%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO572+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 02:54:48 EDT 2022
% Result : Theorem 30.90s 31.27s
% Output : Refutation 30.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO572+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Fri Jun 17 15:16:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.81/1.19 *** allocated 10000 integers for termspace/termends
% 0.81/1.19 *** allocated 10000 integers for clauses
% 0.81/1.19 *** allocated 10000 integers for justifications
% 0.81/1.19 Bliksem 1.12
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 Automatic Strategy Selection
% 0.81/1.19
% 0.81/1.19 *** allocated 15000 integers for termspace/termends
% 0.81/1.19
% 0.81/1.19 Clauses:
% 0.81/1.19
% 0.81/1.19 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.81/1.19 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.81/1.19 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.81/1.19 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.81/1.19 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.81/1.19 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.19 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.81/1.19 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.81/1.19 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.19 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.81/1.19 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.81/1.19 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.81/1.19 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.81/1.19 ( X, Y, Z, T ) }.
% 0.81/1.19 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.81/1.19 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.81/1.19 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.81/1.19 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.81/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.81/1.19 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.19 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.81/1.19 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.81/1.19 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.81/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.81/1.19 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.19 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.19 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.19 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.19 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.81/1.19 ( X, Y, Z, T, U, W ) }.
% 0.81/1.19 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.19 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.19 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.19 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.81/1.19 ( X, Y, Z, T, U, W ) }.
% 0.81/1.19 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.81/1.19 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.81/1.19 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.81/1.19 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.81/1.19 T ) }.
% 0.81/1.19 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.81/1.19 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.81/1.19 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.81/1.19 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.81/1.19 ) }.
% 0.81/1.19 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.81/1.19 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.81/1.19 }.
% 0.81/1.19 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.81/1.19 Z, Y ) }.
% 0.81/1.19 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.81/1.19 X, Z ) }.
% 0.81/1.19 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.81/1.19 U ) }.
% 0.81/1.19 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.81/1.19 , Z ), midp( Z, X, Y ) }.
% 0.81/1.19 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.81/1.19 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.81/1.19 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.81/1.19 Z, Y ) }.
% 0.81/1.19 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.81/1.19 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.81/1.19 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.81/1.19 ( Y, X, X, Z ) }.
% 0.81/1.19 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.81/1.19 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.19 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.81/1.19 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.81/1.19 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.81/1.19 , W ) }.
% 0.81/1.19 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.81/1.19 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.81/1.19 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.81/1.19 , Y ) }.
% 0.81/1.19 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.81/1.19 , X, Z, U, Y, Y, T ) }.
% 0.81/1.19 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.81/1.19 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.81/1.19 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.81/1.19 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.81/1.19 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.81/1.19 .
% 0.81/1.19 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.81/1.19 ) }.
% 0.81/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.81/1.19 , Z, T ) }.
% 0.81/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.81/1.19 , Z, T ) }.
% 0.81/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.81/1.19 , Z, T ) }.
% 0.81/1.19 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.81/1.19 , W, Z, T ), Z, T ) }.
% 0.81/1.19 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.81/1.19 , Y, Z, T ), X, Y ) }.
% 0.81/1.19 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.81/1.19 , W, Z, T ), Z, T ) }.
% 0.81/1.19 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.19 skol2( X, Y, Z, T ) ) }.
% 0.81/1.19 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.81/1.19 , W, Z, T ), Z, T ) }.
% 0.81/1.19 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.19 skol3( X, Y, Z, T ) ) }.
% 0.81/1.19 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.81/1.19 , T ) }.
% 0.81/1.19 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.81/1.19 ) ) }.
% 0.81/1.19 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.81/1.19 skol5( W, Y, Z, T ) ) }.
% 0.81/1.19 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.81/1.19 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.81/1.19 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.81/1.19 , X, T ) }.
% 0.81/1.19 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.81/1.19 W, X, Z ) }.
% 0.81/1.19 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.81/1.19 , Y, T ) }.
% 0.81/1.19 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.81/1.19 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.81/1.19 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.19 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.81/1.19 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.19 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.81/1.19 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.81/1.19 Z, T ) ) }.
% 0.81/1.19 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.81/1.19 , T ) ) }.
% 0.81/1.19 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.81/1.19 , X, Y ) }.
% 0.81/1.19 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.81/1.19 ) }.
% 0.81/1.19 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.81/1.19 , Y ) }.
% 0.81/1.19 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.81/1.19 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.81/1.19 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.81/1.19 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.81/1.19 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.92/4.27 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.92/4.27 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.92/4.27 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.92/4.27 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.92/4.27 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.92/4.27 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.92/4.27 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.92/4.27 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.92/4.27 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.92/4.27 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.92/4.27 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.92/4.27 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.92/4.27 X, Y, Z ) }.
% 3.92/4.27 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.92/4.27 }.
% 3.92/4.27 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.92/4.27 ) }.
% 3.92/4.27 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.92/4.27 skol17( X, Y ), X, Y ) }.
% 3.92/4.27 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.92/4.27 }.
% 3.92/4.27 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.92/4.27 ) }.
% 3.92/4.27 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.92/4.27 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.92/4.27 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.92/4.27 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.92/4.27 { perp( skol20, skol22, skol25, skol23 ) }.
% 3.92/4.27 { perp( skol20, skol25, skol22, skol23 ) }.
% 3.92/4.27 { perp( skol22, skol25, skol20, skol23 ) }.
% 3.92/4.27 { perp( skol25, skol23, skol23, skol24 ) }.
% 3.92/4.27 { circle( skol26, skol23, skol22, skol25 ) }.
% 3.92/4.27 { circle( skol26, skol22, skol24, skol27 ) }.
% 3.92/4.27 { ! para( skol20, skol23, skol22, skol24 ) }.
% 3.92/4.27
% 3.92/4.27 percentage equality = 0.008798, percentage horn = 0.926829
% 3.92/4.27 This is a problem with some equality
% 3.92/4.27
% 3.92/4.27
% 3.92/4.27
% 3.92/4.27 Options Used:
% 3.92/4.27
% 3.92/4.27 useres = 1
% 3.92/4.27 useparamod = 1
% 3.92/4.27 useeqrefl = 1
% 3.92/4.27 useeqfact = 1
% 3.92/4.27 usefactor = 1
% 3.92/4.27 usesimpsplitting = 0
% 3.92/4.27 usesimpdemod = 5
% 3.92/4.27 usesimpres = 3
% 3.92/4.27
% 3.92/4.27 resimpinuse = 1000
% 3.92/4.27 resimpclauses = 20000
% 3.92/4.27 substype = eqrewr
% 3.92/4.27 backwardsubs = 1
% 3.92/4.27 selectoldest = 5
% 3.92/4.27
% 3.92/4.27 litorderings [0] = split
% 3.92/4.27 litorderings [1] = extend the termordering, first sorting on arguments
% 3.92/4.27
% 3.92/4.27 termordering = kbo
% 3.92/4.27
% 3.92/4.27 litapriori = 0
% 3.92/4.27 termapriori = 1
% 3.92/4.27 litaposteriori = 0
% 3.92/4.27 termaposteriori = 0
% 3.92/4.27 demodaposteriori = 0
% 3.92/4.27 ordereqreflfact = 0
% 3.92/4.27
% 3.92/4.27 litselect = negord
% 3.92/4.27
% 3.92/4.27 maxweight = 15
% 3.92/4.27 maxdepth = 30000
% 3.92/4.27 maxlength = 115
% 3.92/4.27 maxnrvars = 195
% 3.92/4.27 excuselevel = 1
% 3.92/4.27 increasemaxweight = 1
% 3.92/4.27
% 3.92/4.27 maxselected = 10000000
% 3.92/4.27 maxnrclauses = 10000000
% 3.92/4.27
% 3.92/4.27 showgenerated = 0
% 3.92/4.27 showkept = 0
% 3.92/4.27 showselected = 0
% 3.92/4.27 showdeleted = 0
% 3.92/4.27 showresimp = 1
% 3.92/4.27 showstatus = 2000
% 3.92/4.27
% 3.92/4.27 prologoutput = 0
% 3.92/4.27 nrgoals = 5000000
% 3.92/4.27 totalproof = 1
% 3.92/4.27
% 3.92/4.27 Symbols occurring in the translation:
% 3.92/4.27
% 3.92/4.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.92/4.27 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 3.92/4.27 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 3.92/4.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.92/4.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.92/4.27 coll [38, 3] (w:1, o:65, a:1, s:1, b:0),
% 3.92/4.27 para [40, 4] (w:1, o:73, a:1, s:1, b:0),
% 3.92/4.27 perp [43, 4] (w:1, o:74, a:1, s:1, b:0),
% 3.92/4.27 midp [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 3.92/4.27 cong [47, 4] (w:1, o:75, a:1, s:1, b:0),
% 3.92/4.27 circle [48, 4] (w:1, o:76, a:1, s:1, b:0),
% 3.92/4.27 cyclic [49, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.92/4.27 eqangle [54, 8] (w:1, o:92, a:1, s:1, b:0),
% 3.92/4.27 eqratio [57, 8] (w:1, o:93, a:1, s:1, b:0),
% 3.92/4.27 simtri [59, 6] (w:1, o:89, a:1, s:1, b:0),
% 3.92/4.27 contri [60, 6] (w:1, o:90, a:1, s:1, b:0),
% 3.92/4.27 alpha1 [65, 3] (w:1, o:67, a:1, s:1, b:1),
% 3.92/4.27 alpha2 [66, 4] (w:1, o:78, a:1, s:1, b:1),
% 3.92/4.27 skol1 [67, 4] (w:1, o:79, a:1, s:1, b:1),
% 3.92/4.27 skol2 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 3.92/4.27 skol3 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 3.92/4.27 skol4 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.92/4.27 skol5 [71, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.92/4.27 skol6 [72, 6] (w:1, o:91, a:1, s:1, b:1),
% 3.92/4.27 skol7 [73, 2] (w:1, o:61, a:1, s:1, b:1),
% 3.92/4.27 skol8 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 29.21/29.62 skol9 [75, 4] (w:1, o:87, a:1, s:1, b:1),
% 29.21/29.62 skol10 [76, 3] (w:1, o:68, a:1, s:1, b:1),
% 29.21/29.62 skol11 [77, 3] (w:1, o:69, a:1, s:1, b:1),
% 29.21/29.62 skol12 [78, 2] (w:1, o:62, a:1, s:1, b:1),
% 29.21/29.62 skol13 [79, 5] (w:1, o:88, a:1, s:1, b:1),
% 29.21/29.62 skol14 [80, 3] (w:1, o:70, a:1, s:1, b:1),
% 29.21/29.62 skol15 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 29.21/29.62 skol16 [82, 3] (w:1, o:72, a:1, s:1, b:1),
% 29.21/29.62 skol17 [83, 2] (w:1, o:63, a:1, s:1, b:1),
% 29.21/29.62 skol18 [84, 2] (w:1, o:64, a:1, s:1, b:1),
% 29.21/29.62 skol19 [85, 4] (w:1, o:80, a:1, s:1, b:1),
% 29.21/29.62 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 29.21/29.62 skol21 [87, 4] (w:1, o:82, a:1, s:1, b:1),
% 29.21/29.62 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 29.21/29.62 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 29.21/29.62 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 29.21/29.62 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 29.21/29.62 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 29.21/29.62 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1).
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Starting Search:
% 29.21/29.62
% 29.21/29.62 *** allocated 15000 integers for clauses
% 29.21/29.62 *** allocated 22500 integers for clauses
% 29.21/29.62 *** allocated 33750 integers for clauses
% 29.21/29.62 *** allocated 22500 integers for termspace/termends
% 29.21/29.62 *** allocated 50625 integers for clauses
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 *** allocated 75937 integers for clauses
% 29.21/29.62 *** allocated 33750 integers for termspace/termends
% 29.21/29.62 *** allocated 113905 integers for clauses
% 29.21/29.62 *** allocated 50625 integers for termspace/termends
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 7249
% 29.21/29.62 Kept: 2036
% 29.21/29.62 Inuse: 351
% 29.21/29.62 Deleted: 0
% 29.21/29.62 Deletedinuse: 0
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 *** allocated 170857 integers for clauses
% 29.21/29.62 *** allocated 75937 integers for termspace/termends
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 *** allocated 113905 integers for termspace/termends
% 29.21/29.62 *** allocated 256285 integers for clauses
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 15856
% 29.21/29.62 Kept: 4048
% 29.21/29.62 Inuse: 496
% 29.21/29.62 Deleted: 0
% 29.21/29.62 Deletedinuse: 0
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 *** allocated 170857 integers for termspace/termends
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 *** allocated 384427 integers for clauses
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 31670
% 29.21/29.62 Kept: 6051
% 29.21/29.62 Inuse: 633
% 29.21/29.62 Deleted: 1
% 29.21/29.62 Deletedinuse: 0
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 *** allocated 576640 integers for clauses
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 49786
% 29.21/29.62 Kept: 8060
% 29.21/29.62 Inuse: 759
% 29.21/29.62 Deleted: 5
% 29.21/29.62 Deletedinuse: 3
% 29.21/29.62
% 29.21/29.62 *** allocated 256285 integers for termspace/termends
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 60381
% 29.21/29.62 Kept: 10060
% 29.21/29.62 Inuse: 817
% 29.21/29.62 Deleted: 5
% 29.21/29.62 Deletedinuse: 3
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 70657
% 29.21/29.62 Kept: 12081
% 29.21/29.62 Inuse: 891
% 29.21/29.62 Deleted: 10
% 29.21/29.62 Deletedinuse: 3
% 29.21/29.62
% 29.21/29.62 *** allocated 864960 integers for clauses
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 82002
% 29.21/29.62 Kept: 14107
% 29.21/29.62 Inuse: 1007
% 29.21/29.62 Deleted: 58
% 29.21/29.62 Deletedinuse: 49
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 *** allocated 384427 integers for termspace/termends
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 93009
% 29.21/29.62 Kept: 16122
% 29.21/29.62 Inuse: 1131
% 29.21/29.62 Deleted: 58
% 29.21/29.62 Deletedinuse: 49
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 103571
% 29.21/29.62 Kept: 18139
% 29.21/29.62 Inuse: 1231
% 29.21/29.62 Deleted: 60
% 29.21/29.62 Deletedinuse: 49
% 29.21/29.62
% 29.21/29.62 *** allocated 1297440 integers for clauses
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying clauses:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 113256
% 29.21/29.62 Kept: 20141
% 29.21/29.62 Inuse: 1307
% 29.21/29.62 Deleted: 787
% 29.21/29.62 Deletedinuse: 49
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 122067
% 29.21/29.62 Kept: 22167
% 29.21/29.62 Inuse: 1370
% 29.21/29.62 Deleted: 787
% 29.21/29.62 Deletedinuse: 49
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 131571
% 29.21/29.62 Kept: 24167
% 29.21/29.62 Inuse: 1441
% 29.21/29.62 Deleted: 787
% 29.21/29.62 Deletedinuse: 49
% 29.21/29.62
% 29.21/29.62 *** allocated 576640 integers for termspace/termends
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62 Resimplifying inuse:
% 29.21/29.62 Done
% 29.21/29.62
% 29.21/29.62
% 29.21/29.62 Intermediate Status:
% 29.21/29.62 Generated: 144217
% 30.90/31.27 Kept: 26187
% 30.90/31.27 Inuse: 1504
% 30.90/31.27 Deleted: 787
% 30.90/31.27 Deletedinuse: 49
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 165051
% 30.90/31.27 Kept: 28201
% 30.90/31.27 Inuse: 1583
% 30.90/31.27 Deleted: 787
% 30.90/31.27 Deletedinuse: 49
% 30.90/31.27
% 30.90/31.27 *** allocated 1946160 integers for clauses
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 183718
% 30.90/31.27 Kept: 30949
% 30.90/31.27 Inuse: 1630
% 30.90/31.27 Deleted: 787
% 30.90/31.27 Deletedinuse: 49
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 193065
% 30.90/31.27 Kept: 32973
% 30.90/31.27 Inuse: 1651
% 30.90/31.27 Deleted: 789
% 30.90/31.27 Deletedinuse: 51
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 203871
% 30.90/31.27 Kept: 35018
% 30.90/31.27 Inuse: 1729
% 30.90/31.27 Deleted: 790
% 30.90/31.27 Deletedinuse: 51
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 216634
% 30.90/31.27 Kept: 37217
% 30.90/31.27 Inuse: 1769
% 30.90/31.27 Deleted: 800
% 30.90/31.27 Deletedinuse: 61
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 226565
% 30.90/31.27 Kept: 39249
% 30.90/31.27 Inuse: 1826
% 30.90/31.27 Deleted: 817
% 30.90/31.27 Deletedinuse: 73
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 *** allocated 864960 integers for termspace/termends
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying clauses:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 232426
% 30.90/31.27 Kept: 41251
% 30.90/31.27 Inuse: 1870
% 30.90/31.27 Deleted: 7692
% 30.90/31.27 Deletedinuse: 82
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 244748
% 30.90/31.27 Kept: 43464
% 30.90/31.27 Inuse: 1973
% 30.90/31.27 Deleted: 7692
% 30.90/31.27 Deletedinuse: 82
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 254016
% 30.90/31.27 Kept: 45469
% 30.90/31.27 Inuse: 2032
% 30.90/31.27 Deleted: 7693
% 30.90/31.27 Deletedinuse: 83
% 30.90/31.27
% 30.90/31.27 *** allocated 2919240 integers for clauses
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 267551
% 30.90/31.27 Kept: 47605
% 30.90/31.27 Inuse: 2128
% 30.90/31.27 Deleted: 7696
% 30.90/31.27 Deletedinuse: 86
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 282697
% 30.90/31.27 Kept: 49625
% 30.90/31.27 Inuse: 2265
% 30.90/31.27 Deleted: 7704
% 30.90/31.27 Deletedinuse: 91
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 303501
% 30.90/31.27 Kept: 51634
% 30.90/31.27 Inuse: 2436
% 30.90/31.27 Deleted: 7706
% 30.90/31.27 Deletedinuse: 91
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 319737
% 30.90/31.27 Kept: 53637
% 30.90/31.27 Inuse: 2525
% 30.90/31.27 Deleted: 7706
% 30.90/31.27 Deletedinuse: 91
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 330723
% 30.90/31.27 Kept: 55927
% 30.90/31.27 Inuse: 2568
% 30.90/31.27 Deleted: 7706
% 30.90/31.27 Deletedinuse: 91
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 341278
% 30.90/31.27 Kept: 57954
% 30.90/31.27 Inuse: 2588
% 30.90/31.27 Deleted: 7706
% 30.90/31.27 Deletedinuse: 91
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 372372
% 30.90/31.27 Kept: 60039
% 30.90/31.27 Inuse: 2668
% 30.90/31.27 Deleted: 7721
% 30.90/31.27 Deletedinuse: 96
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying clauses:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 *** allocated 1297440 integers for termspace/termends
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 395255
% 30.90/31.27 Kept: 62091
% 30.90/31.27 Inuse: 2759
% 30.90/31.27 Deleted: 11307
% 30.90/31.27 Deletedinuse: 98
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 429431
% 30.90/31.27 Kept: 64146
% 30.90/31.27 Inuse: 2854
% 30.90/31.27 Deleted: 11309
% 30.90/31.27 Deletedinuse: 100
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 472982
% 30.90/31.27 Kept: 66161
% 30.90/31.27 Inuse: 2939
% 30.90/31.27 Deleted: 11309
% 30.90/31.27 Deletedinuse: 100
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 544726
% 30.90/31.27 Kept: 68179
% 30.90/31.27 Inuse: 3049
% 30.90/31.27 Deleted: 11315
% 30.90/31.27 Deletedinuse: 105
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 580293
% 30.90/31.27 Kept: 70199
% 30.90/31.27 Inuse: 3112
% 30.90/31.27 Deleted: 11316
% 30.90/31.27 Deletedinuse: 105
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 *** allocated 4378860 integers for clauses
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Intermediate Status:
% 30.90/31.27 Generated: 632943
% 30.90/31.27 Kept: 72237
% 30.90/31.27 Inuse: 3210
% 30.90/31.27 Deleted: 11492
% 30.90/31.27 Deletedinuse: 211
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27 Resimplifying inuse:
% 30.90/31.27 Done
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Bliksems!, er is een bewijs:
% 30.90/31.27 % SZS status Theorem
% 30.90/31.27 % SZS output start Refutation
% 30.90/31.27
% 30.90/31.27 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.90/31.27 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.90/31.27 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 30.90/31.27 , Z, X ) }.
% 30.90/31.27 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 30.90/31.27 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 30.90/31.27 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 30.90/31.27 para( X, Y, Z, T ) }.
% 30.90/31.27 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 30.90/31.27 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 30.90/31.27 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 30.90/31.27 para( X, Y, Z, T ) }.
% 30.90/31.27 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 30.90/31.27 perp( X, Y, Z, T ) }.
% 30.90/31.27 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 30.90/31.27 }.
% 30.90/31.27 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 30.90/31.27 }.
% 30.90/31.27 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 30.90/31.27 }.
% 30.90/31.27 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 30.90/31.27 ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.90/31.27 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.90/31.27 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 30.90/31.27 , T, U, W ) }.
% 30.90/31.27 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 30.90/31.27 T, X, T, Y ) }.
% 30.90/31.27 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 30.90/31.27 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 30.90/31.27 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.90/31.27 , Y, Z, T ) }.
% 30.90/31.27 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 30.90/31.27 perp( X, Y, Y, Z ) }.
% 30.90/31.27 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 30.90/31.27 perp( X, Y, Z, T ) }.
% 30.90/31.27 (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 30.90/31.27 coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.90/31.27 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 30.90/31.27 alpha1( X, Y, Z ) }.
% 30.90/31.27 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 30.90/31.27 , Z, X ) }.
% 30.90/31.27 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 30.90/31.27 , X, X, Y ) }.
% 30.90/31.27 (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol25, skol23 ) }.
% 30.90/31.27 (117) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol22, skol23 ) }.
% 30.90/31.27 (118) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol25, skol20, skol23 ) }.
% 30.90/31.27 (120) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol23, skol22, skol25 ) }.
% 30.90/31.27 (121) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol22, skol24, skol27 ) }.
% 30.90/31.27 (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol23, skol22, skol24 ) }.
% 30.90/31.27 (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 (163) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 30.90/31.27 (164) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 30.90/31.27 (168) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z, T, X ), !
% 30.90/31.27 coll( T, U, X ), ! coll( T, U, Y ) }.
% 30.90/31.27 (185) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 30.90/31.27 coll( Z, X, T ) }.
% 30.90/31.27 (186) {G2,W8,D2,L2,V3,M2} F(185) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 30.90/31.27 (190) {G3,W12,D2,L3,V4,M3} R(186,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 30.90/31.27 coll( X, Z, T ) }.
% 30.90/31.27 (201) {G4,W8,D2,L2,V3,M2} F(190) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 30.90/31.27 (208) {G1,W5,D2,L1,V0,M1} R(3,122) { ! para( skol20, skol23, skol24, skol22
% 30.90/31.27 ) }.
% 30.90/31.27 (209) {G2,W5,D2,L1,V0,M1} R(4,208) { ! para( skol24, skol22, skol20, skol23
% 30.90/31.27 ) }.
% 30.90/31.27 (221) {G3,W10,D2,L2,V2,M2} R(5,209) { ! para( skol24, skol22, X, Y ), !
% 30.90/31.27 para( X, Y, skol20, skol23 ) }.
% 30.90/31.27 (234) {G5,W8,D2,L2,V3,M2} R(201,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 30.90/31.27 (236) {G5,W8,D2,L2,V3,M2} R(201,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 30.90/31.27 (243) {G6,W8,D2,L2,V3,M2} R(234,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 30.90/31.27 (246) {G6,W8,D2,L2,V3,M2} R(234,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 30.90/31.27 (247) {G1,W5,D2,L1,V0,M1} R(6,116) { perp( skol20, skol22, skol23, skol25 )
% 30.90/31.27 }.
% 30.90/31.27 (248) {G1,W5,D2,L1,V0,M1} R(6,117) { perp( skol20, skol25, skol23, skol22 )
% 30.90/31.27 }.
% 30.90/31.27 (249) {G1,W5,D2,L1,V0,M1} R(6,118) { perp( skol22, skol25, skol23, skol20 )
% 30.90/31.27 }.
% 30.90/31.27 (252) {G2,W5,D2,L1,V0,M1} R(7,249) { perp( skol23, skol20, skol22, skol25 )
% 30.90/31.27 }.
% 30.90/31.27 (253) {G2,W5,D2,L1,V0,M1} R(7,248) { perp( skol23, skol22, skol20, skol25 )
% 30.90/31.27 }.
% 30.90/31.27 (254) {G2,W5,D2,L1,V0,M1} R(7,247) { perp( skol23, skol25, skol20, skol22 )
% 30.90/31.27 }.
% 30.90/31.27 (256) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 30.90/31.27 ) }.
% 30.90/31.27 (257) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol25, skol23, skol20, skol22 )
% 30.90/31.27 }.
% 30.90/31.27 (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 30.90/31.27 ), ! perp( X, Y, U, W ) }.
% 30.90/31.27 (274) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 30.90/31.27 ), ! perp( U, W, Z, T ) }.
% 30.90/31.27 (306) {G2,W10,D2,L2,V4,M2} F(274) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 30.90/31.27 ) }.
% 30.90/31.27 (312) {G3,W5,D2,L1,V0,M1} R(252,6) { perp( skol23, skol20, skol25, skol22 )
% 30.90/31.27 }.
% 30.90/31.27 (315) {G4,W5,D2,L1,V0,M1} R(312,7) { perp( skol25, skol22, skol23, skol20 )
% 30.90/31.27 }.
% 30.90/31.27 (318) {G5,W5,D2,L1,V0,M1} R(315,6) { perp( skol25, skol22, skol20, skol23 )
% 30.90/31.27 }.
% 30.90/31.27 (341) {G1,W10,D2,L2,V2,M2} R(9,118) { ! para( X, Y, skol22, skol25 ), perp
% 30.90/31.27 ( X, Y, skol20, skol23 ) }.
% 30.90/31.27 (346) {G6,W5,D2,L1,V0,M1} R(318,7) { perp( skol20, skol23, skol25, skol22 )
% 30.90/31.27 }.
% 30.90/31.27 (353) {G3,W5,D2,L1,V0,M1} R(253,6) { perp( skol23, skol22, skol25, skol20 )
% 30.90/31.27 }.
% 30.90/31.27 (357) {G4,W5,D2,L1,V0,M1} R(353,7) { perp( skol25, skol20, skol23, skol22 )
% 30.90/31.27 }.
% 30.90/31.27 (359) {G5,W10,D2,L2,V2,M2} R(357,8) { ! perp( skol23, skol22, X, Y ), para
% 30.90/31.27 ( skol25, skol20, X, Y ) }.
% 30.90/31.27 (361) {G5,W5,D2,L1,V0,M1} R(357,6) { perp( skol25, skol20, skol22, skol23 )
% 30.90/31.27 }.
% 30.90/31.27 (365) {G6,W5,D2,L1,V0,M1} R(361,7) { perp( skol22, skol23, skol25, skol20 )
% 30.90/31.27 }.
% 30.90/31.27 (367) {G7,W10,D2,L2,V2,M2} R(365,8) { ! perp( skol25, skol20, X, Y ), para
% 30.90/31.27 ( skol22, skol23, X, Y ) }.
% 30.90/31.27 (372) {G3,W5,D2,L1,V0,M1} R(254,6) { perp( skol23, skol25, skol22, skol20 )
% 30.90/31.27 }.
% 30.90/31.27 (376) {G4,W5,D2,L1,V0,M1} R(372,7) { perp( skol22, skol20, skol23, skol25 )
% 30.90/31.27 }.
% 30.90/31.27 (380) {G5,W5,D2,L1,V0,M1} R(376,6) { perp( skol22, skol20, skol25, skol23 )
% 30.90/31.27 }.
% 30.90/31.27 (384) {G6,W5,D2,L1,V0,M1} R(380,7) { perp( skol25, skol23, skol22, skol20 )
% 30.90/31.27 }.
% 30.90/31.27 (405) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 30.90/31.27 , T, Y ) }.
% 30.90/31.27 (406) {G7,W8,D2,L2,V3,M2} R(243,234) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 30.90/31.27 }.
% 30.90/31.27 (411) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 30.90/31.27 , X, T ) }.
% 30.90/31.27 (413) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 30.90/31.27 , T, Z ) }.
% 30.90/31.27 (419) {G7,W8,D2,L2,V3,M2} R(246,246) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 30.90/31.27 }.
% 30.90/31.27 (422) {G8,W12,D2,L3,V4,M3} R(419,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 30.90/31.27 , coll( T, Y, X ) }.
% 30.90/31.27 (423) {G9,W8,D2,L2,V3,M2} F(422) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 30.90/31.27 (424) {G10,W8,D2,L2,V3,M2} R(423,419) { coll( X, X, Y ), ! coll( Y, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 (428) {G10,W8,D2,L2,V3,M2} R(423,406) { coll( X, X, Y ), ! coll( Z, Y, X )
% 30.90/31.27 }.
% 30.90/31.27 (437) {G11,W12,D2,L3,V4,M3} R(424,2) { ! coll( X, Y, Z ), ! coll( Y, Y, T )
% 30.90/31.27 , coll( X, T, Y ) }.
% 30.90/31.27 (444) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 30.90/31.27 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.90/31.27 (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 30.90/31.27 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.90/31.27 (453) {G2,W10,D2,L2,V4,M2} F(444) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 30.90/31.27 , T ) }.
% 30.90/31.27 (476) {G6,W12,D2,L3,V4,M3} R(236,2) { ! coll( X, Y, Z ), ! coll( X, X, T )
% 30.90/31.27 , coll( Z, T, X ) }.
% 30.90/31.27 (595) {G2,W9,D2,L2,V3,M2} R(152,7) { alpha1( X, X, Y ), ! perp( X, Y, X, Z
% 30.90/31.27 ) }.
% 30.90/31.27 (610) {G3,W9,D2,L2,V3,M2} R(595,6) { alpha1( X, X, Y ), ! perp( X, Y, Z, X
% 30.90/31.27 ) }.
% 30.90/31.27 (612) {G4,W9,D2,L2,V3,M2} R(610,7) { alpha1( X, X, Y ), ! perp( Z, X, X, Y
% 30.90/31.27 ) }.
% 30.90/31.27 (878) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 30.90/31.27 X, Y, U, W, Z, T ) }.
% 30.90/31.27 (936) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 30.90/31.27 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.90/31.27 (962) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.90/31.27 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.90/31.27 (994) {G2,W15,D2,L3,V3,M3} F(962) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 30.90/31.27 , Z, Y ), cong( X, Y, X, Y ) }.
% 30.90/31.27 (1318) {G1,W9,D2,L2,V0,M2} R(53,120) { ! coll( skol26, skol23, skol25 ),
% 30.90/31.27 perp( skol23, skol22, skol22, skol25 ) }.
% 30.90/31.27 (3386) {G7,W7,D3,L1,V1,M1} R(94,257);r(346) { coll( skol10( X, skol25,
% 30.90/31.27 skol22 ), skol22, skol25 ) }.
% 30.90/31.27 (3393) {G3,W7,D3,L1,V1,M1} R(94,254);r(248) { coll( skol10( X, skol23,
% 30.90/31.27 skol22 ), skol22, skol23 ) }.
% 30.90/31.27 (3582) {G7,W4,D2,L1,V0,M1} R(96,384);r(365) { alpha1( skol25, skol22,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 (3673) {G8,W7,D3,L1,V1,M1} R(3582,97) { coll( skol11( skol25, X, skol20 ),
% 30.90/31.27 skol20, skol25 ) }.
% 30.90/31.27 (3913) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol22, skol26 ),
% 30.90/31.27 skol22, skol22, skol26 ) }.
% 30.90/31.27 (6194) {G11,W4,D2,L1,V0,M1} R(3673,428) { coll( skol25, skol25, skol20 )
% 30.90/31.27 }.
% 30.90/31.27 (7276) {G12,W8,D2,L2,V2,M2} R(168,6194);f { coll( skol20, X, skol25 ), !
% 30.90/31.27 coll( X, Y, skol25 ) }.
% 30.90/31.27 (9721) {G8,W7,D3,L1,V1,M1} R(3386,1) { coll( skol22, skol10( X, skol25,
% 30.90/31.27 skol22 ), skol25 ) }.
% 30.90/31.27 (12325) {G10,W7,D3,L1,V1,M1} R(3393,423) { coll( skol23, skol22, skol10( X
% 30.90/31.27 , skol23, skol22 ) ) }.
% 30.90/31.27 (15628) {G2,W7,D3,L1,V0,M1} R(3913,256) { perp( skol22, skol26, skol22,
% 30.90/31.27 skol12( skol22, skol26 ) ) }.
% 30.90/31.27 (15638) {G5,W4,D2,L1,V0,M1} R(3913,612) { alpha1( skol22, skol22, skol26 )
% 30.90/31.27 }.
% 30.90/31.27 (15645) {G6,W7,D3,L1,V1,M1} R(15638,97) { coll( skol11( skol22, X, skol26 )
% 30.90/31.27 , skol26, skol22 ) }.
% 30.90/31.27 (15694) {G11,W4,D2,L1,V0,M1} R(15645,428) { coll( skol22, skol22, skol26 )
% 30.90/31.27 }.
% 30.90/31.27 (16664) {G3,W5,D2,L1,V0,M1} R(306,15628) { para( skol22, skol26, skol22,
% 30.90/31.27 skol26 ) }.
% 30.90/31.27 (17380) {G13,W4,D2,L1,V0,M1} R(7276,9721) { coll( skol20, skol22, skol25 )
% 30.90/31.27 }.
% 30.90/31.27 (17815) {G14,W4,D2,L1,V0,M1} R(17380,423) { coll( skol25, skol22, skol20 )
% 30.90/31.27 }.
% 30.90/31.27 (31095) {G12,W8,D2,L2,V2,M2} R(437,15694) { ! coll( X, skol22, Y ), coll( X
% 30.90/31.27 , skol26, skol22 ) }.
% 30.90/31.27 (31276) {G15,W4,D2,L1,V0,M1} R(31095,17815) { coll( skol25, skol26, skol22
% 30.90/31.27 ) }.
% 30.90/31.27 (31281) {G13,W4,D2,L1,V0,M1} R(31095,12325) { coll( skol23, skol26, skol22
% 30.90/31.27 ) }.
% 30.90/31.27 (33019) {G16,W4,D2,L1,V0,M1} R(31276,424) { coll( skol26, skol26, skol25 )
% 30.90/31.27 }.
% 30.90/31.27 (33581) {G14,W4,D2,L1,V0,M1} R(31281,164) { coll( skol26, skol22, skol23 )
% 30.90/31.27 }.
% 30.90/31.27 (38924) {G17,W8,D2,L2,V2,M2} R(476,33019) { ! coll( skol26, X, Y ), coll( Y
% 30.90/31.27 , skol25, skol26 ) }.
% 30.90/31.27 (39141) {G18,W4,D2,L1,V0,M1} R(38924,33581) { coll( skol23, skol25, skol26
% 30.90/31.27 ) }.
% 30.90/31.27 (39244) {G19,W4,D2,L1,V0,M1} R(39141,163) { coll( skol26, skol23, skol25 )
% 30.90/31.27 }.
% 30.90/31.27 (40651) {G20,W5,D2,L1,V0,M1} S(1318);r(39244) { perp( skol23, skol22,
% 30.90/31.27 skol22, skol25 ) }.
% 30.90/31.27 (40751) {G21,W5,D2,L1,V0,M1} R(40651,359) { para( skol25, skol20, skol22,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 (40805) {G22,W5,D2,L1,V0,M1} R(40751,341) { perp( skol25, skol20, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 (40843) {G23,W5,D2,L1,V0,M1} R(40805,367) { para( skol22, skol23, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 (40920) {G24,W5,D2,L1,V0,M1} R(40843,221) { ! para( skol24, skol22, skol22
% 30.90/31.27 , skol23 ) }.
% 30.90/31.27 (65759) {G4,W9,D2,L1,V2,M1} R(878,16664) { eqangle( X, Y, skol22, skol26, X
% 30.90/31.27 , Y, skol22, skol26 ) }.
% 30.90/31.27 (69969) {G12,W5,D2,L1,V1,M1} R(936,15694);r(65759) { cyclic( X, skol26,
% 30.90/31.27 skol22, skol22 ) }.
% 30.90/31.27 (70042) {G13,W5,D2,L1,V1,M1} R(69969,413) { cyclic( skol26, X, skol22,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 (70054) {G14,W5,D2,L1,V1,M1} R(70042,453) { cyclic( skol22, X, skol22,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 (70076) {G15,W5,D2,L1,V1,M1} R(70054,411) { cyclic( skol22, skol22, X,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 (70077) {G15,W5,D2,L1,V1,M1} R(70054,405) { cyclic( skol22, skol22, skol22
% 30.90/31.27 , X ) }.
% 30.90/31.27 (70082) {G16,W5,D2,L1,V2,M1} R(70076,449);r(70077) { cyclic( skol22, skol22
% 30.90/31.27 , X, Y ) }.
% 30.90/31.27 (70207) {G17,W5,D2,L1,V3,M1} R(70082,449);r(70082) { cyclic( skol22, X, Y,
% 30.90/31.27 Z ) }.
% 30.90/31.27 (70226) {G18,W5,D2,L1,V4,M1} R(70207,449);r(70207) { cyclic( X, Y, Z, T )
% 30.90/31.27 }.
% 30.90/31.27 (73220) {G19,W5,D2,L1,V2,M1} S(994);r(70226);r(70226) { cong( X, Y, X, Y )
% 30.90/31.27 }.
% 30.90/31.27 (73241) {G20,W5,D2,L1,V3,M1} R(73220,56);r(73220) { perp( X, X, Z, Y ) }.
% 30.90/31.27 (73288) {G21,W5,D2,L1,V4,M1} R(73241,273);r(73241) { para( X, Y, Z, T ) }.
% 30.90/31.27 (73420) {G25,W0,D0,L0,V0,M0} R(73288,40920) { }.
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 % SZS output end Refutation
% 30.90/31.27 found a proof!
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Unprocessed initial clauses:
% 30.90/31.27
% 30.90/31.27 (73422) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.90/31.27 (73423) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.90/31.27 (73424) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 30.90/31.27 ( Y, Z, X ) }.
% 30.90/31.27 (73425) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 30.90/31.27 }.
% 30.90/31.27 (73426) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 30.90/31.27 }.
% 30.90/31.27 (73427) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 30.90/31.27 , para( X, Y, Z, T ) }.
% 30.90/31.27 (73428) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 30.90/31.27 }.
% 30.90/31.27 (73429) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 30.90/31.27 }.
% 30.90/31.27 (73430) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.90/31.27 , para( X, Y, Z, T ) }.
% 30.90/31.27 (73431) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.90/31.27 , perp( X, Y, Z, T ) }.
% 30.90/31.27 (73432) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 30.90/31.27 (73433) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 30.90/31.27 , circle( T, X, Y, Z ) }.
% 30.90/31.27 (73434) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 30.90/31.27 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 (73435) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 30.90/31.27 ) }.
% 30.90/31.27 (73436) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 30.90/31.27 ) }.
% 30.90/31.27 (73437) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 30.90/31.27 ) }.
% 30.90/31.27 (73438) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 30.90/31.27 T ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 (73439) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.90/31.27 (73440) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.90/31.27 (73441) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.90/31.27 (73442) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.90/31.27 (73443) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.90/31.27 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 30.90/31.27 V1 ) }.
% 30.90/31.27 (73444) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 30.90/31.27 }.
% 30.90/31.27 (73445) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 30.90/31.27 }.
% 30.90/31.27 (73446) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 30.90/31.27 , cong( X, Y, Z, T ) }.
% 30.90/31.27 (73447) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.90/31.27 (73448) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 30.90/31.27 (73449) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 30.90/31.27 (73450) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.90/31.27 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.90/31.27 (73451) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.90/31.27 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 30.90/31.27 V1 ) }.
% 30.90/31.27 (73452) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 30.90/31.27 , Z, T, U, W ) }.
% 30.90/31.27 (73453) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 30.90/31.27 , Z, T, U, W ) }.
% 30.90/31.27 (73454) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 30.90/31.27 , Z, T, U, W ) }.
% 30.90/31.27 (73455) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 30.90/31.27 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 30.90/31.27 (73456) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 30.90/31.27 , Z, T, U, W ) }.
% 30.90/31.27 (73457) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 30.90/31.27 , Z, T, U, W ) }.
% 30.90/31.27 (73458) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 30.90/31.27 , Z, T, U, W ) }.
% 30.90/31.27 (73459) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 30.90/31.27 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 30.90/31.27 (73460) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 30.90/31.27 X, Y, Z, T ) }.
% 30.90/31.27 (73461) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 30.90/31.27 Z, T, U, W ) }.
% 30.90/31.27 (73462) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 30.90/31.27 , T, X, T, Y ) }.
% 30.90/31.27 (73463) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 30.90/31.27 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 (73464) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 30.90/31.27 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 (73465) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 30.90/31.27 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.90/31.27 , Y, Z, T ) }.
% 30.90/31.27 (73466) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 30.90/31.27 ( Z, T, X, Y ) }.
% 30.90/31.27 (73467) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 30.90/31.27 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 30.90/31.27 (73468) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 30.90/31.27 X, Y, Z, Y ) }.
% 30.90/31.27 (73469) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 30.90/31.27 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 30.90/31.27 (73470) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 30.90/31.27 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 30.90/31.27 (73471) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 30.90/31.27 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 30.90/31.27 (73472) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 30.90/31.27 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 30.90/31.27 (73473) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 30.90/31.27 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 30.90/31.27 (73474) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 30.90/31.27 cong( X, Z, Y, Z ) }.
% 30.90/31.27 (73475) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 30.90/31.27 perp( X, Y, Y, Z ) }.
% 30.90/31.27 (73476) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.90/31.27 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 30.90/31.27 (73477) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 30.90/31.27 cong( Z, X, Z, Y ) }.
% 30.90/31.27 (73478) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 30.90/31.27 , perp( X, Y, Z, T ) }.
% 30.90/31.27 (73479) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 30.90/31.27 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.90/31.27 (73480) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 30.90/31.27 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 30.90/31.27 , W ) }.
% 30.90/31.27 (73481) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 30.90/31.27 , X, Z, T, U, T, W ) }.
% 30.90/31.27 (73482) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 30.90/31.27 , Y, Z, T, U, U, W ) }.
% 30.90/31.27 (73483) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 30.90/31.27 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 30.90/31.27 (73484) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 30.90/31.27 , T ) }.
% 30.90/31.27 (73485) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 30.90/31.27 ( X, Z, Y, T ) }.
% 30.90/31.27 (73486) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 30.90/31.27 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 30.90/31.27 (73487) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 30.90/31.27 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 30.90/31.27 (73488) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 30.90/31.27 (73489) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 30.90/31.27 midp( X, Y, Z ) }.
% 30.90/31.27 (73490) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 30.90/31.27 (73491) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 30.90/31.27 (73492) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 30.90/31.27 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 30.90/31.27 (73493) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 30.90/31.27 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 30.90/31.27 (73494) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 30.90/31.27 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 (73495) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.90/31.27 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 30.90/31.27 (73496) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.90/31.27 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 30.90/31.27 (73497) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 30.90/31.27 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 30.90/31.27 (73498) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.90/31.27 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 30.90/31.27 (73499) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.90/31.27 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 30.90/31.27 (73500) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.90/31.27 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 30.90/31.27 (73501) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.90/31.27 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 30.90/31.27 (73502) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.90/31.27 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 30.90/31.27 (73503) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.90/31.27 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 30.90/31.27 (73504) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.90/31.27 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 30.90/31.27 (73505) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.90/31.27 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 30.90/31.27 (73506) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.90/31.27 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 30.90/31.27 (73507) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.90/31.27 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 30.90/31.27 , T ) ) }.
% 30.90/31.27 (73508) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 30.90/31.27 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 30.90/31.27 (73509) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.90/31.27 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 30.90/31.27 (73510) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.90/31.27 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 30.90/31.27 (73511) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 30.90/31.27 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 30.90/31.27 (73512) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.90/31.27 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 30.90/31.27 ) }.
% 30.90/31.27 (73513) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.90/31.27 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 30.90/31.27 }.
% 30.90/31.27 (73514) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.90/31.27 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 30.90/31.27 (73515) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.90/31.27 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 30.90/31.27 (73516) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.90/31.27 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 30.90/31.27 (73517) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.90/31.27 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.90/31.27 (73518) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.90/31.27 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 30.90/31.27 (73519) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.90/31.27 , alpha1( X, Y, Z ) }.
% 30.90/31.27 (73520) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 30.90/31.27 ), Z, X ) }.
% 30.90/31.27 (73521) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 30.90/31.27 , Z ), Z, X ) }.
% 30.90/31.27 (73522) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 30.90/31.27 alpha1( X, Y, Z ) }.
% 30.90/31.27 (73523) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 30.90/31.27 ), X, X, Y ) }.
% 30.90/31.27 (73524) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.90/31.27 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 30.90/31.27 ) ) }.
% 30.90/31.27 (73525) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.90/31.27 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 30.90/31.27 (73526) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.90/31.27 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 30.90/31.27 }.
% 30.90/31.27 (73527) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 30.90/31.27 (73528) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 30.90/31.27 }.
% 30.90/31.27 (73529) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 30.90/31.27 alpha2( X, Y, Z, T ) }.
% 30.90/31.27 (73530) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.90/31.27 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 30.90/31.27 (73531) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 30.90/31.27 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 30.90/31.27 (73532) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.90/31.27 coll( skol16( W, Y, Z ), Y, Z ) }.
% 30.90/31.27 (73533) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.90/31.27 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 30.90/31.27 (73534) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 30.90/31.27 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 30.90/31.27 (73535) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.90/31.27 , coll( X, Y, skol18( X, Y ) ) }.
% 30.90/31.27 (73536) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.90/31.27 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 30.90/31.27 (73537) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.90/31.27 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 30.90/31.27 }.
% 30.90/31.27 (73538) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.90/31.27 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 30.90/31.27 }.
% 30.90/31.27 (73539) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol25, skol23 ) }.
% 30.90/31.27 (73540) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol22, skol23 ) }.
% 30.90/31.27 (73541) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol25, skol20, skol23 ) }.
% 30.90/31.27 (73542) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol23, skol23, skol24 ) }.
% 30.90/31.27 (73543) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol23, skol22, skol25 ) }.
% 30.90/31.27 (73544) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol22, skol24, skol27 ) }.
% 30.90/31.27 (73545) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol23, skol22, skol24 ) }.
% 30.90/31.27
% 30.90/31.27
% 30.90/31.27 Total Proof:
% 30.90/31.27
% 30.90/31.27 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 parent0: (73422) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 parent0: (73423) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 30.90/31.27 Z ), coll( Y, Z, X ) }.
% 30.90/31.27 parent0: (73424) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.90/31.27 ), coll( Y, Z, X ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 30.90/31.27 , T, Z ) }.
% 30.90/31.27 parent0: (73425) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 30.90/31.27 , X, Y ) }.
% 30.90/31.27 parent0: (73426) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 30.90/31.27 W, Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 parent0: (73427) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 30.90/31.27 , Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 W := W
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 30.90/31.27 , T, Z ) }.
% 30.90/31.27 parent0: (73428) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 30.90/31.27 , X, Y ) }.
% 30.90/31.27 parent0: (73429) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 30.90/31.27 W, Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 parent0: (73430) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 30.90/31.27 , Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 W := W
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 30.90/31.27 W, Z, T ), perp( X, Y, Z, T ) }.
% 30.90/31.27 parent0: (73431) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 30.90/31.27 , Z, T ), perp( X, Y, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 W := W
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.90/31.27 X, Y, T, Z ) }.
% 30.90/31.27 parent0: (73435) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.90/31.27 , Y, T, Z ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.90/31.27 X, Z, Y, T ) }.
% 30.90/31.27 parent0: (73436) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.90/31.27 , Z, Y, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.90/31.27 Y, X, Z, T ) }.
% 30.90/31.27 parent0: (73437) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.90/31.27 , X, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.90/31.27 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 parent0: (73438) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 30.90/31.27 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.90/31.27 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.90/31.27 parent0: (73440) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.90/31.27 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 W := W
% 30.90/31.27 V0 := V0
% 30.90/31.27 V1 := V1
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.90/31.27 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.90/31.27 parent0: (73441) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.90/31.27 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 W := W
% 30.90/31.27 V0 := V0
% 30.90/31.27 V1 := V1
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.90/31.27 , Y, U, W, Z, T, U, W ) }.
% 30.90/31.27 parent0: (73461) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 30.90/31.27 Y, U, W, Z, T, U, W ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 W := W
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 30.90/31.27 ( Z, X, Z, Y, T, X, T, Y ) }.
% 30.90/31.27 parent0: (73462) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 30.90/31.27 , X, Z, Y, T, X, T, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 30.90/31.27 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 parent0: (73464) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.90/31.27 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.90/31.27 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.90/31.27 ), cong( X, Y, Z, T ) }.
% 30.90/31.27 parent0: (73465) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 30.90/31.27 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 30.90/31.27 , cong( X, Y, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 W := W
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 3 ==> 3
% 30.90/31.27 4 ==> 4
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 30.90/31.27 T, X, Z ), perp( X, Y, Y, Z ) }.
% 30.90/31.27 parent0: (73475) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 30.90/31.27 , X, Z ), perp( X, Y, Y, Z ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 30.90/31.27 , T, Y, T ), perp( X, Y, Z, T ) }.
% 30.90/31.27 parent0: (73478) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 30.90/31.27 , Y, T ), perp( X, Y, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 30.90/31.27 , T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.90/31.27 parent0: (73517) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 30.90/31.27 , X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 30.90/31.27 , T, X, Z ), alpha1( X, Y, Z ) }.
% 30.90/31.27 parent0: (73519) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 30.90/31.27 , X, Z ), alpha1( X, Y, Z ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 30.90/31.27 skol11( X, T, Z ), Z, X ) }.
% 30.90/31.27 parent0: (73520) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 30.90/31.27 ( X, T, Z ), Z, X ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 30.90/31.27 skol12( X, Y ), X, X, Y ) }.
% 30.90/31.27 parent0: (73523) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 30.90/31.27 skol12( X, Y ), X, X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol25,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 parent0: (73539) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol25,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (117) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol22,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 parent0: (73540) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol22,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol25, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 parent0: (73541) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol25, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol23, skol22,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 parent0: (73543) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol23, skol22,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol22, skol24,
% 30.90/31.27 skol27 ) }.
% 30.90/31.27 parent0: (73544) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol22, skol24,
% 30.90/31.27 skol27 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol23, skol22,
% 30.90/31.27 skol24 ) }.
% 30.90/31.27 parent0: (73545) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol23, skol22,
% 30.90/31.27 skol24 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 factor: (74169) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 30.90/31.27 Z ) }.
% 30.90/31.27 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 30.90/31.27 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := X
% 30.90/31.27 Z := Z
% 30.90/31.27 T := Y
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 30.90/31.27 ( X, X, Z ) }.
% 30.90/31.27 parent0: (74169) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 30.90/31.27 , Z ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74170) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 30.90/31.27 ) }.
% 30.90/31.27 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Z
% 30.90/31.27 Z := Y
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (163) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 30.90/31.27 , Z, X ) }.
% 30.90/31.27 parent0: (74170) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := Y
% 30.90/31.27 Y := X
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74172) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 30.90/31.27 ) }.
% 30.90/31.27 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := Y
% 30.90/31.27 Y := X
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 30.90/31.27 , Z, X ) }.
% 30.90/31.27 parent0: (74172) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := Y
% 30.90/31.27 Y := X
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 1
% 30.90/31.27 1 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74174) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, Z ), coll( Z, T,
% 30.90/31.27 X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 30.90/31.27 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.90/31.27 ), coll( Y, Z, X ) }.
% 30.90/31.27 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.90/31.27 ), coll( Y, Z, X ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Z
% 30.90/31.27 Z := T
% 30.90/31.27 T := Y
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := T
% 30.90/31.27 Y := X
% 30.90/31.27 Z := Y
% 30.90/31.27 T := U
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (168) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z
% 30.90/31.27 , T, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 30.90/31.27 parent0: (74174) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, Z ), coll( Z, T, X )
% 30.90/31.27 , ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 3 ==> 3
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74184) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 30.90/31.27 X ), ! coll( Z, T, Y ) }.
% 30.90/31.27 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.90/31.27 ), coll( Y, Z, X ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := Z
% 30.90/31.27 Y := X
% 30.90/31.27 Z := Y
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (185) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 30.90/31.27 ( X, Y, T ), coll( Z, X, T ) }.
% 30.90/31.27 parent0: (74184) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 30.90/31.27 , ! coll( Z, T, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := Z
% 30.90/31.27 Y := T
% 30.90/31.27 Z := X
% 30.90/31.27 T := Y
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 2
% 30.90/31.27 1 ==> 0
% 30.90/31.27 2 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 factor: (74186) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 parent0[0, 1]: (185) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 30.90/31.27 coll( X, Y, T ), coll( Z, X, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := Z
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (186) {G2,W8,D2,L2,V3,M2} F(185) { ! coll( X, Y, Z ), coll( Z
% 30.90/31.27 , X, Z ) }.
% 30.90/31.27 parent0: (74186) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74187) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 30.90/31.27 X ), ! coll( Z, T, Y ) }.
% 30.90/31.27 parent0[0]: (186) {G2,W8,D2,L2,V3,M2} F(185) { ! coll( X, Y, Z ), coll( Z,
% 30.90/31.27 X, Z ) }.
% 30.90/31.27 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.90/31.27 ), coll( Y, Z, X ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := Z
% 30.90/31.27 Y := X
% 30.90/31.27 Z := Y
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (190) {G3,W12,D2,L3,V4,M3} R(186,2) { coll( X, Y, X ), ! coll
% 30.90/31.27 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.90/31.27 parent0: (74187) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 30.90/31.27 , ! coll( Z, T, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := Y
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := X
% 30.90/31.27 T := Z
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 factor: (74189) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 parent0[1, 2]: (190) {G3,W12,D2,L3,V4,M3} R(186,2) { coll( X, Y, X ), !
% 30.90/31.27 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := Y
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (201) {G4,W8,D2,L2,V3,M2} F(190) { coll( X, Y, X ), ! coll( X
% 30.90/31.27 , Z, Y ) }.
% 30.90/31.27 parent0: (74189) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74190) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol23, skol24,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol23, skol22,
% 30.90/31.27 skol24 ) }.
% 30.90/31.27 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := skol20
% 30.90/31.27 Y := skol23
% 30.90/31.27 Z := skol24
% 30.90/31.27 T := skol22
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (208) {G1,W5,D2,L1,V0,M1} R(3,122) { ! para( skol20, skol23,
% 30.90/31.27 skol24, skol22 ) }.
% 30.90/31.27 parent0: (74190) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol23, skol24,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74191) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol22, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 parent0[0]: (208) {G1,W5,D2,L1,V0,M1} R(3,122) { ! para( skol20, skol23,
% 30.90/31.27 skol24, skol22 ) }.
% 30.90/31.27 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := skol24
% 30.90/31.27 Y := skol22
% 30.90/31.27 Z := skol20
% 30.90/31.27 T := skol23
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (209) {G2,W5,D2,L1,V0,M1} R(4,208) { ! para( skol24, skol22,
% 30.90/31.27 skol20, skol23 ) }.
% 30.90/31.27 parent0: (74191) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol22, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74192) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol22, X, Y )
% 30.90/31.27 , ! para( X, Y, skol20, skol23 ) }.
% 30.90/31.27 parent0[0]: (209) {G2,W5,D2,L1,V0,M1} R(4,208) { ! para( skol24, skol22,
% 30.90/31.27 skol20, skol23 ) }.
% 30.90/31.27 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 30.90/31.27 , Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := skol24
% 30.90/31.27 Y := skol22
% 30.90/31.27 Z := skol20
% 30.90/31.27 T := skol23
% 30.90/31.27 U := X
% 30.90/31.27 W := Y
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (221) {G3,W10,D2,L2,V2,M2} R(5,209) { ! para( skol24, skol22,
% 30.90/31.27 X, Y ), ! para( X, Y, skol20, skol23 ) }.
% 30.90/31.27 parent0: (74192) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol22, X, Y ), !
% 30.90/31.27 para( X, Y, skol20, skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74194) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 30.90/31.27 ) }.
% 30.90/31.27 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 parent1[0]: (201) {G4,W8,D2,L2,V3,M2} F(190) { coll( X, Y, X ), ! coll( X,
% 30.90/31.27 Z, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := X
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (234) {G5,W8,D2,L2,V3,M2} R(201,1) { ! coll( X, Y, Z ), coll(
% 30.90/31.27 Z, X, X ) }.
% 30.90/31.27 parent0: (74194) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Z
% 30.90/31.27 Z := Y
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 1
% 30.90/31.27 1 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74196) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 30.90/31.27 ) }.
% 30.90/31.27 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 parent1[0]: (201) {G4,W8,D2,L2,V3,M2} F(190) { coll( X, Y, X ), ! coll( X,
% 30.90/31.27 Z, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := X
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (236) {G5,W8,D2,L2,V3,M2} R(201,0) { ! coll( X, Y, Z ), coll(
% 30.90/31.27 X, X, Z ) }.
% 30.90/31.27 parent0: (74196) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Z
% 30.90/31.27 Z := Y
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 1
% 30.90/31.27 1 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74197) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 30.90/31.27 ) }.
% 30.90/31.27 parent0[0]: (234) {G5,W8,D2,L2,V3,M2} R(201,1) { ! coll( X, Y, Z ), coll( Z
% 30.90/31.27 , X, X ) }.
% 30.90/31.27 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := Y
% 30.90/31.27 Y := X
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (243) {G6,W8,D2,L2,V3,M2} R(234,1) { coll( X, Y, Y ), ! coll(
% 30.90/31.27 Z, Y, X ) }.
% 30.90/31.27 parent0: (74197) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := Y
% 30.90/31.27 Y := Z
% 30.90/31.27 Z := X
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74198) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 30.90/31.27 ) }.
% 30.90/31.27 parent0[0]: (234) {G5,W8,D2,L2,V3,M2} R(201,1) { ! coll( X, Y, Z ), coll( Z
% 30.90/31.27 , X, X ) }.
% 30.90/31.27 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Z
% 30.90/31.27 Z := Y
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (246) {G6,W8,D2,L2,V3,M2} R(234,0) { coll( X, Y, Y ), ! coll(
% 30.90/31.27 Y, X, Z ) }.
% 30.90/31.27 parent0: (74198) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 30.90/31.27 }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := Y
% 30.90/31.27 Y := Z
% 30.90/31.27 Z := X
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74199) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol23,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol25,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol20
% 30.90/31.27 Y := skol22
% 30.90/31.27 Z := skol25
% 30.90/31.27 T := skol23
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (247) {G1,W5,D2,L1,V0,M1} R(6,116) { perp( skol20, skol22,
% 30.90/31.27 skol23, skol25 ) }.
% 30.90/31.27 parent0: (74199) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol23,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74200) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol23,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[0]: (117) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol22,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol20
% 30.90/31.27 Y := skol25
% 30.90/31.27 Z := skol22
% 30.90/31.27 T := skol23
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (248) {G1,W5,D2,L1,V0,M1} R(6,117) { perp( skol20, skol25,
% 30.90/31.27 skol23, skol22 ) }.
% 30.90/31.27 parent0: (74200) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol23,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74201) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol25, skol23,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol25, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol22
% 30.90/31.27 Y := skol25
% 30.90/31.27 Z := skol20
% 30.90/31.27 T := skol23
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (249) {G1,W5,D2,L1,V0,M1} R(6,118) { perp( skol22, skol25,
% 30.90/31.27 skol23, skol20 ) }.
% 30.90/31.27 parent0: (74201) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol25, skol23,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74202) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol22,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (249) {G1,W5,D2,L1,V0,M1} R(6,118) { perp( skol22, skol25,
% 30.90/31.27 skol23, skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol22
% 30.90/31.27 Y := skol25
% 30.90/31.27 Z := skol23
% 30.90/31.27 T := skol20
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (252) {G2,W5,D2,L1,V0,M1} R(7,249) { perp( skol23, skol20,
% 30.90/31.27 skol22, skol25 ) }.
% 30.90/31.27 parent0: (74202) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol22,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74203) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol20,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (248) {G1,W5,D2,L1,V0,M1} R(6,117) { perp( skol20, skol25,
% 30.90/31.27 skol23, skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol20
% 30.90/31.27 Y := skol25
% 30.90/31.27 Z := skol23
% 30.90/31.27 T := skol22
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (253) {G2,W5,D2,L1,V0,M1} R(7,248) { perp( skol23, skol22,
% 30.90/31.27 skol20, skol25 ) }.
% 30.90/31.27 parent0: (74203) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol20,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74204) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol20,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (247) {G1,W5,D2,L1,V0,M1} R(6,116) { perp( skol20, skol22,
% 30.90/31.27 skol23, skol25 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol20
% 30.90/31.27 Y := skol22
% 30.90/31.27 Z := skol23
% 30.90/31.27 T := skol25
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (254) {G2,W5,D2,L1,V0,M1} R(7,247) { perp( skol23, skol25,
% 30.90/31.27 skol20, skol22 ) }.
% 30.90/31.27 parent0: (74204) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol20,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74206) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 30.90/31.27 T, X, Y ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := Z
% 30.90/31.27 Y := T
% 30.90/31.27 Z := X
% 30.90/31.27 T := Y
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (256) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 30.90/31.27 ( Z, T, Y, X ) }.
% 30.90/31.27 parent0: (74206) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := Z
% 30.90/31.27 Y := T
% 30.90/31.27 Z := X
% 30.90/31.27 T := Y
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 1
% 30.90/31.27 1 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74207) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol23, skol20,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol25,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol20
% 30.90/31.27 Y := skol22
% 30.90/31.27 Z := skol25
% 30.90/31.27 T := skol23
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (257) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol25, skol23,
% 30.90/31.27 skol20, skol22 ) }.
% 30.90/31.27 parent0: (74207) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol23, skol20,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74208) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 30.90/31.27 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 30.90/31.27 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.90/31.27 , Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := U
% 30.90/31.27 T := W
% 30.90/31.27 U := Z
% 30.90/31.27 W := T
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := Z
% 30.90/31.27 Y := T
% 30.90/31.27 Z := X
% 30.90/31.27 T := Y
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.90/31.27 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.90/31.27 parent0: (74208) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 30.90/31.27 U, W ), ! perp( Z, T, X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := U
% 30.90/31.27 Y := W
% 30.90/31.27 Z := X
% 30.90/31.27 T := Y
% 30.90/31.27 U := Z
% 30.90/31.27 W := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74213) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 30.90/31.27 Y, U, W ), ! perp( U, W, Z, T ) }.
% 30.90/31.27 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.90/31.27 , Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := U
% 30.90/31.27 T := W
% 30.90/31.27 U := Z
% 30.90/31.27 W := T
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := U
% 30.90/31.27 Y := W
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (274) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.90/31.27 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 30.90/31.27 parent0: (74213) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 30.90/31.27 U, W ), ! perp( U, W, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := U
% 30.90/31.27 W := W
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 2 ==> 2
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 factor: (74216) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 30.90/31.27 , Y ) }.
% 30.90/31.27 parent0[0, 2]: (274) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 30.90/31.27 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 U := X
% 30.90/31.27 W := Y
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (306) {G2,W10,D2,L2,V4,M2} F(274) { ! perp( X, Y, Z, T ), para
% 30.90/31.27 ( X, Y, X, Y ) }.
% 30.90/31.27 parent0: (74216) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74217) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol25,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[0]: (252) {G2,W5,D2,L1,V0,M1} R(7,249) { perp( skol23, skol20,
% 30.90/31.27 skol22, skol25 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol23
% 30.90/31.27 Y := skol20
% 30.90/31.27 Z := skol22
% 30.90/31.27 T := skol25
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (312) {G3,W5,D2,L1,V0,M1} R(252,6) { perp( skol23, skol20,
% 30.90/31.27 skol25, skol22 ) }.
% 30.90/31.27 parent0: (74217) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol25,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74218) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol22, skol23,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (312) {G3,W5,D2,L1,V0,M1} R(252,6) { perp( skol23, skol20,
% 30.90/31.27 skol25, skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol23
% 30.90/31.27 Y := skol20
% 30.90/31.27 Z := skol25
% 30.90/31.27 T := skol22
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (315) {G4,W5,D2,L1,V0,M1} R(312,7) { perp( skol25, skol22,
% 30.90/31.27 skol23, skol20 ) }.
% 30.90/31.27 parent0: (74218) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol22, skol23,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74219) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol22, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[0]: (315) {G4,W5,D2,L1,V0,M1} R(312,7) { perp( skol25, skol22,
% 30.90/31.27 skol23, skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol25
% 30.90/31.27 Y := skol22
% 30.90/31.27 Z := skol23
% 30.90/31.27 T := skol20
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (318) {G5,W5,D2,L1,V0,M1} R(315,6) { perp( skol25, skol22,
% 30.90/31.27 skol20, skol23 ) }.
% 30.90/31.27 parent0: (74219) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol22, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74220) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol22, skol25 )
% 30.90/31.27 , perp( X, Y, skol20, skol23 ) }.
% 30.90/31.27 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 30.90/31.27 , Z, T ), perp( X, Y, Z, T ) }.
% 30.90/31.27 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol25, skol20,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := skol20
% 30.90/31.27 T := skol23
% 30.90/31.27 U := skol22
% 30.90/31.27 W := skol25
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (341) {G1,W10,D2,L2,V2,M2} R(9,118) { ! para( X, Y, skol22,
% 30.90/31.27 skol25 ), perp( X, Y, skol20, skol23 ) }.
% 30.90/31.27 parent0: (74220) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol22, skol25 ),
% 30.90/31.27 perp( X, Y, skol20, skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74221) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol23, skol25,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (318) {G5,W5,D2,L1,V0,M1} R(315,6) { perp( skol25, skol22,
% 30.90/31.27 skol20, skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol25
% 30.90/31.27 Y := skol22
% 30.90/31.27 Z := skol20
% 30.90/31.27 T := skol23
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (346) {G6,W5,D2,L1,V0,M1} R(318,7) { perp( skol20, skol23,
% 30.90/31.27 skol25, skol22 ) }.
% 30.90/31.27 parent0: (74221) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol23, skol25,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74222) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol25,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[0]: (253) {G2,W5,D2,L1,V0,M1} R(7,248) { perp( skol23, skol22,
% 30.90/31.27 skol20, skol25 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol23
% 30.90/31.27 Y := skol22
% 30.90/31.27 Z := skol20
% 30.90/31.27 T := skol25
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (353) {G3,W5,D2,L1,V0,M1} R(253,6) { perp( skol23, skol22,
% 30.90/31.27 skol25, skol20 ) }.
% 30.90/31.27 parent0: (74222) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol25,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74223) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol23,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (353) {G3,W5,D2,L1,V0,M1} R(253,6) { perp( skol23, skol22,
% 30.90/31.27 skol25, skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol23
% 30.90/31.27 Y := skol22
% 30.90/31.27 Z := skol25
% 30.90/31.27 T := skol20
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (357) {G4,W5,D2,L1,V0,M1} R(353,7) { perp( skol25, skol20,
% 30.90/31.27 skol23, skol22 ) }.
% 30.90/31.27 parent0: (74223) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol23,
% 30.90/31.27 skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74224) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol22, X, Y )
% 30.90/31.27 , para( skol25, skol20, X, Y ) }.
% 30.90/31.27 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.90/31.27 , Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 parent1[0]: (357) {G4,W5,D2,L1,V0,M1} R(353,7) { perp( skol25, skol20,
% 30.90/31.27 skol23, skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol25
% 30.90/31.27 Y := skol20
% 30.90/31.27 Z := X
% 30.90/31.27 T := Y
% 30.90/31.27 U := skol23
% 30.90/31.27 W := skol22
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (359) {G5,W10,D2,L2,V2,M2} R(357,8) { ! perp( skol23, skol22,
% 30.90/31.27 X, Y ), para( skol25, skol20, X, Y ) }.
% 30.90/31.27 parent0: (74224) {G1,W10,D2,L2,V2,M2} { ! perp( skol23, skol22, X, Y ),
% 30.90/31.27 para( skol25, skol20, X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74226) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol22,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[0]: (357) {G4,W5,D2,L1,V0,M1} R(353,7) { perp( skol25, skol20,
% 30.90/31.27 skol23, skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol25
% 30.90/31.27 Y := skol20
% 30.90/31.27 Z := skol23
% 30.90/31.27 T := skol22
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (361) {G5,W5,D2,L1,V0,M1} R(357,6) { perp( skol25, skol20,
% 30.90/31.27 skol22, skol23 ) }.
% 30.90/31.27 parent0: (74226) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol22,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74227) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol25,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (361) {G5,W5,D2,L1,V0,M1} R(357,6) { perp( skol25, skol20,
% 30.90/31.27 skol22, skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol25
% 30.90/31.27 Y := skol20
% 30.90/31.27 Z := skol22
% 30.90/31.27 T := skol23
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (365) {G6,W5,D2,L1,V0,M1} R(361,7) { perp( skol22, skol23,
% 30.90/31.27 skol25, skol20 ) }.
% 30.90/31.27 parent0: (74227) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol25,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74228) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol20, X, Y )
% 30.90/31.27 , para( skol22, skol23, X, Y ) }.
% 30.90/31.27 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.90/31.27 , Z, T ), para( X, Y, Z, T ) }.
% 30.90/31.27 parent1[0]: (365) {G6,W5,D2,L1,V0,M1} R(361,7) { perp( skol22, skol23,
% 30.90/31.27 skol25, skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol22
% 30.90/31.27 Y := skol23
% 30.90/31.27 Z := X
% 30.90/31.27 T := Y
% 30.90/31.27 U := skol25
% 30.90/31.27 W := skol20
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (367) {G7,W10,D2,L2,V2,M2} R(365,8) { ! perp( skol25, skol20,
% 30.90/31.27 X, Y ), para( skol22, skol23, X, Y ) }.
% 30.90/31.27 parent0: (74228) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol20, X, Y ),
% 30.90/31.27 para( skol22, skol23, X, Y ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 1 ==> 1
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74230) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol22,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[0]: (254) {G2,W5,D2,L1,V0,M1} R(7,247) { perp( skol23, skol25,
% 30.90/31.27 skol20, skol22 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol23
% 30.90/31.27 Y := skol25
% 30.90/31.27 Z := skol20
% 30.90/31.27 T := skol22
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (372) {G3,W5,D2,L1,V0,M1} R(254,6) { perp( skol23, skol25,
% 30.90/31.27 skol22, skol20 ) }.
% 30.90/31.27 parent0: (74230) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol22,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74231) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol23,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (372) {G3,W5,D2,L1,V0,M1} R(254,6) { perp( skol23, skol25,
% 30.90/31.27 skol22, skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol23
% 30.90/31.27 Y := skol25
% 30.90/31.27 Z := skol22
% 30.90/31.27 T := skol20
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (376) {G4,W5,D2,L1,V0,M1} R(372,7) { perp( skol22, skol20,
% 30.90/31.27 skol23, skol25 ) }.
% 30.90/31.27 parent0: (74231) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol23,
% 30.90/31.27 skol25 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74232) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol25,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.27 T, Z ) }.
% 30.90/31.27 parent1[0]: (376) {G4,W5,D2,L1,V0,M1} R(372,7) { perp( skol22, skol20,
% 30.90/31.27 skol23, skol25 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol22
% 30.90/31.27 Y := skol20
% 30.90/31.27 Z := skol23
% 30.90/31.27 T := skol25
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (380) {G5,W5,D2,L1,V0,M1} R(376,6) { perp( skol22, skol20,
% 30.90/31.27 skol25, skol23 ) }.
% 30.90/31.27 parent0: (74232) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol25,
% 30.90/31.27 skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74233) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol23, skol22,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.27 X, Y ) }.
% 30.90/31.27 parent1[0]: (380) {G5,W5,D2,L1,V0,M1} R(376,6) { perp( skol22, skol20,
% 30.90/31.27 skol25, skol23 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := skol22
% 30.90/31.27 Y := skol20
% 30.90/31.27 Z := skol25
% 30.90/31.27 T := skol23
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (384) {G6,W5,D2,L1,V0,M1} R(380,7) { perp( skol25, skol23,
% 30.90/31.27 skol22, skol20 ) }.
% 30.90/31.27 parent0: (74233) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol23, skol22,
% 30.90/31.27 skol20 ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74235) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 30.90/31.27 ( X, Z, Y, T ) }.
% 30.90/31.27 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.90/31.27 , Y, T, Z ) }.
% 30.90/31.27 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.90/31.27 , Z, Y, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Y
% 30.90/31.27 Z := Z
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 substitution1:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Z
% 30.90/31.27 Z := Y
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 subsumption: (405) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.90/31.27 cyclic( X, Z, T, Y ) }.
% 30.90/31.27 parent0: (74235) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 30.90/31.27 , Z, Y, T ) }.
% 30.90/31.27 substitution0:
% 30.90/31.27 X := X
% 30.90/31.27 Y := Z
% 30.90/31.27 Z := Y
% 30.90/31.27 T := T
% 30.90/31.27 end
% 30.90/31.27 permutation0:
% 30.90/31.27 0 ==> 1
% 30.90/31.27 1 ==> 0
% 30.90/31.27 end
% 30.90/31.27
% 30.90/31.27 resolution: (74237) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 30.90/31.27 ) }.
% 30.90/31.27 parent0[0]: (234) {G5,W8,D2,L2,V3,M2} R(201,1) { ! coll( X, Y, Z ), coll( Z
% 30.90/31.27 , X, X ) }.
% 30.90/31.28 parent1[0]: (243) {G6,W8,D2,L2,V3,M2} R(234,1) { coll( X, Y, Y ), ! coll( Z
% 30.90/31.28 , Y, X ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (406) {G7,W8,D2,L2,V3,M2} R(243,234) { ! coll( X, Y, Z ), coll
% 30.90/31.28 ( Y, Z, Z ) }.
% 30.90/31.28 parent0: (74237) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := Z
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 1
% 30.90/31.28 1 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74238) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.90/31.28 ( X, Z, Y, T ) }.
% 30.90/31.28 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.90/31.28 , X, Z, T ) }.
% 30.90/31.28 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.90/31.28 , Z, Y, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := Y
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (411) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.90/31.28 cyclic( Y, Z, X, T ) }.
% 30.90/31.28 parent0: (74238) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.90/31.28 , Z, Y, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := Y
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74239) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.90/31.28 ( X, Y, T, Z ) }.
% 30.90/31.28 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.90/31.28 , X, Z, T ) }.
% 30.90/31.28 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.90/31.28 , Y, T, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := T
% 30.90/31.28 T := Z
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (413) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.90/31.28 cyclic( Y, X, T, Z ) }.
% 30.90/31.28 parent0: (74239) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.90/31.28 , Y, T, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := Y
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74240) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 30.90/31.28 ) }.
% 30.90/31.28 parent0[1]: (246) {G6,W8,D2,L2,V3,M2} R(234,0) { coll( X, Y, Y ), ! coll( Y
% 30.90/31.28 , X, Z ) }.
% 30.90/31.28 parent1[0]: (246) {G6,W8,D2,L2,V3,M2} R(234,0) { coll( X, Y, Y ), ! coll( Y
% 30.90/31.28 , X, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := Y
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (419) {G7,W8,D2,L2,V3,M2} R(246,246) { ! coll( X, Y, Z ), coll
% 30.90/31.28 ( X, Y, Y ) }.
% 30.90/31.28 parent0: (74240) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 1
% 30.90/31.28 1 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74244) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 30.90/31.28 X ), ! coll( X, Y, T ) }.
% 30.90/31.28 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.90/31.28 ), coll( Y, Z, X ) }.
% 30.90/31.28 parent1[1]: (419) {G7,W8,D2,L2,V3,M2} R(246,246) { ! coll( X, Y, Z ), coll
% 30.90/31.28 ( X, Y, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := Y
% 30.90/31.28 T := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := T
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (422) {G8,W12,D2,L3,V4,M3} R(419,2) { ! coll( X, Y, Z ), !
% 30.90/31.28 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.90/31.28 parent0: (74244) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.90/31.28 , ! coll( X, Y, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := T
% 30.90/31.28 T := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 1
% 30.90/31.28 1 ==> 2
% 30.90/31.28 2 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 factor: (74247) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.90/31.28 }.
% 30.90/31.28 parent0[0, 1]: (422) {G8,W12,D2,L3,V4,M3} R(419,2) { ! coll( X, Y, Z ), !
% 30.90/31.28 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := Z
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (423) {G9,W8,D2,L2,V3,M2} F(422) { ! coll( X, Y, Z ), coll( Z
% 30.90/31.28 , Y, X ) }.
% 30.90/31.28 parent0: (74247) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74248) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 30.90/31.28 ) }.
% 30.90/31.28 parent0[0]: (423) {G9,W8,D2,L2,V3,M2} F(422) { ! coll( X, Y, Z ), coll( Z,
% 30.90/31.28 Y, X ) }.
% 30.90/31.28 parent1[1]: (419) {G7,W8,D2,L2,V3,M2} R(246,246) { ! coll( X, Y, Z ), coll
% 30.90/31.28 ( X, Y, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (424) {G10,W8,D2,L2,V3,M2} R(423,419) { coll( X, X, Y ), !
% 30.90/31.28 coll( Y, X, Z ) }.
% 30.90/31.28 parent0: (74248) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := Y
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74249) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 30.90/31.28 ) }.
% 30.90/31.28 parent0[0]: (423) {G9,W8,D2,L2,V3,M2} F(422) { ! coll( X, Y, Z ), coll( Z,
% 30.90/31.28 Y, X ) }.
% 30.90/31.28 parent1[1]: (406) {G7,W8,D2,L2,V3,M2} R(243,234) { ! coll( X, Y, Z ), coll
% 30.90/31.28 ( Y, Z, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := Z
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (428) {G10,W8,D2,L2,V3,M2} R(423,406) { coll( X, X, Y ), !
% 30.90/31.28 coll( Z, Y, X ) }.
% 30.90/31.28 parent0: (74249) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := Y
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74252) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z,
% 30.90/31.28 X ), ! coll( Y, X, T ) }.
% 30.90/31.28 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.90/31.28 ), coll( Y, Z, X ) }.
% 30.90/31.28 parent1[0]: (424) {G10,W8,D2,L2,V3,M2} R(423,419) { coll( X, X, Y ), ! coll
% 30.90/31.28 ( Y, X, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := T
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (437) {G11,W12,D2,L3,V4,M3} R(424,2) { ! coll( X, Y, Z ), !
% 30.90/31.28 coll( Y, Y, T ), coll( X, T, Y ) }.
% 30.90/31.28 parent0: (74252) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z, X )
% 30.90/31.28 , ! coll( Y, X, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := Y
% 30.90/31.28 Y := X
% 30.90/31.28 Z := T
% 30.90/31.28 T := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 1
% 30.90/31.28 1 ==> 2
% 30.90/31.28 2 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74259) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 30.90/31.28 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.90/31.28 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.90/31.28 , X, Z, T ) }.
% 30.90/31.28 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.90/31.28 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 U := U
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (444) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 30.90/31.28 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.90/31.28 parent0: (74259) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 30.90/31.28 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := Y
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := T
% 30.90/31.28 T := U
% 30.90/31.28 U := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 2
% 30.90/31.28 1 ==> 0
% 30.90/31.28 2 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74262) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 30.90/31.28 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.90/31.28 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.90/31.28 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.90/31.28 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.90/31.28 , Y, T, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := Y
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := T
% 30.90/31.28 T := U
% 30.90/31.28 U := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := U
% 30.90/31.28 T := Z
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.90/31.28 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.90/31.28 parent0: (74262) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.90/31.28 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 U := U
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 2 ==> 2
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 factor: (74264) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 30.90/31.28 Y, T, T ) }.
% 30.90/31.28 parent0[0, 1]: (444) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 30.90/31.28 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 U := T
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (453) {G2,W10,D2,L2,V4,M2} F(444) { ! cyclic( X, Y, Z, T ),
% 30.90/31.28 cyclic( Z, Y, T, T ) }.
% 30.90/31.28 parent0: (74264) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 30.90/31.28 , Y, T, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74267) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z,
% 30.90/31.28 X ), ! coll( X, T, Y ) }.
% 30.90/31.28 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.90/31.28 ), coll( Y, Z, X ) }.
% 30.90/31.28 parent1[1]: (236) {G5,W8,D2,L2,V3,M2} R(201,0) { ! coll( X, Y, Z ), coll( X
% 30.90/31.28 , X, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := T
% 30.90/31.28 Z := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (476) {G6,W12,D2,L3,V4,M3} R(236,2) { ! coll( X, Y, Z ), !
% 30.90/31.28 coll( X, X, T ), coll( Z, T, X ) }.
% 30.90/31.28 parent0: (74267) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z, X )
% 30.90/31.28 , ! coll( X, T, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := T
% 30.90/31.28 T := Y
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 1
% 30.90/31.28 1 ==> 2
% 30.90/31.28 2 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74270) {G1,W9,D2,L2,V3,M2} { alpha1( X, X, Z ), ! perp( X, Z
% 30.90/31.28 , X, Y ) }.
% 30.90/31.28 parent0[0]: (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 30.90/31.28 ( X, X, Z ) }.
% 30.90/31.28 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.28 X, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := X
% 30.90/31.28 T := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (595) {G2,W9,D2,L2,V3,M2} R(152,7) { alpha1( X, X, Y ), ! perp
% 30.90/31.28 ( X, Y, X, Z ) }.
% 30.90/31.28 parent0: (74270) {G1,W9,D2,L2,V3,M2} { alpha1( X, X, Z ), ! perp( X, Z, X
% 30.90/31.28 , Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := Y
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74271) {G1,W9,D2,L2,V3,M2} { alpha1( X, X, Y ), ! perp( X, Y
% 30.90/31.28 , Z, X ) }.
% 30.90/31.28 parent0[1]: (595) {G2,W9,D2,L2,V3,M2} R(152,7) { alpha1( X, X, Y ), ! perp
% 30.90/31.28 ( X, Y, X, Z ) }.
% 30.90/31.28 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.90/31.28 T, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (610) {G3,W9,D2,L2,V3,M2} R(595,6) { alpha1( X, X, Y ), ! perp
% 30.90/31.28 ( X, Y, Z, X ) }.
% 30.90/31.28 parent0: (74271) {G1,W9,D2,L2,V3,M2} { alpha1( X, X, Y ), ! perp( X, Y, Z
% 30.90/31.28 , X ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74272) {G1,W9,D2,L2,V3,M2} { alpha1( X, X, Y ), ! perp( Z, X
% 30.90/31.28 , X, Y ) }.
% 30.90/31.28 parent0[1]: (610) {G3,W9,D2,L2,V3,M2} R(595,6) { alpha1( X, X, Y ), ! perp
% 30.90/31.28 ( X, Y, Z, X ) }.
% 30.90/31.28 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.90/31.28 X, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := Z
% 30.90/31.28 Y := X
% 30.90/31.28 Z := X
% 30.90/31.28 T := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (612) {G4,W9,D2,L2,V3,M2} R(610,7) { alpha1( X, X, Y ), ! perp
% 30.90/31.28 ( Z, X, X, Y ) }.
% 30.90/31.28 parent0: (74272) {G1,W9,D2,L2,V3,M2} { alpha1( X, X, Y ), ! perp( Z, X, X
% 30.90/31.28 , Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74273) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 30.90/31.28 ), ! para( X, Y, U, W ) }.
% 30.90/31.28 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.90/31.28 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.90/31.28 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.90/31.28 , Y, U, W, Z, T, U, W ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 U := U
% 30.90/31.28 W := W
% 30.90/31.28 V0 := Z
% 30.90/31.28 V1 := T
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := U
% 30.90/31.28 T := W
% 30.90/31.28 U := Z
% 30.90/31.28 W := T
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (878) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.90/31.28 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.90/31.28 parent0: (74273) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 30.90/31.28 , ! para( X, Y, U, W ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := U
% 30.90/31.28 T := W
% 30.90/31.28 U := Z
% 30.90/31.28 W := T
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 1
% 30.90/31.28 1 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74274) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 30.90/31.28 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 30.90/31.28 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.90/31.28 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.90/31.28 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.90/31.28 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := Y
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := X
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := T
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := T
% 30.90/31.28 T := Z
% 30.90/31.28 U := X
% 30.90/31.28 W := Y
% 30.90/31.28 V0 := X
% 30.90/31.28 V1 := Z
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (936) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 30.90/31.28 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.90/31.28 parent0: (74274) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 30.90/31.28 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := T
% 30.90/31.28 Z := Z
% 30.90/31.28 T := Y
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 2 ==> 2
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74275) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.90/31.28 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.90/31.28 cyclic( X, Y, Z, T ) }.
% 30.90/31.28 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.90/31.28 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.90/31.28 ), cong( X, Y, Z, T ) }.
% 30.90/31.28 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 30.90/31.28 Z, X, Z, Y, T, X, T, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := X
% 30.90/31.28 T := Y
% 30.90/31.28 U := Z
% 30.90/31.28 W := T
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 factor: (74277) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.90/31.28 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.90/31.28 parent0[0, 2]: (74275) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.90/31.28 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.90/31.28 cyclic( X, Y, Z, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (962) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 30.90/31.28 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.90/31.28 parent0: (74277) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.90/31.28 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 2 ==> 3
% 30.90/31.28 3 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 factor: (74282) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.90/31.28 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.90/31.28 parent0[0, 2]: (962) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 30.90/31.28 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (994) {G2,W15,D2,L3,V3,M3} F(962) { ! cyclic( X, Y, Z, X ), !
% 30.90/31.28 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.90/31.28 parent0: (74282) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.90/31.28 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 2 ==> 2
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74284) {G1,W9,D2,L2,V0,M2} { ! coll( skol26, skol23, skol25 )
% 30.90/31.28 , perp( skol23, skol22, skol22, skol25 ) }.
% 30.90/31.28 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 30.90/31.28 , X, Z ), perp( X, Y, Y, Z ) }.
% 30.90/31.28 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol23, skol22,
% 30.90/31.28 skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol23
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol25
% 30.90/31.28 T := skol26
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (1318) {G1,W9,D2,L2,V0,M2} R(53,120) { ! coll( skol26, skol23
% 30.90/31.28 , skol25 ), perp( skol23, skol22, skol22, skol25 ) }.
% 30.90/31.28 parent0: (74284) {G1,W9,D2,L2,V0,M2} { ! coll( skol26, skol23, skol25 ),
% 30.90/31.28 perp( skol23, skol22, skol22, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74286) {G1,W12,D3,L2,V1,M2} { ! perp( skol20, skol23, skol25
% 30.90/31.28 , skol22 ), coll( skol10( X, skol25, skol22 ), skol22, skol25 ) }.
% 30.90/31.28 parent0[1]: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 30.90/31.28 T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.90/31.28 parent1[0]: (257) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol25, skol23,
% 30.90/31.28 skol20, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol20
% 30.90/31.28 Y := skol25
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := skol23
% 30.90/31.28 U := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74288) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol25, skol22
% 30.90/31.28 ), skol22, skol25 ) }.
% 30.90/31.28 parent0[0]: (74286) {G1,W12,D3,L2,V1,M2} { ! perp( skol20, skol23, skol25
% 30.90/31.28 , skol22 ), coll( skol10( X, skol25, skol22 ), skol22, skol25 ) }.
% 30.90/31.28 parent1[0]: (346) {G6,W5,D2,L1,V0,M1} R(318,7) { perp( skol20, skol23,
% 30.90/31.28 skol25, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (3386) {G7,W7,D3,L1,V1,M1} R(94,257);r(346) { coll( skol10( X
% 30.90/31.28 , skol25, skol22 ), skol22, skol25 ) }.
% 30.90/31.28 parent0: (74288) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol25, skol22 ),
% 30.90/31.28 skol22, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74290) {G1,W12,D3,L2,V1,M2} { ! perp( skol20, skol25, skol23
% 30.90/31.28 , skol22 ), coll( skol10( X, skol23, skol22 ), skol22, skol23 ) }.
% 30.90/31.28 parent0[1]: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 30.90/31.28 T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.90/31.28 parent1[0]: (254) {G2,W5,D2,L1,V0,M1} R(7,247) { perp( skol23, skol25,
% 30.90/31.28 skol20, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol20
% 30.90/31.28 Y := skol23
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := skol25
% 30.90/31.28 U := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74292) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol23, skol22
% 30.90/31.28 ), skol22, skol23 ) }.
% 30.90/31.28 parent0[0]: (74290) {G1,W12,D3,L2,V1,M2} { ! perp( skol20, skol25, skol23
% 30.90/31.28 , skol22 ), coll( skol10( X, skol23, skol22 ), skol22, skol23 ) }.
% 30.90/31.28 parent1[0]: (248) {G1,W5,D2,L1,V0,M1} R(6,117) { perp( skol20, skol25,
% 30.90/31.28 skol23, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (3393) {G3,W7,D3,L1,V1,M1} R(94,254);r(248) { coll( skol10( X
% 30.90/31.28 , skol23, skol22 ), skol22, skol23 ) }.
% 30.90/31.28 parent0: (74292) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol23, skol22 ),
% 30.90/31.28 skol22, skol23 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74293) {G1,W9,D2,L2,V0,M2} { ! perp( skol22, skol23, skol25,
% 30.90/31.28 skol20 ), alpha1( skol25, skol22, skol20 ) }.
% 30.90/31.28 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 30.90/31.28 T, X, Z ), alpha1( X, Y, Z ) }.
% 30.90/31.28 parent1[0]: (384) {G6,W5,D2,L1,V0,M1} R(380,7) { perp( skol25, skol23,
% 30.90/31.28 skol22, skol20 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol25
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol20
% 30.90/31.28 T := skol23
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74295) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol22, skol20 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[0]: (74293) {G1,W9,D2,L2,V0,M2} { ! perp( skol22, skol23, skol25,
% 30.90/31.28 skol20 ), alpha1( skol25, skol22, skol20 ) }.
% 30.90/31.28 parent1[0]: (365) {G6,W5,D2,L1,V0,M1} R(361,7) { perp( skol22, skol23,
% 30.90/31.28 skol25, skol20 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (3582) {G7,W4,D2,L1,V0,M1} R(96,384);r(365) { alpha1( skol25,
% 30.90/31.28 skol22, skol20 ) }.
% 30.90/31.28 parent0: (74295) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol22, skol20 )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74296) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol20
% 30.90/31.28 ), skol20, skol25 ) }.
% 30.90/31.28 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 30.90/31.28 ( X, T, Z ), Z, X ) }.
% 30.90/31.28 parent1[0]: (3582) {G7,W4,D2,L1,V0,M1} R(96,384);r(365) { alpha1( skol25,
% 30.90/31.28 skol22, skol20 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol25
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol20
% 30.90/31.28 T := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (3673) {G8,W7,D3,L1,V1,M1} R(3582,97) { coll( skol11( skol25,
% 30.90/31.28 X, skol20 ), skol20, skol25 ) }.
% 30.90/31.28 parent0: (74296) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol20 ),
% 30.90/31.28 skol20, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74297) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol22, skol26 ),
% 30.90/31.28 skol22, skol22, skol26 ) }.
% 30.90/31.28 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 30.90/31.28 skol12( X, Y ), X, X, Y ) }.
% 30.90/31.28 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol22, skol24,
% 30.90/31.28 skol27 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol26
% 30.90/31.28 Z := skol24
% 30.90/31.28 T := skol27
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (3913) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol22,
% 30.90/31.28 skol26 ), skol22, skol22, skol26 ) }.
% 30.90/31.28 parent0: (74297) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol22, skol26 ),
% 30.90/31.28 skol22, skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74298) {G9,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[1]: (428) {G10,W8,D2,L2,V3,M2} R(423,406) { coll( X, X, Y ), ! coll
% 30.90/31.28 ( Z, Y, X ) }.
% 30.90/31.28 parent1[0]: (3673) {G8,W7,D3,L1,V1,M1} R(3582,97) { coll( skol11( skol25, X
% 30.90/31.28 , skol20 ), skol20, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol25
% 30.90/31.28 Y := skol20
% 30.90/31.28 Z := skol11( skol25, X, skol20 )
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (6194) {G11,W4,D2,L1,V0,M1} R(3673,428) { coll( skol25, skol25
% 30.90/31.28 , skol20 ) }.
% 30.90/31.28 parent0: (74298) {G9,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74299) {G2,W12,D2,L3,V2,M3} { coll( skol20, X, skol25 ), !
% 30.90/31.28 coll( X, Y, skol25 ), ! coll( X, Y, skol25 ) }.
% 30.90/31.28 parent0[0]: (168) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z
% 30.90/31.28 , T, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 30.90/31.28 parent1[0]: (6194) {G11,W4,D2,L1,V0,M1} R(3673,428) { coll( skol25, skol25
% 30.90/31.28 , skol20 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol25
% 30.90/31.28 Y := skol25
% 30.90/31.28 Z := skol20
% 30.90/31.28 T := X
% 30.90/31.28 U := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 factor: (74302) {G2,W8,D2,L2,V2,M2} { coll( skol20, X, skol25 ), ! coll( X
% 30.90/31.28 , Y, skol25 ) }.
% 30.90/31.28 parent0[1, 2]: (74299) {G2,W12,D2,L3,V2,M3} { coll( skol20, X, skol25 ), !
% 30.90/31.28 coll( X, Y, skol25 ), ! coll( X, Y, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (7276) {G12,W8,D2,L2,V2,M2} R(168,6194);f { coll( skol20, X,
% 30.90/31.28 skol25 ), ! coll( X, Y, skol25 ) }.
% 30.90/31.28 parent0: (74302) {G2,W8,D2,L2,V2,M2} { coll( skol20, X, skol25 ), ! coll(
% 30.90/31.28 X, Y, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74303) {G1,W7,D3,L1,V1,M1} { coll( skol22, skol10( X, skol25
% 30.90/31.28 , skol22 ), skol25 ) }.
% 30.90/31.28 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.90/31.28 }.
% 30.90/31.28 parent1[0]: (3386) {G7,W7,D3,L1,V1,M1} R(94,257);r(346) { coll( skol10( X,
% 30.90/31.28 skol25, skol22 ), skol22, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol10( X, skol25, skol22 )
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol25
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (9721) {G8,W7,D3,L1,V1,M1} R(3386,1) { coll( skol22, skol10( X
% 30.90/31.28 , skol25, skol22 ), skol25 ) }.
% 30.90/31.28 parent0: (74303) {G1,W7,D3,L1,V1,M1} { coll( skol22, skol10( X, skol25,
% 30.90/31.28 skol22 ), skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74304) {G4,W7,D3,L1,V1,M1} { coll( skol23, skol22, skol10( X
% 30.90/31.28 , skol23, skol22 ) ) }.
% 30.90/31.28 parent0[0]: (423) {G9,W8,D2,L2,V3,M2} F(422) { ! coll( X, Y, Z ), coll( Z,
% 30.90/31.28 Y, X ) }.
% 30.90/31.28 parent1[0]: (3393) {G3,W7,D3,L1,V1,M1} R(94,254);r(248) { coll( skol10( X,
% 30.90/31.28 skol23, skol22 ), skol22, skol23 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol10( X, skol23, skol22 )
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol23
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (12325) {G10,W7,D3,L1,V1,M1} R(3393,423) { coll( skol23,
% 30.90/31.28 skol22, skol10( X, skol23, skol22 ) ) }.
% 30.90/31.28 parent0: (74304) {G4,W7,D3,L1,V1,M1} { coll( skol23, skol22, skol10( X,
% 30.90/31.28 skol23, skol22 ) ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74305) {G2,W7,D3,L1,V0,M1} { perp( skol22, skol26, skol22,
% 30.90/31.28 skol12( skol22, skol26 ) ) }.
% 30.90/31.28 parent0[0]: (256) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 30.90/31.28 ( Z, T, Y, X ) }.
% 30.90/31.28 parent1[0]: (3913) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol22,
% 30.90/31.28 skol26 ), skol22, skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol12( skol22, skol26 )
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := skol26
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (15628) {G2,W7,D3,L1,V0,M1} R(3913,256) { perp( skol22, skol26
% 30.90/31.28 , skol22, skol12( skol22, skol26 ) ) }.
% 30.90/31.28 parent0: (74305) {G2,W7,D3,L1,V0,M1} { perp( skol22, skol26, skol22,
% 30.90/31.28 skol12( skol22, skol26 ) ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74306) {G2,W4,D2,L1,V0,M1} { alpha1( skol22, skol22, skol26 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[1]: (612) {G4,W9,D2,L2,V3,M2} R(610,7) { alpha1( X, X, Y ), ! perp
% 30.90/31.28 ( Z, X, X, Y ) }.
% 30.90/31.28 parent1[0]: (3913) {G1,W7,D3,L1,V0,M1} R(100,121) { perp( skol12( skol22,
% 30.90/31.28 skol26 ), skol22, skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol26
% 30.90/31.28 Z := skol12( skol22, skol26 )
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (15638) {G5,W4,D2,L1,V0,M1} R(3913,612) { alpha1( skol22,
% 30.90/31.28 skol22, skol26 ) }.
% 30.90/31.28 parent0: (74306) {G2,W4,D2,L1,V0,M1} { alpha1( skol22, skol22, skol26 )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74307) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol22, X, skol26
% 30.90/31.28 ), skol26, skol22 ) }.
% 30.90/31.28 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 30.90/31.28 ( X, T, Z ), Z, X ) }.
% 30.90/31.28 parent1[0]: (15638) {G5,W4,D2,L1,V0,M1} R(3913,612) { alpha1( skol22,
% 30.90/31.28 skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol26
% 30.90/31.28 T := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (15645) {G6,W7,D3,L1,V1,M1} R(15638,97) { coll( skol11( skol22
% 30.90/31.28 , X, skol26 ), skol26, skol22 ) }.
% 30.90/31.28 parent0: (74307) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol22, X, skol26 ),
% 30.90/31.28 skol26, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74308) {G7,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol26 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[1]: (428) {G10,W8,D2,L2,V3,M2} R(423,406) { coll( X, X, Y ), ! coll
% 30.90/31.28 ( Z, Y, X ) }.
% 30.90/31.28 parent1[0]: (15645) {G6,W7,D3,L1,V1,M1} R(15638,97) { coll( skol11( skol22
% 30.90/31.28 , X, skol26 ), skol26, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol26
% 30.90/31.28 Z := skol11( skol22, X, skol26 )
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (15694) {G11,W4,D2,L1,V0,M1} R(15645,428) { coll( skol22,
% 30.90/31.28 skol22, skol26 ) }.
% 30.90/31.28 parent0: (74308) {G7,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74309) {G3,W5,D2,L1,V0,M1} { para( skol22, skol26, skol22,
% 30.90/31.28 skol26 ) }.
% 30.90/31.28 parent0[0]: (306) {G2,W10,D2,L2,V4,M2} F(274) { ! perp( X, Y, Z, T ), para
% 30.90/31.28 ( X, Y, X, Y ) }.
% 30.90/31.28 parent1[0]: (15628) {G2,W7,D3,L1,V0,M1} R(3913,256) { perp( skol22, skol26
% 30.90/31.28 , skol22, skol12( skol22, skol26 ) ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol26
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := skol12( skol22, skol26 )
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (16664) {G3,W5,D2,L1,V0,M1} R(306,15628) { para( skol22,
% 30.90/31.28 skol26, skol22, skol26 ) }.
% 30.90/31.28 parent0: (74309) {G3,W5,D2,L1,V0,M1} { para( skol22, skol26, skol22,
% 30.90/31.28 skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74310) {G9,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol25 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[1]: (7276) {G12,W8,D2,L2,V2,M2} R(168,6194);f { coll( skol20, X,
% 30.90/31.28 skol25 ), ! coll( X, Y, skol25 ) }.
% 30.90/31.28 parent1[0]: (9721) {G8,W7,D3,L1,V1,M1} R(3386,1) { coll( skol22, skol10( X
% 30.90/31.28 , skol25, skol22 ), skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol10( X, skol25, skol22 )
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (17380) {G13,W4,D2,L1,V0,M1} R(7276,9721) { coll( skol20,
% 30.90/31.28 skol22, skol25 ) }.
% 30.90/31.28 parent0: (74310) {G9,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74311) {G10,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol20 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[0]: (423) {G9,W8,D2,L2,V3,M2} F(422) { ! coll( X, Y, Z ), coll( Z,
% 30.90/31.28 Y, X ) }.
% 30.90/31.28 parent1[0]: (17380) {G13,W4,D2,L1,V0,M1} R(7276,9721) { coll( skol20,
% 30.90/31.28 skol22, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol20
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol25
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (17815) {G14,W4,D2,L1,V0,M1} R(17380,423) { coll( skol25,
% 30.90/31.28 skol22, skol20 ) }.
% 30.90/31.28 parent0: (74311) {G10,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol20 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74313) {G12,W8,D2,L2,V2,M2} { ! coll( X, skol22, Y ), coll( X
% 30.90/31.28 , skol26, skol22 ) }.
% 30.90/31.28 parent0[1]: (437) {G11,W12,D2,L3,V4,M3} R(424,2) { ! coll( X, Y, Z ), !
% 30.90/31.28 coll( Y, Y, T ), coll( X, T, Y ) }.
% 30.90/31.28 parent1[0]: (15694) {G11,W4,D2,L1,V0,M1} R(15645,428) { coll( skol22,
% 30.90/31.28 skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := Y
% 30.90/31.28 T := skol26
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (31095) {G12,W8,D2,L2,V2,M2} R(437,15694) { ! coll( X, skol22
% 30.90/31.28 , Y ), coll( X, skol26, skol22 ) }.
% 30.90/31.28 parent0: (74313) {G12,W8,D2,L2,V2,M2} { ! coll( X, skol22, Y ), coll( X,
% 30.90/31.28 skol26, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74314) {G13,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol22 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[0]: (31095) {G12,W8,D2,L2,V2,M2} R(437,15694) { ! coll( X, skol22,
% 30.90/31.28 Y ), coll( X, skol26, skol22 ) }.
% 30.90/31.28 parent1[0]: (17815) {G14,W4,D2,L1,V0,M1} R(17380,423) { coll( skol25,
% 30.90/31.28 skol22, skol20 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol25
% 30.90/31.28 Y := skol20
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (31276) {G15,W4,D2,L1,V0,M1} R(31095,17815) { coll( skol25,
% 30.90/31.28 skol26, skol22 ) }.
% 30.90/31.28 parent0: (74314) {G13,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74315) {G11,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol22 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[0]: (31095) {G12,W8,D2,L2,V2,M2} R(437,15694) { ! coll( X, skol22,
% 30.90/31.28 Y ), coll( X, skol26, skol22 ) }.
% 30.90/31.28 parent1[0]: (12325) {G10,W7,D3,L1,V1,M1} R(3393,423) { coll( skol23, skol22
% 30.90/31.28 , skol10( X, skol23, skol22 ) ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol23
% 30.90/31.28 Y := skol10( X, skol23, skol22 )
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (31281) {G13,W4,D2,L1,V0,M1} R(31095,12325) { coll( skol23,
% 30.90/31.28 skol26, skol22 ) }.
% 30.90/31.28 parent0: (74315) {G11,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74316) {G11,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[1]: (424) {G10,W8,D2,L2,V3,M2} R(423,419) { coll( X, X, Y ), ! coll
% 30.90/31.28 ( Y, X, Z ) }.
% 30.90/31.28 parent1[0]: (31276) {G15,W4,D2,L1,V0,M1} R(31095,17815) { coll( skol25,
% 30.90/31.28 skol26, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol26
% 30.90/31.28 Y := skol25
% 30.90/31.28 Z := skol22
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (33019) {G16,W4,D2,L1,V0,M1} R(31276,424) { coll( skol26,
% 30.90/31.28 skol26, skol25 ) }.
% 30.90/31.28 parent0: (74316) {G11,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74317) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol23 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[0]: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 30.90/31.28 Z, X ) }.
% 30.90/31.28 parent1[0]: (31281) {G13,W4,D2,L1,V0,M1} R(31095,12325) { coll( skol23,
% 30.90/31.28 skol26, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol23
% 30.90/31.28 Y := skol26
% 30.90/31.28 Z := skol22
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (33581) {G14,W4,D2,L1,V0,M1} R(31281,164) { coll( skol26,
% 30.90/31.28 skol22, skol23 ) }.
% 30.90/31.28 parent0: (74317) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol23 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74319) {G7,W8,D2,L2,V2,M2} { ! coll( skol26, X, Y ), coll( Y
% 30.90/31.28 , skol25, skol26 ) }.
% 30.90/31.28 parent0[1]: (476) {G6,W12,D2,L3,V4,M3} R(236,2) { ! coll( X, Y, Z ), ! coll
% 30.90/31.28 ( X, X, T ), coll( Z, T, X ) }.
% 30.90/31.28 parent1[0]: (33019) {G16,W4,D2,L1,V0,M1} R(31276,424) { coll( skol26,
% 30.90/31.28 skol26, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol26
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Y
% 30.90/31.28 T := skol25
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (38924) {G17,W8,D2,L2,V2,M2} R(476,33019) { ! coll( skol26, X
% 30.90/31.28 , Y ), coll( Y, skol25, skol26 ) }.
% 30.90/31.28 parent0: (74319) {G7,W8,D2,L2,V2,M2} { ! coll( skol26, X, Y ), coll( Y,
% 30.90/31.28 skol25, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 1 ==> 1
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74320) {G15,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[0]: (38924) {G17,W8,D2,L2,V2,M2} R(476,33019) { ! coll( skol26, X,
% 30.90/31.28 Y ), coll( Y, skol25, skol26 ) }.
% 30.90/31.28 parent1[0]: (33581) {G14,W4,D2,L1,V0,M1} R(31281,164) { coll( skol26,
% 30.90/31.28 skol22, skol23 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol23
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (39141) {G18,W4,D2,L1,V0,M1} R(38924,33581) { coll( skol23,
% 30.90/31.28 skol25, skol26 ) }.
% 30.90/31.28 parent0: (74320) {G15,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74321) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol23, skol25 )
% 30.90/31.28 }.
% 30.90/31.28 parent0[1]: (163) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 30.90/31.28 Z, X ) }.
% 30.90/31.28 parent1[0]: (39141) {G18,W4,D2,L1,V0,M1} R(38924,33581) { coll( skol23,
% 30.90/31.28 skol25, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol26
% 30.90/31.28 Y := skol23
% 30.90/31.28 Z := skol25
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (39244) {G19,W4,D2,L1,V0,M1} R(39141,163) { coll( skol26,
% 30.90/31.28 skol23, skol25 ) }.
% 30.90/31.28 parent0: (74321) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol23, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74322) {G2,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol22,
% 30.90/31.28 skol25 ) }.
% 30.90/31.28 parent0[0]: (1318) {G1,W9,D2,L2,V0,M2} R(53,120) { ! coll( skol26, skol23,
% 30.90/31.28 skol25 ), perp( skol23, skol22, skol22, skol25 ) }.
% 30.90/31.28 parent1[0]: (39244) {G19,W4,D2,L1,V0,M1} R(39141,163) { coll( skol26,
% 30.90/31.28 skol23, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (40651) {G20,W5,D2,L1,V0,M1} S(1318);r(39244) { perp( skol23,
% 30.90/31.28 skol22, skol22, skol25 ) }.
% 30.90/31.28 parent0: (74322) {G2,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol22,
% 30.90/31.28 skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74323) {G6,W5,D2,L1,V0,M1} { para( skol25, skol20, skol22,
% 30.90/31.28 skol25 ) }.
% 30.90/31.28 parent0[0]: (359) {G5,W10,D2,L2,V2,M2} R(357,8) { ! perp( skol23, skol22, X
% 30.90/31.28 , Y ), para( skol25, skol20, X, Y ) }.
% 30.90/31.28 parent1[0]: (40651) {G20,W5,D2,L1,V0,M1} S(1318);r(39244) { perp( skol23,
% 30.90/31.28 skol22, skol22, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol25
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (40751) {G21,W5,D2,L1,V0,M1} R(40651,359) { para( skol25,
% 30.90/31.28 skol20, skol22, skol25 ) }.
% 30.90/31.28 parent0: (74323) {G6,W5,D2,L1,V0,M1} { para( skol25, skol20, skol22,
% 30.90/31.28 skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74324) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol20,
% 30.90/31.28 skol23 ) }.
% 30.90/31.28 parent0[0]: (341) {G1,W10,D2,L2,V2,M2} R(9,118) { ! para( X, Y, skol22,
% 30.90/31.28 skol25 ), perp( X, Y, skol20, skol23 ) }.
% 30.90/31.28 parent1[0]: (40751) {G21,W5,D2,L1,V0,M1} R(40651,359) { para( skol25,
% 30.90/31.28 skol20, skol22, skol25 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol25
% 30.90/31.28 Y := skol20
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (40805) {G22,W5,D2,L1,V0,M1} R(40751,341) { perp( skol25,
% 30.90/31.28 skol20, skol20, skol23 ) }.
% 30.90/31.28 parent0: (74324) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol20,
% 30.90/31.28 skol23 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74325) {G8,W5,D2,L1,V0,M1} { para( skol22, skol23, skol20,
% 30.90/31.28 skol23 ) }.
% 30.90/31.28 parent0[0]: (367) {G7,W10,D2,L2,V2,M2} R(365,8) { ! perp( skol25, skol20, X
% 30.90/31.28 , Y ), para( skol22, skol23, X, Y ) }.
% 30.90/31.28 parent1[0]: (40805) {G22,W5,D2,L1,V0,M1} R(40751,341) { perp( skol25,
% 30.90/31.28 skol20, skol20, skol23 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol20
% 30.90/31.28 Y := skol23
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (40843) {G23,W5,D2,L1,V0,M1} R(40805,367) { para( skol22,
% 30.90/31.28 skol23, skol20, skol23 ) }.
% 30.90/31.28 parent0: (74325) {G8,W5,D2,L1,V0,M1} { para( skol22, skol23, skol20,
% 30.90/31.28 skol23 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74326) {G4,W5,D2,L1,V0,M1} { ! para( skol24, skol22, skol22,
% 30.90/31.28 skol23 ) }.
% 30.90/31.28 parent0[1]: (221) {G3,W10,D2,L2,V2,M2} R(5,209) { ! para( skol24, skol22, X
% 30.90/31.28 , Y ), ! para( X, Y, skol20, skol23 ) }.
% 30.90/31.28 parent1[0]: (40843) {G23,W5,D2,L1,V0,M1} R(40805,367) { para( skol22,
% 30.90/31.28 skol23, skol20, skol23 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol23
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (40920) {G24,W5,D2,L1,V0,M1} R(40843,221) { ! para( skol24,
% 30.90/31.28 skol22, skol22, skol23 ) }.
% 30.90/31.28 parent0: (74326) {G4,W5,D2,L1,V0,M1} { ! para( skol24, skol22, skol22,
% 30.90/31.28 skol23 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74327) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol22, skol26, X
% 30.90/31.28 , Y, skol22, skol26 ) }.
% 30.90/31.28 parent0[0]: (878) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.90/31.28 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.90/31.28 parent1[0]: (16664) {G3,W5,D2,L1,V0,M1} R(306,15628) { para( skol22, skol26
% 30.90/31.28 , skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol26
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := skol26
% 30.90/31.28 U := X
% 30.90/31.28 W := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (65759) {G4,W9,D2,L1,V2,M1} R(878,16664) { eqangle( X, Y,
% 30.90/31.28 skol22, skol26, X, Y, skol22, skol26 ) }.
% 30.90/31.28 parent0: (74327) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol22, skol26, X, Y
% 30.90/31.28 , skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74328) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol22,
% 30.90/31.28 skol22 ), ! eqangle( skol22, X, skol22, skol26, skol22, X, skol22, skol26
% 30.90/31.28 ) }.
% 30.90/31.28 parent0[0]: (936) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 30.90/31.28 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.90/31.28 parent1[0]: (15694) {G11,W4,D2,L1,V0,M1} R(15645,428) { coll( skol22,
% 30.90/31.28 skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol26
% 30.90/31.28 T := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74329) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol22,
% 30.90/31.28 skol22 ) }.
% 30.90/31.28 parent0[1]: (74328) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol22,
% 30.90/31.28 skol22 ), ! eqangle( skol22, X, skol22, skol26, skol22, X, skol22, skol26
% 30.90/31.28 ) }.
% 30.90/31.28 parent1[0]: (65759) {G4,W9,D2,L1,V2,M1} R(878,16664) { eqangle( X, Y,
% 30.90/31.28 skol22, skol26, X, Y, skol22, skol26 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (69969) {G12,W5,D2,L1,V1,M1} R(936,15694);r(65759) { cyclic( X
% 30.90/31.28 , skol26, skol22, skol22 ) }.
% 30.90/31.28 parent0: (74329) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol22, skol22 )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74330) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol22,
% 30.90/31.28 skol22 ) }.
% 30.90/31.28 parent0[1]: (413) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.90/31.28 cyclic( Y, X, T, Z ) }.
% 30.90/31.28 parent1[0]: (69969) {G12,W5,D2,L1,V1,M1} R(936,15694);r(65759) { cyclic( X
% 30.90/31.28 , skol26, skol22, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol26
% 30.90/31.28 Y := X
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := skol22
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (70042) {G13,W5,D2,L1,V1,M1} R(69969,413) { cyclic( skol26, X
% 30.90/31.28 , skol22, skol22 ) }.
% 30.90/31.28 parent0: (74330) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol22, skol22 )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74331) {G3,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol22,
% 30.90/31.28 skol22 ) }.
% 30.90/31.28 parent0[0]: (453) {G2,W10,D2,L2,V4,M2} F(444) { ! cyclic( X, Y, Z, T ),
% 30.90/31.28 cyclic( Z, Y, T, T ) }.
% 30.90/31.28 parent1[0]: (70042) {G13,W5,D2,L1,V1,M1} R(69969,413) { cyclic( skol26, X,
% 30.90/31.28 skol22, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol26
% 30.90/31.28 Y := X
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := skol22
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (70054) {G14,W5,D2,L1,V1,M1} R(70042,453) { cyclic( skol22, X
% 30.90/31.28 , skol22, skol22 ) }.
% 30.90/31.28 parent0: (74331) {G3,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol22, skol22 )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74332) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, X,
% 30.90/31.28 skol22 ) }.
% 30.90/31.28 parent0[1]: (411) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.90/31.28 cyclic( Y, Z, X, T ) }.
% 30.90/31.28 parent1[0]: (70054) {G14,W5,D2,L1,V1,M1} R(70042,453) { cyclic( skol22, X,
% 30.90/31.28 skol22, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := X
% 30.90/31.28 T := skol22
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (70076) {G15,W5,D2,L1,V1,M1} R(70054,411) { cyclic( skol22,
% 30.90/31.28 skol22, X, skol22 ) }.
% 30.90/31.28 parent0: (74332) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, X, skol22 )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74333) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, skol22,
% 30.90/31.28 X ) }.
% 30.90/31.28 parent0[0]: (405) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.90/31.28 cyclic( X, Z, T, Y ) }.
% 30.90/31.28 parent1[0]: (70054) {G14,W5,D2,L1,V1,M1} R(70042,453) { cyclic( skol22, X,
% 30.90/31.28 skol22, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := X
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := skol22
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (70077) {G15,W5,D2,L1,V1,M1} R(70054,405) { cyclic( skol22,
% 30.90/31.28 skol22, skol22, X ) }.
% 30.90/31.28 parent0: (74333) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, skol22, X )
% 30.90/31.28 }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74335) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol22, skol22,
% 30.90/31.28 skol22, X ), cyclic( skol22, skol22, X, Y ) }.
% 30.90/31.28 parent0[2]: (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.90/31.28 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.90/31.28 parent1[0]: (70076) {G15,W5,D2,L1,V1,M1} R(70054,411) { cyclic( skol22,
% 30.90/31.28 skol22, X, skol22 ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := X
% 30.90/31.28 U := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74336) {G3,W5,D2,L1,V2,M1} { cyclic( skol22, skol22, X, Y )
% 30.90/31.28 }.
% 30.90/31.28 parent0[0]: (74335) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol22, skol22,
% 30.90/31.28 skol22, X ), cyclic( skol22, skol22, X, Y ) }.
% 30.90/31.28 parent1[0]: (70077) {G15,W5,D2,L1,V1,M1} R(70054,405) { cyclic( skol22,
% 30.90/31.28 skol22, skol22, X ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (70082) {G16,W5,D2,L1,V2,M1} R(70076,449);r(70077) { cyclic(
% 30.90/31.28 skol22, skol22, X, Y ) }.
% 30.90/31.28 parent0: (74336) {G3,W5,D2,L1,V2,M1} { cyclic( skol22, skol22, X, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74337) {G2,W10,D2,L2,V3,M2} { cyclic( skol22, X, Y, Z ), !
% 30.90/31.28 cyclic( skol22, skol22, Z, X ) }.
% 30.90/31.28 parent0[0]: (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.90/31.28 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.90/31.28 parent1[0]: (70082) {G16,W5,D2,L1,V2,M1} R(70076,449);r(70077) { cyclic(
% 30.90/31.28 skol22, skol22, X, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := X
% 30.90/31.28 T := Y
% 30.90/31.28 U := Z
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74339) {G3,W5,D2,L1,V3,M1} { cyclic( skol22, X, Y, Z ) }.
% 30.90/31.28 parent0[1]: (74337) {G2,W10,D2,L2,V3,M2} { cyclic( skol22, X, Y, Z ), !
% 30.90/31.28 cyclic( skol22, skol22, Z, X ) }.
% 30.90/31.28 parent1[0]: (70082) {G16,W5,D2,L1,V2,M1} R(70076,449);r(70077) { cyclic(
% 30.90/31.28 skol22, skol22, X, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := Z
% 30.90/31.28 Y := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (70207) {G17,W5,D2,L1,V3,M1} R(70082,449);r(70082) { cyclic(
% 30.90/31.28 skol22, X, Y, Z ) }.
% 30.90/31.28 parent0: (74339) {G3,W5,D2,L1,V3,M1} { cyclic( skol22, X, Y, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74340) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.90/31.28 ( skol22, X, T, Y ) }.
% 30.90/31.28 parent0[0]: (449) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.90/31.28 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.90/31.28 parent1[0]: (70207) {G17,W5,D2,L1,V3,M1} R(70082,449);r(70082) { cyclic(
% 30.90/31.28 skol22, X, Y, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := skol22
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Y
% 30.90/31.28 T := Z
% 30.90/31.28 U := T
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74342) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.90/31.28 parent0[1]: (74340) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.90/31.28 ( skol22, X, T, Y ) }.
% 30.90/31.28 parent1[0]: (70207) {G17,W5,D2,L1,V3,M1} R(70082,449);r(70082) { cyclic(
% 30.90/31.28 skol22, X, Y, Z ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := T
% 30.90/31.28 Z := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (70226) {G18,W5,D2,L1,V4,M1} R(70207,449);r(70207) { cyclic( X
% 30.90/31.28 , Y, Z, T ) }.
% 30.90/31.28 parent0: (74342) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74345) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.90/31.28 , Y, X, Y ) }.
% 30.90/31.28 parent0[0]: (994) {G2,W15,D2,L3,V3,M3} F(962) { ! cyclic( X, Y, Z, X ), !
% 30.90/31.28 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.90/31.28 parent1[0]: (70226) {G18,W5,D2,L1,V4,M1} R(70207,449);r(70207) { cyclic( X
% 30.90/31.28 , Y, Z, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74347) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.90/31.28 parent0[0]: (74345) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.90/31.28 , Y, X, Y ) }.
% 30.90/31.28 parent1[0]: (70226) {G18,W5,D2,L1,V4,M1} R(70207,449);r(70207) { cyclic( X
% 30.90/31.28 , Y, Z, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (73220) {G19,W5,D2,L1,V2,M1} S(994);r(70226);r(70226) { cong(
% 30.90/31.28 X, Y, X, Y ) }.
% 30.90/31.28 parent0: (74347) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74348) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.90/31.28 X, Y, Z ) }.
% 30.90/31.28 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 30.90/31.28 T, Y, T ), perp( X, Y, Z, T ) }.
% 30.90/31.28 parent1[0]: (73220) {G19,W5,D2,L1,V2,M1} S(994);r(70226);r(70226) { cong( X
% 30.90/31.28 , Y, X, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Y
% 30.90/31.28 T := Z
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74350) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.90/31.28 parent0[0]: (74348) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.90/31.28 X, Y, Z ) }.
% 30.90/31.28 parent1[0]: (73220) {G19,W5,D2,L1,V2,M1} S(994);r(70226);r(70226) { cong( X
% 30.90/31.28 , Y, X, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (73241) {G20,W5,D2,L1,V3,M1} R(73220,56);r(73220) { perp( X, X
% 30.90/31.28 , Z, Y ) }.
% 30.90/31.28 parent0: (74350) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74351) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.90/31.28 X, T, U ) }.
% 30.90/31.28 parent0[0]: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.90/31.28 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.90/31.28 parent1[0]: (73241) {G20,W5,D2,L1,V3,M1} R(73220,56);r(73220) { perp( X, X
% 30.90/31.28 , Z, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := X
% 30.90/31.28 Z := Y
% 30.90/31.28 T := Z
% 30.90/31.28 U := T
% 30.90/31.28 W := U
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := Y
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74353) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.90/31.28 parent0[1]: (74351) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.90/31.28 X, T, U ) }.
% 30.90/31.28 parent1[0]: (73241) {G20,W5,D2,L1,V3,M1} R(73220,56);r(73220) { perp( X, X
% 30.90/31.28 , Z, Y ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := U
% 30.90/31.28 Y := Z
% 30.90/31.28 Z := T
% 30.90/31.28 T := X
% 30.90/31.28 U := Y
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := U
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := X
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (73288) {G21,W5,D2,L1,V4,M1} R(73241,273);r(73241) { para( X,
% 30.90/31.28 Y, Z, T ) }.
% 30.90/31.28 parent0: (74353) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 X := X
% 30.90/31.28 Y := Y
% 30.90/31.28 Z := Z
% 30.90/31.28 T := T
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 0 ==> 0
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 resolution: (74354) {G22,W0,D0,L0,V0,M0} { }.
% 30.90/31.28 parent0[0]: (40920) {G24,W5,D2,L1,V0,M1} R(40843,221) { ! para( skol24,
% 30.90/31.28 skol22, skol22, skol23 ) }.
% 30.90/31.28 parent1[0]: (73288) {G21,W5,D2,L1,V4,M1} R(73241,273);r(73241) { para( X, Y
% 30.90/31.28 , Z, T ) }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 substitution1:
% 30.90/31.28 X := skol24
% 30.90/31.28 Y := skol22
% 30.90/31.28 Z := skol22
% 30.90/31.28 T := skol23
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 subsumption: (73420) {G25,W0,D0,L0,V0,M0} R(73288,40920) { }.
% 30.90/31.28 parent0: (74354) {G22,W0,D0,L0,V0,M0} { }.
% 30.90/31.28 substitution0:
% 30.90/31.28 end
% 30.90/31.28 permutation0:
% 30.90/31.28 end
% 30.90/31.28
% 30.90/31.28 Proof check complete!
% 30.90/31.28
% 30.90/31.28 Memory use:
% 30.90/31.28
% 30.90/31.28 space for terms: 1033435
% 30.90/31.28 space for clauses: 3026141
% 30.90/31.28
% 30.90/31.28
% 30.90/31.28 clauses generated: 669199
% 30.90/31.28 clauses kept: 73421
% 30.90/31.28 clauses selected: 3284
% 30.90/31.28 clauses deleted: 11564
% 30.90/31.28 clauses inuse deleted: 216
% 30.90/31.28
% 30.90/31.28 subsentry: 46944893
% 30.90/31.28 literals s-matched: 23729930
% 30.90/31.28 literals matched: 13190532
% 30.90/31.28 full subsumption: 3005740
% 30.90/31.28
% 30.90/31.28 checksum: 1752865646
% 30.90/31.28
% 30.90/31.28
% 30.90/31.28 Bliksem ended
%------------------------------------------------------------------------------