TSTP Solution File: GEO633+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 3.73s 4.13s
% Output : Refutation 3.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sat Jun 18 02:28:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.84/1.20 *** allocated 10000 integers for termspace/termends
% 0.84/1.20 *** allocated 10000 integers for clauses
% 0.84/1.20 *** allocated 10000 integers for justifications
% 0.84/1.20 Bliksem 1.12
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Automatic Strategy Selection
% 0.84/1.20
% 0.84/1.20 *** allocated 15000 integers for termspace/termends
% 0.84/1.20
% 0.84/1.20 Clauses:
% 0.84/1.20
% 0.84/1.20 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.84/1.20 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.84/1.20 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.84/1.20 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.84/1.20 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.84/1.20 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.84/1.20 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.84/1.20 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.84/1.20 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.84/1.20 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.84/1.20 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.84/1.20 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.84/1.20 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.84/1.20 ( X, Y, Z, T ) }.
% 0.84/1.20 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.84/1.20 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.84/1.20 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.84/1.20 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.84/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.84/1.20 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.84/1.20 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.84/1.20 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.84/1.20 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.84/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.84/1.20 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.84/1.20 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.20 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.20 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.20 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.84/1.20 ( X, Y, Z, T, U, W ) }.
% 0.84/1.20 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.84/1.20 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.84/1.20 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.84/1.20 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.84/1.20 ( X, Y, Z, T, U, W ) }.
% 0.84/1.20 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.84/1.20 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.84/1.20 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.84/1.20 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.84/1.20 T ) }.
% 0.84/1.20 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.84/1.20 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.84/1.20 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.84/1.20 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.84/1.20 ) }.
% 0.84/1.20 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.84/1.20 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.84/1.20 }.
% 0.84/1.20 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.84/1.20 Z, Y ) }.
% 0.84/1.20 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.84/1.20 X, Z ) }.
% 0.84/1.20 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.84/1.20 U ) }.
% 0.84/1.20 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.84/1.20 , Z ), midp( Z, X, Y ) }.
% 0.84/1.20 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.84/1.20 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.84/1.20 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.84/1.20 Z, Y ) }.
% 0.84/1.20 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.84/1.20 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.84/1.20 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.84/1.20 ( Y, X, X, Z ) }.
% 0.84/1.20 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.84/1.20 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.20 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.84/1.20 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.84/1.20 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.84/1.20 , W ) }.
% 0.84/1.20 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.84/1.20 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.84/1.20 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.84/1.20 , Y ) }.
% 0.84/1.20 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.84/1.20 , X, Z, U, Y, Y, T ) }.
% 0.84/1.20 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.84/1.20 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.84/1.20 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.84/1.20 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.84/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.84/1.20 .
% 0.84/1.20 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.84/1.20 ) }.
% 0.84/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.84/1.20 , Z, T ) }.
% 0.84/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.84/1.20 , Z, T ) }.
% 0.84/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.84/1.20 , Z, T ) }.
% 0.84/1.20 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.84/1.20 , W, Z, T ), Z, T ) }.
% 0.84/1.20 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.84/1.20 , Y, Z, T ), X, Y ) }.
% 0.84/1.20 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.84/1.20 , W, Z, T ), Z, T ) }.
% 0.84/1.20 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.84/1.20 skol2( X, Y, Z, T ) ) }.
% 0.84/1.20 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.84/1.20 , W, Z, T ), Z, T ) }.
% 0.84/1.20 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.84/1.20 skol3( X, Y, Z, T ) ) }.
% 0.84/1.20 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.84/1.20 , T ) }.
% 0.84/1.20 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.84/1.20 ) ) }.
% 0.84/1.20 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.84/1.20 skol5( W, Y, Z, T ) ) }.
% 0.84/1.20 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.84/1.20 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.84/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.84/1.20 , X, T ) }.
% 0.84/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.84/1.20 W, X, Z ) }.
% 0.84/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.84/1.20 , Y, T ) }.
% 0.84/1.20 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.84/1.20 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.84/1.20 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.84/1.20 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.84/1.20 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.84/1.20 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.84/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.84/1.20 Z, T ) ) }.
% 0.84/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.84/1.20 , T ) ) }.
% 0.84/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.84/1.20 , X, Y ) }.
% 0.84/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.84/1.20 ) }.
% 0.84/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.84/1.20 , Y ) }.
% 0.84/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.84/1.20 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.84/1.20 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.84/1.20 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.84/1.20 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.73/4.13 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.73/4.13 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.73/4.13 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.73/4.13 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.73/4.13 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.73/4.13 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.73/4.13 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.73/4.13 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.73/4.13 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.73/4.13 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.73/4.13 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.13 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.73/4.13 X, Y, Z ) }.
% 3.73/4.13 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.73/4.13 }.
% 3.73/4.13 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.73/4.13 ) }.
% 3.73/4.13 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.73/4.13 skol17( X, Y ), X, Y ) }.
% 3.73/4.13 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.73/4.13 }.
% 3.73/4.13 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.73/4.13 ) }.
% 3.73/4.13 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.73/4.13 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.73/4.13 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.73/4.13 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.73/4.13 { midp( skol27, skol26, skol25 ) }.
% 3.73/4.13 { eqangle( skol22, skol20, skol20, skol25, skol26, skol20, skol20, skol27 )
% 3.73/4.13 }.
% 3.73/4.13 { coll( skol22, skol25, skol26 ) }.
% 3.73/4.13 { coll( skol28, skol20, skol27 ) }.
% 3.73/4.13 { perp( skol23, skol28, skol20, skol25 ) }.
% 3.73/4.13 { coll( skol23, skol20, skol25 ) }.
% 3.73/4.13 { perp( skol24, skol28, skol20, skol26 ) }.
% 3.73/4.13 { coll( skol24, skol20, skol26 ) }.
% 3.73/4.13 { ! perp( skol23, skol24, skol20, skol22 ) }.
% 3.73/4.13
% 3.73/4.13 percentage equality = 0.008746, percentage horn = 0.928000
% 3.73/4.13 This is a problem with some equality
% 3.73/4.13
% 3.73/4.13
% 3.73/4.13
% 3.73/4.13 Options Used:
% 3.73/4.13
% 3.73/4.13 useres = 1
% 3.73/4.13 useparamod = 1
% 3.73/4.13 useeqrefl = 1
% 3.73/4.13 useeqfact = 1
% 3.73/4.13 usefactor = 1
% 3.73/4.13 usesimpsplitting = 0
% 3.73/4.13 usesimpdemod = 5
% 3.73/4.13 usesimpres = 3
% 3.73/4.13
% 3.73/4.13 resimpinuse = 1000
% 3.73/4.13 resimpclauses = 20000
% 3.73/4.13 substype = eqrewr
% 3.73/4.13 backwardsubs = 1
% 3.73/4.13 selectoldest = 5
% 3.73/4.13
% 3.73/4.13 litorderings [0] = split
% 3.73/4.13 litorderings [1] = extend the termordering, first sorting on arguments
% 3.73/4.13
% 3.73/4.13 termordering = kbo
% 3.73/4.13
% 3.73/4.13 litapriori = 0
% 3.73/4.13 termapriori = 1
% 3.73/4.13 litaposteriori = 0
% 3.73/4.13 termaposteriori = 0
% 3.73/4.13 demodaposteriori = 0
% 3.73/4.13 ordereqreflfact = 0
% 3.73/4.13
% 3.73/4.13 litselect = negord
% 3.73/4.13
% 3.73/4.13 maxweight = 15
% 3.73/4.13 maxdepth = 30000
% 3.73/4.13 maxlength = 115
% 3.73/4.13 maxnrvars = 195
% 3.73/4.13 excuselevel = 1
% 3.73/4.13 increasemaxweight = 1
% 3.73/4.13
% 3.73/4.13 maxselected = 10000000
% 3.73/4.13 maxnrclauses = 10000000
% 3.73/4.13
% 3.73/4.13 showgenerated = 0
% 3.73/4.13 showkept = 0
% 3.73/4.13 showselected = 0
% 3.73/4.13 showdeleted = 0
% 3.73/4.13 showresimp = 1
% 3.73/4.13 showstatus = 2000
% 3.73/4.13
% 3.73/4.13 prologoutput = 0
% 3.73/4.13 nrgoals = 5000000
% 3.73/4.13 totalproof = 1
% 3.73/4.13
% 3.73/4.13 Symbols occurring in the translation:
% 3.73/4.13
% 3.73/4.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.73/4.13 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 3.73/4.13 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 3.73/4.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.73/4.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.73/4.13 coll [38, 3] (w:1, o:67, a:1, s:1, b:0),
% 3.73/4.13 para [40, 4] (w:1, o:75, a:1, s:1, b:0),
% 3.73/4.13 perp [43, 4] (w:1, o:76, a:1, s:1, b:0),
% 3.73/4.13 midp [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 3.73/4.13 cong [47, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.73/4.13 circle [48, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.73/4.13 cyclic [49, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.73/4.13 eqangle [54, 8] (w:1, o:94, a:1, s:1, b:0),
% 3.73/4.13 eqratio [57, 8] (w:1, o:95, a:1, s:1, b:0),
% 3.73/4.13 simtri [59, 6] (w:1, o:91, a:1, s:1, b:0),
% 3.73/4.13 contri [60, 6] (w:1, o:92, a:1, s:1, b:0),
% 3.73/4.13 alpha1 [66, 3] (w:1, o:69, a:1, s:1, b:1),
% 3.73/4.13 alpha2 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 3.73/4.13 skol1 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 3.73/4.13 skol2 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 3.73/4.13 skol3 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.73/4.13 skol4 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.73/4.13 skol5 [72, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.73/4.13 skol6 [73, 6] (w:1, o:93, a:1, s:1, b:1),
% 3.73/4.13 skol7 [74, 2] (w:1, o:63, a:1, s:1, b:1),
% 3.73/4.13 skol8 [75, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.73/4.13 skol9 [76, 4] (w:1, o:89, a:1, s:1, b:1),
% 3.73/4.13 skol10 [77, 3] (w:1, o:70, a:1, s:1, b:1),
% 3.73/4.13 skol11 [78, 3] (w:1, o:71, a:1, s:1, b:1),
% 3.73/4.13 skol12 [79, 2] (w:1, o:64, a:1, s:1, b:1),
% 3.73/4.13 skol13 [80, 5] (w:1, o:90, a:1, s:1, b:1),
% 3.73/4.13 skol14 [81, 3] (w:1, o:72, a:1, s:1, b:1),
% 3.73/4.13 skol15 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 3.73/4.13 skol16 [83, 3] (w:1, o:74, a:1, s:1, b:1),
% 3.73/4.13 skol17 [84, 2] (w:1, o:65, a:1, s:1, b:1),
% 3.73/4.13 skol18 [85, 2] (w:1, o:66, a:1, s:1, b:1),
% 3.73/4.13 skol19 [86, 4] (w:1, o:82, a:1, s:1, b:1),
% 3.73/4.13 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 3.73/4.13 skol21 [88, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.73/4.13 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 3.73/4.13 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 3.73/4.13 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 3.73/4.13 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 3.73/4.13 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 3.73/4.13 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 3.73/4.13 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1).
% 3.73/4.13
% 3.73/4.13
% 3.73/4.13 Starting Search:
% 3.73/4.13
% 3.73/4.13 *** allocated 15000 integers for clauses
% 3.73/4.13 *** allocated 22500 integers for clauses
% 3.73/4.13 *** allocated 33750 integers for clauses
% 3.73/4.13 *** allocated 50625 integers for clauses
% 3.73/4.13 *** allocated 22500 integers for termspace/termends
% 3.73/4.13 *** allocated 75937 integers for clauses
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 33750 integers for termspace/termends
% 3.73/4.13 *** allocated 113905 integers for clauses
% 3.73/4.13 *** allocated 50625 integers for termspace/termends
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 9907
% 3.73/4.13 Kept: 2001
% 3.73/4.13 Inuse: 328
% 3.73/4.13 Deleted: 0
% 3.73/4.13 Deletedinuse: 0
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 170857 integers for clauses
% 3.73/4.13 *** allocated 75937 integers for termspace/termends
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 256285 integers for clauses
% 3.73/4.13 *** allocated 113905 integers for termspace/termends
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 21494
% 3.73/4.13 Kept: 4002
% 3.73/4.13 Inuse: 461
% 3.73/4.13 Deleted: 0
% 3.73/4.13 Deletedinuse: 0
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 384427 integers for clauses
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 170857 integers for termspace/termends
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 35599
% 3.73/4.13 Kept: 6006
% 3.73/4.13 Inuse: 532
% 3.73/4.13 Deleted: 0
% 3.73/4.13 Deletedinuse: 0
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 576640 integers for clauses
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 50859
% 3.73/4.13 Kept: 8008
% 3.73/4.13 Inuse: 678
% 3.73/4.13 Deleted: 1
% 3.73/4.13 Deletedinuse: 0
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 256285 integers for termspace/termends
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 62084
% 3.73/4.13 Kept: 10009
% 3.73/4.13 Inuse: 864
% 3.73/4.13 Deleted: 863
% 3.73/4.13 Deletedinuse: 585
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 864960 integers for clauses
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 72443
% 3.73/4.13 Kept: 12017
% 3.73/4.13 Inuse: 1020
% 3.73/4.13 Deleted: 911
% 3.73/4.13 Deletedinuse: 611
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 83758
% 3.73/4.13 Kept: 14025
% 3.73/4.13 Inuse: 1222
% 3.73/4.13 Deleted: 911
% 3.73/4.13 Deletedinuse: 611
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 384427 integers for termspace/termends
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 95916
% 3.73/4.13 Kept: 16042
% 3.73/4.13 Inuse: 1403
% 3.73/4.13 Deleted: 948
% 3.73/4.13 Deletedinuse: 611
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 *** allocated 1297440 integers for clauses
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 115694
% 3.73/4.13 Kept: 18042
% 3.73/4.13 Inuse: 1767
% 3.73/4.13 Deleted: 999
% 3.73/4.13 Deletedinuse: 611
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 Resimplifying clauses:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13
% 3.73/4.13 Intermediate Status:
% 3.73/4.13 Generated: 127536
% 3.73/4.13 Kept: 20169
% 3.73/4.13 Inuse: 1918
% 3.73/4.13 Deleted: 7303
% 3.73/4.13 Deletedinuse: 614
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13 Resimplifying inuse:
% 3.73/4.13 Done
% 3.73/4.13
% 3.73/4.13
% 3.73/4.13 Bliksems!, er is een bewijs:
% 3.73/4.13 % SZS status Theorem
% 3.73/4.13 % SZS output start Refutation
% 3.73/4.13
% 3.73/4.13 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.73/4.13 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.73/4.13 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 3.73/4.13 , Z, X ) }.
% 3.73/4.13 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 3.73/4.13 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 3.73/4.13 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 3.73/4.13 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 3.73/4.13 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 3.73/4.13 para( X, Y, Z, T ) }.
% 3.73/4.13 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 3.73/4.13 perp( X, Y, Z, T ) }.
% 3.73/4.13 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.73/4.13 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 3.73/4.13 circle( T, X, Y, Z ) }.
% 3.73/4.13 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 3.73/4.13 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.13 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 3.73/4.13 }.
% 3.73/4.13 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 3.73/4.13 }.
% 3.73/4.13 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 3.73/4.13 }.
% 3.73/4.13 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 3.73/4.13 ), cyclic( X, Y, Z, T ) }.
% 3.73/4.13 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.13 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.13 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.13 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.73/4.13 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.13 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.13 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.13 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.73/4.13 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 3.73/4.13 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 3.73/4.13 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 3.73/4.13 cong( X, Y, Z, T ) }.
% 3.73/4.13 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 3.73/4.13 , T, U, W ) }.
% 3.73/4.13 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 3.73/4.13 T, X, T, Y ) }.
% 3.73/4.13 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 3.73/4.13 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.73/4.13 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 3.73/4.13 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.73/4.13 , Y, Z, T ) }.
% 3.73/4.13 (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X
% 3.73/4.13 , Y, Z, Y ) }.
% 3.73/4.13 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 3.73/4.13 perp( X, Y, Z, T ) }.
% 3.73/4.13 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 3.73/4.13 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.73/4.13 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 3.73/4.13 , Z, Y, T ) }.
% 3.73/4.13 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.73/4.13 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.73/4.13 (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X
% 3.73/4.13 , Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.13 (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp
% 3.73/4.13 ( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.73/4.13 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 3.73/4.13 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.73/4.13 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 3.73/4.13 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.73/4.13 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 3.73/4.13 , X, X, Y ) }.
% 3.73/4.13 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.73/4.13 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.13 (116) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 ) }.
% 3.73/4.13 (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol26 ) }.
% 3.73/4.13 (124) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20, skol22 ) }.
% 3.73/4.13 (127) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 3.73/4.13 ) }.
% 3.73/4.13 (130) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 3.73/4.13 ), cyclic( Y, Z, T, T ) }.
% 3.73/4.13 (131) {G2,W10,D2,L2,V3,M2} F(130) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 3.73/4.13 Z ) }.
% 3.73/4.13 (132) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 3.73/4.13 , T ) }.
% 3.73/4.13 (135) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), ! cyclic( X, Y,
% 3.73/4.13 Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 3.73/4.13 (138) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 3.73/4.13 , Y ), perp( Y, X, X, Y ) }.
% 3.73/4.13 (140) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 3.73/4.13 (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 3.73/4.13 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.73/4.13 (153) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp( X, skol10( X
% 3.73/4.13 , X, Z ), Z, X ) }.
% 3.73/4.13 (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 3.73/4.13 (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 3.73/4.13 (172) {G1,W4,D2,L1,V0,M1} R(1,118) { coll( skol25, skol22, skol26 ) }.
% 3.73/4.13 (201) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 3.73/4.13 coll( Z, X, T ) }.
% 3.73/4.13 (210) {G2,W8,D2,L2,V3,M2} F(201) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 3.73/4.13 (256) {G3,W4,D2,L1,V0,M1} R(210,172) { coll( skol26, skol25, skol26 ) }.
% 3.73/4.13 (265) {G3,W12,D2,L3,V4,M3} R(210,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 3.73/4.13 coll( X, Z, T ) }.
% 3.73/4.13 (282) {G4,W8,D2,L2,V3,M2} F(265) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 3.73/4.13 (293) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 3.73/4.13 ) }.
% 3.73/4.13 (305) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 3.73/4.13 ), ! perp( X, Y, U, W ) }.
% 3.73/4.13 (306) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 3.73/4.13 ), ! perp( U, W, Z, T ) }.
% 3.73/4.13 (307) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 3.73/4.13 ), ! perp( U, W, Y, X ) }.
% 3.73/4.13 (318) {G2,W10,D2,L2,V4,M2} F(306) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 3.73/4.13 ) }.
% 3.73/4.13 (335) {G1,W10,D2,L2,V2,M2} R(9,124) { ! para( skol23, skol24, X, Y ), !
% 3.73/4.13 perp( X, Y, skol20, skol22 ) }.
% 3.73/4.13 (337) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp( U, W, Z, T
% 3.73/4.13 ), ! para( U, W, Y, X ) }.
% 3.73/4.13 (340) {G4,W4,D2,L1,V0,M1} R(256,0) { coll( skol26, skol26, skol25 ) }.
% 3.73/4.13 (348) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol27, skol25, skol26 ) }.
% 3.73/4.13 (376) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 3.73/4.13 , T, Y ) }.
% 3.73/4.13 (385) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.73/4.13 , X, T ) }.
% 3.73/4.13 (408) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.73/4.13 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.73/4.13 (441) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.13 ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 3.73/4.13 (442) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.13 ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.73/4.13 (443) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 3.73/4.13 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.73/4.13 (453) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.13 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.73/4.13 (518) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( X, Y, U,
% 3.73/4.13 W ), ! cong( U, W, Z, T ) }.
% 3.73/4.13 (529) {G2,W10,D2,L2,V4,M2} F(518) { ! cong( X, Y, Z, T ), cong( X, Y, X, Y
% 3.73/4.13 ) }.
% 3.73/4.13 (641) {G5,W8,D2,L2,V3,M2} R(282,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 3.73/4.13 (646) {G6,W8,D2,L2,V3,M2} R(641,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 3.73/4.13 (647) {G6,W8,D2,L2,V3,M2} R(641,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 3.73/4.13 (667) {G7,W8,D2,L2,V3,M2} R(647,647) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 3.73/4.13 }.
% 3.73/4.13 (670) {G8,W12,D2,L3,V4,M3} R(667,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 3.73/4.13 , coll( T, Y, X ) }.
% 3.73/4.13 (671) {G9,W8,D2,L2,V3,M2} F(670) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 3.73/4.13 (675) {G10,W8,D2,L2,V3,M2} R(671,646) { coll( X, X, Y ), ! coll( Z, X, Y )
% 3.73/4.13 }.
% 3.73/4.13 (716) {G2,W8,D2,L2,V3,M2} R(69,170) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 3.73/4.13 }.
% 3.73/4.13 (723) {G11,W8,D2,L2,V3,M2} R(69,675) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 3.73/4.13 }.
% 3.73/4.13 (742) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 3.73/4.13 (743) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol27, skol26, skol25 ) }.
% 3.73/4.13 (824) {G2,W8,D2,L2,V1,M2} R(743,2) { ! coll( skol27, skol26, X ), coll(
% 3.73/4.13 skol25, X, skol27 ) }.
% 3.73/4.13 (841) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 3.73/4.13 ), ! para( X, Z, X, Z ) }.
% 3.73/4.13 (978) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.73/4.14 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 3.73/4.14 (1010) {G2,W15,D2,L3,V3,M3} F(978) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 3.73/4.14 , Z, Y ), cong( X, Y, X, Y ) }.
% 3.73/4.14 (1233) {G3,W8,D2,L2,V1,M2} R(824,171) { coll( skol25, X, skol27 ), ! coll(
% 3.73/4.14 X, skol27, skol26 ) }.
% 3.73/4.14 (2112) {G4,W8,D2,L2,V1,M2} R(1233,171) { ! coll( X, skol27, skol26 ), coll
% 3.73/4.14 ( X, skol27, skol25 ) }.
% 3.73/4.14 (2442) {G5,W12,D2,L3,V2,M3} R(2112,2) { ! coll( X, skol27, skol26 ), ! coll
% 3.73/4.14 ( X, skol27, Y ), coll( skol25, Y, X ) }.
% 3.73/4.14 (2447) {G6,W8,D2,L2,V1,M2} F(2442) { ! coll( X, skol27, skol26 ), coll(
% 3.73/4.14 skol25, skol26, X ) }.
% 3.73/4.14 (2502) {G2,W5,D2,L1,V0,M1} R(68,348) { cong( skol27, skol25, skol27, skol26
% 3.73/4.14 ) }.
% 3.73/4.14 (2503) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol27, skol26, skol27, skol25
% 3.73/4.14 ) }.
% 3.73/4.14 (2512) {G3,W5,D2,L1,V0,M1} R(2502,22) { cong( skol27, skol25, skol26,
% 3.73/4.14 skol27 ) }.
% 3.73/4.14 (3151) {G7,W8,D2,L2,V1,M2} R(2447,742) { coll( skol25, skol26, X ), ! midp
% 3.73/4.14 ( skol27, X, skol26 ) }.
% 3.73/4.14 (3154) {G7,W8,D2,L2,V1,M2} R(2447,716) { coll( skol25, skol26, X ), ! midp
% 3.73/4.14 ( skol27, skol26, X ) }.
% 3.73/4.14 (3233) {G8,W8,D2,L2,V1,M2} R(3151,0) { ! midp( skol27, X, skol26 ), coll(
% 3.73/4.14 skol25, X, skol26 ) }.
% 3.73/4.14 (7262) {G3,W5,D2,L1,V0,M1} R(127,2502) { circle( skol27, skol25, skol26,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 (7358) {G4,W7,D3,L1,V0,M1} R(7262,100) { perp( skol12( skol25, skol27 ),
% 3.73/4.14 skol25, skol25, skol27 ) }.
% 3.73/4.14 (7418) {G3,W5,D2,L1,V0,M1} R(131,2503) { cyclic( skol26, skol25, skol25,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 (7451) {G4,W5,D2,L1,V0,M1} R(132,7418) { cyclic( skol25, skol25, skol25,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 (8090) {G8,W14,D3,L3,V2,M3} R(147,3154);r(340) { ! midp( X, skol26, skol25
% 3.73/4.14 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27, skol26, skol25
% 3.73/4.14 ) }.
% 3.73/4.14 (8101) {G9,W14,D3,L3,V2,M3} R(147,3233);r(256) { ! midp( X, skol25, skol26
% 3.73/4.14 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27, skol25, skol26
% 3.73/4.14 ) }.
% 3.73/4.14 (8195) {G10,W6,D3,L1,V1,M1} F(8101);r(348) { midp( skol7( skol25, X ),
% 3.73/4.14 skol25, X ) }.
% 3.73/4.14 (8196) {G9,W6,D3,L1,V1,M1} F(8090);r(116) { midp( skol7( skol26, X ),
% 3.73/4.14 skol26, X ) }.
% 3.73/4.14 (8242) {G12,W4,D2,L1,V1,M1} R(8196,723) { coll( skol26, skol26, X ) }.
% 3.73/4.14 (8303) {G13,W4,D2,L1,V2,M1} R(8242,2);r(8242) { coll( Y, X, skol26 ) }.
% 3.73/4.14 (8328) {G14,W4,D2,L1,V2,M1} R(8303,171) { coll( X, skol26, Y ) }.
% 3.73/4.14 (8342) {G15,W4,D2,L1,V3,M1} R(8328,2);r(8328) { coll( Z, Y, X ) }.
% 3.73/4.14 (8395) {G11,W5,D2,L1,V1,M1} R(8195,140) { para( skol25, skol25, X, X ) }.
% 3.73/4.14 (8415) {G12,W5,D2,L1,V1,M1} R(8395,4) { para( X, X, skol25, skol25 ) }.
% 3.73/4.14 (8419) {G13,W9,D2,L1,V3,M1} R(8415,39) { eqangle( X, X, Y, Z, skol25,
% 3.73/4.14 skol25, Y, Z ) }.
% 3.73/4.14 (8446) {G5,W7,D3,L1,V0,M1} R(7358,7) { perp( skol25, skol27, skol12( skol25
% 3.73/4.14 , skol27 ), skol25 ) }.
% 3.73/4.14 (8455) {G6,W7,D3,L1,V0,M1} R(8446,6) { perp( skol25, skol27, skol25, skol12
% 3.73/4.14 ( skol25, skol27 ) ) }.
% 3.73/4.14 (8463) {G7,W7,D3,L1,V0,M1} R(8455,7) { perp( skol25, skol12( skol25, skol27
% 3.73/4.14 ), skol25, skol27 ) }.
% 3.73/4.14 (8472) {G8,W7,D3,L1,V0,M1} R(8463,6) { perp( skol25, skol12( skol25, skol27
% 3.73/4.14 ), skol27, skol25 ) }.
% 3.73/4.14 (8481) {G9,W7,D3,L1,V0,M1} R(8472,7) { perp( skol27, skol25, skol25, skol12
% 3.73/4.14 ( skol25, skol27 ) ) }.
% 3.73/4.14 (8483) {G16,W8,D3,L1,V2,M1} R(8481,110);r(8342) { perp( skol16( skol27, X,
% 3.73/4.14 Y ), skol27, X, Y ) }.
% 3.73/4.14 (8682) {G17,W8,D3,L1,V2,M1} R(8483,7) { perp( X, Y, skol16( skol27, X, Y )
% 3.73/4.14 , skol27 ) }.
% 3.73/4.14 (8692) {G18,W8,D3,L1,V2,M1} R(8682,6) { perp( X, Y, skol27, skol16( skol27
% 3.73/4.14 , X, Y ) ) }.
% 3.73/4.14 (8701) {G19,W8,D3,L1,V3,M1} R(8692,110);r(8342) { perp( skol16( X, Y, Z ),
% 3.73/4.14 X, Y, Z ) }.
% 3.73/4.14 (8720) {G20,W8,D3,L1,V3,M1} R(8701,7) { perp( X, Y, skol16( Z, X, Y ), Z )
% 3.73/4.14 }.
% 3.73/4.14 (8740) {G21,W8,D3,L1,V3,M1} R(8720,6) { perp( X, Y, Z, skol16( Z, X, Y ) )
% 3.73/4.14 }.
% 3.73/4.14 (8751) {G22,W8,D3,L1,V3,M1} R(8740,7) { perp( X, skol16( X, Y, Z ), Y, Z )
% 3.73/4.14 }.
% 3.73/4.14 (8765) {G23,W8,D3,L1,V2,M1} R(8751,153) { perp( X, skol10( X, X, Y ), Y, X
% 3.73/4.14 ) }.
% 3.73/4.14 (8865) {G24,W8,D3,L1,V2,M1} R(8765,7) { perp( X, Y, Y, skol10( Y, Y, X ) )
% 3.73/4.14 }.
% 3.73/4.14 (9737) {G25,W5,D2,L1,V2,M1} R(318,8865) { para( X, Y, X, Y ) }.
% 3.73/4.14 (14459) {G4,W5,D2,L1,V0,M1} R(529,2512) { cong( skol27, skol25, skol27,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 (14722) {G5,W9,D2,L1,V0,M1} R(14459,46) { eqangle( skol27, skol25, skol25,
% 3.73/4.14 skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.14 (15550) {G14,W5,D2,L1,V0,M1} R(8419,135);f;r(7451) { cong( skol25, skol25,
% 3.73/4.14 skol25, skol25 ) }.
% 3.73/4.14 (15570) {G15,W5,D2,L1,V0,M1} R(15550,138);r(7451) { perp( skol25, skol25,
% 3.73/4.14 skol25, skol25 ) }.
% 3.73/4.14 (15580) {G16,W10,D2,L2,V2,M2} R(15570,337) { perp( X, Y, skol25, skol25 ),
% 3.73/4.14 ! para( X, Y, skol25, skol25 ) }.
% 3.73/4.14 (15597) {G16,W10,D2,L2,V2,M2} R(15570,307) { ! perp( skol25, skol25, X, Y )
% 3.73/4.14 , para( skol25, skol25, X, Y ) }.
% 3.73/4.14 (17821) {G6,W9,D2,L1,V0,M1} R(14722,453) { eqangle( skol25, skol27, skol25
% 3.73/4.14 , skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.14 (17825) {G17,W5,D2,L1,V0,M1} R(14722,71);r(15580) { perp( skol27, skol25,
% 3.73/4.14 skol25, skol25 ) }.
% 3.73/4.14 (17854) {G18,W5,D2,L1,V0,M1} R(17825,293) { perp( skol25, skol25, skol27,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 (18044) {G7,W9,D2,L1,V0,M1} R(17821,441) { eqangle( skol27, skol25, skol25
% 3.73/4.14 , skol25, skol25, skol25, skol25, skol27 ) }.
% 3.73/4.14 (18046) {G8,W9,D2,L1,V0,M1} R(18044,442) { eqangle( skol25, skol25, skol25
% 3.73/4.14 , skol27, skol25, skol27, skol25, skol25 ) }.
% 3.73/4.14 (18047) {G17,W5,D2,L1,V0,M1} R(18046,71);r(15597) { para( skol25, skol25,
% 3.73/4.14 skol25, skol27 ) }.
% 3.73/4.14 (18081) {G18,W5,D2,L1,V0,M1} R(18047,3) { para( skol25, skol25, skol27,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 (18135) {G19,W9,D2,L1,V2,M1} R(18081,39) { eqangle( skol25, skol25, X, Y,
% 3.73/4.14 skol27, skol25, X, Y ) }.
% 3.73/4.14 (19579) {G20,W9,D2,L1,V2,M1} R(18135,453) { eqangle( skol25, skol25, skol27
% 3.73/4.14 , skol25, X, Y, X, Y ) }.
% 3.73/4.14 (19586) {G21,W9,D2,L1,V2,M1} R(19579,443) { eqangle( X, Y, Y, X, skol25,
% 3.73/4.14 skol25, skol27, skol25 ) }.
% 3.73/4.14 (19599) {G22,W5,D2,L1,V2,M1} R(19586,73);r(17854) { perp( X, Y, Y, X ) }.
% 3.73/4.14 (19627) {G23,W5,D2,L1,V0,M1} R(19599,335) { ! para( skol23, skol24, skol22
% 3.73/4.14 , skol20 ) }.
% 3.73/4.14 (20161) {G26,W5,D2,L1,V3,M1} S(841);r(8342);r(9737) { cyclic( Z, Y, X, X )
% 3.73/4.14 }.
% 3.73/4.14 (20180) {G27,W5,D2,L1,V3,M1} R(20161,385) { cyclic( X, Y, Z, Y ) }.
% 3.73/4.14 (20182) {G27,W5,D2,L1,V3,M1} R(20161,376) { cyclic( X, Y, Y, Z ) }.
% 3.73/4.14 (20186) {G28,W5,D2,L1,V3,M1} R(20180,408);r(20182) { cyclic( Y, Y, Z, T )
% 3.73/4.14 }.
% 3.73/4.14 (20194) {G29,W5,D2,L1,V4,M1} R(20186,408);r(20186) { cyclic( X, Y, Z, T )
% 3.73/4.14 }.
% 3.73/4.14 (21962) {G30,W5,D2,L1,V2,M1} S(1010);r(20194);r(20194) { cong( X, Y, X, Y )
% 3.73/4.14 }.
% 3.73/4.14 (21972) {G31,W5,D2,L1,V3,M1} R(21962,56);r(21962) { perp( X, X, Z, Y ) }.
% 3.73/4.14 (22009) {G32,W5,D2,L1,V4,M1} R(21972,305);r(21972) { para( X, Y, Z, T ) }.
% 3.73/4.14 (22019) {G33,W0,D0,L0,V0,M0} R(22009,19627) { }.
% 3.73/4.14
% 3.73/4.14
% 3.73/4.14 % SZS output end Refutation
% 3.73/4.14 found a proof!
% 3.73/4.14
% 3.73/4.14
% 3.73/4.14 Unprocessed initial clauses:
% 3.73/4.14
% 3.73/4.14 (22021) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.73/4.14 (22022) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.73/4.14 (22023) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 3.73/4.14 ( Y, Z, X ) }.
% 3.73/4.14 (22024) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 3.73/4.14 }.
% 3.73/4.14 (22025) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 3.73/4.14 }.
% 3.73/4.14 (22026) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 3.73/4.14 , para( X, Y, Z, T ) }.
% 3.73/4.14 (22027) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 3.73/4.14 }.
% 3.73/4.14 (22028) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 3.73/4.14 }.
% 3.73/4.14 (22029) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.73/4.14 , para( X, Y, Z, T ) }.
% 3.73/4.14 (22030) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.73/4.14 , perp( X, Y, Z, T ) }.
% 3.73/4.14 (22031) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.73/4.14 (22032) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 3.73/4.14 , circle( T, X, Y, Z ) }.
% 3.73/4.14 (22033) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 3.73/4.14 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 (22034) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 3.73/4.14 ) }.
% 3.73/4.14 (22035) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 3.73/4.14 ) }.
% 3.73/4.14 (22036) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 3.73/4.14 ) }.
% 3.73/4.14 (22037) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 3.73/4.14 T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 (22038) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.14 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 (22039) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.14 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.73/4.14 (22040) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.14 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 (22041) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.14 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.73/4.14 (22042) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.73/4.14 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ) }.
% 3.73/4.14 (22043) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 3.73/4.14 }.
% 3.73/4.14 (22044) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 3.73/4.14 }.
% 3.73/4.14 (22045) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 3.73/4.14 , cong( X, Y, Z, T ) }.
% 3.73/4.14 (22046) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.14 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 (22047) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.14 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 3.73/4.14 (22048) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.14 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 (22049) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.73/4.14 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.73/4.14 (22050) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.73/4.14 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ) }.
% 3.73/4.14 (22051) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 3.73/4.14 , Z, T, U, W ) }.
% 3.73/4.14 (22052) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 3.73/4.14 , Z, T, U, W ) }.
% 3.73/4.14 (22053) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 3.73/4.14 , Z, T, U, W ) }.
% 3.73/4.14 (22054) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 3.73/4.14 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 3.73/4.14 (22055) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 3.73/4.14 , Z, T, U, W ) }.
% 3.73/4.14 (22056) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 3.73/4.14 , Z, T, U, W ) }.
% 3.73/4.14 (22057) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 3.73/4.14 , Z, T, U, W ) }.
% 3.73/4.14 (22058) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 3.73/4.14 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 3.73/4.14 (22059) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 3.73/4.14 X, Y, Z, T ) }.
% 3.73/4.14 (22060) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 3.73/4.14 Z, T, U, W ) }.
% 3.73/4.14 (22061) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 3.73/4.14 , T, X, T, Y ) }.
% 3.73/4.14 (22062) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 3.73/4.14 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 (22063) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 3.73/4.14 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 (22064) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 3.73/4.14 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.73/4.14 , Y, Z, T ) }.
% 3.73/4.14 (22065) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 3.73/4.14 ( Z, T, X, Y ) }.
% 3.73/4.14 (22066) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 3.73/4.14 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 3.73/4.14 (22067) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 3.73/4.14 X, Y, Z, Y ) }.
% 3.73/4.14 (22068) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 3.73/4.14 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 3.73/4.14 (22069) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 3.73/4.14 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 3.73/4.14 (22070) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 3.73/4.14 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 3.73/4.14 (22071) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 3.73/4.14 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 3.73/4.14 (22072) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 3.73/4.14 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 3.73/4.14 (22073) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 3.73/4.14 cong( X, Z, Y, Z ) }.
% 3.73/4.14 (22074) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 3.73/4.14 perp( X, Y, Y, Z ) }.
% 3.73/4.14 (22075) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.73/4.14 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 3.73/4.14 (22076) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 3.73/4.14 cong( Z, X, Z, Y ) }.
% 3.73/4.14 (22077) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 3.73/4.14 , perp( X, Y, Z, T ) }.
% 3.73/4.14 (22078) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 3.73/4.14 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.73/4.14 (22079) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 3.73/4.14 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 3.73/4.14 , W ) }.
% 3.73/4.14 (22080) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 3.73/4.14 , X, Z, T, U, T, W ) }.
% 3.73/4.14 (22081) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 3.73/4.14 , Y, Z, T, U, U, W ) }.
% 3.73/4.14 (22082) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 3.73/4.14 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 3.73/4.14 (22083) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 3.73/4.14 , T ) }.
% 3.73/4.14 (22084) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 3.73/4.14 ( X, Z, Y, T ) }.
% 3.73/4.14 (22085) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 3.73/4.14 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 3.73/4.14 (22086) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 3.73/4.14 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 3.73/4.14 (22087) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 3.73/4.14 (22088) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 3.73/4.14 midp( X, Y, Z ) }.
% 3.73/4.14 (22089) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.73/4.14 (22090) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.73/4.14 (22091) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 3.73/4.14 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 3.73/4.14 (22092) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 3.73/4.14 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.14 (22093) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 3.73/4.14 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 3.73/4.14 (22094) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.73/4.14 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.73/4.14 (22095) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.73/4.14 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.73/4.14 (22096) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 3.73/4.14 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 3.73/4.14 (22097) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.73/4.14 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 3.73/4.14 (22098) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.73/4.14 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 3.73/4.14 (22099) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.73/4.14 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 3.73/4.14 (22100) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.73/4.14 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 3.73/4.14 (22101) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.73/4.14 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 3.73/4.14 (22102) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.73/4.14 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 3.73/4.14 (22103) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.73/4.14 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 3.73/4.14 (22104) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.73/4.14 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 3.73/4.14 (22105) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.73/4.14 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 3.73/4.14 (22106) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.73/4.14 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 3.73/4.14 , T ) ) }.
% 3.73/4.14 (22107) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 3.73/4.14 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 3.73/4.14 (22108) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.73/4.14 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 3.73/4.14 (22109) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.73/4.14 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 3.73/4.14 (22110) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 3.73/4.14 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.73/4.14 (22111) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.73/4.14 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 3.73/4.14 ) }.
% 3.73/4.14 (22112) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.73/4.14 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 3.73/4.14 }.
% 3.73/4.14 (22113) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.73/4.14 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 3.73/4.14 (22114) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.73/4.14 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 3.73/4.14 (22115) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.73/4.14 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 3.73/4.14 (22116) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.73/4.14 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 3.73/4.14 (22117) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.73/4.14 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.73/4.14 (22118) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.73/4.14 , alpha1( X, Y, Z ) }.
% 3.73/4.14 (22119) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 3.73/4.14 ), Z, X ) }.
% 3.73/4.14 (22120) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 3.73/4.14 , Z ), Z, X ) }.
% 3.73/4.14 (22121) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 3.73/4.14 alpha1( X, Y, Z ) }.
% 3.73/4.14 (22122) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 3.73/4.14 ), X, X, Y ) }.
% 3.73/4.14 (22123) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.73/4.14 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 3.73/4.14 ) ) }.
% 3.73/4.14 (22124) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.73/4.14 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.73/4.14 (22125) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.73/4.14 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 3.73/4.14 }.
% 3.73/4.14 (22126) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.73/4.14 (22127) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 3.73/4.14 }.
% 3.73/4.14 (22128) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 3.73/4.14 alpha2( X, Y, Z, T ) }.
% 3.73/4.14 (22129) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.73/4.14 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.14 (22130) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 3.73/4.14 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.14 (22131) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.73/4.14 coll( skol16( W, Y, Z ), Y, Z ) }.
% 3.73/4.14 (22132) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.73/4.14 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.14 (22133) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 3.73/4.14 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 3.73/4.14 (22134) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.73/4.14 , coll( X, Y, skol18( X, Y ) ) }.
% 3.73/4.14 (22135) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.73/4.14 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 3.73/4.14 (22136) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.73/4.14 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 3.73/4.14 }.
% 3.73/4.14 (22137) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.73/4.14 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 3.73/4.14 }.
% 3.73/4.14 (22138) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol26, skol25 ) }.
% 3.73/4.14 (22139) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol20, skol20, skol25,
% 3.73/4.14 skol26, skol20, skol20, skol27 ) }.
% 3.73/4.14 (22140) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol26 ) }.
% 3.73/4.14 (22141) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol20, skol27 ) }.
% 3.73/4.14 (22142) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol28, skol20, skol25 ) }.
% 3.73/4.14 (22143) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 ) }.
% 3.73/4.14 (22144) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol28, skol20, skol26 ) }.
% 3.73/4.14 (22145) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol26 ) }.
% 3.73/4.14 (22146) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20, skol22 ) }.
% 3.73/4.14
% 3.73/4.14
% 3.73/4.14 Total Proof:
% 3.73/4.14
% 3.73/4.14 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 parent0: (22021) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 parent0: (22022) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 3.73/4.14 Z ), coll( Y, Z, X ) }.
% 3.73/4.14 parent0: (22023) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.73/4.14 ), coll( Y, Z, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 3.73/4.14 , T, Z ) }.
% 3.73/4.14 parent0: (22024) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 3.73/4.14 T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 3.73/4.14 , X, Y ) }.
% 3.73/4.14 parent0: (22025) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 3.73/4.14 X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 3.73/4.14 , T, Z ) }.
% 3.73/4.14 parent0: (22027) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.73/4.14 T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 3.73/4.14 , X, Y ) }.
% 3.73/4.14 parent0: (22028) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.14 X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 3.73/4.14 W, Z, T ), para( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22029) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 3.73/4.14 , Z, T ), para( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 3.73/4.14 W, Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22030) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 3.73/4.14 , Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 3.73/4.14 ) }.
% 3.73/4.14 parent0: (22031) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 3.73/4.14 , X, T, Z ), circle( T, X, Y, Z ) }.
% 3.73/4.14 parent0: (22032) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 3.73/4.14 , T, Z ), circle( T, X, Y, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 3.73/4.14 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22033) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 3.73/4.14 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 3 ==> 3
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.73/4.14 X, Y, T, Z ) }.
% 3.73/4.14 parent0: (22034) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.73/4.14 , Y, T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.73/4.14 X, Z, Y, T ) }.
% 3.73/4.14 parent0: (22035) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.73/4.14 , Z, Y, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.73/4.14 Y, X, Z, T ) }.
% 3.73/4.14 parent0: (22036) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.73/4.14 , X, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.73/4.14 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22037) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 3.73/4.14 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.73/4.14 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 parent0: (22038) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.73/4.14 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.73/4.14 parent0: (22039) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.73/4.14 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22040) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.73/4.14 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.73/4.14 parent0: (22041) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 3.73/4.14 , T, Z ) }.
% 3.73/4.14 parent0: (22043) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 3.73/4.14 T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 3.73/4.14 , X, Y ) }.
% 3.73/4.14 parent0: (22044) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 3.73/4.14 X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 3.73/4.14 , W, Z, T ), cong( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22045) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 3.73/4.14 , Z, T ), cong( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.73/4.14 , Y, U, W, Z, T, U, W ) }.
% 3.73/4.14 parent0: (22060) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 3.73/4.14 Y, U, W, Z, T, U, W ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 3.73/4.14 ( Z, X, Z, Y, T, X, T, Y ) }.
% 3.73/4.14 parent0: (22061) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 3.73/4.14 , X, Z, Y, T, X, T, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 3.73/4.14 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22063) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.73/4.14 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 3.73/4.14 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 3.73/4.14 ), cong( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22064) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 3.73/4.14 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 3.73/4.14 , cong( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 3 ==> 3
% 3.73/4.14 4 ==> 4
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 3.73/4.14 , X, X, Y, X, Y, Z, Y ) }.
% 3.73/4.14 parent0: (22067) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z,
% 3.73/4.14 X, X, Y, X, Y, Z, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 3.73/4.14 , T, Y, T ), perp( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22077) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 3.73/4.14 , Y, T ), perp( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 3.73/4.14 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.73/4.14 parent0: (22078) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 3.73/4.14 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 3 ==> 3
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 3.73/4.14 , T ), para( X, Z, Y, T ) }.
% 3.73/4.14 parent0: (22084) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 3.73/4.14 ), para( X, Z, Y, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 3.73/4.14 , Z ) }.
% 3.73/4.14 parent0: (22089) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 3.73/4.14 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 3.73/4.14 ) }.
% 3.73/4.14 parent0: (22090) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X,
% 3.73/4.14 Y ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22092) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 3.73/4.14 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.73/4.14 , V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22095) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 3.73/4.14 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.73/4.14 ) }.
% 3.73/4.14 parent0: (22110) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 3.73/4.14 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 3 ==> 3
% 3.73/4.14 4 ==> 4
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 3.73/4.14 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.73/4.14 parent0: (22117) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 3.73/4.14 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 3.73/4.14 skol12( X, Y ), X, X, Y ) }.
% 3.73/4.14 parent0: (22122) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 3.73/4.14 skol12( X, Y ), X, X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.73/4.14 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.14 parent0: (22132) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 3.73/4.14 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 )
% 3.73/4.14 }.
% 3.73/4.14 parent0: (22138) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol26, skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol26 )
% 3.73/4.14 }.
% 3.73/4.14 parent0: (22140) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (124) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20,
% 3.73/4.14 skol22 ) }.
% 3.73/4.14 parent0: (22146) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20,
% 3.73/4.14 skol22 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22824) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 3.73/4.14 , Z, Z ) }.
% 3.73/4.14 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 3.73/4.14 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := Z
% 3.73/4.14 T := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (127) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 3.73/4.14 circle( X, Y, Z, Z ) }.
% 3.73/4.14 parent0: (22824) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 3.73/4.14 , Z, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22827) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 3.73/4.14 , X, T ), cyclic( Y, Z, T, T ) }.
% 3.73/4.14 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 3.73/4.14 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := T
% 3.73/4.14 T := T
% 3.73/4.14 U := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (130) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 3.73/4.14 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 3.73/4.14 parent0: (22827) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 3.73/4.14 , X, T ), cyclic( Y, Z, T, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22829) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 3.73/4.14 , Z, Z ) }.
% 3.73/4.14 parent0[0, 1]: (130) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 3.73/4.14 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (131) {G2,W10,D2,L2,V3,M2} F(130) { ! cong( X, Y, X, Z ),
% 3.73/4.14 cyclic( Y, Z, Z, Z ) }.
% 3.73/4.14 parent0: (22829) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 3.73/4.14 , Z, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22830) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 3.73/4.14 Z, T, T ) }.
% 3.73/4.14 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 3.73/4.14 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := T
% 3.73/4.14 T := T
% 3.73/4.14 U := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (132) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 3.73/4.14 cyclic( Y, Z, T, T ) }.
% 3.73/4.14 parent0: (22830) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.73/4.14 , Z, T, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22833) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic( X
% 3.73/4.14 , Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 3.73/4.14 parent0[1, 2]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), !
% 3.73/4.14 cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z
% 3.73/4.14 , W, T ), cong( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := T
% 3.73/4.14 T := U
% 3.73/4.14 U := Z
% 3.73/4.14 W := U
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (135) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 3.73/4.14 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 3.73/4.14 , U ) }.
% 3.73/4.14 parent0: (22833) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic(
% 3.73/4.14 X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 3 ==> 3
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22835) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 3.73/4.14 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 3.73/4.14 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 3.73/4.14 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Y
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (138) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 3.73/4.14 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 3.73/4.14 parent0: (22835) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 3.73/4.14 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22836) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 3.73/4.14 Z, T ), para( X, Z, Y, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := Y
% 3.73/4.14 T := Z
% 3.73/4.14 U := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (140) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 3.73/4.14 Y, Z, Z ) }.
% 3.73/4.14 parent0: (22836) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 3.73/4.14 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22837) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.73/4.14 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.73/4.14 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 3.73/4.14 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.73/4.14 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 U := Z
% 3.73/4.14 W := X
% 3.73/4.14 V0 := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 3.73/4.14 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.73/4.14 parent0: (22837) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.73/4.14 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 3 ==> 3
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22840) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 3.73/4.14 skol10( X, X, Z ), Z, X ) }.
% 3.73/4.14 parent0[0, 1]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 3.73/4.14 Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 T := Y
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (153) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp
% 3.73/4.14 ( X, skol10( X, X, Z ), Z, X ) }.
% 3.73/4.14 parent0: (22840) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 3.73/4.14 skol10( X, X, Z ), Z, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22841) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := Y
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 3.73/4.14 , Z, X ) }.
% 3.73/4.14 parent0: (22841) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22843) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 3.73/4.14 , Z, X ) }.
% 3.73/4.14 parent0: (22843) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22844) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol26 )
% 3.73/4.14 }.
% 3.73/4.14 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol26 )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol22
% 3.73/4.14 Y := skol25
% 3.73/4.14 Z := skol26
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (172) {G1,W4,D2,L1,V0,M1} R(1,118) { coll( skol25, skol22,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 parent0: (22844) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22848) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 3.73/4.14 X ), ! coll( Z, T, Y ) }.
% 3.73/4.14 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.73/4.14 ), coll( Y, Z, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Z
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Y
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (201) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 3.73/4.14 ( X, Y, T ), coll( Z, X, T ) }.
% 3.73/4.14 parent0: (22848) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 3.73/4.14 , ! coll( Z, T, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Z
% 3.73/4.14 Y := T
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 2
% 3.73/4.14 1 ==> 0
% 3.73/4.14 2 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22850) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 parent0[0, 1]: (201) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 3.73/4.14 coll( X, Y, T ), coll( Z, X, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (210) {G2,W8,D2,L2,V3,M2} F(201) { ! coll( X, Y, Z ), coll( Z
% 3.73/4.14 , X, Z ) }.
% 3.73/4.14 parent0: (22850) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22851) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 )
% 3.73/4.14 }.
% 3.73/4.14 parent0[0]: (210) {G2,W8,D2,L2,V3,M2} F(201) { ! coll( X, Y, Z ), coll( Z,
% 3.73/4.14 X, Z ) }.
% 3.73/4.14 parent1[0]: (172) {G1,W4,D2,L1,V0,M1} R(1,118) { coll( skol25, skol22,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol25
% 3.73/4.14 Y := skol22
% 3.73/4.14 Z := skol26
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (256) {G3,W4,D2,L1,V0,M1} R(210,172) { coll( skol26, skol25,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 parent0: (22851) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22852) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 3.73/4.14 X ), ! coll( Z, T, Y ) }.
% 3.73/4.14 parent0[0]: (210) {G2,W8,D2,L2,V3,M2} F(201) { ! coll( X, Y, Z ), coll( Z,
% 3.73/4.14 X, Z ) }.
% 3.73/4.14 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.73/4.14 ), coll( Y, Z, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Z
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Y
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (265) {G3,W12,D2,L3,V4,M3} R(210,2) { coll( X, Y, X ), ! coll
% 3.73/4.14 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.73/4.14 parent0: (22852) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 3.73/4.14 , ! coll( Z, T, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := X
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22854) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 parent0[1, 2]: (265) {G3,W12,D2,L3,V4,M3} R(210,2) { coll( X, Y, X ), !
% 3.73/4.14 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := Y
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (282) {G4,W8,D2,L2,V3,M2} F(265) { coll( X, Y, X ), ! coll( X
% 3.73/4.14 , Z, Y ) }.
% 3.73/4.14 parent0: (22854) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22855) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 3.73/4.14 Y, T, Z ) }.
% 3.73/4.14 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.14 X, Y ) }.
% 3.73/4.14 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.73/4.14 T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := T
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (293) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 3.73/4.14 ( Z, T, Y, X ) }.
% 3.73/4.14 parent0: (22855) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 3.73/4.14 T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Z
% 3.73/4.14 Y := T
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22856) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 3.73/4.14 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 3.73/4.14 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.73/4.14 , Z, T ), para( X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.14 X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := U
% 3.73/4.14 T := W
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Z
% 3.73/4.14 Y := T
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (305) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.73/4.14 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 3.73/4.14 parent0: (22856) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 3.73/4.14 U, W ), ! perp( Z, T, X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := U
% 3.73/4.14 Y := W
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22861) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 3.73/4.14 Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.73/4.14 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.73/4.14 , Z, T ), para( X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.14 X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := U
% 3.73/4.14 T := W
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := U
% 3.73/4.14 Y := W
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (306) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.73/4.14 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.73/4.14 parent0: (22861) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 3.73/4.14 U, W ), ! perp( U, W, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22864) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 3.73/4.14 Y, U, W ), ! perp( X, Y, T, Z ) }.
% 3.73/4.14 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.73/4.14 , Z, T ), para( X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.73/4.14 T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := U
% 3.73/4.14 T := W
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := T
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (307) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 3.73/4.14 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 3.73/4.14 parent0: (22864) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 3.73/4.14 U, W ), ! perp( X, Y, T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := U
% 3.73/4.14 Y := W
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22868) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 3.73/4.14 , Y ) }.
% 3.73/4.14 parent0[0, 2]: (306) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 3.73/4.14 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := X
% 3.73/4.14 W := Y
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (318) {G2,W10,D2,L2,V4,M2} F(306) { ! perp( X, Y, Z, T ), para
% 3.73/4.14 ( X, Y, X, Y ) }.
% 3.73/4.14 parent0: (22868) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 3.73/4.14 X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22869) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol24, X, Y )
% 3.73/4.14 , ! perp( X, Y, skol20, skol22 ) }.
% 3.73/4.14 parent0[0]: (124) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20,
% 3.73/4.14 skol22 ) }.
% 3.73/4.14 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 3.73/4.14 , Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := skol23
% 3.73/4.14 Y := skol24
% 3.73/4.14 Z := skol20
% 3.73/4.14 T := skol22
% 3.73/4.14 U := X
% 3.73/4.14 W := Y
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (335) {G1,W10,D2,L2,V2,M2} R(9,124) { ! para( skol23, skol24,
% 3.73/4.14 X, Y ), ! perp( X, Y, skol20, skol22 ) }.
% 3.73/4.14 parent0: (22869) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol24, X, Y ), !
% 3.73/4.14 perp( X, Y, skol20, skol22 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22870) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X,
% 3.73/4.14 Y, U, W ), ! para( X, Y, T, Z ) }.
% 3.73/4.14 parent0[0]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 3.73/4.14 , Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 3.73/4.14 T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := U
% 3.73/4.14 T := W
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := T
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (337) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 3.73/4.14 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 3.73/4.14 parent0: (22870) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X, Y,
% 3.73/4.14 U, W ), ! para( X, Y, T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := U
% 3.73/4.14 Y := W
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22871) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 3.73/4.14 }.
% 3.73/4.14 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 parent1[0]: (256) {G3,W4,D2,L1,V0,M1} R(210,172) { coll( skol26, skol25,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol26
% 3.73/4.14 Y := skol25
% 3.73/4.14 Z := skol26
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (340) {G4,W4,D2,L1,V0,M1} R(256,0) { coll( skol26, skol26,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 parent0: (22871) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22872) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol26 )
% 3.73/4.14 }.
% 3.73/4.14 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.73/4.14 }.
% 3.73/4.14 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol25
% 3.73/4.14 Y := skol26
% 3.73/4.14 Z := skol27
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (348) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol27, skol25,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 parent0: (22872) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22874) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 3.73/4.14 ( X, Z, Y, T ) }.
% 3.73/4.14 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.73/4.14 , Y, T, Z ) }.
% 3.73/4.14 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.73/4.14 , Z, Y, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := Y
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (376) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.73/4.14 cyclic( X, Z, T, Y ) }.
% 3.73/4.14 parent0: (22874) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 3.73/4.14 , Z, Y, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := Y
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22876) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 3.73/4.14 ( Y, X, Z, T ) }.
% 3.73/4.14 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.73/4.14 , Z, Y, T ) }.
% 3.73/4.14 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.73/4.14 , X, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (385) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.73/4.14 cyclic( Y, Z, X, T ) }.
% 3.73/4.14 parent0: (22876) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 3.73/4.14 , X, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22878) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 3.73/4.14 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.73/4.14 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.73/4.14 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.73/4.14 , Y, T, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := T
% 3.73/4.14 T := U
% 3.73/4.14 U := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := U
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (408) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.73/4.14 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.73/4.14 parent0: (22878) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.73/4.14 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22880) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 3.73/4.14 , T ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.73/4.14 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Z
% 3.73/4.14 Y := T
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 U := V0
% 3.73/4.14 W := V1
% 3.73/4.14 V0 := U
% 3.73/4.14 V1 := W
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (441) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U,
% 3.73/4.14 W, V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 3.73/4.14 parent0: (22880) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 3.73/4.14 ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := U
% 3.73/4.14 Y := W
% 3.73/4.14 Z := V0
% 3.73/4.14 T := V1
% 3.73/4.14 U := X
% 3.73/4.14 W := Y
% 3.73/4.14 V0 := Z
% 3.73/4.14 V1 := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22881) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 3.73/4.14 , T ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (442) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U,
% 3.73/4.14 W, V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22881) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 3.73/4.14 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := U
% 3.73/4.14 Y := W
% 3.73/4.14 Z := V0
% 3.73/4.14 T := V1
% 3.73/4.14 U := X
% 3.73/4.14 W := Y
% 3.73/4.14 V0 := Z
% 3.73/4.14 V1 := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22883) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 3.73/4.14 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := U
% 3.73/4.14 Y := W
% 3.73/4.14 Z := V0
% 3.73/4.14 T := V1
% 3.73/4.14 U := X
% 3.73/4.14 W := Y
% 3.73/4.14 V0 := Z
% 3.73/4.14 V1 := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (443) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 3.73/4.14 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 parent0: (22883) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 3.73/4.14 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := U
% 3.73/4.14 Y := W
% 3.73/4.14 Z := V0
% 3.73/4.14 T := V1
% 3.73/4.14 U := X
% 3.73/4.14 W := Y
% 3.73/4.14 V0 := Z
% 3.73/4.14 V1 := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22884) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 3.73/4.14 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.73/4.14 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.14 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (453) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 3.73/4.14 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.73/4.14 parent0: (22884) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 3.73/4.14 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := U
% 3.73/4.14 T := W
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 V0 := V0
% 3.73/4.14 V1 := V1
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22886) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X,
% 3.73/4.14 Y, U, W ), ! cong( U, W, Z, T ) }.
% 3.73/4.14 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 3.73/4.14 W, Z, T ), cong( X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 3.73/4.14 , X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := U
% 3.73/4.14 T := W
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := U
% 3.73/4.14 Y := W
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (518) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 3.73/4.14 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 3.73/4.14 parent0: (22886) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X, Y,
% 3.73/4.14 U, W ), ! cong( U, W, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := U
% 3.73/4.14 W := W
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22889) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, X
% 3.73/4.14 , Y ) }.
% 3.73/4.14 parent0[0, 2]: (518) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 3.73/4.14 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 U := X
% 3.73/4.14 W := Y
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (529) {G2,W10,D2,L2,V4,M2} F(518) { ! cong( X, Y, Z, T ), cong
% 3.73/4.14 ( X, Y, X, Y ) }.
% 3.73/4.14 parent0: (22889) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 3.73/4.14 X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22891) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 parent1[0]: (282) {G4,W8,D2,L2,V3,M2} F(265) { coll( X, Y, X ), ! coll( X,
% 3.73/4.14 Z, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (641) {G5,W8,D2,L2,V3,M2} R(282,1) { ! coll( X, Y, Z ), coll(
% 3.73/4.14 Z, X, X ) }.
% 3.73/4.14 parent0: (22891) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := Y
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22892) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[0]: (641) {G5,W8,D2,L2,V3,M2} R(282,1) { ! coll( X, Y, Z ), coll( Z
% 3.73/4.14 , X, X ) }.
% 3.73/4.14 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (646) {G6,W8,D2,L2,V3,M2} R(641,1) { coll( X, Y, Y ), ! coll(
% 3.73/4.14 Z, Y, X ) }.
% 3.73/4.14 parent0: (22892) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22893) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[0]: (641) {G5,W8,D2,L2,V3,M2} R(282,1) { ! coll( X, Y, Z ), coll( Z
% 3.73/4.14 , X, X ) }.
% 3.73/4.14 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := Y
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (647) {G6,W8,D2,L2,V3,M2} R(641,0) { coll( X, Y, Y ), ! coll(
% 3.73/4.14 Y, X, Z ) }.
% 3.73/4.14 parent0: (22893) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22894) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[1]: (647) {G6,W8,D2,L2,V3,M2} R(641,0) { coll( X, Y, Y ), ! coll( Y
% 3.73/4.14 , X, Z ) }.
% 3.73/4.14 parent1[0]: (647) {G6,W8,D2,L2,V3,M2} R(641,0) { coll( X, Y, Y ), ! coll( Y
% 3.73/4.14 , X, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (667) {G7,W8,D2,L2,V3,M2} R(647,647) { ! coll( X, Y, Z ), coll
% 3.73/4.14 ( X, Y, Y ) }.
% 3.73/4.14 parent0: (22894) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22898) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 3.73/4.14 X ), ! coll( X, Y, T ) }.
% 3.73/4.14 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.73/4.14 ), coll( Y, Z, X ) }.
% 3.73/4.14 parent1[1]: (667) {G7,W8,D2,L2,V3,M2} R(647,647) { ! coll( X, Y, Z ), coll
% 3.73/4.14 ( X, Y, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := Y
% 3.73/4.14 T := Y
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (670) {G8,W12,D2,L3,V4,M3} R(667,2) { ! coll( X, Y, Z ), !
% 3.73/4.14 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.73/4.14 parent0: (22898) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.73/4.14 , ! coll( X, Y, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := T
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 2
% 3.73/4.14 2 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22901) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.73/4.14 }.
% 3.73/4.14 parent0[0, 1]: (670) {G8,W12,D2,L3,V4,M3} R(667,2) { ! coll( X, Y, Z ), !
% 3.73/4.14 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (671) {G9,W8,D2,L2,V3,M2} F(670) { ! coll( X, Y, Z ), coll( Z
% 3.73/4.14 , Y, X ) }.
% 3.73/4.14 parent0: (22901) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22902) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[0]: (671) {G9,W8,D2,L2,V3,M2} F(670) { ! coll( X, Y, Z ), coll( Z,
% 3.73/4.14 Y, X ) }.
% 3.73/4.14 parent1[0]: (646) {G6,W8,D2,L2,V3,M2} R(641,1) { coll( X, Y, Y ), ! coll( Z
% 3.73/4.14 , Y, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Y
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (675) {G10,W8,D2,L2,V3,M2} R(671,646) { coll( X, X, Y ), !
% 3.73/4.14 coll( Z, X, Y ) }.
% 3.73/4.14 parent0: (22902) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22903) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[1]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 3.73/4.14 Z, X ) }.
% 3.73/4.14 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (716) {G2,W8,D2,L2,V3,M2} R(69,170) { ! midp( X, Y, Z ), coll
% 3.73/4.14 ( Z, X, Y ) }.
% 3.73/4.14 parent0: (22903) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Z
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Y
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22904) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[1]: (675) {G10,W8,D2,L2,V3,M2} R(671,646) { coll( X, X, Y ), ! coll
% 3.73/4.14 ( Z, X, Y ) }.
% 3.73/4.14 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := Z
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Y
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (723) {G11,W8,D2,L2,V3,M2} R(69,675) { ! midp( X, Y, Z ), coll
% 3.73/4.14 ( Y, Y, Z ) }.
% 3.73/4.14 parent0: (22904) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22905) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 3.73/4.14 ) }.
% 3.73/4.14 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.73/4.14 }.
% 3.73/4.14 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (742) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.73/4.14 , X, Z ) }.
% 3.73/4.14 parent0: (22905) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22906) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol25 )
% 3.73/4.14 }.
% 3.73/4.14 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.73/4.14 }.
% 3.73/4.14 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := skol26
% 3.73/4.14 Z := skol25
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (743) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol27, skol26,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 parent0: (22906) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22907) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol26, X ),
% 3.73/4.14 coll( skol25, X, skol27 ) }.
% 3.73/4.14 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.73/4.14 ), coll( Y, Z, X ) }.
% 3.73/4.14 parent1[0]: (743) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol27, skol26,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := skol25
% 3.73/4.14 Z := X
% 3.73/4.14 T := skol26
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (824) {G2,W8,D2,L2,V1,M2} R(743,2) { ! coll( skol27, skol26, X
% 3.73/4.14 ), coll( skol25, X, skol27 ) }.
% 3.73/4.14 parent0: (22907) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol26, X ), coll(
% 3.73/4.14 skol25, X, skol27 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22909) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 3.73/4.14 , X, X ), ! para( X, Y, X, Y ) }.
% 3.73/4.14 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.73/4.14 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.73/4.14 , Y, U, W, Z, T, U, W ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := Y
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := X
% 3.73/4.14 T := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 U := X
% 3.73/4.14 W := Z
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (841) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 3.73/4.14 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.73/4.14 parent0: (22909) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 3.73/4.14 , X ), ! para( X, Y, X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Z
% 3.73/4.14 Z := Y
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22910) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 3.73/4.14 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 3.73/4.14 cyclic( X, Y, Z, T ) }.
% 3.73/4.14 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 3.73/4.14 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 3.73/4.14 ), cong( X, Y, Z, T ) }.
% 3.73/4.14 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 3.73/4.14 Z, X, Z, Y, T, X, T, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := X
% 3.73/4.14 T := Y
% 3.73/4.14 U := Z
% 3.73/4.14 W := T
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := T
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22912) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.73/4.14 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 3.73/4.14 parent0[0, 2]: (22910) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 3.73/4.14 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 3.73/4.14 cyclic( X, Y, Z, T ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (978) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 3.73/4.14 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 3.73/4.14 parent0: (22912) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 3.73/4.14 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 3
% 3.73/4.14 3 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22917) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.73/4.14 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.73/4.14 parent0[0, 2]: (978) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 3.73/4.14 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 T := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (1010) {G2,W15,D2,L3,V3,M3} F(978) { ! cyclic( X, Y, Z, X ), !
% 3.73/4.14 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.73/4.14 parent0: (22917) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 3.73/4.14 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 Z := Z
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22919) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol27 ), !
% 3.73/4.14 coll( X, skol27, skol26 ) }.
% 3.73/4.14 parent0[0]: (824) {G2,W8,D2,L2,V1,M2} R(743,2) { ! coll( skol27, skol26, X
% 3.73/4.14 ), coll( skol25, X, skol27 ) }.
% 3.73/4.14 parent1[1]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.73/4.14 Z, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 Y := skol27
% 3.73/4.14 Z := skol26
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (1233) {G3,W8,D2,L2,V1,M2} R(824,171) { coll( skol25, X,
% 3.73/4.14 skol27 ), ! coll( X, skol27, skol26 ) }.
% 3.73/4.14 parent0: (22919) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol27 ), ! coll(
% 3.73/4.14 X, skol27, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22921) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol25 ), !
% 3.73/4.14 coll( X, skol27, skol26 ) }.
% 3.73/4.14 parent0[0]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.73/4.14 Z, X ) }.
% 3.73/4.14 parent1[0]: (1233) {G3,W8,D2,L2,V1,M2} R(824,171) { coll( skol25, X, skol27
% 3.73/4.14 ), ! coll( X, skol27, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol25
% 3.73/4.14 Y := X
% 3.73/4.14 Z := skol27
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (2112) {G4,W8,D2,L2,V1,M2} R(1233,171) { ! coll( X, skol27,
% 3.73/4.14 skol26 ), coll( X, skol27, skol25 ) }.
% 3.73/4.14 parent0: (22921) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol25 ), ! coll(
% 3.73/4.14 X, skol27, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22924) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol27, Y ), coll(
% 3.73/4.14 skol25, Y, X ), ! coll( X, skol27, skol26 ) }.
% 3.73/4.14 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.73/4.14 ), coll( Y, Z, X ) }.
% 3.73/4.14 parent1[1]: (2112) {G4,W8,D2,L2,V1,M2} R(1233,171) { ! coll( X, skol27,
% 3.73/4.14 skol26 ), coll( X, skol27, skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := skol25
% 3.73/4.14 Z := Y
% 3.73/4.14 T := skol27
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (2442) {G5,W12,D2,L3,V2,M3} R(2112,2) { ! coll( X, skol27,
% 3.73/4.14 skol26 ), ! coll( X, skol27, Y ), coll( skol25, Y, X ) }.
% 3.73/4.14 parent0: (22924) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol27, Y ), coll(
% 3.73/4.14 skol25, Y, X ), ! coll( X, skol27, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 2
% 3.73/4.14 2 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22928) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol27, skol26 ), coll(
% 3.73/4.14 skol25, skol26, X ) }.
% 3.73/4.14 parent0[0, 1]: (2442) {G5,W12,D2,L3,V2,M3} R(2112,2) { ! coll( X, skol27,
% 3.73/4.14 skol26 ), ! coll( X, skol27, Y ), coll( skol25, Y, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := skol26
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (2447) {G6,W8,D2,L2,V1,M2} F(2442) { ! coll( X, skol27, skol26
% 3.73/4.14 ), coll( skol25, skol26, X ) }.
% 3.73/4.14 parent0: (22928) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol27, skol26 ), coll(
% 3.73/4.14 skol25, skol26, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22929) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 3.73/4.14 Z ) }.
% 3.73/4.14 parent1[0]: (348) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol27, skol25,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := skol25
% 3.73/4.14 Z := skol26
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (2502) {G2,W5,D2,L1,V0,M1} R(68,348) { cong( skol27, skol25,
% 3.73/4.14 skol27, skol26 ) }.
% 3.73/4.14 parent0: (22929) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22930) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol26, skol27,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 3.73/4.14 Z ) }.
% 3.73/4.14 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := skol26
% 3.73/4.14 Z := skol25
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (2503) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol27, skol26,
% 3.73/4.14 skol27, skol25 ) }.
% 3.73/4.14 parent0: (22930) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol26, skol27,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22931) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol26,
% 3.73/4.14 skol27 ) }.
% 3.73/4.14 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 3.73/4.14 , T, Z ) }.
% 3.73/4.14 parent1[0]: (2502) {G2,W5,D2,L1,V0,M1} R(68,348) { cong( skol27, skol25,
% 3.73/4.14 skol27, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := skol25
% 3.73/4.14 Z := skol27
% 3.73/4.14 T := skol26
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (2512) {G3,W5,D2,L1,V0,M1} R(2502,22) { cong( skol27, skol25,
% 3.73/4.14 skol26, skol27 ) }.
% 3.73/4.14 parent0: (22931) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol26,
% 3.73/4.14 skol27 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22932) {G2,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 3.73/4.14 midp( skol27, X, skol26 ) }.
% 3.73/4.14 parent0[0]: (2447) {G6,W8,D2,L2,V1,M2} F(2442) { ! coll( X, skol27, skol26
% 3.73/4.14 ), coll( skol25, skol26, X ) }.
% 3.73/4.14 parent1[1]: (742) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.73/4.14 , X, Z ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := X
% 3.73/4.14 Z := skol26
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (3151) {G7,W8,D2,L2,V1,M2} R(2447,742) { coll( skol25, skol26
% 3.73/4.14 , X ), ! midp( skol27, X, skol26 ) }.
% 3.73/4.14 parent0: (22932) {G2,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 3.73/4.14 skol27, X, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22933) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 3.73/4.14 midp( skol27, skol26, X ) }.
% 3.73/4.14 parent0[0]: (2447) {G6,W8,D2,L2,V1,M2} F(2442) { ! coll( X, skol27, skol26
% 3.73/4.14 ), coll( skol25, skol26, X ) }.
% 3.73/4.14 parent1[1]: (716) {G2,W8,D2,L2,V3,M2} R(69,170) { ! midp( X, Y, Z ), coll(
% 3.73/4.14 Z, X, Y ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := skol26
% 3.73/4.14 Z := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (3154) {G7,W8,D2,L2,V1,M2} R(2447,716) { coll( skol25, skol26
% 3.73/4.14 , X ), ! midp( skol27, skol26, X ) }.
% 3.73/4.14 parent0: (22933) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 3.73/4.14 skol27, skol26, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22934) {G1,W8,D2,L2,V1,M2} { coll( skol25, X, skol26 ), !
% 3.73/4.14 midp( skol27, X, skol26 ) }.
% 3.73/4.14 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.73/4.14 }.
% 3.73/4.14 parent1[0]: (3151) {G7,W8,D2,L2,V1,M2} R(2447,742) { coll( skol25, skol26,
% 3.73/4.14 X ), ! midp( skol27, X, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol25
% 3.73/4.14 Y := skol26
% 3.73/4.14 Z := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (3233) {G8,W8,D2,L2,V1,M2} R(3151,0) { ! midp( skol27, X,
% 3.73/4.14 skol26 ), coll( skol25, X, skol26 ) }.
% 3.73/4.14 parent0: (22934) {G1,W8,D2,L2,V1,M2} { coll( skol25, X, skol26 ), ! midp(
% 3.73/4.14 skol27, X, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 1
% 3.73/4.14 1 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22935) {G2,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol26,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 parent0[0]: (127) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 3.73/4.14 ( X, Y, Z, Z ) }.
% 3.73/4.14 parent1[0]: (2502) {G2,W5,D2,L1,V0,M1} R(68,348) { cong( skol27, skol25,
% 3.73/4.14 skol27, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := skol25
% 3.73/4.14 Z := skol26
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (7262) {G3,W5,D2,L1,V0,M1} R(127,2502) { circle( skol27,
% 3.73/4.14 skol25, skol26, skol26 ) }.
% 3.73/4.14 parent0: (22935) {G2,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol26,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22936) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 3.73/4.14 skol25, skol25, skol27 ) }.
% 3.73/4.14 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 3.73/4.14 skol12( X, Y ), X, X, Y ) }.
% 3.73/4.14 parent1[0]: (7262) {G3,W5,D2,L1,V0,M1} R(127,2502) { circle( skol27, skol25
% 3.73/4.14 , skol26, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol25
% 3.73/4.14 Y := skol27
% 3.73/4.14 Z := skol26
% 3.73/4.14 T := skol26
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (7358) {G4,W7,D3,L1,V0,M1} R(7262,100) { perp( skol12( skol25
% 3.73/4.14 , skol27 ), skol25, skol25, skol27 ) }.
% 3.73/4.14 parent0: (22936) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 3.73/4.14 skol25, skol25, skol27 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22937) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol25,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 parent0[0]: (131) {G2,W10,D2,L2,V3,M2} F(130) { ! cong( X, Y, X, Z ),
% 3.73/4.14 cyclic( Y, Z, Z, Z ) }.
% 3.73/4.14 parent1[0]: (2503) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol27, skol26,
% 3.73/4.14 skol27, skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := skol26
% 3.73/4.14 Z := skol25
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (7418) {G3,W5,D2,L1,V0,M1} R(131,2503) { cyclic( skol26,
% 3.73/4.14 skol25, skol25, skol25 ) }.
% 3.73/4.14 parent0: (22937) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol25,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22938) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol25,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 parent0[0]: (132) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 3.73/4.14 cyclic( Y, Z, T, T ) }.
% 3.73/4.14 parent1[0]: (7418) {G3,W5,D2,L1,V0,M1} R(131,2503) { cyclic( skol26, skol25
% 3.73/4.14 , skol25, skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol26
% 3.73/4.14 Y := skol25
% 3.73/4.14 Z := skol25
% 3.73/4.14 T := skol25
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (7451) {G4,W5,D2,L1,V0,M1} R(132,7418) { cyclic( skol25,
% 3.73/4.14 skol25, skol25, skol25 ) }.
% 3.73/4.14 parent0: (22938) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol25,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22939) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 3.73/4.14 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.73/4.14 midp( skol27, skol26, skol25 ) }.
% 3.73/4.14 parent0[2]: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.73/4.14 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.73/4.14 parent1[0]: (3154) {G7,W8,D2,L2,V1,M2} R(2447,716) { coll( skol25, skol26,
% 3.73/4.14 X ), ! midp( skol27, skol26, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := skol26
% 3.73/4.14 Z := skol25
% 3.73/4.14 T := Y
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := skol25
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22942) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ),
% 3.73/4.14 midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27, skol26, skol25 )
% 3.73/4.14 }.
% 3.73/4.14 parent0[1]: (22939) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 3.73/4.14 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.73/4.14 midp( skol27, skol26, skol25 ) }.
% 3.73/4.14 parent1[0]: (340) {G4,W4,D2,L1,V0,M1} R(256,0) { coll( skol26, skol26,
% 3.73/4.14 skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (8090) {G8,W14,D3,L3,V2,M3} R(147,3154);r(340) { ! midp( X,
% 3.73/4.14 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27,
% 3.73/4.14 skol26, skol25 ) }.
% 3.73/4.14 parent0: (22942) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ), midp
% 3.73/4.14 ( skol7( skol26, Y ), skol26, Y ), ! midp( skol27, skol26, skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22944) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 ), !
% 3.73/4.14 coll( skol26, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 3.73/4.14 midp( skol27, skol25, skol26 ) }.
% 3.73/4.14 parent0[1]: (147) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.73/4.14 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.73/4.14 parent1[1]: (3233) {G8,W8,D2,L2,V1,M2} R(3151,0) { ! midp( skol27, X,
% 3.73/4.14 skol26 ), coll( skol25, X, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := skol25
% 3.73/4.14 Z := skol26
% 3.73/4.14 T := Y
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := skol25
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22947) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol26 ),
% 3.73/4.14 midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27, skol25, skol26 )
% 3.73/4.14 }.
% 3.73/4.14 parent0[1]: (22944) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 ), !
% 3.73/4.14 coll( skol26, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 3.73/4.14 midp( skol27, skol25, skol26 ) }.
% 3.73/4.14 parent1[0]: (256) {G3,W4,D2,L1,V0,M1} R(210,172) { coll( skol26, skol25,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (8101) {G9,W14,D3,L3,V2,M3} R(147,3233);r(256) { ! midp( X,
% 3.73/4.14 skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27,
% 3.73/4.14 skol25, skol26 ) }.
% 3.73/4.14 parent0: (22947) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol26 ), midp
% 3.73/4.14 ( skol7( skol25, Y ), skol25, Y ), ! midp( skol27, skol25, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 Y := Y
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 1 ==> 1
% 3.73/4.14 2 ==> 2
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22949) {G9,W10,D3,L2,V1,M2} { ! midp( skol27, skol25, skol26 ),
% 3.73/4.14 midp( skol7( skol25, X ), skol25, X ) }.
% 3.73/4.14 parent0[0, 2]: (8101) {G9,W14,D3,L3,V2,M3} R(147,3233);r(256) { ! midp( X,
% 3.73/4.14 skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27,
% 3.73/4.14 skol25, skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22950) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25
% 3.73/4.14 , X ) }.
% 3.73/4.14 parent0[0]: (22949) {G9,W10,D3,L2,V1,M2} { ! midp( skol27, skol25, skol26
% 3.73/4.14 ), midp( skol7( skol25, X ), skol25, X ) }.
% 3.73/4.14 parent1[0]: (348) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol27, skol25,
% 3.73/4.14 skol26 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (8195) {G10,W6,D3,L1,V1,M1} F(8101);r(348) { midp( skol7(
% 3.73/4.14 skol25, X ), skol25, X ) }.
% 3.73/4.14 parent0: (22950) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25, X
% 3.73/4.14 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 factor: (22951) {G8,W10,D3,L2,V1,M2} { ! midp( skol27, skol26, skol25 ),
% 3.73/4.14 midp( skol7( skol26, X ), skol26, X ) }.
% 3.73/4.14 parent0[0, 2]: (8090) {G8,W14,D3,L3,V2,M3} R(147,3154);r(340) { ! midp( X,
% 3.73/4.14 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27,
% 3.73/4.14 skol26, skol25 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol27
% 3.73/4.14 Y := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22952) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 3.73/4.14 , X ) }.
% 3.73/4.14 parent0[0]: (22951) {G8,W10,D3,L2,V1,M2} { ! midp( skol27, skol26, skol25
% 3.73/4.14 ), midp( skol7( skol26, X ), skol26, X ) }.
% 3.73/4.14 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 )
% 3.73/4.14 }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (8196) {G9,W6,D3,L1,V1,M1} F(8090);r(116) { midp( skol7(
% 3.73/4.14 skol26, X ), skol26, X ) }.
% 3.73/4.14 parent0: (22952) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 3.73/4.14 ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22953) {G10,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.73/4.14 parent0[0]: (723) {G11,W8,D2,L2,V3,M2} R(69,675) { ! midp( X, Y, Z ), coll
% 3.73/4.14 ( Y, Y, Z ) }.
% 3.73/4.14 parent1[0]: (8196) {G9,W6,D3,L1,V1,M1} F(8090);r(116) { midp( skol7( skol26
% 3.73/4.14 , X ), skol26, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol7( skol26, X )
% 3.73/4.14 Y := skol26
% 3.73/4.14 Z := X
% 3.73/4.14 end
% 3.73/4.14 substitution1:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 subsumption: (8242) {G12,W4,D2,L1,V1,M1} R(8196,723) { coll( skol26, skol26
% 3.73/4.14 , X ) }.
% 3.73/4.14 parent0: (22953) {G10,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := X
% 3.73/4.14 end
% 3.73/4.14 permutation0:
% 3.73/4.14 0 ==> 0
% 3.73/4.14 end
% 3.73/4.14
% 3.73/4.14 resolution: (22954) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.73/4.14 coll( X, Y, skol26 ) }.
% 3.73/4.14 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.73/4.14 ), coll( Y, Z, X ) }.
% 3.73/4.14 parent1[0]: (8242) {G12,W4,D2,L1,V1,M1} R(8196,723) { coll( skol26, skol26
% 3.73/4.14 , X ) }.
% 3.73/4.14 substitution0:
% 3.73/4.14 X := skol26
% 3.73/4.14 Y := X
% 3.73/4.14 Z := Y
% 3.73/4.14 T := skol26
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22956) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.73/4.15 parent0[0]: (22954) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.73/4.15 coll( X, Y, skol26 ) }.
% 3.73/4.15 parent1[0]: (8242) {G12,W4,D2,L1,V1,M1} R(8196,723) { coll( skol26, skol26
% 3.73/4.15 , X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := Y
% 3.73/4.15 Y := X
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8303) {G13,W4,D2,L1,V2,M1} R(8242,2);r(8242) { coll( Y, X,
% 3.73/4.15 skol26 ) }.
% 3.73/4.15 parent0: (22956) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22957) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.73/4.15 parent0[0]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.73/4.15 Z, X ) }.
% 3.73/4.15 parent1[0]: (8303) {G13,W4,D2,L1,V2,M1} R(8242,2);r(8242) { coll( Y, X,
% 3.73/4.15 skol26 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := skol26
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := Y
% 3.73/4.15 Y := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8328) {G14,W4,D2,L1,V2,M1} R(8303,171) { coll( X, skol26, Y )
% 3.73/4.15 }.
% 3.73/4.15 parent0: (22957) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := Y
% 3.73/4.15 Y := X
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22958) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.73/4.15 , Z, X ) }.
% 3.73/4.15 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.73/4.15 ), coll( Y, Z, X ) }.
% 3.73/4.15 parent1[0]: (8328) {G14,W4,D2,L1,V2,M1} R(8303,171) { coll( X, skol26, Y )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := skol26
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22960) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.73/4.15 parent0[0]: (22958) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.73/4.15 , Z, X ) }.
% 3.73/4.15 parent1[0]: (8328) {G14,W4,D2,L1,V2,M1} R(8303,171) { coll( X, skol26, Y )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Z
% 3.73/4.15 Z := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8342) {G15,W4,D2,L1,V3,M1} R(8328,2);r(8328) { coll( Z, Y, X
% 3.73/4.15 ) }.
% 3.73/4.15 parent0: (22960) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22961) {G2,W5,D2,L1,V1,M1} { para( skol25, skol25, X, X ) }.
% 3.73/4.15 parent0[0]: (140) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 3.73/4.15 , Z, Z ) }.
% 3.73/4.15 parent1[0]: (8195) {G10,W6,D3,L1,V1,M1} F(8101);r(348) { midp( skol7(
% 3.73/4.15 skol25, X ), skol25, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol7( skol25, X )
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := X
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8395) {G11,W5,D2,L1,V1,M1} R(8195,140) { para( skol25, skol25
% 3.73/4.15 , X, X ) }.
% 3.73/4.15 parent0: (22961) {G2,W5,D2,L1,V1,M1} { para( skol25, skol25, X, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22962) {G1,W5,D2,L1,V1,M1} { para( X, X, skol25, skol25 ) }.
% 3.73/4.15 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 3.73/4.15 X, Y ) }.
% 3.73/4.15 parent1[0]: (8395) {G11,W5,D2,L1,V1,M1} R(8195,140) { para( skol25, skol25
% 3.73/4.15 , X, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := X
% 3.73/4.15 T := X
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8415) {G12,W5,D2,L1,V1,M1} R(8395,4) { para( X, X, skol25,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 parent0: (22962) {G1,W5,D2,L1,V1,M1} { para( X, X, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22963) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol25,
% 3.73/4.15 skol25, Y, Z ) }.
% 3.73/4.15 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.73/4.15 , Y, U, W, Z, T, U, W ) }.
% 3.73/4.15 parent1[0]: (8415) {G12,W5,D2,L1,V1,M1} R(8395,4) { para( X, X, skol25,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := X
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol25
% 3.73/4.15 U := Y
% 3.73/4.15 W := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8419) {G13,W9,D2,L1,V3,M1} R(8415,39) { eqangle( X, X, Y, Z,
% 3.73/4.15 skol25, skol25, Y, Z ) }.
% 3.73/4.15 parent0: (22963) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol25, skol25
% 3.73/4.15 , Y, Z ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22964) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 3.73/4.15 skol25, skol27 ), skol25 ) }.
% 3.73/4.15 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.15 X, Y ) }.
% 3.73/4.15 parent1[0]: (7358) {G4,W7,D3,L1,V0,M1} R(7262,100) { perp( skol12( skol25,
% 3.73/4.15 skol27 ), skol25, skol25, skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol12( skol25, skol27 )
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8446) {G5,W7,D3,L1,V0,M1} R(7358,7) { perp( skol25, skol27,
% 3.73/4.15 skol12( skol25, skol27 ), skol25 ) }.
% 3.73/4.15 parent0: (22964) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 3.73/4.15 skol25, skol27 ), skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22965) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 3.73/4.15 skol12( skol25, skol27 ) ) }.
% 3.73/4.15 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.73/4.15 T, Z ) }.
% 3.73/4.15 parent1[0]: (8446) {G5,W7,D3,L1,V0,M1} R(7358,7) { perp( skol25, skol27,
% 3.73/4.15 skol12( skol25, skol27 ), skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol27
% 3.73/4.15 Z := skol12( skol25, skol27 )
% 3.73/4.15 T := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8455) {G6,W7,D3,L1,V0,M1} R(8446,6) { perp( skol25, skol27,
% 3.73/4.15 skol25, skol12( skol25, skol27 ) ) }.
% 3.73/4.15 parent0: (22965) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 3.73/4.15 skol12( skol25, skol27 ) ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22966) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 3.73/4.15 skol27 ), skol25, skol27 ) }.
% 3.73/4.15 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.15 X, Y ) }.
% 3.73/4.15 parent1[0]: (8455) {G6,W7,D3,L1,V0,M1} R(8446,6) { perp( skol25, skol27,
% 3.73/4.15 skol25, skol12( skol25, skol27 ) ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol27
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol12( skol25, skol27 )
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8463) {G7,W7,D3,L1,V0,M1} R(8455,7) { perp( skol25, skol12(
% 3.73/4.15 skol25, skol27 ), skol25, skol27 ) }.
% 3.73/4.15 parent0: (22966) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 3.73/4.15 skol27 ), skol25, skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22967) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 3.73/4.15 skol27 ), skol27, skol25 ) }.
% 3.73/4.15 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.73/4.15 T, Z ) }.
% 3.73/4.15 parent1[0]: (8463) {G7,W7,D3,L1,V0,M1} R(8455,7) { perp( skol25, skol12(
% 3.73/4.15 skol25, skol27 ), skol25, skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol12( skol25, skol27 )
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8472) {G8,W7,D3,L1,V0,M1} R(8463,6) { perp( skol25, skol12(
% 3.73/4.15 skol25, skol27 ), skol27, skol25 ) }.
% 3.73/4.15 parent0: (22967) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 3.73/4.15 skol27 ), skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22968) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol25,
% 3.73/4.15 skol12( skol25, skol27 ) ) }.
% 3.73/4.15 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.15 X, Y ) }.
% 3.73/4.15 parent1[0]: (8472) {G8,W7,D3,L1,V0,M1} R(8463,6) { perp( skol25, skol12(
% 3.73/4.15 skol25, skol27 ), skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol12( skol25, skol27 )
% 3.73/4.15 Z := skol27
% 3.73/4.15 T := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8481) {G9,W7,D3,L1,V0,M1} R(8472,7) { perp( skol27, skol25,
% 3.73/4.15 skol25, skol12( skol25, skol27 ) ) }.
% 3.73/4.15 parent0: (22968) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol25,
% 3.73/4.15 skol12( skol25, skol27 ) ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22969) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol27
% 3.73/4.15 ), X, Y ), perp( skol16( skol27, X, Y ), skol27, X, Y ) }.
% 3.73/4.15 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.73/4.15 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.15 parent1[0]: (8481) {G9,W7,D3,L1,V0,M1} R(8472,7) { perp( skol27, skol25,
% 3.73/4.15 skol25, skol12( skol25, skol27 ) ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol27
% 3.73/4.15 Y := X
% 3.73/4.15 Z := Y
% 3.73/4.15 T := skol12( skol25, skol27 )
% 3.73/4.15 U := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22970) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol27, X, Y ),
% 3.73/4.15 skol27, X, Y ) }.
% 3.73/4.15 parent0[0]: (22969) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol27
% 3.73/4.15 ), X, Y ), perp( skol16( skol27, X, Y ), skol27, X, Y ) }.
% 3.73/4.15 parent1[0]: (8342) {G15,W4,D2,L1,V3,M1} R(8328,2);r(8328) { coll( Z, Y, X )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := Y
% 3.73/4.15 Y := X
% 3.73/4.15 Z := skol12( skol25, skol27 )
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8483) {G16,W8,D3,L1,V2,M1} R(8481,110);r(8342) { perp( skol16
% 3.73/4.15 ( skol27, X, Y ), skol27, X, Y ) }.
% 3.73/4.15 parent0: (22970) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol27, X, Y ),
% 3.73/4.15 skol27, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22971) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol27, X, Y
% 3.73/4.15 ), skol27 ) }.
% 3.73/4.15 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.15 X, Y ) }.
% 3.73/4.15 parent1[0]: (8483) {G16,W8,D3,L1,V2,M1} R(8481,110);r(8342) { perp( skol16
% 3.73/4.15 ( skol27, X, Y ), skol27, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol16( skol27, X, Y )
% 3.73/4.15 Y := skol27
% 3.73/4.15 Z := X
% 3.73/4.15 T := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8682) {G17,W8,D3,L1,V2,M1} R(8483,7) { perp( X, Y, skol16(
% 3.73/4.15 skol27, X, Y ), skol27 ) }.
% 3.73/4.15 parent0: (22971) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol27, X, Y )
% 3.73/4.15 , skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22972) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol27, skol16(
% 3.73/4.15 skol27, X, Y ) ) }.
% 3.73/4.15 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.73/4.15 T, Z ) }.
% 3.73/4.15 parent1[0]: (8682) {G17,W8,D3,L1,V2,M1} R(8483,7) { perp( X, Y, skol16(
% 3.73/4.15 skol27, X, Y ), skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := skol16( skol27, X, Y )
% 3.73/4.15 T := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8692) {G18,W8,D3,L1,V2,M1} R(8682,6) { perp( X, Y, skol27,
% 3.73/4.15 skol16( skol27, X, Y ) ) }.
% 3.73/4.15 parent0: (22972) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol27, skol16( skol27
% 3.73/4.15 , X, Y ) ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22973) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol27, X,
% 3.73/4.15 skol27 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.15 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.73/4.15 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.15 parent1[0]: (8692) {G18,W8,D3,L1,V2,M1} R(8682,6) { perp( X, Y, skol27,
% 3.73/4.15 skol16( skol27, X, Y ) ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := skol16( skol27, X, skol27 )
% 3.73/4.15 U := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := skol27
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22974) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z
% 3.73/4.15 ) }.
% 3.73/4.15 parent0[0]: (22973) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol27, X,
% 3.73/4.15 skol27 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.15 parent1[0]: (8342) {G15,W4,D2,L1,V3,M1} R(8328,2);r(8328) { coll( Z, Y, X )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := Z
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := skol16( skol27, X, skol27 )
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8701) {G19,W8,D3,L1,V3,M1} R(8692,110);r(8342) { perp( skol16
% 3.73/4.15 ( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.15 parent0: (22974) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22975) {G1,W8,D3,L1,V3,M1} { perp( Y, Z, skol16( X, Y, Z ), X
% 3.73/4.15 ) }.
% 3.73/4.15 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.15 X, Y ) }.
% 3.73/4.15 parent1[0]: (8701) {G19,W8,D3,L1,V3,M1} R(8692,110);r(8342) { perp( skol16
% 3.73/4.15 ( X, Y, Z ), X, Y, Z ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol16( X, Y, Z )
% 3.73/4.15 Y := X
% 3.73/4.15 Z := Y
% 3.73/4.15 T := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8720) {G20,W8,D3,L1,V3,M1} R(8701,7) { perp( X, Y, skol16( Z
% 3.73/4.15 , X, Y ), Z ) }.
% 3.73/4.15 parent0: (22975) {G1,W8,D3,L1,V3,M1} { perp( Y, Z, skol16( X, Y, Z ), X )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := Z
% 3.73/4.15 Y := X
% 3.73/4.15 Z := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22976) {G1,W8,D3,L1,V3,M1} { perp( X, Y, Z, skol16( Z, X, Y )
% 3.73/4.15 ) }.
% 3.73/4.15 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.73/4.15 T, Z ) }.
% 3.73/4.15 parent1[0]: (8720) {G20,W8,D3,L1,V3,M1} R(8701,7) { perp( X, Y, skol16( Z,
% 3.73/4.15 X, Y ), Z ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := skol16( Z, X, Y )
% 3.73/4.15 T := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8740) {G21,W8,D3,L1,V3,M1} R(8720,6) { perp( X, Y, Z, skol16
% 3.73/4.15 ( Z, X, Y ) ) }.
% 3.73/4.15 parent0: (22976) {G1,W8,D3,L1,V3,M1} { perp( X, Y, Z, skol16( Z, X, Y ) )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22977) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y
% 3.73/4.15 ) }.
% 3.73/4.15 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.15 X, Y ) }.
% 3.73/4.15 parent1[0]: (8740) {G21,W8,D3,L1,V3,M1} R(8720,6) { perp( X, Y, Z, skol16(
% 3.73/4.15 Z, X, Y ) ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := skol16( Z, X, Y )
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8751) {G22,W8,D3,L1,V3,M1} R(8740,7) { perp( X, skol16( X, Y
% 3.73/4.15 , Z ), Y, Z ) }.
% 3.73/4.15 parent0: (22977) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := Y
% 3.73/4.15 Y := Z
% 3.73/4.15 Z := X
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22978) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X
% 3.73/4.15 ) }.
% 3.73/4.15 parent0[0]: (153) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 3.73/4.15 X, skol10( X, X, Z ), Z, X ) }.
% 3.73/4.15 parent1[0]: (8751) {G22,W8,D3,L1,V3,M1} R(8740,7) { perp( X, skol16( X, Y,
% 3.73/4.15 Z ), Y, Z ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := skol16( X, X, Y )
% 3.73/4.15 Z := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := X
% 3.73/4.15 Z := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8765) {G23,W8,D3,L1,V2,M1} R(8751,153) { perp( X, skol10( X,
% 3.73/4.15 X, Y ), Y, X ) }.
% 3.73/4.15 parent0: (22978) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22979) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y )
% 3.73/4.15 ) }.
% 3.73/4.15 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.73/4.15 X, Y ) }.
% 3.73/4.15 parent1[0]: (8765) {G23,W8,D3,L1,V2,M1} R(8751,153) { perp( X, skol10( X, X
% 3.73/4.15 , Y ), Y, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := skol10( X, X, Y )
% 3.73/4.15 Z := Y
% 3.73/4.15 T := X
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (8865) {G24,W8,D3,L1,V2,M1} R(8765,7) { perp( X, Y, Y, skol10
% 3.73/4.15 ( Y, Y, X ) ) }.
% 3.73/4.15 parent0: (22979) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y ) )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := Y
% 3.73/4.15 Y := X
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22980) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 3.73/4.15 parent0[0]: (318) {G2,W10,D2,L2,V4,M2} F(306) { ! perp( X, Y, Z, T ), para
% 3.73/4.15 ( X, Y, X, Y ) }.
% 3.73/4.15 parent1[0]: (8865) {G24,W8,D3,L1,V2,M1} R(8765,7) { perp( X, Y, Y, skol10(
% 3.73/4.15 Y, Y, X ) ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Y
% 3.73/4.15 T := skol10( Y, Y, X )
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (9737) {G25,W5,D2,L1,V2,M1} R(318,8865) { para( X, Y, X, Y )
% 3.73/4.15 }.
% 3.73/4.15 parent0: (22980) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22981) {G3,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 parent0[0]: (529) {G2,W10,D2,L2,V4,M2} F(518) { ! cong( X, Y, Z, T ), cong
% 3.73/4.15 ( X, Y, X, Y ) }.
% 3.73/4.15 parent1[0]: (2512) {G3,W5,D2,L1,V0,M1} R(2502,22) { cong( skol27, skol25,
% 3.73/4.15 skol26, skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol27
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol26
% 3.73/4.15 T := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (14459) {G4,W5,D2,L1,V0,M1} R(529,2512) { cong( skol27, skol25
% 3.73/4.15 , skol27, skol25 ) }.
% 3.73/4.15 parent0: (22981) {G3,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22982) {G1,W9,D2,L1,V0,M1} { eqangle( skol27, skol25, skol25
% 3.73/4.15 , skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 parent0[0]: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 3.73/4.15 , X, X, Y, X, Y, Z, Y ) }.
% 3.73/4.15 parent1[0]: (14459) {G4,W5,D2,L1,V0,M1} R(529,2512) { cong( skol27, skol25
% 3.73/4.15 , skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (14722) {G5,W9,D2,L1,V0,M1} R(14459,46) { eqangle( skol27,
% 3.73/4.15 skol25, skol25, skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 parent0: (22982) {G1,W9,D2,L1,V0,M1} { eqangle( skol27, skol25, skol25,
% 3.73/4.15 skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22983) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol25, skol25,
% 3.73/4.15 skol25, skol25 ), ! cyclic( skol25, skol25, skol25, skol25 ), cong(
% 3.73/4.15 skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent0[2]: (135) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 3.73/4.15 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 3.73/4.15 , U ) }.
% 3.73/4.15 parent1[0]: (8419) {G13,W9,D2,L1,V3,M1} R(8415,39) { eqangle( X, X, Y, Z,
% 3.73/4.15 skol25, skol25, Y, Z ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol25
% 3.73/4.15 U := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 factor: (22984) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol25, skol25,
% 3.73/4.15 skol25 ), cong( skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent0[0, 1]: (22983) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol25, skol25,
% 3.73/4.15 skol25, skol25 ), ! cyclic( skol25, skol25, skol25, skol25 ), cong(
% 3.73/4.15 skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22986) {G3,W5,D2,L1,V0,M1} { cong( skol25, skol25, skol25,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 parent0[0]: (22984) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol25,
% 3.73/4.15 skol25, skol25 ), cong( skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent1[0]: (7451) {G4,W5,D2,L1,V0,M1} R(132,7418) { cyclic( skol25, skol25
% 3.73/4.15 , skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (15550) {G14,W5,D2,L1,V0,M1} R(8419,135);f;r(7451) { cong(
% 3.73/4.15 skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent0: (22986) {G3,W5,D2,L1,V0,M1} { cong( skol25, skol25, skol25,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22987) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol25,
% 3.73/4.15 skol25, skol25 ), perp( skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent0[0]: (138) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 3.73/4.15 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 3.73/4.15 parent1[0]: (15550) {G14,W5,D2,L1,V0,M1} R(8419,135);f;r(7451) { cong(
% 3.73/4.15 skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22988) {G3,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol25,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 parent0[0]: (22987) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol25,
% 3.73/4.15 skol25, skol25 ), perp( skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent1[0]: (7451) {G4,W5,D2,L1,V0,M1} R(132,7418) { cyclic( skol25, skol25
% 3.73/4.15 , skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (15570) {G15,W5,D2,L1,V0,M1} R(15550,138);r(7451) { perp(
% 3.73/4.15 skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent0: (22988) {G3,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol25,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22989) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol25, skol25 ), !
% 3.73/4.15 para( X, Y, skol25, skol25 ) }.
% 3.73/4.15 parent0[0]: (337) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 3.73/4.15 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 3.73/4.15 parent1[0]: (15570) {G15,W5,D2,L1,V0,M1} R(15550,138);r(7451) { perp(
% 3.73/4.15 skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol25
% 3.73/4.15 U := X
% 3.73/4.15 W := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (15580) {G16,W10,D2,L2,V2,M2} R(15570,337) { perp( X, Y,
% 3.73/4.15 skol25, skol25 ), ! para( X, Y, skol25, skol25 ) }.
% 3.73/4.15 parent0: (22989) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol25, skol25 ), !
% 3.73/4.15 para( X, Y, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 1 ==> 1
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22991) {G2,W10,D2,L2,V2,M2} { ! perp( skol25, skol25, X, Y )
% 3.73/4.15 , para( skol25, skol25, X, Y ) }.
% 3.73/4.15 parent0[2]: (307) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 3.73/4.15 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 3.73/4.15 parent1[0]: (15570) {G15,W5,D2,L1,V0,M1} R(15550,138);r(7451) { perp(
% 3.73/4.15 skol25, skol25, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := X
% 3.73/4.15 T := Y
% 3.73/4.15 U := skol25
% 3.73/4.15 W := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (15597) {G16,W10,D2,L2,V2,M2} R(15570,307) { ! perp( skol25,
% 3.73/4.15 skol25, X, Y ), para( skol25, skol25, X, Y ) }.
% 3.73/4.15 parent0: (22991) {G2,W10,D2,L2,V2,M2} { ! perp( skol25, skol25, X, Y ),
% 3.73/4.15 para( skol25, skol25, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 1 ==> 1
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22992) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol27, skol25
% 3.73/4.15 , skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 parent0[1]: (453) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 3.73/4.15 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.73/4.15 parent1[0]: (14722) {G5,W9,D2,L1,V0,M1} R(14459,46) { eqangle( skol27,
% 3.73/4.15 skol25, skol25, skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol27
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol25
% 3.73/4.15 U := skol25
% 3.73/4.15 W := skol25
% 3.73/4.15 V0 := skol27
% 3.73/4.15 V1 := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (17821) {G6,W9,D2,L1,V0,M1} R(14722,453) { eqangle( skol25,
% 3.73/4.15 skol27, skol25, skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 parent0: (22992) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol27, skol25,
% 3.73/4.15 skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22993) {G1,W10,D2,L2,V0,M2} { para( skol27, skol25, skol25,
% 3.73/4.15 skol25 ), perp( skol27, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 3.73/4.15 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.15 parent1[0]: (14722) {G5,W9,D2,L1,V0,M1} R(14459,46) { eqangle( skol27,
% 3.73/4.15 skol25, skol25, skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol27
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22994) {G2,W10,D2,L2,V0,M2} { perp( skol27, skol25, skol25,
% 3.73/4.15 skol25 ), perp( skol27, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent0[1]: (15580) {G16,W10,D2,L2,V2,M2} R(15570,337) { perp( X, Y, skol25
% 3.73/4.15 , skol25 ), ! para( X, Y, skol25, skol25 ) }.
% 3.73/4.15 parent1[0]: (22993) {G1,W10,D2,L2,V0,M2} { para( skol27, skol25, skol25,
% 3.73/4.15 skol25 ), perp( skol27, skol25, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol27
% 3.73/4.15 Y := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 factor: (22995) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol25, skol25
% 3.73/4.15 ) }.
% 3.73/4.15 parent0[0, 1]: (22994) {G2,W10,D2,L2,V0,M2} { perp( skol27, skol25, skol25
% 3.73/4.15 , skol25 ), perp( skol27, skol25, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (17825) {G17,W5,D2,L1,V0,M1} R(14722,71);r(15580) { perp(
% 3.73/4.15 skol27, skol25, skol25, skol25 ) }.
% 3.73/4.15 parent0: (22995) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol25,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22996) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol27,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 parent0[1]: (293) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 3.73/4.15 ( Z, T, Y, X ) }.
% 3.73/4.15 parent1[0]: (17825) {G17,W5,D2,L1,V0,M1} R(14722,71);r(15580) { perp(
% 3.73/4.15 skol27, skol25, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol27
% 3.73/4.15 T := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (17854) {G18,W5,D2,L1,V0,M1} R(17825,293) { perp( skol25,
% 3.73/4.15 skol25, skol27, skol25 ) }.
% 3.73/4.15 parent0: (22996) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol27,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22997) {G2,W9,D2,L1,V0,M1} { eqangle( skol27, skol25, skol25
% 3.73/4.15 , skol25, skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 parent0[1]: (441) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W
% 3.73/4.15 , V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 3.73/4.15 parent1[0]: (17821) {G6,W9,D2,L1,V0,M1} R(14722,453) { eqangle( skol25,
% 3.73/4.15 skol27, skol25, skol25, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol27
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol25
% 3.73/4.15 U := skol25
% 3.73/4.15 W := skol25
% 3.73/4.15 V0 := skol25
% 3.73/4.15 V1 := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (18044) {G7,W9,D2,L1,V0,M1} R(17821,441) { eqangle( skol27,
% 3.73/4.15 skol25, skol25, skol25, skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 parent0: (22997) {G2,W9,D2,L1,V0,M1} { eqangle( skol27, skol25, skol25,
% 3.73/4.15 skol25, skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22998) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol25, skol25
% 3.73/4.15 , skol27, skol25, skol27, skol25, skol25 ) }.
% 3.73/4.15 parent0[1]: (442) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W
% 3.73/4.15 , V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.73/4.15 parent1[0]: (18044) {G7,W9,D2,L1,V0,M1} R(17821,441) { eqangle( skol27,
% 3.73/4.15 skol25, skol25, skol25, skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol27
% 3.73/4.15 U := skol25
% 3.73/4.15 W := skol27
% 3.73/4.15 V0 := skol25
% 3.73/4.15 V1 := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (18046) {G8,W9,D2,L1,V0,M1} R(18044,442) { eqangle( skol25,
% 3.73/4.15 skol25, skol25, skol27, skol25, skol27, skol25, skol25 ) }.
% 3.73/4.15 parent0: (22998) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol25, skol25,
% 3.73/4.15 skol27, skol25, skol27, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (22999) {G1,W10,D2,L2,V0,M2} { para( skol25, skol25, skol25,
% 3.73/4.15 skol27 ), perp( skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 3.73/4.15 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.73/4.15 parent1[0]: (18046) {G8,W9,D2,L1,V0,M1} R(18044,442) { eqangle( skol25,
% 3.73/4.15 skol25, skol25, skol27, skol25, skol27, skol25, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23000) {G2,W10,D2,L2,V0,M2} { para( skol25, skol25, skol25,
% 3.73/4.15 skol27 ), para( skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 parent0[0]: (15597) {G16,W10,D2,L2,V2,M2} R(15570,307) { ! perp( skol25,
% 3.73/4.15 skol25, X, Y ), para( skol25, skol25, X, Y ) }.
% 3.73/4.15 parent1[1]: (22999) {G1,W10,D2,L2,V0,M2} { para( skol25, skol25, skol25,
% 3.73/4.15 skol27 ), perp( skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 factor: (23001) {G2,W5,D2,L1,V0,M1} { para( skol25, skol25, skol25, skol27
% 3.73/4.15 ) }.
% 3.73/4.15 parent0[0, 1]: (23000) {G2,W10,D2,L2,V0,M2} { para( skol25, skol25, skol25
% 3.73/4.15 , skol27 ), para( skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (18047) {G17,W5,D2,L1,V0,M1} R(18046,71);r(15597) { para(
% 3.73/4.15 skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 parent0: (23001) {G2,W5,D2,L1,V0,M1} { para( skol25, skol25, skol25,
% 3.73/4.15 skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23002) {G1,W5,D2,L1,V0,M1} { para( skol25, skol25, skol27,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 3.73/4.15 T, Z ) }.
% 3.73/4.15 parent1[0]: (18047) {G17,W5,D2,L1,V0,M1} R(18046,71);r(15597) { para(
% 3.73/4.15 skol25, skol25, skol25, skol27 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol25
% 3.73/4.15 T := skol27
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (18081) {G18,W5,D2,L1,V0,M1} R(18047,3) { para( skol25, skol25
% 3.73/4.15 , skol27, skol25 ) }.
% 3.73/4.15 parent0: (23002) {G1,W5,D2,L1,V0,M1} { para( skol25, skol25, skol27,
% 3.73/4.15 skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23003) {G1,W9,D2,L1,V2,M1} { eqangle( skol25, skol25, X, Y,
% 3.73/4.15 skol27, skol25, X, Y ) }.
% 3.73/4.15 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.73/4.15 , Y, U, W, Z, T, U, W ) }.
% 3.73/4.15 parent1[0]: (18081) {G18,W5,D2,L1,V0,M1} R(18047,3) { para( skol25, skol25
% 3.73/4.15 , skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol27
% 3.73/4.15 T := skol25
% 3.73/4.15 U := X
% 3.73/4.15 W := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (18135) {G19,W9,D2,L1,V2,M1} R(18081,39) { eqangle( skol25,
% 3.73/4.15 skol25, X, Y, skol27, skol25, X, Y ) }.
% 3.73/4.15 parent0: (23003) {G1,W9,D2,L1,V2,M1} { eqangle( skol25, skol25, X, Y,
% 3.73/4.15 skol27, skol25, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23004) {G2,W9,D2,L1,V2,M1} { eqangle( skol25, skol25, skol27
% 3.73/4.15 , skol25, X, Y, X, Y ) }.
% 3.73/4.15 parent0[1]: (453) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 3.73/4.15 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.73/4.15 parent1[0]: (18135) {G19,W9,D2,L1,V2,M1} R(18081,39) { eqangle( skol25,
% 3.73/4.15 skol25, X, Y, skol27, skol25, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol27
% 3.73/4.15 T := skol25
% 3.73/4.15 U := X
% 3.73/4.15 W := Y
% 3.73/4.15 V0 := X
% 3.73/4.15 V1 := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (19579) {G20,W9,D2,L1,V2,M1} R(18135,453) { eqangle( skol25,
% 3.73/4.15 skol25, skol27, skol25, X, Y, X, Y ) }.
% 3.73/4.15 parent0: (23004) {G2,W9,D2,L1,V2,M1} { eqangle( skol25, skol25, skol27,
% 3.73/4.15 skol25, X, Y, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23005) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol25,
% 3.73/4.15 skol25, skol27, skol25 ) }.
% 3.73/4.15 parent0[0]: (443) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 3.73/4.15 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.73/4.15 parent1[0]: (19579) {G20,W9,D2,L1,V2,M1} R(18135,453) { eqangle( skol25,
% 3.73/4.15 skol25, skol27, skol25, X, Y, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol25
% 3.73/4.15 Y := skol25
% 3.73/4.15 Z := skol27
% 3.73/4.15 T := skol25
% 3.73/4.15 U := X
% 3.73/4.15 W := Y
% 3.73/4.15 V0 := X
% 3.73/4.15 V1 := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (19586) {G21,W9,D2,L1,V2,M1} R(19579,443) { eqangle( X, Y, Y,
% 3.73/4.15 X, skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 parent0: (23005) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol25, skol25
% 3.73/4.15 , skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := Y
% 3.73/4.15 Y := X
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23006) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol25, skol27
% 3.73/4.15 , skol25 ), perp( X, Y, Y, X ) }.
% 3.73/4.15 parent0[0]: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.73/4.15 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.73/4.15 parent1[0]: (19586) {G21,W9,D2,L1,V2,M1} R(19579,443) { eqangle( X, Y, Y, X
% 3.73/4.15 , skol25, skol25, skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Y
% 3.73/4.15 T := X
% 3.73/4.15 U := skol25
% 3.73/4.15 W := skol25
% 3.73/4.15 V0 := skol27
% 3.73/4.15 V1 := skol25
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23007) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 3.73/4.15 parent0[0]: (23006) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol25, skol27
% 3.73/4.15 , skol25 ), perp( X, Y, Y, X ) }.
% 3.73/4.15 parent1[0]: (17854) {G18,W5,D2,L1,V0,M1} R(17825,293) { perp( skol25,
% 3.73/4.15 skol25, skol27, skol25 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (19599) {G22,W5,D2,L1,V2,M1} R(19586,73);r(17854) { perp( X, Y
% 3.73/4.15 , Y, X ) }.
% 3.73/4.15 parent0: (23007) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23008) {G2,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol22,
% 3.73/4.15 skol20 ) }.
% 3.73/4.15 parent0[1]: (335) {G1,W10,D2,L2,V2,M2} R(9,124) { ! para( skol23, skol24, X
% 3.73/4.15 , Y ), ! perp( X, Y, skol20, skol22 ) }.
% 3.73/4.15 parent1[0]: (19599) {G22,W5,D2,L1,V2,M1} R(19586,73);r(17854) { perp( X, Y
% 3.73/4.15 , Y, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := skol22
% 3.73/4.15 Y := skol20
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := skol22
% 3.73/4.15 Y := skol20
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (19627) {G23,W5,D2,L1,V0,M1} R(19599,335) { ! para( skol23,
% 3.73/4.15 skol24, skol22, skol20 ) }.
% 3.73/4.15 parent0: (23008) {G2,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol22,
% 3.73/4.15 skol20 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23009) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.73/4.15 , Z, X, Z ) }.
% 3.73/4.15 parent0[0]: (841) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 3.73/4.15 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.73/4.15 parent1[0]: (8342) {G15,W4,D2,L1,V3,M1} R(8328,2);r(8328) { coll( Z, Y, X )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := Y
% 3.73/4.15 Y := X
% 3.73/4.15 Z := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23010) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.73/4.15 parent0[1]: (23009) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.73/4.15 , Z, X, Z ) }.
% 3.73/4.15 parent1[0]: (9737) {G25,W5,D2,L1,V2,M1} R(318,8865) { para( X, Y, X, Y )
% 3.73/4.15 }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := Z
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := X
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := Z
% 3.73/4.15 Y := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (20161) {G26,W5,D2,L1,V3,M1} S(841);r(8342);r(9737) { cyclic(
% 3.73/4.15 Z, Y, X, X ) }.
% 3.73/4.15 parent0: (23010) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := Z
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := X
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23011) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.73/4.15 parent0[0]: (385) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.73/4.15 cyclic( Y, Z, X, T ) }.
% 3.73/4.15 parent1[0]: (20161) {G26,W5,D2,L1,V3,M1} S(841);r(8342);r(9737) { cyclic( Z
% 3.73/4.15 , Y, X, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := Z
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (20180) {G27,W5,D2,L1,V3,M1} R(20161,385) { cyclic( X, Y, Z, Y
% 3.73/4.15 ) }.
% 3.73/4.15 parent0: (23011) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := Z
% 3.73/4.15 Y := X
% 3.73/4.15 Z := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23012) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.73/4.15 parent0[0]: (376) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.73/4.15 cyclic( X, Z, T, Y ) }.
% 3.73/4.15 parent1[0]: (20161) {G26,W5,D2,L1,V3,M1} S(841);r(8342);r(9737) { cyclic( Z
% 3.73/4.15 , Y, X, X ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := Z
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (20182) {G27,W5,D2,L1,V3,M1} R(20161,376) { cyclic( X, Y, Y, Z
% 3.73/4.15 ) }.
% 3.73/4.15 parent0: (23012) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Z
% 3.73/4.15 Z := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23014) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.73/4.15 ( Y, Y, Z, T ) }.
% 3.73/4.15 parent0[2]: (408) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.73/4.15 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.73/4.15 parent1[0]: (20180) {G27,W5,D2,L1,V3,M1} R(20161,385) { cyclic( X, Y, Z, Y
% 3.73/4.15 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Y
% 3.73/4.15 T := Z
% 3.73/4.15 U := T
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := T
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23015) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.73/4.15 parent0[0]: (23014) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.73/4.15 ( Y, Y, Z, T ) }.
% 3.73/4.15 parent1[0]: (20182) {G27,W5,D2,L1,V3,M1} R(20161,376) { cyclic( X, Y, Y, Z
% 3.73/4.15 ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := T
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (20186) {G28,W5,D2,L1,V3,M1} R(20180,408);r(20182) { cyclic( Y
% 3.73/4.15 , Y, Z, T ) }.
% 3.73/4.15 parent0: (23015) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := U
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := T
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23016) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 3.73/4.15 ( X, X, T, Y ) }.
% 3.73/4.15 parent0[0]: (408) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.73/4.15 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.73/4.15 parent1[0]: (20186) {G28,W5,D2,L1,V3,M1} R(20180,408);r(20182) { cyclic( Y
% 3.73/4.15 , Y, Z, T ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := X
% 3.73/4.15 Z := Y
% 3.73/4.15 T := Z
% 3.73/4.15 U := T
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := U
% 3.73/4.15 Y := X
% 3.73/4.15 Z := Y
% 3.73/4.15 T := Z
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23018) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 3.73/4.15 parent0[1]: (23016) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 3.73/4.15 ( X, X, T, Y ) }.
% 3.73/4.15 parent1[0]: (20186) {G28,W5,D2,L1,V3,M1} R(20180,408);r(20182) { cyclic( Y
% 3.73/4.15 , Y, Z, T ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := T
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := U
% 3.73/4.15 Y := X
% 3.73/4.15 Z := T
% 3.73/4.15 T := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (20194) {G29,W5,D2,L1,V4,M1} R(20186,408);r(20186) { cyclic( X
% 3.73/4.15 , Y, Z, T ) }.
% 3.73/4.15 parent0: (23018) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := T
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23021) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 3.73/4.15 , Y, X, Y ) }.
% 3.73/4.15 parent0[0]: (1010) {G2,W15,D2,L3,V3,M3} F(978) { ! cyclic( X, Y, Z, X ), !
% 3.73/4.15 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.73/4.15 parent1[0]: (20194) {G29,W5,D2,L1,V4,M1} R(20186,408);r(20186) { cyclic( X
% 3.73/4.15 , Y, Z, T ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23023) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 3.73/4.15 parent0[0]: (23021) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 3.73/4.15 , Y, X, Y ) }.
% 3.73/4.15 parent1[0]: (20194) {G29,W5,D2,L1,V4,M1} R(20186,408);r(20186) { cyclic( X
% 3.73/4.15 , Y, Z, T ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (21962) {G30,W5,D2,L1,V2,M1} S(1010);r(20194);r(20194) { cong
% 3.73/4.15 ( X, Y, X, Y ) }.
% 3.73/4.15 parent0: (23023) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23024) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 3.73/4.15 X, Y, Z ) }.
% 3.73/4.15 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 3.73/4.15 T, Y, T ), perp( X, Y, Z, T ) }.
% 3.73/4.15 parent1[0]: (21962) {G30,W5,D2,L1,V2,M1} S(1010);r(20194);r(20194) { cong(
% 3.73/4.15 X, Y, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := X
% 3.73/4.15 Z := Y
% 3.73/4.15 T := Z
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23026) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 3.73/4.15 parent0[0]: (23024) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 3.73/4.15 X, Y, Z ) }.
% 3.73/4.15 parent1[0]: (21962) {G30,W5,D2,L1,V2,M1} S(1010);r(20194);r(20194) { cong(
% 3.73/4.15 X, Y, X, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Z
% 3.73/4.15 Z := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (21972) {G31,W5,D2,L1,V3,M1} R(21962,56);r(21962) { perp( X, X
% 3.73/4.15 , Z, Y ) }.
% 3.73/4.15 parent0: (23026) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23027) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 3.73/4.15 X, T, U ) }.
% 3.73/4.15 parent0[0]: (305) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.73/4.15 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 3.73/4.15 parent1[0]: (21972) {G31,W5,D2,L1,V3,M1} R(21962,56);r(21962) { perp( X, X
% 3.73/4.15 , Z, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := X
% 3.73/4.15 Z := Y
% 3.73/4.15 T := Z
% 3.73/4.15 U := T
% 3.73/4.15 W := U
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Z
% 3.73/4.15 Z := Y
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23029) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 3.73/4.15 parent0[1]: (23027) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 3.73/4.15 X, T, U ) }.
% 3.73/4.15 parent1[0]: (21972) {G31,W5,D2,L1,V3,M1} R(21962,56);r(21962) { perp( X, X
% 3.73/4.15 , Z, Y ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := U
% 3.73/4.15 Y := Z
% 3.73/4.15 Z := T
% 3.73/4.15 T := X
% 3.73/4.15 U := Y
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := U
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := X
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (22009) {G32,W5,D2,L1,V4,M1} R(21972,305);r(21972) { para( X,
% 3.73/4.15 Y, Z, T ) }.
% 3.73/4.15 parent0: (23029) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 X := X
% 3.73/4.15 Y := Y
% 3.73/4.15 Z := Z
% 3.73/4.15 T := T
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 0 ==> 0
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 resolution: (23030) {G24,W0,D0,L0,V0,M0} { }.
% 3.73/4.15 parent0[0]: (19627) {G23,W5,D2,L1,V0,M1} R(19599,335) { ! para( skol23,
% 3.73/4.15 skol24, skol22, skol20 ) }.
% 3.73/4.15 parent1[0]: (22009) {G32,W5,D2,L1,V4,M1} R(21972,305);r(21972) { para( X, Y
% 3.73/4.15 , Z, T ) }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 substitution1:
% 3.73/4.15 X := skol23
% 3.73/4.15 Y := skol24
% 3.73/4.15 Z := skol22
% 3.73/4.15 T := skol20
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 subsumption: (22019) {G33,W0,D0,L0,V0,M0} R(22009,19627) { }.
% 3.73/4.15 parent0: (23030) {G24,W0,D0,L0,V0,M0} { }.
% 3.73/4.15 substitution0:
% 3.73/4.15 end
% 3.73/4.15 permutation0:
% 3.73/4.15 end
% 3.73/4.15
% 3.73/4.15 Proof check complete!
% 3.73/4.15
% 3.73/4.15 Memory use:
% 3.73/4.15
% 3.73/4.15 space for terms: 353718
% 3.73/4.15 space for clauses: 1109267
% 3.73/4.15
% 3.73/4.15
% 3.73/4.15 clauses generated: 138729
% 3.73/4.15 clauses kept: 22020
% 3.73/4.15 clauses selected: 2116
% 3.73/4.15 clauses deleted: 7451
% 3.73/4.15 clauses inuse deleted: 717
% 3.73/4.15
% 3.73/4.15 subsentry: 2018113
% 3.73/4.15 literals s-matched: 1408999
% 3.73/4.15 literals matched: 828543
% 3.73/4.15 full subsumption: 345183
% 3.73/4.15
% 3.73/4.15 checksum: 1006878814
% 3.73/4.15
% 3.73/4.15
% 3.73/4.15 Bliksem ended
%------------------------------------------------------------------------------