%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO646+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:20 EDT 2022
% Result : Theorem 32.97s 33.45s
% Output : Refutation 32.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : GEO646+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.15 % Command : bliksem %s
% 0.14/0.37 % Computer : n011.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % DateTime : Sat Jun 18 16:19:53 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.75/1.21 *** allocated 10000 integers for termspace/termends
% 0.75/1.21 *** allocated 10000 integers for clauses
% 0.75/1.21 *** allocated 10000 integers for justifications
% 0.75/1.21 Bliksem 1.12
% 0.75/1.21
% 0.75/1.21
% 0.75/1.21 Automatic Strategy Selection
% 0.75/1.21
% 0.75/1.21 *** allocated 15000 integers for termspace/termends
% 0.75/1.21
% 0.75/1.21 Clauses:
% 0.75/1.21
% 0.75/1.21 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.75/1.21 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.75/1.21 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.75/1.21 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.75/1.21 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.75/1.21 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.21 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.75/1.21 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.75/1.21 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.21 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.75/1.21 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.75/1.21 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.75/1.21 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.75/1.21 ( X, Y, Z, T ) }.
% 0.75/1.21 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.75/1.21 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.75/1.21 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.75/1.21 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.75/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.75/1.21 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.21 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.75/1.21 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.75/1.21 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.75/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.75/1.21 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.21 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.21 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.21 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.21 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.75/1.21 ( X, Y, Z, T, U, W ) }.
% 0.75/1.21 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.21 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.21 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.21 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.75/1.21 ( X, Y, Z, T, U, W ) }.
% 0.75/1.21 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.75/1.21 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.75/1.21 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.75/1.21 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.75/1.21 T ) }.
% 0.75/1.21 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.75/1.21 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.75/1.21 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.75/1.21 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.75/1.21 ) }.
% 0.75/1.21 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.75/1.21 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.75/1.21 }.
% 0.75/1.21 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.75/1.21 Z, Y ) }.
% 0.75/1.21 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.75/1.21 X, Z ) }.
% 0.75/1.21 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.75/1.21 U ) }.
% 0.75/1.21 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.75/1.21 , Z ), midp( Z, X, Y ) }.
% 0.75/1.21 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.75/1.21 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.75/1.21 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.75/1.21 Z, Y ) }.
% 0.75/1.21 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.75/1.21 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.75/1.21 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.75/1.21 ( Y, X, X, Z ) }.
% 0.75/1.21 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.75/1.21 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.21 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.75/1.21 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.75/1.21 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.75/1.21 , W ) }.
% 0.75/1.21 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.75/1.21 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.75/1.21 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.75/1.21 , Y ) }.
% 0.75/1.21 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.75/1.21 , X, Z, U, Y, Y, T ) }.
% 0.75/1.21 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.75/1.21 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.75/1.21 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.75/1.21 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.75/1.21 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.75/1.21 .
% 0.75/1.21 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.75/1.21 ) }.
% 0.75/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.75/1.21 , Z, T ) }.
% 0.75/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.75/1.21 , Z, T ) }.
% 0.75/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.75/1.21 , Z, T ) }.
% 0.75/1.21 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.75/1.21 , W, Z, T ), Z, T ) }.
% 0.75/1.21 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.75/1.21 , Y, Z, T ), X, Y ) }.
% 0.75/1.21 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.75/1.21 , W, Z, T ), Z, T ) }.
% 0.75/1.21 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.21 skol2( X, Y, Z, T ) ) }.
% 0.75/1.21 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.75/1.21 , W, Z, T ), Z, T ) }.
% 0.75/1.21 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.21 skol3( X, Y, Z, T ) ) }.
% 0.75/1.21 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.75/1.21 , T ) }.
% 0.75/1.21 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.75/1.21 ) ) }.
% 0.75/1.21 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.75/1.21 skol5( W, Y, Z, T ) ) }.
% 0.75/1.21 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.75/1.21 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.75/1.21 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.75/1.21 , X, T ) }.
% 0.75/1.21 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.75/1.21 W, X, Z ) }.
% 0.75/1.21 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.75/1.21 , Y, T ) }.
% 0.75/1.21 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.75/1.21 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.75/1.21 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.21 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.75/1.21 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.21 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.75/1.21 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.75/1.21 Z, T ) ) }.
% 0.75/1.21 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.75/1.21 , T ) ) }.
% 0.75/1.21 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.75/1.21 , X, Y ) }.
% 0.75/1.21 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.75/1.21 ) }.
% 0.75/1.21 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.75/1.21 , Y ) }.
% 0.75/1.21 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.75/1.21 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.75/1.21 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.75/1.21 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.75/1.21 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.09/4.55 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.09/4.55 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.09/4.55 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.09/4.55 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.09/4.55 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.09/4.55 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.09/4.55 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.09/4.55 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.09/4.55 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.09/4.55 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.09/4.55 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.09/4.55 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.09/4.55 X, Y, Z ) }.
% 4.09/4.55 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.09/4.55 }.
% 4.09/4.55 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.09/4.55 ) }.
% 4.09/4.55 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.09/4.55 skol17( X, Y ), X, Y ) }.
% 4.09/4.55 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.09/4.55 }.
% 4.09/4.55 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.09/4.55 ) }.
% 4.09/4.55 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.09/4.55 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.09/4.55 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.09/4.55 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.09/4.55 { circle( skol25, skol20, skol26, skol27 ) }.
% 4.09/4.55 { perp( skol25, skol20, skol20, skol28 ) }.
% 4.09/4.55 { circle( skol25, skol20, skol29, skol30 ) }.
% 4.09/4.55 { perp( skol25, skol29, skol29, skol28 ) }.
% 4.09/4.55 { circle( skol25, skol20, skol22, skol31 ) }.
% 4.09/4.55 { coll( skol23, skol28, skol22 ) }.
% 4.09/4.55 { circle( skol25, skol20, skol23, skol32 ) }.
% 4.09/4.55 { midp( skol33, skol22, skol23 ) }.
% 4.09/4.55 { coll( skol29, skol33, skol24 ) }.
% 4.09/4.55 { circle( skol25, skol29, skol24, skol34 ) }.
% 4.09/4.55 { ! para( skol22, skol23, skol20, skol24 ) }.
% 4.09/4.55
% 4.09/4.55 percentage equality = 0.008696, percentage horn = 0.929134
% 4.09/4.55 This is a problem with some equality
% 4.09/4.55
% 4.09/4.55
% 4.09/4.55
% 4.09/4.55 Options Used:
% 4.09/4.55
% 4.09/4.55 useres = 1
% 4.09/4.55 useparamod = 1
% 4.09/4.55 useeqrefl = 1
% 4.09/4.55 useeqfact = 1
% 4.09/4.55 usefactor = 1
% 4.09/4.55 usesimpsplitting = 0
% 4.09/4.55 usesimpdemod = 5
% 4.09/4.55 usesimpres = 3
% 4.09/4.55
% 4.09/4.55 resimpinuse = 1000
% 4.09/4.55 resimpclauses = 20000
% 4.09/4.55 substype = eqrewr
% 4.09/4.55 backwardsubs = 1
% 4.09/4.55 selectoldest = 5
% 4.09/4.55
% 4.09/4.55 litorderings [0] = split
% 4.09/4.55 litorderings [1] = extend the termordering, first sorting on arguments
% 4.09/4.55
% 4.09/4.55 termordering = kbo
% 4.09/4.55
% 4.09/4.55 litapriori = 0
% 4.09/4.55 termapriori = 1
% 4.09/4.55 litaposteriori = 0
% 4.09/4.55 termaposteriori = 0
% 4.09/4.55 demodaposteriori = 0
% 4.09/4.55 ordereqreflfact = 0
% 4.09/4.55
% 4.09/4.55 litselect = negord
% 4.09/4.55
% 4.09/4.55 maxweight = 15
% 4.09/4.55 maxdepth = 30000
% 4.09/4.55 maxlength = 115
% 4.09/4.55 maxnrvars = 195
% 4.09/4.55 excuselevel = 1
% 4.09/4.55 increasemaxweight = 1
% 4.09/4.55
% 4.09/4.55 maxselected = 10000000
% 4.09/4.55 maxnrclauses = 10000000
% 4.09/4.55
% 4.09/4.55 showgenerated = 0
% 4.09/4.55 showkept = 0
% 4.09/4.55 showselected = 0
% 4.09/4.55 showdeleted = 0
% 4.09/4.55 showresimp = 1
% 4.09/4.55 showstatus = 2000
% 4.09/4.55
% 4.09/4.55 prologoutput = 0
% 4.09/4.55 nrgoals = 5000000
% 4.09/4.55 totalproof = 1
% 4.09/4.55
% 4.09/4.55 Symbols occurring in the translation:
% 4.09/4.55
% 4.09/4.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.09/4.55 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 4.09/4.55 ! [4, 1] (w:0, o:44, a:1, s:1, b:0),
% 4.09/4.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.09/4.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.09/4.55 coll [38, 3] (w:1, o:77, a:1, s:1, b:0),
% 4.09/4.55 para [40, 4] (w:1, o:85, a:1, s:1, b:0),
% 4.09/4.55 perp [43, 4] (w:1, o:86, a:1, s:1, b:0),
% 4.09/4.55 midp [45, 3] (w:1, o:78, a:1, s:1, b:0),
% 4.09/4.55 cong [47, 4] (w:1, o:87, a:1, s:1, b:0),
% 4.09/4.55 circle [48, 4] (w:1, o:88, a:1, s:1, b:0),
% 4.09/4.55 cyclic [49, 4] (w:1, o:89, a:1, s:1, b:0),
% 4.09/4.55 eqangle [54, 8] (w:1, o:104, a:1, s:1, b:0),
% 4.09/4.55 eqratio [57, 8] (w:1, o:105, a:1, s:1, b:0),
% 4.09/4.55 simtri [59, 6] (w:1, o:101, a:1, s:1, b:0),
% 4.09/4.55 contri [60, 6] (w:1, o:102, a:1, s:1, b:0),
% 4.09/4.55 alpha1 [70, 3] (w:1, o:79, a:1, s:1, b:1),
% 4.09/4.55 alpha2 [71, 4] (w:1, o:90, a:1, s:1, b:1),
% 4.09/4.55 skol1 [72, 4] (w:1, o:91, a:1, s:1, b:1),
% 4.09/4.55 skol2 [73, 4] (w:1, o:93, a:1, s:1, b:1),
% 4.09/4.55 skol3 [74, 4] (w:1, o:95, a:1, s:1, b:1),
% 4.09/4.55 skol4 [75, 4] (w:1, o:96, a:1, s:1, b:1),
% 32.97/33.44 skol5 [76, 4] (w:1, o:97, a:1, s:1, b:1),
% 32.97/33.44 skol6 [77, 6] (w:1, o:103, a:1, s:1, b:1),
% 32.97/33.44 skol7 [78, 2] (w:1, o:73, a:1, s:1, b:1),
% 32.97/33.44 skol8 [79, 4] (w:1, o:98, a:1, s:1, b:1),
% 32.97/33.44 skol9 [80, 4] (w:1, o:99, a:1, s:1, b:1),
% 32.97/33.44 skol10 [81, 3] (w:1, o:80, a:1, s:1, b:1),
% 32.97/33.44 skol11 [82, 3] (w:1, o:81, a:1, s:1, b:1),
% 32.97/33.44 skol12 [83, 2] (w:1, o:74, a:1, s:1, b:1),
% 32.97/33.44 skol13 [84, 5] (w:1, o:100, a:1, s:1, b:1),
% 32.97/33.44 skol14 [85, 3] (w:1, o:82, a:1, s:1, b:1),
% 32.97/33.44 skol15 [86, 3] (w:1, o:83, a:1, s:1, b:1),
% 32.97/33.44 skol16 [87, 3] (w:1, o:84, a:1, s:1, b:1),
% 32.97/33.44 skol17 [88, 2] (w:1, o:75, a:1, s:1, b:1),
% 32.97/33.44 skol18 [89, 2] (w:1, o:76, a:1, s:1, b:1),
% 32.97/33.44 skol19 [90, 4] (w:1, o:92, a:1, s:1, b:1),
% 32.97/33.44 skol20 [91, 0] (w:1, o:30, a:1, s:1, b:1),
% 32.97/33.44 skol21 [92, 4] (w:1, o:94, a:1, s:1, b:1),
% 32.97/33.44 skol22 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 32.97/33.44 skol23 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 32.97/33.44 skol24 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 32.97/33.44 skol25 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 32.97/33.44 skol26 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 32.97/33.44 skol27 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 32.97/33.44 skol28 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 32.97/33.44 skol29 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 32.97/33.44 skol30 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 32.97/33.44 skol31 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 32.97/33.44 skol32 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 32.97/33.44 skol33 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 32.97/33.44 skol34 [105, 0] (w:1, o:43, a:1, s:1, b:1).
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Starting Search:
% 32.97/33.44
% 32.97/33.44 *** allocated 15000 integers for clauses
% 32.97/33.44 *** allocated 22500 integers for clauses
% 32.97/33.44 *** allocated 33750 integers for clauses
% 32.97/33.44 *** allocated 22500 integers for termspace/termends
% 32.97/33.44 *** allocated 50625 integers for clauses
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 75937 integers for clauses
% 32.97/33.44 *** allocated 33750 integers for termspace/termends
% 32.97/33.44 *** allocated 113905 integers for clauses
% 32.97/33.44 *** allocated 50625 integers for termspace/termends
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 10912
% 32.97/33.44 Kept: 2018
% 32.97/33.44 Inuse: 336
% 32.97/33.44 Deleted: 0
% 32.97/33.44 Deletedinuse: 0
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 170857 integers for clauses
% 32.97/33.44 *** allocated 75937 integers for termspace/termends
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 256285 integers for clauses
% 32.97/33.44 *** allocated 113905 integers for termspace/termends
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 23536
% 32.97/33.44 Kept: 4029
% 32.97/33.44 Inuse: 471
% 32.97/33.44 Deleted: 0
% 32.97/33.44 Deletedinuse: 0
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 384427 integers for clauses
% 32.97/33.44 *** allocated 170857 integers for termspace/termends
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 35923
% 32.97/33.44 Kept: 6042
% 32.97/33.44 Inuse: 542
% 32.97/33.44 Deleted: 0
% 32.97/33.44 Deletedinuse: 0
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 576640 integers for clauses
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 49233
% 32.97/33.44 Kept: 8045
% 32.97/33.44 Inuse: 688
% 32.97/33.44 Deleted: 1
% 32.97/33.44 Deletedinuse: 0
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 256285 integers for termspace/termends
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 60530
% 32.97/33.44 Kept: 10066
% 32.97/33.44 Inuse: 912
% 32.97/33.44 Deleted: 740
% 32.97/33.44 Deletedinuse: 486
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 864960 integers for clauses
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 70926
% 32.97/33.44 Kept: 12073
% 32.97/33.44 Inuse: 1101
% 32.97/33.44 Deleted: 741
% 32.97/33.44 Deletedinuse: 486
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 79585
% 32.97/33.44 Kept: 14078
% 32.97/33.44 Inuse: 1251
% 32.97/33.44 Deleted: 745
% 32.97/33.44 Deletedinuse: 486
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 384427 integers for termspace/termends
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 90810
% 32.97/33.44 Kept: 16083
% 32.97/33.44 Inuse: 1482
% 32.97/33.44 Deleted: 760
% 32.97/33.44 Deletedinuse: 486
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 1297440 integers for clauses
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 101798
% 32.97/33.44 Kept: 18088
% 32.97/33.44 Inuse: 1654
% 32.97/33.44 Deleted: 774
% 32.97/33.44 Deletedinuse: 486
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying clauses:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 113058
% 32.97/33.44 Kept: 20145
% 32.97/33.44 Inuse: 1865
% 32.97/33.44 Deleted: 6193
% 32.97/33.44 Deletedinuse: 486
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 123041
% 32.97/33.44 Kept: 22148
% 32.97/33.44 Inuse: 2015
% 32.97/33.44 Deleted: 6197
% 32.97/33.44 Deletedinuse: 490
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 132560
% 32.97/33.44 Kept: 24164
% 32.97/33.44 Inuse: 2120
% 32.97/33.44 Deleted: 6206
% 32.97/33.44 Deletedinuse: 499
% 32.97/33.44
% 32.97/33.44 *** allocated 576640 integers for termspace/termends
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 1946160 integers for clauses
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 153258
% 32.97/33.44 Kept: 26170
% 32.97/33.44 Inuse: 2290
% 32.97/33.44 Deleted: 6212
% 32.97/33.44 Deletedinuse: 504
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 162627
% 32.97/33.44 Kept: 28179
% 32.97/33.44 Inuse: 2347
% 32.97/33.44 Deleted: 6213
% 32.97/33.44 Deletedinuse: 505
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 167721
% 32.97/33.44 Kept: 30185
% 32.97/33.44 Inuse: 2400
% 32.97/33.44 Deleted: 6218
% 32.97/33.44 Deletedinuse: 505
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 179648
% 32.97/33.44 Kept: 32186
% 32.97/33.44 Inuse: 2517
% 32.97/33.44 Deleted: 6218
% 32.97/33.44 Deletedinuse: 505
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 192434
% 32.97/33.44 Kept: 34193
% 32.97/33.44 Inuse: 2638
% 32.97/33.44 Deleted: 6219
% 32.97/33.44 Deletedinuse: 505
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 211988
% 32.97/33.44 Kept: 36266
% 32.97/33.44 Inuse: 2777
% 32.97/33.44 Deleted: 6222
% 32.97/33.44 Deletedinuse: 505
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 *** allocated 2919240 integers for clauses
% 32.97/33.44 *** allocated 864960 integers for termspace/termends
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 222771
% 32.97/33.44 Kept: 38515
% 32.97/33.44 Inuse: 2832
% 32.97/33.44 Deleted: 6222
% 32.97/33.44 Deletedinuse: 505
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying clauses:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.44 Generated: 246475
% 32.97/33.44 Kept: 40538
% 32.97/33.44 Inuse: 2947
% 32.97/33.44 Deleted: 7197
% 32.97/33.44 Deletedinuse: 505
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44 Resimplifying inuse:
% 32.97/33.44 Done
% 32.97/33.44
% 32.97/33.44
% 32.97/33.44 Intermediate Status:
% 32.97/33.45 Generated: 253535
% 32.97/33.45 Kept: 42542
% 32.97/33.45 Inuse: 2994
% 32.97/33.45 Deleted: 7197
% 32.97/33.45 Deletedinuse: 505
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Intermediate Status:
% 32.97/33.45 Generated: 271654
% 32.97/33.45 Kept: 44796
% 32.97/33.45 Inuse: 3077
% 32.97/33.45 Deleted: 7236
% 32.97/33.45 Deletedinuse: 544
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Intermediate Status:
% 32.97/33.45 Generated: 294044
% 32.97/33.45 Kept: 46921
% 32.97/33.45 Inuse: 3192
% 32.97/33.45 Deleted: 7238
% 32.97/33.45 Deletedinuse: 546
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Intermediate Status:
% 32.97/33.45 Generated: 302244
% 32.97/33.45 Kept: 48921
% 32.97/33.45 Inuse: 3236
% 32.97/33.45 Deleted: 7238
% 32.97/33.45 Deletedinuse: 546
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Intermediate Status:
% 32.97/33.45 Generated: 335385
% 32.97/33.45 Kept: 50922
% 32.97/33.45 Inuse: 3459
% 32.97/33.45 Deleted: 7238
% 32.97/33.45 Deletedinuse: 546
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Intermediate Status:
% 32.97/33.45 Generated: 359702
% 32.97/33.45 Kept: 52945
% 32.97/33.45 Inuse: 3631
% 32.97/33.45 Deleted: 7239
% 32.97/33.45 Deletedinuse: 547
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Intermediate Status:
% 32.97/33.45 Generated: 368552
% 32.97/33.45 Kept: 55177
% 32.97/33.45 Inuse: 3662
% 32.97/33.45 Deleted: 7239
% 32.97/33.45 Deletedinuse: 547
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 *** allocated 4378860 integers for clauses
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Intermediate Status:
% 32.97/33.45 Generated: 376673
% 32.97/33.45 Kept: 57285
% 32.97/33.45 Inuse: 3687
% 32.97/33.45 Deleted: 7239
% 32.97/33.45 Deletedinuse: 547
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 *** allocated 1297440 integers for termspace/termends
% 32.97/33.45
% 32.97/33.45 Intermediate Status:
% 32.97/33.45 Generated: 407951
% 32.97/33.45 Kept: 59290
% 32.97/33.45 Inuse: 3752
% 32.97/33.45 Deleted: 7784
% 32.97/33.45 Deletedinuse: 1077
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 Resimplifying clauses:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45 Resimplifying inuse:
% 32.97/33.45 Done
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Bliksems!, er is een bewijs:
% 32.97/33.45 % SZS status Theorem
% 32.97/33.45 % SZS output start Refutation
% 32.97/33.45
% 32.97/33.45 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 32.97/33.45 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 32.97/33.45 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 32.97/33.45 , Z, X ) }.
% 32.97/33.45 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 32.97/33.45 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 32.97/33.45 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 32.97/33.45 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 32.97/33.45 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 32.97/33.45 para( X, Y, Z, T ) }.
% 32.97/33.45 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 32.97/33.45 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 32.97/33.45 circle( T, X, Y, Z ) }.
% 32.97/33.45 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 32.97/33.45 }.
% 32.97/33.45 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 32.97/33.45 }.
% 32.97/33.45 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 32.97/33.45 }.
% 32.97/33.45 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 32.97/33.45 ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 32.97/33.45 cong( X, Y, Z, T ) }.
% 32.97/33.45 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 32.97/33.45 , T, U, W ) }.
% 32.97/33.45 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 32.97/33.45 T, X, T, Y ) }.
% 32.97/33.45 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 32.97/33.45 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 32.97/33.45 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 32.97/33.45 , Y, Z, T ) }.
% 32.97/33.45 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 32.97/33.45 perp( X, Y, Y, Z ) }.
% 32.97/33.45 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 32.97/33.45 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 32.97/33.45 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 32.97/33.45 , Z, Y, T ) }.
% 32.97/33.45 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 32.97/33.45 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 32.97/33.45 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 32.97/33.45 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 32.97/33.45 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 32.97/33.45 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 32.97/33.45 (121) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol28, skol22 ) }.
% 32.97/33.45 (123) {G0,W4,D2,L1,V0,M1} I { midp( skol33, skol22, skol23 ) }.
% 32.97/33.45 (126) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol23, skol20, skol24 ) }.
% 32.97/33.45 (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 32.97/33.45 ) }.
% 32.97/33.45 (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 32.97/33.45 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 32.97/33.45 (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 32.97/33.45 (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 32.97/33.45 (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 32.97/33.45 coll( Z, X, T ) }.
% 32.97/33.45 (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 32.97/33.45 (210) {G1,W5,D2,L1,V0,M1} R(3,126) { ! para( skol22, skol23, skol24, skol20
% 32.97/33.45 ) }.
% 32.97/33.45 (213) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 32.97/33.45 ) }.
% 32.97/33.45 (240) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 32.97/33.45 coll( X, Z, T ) }.
% 32.97/33.45 (251) {G3,W4,D2,L1,V0,M1} R(198,121) { coll( skol22, skol23, skol22 ) }.
% 32.97/33.45 (253) {G4,W8,D2,L2,V3,M2} F(240) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 32.97/33.45 (264) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 32.97/33.45 ) }.
% 32.97/33.45 (291) {G2,W10,D2,L2,V2,M2} R(8,210) { ! perp( skol22, skol23, X, Y ), !
% 32.97/33.45 perp( X, Y, skol24, skol20 ) }.
% 32.97/33.45 (324) {G1,W4,D2,L1,V0,M1} R(10,123) { midp( skol33, skol23, skol22 ) }.
% 32.97/33.45 (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 32.97/33.45 , T, Y ) }.
% 32.97/33.45 (360) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 32.97/33.45 , X, T ) }.
% 32.97/33.45 (361) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 32.97/33.45 , X, T ) }.
% 32.97/33.45 (372) {G4,W4,D2,L1,V0,M1} R(251,0) { coll( skol22, skol22, skol23 ) }.
% 32.97/33.45 (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 32.97/33.45 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 32.97/33.45 (474) {G5,W8,D2,L2,V3,M2} R(253,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 32.97/33.45 (479) {G6,W8,D2,L2,V3,M2} R(474,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 32.97/33.45 (480) {G6,W8,D2,L2,V3,M2} R(474,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 32.97/33.45 (492) {G7,W8,D2,L2,V3,M2} R(480,480) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 32.97/33.45 }.
% 32.97/33.45 (495) {G8,W12,D2,L3,V4,M3} R(492,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 32.97/33.45 , coll( T, Y, X ) }.
% 32.97/33.45 (496) {G9,W8,D2,L2,V3,M2} F(495) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 32.97/33.45 (500) {G10,W8,D2,L2,V3,M2} R(496,479) { coll( X, X, Y ), ! coll( Z, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 (546) {G2,W8,D2,L2,V3,M2} R(69,168) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 (553) {G11,W8,D2,L2,V3,M2} R(69,500) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 32.97/33.45 }.
% 32.97/33.45 (572) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 32.97/33.45 (573) {G1,W4,D2,L1,V0,M1} R(69,123) { coll( skol33, skol22, skol23 ) }.
% 32.97/33.45 (628) {G2,W8,D2,L2,V1,M2} R(573,2) { ! coll( skol33, skol22, X ), coll(
% 32.97/33.45 skol23, X, skol33 ) }.
% 32.97/33.45 (699) {G3,W8,D2,L2,V1,M2} R(628,169) { coll( skol23, X, skol33 ), ! coll( X
% 32.97/33.45 , skol33, skol22 ) }.
% 32.97/33.45 (818) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 32.97/33.45 ), ! para( X, Z, X, Z ) }.
% 32.97/33.45 (916) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 32.97/33.45 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 32.97/33.45 (948) {G2,W15,D2,L3,V3,M3} F(916) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 32.97/33.45 , Z, Y ), cong( X, Y, X, Y ) }.
% 32.97/33.45 (1612) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z
% 32.97/33.45 , T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong( U, W, Z, T )
% 32.97/33.45 }.
% 32.97/33.45 (1703) {G4,W8,D2,L2,V1,M2} R(699,169) { ! coll( X, skol33, skol22 ), coll(
% 32.97/33.45 X, skol33, skol23 ) }.
% 32.97/33.45 (1721) {G5,W12,D2,L3,V2,M3} R(1703,2) { ! coll( X, skol33, skol22 ), ! coll
% 32.97/33.45 ( X, skol33, Y ), coll( skol23, Y, X ) }.
% 32.97/33.45 (1726) {G6,W8,D2,L2,V1,M2} F(1721) { ! coll( X, skol33, skol22 ), coll(
% 32.97/33.45 skol23, skol22, X ) }.
% 32.97/33.45 (1850) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 32.97/33.45 ), ! midp( X, U, T ) }.
% 32.97/33.45 (1866) {G2,W9,D2,L2,V3,M2} F(1850) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 (2383) {G1,W5,D2,L1,V0,M1} R(68,123) { cong( skol33, skol22, skol33, skol23
% 32.97/33.45 ) }.
% 32.97/33.45 (2754) {G7,W8,D2,L2,V1,M2} R(1726,572) { coll( skol23, skol22, X ), ! midp
% 32.97/33.45 ( skol33, X, skol22 ) }.
% 32.97/33.45 (2757) {G7,W8,D2,L2,V1,M2} R(1726,546) { coll( skol23, skol22, X ), ! midp
% 32.97/33.45 ( skol33, skol22, X ) }.
% 32.97/33.45 (2780) {G8,W8,D2,L2,V1,M2} R(2754,0) { ! midp( skol33, X, skol22 ), coll(
% 32.97/33.45 skol23, X, skol22 ) }.
% 32.97/33.45 (7026) {G2,W5,D2,L1,V0,M1} R(129,2383) { circle( skol33, skol22, skol23,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 (7036) {G3,W5,D2,L1,V0,M1} R(7026,53);r(573) { perp( skol22, skol23, skol23
% 32.97/33.45 , skol23 ) }.
% 32.97/33.45 (7058) {G4,W5,D2,L1,V0,M1} R(7036,7) { perp( skol23, skol23, skol22, skol23
% 32.97/33.45 ) }.
% 32.97/33.45 (7073) {G5,W5,D2,L1,V0,M1} R(7058,6) { perp( skol23, skol23, skol23, skol22
% 32.97/33.45 ) }.
% 32.97/33.45 (7088) {G6,W12,D3,L2,V2,M2} R(7073,110) { ! coll( skol22, X, Y ), perp(
% 32.97/33.45 skol16( skol23, X, Y ), skol23, X, Y ) }.
% 32.97/33.45 (7869) {G8,W14,D3,L3,V2,M3} R(149,2757);r(372) { ! midp( X, skol22, skol23
% 32.97/33.45 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol33, skol22, skol23
% 32.97/33.45 ) }.
% 32.97/33.45 (7880) {G9,W14,D3,L3,V2,M3} R(149,2780);r(251) { ! midp( X, skol23, skol22
% 32.97/33.45 ), midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol33, skol23, skol22
% 32.97/33.45 ) }.
% 32.97/33.45 (7964) {G10,W6,D3,L1,V1,M1} F(7880);r(324) { midp( skol7( skol23, X ),
% 32.97/33.45 skol23, X ) }.
% 32.97/33.45 (7965) {G9,W6,D3,L1,V1,M1} F(7869);r(123) { midp( skol7( skol22, X ),
% 32.97/33.45 skol22, X ) }.
% 32.97/33.45 (8017) {G12,W4,D2,L1,V1,M1} R(7965,553) { coll( skol22, skol22, X ) }.
% 32.97/33.45 (8076) {G13,W4,D2,L1,V2,M1} R(8017,2);r(8017) { coll( Y, X, skol22 ) }.
% 32.97/33.45 (8101) {G14,W4,D2,L1,V2,M1} R(8076,169) { coll( X, skol22, Y ) }.
% 32.97/33.45 (8114) {G15,W4,D2,L1,V3,M1} R(8101,2);r(8101) { coll( Z, Y, X ) }.
% 32.97/33.45 (8190) {G11,W6,D3,L1,V1,M1} R(7964,10) { midp( skol7( skol23, X ), X,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 (8206) {G16,W10,D3,L2,V2,M2} R(8190,149);r(8114) { ! coll( skol23, X,
% 32.97/33.45 skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 32.97/33.45 (20002) {G17,W6,D3,L1,V2,M1} S(8206);r(8114) { midp( skol7( X, Y ), X, Y )
% 32.97/33.45 }.
% 32.97/33.45 (20006) {G16,W8,D3,L1,V2,M1} S(7088);r(8114) { perp( skol16( skol23, X, Y )
% 32.97/33.45 , skol23, X, Y ) }.
% 32.97/33.45 (20138) {G16,W10,D2,L2,V3,M2} S(818);r(8114) { cyclic( Z, Y, X, X ), ! para
% 32.97/33.45 ( X, Z, X, Z ) }.
% 32.97/33.45 (21661) {G18,W6,D3,L1,V2,M1} R(20002,10) { midp( skol7( X, Y ), Y, X ) }.
% 32.97/33.45 (42060) {G17,W8,D3,L1,V2,M1} R(20006,264) { perp( X, Y, skol23, skol16(
% 32.97/33.45 skol23, X, Y ) ) }.
% 32.97/33.45 (42111) {G18,W8,D3,L1,V2,M1} R(42060,264) { perp( skol23, skol16( skol23, X
% 32.97/33.45 , Y ), Y, X ) }.
% 32.97/33.45 (42192) {G19,W8,D3,L1,V0,M1} R(42111,291) { ! perp( skol22, skol23, skol23
% 32.97/33.45 , skol16( skol23, skol20, skol24 ) ) }.
% 32.97/33.45 (57601) {G19,W5,D2,L1,V2,M1} R(1866,21661) { para( X, Y, Y, X ) }.
% 32.97/33.45 (57609) {G20,W5,D2,L1,V2,M1} R(57601,213) { para( X, Y, X, Y ) }.
% 32.97/33.45 (60253) {G21,W5,D2,L1,V3,M1} S(20138);r(57609) { cyclic( Z, Y, X, X ) }.
% 32.97/33.45 (60721) {G22,W5,D2,L1,V3,M1} R(60253,361) { cyclic( X, Y, Z, Y ) }.
% 32.97/33.45 (60722) {G22,W5,D2,L1,V3,M1} R(60253,360) { cyclic( X, Y, Z, X ) }.
% 32.97/33.45 (60723) {G22,W5,D2,L1,V3,M1} R(60253,352) { cyclic( X, Y, Y, Z ) }.
% 32.97/33.45 (60736) {G23,W5,D2,L1,V2,M1} R(60721,948);r(60722) { cong( X, Y, X, Y ) }.
% 32.97/33.45 (60744) {G23,W5,D2,L1,V3,M1} R(60721,385);r(60723) { cyclic( Y, Y, Z, T )
% 32.97/33.45 }.
% 32.97/33.45 (60765) {G24,W15,D2,L3,V5,M3} R(60744,1612);r(60736) { perp( Z, X, X, Y ),
% 32.97/33.45 ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 32.97/33.45 (60788) {G25,W5,D2,L1,V3,M1} F(60765);r(60736) { perp( X, Y, Y, Z ) }.
% 32.97/33.45 (60826) {G26,W0,D0,L0,V0,M0} R(60788,42192) { }.
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 % SZS output end Refutation
% 32.97/33.45 found a proof!
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Unprocessed initial clauses:
% 32.97/33.45
% 32.97/33.45 (60828) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 32.97/33.45 (60829) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 32.97/33.45 (60830) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 32.97/33.45 ( Y, Z, X ) }.
% 32.97/33.45 (60831) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 32.97/33.45 }.
% 32.97/33.45 (60832) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 (60833) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 32.97/33.45 , para( X, Y, Z, T ) }.
% 32.97/33.45 (60834) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 32.97/33.45 }.
% 32.97/33.45 (60835) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 (60836) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 32.97/33.45 , para( X, Y, Z, T ) }.
% 32.97/33.45 (60837) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 32.97/33.45 , perp( X, Y, Z, T ) }.
% 32.97/33.45 (60838) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 32.97/33.45 (60839) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 32.97/33.45 , circle( T, X, Y, Z ) }.
% 32.97/33.45 (60840) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 32.97/33.45 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 (60841) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 32.97/33.45 ) }.
% 32.97/33.45 (60842) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 32.97/33.45 ) }.
% 32.97/33.45 (60843) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 32.97/33.45 ) }.
% 32.97/33.45 (60844) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 32.97/33.45 T ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 (60845) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 32.97/33.45 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 32.97/33.45 (60846) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 32.97/33.45 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 32.97/33.45 (60847) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 32.97/33.45 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 32.97/33.45 (60848) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 32.97/33.45 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 32.97/33.45 (60849) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 32.97/33.45 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 32.97/33.45 V1 ) }.
% 32.97/33.45 (60850) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 32.97/33.45 }.
% 32.97/33.45 (60851) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 (60852) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 32.97/33.45 , cong( X, Y, Z, T ) }.
% 32.97/33.45 (60853) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 32.97/33.45 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 32.97/33.45 (60854) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 32.97/33.45 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 32.97/33.45 (60855) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 32.97/33.45 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 32.97/33.45 (60856) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 32.97/33.45 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 32.97/33.45 (60857) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 32.97/33.45 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 32.97/33.45 V1 ) }.
% 32.97/33.45 (60858) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 32.97/33.45 , Z, T, U, W ) }.
% 32.97/33.45 (60859) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 32.97/33.45 , Z, T, U, W ) }.
% 32.97/33.45 (60860) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 32.97/33.45 , Z, T, U, W ) }.
% 32.97/33.45 (60861) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 32.97/33.45 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 32.97/33.45 (60862) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 32.97/33.45 , Z, T, U, W ) }.
% 32.97/33.45 (60863) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 32.97/33.45 , Z, T, U, W ) }.
% 32.97/33.45 (60864) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 32.97/33.45 , Z, T, U, W ) }.
% 32.97/33.45 (60865) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 32.97/33.45 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 32.97/33.45 (60866) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 32.97/33.45 X, Y, Z, T ) }.
% 32.97/33.45 (60867) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 32.97/33.45 Z, T, U, W ) }.
% 32.97/33.45 (60868) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 32.97/33.45 , T, X, T, Y ) }.
% 32.97/33.45 (60869) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 32.97/33.45 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 (60870) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 32.97/33.45 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 (60871) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 32.97/33.45 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 32.97/33.45 , Y, Z, T ) }.
% 32.97/33.45 (60872) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 32.97/33.45 ( Z, T, X, Y ) }.
% 32.97/33.45 (60873) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 32.97/33.45 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 32.97/33.45 (60874) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 32.97/33.45 X, Y, Z, Y ) }.
% 32.97/33.45 (60875) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 32.97/33.45 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 32.97/33.45 (60876) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 32.97/33.45 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 32.97/33.45 (60877) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 32.97/33.45 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 32.97/33.45 (60878) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 32.97/33.45 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 32.97/33.45 (60879) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 32.97/33.45 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 32.97/33.45 (60880) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 32.97/33.45 cong( X, Z, Y, Z ) }.
% 32.97/33.45 (60881) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 32.97/33.45 perp( X, Y, Y, Z ) }.
% 32.97/33.45 (60882) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 32.97/33.45 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 32.97/33.45 (60883) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 32.97/33.45 cong( Z, X, Z, Y ) }.
% 32.97/33.45 (60884) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 32.97/33.45 , perp( X, Y, Z, T ) }.
% 32.97/33.45 (60885) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 32.97/33.45 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 32.97/33.45 (60886) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 32.97/33.45 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 32.97/33.45 , W ) }.
% 32.97/33.45 (60887) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 32.97/33.45 , X, Z, T, U, T, W ) }.
% 32.97/33.45 (60888) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 32.97/33.45 , Y, Z, T, U, U, W ) }.
% 32.97/33.45 (60889) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 32.97/33.45 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 32.97/33.45 (60890) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 32.97/33.45 , T ) }.
% 32.97/33.45 (60891) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 32.97/33.45 ( X, Z, Y, T ) }.
% 32.97/33.45 (60892) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 32.97/33.45 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 32.97/33.45 (60893) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 32.97/33.45 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 32.97/33.45 (60894) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 32.97/33.45 (60895) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 32.97/33.45 midp( X, Y, Z ) }.
% 32.97/33.45 (60896) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 32.97/33.45 (60897) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 32.97/33.45 (60898) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 32.97/33.45 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 32.97/33.45 (60899) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 32.97/33.45 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 32.97/33.45 (60900) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 32.97/33.45 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 32.97/33.45 (60901) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 32.97/33.45 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 32.97/33.45 (60902) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 32.97/33.45 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 32.97/33.45 (60903) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 32.97/33.45 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 32.97/33.45 (60904) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 32.97/33.45 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 32.97/33.45 (60905) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 32.97/33.45 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 32.97/33.45 (60906) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 32.97/33.45 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 32.97/33.45 (60907) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 32.97/33.45 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 32.97/33.45 (60908) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 32.97/33.45 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 32.97/33.45 (60909) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 32.97/33.45 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 32.97/33.45 (60910) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 32.97/33.45 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 32.97/33.45 (60911) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 32.97/33.45 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 32.97/33.45 (60912) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 32.97/33.45 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 32.97/33.45 (60913) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 32.97/33.45 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 32.97/33.45 , T ) ) }.
% 32.97/33.45 (60914) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 32.97/33.45 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 32.97/33.45 (60915) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 32.97/33.45 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 32.97/33.45 (60916) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 32.97/33.45 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 32.97/33.45 (60917) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 32.97/33.45 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 32.97/33.45 (60918) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 32.97/33.45 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 32.97/33.45 ) }.
% 32.97/33.45 (60919) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 32.97/33.45 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 32.97/33.45 }.
% 32.97/33.45 (60920) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 32.97/33.45 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 32.97/33.45 (60921) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 32.97/33.45 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 32.97/33.45 (60922) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 32.97/33.45 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 32.97/33.45 (60923) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 32.97/33.45 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 32.97/33.45 (60924) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 32.97/33.45 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 32.97/33.45 (60925) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 32.97/33.45 , alpha1( X, Y, Z ) }.
% 32.97/33.45 (60926) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 32.97/33.45 ), Z, X ) }.
% 32.97/33.45 (60927) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 32.97/33.45 , Z ), Z, X ) }.
% 32.97/33.45 (60928) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 32.97/33.45 alpha1( X, Y, Z ) }.
% 32.97/33.45 (60929) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 32.97/33.45 ), X, X, Y ) }.
% 32.97/33.45 (60930) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 32.97/33.45 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 32.97/33.45 ) ) }.
% 32.97/33.45 (60931) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 32.97/33.45 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 32.97/33.45 (60932) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 32.97/33.45 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 32.97/33.45 }.
% 32.97/33.45 (60933) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 32.97/33.45 (60934) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 32.97/33.45 }.
% 32.97/33.45 (60935) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 32.97/33.45 alpha2( X, Y, Z, T ) }.
% 32.97/33.45 (60936) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 32.97/33.45 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 32.97/33.45 (60937) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 32.97/33.45 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 32.97/33.45 (60938) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 32.97/33.45 coll( skol16( W, Y, Z ), Y, Z ) }.
% 32.97/33.45 (60939) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 32.97/33.45 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 32.97/33.45 (60940) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 32.97/33.45 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 32.97/33.45 (60941) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 32.97/33.45 , coll( X, Y, skol18( X, Y ) ) }.
% 32.97/33.45 (60942) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 32.97/33.45 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 32.97/33.45 (60943) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 32.97/33.45 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 32.97/33.45 }.
% 32.97/33.45 (60944) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 32.97/33.45 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 32.97/33.45 }.
% 32.97/33.45 (60945) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol26, skol27 ) }.
% 32.97/33.45 (60946) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol20, skol28 ) }.
% 32.97/33.45 (60947) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol29, skol30 ) }.
% 32.97/33.45 (60948) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol29, skol29, skol28 ) }.
% 32.97/33.45 (60949) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol22, skol31 ) }.
% 32.97/33.45 (60950) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol28, skol22 ) }.
% 32.97/33.45 (60951) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol23, skol32 ) }.
% 32.97/33.45 (60952) {G0,W4,D2,L1,V0,M1} { midp( skol33, skol22, skol23 ) }.
% 32.97/33.45 (60953) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol33, skol24 ) }.
% 32.97/33.45 (60954) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol29, skol24, skol34 ) }.
% 32.97/33.45 (60955) {G0,W5,D2,L1,V0,M1} { ! para( skol22, skol23, skol20, skol24 ) }.
% 32.97/33.45
% 32.97/33.45
% 32.97/33.45 Total Proof:
% 32.97/33.45
% 32.97/33.45 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent0: (60828) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 parent0: (60829) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 32.97/33.45 Z ), coll( Y, Z, X ) }.
% 32.97/33.45 parent0: (60830) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 32.97/33.45 ), coll( Y, Z, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 32.97/33.45 , T, Z ) }.
% 32.97/33.45 parent0: (60831) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 32.97/33.45 T, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 32.97/33.45 , X, Y ) }.
% 32.97/33.45 parent0: (60832) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 32.97/33.45 X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 32.97/33.45 , T, Z ) }.
% 32.97/33.45 parent0: (60834) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 32.97/33.45 T, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 32.97/33.45 , X, Y ) }.
% 32.97/33.45 parent0: (60835) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 32.97/33.45 X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 32.97/33.45 W, Z, T ), para( X, Y, Z, T ) }.
% 32.97/33.45 parent0: (60836) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 32.97/33.45 , Z, T ), para( X, Y, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 W := W
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 32.97/33.45 ) }.
% 32.97/33.45 parent0: (60838) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 32.97/33.45 , X, T, Z ), circle( T, X, Y, Z ) }.
% 32.97/33.45 parent0: (60839) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 32.97/33.45 , T, Z ), circle( T, X, Y, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 32.97/33.45 X, Y, T, Z ) }.
% 32.97/33.45 parent0: (60841) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 32.97/33.45 , Y, T, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 32.97/33.45 X, Z, Y, T ) }.
% 32.97/33.45 parent0: (60842) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 32.97/33.45 , Z, Y, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 32.97/33.45 Y, X, Z, T ) }.
% 32.97/33.45 parent0: (60843) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 32.97/33.45 , X, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 32.97/33.45 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 parent0: (60844) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 32.97/33.45 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 32.97/33.45 , W, Z, T ), cong( X, Y, Z, T ) }.
% 32.97/33.45 parent0: (60852) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 32.97/33.45 , Z, T ), cong( X, Y, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 W := W
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 32.97/33.45 , Y, U, W, Z, T, U, W ) }.
% 32.97/33.45 parent0: (60867) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 32.97/33.45 Y, U, W, Z, T, U, W ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 W := W
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 32.97/33.45 ( Z, X, Z, Y, T, X, T, Y ) }.
% 32.97/33.45 parent0: (60868) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 32.97/33.45 , X, Z, Y, T, X, T, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 32.97/33.45 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 parent0: (60870) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 32.97/33.45 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 32.97/33.45 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 32.97/33.45 ), cong( X, Y, Z, T ) }.
% 32.97/33.45 parent0: (60871) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 32.97/33.45 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 32.97/33.45 , cong( X, Y, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 W := W
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 3 ==> 3
% 32.97/33.45 4 ==> 4
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 32.97/33.45 T, X, Z ), perp( X, Y, Y, Z ) }.
% 32.97/33.45 parent0: (60881) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 32.97/33.45 , X, Z ), perp( X, Y, Y, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 32.97/33.45 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 32.97/33.45 parent0: (60885) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 32.97/33.45 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 3 ==> 3
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 32.97/33.45 , T ), para( X, Z, Y, T ) }.
% 32.97/33.45 parent0: (60891) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 32.97/33.45 ), para( X, Z, Y, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 32.97/33.45 , Z ) }.
% 32.97/33.45 parent0: (60896) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 32.97/33.45 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 32.97/33.45 ) }.
% 32.97/33.45 parent0: (60897) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 32.97/33.45 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 32.97/33.45 ) }.
% 32.97/33.45 parent0: (60917) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 32.97/33.45 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 W := W
% 32.97/33.45 V0 := V0
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 3 ==> 3
% 32.97/33.45 4 ==> 4
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 32.97/33.45 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 32.97/33.45 parent0: (60939) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 32.97/33.45 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol28, skol22 )
% 32.97/33.45 }.
% 32.97/33.45 parent0: (60950) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol28, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (123) {G0,W4,D2,L1,V0,M1} I { midp( skol33, skol22, skol23 )
% 32.97/33.45 }.
% 32.97/33.45 parent0: (60952) {G0,W4,D2,L1,V0,M1} { midp( skol33, skol22, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (126) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol23, skol20,
% 32.97/33.45 skol24 ) }.
% 32.97/33.45 parent0: (60955) {G0,W5,D2,L1,V0,M1} { ! para( skol22, skol23, skol20,
% 32.97/33.45 skol24 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61421) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 32.97/33.45 , Z, Z ) }.
% 32.97/33.45 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 32.97/33.45 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Z
% 32.97/33.45 T := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 32.97/33.45 circle( X, Y, Z, Z ) }.
% 32.97/33.45 parent0: (61421) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 32.97/33.45 , Z, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61422) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 32.97/33.45 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 32.97/33.45 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 32.97/33.45 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 32.97/33.45 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := X
% 32.97/33.45 T := Y
% 32.97/33.45 U := Z
% 32.97/33.45 W := X
% 32.97/33.45 V0 := T
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 32.97/33.45 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 32.97/33.45 parent0: (61422) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 32.97/33.45 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 3 ==> 3
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61425) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 32.97/33.45 , Z, X ) }.
% 32.97/33.45 parent0: (61425) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61427) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 32.97/33.45 , Z, X ) }.
% 32.97/33.45 parent0: (61427) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61431) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 32.97/33.45 X ), ! coll( Z, T, Y ) }.
% 32.97/33.45 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 32.97/33.45 ), coll( Y, Z, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Z
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Y
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 32.97/33.45 ( X, Y, T ), coll( Z, X, T ) }.
% 32.97/33.45 parent0: (61431) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 32.97/33.45 , ! coll( Z, T, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Z
% 32.97/33.45 Y := T
% 32.97/33.45 Z := X
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 2
% 32.97/33.45 1 ==> 0
% 32.97/33.45 2 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61433) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 parent0[0, 1]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 32.97/33.45 coll( X, Y, T ), coll( Z, X, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z
% 32.97/33.45 , X, Z ) }.
% 32.97/33.45 parent0: (61433) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61434) {G1,W5,D2,L1,V0,M1} { ! para( skol22, skol23, skol24,
% 32.97/33.45 skol20 ) }.
% 32.97/33.45 parent0[0]: (126) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol23, skol20,
% 32.97/33.45 skol24 ) }.
% 32.97/33.45 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 32.97/33.45 T, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := skol22
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := skol24
% 32.97/33.45 T := skol20
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (210) {G1,W5,D2,L1,V0,M1} R(3,126) { ! para( skol22, skol23,
% 32.97/33.45 skol24, skol20 ) }.
% 32.97/33.45 parent0: (61434) {G1,W5,D2,L1,V0,M1} { ! para( skol22, skol23, skol24,
% 32.97/33.45 skol20 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61436) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 32.97/33.45 T, X, Y ) }.
% 32.97/33.45 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 32.97/33.45 T, Z ) }.
% 32.97/33.45 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 32.97/33.45 X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Z
% 32.97/33.45 Y := T
% 32.97/33.45 Z := X
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (213) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 32.97/33.45 ( Z, T, Y, X ) }.
% 32.97/33.45 parent0: (61436) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 32.97/33.45 X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Z
% 32.97/33.45 Y := T
% 32.97/33.45 Z := X
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61437) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 32.97/33.45 X ), ! coll( Z, T, Y ) }.
% 32.97/33.45 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 32.97/33.45 X, Z ) }.
% 32.97/33.45 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 32.97/33.45 ), coll( Y, Z, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Z
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Y
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (240) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll
% 32.97/33.45 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 32.97/33.45 parent0: (61437) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 32.97/33.45 , ! coll( Z, T, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := X
% 32.97/33.45 T := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61439) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol22 )
% 32.97/33.45 }.
% 32.97/33.45 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 32.97/33.45 X, Z ) }.
% 32.97/33.45 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol28, skol22 )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol23
% 32.97/33.45 Y := skol28
% 32.97/33.45 Z := skol22
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (251) {G3,W4,D2,L1,V0,M1} R(198,121) { coll( skol22, skol23,
% 32.97/33.45 skol22 ) }.
% 32.97/33.45 parent0: (61439) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61440) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent0[1, 2]: (240) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), !
% 32.97/33.45 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (253) {G4,W8,D2,L2,V3,M2} F(240) { coll( X, Y, X ), ! coll( X
% 32.97/33.45 , Z, Y ) }.
% 32.97/33.45 parent0: (61440) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61442) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 32.97/33.45 T, X, Y ) }.
% 32.97/33.45 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 32.97/33.45 T, Z ) }.
% 32.97/33.45 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 32.97/33.45 X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Z
% 32.97/33.45 Y := T
% 32.97/33.45 Z := X
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (264) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 32.97/33.45 ( Z, T, Y, X ) }.
% 32.97/33.45 parent0: (61442) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 32.97/33.45 X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Z
% 32.97/33.45 Y := T
% 32.97/33.45 Z := X
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61443) {G1,W10,D2,L2,V2,M2} { ! perp( skol22, skol23, X, Y )
% 32.97/33.45 , ! perp( X, Y, skol24, skol20 ) }.
% 32.97/33.45 parent0[0]: (210) {G1,W5,D2,L1,V0,M1} R(3,126) { ! para( skol22, skol23,
% 32.97/33.45 skol24, skol20 ) }.
% 32.97/33.45 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 32.97/33.45 , Z, T ), para( X, Y, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := skol22
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := skol24
% 32.97/33.45 T := skol20
% 32.97/33.45 U := X
% 32.97/33.45 W := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (291) {G2,W10,D2,L2,V2,M2} R(8,210) { ! perp( skol22, skol23,
% 32.97/33.45 X, Y ), ! perp( X, Y, skol24, skol20 ) }.
% 32.97/33.45 parent0: (61443) {G1,W10,D2,L2,V2,M2} { ! perp( skol22, skol23, X, Y ), !
% 32.97/33.45 perp( X, Y, skol24, skol20 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61444) {G1,W4,D2,L1,V0,M1} { midp( skol33, skol23, skol22 )
% 32.97/33.45 }.
% 32.97/33.45 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { midp( skol33, skol22, skol23 )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol23
% 32.97/33.45 Y := skol22
% 32.97/33.45 Z := skol33
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (324) {G1,W4,D2,L1,V0,M1} R(10,123) { midp( skol33, skol23,
% 32.97/33.45 skol22 ) }.
% 32.97/33.45 parent0: (61444) {G1,W4,D2,L1,V0,M1} { midp( skol33, skol23, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61446) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 32.97/33.45 ( X, Z, Y, T ) }.
% 32.97/33.45 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 32.97/33.45 , Y, T, Z ) }.
% 32.97/33.45 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 32.97/33.45 , Z, Y, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Y
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 32.97/33.45 cyclic( X, Z, T, Y ) }.
% 32.97/33.45 parent0: (61446) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 32.97/33.45 , Z, Y, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Y
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61447) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 32.97/33.45 ( X, Z, Y, T ) }.
% 32.97/33.45 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 32.97/33.45 , X, Z, T ) }.
% 32.97/33.45 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 32.97/33.45 , Z, Y, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Y
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (360) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 32.97/33.45 cyclic( Y, Z, X, T ) }.
% 32.97/33.45 parent0: (61447) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 32.97/33.45 , Z, Y, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61449) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 32.97/33.45 ( Y, X, Z, T ) }.
% 32.97/33.45 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 32.97/33.45 , Z, Y, T ) }.
% 32.97/33.45 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 32.97/33.45 , X, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (361) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 32.97/33.45 cyclic( Y, Z, X, T ) }.
% 32.97/33.45 parent0: (61449) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 32.97/33.45 , X, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61450) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol23 )
% 32.97/33.45 }.
% 32.97/33.45 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent1[0]: (251) {G3,W4,D2,L1,V0,M1} R(198,121) { coll( skol22, skol23,
% 32.97/33.45 skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol22
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := skol22
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (372) {G4,W4,D2,L1,V0,M1} R(251,0) { coll( skol22, skol22,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 parent0: (61450) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61452) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 32.97/33.45 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 32.97/33.45 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 32.97/33.45 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 32.97/33.45 , Y, T, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := T
% 32.97/33.45 T := U
% 32.97/33.45 U := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := U
% 32.97/33.45 T := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 32.97/33.45 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 32.97/33.45 parent0: (61452) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 32.97/33.45 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61455) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 parent1[0]: (253) {G4,W8,D2,L2,V3,M2} F(240) { coll( X, Y, X ), ! coll( X,
% 32.97/33.45 Z, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (474) {G5,W8,D2,L2,V3,M2} R(253,1) { ! coll( X, Y, Z ), coll(
% 32.97/33.45 Z, X, X ) }.
% 32.97/33.45 parent0: (61455) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61456) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[0]: (474) {G5,W8,D2,L2,V3,M2} R(253,1) { ! coll( X, Y, Z ), coll( Z
% 32.97/33.45 , X, X ) }.
% 32.97/33.45 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (479) {G6,W8,D2,L2,V3,M2} R(474,1) { coll( X, Y, Y ), ! coll(
% 32.97/33.45 Z, Y, X ) }.
% 32.97/33.45 parent0: (61456) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61457) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[0]: (474) {G5,W8,D2,L2,V3,M2} R(253,1) { ! coll( X, Y, Z ), coll( Z
% 32.97/33.45 , X, X ) }.
% 32.97/33.45 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (480) {G6,W8,D2,L2,V3,M2} R(474,0) { coll( X, Y, Y ), ! coll(
% 32.97/33.45 Y, X, Z ) }.
% 32.97/33.45 parent0: (61457) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61458) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[1]: (480) {G6,W8,D2,L2,V3,M2} R(474,0) { coll( X, Y, Y ), ! coll( Y
% 32.97/33.45 , X, Z ) }.
% 32.97/33.45 parent1[0]: (480) {G6,W8,D2,L2,V3,M2} R(474,0) { coll( X, Y, Y ), ! coll( Y
% 32.97/33.45 , X, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (492) {G7,W8,D2,L2,V3,M2} R(480,480) { ! coll( X, Y, Z ), coll
% 32.97/33.45 ( X, Y, Y ) }.
% 32.97/33.45 parent0: (61458) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61462) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 32.97/33.45 X ), ! coll( X, Y, T ) }.
% 32.97/33.45 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 32.97/33.45 ), coll( Y, Z, X ) }.
% 32.97/33.45 parent1[1]: (492) {G7,W8,D2,L2,V3,M2} R(480,480) { ! coll( X, Y, Z ), coll
% 32.97/33.45 ( X, Y, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Y
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := T
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (495) {G8,W12,D2,L3,V4,M3} R(492,2) { ! coll( X, Y, Z ), !
% 32.97/33.45 coll( X, Y, T ), coll( T, Y, X ) }.
% 32.97/33.45 parent0: (61462) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 32.97/33.45 , ! coll( X, Y, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := T
% 32.97/33.45 T := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 2
% 32.97/33.45 2 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61465) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 32.97/33.45 }.
% 32.97/33.45 parent0[0, 1]: (495) {G8,W12,D2,L3,V4,M3} R(492,2) { ! coll( X, Y, Z ), !
% 32.97/33.45 coll( X, Y, T ), coll( T, Y, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (496) {G9,W8,D2,L2,V3,M2} F(495) { ! coll( X, Y, Z ), coll( Z
% 32.97/33.45 , Y, X ) }.
% 32.97/33.45 parent0: (61465) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61466) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[0]: (496) {G9,W8,D2,L2,V3,M2} F(495) { ! coll( X, Y, Z ), coll( Z,
% 32.97/33.45 Y, X ) }.
% 32.97/33.45 parent1[0]: (479) {G6,W8,D2,L2,V3,M2} R(474,1) { coll( X, Y, Y ), ! coll( Z
% 32.97/33.45 , Y, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (500) {G10,W8,D2,L2,V3,M2} R(496,479) { coll( X, X, Y ), !
% 32.97/33.45 coll( Z, X, Y ) }.
% 32.97/33.45 parent0: (61466) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61467) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[1]: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 32.97/33.45 Z, X ) }.
% 32.97/33.45 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (546) {G2,W8,D2,L2,V3,M2} R(69,168) { ! midp( X, Y, Z ), coll
% 32.97/33.45 ( Z, X, Y ) }.
% 32.97/33.45 parent0: (61467) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Z
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61468) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[1]: (500) {G10,W8,D2,L2,V3,M2} R(496,479) { coll( X, X, Y ), ! coll
% 32.97/33.45 ( Z, X, Y ) }.
% 32.97/33.45 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Z
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (553) {G11,W8,D2,L2,V3,M2} R(69,500) { ! midp( X, Y, Z ), coll
% 32.97/33.45 ( Y, Y, Z ) }.
% 32.97/33.45 parent0: (61468) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61469) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 32.97/33.45 }.
% 32.97/33.45 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (572) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 32.97/33.45 , X, Z ) }.
% 32.97/33.45 parent0: (61469) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61470) {G1,W4,D2,L1,V0,M1} { coll( skol33, skol22, skol23 )
% 32.97/33.45 }.
% 32.97/33.45 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 32.97/33.45 }.
% 32.97/33.45 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { midp( skol33, skol22, skol23 )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol33
% 32.97/33.45 Y := skol22
% 32.97/33.45 Z := skol23
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (573) {G1,W4,D2,L1,V0,M1} R(69,123) { coll( skol33, skol22,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 parent0: (61470) {G1,W4,D2,L1,V0,M1} { coll( skol33, skol22, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61471) {G1,W8,D2,L2,V1,M2} { ! coll( skol33, skol22, X ),
% 32.97/33.45 coll( skol23, X, skol33 ) }.
% 32.97/33.45 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 32.97/33.45 ), coll( Y, Z, X ) }.
% 32.97/33.45 parent1[0]: (573) {G1,W4,D2,L1,V0,M1} R(69,123) { coll( skol33, skol22,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol33
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := X
% 32.97/33.45 T := skol22
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (628) {G2,W8,D2,L2,V1,M2} R(573,2) { ! coll( skol33, skol22, X
% 32.97/33.45 ), coll( skol23, X, skol33 ) }.
% 32.97/33.45 parent0: (61471) {G1,W8,D2,L2,V1,M2} { ! coll( skol33, skol22, X ), coll(
% 32.97/33.45 skol23, X, skol33 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61473) {G2,W8,D2,L2,V1,M2} { coll( skol23, X, skol33 ), !
% 32.97/33.45 coll( X, skol33, skol22 ) }.
% 32.97/33.45 parent0[0]: (628) {G2,W8,D2,L2,V1,M2} R(573,2) { ! coll( skol33, skol22, X
% 32.97/33.45 ), coll( skol23, X, skol33 ) }.
% 32.97/33.45 parent1[1]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 32.97/33.45 Z, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := skol33
% 32.97/33.45 Z := skol22
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (699) {G3,W8,D2,L2,V1,M2} R(628,169) { coll( skol23, X, skol33
% 32.97/33.45 ), ! coll( X, skol33, skol22 ) }.
% 32.97/33.45 parent0: (61473) {G2,W8,D2,L2,V1,M2} { coll( skol23, X, skol33 ), ! coll(
% 32.97/33.45 X, skol33, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61474) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 32.97/33.45 , X, X ), ! para( X, Y, X, Y ) }.
% 32.97/33.45 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 32.97/33.45 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 32.97/33.45 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 32.97/33.45 , Y, U, W, Z, T, U, W ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := X
% 32.97/33.45 T := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := X
% 32.97/33.45 T := Y
% 32.97/33.45 U := X
% 32.97/33.45 W := Z
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (818) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 32.97/33.45 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 32.97/33.45 parent0: (61474) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 32.97/33.45 , X ), ! para( X, Y, X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61475) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 32.97/33.45 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 32.97/33.45 cyclic( X, Y, Z, T ) }.
% 32.97/33.45 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 32.97/33.45 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 32.97/33.45 ), cong( X, Y, Z, T ) }.
% 32.97/33.45 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 32.97/33.45 Z, X, Z, Y, T, X, T, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := X
% 32.97/33.45 T := Y
% 32.97/33.45 U := Z
% 32.97/33.45 W := T
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61477) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 32.97/33.45 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 32.97/33.45 parent0[0, 2]: (61475) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 32.97/33.45 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 32.97/33.45 cyclic( X, Y, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (916) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 32.97/33.45 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 32.97/33.45 parent0: (61477) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 32.97/33.45 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 3
% 32.97/33.45 3 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61482) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 32.97/33.45 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 32.97/33.45 parent0[0, 2]: (916) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 32.97/33.45 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (948) {G2,W15,D2,L3,V3,M3} F(916) { ! cyclic( X, Y, Z, X ), !
% 32.97/33.45 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 32.97/33.45 parent0: (61482) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 32.97/33.45 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61484) {G1,W25,D2,L5,V6,M5} { ! cong( X, T, Z, T ), ! cyclic
% 32.97/33.45 ( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( X, Y, U, W ), ! cong( U, W, Z
% 32.97/33.45 , Y ) }.
% 32.97/33.45 parent0[0]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X,
% 32.97/33.45 Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 32.97/33.45 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 32.97/33.45 W, Z, T ), cong( X, Y, Z, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := T
% 32.97/33.45 T := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := Y
% 32.97/33.45 U := U
% 32.97/33.45 W := W
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (1612) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), !
% 32.97/33.45 cyclic( X, Z, T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong(
% 32.97/33.45 U, W, Z, T ) }.
% 32.97/33.45 parent0: (61484) {G1,W25,D2,L5,V6,M5} { ! cong( X, T, Z, T ), ! cyclic( X
% 32.97/33.45 , Z, Y, T ), perp( Y, X, X, T ), ! cong( X, Y, U, W ), ! cong( U, W, Z, Y
% 32.97/33.45 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := T
% 32.97/33.45 Z := Z
% 32.97/33.45 T := Y
% 32.97/33.45 U := U
% 32.97/33.45 W := W
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 3 ==> 3
% 32.97/33.45 4 ==> 4
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61491) {G2,W8,D2,L2,V1,M2} { coll( X, skol33, skol23 ), !
% 32.97/33.45 coll( X, skol33, skol22 ) }.
% 32.97/33.45 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 32.97/33.45 Z, X ) }.
% 32.97/33.45 parent1[0]: (699) {G3,W8,D2,L2,V1,M2} R(628,169) { coll( skol23, X, skol33
% 32.97/33.45 ), ! coll( X, skol33, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol23
% 32.97/33.45 Y := X
% 32.97/33.45 Z := skol33
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (1703) {G4,W8,D2,L2,V1,M2} R(699,169) { ! coll( X, skol33,
% 32.97/33.45 skol22 ), coll( X, skol33, skol23 ) }.
% 32.97/33.45 parent0: (61491) {G2,W8,D2,L2,V1,M2} { coll( X, skol33, skol23 ), ! coll(
% 32.97/33.45 X, skol33, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61494) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol33, Y ), coll(
% 32.97/33.45 skol23, Y, X ), ! coll( X, skol33, skol22 ) }.
% 32.97/33.45 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 32.97/33.45 ), coll( Y, Z, X ) }.
% 32.97/33.45 parent1[1]: (1703) {G4,W8,D2,L2,V1,M2} R(699,169) { ! coll( X, skol33,
% 32.97/33.45 skol22 ), coll( X, skol33, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := Y
% 32.97/33.45 T := skol33
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (1721) {G5,W12,D2,L3,V2,M3} R(1703,2) { ! coll( X, skol33,
% 32.97/33.45 skol22 ), ! coll( X, skol33, Y ), coll( skol23, Y, X ) }.
% 32.97/33.45 parent0: (61494) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol33, Y ), coll(
% 32.97/33.45 skol23, Y, X ), ! coll( X, skol33, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 2
% 32.97/33.45 2 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61498) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol33, skol22 ), coll(
% 32.97/33.45 skol23, skol22, X ) }.
% 32.97/33.45 parent0[0, 1]: (1721) {G5,W12,D2,L3,V2,M3} R(1703,2) { ! coll( X, skol33,
% 32.97/33.45 skol22 ), ! coll( X, skol33, Y ), coll( skol23, Y, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := skol22
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (1726) {G6,W8,D2,L2,V1,M2} F(1721) { ! coll( X, skol33, skol22
% 32.97/33.45 ), coll( skol23, skol22, X ) }.
% 32.97/33.45 parent0: (61498) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol33, skol22 ), coll(
% 32.97/33.45 skol23, skol22, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61500) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T,
% 32.97/33.45 Z, U ), ! midp( X, U, T ) }.
% 32.97/33.45 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 32.97/33.45 T ), para( X, Z, Y, T ) }.
% 32.97/33.45 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := T
% 32.97/33.45 T := U
% 32.97/33.45 U := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := T
% 32.97/33.45 Y := U
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (1850) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 32.97/33.45 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 32.97/33.45 parent0: (61500) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z,
% 32.97/33.45 U ), ! midp( X, U, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := T
% 32.97/33.45 U := U
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61503) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 32.97/33.45 ) }.
% 32.97/33.45 parent0[0, 2]: (1850) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 32.97/33.45 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := Z
% 32.97/33.45 U := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (1866) {G2,W9,D2,L2,V3,M2} F(1850) { ! midp( X, Y, Z ), para(
% 32.97/33.45 Y, Z, Z, Y ) }.
% 32.97/33.45 parent0: (61503) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 32.97/33.45 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61504) {G1,W5,D2,L1,V0,M1} { cong( skol33, skol22, skol33,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 32.97/33.45 Z ) }.
% 32.97/33.45 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { midp( skol33, skol22, skol23 )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol33
% 32.97/33.45 Y := skol22
% 32.97/33.45 Z := skol23
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (2383) {G1,W5,D2,L1,V0,M1} R(68,123) { cong( skol33, skol22,
% 32.97/33.45 skol33, skol23 ) }.
% 32.97/33.45 parent0: (61504) {G1,W5,D2,L1,V0,M1} { cong( skol33, skol22, skol33,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61505) {G2,W8,D2,L2,V1,M2} { coll( skol23, skol22, X ), !
% 32.97/33.45 midp( skol33, X, skol22 ) }.
% 32.97/33.45 parent0[0]: (1726) {G6,W8,D2,L2,V1,M2} F(1721) { ! coll( X, skol33, skol22
% 32.97/33.45 ), coll( skol23, skol22, X ) }.
% 32.97/33.45 parent1[1]: (572) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 32.97/33.45 , X, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := skol33
% 32.97/33.45 Y := X
% 32.97/33.45 Z := skol22
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (2754) {G7,W8,D2,L2,V1,M2} R(1726,572) { coll( skol23, skol22
% 32.97/33.45 , X ), ! midp( skol33, X, skol22 ) }.
% 32.97/33.45 parent0: (61505) {G2,W8,D2,L2,V1,M2} { coll( skol23, skol22, X ), ! midp(
% 32.97/33.45 skol33, X, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61506) {G3,W8,D2,L2,V1,M2} { coll( skol23, skol22, X ), !
% 32.97/33.45 midp( skol33, skol22, X ) }.
% 32.97/33.45 parent0[0]: (1726) {G6,W8,D2,L2,V1,M2} F(1721) { ! coll( X, skol33, skol22
% 32.97/33.45 ), coll( skol23, skol22, X ) }.
% 32.97/33.45 parent1[1]: (546) {G2,W8,D2,L2,V3,M2} R(69,168) { ! midp( X, Y, Z ), coll(
% 32.97/33.45 Z, X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := skol33
% 32.97/33.45 Y := skol22
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (2757) {G7,W8,D2,L2,V1,M2} R(1726,546) { coll( skol23, skol22
% 32.97/33.45 , X ), ! midp( skol33, skol22, X ) }.
% 32.97/33.45 parent0: (61506) {G3,W8,D2,L2,V1,M2} { coll( skol23, skol22, X ), ! midp(
% 32.97/33.45 skol33, skol22, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61507) {G1,W8,D2,L2,V1,M2} { coll( skol23, X, skol22 ), !
% 32.97/33.45 midp( skol33, X, skol22 ) }.
% 32.97/33.45 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent1[0]: (2754) {G7,W8,D2,L2,V1,M2} R(1726,572) { coll( skol23, skol22,
% 32.97/33.45 X ), ! midp( skol33, X, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol23
% 32.97/33.45 Y := skol22
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (2780) {G8,W8,D2,L2,V1,M2} R(2754,0) { ! midp( skol33, X,
% 32.97/33.45 skol22 ), coll( skol23, X, skol22 ) }.
% 32.97/33.45 parent0: (61507) {G1,W8,D2,L2,V1,M2} { coll( skol23, X, skol22 ), ! midp(
% 32.97/33.45 skol33, X, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 1
% 32.97/33.45 1 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61508) {G2,W5,D2,L1,V0,M1} { circle( skol33, skol22, skol23,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 parent0[0]: (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 32.97/33.45 ( X, Y, Z, Z ) }.
% 32.97/33.45 parent1[0]: (2383) {G1,W5,D2,L1,V0,M1} R(68,123) { cong( skol33, skol22,
% 32.97/33.45 skol33, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol33
% 32.97/33.45 Y := skol22
% 32.97/33.45 Z := skol23
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7026) {G2,W5,D2,L1,V0,M1} R(129,2383) { circle( skol33,
% 32.97/33.45 skol22, skol23, skol23 ) }.
% 32.97/33.45 parent0: (61508) {G2,W5,D2,L1,V0,M1} { circle( skol33, skol22, skol23,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61509) {G1,W9,D2,L2,V0,M2} { ! coll( skol33, skol22, skol23 )
% 32.97/33.45 , perp( skol22, skol23, skol23, skol23 ) }.
% 32.97/33.45 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 32.97/33.45 , X, Z ), perp( X, Y, Y, Z ) }.
% 32.97/33.45 parent1[0]: (7026) {G2,W5,D2,L1,V0,M1} R(129,2383) { circle( skol33, skol22
% 32.97/33.45 , skol23, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol22
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := skol23
% 32.97/33.45 T := skol33
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61510) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol23,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 parent0[0]: (61509) {G1,W9,D2,L2,V0,M2} { ! coll( skol33, skol22, skol23 )
% 32.97/33.45 , perp( skol22, skol23, skol23, skol23 ) }.
% 32.97/33.45 parent1[0]: (573) {G1,W4,D2,L1,V0,M1} R(69,123) { coll( skol33, skol22,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7036) {G3,W5,D2,L1,V0,M1} R(7026,53);r(573) { perp( skol22,
% 32.97/33.45 skol23, skol23, skol23 ) }.
% 32.97/33.45 parent0: (61510) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol23,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61511) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol23, skol22,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 32.97/33.45 X, Y ) }.
% 32.97/33.45 parent1[0]: (7036) {G3,W5,D2,L1,V0,M1} R(7026,53);r(573) { perp( skol22,
% 32.97/33.45 skol23, skol23, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol22
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := skol23
% 32.97/33.45 T := skol23
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7058) {G4,W5,D2,L1,V0,M1} R(7036,7) { perp( skol23, skol23,
% 32.97/33.45 skol22, skol23 ) }.
% 32.97/33.45 parent0: (61511) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol23, skol22,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61512) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol23, skol23,
% 32.97/33.45 skol22 ) }.
% 32.97/33.45 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 32.97/33.45 T, Z ) }.
% 32.97/33.45 parent1[0]: (7058) {G4,W5,D2,L1,V0,M1} R(7036,7) { perp( skol23, skol23,
% 32.97/33.45 skol22, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol23
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := skol22
% 32.97/33.45 T := skol23
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7073) {G5,W5,D2,L1,V0,M1} R(7058,6) { perp( skol23, skol23,
% 32.97/33.45 skol23, skol22 ) }.
% 32.97/33.45 parent0: (61512) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol23, skol23,
% 32.97/33.45 skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61513) {G1,W12,D3,L2,V2,M2} { ! coll( skol22, X, Y ), perp(
% 32.97/33.45 skol16( skol23, X, Y ), skol23, X, Y ) }.
% 32.97/33.45 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 32.97/33.45 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 32.97/33.45 parent1[0]: (7073) {G5,W5,D2,L1,V0,M1} R(7058,6) { perp( skol23, skol23,
% 32.97/33.45 skol23, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol23
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Y
% 32.97/33.45 T := skol22
% 32.97/33.45 U := skol23
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7088) {G6,W12,D3,L2,V2,M2} R(7073,110) { ! coll( skol22, X, Y
% 32.97/33.45 ), perp( skol16( skol23, X, Y ), skol23, X, Y ) }.
% 32.97/33.45 parent0: (61513) {G1,W12,D3,L2,V2,M2} { ! coll( skol22, X, Y ), perp(
% 32.97/33.45 skol16( skol23, X, Y ), skol23, X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61514) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol22, skol23 ), !
% 32.97/33.45 coll( skol22, skol22, skol23 ), midp( skol7( skol22, Y ), skol22, Y ), !
% 32.97/33.45 midp( skol33, skol22, skol23 ) }.
% 32.97/33.45 parent0[2]: (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 32.97/33.45 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 32.97/33.45 parent1[0]: (2757) {G7,W8,D2,L2,V1,M2} R(1726,546) { coll( skol23, skol22,
% 32.97/33.45 X ), ! midp( skol33, skol22, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := skol22
% 32.97/33.45 Z := skol23
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := skol23
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61517) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol22, skol23 ),
% 32.97/33.45 midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol33, skol22, skol23 )
% 32.97/33.45 }.
% 32.97/33.45 parent0[1]: (61514) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol22, skol23 ), !
% 32.97/33.45 coll( skol22, skol22, skol23 ), midp( skol7( skol22, Y ), skol22, Y ), !
% 32.97/33.45 midp( skol33, skol22, skol23 ) }.
% 32.97/33.45 parent1[0]: (372) {G4,W4,D2,L1,V0,M1} R(251,0) { coll( skol22, skol22,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7869) {G8,W14,D3,L3,V2,M3} R(149,2757);r(372) { ! midp( X,
% 32.97/33.45 skol22, skol23 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol33,
% 32.97/33.45 skol22, skol23 ) }.
% 32.97/33.45 parent0: (61517) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol22, skol23 ), midp
% 32.97/33.45 ( skol7( skol22, Y ), skol22, Y ), ! midp( skol33, skol22, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61519) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol23, skol22 ), !
% 32.97/33.45 coll( skol22, skol23, skol22 ), midp( skol7( skol23, Y ), skol23, Y ), !
% 32.97/33.45 midp( skol33, skol23, skol22 ) }.
% 32.97/33.45 parent0[1]: (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 32.97/33.45 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 32.97/33.45 parent1[1]: (2780) {G8,W8,D2,L2,V1,M2} R(2754,0) { ! midp( skol33, X,
% 32.97/33.45 skol22 ), coll( skol23, X, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := skol22
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := skol23
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61522) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol23, skol22 ),
% 32.97/33.45 midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol33, skol23, skol22 )
% 32.97/33.45 }.
% 32.97/33.45 parent0[1]: (61519) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol23, skol22 ), !
% 32.97/33.45 coll( skol22, skol23, skol22 ), midp( skol7( skol23, Y ), skol23, Y ), !
% 32.97/33.45 midp( skol33, skol23, skol22 ) }.
% 32.97/33.45 parent1[0]: (251) {G3,W4,D2,L1,V0,M1} R(198,121) { coll( skol22, skol23,
% 32.97/33.45 skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7880) {G9,W14,D3,L3,V2,M3} R(149,2780);r(251) { ! midp( X,
% 32.97/33.45 skol23, skol22 ), midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol33,
% 32.97/33.45 skol23, skol22 ) }.
% 32.97/33.45 parent0: (61522) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol23, skol22 ), midp
% 32.97/33.45 ( skol7( skol23, Y ), skol23, Y ), ! midp( skol33, skol23, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 2 ==> 2
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61524) {G9,W10,D3,L2,V1,M2} { ! midp( skol33, skol23, skol22 ),
% 32.97/33.45 midp( skol7( skol23, X ), skol23, X ) }.
% 32.97/33.45 parent0[0, 2]: (7880) {G9,W14,D3,L3,V2,M3} R(149,2780);r(251) { ! midp( X,
% 32.97/33.45 skol23, skol22 ), midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol33,
% 32.97/33.45 skol23, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol33
% 32.97/33.45 Y := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61525) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), skol23
% 32.97/33.45 , X ) }.
% 32.97/33.45 parent0[0]: (61524) {G9,W10,D3,L2,V1,M2} { ! midp( skol33, skol23, skol22
% 32.97/33.45 ), midp( skol7( skol23, X ), skol23, X ) }.
% 32.97/33.45 parent1[0]: (324) {G1,W4,D2,L1,V0,M1} R(10,123) { midp( skol33, skol23,
% 32.97/33.45 skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7964) {G10,W6,D3,L1,V1,M1} F(7880);r(324) { midp( skol7(
% 32.97/33.45 skol23, X ), skol23, X ) }.
% 32.97/33.45 parent0: (61525) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), skol23, X
% 32.97/33.45 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 factor: (61526) {G8,W10,D3,L2,V1,M2} { ! midp( skol33, skol22, skol23 ),
% 32.97/33.45 midp( skol7( skol22, X ), skol22, X ) }.
% 32.97/33.45 parent0[0, 2]: (7869) {G8,W14,D3,L3,V2,M3} R(149,2757);r(372) { ! midp( X,
% 32.97/33.45 skol22, skol23 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol33,
% 32.97/33.45 skol22, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol33
% 32.97/33.45 Y := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61527) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22
% 32.97/33.45 , X ) }.
% 32.97/33.45 parent0[0]: (61526) {G8,W10,D3,L2,V1,M2} { ! midp( skol33, skol22, skol23
% 32.97/33.45 ), midp( skol7( skol22, X ), skol22, X ) }.
% 32.97/33.45 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { midp( skol33, skol22, skol23 )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (7965) {G9,W6,D3,L1,V1,M1} F(7869);r(123) { midp( skol7(
% 32.97/33.45 skol22, X ), skol22, X ) }.
% 32.97/33.45 parent0: (61527) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22, X
% 32.97/33.45 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61528) {G10,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 32.97/33.45 parent0[0]: (553) {G11,W8,D2,L2,V3,M2} R(69,500) { ! midp( X, Y, Z ), coll
% 32.97/33.45 ( Y, Y, Z ) }.
% 32.97/33.45 parent1[0]: (7965) {G9,W6,D3,L1,V1,M1} F(7869);r(123) { midp( skol7( skol22
% 32.97/33.45 , X ), skol22, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol7( skol22, X )
% 32.97/33.45 Y := skol22
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (8017) {G12,W4,D2,L1,V1,M1} R(7965,553) { coll( skol22, skol22
% 32.97/33.45 , X ) }.
% 32.97/33.45 parent0: (61528) {G10,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61529) {G1,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 32.97/33.45 coll( X, Y, skol22 ) }.
% 32.97/33.45 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 32.97/33.45 ), coll( Y, Z, X ) }.
% 32.97/33.45 parent1[0]: (8017) {G12,W4,D2,L1,V1,M1} R(7965,553) { coll( skol22, skol22
% 32.97/33.45 , X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol22
% 32.97/33.45 Y := X
% 32.97/33.45 Z := Y
% 32.97/33.45 T := skol22
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61531) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol22 ) }.
% 32.97/33.45 parent0[0]: (61529) {G1,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 32.97/33.45 coll( X, Y, skol22 ) }.
% 32.97/33.45 parent1[0]: (8017) {G12,W4,D2,L1,V1,M1} R(7965,553) { coll( skol22, skol22
% 32.97/33.45 , X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (8076) {G13,W4,D2,L1,V2,M1} R(8017,2);r(8017) { coll( Y, X,
% 32.97/33.45 skol22 ) }.
% 32.97/33.45 parent0: (61531) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61532) {G2,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 32.97/33.45 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 32.97/33.45 Z, X ) }.
% 32.97/33.45 parent1[0]: (8076) {G13,W4,D2,L1,V2,M1} R(8017,2);r(8017) { coll( Y, X,
% 32.97/33.45 skol22 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := skol22
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (8101) {G14,W4,D2,L1,V2,M1} R(8076,169) { coll( X, skol22, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent0: (61532) {G2,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61533) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 32.97/33.45 , Z, X ) }.
% 32.97/33.45 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 32.97/33.45 ), coll( Y, Z, X ) }.
% 32.97/33.45 parent1[0]: (8101) {G14,W4,D2,L1,V2,M1} R(8076,169) { coll( X, skol22, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 T := skol22
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61535) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 32.97/33.45 parent0[0]: (61533) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 32.97/33.45 , Z, X ) }.
% 32.97/33.45 parent1[0]: (8101) {G14,W4,D2,L1,V2,M1} R(8076,169) { coll( X, skol22, Y )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Z
% 32.97/33.45 Z := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (8114) {G15,W4,D2,L1,V3,M1} R(8101,2);r(8101) { coll( Z, Y, X
% 32.97/33.45 ) }.
% 32.97/33.45 parent0: (61535) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61536) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), X,
% 32.97/33.45 skol23 ) }.
% 32.97/33.45 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent1[0]: (7964) {G10,W6,D3,L1,V1,M1} F(7880);r(324) { midp( skol7(
% 32.97/33.45 skol23, X ), skol23, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := skol7( skol23, X )
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (8190) {G11,W6,D3,L1,V1,M1} R(7964,10) { midp( skol7( skol23,
% 32.97/33.45 X ), X, skol23 ) }.
% 32.97/33.45 parent0: (61536) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), X, skol23
% 32.97/33.45 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61537) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol23 ), ! coll
% 32.97/33.45 ( skol23, X, skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 32.97/33.45 parent0[0]: (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 32.97/33.45 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 32.97/33.45 parent1[0]: (8190) {G11,W6,D3,L1,V1,M1} R(7964,10) { midp( skol7( skol23, X
% 32.97/33.45 ), X, skol23 ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol7( skol23, X )
% 32.97/33.45 Y := X
% 32.97/33.45 Z := skol23
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61540) {G3,W10,D3,L2,V2,M2} { ! coll( skol23, X, skol23 ),
% 32.97/33.45 midp( skol7( X, Y ), X, Y ) }.
% 32.97/33.45 parent0[0]: (61537) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol23 ), ! coll
% 32.97/33.45 ( skol23, X, skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 32.97/33.45 parent1[0]: (8114) {G15,W4,D2,L1,V3,M1} R(8101,2);r(8101) { coll( Z, Y, X )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := skol23
% 32.97/33.45 Y := X
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (8206) {G16,W10,D3,L2,V2,M2} R(8190,149);r(8114) { ! coll(
% 32.97/33.45 skol23, X, skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 32.97/33.45 parent0: (61540) {G3,W10,D3,L2,V2,M2} { ! coll( skol23, X, skol23 ), midp
% 32.97/33.45 ( skol7( X, Y ), X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61542) {G16,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 32.97/33.45 parent0[0]: (8206) {G16,W10,D3,L2,V2,M2} R(8190,149);r(8114) { ! coll(
% 32.97/33.45 skol23, X, skol23 ), midp( skol7( X, Y ), X, Y ) }.
% 32.97/33.45 parent1[0]: (8114) {G15,W4,D2,L1,V3,M1} R(8101,2);r(8101) { coll( Z, Y, X )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := skol23
% 32.97/33.45 Y := X
% 32.97/33.45 Z := skol23
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (20002) {G17,W6,D3,L1,V2,M1} S(8206);r(8114) { midp( skol7( X
% 32.97/33.45 , Y ), X, Y ) }.
% 32.97/33.45 parent0: (61542) {G16,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61543) {G7,W8,D3,L1,V2,M1} { perp( skol16( skol23, X, Y ),
% 32.97/33.45 skol23, X, Y ) }.
% 32.97/33.45 parent0[0]: (7088) {G6,W12,D3,L2,V2,M2} R(7073,110) { ! coll( skol22, X, Y
% 32.97/33.45 ), perp( skol16( skol23, X, Y ), skol23, X, Y ) }.
% 32.97/33.45 parent1[0]: (8114) {G15,W4,D2,L1,V3,M1} R(8101,2);r(8101) { coll( Z, Y, X )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := skol22
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (20006) {G16,W8,D3,L1,V2,M1} S(7088);r(8114) { perp( skol16(
% 32.97/33.45 skol23, X, Y ), skol23, X, Y ) }.
% 32.97/33.45 parent0: (61543) {G7,W8,D3,L1,V2,M1} { perp( skol16( skol23, X, Y ),
% 32.97/33.45 skol23, X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61544) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 32.97/33.45 , Z, X, Z ) }.
% 32.97/33.45 parent0[0]: (818) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 32.97/33.45 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 32.97/33.45 parent1[0]: (8114) {G15,W4,D2,L1,V3,M1} R(8101,2);r(8101) { coll( Z, Y, X )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (20138) {G16,W10,D2,L2,V3,M2} S(818);r(8114) { cyclic( Z, Y, X
% 32.97/33.45 , X ), ! para( X, Z, X, Z ) }.
% 32.97/33.45 parent0: (61544) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X, Z
% 32.97/33.45 , X, Z ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Z
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 1 ==> 1
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61545) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 32.97/33.45 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 32.97/33.45 }.
% 32.97/33.45 parent1[0]: (20002) {G17,W6,D3,L1,V2,M1} S(8206);r(8114) { midp( skol7( X,
% 32.97/33.45 Y ), X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 Z := skol7( X, Y )
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (21661) {G18,W6,D3,L1,V2,M1} R(20002,10) { midp( skol7( X, Y )
% 32.97/33.45 , Y, X ) }.
% 32.97/33.45 parent0: (61545) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61546) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol23, skol16(
% 32.97/33.45 skol23, X, Y ) ) }.
% 32.97/33.45 parent0[0]: (264) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 32.97/33.45 ( Z, T, Y, X ) }.
% 32.97/33.45 parent1[0]: (20006) {G16,W8,D3,L1,V2,M1} S(7088);r(8114) { perp( skol16(
% 32.97/33.45 skol23, X, Y ), skol23, X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol16( skol23, X, Y )
% 32.97/33.45 Y := skol23
% 32.97/33.45 Z := X
% 32.97/33.45 T := Y
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (42060) {G17,W8,D3,L1,V2,M1} R(20006,264) { perp( X, Y, skol23
% 32.97/33.45 , skol16( skol23, X, Y ) ) }.
% 32.97/33.45 parent0: (61546) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol23, skol16( skol23
% 32.97/33.45 , X, Y ) ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61547) {G2,W8,D3,L1,V2,M1} { perp( skol23, skol16( skol23, X
% 32.97/33.45 , Y ), Y, X ) }.
% 32.97/33.45 parent0[0]: (264) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 32.97/33.45 ( Z, T, Y, X ) }.
% 32.97/33.45 parent1[0]: (42060) {G17,W8,D3,L1,V2,M1} R(20006,264) { perp( X, Y, skol23
% 32.97/33.45 , skol16( skol23, X, Y ) ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := skol23
% 32.97/33.45 T := skol16( skol23, X, Y )
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (42111) {G18,W8,D3,L1,V2,M1} R(42060,264) { perp( skol23,
% 32.97/33.45 skol16( skol23, X, Y ), Y, X ) }.
% 32.97/33.45 parent0: (61547) {G2,W8,D3,L1,V2,M1} { perp( skol23, skol16( skol23, X, Y
% 32.97/33.45 ), Y, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61548) {G3,W8,D3,L1,V0,M1} { ! perp( skol22, skol23, skol23,
% 32.97/33.45 skol16( skol23, skol20, skol24 ) ) }.
% 32.97/33.45 parent0[1]: (291) {G2,W10,D2,L2,V2,M2} R(8,210) { ! perp( skol22, skol23, X
% 32.97/33.45 , Y ), ! perp( X, Y, skol24, skol20 ) }.
% 32.97/33.45 parent1[0]: (42111) {G18,W8,D3,L1,V2,M1} R(42060,264) { perp( skol23,
% 32.97/33.45 skol16( skol23, X, Y ), Y, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol23
% 32.97/33.45 Y := skol16( skol23, skol20, skol24 )
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := skol20
% 32.97/33.45 Y := skol24
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (42192) {G19,W8,D3,L1,V0,M1} R(42111,291) { ! perp( skol22,
% 32.97/33.45 skol23, skol23, skol16( skol23, skol20, skol24 ) ) }.
% 32.97/33.45 parent0: (61548) {G3,W8,D3,L1,V0,M1} { ! perp( skol22, skol23, skol23,
% 32.97/33.45 skol16( skol23, skol20, skol24 ) ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61549) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 32.97/33.45 parent0[0]: (1866) {G2,W9,D2,L2,V3,M2} F(1850) { ! midp( X, Y, Z ), para( Y
% 32.97/33.45 , Z, Z, Y ) }.
% 32.97/33.45 parent1[0]: (21661) {G18,W6,D3,L1,V2,M1} R(20002,10) { midp( skol7( X, Y )
% 32.97/33.45 , Y, X ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := skol7( X, Y )
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := X
% 32.97/33.45 end
% 32.97/33.45 substitution1:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 subsumption: (57601) {G19,W5,D2,L1,V2,M1} R(1866,21661) { para( X, Y, Y, X
% 32.97/33.45 ) }.
% 32.97/33.45 parent0: (61549) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := Y
% 32.97/33.45 Y := X
% 32.97/33.45 end
% 32.97/33.45 permutation0:
% 32.97/33.45 0 ==> 0
% 32.97/33.45 end
% 32.97/33.45
% 32.97/33.45 resolution: (61550) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 32.97/33.45 parent0[0]: (213) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 32.97/33.45 ( Z, T, Y, X ) }.
% 32.97/33.45 parent1[0]: (57601) {G19,W5,D2,L1,V2,M1} R(1866,21661) { para( X, Y, Y, X )
% 32.97/33.45 }.
% 32.97/33.45 substitution0:
% 32.97/33.45 X := X
% 32.97/33.45 Y := Y
% 32.97/33.45 Z := Y
% 32.97/33.46 T := X
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (57609) {G20,W5,D2,L1,V2,M1} R(57601,213) { para( X, Y, X, Y )
% 32.97/33.46 }.
% 32.97/33.46 parent0: (61550) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := Y
% 32.97/33.46 Y := X
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 0 ==> 0
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61551) {G17,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 32.97/33.46 parent0[1]: (20138) {G16,W10,D2,L2,V3,M2} S(818);r(8114) { cyclic( Z, Y, X
% 32.97/33.46 , X ), ! para( X, Z, X, Z ) }.
% 32.97/33.46 parent1[0]: (57609) {G20,W5,D2,L1,V2,M1} R(57601,213) { para( X, Y, X, Y )
% 32.97/33.46 }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := Z
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := X
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := Z
% 32.97/33.46 Y := X
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (60253) {G21,W5,D2,L1,V3,M1} S(20138);r(57609) { cyclic( Z, Y
% 32.97/33.46 , X, X ) }.
% 32.97/33.46 parent0: (61551) {G17,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := Z
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := X
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 0 ==> 0
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61552) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 32.97/33.46 parent0[0]: (361) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 32.97/33.46 cyclic( Y, Z, X, T ) }.
% 32.97/33.46 parent1[0]: (60253) {G21,W5,D2,L1,V3,M1} S(20138);r(57609) { cyclic( Z, Y,
% 32.97/33.46 X, X ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 T := Z
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := Z
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := X
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (60721) {G22,W5,D2,L1,V3,M1} R(60253,361) { cyclic( X, Y, Z, Y
% 32.97/33.46 ) }.
% 32.97/33.46 parent0: (61552) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := Z
% 32.97/33.46 Y := X
% 32.97/33.46 Z := Y
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 0 ==> 0
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61553) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 32.97/33.46 parent0[1]: (360) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 32.97/33.46 cyclic( Y, Z, X, T ) }.
% 32.97/33.46 parent1[0]: (60253) {G21,W5,D2,L1,V3,M1} S(20138);r(57609) { cyclic( Z, Y,
% 32.97/33.46 X, X ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 T := X
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Z
% 32.97/33.46 Z := Y
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (60722) {G22,W5,D2,L1,V3,M1} R(60253,360) { cyclic( X, Y, Z, X
% 32.97/33.46 ) }.
% 32.97/33.46 parent0: (61553) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 0 ==> 0
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61554) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 32.97/33.46 parent0[0]: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 32.97/33.46 cyclic( X, Z, T, Y ) }.
% 32.97/33.46 parent1[0]: (60253) {G21,W5,D2,L1,V3,M1} S(20138);r(57609) { cyclic( Z, Y,
% 32.97/33.46 X, X ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 T := Z
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := Z
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := X
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (60723) {G22,W5,D2,L1,V3,M1} R(60253,352) { cyclic( X, Y, Y, Z
% 32.97/33.46 ) }.
% 32.97/33.46 parent0: (61554) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Z
% 32.97/33.46 Z := Y
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 0 ==> 0
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61556) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 32.97/33.46 , Y, X, Y ) }.
% 32.97/33.46 parent0[1]: (948) {G2,W15,D2,L3,V3,M3} F(916) { ! cyclic( X, Y, Z, X ), !
% 32.97/33.46 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 32.97/33.46 parent1[0]: (60721) {G22,W5,D2,L1,V3,M1} R(60253,361) { cyclic( X, Y, Z, Y
% 32.97/33.46 ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61558) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 32.97/33.46 parent0[0]: (61556) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 32.97/33.46 , Y, X, Y ) }.
% 32.97/33.46 parent1[0]: (60722) {G22,W5,D2,L1,V3,M1} R(60253,360) { cyclic( X, Y, Z, X
% 32.97/33.46 ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (60736) {G23,W5,D2,L1,V2,M1} R(60721,948);r(60722) { cong( X,
% 32.97/33.46 Y, X, Y ) }.
% 32.97/33.46 parent0: (61558) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 0 ==> 0
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61560) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 32.97/33.46 ( Y, Y, Z, T ) }.
% 32.97/33.46 parent0[2]: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 32.97/33.46 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 32.97/33.46 parent1[0]: (60721) {G22,W5,D2,L1,V3,M1} R(60253,361) { cyclic( X, Y, Z, Y
% 32.97/33.46 ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Y
% 32.97/33.46 T := Z
% 32.97/33.46 U := T
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := T
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61561) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 32.97/33.46 parent0[0]: (61560) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 32.97/33.46 ( Y, Y, Z, T ) }.
% 32.97/33.46 parent1[0]: (60723) {G22,W5,D2,L1,V3,M1} R(60253,352) { cyclic( X, Y, Y, Z
% 32.97/33.46 ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 T := T
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (60744) {G23,W5,D2,L1,V3,M1} R(60721,385);r(60723) { cyclic( Y
% 32.97/33.46 , Y, Z, T ) }.
% 32.97/33.46 parent0: (61561) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := U
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 T := T
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 0 ==> 0
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61562) {G2,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Y ), perp( Z,
% 32.97/33.46 X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 32.97/33.46 parent0[1]: (1612) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), !
% 32.97/33.46 cyclic( X, Z, T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong( U
% 32.97/33.46 , W, Z, T ) }.
% 32.97/33.46 parent1[0]: (60744) {G23,W5,D2,L1,V3,M1} R(60721,385);r(60723) { cyclic( Y
% 32.97/33.46 , Y, Z, T ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := X
% 32.97/33.46 T := Z
% 32.97/33.46 U := T
% 32.97/33.46 W := U
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := W
% 32.97/33.46 Y := X
% 32.97/33.46 Z := Z
% 32.97/33.46 T := Y
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61570) {G3,W15,D2,L3,V5,M3} { perp( Z, X, X, Y ), ! cong( X,
% 32.97/33.46 Z, T, U ), ! cong( T, U, X, Z ) }.
% 32.97/33.46 parent0[0]: (61562) {G2,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Y ), perp( Z,
% 32.97/33.46 X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 32.97/33.46 parent1[0]: (60736) {G23,W5,D2,L1,V2,M1} R(60721,948);r(60722) { cong( X, Y
% 32.97/33.46 , X, Y ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 T := T
% 32.97/33.46 U := U
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (60765) {G24,W15,D2,L3,V5,M3} R(60744,1612);r(60736) { perp( Z
% 32.97/33.46 , X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 32.97/33.46 parent0: (61570) {G3,W15,D2,L3,V5,M3} { perp( Z, X, X, Y ), ! cong( X, Z,
% 32.97/33.46 T, U ), ! cong( T, U, X, Z ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 T := T
% 32.97/33.46 U := U
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 0 ==> 0
% 32.97/33.46 1 ==> 1
% 32.97/33.46 2 ==> 2
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 factor: (61572) {G24,W10,D2,L2,V3,M2} { perp( X, Y, Y, Z ), ! cong( Y, X,
% 32.97/33.46 Y, X ) }.
% 32.97/33.46 parent0[1, 2]: (60765) {G24,W15,D2,L3,V5,M3} R(60744,1612);r(60736) { perp
% 32.97/33.46 ( Z, X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := Y
% 32.97/33.46 Y := Z
% 32.97/33.46 Z := X
% 32.97/33.46 T := Y
% 32.97/33.46 U := X
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61573) {G24,W5,D2,L1,V3,M1} { perp( X, Y, Y, Z ) }.
% 32.97/33.46 parent0[1]: (61572) {G24,W10,D2,L2,V3,M2} { perp( X, Y, Y, Z ), ! cong( Y
% 32.97/33.46 , X, Y, X ) }.
% 32.97/33.46 parent1[0]: (60736) {G23,W5,D2,L1,V2,M1} R(60721,948);r(60722) { cong( X, Y
% 32.97/33.46 , X, Y ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := Y
% 32.97/33.46 Y := X
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (60788) {G25,W5,D2,L1,V3,M1} F(60765);r(60736) { perp( X, Y, Y
% 32.97/33.46 , Z ) }.
% 32.97/33.46 parent0: (61573) {G24,W5,D2,L1,V3,M1} { perp( X, Y, Y, Z ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 X := X
% 32.97/33.46 Y := Y
% 32.97/33.46 Z := Z
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 0 ==> 0
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 resolution: (61574) {G20,W0,D0,L0,V0,M0} { }.
% 32.97/33.46 parent0[0]: (42192) {G19,W8,D3,L1,V0,M1} R(42111,291) { ! perp( skol22,
% 32.97/33.46 skol23, skol23, skol16( skol23, skol20, skol24 ) ) }.
% 32.97/33.46 parent1[0]: (60788) {G25,W5,D2,L1,V3,M1} F(60765);r(60736) { perp( X, Y, Y
% 32.97/33.46 , Z ) }.
% 32.97/33.46 substitution0:
% 32.97/33.46 end
% 32.97/33.46 substitution1:
% 32.97/33.46 X := skol22
% 32.97/33.46 Y := skol23
% 32.97/33.46 Z := skol16( skol23, skol20, skol24 )
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 subsumption: (60826) {G26,W0,D0,L0,V0,M0} R(60788,42192) { }.
% 32.97/33.46 parent0: (61574) {G20,W0,D0,L0,V0,M0} { }.
% 32.97/33.46 substitution0:
% 32.97/33.46 end
% 32.97/33.46 permutation0:
% 32.97/33.46 end
% 32.97/33.46
% 32.97/33.46 Proof check complete!
% 32.97/33.46
% 32.97/33.46 Memory use:
% 32.97/33.46
% 32.97/33.46 space for terms: 893155
% 32.97/33.46 space for clauses: 3101408
% 32.97/33.46
% 32.97/33.46
% 32.97/33.46 clauses generated: 435405
% 32.97/33.46 clauses kept: 60827
% 32.97/33.46 clauses selected: 3828
% 32.97/33.46 clauses deleted: 26913
% 32.97/33.46 clauses inuse deleted: 1349
% 32.97/33.46
% 32.97/33.46 subsentry: 6924955
% 32.97/33.46 literals s-matched: 4450893
% 32.97/33.46 literals matched: 2549590
% 32.97/33.46 full subsumption: 1342393
% 32.97/33.46
% 32.97/33.46 checksum: 1309338612
% 32.97/33.46
% 32.97/33.46
% 32.97/33.46 Bliksem ended
%------------------------------------------------------------------------------