%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:43 EDT 2022
% Result : Theorem 19.40s 19.78s
% Output : Refutation 19.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jun 17 22:45:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.75/1.14 *** allocated 10000 integers for termspace/termends
% 0.75/1.14 *** allocated 10000 integers for clauses
% 0.75/1.14 *** allocated 10000 integers for justifications
% 0.75/1.14 Bliksem 1.12
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Automatic Strategy Selection
% 0.75/1.14
% 0.75/1.14 *** allocated 15000 integers for termspace/termends
% 0.75/1.14
% 0.75/1.14 Clauses:
% 0.75/1.14
% 0.75/1.14 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.75/1.14 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.75/1.14 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.75/1.14 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.75/1.14 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.75/1.14 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.14 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.75/1.14 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.75/1.14 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.14 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.75/1.14 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.75/1.14 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.75/1.14 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.75/1.14 ( X, Y, Z, T ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.75/1.14 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.75/1.14 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.14 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.75/1.14 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.75/1.14 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.75/1.14 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.14 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.75/1.14 ( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.75/1.14 ( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.75/1.14 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.75/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.75/1.14 T ) }.
% 0.75/1.14 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.75/1.14 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.75/1.14 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.75/1.14 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.75/1.14 ) }.
% 0.75/1.14 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.75/1.14 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.75/1.14 }.
% 0.75/1.14 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.75/1.14 Z, Y ) }.
% 0.75/1.14 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.75/1.14 X, Z ) }.
% 0.75/1.14 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.75/1.14 U ) }.
% 0.75/1.14 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.75/1.14 , Z ), midp( Z, X, Y ) }.
% 0.75/1.14 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.75/1.14 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.75/1.14 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.75/1.14 Z, Y ) }.
% 0.75/1.14 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.75/1.14 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.75/1.14 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.75/1.14 ( Y, X, X, Z ) }.
% 0.75/1.14 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.75/1.14 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.14 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.75/1.14 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.75/1.14 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.75/1.14 , W ) }.
% 0.75/1.14 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.75/1.14 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.75/1.14 , Y ) }.
% 0.75/1.14 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.75/1.14 , X, Z, U, Y, Y, T ) }.
% 0.75/1.14 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.75/1.14 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.75/1.14 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.75/1.14 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.75/1.14 .
% 0.75/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.75/1.14 ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.75/1.14 , Z, T ) }.
% 0.75/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.75/1.14 , Z, T ) }.
% 0.75/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.75/1.14 , Z, T ) }.
% 0.75/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.75/1.14 , W, Z, T ), Z, T ) }.
% 0.75/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.75/1.14 , Y, Z, T ), X, Y ) }.
% 0.75/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.75/1.14 , W, Z, T ), Z, T ) }.
% 0.75/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.14 skol2( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.75/1.14 , W, Z, T ), Z, T ) }.
% 0.75/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.14 skol3( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.75/1.14 , T ) }.
% 0.75/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.75/1.14 ) ) }.
% 0.75/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.75/1.14 skol5( W, Y, Z, T ) ) }.
% 0.75/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.75/1.14 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.75/1.14 , X, T ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.75/1.14 W, X, Z ) }.
% 0.75/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.75/1.14 , Y, T ) }.
% 0.75/1.14 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.75/1.14 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.75/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.14 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.75/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.14 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.75/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.75/1.14 Z, T ) ) }.
% 0.75/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.75/1.14 , T ) ) }.
% 0.75/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.75/1.14 , X, Y ) }.
% 0.75/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.75/1.14 ) }.
% 0.75/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.75/1.14 , Y ) }.
% 0.75/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.75/1.14 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.75/1.14 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.75/1.14 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.75/1.14 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.07/5.44 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.07/5.44 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.07/5.44 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.07/5.44 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.07/5.44 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.07/5.44 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.07/5.44 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.07/5.44 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.07/5.44 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.07/5.44 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.07/5.44 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.07/5.44 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.07/5.44 X, Y, Z ) }.
% 5.07/5.44 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.07/5.44 }.
% 5.07/5.44 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.07/5.44 ) }.
% 5.07/5.44 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.07/5.44 skol17( X, Y ), X, Y ) }.
% 5.07/5.44 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.07/5.44 }.
% 5.07/5.44 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.07/5.44 ) }.
% 5.07/5.44 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.07/5.44 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.07/5.44 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.07/5.44 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.07/5.44 { circle( skol27, skol25, skol26, skol20 ) }.
% 5.07/5.44 { circle( skol28, skol25, skol26, skol22 ) }.
% 5.07/5.44 { circle( skol28, skol25, skol23, skol29 ) }.
% 5.07/5.44 { coll( skol23, skol25, skol20 ) }.
% 5.07/5.44 { circle( skol27, skol26, skol24, skol30 ) }.
% 5.07/5.44 { coll( skol24, skol26, skol22 ) }.
% 5.07/5.44 { ! para( skol20, skol24, skol23, skol22 ) }.
% 5.07/5.44
% 5.07/5.44 percentage equality = 0.008798, percentage horn = 0.926829
% 5.07/5.44 This is a problem with some equality
% 5.07/5.44
% 5.07/5.44
% 5.07/5.44
% 5.07/5.44 Options Used:
% 5.07/5.44
% 5.07/5.44 useres = 1
% 5.07/5.44 useparamod = 1
% 5.07/5.44 useeqrefl = 1
% 5.07/5.44 useeqfact = 1
% 5.07/5.44 usefactor = 1
% 5.07/5.44 usesimpsplitting = 0
% 5.07/5.44 usesimpdemod = 5
% 5.07/5.44 usesimpres = 3
% 5.07/5.44
% 5.07/5.44 resimpinuse = 1000
% 5.07/5.44 resimpclauses = 20000
% 5.07/5.44 substype = eqrewr
% 5.07/5.44 backwardsubs = 1
% 5.07/5.44 selectoldest = 5
% 5.07/5.44
% 5.07/5.44 litorderings [0] = split
% 5.07/5.44 litorderings [1] = extend the termordering, first sorting on arguments
% 5.07/5.44
% 5.07/5.44 termordering = kbo
% 5.07/5.44
% 5.07/5.44 litapriori = 0
% 5.07/5.44 termapriori = 1
% 5.07/5.44 litaposteriori = 0
% 5.07/5.44 termaposteriori = 0
% 5.07/5.44 demodaposteriori = 0
% 5.07/5.44 ordereqreflfact = 0
% 5.07/5.44
% 5.07/5.44 litselect = negord
% 5.07/5.44
% 5.07/5.44 maxweight = 15
% 5.07/5.44 maxdepth = 30000
% 5.07/5.44 maxlength = 115
% 5.07/5.44 maxnrvars = 195
% 5.07/5.44 excuselevel = 1
% 5.07/5.44 increasemaxweight = 1
% 5.07/5.44
% 5.07/5.44 maxselected = 10000000
% 5.07/5.44 maxnrclauses = 10000000
% 5.07/5.44
% 5.07/5.44 showgenerated = 0
% 5.07/5.44 showkept = 0
% 5.07/5.44 showselected = 0
% 5.07/5.44 showdeleted = 0
% 5.07/5.44 showresimp = 1
% 5.07/5.44 showstatus = 2000
% 5.07/5.44
% 5.07/5.44 prologoutput = 0
% 5.07/5.44 nrgoals = 5000000
% 5.07/5.44 totalproof = 1
% 5.07/5.44
% 5.07/5.44 Symbols occurring in the translation:
% 5.07/5.44
% 5.07/5.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.07/5.44 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 5.07/5.44 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 5.07/5.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.07/5.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.07/5.44 coll [38, 3] (w:1, o:69, a:1, s:1, b:0),
% 5.07/5.44 para [40, 4] (w:1, o:77, a:1, s:1, b:0),
% 5.07/5.44 perp [43, 4] (w:1, o:78, a:1, s:1, b:0),
% 5.07/5.44 midp [45, 3] (w:1, o:70, a:1, s:1, b:0),
% 5.07/5.44 cong [47, 4] (w:1, o:79, a:1, s:1, b:0),
% 5.07/5.44 circle [48, 4] (w:1, o:80, a:1, s:1, b:0),
% 5.07/5.44 cyclic [49, 4] (w:1, o:81, a:1, s:1, b:0),
% 5.07/5.44 eqangle [54, 8] (w:1, o:96, a:1, s:1, b:0),
% 5.07/5.44 eqratio [57, 8] (w:1, o:97, a:1, s:1, b:0),
% 5.07/5.44 simtri [59, 6] (w:1, o:93, a:1, s:1, b:0),
% 5.07/5.44 contri [60, 6] (w:1, o:94, a:1, s:1, b:0),
% 5.07/5.44 alpha1 [66, 3] (w:1, o:71, a:1, s:1, b:1),
% 5.07/5.44 alpha2 [67, 4] (w:1, o:82, a:1, s:1, b:1),
% 5.07/5.44 skol1 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 5.07/5.44 skol2 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 5.07/5.44 skol3 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 5.07/5.44 skol4 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 5.07/5.44 skol5 [72, 4] (w:1, o:89, a:1, s:1, b:1),
% 5.07/5.44 skol6 [73, 6] (w:1, o:95, a:1, s:1, b:1),
% 5.07/5.44 skol7 [74, 2] (w:1, o:65, a:1, s:1, b:1),
% 5.07/5.44 skol8 [75, 4] (w:1, o:90, a:1, s:1, b:1),
% 19.40/19.78 skol9 [76, 4] (w:1, o:91, a:1, s:1, b:1),
% 19.40/19.78 skol10 [77, 3] (w:1, o:72, a:1, s:1, b:1),
% 19.40/19.78 skol11 [78, 3] (w:1, o:73, a:1, s:1, b:1),
% 19.40/19.78 skol12 [79, 2] (w:1, o:66, a:1, s:1, b:1),
% 19.40/19.78 skol13 [80, 5] (w:1, o:92, a:1, s:1, b:1),
% 19.40/19.78 skol14 [81, 3] (w:1, o:74, a:1, s:1, b:1),
% 19.40/19.78 skol15 [82, 3] (w:1, o:75, a:1, s:1, b:1),
% 19.40/19.78 skol16 [83, 3] (w:1, o:76, a:1, s:1, b:1),
% 19.40/19.78 skol17 [84, 2] (w:1, o:67, a:1, s:1, b:1),
% 19.40/19.78 skol18 [85, 2] (w:1, o:68, a:1, s:1, b:1),
% 19.40/19.78 skol19 [86, 4] (w:1, o:84, a:1, s:1, b:1),
% 19.40/19.78 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 19.40/19.78 skol21 [88, 4] (w:1, o:86, a:1, s:1, b:1),
% 19.40/19.78 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 19.40/19.78 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 19.40/19.78 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 19.40/19.78 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 19.40/19.78 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 19.40/19.78 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 19.40/19.78 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 19.40/19.78 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 19.40/19.78 skol30 [97, 0] (w:1, o:35, a:1, s:1, b:1).
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Starting Search:
% 19.40/19.78
% 19.40/19.78 *** allocated 15000 integers for clauses
% 19.40/19.78 *** allocated 22500 integers for clauses
% 19.40/19.78 *** allocated 33750 integers for clauses
% 19.40/19.78 *** allocated 22500 integers for termspace/termends
% 19.40/19.78 *** allocated 50625 integers for clauses
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 75937 integers for clauses
% 19.40/19.78 *** allocated 33750 integers for termspace/termends
% 19.40/19.78 *** allocated 113905 integers for clauses
% 19.40/19.78 *** allocated 50625 integers for termspace/termends
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 21797
% 19.40/19.78 Kept: 2045
% 19.40/19.78 Inuse: 336
% 19.40/19.78 Deleted: 1
% 19.40/19.78 Deletedinuse: 1
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 170857 integers for clauses
% 19.40/19.78 *** allocated 75937 integers for termspace/termends
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 113905 integers for termspace/termends
% 19.40/19.78 *** allocated 256285 integers for clauses
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 37600
% 19.40/19.78 Kept: 4059
% 19.40/19.78 Inuse: 458
% 19.40/19.78 Deleted: 18
% 19.40/19.78 Deletedinuse: 1
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 170857 integers for termspace/termends
% 19.40/19.78 *** allocated 384427 integers for clauses
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 50656
% 19.40/19.78 Kept: 6063
% 19.40/19.78 Inuse: 520
% 19.40/19.78 Deleted: 19
% 19.40/19.78 Deletedinuse: 2
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 66990
% 19.40/19.78 Kept: 8070
% 19.40/19.78 Inuse: 680
% 19.40/19.78 Deleted: 20
% 19.40/19.78 Deletedinuse: 2
% 19.40/19.78
% 19.40/19.78 *** allocated 576640 integers for clauses
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 256285 integers for termspace/termends
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 89809
% 19.40/19.78 Kept: 10175
% 19.40/19.78 Inuse: 793
% 19.40/19.78 Deleted: 28
% 19.40/19.78 Deletedinuse: 5
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 99009
% 19.40/19.78 Kept: 12176
% 19.40/19.78 Inuse: 829
% 19.40/19.78 Deleted: 32
% 19.40/19.78 Deletedinuse: 9
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 864960 integers for clauses
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 118461
% 19.40/19.78 Kept: 14189
% 19.40/19.78 Inuse: 956
% 19.40/19.78 Deleted: 44
% 19.40/19.78 Deletedinuse: 9
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 384427 integers for termspace/termends
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 136161
% 19.40/19.78 Kept: 16199
% 19.40/19.78 Inuse: 1030
% 19.40/19.78 Deleted: 55
% 19.40/19.78 Deletedinuse: 15
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 161153
% 19.40/19.78 Kept: 18207
% 19.40/19.78 Inuse: 1142
% 19.40/19.78 Deleted: 69
% 19.40/19.78 Deletedinuse: 22
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 1297440 integers for clauses
% 19.40/19.78 Resimplifying clauses:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 173244
% 19.40/19.78 Kept: 20221
% 19.40/19.78 Inuse: 1234
% 19.40/19.78 Deleted: 3231
% 19.40/19.78 Deletedinuse: 32
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 188140
% 19.40/19.78 Kept: 22236
% 19.40/19.78 Inuse: 1366
% 19.40/19.78 Deleted: 3237
% 19.40/19.78 Deletedinuse: 38
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 198703
% 19.40/19.78 Kept: 24408
% 19.40/19.78 Inuse: 1437
% 19.40/19.78 Deleted: 3238
% 19.40/19.78 Deletedinuse: 38
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 576640 integers for termspace/termends
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 206594
% 19.40/19.78 Kept: 26448
% 19.40/19.78 Inuse: 1462
% 19.40/19.78 Deleted: 3238
% 19.40/19.78 Deletedinuse: 38
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 217073
% 19.40/19.78 Kept: 28560
% 19.40/19.78 Inuse: 1482
% 19.40/19.78 Deleted: 3240
% 19.40/19.78 Deletedinuse: 40
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 1946160 integers for clauses
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 229882
% 19.40/19.78 Kept: 30934
% 19.40/19.78 Inuse: 1525
% 19.40/19.78 Deleted: 3248
% 19.40/19.78 Deletedinuse: 46
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 243382
% 19.40/19.78 Kept: 33337
% 19.40/19.78 Inuse: 1630
% 19.40/19.78 Deleted: 3259
% 19.40/19.78 Deletedinuse: 52
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 254689
% 19.40/19.78 Kept: 35339
% 19.40/19.78 Inuse: 1721
% 19.40/19.78 Deleted: 3263
% 19.40/19.78 Deletedinuse: 53
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 268350
% 19.40/19.78 Kept: 37343
% 19.40/19.78 Inuse: 1834
% 19.40/19.78 Deleted: 3271
% 19.40/19.78 Deletedinuse: 58
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 286127
% 19.40/19.78 Kept: 39360
% 19.40/19.78 Inuse: 1992
% 19.40/19.78 Deleted: 3282
% 19.40/19.78 Deletedinuse: 61
% 19.40/19.78
% 19.40/19.78 Resimplifying clauses:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 *** allocated 864960 integers for termspace/termends
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 302821
% 19.40/19.78 Kept: 41371
% 19.40/19.78 Inuse: 2135
% 19.40/19.78 Deleted: 8007
% 19.40/19.78 Deletedinuse: 68
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 323878
% 19.40/19.78 Kept: 43371
% 19.40/19.78 Inuse: 2302
% 19.40/19.78 Deleted: 8012
% 19.40/19.78 Deletedinuse: 73
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 348187
% 19.40/19.78 Kept: 45381
% 19.40/19.78 Inuse: 2401
% 19.40/19.78 Deleted: 8020
% 19.40/19.78 Deletedinuse: 81
% 19.40/19.78
% 19.40/19.78 *** allocated 2919240 integers for clauses
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 383730
% 19.40/19.78 Kept: 47636
% 19.40/19.78 Inuse: 2560
% 19.40/19.78 Deleted: 8023
% 19.40/19.78 Deletedinuse: 82
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 400552
% 19.40/19.78 Kept: 49648
% 19.40/19.78 Inuse: 2706
% 19.40/19.78 Deleted: 8193
% 19.40/19.78 Deletedinuse: 181
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Intermediate Status:
% 19.40/19.78 Generated: 471796
% 19.40/19.78 Kept: 51655
% 19.40/19.78 Inuse: 2881
% 19.40/19.78 Deleted: 8236
% 19.40/19.78 Deletedinuse: 183
% 19.40/19.78
% 19.40/19.78 Resimplifying inuse:
% 19.40/19.78 Done
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Bliksems!, er is een bewijs:
% 19.40/19.78 % SZS status Theorem
% 19.40/19.78 % SZS output start Refutation
% 19.40/19.78
% 19.40/19.78 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 19.40/19.78 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 19.40/19.78 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 19.40/19.78 , Z, X ) }.
% 19.40/19.78 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 19.40/19.78 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 19.40/19.78 para( X, Y, Z, T ) }.
% 19.40/19.78 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 19.40/19.78 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 19.40/19.78 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 19.40/19.78 para( X, Y, Z, T ) }.
% 19.40/19.78 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 19.40/19.78 }.
% 19.40/19.78 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 19.40/19.78 }.
% 19.40/19.78 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 19.40/19.78 }.
% 19.40/19.78 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 19.40/19.78 ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.40/19.78 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.40/19.78 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 19.40/19.78 , T, U, W ) }.
% 19.40/19.78 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 19.40/19.78 T, X, T, Y ) }.
% 19.40/19.78 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 19.40/19.78 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 19.40/19.78 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 19.40/19.78 , Y, Z, T ) }.
% 19.40/19.78 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 19.40/19.78 perp( X, Y, Y, Z ) }.
% 19.40/19.78 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 19.40/19.78 perp( X, Y, Z, T ) }.
% 19.40/19.78 (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 19.40/19.78 coll( skol10( U, Y, Z ), Z, Y ) }.
% 19.40/19.78 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 19.40/19.78 alpha1( X, Y, Z ) }.
% 19.40/19.78 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 19.40/19.78 , Z, X ) }.
% 19.40/19.78 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 19.40/19.78 , X, X, Y ) }.
% 19.40/19.78 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol26, skol20 ) }.
% 19.40/19.78 (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol20 ) }.
% 19.40/19.78 (120) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol26, skol24, skol30 ) }.
% 19.40/19.78 (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol24, skol23, skol22 ) }.
% 19.40/19.78 (160) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol20, skol25 ) }.
% 19.40/19.78 (163) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol20, skol23, skol25 ) }.
% 19.40/19.78 (172) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z, T, X ), !
% 19.40/19.78 coll( T, U, X ), ! coll( T, U, Y ) }.
% 19.40/19.78 (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 19.40/19.78 coll( Z, X, T ) }.
% 19.40/19.78 (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 19.40/19.78 (212) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 19.40/19.78 coll( X, Z, T ) }.
% 19.40/19.78 (214) {G3,W4,D2,L1,V0,M1} R(194,163) { coll( skol25, skol20, skol25 ) }.
% 19.40/19.78 (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 19.40/19.78 (233) {G1,W5,D2,L1,V0,M1} R(4,122) { ! para( skol23, skol22, skol20, skol24
% 19.40/19.78 ) }.
% 19.40/19.78 (272) {G4,W4,D2,L1,V0,M1} R(214,0) { coll( skol25, skol25, skol20 ) }.
% 19.40/19.78 (274) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 19.40/19.78 ), ! perp( X, Y, U, W ) }.
% 19.40/19.78 (286) {G2,W10,D2,L2,V4,M2} F(274) { ! perp( X, Y, Z, T ), para( Z, T, Z, T
% 19.40/19.78 ) }.
% 19.40/19.78 (287) {G5,W8,D2,L2,V1,M2} R(272,2) { ! coll( skol25, skol25, X ), coll(
% 19.40/19.78 skol20, X, skol25 ) }.
% 19.40/19.78 (288) {G5,W8,D2,L2,V1,M2} R(272,2) { ! coll( skol25, skol25, X ), coll( X,
% 19.40/19.78 skol20, skol25 ) }.
% 19.40/19.78 (342) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 19.40/19.78 , T, Y ) }.
% 19.40/19.78 (355) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 19.40/19.78 , X, T ) }.
% 19.40/19.78 (357) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 19.40/19.78 , T, Z ) }.
% 19.40/19.78 (366) {G2,W10,D2,L2,V2,M2} R(233,5) { ! para( skol23, skol22, X, Y ), !
% 19.40/19.78 para( X, Y, skol20, skol24 ) }.
% 19.40/19.78 (374) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 19.40/19.78 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 19.40/19.78 (379) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 19.40/19.78 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.40/19.78 (383) {G2,W10,D2,L2,V4,M2} F(374) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 19.40/19.78 , T ) }.
% 19.40/19.78 (387) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 19.40/19.78 (392) {G6,W8,D2,L2,V3,M2} R(387,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 19.40/19.78 (393) {G6,W8,D2,L2,V3,M2} R(387,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 19.40/19.78 (394) {G7,W8,D2,L2,V3,M2} R(392,387) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 19.40/19.78 }.
% 19.40/19.78 (397) {G7,W8,D2,L2,V3,M2} R(393,393) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 19.40/19.78 }.
% 19.40/19.78 (400) {G8,W12,D2,L3,V4,M3} R(397,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 19.40/19.78 , coll( T, Y, X ) }.
% 19.40/19.78 (401) {G9,W8,D2,L2,V3,M2} F(400) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 19.40/19.78 (402) {G10,W8,D2,L2,V3,M2} R(401,397) { coll( X, X, Y ), ! coll( Y, X, Z )
% 19.40/19.78 }.
% 19.40/19.78 (404) {G10,W8,D2,L2,V3,M2} R(401,394) { coll( X, X, Y ), ! coll( Z, Y, X )
% 19.40/19.78 }.
% 19.40/19.78 (405) {G10,W8,D2,L2,V3,M2} R(401,392) { coll( X, X, Y ), ! coll( Z, X, Y )
% 19.40/19.78 }.
% 19.40/19.78 (762) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 19.40/19.78 X, Y, U, W, Z, T ) }.
% 19.40/19.78 (811) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 19.40/19.78 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 19.40/19.78 (887) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.40/19.78 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 19.40/19.78 (919) {G2,W15,D2,L3,V3,M3} F(887) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 19.40/19.78 , Z, Y ), cong( X, Y, X, Y ) }.
% 19.40/19.78 (1451) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol27, skol25, skol20 ),
% 19.40/19.78 perp( skol25, skol26, skol26, skol20 ) }.
% 19.40/19.78 (4320) {G11,W8,D2,L2,V3,M2} R(97,405) { ! alpha1( X, Y, Z ), coll( Z, Z, X
% 19.40/19.78 ) }.
% 19.40/19.78 (4321) {G11,W8,D2,L2,V3,M2} R(97,404) { ! alpha1( X, Y, Z ), coll( X, X, Z
% 19.40/19.78 ) }.
% 19.40/19.78 (4828) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25, skol27 ),
% 19.40/19.78 skol25, skol25, skol27 ) }.
% 19.40/19.78 (4830) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol26, skol27 ),
% 19.40/19.78 skol26, skol26, skol27 ) }.
% 19.40/19.78 (4843) {G2,W7,D3,L1,V0,M1} R(4828,7) { perp( skol25, skol27, skol12( skol25
% 19.40/19.78 , skol27 ), skol25 ) }.
% 19.40/19.78 (4844) {G2,W7,D3,L1,V0,M1} R(4828,6) { perp( skol12( skol25, skol27 ),
% 19.40/19.78 skol25, skol27, skol25 ) }.
% 19.40/19.78 (4854) {G3,W7,D3,L1,V0,M1} R(4843,6) { perp( skol25, skol27, skol25, skol12
% 19.40/19.78 ( skol25, skol27 ) ) }.
% 19.40/19.78 (4864) {G4,W7,D3,L1,V0,M1} R(4854,7) { perp( skol25, skol12( skol25, skol27
% 19.40/19.78 ), skol25, skol27 ) }.
% 19.40/19.78 (5014) {G5,W4,D2,L1,V0,M1} R(4864,96);r(4864) { alpha1( skol25, skol25,
% 19.40/19.78 skol27 ) }.
% 19.40/19.78 (5022) {G5,W7,D3,L1,V0,M1} R(4864,6) { perp( skol25, skol12( skol25, skol27
% 19.40/19.78 ), skol27, skol25 ) }.
% 19.40/19.78 (5176) {G12,W4,D2,L1,V0,M1} R(5014,4321) { coll( skol25, skol25, skol27 )
% 19.40/19.78 }.
% 19.40/19.78 (6405) {G6,W7,D3,L1,V0,M1} R(5022,7) { perp( skol27, skol25, skol25, skol12
% 19.40/19.78 ( skol25, skol27 ) ) }.
% 19.40/19.78 (6417) {G7,W7,D3,L1,V0,M1} R(6405,6) { perp( skol27, skol25, skol12( skol25
% 19.40/19.78 , skol27 ), skol25 ) }.
% 19.40/19.78 (6425) {G8,W7,D3,L1,V1,M1} R(6417,94);r(4844) { coll( skol10( X, skol27,
% 19.40/19.78 skol25 ), skol25, skol27 ) }.
% 19.40/19.78 (6854) {G9,W7,D3,L1,V1,M1} R(6425,1) { coll( skol25, skol10( X, skol27,
% 19.40/19.78 skol25 ), skol27 ) }.
% 19.40/19.78 (7739) {G2,W7,D3,L1,V0,M1} R(4830,7) { perp( skol26, skol27, skol12( skol26
% 19.40/19.78 , skol27 ), skol26 ) }.
% 19.40/19.78 (7750) {G3,W7,D3,L1,V0,M1} R(7739,6) { perp( skol26, skol27, skol26, skol12
% 19.40/19.78 ( skol26, skol27 ) ) }.
% 19.40/19.78 (7760) {G4,W7,D3,L1,V0,M1} R(7750,7) { perp( skol26, skol12( skol26, skol27
% 19.40/19.78 ), skol26, skol27 ) }.
% 19.40/19.78 (7882) {G5,W4,D2,L1,V0,M1} R(7760,96);r(7760) { alpha1( skol26, skol26,
% 19.40/19.78 skol27 ) }.
% 19.40/19.78 (7895) {G12,W4,D2,L1,V0,M1} R(7882,4320) { coll( skol27, skol27, skol26 )
% 19.40/19.78 }.
% 19.40/19.78 (8955) {G13,W8,D2,L2,V2,M2} R(172,7895);f { coll( skol26, X, skol27 ), !
% 19.40/19.78 coll( X, Y, skol27 ) }.
% 19.40/19.78 (9197) {G14,W4,D2,L1,V0,M1} R(8955,6854) { coll( skol26, skol25, skol27 )
% 19.40/19.78 }.
% 19.40/19.78 (9356) {G15,W4,D2,L1,V0,M1} R(9197,402) { coll( skol25, skol25, skol26 )
% 19.40/19.78 }.
% 19.40/19.78 (17661) {G16,W4,D2,L1,V0,M1} R(287,9356) { coll( skol20, skol26, skol25 )
% 19.40/19.78 }.
% 19.40/19.78 (17757) {G17,W4,D2,L1,V0,M1} R(17661,402) { coll( skol26, skol26, skol20 )
% 19.40/19.78 }.
% 19.40/19.78 (17841) {G13,W4,D2,L1,V0,M1} R(288,5176) { coll( skol27, skol20, skol25 )
% 19.40/19.78 }.
% 19.40/19.78 (18433) {G14,W4,D2,L1,V0,M1} R(17841,0) { coll( skol27, skol25, skol20 )
% 19.40/19.78 }.
% 19.40/19.78 (20034) {G15,W5,D2,L1,V0,M1} S(1451);r(18433) { perp( skol25, skol26,
% 19.40/19.78 skol26, skol20 ) }.
% 19.40/19.78 (23142) {G16,W5,D2,L1,V0,M1} R(20034,286) { para( skol26, skol20, skol26,
% 19.40/19.78 skol20 ) }.
% 19.40/19.78 (44849) {G17,W9,D2,L1,V2,M1} R(762,23142) { eqangle( X, Y, skol26, skol20,
% 19.40/19.78 X, Y, skol26, skol20 ) }.
% 19.40/19.78 (47345) {G18,W5,D2,L1,V1,M1} R(811,17757);r(44849) { cyclic( X, skol20,
% 19.40/19.78 skol26, skol26 ) }.
% 19.40/19.78 (47656) {G19,W5,D2,L1,V1,M1} R(47345,357) { cyclic( skol20, X, skol26,
% 19.40/19.78 skol26 ) }.
% 19.40/19.78 (47668) {G20,W5,D2,L1,V1,M1} R(47656,383) { cyclic( skol26, X, skol26,
% 19.40/19.78 skol26 ) }.
% 19.40/19.78 (47690) {G21,W5,D2,L1,V1,M1} R(47668,355) { cyclic( skol26, skol26, X,
% 19.40/19.78 skol26 ) }.
% 19.40/19.78 (47691) {G21,W5,D2,L1,V1,M1} R(47668,342) { cyclic( skol26, skol26, skol26
% 19.40/19.78 , X ) }.
% 19.40/19.78 (47696) {G22,W5,D2,L1,V2,M1} R(47690,379);r(47691) { cyclic( skol26, skol26
% 19.40/19.78 , X, Y ) }.
% 19.40/19.78 (48066) {G23,W5,D2,L1,V3,M1} R(47696,379);r(47696) { cyclic( skol26, X, Y,
% 19.40/19.78 Z ) }.
% 19.40/19.78 (48085) {G24,W5,D2,L1,V4,M1} R(48066,379);r(48066) { cyclic( X, Y, Z, T )
% 19.40/19.78 }.
% 19.40/19.78 (52878) {G25,W5,D2,L1,V2,M1} S(919);r(48085);r(48085) { cong( X, Y, X, Y )
% 19.40/19.78 }.
% 19.40/19.78 (52895) {G26,W5,D2,L1,V3,M1} R(52878,56);r(52878) { perp( X, X, Z, Y ) }.
% 19.40/19.78 (52924) {G27,W5,D2,L1,V4,M1} R(52895,274);r(52895) { para( X, Y, Z, T ) }.
% 19.40/19.78 (53097) {G28,W0,D0,L0,V0,M0} R(52924,366);r(52924) { }.
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 % SZS output end Refutation
% 19.40/19.78 found a proof!
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Unprocessed initial clauses:
% 19.40/19.78
% 19.40/19.78 (53099) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 19.40/19.78 (53100) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 19.40/19.78 (53101) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 19.40/19.78 ( Y, Z, X ) }.
% 19.40/19.78 (53102) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 19.40/19.78 }.
% 19.40/19.78 (53103) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 19.40/19.78 }.
% 19.40/19.78 (53104) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 19.40/19.78 , para( X, Y, Z, T ) }.
% 19.40/19.78 (53105) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 19.40/19.78 }.
% 19.40/19.78 (53106) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 19.40/19.78 }.
% 19.40/19.78 (53107) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 19.40/19.78 , para( X, Y, Z, T ) }.
% 19.40/19.78 (53108) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 19.40/19.78 , perp( X, Y, Z, T ) }.
% 19.40/19.78 (53109) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 19.40/19.78 (53110) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 19.40/19.78 , circle( T, X, Y, Z ) }.
% 19.40/19.78 (53111) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 19.40/19.78 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 (53112) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 19.40/19.78 ) }.
% 19.40/19.78 (53113) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 19.40/19.78 ) }.
% 19.40/19.78 (53114) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 19.40/19.78 ) }.
% 19.40/19.78 (53115) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 19.40/19.78 T ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 (53116) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 19.40/19.78 (53117) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.40/19.78 (53118) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.40/19.78 (53119) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.40/19.78 (53120) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.40/19.78 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 19.40/19.78 V1 ) }.
% 19.40/19.78 (53121) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 19.40/19.78 }.
% 19.40/19.78 (53122) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 19.40/19.78 }.
% 19.40/19.78 (53123) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 19.40/19.78 , cong( X, Y, Z, T ) }.
% 19.40/19.78 (53124) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 19.40/19.78 (53125) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 19.40/19.78 (53126) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 19.40/19.78 (53127) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.40/19.78 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.40/19.78 (53128) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.40/19.78 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 19.40/19.78 V1 ) }.
% 19.40/19.78 (53129) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 19.40/19.78 , Z, T, U, W ) }.
% 19.40/19.78 (53130) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 19.40/19.78 , Z, T, U, W ) }.
% 19.40/19.78 (53131) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 19.40/19.78 , Z, T, U, W ) }.
% 19.40/19.78 (53132) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 19.40/19.78 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 19.40/19.78 (53133) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 19.40/19.78 , Z, T, U, W ) }.
% 19.40/19.78 (53134) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 19.40/19.78 , Z, T, U, W ) }.
% 19.40/19.78 (53135) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 19.40/19.78 , Z, T, U, W ) }.
% 19.40/19.78 (53136) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 19.40/19.78 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 19.40/19.78 (53137) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 19.40/19.78 X, Y, Z, T ) }.
% 19.40/19.78 (53138) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 19.40/19.78 Z, T, U, W ) }.
% 19.40/19.78 (53139) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 19.40/19.78 , T, X, T, Y ) }.
% 19.40/19.78 (53140) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 19.40/19.78 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 (53141) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 19.40/19.78 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 (53142) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 19.40/19.78 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 19.40/19.78 , Y, Z, T ) }.
% 19.40/19.78 (53143) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 19.40/19.78 ( Z, T, X, Y ) }.
% 19.40/19.78 (53144) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 19.40/19.78 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 19.40/19.78 (53145) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 19.40/19.78 X, Y, Z, Y ) }.
% 19.40/19.78 (53146) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 19.40/19.78 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 19.40/19.78 (53147) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 19.40/19.78 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 19.40/19.78 (53148) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 19.40/19.78 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 19.40/19.78 (53149) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 19.40/19.78 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 19.40/19.78 (53150) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 19.40/19.78 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 19.40/19.78 (53151) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 19.40/19.78 cong( X, Z, Y, Z ) }.
% 19.40/19.78 (53152) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 19.40/19.78 perp( X, Y, Y, Z ) }.
% 19.40/19.78 (53153) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 19.40/19.78 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 19.40/19.78 (53154) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 19.40/19.78 cong( Z, X, Z, Y ) }.
% 19.40/19.78 (53155) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 19.40/19.78 , perp( X, Y, Z, T ) }.
% 19.40/19.78 (53156) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 19.40/19.78 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 19.40/19.78 (53157) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 19.40/19.78 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 19.40/19.78 , W ) }.
% 19.40/19.78 (53158) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 19.40/19.78 , X, Z, T, U, T, W ) }.
% 19.40/19.78 (53159) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 19.40/19.78 , Y, Z, T, U, U, W ) }.
% 19.40/19.78 (53160) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 19.40/19.78 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 19.40/19.78 (53161) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 19.40/19.78 , T ) }.
% 19.40/19.78 (53162) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 19.40/19.78 ( X, Z, Y, T ) }.
% 19.40/19.78 (53163) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 19.40/19.78 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 19.40/19.78 (53164) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 19.40/19.78 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 19.40/19.78 (53165) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 19.40/19.78 (53166) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 19.40/19.78 midp( X, Y, Z ) }.
% 19.40/19.78 (53167) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 19.40/19.78 (53168) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 19.40/19.78 (53169) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 19.40/19.78 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 19.40/19.78 (53170) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 19.40/19.78 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 19.40/19.78 (53171) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 19.40/19.78 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 19.40/19.78 (53172) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 19.40/19.78 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 19.40/19.78 (53173) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 19.40/19.78 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 19.40/19.78 (53174) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 19.40/19.78 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 19.40/19.78 (53175) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 19.40/19.78 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 19.40/19.78 (53176) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 19.40/19.78 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 19.40/19.78 (53177) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 19.40/19.78 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 19.40/19.78 (53178) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 19.40/19.78 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 19.40/19.78 (53179) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 19.40/19.78 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 19.40/19.78 (53180) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 19.40/19.78 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 19.40/19.78 (53181) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 19.40/19.78 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 19.40/19.78 (53182) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 19.40/19.78 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 19.40/19.78 (53183) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 19.40/19.78 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 19.40/19.78 (53184) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 19.40/19.78 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 19.40/19.78 , T ) ) }.
% 19.40/19.78 (53185) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 19.40/19.78 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 19.40/19.78 (53186) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 19.40/19.78 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 19.40/19.78 (53187) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 19.40/19.78 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 19.40/19.78 (53188) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 19.40/19.78 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 19.40/19.78 (53189) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 19.40/19.78 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 19.40/19.78 ) }.
% 19.40/19.78 (53190) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 19.40/19.78 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 19.40/19.78 }.
% 19.40/19.78 (53191) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.40/19.78 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 19.40/19.78 (53192) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.40/19.78 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 19.40/19.78 (53193) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.40/19.78 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 19.40/19.78 (53194) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.40/19.78 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 19.40/19.78 (53195) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.40/19.78 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 19.40/19.78 (53196) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.40/19.78 , alpha1( X, Y, Z ) }.
% 19.40/19.78 (53197) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 19.40/19.78 ), Z, X ) }.
% 19.40/19.78 (53198) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 19.40/19.78 , Z ), Z, X ) }.
% 19.40/19.78 (53199) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 19.40/19.78 alpha1( X, Y, Z ) }.
% 19.40/19.78 (53200) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 19.40/19.78 ), X, X, Y ) }.
% 19.40/19.78 (53201) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.40/19.78 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 19.40/19.78 ) ) }.
% 19.40/19.78 (53202) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.40/19.78 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 19.40/19.78 (53203) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.40/19.78 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 19.40/19.78 }.
% 19.40/19.78 (53204) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 19.40/19.78 (53205) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 19.40/19.78 }.
% 19.40/19.78 (53206) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 19.40/19.78 alpha2( X, Y, Z, T ) }.
% 19.40/19.78 (53207) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 19.40/19.78 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 19.40/19.78 (53208) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 19.40/19.78 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 19.40/19.78 (53209) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 19.40/19.78 coll( skol16( W, Y, Z ), Y, Z ) }.
% 19.40/19.78 (53210) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 19.40/19.78 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 19.40/19.78 (53211) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 19.40/19.78 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 19.40/19.78 (53212) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 19.40/19.78 , coll( X, Y, skol18( X, Y ) ) }.
% 19.40/19.78 (53213) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 19.40/19.78 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 19.40/19.78 (53214) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 19.40/19.78 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 19.40/19.78 }.
% 19.40/19.78 (53215) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 19.40/19.78 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 19.40/19.78 }.
% 19.40/19.78 (53216) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol26, skol20 ) }.
% 19.40/19.78 (53217) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol26, skol22 ) }.
% 19.40/19.78 (53218) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol23, skol29 ) }.
% 19.40/19.78 (53219) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 19.40/19.78 (53220) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol26, skol24, skol30 ) }.
% 19.40/19.78 (53221) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol22 ) }.
% 19.40/19.78 (53222) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol24, skol23, skol22 ) }.
% 19.40/19.78
% 19.40/19.78
% 19.40/19.78 Total Proof:
% 19.40/19.78
% 19.40/19.78 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 parent0: (53099) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.40/19.78 }.
% 19.40/19.78 parent0: (53100) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 19.40/19.78 Z ), coll( Y, Z, X ) }.
% 19.40/19.78 parent0: (53101) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.40/19.78 ), coll( Y, Z, X ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 19.40/19.78 , X, Y ) }.
% 19.40/19.78 parent0: (53103) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 19.40/19.78 X, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 19.40/19.78 W, Z, T ), para( X, Y, Z, T ) }.
% 19.40/19.78 parent0: (53104) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 19.40/19.78 , Z, T ), para( X, Y, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 W := W
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 19.40/19.78 , T, Z ) }.
% 19.40/19.78 parent0: (53105) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 19.40/19.78 T, Z ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 19.40/19.78 , X, Y ) }.
% 19.40/19.78 parent0: (53106) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.40/19.78 X, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 19.40/19.78 W, Z, T ), para( X, Y, Z, T ) }.
% 19.40/19.78 parent0: (53107) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 19.40/19.78 , Z, T ), para( X, Y, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 W := W
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.40/19.78 X, Y, T, Z ) }.
% 19.40/19.78 parent0: (53112) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.40/19.78 , Y, T, Z ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.40/19.78 X, Z, Y, T ) }.
% 19.40/19.78 parent0: (53113) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.40/19.78 , Z, Y, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.40/19.78 Y, X, Z, T ) }.
% 19.40/19.78 parent0: (53114) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.40/19.78 , X, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 19.40/19.78 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 parent0: (53115) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 19.40/19.78 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 19.40/19.78 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.40/19.78 parent0: (53117) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.40/19.78 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 W := W
% 19.40/19.78 V0 := V0
% 19.40/19.78 V1 := V1
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 19.40/19.78 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.40/19.78 parent0: (53118) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.40/19.78 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 W := W
% 19.40/19.78 V0 := V0
% 19.40/19.78 V1 := V1
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.40/19.78 , Y, U, W, Z, T, U, W ) }.
% 19.40/19.78 parent0: (53138) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 19.40/19.78 Y, U, W, Z, T, U, W ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 W := W
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 19.40/19.78 ( Z, X, Z, Y, T, X, T, Y ) }.
% 19.40/19.78 parent0: (53139) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 19.40/19.78 , X, Z, Y, T, X, T, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 19.40/19.78 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 parent0: (53141) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 19.40/19.78 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 19.40/19.78 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 19.40/19.78 ), cong( X, Y, Z, T ) }.
% 19.40/19.78 parent0: (53142) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 19.40/19.78 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 19.40/19.78 , cong( X, Y, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 W := W
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 3 ==> 3
% 19.40/19.78 4 ==> 4
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 19.40/19.78 T, X, Z ), perp( X, Y, Y, Z ) }.
% 19.40/19.78 parent0: (53152) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 19.40/19.78 , X, Z ), perp( X, Y, Y, Z ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 19.40/19.78 , T, Y, T ), perp( X, Y, Z, T ) }.
% 19.40/19.78 parent0: (53155) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 19.40/19.78 , Y, T ), perp( X, Y, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 19.40/19.78 , T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 19.40/19.78 parent0: (53194) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 19.40/19.78 , X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 19.40/19.78 , T, X, Z ), alpha1( X, Y, Z ) }.
% 19.40/19.78 parent0: (53196) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 19.40/19.78 , X, Z ), alpha1( X, Y, Z ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 19.40/19.78 skol11( X, T, Z ), Z, X ) }.
% 19.40/19.78 parent0: (53197) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 19.40/19.78 ( X, T, Z ), Z, X ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 19.40/19.78 skol12( X, Y ), X, X, Y ) }.
% 19.40/19.78 parent0: (53200) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 19.40/19.78 skol12( X, Y ), X, X, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol26,
% 19.40/19.78 skol20 ) }.
% 19.40/19.78 parent0: (53216) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol26,
% 19.40/19.78 skol20 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol20 )
% 19.40/19.78 }.
% 19.40/19.78 parent0: (53219) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol26, skol24,
% 19.40/19.78 skol30 ) }.
% 19.40/19.78 parent0: (53220) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol26, skol24,
% 19.40/19.78 skol30 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol24, skol23,
% 19.40/19.78 skol22 ) }.
% 19.40/19.78 parent0: (53222) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol24, skol23,
% 19.40/19.78 skol22 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53738) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 )
% 19.40/19.78 }.
% 19.40/19.78 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol20 )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := skol23
% 19.40/19.78 Y := skol25
% 19.40/19.78 Z := skol20
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (160) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol20,
% 19.40/19.78 skol25 ) }.
% 19.40/19.78 parent0: (53738) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53739) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol25 )
% 19.40/19.78 }.
% 19.40/19.78 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.40/19.78 }.
% 19.40/19.78 parent1[0]: (160) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol23, skol20,
% 19.40/19.78 skol25 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := skol23
% 19.40/19.78 Y := skol20
% 19.40/19.78 Z := skol25
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (163) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol20, skol23,
% 19.40/19.78 skol25 ) }.
% 19.40/19.78 parent0: (53739) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol23, skol25 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53741) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, Z ), coll( Z, T,
% 19.40/19.78 X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 19.40/19.78 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.40/19.78 ), coll( Y, Z, X ) }.
% 19.40/19.78 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.40/19.78 ), coll( Y, Z, X ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := T
% 19.40/19.78 T := Y
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := T
% 19.40/19.78 Y := X
% 19.40/19.78 Z := Y
% 19.40/19.78 T := U
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (172) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z
% 19.40/19.78 , T, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 19.40/19.78 parent0: (53741) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, Z ), coll( Z, T, X )
% 19.40/19.78 , ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 3 ==> 3
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53751) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 19.40/19.78 X ), ! coll( Z, T, Y ) }.
% 19.40/19.78 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.40/19.78 ), coll( Y, Z, X ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := Z
% 19.40/19.78 Y := X
% 19.40/19.78 Z := Y
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 19.40/19.78 ( X, Y, T ), coll( Z, X, T ) }.
% 19.40/19.78 parent0: (53751) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 19.40/19.78 , ! coll( Z, T, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Z
% 19.40/19.78 Y := T
% 19.40/19.78 Z := X
% 19.40/19.78 T := Y
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 2
% 19.40/19.78 1 ==> 0
% 19.40/19.78 2 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 factor: (53753) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 19.40/19.78 }.
% 19.40/19.78 parent0[0, 1]: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 19.40/19.78 coll( X, Y, T ), coll( Z, X, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := Z
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z
% 19.40/19.78 , X, Z ) }.
% 19.40/19.78 parent0: (53753) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53754) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 19.40/19.78 X ), ! coll( Z, T, Y ) }.
% 19.40/19.78 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 19.40/19.78 X, Z ) }.
% 19.40/19.78 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.40/19.78 ), coll( Y, Z, X ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := Z
% 19.40/19.78 Y := X
% 19.40/19.78 Z := Y
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (212) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll
% 19.40/19.78 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 19.40/19.78 parent0: (53754) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 19.40/19.78 , ! coll( Z, T, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := X
% 19.40/19.78 T := Z
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53756) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 )
% 19.40/19.78 }.
% 19.40/19.78 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 19.40/19.78 X, Z ) }.
% 19.40/19.78 parent1[0]: (163) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol20, skol23,
% 19.40/19.78 skol25 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := skol20
% 19.40/19.78 Y := skol23
% 19.40/19.78 Z := skol25
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (214) {G3,W4,D2,L1,V0,M1} R(194,163) { coll( skol25, skol20,
% 19.40/19.78 skol25 ) }.
% 19.40/19.78 parent0: (53756) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 factor: (53757) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 parent0[1, 2]: (212) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), !
% 19.40/19.78 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := Y
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X
% 19.40/19.78 , Z, Y ) }.
% 19.40/19.78 parent0: (53757) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53758) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol22, skol20,
% 19.40/19.78 skol24 ) }.
% 19.40/19.78 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol24, skol23,
% 19.40/19.78 skol22 ) }.
% 19.40/19.78 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 19.40/19.78 X, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := skol23
% 19.40/19.78 Y := skol22
% 19.40/19.78 Z := skol20
% 19.40/19.78 T := skol24
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (233) {G1,W5,D2,L1,V0,M1} R(4,122) { ! para( skol23, skol22,
% 19.40/19.78 skol20, skol24 ) }.
% 19.40/19.78 parent0: (53758) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol22, skol20,
% 19.40/19.78 skol24 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53759) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 )
% 19.40/19.78 }.
% 19.40/19.78 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 parent1[0]: (214) {G3,W4,D2,L1,V0,M1} R(194,163) { coll( skol25, skol20,
% 19.40/19.78 skol25 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := skol25
% 19.40/19.78 Y := skol20
% 19.40/19.78 Z := skol25
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (272) {G4,W4,D2,L1,V0,M1} R(214,0) { coll( skol25, skol25,
% 19.40/19.78 skol20 ) }.
% 19.40/19.78 parent0: (53759) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53760) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 19.40/19.78 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 19.40/19.78 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 19.40/19.78 , Z, T ), para( X, Y, Z, T ) }.
% 19.40/19.78 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.40/19.78 X, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := U
% 19.40/19.78 T := W
% 19.40/19.78 U := Z
% 19.40/19.78 W := T
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := Z
% 19.40/19.78 Y := T
% 19.40/19.78 Z := X
% 19.40/19.78 T := Y
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (274) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 19.40/19.78 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 19.40/19.78 parent0: (53760) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 19.40/19.78 U, W ), ! perp( Z, T, X, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := U
% 19.40/19.78 Y := W
% 19.40/19.78 Z := X
% 19.40/19.78 T := Y
% 19.40/19.78 U := Z
% 19.40/19.78 W := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 factor: (53764) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T, Z
% 19.40/19.78 , T ) }.
% 19.40/19.78 parent0[0, 2]: (274) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 19.40/19.78 para( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := Z
% 19.40/19.78 W := T
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (286) {G2,W10,D2,L2,V4,M2} F(274) { ! perp( X, Y, Z, T ), para
% 19.40/19.78 ( Z, T, Z, T ) }.
% 19.40/19.78 parent0: (53764) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T,
% 19.40/19.78 Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53765) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ),
% 19.40/19.78 coll( skol20, X, skol25 ) }.
% 19.40/19.78 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.40/19.78 ), coll( Y, Z, X ) }.
% 19.40/19.78 parent1[0]: (272) {G4,W4,D2,L1,V0,M1} R(214,0) { coll( skol25, skol25,
% 19.40/19.78 skol20 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := skol25
% 19.40/19.78 Y := skol20
% 19.40/19.78 Z := X
% 19.40/19.78 T := skol25
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (287) {G5,W8,D2,L2,V1,M2} R(272,2) { ! coll( skol25, skol25, X
% 19.40/19.78 ), coll( skol20, X, skol25 ) }.
% 19.40/19.78 parent0: (53765) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ), coll(
% 19.40/19.78 skol20, X, skol25 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53768) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ),
% 19.40/19.78 coll( X, skol20, skol25 ) }.
% 19.40/19.78 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.40/19.78 ), coll( Y, Z, X ) }.
% 19.40/19.78 parent1[0]: (272) {G4,W4,D2,L1,V0,M1} R(214,0) { coll( skol25, skol25,
% 19.40/19.78 skol20 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := skol25
% 19.40/19.78 Y := X
% 19.40/19.78 Z := skol20
% 19.40/19.78 T := skol25
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (288) {G5,W8,D2,L2,V1,M2} R(272,2) { ! coll( skol25, skol25, X
% 19.40/19.78 ), coll( X, skol20, skol25 ) }.
% 19.40/19.78 parent0: (53768) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ), coll(
% 19.40/19.78 X, skol20, skol25 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53770) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 19.40/19.78 ( X, Z, Y, T ) }.
% 19.40/19.78 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.40/19.78 , Y, T, Z ) }.
% 19.40/19.78 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.40/19.78 , Z, Y, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := Y
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (342) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 19.40/19.78 cyclic( X, Z, T, Y ) }.
% 19.40/19.78 parent0: (53770) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 19.40/19.78 , Z, Y, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := Y
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 1
% 19.40/19.78 1 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53771) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 19.40/19.78 ( X, Z, Y, T ) }.
% 19.40/19.78 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.40/19.78 , X, Z, T ) }.
% 19.40/19.78 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.40/19.78 , Z, Y, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := Y
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (355) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 19.40/19.78 cyclic( Y, Z, X, T ) }.
% 19.40/19.78 parent0: (53771) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 19.40/19.78 , Z, Y, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := X
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53772) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 19.40/19.78 ( X, Y, T, Z ) }.
% 19.40/19.78 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.40/19.78 , X, Z, T ) }.
% 19.40/19.78 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.40/19.78 , Y, T, Z ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := T
% 19.40/19.78 T := Z
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (357) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 19.40/19.78 cyclic( Y, X, T, Z ) }.
% 19.40/19.78 parent0: (53772) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 19.40/19.78 , Y, T, Z ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := X
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53773) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol22, X, Y )
% 19.40/19.78 , ! para( X, Y, skol20, skol24 ) }.
% 19.40/19.78 parent0[0]: (233) {G1,W5,D2,L1,V0,M1} R(4,122) { ! para( skol23, skol22,
% 19.40/19.78 skol20, skol24 ) }.
% 19.40/19.78 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 19.40/19.78 , Z, T ), para( X, Y, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := skol23
% 19.40/19.78 Y := skol22
% 19.40/19.78 Z := skol20
% 19.40/19.78 T := skol24
% 19.40/19.78 U := X
% 19.40/19.78 W := Y
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (366) {G2,W10,D2,L2,V2,M2} R(233,5) { ! para( skol23, skol22,
% 19.40/19.78 X, Y ), ! para( X, Y, skol20, skol24 ) }.
% 19.40/19.78 parent0: (53773) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol22, X, Y ), !
% 19.40/19.78 para( X, Y, skol20, skol24 ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53777) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 19.40/19.78 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 19.40/19.78 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.40/19.78 , X, Z, T ) }.
% 19.40/19.78 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 19.40/19.78 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (374) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 19.40/19.78 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 19.40/19.78 parent0: (53777) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 19.40/19.78 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := T
% 19.40/19.78 T := U
% 19.40/19.78 U := X
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 2
% 19.40/19.78 1 ==> 0
% 19.40/19.78 2 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53780) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 19.40/19.78 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.40/19.78 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 19.40/19.78 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.40/19.78 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.40/19.78 , Y, T, Z ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := T
% 19.40/19.78 T := U
% 19.40/19.78 U := X
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := U
% 19.40/19.78 T := Z
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (379) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.40/19.78 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.40/19.78 parent0: (53780) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.40/19.78 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := U
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 2 ==> 2
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 factor: (53782) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 19.40/19.78 Y, T, T ) }.
% 19.40/19.78 parent0[0, 1]: (374) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 19.40/19.78 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 U := T
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (383) {G2,W10,D2,L2,V4,M2} F(374) { ! cyclic( X, Y, Z, T ),
% 19.40/19.78 cyclic( Z, Y, T, T ) }.
% 19.40/19.78 parent0: (53782) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 19.40/19.78 , Y, T, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := T
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53784) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 19.40/19.78 ) }.
% 19.40/19.78 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.40/19.78 }.
% 19.40/19.78 parent1[0]: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X,
% 19.40/19.78 Z, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := X
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (387) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll(
% 19.40/19.78 Z, X, X ) }.
% 19.40/19.78 parent0: (53784) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := Y
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 1
% 19.40/19.78 1 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53785) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 19.40/19.78 ) }.
% 19.40/19.78 parent0[0]: (387) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 19.40/19.78 , X, X ) }.
% 19.40/19.78 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := X
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (392) {G6,W8,D2,L2,V3,M2} R(387,1) { coll( X, Y, Y ), ! coll(
% 19.40/19.78 Z, Y, X ) }.
% 19.40/19.78 parent0: (53785) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := X
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53786) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 19.40/19.78 ) }.
% 19.40/19.78 parent0[0]: (387) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 19.40/19.78 , X, X ) }.
% 19.40/19.78 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := Y
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (393) {G6,W8,D2,L2,V3,M2} R(387,0) { coll( X, Y, Y ), ! coll(
% 19.40/19.78 Y, X, Z ) }.
% 19.40/19.78 parent0: (53786) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := X
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53788) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 19.40/19.78 ) }.
% 19.40/19.78 parent0[0]: (387) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 19.40/19.78 , X, X ) }.
% 19.40/19.78 parent1[0]: (392) {G6,W8,D2,L2,V3,M2} R(387,1) { coll( X, Y, Y ), ! coll( Z
% 19.40/19.78 , Y, X ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Y
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (394) {G7,W8,D2,L2,V3,M2} R(392,387) { ! coll( X, Y, Z ), coll
% 19.40/19.78 ( Y, Z, Z ) }.
% 19.40/19.78 parent0: (53788) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Z
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := X
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 1
% 19.40/19.78 1 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53789) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 19.40/19.78 ) }.
% 19.40/19.78 parent0[1]: (393) {G6,W8,D2,L2,V3,M2} R(387,0) { coll( X, Y, Y ), ! coll( Y
% 19.40/19.78 , X, Z ) }.
% 19.40/19.78 parent1[0]: (393) {G6,W8,D2,L2,V3,M2} R(387,0) { coll( X, Y, Y ), ! coll( Y
% 19.40/19.78 , X, Z ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := X
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := X
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (397) {G7,W8,D2,L2,V3,M2} R(393,393) { ! coll( X, Y, Z ), coll
% 19.40/19.78 ( X, Y, Y ) }.
% 19.40/19.78 parent0: (53789) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 1
% 19.40/19.78 1 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53793) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 19.40/19.78 X ), ! coll( X, Y, T ) }.
% 19.40/19.78 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.40/19.78 ), coll( Y, Z, X ) }.
% 19.40/19.78 parent1[1]: (397) {G7,W8,D2,L2,V3,M2} R(393,393) { ! coll( X, Y, Z ), coll
% 19.40/19.78 ( X, Y, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Z
% 19.40/19.78 Z := Y
% 19.40/19.78 T := Y
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := T
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (400) {G8,W12,D2,L3,V4,M3} R(397,2) { ! coll( X, Y, Z ), !
% 19.40/19.78 coll( X, Y, T ), coll( T, Y, X ) }.
% 19.40/19.78 parent0: (53793) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 19.40/19.78 , ! coll( X, Y, T ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := T
% 19.40/19.78 T := Z
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 1
% 19.40/19.78 1 ==> 2
% 19.40/19.78 2 ==> 0
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 factor: (53796) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 19.40/19.78 }.
% 19.40/19.78 parent0[0, 1]: (400) {G8,W12,D2,L3,V4,M3} R(397,2) { ! coll( X, Y, Z ), !
% 19.40/19.78 coll( X, Y, T ), coll( T, Y, X ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 T := Z
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (401) {G9,W8,D2,L2,V3,M2} F(400) { ! coll( X, Y, Z ), coll( Z
% 19.40/19.78 , Y, X ) }.
% 19.40/19.78 parent0: (53796) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53797) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 19.40/19.78 ) }.
% 19.40/19.78 parent0[0]: (401) {G9,W8,D2,L2,V3,M2} F(400) { ! coll( X, Y, Z ), coll( Z,
% 19.40/19.78 Y, X ) }.
% 19.40/19.78 parent1[1]: (397) {G7,W8,D2,L2,V3,M2} R(393,393) { ! coll( X, Y, Z ), coll
% 19.40/19.78 ( X, Y, Y ) }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Y
% 19.40/19.78 end
% 19.40/19.78 substitution1:
% 19.40/19.78 X := X
% 19.40/19.78 Y := Y
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 subsumption: (402) {G10,W8,D2,L2,V3,M2} R(401,397) { coll( X, X, Y ), !
% 19.40/19.78 coll( Y, X, Z ) }.
% 19.40/19.78 parent0: (53797) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 19.40/19.78 }.
% 19.40/19.78 substitution0:
% 19.40/19.78 X := Y
% 19.40/19.78 Y := X
% 19.40/19.78 Z := Z
% 19.40/19.78 end
% 19.40/19.78 permutation0:
% 19.40/19.78 0 ==> 0
% 19.40/19.78 1 ==> 1
% 19.40/19.78 end
% 19.40/19.78
% 19.40/19.78 resolution: (53798) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 19.40/19.79 ) }.
% 19.40/19.79 parent0[0]: (401) {G9,W8,D2,L2,V3,M2} F(400) { ! coll( X, Y, Z ), coll( Z,
% 19.40/19.79 Y, X ) }.
% 19.40/19.79 parent1[1]: (394) {G7,W8,D2,L2,V3,M2} R(392,387) { ! coll( X, Y, Z ), coll
% 19.40/19.79 ( Y, Z, Z ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := Z
% 19.40/19.79 Y := X
% 19.40/19.79 Z := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (404) {G10,W8,D2,L2,V3,M2} R(401,394) { coll( X, X, Y ), !
% 19.40/19.79 coll( Z, Y, X ) }.
% 19.40/19.79 parent0: (53798) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := Y
% 19.40/19.79 Y := X
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 1 ==> 1
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53799) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 19.40/19.79 ) }.
% 19.40/19.79 parent0[0]: (401) {G9,W8,D2,L2,V3,M2} F(400) { ! coll( X, Y, Z ), coll( Z,
% 19.40/19.79 Y, X ) }.
% 19.40/19.79 parent1[0]: (392) {G6,W8,D2,L2,V3,M2} R(387,1) { coll( X, Y, Y ), ! coll( Z
% 19.40/19.79 , Y, X ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (405) {G10,W8,D2,L2,V3,M2} R(401,392) { coll( X, X, Y ), !
% 19.40/19.79 coll( Z, X, Y ) }.
% 19.40/19.79 parent0: (53799) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := Y
% 19.40/19.79 Y := X
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 1 ==> 1
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53800) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 19.40/19.79 ), ! para( X, Y, U, W ) }.
% 19.40/19.79 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.40/19.79 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.40/19.79 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.40/19.79 , Y, U, W, Z, T, U, W ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 T := T
% 19.40/19.79 U := U
% 19.40/19.79 W := W
% 19.40/19.79 V0 := Z
% 19.40/19.79 V1 := T
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := U
% 19.40/19.79 T := W
% 19.40/19.79 U := Z
% 19.40/19.79 W := T
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (762) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 19.40/19.79 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 19.40/19.79 parent0: (53800) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 19.40/19.79 , ! para( X, Y, U, W ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := U
% 19.40/19.79 T := W
% 19.40/19.79 U := Z
% 19.40/19.79 W := T
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 1
% 19.40/19.79 1 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53801) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 19.40/19.79 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 19.40/19.79 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 19.40/19.79 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.40/19.79 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.40/19.79 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := Y
% 19.40/19.79 Y := Z
% 19.40/19.79 Z := X
% 19.40/19.79 T := T
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := T
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := T
% 19.40/19.79 T := Z
% 19.40/19.79 U := X
% 19.40/19.79 W := Y
% 19.40/19.79 V0 := X
% 19.40/19.79 V1 := Z
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (811) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 19.40/19.79 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 19.40/19.79 parent0: (53801) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 19.40/19.79 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := T
% 19.40/19.79 Z := Z
% 19.40/19.79 T := Y
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 1 ==> 1
% 19.40/19.79 2 ==> 2
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53802) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 19.40/19.79 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 19.40/19.79 cyclic( X, Y, Z, T ) }.
% 19.40/19.79 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 19.40/19.79 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 19.40/19.79 ), cong( X, Y, Z, T ) }.
% 19.40/19.79 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 19.40/19.79 Z, X, Z, Y, T, X, T, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := X
% 19.40/19.79 T := Y
% 19.40/19.79 U := Z
% 19.40/19.79 W := T
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 T := T
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 factor: (53804) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.40/19.79 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 19.40/19.79 parent0[0, 2]: (53802) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 19.40/19.79 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 19.40/19.79 cyclic( X, Y, Z, T ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 T := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (887) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 19.40/19.79 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 19.40/19.79 parent0: (53804) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 19.40/19.79 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 1 ==> 1
% 19.40/19.79 2 ==> 3
% 19.40/19.79 3 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 factor: (53809) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.40/19.79 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.40/19.79 parent0[0, 2]: (887) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 19.40/19.79 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 T := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (919) {G2,W15,D2,L3,V3,M3} F(887) { ! cyclic( X, Y, Z, X ), !
% 19.40/19.79 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.40/19.79 parent0: (53809) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 19.40/19.79 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 1 ==> 1
% 19.40/19.79 2 ==> 2
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53811) {G1,W9,D2,L2,V0,M2} { ! coll( skol27, skol25, skol20 )
% 19.40/19.79 , perp( skol25, skol26, skol26, skol20 ) }.
% 19.40/19.79 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 19.40/19.79 , X, Z ), perp( X, Y, Y, Z ) }.
% 19.40/19.79 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol26,
% 19.40/19.79 skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := skol20
% 19.40/19.79 T := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (1451) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol27, skol25
% 19.40/19.79 , skol20 ), perp( skol25, skol26, skol26, skol20 ) }.
% 19.40/19.79 parent0: (53811) {G1,W9,D2,L2,V0,M2} { ! coll( skol27, skol25, skol20 ),
% 19.40/19.79 perp( skol25, skol26, skol26, skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 1 ==> 1
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53812) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T
% 19.40/19.79 , X ) }.
% 19.40/19.79 parent0[1]: (405) {G10,W8,D2,L2,V3,M2} R(401,392) { coll( X, X, Y ), ! coll
% 19.40/19.79 ( Z, X, Y ) }.
% 19.40/19.79 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 19.40/19.79 ( X, T, Z ), Z, X ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := skol11( Y, Z, X )
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := Y
% 19.40/19.79 Y := T
% 19.40/19.79 Z := X
% 19.40/19.79 T := Z
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (4320) {G11,W8,D2,L2,V3,M2} R(97,405) { ! alpha1( X, Y, Z ),
% 19.40/19.79 coll( Z, Z, X ) }.
% 19.40/19.79 parent0: (53812) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T, X
% 19.40/19.79 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := Z
% 19.40/19.79 Y := X
% 19.40/19.79 Z := T
% 19.40/19.79 T := Y
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 1
% 19.40/19.79 1 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53813) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T
% 19.40/19.79 , Y ) }.
% 19.40/19.79 parent0[1]: (404) {G10,W8,D2,L2,V3,M2} R(401,394) { coll( X, X, Y ), ! coll
% 19.40/19.79 ( Z, Y, X ) }.
% 19.40/19.79 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 19.40/19.79 ( X, T, Z ), Z, X ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := skol11( X, Z, Y )
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := T
% 19.40/19.79 Z := Y
% 19.40/19.79 T := Z
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (4321) {G11,W8,D2,L2,V3,M2} R(97,404) { ! alpha1( X, Y, Z ),
% 19.40/19.79 coll( X, X, Z ) }.
% 19.40/19.79 parent0: (53813) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T, Y
% 19.40/19.79 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Z
% 19.40/19.79 Z := T
% 19.40/19.79 T := Y
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 1
% 19.40/19.79 1 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53814) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 19.40/19.79 skol25, skol25, skol27 ) }.
% 19.40/19.79 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 19.40/19.79 skol12( X, Y ), X, X, Y ) }.
% 19.40/19.79 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol26,
% 19.40/19.79 skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol27
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := skol20
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (4828) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 19.40/19.79 skol27 ), skol25, skol25, skol27 ) }.
% 19.40/19.79 parent0: (53814) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 19.40/19.79 skol25, skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53815) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol27 ),
% 19.40/19.79 skol26, skol26, skol27 ) }.
% 19.40/19.79 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 19.40/19.79 skol12( X, Y ), X, X, Y ) }.
% 19.40/19.79 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol26, skol24,
% 19.40/19.79 skol30 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol27
% 19.40/19.79 Z := skol24
% 19.40/19.79 T := skol30
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (4830) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol26,
% 19.40/19.79 skol27 ), skol26, skol26, skol27 ) }.
% 19.40/19.79 parent0: (53815) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol27 ),
% 19.40/19.79 skol26, skol26, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53816) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 19.40/19.79 skol25, skol27 ), skol25 ) }.
% 19.40/19.79 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.40/19.79 X, Y ) }.
% 19.40/19.79 parent1[0]: (4828) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 19.40/19.79 skol27 ), skol25, skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol12( skol25, skol27 )
% 19.40/19.79 Y := skol25
% 19.40/19.79 Z := skol25
% 19.40/19.79 T := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (4843) {G2,W7,D3,L1,V0,M1} R(4828,7) { perp( skol25, skol27,
% 19.40/19.79 skol12( skol25, skol27 ), skol25 ) }.
% 19.40/19.79 parent0: (53816) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 19.40/19.79 skol25, skol27 ), skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53817) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 19.40/19.79 skol25, skol27, skol25 ) }.
% 19.40/19.79 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 19.40/19.79 T, Z ) }.
% 19.40/19.79 parent1[0]: (4828) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 19.40/19.79 skol27 ), skol25, skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol12( skol25, skol27 )
% 19.40/19.79 Y := skol25
% 19.40/19.79 Z := skol25
% 19.40/19.79 T := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (4844) {G2,W7,D3,L1,V0,M1} R(4828,6) { perp( skol12( skol25,
% 19.40/19.79 skol27 ), skol25, skol27, skol25 ) }.
% 19.40/19.79 parent0: (53817) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 19.40/19.79 skol25, skol27, skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53818) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 19.40/19.79 skol12( skol25, skol27 ) ) }.
% 19.40/19.79 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 19.40/19.79 T, Z ) }.
% 19.40/19.79 parent1[0]: (4843) {G2,W7,D3,L1,V0,M1} R(4828,7) { perp( skol25, skol27,
% 19.40/19.79 skol12( skol25, skol27 ), skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol27
% 19.40/19.79 Z := skol12( skol25, skol27 )
% 19.40/19.79 T := skol25
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (4854) {G3,W7,D3,L1,V0,M1} R(4843,6) { perp( skol25, skol27,
% 19.40/19.79 skol25, skol12( skol25, skol27 ) ) }.
% 19.40/19.79 parent0: (53818) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 19.40/19.79 skol12( skol25, skol27 ) ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53819) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 19.40/19.79 skol27 ), skol25, skol27 ) }.
% 19.40/19.79 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.40/19.79 X, Y ) }.
% 19.40/19.79 parent1[0]: (4854) {G3,W7,D3,L1,V0,M1} R(4843,6) { perp( skol25, skol27,
% 19.40/19.79 skol25, skol12( skol25, skol27 ) ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol27
% 19.40/19.79 Z := skol25
% 19.40/19.79 T := skol12( skol25, skol27 )
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (4864) {G4,W7,D3,L1,V0,M1} R(4854,7) { perp( skol25, skol12(
% 19.40/19.79 skol25, skol27 ), skol25, skol27 ) }.
% 19.40/19.79 parent0: (53819) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 19.40/19.79 skol27 ), skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53820) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 19.40/19.79 , skol27 ), skol25, skol27 ), alpha1( skol25, skol25, skol27 ) }.
% 19.40/19.79 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 19.40/19.79 T, X, Z ), alpha1( X, Y, Z ) }.
% 19.40/19.79 parent1[0]: (4864) {G4,W7,D3,L1,V0,M1} R(4854,7) { perp( skol25, skol12(
% 19.40/19.79 skol25, skol27 ), skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol25
% 19.40/19.79 Z := skol27
% 19.40/19.79 T := skol12( skol25, skol27 )
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53821) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol27 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[0]: (53820) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 19.40/19.79 , skol27 ), skol25, skol27 ), alpha1( skol25, skol25, skol27 ) }.
% 19.40/19.79 parent1[0]: (4864) {G4,W7,D3,L1,V0,M1} R(4854,7) { perp( skol25, skol12(
% 19.40/19.79 skol25, skol27 ), skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (5014) {G5,W4,D2,L1,V0,M1} R(4864,96);r(4864) { alpha1( skol25
% 19.40/19.79 , skol25, skol27 ) }.
% 19.40/19.79 parent0: (53821) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol27 )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53822) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 19.40/19.79 skol27 ), skol27, skol25 ) }.
% 19.40/19.79 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 19.40/19.79 T, Z ) }.
% 19.40/19.79 parent1[0]: (4864) {G4,W7,D3,L1,V0,M1} R(4854,7) { perp( skol25, skol12(
% 19.40/19.79 skol25, skol27 ), skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol12( skol25, skol27 )
% 19.40/19.79 Z := skol25
% 19.40/19.79 T := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (5022) {G5,W7,D3,L1,V0,M1} R(4864,6) { perp( skol25, skol12(
% 19.40/19.79 skol25, skol27 ), skol27, skol25 ) }.
% 19.40/19.79 parent0: (53822) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 19.40/19.79 skol27 ), skol27, skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53823) {G6,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[0]: (4321) {G11,W8,D2,L2,V3,M2} R(97,404) { ! alpha1( X, Y, Z ),
% 19.40/19.79 coll( X, X, Z ) }.
% 19.40/19.79 parent1[0]: (5014) {G5,W4,D2,L1,V0,M1} R(4864,96);r(4864) { alpha1( skol25
% 19.40/19.79 , skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol25
% 19.40/19.79 Z := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (5176) {G12,W4,D2,L1,V0,M1} R(5014,4321) { coll( skol25,
% 19.40/19.79 skol25, skol27 ) }.
% 19.40/19.79 parent0: (53823) {G6,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53824) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol25,
% 19.40/19.79 skol12( skol25, skol27 ) ) }.
% 19.40/19.79 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.40/19.79 X, Y ) }.
% 19.40/19.79 parent1[0]: (5022) {G5,W7,D3,L1,V0,M1} R(4864,6) { perp( skol25, skol12(
% 19.40/19.79 skol25, skol27 ), skol27, skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol12( skol25, skol27 )
% 19.40/19.79 Z := skol27
% 19.40/19.79 T := skol25
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (6405) {G6,W7,D3,L1,V0,M1} R(5022,7) { perp( skol27, skol25,
% 19.40/19.79 skol25, skol12( skol25, skol27 ) ) }.
% 19.40/19.79 parent0: (53824) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol25,
% 19.40/19.79 skol12( skol25, skol27 ) ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53825) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol12(
% 19.40/19.79 skol25, skol27 ), skol25 ) }.
% 19.40/19.79 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 19.40/19.79 T, Z ) }.
% 19.40/19.79 parent1[0]: (6405) {G6,W7,D3,L1,V0,M1} R(5022,7) { perp( skol27, skol25,
% 19.40/19.79 skol25, skol12( skol25, skol27 ) ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol27
% 19.40/19.79 Y := skol25
% 19.40/19.79 Z := skol25
% 19.40/19.79 T := skol12( skol25, skol27 )
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (6417) {G7,W7,D3,L1,V0,M1} R(6405,6) { perp( skol27, skol25,
% 19.40/19.79 skol12( skol25, skol27 ), skol25 ) }.
% 19.40/19.79 parent0: (53825) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol12(
% 19.40/19.79 skol25, skol27 ), skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53827) {G1,W14,D3,L2,V1,M2} { ! perp( skol12( skol25, skol27
% 19.40/19.79 ), skol25, skol27, skol25 ), coll( skol10( X, skol27, skol25 ), skol25,
% 19.40/19.79 skol27 ) }.
% 19.40/19.79 parent0[1]: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 19.40/19.79 T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 19.40/19.79 parent1[0]: (6417) {G7,W7,D3,L1,V0,M1} R(6405,6) { perp( skol27, skol25,
% 19.40/19.79 skol12( skol25, skol27 ), skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol12( skol25, skol27 )
% 19.40/19.79 Y := skol27
% 19.40/19.79 Z := skol25
% 19.40/19.79 T := skol25
% 19.40/19.79 U := X
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53829) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol27, skol25
% 19.40/19.79 ), skol25, skol27 ) }.
% 19.40/19.79 parent0[0]: (53827) {G1,W14,D3,L2,V1,M2} { ! perp( skol12( skol25, skol27
% 19.40/19.79 ), skol25, skol27, skol25 ), coll( skol10( X, skol27, skol25 ), skol25,
% 19.40/19.79 skol27 ) }.
% 19.40/19.79 parent1[0]: (4844) {G2,W7,D3,L1,V0,M1} R(4828,6) { perp( skol12( skol25,
% 19.40/19.79 skol27 ), skol25, skol27, skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (6425) {G8,W7,D3,L1,V1,M1} R(6417,94);r(4844) { coll( skol10(
% 19.40/19.79 X, skol27, skol25 ), skol25, skol27 ) }.
% 19.40/19.79 parent0: (53829) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol27, skol25 ),
% 19.40/19.79 skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53830) {G1,W7,D3,L1,V1,M1} { coll( skol25, skol10( X, skol27
% 19.40/19.79 , skol25 ), skol27 ) }.
% 19.40/19.79 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.40/19.79 }.
% 19.40/19.79 parent1[0]: (6425) {G8,W7,D3,L1,V1,M1} R(6417,94);r(4844) { coll( skol10( X
% 19.40/19.79 , skol27, skol25 ), skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol10( X, skol27, skol25 )
% 19.40/19.79 Y := skol25
% 19.40/19.79 Z := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (6854) {G9,W7,D3,L1,V1,M1} R(6425,1) { coll( skol25, skol10( X
% 19.40/19.79 , skol27, skol25 ), skol27 ) }.
% 19.40/19.79 parent0: (53830) {G1,W7,D3,L1,V1,M1} { coll( skol25, skol10( X, skol27,
% 19.40/19.79 skol25 ), skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53831) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol27, skol12(
% 19.40/19.79 skol26, skol27 ), skol26 ) }.
% 19.40/19.79 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.40/19.79 X, Y ) }.
% 19.40/19.79 parent1[0]: (4830) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol26,
% 19.40/19.79 skol27 ), skol26, skol26, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol12( skol26, skol27 )
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (7739) {G2,W7,D3,L1,V0,M1} R(4830,7) { perp( skol26, skol27,
% 19.40/19.79 skol12( skol26, skol27 ), skol26 ) }.
% 19.40/19.79 parent0: (53831) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol27, skol12(
% 19.40/19.79 skol26, skol27 ), skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53832) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol27, skol26,
% 19.40/19.79 skol12( skol26, skol27 ) ) }.
% 19.40/19.79 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 19.40/19.79 T, Z ) }.
% 19.40/19.79 parent1[0]: (7739) {G2,W7,D3,L1,V0,M1} R(4830,7) { perp( skol26, skol27,
% 19.40/19.79 skol12( skol26, skol27 ), skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol27
% 19.40/19.79 Z := skol12( skol26, skol27 )
% 19.40/19.79 T := skol26
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (7750) {G3,W7,D3,L1,V0,M1} R(7739,6) { perp( skol26, skol27,
% 19.40/19.79 skol26, skol12( skol26, skol27 ) ) }.
% 19.40/19.79 parent0: (53832) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol27, skol26,
% 19.40/19.79 skol12( skol26, skol27 ) ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53833) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 19.40/19.79 skol27 ), skol26, skol27 ) }.
% 19.40/19.79 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.40/19.79 X, Y ) }.
% 19.40/19.79 parent1[0]: (7750) {G3,W7,D3,L1,V0,M1} R(7739,6) { perp( skol26, skol27,
% 19.40/19.79 skol26, skol12( skol26, skol27 ) ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol27
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := skol12( skol26, skol27 )
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (7760) {G4,W7,D3,L1,V0,M1} R(7750,7) { perp( skol26, skol12(
% 19.40/19.79 skol26, skol27 ), skol26, skol27 ) }.
% 19.40/19.79 parent0: (53833) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 19.40/19.79 skol27 ), skol26, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53834) {G1,W11,D3,L2,V0,M2} { ! perp( skol26, skol12( skol26
% 19.40/19.79 , skol27 ), skol26, skol27 ), alpha1( skol26, skol26, skol27 ) }.
% 19.40/19.79 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 19.40/19.79 T, X, Z ), alpha1( X, Y, Z ) }.
% 19.40/19.79 parent1[0]: (7760) {G4,W7,D3,L1,V0,M1} R(7750,7) { perp( skol26, skol12(
% 19.40/19.79 skol26, skol27 ), skol26, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := skol27
% 19.40/19.79 T := skol12( skol26, skol27 )
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53835) {G2,W4,D2,L1,V0,M1} { alpha1( skol26, skol26, skol27 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[0]: (53834) {G1,W11,D3,L2,V0,M2} { ! perp( skol26, skol12( skol26
% 19.40/19.79 , skol27 ), skol26, skol27 ), alpha1( skol26, skol26, skol27 ) }.
% 19.40/19.79 parent1[0]: (7760) {G4,W7,D3,L1,V0,M1} R(7750,7) { perp( skol26, skol12(
% 19.40/19.79 skol26, skol27 ), skol26, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (7882) {G5,W4,D2,L1,V0,M1} R(7760,96);r(7760) { alpha1( skol26
% 19.40/19.79 , skol26, skol27 ) }.
% 19.40/19.79 parent0: (53835) {G2,W4,D2,L1,V0,M1} { alpha1( skol26, skol26, skol27 )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53836) {G6,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol26 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[0]: (4320) {G11,W8,D2,L2,V3,M2} R(97,405) { ! alpha1( X, Y, Z ),
% 19.40/19.79 coll( Z, Z, X ) }.
% 19.40/19.79 parent1[0]: (7882) {G5,W4,D2,L1,V0,M1} R(7760,96);r(7760) { alpha1( skol26
% 19.40/19.79 , skol26, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (7895) {G12,W4,D2,L1,V0,M1} R(7882,4320) { coll( skol27,
% 19.40/19.79 skol27, skol26 ) }.
% 19.40/19.79 parent0: (53836) {G6,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53837) {G2,W12,D2,L3,V2,M3} { coll( skol26, X, skol27 ), !
% 19.40/19.79 coll( X, Y, skol27 ), ! coll( X, Y, skol27 ) }.
% 19.40/19.79 parent0[0]: (172) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z
% 19.40/19.79 , T, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 19.40/19.79 parent1[0]: (7895) {G12,W4,D2,L1,V0,M1} R(7882,4320) { coll( skol27, skol27
% 19.40/19.79 , skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol27
% 19.40/19.79 Y := skol27
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := X
% 19.40/19.79 U := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 factor: (53840) {G2,W8,D2,L2,V2,M2} { coll( skol26, X, skol27 ), ! coll( X
% 19.40/19.79 , Y, skol27 ) }.
% 19.40/19.79 parent0[1, 2]: (53837) {G2,W12,D2,L3,V2,M3} { coll( skol26, X, skol27 ), !
% 19.40/19.79 coll( X, Y, skol27 ), ! coll( X, Y, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (8955) {G13,W8,D2,L2,V2,M2} R(172,7895);f { coll( skol26, X,
% 19.40/19.79 skol27 ), ! coll( X, Y, skol27 ) }.
% 19.40/19.79 parent0: (53840) {G2,W8,D2,L2,V2,M2} { coll( skol26, X, skol27 ), ! coll(
% 19.40/19.79 X, Y, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 1 ==> 1
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53841) {G10,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol27 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[1]: (8955) {G13,W8,D2,L2,V2,M2} R(172,7895);f { coll( skol26, X,
% 19.40/19.79 skol27 ), ! coll( X, Y, skol27 ) }.
% 19.40/19.79 parent1[0]: (6854) {G9,W7,D3,L1,V1,M1} R(6425,1) { coll( skol25, skol10( X
% 19.40/19.79 , skol27, skol25 ), skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol10( X, skol27, skol25 )
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (9197) {G14,W4,D2,L1,V0,M1} R(8955,6854) { coll( skol26,
% 19.40/19.79 skol25, skol27 ) }.
% 19.40/19.79 parent0: (53841) {G10,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53842) {G11,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[1]: (402) {G10,W8,D2,L2,V3,M2} R(401,397) { coll( X, X, Y ), ! coll
% 19.40/19.79 ( Y, X, Z ) }.
% 19.40/19.79 parent1[0]: (9197) {G14,W4,D2,L1,V0,M1} R(8955,6854) { coll( skol26, skol25
% 19.40/19.79 , skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (9356) {G15,W4,D2,L1,V0,M1} R(9197,402) { coll( skol25, skol25
% 19.40/19.79 , skol26 ) }.
% 19.40/19.79 parent0: (53842) {G11,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53843) {G6,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[0]: (287) {G5,W8,D2,L2,V1,M2} R(272,2) { ! coll( skol25, skol25, X
% 19.40/19.79 ), coll( skol20, X, skol25 ) }.
% 19.40/19.79 parent1[0]: (9356) {G15,W4,D2,L1,V0,M1} R(9197,402) { coll( skol25, skol25
% 19.40/19.79 , skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (17661) {G16,W4,D2,L1,V0,M1} R(287,9356) { coll( skol20,
% 19.40/19.79 skol26, skol25 ) }.
% 19.40/19.79 parent0: (53843) {G6,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53844) {G11,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[1]: (402) {G10,W8,D2,L2,V3,M2} R(401,397) { coll( X, X, Y ), ! coll
% 19.40/19.79 ( Y, X, Z ) }.
% 19.40/19.79 parent1[0]: (17661) {G16,W4,D2,L1,V0,M1} R(287,9356) { coll( skol20, skol26
% 19.40/19.79 , skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol20
% 19.40/19.79 Z := skol25
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (17757) {G17,W4,D2,L1,V0,M1} R(17661,402) { coll( skol26,
% 19.40/19.79 skol26, skol20 ) }.
% 19.40/19.79 parent0: (53844) {G11,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53845) {G6,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol25 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[0]: (288) {G5,W8,D2,L2,V1,M2} R(272,2) { ! coll( skol25, skol25, X
% 19.40/19.79 ), coll( X, skol20, skol25 ) }.
% 19.40/19.79 parent1[0]: (5176) {G12,W4,D2,L1,V0,M1} R(5014,4321) { coll( skol25, skol25
% 19.40/19.79 , skol27 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol27
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (17841) {G13,W4,D2,L1,V0,M1} R(288,5176) { coll( skol27,
% 19.40/19.79 skol20, skol25 ) }.
% 19.40/19.79 parent0: (53845) {G6,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53846) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol20 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.40/19.79 }.
% 19.40/19.79 parent1[0]: (17841) {G13,W4,D2,L1,V0,M1} R(288,5176) { coll( skol27, skol20
% 19.40/19.79 , skol25 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol27
% 19.40/19.79 Y := skol20
% 19.40/19.79 Z := skol25
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (18433) {G14,W4,D2,L1,V0,M1} R(17841,0) { coll( skol27, skol25
% 19.40/19.79 , skol20 ) }.
% 19.40/19.79 parent0: (53846) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53847) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol26,
% 19.40/19.79 skol20 ) }.
% 19.40/19.79 parent0[0]: (1451) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol27, skol25,
% 19.40/19.79 skol20 ), perp( skol25, skol26, skol26, skol20 ) }.
% 19.40/19.79 parent1[0]: (18433) {G14,W4,D2,L1,V0,M1} R(17841,0) { coll( skol27, skol25
% 19.40/19.79 , skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (20034) {G15,W5,D2,L1,V0,M1} S(1451);r(18433) { perp( skol25,
% 19.40/19.79 skol26, skol26, skol20 ) }.
% 19.40/19.79 parent0: (53847) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol26,
% 19.40/19.79 skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53848) {G3,W5,D2,L1,V0,M1} { para( skol26, skol20, skol26,
% 19.40/19.79 skol20 ) }.
% 19.40/19.79 parent0[0]: (286) {G2,W10,D2,L2,V4,M2} F(274) { ! perp( X, Y, Z, T ), para
% 19.40/19.79 ( Z, T, Z, T ) }.
% 19.40/19.79 parent1[0]: (20034) {G15,W5,D2,L1,V0,M1} S(1451);r(18433) { perp( skol25,
% 19.40/19.79 skol26, skol26, skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol25
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := skol20
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (23142) {G16,W5,D2,L1,V0,M1} R(20034,286) { para( skol26,
% 19.40/19.79 skol20, skol26, skol20 ) }.
% 19.40/19.79 parent0: (53848) {G3,W5,D2,L1,V0,M1} { para( skol26, skol20, skol26,
% 19.40/19.79 skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53849) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol20, X
% 19.40/19.79 , Y, skol26, skol20 ) }.
% 19.40/19.79 parent0[0]: (762) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 19.40/19.79 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 19.40/19.79 parent1[0]: (23142) {G16,W5,D2,L1,V0,M1} R(20034,286) { para( skol26,
% 19.40/19.79 skol20, skol26, skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol20
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := skol20
% 19.40/19.79 U := X
% 19.40/19.79 W := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (44849) {G17,W9,D2,L1,V2,M1} R(762,23142) { eqangle( X, Y,
% 19.40/19.79 skol26, skol20, X, Y, skol26, skol20 ) }.
% 19.40/19.79 parent0: (53849) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol20, X, Y
% 19.40/19.79 , skol26, skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53850) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol20, skol26,
% 19.40/19.79 skol26 ), ! eqangle( skol26, X, skol26, skol20, skol26, X, skol26, skol20
% 19.40/19.79 ) }.
% 19.40/19.79 parent0[0]: (811) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 19.40/19.79 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 19.40/19.79 parent1[0]: (17757) {G17,W4,D2,L1,V0,M1} R(17661,402) { coll( skol26,
% 19.40/19.79 skol26, skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := skol20
% 19.40/19.79 T := X
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53851) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol20, skol26,
% 19.40/19.79 skol26 ) }.
% 19.40/19.79 parent0[1]: (53850) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol20, skol26,
% 19.40/19.79 skol26 ), ! eqangle( skol26, X, skol26, skol20, skol26, X, skol26, skol20
% 19.40/19.79 ) }.
% 19.40/19.79 parent1[0]: (44849) {G17,W9,D2,L1,V2,M1} R(762,23142) { eqangle( X, Y,
% 19.40/19.79 skol26, skol20, X, Y, skol26, skol20 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (47345) {G18,W5,D2,L1,V1,M1} R(811,17757);r(44849) { cyclic( X
% 19.40/19.79 , skol20, skol26, skol26 ) }.
% 19.40/19.79 parent0: (53851) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol20, skol26, skol26 )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53852) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol26,
% 19.40/19.79 skol26 ) }.
% 19.40/19.79 parent0[1]: (357) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 19.40/19.79 cyclic( Y, X, T, Z ) }.
% 19.40/19.79 parent1[0]: (47345) {G18,W5,D2,L1,V1,M1} R(811,17757);r(44849) { cyclic( X
% 19.40/19.79 , skol20, skol26, skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol20
% 19.40/19.79 Y := X
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := skol26
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (47656) {G19,W5,D2,L1,V1,M1} R(47345,357) { cyclic( skol20, X
% 19.40/19.79 , skol26, skol26 ) }.
% 19.40/19.79 parent0: (53852) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol26, skol26 )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53853) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26,
% 19.40/19.79 skol26 ) }.
% 19.40/19.79 parent0[0]: (383) {G2,W10,D2,L2,V4,M2} F(374) { ! cyclic( X, Y, Z, T ),
% 19.40/19.79 cyclic( Z, Y, T, T ) }.
% 19.40/19.79 parent1[0]: (47656) {G19,W5,D2,L1,V1,M1} R(47345,357) { cyclic( skol20, X,
% 19.40/19.79 skol26, skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol20
% 19.40/19.79 Y := X
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := skol26
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (47668) {G20,W5,D2,L1,V1,M1} R(47656,383) { cyclic( skol26, X
% 19.40/19.79 , skol26, skol26 ) }.
% 19.40/19.79 parent0: (53853) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26, skol26 )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53854) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X,
% 19.40/19.79 skol26 ) }.
% 19.40/19.79 parent0[1]: (355) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 19.40/19.79 cyclic( Y, Z, X, T ) }.
% 19.40/19.79 parent1[0]: (47668) {G20,W5,D2,L1,V1,M1} R(47656,383) { cyclic( skol26, X,
% 19.40/19.79 skol26, skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := X
% 19.40/19.79 T := skol26
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (47690) {G21,W5,D2,L1,V1,M1} R(47668,355) { cyclic( skol26,
% 19.40/19.79 skol26, X, skol26 ) }.
% 19.40/19.79 parent0: (53854) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X, skol26 )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53855) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26,
% 19.40/19.79 X ) }.
% 19.40/19.79 parent0[0]: (342) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 19.40/19.79 cyclic( X, Z, T, Y ) }.
% 19.40/19.79 parent1[0]: (47668) {G20,W5,D2,L1,V1,M1} R(47656,383) { cyclic( skol26, X,
% 19.40/19.79 skol26, skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := X
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := skol26
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (47691) {G21,W5,D2,L1,V1,M1} R(47668,342) { cyclic( skol26,
% 19.40/19.79 skol26, skol26, X ) }.
% 19.40/19.79 parent0: (53855) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26, X )
% 19.40/19.79 }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53857) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 19.40/19.79 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 19.40/19.79 parent0[2]: (379) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.40/19.79 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.40/19.79 parent1[0]: (47690) {G21,W5,D2,L1,V1,M1} R(47668,355) { cyclic( skol26,
% 19.40/19.79 skol26, X, skol26 ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := skol26
% 19.40/19.79 T := X
% 19.40/19.79 U := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53858) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y )
% 19.40/19.79 }.
% 19.40/19.79 parent0[0]: (53857) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 19.40/19.79 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 19.40/19.79 parent1[0]: (47691) {G21,W5,D2,L1,V1,M1} R(47668,342) { cyclic( skol26,
% 19.40/19.79 skol26, skol26, X ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (47696) {G22,W5,D2,L1,V2,M1} R(47690,379);r(47691) { cyclic(
% 19.40/19.79 skol26, skol26, X, Y ) }.
% 19.40/19.79 parent0: (53858) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53859) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 19.40/19.79 cyclic( skol26, skol26, Z, X ) }.
% 19.40/19.79 parent0[0]: (379) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.40/19.79 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.40/19.79 parent1[0]: (47696) {G22,W5,D2,L1,V2,M1} R(47690,379);r(47691) { cyclic(
% 19.40/19.79 skol26, skol26, X, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := skol26
% 19.40/19.79 Z := X
% 19.40/19.79 T := Y
% 19.40/19.79 U := Z
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53861) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 19.40/19.79 parent0[1]: (53859) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 19.40/19.79 cyclic( skol26, skol26, Z, X ) }.
% 19.40/19.79 parent1[0]: (47696) {G22,W5,D2,L1,V2,M1} R(47690,379);r(47691) { cyclic(
% 19.40/19.79 skol26, skol26, X, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := Z
% 19.40/19.79 Y := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (48066) {G23,W5,D2,L1,V3,M1} R(47696,379);r(47696) { cyclic(
% 19.40/19.79 skol26, X, Y, Z ) }.
% 19.40/19.79 parent0: (53861) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53862) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 19.40/19.79 ( skol26, X, T, Y ) }.
% 19.40/19.79 parent0[0]: (379) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.40/19.79 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.40/19.79 parent1[0]: (48066) {G23,W5,D2,L1,V3,M1} R(47696,379);r(47696) { cyclic(
% 19.40/19.79 skol26, X, Y, Z ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := skol26
% 19.40/19.79 Y := X
% 19.40/19.79 Z := Y
% 19.40/19.79 T := Z
% 19.40/19.79 U := T
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53864) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 19.40/19.79 parent0[1]: (53862) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 19.40/19.79 ( skol26, X, T, Y ) }.
% 19.40/19.79 parent1[0]: (48066) {G23,W5,D2,L1,V3,M1} R(47696,379);r(47696) { cyclic(
% 19.40/19.79 skol26, X, Y, Z ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 T := T
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := T
% 19.40/19.79 Z := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (48085) {G24,W5,D2,L1,V4,M1} R(48066,379);r(48066) { cyclic( X
% 19.40/19.79 , Y, Z, T ) }.
% 19.40/19.79 parent0: (53864) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 T := T
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53867) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 19.40/19.79 , Y, X, Y ) }.
% 19.40/19.79 parent0[0]: (919) {G2,W15,D2,L3,V3,M3} F(887) { ! cyclic( X, Y, Z, X ), !
% 19.40/19.79 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.40/19.79 parent1[0]: (48085) {G24,W5,D2,L1,V4,M1} R(48066,379);r(48066) { cyclic( X
% 19.40/19.79 , Y, Z, T ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 T := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53869) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 19.40/19.79 parent0[0]: (53867) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 19.40/19.79 , Y, X, Y ) }.
% 19.40/19.79 parent1[0]: (48085) {G24,W5,D2,L1,V4,M1} R(48066,379);r(48066) { cyclic( X
% 19.40/19.79 , Y, Z, T ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 T := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (52878) {G25,W5,D2,L1,V2,M1} S(919);r(48085);r(48085) { cong(
% 19.40/19.79 X, Y, X, Y ) }.
% 19.40/19.79 parent0: (53869) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53870) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 19.40/19.79 X, Y, Z ) }.
% 19.40/19.79 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 19.40/19.79 T, Y, T ), perp( X, Y, Z, T ) }.
% 19.40/19.79 parent1[0]: (52878) {G25,W5,D2,L1,V2,M1} S(919);r(48085);r(48085) { cong( X
% 19.40/19.79 , Y, X, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := X
% 19.40/19.79 Z := Y
% 19.40/19.79 T := Z
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53872) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 19.40/19.79 parent0[0]: (53870) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 19.40/19.79 X, Y, Z ) }.
% 19.40/19.79 parent1[0]: (52878) {G25,W5,D2,L1,V2,M1} S(919);r(48085);r(48085) { cong( X
% 19.40/19.79 , Y, X, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Z
% 19.40/19.79 Z := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (52895) {G26,W5,D2,L1,V3,M1} R(52878,56);r(52878) { perp( X, X
% 19.40/19.79 , Z, Y ) }.
% 19.40/19.79 parent0: (53872) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53873) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 19.40/19.79 X, T, U ) }.
% 19.40/19.79 parent0[0]: (274) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 19.40/19.79 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 19.40/19.79 parent1[0]: (52895) {G26,W5,D2,L1,V3,M1} R(52878,56);r(52878) { perp( X, X
% 19.40/19.79 , Z, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := X
% 19.40/19.79 Z := Y
% 19.40/19.79 T := Z
% 19.40/19.79 U := T
% 19.40/19.79 W := U
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Z
% 19.40/19.79 Z := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53875) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 19.40/19.79 parent0[1]: (53873) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 19.40/19.79 X, T, U ) }.
% 19.40/19.79 parent1[0]: (52895) {G26,W5,D2,L1,V3,M1} R(52878,56);r(52878) { perp( X, X
% 19.40/19.79 , Z, Y ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := U
% 19.40/19.79 Y := Z
% 19.40/19.79 Z := T
% 19.40/19.79 T := X
% 19.40/19.79 U := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := U
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := X
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (52924) {G27,W5,D2,L1,V4,M1} R(52895,274);r(52895) { para( X,
% 19.40/19.79 Y, Z, T ) }.
% 19.40/19.79 parent0: (53875) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := Z
% 19.40/19.79 T := T
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 0 ==> 0
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53876) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol20, skol24 )
% 19.40/19.79 }.
% 19.40/19.79 parent0[0]: (366) {G2,W10,D2,L2,V2,M2} R(233,5) { ! para( skol23, skol22, X
% 19.40/19.79 , Y ), ! para( X, Y, skol20, skol24 ) }.
% 19.40/19.79 parent1[0]: (52924) {G27,W5,D2,L1,V4,M1} R(52895,274);r(52895) { para( X, Y
% 19.40/19.79 , Z, T ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := skol23
% 19.40/19.79 Y := skol22
% 19.40/19.79 Z := X
% 19.40/19.79 T := Y
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 resolution: (53878) {G4,W0,D0,L0,V0,M0} { }.
% 19.40/19.79 parent0[0]: (53876) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol20, skol24 )
% 19.40/19.79 }.
% 19.40/19.79 parent1[0]: (52924) {G27,W5,D2,L1,V4,M1} R(52895,274);r(52895) { para( X, Y
% 19.40/19.79 , Z, T ) }.
% 19.40/19.79 substitution0:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 end
% 19.40/19.79 substitution1:
% 19.40/19.79 X := X
% 19.40/19.79 Y := Y
% 19.40/19.79 Z := skol20
% 19.40/19.79 T := skol24
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 subsumption: (53097) {G28,W0,D0,L0,V0,M0} R(52924,366);r(52924) { }.
% 19.40/19.79 parent0: (53878) {G4,W0,D0,L0,V0,M0} { }.
% 19.40/19.79 substitution0:
% 19.40/19.79 end
% 19.40/19.79 permutation0:
% 19.40/19.79 end
% 19.40/19.79
% 19.40/19.79 Proof check complete!
% 19.40/19.79
% 19.40/19.79 Memory use:
% 19.40/19.79
% 19.40/19.79 space for terms: 729620
% 19.40/19.79 space for clauses: 2275638
% 19.40/19.79
% 19.40/19.79
% 19.40/19.79 clauses generated: 481073
% 19.40/19.79 clauses kept: 53098
% 19.40/19.79 clauses selected: 2970
% 19.40/19.79 clauses deleted: 8325
% 19.40/19.79 clauses inuse deleted: 183
% 19.40/19.79
% 19.40/19.79 subsentry: 27962693
% 19.40/19.79 literals s-matched: 16546002
% 19.40/19.79 literals matched: 9923139
% 19.40/19.79 full subsumption: 2770934
% 19.40/19.79
% 19.40/19.79 checksum: -488949158
% 19.40/19.79
% 19.40/19.79
% 19.40/19.79 Bliksem ended
%------------------------------------------------------------------------------