%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO638+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 02:55:16 EDT 2022
% Result : Theorem 5.34s 5.75s
% Output : Refutation 5.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO638+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n003.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 : Sat Jun 18 03:07:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 *** allocated 15000 integers for termspace/termends
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12
% 0.72/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.72/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.72/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.72/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.72/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.72/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.72/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.72/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.72/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.72/1.12 ( X, Y, Z, T ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.72/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.72/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.72/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.72/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.72/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.72/1.12 ( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.72/1.12 ( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.72/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.72/1.12 T ) }.
% 0.72/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.72/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.72/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.72/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.72/1.12 ) }.
% 0.72/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.72/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.72/1.12 }.
% 0.72/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.72/1.12 Z, Y ) }.
% 0.72/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.72/1.12 X, Z ) }.
% 0.72/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.72/1.12 U ) }.
% 0.72/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.72/1.12 , Z ), midp( Z, X, Y ) }.
% 0.72/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.72/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.72/1.12 Z, Y ) }.
% 0.72/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.72/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.72/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.72/1.12 ( Y, X, X, Z ) }.
% 0.72/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.72/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.72/1.12 , W ) }.
% 0.72/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.72/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.72/1.12 , Y ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.72/1.12 , X, Z, U, Y, Y, T ) }.
% 0.72/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.72/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.72/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.72/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.72/1.12 .
% 0.72/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.72/1.12 , Z, T ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.72/1.12 , Z, T ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.72/1.12 , Z, T ) }.
% 0.72/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.72/1.12 , W, Z, T ), Z, T ) }.
% 0.72/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.72/1.12 , Y, Z, T ), X, Y ) }.
% 0.72/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.72/1.12 , W, Z, T ), Z, T ) }.
% 0.72/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.12 skol2( X, Y, Z, T ) ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.72/1.12 , W, Z, T ), Z, T ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.12 skol3( X, Y, Z, T ) ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.72/1.12 , T ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.72/1.12 ) ) }.
% 0.72/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.72/1.12 skol5( W, Y, Z, T ) ) }.
% 0.72/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.72/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.72/1.12 , X, T ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.72/1.12 W, X, Z ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.72/1.12 , Y, T ) }.
% 0.72/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.72/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.72/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.72/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.72/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.72/1.12 Z, T ) ) }.
% 0.72/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.72/1.12 , T ) ) }.
% 0.72/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.72/1.12 , X, Y ) }.
% 0.72/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.72/1.12 ) }.
% 0.72/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.72/1.12 , Y ) }.
% 0.72/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.72/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.72/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.02/4.40 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.02/4.40 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.02/4.40 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.02/4.40 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.02/4.40 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.02/4.40 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.02/4.40 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.02/4.40 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.02/4.40 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.02/4.40 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.02/4.40 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.02/4.40 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.02/4.40 X, Y, Z ) }.
% 4.02/4.40 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.02/4.40 }.
% 4.02/4.40 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.02/4.40 ) }.
% 4.02/4.40 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.02/4.40 skol17( X, Y ), X, Y ) }.
% 4.02/4.40 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.02/4.40 }.
% 4.02/4.40 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.02/4.40 ) }.
% 4.02/4.40 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.02/4.40 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.02/4.40 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.02/4.40 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.02/4.40 { midp( skol26, skol24, skol25 ) }.
% 4.02/4.40 { circle( skol26, skol24, skol27, skol28 ) }.
% 4.02/4.40 { circle( skol26, skol24, skol29, skol30 ) }.
% 4.02/4.40 { perp( skol26, skol29, skol29, skol20 ) }.
% 4.02/4.40 { para( skol24, skol20, skol22, skol25 ) }.
% 4.02/4.40 { coll( skol22, skol29, skol20 ) }.
% 4.02/4.40 { midp( skol31, skol22, skol20 ) }.
% 4.02/4.40 { perp( skol23, skol31, skol24, skol25 ) }.
% 4.02/4.40 { coll( skol23, skol24, skol25 ) }.
% 4.02/4.40 { ! perp( skol22, skol23, skol20, skol23 ) }.
% 4.02/4.40
% 4.02/4.40 percentage equality = 0.008721, percentage horn = 0.928571
% 4.02/4.40 This is a problem with some equality
% 4.02/4.40
% 4.02/4.40
% 4.02/4.40
% 4.02/4.40 Options Used:
% 4.02/4.40
% 4.02/4.40 useres = 1
% 4.02/4.40 useparamod = 1
% 4.02/4.40 useeqrefl = 1
% 4.02/4.40 useeqfact = 1
% 4.02/4.40 usefactor = 1
% 4.02/4.40 usesimpsplitting = 0
% 4.02/4.40 usesimpdemod = 5
% 4.02/4.40 usesimpres = 3
% 4.02/4.40
% 4.02/4.40 resimpinuse = 1000
% 4.02/4.40 resimpclauses = 20000
% 4.02/4.40 substype = eqrewr
% 4.02/4.40 backwardsubs = 1
% 4.02/4.40 selectoldest = 5
% 4.02/4.40
% 4.02/4.40 litorderings [0] = split
% 4.02/4.40 litorderings [1] = extend the termordering, first sorting on arguments
% 4.02/4.40
% 4.02/4.40 termordering = kbo
% 4.02/4.40
% 4.02/4.40 litapriori = 0
% 4.02/4.40 termapriori = 1
% 4.02/4.40 litaposteriori = 0
% 4.02/4.40 termaposteriori = 0
% 4.02/4.40 demodaposteriori = 0
% 4.02/4.40 ordereqreflfact = 0
% 4.02/4.40
% 4.02/4.40 litselect = negord
% 4.02/4.40
% 4.02/4.40 maxweight = 15
% 4.02/4.40 maxdepth = 30000
% 4.02/4.40 maxlength = 115
% 4.02/4.40 maxnrvars = 195
% 4.02/4.40 excuselevel = 1
% 4.02/4.40 increasemaxweight = 1
% 4.02/4.40
% 4.02/4.40 maxselected = 10000000
% 4.02/4.40 maxnrclauses = 10000000
% 4.02/4.40
% 4.02/4.40 showgenerated = 0
% 4.02/4.40 showkept = 0
% 4.02/4.40 showselected = 0
% 4.02/4.40 showdeleted = 0
% 4.02/4.40 showresimp = 1
% 4.02/4.40 showstatus = 2000
% 4.02/4.40
% 4.02/4.40 prologoutput = 0
% 4.02/4.40 nrgoals = 5000000
% 4.02/4.40 totalproof = 1
% 4.02/4.40
% 4.02/4.40 Symbols occurring in the translation:
% 4.02/4.40
% 4.02/4.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.02/4.40 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 4.02/4.40 ! [4, 1] (w:0, o:38, a:1, s:1, b:0),
% 4.02/4.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.02/4.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.02/4.40 coll [38, 3] (w:1, o:71, a:1, s:1, b:0),
% 4.02/4.40 para [40, 4] (w:1, o:79, a:1, s:1, b:0),
% 4.02/4.40 perp [43, 4] (w:1, o:80, a:1, s:1, b:0),
% 4.02/4.40 midp [45, 3] (w:1, o:72, a:1, s:1, b:0),
% 4.02/4.40 cong [47, 4] (w:1, o:81, a:1, s:1, b:0),
% 4.02/4.40 circle [48, 4] (w:1, o:82, a:1, s:1, b:0),
% 4.02/4.40 cyclic [49, 4] (w:1, o:83, a:1, s:1, b:0),
% 4.02/4.40 eqangle [54, 8] (w:1, o:98, a:1, s:1, b:0),
% 4.02/4.40 eqratio [57, 8] (w:1, o:99, a:1, s:1, b:0),
% 4.02/4.40 simtri [59, 6] (w:1, o:95, a:1, s:1, b:0),
% 4.02/4.40 contri [60, 6] (w:1, o:96, a:1, s:1, b:0),
% 4.02/4.40 alpha1 [67, 3] (w:1, o:73, a:1, s:1, b:1),
% 4.02/4.40 alpha2 [68, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.02/4.40 skol1 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.02/4.40 skol2 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.02/4.40 skol3 [71, 4] (w:1, o:89, a:1, s:1, b:1),
% 4.02/4.40 skol4 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 4.02/4.40 skol5 [73, 4] (w:1, o:91, a:1, s:1, b:1),
% 4.02/4.40 skol6 [74, 6] (w:1, o:97, a:1, s:1, b:1),
% 5.34/5.75 skol7 [75, 2] (w:1, o:67, a:1, s:1, b:1),
% 5.34/5.75 skol8 [76, 4] (w:1, o:92, a:1, s:1, b:1),
% 5.34/5.75 skol9 [77, 4] (w:1, o:93, a:1, s:1, b:1),
% 5.34/5.75 skol10 [78, 3] (w:1, o:74, a:1, s:1, b:1),
% 5.34/5.75 skol11 [79, 3] (w:1, o:75, a:1, s:1, b:1),
% 5.34/5.75 skol12 [80, 2] (w:1, o:68, a:1, s:1, b:1),
% 5.34/5.75 skol13 [81, 5] (w:1, o:94, a:1, s:1, b:1),
% 5.34/5.75 skol14 [82, 3] (w:1, o:76, a:1, s:1, b:1),
% 5.34/5.75 skol15 [83, 3] (w:1, o:77, a:1, s:1, b:1),
% 5.34/5.75 skol16 [84, 3] (w:1, o:78, a:1, s:1, b:1),
% 5.34/5.75 skol17 [85, 2] (w:1, o:69, a:1, s:1, b:1),
% 5.34/5.75 skol18 [86, 2] (w:1, o:70, a:1, s:1, b:1),
% 5.34/5.75 skol19 [87, 4] (w:1, o:86, a:1, s:1, b:1),
% 5.34/5.75 skol20 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 5.34/5.75 skol21 [89, 4] (w:1, o:88, a:1, s:1, b:1),
% 5.34/5.75 skol22 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 5.34/5.75 skol23 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 5.34/5.75 skol24 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 5.34/5.75 skol25 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 5.34/5.75 skol26 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 5.34/5.75 skol27 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 5.34/5.75 skol28 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 5.34/5.75 skol29 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 5.34/5.75 skol30 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 5.34/5.75 skol31 [99, 0] (w:1, o:37, a:1, s:1, b:1).
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Starting Search:
% 5.34/5.75
% 5.34/5.75 *** allocated 15000 integers for clauses
% 5.34/5.75 *** allocated 22500 integers for clauses
% 5.34/5.75 *** allocated 33750 integers for clauses
% 5.34/5.75 *** allocated 50625 integers for clauses
% 5.34/5.75 *** allocated 22500 integers for termspace/termends
% 5.34/5.75 *** allocated 75937 integers for clauses
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 33750 integers for termspace/termends
% 5.34/5.75 *** allocated 113905 integers for clauses
% 5.34/5.75 *** allocated 50625 integers for termspace/termends
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 10022
% 5.34/5.75 Kept: 2032
% 5.34/5.75 Inuse: 326
% 5.34/5.75 Deleted: 0
% 5.34/5.75 Deletedinuse: 0
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 170857 integers for clauses
% 5.34/5.75 *** allocated 75937 integers for termspace/termends
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 256285 integers for clauses
% 5.34/5.75 *** allocated 113905 integers for termspace/termends
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 21801
% 5.34/5.75 Kept: 4037
% 5.34/5.75 Inuse: 461
% 5.34/5.75 Deleted: 0
% 5.34/5.75 Deletedinuse: 0
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 384427 integers for clauses
% 5.34/5.75 *** allocated 170857 integers for termspace/termends
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 34949
% 5.34/5.75 Kept: 6073
% 5.34/5.75 Inuse: 536
% 5.34/5.75 Deleted: 0
% 5.34/5.75 Deletedinuse: 0
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 576640 integers for clauses
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 48067
% 5.34/5.75 Kept: 8073
% 5.34/5.75 Inuse: 690
% 5.34/5.75 Deleted: 1
% 5.34/5.75 Deletedinuse: 0
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 256285 integers for termspace/termends
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 59298
% 5.34/5.75 Kept: 10105
% 5.34/5.75 Inuse: 872
% 5.34/5.75 Deleted: 728
% 5.34/5.75 Deletedinuse: 469
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 864960 integers for clauses
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 67169
% 5.34/5.75 Kept: 12137
% 5.34/5.75 Inuse: 977
% 5.34/5.75 Deleted: 784
% 5.34/5.75 Deletedinuse: 505
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 77455
% 5.34/5.75 Kept: 14139
% 5.34/5.75 Inuse: 1135
% 5.34/5.75 Deleted: 791
% 5.34/5.75 Deletedinuse: 506
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 384427 integers for termspace/termends
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 85282
% 5.34/5.75 Kept: 16142
% 5.34/5.75 Inuse: 1256
% 5.34/5.75 Deleted: 791
% 5.34/5.75 Deletedinuse: 506
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 1297440 integers for clauses
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 95971
% 5.34/5.75 Kept: 18176
% 5.34/5.75 Inuse: 1436
% 5.34/5.75 Deleted: 791
% 5.34/5.75 Deletedinuse: 506
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 Resimplifying clauses:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 105294
% 5.34/5.75 Kept: 20183
% 5.34/5.75 Inuse: 1582
% 5.34/5.75 Deleted: 6402
% 5.34/5.75 Deletedinuse: 506
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 115307
% 5.34/5.75 Kept: 22186
% 5.34/5.75 Inuse: 1762
% 5.34/5.75 Deleted: 6520
% 5.34/5.75 Deletedinuse: 618
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 125261
% 5.34/5.75 Kept: 24190
% 5.34/5.75 Inuse: 1928
% 5.34/5.75 Deleted: 6520
% 5.34/5.75 Deletedinuse: 618
% 5.34/5.75
% 5.34/5.75 *** allocated 576640 integers for termspace/termends
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 *** allocated 1946160 integers for clauses
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Intermediate Status:
% 5.34/5.75 Generated: 137525
% 5.34/5.75 Kept: 26192
% 5.34/5.75 Inuse: 2045
% 5.34/5.75 Deleted: 6528
% 5.34/5.75 Deletedinuse: 626
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75 Resimplifying inuse:
% 5.34/5.75 Done
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Bliksems!, er is een bewijs:
% 5.34/5.75 % SZS status Theorem
% 5.34/5.75 % SZS output start Refutation
% 5.34/5.75
% 5.34/5.75 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 5.34/5.75 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 5.34/5.75 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 5.34/5.75 , Z, X ) }.
% 5.34/5.75 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 5.34/5.75 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 5.34/5.75 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 5.34/5.75 para( X, Y, Z, T ) }.
% 5.34/5.75 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 5.34/5.75 perp( X, Y, Z, T ) }.
% 5.34/5.75 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 5.34/5.75 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 5.34/5.75 circle( T, X, Y, Z ) }.
% 5.34/5.75 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 5.34/5.75 }.
% 5.34/5.75 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 5.34/5.75 }.
% 5.34/5.75 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 5.34/5.75 }.
% 5.34/5.75 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 5.34/5.75 ), cyclic( X, Y, Z, T ) }.
% 5.34/5.75 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 5.34/5.75 , T, U, W ) }.
% 5.34/5.75 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 5.34/5.75 T, X, T, Y ) }.
% 5.34/5.75 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 5.34/5.75 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.34/5.75 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 5.34/5.75 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 5.34/5.75 , Y, Z, T ) }.
% 5.34/5.75 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 5.34/5.75 perp( X, Y, Y, Z ) }.
% 5.34/5.75 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 5.34/5.75 perp( X, Y, Z, T ) }.
% 5.34/5.75 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 5.34/5.75 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 5.34/5.75 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 5.34/5.75 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 5.34/5.75 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 5.34/5.75 , X, X, Y ) }.
% 5.34/5.75 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 5.34/5.75 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.34/5.75 (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol24, skol25 ) }.
% 5.34/5.75 (121) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol29, skol20 ) }.
% 5.34/5.75 (122) {G0,W4,D2,L1,V0,M1} I { midp( skol31, skol22, skol20 ) }.
% 5.34/5.75 (125) {G0,W5,D2,L1,V0,M1} I { ! perp( skol22, skol23, skol20, skol23 ) }.
% 5.34/5.75 (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 5.34/5.75 ) }.
% 5.34/5.75 (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 5.34/5.75 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.34/5.75 (163) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol22, skol20, skol29 ) }.
% 5.34/5.75 (166) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol20, skol22, skol29 ) }.
% 5.34/5.75 (167) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 5.34/5.75 (168) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 5.34/5.75 (173) {G3,W4,D2,L1,V0,M1} R(166,0) { coll( skol20, skol29, skol22 ) }.
% 5.34/5.75 (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 5.34/5.75 coll( Z, X, T ) }.
% 5.34/5.75 (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 5.34/5.75 (246) {G4,W4,D2,L1,V0,M1} R(197,173) { coll( skol22, skol20, skol22 ) }.
% 5.34/5.75 (247) {G3,W12,D2,L3,V4,M3} R(197,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 5.34/5.75 coll( X, Z, T ) }.
% 5.34/5.75 (260) {G4,W8,D2,L2,V3,M2} F(247) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 5.34/5.75 (276) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 5.34/5.75 ) }.
% 5.34/5.75 (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 5.34/5.75 ), ! perp( X, Y, U, W ) }.
% 5.34/5.75 (288) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 5.34/5.75 ), ! perp( U, W, Z, T ) }.
% 5.34/5.75 (300) {G2,W10,D2,L2,V4,M2} F(288) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 5.34/5.75 ) }.
% 5.34/5.75 (307) {G5,W4,D2,L1,V0,M1} R(246,0) { coll( skol22, skol22, skol20 ) }.
% 5.34/5.75 (326) {G1,W10,D2,L2,V2,M2} R(9,125) { ! para( skol22, skol23, X, Y ), !
% 5.34/5.75 perp( X, Y, skol20, skol23 ) }.
% 5.34/5.75 (334) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol25, skol24 ) }.
% 5.34/5.75 (363) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 5.34/5.75 , T, Y ) }.
% 5.34/5.75 (372) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 5.34/5.75 , X, T ) }.
% 5.34/5.75 (396) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 5.34/5.75 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.34/5.75 (505) {G5,W8,D2,L2,V3,M2} R(260,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 5.34/5.75 (520) {G6,W8,D2,L2,V3,M2} R(505,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 5.34/5.75 (521) {G6,W8,D2,L2,V3,M2} R(505,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 5.34/5.75 (525) {G7,W8,D2,L2,V3,M2} R(521,521) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 5.34/5.75 }.
% 5.34/5.75 (543) {G8,W12,D2,L3,V4,M3} R(525,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 5.34/5.75 , coll( T, Y, X ) }.
% 5.34/5.75 (544) {G9,W8,D2,L2,V3,M2} F(543) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 5.34/5.75 (548) {G10,W8,D2,L2,V3,M2} R(544,520) { coll( X, X, Y ), ! coll( Z, X, Y )
% 5.34/5.75 }.
% 5.34/5.75 (574) {G2,W8,D2,L2,V3,M2} R(69,167) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 5.34/5.75 }.
% 5.34/5.75 (581) {G11,W8,D2,L2,V3,M2} R(69,548) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 5.34/5.75 }.
% 5.34/5.75 (603) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol31, skol22, skol20 ) }.
% 5.34/5.75 (731) {G2,W8,D2,L2,V1,M2} R(603,2) { ! coll( skol31, skol22, X ), coll(
% 5.34/5.75 skol20, X, skol31 ) }.
% 5.34/5.75 (807) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 5.34/5.75 ), ! para( X, Z, X, Z ) }.
% 5.34/5.75 (921) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 5.34/5.75 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 5.34/5.75 (953) {G2,W15,D2,L3,V3,M3} F(921) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 5.34/5.75 , Z, Y ), cong( X, Y, X, Y ) }.
% 5.34/5.75 (986) {G3,W8,D2,L2,V1,M2} R(731,168) { coll( skol20, X, skol31 ), ! coll( X
% 5.34/5.75 , skol31, skol22 ) }.
% 5.34/5.75 (1878) {G4,W8,D2,L2,V1,M2} R(986,168) { ! coll( X, skol31, skol22 ), coll(
% 5.34/5.75 X, skol31, skol20 ) }.
% 5.34/5.75 (1896) {G5,W12,D2,L3,V2,M3} R(1878,2) { ! coll( X, skol31, skol22 ), ! coll
% 5.34/5.75 ( X, skol31, Y ), coll( skol20, Y, X ) }.
% 5.34/5.75 (1901) {G6,W8,D2,L2,V1,M2} F(1896) { ! coll( X, skol31, skol22 ), coll(
% 5.34/5.75 skol20, skol22, X ) }.
% 5.34/5.75 (2471) {G2,W5,D2,L1,V0,M1} R(68,334) { cong( skol26, skol25, skol26, skol24
% 5.34/5.75 ) }.
% 5.34/5.75 (2473) {G1,W5,D2,L1,V0,M1} R(68,122) { cong( skol31, skol22, skol31, skol20
% 5.34/5.75 ) }.
% 5.34/5.75 (3038) {G7,W8,D2,L2,V1,M2} R(1901,574) { coll( skol20, skol22, X ), ! midp
% 5.34/5.75 ( skol31, skol22, X ) }.
% 5.34/5.75 (7115) {G2,W5,D2,L1,V0,M1} R(128,2473) { circle( skol31, skol22, skol20,
% 5.34/5.75 skol20 ) }.
% 5.34/5.75 (7117) {G3,W5,D2,L1,V0,M1} R(128,2471) { circle( skol26, skol25, skol24,
% 5.34/5.75 skol24 ) }.
% 5.34/5.75 (7127) {G3,W5,D2,L1,V0,M1} R(7115,53);r(603) { perp( skol22, skol20, skol20
% 5.34/5.75 , skol20 ) }.
% 5.34/5.75 (7133) {G4,W12,D3,L2,V2,M2} R(7127,110) { ! coll( skol20, X, Y ), perp(
% 5.34/5.75 skol16( skol22, X, Y ), skol22, X, Y ) }.
% 5.34/5.75 (7892) {G4,W7,D3,L1,V0,M1} R(7117,100) { perp( skol12( skol25, skol26 ),
% 5.34/5.75 skol25, skol25, skol26 ) }.
% 5.34/5.75 (7945) {G8,W14,D3,L3,V2,M3} R(148,3038);r(307) { ! midp( X, skol22, skol20
% 5.34/5.75 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol31, skol22, skol20
% 5.34/5.75 ) }.
% 5.34/5.75 (8055) {G9,W6,D3,L1,V1,M1} F(7945);r(122) { midp( skol7( skol22, X ),
% 5.34/5.75 skol22, X ) }.
% 5.34/5.75 (8301) {G12,W4,D2,L1,V1,M1} R(8055,581) { coll( skol22, skol22, X ) }.
% 5.34/5.75 (8396) {G13,W4,D2,L1,V2,M1} R(8301,2);r(8301) { coll( Y, X, skol22 ) }.
% 5.34/5.75 (8421) {G14,W4,D2,L1,V2,M1} R(8396,168) { coll( X, skol22, Y ) }.
% 5.34/5.75 (8434) {G15,W4,D2,L1,V3,M1} R(8421,2);r(8421) { coll( Z, Y, X ) }.
% 5.34/5.75 (8620) {G5,W7,D3,L1,V0,M1} R(7892,7) { perp( skol25, skol26, skol12( skol25
% 5.34/5.75 , skol26 ), skol25 ) }.
% 5.34/5.75 (8629) {G6,W7,D3,L1,V0,M1} R(8620,6) { perp( skol25, skol26, skol25, skol12
% 5.34/5.75 ( skol25, skol26 ) ) }.
% 5.34/5.75 (8637) {G7,W7,D3,L1,V0,M1} R(8629,7) { perp( skol25, skol12( skol25, skol26
% 5.34/5.75 ), skol25, skol26 ) }.
% 5.34/5.75 (8646) {G8,W7,D3,L1,V0,M1} R(8637,6) { perp( skol25, skol12( skol25, skol26
% 5.34/5.75 ), skol26, skol25 ) }.
% 5.34/5.75 (8655) {G9,W7,D3,L1,V0,M1} R(8646,7) { perp( skol26, skol25, skol25, skol12
% 5.34/5.75 ( skol25, skol26 ) ) }.
% 5.34/5.75 (8657) {G16,W8,D3,L1,V2,M1} R(8655,110);r(8434) { perp( skol16( skol26, X,
% 5.34/5.75 Y ), skol26, X, Y ) }.
% 5.34/5.75 (10325) {G17,W8,D3,L1,V2,M1} R(8657,276) { perp( X, Y, skol26, skol16(
% 5.34/5.75 skol26, X, Y ) ) }.
% 5.34/5.75 (10726) {G18,W5,D2,L1,V2,M1} R(300,10325) { para( X, Y, X, Y ) }.
% 5.34/5.75 (20038) {G16,W8,D3,L1,V2,M1} S(7133);r(8434) { perp( skol16( skol22, X, Y )
% 5.34/5.75 , skol22, X, Y ) }.
% 5.34/5.75 (20128) {G19,W5,D2,L1,V3,M1} S(807);r(8434);r(10726) { cyclic( Z, Y, X, X )
% 5.34/5.75 }.
% 5.34/5.75 (20194) {G20,W5,D2,L1,V3,M1} R(20128,372) { cyclic( X, Y, Z, Y ) }.
% 5.34/5.75 (20196) {G20,W5,D2,L1,V3,M1} R(20128,363) { cyclic( X, Y, Y, Z ) }.
% 5.34/5.75 (20201) {G21,W5,D2,L1,V3,M1} R(20194,396);r(20196) { cyclic( Y, Y, Z, T )
% 5.34/5.75 }.
% 5.34/5.75 (20209) {G22,W5,D2,L1,V4,M1} R(20201,396);r(20201) { cyclic( X, Y, Z, T )
% 5.34/5.75 }.
% 5.34/5.75 (23639) {G17,W8,D3,L1,V0,M1} R(20038,326) { ! para( skol22, skol23, skol16
% 5.34/5.75 ( skol22, skol20, skol23 ), skol22 ) }.
% 5.34/5.75 (28119) {G23,W5,D2,L1,V2,M1} S(953);r(20209);r(20209) { cong( X, Y, X, Y )
% 5.34/5.75 }.
% 5.34/5.75 (28130) {G24,W5,D2,L1,V3,M1} R(28119,56);r(28119) { perp( X, X, Z, Y ) }.
% 5.34/5.75 (28167) {G25,W5,D2,L1,V4,M1} R(28130,287);r(28130) { para( X, Y, Z, T ) }.
% 5.34/5.75 (28179) {G26,W0,D0,L0,V0,M0} R(28167,23639) { }.
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 % SZS output end Refutation
% 5.34/5.75 found a proof!
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Unprocessed initial clauses:
% 5.34/5.75
% 5.34/5.75 (28181) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 5.34/5.75 (28182) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 5.34/5.75 (28183) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 5.34/5.75 ( Y, Z, X ) }.
% 5.34/5.75 (28184) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 5.34/5.75 }.
% 5.34/5.75 (28185) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 5.34/5.75 }.
% 5.34/5.75 (28186) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 5.34/5.75 , para( X, Y, Z, T ) }.
% 5.34/5.75 (28187) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 5.34/5.75 }.
% 5.34/5.75 (28188) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 5.34/5.75 }.
% 5.34/5.75 (28189) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 5.34/5.75 , para( X, Y, Z, T ) }.
% 5.34/5.75 (28190) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 5.34/5.75 , perp( X, Y, Z, T ) }.
% 5.34/5.75 (28191) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 5.34/5.75 (28192) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 5.34/5.75 , circle( T, X, Y, Z ) }.
% 5.34/5.75 (28193) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 5.34/5.75 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 5.34/5.75 (28194) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 5.34/5.75 ) }.
% 5.34/5.75 (28195) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 5.34/5.75 ) }.
% 5.34/5.75 (28196) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 5.34/5.75 ) }.
% 5.34/5.75 (28197) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 5.34/5.75 T ), cyclic( X, Y, Z, T ) }.
% 5.34/5.75 (28198) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 5.34/5.75 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 5.34/5.75 (28199) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 5.34/5.75 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 5.34/5.75 (28200) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 5.34/5.75 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 5.34/5.75 (28201) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 5.34/5.75 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 5.34/5.75 (28202) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 5.34/5.75 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 5.34/5.75 V1 ) }.
% 5.34/5.75 (28203) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 5.34/5.75 }.
% 5.34/5.75 (28204) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 5.34/5.75 }.
% 5.34/5.75 (28205) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 5.34/5.75 , cong( X, Y, Z, T ) }.
% 5.34/5.75 (28206) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 5.34/5.75 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 5.34/5.75 (28207) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 5.34/5.75 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 5.34/5.75 (28208) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 5.34/5.75 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 5.34/5.75 (28209) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 5.34/5.75 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 5.34/5.75 (28210) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 5.34/5.75 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 5.34/5.75 V1 ) }.
% 5.34/5.75 (28211) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 5.34/5.75 , Z, T, U, W ) }.
% 5.34/5.75 (28212) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 5.34/5.75 , Z, T, U, W ) }.
% 5.34/5.75 (28213) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 5.34/5.75 , Z, T, U, W ) }.
% 5.34/5.75 (28214) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 5.34/5.75 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 5.34/5.75 (28215) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 5.34/5.75 , Z, T, U, W ) }.
% 5.34/5.75 (28216) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 5.34/5.75 , Z, T, U, W ) }.
% 5.34/5.75 (28217) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 5.34/5.75 , Z, T, U, W ) }.
% 5.34/5.75 (28218) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 5.34/5.75 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 5.34/5.75 (28219) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 5.34/5.75 X, Y, Z, T ) }.
% 5.34/5.75 (28220) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 5.34/5.75 Z, T, U, W ) }.
% 5.34/5.75 (28221) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 5.34/5.75 , T, X, T, Y ) }.
% 5.34/5.75 (28222) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 5.34/5.75 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 5.34/5.75 (28223) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 5.34/5.75 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.34/5.75 (28224) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 5.34/5.75 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 5.34/5.75 , Y, Z, T ) }.
% 5.34/5.75 (28225) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 5.34/5.75 ( Z, T, X, Y ) }.
% 5.34/5.75 (28226) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 5.34/5.75 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 5.34/5.75 (28227) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 5.34/5.75 X, Y, Z, Y ) }.
% 5.34/5.75 (28228) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 5.34/5.75 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 5.34/5.75 (28229) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 5.34/5.75 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 5.34/5.75 (28230) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 5.34/5.75 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 5.34/5.75 (28231) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 5.34/5.75 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 5.34/5.75 (28232) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 5.34/5.75 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 5.34/5.75 (28233) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 5.34/5.75 cong( X, Z, Y, Z ) }.
% 5.34/5.75 (28234) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 5.34/5.75 perp( X, Y, Y, Z ) }.
% 5.34/5.75 (28235) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 5.34/5.75 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 5.34/5.75 (28236) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 5.34/5.75 cong( Z, X, Z, Y ) }.
% 5.34/5.75 (28237) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 5.34/5.75 , perp( X, Y, Z, T ) }.
% 5.34/5.75 (28238) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 5.34/5.75 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 5.34/5.75 (28239) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 5.34/5.75 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 5.34/5.75 , W ) }.
% 5.34/5.75 (28240) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 5.34/5.75 , X, Z, T, U, T, W ) }.
% 5.34/5.75 (28241) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 5.34/5.75 , Y, Z, T, U, U, W ) }.
% 5.34/5.75 (28242) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 5.34/5.75 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 5.34/5.75 (28243) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 5.34/5.75 , T ) }.
% 5.34/5.75 (28244) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 5.34/5.75 ( X, Z, Y, T ) }.
% 5.34/5.75 (28245) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 5.34/5.75 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 5.34/5.75 (28246) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 5.34/5.75 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 5.34/5.75 (28247) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 5.34/5.75 (28248) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 5.34/5.75 midp( X, Y, Z ) }.
% 5.34/5.75 (28249) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 5.34/5.75 (28250) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 5.34/5.75 (28251) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 5.34/5.75 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 5.34/5.75 (28252) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 5.34/5.75 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 5.34/5.75 (28253) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 5.34/5.75 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 5.34/5.75 (28254) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 5.34/5.75 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 5.34/5.75 (28255) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 5.34/5.75 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 5.34/5.75 (28256) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 5.34/5.75 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 5.34/5.75 (28257) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 5.34/5.75 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 5.34/5.75 (28258) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 5.34/5.75 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 5.34/5.75 (28259) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 5.34/5.75 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 5.34/5.75 (28260) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 5.34/5.75 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 5.34/5.75 (28261) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 5.34/5.75 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 5.34/5.75 (28262) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 5.34/5.75 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 5.34/5.75 (28263) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 5.34/5.75 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 5.34/5.75 (28264) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 5.34/5.75 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 5.34/5.75 (28265) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 5.34/5.75 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 5.34/5.75 (28266) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 5.34/5.75 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 5.34/5.75 , T ) ) }.
% 5.34/5.75 (28267) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 5.34/5.75 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 5.34/5.75 (28268) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 5.34/5.75 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 5.34/5.75 (28269) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 5.34/5.75 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 5.34/5.75 (28270) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 5.34/5.75 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 5.34/5.75 (28271) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 5.34/5.75 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 5.34/5.75 ) }.
% 5.34/5.75 (28272) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 5.34/5.75 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 5.34/5.75 }.
% 5.34/5.75 (28273) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 5.34/5.75 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 5.34/5.75 (28274) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 5.34/5.75 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 5.34/5.75 (28275) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 5.34/5.75 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 5.34/5.75 (28276) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 5.34/5.75 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 5.34/5.75 (28277) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 5.34/5.75 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 5.34/5.75 (28278) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 5.34/5.75 , alpha1( X, Y, Z ) }.
% 5.34/5.75 (28279) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 5.34/5.75 ), Z, X ) }.
% 5.34/5.75 (28280) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 5.34/5.75 , Z ), Z, X ) }.
% 5.34/5.75 (28281) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 5.34/5.75 alpha1( X, Y, Z ) }.
% 5.34/5.75 (28282) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 5.34/5.75 ), X, X, Y ) }.
% 5.34/5.75 (28283) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 5.34/5.75 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 5.34/5.75 ) ) }.
% 5.34/5.75 (28284) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 5.34/5.75 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.34/5.75 (28285) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 5.34/5.75 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 5.34/5.75 }.
% 5.34/5.75 (28286) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.34/5.75 (28287) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 5.34/5.75 }.
% 5.34/5.75 (28288) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 5.34/5.75 alpha2( X, Y, Z, T ) }.
% 5.34/5.75 (28289) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 5.34/5.75 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 5.34/5.75 (28290) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 5.34/5.75 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 5.34/5.75 (28291) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 5.34/5.75 coll( skol16( W, Y, Z ), Y, Z ) }.
% 5.34/5.75 (28292) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 5.34/5.75 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.34/5.75 (28293) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 5.34/5.75 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 5.34/5.75 (28294) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 5.34/5.75 , coll( X, Y, skol18( X, Y ) ) }.
% 5.34/5.75 (28295) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 5.34/5.75 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 5.34/5.75 (28296) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 5.34/5.75 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 5.34/5.75 }.
% 5.34/5.75 (28297) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 5.34/5.75 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 5.34/5.75 }.
% 5.34/5.75 (28298) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol24, skol25 ) }.
% 5.34/5.75 (28299) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol24, skol27, skol28 ) }.
% 5.34/5.75 (28300) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol24, skol29, skol30 ) }.
% 5.34/5.75 (28301) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol29, skol29, skol20 ) }.
% 5.34/5.75 (28302) {G0,W5,D2,L1,V0,M1} { para( skol24, skol20, skol22, skol25 ) }.
% 5.34/5.75 (28303) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol29, skol20 ) }.
% 5.34/5.75 (28304) {G0,W4,D2,L1,V0,M1} { midp( skol31, skol22, skol20 ) }.
% 5.34/5.75 (28305) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol31, skol24, skol25 ) }.
% 5.34/5.75 (28306) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol25 ) }.
% 5.34/5.75 (28307) {G0,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol20, skol23 ) }.
% 5.34/5.75
% 5.34/5.75
% 5.34/5.75 Total Proof:
% 5.34/5.75
% 5.34/5.75 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.34/5.75 }.
% 5.34/5.75 parent0: (28181) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.34/5.75 }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.34/5.75 }.
% 5.34/5.75 parent0: (28182) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.34/5.75 }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 5.34/5.75 Z ), coll( Y, Z, X ) }.
% 5.34/5.75 parent0: (28183) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.34/5.75 ), coll( Y, Z, X ) }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 T := T
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 2 ==> 2
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 5.34/5.75 , T, Z ) }.
% 5.34/5.75 parent0: (28187) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 5.34/5.75 T, Z ) }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 T := T
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 5.34/5.75 , X, Y ) }.
% 5.34/5.75 parent0: (28188) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.34/5.75 X, Y ) }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 T := T
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 5.34/5.75 W, Z, T ), para( X, Y, Z, T ) }.
% 5.34/5.75 parent0: (28189) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 5.34/5.75 , Z, T ), para( X, Y, Z, T ) }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 T := T
% 5.34/5.75 U := U
% 5.34/5.75 W := W
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 2 ==> 2
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 5.34/5.75 W, Z, T ), perp( X, Y, Z, T ) }.
% 5.34/5.75 parent0: (28190) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 5.34/5.75 , Z, T ), perp( X, Y, Z, T ) }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 T := T
% 5.34/5.75 U := U
% 5.34/5.75 W := W
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 2 ==> 2
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 5.34/5.75 ) }.
% 5.34/5.75 parent0: (28191) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 5.34/5.75 }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 5.34/5.75 , X, T, Z ), circle( T, X, Y, Z ) }.
% 5.34/5.75 parent0: (28192) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 5.34/5.75 , T, Z ), circle( T, X, Y, Z ) }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 T := T
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 2 ==> 2
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 5.34/5.75 X, Y, T, Z ) }.
% 5.34/5.75 parent0: (28194) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.34/5.75 , Y, T, Z ) }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 T := T
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 5.34/5.75 X, Z, Y, T ) }.
% 5.34/5.75 parent0: (28195) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.34/5.75 , Z, Y, T ) }.
% 5.34/5.75 substitution0:
% 5.34/5.75 X := X
% 5.34/5.75 Y := Y
% 5.34/5.75 Z := Z
% 5.34/5.75 T := T
% 5.34/5.75 end
% 5.34/5.75 permutation0:
% 5.34/5.75 0 ==> 0
% 5.34/5.75 1 ==> 1
% 5.34/5.75 end
% 5.34/5.75
% 5.34/5.75 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 5.34/5.76 Y, X, Z, T ) }.
% 5.34/5.76 parent0: (28196) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 5.34/5.76 , X, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 5.34/5.76 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 5.34/5.76 parent0: (28197) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 5.34/5.76 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 U := U
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 5.34/5.76 , Y, U, W, Z, T, U, W ) }.
% 5.34/5.76 parent0: (28220) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 5.34/5.76 Y, U, W, Z, T, U, W ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 U := U
% 5.34/5.76 W := W
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 5.34/5.76 ( Z, X, Z, Y, T, X, T, Y ) }.
% 5.34/5.76 parent0: (28221) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 5.34/5.76 , X, Z, Y, T, X, T, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 5.34/5.76 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.34/5.76 parent0: (28223) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 5.34/5.76 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 5.34/5.76 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 5.34/5.76 ), cong( X, Y, Z, T ) }.
% 5.34/5.76 parent0: (28224) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 5.34/5.76 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 5.34/5.76 , cong( X, Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 U := U
% 5.34/5.76 W := W
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 3 ==> 3
% 5.34/5.76 4 ==> 4
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 5.34/5.76 T, X, Z ), perp( X, Y, Y, Z ) }.
% 5.34/5.76 parent0: (28234) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 5.34/5.76 , X, Z ), perp( X, Y, Y, Z ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 5.34/5.76 , T, Y, T ), perp( X, Y, Z, T ) }.
% 5.34/5.76 parent0: (28237) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 5.34/5.76 , Y, T ), perp( X, Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 5.34/5.76 , Z ) }.
% 5.34/5.76 parent0: (28249) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 5.34/5.76 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 5.34/5.76 ) }.
% 5.34/5.76 parent0: (28250) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 5.34/5.76 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 5.34/5.76 ) }.
% 5.34/5.76 parent0: (28270) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 5.34/5.76 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 U := U
% 5.34/5.76 W := W
% 5.34/5.76 V0 := V0
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 3 ==> 3
% 5.34/5.76 4 ==> 4
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 5.34/5.76 skol12( X, Y ), X, X, Y ) }.
% 5.34/5.76 parent0: (28282) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 5.34/5.76 skol12( X, Y ), X, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 5.34/5.76 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.34/5.76 parent0: (28292) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 5.34/5.76 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 U := U
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol24, skol25 )
% 5.34/5.76 }.
% 5.34/5.76 parent0: (28298) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol24, skol25 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol29, skol20 )
% 5.34/5.76 }.
% 5.34/5.76 parent0: (28303) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol29, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol31, skol22, skol20 )
% 5.34/5.76 }.
% 5.34/5.76 parent0: (28304) {G0,W4,D2,L1,V0,M1} { midp( skol31, skol22, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (125) {G0,W5,D2,L1,V0,M1} I { ! perp( skol22, skol23, skol20,
% 5.34/5.76 skol23 ) }.
% 5.34/5.76 parent0: (28307) {G0,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol20,
% 5.34/5.76 skol23 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28828) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 5.34/5.76 , Z, Z ) }.
% 5.34/5.76 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 5.34/5.76 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Z
% 5.34/5.76 T := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 5.34/5.76 circle( X, Y, Z, Z ) }.
% 5.34/5.76 parent0: (28828) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 5.34/5.76 , Z, Z ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28829) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 5.34/5.76 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.34/5.76 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 5.34/5.76 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 5.34/5.76 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := X
% 5.34/5.76 T := Y
% 5.34/5.76 U := Z
% 5.34/5.76 W := X
% 5.34/5.76 V0 := T
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 5.34/5.76 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.34/5.76 parent0: (28829) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 5.34/5.76 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 3 ==> 3
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28832) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol29 )
% 5.34/5.76 }.
% 5.34/5.76 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol29, skol20 )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol22
% 5.34/5.76 Y := skol29
% 5.34/5.76 Z := skol20
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (163) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol22, skol20,
% 5.34/5.76 skol29 ) }.
% 5.34/5.76 parent0: (28832) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol29 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28833) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol29 )
% 5.34/5.76 }.
% 5.34/5.76 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.34/5.76 }.
% 5.34/5.76 parent1[0]: (163) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol22, skol20,
% 5.34/5.76 skol29 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol22
% 5.34/5.76 Y := skol20
% 5.34/5.76 Z := skol29
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (166) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol20, skol22,
% 5.34/5.76 skol29 ) }.
% 5.34/5.76 parent0: (28833) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol29 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28834) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 5.34/5.76 ) }.
% 5.34/5.76 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.34/5.76 }.
% 5.34/5.76 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 5.34/5.76 , Z, X ) }.
% 5.34/5.76 parent0: (28834) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28836) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 5.34/5.76 ) }.
% 5.34/5.76 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 5.34/5.76 , Z, X ) }.
% 5.34/5.76 parent0: (28836) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28837) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol29, skol22 )
% 5.34/5.76 }.
% 5.34/5.76 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 parent1[0]: (166) {G2,W4,D2,L1,V0,M1} R(1,163) { coll( skol20, skol22,
% 5.34/5.76 skol29 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol20
% 5.34/5.76 Y := skol22
% 5.34/5.76 Z := skol29
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (173) {G3,W4,D2,L1,V0,M1} R(166,0) { coll( skol20, skol29,
% 5.34/5.76 skol22 ) }.
% 5.34/5.76 parent0: (28837) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol29, skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28841) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 5.34/5.76 X ), ! coll( Z, T, Y ) }.
% 5.34/5.76 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.34/5.76 ), coll( Y, Z, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 5.34/5.76 ( X, Y, T ), coll( Z, X, T ) }.
% 5.34/5.76 parent0: (28841) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 5.34/5.76 , ! coll( Z, T, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := T
% 5.34/5.76 Z := X
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 2
% 5.34/5.76 1 ==> 0
% 5.34/5.76 2 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28843) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 5.34/5.76 }.
% 5.34/5.76 parent0[0, 1]: (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 5.34/5.76 coll( X, Y, T ), coll( Z, X, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z
% 5.34/5.76 , X, Z ) }.
% 5.34/5.76 parent0: (28843) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28844) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 )
% 5.34/5.76 }.
% 5.34/5.76 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z,
% 5.34/5.76 X, Z ) }.
% 5.34/5.76 parent1[0]: (173) {G3,W4,D2,L1,V0,M1} R(166,0) { coll( skol20, skol29,
% 5.34/5.76 skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol20
% 5.34/5.76 Y := skol29
% 5.34/5.76 Z := skol22
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (246) {G4,W4,D2,L1,V0,M1} R(197,173) { coll( skol22, skol20,
% 5.34/5.76 skol22 ) }.
% 5.34/5.76 parent0: (28844) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28845) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 5.34/5.76 X ), ! coll( Z, T, Y ) }.
% 5.34/5.76 parent0[0]: (197) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z,
% 5.34/5.76 X, Z ) }.
% 5.34/5.76 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.34/5.76 ), coll( Y, Z, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (247) {G3,W12,D2,L3,V4,M3} R(197,2) { coll( X, Y, X ), ! coll
% 5.34/5.76 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 5.34/5.76 parent0: (28845) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 5.34/5.76 , ! coll( Z, T, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 T := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28847) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 parent0[1, 2]: (247) {G3,W12,D2,L3,V4,M3} R(197,2) { coll( X, Y, X ), !
% 5.34/5.76 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (260) {G4,W8,D2,L2,V3,M2} F(247) { coll( X, Y, X ), ! coll( X
% 5.34/5.76 , Z, Y ) }.
% 5.34/5.76 parent0: (28847) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28849) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 5.34/5.76 T, X, Y ) }.
% 5.34/5.76 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 5.34/5.76 T, Z ) }.
% 5.34/5.76 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.34/5.76 X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := T
% 5.34/5.76 Z := X
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (276) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 5.34/5.76 ( Z, T, Y, X ) }.
% 5.34/5.76 parent0: (28849) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 5.34/5.76 X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := T
% 5.34/5.76 Z := X
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28850) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 5.34/5.76 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 5.34/5.76 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 5.34/5.76 , Z, T ), para( X, Y, Z, T ) }.
% 5.34/5.76 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.34/5.76 X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := U
% 5.34/5.76 T := W
% 5.34/5.76 U := Z
% 5.34/5.76 W := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := T
% 5.34/5.76 Z := X
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 5.34/5.76 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 5.34/5.76 parent0: (28850) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 5.34/5.76 U, W ), ! perp( Z, T, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := U
% 5.34/5.76 Y := W
% 5.34/5.76 Z := X
% 5.34/5.76 T := Y
% 5.34/5.76 U := Z
% 5.34/5.76 W := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28855) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 5.34/5.76 Y, U, W ), ! perp( U, W, Z, T ) }.
% 5.34/5.76 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 5.34/5.76 , Z, T ), para( X, Y, Z, T ) }.
% 5.34/5.76 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.34/5.76 X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := U
% 5.34/5.76 T := W
% 5.34/5.76 U := Z
% 5.34/5.76 W := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := U
% 5.34/5.76 Y := W
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (288) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 5.34/5.76 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 5.34/5.76 parent0: (28855) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 5.34/5.76 U, W ), ! perp( U, W, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 U := U
% 5.34/5.76 W := W
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28858) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 5.34/5.76 , Y ) }.
% 5.34/5.76 parent0[0, 2]: (288) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 5.34/5.76 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 U := X
% 5.34/5.76 W := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (300) {G2,W10,D2,L2,V4,M2} F(288) { ! perp( X, Y, Z, T ), para
% 5.34/5.76 ( X, Y, X, Y ) }.
% 5.34/5.76 parent0: (28858) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 5.34/5.76 X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28859) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 )
% 5.34/5.76 }.
% 5.34/5.76 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 parent1[0]: (246) {G4,W4,D2,L1,V0,M1} R(197,173) { coll( skol22, skol20,
% 5.34/5.76 skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol22
% 5.34/5.76 Y := skol20
% 5.34/5.76 Z := skol22
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (307) {G5,W4,D2,L1,V0,M1} R(246,0) { coll( skol22, skol22,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 parent0: (28859) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28860) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol23, X, Y )
% 5.34/5.76 , ! perp( X, Y, skol20, skol23 ) }.
% 5.34/5.76 parent0[0]: (125) {G0,W5,D2,L1,V0,M1} I { ! perp( skol22, skol23, skol20,
% 5.34/5.76 skol23 ) }.
% 5.34/5.76 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 5.34/5.76 , Z, T ), perp( X, Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := skol22
% 5.34/5.76 Y := skol23
% 5.34/5.76 Z := skol20
% 5.34/5.76 T := skol23
% 5.34/5.76 U := X
% 5.34/5.76 W := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (326) {G1,W10,D2,L2,V2,M2} R(9,125) { ! para( skol22, skol23,
% 5.34/5.76 X, Y ), ! perp( X, Y, skol20, skol23 ) }.
% 5.34/5.76 parent0: (28860) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol23, X, Y ), !
% 5.34/5.76 perp( X, Y, skol20, skol23 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28861) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol24 )
% 5.34/5.76 }.
% 5.34/5.76 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 5.34/5.76 }.
% 5.34/5.76 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol24, skol25 )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol25
% 5.34/5.76 Y := skol24
% 5.34/5.76 Z := skol26
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (334) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol25,
% 5.34/5.76 skol24 ) }.
% 5.34/5.76 parent0: (28861) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol24 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28863) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 5.34/5.76 ( X, Z, Y, T ) }.
% 5.34/5.76 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.34/5.76 , Y, T, Z ) }.
% 5.34/5.76 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.34/5.76 , Z, Y, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (363) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 5.34/5.76 cyclic( X, Z, T, Y ) }.
% 5.34/5.76 parent0: (28863) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 5.34/5.76 , Z, Y, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28865) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 5.34/5.76 ( Y, X, Z, T ) }.
% 5.34/5.76 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.34/5.76 , Z, Y, T ) }.
% 5.34/5.76 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 5.34/5.76 , X, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (372) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 5.34/5.76 cyclic( Y, Z, X, T ) }.
% 5.34/5.76 parent0: (28865) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 5.34/5.76 , X, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28867) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 5.34/5.76 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.34/5.76 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 5.34/5.76 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 5.34/5.76 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.34/5.76 , Y, T, Z ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := T
% 5.34/5.76 T := U
% 5.34/5.76 U := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := U
% 5.34/5.76 T := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (396) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 5.34/5.76 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.34/5.76 parent0: (28867) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 5.34/5.76 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 U := U
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28870) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 5.34/5.76 ) }.
% 5.34/5.76 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.34/5.76 }.
% 5.34/5.76 parent1[0]: (260) {G4,W8,D2,L2,V3,M2} F(247) { coll( X, Y, X ), ! coll( X,
% 5.34/5.76 Z, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (505) {G5,W8,D2,L2,V3,M2} R(260,1) { ! coll( X, Y, Z ), coll(
% 5.34/5.76 Z, X, X ) }.
% 5.34/5.76 parent0: (28870) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28871) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 5.34/5.76 ) }.
% 5.34/5.76 parent0[0]: (505) {G5,W8,D2,L2,V3,M2} R(260,1) { ! coll( X, Y, Z ), coll( Z
% 5.34/5.76 , X, X ) }.
% 5.34/5.76 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (520) {G6,W8,D2,L2,V3,M2} R(505,1) { coll( X, Y, Y ), ! coll(
% 5.34/5.76 Z, Y, X ) }.
% 5.34/5.76 parent0: (28871) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28872) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 5.34/5.76 ) }.
% 5.34/5.76 parent0[0]: (505) {G5,W8,D2,L2,V3,M2} R(260,1) { ! coll( X, Y, Z ), coll( Z
% 5.34/5.76 , X, X ) }.
% 5.34/5.76 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (521) {G6,W8,D2,L2,V3,M2} R(505,0) { coll( X, Y, Y ), ! coll(
% 5.34/5.76 Y, X, Z ) }.
% 5.34/5.76 parent0: (28872) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28873) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 5.34/5.76 ) }.
% 5.34/5.76 parent0[1]: (521) {G6,W8,D2,L2,V3,M2} R(505,0) { coll( X, Y, Y ), ! coll( Y
% 5.34/5.76 , X, Z ) }.
% 5.34/5.76 parent1[0]: (521) {G6,W8,D2,L2,V3,M2} R(505,0) { coll( X, Y, Y ), ! coll( Y
% 5.34/5.76 , X, Z ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (525) {G7,W8,D2,L2,V3,M2} R(521,521) { ! coll( X, Y, Z ), coll
% 5.34/5.76 ( X, Y, Y ) }.
% 5.34/5.76 parent0: (28873) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28877) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 5.34/5.76 X ), ! coll( X, Y, T ) }.
% 5.34/5.76 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.34/5.76 ), coll( Y, Z, X ) }.
% 5.34/5.76 parent1[1]: (525) {G7,W8,D2,L2,V3,M2} R(521,521) { ! coll( X, Y, Z ), coll
% 5.34/5.76 ( X, Y, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := T
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (543) {G8,W12,D2,L3,V4,M3} R(525,2) { ! coll( X, Y, Z ), !
% 5.34/5.76 coll( X, Y, T ), coll( T, Y, X ) }.
% 5.34/5.76 parent0: (28877) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 5.34/5.76 , ! coll( X, Y, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := T
% 5.34/5.76 T := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 2
% 5.34/5.76 2 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28880) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 5.34/5.76 }.
% 5.34/5.76 parent0[0, 1]: (543) {G8,W12,D2,L3,V4,M3} R(525,2) { ! coll( X, Y, Z ), !
% 5.34/5.76 coll( X, Y, T ), coll( T, Y, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (544) {G9,W8,D2,L2,V3,M2} F(543) { ! coll( X, Y, Z ), coll( Z
% 5.34/5.76 , Y, X ) }.
% 5.34/5.76 parent0: (28880) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28881) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 5.34/5.76 ) }.
% 5.34/5.76 parent0[0]: (544) {G9,W8,D2,L2,V3,M2} F(543) { ! coll( X, Y, Z ), coll( Z,
% 5.34/5.76 Y, X ) }.
% 5.34/5.76 parent1[0]: (520) {G6,W8,D2,L2,V3,M2} R(505,1) { coll( X, Y, Y ), ! coll( Z
% 5.34/5.76 , Y, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (548) {G10,W8,D2,L2,V3,M2} R(544,520) { coll( X, X, Y ), !
% 5.34/5.76 coll( Z, X, Y ) }.
% 5.34/5.76 parent0: (28881) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28882) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 5.34/5.76 ) }.
% 5.34/5.76 parent0[1]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 5.34/5.76 Z, X ) }.
% 5.34/5.76 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (574) {G2,W8,D2,L2,V3,M2} R(69,167) { ! midp( X, Y, Z ), coll
% 5.34/5.76 ( Z, X, Y ) }.
% 5.34/5.76 parent0: (28882) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28883) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 5.34/5.76 ) }.
% 5.34/5.76 parent0[1]: (548) {G10,W8,D2,L2,V3,M2} R(544,520) { coll( X, X, Y ), ! coll
% 5.34/5.76 ( Z, X, Y ) }.
% 5.34/5.76 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (581) {G11,W8,D2,L2,V3,M2} R(69,548) { ! midp( X, Y, Z ), coll
% 5.34/5.76 ( Y, Y, Z ) }.
% 5.34/5.76 parent0: (28883) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28884) {G1,W4,D2,L1,V0,M1} { coll( skol31, skol22, skol20 )
% 5.34/5.76 }.
% 5.34/5.76 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 5.34/5.76 }.
% 5.34/5.76 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol31, skol22, skol20 )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol31
% 5.34/5.76 Y := skol22
% 5.34/5.76 Z := skol20
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (603) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol31, skol22,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 parent0: (28884) {G1,W4,D2,L1,V0,M1} { coll( skol31, skol22, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28885) {G1,W8,D2,L2,V1,M2} { ! coll( skol31, skol22, X ),
% 5.34/5.76 coll( skol20, X, skol31 ) }.
% 5.34/5.76 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.34/5.76 ), coll( Y, Z, X ) }.
% 5.34/5.76 parent1[0]: (603) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol31, skol22,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol31
% 5.34/5.76 Y := skol20
% 5.34/5.76 Z := X
% 5.34/5.76 T := skol22
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (731) {G2,W8,D2,L2,V1,M2} R(603,2) { ! coll( skol31, skol22, X
% 5.34/5.76 ), coll( skol20, X, skol31 ) }.
% 5.34/5.76 parent0: (28885) {G1,W8,D2,L2,V1,M2} { ! coll( skol31, skol22, X ), coll(
% 5.34/5.76 skol20, X, skol31 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28887) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 5.34/5.76 , X, X ), ! para( X, Y, X, Y ) }.
% 5.34/5.76 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 5.34/5.76 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.34/5.76 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 5.34/5.76 , Y, U, W, Z, T, U, W ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := X
% 5.34/5.76 T := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 T := Y
% 5.34/5.76 U := X
% 5.34/5.76 W := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (807) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 5.34/5.76 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 5.34/5.76 parent0: (28887) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 5.34/5.76 , X ), ! para( X, Y, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28888) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 5.34/5.76 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 5.34/5.76 cyclic( X, Y, Z, T ) }.
% 5.34/5.76 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 5.34/5.76 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 5.34/5.76 ), cong( X, Y, Z, T ) }.
% 5.34/5.76 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 5.34/5.76 Z, X, Z, Y, T, X, T, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 T := Y
% 5.34/5.76 U := Z
% 5.34/5.76 W := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28890) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 5.34/5.76 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 5.34/5.76 parent0[0, 2]: (28888) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 5.34/5.76 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 5.34/5.76 cyclic( X, Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (921) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 5.34/5.76 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 5.34/5.76 parent0: (28890) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 5.34/5.76 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 3
% 5.34/5.76 3 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28895) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 5.34/5.76 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 5.34/5.76 parent0[0, 2]: (921) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 5.34/5.76 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (953) {G2,W15,D2,L3,V3,M3} F(921) { ! cyclic( X, Y, Z, X ), !
% 5.34/5.76 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 5.34/5.76 parent0: (28895) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 5.34/5.76 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28897) {G2,W8,D2,L2,V1,M2} { coll( skol20, X, skol31 ), !
% 5.34/5.76 coll( X, skol31, skol22 ) }.
% 5.34/5.76 parent0[0]: (731) {G2,W8,D2,L2,V1,M2} R(603,2) { ! coll( skol31, skol22, X
% 5.34/5.76 ), coll( skol20, X, skol31 ) }.
% 5.34/5.76 parent1[1]: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 5.34/5.76 Z, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := skol31
% 5.34/5.76 Z := skol22
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (986) {G3,W8,D2,L2,V1,M2} R(731,168) { coll( skol20, X, skol31
% 5.34/5.76 ), ! coll( X, skol31, skol22 ) }.
% 5.34/5.76 parent0: (28897) {G2,W8,D2,L2,V1,M2} { coll( skol20, X, skol31 ), ! coll(
% 5.34/5.76 X, skol31, skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28899) {G2,W8,D2,L2,V1,M2} { coll( X, skol31, skol20 ), !
% 5.34/5.76 coll( X, skol31, skol22 ) }.
% 5.34/5.76 parent0[0]: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 5.34/5.76 Z, X ) }.
% 5.34/5.76 parent1[0]: (986) {G3,W8,D2,L2,V1,M2} R(731,168) { coll( skol20, X, skol31
% 5.34/5.76 ), ! coll( X, skol31, skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol20
% 5.34/5.76 Y := X
% 5.34/5.76 Z := skol31
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (1878) {G4,W8,D2,L2,V1,M2} R(986,168) { ! coll( X, skol31,
% 5.34/5.76 skol22 ), coll( X, skol31, skol20 ) }.
% 5.34/5.76 parent0: (28899) {G2,W8,D2,L2,V1,M2} { coll( X, skol31, skol20 ), ! coll(
% 5.34/5.76 X, skol31, skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28902) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol31, Y ), coll(
% 5.34/5.76 skol20, Y, X ), ! coll( X, skol31, skol22 ) }.
% 5.34/5.76 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.34/5.76 ), coll( Y, Z, X ) }.
% 5.34/5.76 parent1[1]: (1878) {G4,W8,D2,L2,V1,M2} R(986,168) { ! coll( X, skol31,
% 5.34/5.76 skol22 ), coll( X, skol31, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := skol20
% 5.34/5.76 Z := Y
% 5.34/5.76 T := skol31
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (1896) {G5,W12,D2,L3,V2,M3} R(1878,2) { ! coll( X, skol31,
% 5.34/5.76 skol22 ), ! coll( X, skol31, Y ), coll( skol20, Y, X ) }.
% 5.34/5.76 parent0: (28902) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol31, Y ), coll(
% 5.34/5.76 skol20, Y, X ), ! coll( X, skol31, skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 1
% 5.34/5.76 1 ==> 2
% 5.34/5.76 2 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28906) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol31, skol22 ), coll(
% 5.34/5.76 skol20, skol22, X ) }.
% 5.34/5.76 parent0[0, 1]: (1896) {G5,W12,D2,L3,V2,M3} R(1878,2) { ! coll( X, skol31,
% 5.34/5.76 skol22 ), ! coll( X, skol31, Y ), coll( skol20, Y, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := skol22
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (1901) {G6,W8,D2,L2,V1,M2} F(1896) { ! coll( X, skol31, skol22
% 5.34/5.76 ), coll( skol20, skol22, X ) }.
% 5.34/5.76 parent0: (28906) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol31, skol22 ), coll(
% 5.34/5.76 skol20, skol22, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28907) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 5.34/5.76 skol24 ) }.
% 5.34/5.76 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 5.34/5.76 Z ) }.
% 5.34/5.76 parent1[0]: (334) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol25,
% 5.34/5.76 skol24 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol26
% 5.34/5.76 Y := skol25
% 5.34/5.76 Z := skol24
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (2471) {G2,W5,D2,L1,V0,M1} R(68,334) { cong( skol26, skol25,
% 5.34/5.76 skol26, skol24 ) }.
% 5.34/5.76 parent0: (28907) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 5.34/5.76 skol24 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28908) {G1,W5,D2,L1,V0,M1} { cong( skol31, skol22, skol31,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 5.34/5.76 Z ) }.
% 5.34/5.76 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol31, skol22, skol20 )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol31
% 5.34/5.76 Y := skol22
% 5.34/5.76 Z := skol20
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (2473) {G1,W5,D2,L1,V0,M1} R(68,122) { cong( skol31, skol22,
% 5.34/5.76 skol31, skol20 ) }.
% 5.34/5.76 parent0: (28908) {G1,W5,D2,L1,V0,M1} { cong( skol31, skol22, skol31,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28909) {G3,W8,D2,L2,V1,M2} { coll( skol20, skol22, X ), !
% 5.34/5.76 midp( skol31, skol22, X ) }.
% 5.34/5.76 parent0[0]: (1901) {G6,W8,D2,L2,V1,M2} F(1896) { ! coll( X, skol31, skol22
% 5.34/5.76 ), coll( skol20, skol22, X ) }.
% 5.34/5.76 parent1[1]: (574) {G2,W8,D2,L2,V3,M2} R(69,167) { ! midp( X, Y, Z ), coll(
% 5.34/5.76 Z, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := skol31
% 5.34/5.76 Y := skol22
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (3038) {G7,W8,D2,L2,V1,M2} R(1901,574) { coll( skol20, skol22
% 5.34/5.76 , X ), ! midp( skol31, skol22, X ) }.
% 5.34/5.76 parent0: (28909) {G3,W8,D2,L2,V1,M2} { coll( skol20, skol22, X ), ! midp(
% 5.34/5.76 skol31, skol22, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28910) {G2,W5,D2,L1,V0,M1} { circle( skol31, skol22, skol20,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 parent0[0]: (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 5.34/5.76 ( X, Y, Z, Z ) }.
% 5.34/5.76 parent1[0]: (2473) {G1,W5,D2,L1,V0,M1} R(68,122) { cong( skol31, skol22,
% 5.34/5.76 skol31, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol31
% 5.34/5.76 Y := skol22
% 5.34/5.76 Z := skol20
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (7115) {G2,W5,D2,L1,V0,M1} R(128,2473) { circle( skol31,
% 5.34/5.76 skol22, skol20, skol20 ) }.
% 5.34/5.76 parent0: (28910) {G2,W5,D2,L1,V0,M1} { circle( skol31, skol22, skol20,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28911) {G2,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol24,
% 5.34/5.76 skol24 ) }.
% 5.34/5.76 parent0[0]: (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 5.34/5.76 ( X, Y, Z, Z ) }.
% 5.34/5.76 parent1[0]: (2471) {G2,W5,D2,L1,V0,M1} R(68,334) { cong( skol26, skol25,
% 5.34/5.76 skol26, skol24 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol26
% 5.34/5.76 Y := skol25
% 5.34/5.76 Z := skol24
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (7117) {G3,W5,D2,L1,V0,M1} R(128,2471) { circle( skol26,
% 5.34/5.76 skol25, skol24, skol24 ) }.
% 5.34/5.76 parent0: (28911) {G2,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol24,
% 5.34/5.76 skol24 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28912) {G1,W9,D2,L2,V0,M2} { ! coll( skol31, skol22, skol20 )
% 5.34/5.76 , perp( skol22, skol20, skol20, skol20 ) }.
% 5.34/5.76 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 5.34/5.76 , X, Z ), perp( X, Y, Y, Z ) }.
% 5.34/5.76 parent1[0]: (7115) {G2,W5,D2,L1,V0,M1} R(128,2473) { circle( skol31, skol22
% 5.34/5.76 , skol20, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol22
% 5.34/5.76 Y := skol20
% 5.34/5.76 Z := skol20
% 5.34/5.76 T := skol31
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28913) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol20,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 parent0[0]: (28912) {G1,W9,D2,L2,V0,M2} { ! coll( skol31, skol22, skol20 )
% 5.34/5.76 , perp( skol22, skol20, skol20, skol20 ) }.
% 5.34/5.76 parent1[0]: (603) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol31, skol22,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (7127) {G3,W5,D2,L1,V0,M1} R(7115,53);r(603) { perp( skol22,
% 5.34/5.76 skol20, skol20, skol20 ) }.
% 5.34/5.76 parent0: (28913) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol20,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28914) {G1,W12,D3,L2,V2,M2} { ! coll( skol20, X, Y ), perp(
% 5.34/5.76 skol16( skol22, X, Y ), skol22, X, Y ) }.
% 5.34/5.76 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 5.34/5.76 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.34/5.76 parent1[0]: (7127) {G3,W5,D2,L1,V0,M1} R(7115,53);r(603) { perp( skol22,
% 5.34/5.76 skol20, skol20, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol22
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 T := skol20
% 5.34/5.76 U := skol20
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (7133) {G4,W12,D3,L2,V2,M2} R(7127,110) { ! coll( skol20, X, Y
% 5.34/5.76 ), perp( skol16( skol22, X, Y ), skol22, X, Y ) }.
% 5.34/5.76 parent0: (28914) {G1,W12,D3,L2,V2,M2} { ! coll( skol20, X, Y ), perp(
% 5.34/5.76 skol16( skol22, X, Y ), skol22, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28915) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 5.34/5.76 skol25, skol25, skol26 ) }.
% 5.34/5.76 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 5.34/5.76 skol12( X, Y ), X, X, Y ) }.
% 5.34/5.76 parent1[0]: (7117) {G3,W5,D2,L1,V0,M1} R(128,2471) { circle( skol26, skol25
% 5.34/5.76 , skol24, skol24 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol25
% 5.34/5.76 Y := skol26
% 5.34/5.76 Z := skol24
% 5.34/5.76 T := skol24
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (7892) {G4,W7,D3,L1,V0,M1} R(7117,100) { perp( skol12( skol25
% 5.34/5.76 , skol26 ), skol25, skol25, skol26 ) }.
% 5.34/5.76 parent0: (28915) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 5.34/5.76 skol25, skol25, skol26 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28916) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol22, skol20 ), !
% 5.34/5.76 coll( skol22, skol22, skol20 ), midp( skol7( skol22, Y ), skol22, Y ), !
% 5.34/5.76 midp( skol31, skol22, skol20 ) }.
% 5.34/5.76 parent0[2]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 5.34/5.76 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.34/5.76 parent1[0]: (3038) {G7,W8,D2,L2,V1,M2} R(1901,574) { coll( skol20, skol22,
% 5.34/5.76 X ), ! midp( skol31, skol22, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := skol22
% 5.34/5.76 Z := skol20
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := skol20
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28919) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol22, skol20 ),
% 5.34/5.76 midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol31, skol22, skol20 )
% 5.34/5.76 }.
% 5.34/5.76 parent0[1]: (28916) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol22, skol20 ), !
% 5.34/5.76 coll( skol22, skol22, skol20 ), midp( skol7( skol22, Y ), skol22, Y ), !
% 5.34/5.76 midp( skol31, skol22, skol20 ) }.
% 5.34/5.76 parent1[0]: (307) {G5,W4,D2,L1,V0,M1} R(246,0) { coll( skol22, skol22,
% 5.34/5.76 skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (7945) {G8,W14,D3,L3,V2,M3} R(148,3038);r(307) { ! midp( X,
% 5.34/5.76 skol22, skol20 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol31,
% 5.34/5.76 skol22, skol20 ) }.
% 5.34/5.76 parent0: (28919) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol22, skol20 ), midp
% 5.34/5.76 ( skol7( skol22, Y ), skol22, Y ), ! midp( skol31, skol22, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 1 ==> 1
% 5.34/5.76 2 ==> 2
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 factor: (28921) {G8,W10,D3,L2,V1,M2} { ! midp( skol31, skol22, skol20 ),
% 5.34/5.76 midp( skol7( skol22, X ), skol22, X ) }.
% 5.34/5.76 parent0[0, 2]: (7945) {G8,W14,D3,L3,V2,M3} R(148,3038);r(307) { ! midp( X,
% 5.34/5.76 skol22, skol20 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol31,
% 5.34/5.76 skol22, skol20 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol31
% 5.34/5.76 Y := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28922) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22
% 5.34/5.76 , X ) }.
% 5.34/5.76 parent0[0]: (28921) {G8,W10,D3,L2,V1,M2} { ! midp( skol31, skol22, skol20
% 5.34/5.76 ), midp( skol7( skol22, X ), skol22, X ) }.
% 5.34/5.76 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol31, skol22, skol20 )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8055) {G9,W6,D3,L1,V1,M1} F(7945);r(122) { midp( skol7(
% 5.34/5.76 skol22, X ), skol22, X ) }.
% 5.34/5.76 parent0: (28922) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22, X
% 5.34/5.76 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28923) {G10,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 5.34/5.76 parent0[0]: (581) {G11,W8,D2,L2,V3,M2} R(69,548) { ! midp( X, Y, Z ), coll
% 5.34/5.76 ( Y, Y, Z ) }.
% 5.34/5.76 parent1[0]: (8055) {G9,W6,D3,L1,V1,M1} F(7945);r(122) { midp( skol7( skol22
% 5.34/5.76 , X ), skol22, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol7( skol22, X )
% 5.34/5.76 Y := skol22
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8301) {G12,W4,D2,L1,V1,M1} R(8055,581) { coll( skol22, skol22
% 5.34/5.76 , X ) }.
% 5.34/5.76 parent0: (28923) {G10,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28924) {G1,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 5.34/5.76 coll( X, Y, skol22 ) }.
% 5.34/5.76 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.34/5.76 ), coll( Y, Z, X ) }.
% 5.34/5.76 parent1[0]: (8301) {G12,W4,D2,L1,V1,M1} R(8055,581) { coll( skol22, skol22
% 5.34/5.76 , X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol22
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 T := skol22
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28926) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol22 ) }.
% 5.34/5.76 parent0[0]: (28924) {G1,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 5.34/5.76 coll( X, Y, skol22 ) }.
% 5.34/5.76 parent1[0]: (8301) {G12,W4,D2,L1,V1,M1} R(8055,581) { coll( skol22, skol22
% 5.34/5.76 , X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8396) {G13,W4,D2,L1,V2,M1} R(8301,2);r(8301) { coll( Y, X,
% 5.34/5.76 skol22 ) }.
% 5.34/5.76 parent0: (28926) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28927) {G2,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 5.34/5.76 parent0[0]: (168) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 5.34/5.76 Z, X ) }.
% 5.34/5.76 parent1[0]: (8396) {G13,W4,D2,L1,V2,M1} R(8301,2);r(8301) { coll( Y, X,
% 5.34/5.76 skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := skol22
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8421) {G14,W4,D2,L1,V2,M1} R(8396,168) { coll( X, skol22, Y )
% 5.34/5.76 }.
% 5.34/5.76 parent0: (28927) {G2,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28928) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 5.34/5.76 , Z, X ) }.
% 5.34/5.76 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.34/5.76 ), coll( Y, Z, X ) }.
% 5.34/5.76 parent1[0]: (8421) {G14,W4,D2,L1,V2,M1} R(8396,168) { coll( X, skol22, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := skol22
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28930) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 5.34/5.76 parent0[0]: (28928) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 5.34/5.76 , Z, X ) }.
% 5.34/5.76 parent1[0]: (8421) {G14,W4,D2,L1,V2,M1} R(8396,168) { coll( X, skol22, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8434) {G15,W4,D2,L1,V3,M1} R(8421,2);r(8421) { coll( Z, Y, X
% 5.34/5.76 ) }.
% 5.34/5.76 parent0: (28930) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28931) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol12(
% 5.34/5.76 skol25, skol26 ), skol25 ) }.
% 5.34/5.76 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.34/5.76 X, Y ) }.
% 5.34/5.76 parent1[0]: (7892) {G4,W7,D3,L1,V0,M1} R(7117,100) { perp( skol12( skol25,
% 5.34/5.76 skol26 ), skol25, skol25, skol26 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol12( skol25, skol26 )
% 5.34/5.76 Y := skol25
% 5.34/5.76 Z := skol25
% 5.34/5.76 T := skol26
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8620) {G5,W7,D3,L1,V0,M1} R(7892,7) { perp( skol25, skol26,
% 5.34/5.76 skol12( skol25, skol26 ), skol25 ) }.
% 5.34/5.76 parent0: (28931) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol12(
% 5.34/5.76 skol25, skol26 ), skol25 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28932) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol25,
% 5.34/5.76 skol12( skol25, skol26 ) ) }.
% 5.34/5.76 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 5.34/5.76 T, Z ) }.
% 5.34/5.76 parent1[0]: (8620) {G5,W7,D3,L1,V0,M1} R(7892,7) { perp( skol25, skol26,
% 5.34/5.76 skol12( skol25, skol26 ), skol25 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol25
% 5.34/5.76 Y := skol26
% 5.34/5.76 Z := skol12( skol25, skol26 )
% 5.34/5.76 T := skol25
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8629) {G6,W7,D3,L1,V0,M1} R(8620,6) { perp( skol25, skol26,
% 5.34/5.76 skol25, skol12( skol25, skol26 ) ) }.
% 5.34/5.76 parent0: (28932) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol25,
% 5.34/5.76 skol12( skol25, skol26 ) ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28933) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 5.34/5.76 skol26 ), skol25, skol26 ) }.
% 5.34/5.76 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.34/5.76 X, Y ) }.
% 5.34/5.76 parent1[0]: (8629) {G6,W7,D3,L1,V0,M1} R(8620,6) { perp( skol25, skol26,
% 5.34/5.76 skol25, skol12( skol25, skol26 ) ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol25
% 5.34/5.76 Y := skol26
% 5.34/5.76 Z := skol25
% 5.34/5.76 T := skol12( skol25, skol26 )
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8637) {G7,W7,D3,L1,V0,M1} R(8629,7) { perp( skol25, skol12(
% 5.34/5.76 skol25, skol26 ), skol25, skol26 ) }.
% 5.34/5.76 parent0: (28933) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 5.34/5.76 skol26 ), skol25, skol26 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28934) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 5.34/5.76 skol26 ), skol26, skol25 ) }.
% 5.34/5.76 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 5.34/5.76 T, Z ) }.
% 5.34/5.76 parent1[0]: (8637) {G7,W7,D3,L1,V0,M1} R(8629,7) { perp( skol25, skol12(
% 5.34/5.76 skol25, skol26 ), skol25, skol26 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol25
% 5.34/5.76 Y := skol12( skol25, skol26 )
% 5.34/5.76 Z := skol25
% 5.34/5.76 T := skol26
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8646) {G8,W7,D3,L1,V0,M1} R(8637,6) { perp( skol25, skol12(
% 5.34/5.76 skol25, skol26 ), skol26, skol25 ) }.
% 5.34/5.76 parent0: (28934) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 5.34/5.76 skol26 ), skol26, skol25 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28935) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol25, skol25,
% 5.34/5.76 skol12( skol25, skol26 ) ) }.
% 5.34/5.76 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.34/5.76 X, Y ) }.
% 5.34/5.76 parent1[0]: (8646) {G8,W7,D3,L1,V0,M1} R(8637,6) { perp( skol25, skol12(
% 5.34/5.76 skol25, skol26 ), skol26, skol25 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol25
% 5.34/5.76 Y := skol12( skol25, skol26 )
% 5.34/5.76 Z := skol26
% 5.34/5.76 T := skol25
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8655) {G9,W7,D3,L1,V0,M1} R(8646,7) { perp( skol26, skol25,
% 5.34/5.76 skol25, skol12( skol25, skol26 ) ) }.
% 5.34/5.76 parent0: (28935) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol25, skol25,
% 5.34/5.76 skol12( skol25, skol26 ) ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28936) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol26
% 5.34/5.76 ), X, Y ), perp( skol16( skol26, X, Y ), skol26, X, Y ) }.
% 5.34/5.76 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 5.34/5.76 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.34/5.76 parent1[0]: (8655) {G9,W7,D3,L1,V0,M1} R(8646,7) { perp( skol26, skol25,
% 5.34/5.76 skol25, skol12( skol25, skol26 ) ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol26
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 T := skol12( skol25, skol26 )
% 5.34/5.76 U := skol25
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28937) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol26, X, Y ),
% 5.34/5.76 skol26, X, Y ) }.
% 5.34/5.76 parent0[0]: (28936) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol26
% 5.34/5.76 ), X, Y ), perp( skol16( skol26, X, Y ), skol26, X, Y ) }.
% 5.34/5.76 parent1[0]: (8434) {G15,W4,D2,L1,V3,M1} R(8421,2);r(8421) { coll( Z, Y, X )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := skol12( skol25, skol26 )
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (8657) {G16,W8,D3,L1,V2,M1} R(8655,110);r(8434) { perp( skol16
% 5.34/5.76 ( skol26, X, Y ), skol26, X, Y ) }.
% 5.34/5.76 parent0: (28937) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol26, X, Y ),
% 5.34/5.76 skol26, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28938) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol26, skol16(
% 5.34/5.76 skol26, X, Y ) ) }.
% 5.34/5.76 parent0[0]: (276) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 5.34/5.76 ( Z, T, Y, X ) }.
% 5.34/5.76 parent1[0]: (8657) {G16,W8,D3,L1,V2,M1} R(8655,110);r(8434) { perp( skol16
% 5.34/5.76 ( skol26, X, Y ), skol26, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol16( skol26, X, Y )
% 5.34/5.76 Y := skol26
% 5.34/5.76 Z := X
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (10325) {G17,W8,D3,L1,V2,M1} R(8657,276) { perp( X, Y, skol26
% 5.34/5.76 , skol16( skol26, X, Y ) ) }.
% 5.34/5.76 parent0: (28938) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol26, skol16( skol26
% 5.34/5.76 , X, Y ) ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28939) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 5.34/5.76 parent0[0]: (300) {G2,W10,D2,L2,V4,M2} F(288) { ! perp( X, Y, Z, T ), para
% 5.34/5.76 ( X, Y, X, Y ) }.
% 5.34/5.76 parent1[0]: (10325) {G17,W8,D3,L1,V2,M1} R(8657,276) { perp( X, Y, skol26,
% 5.34/5.76 skol16( skol26, X, Y ) ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := skol26
% 5.34/5.76 T := skol16( skol26, X, Y )
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (10726) {G18,W5,D2,L1,V2,M1} R(300,10325) { para( X, Y, X, Y )
% 5.34/5.76 }.
% 5.34/5.76 parent0: (28939) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28940) {G5,W8,D3,L1,V2,M1} { perp( skol16( skol22, X, Y ),
% 5.34/5.76 skol22, X, Y ) }.
% 5.34/5.76 parent0[0]: (7133) {G4,W12,D3,L2,V2,M2} R(7127,110) { ! coll( skol20, X, Y
% 5.34/5.76 ), perp( skol16( skol22, X, Y ), skol22, X, Y ) }.
% 5.34/5.76 parent1[0]: (8434) {G15,W4,D2,L1,V3,M1} R(8421,2);r(8421) { coll( Z, Y, X )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := skol20
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (20038) {G16,W8,D3,L1,V2,M1} S(7133);r(8434) { perp( skol16(
% 5.34/5.76 skol22, X, Y ), skol22, X, Y ) }.
% 5.34/5.76 parent0: (28940) {G5,W8,D3,L1,V2,M1} { perp( skol16( skol22, X, Y ),
% 5.34/5.76 skol22, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28941) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 5.34/5.76 , Z, X, Z ) }.
% 5.34/5.76 parent0[0]: (807) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 5.34/5.76 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 5.34/5.76 parent1[0]: (8434) {G15,W4,D2,L1,V3,M1} R(8421,2);r(8421) { coll( Z, Y, X )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Y
% 5.34/5.76 Y := X
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28942) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 5.34/5.76 parent0[1]: (28941) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 5.34/5.76 , Z, X, Z ) }.
% 5.34/5.76 parent1[0]: (10726) {G18,W5,D2,L1,V2,M1} R(300,10325) { para( X, Y, X, Y )
% 5.34/5.76 }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (20128) {G19,W5,D2,L1,V3,M1} S(807);r(8434);r(10726) { cyclic
% 5.34/5.76 ( Z, Y, X, X ) }.
% 5.34/5.76 parent0: (28942) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28943) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 5.34/5.76 parent0[0]: (372) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 5.34/5.76 cyclic( Y, Z, X, T ) }.
% 5.34/5.76 parent1[0]: (20128) {G19,W5,D2,L1,V3,M1} S(807);r(8434);r(10726) { cyclic(
% 5.34/5.76 Z, Y, X, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (20194) {G20,W5,D2,L1,V3,M1} R(20128,372) { cyclic( X, Y, Z, Y
% 5.34/5.76 ) }.
% 5.34/5.76 parent0: (28943) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28944) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 5.34/5.76 parent0[0]: (363) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 5.34/5.76 cyclic( X, Z, T, Y ) }.
% 5.34/5.76 parent1[0]: (20128) {G19,W5,D2,L1,V3,M1} S(807);r(8434);r(10726) { cyclic(
% 5.34/5.76 Z, Y, X, X ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := Z
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (20196) {G20,W5,D2,L1,V3,M1} R(20128,363) { cyclic( X, Y, Y, Z
% 5.34/5.76 ) }.
% 5.34/5.76 parent0: (28944) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28946) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 5.34/5.76 ( Y, Y, Z, T ) }.
% 5.34/5.76 parent0[2]: (396) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 5.34/5.76 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.34/5.76 parent1[0]: (20194) {G20,W5,D2,L1,V3,M1} R(20128,372) { cyclic( X, Y, Z, Y
% 5.34/5.76 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Y
% 5.34/5.76 T := Z
% 5.34/5.76 U := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := T
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28947) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 5.34/5.76 parent0[0]: (28946) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 5.34/5.76 ( Y, Y, Z, T ) }.
% 5.34/5.76 parent1[0]: (20196) {G20,W5,D2,L1,V3,M1} R(20128,363) { cyclic( X, Y, Y, Z
% 5.34/5.76 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (20201) {G21,W5,D2,L1,V3,M1} R(20194,396);r(20196) { cyclic( Y
% 5.34/5.76 , Y, Z, T ) }.
% 5.34/5.76 parent0: (28947) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := U
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28948) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 5.34/5.76 ( X, X, T, Y ) }.
% 5.34/5.76 parent0[0]: (396) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 5.34/5.76 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.34/5.76 parent1[0]: (20201) {G21,W5,D2,L1,V3,M1} R(20194,396);r(20196) { cyclic( Y
% 5.34/5.76 , Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 T := Z
% 5.34/5.76 U := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := U
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 T := Z
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28950) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 5.34/5.76 parent0[1]: (28948) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 5.34/5.76 ( X, X, T, Y ) }.
% 5.34/5.76 parent1[0]: (20201) {G21,W5,D2,L1,V3,M1} R(20194,396);r(20196) { cyclic( Y
% 5.34/5.76 , Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := U
% 5.34/5.76 Y := X
% 5.34/5.76 Z := T
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (20209) {G22,W5,D2,L1,V4,M1} R(20201,396);r(20201) { cyclic( X
% 5.34/5.76 , Y, Z, T ) }.
% 5.34/5.76 parent0: (28950) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28951) {G2,W8,D3,L1,V0,M1} { ! para( skol22, skol23, skol16(
% 5.34/5.76 skol22, skol20, skol23 ), skol22 ) }.
% 5.34/5.76 parent0[1]: (326) {G1,W10,D2,L2,V2,M2} R(9,125) { ! para( skol22, skol23, X
% 5.34/5.76 , Y ), ! perp( X, Y, skol20, skol23 ) }.
% 5.34/5.76 parent1[0]: (20038) {G16,W8,D3,L1,V2,M1} S(7133);r(8434) { perp( skol16(
% 5.34/5.76 skol22, X, Y ), skol22, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := skol16( skol22, skol20, skol23 )
% 5.34/5.76 Y := skol22
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := skol20
% 5.34/5.76 Y := skol23
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (23639) {G17,W8,D3,L1,V0,M1} R(20038,326) { ! para( skol22,
% 5.34/5.76 skol23, skol16( skol22, skol20, skol23 ), skol22 ) }.
% 5.34/5.76 parent0: (28951) {G2,W8,D3,L1,V0,M1} { ! para( skol22, skol23, skol16(
% 5.34/5.76 skol22, skol20, skol23 ), skol22 ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28954) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 5.34/5.76 , Y, X, Y ) }.
% 5.34/5.76 parent0[0]: (953) {G2,W15,D2,L3,V3,M3} F(921) { ! cyclic( X, Y, Z, X ), !
% 5.34/5.76 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 5.34/5.76 parent1[0]: (20209) {G22,W5,D2,L1,V4,M1} R(20201,396);r(20201) { cyclic( X
% 5.34/5.76 , Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28956) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 5.34/5.76 parent0[0]: (28954) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 5.34/5.76 , Y, X, Y ) }.
% 5.34/5.76 parent1[0]: (20209) {G22,W5,D2,L1,V4,M1} R(20201,396);r(20201) { cyclic( X
% 5.34/5.76 , Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (28119) {G23,W5,D2,L1,V2,M1} S(953);r(20209);r(20209) { cong(
% 5.34/5.76 X, Y, X, Y ) }.
% 5.34/5.76 parent0: (28956) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28957) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 5.34/5.76 X, Y, Z ) }.
% 5.34/5.76 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 5.34/5.76 T, Y, T ), perp( X, Y, Z, T ) }.
% 5.34/5.76 parent1[0]: (28119) {G23,W5,D2,L1,V2,M1} S(953);r(20209);r(20209) { cong( X
% 5.34/5.76 , Y, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 T := Z
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28959) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 5.34/5.76 parent0[0]: (28957) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 5.34/5.76 X, Y, Z ) }.
% 5.34/5.76 parent1[0]: (28119) {G23,W5,D2,L1,V2,M1} S(953);r(20209);r(20209) { cong( X
% 5.34/5.76 , Y, X, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (28130) {G24,W5,D2,L1,V3,M1} R(28119,56);r(28119) { perp( X, X
% 5.34/5.76 , Z, Y ) }.
% 5.34/5.76 parent0: (28959) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28960) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 5.34/5.76 X, T, U ) }.
% 5.34/5.76 parent0[0]: (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 5.34/5.76 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 5.34/5.76 parent1[0]: (28130) {G24,W5,D2,L1,V3,M1} R(28119,56);r(28119) { perp( X, X
% 5.34/5.76 , Z, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := X
% 5.34/5.76 Z := Y
% 5.34/5.76 T := Z
% 5.34/5.76 U := T
% 5.34/5.76 W := U
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := Y
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28962) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 5.34/5.76 parent0[1]: (28960) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 5.34/5.76 X, T, U ) }.
% 5.34/5.76 parent1[0]: (28130) {G24,W5,D2,L1,V3,M1} R(28119,56);r(28119) { perp( X, X
% 5.34/5.76 , Z, Y ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := U
% 5.34/5.76 Y := Z
% 5.34/5.76 Z := T
% 5.34/5.76 T := X
% 5.34/5.76 U := Y
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := U
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := X
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (28167) {G25,W5,D2,L1,V4,M1} R(28130,287);r(28130) { para( X,
% 5.34/5.76 Y, Z, T ) }.
% 5.34/5.76 parent0: (28962) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 X := X
% 5.34/5.76 Y := Y
% 5.34/5.76 Z := Z
% 5.34/5.76 T := T
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 0 ==> 0
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 resolution: (28963) {G18,W0,D0,L0,V0,M0} { }.
% 5.34/5.76 parent0[0]: (23639) {G17,W8,D3,L1,V0,M1} R(20038,326) { ! para( skol22,
% 5.34/5.76 skol23, skol16( skol22, skol20, skol23 ), skol22 ) }.
% 5.34/5.76 parent1[0]: (28167) {G25,W5,D2,L1,V4,M1} R(28130,287);r(28130) { para( X, Y
% 5.34/5.76 , Z, T ) }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 substitution1:
% 5.34/5.76 X := skol22
% 5.34/5.76 Y := skol23
% 5.34/5.76 Z := skol16( skol22, skol20, skol23 )
% 5.34/5.76 T := skol22
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 subsumption: (28179) {G26,W0,D0,L0,V0,M0} R(28167,23639) { }.
% 5.34/5.76 parent0: (28963) {G18,W0,D0,L0,V0,M0} { }.
% 5.34/5.76 substitution0:
% 5.34/5.76 end
% 5.34/5.76 permutation0:
% 5.34/5.76 end
% 5.34/5.76
% 5.34/5.76 Proof check complete!
% 5.34/5.76
% 5.34/5.76 Memory use:
% 5.34/5.76
% 5.34/5.76 space for terms: 437391
% 5.34/5.76 space for clauses: 1468503
% 5.34/5.76
% 5.34/5.76
% 5.34/5.76 clauses generated: 146673
% 5.34/5.76 clauses kept: 28180
% 5.34/5.76 clauses selected: 2204
% 5.34/5.76 clauses deleted: 6568
% 5.34/5.76 clauses inuse deleted: 626
% 5.34/5.76
% 5.34/5.76 subsentry: 2199404
% 5.34/5.76 literals s-matched: 1396107
% 5.34/5.76 literals matched: 886037
% 5.34/5.76 full subsumption: 382202
% 5.34/5.76
% 5.34/5.76 checksum: 1659455467
% 5.34/5.76
% 5.34/5.76
% 5.34/5.76 Bliksem ended
%------------------------------------------------------------------------------