TSTP Solution File: GEO591+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO591+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 02:54:56 EDT 2022
% Result : Theorem 16.83s 17.19s
% Output : Refutation 16.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO591+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 22:54:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.15 *** allocated 10000 integers for termspace/termends
% 0.45/1.15 *** allocated 10000 integers for clauses
% 0.45/1.15 *** allocated 10000 integers for justifications
% 0.45/1.15 Bliksem 1.12
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Automatic Strategy Selection
% 0.45/1.15
% 0.45/1.15 *** allocated 15000 integers for termspace/termends
% 0.45/1.15
% 0.45/1.15 Clauses:
% 0.45/1.15
% 0.45/1.15 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.45/1.15 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.45/1.15 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.45/1.15 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.45/1.15 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.45/1.15 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.45/1.15 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.45/1.15 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.45/1.15 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.45/1.15 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.45/1.15 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.45/1.15 ( X, Y, Z, T ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.45/1.15 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.45/1.15 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.45/1.15 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.45/1.15 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.45/1.15 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.45/1.15 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.45/1.15 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.45/1.15 ( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.45/1.15 ( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.45/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.45/1.15 T ) }.
% 0.45/1.15 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.45/1.15 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.45/1.15 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.45/1.15 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.45/1.15 ) }.
% 0.45/1.15 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.45/1.15 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.45/1.15 }.
% 0.45/1.15 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.45/1.15 Z, Y ) }.
% 0.45/1.15 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.45/1.15 X, Z ) }.
% 0.45/1.15 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.45/1.15 U ) }.
% 0.45/1.15 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.45/1.15 , Z ), midp( Z, X, Y ) }.
% 0.45/1.15 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.45/1.15 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.45/1.15 Z, Y ) }.
% 0.45/1.15 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.45/1.15 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.45/1.15 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.45/1.15 ( Y, X, X, Z ) }.
% 0.45/1.15 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.45/1.15 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.45/1.15 , W ) }.
% 0.45/1.15 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.45/1.15 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.45/1.15 , Y ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.45/1.15 , X, Z, U, Y, Y, T ) }.
% 0.45/1.15 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.45/1.15 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.45/1.15 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.45/1.15 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.45/1.15 .
% 0.45/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.45/1.15 , Z, T ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.45/1.15 , Z, T ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.45/1.15 , Z, T ) }.
% 0.45/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.45/1.15 , W, Z, T ), Z, T ) }.
% 0.45/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.45/1.15 , Y, Z, T ), X, Y ) }.
% 0.45/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.45/1.15 , W, Z, T ), Z, T ) }.
% 0.45/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.45/1.15 skol2( X, Y, Z, T ) ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.45/1.15 , W, Z, T ), Z, T ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.45/1.15 skol3( X, Y, Z, T ) ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.45/1.15 , T ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.45/1.15 ) ) }.
% 0.45/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.45/1.15 skol5( W, Y, Z, T ) ) }.
% 0.45/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.45/1.15 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.45/1.15 , X, T ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.45/1.15 W, X, Z ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.45/1.15 , Y, T ) }.
% 0.45/1.15 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.45/1.15 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.45/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.45/1.15 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.45/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.45/1.15 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.45/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.45/1.15 Z, T ) ) }.
% 0.45/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.45/1.15 , T ) ) }.
% 0.45/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.45/1.15 , X, Y ) }.
% 0.45/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.45/1.15 ) }.
% 0.45/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.45/1.15 , Y ) }.
% 0.45/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.45/1.15 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.45/1.15 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.45/1.15 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.45/1.15 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.68/5.08 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.68/5.08 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.68/5.08 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.68/5.08 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.68/5.08 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.68/5.08 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.68/5.08 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.68/5.08 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.68/5.08 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.68/5.08 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.68/5.08 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.68/5.08 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.68/5.08 X, Y, Z ) }.
% 4.68/5.08 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.68/5.08 }.
% 4.68/5.08 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.68/5.08 ) }.
% 4.68/5.08 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.68/5.08 skol17( X, Y ), X, Y ) }.
% 4.68/5.08 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.68/5.08 }.
% 4.68/5.08 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.68/5.08 ) }.
% 4.68/5.08 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.68/5.08 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.68/5.08 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.68/5.08 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.68/5.08 { circle( skol20, skol24, skol25, skol26 ) }.
% 4.68/5.08 { circle( skol20, skol24, skol27, skol28 ) }.
% 4.68/5.08 { perp( skol20, skol27, skol27, skol22 ) }.
% 4.68/5.08 { perp( skol20, skol24, skol24, skol23 ) }.
% 4.68/5.08 { coll( skol29, skol24, skol27 ) }.
% 4.68/5.08 { perp( skol20, skol29, skol29, skol22 ) }.
% 4.68/5.08 { coll( skol23, skol29, skol22 ) }.
% 4.68/5.08 { ! cong( skol20, skol22, skol20, skol23 ) }.
% 4.68/5.08
% 4.68/5.08 percentage equality = 0.008772, percentage horn = 0.927419
% 4.68/5.08 This is a problem with some equality
% 4.68/5.08
% 4.68/5.08
% 4.68/5.08
% 4.68/5.08 Options Used:
% 4.68/5.08
% 4.68/5.08 useres = 1
% 4.68/5.08 useparamod = 1
% 4.68/5.08 useeqrefl = 1
% 4.68/5.08 useeqfact = 1
% 4.68/5.08 usefactor = 1
% 4.68/5.08 usesimpsplitting = 0
% 4.68/5.08 usesimpdemod = 5
% 4.68/5.08 usesimpres = 3
% 4.68/5.08
% 4.68/5.08 resimpinuse = 1000
% 4.68/5.08 resimpclauses = 20000
% 4.68/5.08 substype = eqrewr
% 4.68/5.08 backwardsubs = 1
% 4.68/5.08 selectoldest = 5
% 4.68/5.08
% 4.68/5.08 litorderings [0] = split
% 4.68/5.08 litorderings [1] = extend the termordering, first sorting on arguments
% 4.68/5.08
% 4.68/5.08 termordering = kbo
% 4.68/5.08
% 4.68/5.08 litapriori = 0
% 4.68/5.08 termapriori = 1
% 4.68/5.08 litaposteriori = 0
% 4.68/5.08 termaposteriori = 0
% 4.68/5.08 demodaposteriori = 0
% 4.68/5.08 ordereqreflfact = 0
% 4.68/5.08
% 4.68/5.08 litselect = negord
% 4.68/5.08
% 4.68/5.08 maxweight = 15
% 4.68/5.08 maxdepth = 30000
% 4.68/5.08 maxlength = 115
% 4.68/5.08 maxnrvars = 195
% 4.68/5.08 excuselevel = 1
% 4.68/5.08 increasemaxweight = 1
% 4.68/5.08
% 4.68/5.08 maxselected = 10000000
% 4.68/5.08 maxnrclauses = 10000000
% 4.68/5.08
% 4.68/5.08 showgenerated = 0
% 4.68/5.08 showkept = 0
% 4.68/5.08 showselected = 0
% 4.68/5.08 showdeleted = 0
% 4.68/5.08 showresimp = 1
% 4.68/5.08 showstatus = 2000
% 4.68/5.08
% 4.68/5.08 prologoutput = 0
% 4.68/5.08 nrgoals = 5000000
% 4.68/5.08 totalproof = 1
% 4.68/5.08
% 4.68/5.08 Symbols occurring in the translation:
% 4.68/5.08
% 4.68/5.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.68/5.08 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 4.68/5.08 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 4.68/5.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.68/5.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.68/5.08 coll [38, 3] (w:1, o:69, a:1, s:1, b:0),
% 4.68/5.08 para [40, 4] (w:1, o:77, a:1, s:1, b:0),
% 4.68/5.08 perp [43, 4] (w:1, o:78, a:1, s:1, b:0),
% 4.68/5.08 midp [45, 3] (w:1, o:70, a:1, s:1, b:0),
% 4.68/5.08 cong [47, 4] (w:1, o:79, a:1, s:1, b:0),
% 4.68/5.08 circle [48, 4] (w:1, o:80, a:1, s:1, b:0),
% 4.68/5.08 cyclic [49, 4] (w:1, o:81, a:1, s:1, b:0),
% 4.68/5.08 eqangle [54, 8] (w:1, o:96, a:1, s:1, b:0),
% 4.68/5.08 eqratio [57, 8] (w:1, o:97, a:1, s:1, b:0),
% 4.68/5.08 simtri [59, 6] (w:1, o:93, a:1, s:1, b:0),
% 4.68/5.08 contri [60, 6] (w:1, o:94, a:1, s:1, b:0),
% 4.68/5.08 alpha1 [67, 3] (w:1, o:71, a:1, s:1, b:1),
% 4.68/5.08 alpha2 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.68/5.08 skol1 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.68/5.08 skol2 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.68/5.08 skol3 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.68/5.08 skol4 [72, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.68/5.08 skol5 [73, 4] (w:1, o:89, a:1, s:1, b:1),
% 4.68/5.08 skol6 [74, 6] (w:1, o:95, a:1, s:1, b:1),
% 4.68/5.08 skol7 [75, 2] (w:1, o:65, a:1, s:1, b:1),
% 16.83/17.19 skol8 [76, 4] (w:1, o:90, a:1, s:1, b:1),
% 16.83/17.19 skol9 [77, 4] (w:1, o:91, a:1, s:1, b:1),
% 16.83/17.19 skol10 [78, 3] (w:1, o:72, a:1, s:1, b:1),
% 16.83/17.19 skol11 [79, 3] (w:1, o:73, a:1, s:1, b:1),
% 16.83/17.19 skol12 [80, 2] (w:1, o:66, a:1, s:1, b:1),
% 16.83/17.19 skol13 [81, 5] (w:1, o:92, a:1, s:1, b:1),
% 16.83/17.19 skol14 [82, 3] (w:1, o:74, a:1, s:1, b:1),
% 16.83/17.19 skol15 [83, 3] (w:1, o:75, a:1, s:1, b:1),
% 16.83/17.19 skol16 [84, 3] (w:1, o:76, a:1, s:1, b:1),
% 16.83/17.19 skol17 [85, 2] (w:1, o:67, a:1, s:1, b:1),
% 16.83/17.19 skol18 [86, 2] (w:1, o:68, a:1, s:1, b:1),
% 16.83/17.19 skol19 [87, 4] (w:1, o:84, a:1, s:1, b:1),
% 16.83/17.19 skol20 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 16.83/17.19 skol21 [89, 4] (w:1, o:86, a:1, s:1, b:1),
% 16.83/17.19 skol22 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 16.83/17.19 skol23 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 16.83/17.19 skol24 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 16.83/17.19 skol25 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 16.83/17.19 skol26 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 16.83/17.19 skol27 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 16.83/17.19 skol28 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 16.83/17.19 skol29 [97, 0] (w:1, o:35, a:1, s:1, b:1).
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Starting Search:
% 16.83/17.19
% 16.83/17.19 *** allocated 15000 integers for clauses
% 16.83/17.19 *** allocated 22500 integers for clauses
% 16.83/17.19 *** allocated 33750 integers for clauses
% 16.83/17.19 *** allocated 22500 integers for termspace/termends
% 16.83/17.19 *** allocated 50625 integers for clauses
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 75937 integers for clauses
% 16.83/17.19 *** allocated 33750 integers for termspace/termends
% 16.83/17.19 *** allocated 113905 integers for clauses
% 16.83/17.19 *** allocated 50625 integers for termspace/termends
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 17009
% 16.83/17.19 Kept: 2028
% 16.83/17.19 Inuse: 336
% 16.83/17.19 Deleted: 1
% 16.83/17.19 Deletedinuse: 1
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 170857 integers for clauses
% 16.83/17.19 *** allocated 75937 integers for termspace/termends
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 256285 integers for clauses
% 16.83/17.19 *** allocated 113905 integers for termspace/termends
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 35073
% 16.83/17.19 Kept: 4039
% 16.83/17.19 Inuse: 454
% 16.83/17.19 Deleted: 18
% 16.83/17.19 Deletedinuse: 1
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 384427 integers for clauses
% 16.83/17.19 *** allocated 170857 integers for termspace/termends
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 46281
% 16.83/17.19 Kept: 6138
% 16.83/17.19 Inuse: 529
% 16.83/17.19 Deleted: 19
% 16.83/17.19 Deletedinuse: 2
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 576640 integers for clauses
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 65648
% 16.83/17.19 Kept: 8163
% 16.83/17.19 Inuse: 693
% 16.83/17.19 Deleted: 20
% 16.83/17.19 Deletedinuse: 2
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 256285 integers for termspace/termends
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 85893
% 16.83/17.19 Kept: 10177
% 16.83/17.19 Inuse: 788
% 16.83/17.19 Deleted: 28
% 16.83/17.19 Deletedinuse: 5
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 95596
% 16.83/17.19 Kept: 12397
% 16.83/17.19 Inuse: 828
% 16.83/17.19 Deleted: 32
% 16.83/17.19 Deletedinuse: 9
% 16.83/17.19
% 16.83/17.19 *** allocated 864960 integers for clauses
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 114539
% 16.83/17.19 Kept: 14415
% 16.83/17.19 Inuse: 1005
% 16.83/17.19 Deleted: 46
% 16.83/17.19 Deletedinuse: 9
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 384427 integers for termspace/termends
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 130841
% 16.83/17.19 Kept: 16417
% 16.83/17.19 Inuse: 1172
% 16.83/17.19 Deleted: 66
% 16.83/17.19 Deletedinuse: 21
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 148248
% 16.83/17.19 Kept: 18417
% 16.83/17.19 Inuse: 1320
% 16.83/17.19 Deleted: 93
% 16.83/17.19 Deletedinuse: 37
% 16.83/17.19
% 16.83/17.19 *** allocated 1297440 integers for clauses
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying clauses:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 168237
% 16.83/17.19 Kept: 20422
% 16.83/17.19 Inuse: 1510
% 16.83/17.19 Deleted: 1719
% 16.83/17.19 Deletedinuse: 41
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 183805
% 16.83/17.19 Kept: 22424
% 16.83/17.19 Inuse: 1657
% 16.83/17.19 Deleted: 1720
% 16.83/17.19 Deletedinuse: 41
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 576640 integers for termspace/termends
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 199182
% 16.83/17.19 Kept: 25808
% 16.83/17.19 Inuse: 1779
% 16.83/17.19 Deleted: 1720
% 16.83/17.19 Deletedinuse: 41
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 208546
% 16.83/17.19 Kept: 28166
% 16.83/17.19 Inuse: 1844
% 16.83/17.19 Deleted: 1720
% 16.83/17.19 Deletedinuse: 41
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 1946160 integers for clauses
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 217457
% 16.83/17.19 Kept: 30725
% 16.83/17.19 Inuse: 1859
% 16.83/17.19 Deleted: 1720
% 16.83/17.19 Deletedinuse: 41
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 235262
% 16.83/17.19 Kept: 32731
% 16.83/17.19 Inuse: 1931
% 16.83/17.19 Deleted: 1727
% 16.83/17.19 Deletedinuse: 47
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 253509
% 16.83/17.19 Kept: 34737
% 16.83/17.19 Inuse: 2093
% 16.83/17.19 Deleted: 1731
% 16.83/17.19 Deletedinuse: 51
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 260523
% 16.83/17.19 Kept: 37292
% 16.83/17.19 Inuse: 2107
% 16.83/17.19 Deleted: 1732
% 16.83/17.19 Deletedinuse: 51
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 268223
% 16.83/17.19 Kept: 39649
% 16.83/17.19 Inuse: 2147
% 16.83/17.19 Deleted: 1740
% 16.83/17.19 Deletedinuse: 54
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying clauses:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 864960 integers for termspace/termends
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 276711
% 16.83/17.19 Kept: 41729
% 16.83/17.19 Inuse: 2196
% 16.83/17.19 Deleted: 4428
% 16.83/17.19 Deletedinuse: 55
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 290159
% 16.83/17.19 Kept: 43769
% 16.83/17.19 Inuse: 2276
% 16.83/17.19 Deleted: 4434
% 16.83/17.19 Deletedinuse: 61
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 *** allocated 2919240 integers for clauses
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 311076
% 16.83/17.19 Kept: 45775
% 16.83/17.19 Inuse: 2422
% 16.83/17.19 Deleted: 4442
% 16.83/17.19 Deletedinuse: 67
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 327953
% 16.83/17.19 Kept: 47786
% 16.83/17.19 Inuse: 2563
% 16.83/17.19 Deleted: 4445
% 16.83/17.19 Deletedinuse: 70
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 358171
% 16.83/17.19 Kept: 49786
% 16.83/17.19 Inuse: 2717
% 16.83/17.19 Deleted: 4454
% 16.83/17.19 Deletedinuse: 78
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 381276
% 16.83/17.19 Kept: 51789
% 16.83/17.19 Inuse: 2819
% 16.83/17.19 Deleted: 4610
% 16.83/17.19 Deletedinuse: 177
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 455887
% 16.83/17.19 Kept: 53792
% 16.83/17.19 Inuse: 2949
% 16.83/17.19 Deleted: 4643
% 16.83/17.19 Deletedinuse: 177
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19 Resimplifying inuse:
% 16.83/17.19 Done
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Intermediate Status:
% 16.83/17.19 Generated: 494323
% 16.83/17.19 Kept: 55846
% 16.83/17.19 Inuse: 3084
% 16.83/17.19 Deleted: 4676
% 16.83/17.19 Deletedinuse: 178
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Bliksems!, er is een bewijs:
% 16.83/17.19 % SZS status Theorem
% 16.83/17.19 % SZS output start Refutation
% 16.83/17.19
% 16.83/17.19 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 16.83/17.19 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 16.83/17.19 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 16.83/17.19 , Z, X ) }.
% 16.83/17.19 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 16.83/17.19 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 16.83/17.19 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 16.83/17.19 para( X, Y, Z, T ) }.
% 16.83/17.19 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 16.83/17.19 perp( X, Y, Z, T ) }.
% 16.83/17.19 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 16.83/17.19 }.
% 16.83/17.19 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 16.83/17.19 }.
% 16.83/17.19 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 16.83/17.19 }.
% 16.83/17.19 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 16.83/17.19 ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.83/17.19 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 16.83/17.19 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 16.83/17.19 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 16.83/17.19 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 16.83/17.19 cong( X, Y, Z, T ) }.
% 16.83/17.19 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 16.83/17.19 , T, U, W ) }.
% 16.83/17.19 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 16.83/17.19 T, X, T, Y ) }.
% 16.83/17.19 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 16.83/17.19 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 16.83/17.19 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 16.83/17.19 , Y, Z, T ) }.
% 16.83/17.19 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 16.83/17.19 ( X, Z, Y, Z ) }.
% 16.83/17.19 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 16.83/17.19 perp( X, Y, Z, T ) }.
% 16.83/17.19 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 16.83/17.19 ( X, Y, Z ) }.
% 16.83/17.19 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 16.83/17.19 alpha1( X, Y, Z ) }.
% 16.83/17.19 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 16.83/17.19 , Z, X ) }.
% 16.83/17.19 (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol24, skol24, skol23 ) }.
% 16.83/17.19 (123) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol22, skol20, skol23 ) }.
% 16.83/17.19 (153) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 16.83/17.19 }.
% 16.83/17.19 (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 16.83/17.19 coll( Z, X, T ) }.
% 16.83/17.19 (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 16.83/17.19 (212) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 16.83/17.19 coll( X, Z, T ) }.
% 16.83/17.19 (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 16.83/17.19 (267) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol24, skol23, skol20, skol24 )
% 16.83/17.19 }.
% 16.83/17.19 (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 16.83/17.19 ), ! perp( X, Y, U, W ) }.
% 16.83/17.19 (286) {G1,W10,D2,L2,V2,M2} R(8,119) { ! perp( X, Y, skol20, skol24 ), para
% 16.83/17.19 ( X, Y, skol24, skol23 ) }.
% 16.83/17.19 (354) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 16.83/17.19 , T, Y ) }.
% 16.83/17.19 (371) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 16.83/17.19 , X, T ) }.
% 16.83/17.19 (373) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 16.83/17.19 , T, Z ) }.
% 16.83/17.19 (385) {G2,W5,D2,L1,V0,M1} R(267,6) { perp( skol24, skol23, skol24, skol20 )
% 16.83/17.19 }.
% 16.83/17.19 (389) {G3,W5,D2,L1,V0,M1} R(385,7) { perp( skol24, skol20, skol24, skol23 )
% 16.83/17.19 }.
% 16.83/17.19 (398) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 16.83/17.19 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 16.83/17.19 (403) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 16.83/17.19 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.83/17.19 (407) {G2,W10,D2,L2,V4,M2} F(398) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 16.83/17.19 , T ) }.
% 16.83/17.19 (462) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 16.83/17.19 (470) {G6,W8,D2,L2,V3,M2} R(462,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 16.83/17.19 (471) {G6,W8,D2,L2,V3,M2} R(462,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 16.83/17.19 (472) {G7,W8,D2,L2,V3,M2} R(470,462) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 16.83/17.19 }.
% 16.83/17.19 (475) {G7,W8,D2,L2,V3,M2} R(471,471) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 16.83/17.19 }.
% 16.83/17.19 (490) {G8,W12,D2,L3,V4,M3} R(475,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 16.83/17.19 , coll( T, Y, X ) }.
% 16.83/17.19 (491) {G9,W8,D2,L2,V3,M2} F(490) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 16.83/17.19 (494) {G10,W8,D2,L2,V3,M2} R(491,472) { coll( X, X, Y ), ! coll( Z, Y, X )
% 16.83/17.19 }.
% 16.83/17.19 (509) {G1,W5,D2,L1,V0,M1} R(22,123) { ! cong( skol20, skol22, skol23,
% 16.83/17.19 skol20 ) }.
% 16.83/17.19 (517) {G2,W5,D2,L1,V0,M1} R(23,509) { ! cong( skol23, skol20, skol20,
% 16.83/17.19 skol22 ) }.
% 16.83/17.19 (529) {G3,W5,D2,L1,V0,M1} R(517,22) { ! cong( skol23, skol20, skol22,
% 16.83/17.19 skol20 ) }.
% 16.83/17.19 (536) {G4,W10,D2,L2,V2,M2} R(24,529) { ! cong( skol23, skol20, X, Y ), !
% 16.83/17.19 cong( X, Y, skol22, skol20 ) }.
% 16.83/17.19 (797) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 16.83/17.19 X, Y, U, W, Z, T ) }.
% 16.83/17.19 (850) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 16.83/17.19 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 16.83/17.19 (923) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 16.83/17.19 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 16.83/17.19 (956) {G2,W15,D2,L3,V3,M3} F(923) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 16.83/17.19 , Z, Y ), cong( X, Y, X, Y ) }.
% 16.83/17.19 (4199) {G4,W4,D2,L1,V0,M1} R(96,389);r(389) { alpha1( skol24, skol24,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 (4322) {G7,W8,D2,L2,V3,M2} R(97,470) { ! alpha1( X, Y, Z ), coll( X, Z, Z )
% 16.83/17.19 }.
% 16.83/17.19 (4365) {G5,W7,D3,L1,V1,M1} R(4199,97) { coll( skol11( skol24, X, skol23 ),
% 16.83/17.19 skol23, skol24 ) }.
% 16.83/17.19 (7469) {G11,W4,D2,L1,V0,M1} R(4365,494) { coll( skol24, skol24, skol23 )
% 16.83/17.19 }.
% 16.83/17.19 (15496) {G2,W5,D2,L1,V0,M1} R(286,267) { para( skol24, skol23, skol24,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 (47618) {G3,W9,D2,L1,V2,M1} R(797,15496) { eqangle( X, Y, skol24, skol23, X
% 16.83/17.19 , Y, skol24, skol23 ) }.
% 16.83/17.19 (50415) {G12,W5,D2,L1,V1,M1} R(850,7469);r(47618) { cyclic( X, skol23,
% 16.83/17.19 skol24, skol24 ) }.
% 16.83/17.19 (50529) {G13,W5,D2,L1,V1,M1} R(50415,373) { cyclic( skol23, X, skol24,
% 16.83/17.19 skol24 ) }.
% 16.83/17.19 (50541) {G14,W5,D2,L1,V1,M1} R(50529,407) { cyclic( skol24, X, skol24,
% 16.83/17.19 skol24 ) }.
% 16.83/17.19 (50563) {G15,W5,D2,L1,V1,M1} R(50541,371) { cyclic( skol24, skol24, X,
% 16.83/17.19 skol24 ) }.
% 16.83/17.19 (50564) {G15,W5,D2,L1,V1,M1} R(50541,354) { cyclic( skol24, skol24, skol24
% 16.83/17.19 , X ) }.
% 16.83/17.19 (50569) {G16,W5,D2,L1,V2,M1} R(50563,403);r(50564) { cyclic( skol24, skol24
% 16.83/17.19 , X, Y ) }.
% 16.83/17.19 (50787) {G17,W5,D2,L1,V3,M1} R(50569,403);r(50569) { cyclic( skol24, X, Y,
% 16.83/17.19 Z ) }.
% 16.83/17.19 (50806) {G18,W5,D2,L1,V4,M1} R(50787,403);r(50787) { cyclic( X, Y, Z, T )
% 16.83/17.19 }.
% 16.83/17.19 (56372) {G19,W5,D2,L1,V2,M1} S(956);r(50806);r(50806) { cong( X, Y, X, Y )
% 16.83/17.19 }.
% 16.83/17.19 (56389) {G20,W5,D2,L1,V3,M1} R(56372,56);r(56372) { perp( X, X, Z, Y ) }.
% 16.83/17.19 (56426) {G21,W5,D2,L1,V4,M1} R(56389,276);r(56389) { para( X, Y, Z, T ) }.
% 16.83/17.19 (56428) {G21,W4,D2,L1,V2,M1} R(56389,153) { alpha1( X, X, Y ) }.
% 16.83/17.19 (56448) {G22,W5,D2,L1,V4,M1} R(56389,9);r(56426) { perp( X, Y, T, U ) }.
% 16.83/17.19 (56472) {G22,W4,D2,L1,V2,M1} R(56428,4322) { coll( X, Y, Y ) }.
% 16.83/17.19 (56493) {G23,W4,D2,L1,V2,M1} R(56472,67);r(56372) { midp( X, Y, Y ) }.
% 16.83/17.19 (56533) {G24,W5,D2,L1,V3,M1} R(56493,52);r(56448) { cong( X, Z, Y, Z ) }.
% 16.83/17.19 (56582) {G25,W0,D0,L0,V0,M0} R(56533,536);r(56533) { }.
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 % SZS output end Refutation
% 16.83/17.19 found a proof!
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Unprocessed initial clauses:
% 16.83/17.19
% 16.83/17.19 (56584) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 16.83/17.19 (56585) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 16.83/17.19 (56586) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 16.83/17.19 ( Y, Z, X ) }.
% 16.83/17.19 (56587) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 16.83/17.19 }.
% 16.83/17.19 (56588) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 16.83/17.19 }.
% 16.83/17.19 (56589) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 16.83/17.19 , para( X, Y, Z, T ) }.
% 16.83/17.19 (56590) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 16.83/17.19 }.
% 16.83/17.19 (56591) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 16.83/17.19 }.
% 16.83/17.19 (56592) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 16.83/17.19 , para( X, Y, Z, T ) }.
% 16.83/17.19 (56593) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 16.83/17.19 , perp( X, Y, Z, T ) }.
% 16.83/17.19 (56594) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 16.83/17.19 (56595) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 16.83/17.19 , circle( T, X, Y, Z ) }.
% 16.83/17.19 (56596) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 16.83/17.19 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 (56597) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 16.83/17.19 ) }.
% 16.83/17.19 (56598) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 16.83/17.19 ) }.
% 16.83/17.19 (56599) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 16.83/17.19 ) }.
% 16.83/17.19 (56600) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 16.83/17.19 T ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 (56601) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 16.83/17.19 (56602) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.83/17.19 (56603) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 16.83/17.19 (56604) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 16.83/17.19 (56605) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 16.83/17.19 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 16.83/17.19 V1 ) }.
% 16.83/17.19 (56606) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 16.83/17.19 }.
% 16.83/17.19 (56607) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 16.83/17.19 }.
% 16.83/17.19 (56608) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 16.83/17.19 , cong( X, Y, Z, T ) }.
% 16.83/17.19 (56609) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 16.83/17.19 (56610) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 16.83/17.19 (56611) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 16.83/17.19 (56612) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 16.83/17.19 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 16.83/17.19 (56613) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 16.83/17.19 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 16.83/17.19 V1 ) }.
% 16.83/17.19 (56614) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 16.83/17.19 , Z, T, U, W ) }.
% 16.83/17.19 (56615) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 16.83/17.19 , Z, T, U, W ) }.
% 16.83/17.19 (56616) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 16.83/17.19 , Z, T, U, W ) }.
% 16.83/17.19 (56617) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 16.83/17.19 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 16.83/17.19 (56618) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 16.83/17.19 , Z, T, U, W ) }.
% 16.83/17.19 (56619) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 16.83/17.19 , Z, T, U, W ) }.
% 16.83/17.19 (56620) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 16.83/17.19 , Z, T, U, W ) }.
% 16.83/17.19 (56621) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 16.83/17.19 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 16.83/17.19 (56622) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 16.83/17.19 X, Y, Z, T ) }.
% 16.83/17.19 (56623) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 16.83/17.19 Z, T, U, W ) }.
% 16.83/17.19 (56624) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 16.83/17.19 , T, X, T, Y ) }.
% 16.83/17.19 (56625) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 16.83/17.19 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 (56626) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 16.83/17.19 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 (56627) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 16.83/17.19 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 16.83/17.19 , Y, Z, T ) }.
% 16.83/17.19 (56628) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 16.83/17.19 ( Z, T, X, Y ) }.
% 16.83/17.19 (56629) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 16.83/17.19 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 16.83/17.19 (56630) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 16.83/17.19 X, Y, Z, Y ) }.
% 16.83/17.19 (56631) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 16.83/17.19 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 16.83/17.19 (56632) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 16.83/17.19 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 16.83/17.19 (56633) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 16.83/17.19 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 16.83/17.19 (56634) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 16.83/17.19 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 16.83/17.19 (56635) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 16.83/17.19 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 16.83/17.19 (56636) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 16.83/17.19 cong( X, Z, Y, Z ) }.
% 16.83/17.19 (56637) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 16.83/17.19 perp( X, Y, Y, Z ) }.
% 16.83/17.19 (56638) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 16.83/17.19 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 16.83/17.19 (56639) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 16.83/17.19 cong( Z, X, Z, Y ) }.
% 16.83/17.19 (56640) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 16.83/17.19 , perp( X, Y, Z, T ) }.
% 16.83/17.19 (56641) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 16.83/17.19 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 16.83/17.19 (56642) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 16.83/17.19 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 16.83/17.19 , W ) }.
% 16.83/17.19 (56643) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 16.83/17.19 , X, Z, T, U, T, W ) }.
% 16.83/17.19 (56644) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 16.83/17.19 , Y, Z, T, U, U, W ) }.
% 16.83/17.19 (56645) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 16.83/17.19 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 16.83/17.19 (56646) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 16.83/17.19 , T ) }.
% 16.83/17.19 (56647) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 16.83/17.19 ( X, Z, Y, T ) }.
% 16.83/17.19 (56648) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 16.83/17.19 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 16.83/17.19 (56649) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 16.83/17.19 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 16.83/17.19 (56650) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 16.83/17.19 (56651) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 16.83/17.19 midp( X, Y, Z ) }.
% 16.83/17.19 (56652) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 16.83/17.19 (56653) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 16.83/17.19 (56654) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 16.83/17.19 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 16.83/17.19 (56655) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 16.83/17.19 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 16.83/17.19 (56656) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 16.83/17.19 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 16.83/17.19 (56657) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 16.83/17.19 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 16.83/17.19 (56658) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 16.83/17.19 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 16.83/17.19 (56659) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 16.83/17.19 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 16.83/17.19 (56660) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 16.83/17.19 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 16.83/17.19 (56661) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 16.83/17.19 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 16.83/17.19 (56662) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 16.83/17.19 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 16.83/17.19 (56663) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 16.83/17.19 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 16.83/17.19 (56664) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 16.83/17.19 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 16.83/17.19 (56665) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 16.83/17.19 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 16.83/17.19 (56666) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 16.83/17.19 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 16.83/17.19 (56667) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 16.83/17.19 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 16.83/17.19 (56668) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 16.83/17.19 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 16.83/17.19 (56669) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 16.83/17.19 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 16.83/17.19 , T ) ) }.
% 16.83/17.19 (56670) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 16.83/17.19 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 16.83/17.19 (56671) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 16.83/17.19 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 16.83/17.19 (56672) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 16.83/17.19 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 16.83/17.19 (56673) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 16.83/17.19 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 16.83/17.19 (56674) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 16.83/17.19 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 16.83/17.19 ) }.
% 16.83/17.19 (56675) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 16.83/17.19 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 16.83/17.19 }.
% 16.83/17.19 (56676) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 16.83/17.19 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 16.83/17.19 (56677) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 16.83/17.19 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 16.83/17.19 (56678) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 16.83/17.19 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 16.83/17.19 (56679) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 16.83/17.19 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 16.83/17.19 (56680) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 16.83/17.19 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 16.83/17.19 (56681) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 16.83/17.19 , alpha1( X, Y, Z ) }.
% 16.83/17.19 (56682) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 16.83/17.19 ), Z, X ) }.
% 16.83/17.19 (56683) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 16.83/17.19 , Z ), Z, X ) }.
% 16.83/17.19 (56684) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 16.83/17.19 alpha1( X, Y, Z ) }.
% 16.83/17.19 (56685) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 16.83/17.19 ), X, X, Y ) }.
% 16.83/17.19 (56686) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 16.83/17.19 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 16.83/17.19 ) ) }.
% 16.83/17.19 (56687) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 16.83/17.19 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 16.83/17.19 (56688) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 16.83/17.19 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 16.83/17.19 }.
% 16.83/17.19 (56689) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 16.83/17.19 (56690) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 16.83/17.19 }.
% 16.83/17.19 (56691) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 16.83/17.19 alpha2( X, Y, Z, T ) }.
% 16.83/17.19 (56692) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 16.83/17.19 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 16.83/17.19 (56693) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 16.83/17.19 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 16.83/17.19 (56694) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 16.83/17.19 coll( skol16( W, Y, Z ), Y, Z ) }.
% 16.83/17.19 (56695) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 16.83/17.19 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 16.83/17.19 (56696) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 16.83/17.19 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 16.83/17.19 (56697) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 16.83/17.19 , coll( X, Y, skol18( X, Y ) ) }.
% 16.83/17.19 (56698) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 16.83/17.19 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 16.83/17.19 (56699) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 16.83/17.19 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 16.83/17.19 }.
% 16.83/17.19 (56700) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 16.83/17.19 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 16.83/17.19 }.
% 16.83/17.19 (56701) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol24, skol25, skol26 ) }.
% 16.83/17.19 (56702) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol24, skol27, skol28 ) }.
% 16.83/17.19 (56703) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol27, skol27, skol22 ) }.
% 16.83/17.19 (56704) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol24, skol23 ) }.
% 16.83/17.19 (56705) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol24, skol27 ) }.
% 16.83/17.19 (56706) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol29, skol29, skol22 ) }.
% 16.83/17.19 (56707) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol29, skol22 ) }.
% 16.83/17.19 (56708) {G0,W5,D2,L1,V0,M1} { ! cong( skol20, skol22, skol20, skol23 ) }.
% 16.83/17.19
% 16.83/17.19
% 16.83/17.19 Total Proof:
% 16.83/17.19
% 16.83/17.19 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 16.83/17.19 }.
% 16.83/17.19 parent0: (56584) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 16.83/17.19 }.
% 16.83/17.19 parent0: (56585) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 16.83/17.19 Z ), coll( Y, Z, X ) }.
% 16.83/17.19 parent0: (56586) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 16.83/17.19 ), coll( Y, Z, X ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 16.83/17.19 , T, Z ) }.
% 16.83/17.19 parent0: (56590) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 16.83/17.19 T, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 16.83/17.19 , X, Y ) }.
% 16.83/17.19 parent0: (56591) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 16.83/17.19 X, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 16.83/17.19 W, Z, T ), para( X, Y, Z, T ) }.
% 16.83/17.19 parent0: (56592) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 16.83/17.19 , Z, T ), para( X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 W := W
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 16.83/17.19 W, Z, T ), perp( X, Y, Z, T ) }.
% 16.83/17.19 parent0: (56593) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 16.83/17.19 , Z, T ), perp( X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 W := W
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 16.83/17.19 X, Y, T, Z ) }.
% 16.83/17.19 parent0: (56597) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.83/17.19 , Y, T, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 16.83/17.19 X, Z, Y, T ) }.
% 16.83/17.19 parent0: (56598) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.83/17.19 , Z, Y, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 16.83/17.19 Y, X, Z, T ) }.
% 16.83/17.19 parent0: (56599) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.83/17.19 , X, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 16.83/17.19 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 parent0: (56600) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 16.83/17.19 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 16.83/17.19 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.83/17.19 parent0: (56602) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 16.83/17.19 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 W := W
% 16.83/17.19 V0 := V0
% 16.83/17.19 V1 := V1
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 16.83/17.19 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 16.83/17.19 parent0: (56603) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 16.83/17.19 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 W := W
% 16.83/17.19 V0 := V0
% 16.83/17.19 V1 := V1
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 16.83/17.19 , T, Z ) }.
% 16.83/17.19 parent0: (56606) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 16.83/17.19 T, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 16.83/17.19 , X, Y ) }.
% 16.83/17.19 parent0: (56607) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 16.83/17.19 X, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 16.83/17.19 , W, Z, T ), cong( X, Y, Z, T ) }.
% 16.83/17.19 parent0: (56608) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 16.83/17.19 , Z, T ), cong( X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 W := W
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 16.83/17.19 , Y, U, W, Z, T, U, W ) }.
% 16.83/17.19 parent0: (56623) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 16.83/17.19 Y, U, W, Z, T, U, W ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 W := W
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 16.83/17.19 ( Z, X, Z, Y, T, X, T, Y ) }.
% 16.83/17.19 parent0: (56624) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 16.83/17.19 , X, Z, Y, T, X, T, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 16.83/17.19 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 parent0: (56626) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 16.83/17.19 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 16.83/17.19 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 16.83/17.19 ), cong( X, Y, Z, T ) }.
% 16.83/17.19 parent0: (56627) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 16.83/17.19 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 16.83/17.19 , cong( X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 W := W
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 3 ==> 3
% 16.83/17.19 4 ==> 4
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 16.83/17.19 , X, T ), cong( X, Z, Y, Z ) }.
% 16.83/17.19 parent0: (56636) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 16.83/17.19 , T ), cong( X, Z, Y, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 16.83/17.19 , T, Y, T ), perp( X, Y, Z, T ) }.
% 16.83/17.19 parent0: (56640) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 16.83/17.19 , Y, T ), perp( X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 16.83/17.19 , Y, Z ), midp( X, Y, Z ) }.
% 16.83/17.19 parent0: (56651) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 16.83/17.19 , Z ), midp( X, Y, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 16.83/17.19 , T, X, Z ), alpha1( X, Y, Z ) }.
% 16.83/17.19 parent0: (56681) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 16.83/17.19 , X, Z ), alpha1( X, Y, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 16.83/17.19 skol11( X, T, Z ), Z, X ) }.
% 16.83/17.19 parent0: (56682) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 16.83/17.19 ( X, T, Z ), Z, X ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol24, skol24,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 parent0: (56704) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol24,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (123) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol22, skol20,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 parent0: (56708) {G0,W5,D2,L1,V0,M1} { ! cong( skol20, skol22, skol20,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 factor: (57104) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 16.83/17.19 Z ) }.
% 16.83/17.19 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 16.83/17.19 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := X
% 16.83/17.19 Z := Z
% 16.83/17.19 T := Y
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (153) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 16.83/17.19 ( X, X, Z ) }.
% 16.83/17.19 parent0: (57104) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 16.83/17.19 , Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57108) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 16.83/17.19 X ), ! coll( Z, T, Y ) }.
% 16.83/17.19 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 16.83/17.19 }.
% 16.83/17.19 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 16.83/17.19 ), coll( Y, Z, X ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := Z
% 16.83/17.19 Y := X
% 16.83/17.19 Z := Y
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 16.83/17.19 ( X, Y, T ), coll( Z, X, T ) }.
% 16.83/17.19 parent0: (57108) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 16.83/17.19 , ! coll( Z, T, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Z
% 16.83/17.19 Y := T
% 16.83/17.19 Z := X
% 16.83/17.19 T := Y
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 2
% 16.83/17.19 1 ==> 0
% 16.83/17.19 2 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 factor: (57110) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 16.83/17.19 }.
% 16.83/17.19 parent0[0, 1]: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 16.83/17.19 coll( X, Y, T ), coll( Z, X, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := Z
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z
% 16.83/17.19 , X, Z ) }.
% 16.83/17.19 parent0: (57110) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57111) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 16.83/17.19 X ), ! coll( Z, T, Y ) }.
% 16.83/17.19 parent0[0]: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z,
% 16.83/17.19 X, Z ) }.
% 16.83/17.19 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 16.83/17.19 ), coll( Y, Z, X ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := Z
% 16.83/17.19 Y := X
% 16.83/17.19 Z := Y
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (212) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll
% 16.83/17.19 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 16.83/17.19 parent0: (57111) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 16.83/17.19 , ! coll( Z, T, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := X
% 16.83/17.19 T := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 factor: (57113) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 16.83/17.19 }.
% 16.83/17.19 parent0[1, 2]: (212) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), !
% 16.83/17.19 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := Y
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X
% 16.83/17.19 , Z, Y ) }.
% 16.83/17.19 parent0: (57113) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57114) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol20,
% 16.83/17.19 skol24 ) }.
% 16.83/17.19 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 16.83/17.19 X, Y ) }.
% 16.83/17.19 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol24, skol24,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := skol20
% 16.83/17.19 Y := skol24
% 16.83/17.19 Z := skol24
% 16.83/17.19 T := skol23
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (267) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol24, skol23,
% 16.83/17.19 skol20, skol24 ) }.
% 16.83/17.19 parent0: (57114) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol20,
% 16.83/17.19 skol24 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57115) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 16.83/17.19 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 16.83/17.19 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 16.83/17.19 , Z, T ), para( X, Y, Z, T ) }.
% 16.83/17.19 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 16.83/17.19 X, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := U
% 16.83/17.19 T := W
% 16.83/17.19 U := Z
% 16.83/17.19 W := T
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := Z
% 16.83/17.19 Y := T
% 16.83/17.19 Z := X
% 16.83/17.19 T := Y
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 16.83/17.19 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 16.83/17.19 parent0: (57115) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 16.83/17.19 U, W ), ! perp( Z, T, X, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := U
% 16.83/17.19 Y := W
% 16.83/17.19 Z := X
% 16.83/17.19 T := Y
% 16.83/17.19 U := Z
% 16.83/17.19 W := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57120) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol20, skol24 )
% 16.83/17.19 , para( X, Y, skol24, skol23 ) }.
% 16.83/17.19 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 16.83/17.19 , Z, T ), para( X, Y, Z, T ) }.
% 16.83/17.19 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol24, skol24,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := skol24
% 16.83/17.19 T := skol23
% 16.83/17.19 U := skol20
% 16.83/17.19 W := skol24
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (286) {G1,W10,D2,L2,V2,M2} R(8,119) { ! perp( X, Y, skol20,
% 16.83/17.19 skol24 ), para( X, Y, skol24, skol23 ) }.
% 16.83/17.19 parent0: (57120) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol20, skol24 ),
% 16.83/17.19 para( X, Y, skol24, skol23 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57122) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 16.83/17.19 ( X, Z, Y, T ) }.
% 16.83/17.19 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.83/17.19 , Y, T, Z ) }.
% 16.83/17.19 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.83/17.19 , Z, Y, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := Y
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (354) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 16.83/17.19 cyclic( X, Z, T, Y ) }.
% 16.83/17.19 parent0: (57122) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 16.83/17.19 , Z, Y, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := Y
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 1
% 16.83/17.19 1 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57123) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 16.83/17.19 ( X, Z, Y, T ) }.
% 16.83/17.19 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.83/17.19 , X, Z, T ) }.
% 16.83/17.19 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.83/17.19 , Z, Y, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := Y
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (371) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 16.83/17.19 cyclic( Y, Z, X, T ) }.
% 16.83/17.19 parent0: (57123) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 16.83/17.19 , Z, Y, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := X
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57124) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 16.83/17.19 ( X, Y, T, Z ) }.
% 16.83/17.19 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.83/17.19 , X, Z, T ) }.
% 16.83/17.19 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.83/17.19 , Y, T, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := T
% 16.83/17.19 T := Z
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (373) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 16.83/17.19 cyclic( Y, X, T, Z ) }.
% 16.83/17.19 parent0: (57124) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 16.83/17.19 , Y, T, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := X
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57125) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol24,
% 16.83/17.19 skol20 ) }.
% 16.83/17.19 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 16.83/17.19 T, Z ) }.
% 16.83/17.19 parent1[0]: (267) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol24, skol23,
% 16.83/17.19 skol20, skol24 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := skol24
% 16.83/17.19 Y := skol23
% 16.83/17.19 Z := skol20
% 16.83/17.19 T := skol24
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (385) {G2,W5,D2,L1,V0,M1} R(267,6) { perp( skol24, skol23,
% 16.83/17.19 skol24, skol20 ) }.
% 16.83/17.19 parent0: (57125) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol24,
% 16.83/17.19 skol20 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57126) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol24,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 16.83/17.19 X, Y ) }.
% 16.83/17.19 parent1[0]: (385) {G2,W5,D2,L1,V0,M1} R(267,6) { perp( skol24, skol23,
% 16.83/17.19 skol24, skol20 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := skol24
% 16.83/17.19 Y := skol23
% 16.83/17.19 Z := skol24
% 16.83/17.19 T := skol20
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (389) {G3,W5,D2,L1,V0,M1} R(385,7) { perp( skol24, skol20,
% 16.83/17.19 skol24, skol23 ) }.
% 16.83/17.19 parent0: (57126) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol24,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57130) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 16.83/17.19 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 16.83/17.19 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.83/17.19 , X, Z, T ) }.
% 16.83/17.19 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 16.83/17.19 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (398) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 16.83/17.19 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 16.83/17.19 parent0: (57130) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 16.83/17.19 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := T
% 16.83/17.19 T := U
% 16.83/17.19 U := X
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 2
% 16.83/17.19 1 ==> 0
% 16.83/17.19 2 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57133) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 16.83/17.19 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.83/17.19 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 16.83/17.19 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.83/17.19 , Y, T, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := T
% 16.83/17.19 T := U
% 16.83/17.19 U := X
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := U
% 16.83/17.19 T := Z
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (403) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 16.83/17.19 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.83/17.19 parent0: (57133) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.83/17.19 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 factor: (57135) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 16.83/17.19 Y, T, T ) }.
% 16.83/17.19 parent0[0, 1]: (398) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 16.83/17.19 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := T
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (407) {G2,W10,D2,L2,V4,M2} F(398) { ! cyclic( X, Y, Z, T ),
% 16.83/17.19 cyclic( Z, Y, T, T ) }.
% 16.83/17.19 parent0: (57135) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 16.83/17.19 , Y, T, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57137) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 16.83/17.19 ) }.
% 16.83/17.19 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 16.83/17.19 }.
% 16.83/17.19 parent1[0]: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X,
% 16.83/17.19 Z, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := X
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (462) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll(
% 16.83/17.19 Z, X, X ) }.
% 16.83/17.19 parent0: (57137) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := Y
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 1
% 16.83/17.19 1 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57138) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 16.83/17.19 ) }.
% 16.83/17.19 parent0[0]: (462) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 16.83/17.19 , X, X ) }.
% 16.83/17.19 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := X
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (470) {G6,W8,D2,L2,V3,M2} R(462,1) { coll( X, Y, Y ), ! coll(
% 16.83/17.19 Z, Y, X ) }.
% 16.83/17.19 parent0: (57138) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := X
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57139) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 16.83/17.19 ) }.
% 16.83/17.19 parent0[0]: (462) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 16.83/17.19 , X, X ) }.
% 16.83/17.19 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := Y
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (471) {G6,W8,D2,L2,V3,M2} R(462,0) { coll( X, Y, Y ), ! coll(
% 16.83/17.19 Y, X, Z ) }.
% 16.83/17.19 parent0: (57139) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := X
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57141) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 16.83/17.19 ) }.
% 16.83/17.19 parent0[0]: (462) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 16.83/17.19 , X, X ) }.
% 16.83/17.19 parent1[0]: (470) {G6,W8,D2,L2,V3,M2} R(462,1) { coll( X, Y, Y ), ! coll( Z
% 16.83/17.19 , Y, X ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Y
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (472) {G7,W8,D2,L2,V3,M2} R(470,462) { ! coll( X, Y, Z ), coll
% 16.83/17.19 ( Y, Z, Z ) }.
% 16.83/17.19 parent0: (57141) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Z
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := X
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 1
% 16.83/17.19 1 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57142) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 16.83/17.19 ) }.
% 16.83/17.19 parent0[1]: (471) {G6,W8,D2,L2,V3,M2} R(462,0) { coll( X, Y, Y ), ! coll( Y
% 16.83/17.19 , X, Z ) }.
% 16.83/17.19 parent1[0]: (471) {G6,W8,D2,L2,V3,M2} R(462,0) { coll( X, Y, Y ), ! coll( Y
% 16.83/17.19 , X, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := X
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := X
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (475) {G7,W8,D2,L2,V3,M2} R(471,471) { ! coll( X, Y, Z ), coll
% 16.83/17.19 ( X, Y, Y ) }.
% 16.83/17.19 parent0: (57142) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 1
% 16.83/17.19 1 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57146) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 16.83/17.19 X ), ! coll( X, Y, T ) }.
% 16.83/17.19 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 16.83/17.19 ), coll( Y, Z, X ) }.
% 16.83/17.19 parent1[1]: (475) {G7,W8,D2,L2,V3,M2} R(471,471) { ! coll( X, Y, Z ), coll
% 16.83/17.19 ( X, Y, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := Y
% 16.83/17.19 T := Y
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := T
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (490) {G8,W12,D2,L3,V4,M3} R(475,2) { ! coll( X, Y, Z ), !
% 16.83/17.19 coll( X, Y, T ), coll( T, Y, X ) }.
% 16.83/17.19 parent0: (57146) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 16.83/17.19 , ! coll( X, Y, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := T
% 16.83/17.19 T := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 1
% 16.83/17.19 1 ==> 2
% 16.83/17.19 2 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 factor: (57149) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 16.83/17.19 }.
% 16.83/17.19 parent0[0, 1]: (490) {G8,W12,D2,L3,V4,M3} R(475,2) { ! coll( X, Y, Z ), !
% 16.83/17.19 coll( X, Y, T ), coll( T, Y, X ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := Z
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (491) {G9,W8,D2,L2,V3,M2} F(490) { ! coll( X, Y, Z ), coll( Z
% 16.83/17.19 , Y, X ) }.
% 16.83/17.19 parent0: (57149) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57150) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 16.83/17.19 ) }.
% 16.83/17.19 parent0[0]: (491) {G9,W8,D2,L2,V3,M2} F(490) { ! coll( X, Y, Z ), coll( Z,
% 16.83/17.19 Y, X ) }.
% 16.83/17.19 parent1[1]: (472) {G7,W8,D2,L2,V3,M2} R(470,462) { ! coll( X, Y, Z ), coll
% 16.83/17.19 ( Y, Z, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Y
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := Z
% 16.83/17.19 Y := X
% 16.83/17.19 Z := Y
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (494) {G10,W8,D2,L2,V3,M2} R(491,472) { coll( X, X, Y ), !
% 16.83/17.19 coll( Z, Y, X ) }.
% 16.83/17.19 parent0: (57150) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 16.83/17.19 }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := X
% 16.83/17.19 Z := Z
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57151) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol22, skol23,
% 16.83/17.19 skol20 ) }.
% 16.83/17.19 parent0[0]: (123) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol22, skol20,
% 16.83/17.19 skol23 ) }.
% 16.83/17.19 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 16.83/17.19 , T, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := skol20
% 16.83/17.19 Y := skol22
% 16.83/17.19 Z := skol23
% 16.83/17.19 T := skol20
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (509) {G1,W5,D2,L1,V0,M1} R(22,123) { ! cong( skol20, skol22,
% 16.83/17.19 skol23, skol20 ) }.
% 16.83/17.19 parent0: (57151) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol22, skol23,
% 16.83/17.19 skol20 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57152) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol20,
% 16.83/17.19 skol22 ) }.
% 16.83/17.19 parent0[0]: (509) {G1,W5,D2,L1,V0,M1} R(22,123) { ! cong( skol20, skol22,
% 16.83/17.19 skol23, skol20 ) }.
% 16.83/17.19 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 16.83/17.19 , X, Y ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := skol23
% 16.83/17.19 Y := skol20
% 16.83/17.19 Z := skol20
% 16.83/17.19 T := skol22
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (517) {G2,W5,D2,L1,V0,M1} R(23,509) { ! cong( skol23, skol20,
% 16.83/17.19 skol20, skol22 ) }.
% 16.83/17.19 parent0: (57152) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol20,
% 16.83/17.19 skol22 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57153) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol22,
% 16.83/17.19 skol20 ) }.
% 16.83/17.19 parent0[0]: (517) {G2,W5,D2,L1,V0,M1} R(23,509) { ! cong( skol23, skol20,
% 16.83/17.19 skol20, skol22 ) }.
% 16.83/17.19 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 16.83/17.19 , T, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := skol23
% 16.83/17.19 Y := skol20
% 16.83/17.19 Z := skol22
% 16.83/17.19 T := skol20
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (529) {G3,W5,D2,L1,V0,M1} R(517,22) { ! cong( skol23, skol20,
% 16.83/17.19 skol22, skol20 ) }.
% 16.83/17.19 parent0: (57153) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol22,
% 16.83/17.19 skol20 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57154) {G1,W10,D2,L2,V2,M2} { ! cong( skol23, skol20, X, Y )
% 16.83/17.19 , ! cong( X, Y, skol22, skol20 ) }.
% 16.83/17.19 parent0[0]: (529) {G3,W5,D2,L1,V0,M1} R(517,22) { ! cong( skol23, skol20,
% 16.83/17.19 skol22, skol20 ) }.
% 16.83/17.19 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 16.83/17.19 W, Z, T ), cong( X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := skol23
% 16.83/17.19 Y := skol20
% 16.83/17.19 Z := skol22
% 16.83/17.19 T := skol20
% 16.83/17.19 U := X
% 16.83/17.19 W := Y
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (536) {G4,W10,D2,L2,V2,M2} R(24,529) { ! cong( skol23, skol20
% 16.83/17.19 , X, Y ), ! cong( X, Y, skol22, skol20 ) }.
% 16.83/17.19 parent0: (57154) {G1,W10,D2,L2,V2,M2} { ! cong( skol23, skol20, X, Y ), !
% 16.83/17.19 cong( X, Y, skol22, skol20 ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57155) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 16.83/17.19 ), ! para( X, Y, U, W ) }.
% 16.83/17.19 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 16.83/17.19 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.83/17.19 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 16.83/17.19 , Y, U, W, Z, T, U, W ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := Z
% 16.83/17.19 T := T
% 16.83/17.19 U := U
% 16.83/17.19 W := W
% 16.83/17.19 V0 := Z
% 16.83/17.19 V1 := T
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := U
% 16.83/17.19 T := W
% 16.83/17.19 U := Z
% 16.83/17.19 W := T
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (797) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 16.83/17.19 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 16.83/17.19 parent0: (57155) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 16.83/17.19 , ! para( X, Y, U, W ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := U
% 16.83/17.19 T := W
% 16.83/17.19 U := Z
% 16.83/17.19 W := T
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 1
% 16.83/17.19 1 ==> 0
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57156) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 16.83/17.19 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 16.83/17.19 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 16.83/17.19 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.83/17.19 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 16.83/17.19 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := Y
% 16.83/17.19 Y := Z
% 16.83/17.19 Z := X
% 16.83/17.19 T := T
% 16.83/17.19 end
% 16.83/17.19 substitution1:
% 16.83/17.19 X := T
% 16.83/17.19 Y := Y
% 16.83/17.19 Z := T
% 16.83/17.19 T := Z
% 16.83/17.19 U := X
% 16.83/17.19 W := Y
% 16.83/17.19 V0 := X
% 16.83/17.19 V1 := Z
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 subsumption: (850) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 16.83/17.19 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 16.83/17.19 parent0: (57156) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 16.83/17.19 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 16.83/17.19 substitution0:
% 16.83/17.19 X := X
% 16.83/17.19 Y := T
% 16.83/17.19 Z := Z
% 16.83/17.19 T := Y
% 16.83/17.19 end
% 16.83/17.19 permutation0:
% 16.83/17.19 0 ==> 0
% 16.83/17.19 1 ==> 1
% 16.83/17.19 2 ==> 2
% 16.83/17.19 end
% 16.83/17.19
% 16.83/17.19 resolution: (57157) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 16.83/17.19 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 16.83/17.19 cyclic( X, Y, Z, T ) }.
% 16.83/17.19 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 16.83/17.20 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 16.83/17.20 ), cong( X, Y, Z, T ) }.
% 16.83/17.20 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 16.83/17.20 Z, X, Z, Y, T, X, T, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := X
% 16.83/17.20 T := Y
% 16.83/17.20 U := Z
% 16.83/17.20 W := T
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := T
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 factor: (57159) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 16.83/17.20 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 16.83/17.20 parent0[0, 2]: (57157) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 16.83/17.20 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 16.83/17.20 cyclic( X, Y, Z, T ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (923) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 16.83/17.20 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 16.83/17.20 parent0: (57159) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 16.83/17.20 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 1 ==> 1
% 16.83/17.20 2 ==> 3
% 16.83/17.20 3 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 factor: (57164) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 16.83/17.20 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 16.83/17.20 parent0[0, 2]: (923) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 16.83/17.20 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 16.83/17.20 }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (956) {G2,W15,D2,L3,V3,M3} F(923) { ! cyclic( X, Y, Z, X ), !
% 16.83/17.20 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 16.83/17.20 parent0: (57164) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 16.83/17.20 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 1 ==> 1
% 16.83/17.20 2 ==> 2
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57166) {G1,W9,D2,L2,V0,M2} { ! perp( skol24, skol20, skol24,
% 16.83/17.20 skol23 ), alpha1( skol24, skol24, skol23 ) }.
% 16.83/17.20 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 16.83/17.20 T, X, Z ), alpha1( X, Y, Z ) }.
% 16.83/17.20 parent1[0]: (389) {G3,W5,D2,L1,V0,M1} R(385,7) { perp( skol24, skol20,
% 16.83/17.20 skol24, skol23 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := skol24
% 16.83/17.20 Z := skol23
% 16.83/17.20 T := skol20
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57167) {G2,W4,D2,L1,V0,M1} { alpha1( skol24, skol24, skol23 )
% 16.83/17.20 }.
% 16.83/17.20 parent0[0]: (57166) {G1,W9,D2,L2,V0,M2} { ! perp( skol24, skol20, skol24,
% 16.83/17.20 skol23 ), alpha1( skol24, skol24, skol23 ) }.
% 16.83/17.20 parent1[0]: (389) {G3,W5,D2,L1,V0,M1} R(385,7) { perp( skol24, skol20,
% 16.83/17.20 skol24, skol23 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (4199) {G4,W4,D2,L1,V0,M1} R(96,389);r(389) { alpha1( skol24,
% 16.83/17.20 skol24, skol23 ) }.
% 16.83/17.20 parent0: (57167) {G2,W4,D2,L1,V0,M1} { alpha1( skol24, skol24, skol23 )
% 16.83/17.20 }.
% 16.83/17.20 substitution0:
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57168) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T
% 16.83/17.20 , Y ) }.
% 16.83/17.20 parent0[1]: (470) {G6,W8,D2,L2,V3,M2} R(462,1) { coll( X, Y, Y ), ! coll( Z
% 16.83/17.20 , Y, X ) }.
% 16.83/17.20 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 16.83/17.20 ( X, T, Z ), Z, X ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := skol11( X, Z, Y )
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := T
% 16.83/17.20 Z := Y
% 16.83/17.20 T := Z
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (4322) {G7,W8,D2,L2,V3,M2} R(97,470) { ! alpha1( X, Y, Z ),
% 16.83/17.20 coll( X, Z, Z ) }.
% 16.83/17.20 parent0: (57168) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T, Y
% 16.83/17.20 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Z
% 16.83/17.20 Z := T
% 16.83/17.20 T := Y
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 1
% 16.83/17.20 1 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57169) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol24, X, skol23
% 16.83/17.20 ), skol23, skol24 ) }.
% 16.83/17.20 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 16.83/17.20 ( X, T, Z ), Z, X ) }.
% 16.83/17.20 parent1[0]: (4199) {G4,W4,D2,L1,V0,M1} R(96,389);r(389) { alpha1( skol24,
% 16.83/17.20 skol24, skol23 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := skol24
% 16.83/17.20 Z := skol23
% 16.83/17.20 T := X
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (4365) {G5,W7,D3,L1,V1,M1} R(4199,97) { coll( skol11( skol24,
% 16.83/17.20 X, skol23 ), skol23, skol24 ) }.
% 16.83/17.20 parent0: (57169) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol24, X, skol23 ),
% 16.83/17.20 skol23, skol24 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57170) {G6,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol23 )
% 16.83/17.20 }.
% 16.83/17.20 parent0[1]: (494) {G10,W8,D2,L2,V3,M2} R(491,472) { coll( X, X, Y ), ! coll
% 16.83/17.20 ( Z, Y, X ) }.
% 16.83/17.20 parent1[0]: (4365) {G5,W7,D3,L1,V1,M1} R(4199,97) { coll( skol11( skol24, X
% 16.83/17.20 , skol23 ), skol23, skol24 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := skol23
% 16.83/17.20 Z := skol11( skol24, X, skol23 )
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (7469) {G11,W4,D2,L1,V0,M1} R(4365,494) { coll( skol24, skol24
% 16.83/17.20 , skol23 ) }.
% 16.83/17.20 parent0: (57170) {G6,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol23 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57171) {G2,W5,D2,L1,V0,M1} { para( skol24, skol23, skol24,
% 16.83/17.20 skol23 ) }.
% 16.83/17.20 parent0[0]: (286) {G1,W10,D2,L2,V2,M2} R(8,119) { ! perp( X, Y, skol20,
% 16.83/17.20 skol24 ), para( X, Y, skol24, skol23 ) }.
% 16.83/17.20 parent1[0]: (267) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol24, skol23,
% 16.83/17.20 skol20, skol24 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := skol23
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (15496) {G2,W5,D2,L1,V0,M1} R(286,267) { para( skol24, skol23
% 16.83/17.20 , skol24, skol23 ) }.
% 16.83/17.20 parent0: (57171) {G2,W5,D2,L1,V0,M1} { para( skol24, skol23, skol24,
% 16.83/17.20 skol23 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57172) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol24, skol23, X
% 16.83/17.20 , Y, skol24, skol23 ) }.
% 16.83/17.20 parent0[0]: (797) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 16.83/17.20 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 16.83/17.20 parent1[0]: (15496) {G2,W5,D2,L1,V0,M1} R(286,267) { para( skol24, skol23,
% 16.83/17.20 skol24, skol23 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := skol23
% 16.83/17.20 Z := skol24
% 16.83/17.20 T := skol23
% 16.83/17.20 U := X
% 16.83/17.20 W := Y
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (47618) {G3,W9,D2,L1,V2,M1} R(797,15496) { eqangle( X, Y,
% 16.83/17.20 skol24, skol23, X, Y, skol24, skol23 ) }.
% 16.83/17.20 parent0: (57172) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol24, skol23, X, Y
% 16.83/17.20 , skol24, skol23 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57173) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol23, skol24,
% 16.83/17.20 skol24 ), ! eqangle( skol24, X, skol24, skol23, skol24, X, skol24, skol23
% 16.83/17.20 ) }.
% 16.83/17.20 parent0[0]: (850) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 16.83/17.20 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 16.83/17.20 parent1[0]: (7469) {G11,W4,D2,L1,V0,M1} R(4365,494) { coll( skol24, skol24
% 16.83/17.20 , skol23 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := skol24
% 16.83/17.20 Z := skol23
% 16.83/17.20 T := X
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57174) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol23, skol24,
% 16.83/17.20 skol24 ) }.
% 16.83/17.20 parent0[1]: (57173) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol23, skol24,
% 16.83/17.20 skol24 ), ! eqangle( skol24, X, skol24, skol23, skol24, X, skol24, skol23
% 16.83/17.20 ) }.
% 16.83/17.20 parent1[0]: (47618) {G3,W9,D2,L1,V2,M1} R(797,15496) { eqangle( X, Y,
% 16.83/17.20 skol24, skol23, X, Y, skol24, skol23 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (50415) {G12,W5,D2,L1,V1,M1} R(850,7469);r(47618) { cyclic( X
% 16.83/17.20 , skol23, skol24, skol24 ) }.
% 16.83/17.20 parent0: (57174) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol23, skol24, skol24 )
% 16.83/17.20 }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57175) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol24,
% 16.83/17.20 skol24 ) }.
% 16.83/17.20 parent0[1]: (373) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 16.83/17.20 cyclic( Y, X, T, Z ) }.
% 16.83/17.20 parent1[0]: (50415) {G12,W5,D2,L1,V1,M1} R(850,7469);r(47618) { cyclic( X,
% 16.83/17.20 skol23, skol24, skol24 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol23
% 16.83/17.20 Y := X
% 16.83/17.20 Z := skol24
% 16.83/17.20 T := skol24
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (50529) {G13,W5,D2,L1,V1,M1} R(50415,373) { cyclic( skol23, X
% 16.83/17.20 , skol24, skol24 ) }.
% 16.83/17.20 parent0: (57175) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol24, skol24 )
% 16.83/17.20 }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57176) {G3,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol24,
% 16.83/17.20 skol24 ) }.
% 16.83/17.20 parent0[0]: (407) {G2,W10,D2,L2,V4,M2} F(398) { ! cyclic( X, Y, Z, T ),
% 16.83/17.20 cyclic( Z, Y, T, T ) }.
% 16.83/17.20 parent1[0]: (50529) {G13,W5,D2,L1,V1,M1} R(50415,373) { cyclic( skol23, X,
% 16.83/17.20 skol24, skol24 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol23
% 16.83/17.20 Y := X
% 16.83/17.20 Z := skol24
% 16.83/17.20 T := skol24
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (50541) {G14,W5,D2,L1,V1,M1} R(50529,407) { cyclic( skol24, X
% 16.83/17.20 , skol24, skol24 ) }.
% 16.83/17.20 parent0: (57176) {G3,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol24, skol24 )
% 16.83/17.20 }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57177) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, skol24, X,
% 16.83/17.20 skol24 ) }.
% 16.83/17.20 parent0[1]: (371) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 16.83/17.20 cyclic( Y, Z, X, T ) }.
% 16.83/17.20 parent1[0]: (50541) {G14,W5,D2,L1,V1,M1} R(50529,407) { cyclic( skol24, X,
% 16.83/17.20 skol24, skol24 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := skol24
% 16.83/17.20 Z := X
% 16.83/17.20 T := skol24
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (50563) {G15,W5,D2,L1,V1,M1} R(50541,371) { cyclic( skol24,
% 16.83/17.20 skol24, X, skol24 ) }.
% 16.83/17.20 parent0: (57177) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, skol24, X, skol24 )
% 16.83/17.20 }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57178) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, skol24, skol24,
% 16.83/17.20 X ) }.
% 16.83/17.20 parent0[0]: (354) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 16.83/17.20 cyclic( X, Z, T, Y ) }.
% 16.83/17.20 parent1[0]: (50541) {G14,W5,D2,L1,V1,M1} R(50529,407) { cyclic( skol24, X,
% 16.83/17.20 skol24, skol24 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := X
% 16.83/17.20 Z := skol24
% 16.83/17.20 T := skol24
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (50564) {G15,W5,D2,L1,V1,M1} R(50541,354) { cyclic( skol24,
% 16.83/17.20 skol24, skol24, X ) }.
% 16.83/17.20 parent0: (57178) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, skol24, skol24, X )
% 16.83/17.20 }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57180) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol24, skol24,
% 16.83/17.20 skol24, X ), cyclic( skol24, skol24, X, Y ) }.
% 16.83/17.20 parent0[2]: (403) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 16.83/17.20 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.83/17.20 parent1[0]: (50563) {G15,W5,D2,L1,V1,M1} R(50541,371) { cyclic( skol24,
% 16.83/17.20 skol24, X, skol24 ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := skol24
% 16.83/17.20 Z := skol24
% 16.83/17.20 T := X
% 16.83/17.20 U := Y
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57181) {G3,W5,D2,L1,V2,M1} { cyclic( skol24, skol24, X, Y )
% 16.83/17.20 }.
% 16.83/17.20 parent0[0]: (57180) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol24, skol24,
% 16.83/17.20 skol24, X ), cyclic( skol24, skol24, X, Y ) }.
% 16.83/17.20 parent1[0]: (50564) {G15,W5,D2,L1,V1,M1} R(50541,354) { cyclic( skol24,
% 16.83/17.20 skol24, skol24, X ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (50569) {G16,W5,D2,L1,V2,M1} R(50563,403);r(50564) { cyclic(
% 16.83/17.20 skol24, skol24, X, Y ) }.
% 16.83/17.20 parent0: (57181) {G3,W5,D2,L1,V2,M1} { cyclic( skol24, skol24, X, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57182) {G2,W10,D2,L2,V3,M2} { cyclic( skol24, X, Y, Z ), !
% 16.83/17.20 cyclic( skol24, skol24, Z, X ) }.
% 16.83/17.20 parent0[0]: (403) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 16.83/17.20 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.83/17.20 parent1[0]: (50569) {G16,W5,D2,L1,V2,M1} R(50563,403);r(50564) { cyclic(
% 16.83/17.20 skol24, skol24, X, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := skol24
% 16.83/17.20 Z := X
% 16.83/17.20 T := Y
% 16.83/17.20 U := Z
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57184) {G3,W5,D2,L1,V3,M1} { cyclic( skol24, X, Y, Z ) }.
% 16.83/17.20 parent0[1]: (57182) {G2,W10,D2,L2,V3,M2} { cyclic( skol24, X, Y, Z ), !
% 16.83/17.20 cyclic( skol24, skol24, Z, X ) }.
% 16.83/17.20 parent1[0]: (50569) {G16,W5,D2,L1,V2,M1} R(50563,403);r(50564) { cyclic(
% 16.83/17.20 skol24, skol24, X, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := Z
% 16.83/17.20 Y := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (50787) {G17,W5,D2,L1,V3,M1} R(50569,403);r(50569) { cyclic(
% 16.83/17.20 skol24, X, Y, Z ) }.
% 16.83/17.20 parent0: (57184) {G3,W5,D2,L1,V3,M1} { cyclic( skol24, X, Y, Z ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57185) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 16.83/17.20 ( skol24, X, T, Y ) }.
% 16.83/17.20 parent0[0]: (403) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 16.83/17.20 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.83/17.20 parent1[0]: (50787) {G17,W5,D2,L1,V3,M1} R(50569,403);r(50569) { cyclic(
% 16.83/17.20 skol24, X, Y, Z ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := skol24
% 16.83/17.20 Y := X
% 16.83/17.20 Z := Y
% 16.83/17.20 T := Z
% 16.83/17.20 U := T
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57187) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 16.83/17.20 parent0[1]: (57185) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 16.83/17.20 ( skol24, X, T, Y ) }.
% 16.83/17.20 parent1[0]: (50787) {G17,W5,D2,L1,V3,M1} R(50569,403);r(50569) { cyclic(
% 16.83/17.20 skol24, X, Y, Z ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := T
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := T
% 16.83/17.20 Z := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (50806) {G18,W5,D2,L1,V4,M1} R(50787,403);r(50787) { cyclic( X
% 16.83/17.20 , Y, Z, T ) }.
% 16.83/17.20 parent0: (57187) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := T
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57190) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 16.83/17.20 , Y, X, Y ) }.
% 16.83/17.20 parent0[0]: (956) {G2,W15,D2,L3,V3,M3} F(923) { ! cyclic( X, Y, Z, X ), !
% 16.83/17.20 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 16.83/17.20 parent1[0]: (50806) {G18,W5,D2,L1,V4,M1} R(50787,403);r(50787) { cyclic( X
% 16.83/17.20 , Y, Z, T ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57192) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 16.83/17.20 parent0[0]: (57190) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 16.83/17.20 , Y, X, Y ) }.
% 16.83/17.20 parent1[0]: (50806) {G18,W5,D2,L1,V4,M1} R(50787,403);r(50787) { cyclic( X
% 16.83/17.20 , Y, Z, T ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (56372) {G19,W5,D2,L1,V2,M1} S(956);r(50806);r(50806) { cong(
% 16.83/17.20 X, Y, X, Y ) }.
% 16.83/17.20 parent0: (57192) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57193) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 16.83/17.20 X, Y, Z ) }.
% 16.83/17.20 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 16.83/17.20 T, Y, T ), perp( X, Y, Z, T ) }.
% 16.83/17.20 parent1[0]: (56372) {G19,W5,D2,L1,V2,M1} S(956);r(50806);r(50806) { cong( X
% 16.83/17.20 , Y, X, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := X
% 16.83/17.20 Z := Y
% 16.83/17.20 T := Z
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57195) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 16.83/17.20 parent0[0]: (57193) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 16.83/17.20 X, Y, Z ) }.
% 16.83/17.20 parent1[0]: (56372) {G19,W5,D2,L1,V2,M1} S(956);r(50806);r(50806) { cong( X
% 16.83/17.20 , Y, X, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Z
% 16.83/17.20 Z := Y
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (56389) {G20,W5,D2,L1,V3,M1} R(56372,56);r(56372) { perp( X, X
% 16.83/17.20 , Z, Y ) }.
% 16.83/17.20 parent0: (57195) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57196) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 16.83/17.20 X, T, U ) }.
% 16.83/17.20 parent0[0]: (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 16.83/17.20 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 16.83/17.20 parent1[0]: (56389) {G20,W5,D2,L1,V3,M1} R(56372,56);r(56372) { perp( X, X
% 16.83/17.20 , Z, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := X
% 16.83/17.20 Z := Y
% 16.83/17.20 T := Z
% 16.83/17.20 U := T
% 16.83/17.20 W := U
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Z
% 16.83/17.20 Z := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57198) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 16.83/17.20 parent0[1]: (57196) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 16.83/17.20 X, T, U ) }.
% 16.83/17.20 parent1[0]: (56389) {G20,W5,D2,L1,V3,M1} R(56372,56);r(56372) { perp( X, X
% 16.83/17.20 , Z, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := U
% 16.83/17.20 Y := Z
% 16.83/17.20 Z := T
% 16.83/17.20 T := X
% 16.83/17.20 U := Y
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := U
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (56426) {G21,W5,D2,L1,V4,M1} R(56389,276);r(56389) { para( X,
% 16.83/17.20 Y, Z, T ) }.
% 16.83/17.20 parent0: (57198) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := T
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57199) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 16.83/17.20 parent0[0]: (153) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 16.83/17.20 ( X, X, Z ) }.
% 16.83/17.20 parent1[0]: (56389) {G20,W5,D2,L1,V3,M1} R(56372,56);r(56372) { perp( X, X
% 16.83/17.20 , Z, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := X
% 16.83/17.20 Z := Y
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (56428) {G21,W4,D2,L1,V2,M1} R(56389,153) { alpha1( X, X, Y )
% 16.83/17.20 }.
% 16.83/17.20 parent0: (57199) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57200) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 16.83/17.20 Y, T, U ) }.
% 16.83/17.20 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 16.83/17.20 , Z, T ), perp( X, Y, Z, T ) }.
% 16.83/17.20 parent1[0]: (56389) {G20,W5,D2,L1,V3,M1} R(56372,56);r(56372) { perp( X, X
% 16.83/17.20 , Z, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := T
% 16.83/17.20 T := U
% 16.83/17.20 U := Z
% 16.83/17.20 W := Z
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := Z
% 16.83/17.20 Y := U
% 16.83/17.20 Z := T
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57201) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 16.83/17.20 parent0[0]: (57200) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 16.83/17.20 Y, T, U ) }.
% 16.83/17.20 parent1[0]: (56426) {G21,W5,D2,L1,V4,M1} R(56389,276);r(56389) { para( X, Y
% 16.83/17.20 , Z, T ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := T
% 16.83/17.20 U := U
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := Z
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (56448) {G22,W5,D2,L1,V4,M1} R(56389,9);r(56426) { perp( X, Y
% 16.83/17.20 , T, U ) }.
% 16.83/17.20 parent0: (57201) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := W
% 16.83/17.20 T := T
% 16.83/17.20 U := U
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57202) {G8,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 16.83/17.20 parent0[0]: (4322) {G7,W8,D2,L2,V3,M2} R(97,470) { ! alpha1( X, Y, Z ),
% 16.83/17.20 coll( X, Z, Z ) }.
% 16.83/17.20 parent1[0]: (56428) {G21,W4,D2,L1,V2,M1} R(56389,153) { alpha1( X, X, Y )
% 16.83/17.20 }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := X
% 16.83/17.20 Z := Y
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (56472) {G22,W4,D2,L1,V2,M1} R(56428,4322) { coll( X, Y, Y )
% 16.83/17.20 }.
% 16.83/17.20 parent0: (57202) {G8,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57203) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 16.83/17.20 , Y ) }.
% 16.83/17.20 parent0[1]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 16.83/17.20 Y, Z ), midp( X, Y, Z ) }.
% 16.83/17.20 parent1[0]: (56472) {G22,W4,D2,L1,V2,M1} R(56428,4322) { coll( X, Y, Y )
% 16.83/17.20 }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Y
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57204) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 16.83/17.20 parent0[0]: (57203) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 16.83/17.20 , Y ) }.
% 16.83/17.20 parent1[0]: (56372) {G19,W5,D2,L1,V2,M1} S(956);r(50806);r(50806) { cong( X
% 16.83/17.20 , Y, X, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (56493) {G23,W4,D2,L1,V2,M1} R(56472,67);r(56372) { midp( X, Y
% 16.83/17.20 , Y ) }.
% 16.83/17.20 parent0: (57204) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57205) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 16.83/17.20 Z, Y, Z ) }.
% 16.83/17.20 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 16.83/17.20 X, T ), cong( X, Z, Y, Z ) }.
% 16.83/17.20 parent1[0]: (56493) {G23,W4,D2,L1,V2,M1} R(56472,67);r(56372) { midp( X, Y
% 16.83/17.20 , Y ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 T := X
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := Z
% 16.83/17.20 Y := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57206) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 16.83/17.20 parent0[0]: (57205) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 16.83/17.20 Z, Y, Z ) }.
% 16.83/17.20 parent1[0]: (56448) {G22,W5,D2,L1,V4,M1} R(56389,9);r(56426) { perp( X, Y,
% 16.83/17.20 T, U ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := T
% 16.83/17.20 T := Y
% 16.83/17.20 U := X
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (56533) {G24,W5,D2,L1,V3,M1} R(56493,52);r(56448) { cong( X, Z
% 16.83/17.20 , Y, Z ) }.
% 16.83/17.20 parent0: (57206) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := Y
% 16.83/17.20 Z := Z
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 0 ==> 0
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57207) {G5,W5,D2,L1,V1,M1} { ! cong( X, skol20, skol22,
% 16.83/17.20 skol20 ) }.
% 16.83/17.20 parent0[0]: (536) {G4,W10,D2,L2,V2,M2} R(24,529) { ! cong( skol23, skol20,
% 16.83/17.20 X, Y ), ! cong( X, Y, skol22, skol20 ) }.
% 16.83/17.20 parent1[0]: (56533) {G24,W5,D2,L1,V3,M1} R(56493,52);r(56448) { cong( X, Z
% 16.83/17.20 , Y, Z ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 Y := skol20
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := skol23
% 16.83/17.20 Y := X
% 16.83/17.20 Z := skol20
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 resolution: (57209) {G6,W0,D0,L0,V0,M0} { }.
% 16.83/17.20 parent0[0]: (57207) {G5,W5,D2,L1,V1,M1} { ! cong( X, skol20, skol22,
% 16.83/17.20 skol20 ) }.
% 16.83/17.20 parent1[0]: (56533) {G24,W5,D2,L1,V3,M1} R(56493,52);r(56448) { cong( X, Z
% 16.83/17.20 , Y, Z ) }.
% 16.83/17.20 substitution0:
% 16.83/17.20 X := X
% 16.83/17.20 end
% 16.83/17.20 substitution1:
% 16.83/17.20 X := X
% 16.83/17.20 Y := skol22
% 16.83/17.20 Z := skol20
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 subsumption: (56582) {G25,W0,D0,L0,V0,M0} R(56533,536);r(56533) { }.
% 16.83/17.20 parent0: (57209) {G6,W0,D0,L0,V0,M0} { }.
% 16.83/17.20 substitution0:
% 16.83/17.20 end
% 16.83/17.20 permutation0:
% 16.83/17.20 end
% 16.83/17.20
% 16.83/17.20 Proof check complete!
% 16.83/17.20
% 16.83/17.20 Memory use:
% 16.83/17.20
% 16.83/17.20 space for terms: 795915
% 16.83/17.20 space for clauses: 2389203
% 16.83/17.20
% 16.83/17.20
% 16.83/17.20 clauses generated: 499950
% 16.83/17.20 clauses kept: 56583
% 16.83/17.20 clauses selected: 3139
% 16.83/17.20 clauses deleted: 4762
% 16.83/17.20 clauses inuse deleted: 178
% 16.83/17.20
% 16.83/17.20 subsentry: 26271897
% 16.83/17.20 literals s-matched: 12909119
% 16.83/17.20 literals matched: 7314648
% 16.83/17.20 full subsumption: 2069746
% 16.83/17.20
% 16.83/17.20 checksum: 2067211849
% 16.83/17.20
% 16.83/17.20
% 16.83/17.20 Bliksem ended
%------------------------------------------------------------------------------