TSTP Solution File: GEO558+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO558+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:43 EDT 2022
% Result : Theorem 18.26s 18.63s
% Output : Refutation 18.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO558+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.15 % Command : bliksem %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sat Jun 18 17:06:48 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.81/1.23 *** allocated 10000 integers for termspace/termends
% 0.81/1.23 *** allocated 10000 integers for clauses
% 0.81/1.23 *** allocated 10000 integers for justifications
% 0.81/1.23 Bliksem 1.12
% 0.81/1.23
% 0.81/1.23
% 0.81/1.23 Automatic Strategy Selection
% 0.81/1.23
% 0.81/1.23 *** allocated 15000 integers for termspace/termends
% 0.81/1.23
% 0.81/1.23 Clauses:
% 0.81/1.23
% 0.81/1.23 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.81/1.23 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.81/1.23 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.81/1.23 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.81/1.23 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.81/1.23 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.23 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.81/1.23 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.81/1.23 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.23 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.81/1.23 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.81/1.23 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.81/1.23 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.81/1.23 ( X, Y, Z, T ) }.
% 0.81/1.23 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.81/1.23 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.81/1.23 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.81/1.23 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.81/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.81/1.23 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.23 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.81/1.23 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.81/1.23 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.81/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.81/1.23 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.23 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.23 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.23 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.23 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.81/1.23 ( X, Y, Z, T, U, W ) }.
% 0.81/1.23 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.23 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.23 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.23 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.81/1.23 ( X, Y, Z, T, U, W ) }.
% 0.81/1.23 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.81/1.23 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.81/1.23 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.81/1.23 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.81/1.23 T ) }.
% 0.81/1.23 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.81/1.23 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.81/1.23 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.81/1.23 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.81/1.23 ) }.
% 0.81/1.23 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.81/1.23 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.81/1.23 }.
% 0.81/1.23 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.81/1.23 Z, Y ) }.
% 0.81/1.23 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.81/1.23 X, Z ) }.
% 0.81/1.23 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.81/1.23 U ) }.
% 0.81/1.23 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.81/1.23 , Z ), midp( Z, X, Y ) }.
% 0.81/1.23 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.81/1.23 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.81/1.23 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.81/1.23 Z, Y ) }.
% 0.81/1.23 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.81/1.23 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.81/1.23 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.81/1.23 ( Y, X, X, Z ) }.
% 0.81/1.23 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.81/1.23 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.23 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.81/1.23 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.81/1.23 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.81/1.23 , W ) }.
% 0.81/1.23 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.81/1.23 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.81/1.23 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.81/1.23 , Y ) }.
% 0.81/1.23 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.81/1.23 , X, Z, U, Y, Y, T ) }.
% 0.81/1.23 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.81/1.23 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.81/1.23 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.81/1.23 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.81/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.81/1.23 .
% 0.81/1.23 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.81/1.23 ) }.
% 0.81/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.81/1.23 , Z, T ) }.
% 0.81/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.81/1.23 , Z, T ) }.
% 0.81/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.81/1.23 , Z, T ) }.
% 0.81/1.23 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.81/1.23 , W, Z, T ), Z, T ) }.
% 0.81/1.23 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.81/1.23 , Y, Z, T ), X, Y ) }.
% 0.81/1.23 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.81/1.23 , W, Z, T ), Z, T ) }.
% 0.81/1.23 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.23 skol2( X, Y, Z, T ) ) }.
% 0.81/1.23 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.81/1.23 , W, Z, T ), Z, T ) }.
% 0.81/1.23 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.23 skol3( X, Y, Z, T ) ) }.
% 0.81/1.23 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.81/1.23 , T ) }.
% 0.81/1.23 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.81/1.23 ) ) }.
% 0.81/1.23 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.81/1.23 skol5( W, Y, Z, T ) ) }.
% 0.81/1.23 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.81/1.23 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.81/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.81/1.23 , X, T ) }.
% 0.81/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.81/1.23 W, X, Z ) }.
% 0.81/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.81/1.23 , Y, T ) }.
% 0.81/1.23 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.81/1.23 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.81/1.23 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.23 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.81/1.23 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.23 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.81/1.23 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.81/1.23 Z, T ) ) }.
% 0.81/1.23 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.81/1.23 , T ) ) }.
% 0.81/1.23 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.81/1.23 , X, Y ) }.
% 0.81/1.23 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.81/1.23 ) }.
% 0.81/1.23 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.81/1.23 , Y ) }.
% 0.81/1.23 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.81/1.23 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.81/1.23 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.81/1.23 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.81/1.23 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.24/4.62 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.24/4.62 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.24/4.62 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.24/4.62 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.24/4.62 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.24/4.62 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.24/4.62 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.24/4.62 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.24/4.62 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.24/4.62 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.24/4.62 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.24/4.62 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.24/4.62 X, Y, Z ) }.
% 4.24/4.62 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.24/4.62 }.
% 4.24/4.62 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.24/4.62 ) }.
% 4.24/4.62 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.24/4.62 skol17( X, Y ), X, Y ) }.
% 4.24/4.62 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.24/4.62 }.
% 4.24/4.62 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.24/4.62 ) }.
% 4.24/4.62 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.24/4.62 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.24/4.62 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.24/4.62 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.24/4.62 { circle( skol20, skol24, skol25, skol26 ) }.
% 4.24/4.62 { circle( skol20, skol24, skol27, skol28 ) }.
% 4.24/4.62 { coll( skol22, skol24, skol26 ) }.
% 4.24/4.62 { coll( skol22, skol25, skol27 ) }.
% 4.24/4.62 { circle( skol29, skol24, skol25, skol22 ) }.
% 4.24/4.62 { circle( skol30, skol26, skol27, skol22 ) }.
% 4.24/4.62 { circle( skol29, skol24, skol23, skol31 ) }.
% 4.24/4.62 { circle( skol30, skol26, skol23, skol32 ) }.
% 4.24/4.62 { ! perp( skol22, skol23, skol23, skol20 ) }.
% 4.24/4.62
% 4.24/4.62 percentage equality = 0.008746, percentage horn = 0.928000
% 4.24/4.62 This is a problem with some equality
% 4.24/4.62
% 4.24/4.62
% 4.24/4.62
% 4.24/4.62 Options Used:
% 4.24/4.62
% 4.24/4.62 useres = 1
% 4.24/4.62 useparamod = 1
% 4.24/4.62 useeqrefl = 1
% 4.24/4.62 useeqfact = 1
% 4.24/4.62 usefactor = 1
% 4.24/4.62 usesimpsplitting = 0
% 4.24/4.62 usesimpdemod = 5
% 4.24/4.62 usesimpres = 3
% 4.24/4.62
% 4.24/4.62 resimpinuse = 1000
% 4.24/4.62 resimpclauses = 20000
% 4.24/4.62 substype = eqrewr
% 4.24/4.62 backwardsubs = 1
% 4.24/4.62 selectoldest = 5
% 4.24/4.62
% 4.24/4.62 litorderings [0] = split
% 4.24/4.62 litorderings [1] = extend the termordering, first sorting on arguments
% 4.24/4.62
% 4.24/4.62 termordering = kbo
% 4.24/4.62
% 4.24/4.62 litapriori = 0
% 4.24/4.62 termapriori = 1
% 4.24/4.62 litaposteriori = 0
% 4.24/4.62 termaposteriori = 0
% 4.24/4.62 demodaposteriori = 0
% 4.24/4.62 ordereqreflfact = 0
% 4.24/4.62
% 4.24/4.62 litselect = negord
% 4.24/4.62
% 4.24/4.62 maxweight = 15
% 4.24/4.62 maxdepth = 30000
% 4.24/4.62 maxlength = 115
% 4.24/4.62 maxnrvars = 195
% 4.24/4.62 excuselevel = 1
% 4.24/4.62 increasemaxweight = 1
% 4.24/4.62
% 4.24/4.62 maxselected = 10000000
% 4.24/4.62 maxnrclauses = 10000000
% 4.24/4.62
% 4.24/4.62 showgenerated = 0
% 4.24/4.62 showkept = 0
% 4.24/4.62 showselected = 0
% 4.24/4.62 showdeleted = 0
% 4.24/4.62 showresimp = 1
% 4.24/4.62 showstatus = 2000
% 4.24/4.62
% 4.24/4.62 prologoutput = 0
% 4.24/4.62 nrgoals = 5000000
% 4.24/4.62 totalproof = 1
% 4.24/4.62
% 4.24/4.62 Symbols occurring in the translation:
% 4.24/4.62
% 4.24/4.62 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.24/4.62 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 4.24/4.62 ! [4, 1] (w:0, o:41, a:1, s:1, b:0),
% 4.24/4.62 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.24/4.62 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.24/4.62 coll [38, 3] (w:1, o:74, a:1, s:1, b:0),
% 4.24/4.62 para [40, 4] (w:1, o:82, a:1, s:1, b:0),
% 4.24/4.62 perp [43, 4] (w:1, o:83, a:1, s:1, b:0),
% 4.24/4.62 midp [45, 3] (w:1, o:75, a:1, s:1, b:0),
% 4.24/4.62 cong [47, 4] (w:1, o:84, a:1, s:1, b:0),
% 4.24/4.62 circle [48, 4] (w:1, o:85, a:1, s:1, b:0),
% 4.24/4.62 cyclic [49, 4] (w:1, o:86, a:1, s:1, b:0),
% 4.24/4.62 eqangle [54, 8] (w:1, o:101, a:1, s:1, b:0),
% 4.24/4.62 eqratio [57, 8] (w:1, o:102, a:1, s:1, b:0),
% 4.24/4.62 simtri [59, 6] (w:1, o:98, a:1, s:1, b:0),
% 4.24/4.62 contri [60, 6] (w:1, o:99, a:1, s:1, b:0),
% 4.24/4.62 alpha1 [69, 3] (w:1, o:76, a:1, s:1, b:1),
% 4.24/4.62 alpha2 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.24/4.62 skol1 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.24/4.62 skol2 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 4.24/4.62 skol3 [73, 4] (w:1, o:92, a:1, s:1, b:1),
% 4.24/4.62 skol4 [74, 4] (w:1, o:93, a:1, s:1, b:1),
% 4.24/4.62 skol5 [75, 4] (w:1, o:94, a:1, s:1, b:1),
% 4.24/4.62 skol6 [76, 6] (w:1, o:100, a:1, s:1, b:1),
% 18.18/18.63 skol7 [77, 2] (w:1, o:70, a:1, s:1, b:1),
% 18.18/18.63 skol8 [78, 4] (w:1, o:95, a:1, s:1, b:1),
% 18.18/18.63 skol9 [79, 4] (w:1, o:96, a:1, s:1, b:1),
% 18.18/18.63 skol10 [80, 3] (w:1, o:77, a:1, s:1, b:1),
% 18.18/18.63 skol11 [81, 3] (w:1, o:78, a:1, s:1, b:1),
% 18.18/18.63 skol12 [82, 2] (w:1, o:71, a:1, s:1, b:1),
% 18.18/18.63 skol13 [83, 5] (w:1, o:97, a:1, s:1, b:1),
% 18.18/18.63 skol14 [84, 3] (w:1, o:79, a:1, s:1, b:1),
% 18.18/18.63 skol15 [85, 3] (w:1, o:80, a:1, s:1, b:1),
% 18.18/18.63 skol16 [86, 3] (w:1, o:81, a:1, s:1, b:1),
% 18.18/18.63 skol17 [87, 2] (w:1, o:72, a:1, s:1, b:1),
% 18.18/18.63 skol18 [88, 2] (w:1, o:73, a:1, s:1, b:1),
% 18.18/18.63 skol19 [89, 4] (w:1, o:89, a:1, s:1, b:1),
% 18.18/18.63 skol20 [90, 0] (w:1, o:29, a:1, s:1, b:1),
% 18.18/18.63 skol21 [91, 4] (w:1, o:91, a:1, s:1, b:1),
% 18.18/18.63 skol22 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 18.18/18.63 skol23 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 18.18/18.63 skol24 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 18.18/18.63 skol25 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 18.18/18.63 skol26 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 18.18/18.63 skol27 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 18.26/18.63 skol28 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 18.26/18.63 skol29 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 18.26/18.63 skol30 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 18.26/18.63 skol31 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 18.26/18.63 skol32 [102, 0] (w:1, o:40, a:1, s:1, b:1).
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Starting Search:
% 18.26/18.63
% 18.26/18.63 *** allocated 15000 integers for clauses
% 18.26/18.63 *** allocated 22500 integers for clauses
% 18.26/18.63 *** allocated 33750 integers for clauses
% 18.26/18.63 *** allocated 22500 integers for termspace/termends
% 18.26/18.63 *** allocated 50625 integers for clauses
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 75937 integers for clauses
% 18.26/18.63 *** allocated 33750 integers for termspace/termends
% 18.26/18.63 *** allocated 113905 integers for clauses
% 18.26/18.63 *** allocated 50625 integers for termspace/termends
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 21525
% 18.26/18.63 Kept: 2034
% 18.26/18.63 Inuse: 336
% 18.26/18.63 Deleted: 1
% 18.26/18.63 Deletedinuse: 1
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 170857 integers for clauses
% 18.26/18.63 *** allocated 75937 integers for termspace/termends
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 113905 integers for termspace/termends
% 18.26/18.63 *** allocated 256285 integers for clauses
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 44535
% 18.26/18.63 Kept: 4036
% 18.26/18.63 Inuse: 465
% 18.26/18.63 Deleted: 19
% 18.26/18.63 Deletedinuse: 2
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 170857 integers for termspace/termends
% 18.26/18.63 *** allocated 384427 integers for clauses
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 56110
% 18.26/18.63 Kept: 6040
% 18.26/18.63 Inuse: 528
% 18.26/18.63 Deleted: 19
% 18.26/18.63 Deletedinuse: 2
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 74628
% 18.26/18.63 Kept: 8098
% 18.26/18.63 Inuse: 693
% 18.26/18.63 Deleted: 20
% 18.26/18.63 Deletedinuse: 2
% 18.26/18.63
% 18.26/18.63 *** allocated 576640 integers for clauses
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 256285 integers for termspace/termends
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 96933
% 18.26/18.63 Kept: 10202
% 18.26/18.63 Inuse: 793
% 18.26/18.63 Deleted: 29
% 18.26/18.63 Deletedinuse: 6
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 106459
% 18.26/18.63 Kept: 12216
% 18.26/18.63 Inuse: 838
% 18.26/18.63 Deleted: 34
% 18.26/18.63 Deletedinuse: 11
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 864960 integers for clauses
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 125114
% 18.26/18.63 Kept: 14231
% 18.26/18.63 Inuse: 996
% 18.26/18.63 Deleted: 51
% 18.26/18.63 Deletedinuse: 12
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 384427 integers for termspace/termends
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 139030
% 18.26/18.63 Kept: 16231
% 18.26/18.63 Inuse: 1107
% 18.26/18.63 Deleted: 66
% 18.26/18.63 Deletedinuse: 20
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 152821
% 18.26/18.63 Kept: 18246
% 18.26/18.63 Inuse: 1213
% 18.26/18.63 Deleted: 79
% 18.26/18.63 Deletedinuse: 26
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 1297440 integers for clauses
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying clauses:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 168182
% 18.26/18.63 Kept: 20251
% 18.26/18.63 Inuse: 1369
% 18.26/18.63 Deleted: 1712
% 18.26/18.63 Deletedinuse: 39
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 174212
% 18.26/18.63 Kept: 22261
% 18.26/18.63 Inuse: 1423
% 18.26/18.63 Deleted: 1713
% 18.26/18.63 Deletedinuse: 39
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 184836
% 18.26/18.63 Kept: 25528
% 18.26/18.63 Inuse: 1451
% 18.26/18.63 Deleted: 1713
% 18.26/18.63 Deletedinuse: 39
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 576640 integers for termspace/termends
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 204578
% 18.26/18.63 Kept: 28551
% 18.26/18.63 Inuse: 1509
% 18.26/18.63 Deleted: 1723
% 18.26/18.63 Deletedinuse: 47
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 1946160 integers for clauses
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 219100
% 18.26/18.63 Kept: 30750
% 18.26/18.63 Inuse: 1614
% 18.26/18.63 Deleted: 1733
% 18.26/18.63 Deletedinuse: 52
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 230006
% 18.26/18.63 Kept: 32754
% 18.26/18.63 Inuse: 1708
% 18.26/18.63 Deleted: 1737
% 18.26/18.63 Deletedinuse: 53
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 243598
% 18.26/18.63 Kept: 34801
% 18.26/18.63 Inuse: 1824
% 18.26/18.63 Deleted: 1742
% 18.26/18.63 Deletedinuse: 56
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 259538
% 18.26/18.63 Kept: 36815
% 18.26/18.63 Inuse: 1975
% 18.26/18.63 Deleted: 1756
% 18.26/18.63 Deletedinuse: 61
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 279669
% 18.26/18.63 Kept: 38824
% 18.26/18.63 Inuse: 2145
% 18.26/18.63 Deleted: 1773
% 18.26/18.63 Deletedinuse: 69
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying clauses:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 864960 integers for termspace/termends
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 301365
% 18.26/18.63 Kept: 40916
% 18.26/18.63 Inuse: 2289
% 18.26/18.63 Deleted: 5949
% 18.26/18.63 Deletedinuse: 73
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 330500
% 18.26/18.63 Kept: 42923
% 18.26/18.63 Inuse: 2435
% 18.26/18.63 Deleted: 5959
% 18.26/18.63 Deletedinuse: 82
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 *** allocated 2919240 integers for clauses
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 368209
% 18.26/18.63 Kept: 45100
% 18.26/18.63 Inuse: 2537
% 18.26/18.63 Deleted: 5960
% 18.26/18.63 Deletedinuse: 82
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 408487
% 18.26/18.63 Kept: 47107
% 18.26/18.63 Inuse: 2677
% 18.26/18.63 Deleted: 6137
% 18.26/18.63 Deletedinuse: 181
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Intermediate Status:
% 18.26/18.63 Generated: 456165
% 18.26/18.63 Kept: 49108
% 18.26/18.63 Inuse: 2819
% 18.26/18.63 Deleted: 6172
% 18.26/18.63 Deletedinuse: 183
% 18.26/18.63
% 18.26/18.63 Resimplifying inuse:
% 18.26/18.63 Done
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Bliksems!, er is een bewijs:
% 18.26/18.63 % SZS status Theorem
% 18.26/18.63 % SZS output start Refutation
% 18.26/18.63
% 18.26/18.63 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 18.26/18.63 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 18.26/18.63 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 18.26/18.63 , Z, X ) }.
% 18.26/18.63 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 18.26/18.63 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 18.26/18.63 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 18.26/18.63 para( X, Y, Z, T ) }.
% 18.26/18.63 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 18.26/18.63 perp( X, Y, Z, T ) }.
% 18.26/18.63 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 18.26/18.63 }.
% 18.26/18.63 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 18.26/18.63 }.
% 18.26/18.63 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 18.26/18.63 }.
% 18.26/18.63 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 18.26/18.63 ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.26/18.63 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.26/18.63 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 18.26/18.63 , T, U, W ) }.
% 18.26/18.63 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 18.26/18.63 T, X, T, Y ) }.
% 18.26/18.63 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 18.26/18.63 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 18.26/18.63 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 18.26/18.63 , Y, Z, T ) }.
% 18.26/18.63 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 18.26/18.63 perp( X, Y, Y, Z ) }.
% 18.26/18.63 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 18.26/18.63 perp( X, Y, Z, T ) }.
% 18.26/18.63 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 18.26/18.63 alpha1( X, Y, Z ) }.
% 18.26/18.63 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 18.26/18.63 , Z, X ) }.
% 18.26/18.63 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 18.26/18.63 , X, X, Y ) }.
% 18.26/18.63 (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol26 ) }.
% 18.26/18.63 (119) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol27 ) }.
% 18.26/18.63 (121) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol26, skol27, skol22 ) }.
% 18.26/18.63 (124) {G0,W5,D2,L1,V0,M1} I { ! perp( skol22, skol23, skol23, skol20 ) }.
% 18.26/18.63 (125) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 18.26/18.63 (162) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol22, skol26, skol24 ) }.
% 18.26/18.63 (163) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol22, skol27, skol25 ) }.
% 18.26/18.63 (164) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol27, skol22, skol25 ) }.
% 18.26/18.63 (165) {G2,W4,D2,L1,V0,M1} R(1,162) { coll( skol26, skol22, skol24 ) }.
% 18.26/18.63 (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 18.26/18.63 (170) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol27, skol25, skol22 ) }.
% 18.26/18.63 (172) {G3,W4,D2,L1,V0,M1} R(165,0) { coll( skol26, skol24, skol22 ) }.
% 18.26/18.63 (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 18.26/18.63 coll( Z, X, T ) }.
% 18.26/18.63 (193) {G1,W8,D2,L2,V1,M2} R(2,118) { ! coll( skol22, skol24, X ), coll( X,
% 18.26/18.63 skol26, skol22 ) }.
% 18.26/18.63 (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 18.26/18.63 (201) {G4,W4,D2,L1,V0,M1} R(172,1) { coll( skol24, skol26, skol22 ) }.
% 18.26/18.63 (211) {G5,W4,D2,L1,V0,M1} R(196,201) { coll( skol22, skol24, skol22 ) }.
% 18.26/18.63 (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 18.26/18.63 coll( X, Z, T ) }.
% 18.26/18.63 (217) {G4,W4,D2,L1,V0,M1} R(196,170) { coll( skol22, skol27, skol22 ) }.
% 18.26/18.63 (224) {G3,W4,D2,L1,V0,M1} R(196,118) { coll( skol26, skol22, skol26 ) }.
% 18.26/18.63 (225) {G3,W4,D2,L1,V0,M1} R(196,119) { coll( skol27, skol22, skol27 ) }.
% 18.26/18.63 (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 18.26/18.63 (254) {G6,W4,D2,L1,V0,M1} R(211,0) { coll( skol22, skol22, skol24 ) }.
% 18.26/18.63 (255) {G1,W5,D2,L1,V0,M1} R(6,124) { ! perp( skol22, skol23, skol20, skol23
% 18.26/18.63 ) }.
% 18.26/18.63 (257) {G7,W8,D2,L2,V1,M2} R(254,2) { ! coll( skol22, skol22, X ), coll(
% 18.26/18.63 skol24, X, skol22 ) }.
% 18.26/18.63 (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 18.26/18.63 ), ! perp( X, Y, U, W ) }.
% 18.26/18.63 (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 18.26/18.63 ), ! perp( U, W, Z, T ) }.
% 18.26/18.63 (281) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 18.26/18.63 ) }.
% 18.26/18.63 (303) {G5,W4,D2,L1,V0,M1} R(217,0) { coll( skol22, skol22, skol27 ) }.
% 18.26/18.63 (328) {G4,W4,D2,L1,V0,M1} R(224,0) { coll( skol26, skol26, skol22 ) }.
% 18.26/18.63 (330) {G5,W8,D2,L2,V1,M2} R(328,2) { ! coll( skol26, skol26, X ), coll(
% 18.26/18.63 skol22, X, skol26 ) }.
% 18.26/18.63 (334) {G4,W4,D2,L1,V0,M1} R(225,0) { coll( skol27, skol27, skol22 ) }.
% 18.26/18.63 (336) {G5,W8,D2,L2,V1,M2} R(334,2) { ! coll( skol27, skol27, X ), coll(
% 18.26/18.63 skol22, X, skol27 ) }.
% 18.26/18.63 (339) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 18.26/18.63 , T, Y ) }.
% 18.26/18.63 (348) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 18.26/18.63 , X, T ) }.
% 18.26/18.63 (350) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 18.26/18.63 , T, Z ) }.
% 18.26/18.63 (359) {G2,W10,D2,L2,V2,M2} R(255,9) { ! para( skol22, skol23, X, Y ), !
% 18.26/18.63 perp( X, Y, skol20, skol23 ) }.
% 18.26/18.63 (367) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 18.26/18.63 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.26/18.63 (372) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 18.26/18.63 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.26/18.63 (376) {G2,W10,D2,L2,V4,M2} F(367) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 18.26/18.63 , T ) }.
% 18.26/18.63 (380) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 18.26/18.63 (385) {G6,W8,D2,L2,V3,M2} R(380,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 18.26/18.63 (386) {G6,W8,D2,L2,V3,M2} R(380,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 18.26/18.63 (387) {G7,W8,D2,L2,V3,M2} R(385,380) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 18.26/18.63 }.
% 18.26/18.63 (390) {G7,W8,D2,L2,V3,M2} R(386,386) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 18.26/18.63 }.
% 18.26/18.63 (393) {G8,W12,D2,L3,V4,M3} R(390,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 18.26/18.63 , coll( T, Y, X ) }.
% 18.26/18.63 (394) {G9,W8,D2,L2,V3,M2} F(393) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 18.26/18.63 (397) {G10,W8,D2,L2,V3,M2} R(394,390) { coll( X, X, Y ), ! coll( Y, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 (399) {G10,W8,D2,L2,V3,M2} R(394,387) { coll( X, X, Y ), ! coll( Z, Y, X )
% 18.26/18.63 }.
% 18.26/18.63 (549) {G11,W8,D2,L2,V2,M2} R(336,397) { coll( skol22, X, skol27 ), ! coll(
% 18.26/18.63 X, skol27, Y ) }.
% 18.26/18.63 (741) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 18.26/18.63 X, Y, U, W, Z, T ) }.
% 18.26/18.63 (796) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 18.26/18.63 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 18.26/18.63 (871) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.26/18.63 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 18.26/18.63 (903) {G2,W15,D2,L3,V3,M3} F(871) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 18.26/18.63 , Z, Y ), cong( X, Y, X, Y ) }.
% 18.26/18.63 (1440) {G1,W9,D2,L2,V0,M2} R(53,121) { ! coll( skol30, skol26, skol22 ),
% 18.26/18.63 perp( skol26, skol27, skol27, skol22 ) }.
% 18.26/18.63 (2744) {G6,W8,D2,L2,V2,M2} R(330,125) { coll( skol22, X, skol26 ), ! coll(
% 18.26/18.63 X, Y, skol26 ) }.
% 18.26/18.63 (2807) {G7,W8,D2,L2,V2,M2} R(2744,167) { ! coll( X, Y, skol26 ), coll( X,
% 18.26/18.63 skol26, skol22 ) }.
% 18.26/18.63 (2823) {G8,W8,D2,L2,V2,M2} R(2807,125) { coll( X, skol26, skol22 ), ! coll
% 18.26/18.63 ( skol26, Y, X ) }.
% 18.26/18.63 (2840) {G9,W8,D2,L2,V2,M2} R(2823,167) { ! coll( skol26, X, Y ), coll(
% 18.26/18.63 skol26, skol22, Y ) }.
% 18.26/18.63 (4152) {G11,W8,D2,L2,V3,M2} R(97,399) { ! alpha1( X, Y, Z ), coll( X, X, Z
% 18.26/18.63 ) }.
% 18.26/18.63 (4182) {G12,W8,D2,L2,V2,M2} R(4152,2840) { ! alpha1( skol26, X, Y ), coll(
% 18.26/18.63 skol26, skol22, Y ) }.
% 18.26/18.63 (4608) {G13,W8,D2,L2,V2,M2} R(4182,0) { ! alpha1( skol26, X, Y ), coll(
% 18.26/18.63 skol26, Y, skol22 ) }.
% 18.26/18.63 (4660) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol26, skol30 ),
% 18.26/18.63 skol26, skol26, skol30 ) }.
% 18.26/18.63 (7631) {G2,W7,D3,L1,V0,M1} R(4660,7) { perp( skol26, skol30, skol12( skol26
% 18.26/18.63 , skol30 ), skol26 ) }.
% 18.26/18.63 (7642) {G3,W7,D3,L1,V0,M1} R(7631,6) { perp( skol26, skol30, skol26, skol12
% 18.26/18.63 ( skol26, skol30 ) ) }.
% 18.26/18.63 (7652) {G4,W7,D3,L1,V0,M1} R(7642,7) { perp( skol26, skol12( skol26, skol30
% 18.26/18.63 ), skol26, skol30 ) }.
% 18.26/18.63 (7944) {G5,W4,D2,L1,V0,M1} R(7652,96);r(7652) { alpha1( skol26, skol26,
% 18.26/18.63 skol30 ) }.
% 18.26/18.63 (7953) {G14,W4,D2,L1,V0,M1} R(7944,4608) { coll( skol26, skol30, skol22 )
% 18.26/18.63 }.
% 18.26/18.63 (7983) {G15,W4,D2,L1,V0,M1} R(7953,1) { coll( skol30, skol26, skol22 ) }.
% 18.26/18.63 (14256) {G12,W4,D2,L1,V0,M1} R(257,549);r(303) { coll( skol22, skol24,
% 18.26/18.63 skol27 ) }.
% 18.26/18.63 (14315) {G13,W4,D2,L1,V0,M1} R(14256,193) { coll( skol27, skol26, skol22 )
% 18.26/18.63 }.
% 18.26/18.63 (14364) {G14,W4,D2,L1,V0,M1} R(14315,397) { coll( skol26, skol26, skol27 )
% 18.26/18.63 }.
% 18.26/18.63 (20009) {G16,W5,D2,L1,V0,M1} S(1440);r(7983) { perp( skol26, skol27, skol27
% 18.26/18.63 , skol22 ) }.
% 18.26/18.63 (20742) {G17,W5,D2,L1,V0,M1} R(20009,281) { para( skol26, skol27, skol26,
% 18.26/18.63 skol27 ) }.
% 18.26/18.63 (41703) {G18,W9,D2,L1,V2,M1} R(741,20742) { eqangle( X, Y, skol26, skol27,
% 18.26/18.63 X, Y, skol26, skol27 ) }.
% 18.26/18.63 (44575) {G19,W5,D2,L1,V1,M1} R(796,14364);r(41703) { cyclic( X, skol27,
% 18.26/18.63 skol26, skol26 ) }.
% 18.26/18.63 (44730) {G20,W5,D2,L1,V1,M1} R(44575,350) { cyclic( skol27, X, skol26,
% 18.26/18.63 skol26 ) }.
% 18.26/18.63 (44742) {G21,W5,D2,L1,V1,M1} R(44730,376) { cyclic( skol26, X, skol26,
% 18.26/18.63 skol26 ) }.
% 18.26/18.63 (44764) {G22,W5,D2,L1,V1,M1} R(44742,348) { cyclic( skol26, skol26, X,
% 18.26/18.63 skol26 ) }.
% 18.26/18.63 (44765) {G22,W5,D2,L1,V1,M1} R(44742,339) { cyclic( skol26, skol26, skol26
% 18.26/18.63 , X ) }.
% 18.26/18.63 (44770) {G23,W5,D2,L1,V2,M1} R(44764,372);r(44765) { cyclic( skol26, skol26
% 18.26/18.63 , X, Y ) }.
% 18.26/18.63 (45108) {G24,W5,D2,L1,V3,M1} R(44770,372);r(44770) { cyclic( skol26, X, Y,
% 18.26/18.63 Z ) }.
% 18.26/18.63 (45127) {G25,W5,D2,L1,V4,M1} R(45108,372);r(45108) { cyclic( X, Y, Z, T )
% 18.26/18.63 }.
% 18.26/18.63 (50356) {G26,W5,D2,L1,V2,M1} S(903);r(45127);r(45127) { cong( X, Y, X, Y )
% 18.26/18.63 }.
% 18.26/18.63 (50373) {G27,W5,D2,L1,V3,M1} R(50356,56);r(50356) { perp( X, X, Z, Y ) }.
% 18.26/18.63 (50402) {G28,W5,D2,L1,V4,M1} R(50373,272);r(50373) { para( X, Y, Z, T ) }.
% 18.26/18.63 (50424) {G29,W5,D2,L1,V4,M1} R(50373,9);r(50402) { perp( X, Y, T, U ) }.
% 18.26/18.63 (50538) {G30,W0,D0,L0,V0,M0} R(50402,359);r(50424) { }.
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 % SZS output end Refutation
% 18.26/18.63 found a proof!
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Unprocessed initial clauses:
% 18.26/18.63
% 18.26/18.63 (50540) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 18.26/18.63 (50541) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 18.26/18.63 (50542) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 18.26/18.63 ( Y, Z, X ) }.
% 18.26/18.63 (50543) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 18.26/18.63 }.
% 18.26/18.63 (50544) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 18.26/18.63 }.
% 18.26/18.63 (50545) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 18.26/18.63 , para( X, Y, Z, T ) }.
% 18.26/18.63 (50546) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 18.26/18.63 }.
% 18.26/18.63 (50547) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 18.26/18.63 }.
% 18.26/18.63 (50548) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 18.26/18.63 , para( X, Y, Z, T ) }.
% 18.26/18.63 (50549) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 18.26/18.63 , perp( X, Y, Z, T ) }.
% 18.26/18.63 (50550) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 18.26/18.63 (50551) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 18.26/18.63 , circle( T, X, Y, Z ) }.
% 18.26/18.63 (50552) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 18.26/18.63 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 (50553) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 18.26/18.63 ) }.
% 18.26/18.63 (50554) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 18.26/18.63 ) }.
% 18.26/18.63 (50555) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 18.26/18.63 ) }.
% 18.26/18.63 (50556) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 18.26/18.63 T ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 (50557) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.26/18.63 (50558) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.26/18.63 (50559) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.26/18.63 (50560) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.26/18.63 (50561) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.26/18.63 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 18.26/18.63 V1 ) }.
% 18.26/18.63 (50562) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 18.26/18.63 }.
% 18.26/18.63 (50563) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 18.26/18.63 }.
% 18.26/18.63 (50564) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 18.26/18.63 , cong( X, Y, Z, T ) }.
% 18.26/18.63 (50565) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.26/18.63 (50566) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 18.26/18.63 (50567) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 18.26/18.63 (50568) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.26/18.63 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.26/18.63 (50569) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.26/18.63 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 18.26/18.63 V1 ) }.
% 18.26/18.63 (50570) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 18.26/18.63 , Z, T, U, W ) }.
% 18.26/18.63 (50571) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 18.26/18.63 , Z, T, U, W ) }.
% 18.26/18.63 (50572) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 18.26/18.63 , Z, T, U, W ) }.
% 18.26/18.63 (50573) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 18.26/18.63 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 18.26/18.63 (50574) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 18.26/18.63 , Z, T, U, W ) }.
% 18.26/18.63 (50575) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 18.26/18.63 , Z, T, U, W ) }.
% 18.26/18.63 (50576) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 18.26/18.63 , Z, T, U, W ) }.
% 18.26/18.63 (50577) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 18.26/18.63 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 18.26/18.63 (50578) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 18.26/18.63 X, Y, Z, T ) }.
% 18.26/18.63 (50579) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 18.26/18.63 Z, T, U, W ) }.
% 18.26/18.63 (50580) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 18.26/18.63 , T, X, T, Y ) }.
% 18.26/18.63 (50581) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 18.26/18.63 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 (50582) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 18.26/18.63 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 (50583) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 18.26/18.63 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 18.26/18.63 , Y, Z, T ) }.
% 18.26/18.63 (50584) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 18.26/18.63 ( Z, T, X, Y ) }.
% 18.26/18.63 (50585) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 18.26/18.63 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 18.26/18.63 (50586) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 18.26/18.63 X, Y, Z, Y ) }.
% 18.26/18.63 (50587) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 18.26/18.63 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 18.26/18.63 (50588) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 18.26/18.63 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 18.26/18.63 (50589) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 18.26/18.63 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 18.26/18.63 (50590) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 18.26/18.63 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 18.26/18.63 (50591) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 18.26/18.63 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 18.26/18.63 (50592) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 18.26/18.63 cong( X, Z, Y, Z ) }.
% 18.26/18.63 (50593) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 18.26/18.63 perp( X, Y, Y, Z ) }.
% 18.26/18.63 (50594) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 18.26/18.63 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 18.26/18.63 (50595) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 18.26/18.63 cong( Z, X, Z, Y ) }.
% 18.26/18.63 (50596) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 18.26/18.63 , perp( X, Y, Z, T ) }.
% 18.26/18.63 (50597) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 18.26/18.63 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 18.26/18.63 (50598) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 18.26/18.63 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 18.26/18.63 , W ) }.
% 18.26/18.63 (50599) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 18.26/18.63 , X, Z, T, U, T, W ) }.
% 18.26/18.63 (50600) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 18.26/18.63 , Y, Z, T, U, U, W ) }.
% 18.26/18.63 (50601) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 18.26/18.63 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 18.26/18.63 (50602) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 18.26/18.63 , T ) }.
% 18.26/18.63 (50603) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 18.26/18.63 ( X, Z, Y, T ) }.
% 18.26/18.63 (50604) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 18.26/18.63 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 18.26/18.63 (50605) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 18.26/18.63 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 18.26/18.63 (50606) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 18.26/18.63 (50607) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 18.26/18.63 midp( X, Y, Z ) }.
% 18.26/18.63 (50608) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 18.26/18.63 (50609) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 18.26/18.63 (50610) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 18.26/18.63 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 18.26/18.63 (50611) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 18.26/18.63 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 18.26/18.63 (50612) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 18.26/18.63 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 18.26/18.63 (50613) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 18.26/18.63 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 18.26/18.63 (50614) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 18.26/18.63 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 18.26/18.63 (50615) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 18.26/18.63 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 18.26/18.63 (50616) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 18.26/18.63 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 18.26/18.63 (50617) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 18.26/18.63 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 18.26/18.63 (50618) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 18.26/18.63 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 18.26/18.63 (50619) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 18.26/18.63 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 18.26/18.63 (50620) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 18.26/18.63 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 18.26/18.63 (50621) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 18.26/18.63 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 18.26/18.63 (50622) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 18.26/18.63 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 18.26/18.63 (50623) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 18.26/18.63 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 18.26/18.63 (50624) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 18.26/18.63 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 18.26/18.63 (50625) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 18.26/18.63 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 18.26/18.63 , T ) ) }.
% 18.26/18.63 (50626) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 18.26/18.63 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 18.26/18.63 (50627) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 18.26/18.63 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 18.26/18.63 (50628) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 18.26/18.63 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 18.26/18.63 (50629) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 18.26/18.63 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 18.26/18.63 (50630) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 18.26/18.63 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 18.26/18.63 ) }.
% 18.26/18.63 (50631) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 18.26/18.63 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 18.26/18.63 }.
% 18.26/18.63 (50632) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.26/18.63 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 18.26/18.63 (50633) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.26/18.63 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 18.26/18.63 (50634) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.26/18.63 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 18.26/18.63 (50635) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.26/18.63 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 18.26/18.63 (50636) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.26/18.63 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 18.26/18.63 (50637) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.26/18.63 , alpha1( X, Y, Z ) }.
% 18.26/18.63 (50638) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 18.26/18.63 ), Z, X ) }.
% 18.26/18.63 (50639) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 18.26/18.63 , Z ), Z, X ) }.
% 18.26/18.63 (50640) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 18.26/18.63 alpha1( X, Y, Z ) }.
% 18.26/18.63 (50641) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 18.26/18.63 ), X, X, Y ) }.
% 18.26/18.63 (50642) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.26/18.63 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 18.26/18.63 ) ) }.
% 18.26/18.63 (50643) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.26/18.63 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 18.26/18.63 (50644) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.26/18.63 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 18.26/18.63 }.
% 18.26/18.63 (50645) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 18.26/18.63 (50646) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 18.26/18.63 }.
% 18.26/18.63 (50647) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 18.26/18.63 alpha2( X, Y, Z, T ) }.
% 18.26/18.63 (50648) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 18.26/18.63 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 18.26/18.63 (50649) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 18.26/18.63 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 18.26/18.63 (50650) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 18.26/18.63 coll( skol16( W, Y, Z ), Y, Z ) }.
% 18.26/18.63 (50651) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 18.26/18.63 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 18.26/18.63 (50652) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 18.26/18.63 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 18.26/18.63 (50653) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 18.26/18.63 , coll( X, Y, skol18( X, Y ) ) }.
% 18.26/18.63 (50654) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 18.26/18.63 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 18.26/18.63 (50655) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 18.26/18.63 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 18.26/18.63 }.
% 18.26/18.63 (50656) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 18.26/18.63 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 18.26/18.63 }.
% 18.26/18.63 (50657) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol24, skol25, skol26 ) }.
% 18.26/18.63 (50658) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol24, skol27, skol28 ) }.
% 18.26/18.63 (50659) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol26 ) }.
% 18.26/18.63 (50660) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol27 ) }.
% 18.26/18.63 (50661) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol24, skol25, skol22 ) }.
% 18.26/18.63 (50662) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol26, skol27, skol22 ) }.
% 18.26/18.63 (50663) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol24, skol23, skol31 ) }.
% 18.26/18.63 (50664) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol26, skol23, skol32 ) }.
% 18.26/18.63 (50665) {G0,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol23, skol20 ) }.
% 18.26/18.63
% 18.26/18.63
% 18.26/18.63 Total Proof:
% 18.26/18.63
% 18.26/18.63 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 parent0: (50540) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 parent0: (50541) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 18.26/18.63 Z ), coll( Y, Z, X ) }.
% 18.26/18.63 parent0: (50542) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.26/18.63 ), coll( Y, Z, X ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 2
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 18.26/18.63 , T, Z ) }.
% 18.26/18.63 parent0: (50546) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 18.26/18.63 T, Z ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 18.26/18.63 , X, Y ) }.
% 18.26/18.63 parent0: (50547) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.26/18.63 X, Y ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 18.26/18.63 W, Z, T ), para( X, Y, Z, T ) }.
% 18.26/18.63 parent0: (50548) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 18.26/18.63 , Z, T ), para( X, Y, Z, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 U := U
% 18.26/18.63 W := W
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 2
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 18.26/18.63 W, Z, T ), perp( X, Y, Z, T ) }.
% 18.26/18.63 parent0: (50549) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 18.26/18.63 , Z, T ), perp( X, Y, Z, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 U := U
% 18.26/18.63 W := W
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 2
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.26/18.63 X, Y, T, Z ) }.
% 18.26/18.63 parent0: (50553) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.26/18.63 , Y, T, Z ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.26/18.63 X, Z, Y, T ) }.
% 18.26/18.63 parent0: (50554) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.26/18.63 , Z, Y, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.26/18.63 Y, X, Z, T ) }.
% 18.26/18.63 parent0: (50555) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.26/18.63 , X, Z, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.26/18.63 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 parent0: (50556) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 18.26/18.63 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 U := U
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 2
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 18.26/18.63 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.26/18.63 parent0: (50558) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.26/18.63 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 U := U
% 18.26/18.63 W := W
% 18.26/18.63 V0 := V0
% 18.26/18.63 V1 := V1
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 18.26/18.63 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.26/18.63 parent0: (50559) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.26/18.63 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 U := U
% 18.26/18.63 W := W
% 18.26/18.63 V0 := V0
% 18.26/18.63 V1 := V1
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.26/18.63 , Y, U, W, Z, T, U, W ) }.
% 18.26/18.63 parent0: (50579) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 18.26/18.63 Y, U, W, Z, T, U, W ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 U := U
% 18.26/18.63 W := W
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 18.26/18.63 ( Z, X, Z, Y, T, X, T, Y ) }.
% 18.26/18.63 parent0: (50580) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 18.26/18.63 , X, Z, Y, T, X, T, Y ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 18.26/18.63 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 parent0: (50582) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 18.26/18.63 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 2
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 18.26/18.63 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 18.26/18.63 ), cong( X, Y, Z, T ) }.
% 18.26/18.63 parent0: (50583) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 18.26/18.63 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 18.26/18.63 , cong( X, Y, Z, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 U := U
% 18.26/18.63 W := W
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 2
% 18.26/18.63 3 ==> 3
% 18.26/18.63 4 ==> 4
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 18.26/18.63 T, X, Z ), perp( X, Y, Y, Z ) }.
% 18.26/18.63 parent0: (50593) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 18.26/18.63 , X, Z ), perp( X, Y, Y, Z ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 2
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 18.26/18.63 , T, Y, T ), perp( X, Y, Z, T ) }.
% 18.26/18.63 parent0: (50596) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 18.26/18.63 , Y, T ), perp( X, Y, Z, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 2
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 18.26/18.63 , T, X, Z ), alpha1( X, Y, Z ) }.
% 18.26/18.63 parent0: (50637) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 18.26/18.63 , X, Z ), alpha1( X, Y, Z ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 2
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 18.26/18.63 skol11( X, T, Z ), Z, X ) }.
% 18.26/18.63 parent0: (50638) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 18.26/18.63 ( X, T, Z ), Z, X ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 18.26/18.63 skol12( X, Y ), X, X, Y ) }.
% 18.26/18.63 parent0: (50641) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 18.26/18.63 skol12( X, Y ), X, X, Y ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol26 )
% 18.26/18.63 }.
% 18.26/18.63 parent0: (50659) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol26 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol27 )
% 18.26/18.63 }.
% 18.26/18.63 parent0: (50660) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol27 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol26, skol27,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 parent0: (50662) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol26, skol27,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (124) {G0,W5,D2,L1,V0,M1} I { ! perp( skol22, skol23, skol23,
% 18.26/18.63 skol20 ) }.
% 18.26/18.63 parent0: (50665) {G0,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol23,
% 18.26/18.63 skol20 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 factor: (51146) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 18.26/18.63 , Z ), coll( Y, Z, X ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Z
% 18.26/18.63 Z := Z
% 18.26/18.63 T := Y
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (125) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 18.26/18.63 , X ) }.
% 18.26/18.63 parent0: (51146) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51147) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol24 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol26 )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol22
% 18.26/18.63 Y := skol24
% 18.26/18.63 Z := skol26
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (162) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol22, skol26,
% 18.26/18.63 skol24 ) }.
% 18.26/18.63 parent0: (51147) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol24 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51148) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol25 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol27 )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol22
% 18.26/18.63 Y := skol25
% 18.26/18.63 Z := skol27
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (163) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol22, skol27,
% 18.26/18.63 skol25 ) }.
% 18.26/18.63 parent0: (51148) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol25 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51149) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol25 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 parent1[0]: (163) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol22, skol27,
% 18.26/18.63 skol25 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol22
% 18.26/18.63 Y := skol27
% 18.26/18.63 Z := skol25
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (164) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol27, skol22,
% 18.26/18.63 skol25 ) }.
% 18.26/18.63 parent0: (51149) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol25 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51150) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol24 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 parent1[0]: (162) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol22, skol26,
% 18.26/18.63 skol24 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol22
% 18.26/18.63 Y := skol26
% 18.26/18.63 Z := skol24
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (165) {G2,W4,D2,L1,V0,M1} R(1,162) { coll( skol26, skol22,
% 18.26/18.63 skol24 ) }.
% 18.26/18.63 parent0: (51150) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol24 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51152) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 18.26/18.63 ) }.
% 18.26/18.63 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 X := Y
% 18.26/18.63 Y := X
% 18.26/18.63 Z := Z
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 18.26/18.63 , Z, X ) }.
% 18.26/18.63 parent0: (51152) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := Y
% 18.26/18.63 Y := X
% 18.26/18.63 Z := Z
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 1
% 18.26/18.63 1 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51153) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol22 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 parent1[0]: (164) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol27, skol22,
% 18.26/18.63 skol25 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol27
% 18.26/18.63 Y := skol22
% 18.26/18.63 Z := skol25
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (170) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol27, skol25,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 parent0: (51153) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51154) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol22 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 parent1[0]: (165) {G2,W4,D2,L1,V0,M1} R(1,162) { coll( skol26, skol22,
% 18.26/18.63 skol24 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol26
% 18.26/18.63 Y := skol22
% 18.26/18.63 Z := skol24
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (172) {G3,W4,D2,L1,V0,M1} R(165,0) { coll( skol26, skol24,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 parent0: (51154) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51158) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 18.26/18.63 X ), ! coll( Z, T, Y ) }.
% 18.26/18.63 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.26/18.63 ), coll( Y, Z, X ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 X := Z
% 18.26/18.63 Y := X
% 18.26/18.63 Z := Y
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 18.26/18.63 ( X, Y, T ), coll( Z, X, T ) }.
% 18.26/18.63 parent0: (51158) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 18.26/18.63 , ! coll( Z, T, Y ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := Z
% 18.26/18.63 Y := T
% 18.26/18.63 Z := X
% 18.26/18.63 T := Y
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 2
% 18.26/18.63 1 ==> 0
% 18.26/18.63 2 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51161) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol24, X ),
% 18.26/18.63 coll( X, skol26, skol22 ) }.
% 18.26/18.63 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.26/18.63 ), coll( Y, Z, X ) }.
% 18.26/18.63 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol26 )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol22
% 18.26/18.63 Y := X
% 18.26/18.63 Z := skol26
% 18.26/18.63 T := skol24
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (193) {G1,W8,D2,L2,V1,M2} R(2,118) { ! coll( skol22, skol24, X
% 18.26/18.63 ), coll( X, skol26, skol22 ) }.
% 18.26/18.63 parent0: (51161) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol24, X ), coll(
% 18.26/18.63 X, skol26, skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 factor: (51162) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0, 1]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 18.26/18.63 coll( X, Y, T ), coll( Z, X, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := Z
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z
% 18.26/18.63 , X, Z ) }.
% 18.26/18.63 parent0: (51162) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51163) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol22 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.26/18.63 }.
% 18.26/18.63 parent1[0]: (172) {G3,W4,D2,L1,V0,M1} R(165,0) { coll( skol26, skol24,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol26
% 18.26/18.63 Y := skol24
% 18.26/18.63 Z := skol22
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (201) {G4,W4,D2,L1,V0,M1} R(172,1) { coll( skol24, skol26,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 parent0: (51163) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51164) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol22 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 18.26/18.63 X, Z ) }.
% 18.26/18.63 parent1[0]: (201) {G4,W4,D2,L1,V0,M1} R(172,1) { coll( skol24, skol26,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol24
% 18.26/18.63 Y := skol26
% 18.26/18.63 Z := skol22
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (211) {G5,W4,D2,L1,V0,M1} R(196,201) { coll( skol22, skol24,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 parent0: (51164) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51165) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 18.26/18.63 X ), ! coll( Z, T, Y ) }.
% 18.26/18.63 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 18.26/18.63 X, Z ) }.
% 18.26/18.63 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.26/18.63 ), coll( Y, Z, X ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 X := Z
% 18.26/18.63 Y := X
% 18.26/18.63 Z := Y
% 18.26/18.63 T := T
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll
% 18.26/18.63 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 18.26/18.63 parent0: (51165) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 18.26/18.63 , ! coll( Z, T, Y ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := Y
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := X
% 18.26/18.63 T := Z
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 1 ==> 1
% 18.26/18.63 2 ==> 1
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51167) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol22 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 18.26/18.63 X, Z ) }.
% 18.26/18.63 parent1[0]: (170) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol27, skol25,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol27
% 18.26/18.63 Y := skol25
% 18.26/18.63 Z := skol22
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (217) {G4,W4,D2,L1,V0,M1} R(196,170) { coll( skol22, skol27,
% 18.26/18.63 skol22 ) }.
% 18.26/18.63 parent0: (51167) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol22 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51168) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol26 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 18.26/18.63 X, Z ) }.
% 18.26/18.63 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol26 )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol22
% 18.26/18.63 Y := skol24
% 18.26/18.63 Z := skol26
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (224) {G3,W4,D2,L1,V0,M1} R(196,118) { coll( skol26, skol22,
% 18.26/18.63 skol26 ) }.
% 18.26/18.63 parent0: (51168) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol26 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 resolution: (51169) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol27 )
% 18.26/18.63 }.
% 18.26/18.63 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 18.26/18.63 X, Z ) }.
% 18.26/18.63 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol27 )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := skol22
% 18.26/18.63 Y := skol25
% 18.26/18.63 Z := skol27
% 18.26/18.63 end
% 18.26/18.63 substitution1:
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (225) {G3,W4,D2,L1,V0,M1} R(196,119) { coll( skol27, skol22,
% 18.26/18.63 skol27 ) }.
% 18.26/18.63 parent0: (51169) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol27 ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 end
% 18.26/18.63 permutation0:
% 18.26/18.63 0 ==> 0
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 factor: (51170) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 parent0[1, 2]: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), !
% 18.26/18.63 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.63 Z := Z
% 18.26/18.63 T := Y
% 18.26/18.63 end
% 18.26/18.63
% 18.26/18.63 subsumption: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X
% 18.26/18.63 , Z, Y ) }.
% 18.26/18.63 parent0: (51170) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 18.26/18.63 }.
% 18.26/18.63 substitution0:
% 18.26/18.63 X := X
% 18.26/18.63 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51171) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol24 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.64 }.
% 18.26/18.64 parent1[0]: (211) {G5,W4,D2,L1,V0,M1} R(196,201) { coll( skol22, skol24,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol22
% 18.26/18.64 Y := skol24
% 18.26/18.64 Z := skol22
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (254) {G6,W4,D2,L1,V0,M1} R(211,0) { coll( skol22, skol22,
% 18.26/18.64 skol24 ) }.
% 18.26/18.64 parent0: (51171) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol24 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51172) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol20,
% 18.26/18.64 skol23 ) }.
% 18.26/18.64 parent0[0]: (124) {G0,W5,D2,L1,V0,M1} I { ! perp( skol22, skol23, skol23,
% 18.26/18.64 skol20 ) }.
% 18.26/18.64 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 18.26/18.64 T, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := skol22
% 18.26/18.64 Y := skol23
% 18.26/18.64 Z := skol20
% 18.26/18.64 T := skol23
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (255) {G1,W5,D2,L1,V0,M1} R(6,124) { ! perp( skol22, skol23,
% 18.26/18.64 skol20, skol23 ) }.
% 18.26/18.64 parent0: (51172) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol20,
% 18.26/18.64 skol23 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51173) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol22, X ),
% 18.26/18.64 coll( skol24, X, skol22 ) }.
% 18.26/18.64 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.26/18.64 ), coll( Y, Z, X ) }.
% 18.26/18.64 parent1[0]: (254) {G6,W4,D2,L1,V0,M1} R(211,0) { coll( skol22, skol22,
% 18.26/18.64 skol24 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol22
% 18.26/18.64 Y := skol24
% 18.26/18.64 Z := X
% 18.26/18.64 T := skol22
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (257) {G7,W8,D2,L2,V1,M2} R(254,2) { ! coll( skol22, skol22, X
% 18.26/18.64 ), coll( skol24, X, skol22 ) }.
% 18.26/18.64 parent0: (51173) {G1,W8,D2,L2,V1,M2} { ! coll( skol22, skol22, X ), coll(
% 18.26/18.64 skol24, X, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51175) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 18.26/18.64 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 18.26/18.64 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 18.26/18.64 , Z, T ), para( X, Y, Z, T ) }.
% 18.26/18.64 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.26/18.64 X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := U
% 18.26/18.64 T := W
% 18.26/18.64 U := Z
% 18.26/18.64 W := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := Z
% 18.26/18.64 Y := T
% 18.26/18.64 Z := X
% 18.26/18.64 T := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 18.26/18.64 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 18.26/18.64 parent0: (51175) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 18.26/18.64 U, W ), ! perp( Z, T, X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := U
% 18.26/18.64 Y := W
% 18.26/18.64 Z := X
% 18.26/18.64 T := Y
% 18.26/18.64 U := Z
% 18.26/18.64 W := T
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 2 ==> 2
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51180) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 18.26/18.64 Y, U, W ), ! perp( U, W, Z, T ) }.
% 18.26/18.64 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 18.26/18.64 , Z, T ), para( X, Y, Z, T ) }.
% 18.26/18.64 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.26/18.64 X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := U
% 18.26/18.64 T := W
% 18.26/18.64 U := Z
% 18.26/18.64 W := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := U
% 18.26/18.64 Y := W
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 18.26/18.64 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 18.26/18.64 parent0: (51180) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 18.26/18.64 U, W ), ! perp( U, W, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 U := U
% 18.26/18.64 W := W
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 2 ==> 2
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 factor: (51183) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 18.26/18.64 , Y ) }.
% 18.26/18.64 parent0[0, 2]: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 18.26/18.64 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 U := X
% 18.26/18.64 W := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (281) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para
% 18.26/18.64 ( X, Y, X, Y ) }.
% 18.26/18.64 parent0: (51183) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 18.26/18.64 X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51184) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol27 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.64 }.
% 18.26/18.64 parent1[0]: (217) {G4,W4,D2,L1,V0,M1} R(196,170) { coll( skol22, skol27,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol22
% 18.26/18.64 Y := skol27
% 18.26/18.64 Z := skol22
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (303) {G5,W4,D2,L1,V0,M1} R(217,0) { coll( skol22, skol22,
% 18.26/18.64 skol27 ) }.
% 18.26/18.64 parent0: (51184) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51185) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol22 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.64 }.
% 18.26/18.64 parent1[0]: (224) {G3,W4,D2,L1,V0,M1} R(196,118) { coll( skol26, skol22,
% 18.26/18.64 skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol22
% 18.26/18.64 Z := skol26
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (328) {G4,W4,D2,L1,V0,M1} R(224,0) { coll( skol26, skol26,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 parent0: (51185) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51186) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ),
% 18.26/18.64 coll( skol22, X, skol26 ) }.
% 18.26/18.64 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.26/18.64 ), coll( Y, Z, X ) }.
% 18.26/18.64 parent1[0]: (328) {G4,W4,D2,L1,V0,M1} R(224,0) { coll( skol26, skol26,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol22
% 18.26/18.64 Z := X
% 18.26/18.64 T := skol26
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (330) {G5,W8,D2,L2,V1,M2} R(328,2) { ! coll( skol26, skol26, X
% 18.26/18.64 ), coll( skol22, X, skol26 ) }.
% 18.26/18.64 parent0: (51186) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ), coll(
% 18.26/18.64 skol22, X, skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51188) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol22 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.64 }.
% 18.26/18.64 parent1[0]: (225) {G3,W4,D2,L1,V0,M1} R(196,119) { coll( skol27, skol22,
% 18.26/18.64 skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol27
% 18.26/18.64 Y := skol22
% 18.26/18.64 Z := skol27
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (334) {G4,W4,D2,L1,V0,M1} R(225,0) { coll( skol27, skol27,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 parent0: (51188) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51189) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ),
% 18.26/18.64 coll( skol22, X, skol27 ) }.
% 18.26/18.64 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.26/18.64 ), coll( Y, Z, X ) }.
% 18.26/18.64 parent1[0]: (334) {G4,W4,D2,L1,V0,M1} R(225,0) { coll( skol27, skol27,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol27
% 18.26/18.64 Y := skol22
% 18.26/18.64 Z := X
% 18.26/18.64 T := skol27
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (336) {G5,W8,D2,L2,V1,M2} R(334,2) { ! coll( skol27, skol27, X
% 18.26/18.64 ), coll( skol22, X, skol27 ) }.
% 18.26/18.64 parent0: (51189) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ), coll(
% 18.26/18.64 skol22, X, skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51192) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 18.26/18.64 ( X, Z, Y, T ) }.
% 18.26/18.64 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.26/18.64 , Y, T, Z ) }.
% 18.26/18.64 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.26/18.64 , Z, Y, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := Y
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (339) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 18.26/18.64 cyclic( X, Z, T, Y ) }.
% 18.26/18.64 parent0: (51192) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 18.26/18.64 , Z, Y, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := Y
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51193) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 18.26/18.64 ( X, Z, Y, T ) }.
% 18.26/18.64 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.26/18.64 , X, Z, T ) }.
% 18.26/18.64 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.26/18.64 , Z, Y, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := Y
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (348) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 18.26/18.64 cyclic( Y, Z, X, T ) }.
% 18.26/18.64 parent0: (51193) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 18.26/18.64 , Z, Y, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51194) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 18.26/18.64 ( X, Y, T, Z ) }.
% 18.26/18.64 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.26/18.64 , X, Z, T ) }.
% 18.26/18.64 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.26/18.64 , Y, T, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := T
% 18.26/18.64 T := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (350) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 18.26/18.64 cyclic( Y, X, T, Z ) }.
% 18.26/18.64 parent0: (51194) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 18.26/18.64 , Y, T, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51195) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol23, X, Y )
% 18.26/18.64 , ! perp( X, Y, skol20, skol23 ) }.
% 18.26/18.64 parent0[0]: (255) {G1,W5,D2,L1,V0,M1} R(6,124) { ! perp( skol22, skol23,
% 18.26/18.64 skol20, skol23 ) }.
% 18.26/18.64 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 18.26/18.64 , Z, T ), perp( X, Y, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := skol22
% 18.26/18.64 Y := skol23
% 18.26/18.64 Z := skol20
% 18.26/18.64 T := skol23
% 18.26/18.64 U := X
% 18.26/18.64 W := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (359) {G2,W10,D2,L2,V2,M2} R(255,9) { ! para( skol22, skol23,
% 18.26/18.64 X, Y ), ! perp( X, Y, skol20, skol23 ) }.
% 18.26/18.64 parent0: (51195) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol23, X, Y ), !
% 18.26/18.64 perp( X, Y, skol20, skol23 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51199) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 18.26/18.64 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 18.26/18.64 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.26/18.64 , X, Z, T ) }.
% 18.26/18.64 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.26/18.64 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 U := U
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (367) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 18.26/18.64 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.26/18.64 parent0: (51199) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 18.26/18.64 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := T
% 18.26/18.64 T := U
% 18.26/18.64 U := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 2
% 18.26/18.64 1 ==> 0
% 18.26/18.64 2 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51202) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 18.26/18.64 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.26/18.64 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.26/18.64 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.26/18.64 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.26/18.64 , Y, T, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := T
% 18.26/18.64 T := U
% 18.26/18.64 U := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := U
% 18.26/18.64 T := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (372) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.26/18.64 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.26/18.64 parent0: (51202) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.26/18.64 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 U := U
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 2 ==> 2
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 factor: (51204) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 18.26/18.64 Y, T, T ) }.
% 18.26/18.64 parent0[0, 1]: (367) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 18.26/18.64 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 U := T
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (376) {G2,W10,D2,L2,V4,M2} F(367) { ! cyclic( X, Y, Z, T ),
% 18.26/18.64 cyclic( Z, Y, T, T ) }.
% 18.26/18.64 parent0: (51204) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 18.26/18.64 , Y, T, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51206) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 18.26/18.64 ) }.
% 18.26/18.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.26/18.64 }.
% 18.26/18.64 parent1[0]: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X,
% 18.26/18.64 Z, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (380) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll(
% 18.26/18.64 Z, X, X ) }.
% 18.26/18.64 parent0: (51206) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51207) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 18.26/18.64 ) }.
% 18.26/18.64 parent0[0]: (380) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 18.26/18.64 , X, X ) }.
% 18.26/18.64 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (385) {G6,W8,D2,L2,V3,M2} R(380,1) { coll( X, Y, Y ), ! coll(
% 18.26/18.64 Z, Y, X ) }.
% 18.26/18.64 parent0: (51207) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51208) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 18.26/18.64 ) }.
% 18.26/18.64 parent0[0]: (380) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 18.26/18.64 , X, X ) }.
% 18.26/18.64 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (386) {G6,W8,D2,L2,V3,M2} R(380,0) { coll( X, Y, Y ), ! coll(
% 18.26/18.64 Y, X, Z ) }.
% 18.26/18.64 parent0: (51208) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51210) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 18.26/18.64 ) }.
% 18.26/18.64 parent0[0]: (380) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 18.26/18.64 , X, X ) }.
% 18.26/18.64 parent1[0]: (385) {G6,W8,D2,L2,V3,M2} R(380,1) { coll( X, Y, Y ), ! coll( Z
% 18.26/18.64 , Y, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (387) {G7,W8,D2,L2,V3,M2} R(385,380) { ! coll( X, Y, Z ), coll
% 18.26/18.64 ( Y, Z, Z ) }.
% 18.26/18.64 parent0: (51210) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Z
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51211) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 18.26/18.64 ) }.
% 18.26/18.64 parent0[1]: (386) {G6,W8,D2,L2,V3,M2} R(380,0) { coll( X, Y, Y ), ! coll( Y
% 18.26/18.64 , X, Z ) }.
% 18.26/18.64 parent1[0]: (386) {G6,W8,D2,L2,V3,M2} R(380,0) { coll( X, Y, Y ), ! coll( Y
% 18.26/18.64 , X, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (390) {G7,W8,D2,L2,V3,M2} R(386,386) { ! coll( X, Y, Z ), coll
% 18.26/18.64 ( X, Y, Y ) }.
% 18.26/18.64 parent0: (51211) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51215) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 18.26/18.64 X ), ! coll( X, Y, T ) }.
% 18.26/18.64 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.26/18.64 ), coll( Y, Z, X ) }.
% 18.26/18.64 parent1[1]: (390) {G7,W8,D2,L2,V3,M2} R(386,386) { ! coll( X, Y, Z ), coll
% 18.26/18.64 ( X, Y, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := Y
% 18.26/18.64 T := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := T
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (393) {G8,W12,D2,L3,V4,M3} R(390,2) { ! coll( X, Y, Z ), !
% 18.26/18.64 coll( X, Y, T ), coll( T, Y, X ) }.
% 18.26/18.64 parent0: (51215) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 18.26/18.64 , ! coll( X, Y, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := T
% 18.26/18.64 T := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 2
% 18.26/18.64 2 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 factor: (51218) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0, 1]: (393) {G8,W12,D2,L3,V4,M3} R(390,2) { ! coll( X, Y, Z ), !
% 18.26/18.64 coll( X, Y, T ), coll( T, Y, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (394) {G9,W8,D2,L2,V3,M2} F(393) { ! coll( X, Y, Z ), coll( Z
% 18.26/18.64 , Y, X ) }.
% 18.26/18.64 parent0: (51218) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51219) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 18.26/18.64 ) }.
% 18.26/18.64 parent0[0]: (394) {G9,W8,D2,L2,V3,M2} F(393) { ! coll( X, Y, Z ), coll( Z,
% 18.26/18.64 Y, X ) }.
% 18.26/18.64 parent1[1]: (390) {G7,W8,D2,L2,V3,M2} R(386,386) { ! coll( X, Y, Z ), coll
% 18.26/18.64 ( X, Y, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (397) {G10,W8,D2,L2,V3,M2} R(394,390) { coll( X, X, Y ), !
% 18.26/18.64 coll( Y, X, Z ) }.
% 18.26/18.64 parent0: (51219) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51220) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 18.26/18.64 ) }.
% 18.26/18.64 parent0[0]: (394) {G9,W8,D2,L2,V3,M2} F(393) { ! coll( X, Y, Z ), coll( Z,
% 18.26/18.64 Y, X ) }.
% 18.26/18.64 parent1[1]: (387) {G7,W8,D2,L2,V3,M2} R(385,380) { ! coll( X, Y, Z ), coll
% 18.26/18.64 ( Y, Z, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := Z
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (399) {G10,W8,D2,L2,V3,M2} R(394,387) { coll( X, X, Y ), !
% 18.26/18.64 coll( Z, Y, X ) }.
% 18.26/18.64 parent0: (51220) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51221) {G6,W8,D2,L2,V2,M2} { coll( skol22, X, skol27 ), !
% 18.26/18.64 coll( X, skol27, Y ) }.
% 18.26/18.64 parent0[0]: (336) {G5,W8,D2,L2,V1,M2} R(334,2) { ! coll( skol27, skol27, X
% 18.26/18.64 ), coll( skol22, X, skol27 ) }.
% 18.26/18.64 parent1[0]: (397) {G10,W8,D2,L2,V3,M2} R(394,390) { coll( X, X, Y ), ! coll
% 18.26/18.64 ( Y, X, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := skol27
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (549) {G11,W8,D2,L2,V2,M2} R(336,397) { coll( skol22, X,
% 18.26/18.64 skol27 ), ! coll( X, skol27, Y ) }.
% 18.26/18.64 parent0: (51221) {G6,W8,D2,L2,V2,M2} { coll( skol22, X, skol27 ), ! coll(
% 18.26/18.64 X, skol27, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51222) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 18.26/18.64 ), ! para( X, Y, U, W ) }.
% 18.26/18.64 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.26/18.64 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.26/18.64 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.26/18.64 , Y, U, W, Z, T, U, W ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 U := U
% 18.26/18.64 W := W
% 18.26/18.64 V0 := Z
% 18.26/18.64 V1 := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := U
% 18.26/18.64 T := W
% 18.26/18.64 U := Z
% 18.26/18.64 W := T
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (741) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 18.26/18.64 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 18.26/18.64 parent0: (51222) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 18.26/18.64 , ! para( X, Y, U, W ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := U
% 18.26/18.64 T := W
% 18.26/18.64 U := Z
% 18.26/18.64 W := T
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51223) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 18.26/18.64 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 18.26/18.64 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 18.26/18.64 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.26/18.64 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.26/18.64 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := X
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := T
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := T
% 18.26/18.64 T := Z
% 18.26/18.64 U := X
% 18.26/18.64 W := Y
% 18.26/18.64 V0 := X
% 18.26/18.64 V1 := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (796) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 18.26/18.64 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 18.26/18.64 parent0: (51223) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 18.26/18.64 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := T
% 18.26/18.64 Z := Z
% 18.26/18.64 T := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 2 ==> 2
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51224) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 18.26/18.64 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 18.26/18.64 cyclic( X, Y, Z, T ) }.
% 18.26/18.64 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 18.26/18.64 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 18.26/18.64 ), cong( X, Y, Z, T ) }.
% 18.26/18.64 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 18.26/18.64 Z, X, Z, Y, T, X, T, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := X
% 18.26/18.64 T := Y
% 18.26/18.64 U := Z
% 18.26/18.64 W := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 factor: (51226) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.26/18.64 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 18.26/18.64 parent0[0, 2]: (51224) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 18.26/18.64 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 18.26/18.64 cyclic( X, Y, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (871) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 18.26/18.64 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 18.26/18.64 parent0: (51226) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 18.26/18.64 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 2 ==> 3
% 18.26/18.64 3 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 factor: (51231) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.26/18.64 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.26/18.64 parent0[0, 2]: (871) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 18.26/18.64 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (903) {G2,W15,D2,L3,V3,M3} F(871) { ! cyclic( X, Y, Z, X ), !
% 18.26/18.64 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.26/18.64 parent0: (51231) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 18.26/18.64 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 2 ==> 2
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51233) {G1,W9,D2,L2,V0,M2} { ! coll( skol30, skol26, skol22 )
% 18.26/18.64 , perp( skol26, skol27, skol27, skol22 ) }.
% 18.26/18.64 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 18.26/18.64 , X, Z ), perp( X, Y, Y, Z ) }.
% 18.26/18.64 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol26, skol27,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol27
% 18.26/18.64 Z := skol22
% 18.26/18.64 T := skol30
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (1440) {G1,W9,D2,L2,V0,M2} R(53,121) { ! coll( skol30, skol26
% 18.26/18.64 , skol22 ), perp( skol26, skol27, skol27, skol22 ) }.
% 18.26/18.64 parent0: (51233) {G1,W9,D2,L2,V0,M2} { ! coll( skol30, skol26, skol22 ),
% 18.26/18.64 perp( skol26, skol27, skol27, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51234) {G2,W8,D2,L2,V2,M2} { coll( skol22, X, skol26 ), !
% 18.26/18.64 coll( X, Y, skol26 ) }.
% 18.26/18.64 parent0[0]: (330) {G5,W8,D2,L2,V1,M2} R(328,2) { ! coll( skol26, skol26, X
% 18.26/18.64 ), coll( skol22, X, skol26 ) }.
% 18.26/18.64 parent1[1]: (125) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 18.26/18.64 , X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := skol26
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (2744) {G6,W8,D2,L2,V2,M2} R(330,125) { coll( skol22, X,
% 18.26/18.64 skol26 ), ! coll( X, Y, skol26 ) }.
% 18.26/18.64 parent0: (51234) {G2,W8,D2,L2,V2,M2} { coll( skol22, X, skol26 ), ! coll(
% 18.26/18.64 X, Y, skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51236) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol22 ), !
% 18.26/18.64 coll( X, Y, skol26 ) }.
% 18.26/18.64 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 18.26/18.64 Z, X ) }.
% 18.26/18.64 parent1[0]: (2744) {G6,W8,D2,L2,V2,M2} R(330,125) { coll( skol22, X, skol26
% 18.26/18.64 ), ! coll( X, Y, skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol22
% 18.26/18.64 Y := X
% 18.26/18.64 Z := skol26
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (2807) {G7,W8,D2,L2,V2,M2} R(2744,167) { ! coll( X, Y, skol26
% 18.26/18.64 ), coll( X, skol26, skol22 ) }.
% 18.26/18.64 parent0: (51236) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol22 ), ! coll(
% 18.26/18.64 X, Y, skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51237) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol22 ), !
% 18.26/18.64 coll( skol26, Y, X ) }.
% 18.26/18.64 parent0[0]: (2807) {G7,W8,D2,L2,V2,M2} R(2744,167) { ! coll( X, Y, skol26 )
% 18.26/18.64 , coll( X, skol26, skol22 ) }.
% 18.26/18.64 parent1[1]: (125) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 18.26/18.64 , X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (2823) {G8,W8,D2,L2,V2,M2} R(2807,125) { coll( X, skol26,
% 18.26/18.64 skol22 ), ! coll( skol26, Y, X ) }.
% 18.26/18.64 parent0: (51237) {G2,W8,D2,L2,V2,M2} { coll( X, skol26, skol22 ), ! coll(
% 18.26/18.64 skol26, Y, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 1 ==> 1
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51239) {G2,W8,D2,L2,V2,M2} { coll( skol26, skol22, X ), !
% 18.26/18.64 coll( skol26, Y, X ) }.
% 18.26/18.64 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 18.26/18.64 Z, X ) }.
% 18.26/18.64 parent1[0]: (2823) {G8,W8,D2,L2,V2,M2} R(2807,125) { coll( X, skol26,
% 18.26/18.64 skol22 ), ! coll( skol26, Y, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := skol26
% 18.26/18.64 Z := skol22
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (2840) {G9,W8,D2,L2,V2,M2} R(2823,167) { ! coll( skol26, X, Y
% 18.26/18.64 ), coll( skol26, skol22, Y ) }.
% 18.26/18.64 parent0: (51239) {G2,W8,D2,L2,V2,M2} { coll( skol26, skol22, X ), ! coll(
% 18.26/18.64 skol26, Y, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51240) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T
% 18.26/18.64 , Y ) }.
% 18.26/18.64 parent0[1]: (399) {G10,W8,D2,L2,V3,M2} R(394,387) { coll( X, X, Y ), ! coll
% 18.26/18.64 ( Z, Y, X ) }.
% 18.26/18.64 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 18.26/18.64 ( X, T, Z ), Z, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := skol11( X, Z, Y )
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := T
% 18.26/18.64 Z := Y
% 18.26/18.64 T := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (4152) {G11,W8,D2,L2,V3,M2} R(97,399) { ! alpha1( X, Y, Z ),
% 18.26/18.64 coll( X, X, Z ) }.
% 18.26/18.64 parent0: (51240) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T, Y
% 18.26/18.64 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := T
% 18.26/18.64 T := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51241) {G10,W8,D2,L2,V2,M2} { coll( skol26, skol22, X ), !
% 18.26/18.64 alpha1( skol26, Y, X ) }.
% 18.26/18.64 parent0[0]: (2840) {G9,W8,D2,L2,V2,M2} R(2823,167) { ! coll( skol26, X, Y )
% 18.26/18.64 , coll( skol26, skol22, Y ) }.
% 18.26/18.64 parent1[1]: (4152) {G11,W8,D2,L2,V3,M2} R(97,399) { ! alpha1( X, Y, Z ),
% 18.26/18.64 coll( X, X, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (4182) {G12,W8,D2,L2,V2,M2} R(4152,2840) { ! alpha1( skol26, X
% 18.26/18.64 , Y ), coll( skol26, skol22, Y ) }.
% 18.26/18.64 parent0: (51241) {G10,W8,D2,L2,V2,M2} { coll( skol26, skol22, X ), !
% 18.26/18.64 alpha1( skol26, Y, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51242) {G1,W8,D2,L2,V2,M2} { coll( skol26, X, skol22 ), !
% 18.26/18.64 alpha1( skol26, Y, X ) }.
% 18.26/18.64 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.26/18.64 }.
% 18.26/18.64 parent1[1]: (4182) {G12,W8,D2,L2,V2,M2} R(4152,2840) { ! alpha1( skol26, X
% 18.26/18.64 , Y ), coll( skol26, skol22, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol22
% 18.26/18.64 Z := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (4608) {G13,W8,D2,L2,V2,M2} R(4182,0) { ! alpha1( skol26, X, Y
% 18.26/18.64 ), coll( skol26, Y, skol22 ) }.
% 18.26/18.64 parent0: (51242) {G1,W8,D2,L2,V2,M2} { coll( skol26, X, skol22 ), ! alpha1
% 18.26/18.64 ( skol26, Y, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := Y
% 18.26/18.64 Y := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 1
% 18.26/18.64 1 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51243) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol30 ),
% 18.26/18.64 skol26, skol26, skol30 ) }.
% 18.26/18.64 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 18.26/18.64 skol12( X, Y ), X, X, Y ) }.
% 18.26/18.64 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { circle( skol30, skol26, skol27,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol30
% 18.26/18.64 Z := skol27
% 18.26/18.64 T := skol22
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (4660) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol26,
% 18.26/18.64 skol30 ), skol26, skol26, skol30 ) }.
% 18.26/18.64 parent0: (51243) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol30 ),
% 18.26/18.64 skol26, skol26, skol30 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51244) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol30, skol12(
% 18.26/18.64 skol26, skol30 ), skol26 ) }.
% 18.26/18.64 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.26/18.64 X, Y ) }.
% 18.26/18.64 parent1[0]: (4660) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol26,
% 18.26/18.64 skol30 ), skol26, skol26, skol30 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol12( skol26, skol30 )
% 18.26/18.64 Y := skol26
% 18.26/18.64 Z := skol26
% 18.26/18.64 T := skol30
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (7631) {G2,W7,D3,L1,V0,M1} R(4660,7) { perp( skol26, skol30,
% 18.26/18.64 skol12( skol26, skol30 ), skol26 ) }.
% 18.26/18.64 parent0: (51244) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol30, skol12(
% 18.26/18.64 skol26, skol30 ), skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51245) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol30, skol26,
% 18.26/18.64 skol12( skol26, skol30 ) ) }.
% 18.26/18.64 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 18.26/18.64 T, Z ) }.
% 18.26/18.64 parent1[0]: (7631) {G2,W7,D3,L1,V0,M1} R(4660,7) { perp( skol26, skol30,
% 18.26/18.64 skol12( skol26, skol30 ), skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol30
% 18.26/18.64 Z := skol12( skol26, skol30 )
% 18.26/18.64 T := skol26
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (7642) {G3,W7,D3,L1,V0,M1} R(7631,6) { perp( skol26, skol30,
% 18.26/18.64 skol26, skol12( skol26, skol30 ) ) }.
% 18.26/18.64 parent0: (51245) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol30, skol26,
% 18.26/18.64 skol12( skol26, skol30 ) ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51246) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 18.26/18.64 skol30 ), skol26, skol30 ) }.
% 18.26/18.64 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.26/18.64 X, Y ) }.
% 18.26/18.64 parent1[0]: (7642) {G3,W7,D3,L1,V0,M1} R(7631,6) { perp( skol26, skol30,
% 18.26/18.64 skol26, skol12( skol26, skol30 ) ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol30
% 18.26/18.64 Z := skol26
% 18.26/18.64 T := skol12( skol26, skol30 )
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (7652) {G4,W7,D3,L1,V0,M1} R(7642,7) { perp( skol26, skol12(
% 18.26/18.64 skol26, skol30 ), skol26, skol30 ) }.
% 18.26/18.64 parent0: (51246) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 18.26/18.64 skol30 ), skol26, skol30 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51247) {G1,W11,D3,L2,V0,M2} { ! perp( skol26, skol12( skol26
% 18.26/18.64 , skol30 ), skol26, skol30 ), alpha1( skol26, skol26, skol30 ) }.
% 18.26/18.64 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 18.26/18.64 T, X, Z ), alpha1( X, Y, Z ) }.
% 18.26/18.64 parent1[0]: (7652) {G4,W7,D3,L1,V0,M1} R(7642,7) { perp( skol26, skol12(
% 18.26/18.64 skol26, skol30 ), skol26, skol30 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol26
% 18.26/18.64 Z := skol30
% 18.26/18.64 T := skol12( skol26, skol30 )
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51248) {G2,W4,D2,L1,V0,M1} { alpha1( skol26, skol26, skol30 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (51247) {G1,W11,D3,L2,V0,M2} { ! perp( skol26, skol12( skol26
% 18.26/18.64 , skol30 ), skol26, skol30 ), alpha1( skol26, skol26, skol30 ) }.
% 18.26/18.64 parent1[0]: (7652) {G4,W7,D3,L1,V0,M1} R(7642,7) { perp( skol26, skol12(
% 18.26/18.64 skol26, skol30 ), skol26, skol30 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (7944) {G5,W4,D2,L1,V0,M1} R(7652,96);r(7652) { alpha1( skol26
% 18.26/18.64 , skol26, skol30 ) }.
% 18.26/18.64 parent0: (51248) {G2,W4,D2,L1,V0,M1} { alpha1( skol26, skol26, skol30 )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51249) {G6,W4,D2,L1,V0,M1} { coll( skol26, skol30, skol22 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (4608) {G13,W8,D2,L2,V2,M2} R(4182,0) { ! alpha1( skol26, X, Y
% 18.26/18.64 ), coll( skol26, Y, skol22 ) }.
% 18.26/18.64 parent1[0]: (7944) {G5,W4,D2,L1,V0,M1} R(7652,96);r(7652) { alpha1( skol26
% 18.26/18.64 , skol26, skol30 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol30
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (7953) {G14,W4,D2,L1,V0,M1} R(7944,4608) { coll( skol26,
% 18.26/18.64 skol30, skol22 ) }.
% 18.26/18.64 parent0: (51249) {G6,W4,D2,L1,V0,M1} { coll( skol26, skol30, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51250) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol26, skol22 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.26/18.64 }.
% 18.26/18.64 parent1[0]: (7953) {G14,W4,D2,L1,V0,M1} R(7944,4608) { coll( skol26, skol30
% 18.26/18.64 , skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol30
% 18.26/18.64 Z := skol22
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (7983) {G15,W4,D2,L1,V0,M1} R(7953,1) { coll( skol30, skol26,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 parent0: (51250) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol26, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51252) {G8,W8,D2,L2,V0,M2} { coll( skol22, skol24, skol27 ),
% 18.26/18.64 ! coll( skol22, skol22, skol27 ) }.
% 18.26/18.64 parent0[1]: (549) {G11,W8,D2,L2,V2,M2} R(336,397) { coll( skol22, X, skol27
% 18.26/18.64 ), ! coll( X, skol27, Y ) }.
% 18.26/18.64 parent1[1]: (257) {G7,W8,D2,L2,V1,M2} R(254,2) { ! coll( skol22, skol22, X
% 18.26/18.64 ), coll( skol24, X, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol24
% 18.26/18.64 Y := skol22
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := skol27
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51253) {G6,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol27 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[1]: (51252) {G8,W8,D2,L2,V0,M2} { coll( skol22, skol24, skol27 ),
% 18.26/18.64 ! coll( skol22, skol22, skol27 ) }.
% 18.26/18.64 parent1[0]: (303) {G5,W4,D2,L1,V0,M1} R(217,0) { coll( skol22, skol22,
% 18.26/18.64 skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (14256) {G12,W4,D2,L1,V0,M1} R(257,549);r(303) { coll( skol22
% 18.26/18.64 , skol24, skol27 ) }.
% 18.26/18.64 parent0: (51253) {G6,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51254) {G2,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol22 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (193) {G1,W8,D2,L2,V1,M2} R(2,118) { ! coll( skol22, skol24, X
% 18.26/18.64 ), coll( X, skol26, skol22 ) }.
% 18.26/18.64 parent1[0]: (14256) {G12,W4,D2,L1,V0,M1} R(257,549);r(303) { coll( skol22,
% 18.26/18.64 skol24, skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol27
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (14315) {G13,W4,D2,L1,V0,M1} R(14256,193) { coll( skol27,
% 18.26/18.64 skol26, skol22 ) }.
% 18.26/18.64 parent0: (51254) {G2,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51255) {G11,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol27 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[1]: (397) {G10,W8,D2,L2,V3,M2} R(394,390) { coll( X, X, Y ), ! coll
% 18.26/18.64 ( Y, X, Z ) }.
% 18.26/18.64 parent1[0]: (14315) {G13,W4,D2,L1,V0,M1} R(14256,193) { coll( skol27,
% 18.26/18.64 skol26, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol27
% 18.26/18.64 Z := skol22
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (14364) {G14,W4,D2,L1,V0,M1} R(14315,397) { coll( skol26,
% 18.26/18.64 skol26, skol27 ) }.
% 18.26/18.64 parent0: (51255) {G11,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51256) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol27,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 parent0[0]: (1440) {G1,W9,D2,L2,V0,M2} R(53,121) { ! coll( skol30, skol26,
% 18.26/18.64 skol22 ), perp( skol26, skol27, skol27, skol22 ) }.
% 18.26/18.64 parent1[0]: (7983) {G15,W4,D2,L1,V0,M1} R(7953,1) { coll( skol30, skol26,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (20009) {G16,W5,D2,L1,V0,M1} S(1440);r(7983) { perp( skol26,
% 18.26/18.64 skol27, skol27, skol22 ) }.
% 18.26/18.64 parent0: (51256) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol27,
% 18.26/18.64 skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51257) {G3,W5,D2,L1,V0,M1} { para( skol26, skol27, skol26,
% 18.26/18.64 skol27 ) }.
% 18.26/18.64 parent0[0]: (281) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para
% 18.26/18.64 ( X, Y, X, Y ) }.
% 18.26/18.64 parent1[0]: (20009) {G16,W5,D2,L1,V0,M1} S(1440);r(7983) { perp( skol26,
% 18.26/18.64 skol27, skol27, skol22 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol27
% 18.26/18.64 Z := skol27
% 18.26/18.64 T := skol22
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (20742) {G17,W5,D2,L1,V0,M1} R(20009,281) { para( skol26,
% 18.26/18.64 skol27, skol26, skol27 ) }.
% 18.26/18.64 parent0: (51257) {G3,W5,D2,L1,V0,M1} { para( skol26, skol27, skol26,
% 18.26/18.64 skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51258) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol27, X
% 18.26/18.64 , Y, skol26, skol27 ) }.
% 18.26/18.64 parent0[0]: (741) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 18.26/18.64 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 18.26/18.64 parent1[0]: (20742) {G17,W5,D2,L1,V0,M1} R(20009,281) { para( skol26,
% 18.26/18.64 skol27, skol26, skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol27
% 18.26/18.64 Z := skol26
% 18.26/18.64 T := skol27
% 18.26/18.64 U := X
% 18.26/18.64 W := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (41703) {G18,W9,D2,L1,V2,M1} R(741,20742) { eqangle( X, Y,
% 18.26/18.64 skol26, skol27, X, Y, skol26, skol27 ) }.
% 18.26/18.64 parent0: (51258) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol27, X, Y
% 18.26/18.64 , skol26, skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51259) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol27, skol26,
% 18.26/18.64 skol26 ), ! eqangle( skol26, X, skol26, skol27, skol26, X, skol26, skol27
% 18.26/18.64 ) }.
% 18.26/18.64 parent0[0]: (796) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 18.26/18.64 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 18.26/18.64 parent1[0]: (14364) {G14,W4,D2,L1,V0,M1} R(14315,397) { coll( skol26,
% 18.26/18.64 skol26, skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol26
% 18.26/18.64 Z := skol27
% 18.26/18.64 T := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51260) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol26,
% 18.26/18.64 skol26 ) }.
% 18.26/18.64 parent0[1]: (51259) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol27, skol26,
% 18.26/18.64 skol26 ), ! eqangle( skol26, X, skol26, skol27, skol26, X, skol26, skol27
% 18.26/18.64 ) }.
% 18.26/18.64 parent1[0]: (41703) {G18,W9,D2,L1,V2,M1} R(741,20742) { eqangle( X, Y,
% 18.26/18.64 skol26, skol27, X, Y, skol26, skol27 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (44575) {G19,W5,D2,L1,V1,M1} R(796,14364);r(41703) { cyclic( X
% 18.26/18.64 , skol27, skol26, skol26 ) }.
% 18.26/18.64 parent0: (51260) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol26, skol26 )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51261) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol26,
% 18.26/18.64 skol26 ) }.
% 18.26/18.64 parent0[1]: (350) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 18.26/18.64 cyclic( Y, X, T, Z ) }.
% 18.26/18.64 parent1[0]: (44575) {G19,W5,D2,L1,V1,M1} R(796,14364);r(41703) { cyclic( X
% 18.26/18.64 , skol27, skol26, skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol27
% 18.26/18.64 Y := X
% 18.26/18.64 Z := skol26
% 18.26/18.64 T := skol26
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (44730) {G20,W5,D2,L1,V1,M1} R(44575,350) { cyclic( skol27, X
% 18.26/18.64 , skol26, skol26 ) }.
% 18.26/18.64 parent0: (51261) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol26, skol26 )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51262) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26,
% 18.26/18.64 skol26 ) }.
% 18.26/18.64 parent0[0]: (376) {G2,W10,D2,L2,V4,M2} F(367) { ! cyclic( X, Y, Z, T ),
% 18.26/18.64 cyclic( Z, Y, T, T ) }.
% 18.26/18.64 parent1[0]: (44730) {G20,W5,D2,L1,V1,M1} R(44575,350) { cyclic( skol27, X,
% 18.26/18.64 skol26, skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol27
% 18.26/18.64 Y := X
% 18.26/18.64 Z := skol26
% 18.26/18.64 T := skol26
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (44742) {G21,W5,D2,L1,V1,M1} R(44730,376) { cyclic( skol26, X
% 18.26/18.64 , skol26, skol26 ) }.
% 18.26/18.64 parent0: (51262) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26, skol26 )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51263) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X,
% 18.26/18.64 skol26 ) }.
% 18.26/18.64 parent0[1]: (348) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 18.26/18.64 cyclic( Y, Z, X, T ) }.
% 18.26/18.64 parent1[0]: (44742) {G21,W5,D2,L1,V1,M1} R(44730,376) { cyclic( skol26, X,
% 18.26/18.64 skol26, skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol26
% 18.26/18.64 Z := X
% 18.26/18.64 T := skol26
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (44764) {G22,W5,D2,L1,V1,M1} R(44742,348) { cyclic( skol26,
% 18.26/18.64 skol26, X, skol26 ) }.
% 18.26/18.64 parent0: (51263) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X, skol26 )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51264) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26,
% 18.26/18.64 X ) }.
% 18.26/18.64 parent0[0]: (339) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 18.26/18.64 cyclic( X, Z, T, Y ) }.
% 18.26/18.64 parent1[0]: (44742) {G21,W5,D2,L1,V1,M1} R(44730,376) { cyclic( skol26, X,
% 18.26/18.64 skol26, skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := X
% 18.26/18.64 Z := skol26
% 18.26/18.64 T := skol26
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (44765) {G22,W5,D2,L1,V1,M1} R(44742,339) { cyclic( skol26,
% 18.26/18.64 skol26, skol26, X ) }.
% 18.26/18.64 parent0: (51264) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26, X )
% 18.26/18.64 }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51266) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 18.26/18.64 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 18.26/18.64 parent0[2]: (372) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.26/18.64 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.26/18.64 parent1[0]: (44764) {G22,W5,D2,L1,V1,M1} R(44742,348) { cyclic( skol26,
% 18.26/18.64 skol26, X, skol26 ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol26
% 18.26/18.64 Z := skol26
% 18.26/18.64 T := X
% 18.26/18.64 U := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51267) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (51266) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 18.26/18.64 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 18.26/18.64 parent1[0]: (44765) {G22,W5,D2,L1,V1,M1} R(44742,339) { cyclic( skol26,
% 18.26/18.64 skol26, skol26, X ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (44770) {G23,W5,D2,L1,V2,M1} R(44764,372);r(44765) { cyclic(
% 18.26/18.64 skol26, skol26, X, Y ) }.
% 18.26/18.64 parent0: (51267) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51268) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 18.26/18.64 cyclic( skol26, skol26, Z, X ) }.
% 18.26/18.64 parent0[0]: (372) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.26/18.64 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.26/18.64 parent1[0]: (44770) {G23,W5,D2,L1,V2,M1} R(44764,372);r(44765) { cyclic(
% 18.26/18.64 skol26, skol26, X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := skol26
% 18.26/18.64 Z := X
% 18.26/18.64 T := Y
% 18.26/18.64 U := Z
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51270) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 18.26/18.64 parent0[1]: (51268) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 18.26/18.64 cyclic( skol26, skol26, Z, X ) }.
% 18.26/18.64 parent1[0]: (44770) {G23,W5,D2,L1,V2,M1} R(44764,372);r(44765) { cyclic(
% 18.26/18.64 skol26, skol26, X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := Z
% 18.26/18.64 Y := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (45108) {G24,W5,D2,L1,V3,M1} R(44770,372);r(44770) { cyclic(
% 18.26/18.64 skol26, X, Y, Z ) }.
% 18.26/18.64 parent0: (51270) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51271) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 18.26/18.64 ( skol26, X, T, Y ) }.
% 18.26/18.64 parent0[0]: (372) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.26/18.64 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.26/18.64 parent1[0]: (45108) {G24,W5,D2,L1,V3,M1} R(44770,372);r(44770) { cyclic(
% 18.26/18.64 skol26, X, Y, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := skol26
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Y
% 18.26/18.64 T := Z
% 18.26/18.64 U := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51273) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 18.26/18.64 parent0[1]: (51271) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 18.26/18.64 ( skol26, X, T, Y ) }.
% 18.26/18.64 parent1[0]: (45108) {G24,W5,D2,L1,V3,M1} R(44770,372);r(44770) { cyclic(
% 18.26/18.64 skol26, X, Y, Z ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := T
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (45127) {G25,W5,D2,L1,V4,M1} R(45108,372);r(45108) { cyclic( X
% 18.26/18.64 , Y, Z, T ) }.
% 18.26/18.64 parent0: (51273) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51276) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 18.26/18.64 , Y, X, Y ) }.
% 18.26/18.64 parent0[0]: (903) {G2,W15,D2,L3,V3,M3} F(871) { ! cyclic( X, Y, Z, X ), !
% 18.26/18.64 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.26/18.64 parent1[0]: (45127) {G25,W5,D2,L1,V4,M1} R(45108,372);r(45108) { cyclic( X
% 18.26/18.64 , Y, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51278) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 18.26/18.64 parent0[0]: (51276) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 18.26/18.64 , Y, X, Y ) }.
% 18.26/18.64 parent1[0]: (45127) {G25,W5,D2,L1,V4,M1} R(45108,372);r(45108) { cyclic( X
% 18.26/18.64 , Y, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (50356) {G26,W5,D2,L1,V2,M1} S(903);r(45127);r(45127) { cong(
% 18.26/18.64 X, Y, X, Y ) }.
% 18.26/18.64 parent0: (51278) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51279) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 18.26/18.64 X, Y, Z ) }.
% 18.26/18.64 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 18.26/18.64 T, Y, T ), perp( X, Y, Z, T ) }.
% 18.26/18.64 parent1[0]: (50356) {G26,W5,D2,L1,V2,M1} S(903);r(45127);r(45127) { cong( X
% 18.26/18.64 , Y, X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Y
% 18.26/18.64 T := Z
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51281) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 18.26/18.64 parent0[0]: (51279) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 18.26/18.64 X, Y, Z ) }.
% 18.26/18.64 parent1[0]: (50356) {G26,W5,D2,L1,V2,M1} S(903);r(45127);r(45127) { cong( X
% 18.26/18.64 , Y, X, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (50373) {G27,W5,D2,L1,V3,M1} R(50356,56);r(50356) { perp( X, X
% 18.26/18.64 , Z, Y ) }.
% 18.26/18.64 parent0: (51281) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51282) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 18.26/18.64 X, T, U ) }.
% 18.26/18.64 parent0[0]: (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 18.26/18.64 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 18.26/18.64 parent1[0]: (50373) {G27,W5,D2,L1,V3,M1} R(50356,56);r(50356) { perp( X, X
% 18.26/18.64 , Z, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := X
% 18.26/18.64 Z := Y
% 18.26/18.64 T := Z
% 18.26/18.64 U := T
% 18.26/18.64 W := U
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51284) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 18.26/18.64 parent0[1]: (51282) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 18.26/18.64 X, T, U ) }.
% 18.26/18.64 parent1[0]: (50373) {G27,W5,D2,L1,V3,M1} R(50356,56);r(50356) { perp( X, X
% 18.26/18.64 , Z, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := U
% 18.26/18.64 Y := Z
% 18.26/18.64 Z := T
% 18.26/18.64 T := X
% 18.26/18.64 U := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := U
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := X
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (50402) {G28,W5,D2,L1,V4,M1} R(50373,272);r(50373) { para( X,
% 18.26/18.64 Y, Z, T ) }.
% 18.26/18.64 parent0: (51284) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51285) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 18.26/18.64 Y, T, U ) }.
% 18.26/18.64 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 18.26/18.64 , Z, T ), perp( X, Y, Z, T ) }.
% 18.26/18.64 parent1[0]: (50373) {G27,W5,D2,L1,V3,M1} R(50356,56);r(50356) { perp( X, X
% 18.26/18.64 , Z, Y ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := T
% 18.26/18.64 T := U
% 18.26/18.64 U := Z
% 18.26/18.64 W := Z
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := Z
% 18.26/18.64 Y := U
% 18.26/18.64 Z := T
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51286) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 18.26/18.64 parent0[0]: (51285) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 18.26/18.64 Y, T, U ) }.
% 18.26/18.64 parent1[0]: (50402) {G28,W5,D2,L1,V4,M1} R(50373,272);r(50373) { para( X, Y
% 18.26/18.64 , Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := T
% 18.26/18.64 U := U
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := Z
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (50424) {G29,W5,D2,L1,V4,M1} R(50373,9);r(50402) { perp( X, Y
% 18.26/18.64 , T, U ) }.
% 18.26/18.64 parent0: (51286) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := W
% 18.26/18.64 T := T
% 18.26/18.64 U := U
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 0 ==> 0
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51287) {G3,W5,D2,L1,V2,M1} { ! perp( X, Y, skol20, skol23 )
% 18.26/18.64 }.
% 18.26/18.64 parent0[0]: (359) {G2,W10,D2,L2,V2,M2} R(255,9) { ! para( skol22, skol23, X
% 18.26/18.64 , Y ), ! perp( X, Y, skol20, skol23 ) }.
% 18.26/18.64 parent1[0]: (50402) {G28,W5,D2,L1,V4,M1} R(50373,272);r(50373) { para( X, Y
% 18.26/18.64 , Z, T ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := skol22
% 18.26/18.64 Y := skol23
% 18.26/18.64 Z := X
% 18.26/18.64 T := Y
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 resolution: (51288) {G4,W0,D0,L0,V0,M0} { }.
% 18.26/18.64 parent0[0]: (51287) {G3,W5,D2,L1,V2,M1} { ! perp( X, Y, skol20, skol23 )
% 18.26/18.64 }.
% 18.26/18.64 parent1[0]: (50424) {G29,W5,D2,L1,V4,M1} R(50373,9);r(50402) { perp( X, Y,
% 18.26/18.64 T, U ) }.
% 18.26/18.64 substitution0:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 end
% 18.26/18.64 substitution1:
% 18.26/18.64 X := X
% 18.26/18.64 Y := Y
% 18.26/18.64 Z := Z
% 18.26/18.64 T := skol20
% 18.26/18.64 U := skol23
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 subsumption: (50538) {G30,W0,D0,L0,V0,M0} R(50402,359);r(50424) { }.
% 18.26/18.64 parent0: (51288) {G4,W0,D0,L0,V0,M0} { }.
% 18.26/18.64 substitution0:
% 18.26/18.64 end
% 18.26/18.64 permutation0:
% 18.26/18.64 end
% 18.26/18.64
% 18.26/18.64 Proof check complete!
% 18.26/18.64
% 18.26/18.64 Memory use:
% 18.26/18.64
% 18.26/18.64 space for terms: 704085
% 18.26/18.64 space for clauses: 2202757
% 18.26/18.64
% 18.26/18.64
% 18.26/18.64 clauses generated: 479862
% 18.26/18.64 clauses kept: 50539
% 18.26/18.64 clauses selected: 2924
% 18.26/18.64 clauses deleted: 6268
% 18.26/18.64 clauses inuse deleted: 183
% 18.26/18.64
% 18.26/18.64 subsentry: 24402428
% 18.26/18.64 literals s-matched: 14471748
% 18.26/18.64 literals matched: 8649643
% 18.26/18.64 full subsumption: 2621332
% 18.26/18.64
% 18.26/18.64 checksum: -481720272
% 18.26/18.64
% 18.26/18.64
% 18.26/18.64 Bliksem ended
%------------------------------------------------------------------------------