TSTP Solution File: GEO586+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 02:54:54 EDT 2022
% Result : Theorem 27.72s 28.17s
% Output : Refutation 27.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.09 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Sat Jun 18 12:05:16 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.53/0.96 *** allocated 10000 integers for termspace/termends
% 0.53/0.96 *** allocated 10000 integers for clauses
% 0.53/0.96 *** allocated 10000 integers for justifications
% 0.53/0.96 Bliksem 1.12
% 0.53/0.96
% 0.53/0.96
% 0.53/0.96 Automatic Strategy Selection
% 0.53/0.96
% 0.53/0.96 *** allocated 15000 integers for termspace/termends
% 0.53/0.96
% 0.53/0.96 Clauses:
% 0.53/0.96
% 0.53/0.96 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.53/0.96 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.53/0.96 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.53/0.96 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.53/0.96 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.53/0.96 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.53/0.96 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.53/0.96 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.53/0.96 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.53/0.96 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.53/0.96 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.53/0.96 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.53/0.96 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.53/0.96 ( X, Y, Z, T ) }.
% 0.53/0.96 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.53/0.96 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.53/0.96 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.53/0.96 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.53/0.96 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.53/0.96 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.53/0.96 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.53/0.96 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.53/0.96 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.53/0.96 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.53/0.96 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.53/0.96 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.53/0.96 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.53/0.96 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.53/0.96 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.53/0.96 ( X, Y, Z, T, U, W ) }.
% 0.53/0.96 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.53/0.96 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.53/0.96 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.53/0.96 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.53/0.96 ( X, Y, Z, T, U, W ) }.
% 0.53/0.96 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.53/0.96 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.53/0.96 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.53/0.96 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.53/0.96 T ) }.
% 0.53/0.96 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.53/0.96 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.53/0.96 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.53/0.96 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.53/0.96 ) }.
% 0.53/0.96 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.53/0.96 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.53/0.96 }.
% 0.53/0.96 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.53/0.96 Z, Y ) }.
% 0.53/0.96 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.53/0.96 X, Z ) }.
% 0.53/0.96 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.53/0.96 U ) }.
% 0.53/0.96 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.53/0.96 , Z ), midp( Z, X, Y ) }.
% 0.53/0.96 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.53/0.96 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.53/0.96 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.53/0.96 Z, Y ) }.
% 0.53/0.96 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.53/0.96 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.53/0.96 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.53/0.96 ( Y, X, X, Z ) }.
% 0.53/0.96 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.53/0.96 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.53/0.96 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.53/0.96 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.53/0.96 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.53/0.96 , W ) }.
% 0.53/0.96 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.53/0.96 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.53/0.96 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.53/0.96 , Y ) }.
% 0.53/0.96 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.53/0.96 , X, Z, U, Y, Y, T ) }.
% 0.53/0.96 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.53/0.96 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.53/0.96 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.53/0.96 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.53/0.96 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.53/0.96 .
% 0.53/0.96 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.53/0.96 ) }.
% 0.53/0.96 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.53/0.96 , Z, T ) }.
% 0.53/0.96 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.53/0.96 , Z, T ) }.
% 0.53/0.96 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.53/0.96 , Z, T ) }.
% 0.53/0.96 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.53/0.96 , W, Z, T ), Z, T ) }.
% 0.53/0.96 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.53/0.96 , Y, Z, T ), X, Y ) }.
% 0.53/0.96 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.53/0.96 , W, Z, T ), Z, T ) }.
% 0.53/0.96 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.53/0.96 skol2( X, Y, Z, T ) ) }.
% 0.53/0.96 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.53/0.96 , W, Z, T ), Z, T ) }.
% 0.53/0.96 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.53/0.96 skol3( X, Y, Z, T ) ) }.
% 0.53/0.96 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.53/0.96 , T ) }.
% 0.53/0.96 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.53/0.96 ) ) }.
% 0.53/0.96 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.53/0.96 skol5( W, Y, Z, T ) ) }.
% 0.53/0.96 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.53/0.96 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.53/0.96 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.53/0.96 , X, T ) }.
% 0.53/0.96 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.53/0.96 W, X, Z ) }.
% 0.53/0.96 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.53/0.96 , Y, T ) }.
% 0.53/0.96 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.53/0.96 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.53/0.96 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.53/0.96 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.53/0.96 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.53/0.96 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.53/0.96 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.53/0.96 Z, T ) ) }.
% 0.53/0.96 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.53/0.96 , T ) ) }.
% 0.53/0.96 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.53/0.96 , X, Y ) }.
% 0.53/0.96 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.53/0.96 ) }.
% 0.53/0.96 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.53/0.96 , Y ) }.
% 0.53/0.96 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.53/0.96 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.53/0.96 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.53/0.96 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.53/0.96 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.91/6.37 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.91/6.37 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.91/6.37 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.91/6.37 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.91/6.37 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.91/6.37 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.91/6.37 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.91/6.37 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.91/6.37 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.91/6.37 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.91/6.37 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.91/6.37 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.91/6.37 X, Y, Z ) }.
% 5.91/6.37 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.91/6.37 }.
% 5.91/6.37 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.91/6.37 ) }.
% 5.91/6.37 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.91/6.37 skol17( X, Y ), X, Y ) }.
% 5.91/6.37 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.91/6.37 }.
% 5.91/6.37 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.91/6.37 ) }.
% 5.91/6.37 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.91/6.37 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.91/6.37 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.91/6.37 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.91/6.37 { circle( skol27, skol25, skol26, skol20 ) }.
% 5.91/6.37 { circle( skol27, skol25, skol22, skol28 ) }.
% 5.91/6.37 { coll( skol23, skol25, skol20 ) }.
% 5.91/6.37 { coll( skol23, skol26, skol22 ) }.
% 5.91/6.37 { circle( skol24, skol25, skol26, skol23 ) }.
% 5.91/6.37 { ! perp( skol24, skol23, skol20, skol22 ) }.
% 5.91/6.37
% 5.91/6.37 percentage equality = 0.008824, percentage horn = 0.926230
% 5.91/6.37 This is a problem with some equality
% 5.91/6.37
% 5.91/6.37
% 5.91/6.37
% 5.91/6.37 Options Used:
% 5.91/6.37
% 5.91/6.37 useres = 1
% 5.91/6.37 useparamod = 1
% 5.91/6.37 useeqrefl = 1
% 5.91/6.37 useeqfact = 1
% 5.91/6.37 usefactor = 1
% 5.91/6.37 usesimpsplitting = 0
% 5.91/6.37 usesimpdemod = 5
% 5.91/6.37 usesimpres = 3
% 5.91/6.37
% 5.91/6.37 resimpinuse = 1000
% 5.91/6.37 resimpclauses = 20000
% 5.91/6.37 substype = eqrewr
% 5.91/6.37 backwardsubs = 1
% 5.91/6.37 selectoldest = 5
% 5.91/6.37
% 5.91/6.37 litorderings [0] = split
% 5.91/6.37 litorderings [1] = extend the termordering, first sorting on arguments
% 5.91/6.37
% 5.91/6.37 termordering = kbo
% 5.91/6.37
% 5.91/6.37 litapriori = 0
% 5.91/6.37 termapriori = 1
% 5.91/6.37 litaposteriori = 0
% 5.91/6.37 termaposteriori = 0
% 5.91/6.37 demodaposteriori = 0
% 5.91/6.37 ordereqreflfact = 0
% 5.91/6.37
% 5.91/6.37 litselect = negord
% 5.91/6.37
% 5.91/6.37 maxweight = 15
% 5.91/6.37 maxdepth = 30000
% 5.91/6.37 maxlength = 115
% 5.91/6.37 maxnrvars = 195
% 5.91/6.37 excuselevel = 1
% 5.91/6.37 increasemaxweight = 1
% 5.91/6.37
% 5.91/6.37 maxselected = 10000000
% 5.91/6.37 maxnrclauses = 10000000
% 5.91/6.37
% 5.91/6.37 showgenerated = 0
% 5.91/6.37 showkept = 0
% 5.91/6.37 showselected = 0
% 5.91/6.37 showdeleted = 0
% 5.91/6.37 showresimp = 1
% 5.91/6.37 showstatus = 2000
% 5.91/6.37
% 5.91/6.37 prologoutput = 0
% 5.91/6.37 nrgoals = 5000000
% 5.91/6.37 totalproof = 1
% 5.91/6.37
% 5.91/6.37 Symbols occurring in the translation:
% 5.91/6.37
% 5.91/6.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.91/6.37 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 5.91/6.37 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 5.91/6.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.91/6.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.91/6.37 coll [38, 3] (w:1, o:67, a:1, s:1, b:0),
% 5.91/6.37 para [40, 4] (w:1, o:75, a:1, s:1, b:0),
% 5.91/6.37 perp [43, 4] (w:1, o:76, a:1, s:1, b:0),
% 5.91/6.37 midp [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 5.91/6.37 cong [47, 4] (w:1, o:77, a:1, s:1, b:0),
% 5.91/6.37 circle [48, 4] (w:1, o:78, a:1, s:1, b:0),
% 5.91/6.37 cyclic [49, 4] (w:1, o:79, a:1, s:1, b:0),
% 5.91/6.37 eqangle [54, 8] (w:1, o:94, a:1, s:1, b:0),
% 5.91/6.37 eqratio [57, 8] (w:1, o:95, a:1, s:1, b:0),
% 5.91/6.37 simtri [59, 6] (w:1, o:91, a:1, s:1, b:0),
% 5.91/6.37 contri [60, 6] (w:1, o:92, a:1, s:1, b:0),
% 5.91/6.37 alpha1 [66, 3] (w:1, o:69, a:1, s:1, b:1),
% 5.91/6.37 alpha2 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 5.91/6.37 skol1 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 5.91/6.37 skol2 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 5.91/6.37 skol3 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 5.91/6.37 skol4 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 5.91/6.37 skol5 [72, 4] (w:1, o:87, a:1, s:1, b:1),
% 5.91/6.37 skol6 [73, 6] (w:1, o:93, a:1, s:1, b:1),
% 5.91/6.37 skol7 [74, 2] (w:1, o:63, a:1, s:1, b:1),
% 5.91/6.37 skol8 [75, 4] (w:1, o:88, a:1, s:1, b:1),
% 5.91/6.37 skol9 [76, 4] (w:1, o:89, a:1, s:1, b:1),
% 27.72/28.17 skol10 [77, 3] (w:1, o:70, a:1, s:1, b:1),
% 27.72/28.17 skol11 [78, 3] (w:1, o:71, a:1, s:1, b:1),
% 27.72/28.17 skol12 [79, 2] (w:1, o:64, a:1, s:1, b:1),
% 27.72/28.17 skol13 [80, 5] (w:1, o:90, a:1, s:1, b:1),
% 27.72/28.17 skol14 [81, 3] (w:1, o:72, a:1, s:1, b:1),
% 27.72/28.17 skol15 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 27.72/28.17 skol16 [83, 3] (w:1, o:74, a:1, s:1, b:1),
% 27.72/28.17 skol17 [84, 2] (w:1, o:65, a:1, s:1, b:1),
% 27.72/28.17 skol18 [85, 2] (w:1, o:66, a:1, s:1, b:1),
% 27.72/28.17 skol19 [86, 4] (w:1, o:82, a:1, s:1, b:1),
% 27.72/28.17 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 27.72/28.17 skol21 [88, 4] (w:1, o:84, a:1, s:1, b:1),
% 27.72/28.17 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 27.72/28.17 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 27.72/28.17 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 27.72/28.17 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 27.72/28.17 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 27.72/28.17 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 27.72/28.17 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1).
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Starting Search:
% 27.72/28.17
% 27.72/28.17 *** allocated 15000 integers for clauses
% 27.72/28.17 *** allocated 22500 integers for clauses
% 27.72/28.17 *** allocated 33750 integers for clauses
% 27.72/28.17 *** allocated 22500 integers for termspace/termends
% 27.72/28.17 *** allocated 50625 integers for clauses
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 75937 integers for clauses
% 27.72/28.17 *** allocated 33750 integers for termspace/termends
% 27.72/28.17 *** allocated 113905 integers for clauses
% 27.72/28.17 *** allocated 50625 integers for termspace/termends
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 22510
% 27.72/28.17 Kept: 2030
% 27.72/28.17 Inuse: 336
% 27.72/28.17 Deleted: 1
% 27.72/28.17 Deletedinuse: 1
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 170857 integers for clauses
% 27.72/28.17 *** allocated 75937 integers for termspace/termends
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 113905 integers for termspace/termends
% 27.72/28.17 *** allocated 256285 integers for clauses
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 45359
% 27.72/28.17 Kept: 4032
% 27.72/28.17 Inuse: 467
% 27.72/28.17 Deleted: 19
% 27.72/28.17 Deletedinuse: 2
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 170857 integers for termspace/termends
% 27.72/28.17 *** allocated 384427 integers for clauses
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 57268
% 27.72/28.17 Kept: 6087
% 27.72/28.17 Inuse: 529
% 27.72/28.17 Deleted: 19
% 27.72/28.17 Deletedinuse: 2
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 78924
% 27.72/28.17 Kept: 8088
% 27.72/28.17 Inuse: 706
% 27.72/28.17 Deleted: 20
% 27.72/28.17 Deletedinuse: 2
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 576640 integers for clauses
% 27.72/28.17 *** allocated 256285 integers for termspace/termends
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 101544
% 27.72/28.17 Kept: 10090
% 27.72/28.17 Inuse: 792
% 27.72/28.17 Deleted: 29
% 27.72/28.17 Deletedinuse: 6
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 112150
% 27.72/28.17 Kept: 12190
% 27.72/28.17 Inuse: 833
% 27.72/28.17 Deleted: 34
% 27.72/28.17 Deletedinuse: 11
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 864960 integers for clauses
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 125698
% 27.72/28.17 Kept: 14217
% 27.72/28.17 Inuse: 895
% 27.72/28.17 Deleted: 41
% 27.72/28.17 Deletedinuse: 12
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 384427 integers for termspace/termends
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 153554
% 27.72/28.17 Kept: 16230
% 27.72/28.17 Inuse: 1014
% 27.72/28.17 Deleted: 55
% 27.72/28.17 Deletedinuse: 14
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 167455
% 27.72/28.17 Kept: 18242
% 27.72/28.17 Inuse: 1122
% 27.72/28.17 Deleted: 72
% 27.72/28.17 Deletedinuse: 23
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 1297440 integers for clauses
% 27.72/28.17 Resimplifying clauses:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 183212
% 27.72/28.17 Kept: 20264
% 27.72/28.17 Inuse: 1237
% 27.72/28.17 Deleted: 2060
% 27.72/28.17 Deletedinuse: 34
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 198733
% 27.72/28.17 Kept: 22268
% 27.72/28.17 Inuse: 1413
% 27.72/28.17 Deleted: 2064
% 27.72/28.17 Deletedinuse: 37
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 209978
% 27.72/28.17 Kept: 24533
% 27.72/28.17 Inuse: 1475
% 27.72/28.17 Deleted: 2070
% 27.72/28.17 Deletedinuse: 43
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 576640 integers for termspace/termends
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 225878
% 27.72/28.17 Kept: 27763
% 27.72/28.17 Inuse: 1565
% 27.72/28.17 Deleted: 2078
% 27.72/28.17 Deletedinuse: 51
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 235634
% 27.72/28.17 Kept: 29928
% 27.72/28.17 Inuse: 1615
% 27.72/28.17 Deleted: 2078
% 27.72/28.17 Deletedinuse: 51
% 27.72/28.17
% 27.72/28.17 *** allocated 1946160 integers for clauses
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 244243
% 27.72/28.17 Kept: 31936
% 27.72/28.17 Inuse: 1630
% 27.72/28.17 Deleted: 2080
% 27.72/28.17 Deletedinuse: 53
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 261162
% 27.72/28.17 Kept: 33957
% 27.72/28.17 Inuse: 1718
% 27.72/28.17 Deleted: 2092
% 27.72/28.17 Deletedinuse: 61
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 276237
% 27.72/28.17 Kept: 36949
% 27.72/28.17 Inuse: 1817
% 27.72/28.17 Deleted: 2096
% 27.72/28.17 Deletedinuse: 61
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 299116
% 27.72/28.17 Kept: 38952
% 27.72/28.17 Inuse: 2002
% 27.72/28.17 Deleted: 2113
% 27.72/28.17 Deletedinuse: 66
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying clauses:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 864960 integers for termspace/termends
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 334070
% 27.72/28.17 Kept: 40956
% 27.72/28.17 Inuse: 2159
% 27.72/28.17 Deleted: 5915
% 27.72/28.17 Deletedinuse: 71
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 393600
% 27.72/28.17 Kept: 42969
% 27.72/28.17 Inuse: 2301
% 27.72/28.17 Deleted: 5916
% 27.72/28.17 Deletedinuse: 72
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 442466
% 27.72/28.17 Kept: 44975
% 27.72/28.17 Inuse: 2447
% 27.72/28.17 Deleted: 5925
% 27.72/28.17 Deletedinuse: 80
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 *** allocated 2919240 integers for clauses
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 479391
% 27.72/28.17 Kept: 46984
% 27.72/28.17 Inuse: 2517
% 27.72/28.17 Deleted: 5973
% 27.72/28.17 Deletedinuse: 83
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 540843
% 27.72/28.17 Kept: 48991
% 27.72/28.17 Inuse: 2646
% 27.72/28.17 Deleted: 6103
% 27.72/28.17 Deletedinuse: 181
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Intermediate Status:
% 27.72/28.17 Generated: 593034
% 27.72/28.17 Kept: 51001
% 27.72/28.17 Inuse: 2773
% 27.72/28.17 Deleted: 6142
% 27.72/28.17 Deletedinuse: 182
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17 Resimplifying inuse:
% 27.72/28.17 Done
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Bliksems!, er is een bewijs:
% 27.72/28.17 % SZS status Theorem
% 27.72/28.17 % SZS output start Refutation
% 27.72/28.17
% 27.72/28.17 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 27.72/28.17 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 27.72/28.17 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 27.72/28.17 , Z, X ) }.
% 27.72/28.17 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 27.72/28.17 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 27.72/28.17 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 27.72/28.17 para( X, Y, Z, T ) }.
% 27.72/28.17 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 27.72/28.17 perp( X, Y, Z, T ) }.
% 27.72/28.17 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 27.72/28.17 }.
% 27.72/28.17 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 27.72/28.17 }.
% 27.72/28.17 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 27.72/28.17 }.
% 27.72/28.17 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 27.72/28.17 ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.72/28.17 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 27.72/28.17 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 27.72/28.17 , T, U, W ) }.
% 27.72/28.17 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 27.72/28.17 T, X, T, Y ) }.
% 27.72/28.17 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 27.72/28.17 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 27.72/28.17 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 27.72/28.17 , Y, Z, T ) }.
% 27.72/28.17 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 27.72/28.17 perp( X, Y, Y, Z ) }.
% 27.72/28.17 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 27.72/28.17 perp( X, Y, Z, T ) }.
% 27.72/28.17 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 27.72/28.17 alpha1( X, Y, Z ) }.
% 27.72/28.17 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 27.72/28.17 , Z, X ) }.
% 27.72/28.17 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 27.72/28.17 , X, X, Y ) }.
% 27.72/28.17 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol26, skol20 ) }.
% 27.72/28.17 (118) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol20 ) }.
% 27.72/28.17 (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol22 ) }.
% 27.72/28.17 (121) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol23, skol20, skol22 ) }.
% 27.72/28.17 (159) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol23, skol20, skol25 ) }.
% 27.72/28.17 (160) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol22, skol26 ) }.
% 27.72/28.17 (163) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol22, skol23, skol26 ) }.
% 27.72/28.17 (164) {G2,W4,D2,L1,V0,M1} R(1,159) { coll( skol20, skol23, skol25 ) }.
% 27.72/28.17 (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 27.72/28.17 (169) {G3,W4,D2,L1,V0,M1} R(163,0) { coll( skol22, skol26, skol23 ) }.
% 27.72/28.17 (170) {G4,W4,D2,L1,V0,M1} R(169,1) { coll( skol26, skol22, skol23 ) }.
% 27.72/28.17 (171) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol20, skol25, skol23 ) }.
% 27.72/28.17 (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 27.72/28.17 coll( Z, X, T ) }.
% 27.72/28.17 (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 27.72/28.17 (202) {G4,W4,D2,L1,V0,M1} R(171,1) { coll( skol25, skol20, skol23 ) }.
% 27.72/28.17 (212) {G5,W4,D2,L1,V0,M1} R(197,202) { coll( skol23, skol25, skol23 ) }.
% 27.72/28.17 (214) {G3,W12,D2,L3,V4,M3} R(197,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 27.72/28.17 coll( X, Z, T ) }.
% 27.72/28.17 (216) {G3,W4,D2,L1,V0,M1} R(197,164) { coll( skol25, skol20, skol25 ) }.
% 27.72/28.17 (217) {G5,W4,D2,L1,V0,M1} R(197,170) { coll( skol23, skol26, skol23 ) }.
% 27.72/28.17 (228) {G4,W8,D2,L2,V3,M2} F(214) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 27.72/28.17 (256) {G6,W4,D2,L1,V0,M1} R(212,0) { coll( skol23, skol23, skol25 ) }.
% 27.72/28.17 (258) {G1,W5,D2,L1,V0,M1} R(6,121) { ! perp( skol24, skol23, skol22, skol20
% 27.72/28.17 ) }.
% 27.72/28.17 (260) {G7,W8,D2,L2,V1,M2} R(256,2) { ! coll( skol23, skol23, X ), coll( X,
% 27.72/28.17 skol25, skol23 ) }.
% 27.72/28.17 (273) {G4,W4,D2,L1,V0,M1} R(216,0) { coll( skol25, skol25, skol20 ) }.
% 27.72/28.17 (275) {G5,W8,D2,L2,V1,M2} R(273,2) { ! coll( skol25, skol25, X ), coll(
% 27.72/28.17 skol20, X, skol25 ) }.
% 27.72/28.17 (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 27.72/28.17 ), ! perp( X, Y, U, W ) }.
% 27.72/28.17 (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 27.72/28.17 ), ! perp( U, W, Z, T ) }.
% 27.72/28.17 (286) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 27.72/28.17 ) }.
% 27.72/28.17 (290) {G6,W4,D2,L1,V0,M1} R(217,0) { coll( skol23, skol23, skol26 ) }.
% 27.72/28.17 (345) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 27.72/28.17 , T, Y ) }.
% 27.72/28.17 (353) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 27.72/28.17 , X, T ) }.
% 27.72/28.17 (355) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 27.72/28.17 , T, Z ) }.
% 27.72/28.17 (361) {G2,W10,D2,L2,V2,M2} R(258,9) { ! para( skol24, skol23, X, Y ), !
% 27.72/28.17 perp( X, Y, skol22, skol20 ) }.
% 27.72/28.17 (371) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 27.72/28.17 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 27.72/28.17 (376) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 27.72/28.17 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 27.72/28.17 (380) {G2,W10,D2,L2,V4,M2} F(371) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 27.72/28.17 , T ) }.
% 27.72/28.17 (385) {G5,W8,D2,L2,V3,M2} R(228,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 27.72/28.17 (391) {G6,W8,D2,L2,V3,M2} R(385,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 27.72/28.17 (393) {G6,W8,D2,L2,V3,M2} R(385,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 27.72/28.17 (394) {G7,W8,D2,L2,V3,M2} R(391,385) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 27.72/28.17 }.
% 27.72/28.17 (450) {G7,W8,D2,L2,V3,M2} R(393,393) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 27.72/28.17 }.
% 27.72/28.17 (461) {G8,W12,D2,L3,V4,M3} R(450,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 27.72/28.17 , coll( T, Y, X ) }.
% 27.72/28.17 (462) {G9,W8,D2,L2,V3,M2} F(461) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 27.72/28.17 (463) {G10,W8,D2,L2,V3,M2} R(462,450) { coll( X, X, Y ), ! coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 (465) {G10,W8,D2,L2,V3,M2} R(462,394) { coll( X, X, Y ), ! coll( Z, Y, X )
% 27.72/28.17 }.
% 27.72/28.17 (746) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 27.72/28.17 X, Y, U, W, Z, T ) }.
% 27.72/28.17 (794) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 27.72/28.17 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 27.72/28.17 (874) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 27.72/28.17 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 27.72/28.17 (906) {G2,W15,D2,L3,V3,M3} F(874) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 27.72/28.17 , Z, Y ), cong( X, Y, X, Y ) }.
% 27.72/28.17 (1432) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol27, skol25, skol20 ),
% 27.72/28.17 perp( skol25, skol26, skol26, skol20 ) }.
% 27.72/28.17 (4142) {G11,W8,D2,L2,V3,M2} R(97,465) { ! alpha1( X, Y, Z ), coll( X, X, Z
% 27.72/28.17 ) }.
% 27.72/28.17 (4651) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25, skol27 ),
% 27.72/28.17 skol25, skol25, skol27 ) }.
% 27.72/28.17 (4665) {G2,W7,D3,L1,V0,M1} R(4651,7) { perp( skol25, skol27, skol12( skol25
% 27.72/28.17 , skol27 ), skol25 ) }.
% 27.72/28.17 (4676) {G3,W7,D3,L1,V0,M1} R(4665,6) { perp( skol25, skol27, skol25, skol12
% 27.72/28.17 ( skol25, skol27 ) ) }.
% 27.72/28.17 (4686) {G4,W7,D3,L1,V0,M1} R(4676,7) { perp( skol25, skol12( skol25, skol27
% 27.72/28.17 ), skol25, skol27 ) }.
% 27.72/28.17 (4827) {G5,W4,D2,L1,V0,M1} R(4686,96);r(4686) { alpha1( skol25, skol25,
% 27.72/28.17 skol27 ) }.
% 27.72/28.17 (4980) {G12,W4,D2,L1,V0,M1} R(4827,4142) { coll( skol25, skol25, skol27 )
% 27.72/28.17 }.
% 27.72/28.17 (16108) {G8,W4,D2,L1,V0,M1} R(260,290) { coll( skol26, skol25, skol23 ) }.
% 27.72/28.17 (16135) {G11,W4,D2,L1,V0,M1} R(16108,463) { coll( skol25, skol25, skol26 )
% 27.72/28.17 }.
% 27.72/28.17 (17007) {G13,W4,D2,L1,V0,M1} R(275,4980) { coll( skol20, skol27, skol25 )
% 27.72/28.17 }.
% 27.72/28.17 (17059) {G14,W4,D2,L1,V0,M1} R(17007,166) { coll( skol27, skol25, skol20 )
% 27.72/28.17 }.
% 27.72/28.17 (20005) {G15,W5,D2,L1,V0,M1} S(1432);r(17059) { perp( skol25, skol26,
% 27.72/28.17 skol26, skol20 ) }.
% 27.72/28.17 (20020) {G16,W5,D2,L1,V0,M1} R(20005,286) { para( skol25, skol26, skol25,
% 27.72/28.17 skol26 ) }.
% 27.72/28.17 (42675) {G17,W9,D2,L1,V2,M1} R(746,20020) { eqangle( X, Y, skol25, skol26,
% 27.72/28.17 X, Y, skol25, skol26 ) }.
% 27.72/28.17 (45888) {G18,W5,D2,L1,V1,M1} R(794,16135);r(42675) { cyclic( X, skol26,
% 27.72/28.17 skol25, skol25 ) }.
% 27.72/28.17 (46077) {G19,W5,D2,L1,V1,M1} R(45888,355) { cyclic( skol26, X, skol25,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 (46089) {G20,W5,D2,L1,V1,M1} R(46077,380) { cyclic( skol25, X, skol25,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 (46111) {G21,W5,D2,L1,V1,M1} R(46089,353) { cyclic( skol25, skol25, X,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 (46112) {G21,W5,D2,L1,V1,M1} R(46089,345) { cyclic( skol25, skol25, skol25
% 27.72/28.17 , X ) }.
% 27.72/28.17 (46117) {G22,W5,D2,L1,V2,M1} R(46111,376);r(46112) { cyclic( skol25, skol25
% 27.72/28.17 , X, Y ) }.
% 27.72/28.17 (46408) {G23,W5,D2,L1,V3,M1} R(46117,376);r(46117) { cyclic( skol25, X, Y,
% 27.72/28.17 Z ) }.
% 27.72/28.17 (46427) {G24,W5,D2,L1,V4,M1} R(46408,376);r(46408) { cyclic( X, Y, Z, T )
% 27.72/28.17 }.
% 27.72/28.17 (52421) {G25,W5,D2,L1,V2,M1} S(906);r(46427);r(46427) { cong( X, Y, X, Y )
% 27.72/28.17 }.
% 27.72/28.17 (52438) {G26,W5,D2,L1,V3,M1} R(52421,56);r(52421) { perp( X, X, Z, Y ) }.
% 27.72/28.17 (52467) {G27,W5,D2,L1,V4,M1} R(52438,277);r(52438) { para( X, Y, Z, T ) }.
% 27.72/28.17 (52489) {G28,W5,D2,L1,V4,M1} R(52438,9);r(52467) { perp( X, Y, T, U ) }.
% 27.72/28.17 (52622) {G29,W0,D0,L0,V0,M0} R(52467,361);r(52489) { }.
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 % SZS output end Refutation
% 27.72/28.17 found a proof!
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Unprocessed initial clauses:
% 27.72/28.17
% 27.72/28.17 (52624) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 27.72/28.17 (52625) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 27.72/28.17 (52626) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 27.72/28.17 ( Y, Z, X ) }.
% 27.72/28.17 (52627) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 27.72/28.17 }.
% 27.72/28.17 (52628) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 27.72/28.17 }.
% 27.72/28.17 (52629) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 27.72/28.17 , para( X, Y, Z, T ) }.
% 27.72/28.17 (52630) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 27.72/28.17 }.
% 27.72/28.17 (52631) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 27.72/28.17 }.
% 27.72/28.17 (52632) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 27.72/28.17 , para( X, Y, Z, T ) }.
% 27.72/28.17 (52633) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 27.72/28.17 , perp( X, Y, Z, T ) }.
% 27.72/28.17 (52634) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 27.72/28.17 (52635) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 27.72/28.17 , circle( T, X, Y, Z ) }.
% 27.72/28.17 (52636) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 27.72/28.17 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 (52637) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 27.72/28.17 ) }.
% 27.72/28.17 (52638) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 27.72/28.17 ) }.
% 27.72/28.17 (52639) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 27.72/28.17 ) }.
% 27.72/28.17 (52640) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 27.72/28.17 T ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 (52641) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 27.72/28.17 (52642) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.72/28.17 (52643) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 27.72/28.17 (52644) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 27.72/28.17 (52645) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 27.72/28.17 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 27.72/28.17 V1 ) }.
% 27.72/28.17 (52646) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 27.72/28.17 }.
% 27.72/28.17 (52647) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 27.72/28.17 }.
% 27.72/28.17 (52648) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 27.72/28.17 , cong( X, Y, Z, T ) }.
% 27.72/28.17 (52649) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 27.72/28.17 (52650) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 27.72/28.17 (52651) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 27.72/28.17 (52652) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 27.72/28.17 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 27.72/28.17 (52653) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 27.72/28.17 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 27.72/28.17 V1 ) }.
% 27.72/28.17 (52654) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 27.72/28.17 , Z, T, U, W ) }.
% 27.72/28.17 (52655) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 27.72/28.17 , Z, T, U, W ) }.
% 27.72/28.17 (52656) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 27.72/28.17 , Z, T, U, W ) }.
% 27.72/28.17 (52657) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 27.72/28.17 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 27.72/28.17 (52658) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 27.72/28.17 , Z, T, U, W ) }.
% 27.72/28.17 (52659) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 27.72/28.17 , Z, T, U, W ) }.
% 27.72/28.17 (52660) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 27.72/28.17 , Z, T, U, W ) }.
% 27.72/28.17 (52661) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 27.72/28.17 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 27.72/28.17 (52662) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 27.72/28.17 X, Y, Z, T ) }.
% 27.72/28.17 (52663) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 27.72/28.17 Z, T, U, W ) }.
% 27.72/28.17 (52664) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 27.72/28.17 , T, X, T, Y ) }.
% 27.72/28.17 (52665) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 27.72/28.17 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 (52666) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 27.72/28.17 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 (52667) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 27.72/28.17 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 27.72/28.17 , Y, Z, T ) }.
% 27.72/28.17 (52668) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 27.72/28.17 ( Z, T, X, Y ) }.
% 27.72/28.17 (52669) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 27.72/28.17 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 27.72/28.17 (52670) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 27.72/28.17 X, Y, Z, Y ) }.
% 27.72/28.17 (52671) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 27.72/28.17 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 27.72/28.17 (52672) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 27.72/28.17 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 27.72/28.17 (52673) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 27.72/28.17 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 27.72/28.17 (52674) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 27.72/28.17 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 27.72/28.17 (52675) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 27.72/28.17 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 27.72/28.17 (52676) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 27.72/28.17 cong( X, Z, Y, Z ) }.
% 27.72/28.17 (52677) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 27.72/28.17 perp( X, Y, Y, Z ) }.
% 27.72/28.17 (52678) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 27.72/28.17 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 27.72/28.17 (52679) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 27.72/28.17 cong( Z, X, Z, Y ) }.
% 27.72/28.17 (52680) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 27.72/28.17 , perp( X, Y, Z, T ) }.
% 27.72/28.17 (52681) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 27.72/28.17 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 27.72/28.17 (52682) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 27.72/28.17 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 27.72/28.17 , W ) }.
% 27.72/28.17 (52683) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 27.72/28.17 , X, Z, T, U, T, W ) }.
% 27.72/28.17 (52684) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 27.72/28.17 , Y, Z, T, U, U, W ) }.
% 27.72/28.17 (52685) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 27.72/28.17 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 27.72/28.17 (52686) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 27.72/28.17 , T ) }.
% 27.72/28.17 (52687) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 27.72/28.17 ( X, Z, Y, T ) }.
% 27.72/28.17 (52688) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 27.72/28.17 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 27.72/28.17 (52689) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 27.72/28.17 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 27.72/28.17 (52690) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 27.72/28.17 (52691) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 27.72/28.17 midp( X, Y, Z ) }.
% 27.72/28.17 (52692) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 27.72/28.17 (52693) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 27.72/28.17 (52694) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 27.72/28.17 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 27.72/28.17 (52695) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 27.72/28.17 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 27.72/28.17 (52696) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 27.72/28.17 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 27.72/28.17 (52697) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 27.72/28.17 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 27.72/28.17 (52698) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 27.72/28.17 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 27.72/28.17 (52699) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 27.72/28.17 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 27.72/28.17 (52700) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 27.72/28.17 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 27.72/28.17 (52701) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 27.72/28.17 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 27.72/28.17 (52702) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 27.72/28.17 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 27.72/28.17 (52703) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 27.72/28.17 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 27.72/28.17 (52704) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 27.72/28.17 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 27.72/28.17 (52705) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 27.72/28.17 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 27.72/28.17 (52706) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 27.72/28.17 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 27.72/28.17 (52707) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 27.72/28.17 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 27.72/28.17 (52708) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 27.72/28.17 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 27.72/28.17 (52709) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 27.72/28.17 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 27.72/28.17 , T ) ) }.
% 27.72/28.17 (52710) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 27.72/28.17 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 27.72/28.17 (52711) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 27.72/28.17 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 27.72/28.17 (52712) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 27.72/28.17 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 27.72/28.17 (52713) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 27.72/28.17 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 27.72/28.17 (52714) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 27.72/28.17 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 27.72/28.17 ) }.
% 27.72/28.17 (52715) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 27.72/28.17 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 27.72/28.17 }.
% 27.72/28.17 (52716) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 27.72/28.17 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 27.72/28.17 (52717) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 27.72/28.17 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 27.72/28.17 (52718) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 27.72/28.17 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 27.72/28.17 (52719) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 27.72/28.17 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 27.72/28.17 (52720) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 27.72/28.17 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 27.72/28.17 (52721) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 27.72/28.17 , alpha1( X, Y, Z ) }.
% 27.72/28.17 (52722) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 27.72/28.17 ), Z, X ) }.
% 27.72/28.17 (52723) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 27.72/28.17 , Z ), Z, X ) }.
% 27.72/28.17 (52724) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 27.72/28.17 alpha1( X, Y, Z ) }.
% 27.72/28.17 (52725) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 27.72/28.17 ), X, X, Y ) }.
% 27.72/28.17 (52726) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 27.72/28.17 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 27.72/28.17 ) ) }.
% 27.72/28.17 (52727) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 27.72/28.17 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 27.72/28.17 (52728) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 27.72/28.17 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 27.72/28.17 }.
% 27.72/28.17 (52729) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 27.72/28.17 (52730) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 27.72/28.17 }.
% 27.72/28.17 (52731) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 27.72/28.17 alpha2( X, Y, Z, T ) }.
% 27.72/28.17 (52732) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 27.72/28.17 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 27.72/28.17 (52733) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 27.72/28.17 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 27.72/28.17 (52734) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 27.72/28.17 coll( skol16( W, Y, Z ), Y, Z ) }.
% 27.72/28.17 (52735) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 27.72/28.17 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 27.72/28.17 (52736) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 27.72/28.17 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 27.72/28.17 (52737) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 27.72/28.17 , coll( X, Y, skol18( X, Y ) ) }.
% 27.72/28.17 (52738) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 27.72/28.17 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 27.72/28.17 (52739) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 27.72/28.17 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 27.72/28.17 }.
% 27.72/28.17 (52740) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 27.72/28.17 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 27.72/28.17 }.
% 27.72/28.17 (52741) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol26, skol20 ) }.
% 27.72/28.17 (52742) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol22, skol28 ) }.
% 27.72/28.17 (52743) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 27.72/28.17 (52744) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol22 ) }.
% 27.72/28.17 (52745) {G0,W5,D2,L1,V0,M1} { circle( skol24, skol25, skol26, skol23 ) }.
% 27.72/28.17 (52746) {G0,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20, skol22 ) }.
% 27.72/28.17
% 27.72/28.17
% 27.72/28.17 Total Proof:
% 27.72/28.17
% 27.72/28.17 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent0: (52624) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 parent0: (52625) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 27.72/28.17 Z ), coll( Y, Z, X ) }.
% 27.72/28.17 parent0: (52626) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.72/28.17 ), coll( Y, Z, X ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 27.72/28.17 , T, Z ) }.
% 27.72/28.17 parent0: (52630) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 27.72/28.17 T, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 27.72/28.17 , X, Y ) }.
% 27.72/28.17 parent0: (52631) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.72/28.17 X, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 27.72/28.17 W, Z, T ), para( X, Y, Z, T ) }.
% 27.72/28.17 parent0: (52632) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 27.72/28.17 , Z, T ), para( X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 W := W
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 27.72/28.17 W, Z, T ), perp( X, Y, Z, T ) }.
% 27.72/28.17 parent0: (52633) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 27.72/28.17 , Z, T ), perp( X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 W := W
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 27.72/28.17 X, Y, T, Z ) }.
% 27.72/28.17 parent0: (52637) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 27.72/28.17 , Y, T, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 27.72/28.17 X, Z, Y, T ) }.
% 27.72/28.17 parent0: (52638) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 27.72/28.17 , Z, Y, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 27.72/28.17 Y, X, Z, T ) }.
% 27.72/28.17 parent0: (52639) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 27.72/28.17 , X, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 27.72/28.17 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 parent0: (52640) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 27.72/28.17 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 27.72/28.17 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.72/28.17 parent0: (52642) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.72/28.17 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 W := W
% 27.72/28.17 V0 := V0
% 27.72/28.17 V1 := V1
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 27.72/28.17 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 27.72/28.17 parent0: (52643) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.72/28.17 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 W := W
% 27.72/28.17 V0 := V0
% 27.72/28.17 V1 := V1
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 27.72/28.17 , Y, U, W, Z, T, U, W ) }.
% 27.72/28.17 parent0: (52663) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 27.72/28.17 Y, U, W, Z, T, U, W ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 W := W
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 27.72/28.17 ( Z, X, Z, Y, T, X, T, Y ) }.
% 27.72/28.17 parent0: (52664) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 27.72/28.17 , X, Z, Y, T, X, T, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 27.72/28.17 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 parent0: (52666) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 27.72/28.17 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 27.72/28.17 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 27.72/28.17 ), cong( X, Y, Z, T ) }.
% 27.72/28.17 parent0: (52667) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 27.72/28.17 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 27.72/28.17 , cong( X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 W := W
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 3 ==> 3
% 27.72/28.17 4 ==> 4
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 27.72/28.17 T, X, Z ), perp( X, Y, Y, Z ) }.
% 27.72/28.17 parent0: (52677) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 27.72/28.17 , X, Z ), perp( X, Y, Y, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 27.72/28.17 , T, Y, T ), perp( X, Y, Z, T ) }.
% 27.72/28.17 parent0: (52680) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 27.72/28.17 , Y, T ), perp( X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 27.72/28.17 , T, X, Z ), alpha1( X, Y, Z ) }.
% 27.72/28.17 parent0: (52721) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 27.72/28.17 , X, Z ), alpha1( X, Y, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 27.72/28.17 skol11( X, T, Z ), Z, X ) }.
% 27.72/28.17 parent0: (52722) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 27.72/28.17 ( X, T, Z ), Z, X ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 27.72/28.17 skol12( X, Y ), X, X, Y ) }.
% 27.72/28.17 parent0: (52725) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 27.72/28.17 skol12( X, Y ), X, X, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol26,
% 27.72/28.17 skol20 ) }.
% 27.72/28.17 parent0: (52741) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol26,
% 27.72/28.17 skol20 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol20 )
% 27.72/28.17 }.
% 27.72/28.17 parent0: (52743) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol22 )
% 27.72/28.17 }.
% 27.72/28.17 parent0: (52744) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol22 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol23, skol20,
% 27.72/28.17 skol22 ) }.
% 27.72/28.17 parent0: (52746) {G0,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 27.72/28.17 skol22 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53227) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol20 )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol23
% 27.72/28.17 Y := skol25
% 27.72/28.17 Z := skol20
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (159) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol23, skol20,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 parent0: (53227) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53228) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol26 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol22 )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol23
% 27.72/28.17 Y := skol26
% 27.72/28.17 Z := skol22
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (160) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol22,
% 27.72/28.17 skol26 ) }.
% 27.72/28.17 parent0: (53228) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol26 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53229) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol26 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (160) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol22,
% 27.72/28.17 skol26 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol23
% 27.72/28.17 Y := skol22
% 27.72/28.17 Z := skol26
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (163) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol22, skol23,
% 27.72/28.17 skol26 ) }.
% 27.72/28.17 parent0: (53229) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol26 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53230) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol25 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (159) {G1,W4,D2,L1,V0,M1} R(0,118) { coll( skol23, skol20,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol23
% 27.72/28.17 Y := skol20
% 27.72/28.17 Z := skol25
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (164) {G2,W4,D2,L1,V0,M1} R(1,159) { coll( skol20, skol23,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 parent0: (53230) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53232) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 27.72/28.17 ) }.
% 27.72/28.17 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 27.72/28.17 , Z, X ) }.
% 27.72/28.17 parent0: (53232) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 1
% 27.72/28.17 1 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53233) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol23 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (163) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol22, skol23,
% 27.72/28.17 skol26 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol22
% 27.72/28.17 Y := skol23
% 27.72/28.17 Z := skol26
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (169) {G3,W4,D2,L1,V0,M1} R(163,0) { coll( skol22, skol26,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 parent0: (53233) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53234) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol23 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (169) {G3,W4,D2,L1,V0,M1} R(163,0) { coll( skol22, skol26,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol22
% 27.72/28.17 Y := skol26
% 27.72/28.17 Z := skol23
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (170) {G4,W4,D2,L1,V0,M1} R(169,1) { coll( skol26, skol22,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 parent0: (53234) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53235) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol23 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (164) {G2,W4,D2,L1,V0,M1} R(1,159) { coll( skol20, skol23,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol20
% 27.72/28.17 Y := skol23
% 27.72/28.17 Z := skol25
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (171) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol20, skol25,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 parent0: (53235) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53239) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 27.72/28.17 X ), ! coll( Z, T, Y ) }.
% 27.72/28.17 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.72/28.17 ), coll( Y, Z, X ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := Z
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Y
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 27.72/28.17 ( X, Y, T ), coll( Z, X, T ) }.
% 27.72/28.17 parent0: (53239) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 27.72/28.17 , ! coll( Z, T, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Z
% 27.72/28.17 Y := T
% 27.72/28.17 Z := X
% 27.72/28.17 T := Y
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 2
% 27.72/28.17 1 ==> 0
% 27.72/28.17 2 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 factor: (53241) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0, 1]: (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 27.72/28.17 coll( X, Y, T ), coll( Z, X, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z
% 27.72/28.17 , X, Z ) }.
% 27.72/28.17 parent0: (53241) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53242) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol23 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (171) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol20, skol25,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol20
% 27.72/28.17 Y := skol25
% 27.72/28.17 Z := skol23
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (202) {G4,W4,D2,L1,V0,M1} R(171,1) { coll( skol25, skol20,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 parent0: (53242) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53243) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol23 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z,
% 27.72/28.17 X, Z ) }.
% 27.72/28.17 parent1[0]: (202) {G4,W4,D2,L1,V0,M1} R(171,1) { coll( skol25, skol20,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol25
% 27.72/28.17 Y := skol20
% 27.72/28.17 Z := skol23
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (212) {G5,W4,D2,L1,V0,M1} R(197,202) { coll( skol23, skol25,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 parent0: (53243) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53244) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 27.72/28.17 X ), ! coll( Z, T, Y ) }.
% 27.72/28.17 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z,
% 27.72/28.17 X, Z ) }.
% 27.72/28.17 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.72/28.17 ), coll( Y, Z, X ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := Z
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Y
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (214) {G3,W12,D2,L3,V4,M3} R(197,2) { coll( X, Y, X ), ! coll
% 27.72/28.17 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 27.72/28.17 parent0: (53244) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 27.72/28.17 , ! coll( Z, T, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := X
% 27.72/28.17 T := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53246) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z,
% 27.72/28.17 X, Z ) }.
% 27.72/28.17 parent1[0]: (164) {G2,W4,D2,L1,V0,M1} R(1,159) { coll( skol20, skol23,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol20
% 27.72/28.17 Y := skol23
% 27.72/28.17 Z := skol25
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (216) {G3,W4,D2,L1,V0,M1} R(197,164) { coll( skol25, skol20,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 parent0: (53246) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53247) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol23 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z,
% 27.72/28.17 X, Z ) }.
% 27.72/28.17 parent1[0]: (170) {G4,W4,D2,L1,V0,M1} R(169,1) { coll( skol26, skol22,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol26
% 27.72/28.17 Y := skol22
% 27.72/28.17 Z := skol23
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (217) {G5,W4,D2,L1,V0,M1} R(197,170) { coll( skol23, skol26,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 parent0: (53247) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 factor: (53248) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent0[1, 2]: (214) {G3,W12,D2,L3,V4,M3} R(197,2) { coll( X, Y, X ), !
% 27.72/28.17 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := Y
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (228) {G4,W8,D2,L2,V3,M2} F(214) { coll( X, Y, X ), ! coll( X
% 27.72/28.17 , Z, Y ) }.
% 27.72/28.17 parent0: (53248) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53249) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol25 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (212) {G5,W4,D2,L1,V0,M1} R(197,202) { coll( skol23, skol25,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol23
% 27.72/28.17 Y := skol25
% 27.72/28.17 Z := skol23
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (256) {G6,W4,D2,L1,V0,M1} R(212,0) { coll( skol23, skol23,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 parent0: (53249) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53250) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 27.72/28.17 skol20 ) }.
% 27.72/28.17 parent0[0]: (121) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol23, skol20,
% 27.72/28.17 skol22 ) }.
% 27.72/28.17 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 27.72/28.17 T, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := skol24
% 27.72/28.17 Y := skol23
% 27.72/28.17 Z := skol22
% 27.72/28.17 T := skol20
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (258) {G1,W5,D2,L1,V0,M1} R(6,121) { ! perp( skol24, skol23,
% 27.72/28.17 skol22, skol20 ) }.
% 27.72/28.17 parent0: (53250) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 27.72/28.17 skol20 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53252) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, X ),
% 27.72/28.17 coll( X, skol25, skol23 ) }.
% 27.72/28.17 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.72/28.17 ), coll( Y, Z, X ) }.
% 27.72/28.17 parent1[0]: (256) {G6,W4,D2,L1,V0,M1} R(212,0) { coll( skol23, skol23,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol23
% 27.72/28.17 Y := X
% 27.72/28.17 Z := skol25
% 27.72/28.17 T := skol23
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (260) {G7,W8,D2,L2,V1,M2} R(256,2) { ! coll( skol23, skol23, X
% 27.72/28.17 ), coll( X, skol25, skol23 ) }.
% 27.72/28.17 parent0: (53252) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, X ), coll(
% 27.72/28.17 X, skol25, skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53253) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (216) {G3,W4,D2,L1,V0,M1} R(197,164) { coll( skol25, skol20,
% 27.72/28.17 skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol25
% 27.72/28.17 Y := skol20
% 27.72/28.17 Z := skol25
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (273) {G4,W4,D2,L1,V0,M1} R(216,0) { coll( skol25, skol25,
% 27.72/28.17 skol20 ) }.
% 27.72/28.17 parent0: (53253) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53254) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ),
% 27.72/28.17 coll( skol20, X, skol25 ) }.
% 27.72/28.17 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.72/28.17 ), coll( Y, Z, X ) }.
% 27.72/28.17 parent1[0]: (273) {G4,W4,D2,L1,V0,M1} R(216,0) { coll( skol25, skol25,
% 27.72/28.17 skol20 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol25
% 27.72/28.17 Y := skol20
% 27.72/28.17 Z := X
% 27.72/28.17 T := skol25
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (275) {G5,W8,D2,L2,V1,M2} R(273,2) { ! coll( skol25, skol25, X
% 27.72/28.17 ), coll( skol20, X, skol25 ) }.
% 27.72/28.17 parent0: (53254) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ), coll(
% 27.72/28.17 skol20, X, skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53256) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 27.72/28.17 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 27.72/28.17 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 27.72/28.17 , Z, T ), para( X, Y, Z, T ) }.
% 27.72/28.17 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.72/28.17 X, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := U
% 27.72/28.17 T := W
% 27.72/28.17 U := Z
% 27.72/28.17 W := T
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := Z
% 27.72/28.17 Y := T
% 27.72/28.17 Z := X
% 27.72/28.17 T := Y
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 27.72/28.17 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 27.72/28.17 parent0: (53256) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 27.72/28.17 U, W ), ! perp( Z, T, X, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := U
% 27.72/28.17 Y := W
% 27.72/28.17 Z := X
% 27.72/28.17 T := Y
% 27.72/28.17 U := Z
% 27.72/28.17 W := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53261) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 27.72/28.17 Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.72/28.17 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 27.72/28.17 , Z, T ), para( X, Y, Z, T ) }.
% 27.72/28.17 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.72/28.17 X, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := U
% 27.72/28.17 T := W
% 27.72/28.17 U := Z
% 27.72/28.17 W := T
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := U
% 27.72/28.17 Y := W
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 27.72/28.17 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.72/28.17 parent0: (53261) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 27.72/28.17 U, W ), ! perp( U, W, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 W := W
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 factor: (53264) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 27.72/28.17 , Y ) }.
% 27.72/28.17 parent0[0, 2]: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 27.72/28.17 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := X
% 27.72/28.17 W := Y
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (286) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para
% 27.72/28.17 ( X, Y, X, Y ) }.
% 27.72/28.17 parent0: (53264) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 27.72/28.17 X, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53265) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol26 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (217) {G5,W4,D2,L1,V0,M1} R(197,170) { coll( skol23, skol26,
% 27.72/28.17 skol23 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol23
% 27.72/28.17 Y := skol26
% 27.72/28.17 Z := skol23
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (290) {G6,W4,D2,L1,V0,M1} R(217,0) { coll( skol23, skol23,
% 27.72/28.17 skol26 ) }.
% 27.72/28.17 parent0: (53265) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol26 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53267) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 27.72/28.17 ( X, Z, Y, T ) }.
% 27.72/28.17 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 27.72/28.17 , Y, T, Z ) }.
% 27.72/28.17 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 27.72/28.17 , Z, Y, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := Y
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (345) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 27.72/28.17 cyclic( X, Z, T, Y ) }.
% 27.72/28.17 parent0: (53267) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 27.72/28.17 , Z, Y, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := Y
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 1
% 27.72/28.17 1 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53268) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 27.72/28.17 ( X, Z, Y, T ) }.
% 27.72/28.17 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 27.72/28.17 , X, Z, T ) }.
% 27.72/28.17 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 27.72/28.17 , Z, Y, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := Y
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (353) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 27.72/28.17 cyclic( Y, Z, X, T ) }.
% 27.72/28.17 parent0: (53268) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 27.72/28.17 , Z, Y, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53269) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 27.72/28.17 ( X, Y, T, Z ) }.
% 27.72/28.17 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 27.72/28.17 , X, Z, T ) }.
% 27.72/28.17 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 27.72/28.17 , Y, T, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := T
% 27.72/28.17 T := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (355) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 27.72/28.17 cyclic( Y, X, T, Z ) }.
% 27.72/28.17 parent0: (53269) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 27.72/28.17 , Y, T, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53270) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y )
% 27.72/28.17 , ! perp( X, Y, skol22, skol20 ) }.
% 27.72/28.17 parent0[0]: (258) {G1,W5,D2,L1,V0,M1} R(6,121) { ! perp( skol24, skol23,
% 27.72/28.17 skol22, skol20 ) }.
% 27.72/28.17 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 27.72/28.17 , Z, T ), perp( X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := skol24
% 27.72/28.17 Y := skol23
% 27.72/28.17 Z := skol22
% 27.72/28.17 T := skol20
% 27.72/28.17 U := X
% 27.72/28.17 W := Y
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (361) {G2,W10,D2,L2,V2,M2} R(258,9) { ! para( skol24, skol23,
% 27.72/28.17 X, Y ), ! perp( X, Y, skol22, skol20 ) }.
% 27.72/28.17 parent0: (53270) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y ), !
% 27.72/28.17 perp( X, Y, skol22, skol20 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53274) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 27.72/28.17 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 27.72/28.17 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 27.72/28.17 , X, Z, T ) }.
% 27.72/28.17 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 27.72/28.17 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (371) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 27.72/28.17 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 27.72/28.17 parent0: (53274) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 27.72/28.17 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := T
% 27.72/28.17 T := U
% 27.72/28.17 U := X
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 2
% 27.72/28.17 1 ==> 0
% 27.72/28.17 2 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53277) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 27.72/28.17 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 27.72/28.17 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 27.72/28.17 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 27.72/28.17 , Y, T, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := T
% 27.72/28.17 T := U
% 27.72/28.17 U := X
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := U
% 27.72/28.17 T := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (376) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 27.72/28.17 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 27.72/28.17 parent0: (53277) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 27.72/28.17 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 factor: (53279) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 27.72/28.17 Y, T, T ) }.
% 27.72/28.17 parent0[0, 1]: (371) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 27.72/28.17 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := T
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (380) {G2,W10,D2,L2,V4,M2} F(371) { ! cyclic( X, Y, Z, T ),
% 27.72/28.17 cyclic( Z, Y, T, T ) }.
% 27.72/28.17 parent0: (53279) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 27.72/28.17 , Y, T, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53281) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 27.72/28.17 ) }.
% 27.72/28.17 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 parent1[0]: (228) {G4,W8,D2,L2,V3,M2} F(214) { coll( X, Y, X ), ! coll( X,
% 27.72/28.17 Z, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := X
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (385) {G5,W8,D2,L2,V3,M2} R(228,1) { ! coll( X, Y, Z ), coll(
% 27.72/28.17 Z, X, X ) }.
% 27.72/28.17 parent0: (53281) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := Y
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 1
% 27.72/28.17 1 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53282) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 27.72/28.17 ) }.
% 27.72/28.17 parent0[0]: (385) {G5,W8,D2,L2,V3,M2} R(228,1) { ! coll( X, Y, Z ), coll( Z
% 27.72/28.17 , X, X ) }.
% 27.72/28.17 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (391) {G6,W8,D2,L2,V3,M2} R(385,1) { coll( X, Y, Y ), ! coll(
% 27.72/28.17 Z, Y, X ) }.
% 27.72/28.17 parent0: (53282) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := X
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53283) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 27.72/28.17 ) }.
% 27.72/28.17 parent0[0]: (385) {G5,W8,D2,L2,V3,M2} R(228,1) { ! coll( X, Y, Z ), coll( Z
% 27.72/28.17 , X, X ) }.
% 27.72/28.17 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := Y
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (393) {G6,W8,D2,L2,V3,M2} R(385,0) { coll( X, Y, Y ), ! coll(
% 27.72/28.17 Y, X, Z ) }.
% 27.72/28.17 parent0: (53283) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := X
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53285) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 27.72/28.17 ) }.
% 27.72/28.17 parent0[0]: (385) {G5,W8,D2,L2,V3,M2} R(228,1) { ! coll( X, Y, Z ), coll( Z
% 27.72/28.17 , X, X ) }.
% 27.72/28.17 parent1[0]: (391) {G6,W8,D2,L2,V3,M2} R(385,1) { coll( X, Y, Y ), ! coll( Z
% 27.72/28.17 , Y, X ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Y
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (394) {G7,W8,D2,L2,V3,M2} R(391,385) { ! coll( X, Y, Z ), coll
% 27.72/28.17 ( Y, Z, Z ) }.
% 27.72/28.17 parent0: (53285) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Z
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := X
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 1
% 27.72/28.17 1 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53286) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 27.72/28.17 ) }.
% 27.72/28.17 parent0[1]: (393) {G6,W8,D2,L2,V3,M2} R(385,0) { coll( X, Y, Y ), ! coll( Y
% 27.72/28.17 , X, Z ) }.
% 27.72/28.17 parent1[0]: (393) {G6,W8,D2,L2,V3,M2} R(385,0) { coll( X, Y, Y ), ! coll( Y
% 27.72/28.17 , X, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := X
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (450) {G7,W8,D2,L2,V3,M2} R(393,393) { ! coll( X, Y, Z ), coll
% 27.72/28.17 ( X, Y, Y ) }.
% 27.72/28.17 parent0: (53286) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 1
% 27.72/28.17 1 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53290) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 27.72/28.17 X ), ! coll( X, Y, T ) }.
% 27.72/28.17 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 27.72/28.17 ), coll( Y, Z, X ) }.
% 27.72/28.17 parent1[1]: (450) {G7,W8,D2,L2,V3,M2} R(393,393) { ! coll( X, Y, Z ), coll
% 27.72/28.17 ( X, Y, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := Y
% 27.72/28.17 T := Y
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := T
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (461) {G8,W12,D2,L3,V4,M3} R(450,2) { ! coll( X, Y, Z ), !
% 27.72/28.17 coll( X, Y, T ), coll( T, Y, X ) }.
% 27.72/28.17 parent0: (53290) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 27.72/28.17 , ! coll( X, Y, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := T
% 27.72/28.17 T := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 1
% 27.72/28.17 1 ==> 2
% 27.72/28.17 2 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 factor: (53293) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0, 1]: (461) {G8,W12,D2,L3,V4,M3} R(450,2) { ! coll( X, Y, Z ), !
% 27.72/28.17 coll( X, Y, T ), coll( T, Y, X ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (462) {G9,W8,D2,L2,V3,M2} F(461) { ! coll( X, Y, Z ), coll( Z
% 27.72/28.17 , Y, X ) }.
% 27.72/28.17 parent0: (53293) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53294) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 27.72/28.17 ) }.
% 27.72/28.17 parent0[0]: (462) {G9,W8,D2,L2,V3,M2} F(461) { ! coll( X, Y, Z ), coll( Z,
% 27.72/28.17 Y, X ) }.
% 27.72/28.17 parent1[1]: (450) {G7,W8,D2,L2,V3,M2} R(393,393) { ! coll( X, Y, Z ), coll
% 27.72/28.17 ( X, Y, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Y
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (463) {G10,W8,D2,L2,V3,M2} R(462,450) { coll( X, X, Y ), !
% 27.72/28.17 coll( Y, X, Z ) }.
% 27.72/28.17 parent0: (53294) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53295) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 27.72/28.17 ) }.
% 27.72/28.17 parent0[0]: (462) {G9,W8,D2,L2,V3,M2} F(461) { ! coll( X, Y, Z ), coll( Z,
% 27.72/28.17 Y, X ) }.
% 27.72/28.17 parent1[1]: (394) {G7,W8,D2,L2,V3,M2} R(391,385) { ! coll( X, Y, Z ), coll
% 27.72/28.17 ( Y, Z, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Y
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := Z
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Y
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (465) {G10,W8,D2,L2,V3,M2} R(462,394) { coll( X, X, Y ), !
% 27.72/28.17 coll( Z, Y, X ) }.
% 27.72/28.17 parent0: (53295) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := X
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53296) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 27.72/28.17 ), ! para( X, Y, U, W ) }.
% 27.72/28.17 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.72/28.17 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 27.72/28.17 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 27.72/28.17 , Y, U, W, Z, T, U, W ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 U := U
% 27.72/28.17 W := W
% 27.72/28.17 V0 := Z
% 27.72/28.17 V1 := T
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := U
% 27.72/28.17 T := W
% 27.72/28.17 U := Z
% 27.72/28.17 W := T
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (746) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 27.72/28.17 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 27.72/28.17 parent0: (53296) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 27.72/28.17 , ! para( X, Y, U, W ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := U
% 27.72/28.17 T := W
% 27.72/28.17 U := Z
% 27.72/28.17 W := T
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 1
% 27.72/28.17 1 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53297) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 27.72/28.17 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 27.72/28.17 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 27.72/28.17 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 27.72/28.17 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 27.72/28.17 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := Y
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := X
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := T
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := T
% 27.72/28.17 T := Z
% 27.72/28.17 U := X
% 27.72/28.17 W := Y
% 27.72/28.17 V0 := X
% 27.72/28.17 V1 := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (794) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 27.72/28.17 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 27.72/28.17 parent0: (53297) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 27.72/28.17 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := T
% 27.72/28.17 Z := Z
% 27.72/28.17 T := Y
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53298) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 27.72/28.17 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 27.72/28.17 cyclic( X, Y, Z, T ) }.
% 27.72/28.17 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 27.72/28.17 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 27.72/28.17 ), cong( X, Y, Z, T ) }.
% 27.72/28.17 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 27.72/28.17 Z, X, Z, Y, T, X, T, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := X
% 27.72/28.17 T := Y
% 27.72/28.17 U := Z
% 27.72/28.17 W := T
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := T
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 factor: (53300) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 27.72/28.17 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 27.72/28.17 parent0[0, 2]: (53298) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 27.72/28.17 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 27.72/28.17 cyclic( X, Y, Z, T ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := X
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (874) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 27.72/28.17 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 27.72/28.17 parent0: (53300) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 27.72/28.17 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 3
% 27.72/28.17 3 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 factor: (53305) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 27.72/28.17 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 27.72/28.17 parent0[0, 2]: (874) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 27.72/28.17 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 T := X
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (906) {G2,W15,D2,L3,V3,M3} F(874) { ! cyclic( X, Y, Z, X ), !
% 27.72/28.17 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 27.72/28.17 parent0: (53305) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 27.72/28.17 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := Z
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 2 ==> 2
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53307) {G1,W9,D2,L2,V0,M2} { ! coll( skol27, skol25, skol20 )
% 27.72/28.17 , perp( skol25, skol26, skol26, skol20 ) }.
% 27.72/28.17 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 27.72/28.17 , X, Z ), perp( X, Y, Y, Z ) }.
% 27.72/28.17 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol26,
% 27.72/28.17 skol20 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol25
% 27.72/28.17 Y := skol26
% 27.72/28.17 Z := skol20
% 27.72/28.17 T := skol27
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (1432) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol27, skol25
% 27.72/28.17 , skol20 ), perp( skol25, skol26, skol26, skol20 ) }.
% 27.72/28.17 parent0: (53307) {G1,W9,D2,L2,V0,M2} { ! coll( skol27, skol25, skol20 ),
% 27.72/28.17 perp( skol25, skol26, skol26, skol20 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 1 ==> 1
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53308) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T
% 27.72/28.17 , Y ) }.
% 27.72/28.17 parent0[1]: (465) {G10,W8,D2,L2,V3,M2} R(462,394) { coll( X, X, Y ), ! coll
% 27.72/28.17 ( Z, Y, X ) }.
% 27.72/28.17 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 27.72/28.17 ( X, T, Z ), Z, X ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Y
% 27.72/28.17 Z := skol11( X, Z, Y )
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 X := X
% 27.72/28.17 Y := T
% 27.72/28.17 Z := Y
% 27.72/28.17 T := Z
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (4142) {G11,W8,D2,L2,V3,M2} R(97,465) { ! alpha1( X, Y, Z ),
% 27.72/28.17 coll( X, X, Z ) }.
% 27.72/28.17 parent0: (53308) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T, Y
% 27.72/28.17 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := X
% 27.72/28.17 Y := Z
% 27.72/28.17 Z := T
% 27.72/28.17 T := Y
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 1
% 27.72/28.17 1 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53309) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 27.72/28.17 skol25, skol25, skol27 ) }.
% 27.72/28.17 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 27.72/28.17 skol12( X, Y ), X, X, Y ) }.
% 27.72/28.17 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol26,
% 27.72/28.17 skol20 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol25
% 27.72/28.17 Y := skol27
% 27.72/28.17 Z := skol26
% 27.72/28.17 T := skol20
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (4651) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 27.72/28.17 skol27 ), skol25, skol25, skol27 ) }.
% 27.72/28.17 parent0: (53309) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 27.72/28.17 skol25, skol25, skol27 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53310) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 27.72/28.17 skol25, skol27 ), skol25 ) }.
% 27.72/28.17 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.72/28.17 X, Y ) }.
% 27.72/28.17 parent1[0]: (4651) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 27.72/28.17 skol27 ), skol25, skol25, skol27 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol12( skol25, skol27 )
% 27.72/28.17 Y := skol25
% 27.72/28.17 Z := skol25
% 27.72/28.17 T := skol27
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (4665) {G2,W7,D3,L1,V0,M1} R(4651,7) { perp( skol25, skol27,
% 27.72/28.17 skol12( skol25, skol27 ), skol25 ) }.
% 27.72/28.17 parent0: (53310) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 27.72/28.17 skol25, skol27 ), skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53311) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 27.72/28.17 skol12( skol25, skol27 ) ) }.
% 27.72/28.17 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 27.72/28.17 T, Z ) }.
% 27.72/28.17 parent1[0]: (4665) {G2,W7,D3,L1,V0,M1} R(4651,7) { perp( skol25, skol27,
% 27.72/28.17 skol12( skol25, skol27 ), skol25 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol25
% 27.72/28.17 Y := skol27
% 27.72/28.17 Z := skol12( skol25, skol27 )
% 27.72/28.17 T := skol25
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (4676) {G3,W7,D3,L1,V0,M1} R(4665,6) { perp( skol25, skol27,
% 27.72/28.17 skol25, skol12( skol25, skol27 ) ) }.
% 27.72/28.17 parent0: (53311) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 27.72/28.17 skol12( skol25, skol27 ) ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53312) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 27.72/28.17 skol27 ), skol25, skol27 ) }.
% 27.72/28.17 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 27.72/28.17 X, Y ) }.
% 27.72/28.17 parent1[0]: (4676) {G3,W7,D3,L1,V0,M1} R(4665,6) { perp( skol25, skol27,
% 27.72/28.17 skol25, skol12( skol25, skol27 ) ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol25
% 27.72/28.17 Y := skol27
% 27.72/28.17 Z := skol25
% 27.72/28.17 T := skol12( skol25, skol27 )
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (4686) {G4,W7,D3,L1,V0,M1} R(4676,7) { perp( skol25, skol12(
% 27.72/28.17 skol25, skol27 ), skol25, skol27 ) }.
% 27.72/28.17 parent0: (53312) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 27.72/28.17 skol27 ), skol25, skol27 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53313) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 27.72/28.17 , skol27 ), skol25, skol27 ), alpha1( skol25, skol25, skol27 ) }.
% 27.72/28.17 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 27.72/28.17 T, X, Z ), alpha1( X, Y, Z ) }.
% 27.72/28.17 parent1[0]: (4686) {G4,W7,D3,L1,V0,M1} R(4676,7) { perp( skol25, skol12(
% 27.72/28.17 skol25, skol27 ), skol25, skol27 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol25
% 27.72/28.17 Y := skol25
% 27.72/28.17 Z := skol27
% 27.72/28.17 T := skol12( skol25, skol27 )
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53314) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol27 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (53313) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 27.72/28.17 , skol27 ), skol25, skol27 ), alpha1( skol25, skol25, skol27 ) }.
% 27.72/28.17 parent1[0]: (4686) {G4,W7,D3,L1,V0,M1} R(4676,7) { perp( skol25, skol12(
% 27.72/28.17 skol25, skol27 ), skol25, skol27 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (4827) {G5,W4,D2,L1,V0,M1} R(4686,96);r(4686) { alpha1( skol25
% 27.72/28.17 , skol25, skol27 ) }.
% 27.72/28.17 parent0: (53314) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol27 )
% 27.72/28.17 }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53315) {G6,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 )
% 27.72/28.17 }.
% 27.72/28.17 parent0[0]: (4142) {G11,W8,D2,L2,V3,M2} R(97,465) { ! alpha1( X, Y, Z ),
% 27.72/28.17 coll( X, X, Z ) }.
% 27.72/28.17 parent1[0]: (4827) {G5,W4,D2,L1,V0,M1} R(4686,96);r(4686) { alpha1( skol25
% 27.72/28.17 , skol25, skol27 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 X := skol25
% 27.72/28.17 Y := skol25
% 27.72/28.17 Z := skol27
% 27.72/28.17 end
% 27.72/28.17 substitution1:
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 subsumption: (4980) {G12,W4,D2,L1,V0,M1} R(4827,4142) { coll( skol25,
% 27.72/28.17 skol25, skol27 ) }.
% 27.72/28.17 parent0: (53315) {G6,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 ) }.
% 27.72/28.17 substitution0:
% 27.72/28.17 end
% 27.72/28.17 permutation0:
% 27.72/28.17 0 ==> 0
% 27.72/28.17 end
% 27.72/28.17
% 27.72/28.17 resolution: (53316) {G7,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol23 )
% 27.72/28.18 }.
% 27.72/28.18 parent0[0]: (260) {G7,W8,D2,L2,V1,M2} R(256,2) { ! coll( skol23, skol23, X
% 27.72/28.18 ), coll( X, skol25, skol23 ) }.
% 27.72/28.18 parent1[0]: (290) {G6,W4,D2,L1,V0,M1} R(217,0) { coll( skol23, skol23,
% 27.72/28.18 skol26 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol26
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (16108) {G8,W4,D2,L1,V0,M1} R(260,290) { coll( skol26, skol25
% 27.72/28.18 , skol23 ) }.
% 27.72/28.18 parent0: (53316) {G7,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol23 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53317) {G9,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 )
% 27.72/28.18 }.
% 27.72/28.18 parent0[1]: (463) {G10,W8,D2,L2,V3,M2} R(462,450) { coll( X, X, Y ), ! coll
% 27.72/28.18 ( Y, X, Z ) }.
% 27.72/28.18 parent1[0]: (16108) {G8,W4,D2,L1,V0,M1} R(260,290) { coll( skol26, skol25,
% 27.72/28.18 skol23 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := skol26
% 27.72/28.18 Z := skol23
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (16135) {G11,W4,D2,L1,V0,M1} R(16108,463) { coll( skol25,
% 27.72/28.18 skol25, skol26 ) }.
% 27.72/28.18 parent0: (53317) {G9,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53318) {G6,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol25 )
% 27.72/28.18 }.
% 27.72/28.18 parent0[0]: (275) {G5,W8,D2,L2,V1,M2} R(273,2) { ! coll( skol25, skol25, X
% 27.72/28.18 ), coll( skol20, X, skol25 ) }.
% 27.72/28.18 parent1[0]: (4980) {G12,W4,D2,L1,V0,M1} R(4827,4142) { coll( skol25, skol25
% 27.72/28.18 , skol27 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol27
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (17007) {G13,W4,D2,L1,V0,M1} R(275,4980) { coll( skol20,
% 27.72/28.18 skol27, skol25 ) }.
% 27.72/28.18 parent0: (53318) {G6,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol25 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53319) {G2,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol20 )
% 27.72/28.18 }.
% 27.72/28.18 parent0[0]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 27.72/28.18 Z, X ) }.
% 27.72/28.18 parent1[0]: (17007) {G13,W4,D2,L1,V0,M1} R(275,4980) { coll( skol20, skol27
% 27.72/28.18 , skol25 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol20
% 27.72/28.18 Y := skol27
% 27.72/28.18 Z := skol25
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (17059) {G14,W4,D2,L1,V0,M1} R(17007,166) { coll( skol27,
% 27.72/28.18 skol25, skol20 ) }.
% 27.72/28.18 parent0: (53319) {G2,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol20 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53320) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol26,
% 27.72/28.18 skol20 ) }.
% 27.72/28.18 parent0[0]: (1432) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol27, skol25,
% 27.72/28.18 skol20 ), perp( skol25, skol26, skol26, skol20 ) }.
% 27.72/28.18 parent1[0]: (17059) {G14,W4,D2,L1,V0,M1} R(17007,166) { coll( skol27,
% 27.72/28.18 skol25, skol20 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (20005) {G15,W5,D2,L1,V0,M1} S(1432);r(17059) { perp( skol25,
% 27.72/28.18 skol26, skol26, skol20 ) }.
% 27.72/28.18 parent0: (53320) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol26,
% 27.72/28.18 skol20 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53321) {G3,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 27.72/28.18 skol26 ) }.
% 27.72/28.18 parent0[0]: (286) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para
% 27.72/28.18 ( X, Y, X, Y ) }.
% 27.72/28.18 parent1[0]: (20005) {G15,W5,D2,L1,V0,M1} S(1432);r(17059) { perp( skol25,
% 27.72/28.18 skol26, skol26, skol20 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := skol26
% 27.72/28.18 Z := skol26
% 27.72/28.18 T := skol20
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (20020) {G16,W5,D2,L1,V0,M1} R(20005,286) { para( skol25,
% 27.72/28.18 skol26, skol25, skol26 ) }.
% 27.72/28.18 parent0: (53321) {G3,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 27.72/28.18 skol26 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53322) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X
% 27.72/28.18 , Y, skol25, skol26 ) }.
% 27.72/28.18 parent0[0]: (746) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 27.72/28.18 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 27.72/28.18 parent1[0]: (20020) {G16,W5,D2,L1,V0,M1} R(20005,286) { para( skol25,
% 27.72/28.18 skol26, skol25, skol26 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := skol26
% 27.72/28.18 Z := skol25
% 27.72/28.18 T := skol26
% 27.72/28.18 U := X
% 27.72/28.18 W := Y
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (42675) {G17,W9,D2,L1,V2,M1} R(746,20020) { eqangle( X, Y,
% 27.72/28.18 skol25, skol26, X, Y, skol25, skol26 ) }.
% 27.72/28.18 parent0: (53322) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X, Y
% 27.72/28.18 , skol25, skol26 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53323) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol25,
% 27.72/28.18 skol25 ), ! eqangle( skol25, X, skol25, skol26, skol25, X, skol25, skol26
% 27.72/28.18 ) }.
% 27.72/28.18 parent0[0]: (794) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 27.72/28.18 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 27.72/28.18 parent1[0]: (16135) {G11,W4,D2,L1,V0,M1} R(16108,463) { coll( skol25,
% 27.72/28.18 skol25, skol26 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := skol25
% 27.72/28.18 Z := skol26
% 27.72/28.18 T := X
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53324) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25,
% 27.72/28.18 skol25 ) }.
% 27.72/28.18 parent0[1]: (53323) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol25,
% 27.72/28.18 skol25 ), ! eqangle( skol25, X, skol25, skol26, skol25, X, skol25, skol26
% 27.72/28.18 ) }.
% 27.72/28.18 parent1[0]: (42675) {G17,W9,D2,L1,V2,M1} R(746,20020) { eqangle( X, Y,
% 27.72/28.18 skol25, skol26, X, Y, skol25, skol26 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := X
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (45888) {G18,W5,D2,L1,V1,M1} R(794,16135);r(42675) { cyclic( X
% 27.72/28.18 , skol26, skol25, skol25 ) }.
% 27.72/28.18 parent0: (53324) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25, skol25 )
% 27.72/28.18 }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53325) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25,
% 27.72/28.18 skol25 ) }.
% 27.72/28.18 parent0[1]: (355) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 27.72/28.18 cyclic( Y, X, T, Z ) }.
% 27.72/28.18 parent1[0]: (45888) {G18,W5,D2,L1,V1,M1} R(794,16135);r(42675) { cyclic( X
% 27.72/28.18 , skol26, skol25, skol25 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol26
% 27.72/28.18 Y := X
% 27.72/28.18 Z := skol25
% 27.72/28.18 T := skol25
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (46077) {G19,W5,D2,L1,V1,M1} R(45888,355) { cyclic( skol26, X
% 27.72/28.18 , skol25, skol25 ) }.
% 27.72/28.18 parent0: (53325) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25, skol25 )
% 27.72/28.18 }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53326) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25,
% 27.72/28.18 skol25 ) }.
% 27.72/28.18 parent0[0]: (380) {G2,W10,D2,L2,V4,M2} F(371) { ! cyclic( X, Y, Z, T ),
% 27.72/28.18 cyclic( Z, Y, T, T ) }.
% 27.72/28.18 parent1[0]: (46077) {G19,W5,D2,L1,V1,M1} R(45888,355) { cyclic( skol26, X,
% 27.72/28.18 skol25, skol25 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol26
% 27.72/28.18 Y := X
% 27.72/28.18 Z := skol25
% 27.72/28.18 T := skol25
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (46089) {G20,W5,D2,L1,V1,M1} R(46077,380) { cyclic( skol25, X
% 27.72/28.18 , skol25, skol25 ) }.
% 27.72/28.18 parent0: (53326) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25, skol25 )
% 27.72/28.18 }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53327) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X,
% 27.72/28.18 skol25 ) }.
% 27.72/28.18 parent0[1]: (353) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 27.72/28.18 cyclic( Y, Z, X, T ) }.
% 27.72/28.18 parent1[0]: (46089) {G20,W5,D2,L1,V1,M1} R(46077,380) { cyclic( skol25, X,
% 27.72/28.18 skol25, skol25 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := skol25
% 27.72/28.18 Z := X
% 27.72/28.18 T := skol25
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (46111) {G21,W5,D2,L1,V1,M1} R(46089,353) { cyclic( skol25,
% 27.72/28.18 skol25, X, skol25 ) }.
% 27.72/28.18 parent0: (53327) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X, skol25 )
% 27.72/28.18 }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53328) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25,
% 27.72/28.18 X ) }.
% 27.72/28.18 parent0[0]: (345) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 27.72/28.18 cyclic( X, Z, T, Y ) }.
% 27.72/28.18 parent1[0]: (46089) {G20,W5,D2,L1,V1,M1} R(46077,380) { cyclic( skol25, X,
% 27.72/28.18 skol25, skol25 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := X
% 27.72/28.18 Z := skol25
% 27.72/28.18 T := skol25
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (46112) {G21,W5,D2,L1,V1,M1} R(46089,345) { cyclic( skol25,
% 27.72/28.18 skol25, skol25, X ) }.
% 27.72/28.18 parent0: (53328) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25, X )
% 27.72/28.18 }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53330) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 27.72/28.18 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 27.72/28.18 parent0[2]: (376) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 27.72/28.18 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 27.72/28.18 parent1[0]: (46111) {G21,W5,D2,L1,V1,M1} R(46089,353) { cyclic( skol25,
% 27.72/28.18 skol25, X, skol25 ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := skol25
% 27.72/28.18 Z := skol25
% 27.72/28.18 T := X
% 27.72/28.18 U := Y
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := Y
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53331) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y )
% 27.72/28.18 }.
% 27.72/28.18 parent0[0]: (53330) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 27.72/28.18 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 27.72/28.18 parent1[0]: (46112) {G21,W5,D2,L1,V1,M1} R(46089,345) { cyclic( skol25,
% 27.72/28.18 skol25, skol25, X ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (46117) {G22,W5,D2,L1,V2,M1} R(46111,376);r(46112) { cyclic(
% 27.72/28.18 skol25, skol25, X, Y ) }.
% 27.72/28.18 parent0: (53331) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53332) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 27.72/28.18 cyclic( skol25, skol25, Z, X ) }.
% 27.72/28.18 parent0[0]: (376) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 27.72/28.18 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 27.72/28.18 parent1[0]: (46117) {G22,W5,D2,L1,V2,M1} R(46111,376);r(46112) { cyclic(
% 27.72/28.18 skol25, skol25, X, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := skol25
% 27.72/28.18 Z := X
% 27.72/28.18 T := Y
% 27.72/28.18 U := Z
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53334) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 27.72/28.18 parent0[1]: (53332) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 27.72/28.18 cyclic( skol25, skol25, Z, X ) }.
% 27.72/28.18 parent1[0]: (46117) {G22,W5,D2,L1,V2,M1} R(46111,376);r(46112) { cyclic(
% 27.72/28.18 skol25, skol25, X, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := Z
% 27.72/28.18 Y := X
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (46408) {G23,W5,D2,L1,V3,M1} R(46117,376);r(46117) { cyclic(
% 27.72/28.18 skol25, X, Y, Z ) }.
% 27.72/28.18 parent0: (53334) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53335) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 27.72/28.18 ( skol25, X, T, Y ) }.
% 27.72/28.18 parent0[0]: (376) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 27.72/28.18 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 27.72/28.18 parent1[0]: (46408) {G23,W5,D2,L1,V3,M1} R(46117,376);r(46117) { cyclic(
% 27.72/28.18 skol25, X, Y, Z ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := skol25
% 27.72/28.18 Y := X
% 27.72/28.18 Z := Y
% 27.72/28.18 T := Z
% 27.72/28.18 U := T
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53337) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 27.72/28.18 parent0[1]: (53335) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 27.72/28.18 ( skol25, X, T, Y ) }.
% 27.72/28.18 parent1[0]: (46408) {G23,W5,D2,L1,V3,M1} R(46117,376);r(46117) { cyclic(
% 27.72/28.18 skol25, X, Y, Z ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 T := T
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := T
% 27.72/28.18 Z := Y
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (46427) {G24,W5,D2,L1,V4,M1} R(46408,376);r(46408) { cyclic( X
% 27.72/28.18 , Y, Z, T ) }.
% 27.72/28.18 parent0: (53337) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 T := T
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53340) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 27.72/28.18 , Y, X, Y ) }.
% 27.72/28.18 parent0[0]: (906) {G2,W15,D2,L3,V3,M3} F(874) { ! cyclic( X, Y, Z, X ), !
% 27.72/28.18 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 27.72/28.18 parent1[0]: (46427) {G24,W5,D2,L1,V4,M1} R(46408,376);r(46408) { cyclic( X
% 27.72/28.18 , Y, Z, T ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 T := X
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53342) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 27.72/28.18 parent0[0]: (53340) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 27.72/28.18 , Y, X, Y ) }.
% 27.72/28.18 parent1[0]: (46427) {G24,W5,D2,L1,V4,M1} R(46408,376);r(46408) { cyclic( X
% 27.72/28.18 , Y, Z, T ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 T := Y
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (52421) {G25,W5,D2,L1,V2,M1} S(906);r(46427);r(46427) { cong(
% 27.72/28.18 X, Y, X, Y ) }.
% 27.72/28.18 parent0: (53342) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53343) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 27.72/28.18 X, Y, Z ) }.
% 27.72/28.18 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 27.72/28.18 T, Y, T ), perp( X, Y, Z, T ) }.
% 27.72/28.18 parent1[0]: (52421) {G25,W5,D2,L1,V2,M1} S(906);r(46427);r(46427) { cong( X
% 27.72/28.18 , Y, X, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := X
% 27.72/28.18 Z := Y
% 27.72/28.18 T := Z
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53345) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 27.72/28.18 parent0[0]: (53343) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 27.72/28.18 X, Y, Z ) }.
% 27.72/28.18 parent1[0]: (52421) {G25,W5,D2,L1,V2,M1} S(906);r(46427);r(46427) { cong( X
% 27.72/28.18 , Y, X, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Z
% 27.72/28.18 Z := Y
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (52438) {G26,W5,D2,L1,V3,M1} R(52421,56);r(52421) { perp( X, X
% 27.72/28.18 , Z, Y ) }.
% 27.72/28.18 parent0: (53345) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53346) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 27.72/28.18 X, T, U ) }.
% 27.72/28.18 parent0[0]: (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 27.72/28.18 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 27.72/28.18 parent1[0]: (52438) {G26,W5,D2,L1,V3,M1} R(52421,56);r(52421) { perp( X, X
% 27.72/28.18 , Z, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := X
% 27.72/28.18 Z := Y
% 27.72/28.18 T := Z
% 27.72/28.18 U := T
% 27.72/28.18 W := U
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Z
% 27.72/28.18 Z := Y
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53348) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 27.72/28.18 parent0[1]: (53346) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 27.72/28.18 X, T, U ) }.
% 27.72/28.18 parent1[0]: (52438) {G26,W5,D2,L1,V3,M1} R(52421,56);r(52421) { perp( X, X
% 27.72/28.18 , Z, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := U
% 27.72/28.18 Y := Z
% 27.72/28.18 Z := T
% 27.72/28.18 T := X
% 27.72/28.18 U := Y
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := U
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := X
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (52467) {G27,W5,D2,L1,V4,M1} R(52438,277);r(52438) { para( X,
% 27.72/28.18 Y, Z, T ) }.
% 27.72/28.18 parent0: (53348) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 T := T
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53349) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 27.72/28.18 Y, T, U ) }.
% 27.72/28.18 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 27.72/28.18 , Z, T ), perp( X, Y, Z, T ) }.
% 27.72/28.18 parent1[0]: (52438) {G26,W5,D2,L1,V3,M1} R(52421,56);r(52421) { perp( X, X
% 27.72/28.18 , Z, Y ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := T
% 27.72/28.18 T := U
% 27.72/28.18 U := Z
% 27.72/28.18 W := Z
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := Z
% 27.72/28.18 Y := U
% 27.72/28.18 Z := T
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53350) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 27.72/28.18 parent0[0]: (53349) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 27.72/28.18 Y, T, U ) }.
% 27.72/28.18 parent1[0]: (52467) {G27,W5,D2,L1,V4,M1} R(52438,277);r(52438) { para( X, Y
% 27.72/28.18 , Z, T ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 T := T
% 27.72/28.18 U := U
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 T := Z
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (52489) {G28,W5,D2,L1,V4,M1} R(52438,9);r(52467) { perp( X, Y
% 27.72/28.18 , T, U ) }.
% 27.72/28.18 parent0: (53350) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := W
% 27.72/28.18 T := T
% 27.72/28.18 U := U
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 0 ==> 0
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53351) {G3,W5,D2,L1,V2,M1} { ! perp( X, Y, skol22, skol20 )
% 27.72/28.18 }.
% 27.72/28.18 parent0[0]: (361) {G2,W10,D2,L2,V2,M2} R(258,9) { ! para( skol24, skol23, X
% 27.72/28.18 , Y ), ! perp( X, Y, skol22, skol20 ) }.
% 27.72/28.18 parent1[0]: (52467) {G27,W5,D2,L1,V4,M1} R(52438,277);r(52438) { para( X, Y
% 27.72/28.18 , Z, T ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := skol24
% 27.72/28.18 Y := skol23
% 27.72/28.18 Z := X
% 27.72/28.18 T := Y
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 resolution: (53352) {G4,W0,D0,L0,V0,M0} { }.
% 27.72/28.18 parent0[0]: (53351) {G3,W5,D2,L1,V2,M1} { ! perp( X, Y, skol22, skol20 )
% 27.72/28.18 }.
% 27.72/28.18 parent1[0]: (52489) {G28,W5,D2,L1,V4,M1} R(52438,9);r(52467) { perp( X, Y,
% 27.72/28.18 T, U ) }.
% 27.72/28.18 substitution0:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 end
% 27.72/28.18 substitution1:
% 27.72/28.18 X := X
% 27.72/28.18 Y := Y
% 27.72/28.18 Z := Z
% 27.72/28.18 T := skol22
% 27.72/28.18 U := skol20
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 subsumption: (52622) {G29,W0,D0,L0,V0,M0} R(52467,361);r(52489) { }.
% 27.72/28.18 parent0: (53352) {G4,W0,D0,L0,V0,M0} { }.
% 27.72/28.18 substitution0:
% 27.72/28.18 end
% 27.72/28.18 permutation0:
% 27.72/28.18 end
% 27.72/28.18
% 27.72/28.18 Proof check complete!
% 27.72/28.18
% 27.72/28.18 Memory use:
% 27.72/28.18
% 27.72/28.18 space for terms: 741640
% 27.72/28.18 space for clauses: 2143783
% 27.72/28.18
% 27.72/28.18
% 27.72/28.18 clauses generated: 656426
% 27.72/28.18 clauses kept: 52623
% 27.72/28.18 clauses selected: 2883
% 27.72/28.18 clauses deleted: 6331
% 27.72/28.18 clauses inuse deleted: 250
% 27.72/28.18
% 27.72/28.18 subsentry: 44901595
% 27.72/28.18 literals s-matched: 23765215
% 27.72/28.18 literals matched: 14289590
% 27.72/28.18 full subsumption: 3449500
% 27.72/28.18
% 27.72/28.18 checksum: -1817228246
% 27.72/28.18
% 27.72/28.18
% 27.72/28.18 Bliksem ended
%------------------------------------------------------------------------------