 Z := skol23
% 3.24/3.67 T := skol20
% 3.24/3.67 U := X
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (502) {G13,W10,D2,L2,V1,M2} R(500,16) { ! cyclic( X, skol22,
% 3.24/3.67 skol24, skol23 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.24/3.67 parent0: (20703) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol24,
% 3.24/3.67 skol23 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20705) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 parent1[0]: (251) {G4,W8,D2,L2,V3,M2} F(236) { coll( X, Y, X ), ! coll( X,
% 3.24/3.67 Z, Y ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := X
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (557) {G5,W8,D2,L2,V3,M2} R(251,1) { ! coll( X, Y, Z ), coll(
% 3.24/3.67 Z, X, X ) }.
% 3.24/3.67 parent0: (20705) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := Y
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20706) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0]: (557) {G5,W8,D2,L2,V3,M2} R(251,1) { ! coll( X, Y, Z ), coll( Z
% 3.24/3.67 , X, X ) }.
% 3.24/3.67 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (562) {G6,W8,D2,L2,V3,M2} R(557,1) { coll( X, Y, Y ), ! coll(
% 3.24/3.67 Z, Y, X ) }.
% 3.24/3.67 parent0: (20706) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := X
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20707) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0]: (557) {G5,W8,D2,L2,V3,M2} R(251,1) { ! coll( X, Y, Z ), coll( Z
% 3.24/3.67 , X, X ) }.
% 3.24/3.67 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := Y
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (563) {G6,W8,D2,L2,V3,M2} R(557,0) { coll( X, Y, Y ), ! coll(
% 3.24/3.67 Y, X, Z ) }.
% 3.24/3.67 parent0: (20707) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := X
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20709) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0]: (557) {G5,W8,D2,L2,V3,M2} R(251,1) { ! coll( X, Y, Z ), coll( Z
% 3.24/3.67 , X, X ) }.
% 3.24/3.67 parent1[0]: (562) {G6,W8,D2,L2,V3,M2} R(557,1) { coll( X, Y, Y ), ! coll( Z
% 3.24/3.67 , Y, X ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Y
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (576) {G7,W8,D2,L2,V3,M2} R(562,557) { ! coll( X, Y, Z ), coll
% 3.24/3.67 ( Y, Z, Z ) }.
% 3.24/3.67 parent0: (20709) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Z
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := X
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20710) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[1]: (563) {G6,W8,D2,L2,V3,M2} R(557,0) { coll( X, Y, Y ), ! coll( Y
% 3.24/3.67 , X, Z ) }.
% 3.24/3.67 parent1[0]: (563) {G6,W8,D2,L2,V3,M2} R(557,0) { coll( X, Y, Y ), ! coll( Y
% 3.24/3.67 , X, Z ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := X
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (579) {G7,W8,D2,L2,V3,M2} R(563,563) { ! coll( X, Y, Z ), coll
% 3.24/3.67 ( X, Y, Y ) }.
% 3.24/3.67 parent0: (20710) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20714) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 3.24/3.67 X ), ! coll( X, Y, T ) }.
% 3.24/3.67 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.24/3.67 ), coll( Y, Z, X ) }.
% 3.24/3.67 parent1[1]: (579) {G7,W8,D2,L2,V3,M2} R(563,563) { ! coll( X, Y, Z ), coll
% 3.24/3.67 ( X, Y, Y ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := Y
% 3.24/3.67 T := Y
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := T
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (582) {G8,W12,D2,L3,V4,M3} R(579,2) { ! coll( X, Y, Z ), !
% 3.24/3.67 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.24/3.67 parent0: (20714) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.24/3.67 , ! coll( X, Y, T ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := T
% 3.24/3.67 T := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 2
% 3.24/3.67 2 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 factor: (20717) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.24/3.67 }.
% 3.24/3.67 parent0[0, 1]: (582) {G8,W12,D2,L3,V4,M3} R(579,2) { ! coll( X, Y, Z ), !
% 3.24/3.67 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 T := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (583) {G9,W8,D2,L2,V3,M2} F(582) { ! coll( X, Y, Z ), coll( Z
% 3.24/3.67 , Y, X ) }.
% 3.24/3.67 parent0: (20717) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20718) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0]: (583) {G9,W8,D2,L2,V3,M2} F(582) { ! coll( X, Y, Z ), coll( Z,
% 3.24/3.67 Y, X ) }.
% 3.24/3.67 parent1[1]: (576) {G7,W8,D2,L2,V3,M2} R(562,557) { ! coll( X, Y, Z ), coll
% 3.24/3.67 ( Y, Z, Z ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Y
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Z
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Y
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (586) {G10,W8,D2,L2,V3,M2} R(583,576) { coll( X, X, Y ), !
% 3.24/3.67 coll( Z, Y, X ) }.
% 3.24/3.67 parent0: (20718) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20719) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[0]: (583) {G9,W8,D2,L2,V3,M2} F(582) { ! coll( X, Y, Z ), coll( Z,
% 3.24/3.67 Y, X ) }.
% 3.24/3.67 parent1[0]: (562) {G6,W8,D2,L2,V3,M2} R(557,1) { coll( X, Y, Y ), ! coll( Z
% 3.24/3.67 , Y, X ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Y
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (587) {G10,W8,D2,L2,V3,M2} R(583,562) { coll( X, X, Y ), !
% 3.24/3.67 coll( Z, X, Y ) }.
% 3.24/3.67 parent0: (20719) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 0
% 3.24/3.67 1 ==> 1
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20720) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[1]: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 3.24/3.67 Z, X ) }.
% 3.24/3.67 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := X
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (628) {G2,W8,D2,L2,V3,M2} R(69,168) { ! midp( X, Y, Z ), coll
% 3.24/3.67 ( Z, X, Y ) }.
% 3.24/3.67 parent0: (20720) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Z
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Y
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20721) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 3.24/3.67 ) }.
% 3.24/3.67 parent0[1]: (587) {G10,W8,D2,L2,V3,M2} R(583,562) { coll( X, X, Y ), ! coll
% 3.24/3.67 ( Z, X, Y ) }.
% 3.24/3.67 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := X
% 3.24/3.67 Y := Y
% 3.24/3.67 Z := Z
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.67 X := Z
% 3.24/3.67 Y := X
% 3.24/3.67 Z := Y
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 subsumption: (635) {G11,W8,D2,L2,V3,M2} R(69,587) { ! midp( X, Y, Z ), coll
% 3.24/3.67 ( Y, Y, Z ) }.
% 3.24/3.67 parent0: (20721) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 3.24/3.67 }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := Y
% 3.24/3.67 Y := Z
% 3.24/3.67 Z := X
% 3.24/3.67 end
% 3.24/3.67 permutation0:
% 3.24/3.67 0 ==> 1
% 3.24/3.67 1 ==> 0
% 3.24/3.67 end
% 3.24/3.67
% 3.24/3.67 resolution: (20722) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol25 )
% 3.24/3.67 }.
% 3.24/3.67 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.24/3.67 }.
% 3.24/3.67 parent1[0]: (323) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol27, skol26,
% 3.24/3.67 skol25 ) }.
% 3.24/3.67 substitution0:
% 3.24/3.67 X := skol27
% 3.24/3.67 Y := skol26
% 3.24/3.67 Z := skol25
% 3.24/3.67 end
% 3.24/3.67 substitution1:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (649) {G2,W4,D2,L1,V0,M1} R(69,323) { coll( skol27, skol26,
% 3.24/3.68 skol25 ) }.
% 3.24/3.68 parent0: (20722) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20723) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 3.24/3.68 ) }.
% 3.24/3.68 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.24/3.68 }.
% 3.24/3.68 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (654) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.24/3.68 , X, Z ) }.
% 3.24/3.68 parent0: (20723) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 1
% 3.24/3.68 1 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20724) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol26 )
% 3.24/3.68 }.
% 3.24/3.68 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.24/3.68 }.
% 3.24/3.68 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol25, skol26 )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol27
% 3.24/3.68 Y := skol25
% 3.24/3.68 Z := skol26
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (655) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol27, skol25,
% 3.24/3.68 skol26 ) }.
% 3.24/3.68 parent0: (20724) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol26 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20725) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 )
% 3.24/3.68 }.
% 3.24/3.68 parent0[1]: (242) {G3,W8,D2,L2,V3,M2} R(203,1) { coll( X, Y, X ), ! coll( Z
% 3.24/3.68 , Y, X ) }.
% 3.24/3.68 parent1[0]: (649) {G2,W4,D2,L1,V0,M1} R(69,323) { coll( skol27, skol26,
% 3.24/3.68 skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol25
% 3.24/3.68 Y := skol26
% 3.24/3.68 Z := skol27
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (660) {G4,W4,D2,L1,V0,M1} R(649,242) { coll( skol25, skol26,
% 3.24/3.68 skol25 ) }.
% 3.24/3.68 parent0: (20725) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20726) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 )
% 3.24/3.68 }.
% 3.24/3.68 parent0[1]: (586) {G10,W8,D2,L2,V3,M2} R(583,576) { coll( X, X, Y ), ! coll
% 3.24/3.68 ( Z, Y, X ) }.
% 3.24/3.68 parent1[0]: (649) {G2,W4,D2,L1,V0,M1} R(69,323) { coll( skol27, skol26,
% 3.24/3.68 skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol25
% 3.24/3.68 Y := skol26
% 3.24/3.68 Z := skol27
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (665) {G11,W4,D2,L1,V0,M1} R(649,586) { coll( skol25, skol25,
% 3.24/3.68 skol26 ) }.
% 3.24/3.68 parent0: (20726) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20727) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol25, X ),
% 3.24/3.68 coll( skol26, X, skol27 ) }.
% 3.24/3.68 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.24/3.68 ), coll( Y, Z, X ) }.
% 3.24/3.68 parent1[0]: (655) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol27, skol25,
% 3.24/3.68 skol26 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol27
% 3.24/3.68 Y := skol26
% 3.24/3.68 Z := X
% 3.24/3.68 T := skol25
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (741) {G2,W8,D2,L2,V1,M2} R(655,2) { ! coll( skol27, skol25, X
% 3.24/3.68 ), coll( skol26, X, skol27 ) }.
% 3.24/3.68 parent0: (20727) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol25, X ), coll(
% 3.24/3.68 skol26, X, skol27 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 1 ==> 1
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20729) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 3.24/3.68 , X, X ), ! para( X, Y, X, Y ) }.
% 3.24/3.68 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.24/3.68 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.24/3.68 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.24/3.68 , Y, U, W, Z, T, U, W ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := Y
% 3.24/3.68 Y := Z
% 3.24/3.68 Z := X
% 3.24/3.68 T := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := X
% 3.24/3.68 T := Y
% 3.24/3.68 U := X
% 3.24/3.68 W := Z
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (806) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 3.24/3.68 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.24/3.68 parent0: (20729) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 3.24/3.68 , X ), ! para( X, Y, X, Y ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Z
% 3.24/3.68 Z := Y
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 1 ==> 1
% 3.24/3.68 2 ==> 2
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20730) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol27 ), !
% 3.24/3.68 coll( X, skol27, skol25 ) }.
% 3.24/3.68 parent0[0]: (741) {G2,W8,D2,L2,V1,M2} R(655,2) { ! coll( skol27, skol25, X
% 3.24/3.68 ), coll( skol26, X, skol27 ) }.
% 3.24/3.68 parent1[1]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.24/3.68 Z, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := skol27
% 3.24/3.68 Z := skol25
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (1152) {G3,W8,D2,L2,V1,M2} R(741,169) { coll( skol26, X,
% 3.24/3.68 skol27 ), ! coll( X, skol27, skol25 ) }.
% 3.24/3.68 parent0: (20730) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol27 ), ! coll(
% 3.24/3.68 X, skol27, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 1 ==> 1
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20732) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol26 ), !
% 3.24/3.68 coll( X, skol27, skol25 ) }.
% 3.24/3.68 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.24/3.68 Z, X ) }.
% 3.24/3.68 parent1[0]: (1152) {G3,W8,D2,L2,V1,M2} R(741,169) { coll( skol26, X, skol27
% 3.24/3.68 ), ! coll( X, skol27, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol26
% 3.24/3.68 Y := X
% 3.24/3.68 Z := skol27
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (1961) {G4,W8,D2,L2,V1,M2} R(1152,169) { ! coll( X, skol27,
% 3.24/3.68 skol25 ), coll( X, skol27, skol26 ) }.
% 3.24/3.68 parent0: (20732) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol26 ), ! coll(
% 3.24/3.68 X, skol27, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 1
% 3.24/3.68 1 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20735) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol27, Y ), coll(
% 3.24/3.68 skol26, Y, X ), ! coll( X, skol27, skol25 ) }.
% 3.24/3.68 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.24/3.68 ), coll( Y, Z, X ) }.
% 3.24/3.68 parent1[1]: (1961) {G4,W8,D2,L2,V1,M2} R(1152,169) { ! coll( X, skol27,
% 3.24/3.68 skol25 ), coll( X, skol27, skol26 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := skol26
% 3.24/3.68 Z := Y
% 3.24/3.68 T := skol27
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (2019) {G5,W12,D2,L3,V2,M3} R(1961,2) { ! coll( X, skol27,
% 3.24/3.68 skol25 ), ! coll( X, skol27, Y ), coll( skol26, Y, X ) }.
% 3.24/3.68 parent0: (20735) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol27, Y ), coll(
% 3.24/3.68 skol26, Y, X ), ! coll( X, skol27, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 1
% 3.24/3.68 1 ==> 2
% 3.24/3.68 2 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 factor: (20739) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol27, skol25 ), coll(
% 3.24/3.68 skol26, skol25, X ) }.
% 3.24/3.68 parent0[0, 1]: (2019) {G5,W12,D2,L3,V2,M3} R(1961,2) { ! coll( X, skol27,
% 3.24/3.68 skol25 ), ! coll( X, skol27, Y ), coll( skol26, Y, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := skol25
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (2024) {G6,W8,D2,L2,V1,M2} F(2019) { ! coll( X, skol27, skol25
% 3.24/3.68 ), coll( skol26, skol25, X ) }.
% 3.24/3.68 parent0: (20739) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol27, skol25 ), coll(
% 3.24/3.68 skol26, skol25, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 1 ==> 1
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20740) {G2,W8,D2,L2,V1,M2} { coll( skol26, skol25, X ), !
% 3.24/3.68 midp( skol27, X, skol25 ) }.
% 3.24/3.68 parent0[0]: (2024) {G6,W8,D2,L2,V1,M2} F(2019) { ! coll( X, skol27, skol25
% 3.24/3.68 ), coll( skol26, skol25, X ) }.
% 3.24/3.68 parent1[1]: (654) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.24/3.68 , X, Z ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := skol27
% 3.24/3.68 Y := X
% 3.24/3.68 Z := skol25
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (2941) {G7,W8,D2,L2,V1,M2} R(2024,654) { coll( skol26, skol25
% 3.24/3.68 , X ), ! midp( skol27, X, skol25 ) }.
% 3.24/3.68 parent0: (20740) {G2,W8,D2,L2,V1,M2} { coll( skol26, skol25, X ), ! midp(
% 3.24/3.68 skol27, X, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 1 ==> 1
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20741) {G3,W8,D2,L2,V1,M2} { coll( skol26, skol25, X ), !
% 3.24/3.68 midp( skol27, skol25, X ) }.
% 3.24/3.68 parent0[0]: (2024) {G6,W8,D2,L2,V1,M2} F(2019) { ! coll( X, skol27, skol25
% 3.24/3.68 ), coll( skol26, skol25, X ) }.
% 3.24/3.68 parent1[1]: (628) {G2,W8,D2,L2,V3,M2} R(69,168) { ! midp( X, Y, Z ), coll(
% 3.24/3.68 Z, X, Y ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := skol27
% 3.24/3.68 Y := skol25
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (2944) {G7,W8,D2,L2,V1,M2} R(2024,628) { coll( skol26, skol25
% 3.24/3.68 , X ), ! midp( skol27, skol25, X ) }.
% 3.24/3.68 parent0: (20741) {G3,W8,D2,L2,V1,M2} { coll( skol26, skol25, X ), ! midp(
% 3.24/3.68 skol27, skol25, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 1 ==> 1
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20742) {G1,W8,D2,L2,V1,M2} { coll( skol26, X, skol25 ), !
% 3.24/3.68 midp( skol27, X, skol25 ) }.
% 3.24/3.68 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.24/3.68 }.
% 3.24/3.68 parent1[0]: (2941) {G7,W8,D2,L2,V1,M2} R(2024,654) { coll( skol26, skol25,
% 3.24/3.68 X ), ! midp( skol27, X, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol26
% 3.24/3.68 Y := skol25
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (3000) {G8,W8,D2,L2,V1,M2} R(2941,0) { ! midp( skol27, X,
% 3.24/3.68 skol25 ), coll( skol26, X, skol25 ) }.
% 3.24/3.68 parent0: (20742) {G1,W8,D2,L2,V1,M2} { coll( skol26, X, skol25 ), ! midp(
% 3.24/3.68 skol27, X, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 1
% 3.24/3.68 1 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20743) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 ), !
% 3.24/3.68 coll( skol25, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 3.24/3.68 midp( skol27, skol25, skol26 ) }.
% 3.24/3.68 parent0[2]: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.24/3.68 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.24/3.68 parent1[0]: (2944) {G7,W8,D2,L2,V1,M2} R(2024,628) { coll( skol26, skol25,
% 3.24/3.68 X ), ! midp( skol27, skol25, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := skol25
% 3.24/3.68 Z := skol26
% 3.24/3.68 T := Y
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := skol26
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20746) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol26 ),
% 3.24/3.68 midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27, skol25, skol26 )
% 3.24/3.68 }.
% 3.24/3.68 parent0[1]: (20743) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 ), !
% 3.24/3.68 coll( skol25, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 3.24/3.68 midp( skol27, skol25, skol26 ) }.
% 3.24/3.68 parent1[0]: (665) {G11,W4,D2,L1,V0,M1} R(649,586) { coll( skol25, skol25,
% 3.24/3.68 skol26 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (7780) {G12,W14,D3,L3,V2,M3} R(147,2944);r(665) { ! midp( X,
% 3.24/3.68 skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27,
% 3.24/3.68 skol25, skol26 ) }.
% 3.24/3.68 parent0: (20746) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol26 ), midp
% 3.24/3.68 ( skol7( skol25, Y ), skol25, Y ), ! midp( skol27, skol25, skol26 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 1 ==> 1
% 3.24/3.68 2 ==> 2
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20748) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 3.24/3.68 coll( skol25, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.24/3.68 midp( skol27, skol26, skol25 ) }.
% 3.24/3.68 parent0[1]: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.24/3.68 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.24/3.68 parent1[1]: (3000) {G8,W8,D2,L2,V1,M2} R(2941,0) { ! midp( skol27, X,
% 3.24/3.68 skol25 ), coll( skol26, X, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := skol26
% 3.24/3.68 Z := skol25
% 3.24/3.68 T := Y
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := skol26
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20751) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ),
% 3.24/3.68 midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27, skol26, skol25 )
% 3.24/3.68 }.
% 3.24/3.68 parent0[1]: (20748) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 3.24/3.68 coll( skol25, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.24/3.68 midp( skol27, skol26, skol25 ) }.
% 3.24/3.68 parent1[0]: (660) {G4,W4,D2,L1,V0,M1} R(649,242) { coll( skol25, skol26,
% 3.24/3.68 skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (7791) {G9,W14,D3,L3,V2,M3} R(147,3000);r(660) { ! midp( X,
% 3.24/3.68 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27,
% 3.24/3.68 skol26, skol25 ) }.
% 3.24/3.68 parent0: (20751) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ), midp
% 3.24/3.68 ( skol7( skol26, Y ), skol26, Y ), ! midp( skol27, skol26, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 1 ==> 1
% 3.24/3.68 2 ==> 2
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 factor: (20753) {G9,W10,D3,L2,V1,M2} { ! midp( skol27, skol26, skol25 ),
% 3.24/3.68 midp( skol7( skol26, X ), skol26, X ) }.
% 3.24/3.68 parent0[0, 2]: (7791) {G9,W14,D3,L3,V2,M3} R(147,3000);r(660) { ! midp( X,
% 3.24/3.68 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27,
% 3.24/3.68 skol26, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol27
% 3.24/3.68 Y := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20754) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 3.24/3.68 , X ) }.
% 3.24/3.68 parent0[0]: (20753) {G9,W10,D3,L2,V1,M2} { ! midp( skol27, skol26, skol25
% 3.24/3.68 ), midp( skol7( skol26, X ), skol26, X ) }.
% 3.24/3.68 parent1[0]: (323) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol27, skol26,
% 3.24/3.68 skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (7884) {G10,W6,D3,L1,V1,M1} F(7791);r(323) { midp( skol7(
% 3.24/3.68 skol26, X ), skol26, X ) }.
% 3.24/3.68 parent0: (20754) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 3.24/3.68 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 factor: (20755) {G12,W10,D3,L2,V1,M2} { ! midp( skol27, skol25, skol26 ),
% 3.24/3.68 midp( skol7( skol25, X ), skol25, X ) }.
% 3.24/3.68 parent0[0, 2]: (7780) {G12,W14,D3,L3,V2,M3} R(147,2944);r(665) { ! midp( X
% 3.24/3.68 , skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27
% 3.24/3.68 , skol25, skol26 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol27
% 3.24/3.68 Y := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20756) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25
% 3.24/3.68 , X ) }.
% 3.24/3.68 parent0[0]: (20755) {G12,W10,D3,L2,V1,M2} { ! midp( skol27, skol25, skol26
% 3.24/3.68 ), midp( skol7( skol25, X ), skol25, X ) }.
% 3.24/3.68 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol25, skol26 )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (7885) {G13,W6,D3,L1,V1,M1} F(7780);r(118) { midp( skol7(
% 3.24/3.68 skol25, X ), skol25, X ) }.
% 3.24/3.68 parent0: (20756) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25, X
% 3.24/3.68 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20757) {G12,W4,D2,L1,V1,M1} { coll( skol25, skol25, X ) }.
% 3.24/3.68 parent0[0]: (635) {G11,W8,D2,L2,V3,M2} R(69,587) { ! midp( X, Y, Z ), coll
% 3.24/3.68 ( Y, Y, Z ) }.
% 3.24/3.68 parent1[0]: (7885) {G13,W6,D3,L1,V1,M1} F(7780);r(118) { midp( skol7(
% 3.24/3.68 skol25, X ), skol25, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol7( skol25, X )
% 3.24/3.68 Y := skol25
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (7933) {G14,W4,D2,L1,V1,M1} R(7885,635) { coll( skol25, skol25
% 3.24/3.68 , X ) }.
% 3.24/3.68 parent0: (20757) {G12,W4,D2,L1,V1,M1} { coll( skol25, skol25, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20758) {G1,W8,D2,L2,V2,M2} { ! coll( skol25, skol25, Y ),
% 3.24/3.68 coll( X, Y, skol25 ) }.
% 3.24/3.68 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.24/3.68 ), coll( Y, Z, X ) }.
% 3.24/3.68 parent1[0]: (7933) {G14,W4,D2,L1,V1,M1} R(7885,635) { coll( skol25, skol25
% 3.24/3.68 , X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol25
% 3.24/3.68 Y := X
% 3.24/3.68 Z := Y
% 3.24/3.68 T := skol25
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20760) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol25 ) }.
% 3.24/3.68 parent0[0]: (20758) {G1,W8,D2,L2,V2,M2} { ! coll( skol25, skol25, Y ),
% 3.24/3.68 coll( X, Y, skol25 ) }.
% 3.24/3.68 parent1[0]: (7933) {G14,W4,D2,L1,V1,M1} R(7885,635) { coll( skol25, skol25
% 3.24/3.68 , X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := Y
% 3.24/3.68 Y := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (7992) {G15,W4,D2,L1,V2,M1} R(7933,2);r(7933) { coll( Y, X,
% 3.24/3.68 skol25 ) }.
% 3.24/3.68 parent0: (20760) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20761) {G2,W4,D2,L1,V2,M1} { coll( Y, skol25, X ) }.
% 3.24/3.68 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.24/3.68 Z, X ) }.
% 3.24/3.68 parent1[0]: (7992) {G15,W4,D2,L1,V2,M1} R(7933,2);r(7933) { coll( Y, X,
% 3.24/3.68 skol25 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := skol25
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := Y
% 3.24/3.68 Y := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (8017) {G16,W4,D2,L1,V2,M1} R(7992,169) { coll( X, skol25, Y )
% 3.24/3.68 }.
% 3.24/3.68 parent0: (20761) {G2,W4,D2,L1,V2,M1} { coll( Y, skol25, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := Y
% 3.24/3.68 Y := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20762) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol25, Z ), coll( Y
% 3.24/3.68 , Z, X ) }.
% 3.24/3.68 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.24/3.68 ), coll( Y, Z, X ) }.
% 3.24/3.68 parent1[0]: (8017) {G16,W4,D2,L1,V2,M1} R(7992,169) { coll( X, skol25, Y )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 T := skol25
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20764) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.24/3.68 parent0[0]: (20762) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol25, Z ), coll( Y
% 3.24/3.68 , Z, X ) }.
% 3.24/3.68 parent1[0]: (8017) {G16,W4,D2,L1,V2,M1} R(7992,169) { coll( X, skol25, Y )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Z
% 3.24/3.68 Z := Y
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (8030) {G17,W4,D2,L1,V3,M1} R(8017,2);r(8017) { coll( Z, Y, X
% 3.24/3.68 ) }.
% 3.24/3.68 parent0: (20764) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20765) {G2,W5,D2,L1,V1,M1} { para( skol26, skol26, X, X ) }.
% 3.24/3.68 parent0[0]: (140) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 3.24/3.68 , Z, Z ) }.
% 3.24/3.68 parent1[0]: (7884) {G10,W6,D3,L1,V1,M1} F(7791);r(323) { midp( skol7(
% 3.24/3.68 skol26, X ), skol26, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol7( skol26, X )
% 3.24/3.68 Y := skol26
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (8090) {G11,W5,D2,L1,V1,M1} R(7884,140) { para( skol26, skol26
% 3.24/3.68 , X, X ) }.
% 3.24/3.68 parent0: (20765) {G2,W5,D2,L1,V1,M1} { para( skol26, skol26, X, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20766) {G1,W5,D2,L1,V1,M1} { para( X, X, skol26, skol26 ) }.
% 3.24/3.68 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 3.24/3.68 X, Y ) }.
% 3.24/3.68 parent1[0]: (8090) {G11,W5,D2,L1,V1,M1} R(7884,140) { para( skol26, skol26
% 3.24/3.68 , X, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol26
% 3.24/3.68 Y := skol26
% 3.24/3.68 Z := X
% 3.24/3.68 T := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (8110) {G12,W5,D2,L1,V1,M1} R(8090,4) { para( X, X, skol26,
% 3.24/3.68 skol26 ) }.
% 3.24/3.68 parent0: (20766) {G1,W5,D2,L1,V1,M1} { para( X, X, skol26, skol26 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20767) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 3.24/3.68 parent0[0]: (258) {G2,W10,D2,L2,V4,M2} F(254) { ! para( X, Y, Z, T ), para
% 3.24/3.68 ( X, Y, X, Y ) }.
% 3.24/3.68 parent1[0]: (8110) {G12,W5,D2,L1,V1,M1} R(8090,4) { para( X, X, skol26,
% 3.24/3.68 skol26 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := X
% 3.24/3.68 Z := skol26
% 3.24/3.68 T := skol26
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (8479) {G13,W5,D2,L1,V1,M1} R(258,8110) { para( X, X, X, X )
% 3.24/3.68 }.
% 3.24/3.68 parent0: (20767) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20768) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z
% 3.24/3.68 ) }.
% 3.24/3.68 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.24/3.68 , Y, U, W, Z, T, U, W ) }.
% 3.24/3.68 parent1[0]: (8479) {G13,W5,D2,L1,V1,M1} R(258,8110) { para( X, X, X, X )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := X
% 3.24/3.68 Z := X
% 3.24/3.68 T := X
% 3.24/3.68 U := Y
% 3.24/3.68 W := Z
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (8486) {G14,W9,D2,L1,V3,M1} R(8479,39) { eqangle( X, X, Y, Z,
% 3.24/3.68 X, X, Y, Z ) }.
% 3.24/3.68 parent0: (20768) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20769) {G2,W9,D2,L1,V3,M1} { eqangle( X, X, X, X, Y, Z, Y, Z
% 3.24/3.68 ) }.
% 3.24/3.68 parent0[1]: (437) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 3.24/3.68 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.24/3.68 parent1[0]: (8486) {G14,W9,D2,L1,V3,M1} R(8479,39) { eqangle( X, X, Y, Z, X
% 3.24/3.68 , X, Y, Z ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := X
% 3.24/3.68 Z := X
% 3.24/3.68 T := X
% 3.24/3.68 U := Y
% 3.24/3.68 W := Z
% 3.24/3.68 V0 := Y
% 3.24/3.68 V1 := Z
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (14948) {G15,W9,D2,L1,V3,M1} R(8486,437) { eqangle( X, X, X, X
% 3.24/3.68 , Y, Z, Y, Z ) }.
% 3.24/3.68 parent0: (20769) {G2,W9,D2,L1,V3,M1} { eqangle( X, X, X, X, Y, Z, Y, Z )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20770) {G2,W9,D2,L1,V3,M1} { eqangle( Z, Y, Y, Z, X, X, X, X
% 3.24/3.68 ) }.
% 3.24/3.68 parent0[0]: (427) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 3.24/3.68 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.24/3.68 parent1[0]: (14948) {G15,W9,D2,L1,V3,M1} R(8486,437) { eqangle( X, X, X, X
% 3.24/3.68 , Y, Z, Y, Z ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := X
% 3.24/3.68 Z := X
% 3.24/3.68 T := X
% 3.24/3.68 U := Y
% 3.24/3.68 W := Z
% 3.24/3.68 V0 := Y
% 3.24/3.68 V1 := Z
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (14953) {G16,W9,D2,L1,V3,M1} R(14948,427) { eqangle( X, Y, Y,
% 3.24/3.68 X, Z, Z, Z, Z ) }.
% 3.24/3.68 parent0: (20770) {G2,W9,D2,L1,V3,M1} { eqangle( Z, Y, Y, Z, X, X, X, X )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := Z
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20771) {G1,W10,D2,L2,V3,M2} { ! para( Z, Z, Z, Z ), para( X,
% 3.24/3.68 Y, Y, X ) }.
% 3.24/3.68 parent0[0]: (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.24/3.68 V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.24/3.68 parent1[0]: (14953) {G16,W9,D2,L1,V3,M1} R(14948,427) { eqangle( X, Y, Y, X
% 3.24/3.68 , Z, Z, Z, Z ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Y
% 3.24/3.68 T := X
% 3.24/3.68 U := Z
% 3.24/3.68 W := Z
% 3.24/3.68 V0 := Z
% 3.24/3.68 V1 := Z
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20772) {G2,W5,D2,L1,V2,M1} { para( Y, Z, Z, Y ) }.
% 3.24/3.68 parent0[0]: (20771) {G1,W10,D2,L2,V3,M2} { ! para( Z, Z, Z, Z ), para( X,
% 3.24/3.68 Y, Y, X ) }.
% 3.24/3.68 parent1[0]: (8479) {G13,W5,D2,L1,V1,M1} R(258,8110) { para( X, X, X, X )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := Y
% 3.24/3.68 Y := Z
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (14960) {G17,W5,D2,L1,V2,M1} R(14953,72);r(8479) { para( Y, Z
% 3.24/3.68 , Z, Y ) }.
% 3.24/3.68 parent0: (20772) {G2,W5,D2,L1,V2,M1} { para( Y, Z, Z, Y ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := T
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20773) {G3,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 3.24/3.68 parent0[0]: (259) {G2,W10,D2,L2,V4,M2} F(253) { ! para( X, Y, Z, T ), para
% 3.24/3.68 ( Z, T, Z, T ) }.
% 3.24/3.68 parent1[0]: (14960) {G17,W5,D2,L1,V2,M1} R(14953,72);r(8479) { para( Y, Z,
% 3.24/3.68 Z, Y ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Y
% 3.24/3.68 T := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := Z
% 3.24/3.68 Y := X
% 3.24/3.68 Z := Y
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (14961) {G18,W5,D2,L1,V2,M1} R(14960,259) { para( X, Y, X, Y )
% 3.24/3.68 }.
% 3.24/3.68 parent0: (20773) {G3,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := Y
% 3.24/3.68 Y := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20774) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.24/3.68 , Z, X, Z ) }.
% 3.24/3.68 parent0[0]: (806) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 3.24/3.68 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.24/3.68 parent1[0]: (8030) {G17,W4,D2,L1,V3,M1} R(8017,2);r(8017) { coll( Z, Y, X )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := Y
% 3.24/3.68 Y := X
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20775) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.24/3.68 parent0[1]: (20774) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.24/3.68 , Z, X, Z ) }.
% 3.24/3.68 parent1[0]: (14961) {G18,W5,D2,L1,V2,M1} R(14960,259) { para( X, Y, X, Y )
% 3.24/3.68 }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := Z
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := Z
% 3.24/3.68 Y := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (20129) {G19,W5,D2,L1,V3,M1} S(806);r(8030);r(14961) { cyclic
% 3.24/3.68 ( Z, Y, X, X ) }.
% 3.24/3.68 parent0: (20775) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := Z
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20776) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.24/3.68 parent0[0]: (365) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.24/3.68 cyclic( Y, Z, X, T ) }.
% 3.24/3.68 parent1[0]: (20129) {G19,W5,D2,L1,V3,M1} S(806);r(8030);r(14961) { cyclic(
% 3.24/3.68 Z, Y, X, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 T := Z
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := Z
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (20176) {G20,W5,D2,L1,V3,M1} R(20129,365) { cyclic( X, Y, Z, Y
% 3.24/3.68 ) }.
% 3.24/3.68 parent0: (20776) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := Z
% 3.24/3.68 Y := X
% 3.24/3.68 Z := Y
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20777) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.24/3.68 parent0[0]: (354) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.24/3.68 cyclic( X, Z, T, Y ) }.
% 3.24/3.68 parent1[0]: (20129) {G19,W5,D2,L1,V3,M1} S(806);r(8030);r(14961) { cyclic(
% 3.24/3.68 Z, Y, X, X ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 T := Z
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := Z
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := X
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (20178) {G20,W5,D2,L1,V3,M1} R(20129,354) { cyclic( X, Y, Y, Z
% 3.24/3.68 ) }.
% 3.24/3.68 parent0: (20777) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Z
% 3.24/3.68 Z := Y
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20779) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.24/3.68 ( Y, Y, Z, T ) }.
% 3.24/3.68 parent0[2]: (391) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.24/3.68 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.24/3.68 parent1[0]: (20176) {G20,W5,D2,L1,V3,M1} R(20129,365) { cyclic( X, Y, Z, Y
% 3.24/3.68 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Y
% 3.24/3.68 T := Z
% 3.24/3.68 U := T
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := T
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20780) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.24/3.68 parent0[0]: (20779) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.24/3.68 ( Y, Y, Z, T ) }.
% 3.24/3.68 parent1[0]: (20178) {G20,W5,D2,L1,V3,M1} R(20129,354) { cyclic( X, Y, Y, Z
% 3.24/3.68 ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 T := T
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (20211) {G21,W5,D2,L1,V3,M1} R(20176,391);r(20178) { cyclic( Y
% 3.24/3.68 , Y, Z, T ) }.
% 3.24/3.68 parent0: (20780) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := U
% 3.24/3.68 Y := Y
% 3.24/3.68 Z := Z
% 3.24/3.68 T := T
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 0 ==> 0
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20781) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol22,
% 3.24/3.68 skol24, skol20 ) }.
% 3.24/3.68 parent0[0]: (502) {G13,W10,D2,L2,V1,M2} R(500,16) { ! cyclic( X, skol22,
% 3.24/3.68 skol24, skol23 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.24/3.68 parent1[0]: (20211) {G21,W5,D2,L1,V3,M1} R(20176,391);r(20178) { cyclic( Y
% 3.24/3.68 , Y, Z, T ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 X := skol22
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := skol22
% 3.24/3.68 Z := skol24
% 3.24/3.68 T := skol23
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 resolution: (20783) {G15,W0,D0,L0,V0,M0} { }.
% 3.24/3.68 parent0[0]: (20781) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol22,
% 3.24/3.68 skol24, skol20 ) }.
% 3.24/3.68 parent1[0]: (20211) {G21,W5,D2,L1,V3,M1} R(20176,391);r(20178) { cyclic( Y
% 3.24/3.68 , Y, Z, T ) }.
% 3.24/3.68 substitution0:
% 3.24/3.68 end
% 3.24/3.68 substitution1:
% 3.24/3.68 X := X
% 3.24/3.68 Y := skol22
% 3.24/3.68 Z := skol24
% 3.24/3.68 T := skol20
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 subsumption: (20220) {G22,W0,D0,L0,V0,M0} R(20211,502);r(20211) { }.
% 3.24/3.68 parent0: (20783) {G15,W0,D0,L0,V0,M0} { }.
% 3.24/3.68 substitution0:
% 3.24/3.68 end
% 3.24/3.68 permutation0:
% 3.24/3.68 end
% 3.24/3.68
% 3.24/3.68 Proof check complete!
% 3.24/3.68
% 3.24/3.68 Memory use:
% 3.24/3.68
% 3.24/3.68 space for terms: 330122
% 3.24/3.68 space for clauses: 1048811
% 3.24/3.68
% 3.24/3.68
% 3.24/3.68 clauses generated: 132617
% 3.24/3.68 clauses kept: 20221
% 3.24/3.68 clauses selected: 1999
% 3.24/3.68 clauses deleted: 8270
% 3.24/3.68 clauses inuse deleted: 604
% 3.24/3.68
% 3.24/3.68 subsentry: 1907423
% 3.24/3.68 literals s-matched: 1278425
% 3.24/3.68 literals matched: 712964
% 3.24/3.68 full subsumption: 297298
% 3.24/3.68
% 3.24/3.68 checksum: -1000545634
% 3.24/3.68
% 3.24/3.68
% 3.24/3.68 Bliksem ended
%------------------------------------------------------------------------------