%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO632+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 02:55:14 EDT 2022
% Result : Theorem 2.55s 2.98s
% Output : Refutation 2.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO632+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jun 17 20:59:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.14 *** allocated 10000 integers for termspace/termends
% 0.71/1.14 *** allocated 10000 integers for clauses
% 0.71/1.14 *** allocated 10000 integers for justifications
% 0.71/1.14 Bliksem 1.12
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Automatic Strategy Selection
% 0.71/1.14
% 0.71/1.14 *** allocated 15000 integers for termspace/termends
% 0.71/1.14
% 0.71/1.14 Clauses:
% 0.71/1.14
% 0.71/1.14 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.71/1.14 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.71/1.14 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.71/1.14 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.71/1.14 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.71/1.14 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.14 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.71/1.14 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.71/1.14 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.14 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.71/1.14 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.71/1.14 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.71/1.14 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.71/1.14 ( X, Y, Z, T ) }.
% 0.71/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.71/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.71/1.14 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.71/1.14 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.71/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.71/1.14 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.14 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.71/1.14 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.71/1.14 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.71/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.71/1.14 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.14 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.71/1.14 ( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.71/1.14 ( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.71/1.14 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.71/1.14 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.71/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.71/1.14 T ) }.
% 0.71/1.14 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.71/1.14 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.71/1.14 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.71/1.14 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.71/1.14 ) }.
% 0.71/1.14 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.71/1.14 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.71/1.14 }.
% 0.71/1.14 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.71/1.14 Z, Y ) }.
% 0.71/1.14 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.71/1.14 X, Z ) }.
% 0.71/1.14 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.71/1.14 U ) }.
% 0.71/1.14 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.71/1.14 , Z ), midp( Z, X, Y ) }.
% 0.71/1.14 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.71/1.14 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.71/1.14 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.71/1.14 Z, Y ) }.
% 0.71/1.14 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.71/1.14 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.71/1.14 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.71/1.14 ( Y, X, X, Z ) }.
% 0.71/1.14 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.71/1.14 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.14 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.71/1.14 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.71/1.14 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.71/1.14 , W ) }.
% 0.71/1.14 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.71/1.14 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.71/1.14 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.71/1.14 , Y ) }.
% 0.71/1.14 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.71/1.14 , X, Z, U, Y, Y, T ) }.
% 0.71/1.14 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.71/1.14 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.71/1.14 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.71/1.14 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.71/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.71/1.14 .
% 0.71/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.71/1.14 ) }.
% 0.71/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.71/1.14 , Z, T ) }.
% 0.71/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.71/1.14 , Z, T ) }.
% 0.71/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.71/1.14 , Z, T ) }.
% 0.71/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.71/1.14 , W, Z, T ), Z, T ) }.
% 0.71/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.71/1.14 , Y, Z, T ), X, Y ) }.
% 0.71/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.71/1.14 , W, Z, T ), Z, T ) }.
% 0.71/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.14 skol2( X, Y, Z, T ) ) }.
% 0.71/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.71/1.14 , W, Z, T ), Z, T ) }.
% 0.71/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.14 skol3( X, Y, Z, T ) ) }.
% 0.71/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.71/1.14 , T ) }.
% 0.71/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.71/1.14 ) ) }.
% 0.71/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.71/1.14 skol5( W, Y, Z, T ) ) }.
% 0.71/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.71/1.14 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.71/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.71/1.14 , X, T ) }.
% 0.71/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.71/1.14 W, X, Z ) }.
% 0.71/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.71/1.14 , Y, T ) }.
% 0.71/1.14 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.71/1.14 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.71/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.14 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.71/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.14 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.71/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.71/1.14 Z, T ) ) }.
% 0.71/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.71/1.14 , T ) ) }.
% 0.71/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.71/1.14 , X, Y ) }.
% 0.71/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.71/1.14 ) }.
% 0.71/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.71/1.14 , Y ) }.
% 0.71/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.71/1.14 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.71/1.14 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.71/1.14 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.71/1.14 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.55/2.98 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.55/2.98 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.55/2.98 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.55/2.98 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.55/2.98 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.55/2.98 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.55/2.98 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.55/2.98 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.55/2.98 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.55/2.98 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.55/2.98 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.98 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.55/2.98 X, Y, Z ) }.
% 2.55/2.98 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.55/2.98 }.
% 2.55/2.98 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.55/2.98 ) }.
% 2.55/2.98 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.55/2.98 skol17( X, Y ), X, Y ) }.
% 2.55/2.98 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.55/2.98 }.
% 2.55/2.98 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.55/2.98 ) }.
% 2.55/2.98 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.55/2.98 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.55/2.98 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.55/2.98 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.55/2.98 { midp( skol25, skol22, skol20 ) }.
% 2.55/2.98 { eqangle( skol27, skol26, skol26, skol20, skol22, skol26, skol26, skol25 )
% 2.55/2.98 }.
% 2.55/2.98 { coll( skol27, skol20, skol22 ) }.
% 2.55/2.98 { circle( skol28, skol26, skol20, skol22 ) }.
% 2.55/2.98 { circle( skol28, skol26, skol23, skol29 ) }.
% 2.55/2.98 { coll( skol23, skol26, skol25 ) }.
% 2.55/2.98 { circle( skol28, skol26, skol24, skol30 ) }.
% 2.55/2.98 { coll( skol24, skol26, skol27 ) }.
% 2.55/2.98 { ! para( skol20, skol22, skol23, skol24 ) }.
% 2.55/2.98
% 2.55/2.98 percentage equality = 0.008746, percentage horn = 0.928000
% 2.55/2.98 This is a problem with some equality
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Options Used:
% 2.55/2.98
% 2.55/2.98 useres = 1
% 2.55/2.98 useparamod = 1
% 2.55/2.98 useeqrefl = 1
% 2.55/2.98 useeqfact = 1
% 2.55/2.98 usefactor = 1
% 2.55/2.98 usesimpsplitting = 0
% 2.55/2.98 usesimpdemod = 5
% 2.55/2.98 usesimpres = 3
% 2.55/2.98
% 2.55/2.98 resimpinuse = 1000
% 2.55/2.98 resimpclauses = 20000
% 2.55/2.98 substype = eqrewr
% 2.55/2.98 backwardsubs = 1
% 2.55/2.98 selectoldest = 5
% 2.55/2.98
% 2.55/2.98 litorderings [0] = split
% 2.55/2.98 litorderings [1] = extend the termordering, first sorting on arguments
% 2.55/2.98
% 2.55/2.98 termordering = kbo
% 2.55/2.98
% 2.55/2.98 litapriori = 0
% 2.55/2.98 termapriori = 1
% 2.55/2.98 litaposteriori = 0
% 2.55/2.98 termaposteriori = 0
% 2.55/2.98 demodaposteriori = 0
% 2.55/2.98 ordereqreflfact = 0
% 2.55/2.98
% 2.55/2.98 litselect = negord
% 2.55/2.98
% 2.55/2.98 maxweight = 15
% 2.55/2.98 maxdepth = 30000
% 2.55/2.98 maxlength = 115
% 2.55/2.98 maxnrvars = 195
% 2.55/2.98 excuselevel = 1
% 2.55/2.98 increasemaxweight = 1
% 2.55/2.98
% 2.55/2.98 maxselected = 10000000
% 2.55/2.98 maxnrclauses = 10000000
% 2.55/2.98
% 2.55/2.98 showgenerated = 0
% 2.55/2.98 showkept = 0
% 2.55/2.98 showselected = 0
% 2.55/2.98 showdeleted = 0
% 2.55/2.98 showresimp = 1
% 2.55/2.98 showstatus = 2000
% 2.55/2.98
% 2.55/2.98 prologoutput = 0
% 2.55/2.98 nrgoals = 5000000
% 2.55/2.98 totalproof = 1
% 2.55/2.98
% 2.55/2.98 Symbols occurring in the translation:
% 2.55/2.98
% 2.55/2.98 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.55/2.98 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 2.55/2.98 ! [4, 1] (w:0, o:38, a:1, s:1, b:0),
% 2.55/2.98 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.55/2.98 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.55/2.98 coll [38, 3] (w:1, o:71, a:1, s:1, b:0),
% 2.55/2.98 para [40, 4] (w:1, o:79, a:1, s:1, b:0),
% 2.55/2.98 perp [43, 4] (w:1, o:80, a:1, s:1, b:0),
% 2.55/2.98 midp [45, 3] (w:1, o:72, a:1, s:1, b:0),
% 2.55/2.98 cong [47, 4] (w:1, o:81, a:1, s:1, b:0),
% 2.55/2.98 circle [48, 4] (w:1, o:82, a:1, s:1, b:0),
% 2.55/2.98 cyclic [49, 4] (w:1, o:83, a:1, s:1, b:0),
% 2.55/2.98 eqangle [54, 8] (w:1, o:98, a:1, s:1, b:0),
% 2.55/2.98 eqratio [57, 8] (w:1, o:99, a:1, s:1, b:0),
% 2.55/2.98 simtri [59, 6] (w:1, o:95, a:1, s:1, b:0),
% 2.55/2.98 contri [60, 6] (w:1, o:96, a:1, s:1, b:0),
% 2.55/2.98 alpha1 [68, 3] (w:1, o:73, a:1, s:1, b:1),
% 2.55/2.98 alpha2 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 2.55/2.98 skol1 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 2.55/2.98 skol2 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 2.55/2.98 skol3 [72, 4] (w:1, o:89, a:1, s:1, b:1),
% 2.55/2.98 skol4 [73, 4] (w:1, o:90, a:1, s:1, b:1),
% 2.55/2.98 skol5 [74, 4] (w:1, o:91, a:1, s:1, b:1),
% 2.55/2.98 skol6 [75, 6] (w:1, o:97, a:1, s:1, b:1),
% 2.55/2.98 skol7 [76, 2] (w:1, o:67, a:1, s:1, b:1),
% 2.55/2.98 skol8 [77, 4] (w:1, o:92, a:1, s:1, b:1),
% 2.55/2.98 skol9 [78, 4] (w:1, o:93, a:1, s:1, b:1),
% 2.55/2.98 skol10 [79, 3] (w:1, o:74, a:1, s:1, b:1),
% 2.55/2.98 skol11 [80, 3] (w:1, o:75, a:1, s:1, b:1),
% 2.55/2.98 skol12 [81, 2] (w:1, o:68, a:1, s:1, b:1),
% 2.55/2.98 skol13 [82, 5] (w:1, o:94, a:1, s:1, b:1),
% 2.55/2.98 skol14 [83, 3] (w:1, o:76, a:1, s:1, b:1),
% 2.55/2.98 skol15 [84, 3] (w:1, o:77, a:1, s:1, b:1),
% 2.55/2.98 skol16 [85, 3] (w:1, o:78, a:1, s:1, b:1),
% 2.55/2.98 skol17 [86, 2] (w:1, o:69, a:1, s:1, b:1),
% 2.55/2.98 skol18 [87, 2] (w:1, o:70, a:1, s:1, b:1),
% 2.55/2.98 skol19 [88, 4] (w:1, o:86, a:1, s:1, b:1),
% 2.55/2.98 skol20 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 2.55/2.98 skol21 [90, 4] (w:1, o:88, a:1, s:1, b:1),
% 2.55/2.98 skol22 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 2.55/2.98 skol23 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 2.55/2.98 skol24 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 2.55/2.98 skol25 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 2.55/2.98 skol26 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 2.55/2.98 skol27 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 2.55/2.98 skol28 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 2.55/2.98 skol29 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 2.55/2.98 skol30 [99, 0] (w:1, o:37, a:1, s:1, b:1).
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Starting Search:
% 2.55/2.98
% 2.55/2.98 *** allocated 15000 integers for clauses
% 2.55/2.98 *** allocated 22500 integers for clauses
% 2.55/2.98 *** allocated 33750 integers for clauses
% 2.55/2.98 *** allocated 22500 integers for termspace/termends
% 2.55/2.98 *** allocated 50625 integers for clauses
% 2.55/2.98 *** allocated 75937 integers for clauses
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98 *** allocated 33750 integers for termspace/termends
% 2.55/2.98 *** allocated 113905 integers for clauses
% 2.55/2.98 *** allocated 50625 integers for termspace/termends
% 2.55/2.98
% 2.55/2.98 Intermediate Status:
% 2.55/2.98 Generated: 11049
% 2.55/2.98 Kept: 2036
% 2.55/2.98 Inuse: 336
% 2.55/2.98 Deleted: 0
% 2.55/2.98 Deletedinuse: 0
% 2.55/2.98
% 2.55/2.98 *** allocated 170857 integers for clauses
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98 *** allocated 75937 integers for termspace/termends
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98 *** allocated 256285 integers for clauses
% 2.55/2.98 *** allocated 113905 integers for termspace/termends
% 2.55/2.98
% 2.55/2.98 Intermediate Status:
% 2.55/2.98 Generated: 23967
% 2.55/2.98 Kept: 4040
% 2.55/2.98 Inuse: 476
% 2.55/2.98 Deleted: 0
% 2.55/2.98 Deletedinuse: 0
% 2.55/2.98
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98 *** allocated 384427 integers for clauses
% 2.55/2.98 *** allocated 170857 integers for termspace/termends
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Intermediate Status:
% 2.55/2.98 Generated: 38302
% 2.55/2.98 Kept: 6105
% 2.55/2.98 Inuse: 546
% 2.55/2.98 Deleted: 0
% 2.55/2.98 Deletedinuse: 0
% 2.55/2.98
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98 *** allocated 576640 integers for clauses
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Intermediate Status:
% 2.55/2.98 Generated: 52800
% 2.55/2.98 Kept: 8113
% 2.55/2.98 Inuse: 705
% 2.55/2.98 Deleted: 40
% 2.55/2.98 Deletedinuse: 0
% 2.55/2.98
% 2.55/2.98 *** allocated 256285 integers for termspace/termends
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Intermediate Status:
% 2.55/2.98 Generated: 64091
% 2.55/2.98 Kept: 10121
% 2.55/2.98 Inuse: 932
% 2.55/2.98 Deleted: 822
% 2.55/2.98 Deletedinuse: 558
% 2.55/2.98
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98 *** allocated 864960 integers for clauses
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Intermediate Status:
% 2.55/2.98 Generated: 80170
% 2.55/2.98 Kept: 12122
% 2.55/2.98 Inuse: 1282
% 2.55/2.98 Deleted: 832
% 2.55/2.98 Deletedinuse: 559
% 2.55/2.98
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Intermediate Status:
% 2.55/2.98 Generated: 106926
% 2.55/2.98 Kept: 14165
% 2.55/2.98 Inuse: 1752
% 2.55/2.98 Deleted: 904
% 2.55/2.98 Deletedinuse: 570
% 2.55/2.98
% 2.55/2.98 *** allocated 384427 integers for termspace/termends
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Intermediate Status:
% 2.55/2.98 Generated: 126437
% 2.55/2.98 Kept: 16168
% 2.55/2.98 Inuse: 1967
% 2.55/2.98 Deleted: 934
% 2.55/2.98 Deletedinuse: 570
% 2.55/2.98
% 2.55/2.98 *** allocated 1297440 integers for clauses
% 2.55/2.98 Resimplifying inuse:
% 2.55/2.98 Done
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Bliksems!, er is een bewijs:
% 2.55/2.98 % SZS status Theorem
% 2.55/2.98 % SZS output start Refutation
% 2.55/2.98
% 2.55/2.98 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.55/2.98 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.55/2.98 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 2.55/2.98 , Z, X ) }.
% 2.55/2.98 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 2.55/2.98 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 2.55/2.98 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 2.55/2.98 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 2.55/2.98 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 2.55/2.98 para( X, Y, Z, T ) }.
% 2.55/2.98 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 2.55/2.98 perp( X, Y, Z, T ) }.
% 2.55/2.98 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.55/2.98 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 2.55/2.98 circle( T, X, Y, Z ) }.
% 2.55/2.98 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 2.55/2.98 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.55/2.98 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 2.55/2.98 ), cyclic( X, Y, Z, T ) }.
% 2.55/2.98 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.98 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.55/2.98 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.98 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.55/2.98 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 2.55/2.98 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 2.55/2.98 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 2.55/2.98 cong( X, Y, Z, T ) }.
% 2.55/2.98 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 2.55/2.98 , T, U, W ) }.
% 2.55/2.98 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 2.55/2.98 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.55/2.98 , Y, Z, T ) }.
% 2.55/2.98 (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X
% 2.55/2.98 , Y, Z, Y ) }.
% 2.55/2.98 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 2.55/2.98 ( X, Z, Y, Z ) }.
% 2.55/2.98 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 2.55/2.98 perp( X, Y, Z, T ) }.
% 2.55/2.98 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 2.55/2.98 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.55/2.98 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 2.55/2.98 , Z, Y, T ) }.
% 2.55/2.98 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.55/2.98 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.55/2.98 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.55/2.98 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.55/2.98 (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X
% 2.55/2.98 , Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.55/2.98 (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp
% 2.55/2.98 ( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.55/2.98 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 2.55/2.98 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.55/2.98 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 2.55/2.98 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.55/2.98 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 2.55/2.98 , X, X, Y ) }.
% 2.55/2.98 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.55/2.98 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.98 (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 ) }.
% 2.55/2.98 (118) {G0,W4,D2,L1,V0,M1} I { coll( skol27, skol20, skol22 ) }.
% 2.55/2.98 (124) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol23, skol24 ) }.
% 2.55/2.98 (127) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 2.55/2.98 ) }.
% 2.55/2.98 (130) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 2.55/2.98 ), cyclic( Y, Z, T, T ) }.
% 2.55/2.98 (131) {G2,W10,D2,L2,V3,M2} F(130) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 2.55/2.98 Z ) }.
% 2.55/2.98 (132) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 2.55/2.98 , T ) }.
% 2.55/2.98 (135) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), ! cyclic( X, Y,
% 2.55/2.98 Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 2.55/2.98 (137) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp( X, Z, Y, Y )
% 2.55/2.98 }.
% 2.55/2.98 (138) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 2.55/2.98 , Y ), perp( Y, X, X, Y ) }.
% 2.55/2.98 (140) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 2.55/2.98 (141) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 2.55/2.98 , midp( X, T, T ) }.
% 2.55/2.98 (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 2.55/2.98 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.55/2.98 (153) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp( X, skol10( X
% 2.55/2.98 , X, Z ), Z, X ) }.
% 2.55/2.98 (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 2.55/2.98 (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 2.55/2.98 (170) {G1,W4,D2,L1,V0,M1} R(1,118) { coll( skol20, skol27, skol22 ) }.
% 2.55/2.98 (196) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 2.55/2.98 coll( Z, X, T ) }.
% 2.55/2.98 (203) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 2.55/2.98 (227) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 2.55/2.98 ) }.
% 2.55/2.98 (253) {G3,W4,D2,L1,V0,M1} R(203,170) { coll( skol22, skol20, skol22 ) }.
% 2.55/2.98 (259) {G3,W12,D2,L3,V4,M3} R(203,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 2.55/2.98 coll( X, Z, T ) }.
% 2.55/2.98 (274) {G4,W8,D2,L2,V3,M2} F(259) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 2.55/2.98 (279) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 2.55/2.98 ) }.
% 2.55/2.98 (280) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 2.55/2.98 ) }.
% 2.55/2.98 (289) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 2.55/2.98 ), ! perp( U, W, Z, T ) }.
% 2.55/2.98 (290) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 2.55/2.98 ), ! perp( U, W, Y, X ) }.
% 2.55/2.98 (302) {G1,W10,D2,L2,V2,M2} R(8,124) { ! perp( skol20, skol22, X, Y ), !
% 2.55/2.98 perp( X, Y, skol23, skol24 ) }.
% 2.55/2.98 (305) {G2,W10,D2,L2,V4,M2} F(289) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 2.55/2.98 ) }.
% 2.55/2.98 (313) {G4,W4,D2,L1,V0,M1} R(253,0) { coll( skol22, skol22, skol20 ) }.
% 2.55/2.98 (321) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp( U, W, Z, T
% 2.55/2.98 ), ! para( U, W, Y, X ) }.
% 2.55/2.98 (329) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol25, skol20, skol22 ) }.
% 2.55/2.98 (424) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.55/2.98 (425) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.55/2.98 (426) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 2.55/2.98 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.55/2.98 (438) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.55/2.98 (478) {G5,W8,D2,L2,V3,M2} R(274,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 2.55/2.98 (493) {G6,W8,D2,L2,V3,M2} R(478,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 2.55/2.98 (494) {G6,W8,D2,L2,V3,M2} R(478,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 2.55/2.98 (498) {G7,W8,D2,L2,V3,M2} R(494,494) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 2.55/2.98 }.
% 2.55/2.98 (503) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( X, Y, U,
% 2.55/2.98 W ), ! cong( U, W, Z, T ) }.
% 2.55/2.98 (514) {G2,W10,D2,L2,V4,M2} F(503) { ! cong( X, Y, Z, T ), cong( X, Y, X, Y
% 2.55/2.98 ) }.
% 2.55/2.98 (516) {G8,W12,D2,L3,V4,M3} R(498,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 2.55/2.98 , coll( T, Y, X ) }.
% 2.55/2.98 (517) {G9,W8,D2,L2,V3,M2} F(516) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 2.55/2.98 (521) {G10,W8,D2,L2,V3,M2} R(517,493) { coll( X, X, Y ), ! coll( Z, X, Y )
% 2.55/2.98 }.
% 2.55/2.98 (547) {G2,W8,D2,L2,V3,M2} R(69,168) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 2.55/2.98 }.
% 2.55/2.98 (554) {G11,W8,D2,L2,V3,M2} R(69,521) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 2.55/2.98 }.
% 2.55/2.98 (573) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 2.55/2.98 (574) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol25, skol22, skol20 ) }.
% 2.55/2.98 (628) {G2,W8,D2,L2,V1,M2} R(574,2) { ! coll( skol25, skol22, X ), coll(
% 2.55/2.98 skol20, X, skol25 ) }.
% 2.55/2.98 (723) {G3,W8,D2,L2,V1,M2} R(628,169) { coll( skol20, X, skol25 ), ! coll( X
% 2.55/2.98 , skol25, skol22 ) }.
% 2.55/2.98 (1774) {G4,W8,D2,L2,V1,M2} R(723,169) { ! coll( X, skol25, skol22 ), coll(
% 2.55/2.98 X, skol25, skol20 ) }.
% 2.55/2.98 (1792) {G5,W12,D2,L3,V2,M3} R(1774,2) { ! coll( X, skol25, skol22 ), ! coll
% 2.55/2.98 ( X, skol25, Y ), coll( skol20, Y, X ) }.
% 2.55/2.98 (1797) {G6,W8,D2,L2,V1,M2} F(1792) { ! coll( X, skol25, skol22 ), coll(
% 2.55/2.98 skol20, skol22, X ) }.
% 2.55/2.98 (2399) {G2,W5,D2,L1,V0,M1} R(68,329) { cong( skol25, skol20, skol25, skol22
% 2.55/2.98 ) }.
% 2.55/2.98 (2400) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol25, skol22, skol25, skol20
% 2.55/2.98 ) }.
% 2.55/2.98 (2409) {G3,W5,D2,L1,V0,M1} R(2399,22) { cong( skol25, skol20, skol22,
% 2.55/2.98 skol25 ) }.
% 2.55/2.98 (2862) {G7,W8,D2,L2,V1,M2} R(1797,573) { coll( skol20, skol22, X ), ! midp
% 2.55/2.98 ( skol25, X, skol22 ) }.
% 2.55/2.98 (2865) {G7,W8,D2,L2,V1,M2} R(1797,547) { coll( skol20, skol22, X ), ! midp
% 2.55/2.98 ( skol25, skol22, X ) }.
% 2.55/2.98 (2888) {G8,W8,D2,L2,V1,M2} R(2862,0) { ! midp( skol25, X, skol22 ), coll(
% 2.55/2.98 skol20, X, skol22 ) }.
% 2.55/2.98 (6961) {G3,W5,D2,L1,V0,M1} R(127,2399) { circle( skol25, skol20, skol22,
% 2.55/2.98 skol22 ) }.
% 2.55/2.98 (7057) {G4,W7,D3,L1,V0,M1} R(6961,100) { perp( skol12( skol20, skol25 ),
% 2.55/2.98 skol20, skol20, skol25 ) }.
% 2.55/2.98 (7117) {G3,W5,D2,L1,V0,M1} R(131,2400) { cyclic( skol22, skol20, skol20,
% 2.55/2.98 skol20 ) }.
% 2.55/2.98 (7150) {G4,W5,D2,L1,V0,M1} R(132,7117) { cyclic( skol20, skol20, skol20,
% 2.55/2.98 skol20 ) }.
% 2.55/2.98 (7807) {G8,W14,D3,L3,V2,M3} R(147,2865);r(313) { ! midp( X, skol22, skol20
% 2.55/2.98 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol25, skol22, skol20
% 2.55/2.98 ) }.
% 2.55/2.98 (7818) {G9,W14,D3,L3,V2,M3} R(147,2888);r(253) { ! midp( X, skol20, skol22
% 2.55/2.98 ), midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol25, skol20, skol22
% 2.55/2.98 ) }.
% 2.55/2.98 (7907) {G10,W6,D3,L1,V1,M1} F(7818);r(329) { midp( skol7( skol20, X ),
% 2.55/2.98 skol20, X ) }.
% 2.55/2.98 (7908) {G9,W6,D3,L1,V1,M1} F(7807);r(116) { midp( skol7( skol22, X ),
% 2.55/2.98 skol22, X ) }.
% 2.55/2.98 (7960) {G12,W4,D2,L1,V1,M1} R(7908,554) { coll( skol22, skol22, X ) }.
% 2.55/2.98 (8019) {G13,W4,D2,L1,V2,M1} R(7960,2);r(7960) { coll( Y, X, skol22 ) }.
% 2.55/2.98 (8044) {G14,W4,D2,L1,V2,M1} R(8019,169) { coll( X, skol22, Y ) }.
% 2.55/2.98 (8057) {G15,W4,D2,L1,V3,M1} R(8044,2);r(8044) { coll( Z, Y, X ) }.
% 2.55/2.98 (8117) {G11,W5,D2,L1,V1,M1} R(7907,140) { para( skol20, skol20, X, X ) }.
% 2.55/2.98 (8133) {G11,W6,D3,L1,V1,M1} R(7907,10) { midp( skol7( skol20, X ), X,
% 2.55/2.98 skol20 ) }.
% 2.55/2.98 (8141) {G12,W5,D2,L1,V1,M1} R(8117,4) { para( X, X, skol20, skol20 ) }.
% 2.55/2.98 (8145) {G13,W9,D2,L1,V3,M1} R(8141,39) { eqangle( X, X, Y, Z, skol20,
% 2.55/2.98 skol20, Y, Z ) }.
% 2.55/2.98 (8191) {G5,W7,D3,L1,V0,M1} R(7057,7) { perp( skol20, skol25, skol12( skol20
% 2.55/2.98 , skol25 ), skol20 ) }.
% 2.55/2.98 (8200) {G6,W7,D3,L1,V0,M1} R(8191,6) { perp( skol20, skol25, skol20, skol12
% 2.55/2.98 ( skol20, skol25 ) ) }.
% 2.55/2.98 (8208) {G7,W7,D3,L1,V0,M1} R(8200,7) { perp( skol20, skol12( skol20, skol25
% 2.55/2.98 ), skol20, skol25 ) }.
% 2.55/2.98 (8217) {G8,W7,D3,L1,V0,M1} R(8208,6) { perp( skol20, skol12( skol20, skol25
% 2.55/2.98 ), skol25, skol20 ) }.
% 2.55/2.98 (8226) {G9,W7,D3,L1,V0,M1} R(8217,7) { perp( skol25, skol20, skol20, skol12
% 2.55/2.98 ( skol20, skol25 ) ) }.
% 2.55/2.98 (8228) {G16,W8,D3,L1,V2,M1} R(8226,110);r(8057) { perp( skol16( skol25, X,
% 2.55/2.98 Y ), skol25, X, Y ) }.
% 2.55/2.98 (8336) {G17,W8,D3,L1,V2,M1} R(8228,7) { perp( X, Y, skol16( skol25, X, Y )
% 2.55/2.98 , skol25 ) }.
% 2.55/2.98 (8363) {G18,W8,D3,L1,V2,M1} R(8336,6) { perp( X, Y, skol25, skol16( skol25
% 2.55/2.98 , X, Y ) ) }.
% 2.55/2.98 (8367) {G19,W8,D3,L1,V3,M1} R(8363,110);r(8057) { perp( skol16( X, Y, Z ),
% 2.55/2.98 X, Y, Z ) }.
% 2.55/2.98 (8398) {G20,W8,D3,L1,V3,M1} R(8367,7) { perp( X, Y, skol16( Z, X, Y ), Z )
% 2.55/2.98 }.
% 2.55/2.98 (8408) {G21,W8,D3,L1,V3,M1} R(8398,6) { perp( X, Y, Z, skol16( Z, X, Y ) )
% 2.55/2.98 }.
% 2.55/2.98 (8439) {G22,W8,D3,L1,V3,M1} R(8408,7) { perp( X, skol16( X, Y, Z ), Y, Z )
% 2.55/2.98 }.
% 2.55/2.98 (8442) {G23,W8,D3,L1,V2,M1} R(8439,153) { perp( X, skol10( X, X, Y ), Y, X
% 2.55/2.98 ) }.
% 2.55/2.98 (8569) {G24,W8,D3,L1,V2,M1} R(8442,7) { perp( X, Y, Y, skol10( Y, Y, X ) )
% 2.55/2.98 }.
% 2.55/2.98 (8577) {G25,W8,D3,L1,V2,M1} R(8569,6) { perp( X, Y, skol10( Y, Y, X ), Y )
% 2.55/2.98 }.
% 2.55/2.98 (8602) {G26,W8,D3,L1,V2,M1} R(8577,7) { perp( skol10( X, X, Y ), X, Y, X )
% 2.55/2.98 }.
% 2.55/2.98 (8610) {G27,W8,D3,L1,V2,M1} R(8602,6) { perp( skol10( X, X, Y ), X, X, Y )
% 2.55/2.98 }.
% 2.55/2.98 (8616) {G28,W8,D3,L1,V2,M1} R(8610,7) { perp( X, Y, skol10( X, X, Y ), X )
% 2.55/2.98 }.
% 2.55/2.98 (8621) {G29,W8,D3,L1,V2,M1} R(8616,6) { perp( X, Y, X, skol10( X, X, Y ) )
% 2.55/2.98 }.
% 2.55/2.98 (9755) {G30,W5,D2,L1,V2,M1} R(305,8621) { para( X, Y, X, Y ) }.
% 2.55/2.98 (9759) {G31,W8,D2,L2,V3,M2} R(9755,141) { ! midp( X, Y, Y ), midp( X, Z, Z
% 2.55/2.98 ) }.
% 2.55/2.98 (10536) {G32,W6,D3,L1,V1,M1} R(9759,8133) { midp( skol7( skol20, skol20 ),
% 2.55/2.98 X, X ) }.
% 2.55/2.98 (11322) {G14,W5,D2,L1,V0,M1} R(8145,135);f;r(7150) { cong( skol20, skol20,
% 2.55/2.98 skol20, skol20 ) }.
% 2.55/2.98 (11331) {G15,W5,D2,L1,V0,M1} R(11322,138);r(7150) { perp( skol20, skol20,
% 2.55/2.98 skol20, skol20 ) }.
% 2.55/2.98 (11347) {G16,W10,D2,L2,V2,M2} R(11331,321) { perp( X, Y, skol20, skol20 ),
% 2.55/2.98 ! para( X, Y, skol20, skol20 ) }.
% 2.55/2.98 (11364) {G16,W10,D2,L2,V2,M2} R(11331,290) { ! perp( skol20, skol20, X, Y )
% 2.55/2.98 , para( skol20, skol20, X, Y ) }.
% 2.55/2.98 (12531) {G4,W5,D2,L1,V0,M1} R(514,2409) { cong( skol25, skol20, skol25,
% 2.55/2.98 skol20 ) }.
% 2.55/2.98 (12792) {G5,W9,D2,L1,V0,M1} R(12531,46) { eqangle( skol25, skol20, skol20,
% 2.55/2.98 skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/2.98 (13436) {G6,W9,D2,L1,V0,M1} R(12792,438) { eqangle( skol20, skol25, skol20
% 2.55/2.98 , skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/2.98 (13440) {G17,W5,D2,L1,V0,M1} R(12792,71);r(11347) { perp( skol25, skol20,
% 2.55/2.98 skol20, skol20 ) }.
% 2.55/2.98 (13467) {G18,W5,D2,L1,V0,M1} R(13440,279) { perp( skol20, skol20, skol25,
% 2.55/2.98 skol20 ) }.
% 2.55/2.98 (13663) {G7,W9,D2,L1,V0,M1} R(13436,424) { eqangle( skol25, skol20, skol20
% 2.55/2.98 , skol20, skol20, skol20, skol20, skol25 ) }.
% 2.55/2.98 (13665) {G8,W9,D2,L1,V0,M1} R(13663,425) { eqangle( skol20, skol20, skol20
% 2.55/2.98 , skol25, skol20, skol25, skol20, skol20 ) }.
% 2.55/2.98 (13666) {G17,W5,D2,L1,V0,M1} R(13665,71);r(11364) { para( skol20, skol20,
% 2.55/2.98 skol20, skol25 ) }.
% 2.55/2.98 (13690) {G18,W5,D2,L1,V0,M1} R(13666,227) { para( skol20, skol25, skol20,
% 2.55/2.98 skol20 ) }.
% 2.55/2.98 (13693) {G19,W8,D2,L2,V1,M2} R(13666,64);r(13690) { ! midp( X, skol20,
% 2.55/2.98 skol20 ), midp( X, skol20, skol25 ) }.
% 2.55/2.98 (13699) {G18,W5,D2,L1,V0,M1} R(13666,3) { para( skol20, skol20, skol25,
% 2.55/2.98 skol20 ) }.
% 2.55/2.98 (13751) {G19,W8,D2,L2,V1,M2} R(13699,64);r(13699) { ! midp( X, skol20,
% 2.55/2.98 skol25 ), midp( X, skol20, skol20 ) }.
% 2.55/2.98 (13753) {G19,W9,D2,L1,V2,M1} R(13699,39) { eqangle( skol20, skol20, X, Y,
% 2.55/2.98 skol25, skol20, X, Y ) }.
% 2.55/2.98 (13758) {G32,W8,D2,L2,V2,M2} R(13751,9759) { ! midp( X, skol20, skol25 ),
% 2.55/2.98 midp( X, Y, Y ) }.
% 2.55/2.98 (13802) {G33,W8,D2,L2,V2,M2} R(13758,10) { midp( X, Y, Y ), ! midp( X,
% 2.55/2.98 skol25, skol20 ) }.
% 2.55/2.98 (13824) {G33,W6,D3,L1,V0,M1} R(13693,10536) { midp( skol7( skol20, skol20 )
% 2.55/2.98 , skol20, skol25 ) }.
% 2.55/2.98 (13872) {G34,W6,D3,L1,V0,M1} R(13824,10) { midp( skol7( skol20, skol20 ),
% 2.55/2.98 skol25, skol20 ) }.
% 2.55/2.98 (13917) {G20,W9,D2,L1,V2,M1} R(13753,438) { eqangle( skol20, skol20, skol25
% 2.55/2.98 , skol20, X, Y, X, Y ) }.
% 2.55/2.98 (13923) {G21,W9,D2,L1,V2,M1} R(13917,426) { eqangle( X, Y, Y, X, skol20,
% 2.55/2.98 skol20, skol25, skol20 ) }.
% 2.55/2.98 (13930) {G22,W5,D2,L1,V2,M1} R(13923,73);r(13467) { perp( X, Y, Y, X ) }.
% 2.55/2.98 (13962) {G23,W9,D2,L2,V3,M2} R(13930,52) { ! midp( X, Y, Y ), cong( Y, X, Z
% 2.55/2.98 , X ) }.
% 2.55/2.98 (17231) {G32,W9,D2,L2,V4,M2} R(13962,9759) { cong( X, Y, Z, Y ), ! midp( Y
% 2.55/2.98 , T, T ) }.
% 2.55/2.98 (17278) {G33,W9,D2,L2,V4,M2} R(17231,137) { ! midp( X, Y, Y ), perp( Z, T,
% 2.55/2.98 X, X ) }.
% 2.55/2.98 (17351) {G34,W9,D2,L2,V3,M2} R(17278,13802) { perp( X, Y, Z, Z ), ! midp( Z
% 2.55/2.98 , skol25, skol20 ) }.
% 2.55/2.98 (17371) {G34,W9,D2,L2,V4,M2} R(17278,280) { ! midp( X, Y, Y ), perp( X, X,
% 2.55/2.98 Z, T ) }.
% 2.55/2.98 (17374) {G35,W9,D2,L2,V3,M2} R(17371,13802) { perp( X, X, Y, Z ), ! midp( X
% 2.55/2.98 , skol25, skol20 ) }.
% 2.55/2.98 (17393) {G36,W4,D2,L1,V1,M1} R(17374,302);r(17351) { ! midp( X, skol25,
% 2.55/2.98 skol20 ) }.
% 2.55/2.98 (17395) {G37,W0,D0,L0,V0,M0} R(17393,13872) { }.
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 % SZS output end Refutation
% 2.55/2.98 found a proof!
% 2.55/2.98
% 2.55/2.98
% 2.55/2.98 Unprocessed initial clauses:
% 2.55/2.98
% 2.55/2.98 (17397) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.55/2.98 (17398) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.55/2.98 (17399) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 2.55/2.98 ( Y, Z, X ) }.
% 2.55/2.98 (17400) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 2.55/2.98 }.
% 2.55/2.98 (17401) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 2.55/2.98 }.
% 2.55/2.98 (17402) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 2.55/2.98 , para( X, Y, Z, T ) }.
% 2.55/2.98 (17403) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 2.55/2.98 }.
% 2.55/2.98 (17404) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 2.55/2.98 }.
% 2.55/2.98 (17405) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.55/2.98 , para( X, Y, Z, T ) }.
% 2.55/2.98 (17406) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.55/2.98 , perp( X, Y, Z, T ) }.
% 2.55/2.98 (17407) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.55/2.98 (17408) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 2.55/2.98 , circle( T, X, Y, Z ) }.
% 2.55/2.98 (17409) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 2.55/2.98 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.55/2.98 (17410) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 2.55/2.98 ) }.
% 2.55/2.98 (17411) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 2.55/2.98 ) }.
% 2.55/2.98 (17412) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 2.55/2.98 ) }.
% 2.55/2.98 (17413) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 2.55/2.98 T ), cyclic( X, Y, Z, T ) }.
% 2.55/2.98 (17414) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.98 (17415) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.55/2.98 (17416) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.98 (17417) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.55/2.98 (17418) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.55/2.98 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.98 V1 ) }.
% 2.55/2.98 (17419) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 2.55/2.98 }.
% 2.55/2.98 (17420) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 2.55/2.98 }.
% 2.55/2.98 (17421) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 2.55/2.98 , cong( X, Y, Z, T ) }.
% 2.55/2.98 (17422) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.98 (17423) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 2.55/2.98 (17424) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.98 (17425) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.55/2.98 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.55/2.98 (17426) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.55/2.98 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 2.55/2.98 V1 ) }.
% 2.55/2.98 (17427) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 2.55/2.98 , Z, T, U, W ) }.
% 2.55/2.98 (17428) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 2.55/2.98 , Z, T, U, W ) }.
% 2.55/2.98 (17429) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 2.55/2.98 , Z, T, U, W ) }.
% 2.55/2.98 (17430) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 2.55/2.98 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 2.55/2.98 (17431) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 2.55/2.98 , Z, T, U, W ) }.
% 2.55/2.98 (17432) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 2.55/2.98 , Z, T, U, W ) }.
% 2.55/2.98 (17433) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 2.55/2.98 , Z, T, U, W ) }.
% 2.55/2.98 (17434) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 2.55/2.98 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 2.55/2.98 (17435) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 2.55/2.98 X, Y, Z, T ) }.
% 2.55/2.98 (17436) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 2.55/2.98 Z, T, U, W ) }.
% 2.55/2.98 (17437) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 2.55/2.98 , T, X, T, Y ) }.
% 2.55/2.98 (17438) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 2.55/2.98 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 2.55/2.98 (17439) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 2.55/2.98 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.55/2.98 (17440) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 2.55/2.98 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.55/2.98 , Y, Z, T ) }.
% 2.55/2.98 (17441) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 2.55/2.98 ( Z, T, X, Y ) }.
% 2.55/2.98 (17442) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 2.55/2.98 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 2.55/2.98 (17443) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 2.55/2.98 X, Y, Z, Y ) }.
% 2.55/2.98 (17444) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 2.55/2.98 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 2.55/2.98 (17445) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 2.55/2.98 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 2.55/2.98 (17446) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 2.55/2.98 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 2.55/2.98 (17447) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 2.55/2.98 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 2.55/2.98 (17448) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 2.55/2.98 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 2.55/2.98 (17449) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 2.55/2.98 cong( X, Z, Y, Z ) }.
% 2.55/2.98 (17450) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 2.55/2.98 perp( X, Y, Y, Z ) }.
% 2.55/2.98 (17451) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.55/2.98 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 2.55/2.98 (17452) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 2.55/2.98 cong( Z, X, Z, Y ) }.
% 2.55/2.98 (17453) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 2.55/2.98 , perp( X, Y, Z, T ) }.
% 2.55/2.98 (17454) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 2.55/2.98 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.55/2.98 (17455) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 2.55/2.98 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 2.55/2.98 , W ) }.
% 2.55/2.98 (17456) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 2.55/2.98 , X, Z, T, U, T, W ) }.
% 2.55/2.98 (17457) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 2.55/2.98 , Y, Z, T, U, U, W ) }.
% 2.55/2.98 (17458) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 2.55/2.98 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 2.55/2.98 (17459) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 2.55/2.98 , T ) }.
% 2.55/2.98 (17460) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 2.55/2.98 ( X, Z, Y, T ) }.
% 2.55/2.98 (17461) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.55/2.98 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.55/2.98 (17462) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 2.55/2.98 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 2.55/2.98 (17463) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 2.55/2.98 (17464) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 2.55/2.98 midp( X, Y, Z ) }.
% 2.55/2.98 (17465) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.55/2.98 (17466) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.55/2.98 (17467) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 2.55/2.98 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 2.55/2.98 (17468) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 2.55/2.98 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.55/2.98 (17469) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 2.55/2.98 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 2.55/2.98 (17470) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.55/2.98 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.55/2.98 (17471) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.55/2.98 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.55/2.98 (17472) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 2.55/2.98 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 2.55/2.98 (17473) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.55/2.98 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 2.55/2.98 (17474) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.55/2.98 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 2.55/2.98 (17475) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.55/2.98 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 2.55/2.98 (17476) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.55/2.98 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 2.55/2.98 (17477) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.55/2.98 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 2.55/2.98 (17478) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.55/2.98 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 2.55/2.98 (17479) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.55/2.98 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 2.55/2.98 (17480) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.55/2.98 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 2.55/2.98 (17481) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.55/2.98 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 2.55/2.98 (17482) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.55/2.98 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 2.55/2.98 , T ) ) }.
% 2.55/2.98 (17483) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 2.55/2.98 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 2.55/2.98 (17484) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.55/2.98 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 2.55/2.98 (17485) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.55/2.98 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 2.55/2.98 (17486) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 2.55/2.98 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.55/2.98 (17487) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.55/2.98 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 2.55/2.98 ) }.
% 2.55/2.98 (17488) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.55/2.98 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 2.55/2.98 }.
% 2.55/2.98 (17489) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.55/2.98 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 2.55/2.98 (17490) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.55/2.98 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 2.55/2.98 (17491) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.55/2.98 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 2.55/2.98 (17492) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.55/2.98 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 2.55/2.99 (17493) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.55/2.99 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.55/2.99 (17494) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.55/2.99 , alpha1( X, Y, Z ) }.
% 2.55/2.99 (17495) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 2.55/2.99 ), Z, X ) }.
% 2.55/2.99 (17496) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 2.55/2.99 , Z ), Z, X ) }.
% 2.55/2.99 (17497) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 2.55/2.99 alpha1( X, Y, Z ) }.
% 2.55/2.99 (17498) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 2.55/2.99 ), X, X, Y ) }.
% 2.55/2.99 (17499) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.55/2.99 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 2.55/2.99 ) ) }.
% 2.55/2.99 (17500) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.55/2.99 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.55/2.99 (17501) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.55/2.99 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 2.55/2.99 }.
% 2.55/2.99 (17502) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.55/2.99 (17503) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 2.55/2.99 }.
% 2.55/2.99 (17504) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 2.55/2.99 alpha2( X, Y, Z, T ) }.
% 2.55/2.99 (17505) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.55/2.99 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 (17506) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 2.55/2.99 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 (17507) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.55/2.99 coll( skol16( W, Y, Z ), Y, Z ) }.
% 2.55/2.99 (17508) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.55/2.99 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 (17509) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 2.55/2.99 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 2.55/2.99 (17510) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.55/2.99 , coll( X, Y, skol18( X, Y ) ) }.
% 2.55/2.99 (17511) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.55/2.99 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 2.55/2.99 (17512) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.55/2.99 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 2.55/2.99 }.
% 2.55/2.99 (17513) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.55/2.99 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 2.55/2.99 }.
% 2.55/2.99 (17514) {G0,W4,D2,L1,V0,M1} { midp( skol25, skol22, skol20 ) }.
% 2.55/2.99 (17515) {G0,W9,D2,L1,V0,M1} { eqangle( skol27, skol26, skol26, skol20,
% 2.55/2.99 skol22, skol26, skol26, skol25 ) }.
% 2.55/2.99 (17516) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol22 ) }.
% 2.55/2.99 (17517) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol26, skol20, skol22 ) }.
% 2.55/2.99 (17518) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol26, skol23, skol29 ) }.
% 2.55/2.99 (17519) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 ) }.
% 2.55/2.99 (17520) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol26, skol24, skol30 ) }.
% 2.55/2.99 (17521) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol27 ) }.
% 2.55/2.99 (17522) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23, skol24 ) }.
% 2.55/2.99
% 2.55/2.99
% 2.55/2.99 Total Proof:
% 2.55/2.99
% 2.55/2.99 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 parent0: (17397) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 parent0: (17398) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 2.55/2.99 Z ), coll( Y, Z, X ) }.
% 2.55/2.99 parent0: (17399) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.55/2.99 ), coll( Y, Z, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 2.55/2.99 , T, Z ) }.
% 2.55/2.99 parent0: (17400) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 2.55/2.99 , X, Y ) }.
% 2.55/2.99 parent0: (17401) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 2.55/2.99 , T, Z ) }.
% 2.55/2.99 parent0: (17403) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 2.55/2.99 , X, Y ) }.
% 2.55/2.99 parent0: (17404) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 2.55/2.99 W, Z, T ), para( X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17405) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 2.55/2.99 , Z, T ), para( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 2.55/2.99 W, Z, T ), perp( X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17406) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 2.55/2.99 , Z, T ), perp( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 2.55/2.99 ) }.
% 2.55/2.99 parent0: (17407) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 2.55/2.99 , X, T, Z ), circle( T, X, Y, Z ) }.
% 2.55/2.99 parent0: (17408) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 2.55/2.99 , T, Z ), circle( T, X, Y, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 2.55/2.99 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17409) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 2.55/2.99 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 3 ==> 3
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 2.55/2.99 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17413) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 2.55/2.99 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.55/2.99 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.99 parent0: (17414) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.55/2.99 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.55/2.99 parent0: (17415) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.55/2.99 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17416) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.55/2.99 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.55/2.99 parent0: (17417) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 2.55/2.99 , T, Z ) }.
% 2.55/2.99 parent0: (17419) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 2.55/2.99 , X, Y ) }.
% 2.55/2.99 parent0: (17420) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 2.55/2.99 , W, Z, T ), cong( X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17421) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 2.55/2.99 , Z, T ), cong( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.55/2.99 , Y, U, W, Z, T, U, W ) }.
% 2.55/2.99 parent0: (17436) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 2.55/2.99 Y, U, W, Z, T, U, W ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 2.55/2.99 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 2.55/2.99 ), cong( X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17440) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 2.55/2.99 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 2.55/2.99 , cong( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 3 ==> 3
% 2.55/2.99 4 ==> 4
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 2.55/2.99 , X, X, Y, X, Y, Z, Y ) }.
% 2.55/2.99 parent0: (17443) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z,
% 2.55/2.99 X, X, Y, X, Y, Z, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 2.55/2.99 , X, T ), cong( X, Z, Y, Z ) }.
% 2.55/2.99 parent0: (17449) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 2.55/2.99 , T ), cong( X, Z, Y, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 2.55/2.99 , T, Y, T ), perp( X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17453) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 2.55/2.99 , Y, T ), perp( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 2.55/2.99 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.55/2.99 parent0: (17454) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 2.55/2.99 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 3 ==> 3
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 2.55/2.99 , T ), para( X, Z, Y, T ) }.
% 2.55/2.99 parent0: (17460) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 2.55/2.99 ), para( X, Z, Y, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 2.55/2.99 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.55/2.99 parent0: (17461) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 2.55/2.99 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 3 ==> 3
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 2.55/2.99 , Z ) }.
% 2.55/2.99 parent0: (17465) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 2.55/2.99 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 2.55/2.99 ) }.
% 2.55/2.99 parent0: (17466) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X,
% 2.55/2.99 Y ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17468) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 2.55/2.99 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.55/2.99 , V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.55/2.99 parent0: (17471) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 2.55/2.99 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.55/2.99 ) }.
% 2.55/2.99 parent0: (17486) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 2.55/2.99 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 3 ==> 3
% 2.55/2.99 4 ==> 4
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 2.55/2.99 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.55/2.99 parent0: (17493) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 2.55/2.99 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.55/2.99 skol12( X, Y ), X, X, Y ) }.
% 2.55/2.99 parent0: (17498) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 2.55/2.99 skol12( X, Y ), X, X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 2.55/2.99 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 parent0: (17508) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 2.55/2.99 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 2.55/2.99 }.
% 2.55/2.99 parent0: (17514) {G0,W4,D2,L1,V0,M1} { midp( skol25, skol22, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol27, skol20, skol22 )
% 2.55/2.99 }.
% 2.55/2.99 parent0: (17516) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (124) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol23,
% 2.55/2.99 skol24 ) }.
% 2.55/2.99 parent0: (17522) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23,
% 2.55/2.99 skol24 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18191) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 2.55/2.99 , Z, Z ) }.
% 2.55/2.99 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 2.55/2.99 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := Z
% 2.55/2.99 T := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (127) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 2.55/2.99 circle( X, Y, Z, Z ) }.
% 2.55/2.99 parent0: (18191) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 2.55/2.99 , Z, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18194) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 2.55/2.99 , X, T ), cyclic( Y, Z, T, T ) }.
% 2.55/2.99 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 2.55/2.99 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := T
% 2.55/2.99 T := T
% 2.55/2.99 U := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (130) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 2.55/2.99 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 2.55/2.99 parent0: (18194) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 2.55/2.99 , X, T ), cyclic( Y, Z, T, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18196) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 2.55/2.99 , Z, Z ) }.
% 2.55/2.99 parent0[0, 1]: (130) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 2.55/2.99 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (131) {G2,W10,D2,L2,V3,M2} F(130) { ! cong( X, Y, X, Z ),
% 2.55/2.99 cyclic( Y, Z, Z, Z ) }.
% 2.55/2.99 parent0: (18196) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 2.55/2.99 , Z, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18197) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 2.55/2.99 Z, T, T ) }.
% 2.55/2.99 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 2.55/2.99 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := T
% 2.55/2.99 T := T
% 2.55/2.99 U := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (132) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 2.55/2.99 cyclic( Y, Z, T, T ) }.
% 2.55/2.99 parent0: (18197) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.55/2.99 , Z, T, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18200) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic( X
% 2.55/2.99 , Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 2.55/2.99 parent0[1, 2]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), !
% 2.55/2.99 cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z
% 2.55/2.99 , W, T ), cong( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := T
% 2.55/2.99 T := U
% 2.55/2.99 U := Z
% 2.55/2.99 W := U
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (135) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 2.55/2.99 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 2.55/2.99 , U ) }.
% 2.55/2.99 parent0: (18200) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic(
% 2.55/2.99 X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 3 ==> 3
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18202) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z, Y
% 2.55/2.99 , Y ) }.
% 2.55/2.99 parent0[0, 1]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong(
% 2.55/2.99 X, T, Y, T ), perp( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := Y
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (137) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp
% 2.55/2.99 ( X, Z, Y, Y ) }.
% 2.55/2.99 parent0: (18202) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z,
% 2.55/2.99 Y, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18203) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 2.55/2.99 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.55/2.99 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 2.55/2.99 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Y
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (138) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 2.55/2.99 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.55/2.99 parent0: (18203) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 2.55/2.99 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18204) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 2.55/2.99 Z, T ), para( X, Z, Y, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := Y
% 2.55/2.99 T := Z
% 2.55/2.99 U := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (140) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 2.55/2.99 Y, Z, Z ) }.
% 2.55/2.99 parent0: (18204) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 2.55/2.99 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18205) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 2.55/2.99 , T ), midp( X, T, T ) }.
% 2.55/2.99 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 2.55/2.99 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := T
% 2.55/2.99 Y := T
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 U := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (141) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 2.55/2.99 Y, T, Z, T ), midp( X, T, T ) }.
% 2.55/2.99 parent0: (18205) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 2.55/2.99 , T ), midp( X, T, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18206) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.55/2.99 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.55/2.99 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 2.55/2.99 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.55/2.99 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 U := Z
% 2.55/2.99 W := X
% 2.55/2.99 V0 := T
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 2.55/2.99 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.55/2.99 parent0: (18206) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.55/2.99 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 3 ==> 3
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18209) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 2.55/2.99 skol10( X, X, Z ), Z, X ) }.
% 2.55/2.99 parent0[0, 1]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 2.55/2.99 Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Z
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (153) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp
% 2.55/2.99 ( X, skol10( X, X, Z ), Z, X ) }.
% 2.55/2.99 parent0: (18209) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 2.55/2.99 skol10( X, X, Z ), Z, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18210) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 2.55/2.99 , Z, X ) }.
% 2.55/2.99 parent0: (18210) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18212) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 2.55/2.99 , Z, X ) }.
% 2.55/2.99 parent0: (18212) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18213) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol22 )
% 2.55/2.99 }.
% 2.55/2.99 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol27, skol20, skol22 )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol27
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (170) {G1,W4,D2,L1,V0,M1} R(1,118) { coll( skol20, skol27,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 parent0: (18213) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18217) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 2.55/2.99 X ), ! coll( Z, T, Y ) }.
% 2.55/2.99 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.55/2.99 ), coll( Y, Z, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Y
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (196) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 2.55/2.99 ( X, Y, T ), coll( Z, X, T ) }.
% 2.55/2.99 parent0: (18217) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 2.55/2.99 , ! coll( Z, T, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := T
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 2
% 2.55/2.99 1 ==> 0
% 2.55/2.99 2 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18219) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 parent0[0, 1]: (196) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 2.55/2.99 coll( X, Y, T ), coll( Z, X, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (203) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z
% 2.55/2.99 , X, Z ) }.
% 2.55/2.99 parent0: (18219) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18221) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 2.55/2.99 T, X, Y ) }.
% 2.55/2.99 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := T
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (227) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 2.55/2.99 ( Z, T, Y, X ) }.
% 2.55/2.99 parent0: (18221) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := T
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18222) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 )
% 2.55/2.99 }.
% 2.55/2.99 parent0[0]: (203) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z,
% 2.55/2.99 X, Z ) }.
% 2.55/2.99 parent1[0]: (170) {G1,W4,D2,L1,V0,M1} R(1,118) { coll( skol20, skol27,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol27
% 2.55/2.99 Z := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (253) {G3,W4,D2,L1,V0,M1} R(203,170) { coll( skol22, skol20,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 parent0: (18222) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18223) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 2.55/2.99 X ), ! coll( Z, T, Y ) }.
% 2.55/2.99 parent0[0]: (203) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z,
% 2.55/2.99 X, Z ) }.
% 2.55/2.99 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.55/2.99 ), coll( Y, Z, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Y
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (259) {G3,W12,D2,L3,V4,M3} R(203,2) { coll( X, Y, X ), ! coll
% 2.55/2.99 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.55/2.99 parent0: (18223) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 2.55/2.99 , ! coll( Z, T, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := X
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18225) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 parent0[1, 2]: (259) {G3,W12,D2,L3,V4,M3} R(203,2) { coll( X, Y, X ), !
% 2.55/2.99 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (274) {G4,W8,D2,L2,V3,M2} F(259) { coll( X, Y, X ), ! coll( X
% 2.55/2.99 , Z, Y ) }.
% 2.55/2.99 parent0: (18225) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18226) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 2.55/2.99 Y, T, Z ) }.
% 2.55/2.99 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := T
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (279) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 2.55/2.99 ( Z, T, Y, X ) }.
% 2.55/2.99 parent0: (18226) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := T
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18228) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 2.55/2.99 T, X, Y ) }.
% 2.55/2.99 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := T
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (280) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.55/2.99 ( Z, T, Y, X ) }.
% 2.55/2.99 parent0: (18228) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := T
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18230) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 2.55/2.99 Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.55/2.99 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.55/2.99 , Z, T ), para( X, Y, Z, T ) }.
% 2.55/2.99 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := U
% 2.55/2.99 T := W
% 2.55/2.99 U := Z
% 2.55/2.99 W := T
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := U
% 2.55/2.99 Y := W
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (289) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 2.55/2.99 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.55/2.99 parent0: (18230) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 2.55/2.99 U, W ), ! perp( U, W, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18233) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 2.55/2.99 Y, U, W ), ! perp( X, Y, T, Z ) }.
% 2.55/2.99 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.55/2.99 , Z, T ), para( X, Y, Z, T ) }.
% 2.55/2.99 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := U
% 2.55/2.99 T := W
% 2.55/2.99 U := Z
% 2.55/2.99 W := T
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := T
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (290) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 2.55/2.99 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 2.55/2.99 parent0: (18233) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 2.55/2.99 U, W ), ! perp( X, Y, T, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := U
% 2.55/2.99 Y := W
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 U := Z
% 2.55/2.99 W := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18237) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol22, X, Y )
% 2.55/2.99 , ! perp( X, Y, skol23, skol24 ) }.
% 2.55/2.99 parent0[0]: (124) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol23,
% 2.55/2.99 skol24 ) }.
% 2.55/2.99 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.55/2.99 , Z, T ), para( X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol22
% 2.55/2.99 Z := skol23
% 2.55/2.99 T := skol24
% 2.55/2.99 U := X
% 2.55/2.99 W := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (302) {G1,W10,D2,L2,V2,M2} R(8,124) { ! perp( skol20, skol22,
% 2.55/2.99 X, Y ), ! perp( X, Y, skol23, skol24 ) }.
% 2.55/2.99 parent0: (18237) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol22, X, Y ), !
% 2.55/2.99 perp( X, Y, skol23, skol24 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18238) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 2.55/2.99 , Y ) }.
% 2.55/2.99 parent0[0, 2]: (289) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 2.55/2.99 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := X
% 2.55/2.99 W := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (305) {G2,W10,D2,L2,V4,M2} F(289) { ! perp( X, Y, Z, T ), para
% 2.55/2.99 ( X, Y, X, Y ) }.
% 2.55/2.99 parent0: (18238) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18239) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 )
% 2.55/2.99 }.
% 2.55/2.99 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 parent1[0]: (253) {G3,W4,D2,L1,V0,M1} R(203,170) { coll( skol22, skol20,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol22
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (313) {G4,W4,D2,L1,V0,M1} R(253,0) { coll( skol22, skol22,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 parent0: (18239) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18240) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X,
% 2.55/2.99 Y, U, W ), ! para( X, Y, T, Z ) }.
% 2.55/2.99 parent0[0]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 2.55/2.99 , Z, T ), perp( X, Y, Z, T ) }.
% 2.55/2.99 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := U
% 2.55/2.99 T := W
% 2.55/2.99 U := Z
% 2.55/2.99 W := T
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := T
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (321) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 2.55/2.99 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 2.55/2.99 parent0: (18240) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X, Y,
% 2.55/2.99 U, W ), ! para( X, Y, T, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := U
% 2.55/2.99 Y := W
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 U := Z
% 2.55/2.99 W := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18241) {G1,W4,D2,L1,V0,M1} { midp( skol25, skol20, skol22 )
% 2.55/2.99 }.
% 2.55/2.99 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.55/2.99 }.
% 2.55/2.99 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol22
% 2.55/2.99 Z := skol25
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (329) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol25, skol20,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 parent0: (18241) {G1,W4,D2,L1,V0,M1} { midp( skol25, skol20, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18242) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 2.55/2.99 , T ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.55/2.99 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.99 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := T
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 U := V0
% 2.55/2.99 W := V1
% 2.55/2.99 V0 := U
% 2.55/2.99 V1 := W
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (424) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U,
% 2.55/2.99 W, V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.55/2.99 parent0: (18242) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 2.55/2.99 ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := U
% 2.55/2.99 Y := W
% 2.55/2.99 Z := V0
% 2.55/2.99 T := V1
% 2.55/2.99 U := X
% 2.55/2.99 W := Y
% 2.55/2.99 V0 := Z
% 2.55/2.99 V1 := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18243) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 2.55/2.99 , T ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.99 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.99 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (425) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U,
% 2.55/2.99 W, V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.55/2.99 parent0: (18243) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 2.55/2.99 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := U
% 2.55/2.99 Y := W
% 2.55/2.99 Z := V0
% 2.55/2.99 T := V1
% 2.55/2.99 U := X
% 2.55/2.99 W := Y
% 2.55/2.99 V0 := Z
% 2.55/2.99 V1 := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18245) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 2.55/2.99 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.99 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.99 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := U
% 2.55/2.99 Y := W
% 2.55/2.99 Z := V0
% 2.55/2.99 T := V1
% 2.55/2.99 U := X
% 2.55/2.99 W := Y
% 2.55/2.99 V0 := Z
% 2.55/2.99 V1 := T
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (426) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.55/2.99 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.55/2.99 parent0: (18245) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 2.55/2.99 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := U
% 2.55/2.99 Y := W
% 2.55/2.99 Z := V0
% 2.55/2.99 T := V1
% 2.55/2.99 U := X
% 2.55/2.99 W := Y
% 2.55/2.99 V0 := Z
% 2.55/2.99 V1 := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18246) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 2.55/2.99 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.99 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.55/2.99 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/2.99 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (438) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 2.55/2.99 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.55/2.99 parent0: (18246) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 2.55/2.99 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := U
% 2.55/2.99 T := W
% 2.55/2.99 U := Z
% 2.55/2.99 W := T
% 2.55/2.99 V0 := V0
% 2.55/2.99 V1 := V1
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18248) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 parent1[0]: (274) {G4,W8,D2,L2,V3,M2} F(259) { coll( X, Y, X ), ! coll( X,
% 2.55/2.99 Z, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (478) {G5,W8,D2,L2,V3,M2} R(274,1) { ! coll( X, Y, Z ), coll(
% 2.55/2.99 Z, X, X ) }.
% 2.55/2.99 parent0: (18248) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18249) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (478) {G5,W8,D2,L2,V3,M2} R(274,1) { ! coll( X, Y, Z ), coll( Z
% 2.55/2.99 , X, X ) }.
% 2.55/2.99 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (493) {G6,W8,D2,L2,V3,M2} R(478,1) { coll( X, Y, Y ), ! coll(
% 2.55/2.99 Z, Y, X ) }.
% 2.55/2.99 parent0: (18249) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18250) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (478) {G5,W8,D2,L2,V3,M2} R(274,1) { ! coll( X, Y, Z ), coll( Z
% 2.55/2.99 , X, X ) }.
% 2.55/2.99 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (494) {G6,W8,D2,L2,V3,M2} R(478,0) { coll( X, Y, Y ), ! coll(
% 2.55/2.99 Y, X, Z ) }.
% 2.55/2.99 parent0: (18250) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18251) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[1]: (494) {G6,W8,D2,L2,V3,M2} R(478,0) { coll( X, Y, Y ), ! coll( Y
% 2.55/2.99 , X, Z ) }.
% 2.55/2.99 parent1[0]: (494) {G6,W8,D2,L2,V3,M2} R(478,0) { coll( X, Y, Y ), ! coll( Y
% 2.55/2.99 , X, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (498) {G7,W8,D2,L2,V3,M2} R(494,494) { ! coll( X, Y, Z ), coll
% 2.55/2.99 ( X, Y, Y ) }.
% 2.55/2.99 parent0: (18251) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18253) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X,
% 2.55/2.99 Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.55/2.99 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 2.55/2.99 W, Z, T ), cong( X, Y, Z, T ) }.
% 2.55/2.99 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 2.55/2.99 , X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := U
% 2.55/2.99 T := W
% 2.55/2.99 U := Z
% 2.55/2.99 W := T
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := U
% 2.55/2.99 Y := W
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (503) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 2.55/2.99 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.55/2.99 parent0: (18253) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.55/2.99 U, W ), ! cong( U, W, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := U
% 2.55/2.99 W := W
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18256) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, X
% 2.55/2.99 , Y ) }.
% 2.55/2.99 parent0[0, 2]: (503) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 2.55/2.99 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 U := X
% 2.55/2.99 W := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (514) {G2,W10,D2,L2,V4,M2} F(503) { ! cong( X, Y, Z, T ), cong
% 2.55/2.99 ( X, Y, X, Y ) }.
% 2.55/2.99 parent0: (18256) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := T
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18260) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 2.55/2.99 X ), ! coll( X, Y, T ) }.
% 2.55/2.99 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.55/2.99 ), coll( Y, Z, X ) }.
% 2.55/2.99 parent1[1]: (498) {G7,W8,D2,L2,V3,M2} R(494,494) { ! coll( X, Y, Z ), coll
% 2.55/2.99 ( X, Y, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := Y
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := T
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (516) {G8,W12,D2,L3,V4,M3} R(498,2) { ! coll( X, Y, Z ), !
% 2.55/2.99 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.55/2.99 parent0: (18260) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.55/2.99 , ! coll( X, Y, T ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := T
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 2
% 2.55/2.99 2 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18263) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.55/2.99 }.
% 2.55/2.99 parent0[0, 1]: (516) {G8,W12,D2,L3,V4,M3} R(498,2) { ! coll( X, Y, Z ), !
% 2.55/2.99 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (517) {G9,W8,D2,L2,V3,M2} F(516) { ! coll( X, Y, Z ), coll( Z
% 2.55/2.99 , Y, X ) }.
% 2.55/2.99 parent0: (18263) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18264) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (517) {G9,W8,D2,L2,V3,M2} F(516) { ! coll( X, Y, Z ), coll( Z,
% 2.55/2.99 Y, X ) }.
% 2.55/2.99 parent1[0]: (493) {G6,W8,D2,L2,V3,M2} R(478,1) { coll( X, Y, Y ), ! coll( Z
% 2.55/2.99 , Y, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Y
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (521) {G10,W8,D2,L2,V3,M2} R(517,493) { coll( X, X, Y ), !
% 2.55/2.99 coll( Z, X, Y ) }.
% 2.55/2.99 parent0: (18264) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18265) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[1]: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 2.55/2.99 Z, X ) }.
% 2.55/2.99 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (547) {G2,W8,D2,L2,V3,M2} R(69,168) { ! midp( X, Y, Z ), coll
% 2.55/2.99 ( Z, X, Y ) }.
% 2.55/2.99 parent0: (18265) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18266) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[1]: (521) {G10,W8,D2,L2,V3,M2} R(517,493) { coll( X, X, Y ), ! coll
% 2.55/2.99 ( Z, X, Y ) }.
% 2.55/2.99 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (554) {G11,W8,D2,L2,V3,M2} R(69,521) { ! midp( X, Y, Z ), coll
% 2.55/2.99 ( Y, Y, Z ) }.
% 2.55/2.99 parent0: (18266) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18267) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.55/2.99 }.
% 2.55/2.99 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (573) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 2.55/2.99 , X, Z ) }.
% 2.55/2.99 parent0: (18267) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18268) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol20 )
% 2.55/2.99 }.
% 2.55/2.99 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.55/2.99 }.
% 2.55/2.99 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := skol22
% 2.55/2.99 Z := skol20
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (574) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol25, skol22,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 parent0: (18268) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18269) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol22, X ),
% 2.55/2.99 coll( skol20, X, skol25 ) }.
% 2.55/2.99 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.55/2.99 ), coll( Y, Z, X ) }.
% 2.55/2.99 parent1[0]: (574) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol25, skol22,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := X
% 2.55/2.99 T := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (628) {G2,W8,D2,L2,V1,M2} R(574,2) { ! coll( skol25, skol22, X
% 2.55/2.99 ), coll( skol20, X, skol25 ) }.
% 2.55/2.99 parent0: (18269) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol22, X ), coll(
% 2.55/2.99 skol20, X, skol25 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18271) {G2,W8,D2,L2,V1,M2} { coll( skol20, X, skol25 ), !
% 2.55/2.99 coll( X, skol25, skol22 ) }.
% 2.55/2.99 parent0[0]: (628) {G2,W8,D2,L2,V1,M2} R(574,2) { ! coll( skol25, skol22, X
% 2.55/2.99 ), coll( skol20, X, skol25 ) }.
% 2.55/2.99 parent1[1]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.55/2.99 Z, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := skol25
% 2.55/2.99 Z := skol22
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (723) {G3,W8,D2,L2,V1,M2} R(628,169) { coll( skol20, X, skol25
% 2.55/2.99 ), ! coll( X, skol25, skol22 ) }.
% 2.55/2.99 parent0: (18271) {G2,W8,D2,L2,V1,M2} { coll( skol20, X, skol25 ), ! coll(
% 2.55/2.99 X, skol25, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18273) {G2,W8,D2,L2,V1,M2} { coll( X, skol25, skol20 ), !
% 2.55/2.99 coll( X, skol25, skol22 ) }.
% 2.55/2.99 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.55/2.99 Z, X ) }.
% 2.55/2.99 parent1[0]: (723) {G3,W8,D2,L2,V1,M2} R(628,169) { coll( skol20, X, skol25
% 2.55/2.99 ), ! coll( X, skol25, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := X
% 2.55/2.99 Z := skol25
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (1774) {G4,W8,D2,L2,V1,M2} R(723,169) { ! coll( X, skol25,
% 2.55/2.99 skol22 ), coll( X, skol25, skol20 ) }.
% 2.55/2.99 parent0: (18273) {G2,W8,D2,L2,V1,M2} { coll( X, skol25, skol20 ), ! coll(
% 2.55/2.99 X, skol25, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18276) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol25, Y ), coll(
% 2.55/2.99 skol20, Y, X ), ! coll( X, skol25, skol22 ) }.
% 2.55/2.99 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.55/2.99 ), coll( Y, Z, X ) }.
% 2.55/2.99 parent1[1]: (1774) {G4,W8,D2,L2,V1,M2} R(723,169) { ! coll( X, skol25,
% 2.55/2.99 skol22 ), coll( X, skol25, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := Y
% 2.55/2.99 T := skol25
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (1792) {G5,W12,D2,L3,V2,M3} R(1774,2) { ! coll( X, skol25,
% 2.55/2.99 skol22 ), ! coll( X, skol25, Y ), coll( skol20, Y, X ) }.
% 2.55/2.99 parent0: (18276) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol25, Y ), coll(
% 2.55/2.99 skol20, Y, X ), ! coll( X, skol25, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 2
% 2.55/2.99 2 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18280) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol25, skol22 ), coll(
% 2.55/2.99 skol20, skol22, X ) }.
% 2.55/2.99 parent0[0, 1]: (1792) {G5,W12,D2,L3,V2,M3} R(1774,2) { ! coll( X, skol25,
% 2.55/2.99 skol22 ), ! coll( X, skol25, Y ), coll( skol20, Y, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := skol22
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (1797) {G6,W8,D2,L2,V1,M2} F(1792) { ! coll( X, skol25, skol22
% 2.55/2.99 ), coll( skol20, skol22, X ) }.
% 2.55/2.99 parent0: (18280) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol25, skol22 ), coll(
% 2.55/2.99 skol20, skol22, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18281) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol25,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 2.55/2.99 Z ) }.
% 2.55/2.99 parent1[0]: (329) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol25, skol20,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (2399) {G2,W5,D2,L1,V0,M1} R(68,329) { cong( skol25, skol20,
% 2.55/2.99 skol25, skol22 ) }.
% 2.55/2.99 parent0: (18281) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol25,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18282) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol22, skol25,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 2.55/2.99 Z ) }.
% 2.55/2.99 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := skol22
% 2.55/2.99 Z := skol20
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (2400) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol25, skol22,
% 2.55/2.99 skol25, skol20 ) }.
% 2.55/2.99 parent0: (18282) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol22, skol25,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18283) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol22,
% 2.55/2.99 skol25 ) }.
% 2.55/2.99 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 2.55/2.99 , T, Z ) }.
% 2.55/2.99 parent1[0]: (2399) {G2,W5,D2,L1,V0,M1} R(68,329) { cong( skol25, skol20,
% 2.55/2.99 skol25, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := skol25
% 2.55/2.99 T := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (2409) {G3,W5,D2,L1,V0,M1} R(2399,22) { cong( skol25, skol20,
% 2.55/2.99 skol22, skol25 ) }.
% 2.55/2.99 parent0: (18283) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol22,
% 2.55/2.99 skol25 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18284) {G2,W8,D2,L2,V1,M2} { coll( skol20, skol22, X ), !
% 2.55/2.99 midp( skol25, X, skol22 ) }.
% 2.55/2.99 parent0[0]: (1797) {G6,W8,D2,L2,V1,M2} F(1792) { ! coll( X, skol25, skol22
% 2.55/2.99 ), coll( skol20, skol22, X ) }.
% 2.55/2.99 parent1[1]: (573) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 2.55/2.99 , X, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := X
% 2.55/2.99 Z := skol22
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (2862) {G7,W8,D2,L2,V1,M2} R(1797,573) { coll( skol20, skol22
% 2.55/2.99 , X ), ! midp( skol25, X, skol22 ) }.
% 2.55/2.99 parent0: (18284) {G2,W8,D2,L2,V1,M2} { coll( skol20, skol22, X ), ! midp(
% 2.55/2.99 skol25, X, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18285) {G3,W8,D2,L2,V1,M2} { coll( skol20, skol22, X ), !
% 2.55/2.99 midp( skol25, skol22, X ) }.
% 2.55/2.99 parent0[0]: (1797) {G6,W8,D2,L2,V1,M2} F(1792) { ! coll( X, skol25, skol22
% 2.55/2.99 ), coll( skol20, skol22, X ) }.
% 2.55/2.99 parent1[1]: (547) {G2,W8,D2,L2,V3,M2} R(69,168) { ! midp( X, Y, Z ), coll(
% 2.55/2.99 Z, X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := skol22
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (2865) {G7,W8,D2,L2,V1,M2} R(1797,547) { coll( skol20, skol22
% 2.55/2.99 , X ), ! midp( skol25, skol22, X ) }.
% 2.55/2.99 parent0: (18285) {G3,W8,D2,L2,V1,M2} { coll( skol20, skol22, X ), ! midp(
% 2.55/2.99 skol25, skol22, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18286) {G1,W8,D2,L2,V1,M2} { coll( skol20, X, skol22 ), !
% 2.55/2.99 midp( skol25, X, skol22 ) }.
% 2.55/2.99 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.55/2.99 }.
% 2.55/2.99 parent1[0]: (2862) {G7,W8,D2,L2,V1,M2} R(1797,573) { coll( skol20, skol22,
% 2.55/2.99 X ), ! midp( skol25, X, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol22
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (2888) {G8,W8,D2,L2,V1,M2} R(2862,0) { ! midp( skol25, X,
% 2.55/2.99 skol22 ), coll( skol20, X, skol22 ) }.
% 2.55/2.99 parent0: (18286) {G1,W8,D2,L2,V1,M2} { coll( skol20, X, skol22 ), ! midp(
% 2.55/2.99 skol25, X, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 1
% 2.55/2.99 1 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18287) {G2,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol22,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 parent0[0]: (127) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 2.55/2.99 ( X, Y, Z, Z ) }.
% 2.55/2.99 parent1[0]: (2399) {G2,W5,D2,L1,V0,M1} R(68,329) { cong( skol25, skol20,
% 2.55/2.99 skol25, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (6961) {G3,W5,D2,L1,V0,M1} R(127,2399) { circle( skol25,
% 2.55/2.99 skol20, skol22, skol22 ) }.
% 2.55/2.99 parent0: (18287) {G2,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol22,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18288) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol25 ),
% 2.55/2.99 skol20, skol20, skol25 ) }.
% 2.55/2.99 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.55/2.99 skol12( X, Y ), X, X, Y ) }.
% 2.55/2.99 parent1[0]: (6961) {G3,W5,D2,L1,V0,M1} R(127,2399) { circle( skol25, skol20
% 2.55/2.99 , skol22, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol25
% 2.55/2.99 Z := skol22
% 2.55/2.99 T := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (7057) {G4,W7,D3,L1,V0,M1} R(6961,100) { perp( skol12( skol20
% 2.55/2.99 , skol25 ), skol20, skol20, skol25 ) }.
% 2.55/2.99 parent0: (18288) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol25 ),
% 2.55/2.99 skol20, skol20, skol25 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18289) {G2,W5,D2,L1,V0,M1} { cyclic( skol22, skol20, skol20,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 parent0[0]: (131) {G2,W10,D2,L2,V3,M2} F(130) { ! cong( X, Y, X, Z ),
% 2.55/2.99 cyclic( Y, Z, Z, Z ) }.
% 2.55/2.99 parent1[0]: (2400) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol25, skol22,
% 2.55/2.99 skol25, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := skol22
% 2.55/2.99 Z := skol20
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (7117) {G3,W5,D2,L1,V0,M1} R(131,2400) { cyclic( skol22,
% 2.55/2.99 skol20, skol20, skol20 ) }.
% 2.55/2.99 parent0: (18289) {G2,W5,D2,L1,V0,M1} { cyclic( skol22, skol20, skol20,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18290) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol20,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 parent0[0]: (132) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 2.55/2.99 cyclic( Y, Z, T, T ) }.
% 2.55/2.99 parent1[0]: (7117) {G3,W5,D2,L1,V0,M1} R(131,2400) { cyclic( skol22, skol20
% 2.55/2.99 , skol20, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol22
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := skol20
% 2.55/2.99 T := skol20
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (7150) {G4,W5,D2,L1,V0,M1} R(132,7117) { cyclic( skol20,
% 2.55/2.99 skol20, skol20, skol20 ) }.
% 2.55/2.99 parent0: (18290) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol20,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18291) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol22, skol20 ), !
% 2.55/2.99 coll( skol22, skol22, skol20 ), midp( skol7( skol22, Y ), skol22, Y ), !
% 2.55/2.99 midp( skol25, skol22, skol20 ) }.
% 2.55/2.99 parent0[2]: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.55/2.99 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.55/2.99 parent1[0]: (2865) {G7,W8,D2,L2,V1,M2} R(1797,547) { coll( skol20, skol22,
% 2.55/2.99 X ), ! midp( skol25, skol22, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := skol22
% 2.55/2.99 Z := skol20
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := skol20
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18294) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol22, skol20 ),
% 2.55/2.99 midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol25, skol22, skol20 )
% 2.55/2.99 }.
% 2.55/2.99 parent0[1]: (18291) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol22, skol20 ), !
% 2.55/2.99 coll( skol22, skol22, skol20 ), midp( skol7( skol22, Y ), skol22, Y ), !
% 2.55/2.99 midp( skol25, skol22, skol20 ) }.
% 2.55/2.99 parent1[0]: (313) {G4,W4,D2,L1,V0,M1} R(253,0) { coll( skol22, skol22,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (7807) {G8,W14,D3,L3,V2,M3} R(147,2865);r(313) { ! midp( X,
% 2.55/2.99 skol22, skol20 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol25,
% 2.55/2.99 skol22, skol20 ) }.
% 2.55/2.99 parent0: (18294) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol22, skol20 ), midp
% 2.55/2.99 ( skol7( skol22, Y ), skol22, Y ), ! midp( skol25, skol22, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18296) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol20, skol22 ), !
% 2.55/2.99 coll( skol22, skol20, skol22 ), midp( skol7( skol20, Y ), skol20, Y ), !
% 2.55/2.99 midp( skol25, skol20, skol22 ) }.
% 2.55/2.99 parent0[1]: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.55/2.99 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.55/2.99 parent1[1]: (2888) {G8,W8,D2,L2,V1,M2} R(2862,0) { ! midp( skol25, X,
% 2.55/2.99 skol22 ), coll( skol20, X, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := skol22
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := skol20
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18299) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol20, skol22 ),
% 2.55/2.99 midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol25, skol20, skol22 )
% 2.55/2.99 }.
% 2.55/2.99 parent0[1]: (18296) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol20, skol22 ), !
% 2.55/2.99 coll( skol22, skol20, skol22 ), midp( skol7( skol20, Y ), skol20, Y ), !
% 2.55/2.99 midp( skol25, skol20, skol22 ) }.
% 2.55/2.99 parent1[0]: (253) {G3,W4,D2,L1,V0,M1} R(203,170) { coll( skol22, skol20,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (7818) {G9,W14,D3,L3,V2,M3} R(147,2888);r(253) { ! midp( X,
% 2.55/2.99 skol20, skol22 ), midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol25,
% 2.55/2.99 skol20, skol22 ) }.
% 2.55/2.99 parent0: (18299) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol20, skol22 ), midp
% 2.55/2.99 ( skol7( skol20, Y ), skol20, Y ), ! midp( skol25, skol20, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 1 ==> 1
% 2.55/2.99 2 ==> 2
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18301) {G9,W10,D3,L2,V1,M2} { ! midp( skol25, skol20, skol22 ),
% 2.55/2.99 midp( skol7( skol20, X ), skol20, X ) }.
% 2.55/2.99 parent0[0, 2]: (7818) {G9,W14,D3,L3,V2,M3} R(147,2888);r(253) { ! midp( X,
% 2.55/2.99 skol20, skol22 ), midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol25,
% 2.55/2.99 skol20, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18302) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20
% 2.55/2.99 , X ) }.
% 2.55/2.99 parent0[0]: (18301) {G9,W10,D3,L2,V1,M2} { ! midp( skol25, skol20, skol22
% 2.55/2.99 ), midp( skol7( skol20, X ), skol20, X ) }.
% 2.55/2.99 parent1[0]: (329) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol25, skol20,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (7907) {G10,W6,D3,L1,V1,M1} F(7818);r(329) { midp( skol7(
% 2.55/2.99 skol20, X ), skol20, X ) }.
% 2.55/2.99 parent0: (18302) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20, X
% 2.55/2.99 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 factor: (18303) {G8,W10,D3,L2,V1,M2} { ! midp( skol25, skol22, skol20 ),
% 2.55/2.99 midp( skol7( skol22, X ), skol22, X ) }.
% 2.55/2.99 parent0[0, 2]: (7807) {G8,W14,D3,L3,V2,M3} R(147,2865);r(313) { ! midp( X,
% 2.55/2.99 skol22, skol20 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol25,
% 2.55/2.99 skol22, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18304) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22
% 2.55/2.99 , X ) }.
% 2.55/2.99 parent0[0]: (18303) {G8,W10,D3,L2,V1,M2} { ! midp( skol25, skol22, skol20
% 2.55/2.99 ), midp( skol7( skol22, X ), skol22, X ) }.
% 2.55/2.99 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (7908) {G9,W6,D3,L1,V1,M1} F(7807);r(116) { midp( skol7(
% 2.55/2.99 skol22, X ), skol22, X ) }.
% 2.55/2.99 parent0: (18304) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22, X
% 2.55/2.99 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18305) {G10,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 2.55/2.99 parent0[0]: (554) {G11,W8,D2,L2,V3,M2} R(69,521) { ! midp( X, Y, Z ), coll
% 2.55/2.99 ( Y, Y, Z ) }.
% 2.55/2.99 parent1[0]: (7908) {G9,W6,D3,L1,V1,M1} F(7807);r(116) { midp( skol7( skol22
% 2.55/2.99 , X ), skol22, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol7( skol22, X )
% 2.55/2.99 Y := skol22
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (7960) {G12,W4,D2,L1,V1,M1} R(7908,554) { coll( skol22, skol22
% 2.55/2.99 , X ) }.
% 2.55/2.99 parent0: (18305) {G10,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18306) {G1,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 2.55/2.99 coll( X, Y, skol22 ) }.
% 2.55/2.99 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.55/2.99 ), coll( Y, Z, X ) }.
% 2.55/2.99 parent1[0]: (7960) {G12,W4,D2,L1,V1,M1} R(7908,554) { coll( skol22, skol22
% 2.55/2.99 , X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol22
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Y
% 2.55/2.99 T := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18308) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol22 ) }.
% 2.55/2.99 parent0[0]: (18306) {G1,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 2.55/2.99 coll( X, Y, skol22 ) }.
% 2.55/2.99 parent1[0]: (7960) {G12,W4,D2,L1,V1,M1} R(7908,554) { coll( skol22, skol22
% 2.55/2.99 , X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8019) {G13,W4,D2,L1,V2,M1} R(7960,2);r(7960) { coll( Y, X,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 parent0: (18308) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18309) {G2,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 2.55/2.99 parent0[0]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.55/2.99 Z, X ) }.
% 2.55/2.99 parent1[0]: (8019) {G13,W4,D2,L1,V2,M1} R(7960,2);r(7960) { coll( Y, X,
% 2.55/2.99 skol22 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8044) {G14,W4,D2,L1,V2,M1} R(8019,169) { coll( X, skol22, Y )
% 2.55/2.99 }.
% 2.55/2.99 parent0: (18309) {G2,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18310) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 2.55/2.99 , Z, X ) }.
% 2.55/2.99 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.55/2.99 ), coll( Y, Z, X ) }.
% 2.55/2.99 parent1[0]: (8044) {G14,W4,D2,L1,V2,M1} R(8019,169) { coll( X, skol22, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := skol22
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18312) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 2.55/2.99 parent0[0]: (18310) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 2.55/2.99 , Z, X ) }.
% 2.55/2.99 parent1[0]: (8044) {G14,W4,D2,L1,V2,M1} R(8019,169) { coll( X, skol22, Y )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Z
% 2.55/2.99 Z := Y
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8057) {G15,W4,D2,L1,V3,M1} R(8044,2);r(8044) { coll( Z, Y, X
% 2.55/2.99 ) }.
% 2.55/2.99 parent0: (18312) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18313) {G2,W5,D2,L1,V1,M1} { para( skol20, skol20, X, X ) }.
% 2.55/2.99 parent0[0]: (140) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 2.55/2.99 , Z, Z ) }.
% 2.55/2.99 parent1[0]: (7907) {G10,W6,D3,L1,V1,M1} F(7818);r(329) { midp( skol7(
% 2.55/2.99 skol20, X ), skol20, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol7( skol20, X )
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8117) {G11,W5,D2,L1,V1,M1} R(7907,140) { para( skol20, skol20
% 2.55/2.99 , X, X ) }.
% 2.55/2.99 parent0: (18313) {G2,W5,D2,L1,V1,M1} { para( skol20, skol20, X, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18314) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), X,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.55/2.99 }.
% 2.55/2.99 parent1[0]: (7907) {G10,W6,D3,L1,V1,M1} F(7818);r(329) { midp( skol7(
% 2.55/2.99 skol20, X ), skol20, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := skol7( skol20, X )
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8133) {G11,W6,D3,L1,V1,M1} R(7907,10) { midp( skol7( skol20,
% 2.55/2.99 X ), X, skol20 ) }.
% 2.55/2.99 parent0: (18314) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), X, skol20
% 2.55/2.99 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18315) {G1,W5,D2,L1,V1,M1} { para( X, X, skol20, skol20 ) }.
% 2.55/2.99 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 parent1[0]: (8117) {G11,W5,D2,L1,V1,M1} R(7907,140) { para( skol20, skol20
% 2.55/2.99 , X, X ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := X
% 2.55/2.99 T := X
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8141) {G12,W5,D2,L1,V1,M1} R(8117,4) { para( X, X, skol20,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 parent0: (18315) {G1,W5,D2,L1,V1,M1} { para( X, X, skol20, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18316) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol20,
% 2.55/2.99 skol20, Y, Z ) }.
% 2.55/2.99 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.55/2.99 , Y, U, W, Z, T, U, W ) }.
% 2.55/2.99 parent1[0]: (8141) {G12,W5,D2,L1,V1,M1} R(8117,4) { para( X, X, skol20,
% 2.55/2.99 skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := X
% 2.55/2.99 Z := skol20
% 2.55/2.99 T := skol20
% 2.55/2.99 U := Y
% 2.55/2.99 W := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8145) {G13,W9,D2,L1,V3,M1} R(8141,39) { eqangle( X, X, Y, Z,
% 2.55/2.99 skol20, skol20, Y, Z ) }.
% 2.55/2.99 parent0: (18316) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol20, skol20
% 2.55/2.99 , Y, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18317) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol25, skol12(
% 2.55/2.99 skol20, skol25 ), skol20 ) }.
% 2.55/2.99 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 parent1[0]: (7057) {G4,W7,D3,L1,V0,M1} R(6961,100) { perp( skol12( skol20,
% 2.55/2.99 skol25 ), skol20, skol20, skol25 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol12( skol20, skol25 )
% 2.55/2.99 Y := skol20
% 2.55/2.99 Z := skol20
% 2.55/2.99 T := skol25
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8191) {G5,W7,D3,L1,V0,M1} R(7057,7) { perp( skol20, skol25,
% 2.55/2.99 skol12( skol20, skol25 ), skol20 ) }.
% 2.55/2.99 parent0: (18317) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol25, skol12(
% 2.55/2.99 skol20, skol25 ), skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18318) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol25, skol20,
% 2.55/2.99 skol12( skol20, skol25 ) ) }.
% 2.55/2.99 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 parent1[0]: (8191) {G5,W7,D3,L1,V0,M1} R(7057,7) { perp( skol20, skol25,
% 2.55/2.99 skol12( skol20, skol25 ), skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol25
% 2.55/2.99 Z := skol12( skol20, skol25 )
% 2.55/2.99 T := skol20
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8200) {G6,W7,D3,L1,V0,M1} R(8191,6) { perp( skol20, skol25,
% 2.55/2.99 skol20, skol12( skol20, skol25 ) ) }.
% 2.55/2.99 parent0: (18318) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol25, skol20,
% 2.55/2.99 skol12( skol20, skol25 ) ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18319) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 2.55/2.99 skol25 ), skol20, skol25 ) }.
% 2.55/2.99 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 parent1[0]: (8200) {G6,W7,D3,L1,V0,M1} R(8191,6) { perp( skol20, skol25,
% 2.55/2.99 skol20, skol12( skol20, skol25 ) ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol25
% 2.55/2.99 Z := skol20
% 2.55/2.99 T := skol12( skol20, skol25 )
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8208) {G7,W7,D3,L1,V0,M1} R(8200,7) { perp( skol20, skol12(
% 2.55/2.99 skol20, skol25 ), skol20, skol25 ) }.
% 2.55/2.99 parent0: (18319) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 2.55/2.99 skol25 ), skol20, skol25 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18320) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 2.55/2.99 skol25 ), skol25, skol20 ) }.
% 2.55/2.99 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 parent1[0]: (8208) {G7,W7,D3,L1,V0,M1} R(8200,7) { perp( skol20, skol12(
% 2.55/2.99 skol20, skol25 ), skol20, skol25 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol12( skol20, skol25 )
% 2.55/2.99 Z := skol20
% 2.55/2.99 T := skol25
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8217) {G8,W7,D3,L1,V0,M1} R(8208,6) { perp( skol20, skol12(
% 2.55/2.99 skol20, skol25 ), skol25, skol20 ) }.
% 2.55/2.99 parent0: (18320) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 2.55/2.99 skol25 ), skol25, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18321) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol20, skol20,
% 2.55/2.99 skol12( skol20, skol25 ) ) }.
% 2.55/2.99 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 parent1[0]: (8217) {G8,W7,D3,L1,V0,M1} R(8208,6) { perp( skol20, skol12(
% 2.55/2.99 skol20, skol25 ), skol25, skol20 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol20
% 2.55/2.99 Y := skol12( skol20, skol25 )
% 2.55/2.99 Z := skol25
% 2.55/2.99 T := skol20
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8226) {G9,W7,D3,L1,V0,M1} R(8217,7) { perp( skol25, skol20,
% 2.55/2.99 skol20, skol12( skol20, skol25 ) ) }.
% 2.55/2.99 parent0: (18321) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol20, skol20,
% 2.55/2.99 skol12( skol20, skol25 ) ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18322) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol20, skol25
% 2.55/2.99 ), X, Y ), perp( skol16( skol25, X, Y ), skol25, X, Y ) }.
% 2.55/2.99 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 2.55/2.99 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 parent1[0]: (8226) {G9,W7,D3,L1,V0,M1} R(8217,7) { perp( skol25, skol20,
% 2.55/2.99 skol20, skol12( skol20, skol25 ) ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol25
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Y
% 2.55/2.99 T := skol12( skol20, skol25 )
% 2.55/2.99 U := skol20
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18323) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol25, X, Y ),
% 2.55/2.99 skol25, X, Y ) }.
% 2.55/2.99 parent0[0]: (18322) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol20, skol25
% 2.55/2.99 ), X, Y ), perp( skol16( skol25, X, Y ), skol25, X, Y ) }.
% 2.55/2.99 parent1[0]: (8057) {G15,W4,D2,L1,V3,M1} R(8044,2);r(8044) { coll( Z, Y, X )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Y
% 2.55/2.99 Y := X
% 2.55/2.99 Z := skol12( skol20, skol25 )
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8228) {G16,W8,D3,L1,V2,M1} R(8226,110);r(8057) { perp( skol16
% 2.55/2.99 ( skol25, X, Y ), skol25, X, Y ) }.
% 2.55/2.99 parent0: (18323) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol25, X, Y ),
% 2.55/2.99 skol25, X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18324) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol25, X, Y
% 2.55/2.99 ), skol25 ) }.
% 2.55/2.99 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 parent1[0]: (8228) {G16,W8,D3,L1,V2,M1} R(8226,110);r(8057) { perp( skol16
% 2.55/2.99 ( skol25, X, Y ), skol25, X, Y ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol16( skol25, X, Y )
% 2.55/2.99 Y := skol25
% 2.55/2.99 Z := X
% 2.55/2.99 T := Y
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8336) {G17,W8,D3,L1,V2,M1} R(8228,7) { perp( X, Y, skol16(
% 2.55/2.99 skol25, X, Y ), skol25 ) }.
% 2.55/2.99 parent0: (18324) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol25, X, Y )
% 2.55/2.99 , skol25 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18325) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol25, skol16(
% 2.55/2.99 skol25, X, Y ) ) }.
% 2.55/2.99 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 parent1[0]: (8336) {G17,W8,D3,L1,V2,M1} R(8228,7) { perp( X, Y, skol16(
% 2.55/2.99 skol25, X, Y ), skol25 ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := skol16( skol25, X, Y )
% 2.55/2.99 T := skol25
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8363) {G18,W8,D3,L1,V2,M1} R(8336,6) { perp( X, Y, skol25,
% 2.55/2.99 skol16( skol25, X, Y ) ) }.
% 2.55/2.99 parent0: (18325) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol25, skol16( skol25
% 2.55/2.99 , X, Y ) ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18326) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol25, X,
% 2.55/2.99 skol25 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 2.55/2.99 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 parent1[0]: (8363) {G18,W8,D3,L1,V2,M1} R(8336,6) { perp( X, Y, skol25,
% 2.55/2.99 skol16( skol25, X, Y ) ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 T := skol16( skol25, X, skol25 )
% 2.55/2.99 U := skol25
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := skol25
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18327) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (18326) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol25, X,
% 2.55/2.99 skol25 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 parent1[0]: (8057) {G15,W4,D2,L1,V3,M1} R(8044,2);r(8044) { coll( Z, Y, X )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := skol16( skol25, X, skol25 )
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8367) {G19,W8,D3,L1,V3,M1} R(8363,110);r(8057) { perp( skol16
% 2.55/2.99 ( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 parent0: (18327) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18328) {G1,W8,D3,L1,V3,M1} { perp( Y, Z, skol16( X, Y, Z ), X
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/2.99 X, Y ) }.
% 2.55/2.99 parent1[0]: (8367) {G19,W8,D3,L1,V3,M1} R(8363,110);r(8057) { perp( skol16
% 2.55/2.99 ( X, Y, Z ), X, Y, Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := skol16( X, Y, Z )
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Y
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8398) {G20,W8,D3,L1,V3,M1} R(8367,7) { perp( X, Y, skol16( Z
% 2.55/2.99 , X, Y ), Z ) }.
% 2.55/2.99 parent0: (18328) {G1,W8,D3,L1,V3,M1} { perp( Y, Z, skol16( X, Y, Z ), X )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := Z
% 2.55/2.99 Y := X
% 2.55/2.99 Z := Y
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18329) {G1,W8,D3,L1,V3,M1} { perp( X, Y, Z, skol16( Z, X, Y )
% 2.55/2.99 ) }.
% 2.55/2.99 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/2.99 T, Z ) }.
% 2.55/2.99 parent1[0]: (8398) {G20,W8,D3,L1,V3,M1} R(8367,7) { perp( X, Y, skol16( Z,
% 2.55/2.99 X, Y ), Z ) }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := skol16( Z, X, Y )
% 2.55/2.99 T := Z
% 2.55/2.99 end
% 2.55/2.99 substitution1:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 subsumption: (8408) {G21,W8,D3,L1,V3,M1} R(8398,6) { perp( X, Y, Z, skol16
% 2.55/2.99 ( Z, X, Y ) ) }.
% 2.55/2.99 parent0: (18329) {G1,W8,D3,L1,V3,M1} { perp( X, Y, Z, skol16( Z, X, Y ) )
% 2.55/2.99 }.
% 2.55/2.99 substitution0:
% 2.55/2.99 X := X
% 2.55/2.99 Y := Y
% 2.55/2.99 Z := Z
% 2.55/2.99 end
% 2.55/2.99 permutation0:
% 2.55/2.99 0 ==> 0
% 2.55/2.99 end
% 2.55/2.99
% 2.55/2.99 resolution: (18330) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/3.00 X, Y ) }.
% 2.55/3.00 parent1[0]: (8408) {G21,W8,D3,L1,V3,M1} R(8398,6) { perp( X, Y, Z, skol16(
% 2.55/3.00 Z, X, Y ) ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 T := skol16( Z, X, Y )
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (8439) {G22,W8,D3,L1,V3,M1} R(8408,7) { perp( X, skol16( X, Y
% 2.55/3.00 , Z ), Y, Z ) }.
% 2.55/3.00 parent0: (18330) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := Y
% 2.55/3.00 Y := Z
% 2.55/3.00 Z := X
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18331) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0]: (153) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 2.55/3.00 X, skol10( X, X, Z ), Z, X ) }.
% 2.55/3.00 parent1[0]: (8439) {G22,W8,D3,L1,V3,M1} R(8408,7) { perp( X, skol16( X, Y,
% 2.55/3.00 Z ), Y, Z ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := skol16( X, X, Y )
% 2.55/3.00 Z := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := X
% 2.55/3.00 Z := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (8442) {G23,W8,D3,L1,V2,M1} R(8439,153) { perp( X, skol10( X,
% 2.55/3.00 X, Y ), Y, X ) }.
% 2.55/3.00 parent0: (18331) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18332) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y )
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/3.00 X, Y ) }.
% 2.55/3.00 parent1[0]: (8442) {G23,W8,D3,L1,V2,M1} R(8439,153) { perp( X, skol10( X, X
% 2.55/3.00 , Y ), Y, X ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := skol10( X, X, Y )
% 2.55/3.00 Z := Y
% 2.55/3.00 T := X
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (8569) {G24,W8,D3,L1,V2,M1} R(8442,7) { perp( X, Y, Y, skol10
% 2.55/3.00 ( Y, Y, X ) ) }.
% 2.55/3.00 parent0: (18332) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y ) )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := Y
% 2.55/3.00 Y := X
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18333) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol10( Y, Y, X ), Y
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/3.00 T, Z ) }.
% 2.55/3.00 parent1[0]: (8569) {G24,W8,D3,L1,V2,M1} R(8442,7) { perp( X, Y, Y, skol10(
% 2.55/3.00 Y, Y, X ) ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Y
% 2.55/3.00 T := skol10( Y, Y, X )
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (8577) {G25,W8,D3,L1,V2,M1} R(8569,6) { perp( X, Y, skol10( Y
% 2.55/3.00 , Y, X ), Y ) }.
% 2.55/3.00 parent0: (18333) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol10( Y, Y, X ), Y )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18334) {G1,W8,D3,L1,V2,M1} { perp( skol10( Y, Y, X ), Y, X, Y
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/3.00 X, Y ) }.
% 2.55/3.00 parent1[0]: (8577) {G25,W8,D3,L1,V2,M1} R(8569,6) { perp( X, Y, skol10( Y,
% 2.55/3.00 Y, X ), Y ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := skol10( Y, Y, X )
% 2.55/3.00 T := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (8602) {G26,W8,D3,L1,V2,M1} R(8577,7) { perp( skol10( X, X, Y
% 2.55/3.00 ), X, Y, X ) }.
% 2.55/3.00 parent0: (18334) {G1,W8,D3,L1,V2,M1} { perp( skol10( Y, Y, X ), Y, X, Y )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := Y
% 2.55/3.00 Y := X
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18335) {G1,W8,D3,L1,V2,M1} { perp( skol10( X, X, Y ), X, X, Y
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/3.00 T, Z ) }.
% 2.55/3.00 parent1[0]: (8602) {G26,W8,D3,L1,V2,M1} R(8577,7) { perp( skol10( X, X, Y )
% 2.55/3.00 , X, Y, X ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol10( X, X, Y )
% 2.55/3.00 Y := X
% 2.55/3.00 Z := Y
% 2.55/3.00 T := X
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (8610) {G27,W8,D3,L1,V2,M1} R(8602,6) { perp( skol10( X, X, Y
% 2.55/3.00 ), X, X, Y ) }.
% 2.55/3.00 parent0: (18335) {G1,W8,D3,L1,V2,M1} { perp( skol10( X, X, Y ), X, X, Y )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18336) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol10( X, X, Y ), X
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.55/3.00 X, Y ) }.
% 2.55/3.00 parent1[0]: (8610) {G27,W8,D3,L1,V2,M1} R(8602,6) { perp( skol10( X, X, Y )
% 2.55/3.00 , X, X, Y ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol10( X, X, Y )
% 2.55/3.00 Y := X
% 2.55/3.00 Z := X
% 2.55/3.00 T := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (8616) {G28,W8,D3,L1,V2,M1} R(8610,7) { perp( X, Y, skol10( X
% 2.55/3.00 , X, Y ), X ) }.
% 2.55/3.00 parent0: (18336) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol10( X, X, Y ), X )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18337) {G1,W8,D3,L1,V2,M1} { perp( X, Y, X, skol10( X, X, Y )
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.55/3.00 T, Z ) }.
% 2.55/3.00 parent1[0]: (8616) {G28,W8,D3,L1,V2,M1} R(8610,7) { perp( X, Y, skol10( X,
% 2.55/3.00 X, Y ), X ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := skol10( X, X, Y )
% 2.55/3.00 T := X
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (8621) {G29,W8,D3,L1,V2,M1} R(8616,6) { perp( X, Y, X, skol10
% 2.55/3.00 ( X, X, Y ) ) }.
% 2.55/3.00 parent0: (18337) {G1,W8,D3,L1,V2,M1} { perp( X, Y, X, skol10( X, X, Y ) )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18338) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 2.55/3.00 parent0[0]: (305) {G2,W10,D2,L2,V4,M2} F(289) { ! perp( X, Y, Z, T ), para
% 2.55/3.00 ( X, Y, X, Y ) }.
% 2.55/3.00 parent1[0]: (8621) {G29,W8,D3,L1,V2,M1} R(8616,6) { perp( X, Y, X, skol10(
% 2.55/3.00 X, X, Y ) ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := X
% 2.55/3.00 T := skol10( X, X, Y )
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (9755) {G30,W5,D2,L1,V2,M1} R(305,8621) { para( X, Y, X, Y )
% 2.55/3.00 }.
% 2.55/3.00 parent0: (18338) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18339) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[1]: (141) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.55/3.00 , T, Z, T ), midp( X, T, T ) }.
% 2.55/3.00 parent1[0]: (9755) {G30,W5,D2,L1,V2,M1} R(305,8621) { para( X, Y, X, Y )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Y
% 2.55/3.00 T := Z
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := Y
% 2.55/3.00 Y := Z
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (9759) {G31,W8,D2,L2,V3,M2} R(9755,141) { ! midp( X, Y, Y ),
% 2.55/3.00 midp( X, Z, Z ) }.
% 2.55/3.00 parent0: (18339) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18340) {G12,W6,D3,L1,V1,M1} { midp( skol7( skol20, skol20 ),
% 2.55/3.00 X, X ) }.
% 2.55/3.00 parent0[0]: (9759) {G31,W8,D2,L2,V3,M2} R(9755,141) { ! midp( X, Y, Y ),
% 2.55/3.00 midp( X, Z, Z ) }.
% 2.55/3.00 parent1[0]: (8133) {G11,W6,D3,L1,V1,M1} R(7907,10) { midp( skol7( skol20, X
% 2.55/3.00 ), X, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol7( skol20, skol20 )
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := X
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := skol20
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (10536) {G32,W6,D3,L1,V1,M1} R(9759,8133) { midp( skol7(
% 2.55/3.00 skol20, skol20 ), X, X ) }.
% 2.55/3.00 parent0: (18340) {G12,W6,D3,L1,V1,M1} { midp( skol7( skol20, skol20 ), X,
% 2.55/3.00 X ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18341) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol20, skol20,
% 2.55/3.00 skol20, skol20 ), ! cyclic( skol20, skol20, skol20, skol20 ), cong(
% 2.55/3.00 skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent0[2]: (135) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 2.55/3.00 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 2.55/3.00 , U ) }.
% 2.55/3.00 parent1[0]: (8145) {G13,W9,D2,L1,V3,M1} R(8141,39) { eqangle( X, X, Y, Z,
% 2.55/3.00 skol20, skol20, Y, Z ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 T := skol20
% 2.55/3.00 U := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 factor: (18342) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol20, skol20, skol20,
% 2.55/3.00 skol20 ), cong( skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent0[0, 1]: (18341) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol20, skol20,
% 2.55/3.00 skol20, skol20 ), ! cyclic( skol20, skol20, skol20, skol20 ), cong(
% 2.55/3.00 skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18344) {G3,W5,D2,L1,V0,M1} { cong( skol20, skol20, skol20,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 parent0[0]: (18342) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol20, skol20,
% 2.55/3.00 skol20, skol20 ), cong( skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent1[0]: (7150) {G4,W5,D2,L1,V0,M1} R(132,7117) { cyclic( skol20, skol20
% 2.55/3.00 , skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (11322) {G14,W5,D2,L1,V0,M1} R(8145,135);f;r(7150) { cong(
% 2.55/3.00 skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent0: (18344) {G3,W5,D2,L1,V0,M1} { cong( skol20, skol20, skol20,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18345) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol20, skol20,
% 2.55/3.00 skol20, skol20 ), perp( skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent0[0]: (138) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 2.55/3.00 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.55/3.00 parent1[0]: (11322) {G14,W5,D2,L1,V0,M1} R(8145,135);f;r(7150) { cong(
% 2.55/3.00 skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18346) {G3,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol20,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 parent0[0]: (18345) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol20, skol20,
% 2.55/3.00 skol20, skol20 ), perp( skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent1[0]: (7150) {G4,W5,D2,L1,V0,M1} R(132,7117) { cyclic( skol20, skol20
% 2.55/3.00 , skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (11331) {G15,W5,D2,L1,V0,M1} R(11322,138);r(7150) { perp(
% 2.55/3.00 skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent0: (18346) {G3,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol20,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18347) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol20, skol20 ), !
% 2.55/3.00 para( X, Y, skol20, skol20 ) }.
% 2.55/3.00 parent0[0]: (321) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 2.55/3.00 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 2.55/3.00 parent1[0]: (11331) {G15,W5,D2,L1,V0,M1} R(11322,138);r(7150) { perp(
% 2.55/3.00 skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 T := skol20
% 2.55/3.00 U := X
% 2.55/3.00 W := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (11347) {G16,W10,D2,L2,V2,M2} R(11331,321) { perp( X, Y,
% 2.55/3.00 skol20, skol20 ), ! para( X, Y, skol20, skol20 ) }.
% 2.55/3.00 parent0: (18347) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol20, skol20 ), !
% 2.55/3.00 para( X, Y, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18349) {G2,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, X, Y )
% 2.55/3.00 , para( skol20, skol20, X, Y ) }.
% 2.55/3.00 parent0[2]: (290) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 2.55/3.00 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 2.55/3.00 parent1[0]: (11331) {G15,W5,D2,L1,V0,M1} R(11322,138);r(7150) { perp(
% 2.55/3.00 skol20, skol20, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := X
% 2.55/3.00 T := Y
% 2.55/3.00 U := skol20
% 2.55/3.00 W := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (11364) {G16,W10,D2,L2,V2,M2} R(11331,290) { ! perp( skol20,
% 2.55/3.00 skol20, X, Y ), para( skol20, skol20, X, Y ) }.
% 2.55/3.00 parent0: (18349) {G2,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, X, Y ),
% 2.55/3.00 para( skol20, skol20, X, Y ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18350) {G3,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol25,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 parent0[0]: (514) {G2,W10,D2,L2,V4,M2} F(503) { ! cong( X, Y, Z, T ), cong
% 2.55/3.00 ( X, Y, X, Y ) }.
% 2.55/3.00 parent1[0]: (2409) {G3,W5,D2,L1,V0,M1} R(2399,22) { cong( skol25, skol20,
% 2.55/3.00 skol22, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol25
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol22
% 2.55/3.00 T := skol25
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (12531) {G4,W5,D2,L1,V0,M1} R(514,2409) { cong( skol25, skol20
% 2.55/3.00 , skol25, skol20 ) }.
% 2.55/3.00 parent0: (18350) {G3,W5,D2,L1,V0,M1} { cong( skol25, skol20, skol25,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18351) {G1,W9,D2,L1,V0,M1} { eqangle( skol25, skol20, skol20
% 2.55/3.00 , skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 parent0[0]: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 2.55/3.00 , X, X, Y, X, Y, Z, Y ) }.
% 2.55/3.00 parent1[0]: (12531) {G4,W5,D2,L1,V0,M1} R(514,2409) { cong( skol25, skol20
% 2.55/3.00 , skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol25
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (12792) {G5,W9,D2,L1,V0,M1} R(12531,46) { eqangle( skol25,
% 2.55/3.00 skol20, skol20, skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 parent0: (18351) {G1,W9,D2,L1,V0,M1} { eqangle( skol25, skol20, skol20,
% 2.55/3.00 skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18352) {G2,W9,D2,L1,V0,M1} { eqangle( skol20, skol25, skol20
% 2.55/3.00 , skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 parent0[1]: (438) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 2.55/3.00 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.55/3.00 parent1[0]: (12792) {G5,W9,D2,L1,V0,M1} R(12531,46) { eqangle( skol25,
% 2.55/3.00 skol20, skol20, skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol25
% 2.55/3.00 Z := skol20
% 2.55/3.00 T := skol20
% 2.55/3.00 U := skol20
% 2.55/3.00 W := skol20
% 2.55/3.00 V0 := skol25
% 2.55/3.00 V1 := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13436) {G6,W9,D2,L1,V0,M1} R(12792,438) { eqangle( skol20,
% 2.55/3.00 skol25, skol20, skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 parent0: (18352) {G2,W9,D2,L1,V0,M1} { eqangle( skol20, skol25, skol20,
% 2.55/3.00 skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18353) {G1,W10,D2,L2,V0,M2} { para( skol25, skol20, skol20,
% 2.55/3.00 skol20 ), perp( skol25, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 2.55/3.00 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.55/3.00 parent1[0]: (12792) {G5,W9,D2,L1,V0,M1} R(12531,46) { eqangle( skol25,
% 2.55/3.00 skol20, skol20, skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol25
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 T := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18354) {G2,W10,D2,L2,V0,M2} { perp( skol25, skol20, skol20,
% 2.55/3.00 skol20 ), perp( skol25, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent0[1]: (11347) {G16,W10,D2,L2,V2,M2} R(11331,321) { perp( X, Y, skol20
% 2.55/3.00 , skol20 ), ! para( X, Y, skol20, skol20 ) }.
% 2.55/3.00 parent1[0]: (18353) {G1,W10,D2,L2,V0,M2} { para( skol25, skol20, skol20,
% 2.55/3.00 skol20 ), perp( skol25, skol20, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol25
% 2.55/3.00 Y := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 factor: (18355) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol20, skol20
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0, 1]: (18354) {G2,W10,D2,L2,V0,M2} { perp( skol25, skol20, skol20
% 2.55/3.00 , skol20 ), perp( skol25, skol20, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13440) {G17,W5,D2,L1,V0,M1} R(12792,71);r(11347) { perp(
% 2.55/3.00 skol25, skol20, skol20, skol20 ) }.
% 2.55/3.00 parent0: (18355) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol20,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18356) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol25,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 parent0[1]: (279) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 2.55/3.00 ( Z, T, Y, X ) }.
% 2.55/3.00 parent1[0]: (13440) {G17,W5,D2,L1,V0,M1} R(12792,71);r(11347) { perp(
% 2.55/3.00 skol25, skol20, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol25
% 2.55/3.00 T := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13467) {G18,W5,D2,L1,V0,M1} R(13440,279) { perp( skol20,
% 2.55/3.00 skol20, skol25, skol20 ) }.
% 2.55/3.00 parent0: (18356) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol25,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18357) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol20, skol20
% 2.55/3.00 , skol20, skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 parent0[1]: (424) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W
% 2.55/3.00 , V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.55/3.00 parent1[0]: (13436) {G6,W9,D2,L1,V0,M1} R(12792,438) { eqangle( skol20,
% 2.55/3.00 skol25, skol20, skol20, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol25
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 T := skol20
% 2.55/3.00 U := skol20
% 2.55/3.00 W := skol20
% 2.55/3.00 V0 := skol20
% 2.55/3.00 V1 := skol25
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13663) {G7,W9,D2,L1,V0,M1} R(13436,424) { eqangle( skol25,
% 2.55/3.00 skol20, skol20, skol20, skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 parent0: (18357) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol20, skol20,
% 2.55/3.00 skol20, skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18358) {G2,W9,D2,L1,V0,M1} { eqangle( skol20, skol20, skol20
% 2.55/3.00 , skol25, skol20, skol25, skol20, skol20 ) }.
% 2.55/3.00 parent0[1]: (425) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W
% 2.55/3.00 , V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.55/3.00 parent1[0]: (13663) {G7,W9,D2,L1,V0,M1} R(13436,424) { eqangle( skol25,
% 2.55/3.00 skol20, skol20, skol20, skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 T := skol25
% 2.55/3.00 U := skol20
% 2.55/3.00 W := skol25
% 2.55/3.00 V0 := skol20
% 2.55/3.00 V1 := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13665) {G8,W9,D2,L1,V0,M1} R(13663,425) { eqangle( skol20,
% 2.55/3.00 skol20, skol20, skol25, skol20, skol25, skol20, skol20 ) }.
% 2.55/3.00 parent0: (18358) {G2,W9,D2,L1,V0,M1} { eqangle( skol20, skol20, skol20,
% 2.55/3.00 skol25, skol20, skol25, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18359) {G1,W10,D2,L2,V0,M2} { para( skol20, skol20, skol20,
% 2.55/3.00 skol25 ), perp( skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 2.55/3.00 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.55/3.00 parent1[0]: (13665) {G8,W9,D2,L1,V0,M1} R(13663,425) { eqangle( skol20,
% 2.55/3.00 skol20, skol20, skol25, skol20, skol25, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 T := skol25
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18360) {G2,W10,D2,L2,V0,M2} { para( skol20, skol20, skol20,
% 2.55/3.00 skol25 ), para( skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 parent0[0]: (11364) {G16,W10,D2,L2,V2,M2} R(11331,290) { ! perp( skol20,
% 2.55/3.00 skol20, X, Y ), para( skol20, skol20, X, Y ) }.
% 2.55/3.00 parent1[1]: (18359) {G1,W10,D2,L2,V0,M2} { para( skol20, skol20, skol20,
% 2.55/3.00 skol25 ), perp( skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol25
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 factor: (18361) {G2,W5,D2,L1,V0,M1} { para( skol20, skol20, skol20, skol25
% 2.55/3.00 ) }.
% 2.55/3.00 parent0[0, 1]: (18360) {G2,W10,D2,L2,V0,M2} { para( skol20, skol20, skol20
% 2.55/3.00 , skol25 ), para( skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13666) {G17,W5,D2,L1,V0,M1} R(13665,71);r(11364) { para(
% 2.55/3.00 skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 parent0: (18361) {G2,W5,D2,L1,V0,M1} { para( skol20, skol20, skol20,
% 2.55/3.00 skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18362) {G2,W5,D2,L1,V0,M1} { para( skol20, skol25, skol20,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 parent0[0]: (227) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 2.55/3.00 ( Z, T, Y, X ) }.
% 2.55/3.00 parent1[0]: (13666) {G17,W5,D2,L1,V0,M1} R(13665,71);r(11364) { para(
% 2.55/3.00 skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 T := skol25
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13690) {G18,W5,D2,L1,V0,M1} R(13666,227) { para( skol20,
% 2.55/3.00 skol25, skol20, skol20 ) }.
% 2.55/3.00 parent0: (18362) {G2,W5,D2,L1,V0,M1} { para( skol20, skol25, skol20,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18363) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol20, skol20 ), !
% 2.55/3.00 para( skol20, skol25, skol20, skol20 ), midp( X, skol20, skol25 ) }.
% 2.55/3.00 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 2.55/3.00 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.55/3.00 parent1[0]: (13666) {G17,W5,D2,L1,V0,M1} R(13665,71);r(11364) { para(
% 2.55/3.00 skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol25
% 2.55/3.00 Z := X
% 2.55/3.00 T := skol20
% 2.55/3.00 U := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18365) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol20 ),
% 2.55/3.00 midp( X, skol20, skol25 ) }.
% 2.55/3.00 parent0[1]: (18363) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol20, skol20 ), !
% 2.55/3.00 para( skol20, skol25, skol20, skol20 ), midp( X, skol20, skol25 ) }.
% 2.55/3.00 parent1[0]: (13690) {G18,W5,D2,L1,V0,M1} R(13666,227) { para( skol20,
% 2.55/3.00 skol25, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13693) {G19,W8,D2,L2,V1,M2} R(13666,64);r(13690) { ! midp( X
% 2.55/3.00 , skol20, skol20 ), midp( X, skol20, skol25 ) }.
% 2.55/3.00 parent0: (18365) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol20 ), midp(
% 2.55/3.00 X, skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18366) {G1,W5,D2,L1,V0,M1} { para( skol20, skol20, skol25,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.55/3.00 T, Z ) }.
% 2.55/3.00 parent1[0]: (13666) {G17,W5,D2,L1,V0,M1} R(13665,71);r(11364) { para(
% 2.55/3.00 skol20, skol20, skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol20
% 2.55/3.00 T := skol25
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13699) {G18,W5,D2,L1,V0,M1} R(13666,3) { para( skol20, skol20
% 2.55/3.00 , skol25, skol20 ) }.
% 2.55/3.00 parent0: (18366) {G1,W5,D2,L1,V0,M1} { para( skol20, skol20, skol25,
% 2.55/3.00 skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18367) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol20, skol25 ), !
% 2.55/3.00 para( skol20, skol20, skol25, skol20 ), midp( X, skol20, skol20 ) }.
% 2.55/3.00 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 2.55/3.00 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.55/3.00 parent1[0]: (13699) {G18,W5,D2,L1,V0,M1} R(13666,3) { para( skol20, skol20
% 2.55/3.00 , skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := X
% 2.55/3.00 T := skol20
% 2.55/3.00 U := skol25
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18368) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol25 ),
% 2.55/3.00 midp( X, skol20, skol20 ) }.
% 2.55/3.00 parent0[1]: (18367) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol20, skol25 ), !
% 2.55/3.00 para( skol20, skol20, skol25, skol20 ), midp( X, skol20, skol20 ) }.
% 2.55/3.00 parent1[0]: (13699) {G18,W5,D2,L1,V0,M1} R(13666,3) { para( skol20, skol20
% 2.55/3.00 , skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13751) {G19,W8,D2,L2,V1,M2} R(13699,64);r(13699) { ! midp( X
% 2.55/3.00 , skol20, skol25 ), midp( X, skol20, skol20 ) }.
% 2.55/3.00 parent0: (18368) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol25 ), midp(
% 2.55/3.00 X, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18369) {G1,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, X, Y,
% 2.55/3.00 skol25, skol20, X, Y ) }.
% 2.55/3.00 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.55/3.00 , Y, U, W, Z, T, U, W ) }.
% 2.55/3.00 parent1[0]: (13699) {G18,W5,D2,L1,V0,M1} R(13666,3) { para( skol20, skol20
% 2.55/3.00 , skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol25
% 2.55/3.00 T := skol20
% 2.55/3.00 U := X
% 2.55/3.00 W := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13753) {G19,W9,D2,L1,V2,M1} R(13699,39) { eqangle( skol20,
% 2.55/3.00 skol20, X, Y, skol25, skol20, X, Y ) }.
% 2.55/3.00 parent0: (18369) {G1,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, X, Y,
% 2.55/3.00 skol25, skol20, X, Y ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18370) {G20,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X,
% 2.55/3.00 skol20, skol25 ) }.
% 2.55/3.00 parent0[0]: (9759) {G31,W8,D2,L2,V3,M2} R(9755,141) { ! midp( X, Y, Y ),
% 2.55/3.00 midp( X, Z, Z ) }.
% 2.55/3.00 parent1[1]: (13751) {G19,W8,D2,L2,V1,M2} R(13699,64);r(13699) { ! midp( X,
% 2.55/3.00 skol20, skol25 ), midp( X, skol20, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13758) {G32,W8,D2,L2,V2,M2} R(13751,9759) { ! midp( X, skol20
% 2.55/3.00 , skol25 ), midp( X, Y, Y ) }.
% 2.55/3.00 parent0: (18370) {G20,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X, skol20
% 2.55/3.00 , skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 1
% 2.55/3.00 1 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18371) {G1,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X,
% 2.55/3.00 skol25, skol20 ) }.
% 2.55/3.00 parent0[0]: (13758) {G32,W8,D2,L2,V2,M2} R(13751,9759) { ! midp( X, skol20
% 2.55/3.00 , skol25 ), midp( X, Y, Y ) }.
% 2.55/3.00 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.55/3.00 }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol25
% 2.55/3.00 Z := X
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13802) {G33,W8,D2,L2,V2,M2} R(13758,10) { midp( X, Y, Y ), !
% 2.55/3.00 midp( X, skol25, skol20 ) }.
% 2.55/3.00 parent0: (18371) {G1,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X, skol25
% 2.55/3.00 , skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18372) {G20,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.55/3.00 skol20, skol25 ) }.
% 2.55/3.00 parent0[0]: (13693) {G19,W8,D2,L2,V1,M2} R(13666,64);r(13690) { ! midp( X,
% 2.55/3.00 skol20, skol20 ), midp( X, skol20, skol25 ) }.
% 2.55/3.00 parent1[0]: (10536) {G32,W6,D3,L1,V1,M1} R(9759,8133) { midp( skol7( skol20
% 2.55/3.00 , skol20 ), X, X ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol7( skol20, skol20 )
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := skol20
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13824) {G33,W6,D3,L1,V0,M1} R(13693,10536) { midp( skol7(
% 2.55/3.00 skol20, skol20 ), skol20, skol25 ) }.
% 2.55/3.00 parent0: (18372) {G20,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.55/3.00 skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18373) {G1,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.55/3.00 skol25, skol20 ) }.
% 2.55/3.00 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.55/3.00 }.
% 2.55/3.00 parent1[0]: (13824) {G33,W6,D3,L1,V0,M1} R(13693,10536) { midp( skol7(
% 2.55/3.00 skol20, skol20 ), skol20, skol25 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol25
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol7( skol20, skol20 )
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13872) {G34,W6,D3,L1,V0,M1} R(13824,10) { midp( skol7( skol20
% 2.55/3.00 , skol20 ), skol25, skol20 ) }.
% 2.55/3.00 parent0: (18373) {G1,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.55/3.00 skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18374) {G2,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, skol25
% 2.55/3.00 , skol20, X, Y, X, Y ) }.
% 2.55/3.00 parent0[1]: (438) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 2.55/3.00 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.55/3.00 parent1[0]: (13753) {G19,W9,D2,L1,V2,M1} R(13699,39) { eqangle( skol20,
% 2.55/3.00 skol20, X, Y, skol25, skol20, X, Y ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol25
% 2.55/3.00 T := skol20
% 2.55/3.00 U := X
% 2.55/3.00 W := Y
% 2.55/3.00 V0 := X
% 2.55/3.00 V1 := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13917) {G20,W9,D2,L1,V2,M1} R(13753,438) { eqangle( skol20,
% 2.55/3.00 skol20, skol25, skol20, X, Y, X, Y ) }.
% 2.55/3.00 parent0: (18374) {G2,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, skol25,
% 2.55/3.00 skol20, X, Y, X, Y ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18375) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol20,
% 2.55/3.00 skol20, skol25, skol20 ) }.
% 2.55/3.00 parent0[0]: (426) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.55/3.00 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.55/3.00 parent1[0]: (13917) {G20,W9,D2,L1,V2,M1} R(13753,438) { eqangle( skol20,
% 2.55/3.00 skol20, skol25, skol20, X, Y, X, Y ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol20
% 2.55/3.00 Z := skol25
% 2.55/3.00 T := skol20
% 2.55/3.00 U := X
% 2.55/3.00 W := Y
% 2.55/3.00 V0 := X
% 2.55/3.00 V1 := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13923) {G21,W9,D2,L1,V2,M1} R(13917,426) { eqangle( X, Y, Y,
% 2.55/3.00 X, skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 parent0: (18375) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol20, skol20
% 2.55/3.00 , skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := Y
% 2.55/3.00 Y := X
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18376) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, skol25
% 2.55/3.00 , skol20 ), perp( X, Y, Y, X ) }.
% 2.55/3.00 parent0[0]: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.55/3.00 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.55/3.00 parent1[0]: (13923) {G21,W9,D2,L1,V2,M1} R(13917,426) { eqangle( X, Y, Y, X
% 2.55/3.00 , skol20, skol20, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Y
% 2.55/3.00 T := X
% 2.55/3.00 U := skol20
% 2.55/3.00 W := skol20
% 2.55/3.00 V0 := skol25
% 2.55/3.00 V1 := skol20
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18377) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 2.55/3.00 parent0[0]: (18376) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, skol25
% 2.55/3.00 , skol20 ), perp( X, Y, Y, X ) }.
% 2.55/3.00 parent1[0]: (13467) {G18,W5,D2,L1,V0,M1} R(13440,279) { perp( skol20,
% 2.55/3.00 skol20, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13930) {G22,W5,D2,L1,V2,M1} R(13923,73);r(13467) { perp( X, Y
% 2.55/3.00 , Y, X ) }.
% 2.55/3.00 parent0: (18377) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18378) {G1,W9,D2,L2,V3,M2} { ! midp( Z, X, X ), cong( X, Z, Y
% 2.55/3.00 , Z ) }.
% 2.55/3.00 parent0[0]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 2.55/3.00 X, T ), cong( X, Z, Y, Z ) }.
% 2.55/3.00 parent1[0]: (13930) {G22,W5,D2,L1,V2,M1} R(13923,73);r(13467) { perp( X, Y
% 2.55/3.00 , Y, X ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 T := X
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (13962) {G23,W9,D2,L2,V3,M2} R(13930,52) { ! midp( X, Y, Y ),
% 2.55/3.00 cong( Y, X, Z, X ) }.
% 2.55/3.00 parent0: (18378) {G1,W9,D2,L2,V3,M2} { ! midp( Z, X, X ), cong( X, Z, Y, Z
% 2.55/3.00 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := Y
% 2.55/3.00 Y := Z
% 2.55/3.00 Z := X
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18379) {G24,W9,D2,L2,V4,M2} { cong( Y, X, Z, X ), ! midp( X,
% 2.55/3.00 T, T ) }.
% 2.55/3.00 parent0[0]: (13962) {G23,W9,D2,L2,V3,M2} R(13930,52) { ! midp( X, Y, Y ),
% 2.55/3.00 cong( Y, X, Z, X ) }.
% 2.55/3.00 parent1[1]: (9759) {G31,W8,D2,L2,V3,M2} R(9755,141) { ! midp( X, Y, Y ),
% 2.55/3.00 midp( X, Z, Z ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := T
% 2.55/3.00 Z := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (17231) {G32,W9,D2,L2,V4,M2} R(13962,9759) { cong( X, Y, Z, Y
% 2.55/3.00 ), ! midp( Y, T, T ) }.
% 2.55/3.00 parent0: (18379) {G24,W9,D2,L2,V4,M2} { cong( Y, X, Z, X ), ! midp( X, T,
% 2.55/3.00 T ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := Y
% 2.55/3.00 Y := X
% 2.55/3.00 Z := Z
% 2.55/3.00 T := T
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18380) {G2,W9,D2,L2,V4,M2} { perp( X, Z, Y, Y ), ! midp( Y, T
% 2.55/3.00 , T ) }.
% 2.55/3.00 parent0[0]: (137) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp(
% 2.55/3.00 X, Z, Y, Y ) }.
% 2.55/3.00 parent1[0]: (17231) {G32,W9,D2,L2,V4,M2} R(13962,9759) { cong( X, Y, Z, Y )
% 2.55/3.00 , ! midp( Y, T, T ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 T := T
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (17278) {G33,W9,D2,L2,V4,M2} R(17231,137) { ! midp( X, Y, Y )
% 2.55/3.00 , perp( Z, T, X, X ) }.
% 2.55/3.00 parent0: (18380) {G2,W9,D2,L2,V4,M2} { perp( X, Z, Y, Y ), ! midp( Y, T, T
% 2.55/3.00 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := Z
% 2.55/3.00 Y := X
% 2.55/3.00 Z := T
% 2.55/3.00 T := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 1
% 2.55/3.00 1 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18381) {G34,W9,D2,L2,V3,M2} { perp( Z, T, X, X ), ! midp( X,
% 2.55/3.00 skol25, skol20 ) }.
% 2.55/3.00 parent0[0]: (17278) {G33,W9,D2,L2,V4,M2} R(17231,137) { ! midp( X, Y, Y ),
% 2.55/3.00 perp( Z, T, X, X ) }.
% 2.55/3.00 parent1[0]: (13802) {G33,W8,D2,L2,V2,M2} R(13758,10) { midp( X, Y, Y ), !
% 2.55/3.00 midp( X, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 T := T
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (17351) {G34,W9,D2,L2,V3,M2} R(17278,13802) { perp( X, Y, Z, Z
% 2.55/3.00 ), ! midp( Z, skol25, skol20 ) }.
% 2.55/3.00 parent0: (18381) {G34,W9,D2,L2,V3,M2} { perp( Z, T, X, X ), ! midp( X,
% 2.55/3.00 skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := Z
% 2.55/3.00 Y := T
% 2.55/3.00 Z := X
% 2.55/3.00 T := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18382) {G2,W9,D2,L2,V4,M2} { perp( Z, Z, Y, X ), ! midp( Z, T
% 2.55/3.00 , T ) }.
% 2.55/3.00 parent0[0]: (280) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.55/3.00 ( Z, T, Y, X ) }.
% 2.55/3.00 parent1[1]: (17278) {G33,W9,D2,L2,V4,M2} R(17231,137) { ! midp( X, Y, Y ),
% 2.55/3.00 perp( Z, T, X, X ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 T := Z
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := Z
% 2.55/3.00 Y := T
% 2.55/3.00 Z := X
% 2.55/3.00 T := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (17371) {G34,W9,D2,L2,V4,M2} R(17278,280) { ! midp( X, Y, Y )
% 2.55/3.00 , perp( X, X, Z, T ) }.
% 2.55/3.00 parent0: (18382) {G2,W9,D2,L2,V4,M2} { perp( Z, Z, Y, X ), ! midp( Z, T, T
% 2.55/3.00 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := T
% 2.55/3.00 Y := Z
% 2.55/3.00 Z := X
% 2.55/3.00 T := Y
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 1
% 2.55/3.00 1 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18383) {G34,W9,D2,L2,V3,M2} { perp( X, X, Z, T ), ! midp( X,
% 2.55/3.00 skol25, skol20 ) }.
% 2.55/3.00 parent0[0]: (17371) {G34,W9,D2,L2,V4,M2} R(17278,280) { ! midp( X, Y, Y ),
% 2.55/3.00 perp( X, X, Z, T ) }.
% 2.55/3.00 parent1[0]: (13802) {G33,W8,D2,L2,V2,M2} R(13758,10) { midp( X, Y, Y ), !
% 2.55/3.00 midp( X, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 Z := Z
% 2.55/3.00 T := T
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := Y
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (17374) {G35,W9,D2,L2,V3,M2} R(17371,13802) { perp( X, X, Y, Z
% 2.55/3.00 ), ! midp( X, skol25, skol20 ) }.
% 2.55/3.00 parent0: (18383) {G34,W9,D2,L2,V3,M2} { perp( X, X, Z, T ), ! midp( X,
% 2.55/3.00 skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := T
% 2.55/3.00 Z := Y
% 2.55/3.00 T := Z
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 1 ==> 1
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18384) {G2,W9,D2,L2,V1,M2} { ! perp( skol20, skol22, X, X ),
% 2.55/3.00 ! midp( X, skol25, skol20 ) }.
% 2.55/3.00 parent0[1]: (302) {G1,W10,D2,L2,V2,M2} R(8,124) { ! perp( skol20, skol22, X
% 2.55/3.00 , Y ), ! perp( X, Y, skol23, skol24 ) }.
% 2.55/3.00 parent1[0]: (17374) {G35,W9,D2,L2,V3,M2} R(17371,13802) { perp( X, X, Y, Z
% 2.55/3.00 ), ! midp( X, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 Y := X
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := X
% 2.55/3.00 Y := skol23
% 2.55/3.00 Z := skol24
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18385) {G3,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol20 ), !
% 2.55/3.00 midp( X, skol25, skol20 ) }.
% 2.55/3.00 parent0[0]: (18384) {G2,W9,D2,L2,V1,M2} { ! perp( skol20, skol22, X, X ),
% 2.55/3.00 ! midp( X, skol25, skol20 ) }.
% 2.55/3.00 parent1[0]: (17351) {G34,W9,D2,L2,V3,M2} R(17278,13802) { perp( X, Y, Z, Z
% 2.55/3.00 ), ! midp( Z, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 X := skol20
% 2.55/3.00 Y := skol22
% 2.55/3.00 Z := X
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 factor: (18386) {G3,W4,D2,L1,V1,M1} { ! midp( X, skol25, skol20 ) }.
% 2.55/3.00 parent0[0, 1]: (18385) {G3,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol20 ),
% 2.55/3.00 ! midp( X, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (17393) {G36,W4,D2,L1,V1,M1} R(17374,302);r(17351) { ! midp( X
% 2.55/3.00 , skol25, skol20 ) }.
% 2.55/3.00 parent0: (18386) {G3,W4,D2,L1,V1,M1} { ! midp( X, skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := X
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 0 ==> 0
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 resolution: (18387) {G35,W0,D0,L0,V0,M0} { }.
% 2.55/3.00 parent0[0]: (17393) {G36,W4,D2,L1,V1,M1} R(17374,302);r(17351) { ! midp( X
% 2.55/3.00 , skol25, skol20 ) }.
% 2.55/3.00 parent1[0]: (13872) {G34,W6,D3,L1,V0,M1} R(13824,10) { midp( skol7( skol20
% 2.55/3.00 , skol20 ), skol25, skol20 ) }.
% 2.55/3.00 substitution0:
% 2.55/3.00 X := skol7( skol20, skol20 )
% 2.55/3.00 end
% 2.55/3.00 substitution1:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 subsumption: (17395) {G37,W0,D0,L0,V0,M0} R(17393,13872) { }.
% 2.55/3.00 parent0: (18387) {G35,W0,D0,L0,V0,M0} { }.
% 2.55/3.00 substitution0:
% 2.55/3.00 end
% 2.55/3.00 permutation0:
% 2.55/3.00 end
% 2.55/3.00
% 2.55/3.00 Proof check complete!
% 2.55/3.00
% 2.55/3.00 Memory use:
% 2.55/3.00
% 2.55/3.00 space for terms: 291997
% 2.55/3.00 space for clauses: 885162
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 clauses generated: 137536
% 2.55/3.00 clauses kept: 17396
% 2.55/3.00 clauses selected: 2129
% 2.55/3.00 clauses deleted: 1187
% 2.55/3.00 clauses inuse deleted: 714
% 2.55/3.00
% 2.55/3.00 subsentry: 1191315
% 2.55/3.00 literals s-matched: 817428
% 2.55/3.00 literals matched: 436515
% 2.55/3.00 full subsumption: 172343
% 2.55/3.00
% 2.55/3.00 checksum: 1074977822
% 2.55/3.00
% 2.55/3.00
% 2.55/3.00 Bliksem ended
%------------------------------------------------------------------------------