%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 02:54:59 EDT 2022
% Result : Theorem 30.63s 31.00s
% Output : Refutation 30.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 13:29:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.73/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.73/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.73/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.73/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.73/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.73/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.73/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.73/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.73/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.73/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.73/1.12 ( X, Y, Z, T ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.73/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.73/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.73/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.73/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.73/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.73/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.73/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.73/1.12 ( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.73/1.12 ( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.73/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.73/1.12 T ) }.
% 0.73/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.73/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.73/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.73/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.73/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.73/1.12 }.
% 0.73/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.73/1.12 Z, Y ) }.
% 0.73/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.73/1.12 X, Z ) }.
% 0.73/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.73/1.12 U ) }.
% 0.73/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.73/1.12 , Z ), midp( Z, X, Y ) }.
% 0.73/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.73/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.73/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.73/1.12 Z, Y ) }.
% 0.73/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.73/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.73/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.73/1.12 ( Y, X, X, Z ) }.
% 0.73/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.73/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.73/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.73/1.12 , W ) }.
% 0.73/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.73/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.73/1.12 , Y ) }.
% 0.73/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.73/1.12 , X, Z, U, Y, Y, T ) }.
% 0.73/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.73/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.73/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.73/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.73/1.12 .
% 0.73/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.73/1.12 ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.73/1.12 , Z, T ) }.
% 0.73/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.73/1.12 , Z, T ) }.
% 0.73/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.73/1.12 , Z, T ) }.
% 0.73/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.73/1.12 , W, Z, T ), Z, T ) }.
% 0.73/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.73/1.12 , Y, Z, T ), X, Y ) }.
% 0.73/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.73/1.12 , W, Z, T ), Z, T ) }.
% 0.73/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.73/1.12 skol2( X, Y, Z, T ) ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.73/1.12 , W, Z, T ), Z, T ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.73/1.12 skol3( X, Y, Z, T ) ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.73/1.12 , T ) }.
% 0.73/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.73/1.12 ) ) }.
% 0.73/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.73/1.12 skol5( W, Y, Z, T ) ) }.
% 0.73/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.73/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.73/1.12 , X, T ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.73/1.12 W, X, Z ) }.
% 0.73/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.73/1.12 , Y, T ) }.
% 0.73/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.73/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.73/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.73/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.73/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.73/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.73/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.73/1.12 Z, T ) ) }.
% 0.73/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.73/1.12 , T ) ) }.
% 0.73/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.73/1.12 , X, Y ) }.
% 0.73/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.73/1.12 ) }.
% 0.73/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.73/1.12 , Y ) }.
% 0.73/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.73/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 6.02/6.46 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.02/6.46 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 6.02/6.46 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.02/6.46 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 6.02/6.46 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.02/6.46 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 6.02/6.46 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 6.02/6.46 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 6.02/6.46 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 6.02/6.46 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 6.02/6.46 skol14( X, Y, Z ), X, Y, Z ) }.
% 6.02/6.46 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 6.02/6.46 X, Y, Z ) }.
% 6.02/6.46 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 6.02/6.46 }.
% 6.02/6.46 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 6.02/6.46 ) }.
% 6.02/6.46 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 6.02/6.46 skol17( X, Y ), X, Y ) }.
% 6.02/6.46 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 6.02/6.46 }.
% 6.02/6.46 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 6.02/6.46 ) }.
% 6.02/6.46 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 6.02/6.46 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 6.02/6.46 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 6.02/6.46 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 6.02/6.46 { circle( skol26, skol25, skol20, skol22 ) }.
% 6.02/6.46 { circle( skol26, skol25, skol27, skol28 ) }.
% 6.02/6.46 { coll( skol23, skol25, skol20 ) }.
% 6.02/6.46 { coll( skol23, skol22, skol27 ) }.
% 6.02/6.46 { para( skol25, skol27, skol24, skol23 ) }.
% 6.02/6.46 { coll( skol24, skol20, skol22 ) }.
% 6.02/6.46 { ! eqangle( skol24, skol23, skol23, skol20, skol23, skol22, skol22, skol20
% 6.02/6.46 ) }.
% 6.02/6.46
% 6.02/6.46 percentage equality = 0.008798, percentage horn = 0.926829
% 6.02/6.46 This is a problem with some equality
% 6.02/6.46
% 6.02/6.46
% 6.02/6.46
% 6.02/6.46 Options Used:
% 6.02/6.46
% 6.02/6.46 useres = 1
% 6.02/6.46 useparamod = 1
% 6.02/6.46 useeqrefl = 1
% 6.02/6.46 useeqfact = 1
% 6.02/6.46 usefactor = 1
% 6.02/6.46 usesimpsplitting = 0
% 6.02/6.46 usesimpdemod = 5
% 6.02/6.46 usesimpres = 3
% 6.02/6.46
% 6.02/6.46 resimpinuse = 1000
% 6.02/6.46 resimpclauses = 20000
% 6.02/6.46 substype = eqrewr
% 6.02/6.46 backwardsubs = 1
% 6.02/6.46 selectoldest = 5
% 6.02/6.46
% 6.02/6.46 litorderings [0] = split
% 6.02/6.46 litorderings [1] = extend the termordering, first sorting on arguments
% 6.02/6.46
% 6.02/6.46 termordering = kbo
% 6.02/6.46
% 6.02/6.46 litapriori = 0
% 6.02/6.46 termapriori = 1
% 6.02/6.46 litaposteriori = 0
% 6.02/6.46 termaposteriori = 0
% 6.02/6.46 demodaposteriori = 0
% 6.02/6.46 ordereqreflfact = 0
% 6.02/6.46
% 6.02/6.46 litselect = negord
% 6.02/6.46
% 6.02/6.46 maxweight = 15
% 6.02/6.46 maxdepth = 30000
% 6.02/6.46 maxlength = 115
% 6.02/6.46 maxnrvars = 195
% 6.02/6.46 excuselevel = 1
% 6.02/6.46 increasemaxweight = 1
% 6.02/6.46
% 6.02/6.46 maxselected = 10000000
% 6.02/6.46 maxnrclauses = 10000000
% 6.02/6.46
% 6.02/6.46 showgenerated = 0
% 6.02/6.46 showkept = 0
% 6.02/6.46 showselected = 0
% 6.02/6.46 showdeleted = 0
% 6.02/6.46 showresimp = 1
% 6.02/6.46 showstatus = 2000
% 6.02/6.46
% 6.02/6.46 prologoutput = 0
% 6.02/6.46 nrgoals = 5000000
% 6.02/6.46 totalproof = 1
% 6.02/6.46
% 6.02/6.46 Symbols occurring in the translation:
% 6.02/6.46
% 6.02/6.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.02/6.46 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 6.02/6.46 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 6.02/6.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.02/6.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.02/6.46 coll [38, 3] (w:1, o:66, a:1, s:1, b:0),
% 6.02/6.46 para [40, 4] (w:1, o:74, a:1, s:1, b:0),
% 6.02/6.46 perp [43, 4] (w:1, o:75, a:1, s:1, b:0),
% 6.02/6.46 midp [45, 3] (w:1, o:67, a:1, s:1, b:0),
% 6.02/6.46 cong [47, 4] (w:1, o:76, a:1, s:1, b:0),
% 6.02/6.46 circle [48, 4] (w:1, o:77, a:1, s:1, b:0),
% 6.02/6.46 cyclic [49, 4] (w:1, o:78, a:1, s:1, b:0),
% 6.02/6.46 eqangle [54, 8] (w:1, o:93, a:1, s:1, b:0),
% 6.02/6.46 eqratio [57, 8] (w:1, o:94, a:1, s:1, b:0),
% 6.02/6.46 simtri [59, 6] (w:1, o:90, a:1, s:1, b:0),
% 6.02/6.46 contri [60, 6] (w:1, o:91, a:1, s:1, b:0),
% 6.02/6.46 alpha1 [65, 3] (w:1, o:68, a:1, s:1, b:1),
% 6.02/6.46 alpha2 [66, 4] (w:1, o:79, a:1, s:1, b:1),
% 6.02/6.46 skol1 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 6.02/6.46 skol2 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 6.02/6.46 skol3 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 6.02/6.46 skol4 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 6.02/6.46 skol5 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 6.02/6.46 skol6 [72, 6] (w:1, o:92, a:1, s:1, b:1),
% 6.02/6.46 skol7 [73, 2] (w:1, o:62, a:1, s:1, b:1),
% 6.02/6.46 skol8 [74, 4] (w:1, o:87, a:1, s:1, b:1),
% 30.63/31.00 skol9 [75, 4] (w:1, o:88, a:1, s:1, b:1),
% 30.63/31.00 skol10 [76, 3] (w:1, o:69, a:1, s:1, b:1),
% 30.63/31.00 skol11 [77, 3] (w:1, o:70, a:1, s:1, b:1),
% 30.63/31.00 skol12 [78, 2] (w:1, o:63, a:1, s:1, b:1),
% 30.63/31.00 skol13 [79, 5] (w:1, o:89, a:1, s:1, b:1),
% 30.63/31.00 skol14 [80, 3] (w:1, o:71, a:1, s:1, b:1),
% 30.63/31.00 skol15 [81, 3] (w:1, o:72, a:1, s:1, b:1),
% 30.63/31.00 skol16 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 30.63/31.00 skol17 [83, 2] (w:1, o:64, a:1, s:1, b:1),
% 30.63/31.00 skol18 [84, 2] (w:1, o:65, a:1, s:1, b:1),
% 30.63/31.00 skol19 [85, 4] (w:1, o:81, a:1, s:1, b:1),
% 30.63/31.00 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 30.63/31.00 skol21 [87, 4] (w:1, o:83, a:1, s:1, b:1),
% 30.63/31.00 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 30.63/31.00 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 30.63/31.00 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 30.63/31.00 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 30.63/31.00 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 30.63/31.00 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 30.63/31.00 skol28 [94, 0] (w:1, o:32, a:1, s:1, b:1).
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Starting Search:
% 30.63/31.00
% 30.63/31.00 *** allocated 15000 integers for clauses
% 30.63/31.00 *** allocated 22500 integers for clauses
% 30.63/31.00 *** allocated 33750 integers for clauses
% 30.63/31.00 *** allocated 50625 integers for clauses
% 30.63/31.00 *** allocated 22500 integers for termspace/termends
% 30.63/31.00 *** allocated 75937 integers for clauses
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 33750 integers for termspace/termends
% 30.63/31.00 *** allocated 113905 integers for clauses
% 30.63/31.00 *** allocated 50625 integers for termspace/termends
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 16478
% 30.63/31.00 Kept: 2037
% 30.63/31.00 Inuse: 331
% 30.63/31.00 Deleted: 1
% 30.63/31.00 Deletedinuse: 1
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 170857 integers for clauses
% 30.63/31.00 *** allocated 75937 integers for termspace/termends
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 256285 integers for clauses
% 30.63/31.00 *** allocated 113905 integers for termspace/termends
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 38286
% 30.63/31.00 Kept: 4116
% 30.63/31.00 Inuse: 471
% 30.63/31.00 Deleted: 1
% 30.63/31.00 Deletedinuse: 1
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 384427 integers for clauses
% 30.63/31.00 *** allocated 170857 integers for termspace/termends
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 51679
% 30.63/31.00 Kept: 6285
% 30.63/31.00 Inuse: 546
% 30.63/31.00 Deleted: 1
% 30.63/31.00 Deletedinuse: 1
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 576640 integers for clauses
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 70212
% 30.63/31.00 Kept: 8359
% 30.63/31.00 Inuse: 690
% 30.63/31.00 Deleted: 2
% 30.63/31.00 Deletedinuse: 1
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 256285 integers for termspace/termends
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 100478
% 30.63/31.00 Kept: 10364
% 30.63/31.00 Inuse: 794
% 30.63/31.00 Deleted: 9
% 30.63/31.00 Deletedinuse: 4
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 113767
% 30.63/31.00 Kept: 12595
% 30.63/31.00 Inuse: 855
% 30.63/31.00 Deleted: 16
% 30.63/31.00 Deletedinuse: 10
% 30.63/31.00
% 30.63/31.00 *** allocated 864960 integers for clauses
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 123860
% 30.63/31.00 Kept: 14595
% 30.63/31.00 Inuse: 923
% 30.63/31.00 Deleted: 18
% 30.63/31.00 Deletedinuse: 10
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 384427 integers for termspace/termends
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 139527
% 30.63/31.00 Kept: 16596
% 30.63/31.00 Inuse: 1039
% 30.63/31.00 Deleted: 18
% 30.63/31.00 Deletedinuse: 10
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 171357
% 30.63/31.00 Kept: 18598
% 30.63/31.00 Inuse: 1156
% 30.63/31.00 Deleted: 26
% 30.63/31.00 Deletedinuse: 10
% 30.63/31.00
% 30.63/31.00 *** allocated 1297440 integers for clauses
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying clauses:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 185463
% 30.63/31.00 Kept: 20608
% 30.63/31.00 Inuse: 1266
% 30.63/31.00 Deleted: 1585
% 30.63/31.00 Deletedinuse: 20
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 203316
% 30.63/31.00 Kept: 22618
% 30.63/31.00 Inuse: 1404
% 30.63/31.00 Deleted: 1609
% 30.63/31.00 Deletedinuse: 44
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 223925
% 30.63/31.00 Kept: 24626
% 30.63/31.00 Inuse: 1581
% 30.63/31.00 Deleted: 1628
% 30.63/31.00 Deletedinuse: 62
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 576640 integers for termspace/termends
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 241435
% 30.63/31.00 Kept: 27467
% 30.63/31.00 Inuse: 1725
% 30.63/31.00 Deleted: 1636
% 30.63/31.00 Deletedinuse: 70
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 1946160 integers for clauses
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 250347
% 30.63/31.00 Kept: 29712
% 30.63/31.00 Inuse: 1780
% 30.63/31.00 Deleted: 1636
% 30.63/31.00 Deletedinuse: 70
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 259456
% 30.63/31.00 Kept: 32056
% 30.63/31.00 Inuse: 1795
% 30.63/31.00 Deleted: 1636
% 30.63/31.00 Deletedinuse: 70
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 279821
% 30.63/31.00 Kept: 34132
% 30.63/31.00 Inuse: 1890
% 30.63/31.00 Deleted: 1642
% 30.63/31.00 Deletedinuse: 76
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 290126
% 30.63/31.00 Kept: 36714
% 30.63/31.00 Inuse: 1913
% 30.63/31.00 Deleted: 1646
% 30.63/31.00 Deletedinuse: 78
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 297513
% 30.63/31.00 Kept: 38723
% 30.63/31.00 Inuse: 1953
% 30.63/31.00 Deleted: 1656
% 30.63/31.00 Deletedinuse: 83
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying clauses:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 309502
% 30.63/31.00 Kept: 40725
% 30.63/31.00 Inuse: 2005
% 30.63/31.00 Deleted: 6520
% 30.63/31.00 Deletedinuse: 125
% 30.63/31.00
% 30.63/31.00 *** allocated 864960 integers for termspace/termends
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 325358
% 30.63/31.00 Kept: 42801
% 30.63/31.00 Inuse: 2082
% 30.63/31.00 Deleted: 6526
% 30.63/31.00 Deletedinuse: 131
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 347234
% 30.63/31.00 Kept: 44807
% 30.63/31.00 Inuse: 2246
% 30.63/31.00 Deleted: 6536
% 30.63/31.00 Deletedinuse: 138
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 *** allocated 2919240 integers for clauses
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 365863
% 30.63/31.00 Kept: 46818
% 30.63/31.00 Inuse: 2408
% 30.63/31.00 Deleted: 6537
% 30.63/31.00 Deletedinuse: 139
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 395521
% 30.63/31.00 Kept: 48832
% 30.63/31.00 Inuse: 2569
% 30.63/31.00 Deleted: 6547
% 30.63/31.00 Deletedinuse: 147
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 417273
% 30.63/31.00 Kept: 50849
% 30.63/31.00 Inuse: 2704
% 30.63/31.00 Deleted: 6745
% 30.63/31.00 Deletedinuse: 280
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 448040
% 30.63/31.00 Kept: 52856
% 30.63/31.00 Inuse: 2831
% 30.63/31.00 Deleted: 6796
% 30.63/31.00 Deletedinuse: 299
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 490704
% 30.63/31.00 Kept: 54866
% 30.63/31.00 Inuse: 2967
% 30.63/31.00 Deleted: 6830
% 30.63/31.00 Deletedinuse: 299
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Intermediate Status:
% 30.63/31.00 Generated: 595678
% 30.63/31.00 Kept: 56871
% 30.63/31.00 Inuse: 3130
% 30.63/31.00 Deleted: 6870
% 30.63/31.00 Deletedinuse: 299
% 30.63/31.00
% 30.63/31.00 Resimplifying inuse:
% 30.63/31.00 Done
% 30.63/31.00
% 30.63/31.00
% 30.63/31.00 Bliksems!, er is een bewijs:
% 30.63/31.00 % SZS status Theorem
% 30.63/31.00 % SZS output start Refutation
% 30.63/31.00
% 30.63/31.00 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.63/31.00 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.63/31.00 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 30.63/31.00 , Z, X ) }.
% 30.63/31.00 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 30.63/31.00 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 30.63/31.01 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 30.63/31.01 para( X, Y, Z, T ) }.
% 30.63/31.01 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 30.63/31.01 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 30.63/31.01 para( X, Y, Z, T ) }.
% 30.63/31.01 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 30.63/31.01 }.
% 30.63/31.01 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 30.63/31.01 }.
% 30.63/31.01 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 30.63/31.01 }.
% 30.63/31.01 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 30.63/31.01 ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.63/31.01 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.63/31.01 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.63/31.01 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.63/31.01 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.63/31.01 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ) }.
% 30.63/31.01 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 30.63/31.01 , T, U, W ) }.
% 30.63/31.01 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 30.63/31.01 T, X, T, Y ) }.
% 30.63/31.01 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 30.63/31.01 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 30.63/31.01 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.63/31.01 , Y, Z, T ) }.
% 30.63/31.01 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 30.63/31.01 perp( X, Y, Z, T ) }.
% 30.63/31.01 (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol22, skol27 ) }.
% 30.63/31.01 (120) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol27, skol24, skol23 ) }.
% 30.63/31.01 (121) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol20, skol22 ) }.
% 30.63/31.01 (122) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol24, skol23, skol23, skol20,
% 30.63/31.01 skol23, skol22, skol22, skol20 ) }.
% 30.63/31.01 (161) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol27, skol22 ) }.
% 30.63/31.01 (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 30.63/31.01 coll( Z, X, T ) }.
% 30.63/31.01 (201) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 30.63/31.01 (226) {G1,W5,D2,L1,V0,M1} R(4,120) { para( skol24, skol23, skol25, skol27 )
% 30.63/31.01 }.
% 30.63/31.01 (227) {G2,W5,D2,L1,V0,M1} R(226,3) { para( skol24, skol23, skol27, skol25 )
% 30.63/31.01 }.
% 30.63/31.01 (228) {G3,W5,D2,L1,V0,M1} R(227,4) { para( skol27, skol25, skol24, skol23 )
% 30.63/31.01 }.
% 30.63/31.01 (229) {G4,W5,D2,L1,V0,M1} R(228,3) { para( skol27, skol25, skol23, skol24 )
% 30.63/31.01 }.
% 30.63/31.01 (230) {G5,W5,D2,L1,V0,M1} R(229,4) { para( skol23, skol24, skol27, skol25 )
% 30.63/31.01 }.
% 30.63/31.01 (233) {G5,W10,D2,L2,V2,M2} R(5,229) { ! para( X, Y, skol27, skol25 ), para
% 30.63/31.01 ( X, Y, skol23, skol24 ) }.
% 30.63/31.01 (265) {G3,W12,D2,L3,V4,M3} R(201,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 30.63/31.01 coll( X, Z, T ) }.
% 30.63/31.01 (274) {G3,W4,D2,L1,V0,M1} R(201,161) { coll( skol22, skol23, skol22 ) }.
% 30.63/31.01 (279) {G3,W4,D2,L1,V0,M1} R(201,121) { coll( skol22, skol24, skol22 ) }.
% 30.63/31.01 (280) {G4,W8,D2,L2,V3,M2} F(265) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 30.63/31.01 (297) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 30.63/31.01 ), ! perp( X, Y, U, W ) }.
% 30.63/31.01 (370) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 30.63/31.01 , T, Y ) }.
% 30.63/31.01 (378) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 30.63/31.01 , X, T ) }.
% 30.63/31.01 (380) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 30.63/31.01 , T, Z ) }.
% 30.63/31.01 (399) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 30.63/31.01 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.63/31.01 (404) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 30.63/31.01 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.63/31.01 (408) {G2,W10,D2,L2,V4,M2} F(399) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 30.63/31.01 , T ) }.
% 30.63/31.01 (422) {G4,W4,D2,L1,V0,M1} R(274,0) { coll( skol22, skol22, skol23 ) }.
% 30.63/31.01 (448) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 30.63/31.01 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 30.63/31.01 (454) {G4,W4,D2,L1,V0,M1} R(279,0) { coll( skol22, skol22, skol24 ) }.
% 30.63/31.01 (456) {G5,W8,D2,L2,V1,M2} R(454,2) { ! coll( skol22, skol22, X ), coll(
% 30.63/31.01 skol24, X, skol22 ) }.
% 30.63/31.01 (468) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 30.63/31.01 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2, V4, V5, X
% 30.63/31.01 , Y, Z, T ) }.
% 30.63/31.01 (474) {G5,W8,D2,L2,V3,M2} R(280,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 30.63/31.01 (488) {G6,W8,D2,L2,V3,M2} R(474,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 30.63/31.01 (492) {G7,W8,D2,L2,V3,M2} R(488,488) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 30.63/31.01 }.
% 30.63/31.01 (505) {G8,W12,D2,L3,V4,M3} R(492,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 30.63/31.01 , coll( T, Y, X ) }.
% 30.63/31.01 (506) {G9,W8,D2,L2,V3,M2} F(505) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 30.63/31.01 (507) {G10,W8,D2,L2,V3,M2} R(506,492) { coll( X, X, Y ), ! coll( Y, X, Z )
% 30.63/31.01 }.
% 30.63/31.01 (660) {G6,W4,D2,L1,V0,M1} R(456,422) { coll( skol24, skol23, skol22 ) }.
% 30.63/31.01 (670) {G11,W4,D2,L1,V0,M1} R(660,507) { coll( skol23, skol23, skol24 ) }.
% 30.63/31.01 (745) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 30.63/31.01 Z, T, U, W, U, W ) }.
% 30.63/31.01 (747) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 30.63/31.01 X, Y, U, W, Z, T ) }.
% 30.63/31.01 (758) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 30.63/31.01 para( X, Y, W, U ) }.
% 30.63/31.01 (876) {G12,W14,D2,L2,V1,M2} R(42,670) { ! eqangle( skol23, X, skol23,
% 30.63/31.01 skol24, skol23, X, skol23, skol24 ), cyclic( X, skol24, skol23, skol23 )
% 30.63/31.01 }.
% 30.63/31.01 (982) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.63/31.01 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.63/31.01 (1014) {G2,W15,D2,L3,V3,M3} F(982) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 30.63/31.01 , Z, Y ), cong( X, Y, X, Y ) }.
% 30.63/31.01 (16098) {G6,W5,D2,L1,V0,M1} R(233,230) { para( skol23, skol24, skol23,
% 30.63/31.01 skol24 ) }.
% 30.63/31.01 (46122) {G7,W9,D2,L1,V2,M1} R(747,16098) { eqangle( X, Y, skol23, skol24, X
% 30.63/31.01 , Y, skol23, skol24 ) }.
% 30.63/31.01 (49996) {G13,W5,D2,L1,V1,M1} S(876);r(46122) { cyclic( X, skol24, skol23,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 (50015) {G14,W5,D2,L1,V1,M1} R(49996,380) { cyclic( skol24, X, skol23,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 (50027) {G15,W5,D2,L1,V1,M1} R(50015,408) { cyclic( skol23, X, skol23,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 (50049) {G16,W5,D2,L1,V1,M1} R(50027,378) { cyclic( skol23, skol23, X,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 (50050) {G16,W5,D2,L1,V1,M1} R(50027,370) { cyclic( skol23, skol23, skol23
% 30.63/31.01 , X ) }.
% 30.63/31.01 (50055) {G17,W5,D2,L1,V2,M1} R(50049,404);r(50050) { cyclic( skol23, skol23
% 30.63/31.01 , X, Y ) }.
% 30.63/31.01 (50078) {G18,W5,D2,L1,V3,M1} R(50055,404);r(50055) { cyclic( skol23, X, Y,
% 30.63/31.01 Z ) }.
% 30.63/31.01 (50097) {G19,W5,D2,L1,V4,M1} R(50078,404);r(50078) { cyclic( X, Y, Z, T )
% 30.63/31.01 }.
% 30.63/31.01 (57118) {G20,W5,D2,L1,V2,M1} S(1014);r(50097);r(50097) { cong( X, Y, X, Y )
% 30.63/31.01 }.
% 30.63/31.01 (57135) {G21,W5,D2,L1,V3,M1} R(57118,56);r(57118) { perp( X, X, Z, Y ) }.
% 30.63/31.01 (57160) {G22,W5,D2,L1,V4,M1} R(57135,297);r(57135) { para( X, Y, Z, T ) }.
% 30.63/31.01 (57324) {G23,W9,D2,L1,V6,M1} R(57160,758) { eqangle( X, Y, Z, T, U, W, Z, T
% 30.63/31.01 ) }.
% 30.63/31.01 (57326) {G23,W9,D2,L1,V6,M1} R(57160,745) { eqangle( X, Y, Z, T, U, W, U, W
% 30.63/31.01 ) }.
% 30.63/31.01 (57505) {G24,W9,D2,L1,V6,M1} R(57324,448) { eqangle( X, Y, X, Y, Z, T, U, W
% 30.63/31.01 ) }.
% 30.63/31.01 (57507) {G25,W9,D2,L1,V8,M1} R(57505,468);r(57326) { eqangle( X, Y, Z, T, U
% 30.63/31.01 , W, V0, V1 ) }.
% 30.63/31.01 (57508) {G26,W0,D0,L0,V0,M0} R(57507,122) { }.
% 30.63/31.01
% 30.63/31.01
% 30.63/31.01 % SZS output end Refutation
% 30.63/31.01 found a proof!
% 30.63/31.01
% 30.63/31.01
% 30.63/31.01 Unprocessed initial clauses:
% 30.63/31.01
% 30.63/31.01 (57510) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.63/31.01 (57511) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.63/31.01 (57512) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 30.63/31.01 ( Y, Z, X ) }.
% 30.63/31.01 (57513) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 30.63/31.01 }.
% 30.63/31.01 (57514) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 30.63/31.01 }.
% 30.63/31.01 (57515) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 30.63/31.01 , para( X, Y, Z, T ) }.
% 30.63/31.01 (57516) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 30.63/31.01 }.
% 30.63/31.01 (57517) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 30.63/31.01 }.
% 30.63/31.01 (57518) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.63/31.01 , para( X, Y, Z, T ) }.
% 30.63/31.01 (57519) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.63/31.01 , perp( X, Y, Z, T ) }.
% 30.63/31.01 (57520) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 30.63/31.01 (57521) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 30.63/31.01 , circle( T, X, Y, Z ) }.
% 30.63/31.01 (57522) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 30.63/31.01 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 (57523) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 30.63/31.01 ) }.
% 30.63/31.01 (57524) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 30.63/31.01 ) }.
% 30.63/31.01 (57525) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 30.63/31.01 ) }.
% 30.63/31.01 (57526) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 30.63/31.01 T ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 (57527) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.63/31.01 (57528) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.63/31.01 (57529) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.63/31.01 (57530) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.63/31.01 (57531) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.63/31.01 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ) }.
% 30.63/31.01 (57532) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 30.63/31.01 }.
% 30.63/31.01 (57533) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 30.63/31.01 }.
% 30.63/31.01 (57534) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 30.63/31.01 , cong( X, Y, Z, T ) }.
% 30.63/31.01 (57535) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.63/31.01 (57536) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 30.63/31.01 (57537) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 30.63/31.01 (57538) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.63/31.01 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.63/31.01 (57539) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.63/31.01 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ) }.
% 30.63/31.01 (57540) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 30.63/31.01 , Z, T, U, W ) }.
% 30.63/31.01 (57541) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 30.63/31.01 , Z, T, U, W ) }.
% 30.63/31.01 (57542) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 30.63/31.01 , Z, T, U, W ) }.
% 30.63/31.01 (57543) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 30.63/31.01 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 30.63/31.01 (57544) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 30.63/31.01 , Z, T, U, W ) }.
% 30.63/31.01 (57545) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 30.63/31.01 , Z, T, U, W ) }.
% 30.63/31.01 (57546) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 30.63/31.01 , Z, T, U, W ) }.
% 30.63/31.01 (57547) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 30.63/31.01 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 30.63/31.01 (57548) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 30.63/31.01 X, Y, Z, T ) }.
% 30.63/31.01 (57549) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 30.63/31.01 Z, T, U, W ) }.
% 30.63/31.01 (57550) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 30.63/31.01 , T, X, T, Y ) }.
% 30.63/31.01 (57551) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 30.63/31.01 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 (57552) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 30.63/31.01 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 (57553) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 30.63/31.01 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.63/31.01 , Y, Z, T ) }.
% 30.63/31.01 (57554) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 30.63/31.01 ( Z, T, X, Y ) }.
% 30.63/31.01 (57555) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 30.63/31.01 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 30.63/31.01 (57556) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 30.63/31.01 X, Y, Z, Y ) }.
% 30.63/31.01 (57557) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 30.63/31.01 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 30.63/31.01 (57558) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 30.63/31.01 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 30.63/31.01 (57559) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 30.63/31.01 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 30.63/31.01 (57560) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 30.63/31.01 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 30.63/31.01 (57561) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 30.63/31.01 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 30.63/31.01 (57562) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 30.63/31.01 cong( X, Z, Y, Z ) }.
% 30.63/31.01 (57563) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 30.63/31.01 perp( X, Y, Y, Z ) }.
% 30.63/31.01 (57564) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.63/31.01 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 30.63/31.01 (57565) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 30.63/31.01 cong( Z, X, Z, Y ) }.
% 30.63/31.01 (57566) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 30.63/31.01 , perp( X, Y, Z, T ) }.
% 30.63/31.01 (57567) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 30.63/31.01 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.63/31.01 (57568) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 30.63/31.01 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 30.63/31.01 , W ) }.
% 30.63/31.01 (57569) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 30.63/31.01 , X, Z, T, U, T, W ) }.
% 30.63/31.01 (57570) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 30.63/31.01 , Y, Z, T, U, U, W ) }.
% 30.63/31.01 (57571) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 30.63/31.01 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 30.63/31.01 (57572) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 30.63/31.01 , T ) }.
% 30.63/31.01 (57573) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 30.63/31.01 ( X, Z, Y, T ) }.
% 30.63/31.01 (57574) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 30.63/31.01 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 30.63/31.01 (57575) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 30.63/31.01 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 30.63/31.01 (57576) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 30.63/31.01 (57577) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 30.63/31.01 midp( X, Y, Z ) }.
% 30.63/31.01 (57578) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 30.63/31.01 (57579) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 30.63/31.01 (57580) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 30.63/31.01 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 30.63/31.01 (57581) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 30.63/31.01 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 30.63/31.01 (57582) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 30.63/31.01 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 30.63/31.01 (57583) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.63/31.01 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 30.63/31.01 (57584) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.63/31.01 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 30.63/31.01 (57585) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 30.63/31.01 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 30.63/31.01 (57586) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.63/31.01 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 30.63/31.01 (57587) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.63/31.01 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 30.63/31.01 (57588) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.63/31.01 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 30.63/31.01 (57589) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.63/31.01 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 30.63/31.01 (57590) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.63/31.01 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 30.63/31.01 (57591) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.63/31.01 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 30.63/31.01 (57592) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.63/31.01 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 30.63/31.01 (57593) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.63/31.01 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 30.63/31.01 (57594) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.63/31.01 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 30.63/31.01 (57595) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.63/31.01 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 30.63/31.01 , T ) ) }.
% 30.63/31.01 (57596) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 30.63/31.01 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 30.63/31.01 (57597) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.63/31.01 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 30.63/31.01 (57598) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.63/31.01 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 30.63/31.01 (57599) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 30.63/31.01 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 30.63/31.01 (57600) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.63/31.01 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 30.63/31.01 ) }.
% 30.63/31.01 (57601) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.63/31.01 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 30.63/31.01 }.
% 30.63/31.01 (57602) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.63/31.01 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 30.63/31.01 (57603) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.63/31.01 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 30.63/31.01 (57604) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.63/31.01 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 30.63/31.01 (57605) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.63/31.01 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.63/31.01 (57606) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.63/31.01 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 30.63/31.01 (57607) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.63/31.01 , alpha1( X, Y, Z ) }.
% 30.63/31.01 (57608) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 30.63/31.01 ), Z, X ) }.
% 30.63/31.01 (57609) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 30.63/31.01 , Z ), Z, X ) }.
% 30.63/31.01 (57610) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 30.63/31.01 alpha1( X, Y, Z ) }.
% 30.63/31.01 (57611) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 30.63/31.01 ), X, X, Y ) }.
% 30.63/31.01 (57612) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.63/31.01 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 30.63/31.01 ) ) }.
% 30.63/31.01 (57613) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.63/31.01 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 30.63/31.01 (57614) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.63/31.01 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 30.63/31.01 }.
% 30.63/31.01 (57615) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 30.63/31.01 (57616) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 30.63/31.01 }.
% 30.63/31.01 (57617) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 30.63/31.01 alpha2( X, Y, Z, T ) }.
% 30.63/31.01 (57618) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.63/31.01 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 30.63/31.01 (57619) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 30.63/31.01 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 30.63/31.01 (57620) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.63/31.01 coll( skol16( W, Y, Z ), Y, Z ) }.
% 30.63/31.01 (57621) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.63/31.01 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 30.63/31.01 (57622) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 30.63/31.01 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 30.63/31.01 (57623) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.63/31.01 , coll( X, Y, skol18( X, Y ) ) }.
% 30.63/31.01 (57624) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.63/31.01 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 30.63/31.01 (57625) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.63/31.01 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 30.63/31.01 }.
% 30.63/31.01 (57626) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.63/31.01 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 30.63/31.01 }.
% 30.63/31.01 (57627) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol20, skol22 ) }.
% 30.63/31.01 (57628) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol27, skol28 ) }.
% 30.63/31.01 (57629) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 30.63/31.01 (57630) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol27 ) }.
% 30.63/31.01 (57631) {G0,W5,D2,L1,V0,M1} { para( skol25, skol27, skol24, skol23 ) }.
% 30.63/31.01 (57632) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol22 ) }.
% 30.63/31.01 (57633) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol24, skol23, skol23, skol20,
% 30.63/31.01 skol23, skol22, skol22, skol20 ) }.
% 30.63/31.01
% 30.63/31.01
% 30.63/31.01 Total Proof:
% 30.63/31.01
% 30.63/31.01 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 parent0: (57510) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.63/31.01 }.
% 30.63/31.01 parent0: (57511) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 30.63/31.01 Z ), coll( Y, Z, X ) }.
% 30.63/31.01 parent0: (57512) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.63/31.01 ), coll( Y, Z, X ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 30.63/31.01 , T, Z ) }.
% 30.63/31.01 parent0: (57513) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 30.63/31.01 T, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 30.63/31.01 , X, Y ) }.
% 30.63/31.01 parent0: (57514) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 30.63/31.01 X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 30.63/31.01 W, Z, T ), para( X, Y, Z, T ) }.
% 30.63/31.01 parent0: (57515) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 30.63/31.01 , Z, T ), para( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 30.63/31.01 , X, Y ) }.
% 30.63/31.01 parent0: (57517) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.63/31.01 X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 30.63/31.01 W, Z, T ), para( X, Y, Z, T ) }.
% 30.63/31.01 parent0: (57518) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 30.63/31.01 , Z, T ), para( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.63/31.01 X, Y, T, Z ) }.
% 30.63/31.01 parent0: (57523) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.63/31.01 , Y, T, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.63/31.01 X, Z, Y, T ) }.
% 30.63/31.01 parent0: (57524) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.63/31.01 , Z, Y, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.63/31.01 Y, X, Z, T ) }.
% 30.63/31.01 parent0: (57525) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.63/31.01 , X, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.63/31.01 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 parent0: (57526) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 30.63/31.01 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.63/31.01 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.63/31.01 parent0: (57527) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.63/31.01 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.63/31.01 parent0: (57528) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.63/31.01 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.63/31.01 parent0: (57529) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.63/31.01 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.63/31.01 parent0: (57530) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 30.63/31.01 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 30.63/31.01 , U, W, V0, V1 ) }.
% 30.63/31.01 parent0: (57531) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 30.63/31.01 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 30.63/31.01 , W, V0, V1 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 V2 := V2
% 30.63/31.01 V3 := V3
% 30.63/31.01 V4 := V4
% 30.63/31.01 V5 := V5
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.63/31.01 , Y, U, W, Z, T, U, W ) }.
% 30.63/31.01 parent0: (57549) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 30.63/31.01 Y, U, W, Z, T, U, W ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 30.63/31.01 ( Z, X, Z, Y, T, X, T, Y ) }.
% 30.63/31.01 parent0: (57550) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 30.63/31.01 , X, Z, Y, T, X, T, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 30.63/31.01 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 parent0: (57552) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.63/31.01 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.63/31.01 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.63/31.01 ), cong( X, Y, Z, T ) }.
% 30.63/31.01 parent0: (57553) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 30.63/31.01 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 30.63/31.01 , cong( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 3 ==> 3
% 30.63/31.01 4 ==> 4
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 30.63/31.01 , T, Y, T ), perp( X, Y, Z, T ) }.
% 30.63/31.01 parent0: (57566) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 30.63/31.01 , Y, T ), perp( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol22, skol27 )
% 30.63/31.01 }.
% 30.63/31.01 parent0: (57630) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol27 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol27, skol24,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 parent0: (57631) {G0,W5,D2,L1,V0,M1} { para( skol25, skol27, skol24,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol20, skol22 )
% 30.63/31.01 }.
% 30.63/31.01 parent0: (57632) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (122) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol24, skol23,
% 30.63/31.01 skol23, skol20, skol23, skol22, skol22, skol20 ) }.
% 30.63/31.01 parent0: (57633) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol24, skol23, skol23,
% 30.63/31.01 skol20, skol23, skol22, skol22, skol20 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58011) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol27, skol22 )
% 30.63/31.01 }.
% 30.63/31.01 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol22, skol27 )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := skol22
% 30.63/31.01 Z := skol27
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (161) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol27,
% 30.63/31.01 skol22 ) }.
% 30.63/31.01 parent0: (58011) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol27, skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58015) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 30.63/31.01 X ), ! coll( Z, T, Y ) }.
% 30.63/31.01 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.63/31.01 ), coll( Y, Z, X ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := Z
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Y
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 30.63/31.01 ( X, Y, T ), coll( Z, X, T ) }.
% 30.63/31.01 parent0: (58015) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 30.63/31.01 , ! coll( Z, T, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := Z
% 30.63/31.01 Y := T
% 30.63/31.01 Z := X
% 30.63/31.01 T := Y
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 2
% 30.63/31.01 1 ==> 0
% 30.63/31.01 2 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 factor: (58017) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.63/31.01 }.
% 30.63/31.01 parent0[0, 1]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 30.63/31.01 coll( X, Y, T ), coll( Z, X, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := Z
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (201) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z
% 30.63/31.01 , X, Z ) }.
% 30.63/31.01 parent0: (58017) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58018) {G1,W5,D2,L1,V0,M1} { para( skol24, skol23, skol25,
% 30.63/31.01 skol27 ) }.
% 30.63/31.01 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 30.63/31.01 X, Y ) }.
% 30.63/31.01 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol27, skol24,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol25
% 30.63/31.01 Y := skol27
% 30.63/31.01 Z := skol24
% 30.63/31.01 T := skol23
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (226) {G1,W5,D2,L1,V0,M1} R(4,120) { para( skol24, skol23,
% 30.63/31.01 skol25, skol27 ) }.
% 30.63/31.01 parent0: (58018) {G1,W5,D2,L1,V0,M1} { para( skol24, skol23, skol25,
% 30.63/31.01 skol27 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58019) {G1,W5,D2,L1,V0,M1} { para( skol24, skol23, skol27,
% 30.63/31.01 skol25 ) }.
% 30.63/31.01 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 30.63/31.01 T, Z ) }.
% 30.63/31.01 parent1[0]: (226) {G1,W5,D2,L1,V0,M1} R(4,120) { para( skol24, skol23,
% 30.63/31.01 skol25, skol27 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol24
% 30.63/31.01 Y := skol23
% 30.63/31.01 Z := skol25
% 30.63/31.01 T := skol27
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (227) {G2,W5,D2,L1,V0,M1} R(226,3) { para( skol24, skol23,
% 30.63/31.01 skol27, skol25 ) }.
% 30.63/31.01 parent0: (58019) {G1,W5,D2,L1,V0,M1} { para( skol24, skol23, skol27,
% 30.63/31.01 skol25 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58020) {G1,W5,D2,L1,V0,M1} { para( skol27, skol25, skol24,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 30.63/31.01 X, Y ) }.
% 30.63/31.01 parent1[0]: (227) {G2,W5,D2,L1,V0,M1} R(226,3) { para( skol24, skol23,
% 30.63/31.01 skol27, skol25 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol24
% 30.63/31.01 Y := skol23
% 30.63/31.01 Z := skol27
% 30.63/31.01 T := skol25
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (228) {G3,W5,D2,L1,V0,M1} R(227,4) { para( skol27, skol25,
% 30.63/31.01 skol24, skol23 ) }.
% 30.63/31.01 parent0: (58020) {G1,W5,D2,L1,V0,M1} { para( skol27, skol25, skol24,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58021) {G1,W5,D2,L1,V0,M1} { para( skol27, skol25, skol23,
% 30.63/31.01 skol24 ) }.
% 30.63/31.01 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 30.63/31.01 T, Z ) }.
% 30.63/31.01 parent1[0]: (228) {G3,W5,D2,L1,V0,M1} R(227,4) { para( skol27, skol25,
% 30.63/31.01 skol24, skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol27
% 30.63/31.01 Y := skol25
% 30.63/31.01 Z := skol24
% 30.63/31.01 T := skol23
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (229) {G4,W5,D2,L1,V0,M1} R(228,3) { para( skol27, skol25,
% 30.63/31.01 skol23, skol24 ) }.
% 30.63/31.01 parent0: (58021) {G1,W5,D2,L1,V0,M1} { para( skol27, skol25, skol23,
% 30.63/31.01 skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58022) {G1,W5,D2,L1,V0,M1} { para( skol23, skol24, skol27,
% 30.63/31.01 skol25 ) }.
% 30.63/31.01 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 30.63/31.01 X, Y ) }.
% 30.63/31.01 parent1[0]: (229) {G4,W5,D2,L1,V0,M1} R(228,3) { para( skol27, skol25,
% 30.63/31.01 skol23, skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol27
% 30.63/31.01 Y := skol25
% 30.63/31.01 Z := skol23
% 30.63/31.01 T := skol24
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (230) {G5,W5,D2,L1,V0,M1} R(229,4) { para( skol23, skol24,
% 30.63/31.01 skol27, skol25 ) }.
% 30.63/31.01 parent0: (58022) {G1,W5,D2,L1,V0,M1} { para( skol23, skol24, skol27,
% 30.63/31.01 skol25 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58024) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol25 )
% 30.63/31.01 , para( X, Y, skol23, skol24 ) }.
% 30.63/31.01 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 30.63/31.01 , Z, T ), para( X, Y, Z, T ) }.
% 30.63/31.01 parent1[0]: (229) {G4,W5,D2,L1,V0,M1} R(228,3) { para( skol27, skol25,
% 30.63/31.01 skol23, skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := skol23
% 30.63/31.01 T := skol24
% 30.63/31.01 U := skol27
% 30.63/31.01 W := skol25
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (233) {G5,W10,D2,L2,V2,M2} R(5,229) { ! para( X, Y, skol27,
% 30.63/31.01 skol25 ), para( X, Y, skol23, skol24 ) }.
% 30.63/31.01 parent0: (58024) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol25 ),
% 30.63/31.01 para( X, Y, skol23, skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58025) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 30.63/31.01 X ), ! coll( Z, T, Y ) }.
% 30.63/31.01 parent0[0]: (201) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 30.63/31.01 X, Z ) }.
% 30.63/31.01 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.63/31.01 ), coll( Y, Z, X ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := Z
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Y
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (265) {G3,W12,D2,L3,V4,M3} R(201,2) { coll( X, Y, X ), ! coll
% 30.63/31.01 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.63/31.01 parent0: (58025) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 30.63/31.01 , ! coll( Z, T, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := X
% 30.63/31.01 T := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58027) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol22 )
% 30.63/31.01 }.
% 30.63/31.01 parent0[0]: (201) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 30.63/31.01 X, Z ) }.
% 30.63/31.01 parent1[0]: (161) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol27,
% 30.63/31.01 skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := skol27
% 30.63/31.01 Z := skol22
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (274) {G3,W4,D2,L1,V0,M1} R(201,161) { coll( skol22, skol23,
% 30.63/31.01 skol22 ) }.
% 30.63/31.01 parent0: (58027) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58028) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol22 )
% 30.63/31.01 }.
% 30.63/31.01 parent0[0]: (201) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 30.63/31.01 X, Z ) }.
% 30.63/31.01 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol20, skol22 )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol24
% 30.63/31.01 Y := skol20
% 30.63/31.01 Z := skol22
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (279) {G3,W4,D2,L1,V0,M1} R(201,121) { coll( skol22, skol24,
% 30.63/31.01 skol22 ) }.
% 30.63/31.01 parent0: (58028) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 factor: (58029) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 parent0[1, 2]: (265) {G3,W12,D2,L3,V4,M3} R(201,2) { coll( X, Y, X ), !
% 30.63/31.01 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (280) {G4,W8,D2,L2,V3,M2} F(265) { coll( X, Y, X ), ! coll( X
% 30.63/31.01 , Z, Y ) }.
% 30.63/31.01 parent0: (58029) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58030) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 30.63/31.01 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 30.63/31.01 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.63/31.01 , Z, T ), para( X, Y, Z, T ) }.
% 30.63/31.01 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.63/31.01 X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := U
% 30.63/31.01 T := W
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := Z
% 30.63/31.01 Y := T
% 30.63/31.01 Z := X
% 30.63/31.01 T := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (297) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.63/31.01 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.63/31.01 parent0: (58030) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 30.63/31.01 U, W ), ! perp( Z, T, X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := U
% 30.63/31.01 Y := W
% 30.63/31.01 Z := X
% 30.63/31.01 T := Y
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58035) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 30.63/31.01 ( X, Z, Y, T ) }.
% 30.63/31.01 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.63/31.01 , Y, T, Z ) }.
% 30.63/31.01 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.63/31.01 , Z, Y, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := Y
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (370) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.63/31.01 cyclic( X, Z, T, Y ) }.
% 30.63/31.01 parent0: (58035) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 30.63/31.01 , Z, Y, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := Y
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 1
% 30.63/31.01 1 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58036) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.63/31.01 ( X, Z, Y, T ) }.
% 30.63/31.01 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.63/31.01 , X, Z, T ) }.
% 30.63/31.01 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.63/31.01 , Z, Y, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := Y
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (378) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.63/31.01 cyclic( Y, Z, X, T ) }.
% 30.63/31.01 parent0: (58036) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.63/31.01 , Z, Y, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58037) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.63/31.01 ( X, Y, T, Z ) }.
% 30.63/31.01 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.63/31.01 , X, Z, T ) }.
% 30.63/31.01 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.63/31.01 , Y, T, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := T
% 30.63/31.01 T := Z
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (380) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.63/31.01 cyclic( Y, X, T, Z ) }.
% 30.63/31.01 parent0: (58037) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.63/31.01 , Y, T, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58041) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 30.63/31.01 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.63/31.01 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.63/31.01 , X, Z, T ) }.
% 30.63/31.01 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.63/31.01 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (399) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 30.63/31.01 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.63/31.01 parent0: (58041) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 30.63/31.01 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := T
% 30.63/31.01 T := U
% 30.63/31.01 U := X
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 2
% 30.63/31.01 1 ==> 0
% 30.63/31.01 2 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58044) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 30.63/31.01 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.63/31.01 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.63/31.01 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.63/31.01 , Y, T, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := T
% 30.63/31.01 T := U
% 30.63/31.01 U := X
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := U
% 30.63/31.01 T := Z
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (404) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.63/31.01 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.63/31.01 parent0: (58044) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.63/31.01 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 factor: (58046) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 30.63/31.01 Y, T, T ) }.
% 30.63/31.01 parent0[0, 1]: (399) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 30.63/31.01 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (408) {G2,W10,D2,L2,V4,M2} F(399) { ! cyclic( X, Y, Z, T ),
% 30.63/31.01 cyclic( Z, Y, T, T ) }.
% 30.63/31.01 parent0: (58046) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 30.63/31.01 , Y, T, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58047) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol23 )
% 30.63/31.01 }.
% 30.63/31.01 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 parent1[0]: (274) {G3,W4,D2,L1,V0,M1} R(201,161) { coll( skol22, skol23,
% 30.63/31.01 skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol22
% 30.63/31.01 Y := skol23
% 30.63/31.01 Z := skol22
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (422) {G4,W4,D2,L1,V0,M1} R(274,0) { coll( skol22, skol22,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 parent0: (58047) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58049) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 30.63/31.01 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.63/31.01 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.63/31.01 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := U
% 30.63/31.01 T := W
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (448) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 30.63/31.01 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 30.63/31.01 parent0: (58049) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 30.63/31.01 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := U
% 30.63/31.01 T := W
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 1
% 30.63/31.01 1 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58050) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol24 )
% 30.63/31.01 }.
% 30.63/31.01 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 parent1[0]: (279) {G3,W4,D2,L1,V0,M1} R(201,121) { coll( skol22, skol24,
% 30.63/31.01 skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol22
% 30.63/31.01 Y := skol24
% 30.63/31.01 Z := skol22
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (454) {G4,W4,D2,L1,V0,M1} R(279,0) { coll( skol22, skol22,
% 30.63/31.01 skol24 ) }.
% 30.63/31.01 parent0: (58050) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58051) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol22, X ),
% 30.63/31.01 coll( skol24, X, skol22 ) }.
% 30.63/31.01 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.63/31.01 ), coll( Y, Z, X ) }.
% 30.63/31.01 parent1[0]: (454) {G4,W4,D2,L1,V0,M1} R(279,0) { coll( skol22, skol22,
% 30.63/31.01 skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol22
% 30.63/31.01 Y := skol24
% 30.63/31.01 Z := X
% 30.63/31.01 T := skol22
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (456) {G5,W8,D2,L2,V1,M2} R(454,2) { ! coll( skol22, skol22, X
% 30.63/31.01 ), coll( skol24, X, skol22 ) }.
% 30.63/31.01 parent0: (58051) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol22, X ), coll(
% 30.63/31.01 skol24, X, skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58053) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2,
% 30.63/31.01 V3, V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z,
% 30.63/31.01 T, U, W, V0, V1 ) }.
% 30.63/31.01 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 30.63/31.01 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 30.63/31.01 , U, W, V0, V1 ) }.
% 30.63/31.01 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := V2
% 30.63/31.01 W := V3
% 30.63/31.01 V0 := V4
% 30.63/31.01 V1 := V5
% 30.63/31.01 V2 := U
% 30.63/31.01 V3 := W
% 30.63/31.01 V4 := V0
% 30.63/31.01 V5 := V1
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (468) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T,
% 30.63/31.01 U, W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3,
% 30.63/31.01 V2, V4, V5, X, Y, Z, T ) }.
% 30.63/31.01 parent0: (58053) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2, V3,
% 30.63/31.01 V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z, T, U
% 30.63/31.01 , W, V0, V1 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := V2
% 30.63/31.01 Y := V3
% 30.63/31.01 Z := V4
% 30.63/31.01 T := V5
% 30.63/31.01 U := X
% 30.63/31.01 W := Y
% 30.63/31.01 V0 := Z
% 30.63/31.01 V1 := T
% 30.63/31.01 V2 := U
% 30.63/31.01 V3 := W
% 30.63/31.01 V4 := V0
% 30.63/31.01 V5 := V1
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58058) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 30.63/31.01 ) }.
% 30.63/31.01 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.63/31.01 }.
% 30.63/31.01 parent1[0]: (280) {G4,W8,D2,L2,V3,M2} F(265) { coll( X, Y, X ), ! coll( X,
% 30.63/31.01 Z, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := X
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (474) {G5,W8,D2,L2,V3,M2} R(280,1) { ! coll( X, Y, Z ), coll(
% 30.63/31.01 Z, X, X ) }.
% 30.63/31.01 parent0: (58058) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := Y
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 1
% 30.63/31.01 1 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58059) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 30.63/31.01 ) }.
% 30.63/31.01 parent0[0]: (474) {G5,W8,D2,L2,V3,M2} R(280,1) { ! coll( X, Y, Z ), coll( Z
% 30.63/31.01 , X, X ) }.
% 30.63/31.01 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (488) {G6,W8,D2,L2,V3,M2} R(474,0) { coll( X, Y, Y ), ! coll(
% 30.63/31.01 Y, X, Z ) }.
% 30.63/31.01 parent0: (58059) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := X
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58060) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 30.63/31.01 ) }.
% 30.63/31.01 parent0[1]: (488) {G6,W8,D2,L2,V3,M2} R(474,0) { coll( X, Y, Y ), ! coll( Y
% 30.63/31.01 , X, Z ) }.
% 30.63/31.01 parent1[0]: (488) {G6,W8,D2,L2,V3,M2} R(474,0) { coll( X, Y, Y ), ! coll( Y
% 30.63/31.01 , X, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := X
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (492) {G7,W8,D2,L2,V3,M2} R(488,488) { ! coll( X, Y, Z ), coll
% 30.63/31.01 ( X, Y, Y ) }.
% 30.63/31.01 parent0: (58060) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 1
% 30.63/31.01 1 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58064) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 30.63/31.01 X ), ! coll( X, Y, T ) }.
% 30.63/31.01 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.63/31.01 ), coll( Y, Z, X ) }.
% 30.63/31.01 parent1[1]: (492) {G7,W8,D2,L2,V3,M2} R(488,488) { ! coll( X, Y, Z ), coll
% 30.63/31.01 ( X, Y, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := Y
% 30.63/31.01 T := Y
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (505) {G8,W12,D2,L3,V4,M3} R(492,2) { ! coll( X, Y, Z ), !
% 30.63/31.01 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.63/31.01 parent0: (58064) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.63/31.01 , ! coll( X, Y, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := T
% 30.63/31.01 T := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 1
% 30.63/31.01 1 ==> 2
% 30.63/31.01 2 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 factor: (58067) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.63/31.01 }.
% 30.63/31.01 parent0[0, 1]: (505) {G8,W12,D2,L3,V4,M3} R(492,2) { ! coll( X, Y, Z ), !
% 30.63/31.01 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := Z
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (506) {G9,W8,D2,L2,V3,M2} F(505) { ! coll( X, Y, Z ), coll( Z
% 30.63/31.01 , Y, X ) }.
% 30.63/31.01 parent0: (58067) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58068) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 30.63/31.01 ) }.
% 30.63/31.01 parent0[0]: (506) {G9,W8,D2,L2,V3,M2} F(505) { ! coll( X, Y, Z ), coll( Z,
% 30.63/31.01 Y, X ) }.
% 30.63/31.01 parent1[1]: (492) {G7,W8,D2,L2,V3,M2} R(488,488) { ! coll( X, Y, Z ), coll
% 30.63/31.01 ( X, Y, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Y
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (507) {G10,W8,D2,L2,V3,M2} R(506,492) { coll( X, X, Y ), !
% 30.63/31.01 coll( Y, X, Z ) }.
% 30.63/31.01 parent0: (58068) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58069) {G5,W4,D2,L1,V0,M1} { coll( skol24, skol23, skol22 )
% 30.63/31.01 }.
% 30.63/31.01 parent0[0]: (456) {G5,W8,D2,L2,V1,M2} R(454,2) { ! coll( skol22, skol22, X
% 30.63/31.01 ), coll( skol24, X, skol22 ) }.
% 30.63/31.01 parent1[0]: (422) {G4,W4,D2,L1,V0,M1} R(274,0) { coll( skol22, skol22,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (660) {G6,W4,D2,L1,V0,M1} R(456,422) { coll( skol24, skol23,
% 30.63/31.01 skol22 ) }.
% 30.63/31.01 parent0: (58069) {G5,W4,D2,L1,V0,M1} { coll( skol24, skol23, skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58070) {G7,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol24 )
% 30.63/31.01 }.
% 30.63/31.01 parent0[1]: (507) {G10,W8,D2,L2,V3,M2} R(506,492) { coll( X, X, Y ), ! coll
% 30.63/31.01 ( Y, X, Z ) }.
% 30.63/31.01 parent1[0]: (660) {G6,W4,D2,L1,V0,M1} R(456,422) { coll( skol24, skol23,
% 30.63/31.01 skol22 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := skol24
% 30.63/31.01 Z := skol22
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (670) {G11,W4,D2,L1,V0,M1} R(660,507) { coll( skol23, skol23,
% 30.63/31.01 skol24 ) }.
% 30.63/31.01 parent0: (58070) {G7,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58071) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 30.63/31.01 ), ! para( X, Y, U, W ) }.
% 30.63/31.01 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.63/31.01 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.63/31.01 , Y, U, W, Z, T, U, W ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := Z
% 30.63/31.01 V1 := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := U
% 30.63/31.01 T := W
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (745) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 30.63/31.01 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 30.63/31.01 parent0: (58071) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 30.63/31.01 , ! para( X, Y, U, W ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := U
% 30.63/31.01 T := W
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 1
% 30.63/31.01 1 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58072) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 30.63/31.01 ), ! para( X, Y, U, W ) }.
% 30.63/31.01 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.63/31.01 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.63/31.01 , Y, U, W, Z, T, U, W ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := Z
% 30.63/31.01 V1 := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := U
% 30.63/31.01 T := W
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (747) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.63/31.01 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.63/31.01 parent0: (58072) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 30.63/31.01 , ! para( X, Y, U, W ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := U
% 30.63/31.01 T := W
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 1
% 30.63/31.01 1 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58073) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 30.63/31.01 ), ! para( X, Y, T, Z ) }.
% 30.63/31.01 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.63/31.01 , Y, U, W, Z, T, U, W ) }.
% 30.63/31.01 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 30.63/31.01 T, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := T
% 30.63/31.01 T := Z
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (758) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 30.63/31.01 , Z, T ), ! para( X, Y, W, U ) }.
% 30.63/31.01 parent0: (58073) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 30.63/31.01 , ! para( X, Y, T, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := U
% 30.63/31.01 T := W
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58074) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol23, X, skol23,
% 30.63/31.01 skol24, skol23, X, skol23, skol24 ), cyclic( X, skol24, skol23, skol23 )
% 30.63/31.01 }.
% 30.63/31.01 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.63/31.01 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.63/31.01 parent1[0]: (670) {G11,W4,D2,L1,V0,M1} R(660,507) { coll( skol23, skol23,
% 30.63/31.01 skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := skol24
% 30.63/31.01 Z := skol23
% 30.63/31.01 T := skol23
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (876) {G12,W14,D2,L2,V1,M2} R(42,670) { ! eqangle( skol23, X,
% 30.63/31.01 skol23, skol24, skol23, X, skol23, skol24 ), cyclic( X, skol24, skol23,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 parent0: (58074) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol23, X, skol23,
% 30.63/31.01 skol24, skol23, X, skol23, skol24 ), cyclic( X, skol24, skol23, skol23 )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58075) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.63/31.01 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.63/31.01 cyclic( X, Y, Z, T ) }.
% 30.63/31.01 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.63/31.01 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.63/31.01 ), cong( X, Y, Z, T ) }.
% 30.63/31.01 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 30.63/31.01 Z, X, Z, Y, T, X, T, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := X
% 30.63/31.01 T := Y
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 factor: (58077) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.63/31.01 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.63/31.01 parent0[0, 2]: (58075) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.63/31.01 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.63/31.01 cyclic( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (982) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 30.63/31.01 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.63/31.01 parent0: (58077) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.63/31.01 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 3
% 30.63/31.01 3 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 factor: (58082) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.63/31.01 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.63/31.01 parent0[0, 2]: (982) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 30.63/31.01 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (1014) {G2,W15,D2,L3,V3,M3} F(982) { ! cyclic( X, Y, Z, X ), !
% 30.63/31.01 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.63/31.01 parent0: (58082) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.63/31.01 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 1 ==> 1
% 30.63/31.01 2 ==> 2
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58084) {G6,W5,D2,L1,V0,M1} { para( skol23, skol24, skol23,
% 30.63/31.01 skol24 ) }.
% 30.63/31.01 parent0[0]: (233) {G5,W10,D2,L2,V2,M2} R(5,229) { ! para( X, Y, skol27,
% 30.63/31.01 skol25 ), para( X, Y, skol23, skol24 ) }.
% 30.63/31.01 parent1[0]: (230) {G5,W5,D2,L1,V0,M1} R(229,4) { para( skol23, skol24,
% 30.63/31.01 skol27, skol25 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := skol24
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (16098) {G6,W5,D2,L1,V0,M1} R(233,230) { para( skol23, skol24
% 30.63/31.01 , skol23, skol24 ) }.
% 30.63/31.01 parent0: (58084) {G6,W5,D2,L1,V0,M1} { para( skol23, skol24, skol23,
% 30.63/31.01 skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58085) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol23, skol24, X
% 30.63/31.01 , Y, skol23, skol24 ) }.
% 30.63/31.01 parent0[0]: (747) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.63/31.01 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.63/31.01 parent1[0]: (16098) {G6,W5,D2,L1,V0,M1} R(233,230) { para( skol23, skol24,
% 30.63/31.01 skol23, skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := skol24
% 30.63/31.01 Z := skol23
% 30.63/31.01 T := skol24
% 30.63/31.01 U := X
% 30.63/31.01 W := Y
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (46122) {G7,W9,D2,L1,V2,M1} R(747,16098) { eqangle( X, Y,
% 30.63/31.01 skol23, skol24, X, Y, skol23, skol24 ) }.
% 30.63/31.01 parent0: (58085) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol23, skol24, X, Y
% 30.63/31.01 , skol23, skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58086) {G8,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol23,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 parent0[0]: (876) {G12,W14,D2,L2,V1,M2} R(42,670) { ! eqangle( skol23, X,
% 30.63/31.01 skol23, skol24, skol23, X, skol23, skol24 ), cyclic( X, skol24, skol23,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 parent1[0]: (46122) {G7,W9,D2,L1,V2,M1} R(747,16098) { eqangle( X, Y,
% 30.63/31.01 skol23, skol24, X, Y, skol23, skol24 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (49996) {G13,W5,D2,L1,V1,M1} S(876);r(46122) { cyclic( X,
% 30.63/31.01 skol24, skol23, skol23 ) }.
% 30.63/31.01 parent0: (58086) {G8,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol23, skol23 )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58087) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol23,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 parent0[1]: (380) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.63/31.01 cyclic( Y, X, T, Z ) }.
% 30.63/31.01 parent1[0]: (49996) {G13,W5,D2,L1,V1,M1} S(876);r(46122) { cyclic( X,
% 30.63/31.01 skol24, skol23, skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol24
% 30.63/31.01 Y := X
% 30.63/31.01 Z := skol23
% 30.63/31.01 T := skol23
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (50015) {G14,W5,D2,L1,V1,M1} R(49996,380) { cyclic( skol24, X
% 30.63/31.01 , skol23, skol23 ) }.
% 30.63/31.01 parent0: (58087) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol23, skol23 )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58088) {G3,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol23,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 parent0[0]: (408) {G2,W10,D2,L2,V4,M2} F(399) { ! cyclic( X, Y, Z, T ),
% 30.63/31.01 cyclic( Z, Y, T, T ) }.
% 30.63/31.01 parent1[0]: (50015) {G14,W5,D2,L1,V1,M1} R(49996,380) { cyclic( skol24, X,
% 30.63/31.01 skol23, skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol24
% 30.63/31.01 Y := X
% 30.63/31.01 Z := skol23
% 30.63/31.01 T := skol23
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (50027) {G15,W5,D2,L1,V1,M1} R(50015,408) { cyclic( skol23, X
% 30.63/31.01 , skol23, skol23 ) }.
% 30.63/31.01 parent0: (58088) {G3,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol23, skol23 )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58089) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, X,
% 30.63/31.01 skol23 ) }.
% 30.63/31.01 parent0[1]: (378) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.63/31.01 cyclic( Y, Z, X, T ) }.
% 30.63/31.01 parent1[0]: (50027) {G15,W5,D2,L1,V1,M1} R(50015,408) { cyclic( skol23, X,
% 30.63/31.01 skol23, skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := skol23
% 30.63/31.01 Z := X
% 30.63/31.01 T := skol23
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (50049) {G16,W5,D2,L1,V1,M1} R(50027,378) { cyclic( skol23,
% 30.63/31.01 skol23, X, skol23 ) }.
% 30.63/31.01 parent0: (58089) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, X, skol23 )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58090) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, skol23,
% 30.63/31.01 X ) }.
% 30.63/31.01 parent0[0]: (370) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.63/31.01 cyclic( X, Z, T, Y ) }.
% 30.63/31.01 parent1[0]: (50027) {G15,W5,D2,L1,V1,M1} R(50015,408) { cyclic( skol23, X,
% 30.63/31.01 skol23, skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := X
% 30.63/31.01 Z := skol23
% 30.63/31.01 T := skol23
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (50050) {G16,W5,D2,L1,V1,M1} R(50027,370) { cyclic( skol23,
% 30.63/31.01 skol23, skol23, X ) }.
% 30.63/31.01 parent0: (58090) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, skol23, X )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58092) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol23, skol23,
% 30.63/31.01 skol23, X ), cyclic( skol23, skol23, X, Y ) }.
% 30.63/31.01 parent0[2]: (404) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.63/31.01 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.63/31.01 parent1[0]: (50049) {G16,W5,D2,L1,V1,M1} R(50027,378) { cyclic( skol23,
% 30.63/31.01 skol23, X, skol23 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := skol23
% 30.63/31.01 Z := skol23
% 30.63/31.01 T := X
% 30.63/31.01 U := Y
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58093) {G3,W5,D2,L1,V2,M1} { cyclic( skol23, skol23, X, Y )
% 30.63/31.01 }.
% 30.63/31.01 parent0[0]: (58092) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol23, skol23,
% 30.63/31.01 skol23, X ), cyclic( skol23, skol23, X, Y ) }.
% 30.63/31.01 parent1[0]: (50050) {G16,W5,D2,L1,V1,M1} R(50027,370) { cyclic( skol23,
% 30.63/31.01 skol23, skol23, X ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (50055) {G17,W5,D2,L1,V2,M1} R(50049,404);r(50050) { cyclic(
% 30.63/31.01 skol23, skol23, X, Y ) }.
% 30.63/31.01 parent0: (58093) {G3,W5,D2,L1,V2,M1} { cyclic( skol23, skol23, X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58094) {G2,W10,D2,L2,V3,M2} { cyclic( skol23, X, Y, Z ), !
% 30.63/31.01 cyclic( skol23, skol23, Z, X ) }.
% 30.63/31.01 parent0[0]: (404) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.63/31.01 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.63/31.01 parent1[0]: (50055) {G17,W5,D2,L1,V2,M1} R(50049,404);r(50050) { cyclic(
% 30.63/31.01 skol23, skol23, X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := skol23
% 30.63/31.01 Z := X
% 30.63/31.01 T := Y
% 30.63/31.01 U := Z
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58096) {G3,W5,D2,L1,V3,M1} { cyclic( skol23, X, Y, Z ) }.
% 30.63/31.01 parent0[1]: (58094) {G2,W10,D2,L2,V3,M2} { cyclic( skol23, X, Y, Z ), !
% 30.63/31.01 cyclic( skol23, skol23, Z, X ) }.
% 30.63/31.01 parent1[0]: (50055) {G17,W5,D2,L1,V2,M1} R(50049,404);r(50050) { cyclic(
% 30.63/31.01 skol23, skol23, X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := Z
% 30.63/31.01 Y := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (50078) {G18,W5,D2,L1,V3,M1} R(50055,404);r(50055) { cyclic(
% 30.63/31.01 skol23, X, Y, Z ) }.
% 30.63/31.01 parent0: (58096) {G3,W5,D2,L1,V3,M1} { cyclic( skol23, X, Y, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58097) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.63/31.01 ( skol23, X, T, Y ) }.
% 30.63/31.01 parent0[0]: (404) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.63/31.01 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.63/31.01 parent1[0]: (50078) {G18,W5,D2,L1,V3,M1} R(50055,404);r(50055) { cyclic(
% 30.63/31.01 skol23, X, Y, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := skol23
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Y
% 30.63/31.01 T := Z
% 30.63/31.01 U := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58099) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.63/31.01 parent0[1]: (58097) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.63/31.01 ( skol23, X, T, Y ) }.
% 30.63/31.01 parent1[0]: (50078) {G18,W5,D2,L1,V3,M1} R(50055,404);r(50055) { cyclic(
% 30.63/31.01 skol23, X, Y, Z ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := T
% 30.63/31.01 Z := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (50097) {G19,W5,D2,L1,V4,M1} R(50078,404);r(50078) { cyclic( X
% 30.63/31.01 , Y, Z, T ) }.
% 30.63/31.01 parent0: (58099) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58102) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.63/31.01 , Y, X, Y ) }.
% 30.63/31.01 parent0[0]: (1014) {G2,W15,D2,L3,V3,M3} F(982) { ! cyclic( X, Y, Z, X ), !
% 30.63/31.01 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.63/31.01 parent1[0]: (50097) {G19,W5,D2,L1,V4,M1} R(50078,404);r(50078) { cyclic( X
% 30.63/31.01 , Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58104) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.63/31.01 parent0[0]: (58102) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.63/31.01 , Y, X, Y ) }.
% 30.63/31.01 parent1[0]: (50097) {G19,W5,D2,L1,V4,M1} R(50078,404);r(50078) { cyclic( X
% 30.63/31.01 , Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (57118) {G20,W5,D2,L1,V2,M1} S(1014);r(50097);r(50097) { cong
% 30.63/31.01 ( X, Y, X, Y ) }.
% 30.63/31.01 parent0: (58104) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58105) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.63/31.01 X, Y, Z ) }.
% 30.63/31.01 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 30.63/31.01 T, Y, T ), perp( X, Y, Z, T ) }.
% 30.63/31.01 parent1[0]: (57118) {G20,W5,D2,L1,V2,M1} S(1014);r(50097);r(50097) { cong(
% 30.63/31.01 X, Y, X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Y
% 30.63/31.01 T := Z
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58107) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.63/31.01 parent0[0]: (58105) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.63/31.01 X, Y, Z ) }.
% 30.63/31.01 parent1[0]: (57118) {G20,W5,D2,L1,V2,M1} S(1014);r(50097);r(50097) { cong(
% 30.63/31.01 X, Y, X, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := Y
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (57135) {G21,W5,D2,L1,V3,M1} R(57118,56);r(57118) { perp( X, X
% 30.63/31.01 , Z, Y ) }.
% 30.63/31.01 parent0: (58107) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58108) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.63/31.01 X, T, U ) }.
% 30.63/31.01 parent0[0]: (297) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.63/31.01 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.63/31.01 parent1[0]: (57135) {G21,W5,D2,L1,V3,M1} R(57118,56);r(57118) { perp( X, X
% 30.63/31.01 , Z, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Y
% 30.63/31.01 T := Z
% 30.63/31.01 U := T
% 30.63/31.01 W := U
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := Y
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58110) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.63/31.01 parent0[1]: (58108) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.63/31.01 X, T, U ) }.
% 30.63/31.01 parent1[0]: (57135) {G21,W5,D2,L1,V3,M1} R(57118,56);r(57118) { perp( X, X
% 30.63/31.01 , Z, Y ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := U
% 30.63/31.01 Y := Z
% 30.63/31.01 Z := T
% 30.63/31.01 T := X
% 30.63/31.01 U := Y
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := U
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := X
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (57160) {G22,W5,D2,L1,V4,M1} R(57135,297);r(57135) { para( X,
% 30.63/31.01 Y, Z, T ) }.
% 30.63/31.01 parent0: (58110) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58111) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 30.63/31.01 ) }.
% 30.63/31.01 parent0[1]: (758) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 30.63/31.01 , Z, T ), ! para( X, Y, W, U ) }.
% 30.63/31.01 parent1[0]: (57160) {G22,W5,D2,L1,V4,M1} R(57135,297);r(57135) { para( X, Y
% 30.63/31.01 , Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := W
% 30.63/31.01 T := U
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (57324) {G23,W9,D2,L1,V6,M1} R(57160,758) { eqangle( X, Y, Z,
% 30.63/31.01 T, U, W, Z, T ) }.
% 30.63/31.01 parent0: (58111) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58112) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 30.63/31.01 ) }.
% 30.63/31.01 parent0[0]: (745) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 30.63/31.01 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 30.63/31.01 parent1[0]: (57160) {G22,W5,D2,L1,V4,M1} R(57135,297);r(57135) { para( X, Y
% 30.63/31.01 , Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (57326) {G23,W9,D2,L1,V6,M1} R(57160,745) { eqangle( X, Y, Z,
% 30.63/31.01 T, U, W, U, W ) }.
% 30.63/31.01 parent0: (58112) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58113) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 30.63/31.01 ) }.
% 30.63/31.01 parent0[0]: (448) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 30.63/31.01 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 30.63/31.01 parent1[0]: (57324) {G23,W9,D2,L1,V6,M1} R(57160,758) { eqangle( X, Y, Z, T
% 30.63/31.01 , U, W, Z, T ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := Z
% 30.63/31.01 V1 := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (57505) {G24,W9,D2,L1,V6,M1} R(57324,448) { eqangle( X, Y, X,
% 30.63/31.01 Y, Z, T, U, W ) }.
% 30.63/31.01 parent0: (58113) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := Z
% 30.63/31.01 Y := T
% 30.63/31.01 Z := X
% 30.63/31.01 T := Y
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58114) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 30.63/31.01 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 30.63/31.01 parent0[0]: (468) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U
% 30.63/31.01 , W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2
% 30.63/31.01 , V4, V5, X, Y, Z, T ) }.
% 30.63/31.01 parent1[0]: (57505) {G24,W9,D2,L1,V6,M1} R(57324,448) { eqangle( X, Y, X, Y
% 30.63/31.01 , Z, T, U, W ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := X
% 30.63/31.01 T := Y
% 30.63/31.01 U := Z
% 30.63/31.01 W := T
% 30.63/31.01 V0 := U
% 30.63/31.01 V1 := W
% 30.63/31.01 V2 := V0
% 30.63/31.01 V3 := V1
% 30.63/31.01 V4 := V2
% 30.63/31.01 V5 := V3
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58116) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 30.63/31.01 V1 ) }.
% 30.63/31.01 parent0[1]: (58114) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 30.63/31.01 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 30.63/31.01 parent1[0]: (57326) {G23,W9,D2,L1,V6,M1} R(57160,745) { eqangle( X, Y, Z, T
% 30.63/31.01 , U, W, U, W ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := V2
% 30.63/31.01 Y := V3
% 30.63/31.01 Z := U
% 30.63/31.01 T := W
% 30.63/31.01 U := V0
% 30.63/31.01 W := V1
% 30.63/31.01 V0 := X
% 30.63/31.01 V1 := Y
% 30.63/31.01 V2 := Z
% 30.63/31.01 V3 := T
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := Y
% 30.63/31.01 Y := X
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := V2
% 30.63/31.01 W := V3
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (57507) {G25,W9,D2,L1,V8,M1} R(57505,468);r(57326) { eqangle(
% 30.63/31.01 X, Y, Z, T, U, W, V0, V1 ) }.
% 30.63/31.01 parent0: (58116) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 30.63/31.01 }.
% 30.63/31.01 substitution0:
% 30.63/31.01 X := X
% 30.63/31.01 Y := Y
% 30.63/31.01 Z := Z
% 30.63/31.01 T := T
% 30.63/31.01 U := U
% 30.63/31.01 W := W
% 30.63/31.01 V0 := V0
% 30.63/31.01 V1 := V1
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 0 ==> 0
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 resolution: (58117) {G1,W0,D0,L0,V0,M0} { }.
% 30.63/31.01 parent0[0]: (122) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol24, skol23, skol23
% 30.63/31.01 , skol20, skol23, skol22, skol22, skol20 ) }.
% 30.63/31.01 parent1[0]: (57507) {G25,W9,D2,L1,V8,M1} R(57505,468);r(57326) { eqangle( X
% 30.63/31.01 , Y, Z, T, U, W, V0, V1 ) }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 substitution1:
% 30.63/31.01 X := skol24
% 30.63/31.01 Y := skol23
% 30.63/31.01 Z := skol23
% 30.63/31.01 T := skol20
% 30.63/31.01 U := skol23
% 30.63/31.01 W := skol22
% 30.63/31.01 V0 := skol22
% 30.63/31.01 V1 := skol20
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 subsumption: (57508) {G26,W0,D0,L0,V0,M0} R(57507,122) { }.
% 30.63/31.01 parent0: (58117) {G1,W0,D0,L0,V0,M0} { }.
% 30.63/31.01 substitution0:
% 30.63/31.01 end
% 30.63/31.01 permutation0:
% 30.63/31.01 end
% 30.63/31.01
% 30.63/31.01 Proof check complete!
% 30.63/31.01
% 30.63/31.01 Memory use:
% 30.63/31.01
% 30.63/31.01 space for terms: 798898
% 30.63/31.01 space for clauses: 2377707
% 30.63/31.01
% 30.63/31.01
% 30.63/31.01 clauses generated: 622342
% 30.63/31.01 clauses kept: 57509
% 30.63/31.01 clauses selected: 3248
% 30.63/31.01 clauses deleted: 15858
% 30.63/31.01 clauses inuse deleted: 3032
% 30.63/31.01
% 30.63/31.01 subsentry: 34805518
% 30.63/31.01 literals s-matched: 18940050
% 30.63/31.01 literals matched: 10817667
% 30.63/31.01 full subsumption: 2753625
% 30.63/31.01
% 30.63/31.01 checksum: -1410049111
% 30.63/31.01
% 30.63/31.01
% 30.63/31.01 Bliksem ended
%------------------------------------------------------------------------------